/*
    JSXGraph 1.7.0

    Copyright 2008-2023
        Matthias Ehmann,
        Michael Gerhaeuser,
        Carsten Miller,
        Bianca Valentin,
        Andreas Walter,
        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 <https://www.gnu.org/licenses/>
    and <https://opensource.org/licenses/MIT/>.
*/

/**
 * 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.
 */
!function(t,e){"object"==typeof exports&&"object"==typeof module?module.exports=e():"function"==typeof define&&define.amd?define([],e):"object"==typeof exports?exports.JXG=e():t.JXG=e()}("undefined"!=typeof self?self:this,(function(){return function(){"use strict";var __webpack_modules__={351:function(t,e,i){var s,r=i(765),o="1.7.0";s={version:o,licenseText:"JSXGraph v1.7.0 Copyright (C) see https://jsxgraph.org",COORDS_BY_USER:1,COORDS_BY_SCREEN:2,OBJECT_TYPE_ARC:1,OBJECT_TYPE_ARROW:2,OBJECT_TYPE_AXIS:3,OBJECT_TYPE_AXISPOINT:4,OBJECT_TYPE_TICKS:5,OBJECT_TYPE_CIRCLE:6,OBJECT_TYPE_CONIC:7,OBJECT_TYPE_CURVE:8,OBJECT_TYPE_GLIDER:9,OBJECT_TYPE_IMAGE:10,OBJECT_TYPE_LINE:11,OBJECT_TYPE_POINT:12,OBJECT_TYPE_SLIDER:13,OBJECT_TYPE_CAS:14,OBJECT_TYPE_GXTCAS:15,OBJECT_TYPE_POLYGON:16,OBJECT_TYPE_SECTOR:17,OBJECT_TYPE_TEXT:18,OBJECT_TYPE_ANGLE:19,OBJECT_TYPE_INTERSECTION:20,OBJECT_TYPE_TURTLE:21,OBJECT_TYPE_VECTOR:22,OBJECT_TYPE_OPROJECT:23,OBJECT_TYPE_GRID:24,OBJECT_TYPE_TANGENT:25,OBJECT_TYPE_HTMLSLIDER:26,OBJECT_TYPE_CHECKBOX:27,OBJECT_TYPE_INPUT:28,OBJECT_TYPE_BUTTON:29,OBJECT_TYPE_TRANSFORMATION:30,OBJECT_TYPE_FOREIGNOBJECT:31,OBJECT_TYPE_VIEW3D:32,OBJECT_TYPE_POINT3D:33,OBJECT_TYPE_LINE3D:34,OBJECT_TYPE_PLANE3D:35,OBJECT_TYPE_CURVE3D:36,OBJECT_TYPE_SURFACE3D:37,OBJECT_TYPE_MEASUREMENT:38,OBJECT_CLASS_POINT:1,OBJECT_CLASS_LINE:2,OBJECT_CLASS_CIRCLE:3,OBJECT_CLASS_CURVE:4,OBJECT_CLASS_AREA:5,OBJECT_CLASS_OTHER:6,OBJECT_CLASS_TEXT:7,OBJECT_CLASS_3D:8},r.Z.extendConstants(r.Z,s),e.Z=s},705:function(t,e,i){var 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this},updateCoords:function(t){return this.needsUpdate?(c.Z.exists(t)||(t=!1),c.Z.evaluate(this.visProp.frozen)||this.updateConstraint(),this.type===l.Z.OBJECT_TYPE_GLIDER&&(this.isConstrained&&(t=!1),t?this.updateGliderFromParent():this.updateGlider()),this.updateTransform(t),this):this},updateGlider:function(){var t,e,i,s,n,a,d,u,p,f,_,g,m,b,v,Z,C,y,P,E,O=2*Math.PI,x=!1,S=this.slideObject,w=[];if(this.needsUpdateFromParent=!1,S.elementClass===l.Z.OBJECT_CLASS_CIRCLE)c.Z.evaluate(this.visProp.isgeonext)&&(O=1),b=o.Z.projectPointToCircle(this,S,this.board),v=o.Z.rad([S.center.X()+1,S.center.Y()],S.center,this)/O;else 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c.Z.isPoint(S)&&(b=o.Z.projectPointToPoint(this,S,this.board),v=this.position);this.coords.setCoordinates(l.Z.COORDS_BY_USER,b.usrCoords,x),this.position=v},findClosestSnapValue:function(t){var e,i,s,o,n=null;if(s=c.Z.evaluate(this.visProp.snapvalues),o=c.Z.evaluate(this.visProp.snapvaluedistance),c.Z.isArray(s)&&Math.abs(this._smax-this._smin)>=r.Z.eps&&o>0)for(e=0;e<s.length;e++)(i=Math.abs(t*(this._smax-this._smin)+this._smin-s[e]))<o&&(o=i,n=e);return n},updateGliderFromParent:function(){var t,e,i,s,n,a,d,u,p,f,_,g,m=this.slideObject,b=[],v=2*Math.PI;if(this.needsUpdateFromParent){if(m.elementClass===l.Z.OBJECT_CLASS_CIRCLE)i=m.Radius(),c.Z.evaluate(this.visProp.isgeonext)&&(v=1),n=[m.center.X()+i*Math.cos(this.position*v),m.center.Y()+i*Math.sin(this.position*v)];else if(m.elementClass===l.Z.OBJECT_CLASS_LINE)t=m.point1.coords.usrCoords,e=m.point2.coords.usrCoords,0===t[0]&&0===t[1]&&0===t[2]||0===e[0]&&0===e[1]&&0===e[2]?n=[0,0,0]:Math.abs(e[0])<r.Z.eps?(s=Math.min(Math.abs(this.position),1-r.Z.eps),s/=1-s,this.position<0&&(s=-s),n=[t[0]+s*e[0],t[1]+s*e[1],t[2]+s*e[2]]):Math.abs(t[0])<r.Z.eps?(s=Math.max(this.position,r.Z.eps),s=(s=Math.min(s,2-r.Z.eps))>1?(s-1)/(s-2):(1-s)/s,n=[e[0]+s*t[0],e[1]+s*t[1],e[2]+s*t[2]]):(s=this.position,n=[t[0]+s*(e[0]-t[0]),t[1]+s*(e[1]-t[1]),t[2]+s*(e[2]-t[2])]);else if(m.type===l.Z.OBJECT_TYPE_TURTLE)this.coords.setCoordinates(l.Z.COORDS_BY_USER,[m.Z(this.position),m.X(this.position),m.Y(this.position)]),this.updateConstraint(),n=o.Z.projectPointToTurtle(this,m,this.board)[0].usrCoords;else 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this.needsUpdate&&this.board.renderer?(this.visPropCalc.visible&&(this.isReal=!isNaN(this.coords.usrCoords[1]+this.coords.usrCoords[2]),this.isReal=Math.abs(this.coords.usrCoords[0])>r.Z.eps&&this.isReal,this.isReal||this.updateVisibility(!1)),this.visPropCalc.visible&&this.board.renderer[t](this),this.hasLabel&&this.visPropCalc.visible&&this.label&&this.label.visPropCalc.visible&&this.isReal&&(this.label.update(),this.board.renderer.updateText(this.label)),this.setDisplayRendNode(),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]},Coords:function(t){return t?this.coords.usrCoords.slice():this.coords.usrCoords.slice(1)},XEval:function(){return this.coords.usrCoords[1]},YEval:function(){return this.coords.usrCoords[2]},ZEval:function(){return this.coords.usrCoords[0]},Dist:function(t){return this.isReal&&t.isReal?this.coords.distance(l.Z.COORDS_BY_USER,t.coords):NaN},snapToGrid:function(t){return this.handleSnapToGrid(t)},handleSnapToPoints:function(t){var e,i,s,r,n,a,h,d,u=0,p=1/0,f=null,_=c.Z.evaluate(this.visProp.ignoredsnaptopoints),g=!1;if(r=this.board.objectsList.length,_&&(h=_.length),c.Z.evaluate(this.visProp.snaptopoints)||t){for(n=c.Z.evaluate(this.visProp.attractorunit),a=c.Z.evaluate(this.visProp.attractordistance),e=0;e<r;e++){if(i=this.board.objectsList[e],_){for(g=!1,d=0;d<h;d++)if(i===this.board.select(_[d])){g=!0;break}if(g)continue}c.Z.isPoint(i)&&i!==this&&i.visPropCalc.visible&&(s=o.Z.projectPointToPoint(this,i,this.board),(u="screen"===n?s.distance(l.Z.COORDS_BY_SCREEN,this.coords):s.distance(l.Z.COORDS_BY_USER,this.coords))<a&&u<p&&(p=u,f=s))}null!==f&&this.coords.setCoordinates(l.Z.COORDS_BY_USER,f.usrCoords)}return this},snapToPoints:function(t){return this.handleSnapToPoints(t)},handleAttractors:function(){var t,e,i,s,r=0,n=c.Z.evaluate(this.visProp.attractorunit),a=c.Z.evaluate(this.visProp.attractordistance),d=c.Z.evaluate(this.visProp.snatchdistance),u=c.Z.evaluate(this.visProp.attractors),p=u.length;if(0!==a){for(t=0;t<p;t++)if(e=this.board.select(u[t]),c.Z.exists(e)&&e!==this){if(c.Z.isPoint(e)?i=o.Z.projectPointToPoint(this,e,this.board):e.elementClass===l.Z.OBJECT_CLASS_LINE?(s=o.Z.projectCoordsToSegment(this.coords.usrCoords,e.point1.coords.usrCoords,e.point2.coords.usrCoords),i=!c.Z.evaluate(e.visProp.straightfirst)&&s[1]<0?e.point1.coords:!c.Z.evaluate(e.visProp.straightlast)&&s[1]>1?e.point2.coords:new h.Z(l.Z.COORDS_BY_USER,s[0],this.board)):e.elementClass===l.Z.OBJECT_CLASS_CIRCLE?i=o.Z.projectPointToCircle(this,e,this.board):e.elementClass===l.Z.OBJECT_CLASS_CURVE?i=o.Z.projectPointToCurve(this,e,this.board)[0]:e.type===l.Z.OBJECT_TYPE_TURTLE?i=o.Z.projectPointToTurtle(this,e,this.board)[0]:e.type===l.Z.OBJECT_TYPE_POLYGON&&(i=new h.Z(l.Z.COORDS_BY_USER,o.Z.projectCoordsToPolygon(this.coords.usrCoords,e),this.board)),(r="screen"===n?i.distance(l.Z.COORDS_BY_SCREEN,this.coords):i.distance(l.Z.COORDS_BY_USER,this.coords))<a){this.type===l.Z.OBJECT_TYPE_GLIDER&&(e===this.slideObject||this.slideObject&&this.onPolygon&&this.slideObject.parentPolygon===e)||this.makeGlider(e);break}r>=d&&(e===this.slideObject||this.slideObject&&this.onPolygon&&this.slideObject.parentPolygon===e)&&this.popSlideObject()}return this}},setPositionDirectly:function(t,e){var i,s,o,n,d=this.coords;if(this.relativeCoords)return s=new h.Z(t,e,this.board),c.Z.evaluate(this.visProp.islabel)?(o=a.Z.subtract(s.scrCoords,d.scrCoords),this.relativeCoords.scrCoords[1]+=o[1],this.relativeCoords.scrCoords[2]+=o[2]):(o=a.Z.subtract(s.usrCoords,d.usrCoords),this.relativeCoords.usrCoords[1]+=o[1],this.relativeCoords.usrCoords[2]+=o[2]),this;for(this.coords.setCoordinates(t,e),this.handleSnapToGrid(),this.handleSnapToPoints(),this.handleAttractors(),i=this.transformations.length-1;i>=0;i--)t===l.Z.COORDS_BY_SCREEN?n=new h.Z(t,e,this.board).usrCoords:(2===e.length&&(e=[1].concat(e)),n=e),this.initialCoords.setCoordinates(l.Z.COORDS_BY_USER,r.Z.matVecMult(r.Z.inverse(this.transformations[i].matrix),n));return this.prepareUpdate().update(),this.board.isSuspendedUpdate&&this.type===l.Z.OBJECT_TYPE_GLIDER&&this.updateGlider(),this},setPositionByTransform:function(t,e){var i;return e=new h.Z(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===l.Z.OBJECT_TYPE_GLIDER&&(this.position=t,this.board.update()),this},makeGlider:function(t){var e,i,r,o=this.board.select(t),n=!1;if(o.type===l.Z.OBJECT_TYPE_POLYGON){for(e=Number.MAX_VALUE,i=0;i<o.borders.length;i++)(r=s.Z.Math.Geometry.distPointLine(this.coords.usrCoords,o.borders[i].stdform))<e&&(e=r,t=o.borders[i]);o=this.board.select(t),n=!0}if(!c.Z.exists(o))throw new Error("JSXGraph: slide object undefined.");if(o.type===l.Z.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.addParents(t),this.type=l.Z.OBJECT_TYPE_GLIDER,this.elType="glider",this.visProp.snapwidth=-1,this.slideObject.addChild(this),this.isDraggable=!0,this.onPolygon=n,this.generatePolynomial=function(){return this.slideObject.generatePolynomial(this)},this.updateGlider(),this.needsUpdateFromParent=!0,this.updateGliderFromParent(),this},popSlideObject:function(){this.slideObjects.length>0&&(this.slideObjects.pop(),this.slideObject.removeChild(this),0===this.slideObjects.length?(this.type=this._org_type,this.type===l.Z.OBJECT_TYPE_POINT?this.elType="point":this.elementClass===l.Z.OBJECT_CLASS_TEXT?this.elType="text":this.type===l.Z.OBJECT_TYPE_IMAGE?this.elType="image":this.type===l.Z.OBJECT_TYPE_FOREIGNOBJECT&&(this.elType="foreignobject"),this.slideObject=null):this.slideObject=this.slideObjects[this.slideObjects.length-1])},free:function(){var t,e;if(this.type!==l.Z.OBJECT_TYPE_GLIDER){if(this.transformations.length=0,delete this.updateConstraint,this.isConstrained=!1,this.isDraggable)return;this.isDraggable=!0,this.elementClass===l.Z.OBJECT_CLASS_POINT&&(this.type=l.Z.OBJECT_TYPE_POINT,this.elType="point"),this.XEval=function(){return this.coords.usrCoords[1]},this.YEval=function(){return this.coords.usrCoords[2]},this.ZEval=function(){return this.coords.usrCoords[0]},this.Xjc=null,this.Yjc=null}for(t in this.board.objects)this.board.objects.hasOwnProperty(t)&&(e=this.board.objects[t]).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.parents=[],this.slideObject=null,this.slideObjects=[],this.elementClass===l.Z.OBJECT_CLASS_POINT?(this.type=l.Z.OBJECT_TYPE_POINT,this.elType="point"):this.elementClass===l.Z.OBJECT_CLASS_TEXT?(this.type=this._org_type,this.elType="text"):this.elementClass===l.Z.OBJECT_CLASS_OTHER&&(this.type=this._org_type,this.elType="image")},addConstraint:function(t){var e,i,s=[],r=["X","Y"],o=function(t){return function(){return t}},n=function(t){return function(){return t.Value()}};for(this.elementClass===l.Z.OBJECT_CLASS_POINT&&(this.type=l.Z.OBJECT_TYPE_CAS),this.isDraggable=!1,e=0;e<t.length;e++)i=t[e],c.Z.isString(i)?(s[e]=this.board.jc.snippet(i,!0,null,!0),this.addParentsFromJCFunctions([s[e]]),2===t.length&&(this[r[e]+"jc"]=t[e])):c.Z.isFunction(i)?s[e]=i:c.Z.isNumber(i)?s[e]=o(i):c.Z.isObject(i)&&c.Z.isFunction(i.Value)&&(s[e]=n(i)),s[e].origin=i;return 1===t.length?this.updateConstraint=function(){var t=s[0]();return c.Z.isArray(t)?this.coords.setCoordinates(l.Z.COORDS_BY_USER,t):this.coords=t,this}:2===t.length?(this.XEval=s[0],this.YEval=s[1],this.addParents([s[0].origin,s[1].origin]),this.updateConstraint=function(){return this.coords.setCoordinates(l.Z.COORDS_BY_USER,[this.XEval(),this.YEval()]),this}):(this.ZEval=s[0],this.XEval=s[1],this.YEval=s[2],this.addParents([s[0].origin,s[1].origin,s[2].origin]),this.updateConstraint=function(){return this.coords.setCoordinates(l.Z.COORDS_BY_USER,[this.ZEval(),this.XEval(),this.YEval()]),this}),this.isConstrained=!0,this.prepareUpdate().update(),this.board.isSuspendedUpdate||(this.updateVisibility().updateRenderer(),this.hasLabel&&this.label.fullUpdate()),this},addAnchor:function(t,e){this.relativeCoords=e?new h.Z(l.Z.COORDS_BY_SCREEN,t.slice(0,2),this.board):new h.Z(l.Z.COORDS_BY_USER,t,this.board),this.element.addChild(this),e&&this.addParents(this.element),this.XEval=function(){var t,e,i;return c.Z.evaluate(this.visProp.islabel)?(i=c.Z.evaluate(this.visProp.offset),t=parseFloat(i[0]),e=this.element.getLabelAnchor(),new h.Z(l.Z.COORDS_BY_SCREEN,[t+this.relativeCoords.scrCoords[1]+e.scrCoords[1],0],this.board).usrCoords[1]):(e=this.element.getTextAnchor(),this.relativeCoords.usrCoords[1]+e.usrCoords[1])},this.YEval=function(){var t,e,i;return c.Z.evaluate(this.visProp.islabel)?(i=c.Z.evaluate(this.visProp.offset),t=-parseFloat(i[1]),e=this.element.getLabelAnchor(),new h.Z(l.Z.COORDS_BY_SCREEN,[0,t+this.relativeCoords.scrCoords[2]+e.scrCoords[2]],this.board).usrCoords[2]):(e=this.element.getTextAnchor(),this.relativeCoords.usrCoords[2]+e.usrCoords[2])},this.ZEval=c.Z.createFunction(1,this.board,""),this.updateConstraint=function(){this.coords.setCoordinates(l.Z.COORDS_BY_USER,[this.ZEval(),this.XEval(),this.YEval()])},this.isConstrained=!0,this.updateConstraint()},updateTransform:function(t){var e;if(0===this.transformations.length)return this;for(e=0;e<this.transformations.length;e++)this.transformations[e].update();return this},addTransform:function(t,e){var i,s=c.Z.isArray(e)?e:[e],r=s.length;for(0===this.transformations.length&&(this.baseElement=t),i=0;i<r;i++)this.transformations.push(s[i]);return this},startAnimation:function(t,e,i){var s=c.Z.evaluate(t),r=c.Z.evaluate(e),o=this;return i=c.Z.evaluate(i)||250,this.type!==l.Z.OBJECT_TYPE_GLIDER||c.Z.exists(this.intervalCode)||(this.intervalCode=window.setInterval((function(){o._anim(s,r)}),i),c.Z.exists(this.intervalCount)||(this.intervalCount=0)),this},stopAnimation:function(){return c.Z.exists(this.intervalCode)&&(window.clearInterval(this.intervalCode),delete this.intervalCode),this},moveAlong:function(t,e,i){i=i||{};var s,r,o,a,h,d=[],u=[],p=e/this.board.attr.animationdelay,f=function(e,i){return function(){return t[e][i]}};if(c.Z.isArray(t)){for(o=t.length,s=0;s<o;s++)c.Z.isPoint(t[s])?u[s]=t[s]:u[s]={elementClass:l.Z.OBJECT_CLASS_POINT,X:f(s,0),Y:f(s,1)};if(0===(e=e||0))return this.setPosition(l.Z.COORDS_BY_USER,[u[u.length-1].X(),u[u.length-1].Y()]),this.board.update(this);if(!c.Z.exists(i.interpolate)||i.interpolate)for(r=n.Z.Neville(u),s=0;s<p;s++)d[s]=[],d[s][0]=r[0]((p-s)/p*r[3]()),d[s][1]=r[1]((p-s)/p*r[3]());else{for(o=t.length-1,s=0;s<p;++s)h=s/p*o-(a=Math.floor(s/p*o)),d[s]=[],d[s][0]=(1-h)*u[a].X()+h*u[a+1].X(),d[s][1]=(1-h)*u[a].Y()+h*u[a+1].Y();d.push([u[o].X(),u[o].Y()]),d.reverse()}this.animationPath=d}else c.Z.isFunction(t)&&(this.animationPath=t,this.animationStart=(new Date).getTime());return this.animationCallback=i.callback,this.board.addAnimation(this),this},moveTo:function(t,e,i){i=i||{},t=new h.Z(l.Z.COORDS_BY_USER,t,this.board);var s,o=this.board.attr.animationdelay,n=Math.ceil(e/o),a=[],d=this.coords.usrCoords[1],u=this.coords.usrCoords[2],p=t.usrCoords[1]-d,f=t.usrCoords[2]-u,_=function(t){return i.effect&&"<>"===i.effect?Math.pow(Math.sin(t/n*Math.PI/2),2):t/n};if(!c.Z.exists(e)||0===e||Math.abs(t.usrCoords[0]-this.coords.usrCoords[0])>r.Z.eps)return this.setPosition(l.Z.COORDS_BY_USER,t.usrCoords),this.board.update(this);if(!c.Z.exists(i.callback)&&Math.abs(p)<r.Z.eps&&Math.abs(f)<r.Z.eps)return this;for(s=n;s>=0;s--)a[n-s]=[t.usrCoords[0],d+p*_(s),u+f*_(s)];return this.animationPath=a,this.animationCallback=i.callback,this.board.addAnimation(this),this},visit:function(t,e,i){t=new h.Z(l.Z.COORDS_BY_USER,t,this.board);var s,r,o,n=this.board.attr.animationdelay,a=[],d=this.coords.usrCoords[1],u=this.coords.usrCoords[2],p=t.usrCoords[1]-d,f=t.usrCoords[2]-u,_=function(t){var e=t<o/2?2*t/o:2*(o-t)/o;return i.effect&&"<>"===i.effect?Math.pow(Math.sin(e*Math.PI/2),2):e};for(c.Z.isNumber(i)?i={repeat:i}:(i=i||{},c.Z.exists(i.repeat)||(i.repeat=1)),o=Math.ceil(e/(n*i.repeat)),r=0;r<i.repeat;r++)for(s=o;s>=0;s--)a[r*(o+1)+o-s]=[t.usrCoords[0],d+p*_(s),u+f*_(s)];return this.animationPath=a,this.animationCallback=i.callback,this.board.addAnimation(this),this},_anim:function(t,e){var i,s,r,n,a,h,c,d,u;return this.intervalCount+=1,this.intervalCount>e&&(this.intervalCount=0),this.slideObject.elementClass===l.Z.OBJECT_CLASS_LINE?(c=this.slideObject.point1.coords.scrCoords,d=this.slideObject.point2.coords.scrCoords,i=Math.round((d[1]-c[1])*this.intervalCount/e),s=Math.round((d[2]-c[2])*this.intervalCount/e),t>0?n=this.slideObject.point1:(n=this.slideObject.point2,i*=-1,s*=-1),this.coords.setCoordinates(l.Z.COORDS_BY_SCREEN,[n.coords.scrCoords[1]+i,n.coords.scrCoords[2]+s])):this.slideObject.elementClass===l.Z.OBJECT_CLASS_CURVE?(a=t>0?Math.round(this.intervalCount/e*this.board.canvasWidth):Math.round((e-this.intervalCount)/e*this.board.canvasWidth),this.coords.setCoordinates(l.Z.COORDS_BY_SCREEN,[a,0]),u=o.Z.projectPointToCurve(this,this.slideObject,this.board),this.coords=u[0],this.position=u[1]):this.slideObject.elementClass===l.Z.OBJECT_CLASS_CIRCLE&&(r=2*Math.PI,r*=t<0?this.intervalCount/e:(e-this.intervalCount)/e,h=this.slideObject.Radius(),this.coords.setCoordinates(l.Z.COORDS_BY_USER,[this.slideObject.center.coords.usrCoords[1]+h*Math.cos(r),this.slideObject.center.coords.usrCoords[2]+h*Math.sin(r)])),this.board.update(this),this},getTextAnchor:function(){return this.coords},getLabelAnchor:function(){return this.coords},getParents:function(){var t=[this.Z(),this.X(),this.Y()];return 0!==this.parents.length&&(t=this.parents),this.type===l.Z.OBJECT_TYPE_GLIDER&&(t=[this.X(),this.Y(),this.slideObject.id]),t}}),s.Z.CoordsElement.create=function(t,e,i,s,r,o){var n,a,h=!1;for(a=0;a<i.length;a++)(c.Z.isFunction(i[a])||c.Z.isString(i[a]))&&(h=!0);if(h)(n=new t(e,[0,0],s,r,o)).addConstraint(i);else if(c.Z.isNumber(i[0])&&c.Z.isNumber(i[1]))n=new t(e,i,s,r,o),c.Z.exists(s.slideobject)?n.makeGlider(s.slideobject):n.baseElement=n,n.isDraggable=!0;else{if(!c.Z.isObject(i[0])||!c.Z.isTransformationOrArray(i[1]))return!1;(n=new t(e,[0,0],s,r,o)).addTransform(i[0],i[1]),n.isDraggable=!1}return n.handleSnapToGrid(),n.handleSnapToPoints(),n.handleAttractors(),n.addParents(i),n},e.Z=s.Z.CoordsElement},958:function(t,e,i){var s=i(765),r=i(351),o=i(705),n=i(275),a=i(309),h=i(766),l=i(88),c=i(327),d=i(109);s.Z.GeometryElement=function(t,e,i,s){var o,n,a;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.inherits=[],this._pos=-1,this.stdform=[1,0,0,0,1,1,0,0],this.methodMap={setLabel:"setLabel",label:"label",setName:"setName",getName:"getName",addTransform:"addTransform",setProperty:"setAttribute",setAttribute:"setAttribute",addChild:"addChild",animate:"animate",on:"on",off:"off",trigger:"trigger",addTicks:"addTicks",removeTicks:"removeTicks",removeAllTicks:"removeAllTicks"},this.quadraticform=[[1,0,0],[0,1,0],[0,0,1]],this.visProp={},this.visPropCalc={visible:!1},l.Z.eventify(this),this.mouseover=!1,this.lastDragTime=new Date,arguments.length>0){for(n in this.board=t,this.type=i,this._org_type=i,this.elementClass=s||r.Z.OBJECT_CLASS_OTHER,this.id=e.id,o=e.name,d.Z.exists(o)||(o=this.board.generateName(this)),""!==o&&(this.board.elementsByName[o]=this),this.name=o,this.needsRegularUpdate=e.needsregularupdate,d.Z.clearVisPropOld(this),a=this.resolveShortcuts(e))a.hasOwnProperty(n)&&this._set(n,a[n]);this.visProp.draft=a.draft&&a.draft.draft}},s.Z.extend(s.Z.GeometryElement.prototype,{addChild:function(t){var e,i;for(e in this.childElements[t.id]=t,this.addDescendants(t),t.ancestors[this.id]=this,this.descendants)if(this.descendants.hasOwnProperty(e))for(i in this.descendants[e].ancestors[this.id]=this,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;for(e in this.descendants[t.id]=t,t.childElements)t.childElements.hasOwnProperty(e)&&this.addDescendants(t.childElements[e]);return this},addParents:function(t){var e,i,s;for(i=(s=d.Z.isArray(t)?t:arguments).length,e=0;e<i;++e)d.Z.exists(s[e])&&(d.Z.isId(this.board,s[e])?this.parents.push(s[e]):d.Z.exists(s[e].id)&&this.parents.push(s[e].id));this.parents=d.Z.uniqueArray(this.parents)},setParents:function(t){this.parents=[],this.addParents(t)},addParentsFromJCFunctions:function(t){var e,i,s;for(e=0;e<t.length;e++)for(i in t[e].deps)s=t[e].deps[i],this.addParents(s),s.addChild(this);return this},removeChild:function(t){return delete this.childElements[t.id],this.removeDescendants(t),delete t.ancestors[this.id],this},removeDescendants:function(t){var e;for(e in delete this.descendants[t.id],t.childElements)t.childElements.hasOwnProperty(e)&&this.removeDescendants(t.childElements[e]);return this},countChildren:function(){var t,e,i=0;for(t in e=this.childElements)e.hasOwnProperty(t)&&t.indexOf("Label")<0&&i++;return i},getName:function(){return this.name},addTransform:function(t){return this},draggable:function(){return this.isDraggable&&!d.Z.evaluate(this.visProp.fixed)&&this.type!==r.Z.OBJECT_TYPE_GLIDER},setPosition:function(t,e){var i,s,o,n,a=[];if(!d.Z.exists(this.parents))return this;for(o=this.parents.length,s=0;s<o;++s)if(i=this.board.select(this.parents[s]),d.Z.isPoint(i)){if(!i.draggable())return this;a.push(i)}for(3===e.length&&(e=e.slice(1)),n=this.board.create("transform",e,{type:"translate"}),(o=a.length)>0?n.applyOnce(a):this.transformations.length>0&&this.transformations[this.transformations.length-1].isNumericMatrix?this.transformations[this.transformations.length-1].melt(n):this.addTransform(n),s=0;s<o;++s)a[s].type===r.Z.OBJECT_TYPE_GLIDER&&a[s].updateGlider();return this},setPositionDirectly:function(t,e,i){var s=new o.Z(t,e,this.board,!1),n=new o.Z(t,i,this.board,!1),h=a.Z.subtract(s.usrCoords,n.usrCoords);return this.setPosition(r.Z.COORDS_BY_USER,h),this},generatePolynomial:function(){return[]},animate:function(t,e,i){i=i||{};var s,r,o,n=this.board.attr.animationdelay,a=Math.ceil(e/n),h=this,l=function(t,e,i){var s,r,n,l,d;for(s=c.Z.rgb2hsv(t),n=((r=c.Z.rgb2hsv(e))[0]-s[0])/a,l=(r[1]-s[1])/a,d=(r[2]-s[2])/a,h.animationData[i]=[],o=0;o<a;o++)h.animationData[i][a-o-1]=c.Z.hsv2rgb(s[0]+(o+1)*n,s[1]+(o+1)*l,s[2]+(o+1)*d)},u=function(t,e,i,s){var r,n;if(t=parseFloat(t),e=parseFloat(e),!isNaN(t)&&!isNaN(e))for(n=(e-t)/a,h.animationData[i]=[],o=0;o<a;o++)r=t+(o+1)*n,h.animationData[i][a-o-1]=s?Math.floor(r):r};for(s in this.animationData={},t)if(t.hasOwnProperty(s))switch(r=s.toLowerCase()){case"strokecolor":case"fillcolor":l(this.visProp[r],t[s],r);break;case"size":if(!d.Z.isPoint(this))break;u(this.visProp[r],t[s],r,!0);break;case"strokeopacity":case"strokewidth":case"fillopacity":u(this.visProp[r],t[s],r,!1)}return this.animationCallback=i.callback,this.board.addAnimation(this),this},update:function(){return d.Z.evaluate(this.visProp.trace)&&this.cloneToBackground(),this},updateRenderer:function(){return this},fullUpdate:function(t){return this.prepareUpdate().update().updateVisibility(t).updateRenderer()},setDisplayRendNode:function(t){var e,i,s,r,o;if(void 0===t&&(t=this.visPropCalc.visible),t===this.visPropOld.visible)return this;for(this.board.renderer.display(this,t),i=this.inherits.length,s=0;s<i;s++)if(o=this.inherits[s],d.Z.isArray(o))for(r=o.length,e=0;e<r;e++)d.Z.exists(o[e])&&d.Z.exists(o[e].rendNode)&&"inherit"===d.Z.evaluate(o[e].visProp.visible)&&o[e].setDisplayRendNode(t);else d.Z.exists(o)&&d.Z.exists(o.rendNode)&&"inherit"===d.Z.evaluate(o.visProp.visible)&&o.setDisplayRendNode(t);return this.hasLabel&&d.Z.exists(this.label)&&d.Z.exists(this.label.rendNode)&&"inherit"===d.Z.evaluate(this.label.visProp.visible)&&this.label.setDisplayRendNode(t),this},hide:function(){return this.setAttribute({visible:!1}),this},hideElement:function(){return this.hide(),this},show:function(){return this.setAttribute({visible:!0}),this},showElement:function(){return this.show(),this},updateVisibility:function(t){var e,i,s,r,o,n;if(this.needsUpdate){for(void 0!==t?this.visPropCalc.visible=t:(n=d.Z.evaluate(this.visProp.visible),d.Z.exists(this.hiddenByParent)&&this.hiddenByParent&&(n=!1),"inherit"!==n&&(this.visPropCalc.visible=n)),i=this.inherits.length,s=0;s<i;s++)if(o=this.inherits[s],d.Z.isArray(o))for(r=o.length,e=0;e<r;e++)d.Z.exists(o[e])&&"inherit"===d.Z.evaluate(o[e].visProp.visible)&&o[e].prepareUpdate().updateVisibility(this.visPropCalc.visible);else d.Z.exists(o)&&"inherit"===d.Z.evaluate(o.visProp.visible)&&o.prepareUpdate().updateVisibility(this.visPropCalc.visible);d.Z.exists(this.label)&&d.Z.exists(this.label.visProp)&&d.Z.evaluate(this.label.visProp.visible)&&this.label.prepareUpdate().updateVisibility(this.visPropCalc.visible)}return this},_set:function(t,e){var i;if(t=t.toLocaleLowerCase(),this.visProp.hasOwnProperty(t)&&t.indexOf("color")>=0&&d.Z.isString(e)&&9===e.length&&"#"===e.charAt(0))e=c.Z.rgba2rgbo(e),this.visProp[t]=e[0],this.visProp[t.replace("color","opacity")]=e[1];else if(null===e||!d.Z.isObject(e)||d.Z.exists(e.id)||d.Z.exists(e.name))this.visProp[t]=e;else for(i in this.visProp[t]={},e)e.hasOwnProperty(i)&&(this.visProp[t][i.toLocaleLowerCase()]=e[i])},resolveShortcuts:function(t){var e,i,s,r=["traceattributes","traceAttributes"];for(e in h.Z.shortcuts)if(h.Z.shortcuts.hasOwnProperty(e)){if(d.Z.exists(t[e]))for(i=0;i<h.Z.shortcuts[e].length;i++)d.Z.exists(t[h.Z.shortcuts[e][i]])||(t[h.Z.shortcuts[e][i]]=t[e]);for(s=0;s<r.length;s++)d.Z.isObject(t[r[s]])&&(t[r[s]]=this.resolveShortcuts(t[r[s]]))}return t},setLabel:function(t){this.hasLabel||this.setAttribute({withlabel:!0}),this.setLabelText(t)},setLabelText:function(t){return d.Z.exists(this.label)&&(t=t.replace(/</g,"&lt;").replace(/>/g,"&gt;"),this.label.setText(t)),this},setName:function(t){t=t.replace(/</g,"&lt;").replace(/>/g,"&gt;"),"slider"!==this.elType&&this.setLabelText(t),this.setAttribute({name:t})},setProperty:function(){s.Z.deprecated("setProperty()","setAttribute()"),this.setAttribute.apply(this,arguments)},setAttribute:function(t){var e,i,o,n,a,h,l,u,p,f={};for(e=0;e<arguments.length;e++)h=arguments[e],d.Z.isString(h)?(u=h.split(":"),f[d.Z.trim(u[0])]=d.Z.trim(u[1])):d.Z.isArray(h)?f[h[0]]=h[1]:s.Z.extend(f,h);for(e in f=this.resolveShortcuts(f))if(f.hasOwnProperty(e)){if(n=e.replace(/\s+/g,"").toLowerCase(),a=f[e],d.Z.isObject(a)&&d.Z.exists(this.visProp[n])){if(this.visProp[n]=d.Z.merge(this.visProp[n],a),this.type===r.Z.OBJECT_TYPE_TICKS&&d.Z.exists(this.labels))for(o=this.labels.length,i=0;i<o;i++)this.labels[i].setAttribute(a);else if(d.Z.exists(this[n]))if(d.Z.isArray(this[n]))for(i=0;i<this[n].length;i++)this[n][i].setAttribute(a);else this[n].setAttribute(a);continue}switch(p=this.visProp[n],n){case"name":p=this.name,delete this.board.elementsByName[this.name],this.name=a,this.board.elementsByName[this.name]=this;break;case"needsregularupdate":this.needsRegularUpdate=!("false"===a||!1===a),this.board.renderer.setBuffering(this,this.needsRegularUpdate?"auto":"static");break;case"labelcolor":l=(a=c.Z.rgba2rgbo(a))[1],a=a[0],0===l&&d.Z.exists(this.label)&&this.hasLabel&&this.label.hideElement(),d.Z.exists(this.label)&&this.hasLabel&&(this.label.visProp.strokecolor=a,this.board.renderer.setObjectStrokeColor(this.label,a,l)),this.elementClass===r.Z.OBJECT_CLASS_TEXT&&(this.visProp.strokecolor=a,this.visProp.strokeopacity=l,this.board.renderer.setObjectStrokeColor(this,a,l));break;case"infoboxtext":d.Z.isString(a)?this.infoboxText=a:this.infoboxText=!1;break;case"visible":this.visProp.visible="false"!==a&&("true"===a||a),this.setDisplayRendNode(d.Z.evaluate(this.visProp.visible)),d.Z.evaluate(this.visProp.visible)&&d.Z.exists(this.updateSize)&&this.updateSize();break;case"face":d.Z.isPoint(this)&&(this.visProp.face=a,this.board.renderer.changePointStyle(this));break;case"trace":"false"===a||!1===a?(this.clearTrace(),this.visProp.trace=!1):this.visProp.trace="pause"!==a;break;case"gradient":this.visProp.gradient=a,this.board.renderer.setGradient(this);break;case"gradientsecondcolor":a=c.Z.rgba2rgbo(a),this.visProp.gradientsecondcolor=a[0],this.visProp.gradientsecondopacity=a[1],this.board.renderer.updateGradient(this);break;case"gradientsecondopacity":this.visProp.gradientsecondopacity=a,this.board.renderer.updateGradient(this);break;case"withlabel":this.visProp.withlabel=a,d.Z.evaluate(a)?(this.label||this.createLabel(),this.label.setAttribute({visible:"inherit"})):this.label&&this.hasLabel&&this.label.setAttribute({visible:!1}),this.hasLabel=a;break;case"radius":this.type!==r.Z.OBJECT_TYPE_ANGLE&&this.type!==r.Z.OBJECT_TYPE_SECTOR||this.setRadius(a);break;case"rotate":(this.elementClass===r.Z.OBJECT_CLASS_TEXT&&"internal"===d.Z.evaluate(this.visProp.display)||this.type===r.Z.OBJECT_TYPE_IMAGE)&&this.addRotation(a);break;case"generatelabelvalue":this.type===r.Z.OBJECT_TYPE_TICKS&&d.Z.isFunction(a)&&(this.generateLabelValue=a);break;case"onpolygon":this.type===r.Z.OBJECT_TYPE_GLIDER&&(this.onPolygon=!!a);break;case"disabled":d.Z.exists(this.rendNodeTag)&&(this.rendNodeTag.disabled=!!a);break;case"checked":d.Z.exists(this.rendNodeTag)&&(this.rendNodeCheckbox.checked=!!a);break;case"maxlength":d.Z.exists(this.rendNodeTag)&&(this.rendNodeTag.maxlength=!!a);break;case"layer":this.board.renderer.setLayer(this,d.Z.evaluate(a)),this._set(n,a);break;case"tabindex":d.Z.exists(this.rendNode)&&(this.rendNode.setAttribute("tabindex",a),this._set(n,a));break;default:d.Z.exists(this.visProp[n])&&(!s.Z.Validator[n]||s.Z.Validator[n]&&s.Z.Validator[n](a)||s.Z.Validator[n]&&d.Z.isFunction(a)&&s.Z.Validator[n](a()))&&(a=(!a.toLowerCase||"false"!==a.toLowerCase())&&a,this._set(n,a))}this.triggerEventHandlers(["attribute:"+n],[p,a,this])}return this.triggerEventHandlers(["attribute"],[f,this]),d.Z.evaluate(this.visProp.needsregularupdate)?this.board.update(this):this.board.fullUpdate(),this},getProperty:function(){s.Z.deprecated("getProperty()","getAttribute()"),this.getProperty.apply(this,arguments)},getAttribute:function(t){var e;switch(t=t.toLowerCase()){case"needsregularupdate":e=this.needsRegularUpdate;break;case"labelcolor":e=this.label.visProp.strokecolor;break;case"infoboxtext":e=this.infoboxText;break;case"withlabel":e=this.hasLabel;break;default:e=this.visProp[t]}return e},setDash:function(t){return this.setAttribute({dash:t}),this},prepareUpdate:function(){return this.needsUpdate=!0,this},remove:function(){return this.board.renderer.remove(this.rendNode),this.hasLabel&&this.board.renderer.remove(this.board.renderer.getElementById(this.label.id)),this},getTextAnchor:function(){return new o.Z(r.Z.COORDS_BY_USER,[0,0],this.board)},getLabelAnchor:function(){return new o.Z(r.Z.COORDS_BY_USER,[0,0],this.board)},setArrow:function(t,e){return this.visProp.firstarrow=t,this.visProp.lastarrow=e,e&&(this.type=r.Z.OBJECT_TYPE_VECTOR,this.elType="arrow"),this.prepareUpdate().update().updateVisibility().updateRenderer(),this},createGradient:function(){var t=d.Z.evaluate(this.visProp.gradient);"linear"!==t&&"radial"!==t||this.board.renderer.setGradient(this)},createLabel:function(){var t,e=this;return s.Z.elements.text?((t=d.Z.deepCopy(this.visProp.label,null)).id=this.id+"Label",t.isLabel=!0,t.anchor=this,t.priv=this.visProp.priv,this.visProp.withlabel&&(this.label=s.Z.elements.text(this.board,[0,0,function(){return d.Z.isFunction(e.name)?e.name():e.name}],t),this.label.needsUpdate=!0,this.label.dump=!1,this.label.fullUpdate(),this.hasLabel=!0)):s.Z.debug("JSXGraph: Can't create label: text element is not available. Make sure you include base/text"),this},highlight:function(t){return t=d.Z.def(t,!1),!d.Z.evaluate(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=n.Z.normalize(this.stdform),this},toJSON:function(){var t,e,i=['{"name":',this.name];for(e in i.push(', "id":'+this.id),t=[],this.visProp)this.visProp.hasOwnProperty(e)&&d.Z.exists(this.visProp[e])&&t.push('"'+e+'":'+this.visProp[e]);return i.push(', "visProp":{'+t.toString()+"}"),i.push("}"),i.join("")},addRotation:function(t){var e,i,s,o,n,a=this;return this.elementClass!==r.Z.OBJECT_CLASS_TEXT&&this.type!==r.Z.OBJECT_TYPE_IMAGE||0===t||(e=this.board.create("transform",[function(){return-a.X()},function(){return-a.Y()}],{type:"translate"}),i=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",[function(){return d.Z.evaluate(t)*Math.PI/180}],{type:"rotate"}),e.bindTo(this),s.bindTo(this),n.bindTo(this),o.bindTo(this),i.bindTo(this)),this},highlightStrokeColor:function(t){return s.Z.deprecated("highlightStrokeColor()","setAttribute()"),this.setAttribute({highlightStrokeColor:t}),this},strokeColor:function(t){return s.Z.deprecated("strokeColor()","setAttribute()"),this.setAttribute({strokeColor:t}),this},strokeWidth:function(t){return s.Z.deprecated("strokeWidth()","setAttribute()"),this.setAttribute({strokeWidth:t}),this},fillColor:function(t){return s.Z.deprecated("fillColor()","setAttribute()"),this.setAttribute({fillColor:t}),this},highlightFillColor:function(t){return s.Z.deprecated("highlightFillColor()","setAttribute()"),this.setAttribute({highlightFillColor:t}),this},labelColor:function(t){return s.Z.deprecated("labelColor()","setAttribute()"),this.setAttribute({labelColor:t}),this},dash:function(t){return s.Z.deprecated("dash()","setAttribute()"),this.setAttribute({dash:t}),this},visible:function(t){return s.Z.deprecated("visible()","setAttribute()"),this.setAttribute({visible:t}),this},shadow:function(t){return s.Z.deprecated("shadow()","setAttribute()"),this.setAttribute({shadow:t}),this},getType:function(){return this.elType},getParents:function(){return d.Z.isArray(this.parents)?this.parents:[]},snapToGrid:function(){return this},snapToPoints:function(){return this},getAttributes:function(){var t,e=d.Z.deepCopy(this.visProp),i=[],s=i.length;for(e.id=this.id,e.name=this.name,t=0;t<s;t++)delete e[i[t]];return e},hasPoint:function(t,e){return!1},addTicks:function(t){return""!==t.id&&d.Z.exists(t.id)||(t.id=this.id+"_ticks_"+(this.ticks.length+1)),this.board.renderer.drawTicks(t),this.ticks.push(t),t.id},removeAllTicks:function(){var t;if(d.Z.exists(this.ticks)){for(t=this.ticks.length-1;t>=0;t--)this.removeTicks(this.ticks[t]);this.ticks=[],this.board.update()}},removeTicks:function(t){var e,i;if(d.Z.exists(this.defaultTicks)&&this.defaultTicks===t&&(this.defaultTicks=null),d.Z.exists(this.ticks))for(e=this.ticks.length-1;e>=0;e--)if(this.ticks[e]===t){if(this.board.removeObject(this.ticks[e]),this.ticks[e].ticks)for(i=0;i<this.ticks[e].ticks.length;i++)d.Z.exists(this.ticks[e].labels[i])&&this.board.removeObject(this.ticks[e].labels[i]);delete this.ticks[e];break}},getSnapSizes:function(){var t,e,i;return t=d.Z.evaluate(this.visProp.snapsizex),e=d.Z.evaluate(this.visProp.snapsizey),t<=0&&this.board.defaultAxes&&this.board.defaultAxes.x.defaultTicks&&(t=(i=this.board.defaultAxes.x.defaultTicks).ticksDelta*(d.Z.evaluate(i.visProp.minorticks)+1)),e<=0&&this.board.defaultAxes&&this.board.defaultAxes.y.defaultTicks&&(e=(i=this.board.defaultAxes.y.defaultTicks).ticksDelta*(d.Z.evaluate(i.visProp.minorticks)+1)),[t,e]},handleSnapToGrid:function(t,e){var i,o,n,a,h,l,c,u,p,f,_,g=d.Z.evaluate(this.visProp.attracttogrid),m=d.Z.evaluate(this.visProp.attractorunit),b=d.Z.evaluate(this.visProp.attractordistance);return!d.Z.exists(this.coords)||d.Z.evaluate(this.visProp.fixed)||(d.Z.evaluate(this.visProp.snaptogrid)||g||!0===t)&&(i=this.coords.usrCoords[1],o=this.coords.usrCoords[2],f=(p=this.getSnapSizes())[0],_=p[1],f>0&&_>0&&(u=this.board.getBoundingBox(),n=Math.round(i/f)*f,a=Math.round(o/_)*_,h=new s.Z.Coords(r.Z.COORDS_BY_USER,[n,a],this.board),(!g||h.distance("screen"===m?r.Z.COORDS_BY_SCREEN:r.Z.COORDS_BY_USER,this.coords)<b)&&(i=n,o=a,e||(l=Math.min(u[0],u[2]),c=Math.max(u[0],u[2]),i<l&&i>l-f?i+=f:i>c&&i<c+f&&(i-=f),l=Math.min(u[1],u[3]),c=Math.max(u[1],u[3]),o<l&&o>l-_?o+=_:o>c&&o<c+_&&(o-=_)),this.coords.setCoordinates(r.Z.COORDS_BY_USER,[i,o])))),this},getBoundingBox:function(){var t,e,i,s,o,n=[1/0,1/0,-1/0,-1/0];if(this.type===r.Z.OBJECT_TYPE_POLYGON){if((e=this.vertices.length-1)<=0)return n;for(t=0;t<e;t++)i=this.vertices[t].X(),n[0]=i<n[0]?i:n[0],n[2]=i>n[2]?i:n[2],i=this.vertices[t].Y(),n[1]=i<n[1]?i:n[1],n[3]=i>n[3]?i:n[3]}else if(this.elementClass===r.Z.OBJECT_CLASS_CIRCLE)s=this.center.X(),o=this.center.Y(),n=[s-this.radius,o+this.radius,s+this.radius,o-this.radius];else if(this.elementClass===r.Z.OBJECT_CLASS_CURVE){if(0===(e=this.vertices.length))return n;for(t=0;t<e;t++)i=this.points[t].coords.usrCoords[1],n[0]=i<n[0]?i:n[0],n[2]=i>n[2]?i:n[2],i=this.points[t].coords.usrCoords[1],n[1]=i<n[1]?i:n[1],n[3]=i>n[3]?i:n[3]}return n},addEvent:s.Z.shortcut(s.Z.GeometryElement.prototype,"on"),removeEvent:s.Z.shortcut(s.Z.GeometryElement.prototype,"off"),formatNumberLocale:function(t,e){var i,s,r,o={},n={maximumfractiondigits:"maximumFractionDigits",minimumfractiondigits:"minimumFractionDigits",compactdisplay:"compactDisplay",currencydisplay:"currencyDisplay",currencysign:"currencySign",localematcher:"localeMatcher",numberingsystem:"numberingSystem",signdisplay:"signDisplay",unitdisplay:"unitDisplay",usegrouping:"useGrouping",roundingmode:"roundingMode",roundingpriority:"roundingPriority",roundingincrement:"roundingIncrement",trailingzerodisplay:"trailingZeroDisplay",minimumintegerdigits:"minimumIntegerDigits",minimumsignificantdigits:"minimumSignificantDigits",maximumsignificantdigits:"maximumSignificantDigits"};if(d.Z.exists(Intl)&&this.useLocale()){for(r in i=d.Z.evaluate(this.visProp.intl.locale)||d.Z.evaluate(this.board.attr.intl.locale),s=d.Z.evaluate(this.visProp.intl.options)||{})s.hasOwnProperty(r)&&(n.hasOwnProperty(r)?o[n[r]]=d.Z.evaluate(s[r]):o[r]=d.Z.evaluate(s[r]));return r="maximumfractiondigits",d.Z.exists(s[r])||(o[n[r]]=e),Intl.NumberFormat(i,o).format(t)}return t},useLocale:function(){var t;return!(!d.Z.exists(this.visProp.intl)||!d.Z.exists(this.visProp.intl.enabled))&&(!0===(t=d.Z.evaluate(this.visProp.intl.enabled))||"inherit"===t&&!0===d.Z.evaluate(this.board.attr.intl.enabled))},__evt__over:function(t){},__evt__mouseover:function(t){},__evt__out:function(t){},__evt__mouseout:function(t){},__evt__move:function(t){},__evt__mousemove:function(t){},__evt__drag:function(t){},__evt__mousedrag:function(t){},__evt__pendrag:function(t){},__evt__touchdrag:function(t){},__evt__keydrag:function(t){},__evt__down:function(t){},__evt__mousedown:function(t){},__evt__pendown:function(t){},__evt__touchdown:function(t){},__evt__up:function(t){},__evt__mouseup:function(t){},__evt__penup:function(t){},__evt__touchup:function(t){},__evt__attribute:function(t,e){},__evt__attribute_:function(t,e,i){},__evt:function(){}}),e.Z=s.Z.GeometryElement},573:function(t,e,i){var s=i(765),r=i(351),o=i(958),n=i(632),a=i(503),h=i(109),l=i(275),c=i(218),d=function(){this._val=parseFloat(this.rendNodeRange.value),this.rendNodeOut.value=this.rendNodeRange.value,this.board.update()};s.Z.Text=function(t,e,i,s){var o;this.constructor(t,i,r.Z.OBJECT_TYPE_TEXT,r.Z.OBJECT_CLASS_TEXT),this.element=this.board.select(i.anchor),this.coordsConstructor(e,h.Z.evaluate(this.visProp.islabel)),this.content="",this.plaintext="",this.plaintextOld=null,this.orgText="",this.needsSizeUpdate=!1,this.hiddenByParent=!1,this.size=[1,1],this.id=this.board.setId(this,"T"),this.board.renderer.drawText(this),this.board.finalizeAdding(this),o=this.visProp.visible,this.visProp.visible=!0,this.setText(s),this.visProp.visible=o,h.Z.isString(this.content)&&this.notifyParents(this.content),this.elType="text",this.methodMap=h.Z.deepCopy(this.methodMap,{setText:"setTextJessieCode"})},s.Z.Text.prototype=new o.Z,h.Z.copyPrototypeMethods(s.Z.Text,c.Z,"coordsConstructor"),s.Z.extend(s.Z.Text.prototype,{hasPoint:function(t,e){var i,s,r,o,n,a,c,d;return h.Z.isObject(h.Z.evaluate(this.visProp.precision))?(c=this.board._inputDevice,d=h.Z.evaluate(this.visProp.precision[c])):d=this.board.options.precision.hasPoint,this.transformations.length>0&&(t=(i=l.Z.matVecMult(l.Z.inverse(this.board.renderer.joinTransforms(this,this.transformations)),[1,t,e]))[1],e=i[2]),s=(i="right"===(n=this.getAnchorX())?this.coords.scrCoords[1]-this.size[0]:"middle"===n?this.coords.scrCoords[1]-.5*this.size[0]:this.coords.scrCoords[1])+this.size[0],r=(o="top"===(a=this.getAnchorY())?this.coords.scrCoords[2]+this.size[1]:"middle"===a?this.coords.scrCoords[2]+.5*this.size[1]:this.coords.scrCoords[2])-this.size[1],"all"===h.Z.evaluate(this.visProp.dragarea)?t>=i-d&&t<s+d&&e>=r-d&&e<=o+d:e>=r-d&&e<=o+d&&(t>=i-d&&t<=i+2*d||t>=s-2*d&&t<=s+d)},_createFctUpdateText:function(t){var e,i,s,r,o,n,a=h.Z.evaluate(this.visProp.parse),l=h.Z.evaluate(this.visProp.usemathjax),c=h.Z.evaluate(this.visProp.usekatex),d=!1;if(this.orgText=t,h.Z.isFunction(t))this.updateText=function(){r=t().toString(),this.plaintext=!a||l||c?r:this.replaceSub(this.replaceSup(this.convertGeonextAndSketchometry2CSS(r,!1)))};else if(h.Z.isNumber(t)?(s=h.Z.evaluate(this.visProp.digits),this.useLocale()?this.content=this.formatNumberLocale(t,s):this.content=h.Z.toFixed(t,s)):h.Z.isString(t)&&a?(h.Z.evaluate(this.visProp.useasciimathml)?this.content="'`"+t+"`'":l||c?(this.content=this.valueTagToJessieCode(t),h.Z.isArray(this.content)||(this.content=this.content.replace(/\\/g,"\\\\"))):this.content=this.poorMansTeX(this.valueTagToJessieCode(t)),d=!0):this.content=t,d){if(h.Z.isArray(this.content)){for(n=this,o=0;o<this.content.length;o++)if('"'!==this.content[o][0])for(i in 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h.Z.evaluate(this.visProp.autoposition)&&this.setAutoPosition().updateConstraint(),this.updateRendererGeneric("updateText")},expandShortMath:function(t){return t.replace(/([)0-9.])\s*([(a-zA-Z_])/g,"$1*$2")},generateTerm:function(t,e,i){var s,r,o,a,l='""';if(o=(t=(t=(t=(t=(t=(t=(t=(t=(t=(t=(t=t||"").replace(/\r/g,"")).replace(/\n/g,"")).replace(/"/g,"'")).replace(/'/g,"\\'")).replace(/&amp;arc;/g,"&ang;")).replace(/<arc\s*\/>/g,"&ang;")).replace(/&lt;arc\s*\/&gt;/g,"&ang;")).replace(/&lt;sqrt\s*\/&gt;/g,"&radic;")).replace(/&lt;value&gt;/g,"<value>")).replace(/&lt;\/value&gt;/g,"</value>")).indexOf("<value>"),a=t.indexOf("</value>"),o>=0)for(;o>=0;)l+=' + 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t.replace(/"/g,"%22").replace(/'/g,"%27")},unescapeTicks:function(t){return t.replace(/%22/g,'"').replace(/%27/g,"'")},convertGeonext2CSS:function(t){return h.Z.isString(t)&&(t=(t=(t=(t=t.replace(/(<|&lt;)overline(>|&gt;)/g,"<span style=text-decoration:overline;>")).replace(/(<|&lt;)\/overline(>|&gt;)/g,"</span>")).replace(/(<|&lt;)arrow(>|&gt;)/g,"<span style=text-decoration:overline;>")).replace(/(<|&lt;)\/arrow(>|&gt;)/g,"</span>")),t},convertSketchometry2CSS:function(t,e){var i='<span class="sketcho sketcho-inherit sketcho-',s='"></span>';return h.Z.isString(t)&&(e&&(i=this.escapeTicks(i),s=this.escapeTicks(s)),t=(t=t.replace(/(<|&lt;)sketchofont(>|&gt;)/g,i)).replace(/(<|&lt;)\/sketchofont(>|&gt;)/g,s)),t},convertGeonextAndSketchometry2CSS:function(t,e){return t=this.convertGeonext2CSS(t),t=this.convertSketchometry2CSS(t,e)},notifyParents:function(t){var 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i.deprecated("JXG.getRef()","Board.select()"),t.select(e)},getReference:function(t,e){return i.deprecated("JXG.getReference()","Board.select()"),t.select(e)},getBoardByContainerId:function(t){var e;for(e in JXG.boards)if(JXG.boards.hasOwnProperty(e)&&JXG.boards[e].container===t)return JXG.boards[e];return null},deprecated:function(t,e){var s=t+" is deprecated.";e&&(s+=" Please use "+e+" instead."),i.warn(s)},warn:function(t){"object"==typeof window&&window.console&&console.warn?console.warn("WARNING:",t):"object"==typeof document&&document.getElementById("warning")&&(document.getElementById("debug").innerHTML+="WARNING: "+t+"<br />")},debugInt:function(t){var e,i;for(e=0;e<arguments.length;e++)i=arguments[e],"object"==typeof window&&window.console&&console.log?console.log(i):"object"==typeof document&&document.getElementById("debug")&&(document.getElementById("debug").innerHTML+=i+"<br/>")},debugWST:function(t){var e=new 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this._genericParse(t,"manipulate",e,i)},getAST:function(t,e,i){return this._genericParse(t,"getAst",e,i)},snippet:function(t,e,i,s){var r;return e=_utils_type__WEBPACK_IMPORTED_MODULE_7__.Z.def(e,!0),i=_utils_type__WEBPACK_IMPORTED_MODULE_7__.Z.def(i,""),s=_utils_type__WEBPACK_IMPORTED_MODULE_7__.Z.def(s,!1),r=(e?" function ("+i+") { return ":"")+t+(e?"; }":"")+";",this.parse(r,s,!0)},replaceIDs:function(t){var e,i;if(t.replaced&&(i=this.board.objects[t.children[1][0].value],_utils_type__WEBPACK_IMPORTED_MODULE_7__.Z.exists(i)&&""!==i.name&&(t.type="node_var",t.value=i.name,t.children.length=0,delete t.replaced)),_utils_type__WEBPACK_IMPORTED_MODULE_7__.Z.isArray(t))for(e=0;e<t.length;e++)t[e]=this.replaceIDs(t[e]);if(t.children)for(e=t.children.length;e>0;e--)_utils_type__WEBPACK_IMPORTED_MODULE_7__.Z.exists(t.children[e-1])&&(t.children[e-1]=this.replaceIDs(t.children[e-1]));return t},replaceNames:function(t){var 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s,r,o,n;if(_utils_type__WEBPACK_IMPORTED_MODULE_7__.Z.isArray(t))for(n=t.length,s=0;s<n;s++)this.collectDependencies(t[s],e,i);else if(r=t.value,"node_var"===t.type&&e.indexOf(r)<0&&(o=this.getvar(r))&&o.visProp&&o.type&&o.elementClass&&o.id&&o.type===_base_constants__WEBPACK_IMPORTED_MODULE_1__.Z.OBJECT_TYPE_SLIDER&&(i[o.id]=o),"node_op"===t.type&&"op_execfun"===t.value&&t.children.length>1&&"$"===t.children[0].value&&t.children[1].length>0&&(i[o=t.children[1][0].value]=this.board.objects[o]),t.children)for(s=t.children.length;s>0;s--)_utils_type__WEBPACK_IMPORTED_MODULE_7__.Z.exists(t.children[s-1])&&this.collectDependencies(t.children[s-1],e,i)},resolveProperty:function(t,e,i){return 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if("node_op"===t.type&&"op_property"===t.value)i=[this.compile(t.children[0],e),"'"+t.children[1]+"'"];else{if("node_op"!==t.type||"op_extvalue"!==t.value)throw new Error("Syntax error: Invalid left-hand side of assignment.");i=[this.compile(t.children[0],e),"node_const"===t.children[1].type?t.children[1].value:this.compile(t.children[1],e)]}return i},execute:function(t){var e,i,s,r,o,n,a,h,l,c,d=[];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.what,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||_utils_type__WEBPACK_IMPORTED_MODULE_7__.Z.isArray(i.o)&&"number"==typeof 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this.execute(t.children[0]);this._error("Unexpected return.");break;case"op_map":t.children[1].isMath||"node_var"===t.children[1].type||this._error("execute: In a map only function calls and mathematical expressions are allowed."),(h=this.defineFunction(t)).isMap=!0,e=h;break;case"op_function":(h=this.defineFunction(t)).isMap=!1,e=h;break;case"op_execfun":if(this.dpstack.push([]),this.pscope++,n=t.children[1],_utils_type__WEBPACK_IMPORTED_MODULE_7__.Z.exists(t.children[2]))if(t.children[3])for(a=t.children[2],l={},s=0;s<a.length;s++)l=_utils_type__WEBPACK_IMPORTED_MODULE_7__.Z.deepCopy(l,this.execute(a[s]),!0);else l=this.execute(t.children[2]);for(t.children[0]._isFunctionName=!0,h=this.execute(t.children[0]),delete t.children[0]._isFunctionName,c=h&&h.sc?h.sc:this,!h.creator&&_utils_type__WEBPACK_IMPORTED_MODULE_7__.Z.exists(t.children[2])&&this._error("Unexpected value. Only element creators are allowed to have a value after the function call."),s=0;s<n.length;s++)_utils_type__WEBPACK_IMPORTED_MODULE_7__.Z.exists(h.scope)&&_utils_type__WEBPACK_IMPORTED_MODULE_7__.Z.exists(h.scope.argtypes)&&"function"===h.scope.argtypes[s]?(n[s]._isFunctionName=!0,d[s]=this.execute(n[s]),delete n[s]._isFunctionName):d[s]=this.execute(n[s]),this.dpstack[this.pscope].push({line:t.children[1][s].line,col:t.children[1][s].ecol});if("function"!=typeof h||h.creator)if("function"==typeof h&&h.creator){r=this.line;try{for((e=h(d,l)).jcLineStart=r,e.jcLineEnd=t.eline,s=r;s<=t.line;s++)this.lineToElement[s]=e;e.debugParents=this.dpstack[this.pscope]}catch(t){this._error(t.toString())}}else this._error("Function '"+h+"' is undefined.");else e=h.apply(c,d);this.dpstack.pop(),this.pscope--;break;case"op_property":r=this.execute(t.children[0]),i=t.children[1],e=this.resolveProperty(r,i,!1),_utils_type__WEBPACK_IMPORTED_MODULE_7__.Z.exists(e)&&["number","string","boolean"].indexOf(typeof e)<0&&(e.sc=r);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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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,e){var i,r;return s.Z.exists(e)?(i=t,r=e):(i=t.usrCoords[1],r=t.usrCoords[2]),this._query(i,r)},hasPoint:function(t,e,i){var s,r,o;if(this.contains(t,e)){switch(o=this.points.length,this.config.pointType){case"coords":for(r=0;r<o;r++)if(h.Z.distance([t,e],this.points[r].usrCoords.slice(1),2)<i)return!0;break;case"object":for(r=0;r<o;r++)if(h.Z.distance([t,e],[this.points[r].x,this.points[r].y],2)<i)return!0}if(null===this.northWest)return!1;if(s=this.northWest.hasPoint(t,e,i))return s;if(s=this.northEast.hasPoint(t,e,i))return s;if(s=this.southEast.hasPoint(t,e,i))return s;if(s=this.southWest.hasPoint(t,e,i))return s}return!1},getAllPoints:function(){var t=[];return 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JXG.Math.BoxQuadtree(this.depth,this.capacity,[this.cx,o,n,this.cy])),this.northEast.insert(i)),s.length>0&&(null===this.southEast&&(this.southEast=new JXG.Math.BoxQuadtree(this.depth,this.capacity,[this.cx,this.cy,n,a])),this.southEast.insert(s)),this},find:function(t){var e,i,s,r=[];for(i=this.items.length,e=0;e<i;e++)s=this.items[e],t[2]>=s.xlb&&t[0]<=s.xub&&t[3]<=s.yub&&t[1]>=s.ylb&&r.push(this.items[e]);return null!==this.northWest&&t[0]<=this.cx&t[1]>=this.cy&&(r=r.concat(this.northWest.find(t))),null!==this.southWest&&t[0]<=this.cx&t[3]<=this.cy&&(r=r.concat(this.southWest.find(t))),null!==this.northEast&&t[2]>=this.cx&t[1]>=this.cy&&(r=r.concat(this.northEast.find(t))),null!==this.southEast&&t[2]>=this.cx&t[3]<=this.cy&&(r=r.concat(this.southEast.find(t))),r},analyzeTree:function(){var t,e={number_items:this.items.length,depth:1};return null!==this.northWest&&(t=this.northWest.analyzeTree(),e.number_items+=t.number_items,e.depth=Math.max(e.depth,1+t.depth)),null!==this.southWest&&(t=this.southWest.analyzeTree(),e.number_items+=t.number_items,e.depth=Math.max(e.depth,1+t.depth)),null!==this.northEast&&(t=this.northEast.analyzeTree(),e.number_items+=t.number_items,e.depth=Math.max(e.depth,1+t.depth)),null!==this.southEast&&(t=this.southEast.analyzeTree(),e.number_items+=t.number_items,e.depth=Math.max(e.depth,1+t.depth)),e},plot:function(){var t,e=[],i=[];return e.push(this.bbox[0]),i.push(this.bbox[3]),e.push(this.bbox[2]),i.push(this.bbox[3]),e.push(this.bbox[2]),i.push(this.bbox[1]),e.push(this.bbox[0]),i.push(this.bbox[1]),e.push(this.bbox[0]),i.push(this.bbox[3]),e.push(NaN),i.push(NaN),null!==this.northWest&&(t=this.northWest.plot(),e=e.concat(t[0]),i=i.concat(t[1])),null!==this.northEast&&(t=this.northEast.plot(),e=e.concat(t[0]),i=i.concat(t[1])),null!==this.southEast&&(t=this.southEast.plot(),e=e.concat(t[0]),i=i.concat(t[1])),null!==this.southWest&&(t=this.southWest.plot(),e=e.concat(t[0]),i=i.concat(t[1])),[e,i]}});var c=o.Z.BoxQuadtree,d=__webpack_require__(336);t.Z.Math.Nlp={arr:function(t){return new Float64Array(t)},arr2:function(t,e){for(var i=0,s=new Array(t);i<t;)s[i]=this.arr(e),i++;return s},arraycopy:function(t,e,i,s,r){for(var o=0;o<r;)i[o+s]=t[o+e],o++},lastNumberOfEvaluations:0,GetLastNumberOfEvaluations:function(){return this.lastNumberOfEvaluations},Normal:0,MaxIterationsReached:1,DivergingRoundingErrors:2,FindMinimum:function(t,e,i,s,r,o,n,a,h){var l,c,d=i+2,u=this.arr(e+1),p=this;return this.lastNumberOfEvaluations=0,h&&console.log("Experimental feature 'testForRoundingErrors' is activated."),u[0]=0,this.arraycopy(s,0,u,1,e),c=function(e,i,s,r){var o,n,a=p.arr(e);return p.lastNumberOfEvaluations=p.lastNumberOfEvaluations+1,p.arraycopy(s,1,a,0,e),o=p.arr(i),n=t(e,i,a,o),p.arraycopy(o,0,r,1,i),n},l=this.cobylb(c,e,i,d,u,r,o,n,a,h),this.arraycopy(u,1,s,0,e),l},cobylb:function(t,e,i,s,r,o,n,a,h,l){var c,d,u,p,f,_,g,m,b,v,Z,C,y,P,E,O,x,S,w,M,T,N,A,D,L,R,k,B,I,Y=-1,j=0,X=0,U=e+1,F=i+1,J=o,z=0,G=!1,W=!1,H=0,V=0,$=0,K=this.arr(1+s),q=this.arr2(1+e,1+U),Q=this.arr2(1+e,1+e),tt=this.arr2(1+s,1+U),et=this.arr2(1+e,1+F),it=this.arr(1+e),st=this.arr(1+e),rt=this.arr(1+e),ot=this.arr(1+e),nt=this.arr(1+e);for(a>=2&&console.log("The initial value of RHO is "+J+" and PARMU is set to zero."),m=0,_=1/J,d=1;d<=e;++d)q[d][U]=r[d],q[d][d]=J,Q[d][d]=_;b=U,v=!1;t:for(;;){if(m>=h&&m>0){Y=this.MaxIterationsReached;break t}for(++m,j=t(e,i,r,K),X=0,p=1;p<=i;++p)X=Math.max(X,-K[p]);if(m!==a-1&&3!==a||this.PrintIterationResult(m,j,X,r,e,a),K[F]=j,K[s]=X,Z=!0,!v){for(Z=!1,d=1;d<=s;++d)tt[d][b]=K[d];if(m<=U){if(b<=e)if(tt[F][U]<=j)r[b]=q[b][U];else{for(q[b][U]=r[b],p=1;p<=s;++p)tt[p][b]=tt[p][U],tt[p][U]=K[p];for(p=1;p<=b;++p){for(q[b][p]=-J,_=0,d=p;d<=b;++d)_-=Q[d][p];Q[b][p]=_}}if(m<=e){r[b=m]+=J;continue t}}v=!0}e:for(;;){i:do{if(!Z){for(C=tt[F][U]+z*tt[s][U],y=U,u=1;u<=e;++u)(_=tt[F][u]+z*tt[s][u])<C?(y=u,C=_):_===C&&0===z&&tt[s][u]<tt[s][y]&&(y=u);if(y<=e){for(d=1;d<=s;++d)_=tt[d][U],tt[d][U]=tt[d][y],tt[d][y]=_;for(d=1;d<=e;++d){for(_=q[d][y],q[d][y]=0,q[d][U]+=_,g=0,p=1;p<=e;++p)q[d][p]-=_,g-=Q[p][d];Q[y][d]=g}}if(P=0,l)for(d=1;d<=e;++d)for(u=1;u<=e;++u)_=this.DOT_PRODUCT_ROW_COL(Q,d,q,u,1,e)-(d===u?1:0),P=Math.max(P,Math.abs(_));if(P>.1){Y=this.DivergingRoundingErrors;break t}for(p=1;p<=F;++p){for(K[p]=-tt[p][U],u=1;u<=e;++u)nt[u]=tt[p][u]+K[p];for(d=1;d<=e;++d)et[d][p]=(p===F?-1:1)*this.DOT_PRODUCT_ROW_COL(nt,-1,Q,d,1,e)}for(G=!0,H=.25*J,E=2.1*J,u=1;u<=e;++u){for(O=0,x=0,p=1;p<=e;++p)O+=Q[u][p]*Q[u][p],x+=q[p][u]*q[p][u];it[u]=1/Math.sqrt(O),st[u]=Math.sqrt(x),(it[u]<H||st[u]>E)&&(G=!1)}if(!v&&!G){for(b=0,_=E,u=1;u<=e;++u)st[u]>_&&(b=u,_=st[u]);if(0===b)for(u=1;u<=e;++u)it[u]<_&&(b=u,_=it[u]);for(_=.5*J*it[b],p=1;p<=e;++p)ot[p]=_*Q[b][p];for(S=0,w=0,c=0,p=1;p<=F;++p)c=this.DOT_PRODUCT_ROW_COL(ot,-1,et,p,1,e),p<F&&(_=tt[p][U],S=Math.max(S,-c-_),w=Math.max(w,c-_));for(M=z*(S-w)>2*c?-1:1,_=0,d=1;d<=e;++d)ot[d]=M*ot[d],q[d][b]=ot[d],_+=Q[b][d]*ot[d];for(p=1;p<=e;++p)Q[b][p]/=_;for(u=1;u<=e;++u){if(u!==b)for(_=this.DOT_PRODUCT_ROW_COL(Q,u,ot,-1,1,e),p=1;p<=e;++p)Q[u][p]-=_*Q[b][p];r[u]=q[u][U]+ot[u]}continue t}if(!(W=this.trstlp(e,i,et,K,J,ot))){for(_=0,p=1;p<=e;++p)_+=ot[p]*ot[p];if(_<.25*J*J){v=!0;break i}}for(c=0,T=0,K[F]=0,p=1;p<=F;++p)c=K[p]-this.DOT_PRODUCT_ROW_COL(ot,-1,et,p,1,e),p<F&&(T=Math.max(T,c));if(z<1.5*(N=(V=tt[s][U]-T)>0?c/V:0))for(z=2*N,a>=2&&console.log("Increase in PARMU to "+z),A=tt[F][U]+z*tt[s][U],u=1;u<=e;++u)if((_=tt[F][u]+z*tt[s][u])<A||_===A&&0===z&&tt[s][u]<tt[s][U])continue e;for($=z*V-c,p=1;p<=e;++p)r[p]=q[p][U]+ot[p];v=!0;continue t}for(Z=!1,D=tt[F][U]+z*tt[s][U]-(j+z*X),0===z&&j===tt[F][U]&&($=V,D=tt[s][U]-X),L=D<=0?1:0,b=0,u=1;u<=e;++u)(_=Math.abs(this.DOT_PRODUCT_ROW_COL(Q,u,ot,-1,1,e)))>L&&(b=u,L=_),rt[u]=_*it[u];for(R=1.1*J,f=0,u=1;u<=e;++u)if(rt[u]>=H||rt[u]>=it[u]){if(_=st[u],D>0){for(_=0,p=1;p<=e;++p)_+=Math.pow(ot[p]-q[p][u],2);_=Math.sqrt(_)}_>R&&(f=u,R=_)}if(f>0&&(b=f),0!==b){for(_=0,d=1;d<=e;++d)q[d][b]=ot[d],_+=Q[b][d]*ot[d];for(p=1;p<=e;++p)Q[b][p]/=_;for(u=1;u<=e;++u)if(u!==b)for(_=this.DOT_PRODUCT_ROW_COL(Q,u,ot,-1,1,e),p=1;p<=e;++p)Q[u][p]-=_*Q[b][p];for(p=1;p<=s;++p)tt[p][b]=K[p];if(D>0&&D>=.1*$)continue e}}while(0);if(G){if(J<=n){Y=this.Normal;break t}if(k=0,B=0,(J*=.5)<=1.5*n&&(J=n),z>0){for(I=0,p=1;p<=F;++p){for(B=k=tt[p][U],d=1;d<=e;++d)k=Math.min(k,tt[p][d]),B=Math.max(B,tt[p][d]);p<=i&&k<.5*B&&(_=Math.max(B,0)-k,I=I<=0?_:Math.min(I,_))}0===I?z=0:B-k<z*I&&(z=(B-k)/I)}a>=2&&console.log("Reduction in RHO to "+J+"  and PARMU = "+z),2===a&&this.PrintIterationResult(m,tt[F][U],tt[s][U],this.COL(q,U),e,a)}else v=!1}}switch(Y){case this.Normal:if(a>=1&&console.log("%nNormal return from subroutine COBYLA%n"),W)return a>=1&&this.PrintIterationResult(m,j,X,r,e,a),Y;break;case this.MaxIterationsReached:a>=1&&console.log("%nReturn from subroutine COBYLA because the MAXFUN limit has been reached.%n");break;case this.DivergingRoundingErrors:a>=1&&console.log("%nReturn from subroutine COBYLA because rounding errors are becoming damaging.%n")}for(p=1;p<=e;++p)r[p]=q[p][U];return j=tt[F][U],X=tt[s][U],a>=1&&this.PrintIterationResult(m,j,X,r,e,a),Y},trstlp:function(t,e,i,s,r,n){var 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t.rtype=this.MP_EXPLICIT,e.ltype=this.MP_EXPLICIT,m=Math.abs(e.left_tension()),y=Math.abs(t.right_tension()),Z=this.UNITY/(3*y),t.rx=t.x+s[0]*Z,t.ry=t.y+r[0]*Z,Z=this.UNITY/(3*m),e.lx=e.x-s[0]*Z,void(e.ly=e.y-r[0]*Z);E=f.right_curl(),m=Math.abs(v.left_tension()),y=Math.abs(f.right_tension()),g[0]=this.mp_curl_ratio(E,y,m),l[0]=-n[1]*g[0],_[0]=0}else f.rtype===this.MP_OPEN&&(g[0]=0,l[0]=0,_[0]=this.FRACTION_ONE);else 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i,s,r,o,n=[],a=0,h=[],l=new Array(32768),c=0,d=!1,u=e.length,p=0,f=1,C=new Array(288),y=new Array(32),P=0,E=null,O=0,x=new Array(17),S=[];function w(){return p<u?e[p++]:-1}function M(){f=1}function T(){var t;try{t=1&f,0===(f>>=1)&&(t=1&(f=w()),f=f>>1|128)}catch(t){throw console.log("Probably problems on iOS7 with >>"),t}return t}function N(t){var e=0,i=t;try{for(;i--;)e=e<<1|T();t&&(e=_[e]>>8-t)}catch(t){throw console.log("Probably problems on iOS7 with >>"),t}return e}function A(){c=0}function D(t){l[c++]=t,n.push(String.fromCharCode(t)),32768===c&&(c=0)}function L(){this.b0=0,this.b1=0,this.jump=null,this.jumppos=-1}function R(){for(;;){if(x[O]>=o)return-1;if(r[x[O]]===O)return x[O]++;x[O]++}}function k(){var t,e=E[P];if(17===O)return-1;if(P++,O++,(t=R())>=0)e.b0=t;else if(e.b0=32768,k())return-1;if((t=R())>=0)e.b1=t,e.jump=null;else if(e.b1=32768,e.jump=E[P],e.jumppos=P,k())return-1;return O--,0}function B(t,e,i,s){var n;for(E=t,P=0,r=i,o=e,n=0;n<17;n++)x[n]=0;return 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r,o,n,a,l,c,d,p=[];if(t.elementClass!==i.Z.OBJECT_CLASS_CURVE||t.type!==i.Z.OBJECT_TYPE_ARC&&t.type!==i.Z.OBJECT_TYPE_SECTOR){if(t.elementClass===i.Z.OBJECT_CLASS_CURVE&&s.Z.exists(t.points))for(o=t.numberPoints,r=0;r<o;r++)this._addToList(p,t.points[r],r);else if(t.type===i.Z.OBJECT_TYPE_POLYGON)for(r=0;r<t.vertices.length;r++)this._addToList(p,t.vertices[r].coords,r);else if(t.elementClass===i.Z.OBJECT_CLASS_CIRCLE)for(d=359,n=t.Radius(),a=2*Math.PI/d,r=0;r<=d;r++)this._addToList(p,new u.Z(i.Z.COORDS_BY_USER,[t.center.coords.usrCoords[0],t.center.coords.usrCoords[1]+Math.cos(r*a)*n,t.center.coords.usrCoords[2]+Math.sin(r*a)*n],e),r);else if(s.Z.isArray(t))for(o=t.length,r=0;r<o;r++)s.Z.exists(t[r].coords)?this._addToList(p,t[r].coords,r):s.Z.isArray(t[r])?this._addToList(p,new 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Error("JSXGraph error: In JXG.Math.Poly.monomial missing parameter 'ring'.");for(s.Z.isArray(i)||(i=[]),r=(i=i.slice(0,t.vars.length)).length;r<t.vars.length;r++)i.push(0);this.ring=t,this.coefficient=e||0,this.exponents=s.Z.deepCopy(i)},t.Z.extend(o.Z.Poly.Monomial.prototype,{copy:function(){return new o.Z.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("*")}}),o.Z.Poly.Polynomial=function(t,e){var i;if(!s.Z.exists(t))throw new Error("JSXGraph error: In JXG.Math.Poly.polynomial missing parameter 'ring'.");i=s.Z.exists(e)&&s.Z.isString(e)?void 0:[],this.ring=t,this.monomials=i},t.Z.extend(o.Z.Poly.Polynomial.prototype,{findSignature:function(t){var e;for(e=0;e<this.monomials.length;e++)if(s.Z.cmpArrays(this.monomials[e].exponents,t))return e;return-1},addSubMonomial:function(t,e){var i;(i=this.findSignature(t.exponents))>-1?this.monomials[i].coefficient+=e*t.coefficient:(t.coefficient*=e,this.monomials.push(t))},add:function(t){var e;if(!s.Z.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(s.Z.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(!s.Z.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(s.Z.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,e;for(e=new o.Z.Poly.Polynomial(this.ring),t=0;t<this.monomials.length;t++)e.monomials.push(this.monomials[t].copy());return e},print:function(){var t,e=[];for(t=0;t<this.monomials.length;t++)e.push("("+this.monomials[t].print()+")");return e.join("+")}});o.Z.Poly;t.Z.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.Z.extend(t.Z.Complex.prototype,{toString:function(){return this.real+" + "+this.imaginary+"i"},add:function(t){return s.Z.isNumber(t)?this.real+=t:(this.real+=t.real,this.imaginary+=t.imaginary),this},sub:function(t){return s.Z.isNumber(t)?this.real-=t:(this.real-=t.real,this.imaginary-=t.imaginary),this},mult:function(t){var e,i;return s.Z.isNumber(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(s.Z.isNumber(t)){if(Math.abs(t)<Math.eps)return this.real=1/0,this.imaginary=1/0,this;this.real/=t,this.imaginary/=t}else{if(Math.abs(t.real)<Math.eps&&Math.abs(t.imaginary)<Math.eps)return this.real=1/0,this.imaginary=1/0,this;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.Z.C={},t.Z.C.add=function(e,i){var s=new t.Z.Complex(e);return s.add(i),s},t.Z.C.sub=function(e,i){var s=new t.Z.Complex(e);return s.sub(i),s},t.Z.C.mult=function(e,i){var s=new t.Z.Complex(e);return s.mult(i),s},t.Z.C.div=function(e,i){var s=new t.Z.Complex(e);return s.div(i),s},t.Z.C.conj=function(e){var i=new t.Z.Complex(e);return i.conj(),i},t.Z.C.abs=function(e){var i=new t.Z.Complex(e);return i.conj(),i.mult(e),Math.sqrt(i.real)},t.Z.C.copy=function(e){return new t.Z.Complex(e)},t.Z.Complex.C=t.Z.C;var T=t.Z.Complex,N=__webpack_require__(766);t.Z.AbstractRenderer=function(){this.vOffsetText=0,this.enhancedRendering=!0,this.container=null,this.type="",this.supportsForeignObject=!1,this.dashArray=[[2,2],[5,5],[10,10],[20,20],[20,10,10,10],[20,5,10,5],[0,5]]},t.Z.extend(t.Z.AbstractRenderer.prototype,{_updateVisual:function(t,e,i){(i||this.enhancedRendering)&&(e=e||{},this.setObjectViewport(t),this.setObjectTransition(t),s.Z.evaluate(t.visProp.draft)?this.setDraft(t):(e.stroke||(t.highlighted?(this.setObjectStrokeColor(t,t.visProp.highlightstrokecolor,t.visProp.highlightstrokeopacity),this.setObjectStrokeWidth(t,t.visProp.highlightstrokewidth)):(this.setObjectStrokeColor(t,t.visProp.strokecolor,t.visProp.strokeopacity),this.setObjectStrokeWidth(t,t.visProp.strokewidth))),e.fill||(t.highlighted?this.setObjectFillColor(t,t.visProp.highlightfillcolor,t.visProp.highlightfillopacity):this.setObjectFillColor(t,t.visProp.fillcolor,t.visProp.fillopacity)),e.dash||this.setDashStyle(t,t.visProp),e.shadow||this.setShadow(t),e.tabindex||this.setTabindex(t)))},_getHighlighted:function(t){var e=!1;return s.Z.exists(t.board)&&s.Z.exists(t.board.highlightedObjects)||(e=!0),!e&&s.Z.exists(t.board.highlightedObjects[t.id])?"highlight":""},drawPoint:function(t){var e,i=N.Z.normalizePointFace(s.Z.evaluate(t.visProp.face));e="o"===i?"ellipse":"[]"===i?"rect":"path",t.rendNode=this.appendChildPrim(this.createPrim(e,t.id),s.Z.evaluate(t.visProp.layer)),this.appendNodesToElement(t,e),this._updateVisual(t,{dash:!0,shadow:!0},!0),this.updatePoint(t)},updatePoint:function(t){var e,i=s.Z.evaluate(t.visProp.size),r=N.Z.normalizePointFace(s.Z.evaluate(t.visProp.face)),o=s.Z.evaluate(t.visProp.sizeunit),n=s.Z.evaluate(t.visProp.zoom);isNaN(t.coords.scrCoords[2]+t.coords.scrCoords[1])||("user"===o&&(i*=Math.sqrt(Math.abs(t.board.unitX*t.board.unitY))),e=0===(i*=t.board&&n?Math.sqrt(t.board.zoomX*t.board.zoomY):1)?0:i+1,"o"===r?this.updateEllipsePrim(t.rendNode,t.coords.scrCoords[1],t.coords.scrCoords[2],e,e):"[]"===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._updateVisual(t,{dash:!1,shadow:!1}),this.setShadow(t))},changePointStyle:function(t){var e=this.getElementById(t.id);s.Z.exists(e)&&this.remove(e),this.drawPoint(t),s.Z.clearVisPropOld(t),t.visPropCalc.visible||this.display(t,!1),s.Z.evaluate(t.visProp.draft)&&this.setDraft(t)},drawLine:function(t){t.rendNode=this.appendChildPrim(this.createPrim("line",t.id),s.Z.evaluate(t.visProp.layer)),this.appendNodesToElement(t,"lines"),this.updateLine(t)},updateLine:function(t){this._updateVisual(t),this.updatePathWithArrowHeads(t),this.setLineCap(t)},drawCurve:function(t){t.rendNode=this.appendChildPrim(this.createPrim("path",t.id),s.Z.evaluate(t.visProp.layer)),this.appendNodesToElement(t,"path"),this.updateCurve(t)},updateCurve:function(t){this._updateVisual(t),this.updatePathWithArrowHeads(t),this.setLineCap(t)},updatePathWithArrowHeads:function(t,e){var r,o,n=t.visProp,a=e?"highlight":"";r=e&&n.highlightstrokewidth?Math.max(s.Z.evaluate(n.highlightstrokewidth),s.Z.evaluate(n.strokewidth)):s.Z.evaluate(n.strokewidth),o=this.getArrowHeadData(t,r,a),this.makeArrows(t,o),t.elementClass===i.Z.OBJECT_CLASS_LINE?this.updateLineWithEndings(t,o):t.elementClass===i.Z.OBJECT_CLASS_CURVE&&this.updatePath(t),this.setArrowSize(t,o)},getArrowHeadData:function(t,e,r){var n,a,h,l,c=o.Z.eps,d=0,u=0,p=0,f=0,_=s.Z.evaluate(t.visProp.firstarrow),g=s.Z.evaluate(t.visProp.lastarrow);return(_||g)&&(n=s.Z.exists(_.type)?s.Z.evaluate(_.type):t.elementClass===i.Z.OBJECT_CLASS_LINE?1:7,a=s.Z.exists(g.type)?s.Z.evaluate(g.type):t.elementClass===i.Z.OBJECT_CLASS_LINE?1:7,_&&(l=6,s.Z.exists(_.size)&&(l=s.Z.evaluate(_.size)),""!==r&&s.Z.exists(_[r+"size"])&&(l=s.Z.evaluate(_[r+"size"])),h=e*l,2===n?(h*=.5,c+=e*l):3===n?(h=e*l/3,c+=e):4===n||5===n||6===n?(h=e*l/1.5,c+=e*l):7===n?(h=0,l=10,c+=e):c+=e*l,d+=h,p=l),g&&(l=6,s.Z.exists(g.size)&&(l=s.Z.evaluate(g.size)),""!==r&&s.Z.exists(g[r+"size"])&&(l=s.Z.evaluate(g[r+"size"])),h=e*l,2===a?(h*=.5,c+=e*l):3===a?(h=e*l/3,c+=e):4===a||5===a||6===a?(h=e*l/1.5,c+=e*l):7===a?(h=0,l=10,c+=e):c+=e*l,u+=h,f=l)),t.visPropCalc.typeFirst=n,t.visPropCalc.typeLast=a,{evFirst:_,evLast:g,typeFirst:n,typeLast:a,offFirst:d,offLast:u,sizeFirst:p,sizeLast:f,showFirst:1,showLast:1,minLen:c,strokeWidth:e}},updateLineWithEndings:function(t,e){var r,o,n;return r=new u.Z(i.Z.COORDS_BY_USER,t.point1.coords.usrCoords,t.board),o=new u.Z(i.Z.COORDS_BY_USER,t.point2.coords.usrCoords,t.board),n=s.Z.evaluate(t.visProp.margin),h.Z.calcStraight(t,r,o,n),this.handleTouchpoints(t,r,o,e),this.getPositionArrowHead(t,r,o,e),this.updateLinePrim(t.rendNode,r.scrCoords[1],r.scrCoords[2],o.scrCoords[1],o.scrCoords[2],t.board),this},updatePath:function(t){return s.Z.evaluate(t.visProp.handdrawing)?this.updatePathPrim(t.rendNode,this.updatePathStringBezierPrim(t),t.board):this.updatePathPrim(t.rendNode,this.updatePathStringPrim(t),t.board),this},getPositionArrowHead:function(t,e,s,r){var o,n,a,h,l;return(r.evFirst||r.evLast)&&(n=a=h=l=0,o=e.distance(i.Z.COORDS_BY_SCREEN,s),r.evFirst&&"vml"!==t.board.renderer.type&&(o>=r.minLen?(n=(s.scrCoords[1]-e.scrCoords[1])*r.offFirst/o,a=(s.scrCoords[2]-e.scrCoords[2])*r.offFirst/o):r.showFirst=0),r.evLast&&"vml"!==t.board.renderer.type&&(o>=r.minLen?(h=(s.scrCoords[1]-e.scrCoords[1])*r.offLast/o,l=(s.scrCoords[2]-e.scrCoords[2])*r.offLast/o):r.showLast=0),e.setCoordinates(i.Z.COORDS_BY_SCREEN,[e.scrCoords[1]+n,e.scrCoords[2]+a],!1,!0),s.setCoordinates(i.Z.COORDS_BY_SCREEN,[s.scrCoords[1]-h,s.scrCoords[2]-l],!1,!0)),this},handleTouchpoints:function(t,e,r,o){var n,a,h,l,c,d,u;return(o.evFirst||o.evLast)&&(h=l=c=d=u=0,n=s.Z.evaluate(t.point1.visProp.size)+s.Z.evaluate(t.point1.visProp.strokewidth),a=s.Z.evaluate(t.point2.visProp.size)+s.Z.evaluate(t.point2.visProp.strokewidth),o.evFirst&&s.Z.evaluate(t.visProp.touchfirstpoint)&&s.Z.evaluate(t.point1.visProp.visible)&&(h=e.distance(i.Z.COORDS_BY_SCREEN,r),l=(r.scrCoords[1]-e.scrCoords[1])*n/h,c=(r.scrCoords[2]-e.scrCoords[2])*n/h),o.evLast&&s.Z.evaluate(t.visProp.touchlastpoint)&&s.Z.evaluate(t.point2.visProp.visible)&&(h=e.distance(i.Z.COORDS_BY_SCREEN,r),d=(r.scrCoords[1]-e.scrCoords[1])*a/h,u=(r.scrCoords[2]-e.scrCoords[2])*a/h),e.setCoordinates(i.Z.COORDS_BY_SCREEN,[e.scrCoords[1]+l,e.scrCoords[2]+c],!1,!0),r.setCoordinates(i.Z.COORDS_BY_SCREEN,[r.scrCoords[1]-d,r.scrCoords[2]-u],!1,!0)),this},setArrowSize:function(t,e){return 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t.Z.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}});var B=t.Z.Composition;t.Z.Board=function(o,n,a,h,l,c,d,u,p,f,_){if(this.BOARD_MODE_NONE=0,this.BOARD_MODE_DRAG=1,this.BOARD_MODE_MOVE_ORIGIN=2,this.BOARD_MODE_ZOOM=17,this.BOARD_QUALITY_LOW=1,this.BOARD_QUALITY_HIGH=2,s.Z.exists(_.document)&&!1!==_.document?this.document=_.document:e.Z.isBrowser&&(this.document=document),this.container="",this.containerObj=null,s.Z.isString(o)?(this.container=o,this.containerObj=e.Z.isBrowser?this.document.getElementById(this.container):null):e.Z.isBrowser&&(this.containerObj=o,this.container=this.containerObj.getAttribute("id"),null===this.container&&(this.container="null"+parseInt(1e8*Math.random()).toString())),e.Z.isBrowser&&"no"!==n.type&&null===this.containerObj)throw new Error('\nJSXGraph: HTML container element 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R.Z,this.jc.use(this),this.origin={},this.origin.usrCoords=[1,0,0],this.origin.scrCoords=[1,h[0],h[1]],this.zoomX=l,this.zoomY=c,this.unitX=d*this.zoomX,this.unitY=u*this.zoomY,this.keepaspectratio=!1,this.canvasWidth=p,this.canvasHeight=f,s.Z.exists(a)&&""!==a&&e.Z.isBrowser&&!s.Z.exists(this.document.getElementById(a))?this.id=a:this.id=this.generateId(),r.Z.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.touchMoveLastId=1/0,this.positionAccessLast=0,this.downObjects=[],this.focusObjects=[],this.attr.showcopyright&&this.renderer.displayCopyright(i.Z.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.hasWheelHandlers=!1,this.hasMouseUp=!1,this.hasTouchEnd=!1,this.hasPointerUp=!1,this._drag_offset=[0,0],this._inputDevice="mouse",this._board_touches=[],this.selectingMode=!1,this.isSelecting=!1,this._isScrolling=!1,this._isResizing=!1,this.selectingBox=[[0,0],[0,0]],this.userLog=[],this.mathLib=Math,this.mathLibJXG=t.Z.Math,!0===this.attr.registerevents?this.attr.registerevents={fullscreen:!0,keyboard:!0,pointer:!0,resize:!0,wheel:!0}:"object"==typeof this.attr.registerevents&&(s.Z.exists(this.attr.registerevents.fullscreen)||(this.attr.registerevents.fullscreen=!0),s.Z.exists(this.attr.registerevents.keyboard)||(this.attr.registerevents.keyboard=!0),s.Z.exists(this.attr.registerevents.pointer)||(this.attr.registerevents.pointer=!0),s.Z.exists(this.attr.registerevents.resize)||(this.attr.registerevents.resize=!0),s.Z.exists(this.attr.registerevents.wheel)||(this.attr.registerevents.wheel=!0)),!1!==this.attr.registerevents&&(this.attr.registerevents.fullscreen&&this.addFullscreenEventHandlers(),this.attr.registerevents.keyboard&&this.addKeyboardEventHandlers(),this.attr.registerevents.pointer&&this.addEventHandlers(),this.attr.registerevents.resize&&this.addResizeEventHandlers(),this.attr.registerevents.wheel&&this.addWheelEventHandlers()),this.methodMap={update:"update",fullUpdate:"fullUpdate",on:"on",off:"off",trigger:"trigger",setAttribute:"setAttribute",setBoundingBox:"setBoundingBox",setView:"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.Z.extend(t.Z.Board.prototype,{generateName:function(t){var e,r,o=this.attr.maxnamelength,n="",a="",h=[],l="";if(t.type===i.Z.OBJECT_TYPE_TICKS)return"";for(e=s.Z.isPoint(t)||s.Z.isPoint3D(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===i.Z.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"],s.Z.isPoint(t)||t.elementClass===i.Z.OBJECT_CLASS_LINE||t.type===i.Z.OBJECT_TYPE_ANGLE||(n=t.type===i.Z.OBJECT_TYPE_POLYGON?"P_{":t.elementClass===i.Z.OBJECT_CLASS_CIRCLE?"k_{":t.elementClass===i.Z.OBJECT_CLASS_TEXT?"t_{":"s_{",a="}"),r=0;r<o;r++)h[r]=0;for(;h[o-1]<e.length;){for(h[0]=1;h[0]<e.length;h[0]++){for(l=n,r=o;r>0;r--)l+=e[h[r-1]];if(!s.Z.exists(this.elementsByName[l+a]))return l+a}for(h[0]=e.length,r=1;r<o;r++)h[r-1]===e.length&&(h[r-1]=1,h[r]+=1)}return""},generateId:function(){for(var e=1;s.Z.exists(t.Z.boards["jxgBoard"+e]);)e=Math.round(65535*Math.random());return"jxgBoard"+e},setId:function(t,e){var i,r=this.numObjects,o=t.id;if(this.numObjects+=1,""===o||!s.Z.exists(o))for(o=this.id+e+r;s.Z.exists(this.objects[o]);)i=Math.round(65535*Math.random()),o=this.id+e+r+"-"+i;return t.id=o,this.objects[o]=t,t._pos=this.objectsList.length,this.objectsList[this.objectsList.length]=t,o},finalizeAdding:function(t){!1===s.Z.evaluate(t.visProp.visible)&&this.renderer.display(t,!1)},finalizeLabel:function(t){t.hasLabel&&!s.Z.evaluate(t.label.visProp.islabel)&&!1===s.Z.evaluate(t.label.visProp.visible)&&this.renderer.display(t.label,!1)},checkFrameRate:function(t){var e=!1,i=(new Date).getTime();return s.Z.exists(t.pointerId)&&this.touchMoveLastId!==t.pointerId&&(e=!0,this.touchMoveLastId=t.pointerId),!e&&(i-this.touchMoveLast)*this.attr.maxframerate>=1e3&&(e=!0),e&&(this.touchMoveLast=i),e},getCoordsTopLeftCorner:function(){var t,i,r,o,n,a=this.document.ownerDocument||this.document,h=a.documentElement||this.document.body.parentNode,l=a.body,c=this.containerObj;if(this.cPos.length>0&&(this.mode===this.BOARD_MODE_DRAG||this.mode===this.BOARD_MODE_MOVE_ORIGIN||(new Date).getTime()-this.positionAccessLast<1e3))return this.cPos;if(this.positionAccessLast=(new Date).getTime(),c.getBoundingClientRect){for(r=c.getBoundingClientRect(),o=1,n=c;n&&s.Z.exists(n.parentNode);)s.Z.exists(n.style)&&s.Z.exists(n.style.zoom)&&""!==n.style.zoom&&(o*=parseFloat(n.style.zoom)),n=n.parentNode;return(t=[r.left*o,r.top*o])[0]+=e.Z.getProp(c,"border-left-width"),t[1]+=e.Z.getProp(c,"border-top-width"),"vml"!==this.renderer.type&&(t[0]+=e.Z.getProp(c,"padding-left"),t[1]+=e.Z.getProp(c,"padding-top")),this.cPos=t.slice(),this.cPos}return t=e.Z.getOffset(c),i=this.document.documentElement.ownerDocument,!this.containerObj.currentStyle&&i.defaultView&&(t[0]+=e.Z.getProp(h,"margin-left"),t[1]+=e.Z.getProp(h,"margin-top"),t[0]+=e.Z.getProp(h,"border-left-width"),t[1]+=e.Z.getProp(h,"border-top-width"),t[0]+=e.Z.getProp(h,"padding-left"),t[1]+=e.Z.getProp(h,"padding-top")),l&&(t[0]+=e.Z.getProp(l,"left"),t[1]+=e.Z.getProp(l,"top")),"object"==typeof google&&google.translate&&(t[0]+=10,t[1]+=25),t[0]+=e.Z.getProp(c,"border-left-width"),t[1]+=e.Z.getProp(c,"border-top-width"),"vml"!==this.renderer.type&&(t[0]+=e.Z.getProp(c,"padding-left"),t[1]+=e.Z.getProp(c,"padding-top")),t[0]+=this.attr.offsetx,t[1]+=this.attr.offsety,this.cPos=t.slice(),this.cPos},getMousePosition:function(t,i){var s,r,n=this.getCoordsTopLeftCorner();return s=e.Z.getPosition(t,i,this.document),this.updateCSSTransforms(),r=[1,s[0]-n[0],s[1]-n[1]],(r=o.Z.matVecMult(this.cssTransMat,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,e,r,o){var n,a,h,l=[],c=[],d=this.objectsList.length,u={visProp:{layer:-1e4}};for(this._shiftKey=r.shiftKey,this._ctrlKey=r.ctrlKey,a=0;a<d;a++)h=(n=this.objectsList[a]).hasPoint&&n.hasPoint(t,e),n.visPropCalc.visible&&h&&(n.triggerEventHandlers([o+"down","down"],[r]),this.downObjects.push(n)),h&&n.isDraggable&&n.visPropCalc.visible&&(this.geonextCompatibilityMode&&(s.Z.isPoint(n)||n.elementClass===i.Z.OBJECT_CLASS_TEXT)||!this.geonextCompatibilityMode)&&!s.Z.evaluate(n.visProp.fixed)&&(n.visProp.layer>u.visProp.layer||n.visProp.layer===u.visProp.layer&&n.lastDragTime.getTime()>=u.lastDragTime.getTime())&&(this.attr.ignorelabels&&s.Z.exists(u.label)&&n===u.label||(u=n,l.push(u),s.Z.exists(u.coords)?c.push(p.Z.subtract(u.coords.scrCoords.slice(1),[t,e])):c.push([0,0])));return this.attr.drag.enabled&&l.length>0&&(this.mode=this.BOARD_MODE_DRAG),this.attr.takefirst?(l.length=1,this._drag_offset=c[0]):(l=l.slice(-1),this._drag_offset=c[c.length-1]),this._drag_offset||(this._drag_offset=[0,0]),"svg"===this.renderer.type&&s.Z.exists(l[0])&&s.Z.evaluate(l[0].visProp.dragtotopoflayer)&&1===l.length&&s.Z.exists(l[0].rendNode)&&l[0].rendNode.parentNode.appendChild(l[0].rendNode),l.length>=1&&(l[0].highlight(!0),this.triggerEventHandlers(["mousehit","hit"],[r,l[0]])),l},moveObject:function(t,e,r,o,n){var a,h,l,c=new u.Z(i.Z.COORDS_BY_SCREEN,this.getScrCoordsOfMouse(t,e),this);r&&r.obj&&((a=r.obj).coords&&(h=a.coords.scrCoords.slice()),this.addLogEntry("drag",a,c.usrCoords.slice(1)),this.drag_position=[c.scrCoords[1],c.scrCoords[2]],this.drag_position=p.Z.add(this.drag_position,this._drag_offset),this._shiftKey=o.shiftKey,this._ctrlKey=o.ctrlKey,s.Z.exists(a.coords)?a.setPositionDirectly(i.Z.COORDS_BY_SCREEN,this.drag_position):(this.displayInfobox(!1),isNaN(r.targets[0].Xprev+r.targets[0].Yprev)||a.setPositionDirectly(i.Z.COORDS_BY_SCREEN,[c.scrCoords[1],c.scrCoords[2]],[r.targets[0].Xprev,r.targets[0].Yprev]),r.targets[0].Xprev=c.scrCoords[1],r.targets[0].Yprev=c.scrCoords[2]),s.Z.exists(a.coords)&&(a.prepareUpdate().update(!1).updateRenderer(),this.updateInfobox(a),a.prepareUpdate().update(!0).updateRenderer()),a.coords&&(l=a.coords.scrCoords),a.coords&&h[1]===l[1]&&h[2]===l[2]||(a.triggerEventHandlers([n+"drag","drag"],[o]),this.update()),a.highlight(!0),this.triggerEventHandlers(["mousehit","hit"],[o,a]),a.lastDragTime=new Date)},twoFingerMove:function(t,e,r){var o;s.Z.exists(t)&&s.Z.exists(t.obj)&&((o=t.obj).elementClass===i.Z.OBJECT_CLASS_LINE||o.type===i.Z.OBJECT_TYPE_POLYGON?this.twoFingerTouchObject(t.targets,o,e):o.elementClass===i.Z.OBJECT_CLASS_CIRCLE&&this.twoFingerTouchCircle(t.targets,o,e),r&&o.triggerEventHandlers(["touchdrag","drag"],[r]))},getTwoFingerTransform(t,e,s,r){var n,a,h,l,c,d,p,f,_,g,m,b,v,Z,C,y,P;return a=(n=new u.Z(i.Z.COORDS_BY_SCREEN,[t.Xprev,t.Yprev],this).usrCoords)[1],h=n[2],l=(n=new u.Z(i.Z.COORDS_BY_SCREEN,[e.Xprev,e.Yprev],this).usrCoords)[1],c=n[2],f=(n=new u.Z(i.Z.COORDS_BY_SCREEN,[t.X,t.Y],this).usrCoords)[1],_=n[2],Z=((b=(g=(n=new u.Z(i.Z.COORDS_BY_SCREEN,[e.X,e.Y],this).usrCoords)[1])-f)*(d=l-a)+(v=(m=n[2])-_)*(p=c-h))/(y=d*d+p*p),C=(v*d-b*p)/y,s||(Z/=P=o.Z.hypot(Z,C),C/=P),r||(C=0),[1,0,0,.5*(f+g-Z*(a+l)+C*(h+c)),Z,-C,.5*(_+m-C*(a+l)-Z*(h+c)),C,Z]},twoFingerTouchObject:function(t,e,r){var o,n,a,h,l,c,d=!1;if(s.Z.exists(t[0])&&s.Z.exists(t[1])&&!isNaN(t[0].Xprev+t[0].Yprev+t[1].Xprev+t[1].Yprev)){if(n=this.getTwoFingerTransform(t[0],t[1],s.Z.evaluate(e.visProp.scalable),s.Z.evaluate(e.visProp.rotatable)),(o=this.create("transform",n,{type:"generic"})).update(),e.elementClass===i.Z.OBJECT_CLASS_LINE)a=[],e.point1.draggable()&&a.push(e.point1),e.point2.draggable()&&a.push(e.point2),o.applyOnce(a);else if(e.type===i.Z.OBJECT_TYPE_POLYGON){for(l=e.vertices.length-1,c=e.visProp,d=s.Z.evaluate(c.snaptogrid)||s.Z.evaluate(c.snaptopoints),h=0;h<l&&!d;++h)c=e.vertices[h].visProp,d=(d=d||s.Z.evaluate(c.snaptogrid)||s.Z.evaluate(c.snaptopoints))||!e.vertices[h].draggable();if(!d){for(a=[],h=0;h<l;++h)e.vertices[h].draggable()&&a.push(e.vertices[h]);o.applyOnce(a)}}this.update(),e.highlight(!0)}},twoFingerTouchCircle:function(t,e,r){var o,n,a,l,c,d,p,f,_,g,m;"pointCircle"!==e.method&&"pointLine"!==e.method&&s.Z.exists(t[0])&&s.Z.exists(t[1])&&!isNaN(t[0].Xprev+t[0].Yprev+t[1].Xprev+t[1].Yprev)&&(r===t[0].num?(o=t[1],n=t[0]):(o=t[0],n=t[1]),c=new u.Z(i.Z.COORDS_BY_SCREEN,[o.Xprev,o.Yprev],this).usrCoords,l=new u.Z(i.Z.COORDS_BY_SCREEN,[n.Xprev,n.Yprev],this).usrCoords,a=new u.Z(i.Z.COORDS_BY_SCREEN,[n.X,n.Y],this).usrCoords,p=h.Z.rad(l.slice(1),c.slice(1),a.slice(1)),f=this.create("transform",[-c[1],-c[2]],{type:"translate"}),_=this.create("transform",[p],{type:"rotate"}),f.melt(_),s.Z.evaluate(e.visProp.scalable)&&(d=h.Z.distance(c,a)/h.Z.distance(c,l),g=this.create("transform",[d,d],{type:"scale"}),f.melt(g)),m=this.create("transform",[c[1],c[2]],{type:"translate"}),f.melt(m),e.center.draggable()&&f.applyOnce([e.center]),"twoPoints"===e.method?e.point2.draggable()&&f.applyOnce([e.point2]):"pointRadius"===e.method&&s.Z.isNumber(e.updateRadius.origin)&&e.setRadius(e.radius*d),this.update(e.center),e.highlight(!0))},highlightElements:function(t,e,i,r){var o,n,a,h={},l=this.objectsList.length;for(o=0;o<l;o++)a=(n=this.objectsList[o]).id,s.Z.exists(n.hasPoint)&&n.visPropCalc.visible&&n.hasPoint(t,e)&&(this.updateInfobox(n),s.Z.exists(this.highlightedObjects[a])||(h[a]=n,n.highlight(),this.triggerEventHandlers(["mousehit","hit"],[i,n,r])),n.mouseover?n.triggerEventHandlers(["mousemove","move"],[i]):(n.triggerEventHandlers(["mouseover","over"],[i]),n.mouseover=!0));for(o=0;o<l;o++)a=(n=this.objectsList[o]).id,n.mouseover&&(h[a]||(n.triggerEventHandlers(["mouseout","out"],[i]),n.mouseover=!1))},saveStartPos:function(e,r){var o,n,a=[];if(e.type===i.Z.OBJECT_TYPE_TICKS)a.push([1,NaN,NaN]);else if(e.elementClass===i.Z.OBJECT_CLASS_LINE)a.push(e.point1.coords.usrCoords),a.push(e.point2.coords.usrCoords);else if(e.elementClass===i.Z.OBJECT_CLASS_CIRCLE)a.push(e.center.coords.usrCoords),"twoPoints"===e.method&&a.push(e.point2.coords.usrCoords);else if(e.type===i.Z.OBJECT_TYPE_POLYGON)for(n=e.vertices.length-1,o=0;o<n;o++)a.push(e.vertices[o].coords.usrCoords);else if(e.type===i.Z.OBJECT_TYPE_SECTOR)a.push(e.point1.coords.usrCoords),a.push(e.point2.coords.usrCoords),a.push(e.point3.coords.usrCoords);else if(s.Z.isPoint(e)||e.type===i.Z.OBJECT_TYPE_GLIDER)a.push(e.coords.usrCoords);else if(e.elementClass===i.Z.OBJECT_CLASS_CURVE)e.points.length>0&&a.push(e.points[0].usrCoords);else try{a.push(e.coords.usrCoords)}catch(e){t.Z.debug("JSXGraph+ saveStartPos: obj.coords.usrCoords not available: "+e)}for(n=a.length,o=0;o<n;o++)r.Zstart.push(a[o][0]),r.Xstart.push(a[o][1]),r.Ystart.push(a[o][2])},mouseOriginMoveStart:function(t){var e,i;return(e=this._isRequiredKeyPressed(t,"pan"))&&(i=this.getMousePosition(t),this.initMoveOrigin(i[0],i[1])),e},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},touchStartMoveOriginOneFinger:function(e){var i,s,r=e[t.Z.touchProperty];return(i=this.attr.pan.enabled&&!this.attr.pan.needtwofingers&&1===r.length)&&(s=this.getMousePosition(e,0),this.initMoveOrigin(s[0],s[1])),i},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(){e.Z.supportsPointerEvents()?this.addPointerEventHandlers():(this.addMouseEventHandlers(),this.addTouchEventHandlers()),null!==this.containerObj&&(this.containerObj.oncontextmenu=function(t){return s.Z.exists(t)&&t.preventDefault(),!1})},addResizeEventHandlers:function(){if(e.Z.isBrowser){try{this.startResizeObserver()}catch(t){e.Z.addEvent(window,"resize",this.resizeListener,this),this.startIntersectionObserver()}e.Z.addEvent(window,"scroll",this.scrollListener,this)}},removeEventHandlers:function(){this.removeMouseEventHandlers(),this.removeTouchEventHandlers(),this.removePointerEventHandlers(),this.removeFullscreenEventHandlers(),this.removeKeyboardEventHandlers(),e.Z.isBrowser&&(s.Z.exists(this.resizeObserver)?this.stopResizeObserver():(e.Z.removeEvent(window,"resize",this.resizeListener,this),this.stopIntersectionObserver()),e.Z.removeEvent(window,"scroll",this.scrollListener,this))},addPointerEventHandlers:function(){if(!this.hasPointerHandlers&&e.Z.isBrowser){var t=this.attr.movetarget||this.containerObj;window.navigator.msPointerEnabled?(e.Z.addEvent(this.containerObj,"MSPointerDown",this.pointerDownListener,this),e.Z.addEvent(t,"MSPointerMove",this.pointerMoveListener,this)):(e.Z.addEvent(this.containerObj,"pointerdown",this.pointerDownListener,this),e.Z.addEvent(t,"pointermove",this.pointerMoveListener,this),e.Z.addEvent(t,"pointerleave",this.pointerLeaveListener,this)),null!==this.containerObj&&(this.containerObj.style.touchAction="none"),this.hasPointerHandlers=!0}},addMouseEventHandlers:function(){if(!this.hasMouseHandlers&&e.Z.isBrowser){var t=this.attr.movetarget||this.containerObj;e.Z.addEvent(this.containerObj,"mousedown",this.mouseDownListener,this),e.Z.addEvent(t,"mousemove",this.mouseMoveListener,this),this.hasMouseHandlers=!0}},addTouchEventHandlers:function(t){if(!this.hasTouchHandlers&&e.Z.isBrowser){var i=this.attr.movetarget||this.containerObj;e.Z.addEvent(this.containerObj,"touchstart",this.touchStartListener,this),e.Z.addEvent(i,"touchmove",this.touchMoveListener,this),this.hasTouchHandlers=!0}},addWheelEventHandlers:function(){!this.hasWheelHandlers&&e.Z.isBrowser&&(e.Z.addEvent(this.containerObj,"mousewheel",this.mouseWheelListener,this),e.Z.addEvent(this.containerObj,"DOMMouseScroll",this.mouseWheelListener,this),this.hasWheelHandlers=!0)},addFullscreenEventHandlers:function(){var t,i=["fullscreenchange","mozfullscreenchange","webkitfullscreenchange","msfullscreenchange"],s=i.length;if(!this.hasFullscreenEventHandlers&&e.Z.isBrowser){for(t=0;t<s;t++)e.Z.addEvent(this.document,i[t],this.fullscreenListener,this);this.hasFullscreenEventHandlers=!0}},addKeyboardEventHandlers:function(){this.attr.keyboard.enabled&&!this.hasKeyboardHandlers&&e.Z.isBrowser&&(e.Z.addEvent(this.containerObj,"keydown",this.keyDownListener,this),e.Z.addEvent(this.containerObj,"focusin",this.keyFocusInListener,this),e.Z.addEvent(this.containerObj,"focusout",this.keyFocusOutListener,this),this.hasKeyboardHandlers=!0)},removeKeyboardEventHandlers:function(){this.hasKeyboardHandlers&&e.Z.isBrowser&&(e.Z.removeEvent(this.containerObj,"keydown",this.keyDownListener,this),e.Z.removeEvent(this.containerObj,"focusin",this.keyFocusInListener,this),e.Z.removeEvent(this.containerObj,"focusout",this.keyFocusOutListener,this),this.hasKeyboardHandlers=!1)},removeFullscreenEventHandlers:function(){var t,i=["fullscreenchange","mozfullscreenchange","webkitfullscreenchange","msfullscreenchange"],s=i.length;if(this.hasFullscreenEventHandlers&&e.Z.isBrowser){for(t=0;t<s;t++)e.Z.removeEvent(this.document,i[t],this.fullscreenListener,this);this.hasFullscreenEventHandlers=!1}},removePointerEventHandlers:function(){if(this.hasPointerHandlers&&e.Z.isBrowser){var t=this.attr.movetarget||this.containerObj;window.navigator.msPointerEnabled?(e.Z.removeEvent(this.containerObj,"MSPointerDown",this.pointerDownListener,this),e.Z.removeEvent(t,"MSPointerMove",this.pointerMoveListener,this)):(e.Z.removeEvent(this.containerObj,"pointerdown",this.pointerDownListener,this),e.Z.removeEvent(t,"pointermove",this.pointerMoveListener,this),e.Z.removeEvent(t,"pointerleave",this.pointerLeaveListener,this)),this.hasWheelHandlers&&(e.Z.removeEvent(this.containerObj,"mousewheel",this.mouseWheelListener,this),e.Z.removeEvent(this.containerObj,"DOMMouseScroll",this.mouseWheelListener,this)),this.hasPointerUp&&(window.navigator.msPointerEnabled?e.Z.removeEvent(this.document,"MSPointerUp",this.pointerUpListener,this):(e.Z.removeEvent(this.document,"pointerup",this.pointerUpListener,this),e.Z.removeEvent(this.document,"pointercancel",this.pointerUpListener,this)),this.hasPointerUp=!1),this.hasPointerHandlers=!1}},removeMouseEventHandlers:function(){if(this.hasMouseHandlers&&e.Z.isBrowser){var t=this.attr.movetarget||this.containerObj;e.Z.removeEvent(this.containerObj,"mousedown",this.mouseDownListener,this),e.Z.removeEvent(t,"mousemove",this.mouseMoveListener,this),this.hasMouseUp&&(e.Z.removeEvent(this.document,"mouseup",this.mouseUpListener,this),this.hasMouseUp=!1),this.hasWheelHandlers&&(e.Z.removeEvent(this.containerObj,"mousewheel",this.mouseWheelListener,this),e.Z.removeEvent(this.containerObj,"DOMMouseScroll",this.mouseWheelListener,this)),this.hasMouseHandlers=!1}},removeTouchEventHandlers:function(){if(this.hasTouchHandlers&&e.Z.isBrowser){var t=this.attr.movetarget||this.containerObj;e.Z.removeEvent(this.containerObj,"touchstart",this.touchStartListener,this),e.Z.removeEvent(t,"touchmove",this.touchMoveListener,this),this.hasTouchEnd&&(e.Z.removeEvent(this.document,"touchend",this.touchEndListener,this),this.hasTouchEnd=!1),this.hasTouchHandlers=!1}},clickLeftArrow:function(){return this.moveOrigin(this.origin.scrCoords[1]+.1*this.canvasWidth,this.origin.scrCoords[2]),this},clickRightArrow:function(){return this.moveOrigin(this.origin.scrCoords[1]-.1*this.canvasWidth,this.origin.scrCoords[2]),this},clickUpArrow:function(){return this.moveOrigin(this.origin.scrCoords[1],this.origin.scrCoords[2]-.1*this.canvasHeight),this},clickDownArrow:function(){return this.moveOrigin(this.origin.scrCoords[1],this.origin.scrCoords[2]+.1*this.canvasHeight),this},gestureChangeListener:function(t){var e,r,o,n,a,l,c,d,p,f,_,g,m=!1,b=this.attr.zoom.factorx,v=this.attr.zoom.factory,Z=!1;return this.mode!==this.BOARD_MODE_ZOOM||(t.preventDefault(),l=h.Z.distance([t.touches[0].clientX,t.touches[0].clientY],[t.touches[1].clientX,t.touches[1].clientY],2),void 0===t.scale&&(t.scale=l/this.prevDist),!!s.Z.exists(this.prevCoords)&&(r=[t.touches[0].clientX-this.prevCoords[0][0],t.touches[0].clientY-this.prevCoords[0][1]],o=[t.touches[1].clientX-this.prevCoords[1][0],t.touches[1].clientY-this.prevCoords[1][1]],r[0]*r[0]+r[1]*r[1]<100&&o[0]*o[0]+o[1]*o[1]<100||(n=h.Z.rad(r,[0,0],o),"pan"!==this.isPreviousGesture&&Math.abs(n)>.2*Math.PI&&Math.abs(n)<1.8*Math.PI&&(m=!0),"pan"===this.isPreviousGesture||m||(Math.abs(t.scale)<.77||Math.abs(t.scale)>1.3)&&(m=!0),a=t.scale/this.prevScale,this.prevScale=t.scale,this.prevCoords=[[t.touches[0].clientX,t.touches[0].clientY],[t.touches[1].clientX,t.touches[1].clientY]],e=new u.Z(i.Z.COORDS_BY_SCREEN,this.getMousePosition(t,0),this),this.attr.pan.enabled&&this.attr.pan.needtwofingers&&!m?(this.isPreviousGesture="pan",this.moveOrigin(e.scrCoords[1],e.scrCoords[2],!0)):this.attr.zoom.enabled&&Math.abs(a-1)<.5&&(Z=!1,(this.attr.zoom.pinchhorizontal||this.attr.zoom.pinchvertical)&&(p=Math.abs(t.touches[0].clientX-t.touches[1].clientX),f=Math.abs(t.touches[0].clientY-t.touches[1].clientY),c=Math.abs(Math.atan2(f,p)),d=Math.PI*this.attr.zoom.pinchsensitivity/90),!this.keepaspectratio&&this.attr.zoom.pinchhorizontal&&c<d?(this.attr.zoom.factorx=a,this.attr.zoom.factory=1,_=0,g=0,Z=!0):!this.keepaspectratio&&this.attr.zoom.pinchvertical&&Math.abs(c-.5*Math.PI)<d?(this.attr.zoom.factorx=1,this.attr.zoom.factory=a,_=0,g=0,Z=!0):this.attr.zoom.pinch&&(this.attr.zoom.factorx=a,this.attr.zoom.factory=a,_=e.usrCoords[1],g=e.usrCoords[2],Z=!0),Z&&(this.zoomIn(_,g),this.attr.zoom.factorx=b,this.attr.zoom.factory=v))),!1))},gestureStartListener:function(t){var e;return t.preventDefault(),this.prevScale=1,this.prevDist=h.Z.distance([t.touches[0].clientX,t.touches[0].clientY],[t.touches[1].clientX,t.touches[1].clientY],2),this.prevCoords=[[t.touches[0].clientX,t.touches[0].clientY],[t.touches[1].clientX,t.touches[1].clientY]],this.isPreviousGesture="none",e=this.getMousePosition(t,0),this.initMoveOrigin(e[0],e[1]),this.mode=this.BOARD_MODE_ZOOM,!1},_isRequiredKeyPressed:function(t,e){var i=this.attr[e];return!!i.enabled&&!(!(i.needshift&&t.shiftKey||!i.needshift&&!t.shiftKey)||!(i.needctrl&&t.ctrlKey||!i.needctrl&&!t.ctrlKey))},_isPointerRegistered:function(t){var e,i=this._board_touches.length;for(e=0;e<i;e++)if(this._board_touches[e].pointerId===t.pointerId)return!0;return!1},_pointerStorePosition:function(t){var e,i;for(e=0,i=!1;e<this._board_touches.length;e++)if(this._board_touches[e].pointerId===t.pointerId){this._board_touches[e].clientX=t.clientX,this._board_touches[e].clientY=t.clientY,i=!0;break}return!i&&this._board_touches.length<2&&this._board_touches.push({pointerId:t.pointerId,clientX:t.clientX,clientY:t.clientY}),this},_pointerRemoveTouches:function(t){var e;for(e=0;e<this._board_touches.length;e++)if(this._board_touches[e].pointerId===t.pointerId){this._board_touches.splice(e,1);break}return this},_pointerClearTouches:function(t){this._board_touches.length>0&&this.dehighlightAll(),this.updateQuality=this.BOARD_QUALITY_HIGH,this.mode=this.BOARD_MODE_NONE,this._board_touches=[],this.touches=[]},_getPointerInputDevice:function(t){if(e.Z.isBrowser){if("touch"===t.pointerType||window.navigator.msMaxTouchPoints&&window.navigator.msMaxTouchPoints>1)return"touch";if("mouse"===t.pointerType)return"mouse";if("pen"===t.pointerType)return"pen"}return"mouse"},pointerDownListener:function(t,i,r){var o,n,a,h,l,c,d,u,p,f,_;if(!i&&this._isPointerRegistered(t))return!1;if(null===s.Z.evaluate(this.attr.movetarget)&&s.Z.exists(t.target)&&s.Z.exists(t.target.releasePointerCapture)&&t.target.releasePointerCapture(t.pointerId),!i&&t.isPrimary,this.hasPointerUp||(window.navigator.msPointerEnabled?e.Z.addEvent(this.document,"MSPointerUp",this.pointerUpListener,this):(e.Z.addEvent(this.document,"pointerup",this.pointerUpListener,this),e.Z.addEvent(this.document,"pointercancel",this.pointerUpListener,this)),this.hasPointerUp=!0),this.hasMouseHandlers&&this.removeMouseEventHandlers(),this.hasTouchHandlers&&this.removeTouchEventHandlers(),this.document.selection&&s.Z.isFunction(this.document.selection.empty))this.document.selection.empty();else if(window.getSelection&&(c=window.getSelection()).removeAllRanges)try{c.removeAllRanges()}catch(t){}if(this._inputDevice=this._getPointerInputDevice(t),u=this._inputDevice,this.options.precision.hasPoint=this.options.precision[u],h=this.getMousePosition(t),this._testForSelection(t),this.selectingMode)return this._startSelecting(h),void this.triggerEventHandlers(["touchstartselecting","pointerstartselecting","startselecting"],[t]);if(this.attr.drag.enabled&&i?(l=[i],this.mode=this.BOARD_MODE_DRAG):l=this.initMoveObject(h[0],h[1],t,u),d={num:t.pointerId,X:h[0],Y:h[1],Xprev:NaN,Yprev:NaN,Xstart:[],Ystart:[],Zstart:[]},l.length>0){for(f=l[l.length-1],p=!1,o=0;o<this.touches.length;o++)if(this.touches[o].obj===f){n=o,a=this.touches[o].targets.push(d)-1,p=!0;break}p||(a=0,n=this.touches.push({obj:f,targets:[d]})-1),this.dehighlightAll(),f.highlight(!0),this.saveStartPos(f,this.touches[n].targets[a]),t&&t.preventDefault&&!r&&t.preventDefault()}return this.touches.length>0&&!r&&(t.preventDefault(),t.stopPropagation()),!!e.Z.isBrowser&&("touch"!==this._getPointerInputDevice(t)?this.mode===this.BOARD_MODE_NONE&&this.mouseOriginMoveStart(t):(this._pointerStorePosition(t),t.touches=this._board_touches,1===t.touches.length&&this.mode===this.BOARD_MODE_NONE&&this.touchStartMoveOriginOneFinger(t)||2!==t.touches.length||this.mode!==this.BOARD_MODE_NONE&&this.mode!==this.BOARD_MODE_MOVE_ORIGIN||(this.mode===this.BOARD_MODE_MOVE_ORIGIN&&this.originMoveEnd(),this.gestureStartListener(t))),_="none",this.mode!==this.BOARD_MODE_NONE||!s.Z.evaluate(this.attr.browserpan)||s.Z.evaluate(this.attr.pan.enabled)&&!s.Z.evaluate(this.attr.pan.needtwofingers)||(_="pan-x pan-y"),this.containerObj.style.touchAction=_,this.triggerEventHandlers(["touchstart","down","pointerdown","MSPointerDown"],[t]),!0)},pointerMoveListener:function(t){var e,i,r,o,n,a;if("touch"===this._getPointerInputDevice(t)&&!this._isPointerRegistered(t))return this.BOARD_MODE_NONE;if(!this.checkFrameRate(t))return!1;if(this.mode!==this.BOARD_MODE_DRAG&&(this.dehighlightAll(),this.displayInfobox(!1)),this.mode!==this.BOARD_MODE_NONE&&(t.preventDefault(),t.stopPropagation()),this.updateQuality=this.BOARD_QUALITY_LOW,this._inputDevice=this._getPointerInputDevice(t),a=this._inputDevice,this.options.precision.hasPoint=this.options.precision[a],o=.3333*this.options.precision.hasPoint,r=this.getMousePosition(t),null===s.Z.evaluate(this.attr.movetarget)&&r[0]<=o||r[1]<=o||r[0]>=this.canvasWidth-o||r[1]>=this.canvasHeight-o)return this.mode===this.BOARD_MODE_NONE;if(this.selectingMode)this._moveSelecting(r),this.triggerEventHandlers(["touchmoveselecting","moveselecting","pointermoveselecting"],[t,this.mode]);else if(!this.mouseOriginMove(t))if(this.mode===this.BOARD_MODE_DRAG){for(e=0;e<this.touches.length;e++)for(n=this.touches[e].targets,i=0;i<n.length;i++)if(n[i].num===t.pointerId){n[i].X=r[0],n[i].Y=r[1],1===n.length?this.moveObject(r[0],r[1],this.touches[e],t,a):2===n.length&&(this.twoFingerMove(this.touches[e],t.pointerId,t),n[i].Xprev=r[0],n[i].Yprev=r[1]);break}}else"touch"===this._getPointerInputDevice(t)&&(this._pointerStorePosition(t),2===this._board_touches.length&&(t.touches=this._board_touches,this.gestureChangeListener(t))),this.highlightElements(r[0],r[1],t,-1);return this.triggerEventHandlers(["pointermove","MSPointerMove","move"],[t,this.mode]),this.updateQuality=this.BOARD_QUALITY_HIGH,this.mode===this.BOARD_MODE_NONE},pointerUpListener:function(t){var i,r,o,n,a=!1;if(this.triggerEventHandlers(["touchend","up","pointerup","MSPointerUp"],[t]),this.displayInfobox(!1),t)for(i=0;i<this.touches.length;i++)for(n=this.touches[i].targets,r=0;r<n.length;r++)if(n[r].num===t.pointerId){n.splice(r,1),0===n.length&&this.touches.splice(i,1);break}if(this.originMoveEnd(),this.update(),this.selectingMode)this._stopSelecting(t),this.triggerEventHandlers(["touchstopselecting","pointerstopselecting","stopselecting"],[t]),this.stopSelectionMode();else for(i=this.downObjects.length-1;i>-1;i--){for(o=!1,r=0;r<this.touches.length;r++)this.touches[r].obj.id===this.downObjects[i].id&&(o=!0);o||(this.downObjects[i].triggerEventHandlers(["touchend","up","pointerup","MSPointerUp"],[t]),s.Z.exists(this.downObjects[i].coords)||(this.downObjects[i].snapToGrid(),this.downObjects[i].snapToPoints(),a=!0),this.downObjects.splice(i,1))}return this.hasPointerUp&&(window.navigator.msPointerEnabled?e.Z.removeEvent(this.document,"MSPointerUp",this.pointerUpListener,this):(e.Z.removeEvent(this.document,"pointerup",this.pointerUpListener,this),e.Z.removeEvent(this.document,"pointercancel",this.pointerUpListener,this)),this.hasPointerUp=!1),this._pointerClearTouches(t.pointerId),"touch"!==this._getPointerInputDevice(t)&&this.dehighlightAll(),a&&this.update(),!0},pointerLeaveListener:function(t){return this.displayInfobox(!1),this.dehighlightAll(),!0},touchStartListener:function(r){var o,n,a,h,l,c,d,u,p,f,_=this.options.precision.touch,g=r[t.Z.touchProperty];for(this.hasTouchEnd||(e.Z.addEvent(this.document,"touchend",this.touchEndListener,this),this.hasTouchEnd=!0),this.document.selection&&s.Z.isFunction(this.document.selection.empty)?this.document.selection.empty():window.getSelection&&window.getSelection().removeAllRanges(),this._inputDevice="touch",this.options.precision.hasPoint=this.options.precision.touch,o=0;o<g.length;o++)g[o].jxg_isused=!1;for(o=0;o<this.touches.length;o++)for(f=this.touches[o].targets,h=0;h<f.length;h++){f[h].num=-1,_=this.options.precision.touch;do{for(l=0;l<g.length;l++)if(Math.abs(Math.pow(g[l].screenX-f[h].X,2)+Math.pow(g[l].screenY-f[h].Y,2))<_*_){f[h].num=l,f[h].X=g[l].screenX,f[h].Y=g[l].screenY,g[l].jxg_isused=!0;break}_*=2}while(-1===f[h].num&&_<this.options.precision.touchMax);-1===f[h].num&&(t.Z.debug("i couldn't find a targettouches for target no "+h+" on "+this.touches[o].obj.name+" ("+this.touches[o].obj.id+"). Removed the target."),t.Z.debug("eps = "+_+", touchMax = "+N.Z.precision.touchMax),f.splice(o,1))}for(o=0;o<g.length;o++)if(!g[o].jxg_isused){if(n=this.getMousePosition(r,o),this.selectingMode)return this._startSelecting(n),this.triggerEventHandlers(["touchstartselecting","startselecting"],[r]),r.preventDefault(),r.stopPropagation(),this.options.precision.hasPoint=this.options.precision.mouse,this.touches.length>0;if(0!==(a=this.initMoveObject(n[0],n[1],r,"touch")).length)if(c=a[a.length-1],p={num:o,X:g[o].screenX,Y:g[o].screenY,Xprev:NaN,Yprev:NaN,Xstart:[],Ystart:[],Zstart:[]},s.Z.isPoint(c)||c.elementClass===i.Z.OBJECT_CLASS_TEXT||c.type===i.Z.OBJECT_TYPE_TICKS||c.type===i.Z.OBJECT_TYPE_IMAGE)u=[p],this.saveStartPos(c,u[0]),this.touches.push({obj:c,targets:u}),c.highlight(!0);else if(c.elementClass===i.Z.OBJECT_CLASS_LINE||c.elementClass===i.Z.OBJECT_CLASS_CIRCLE||c.elementClass===i.Z.OBJECT_CLASS_CURVE||c.type===i.Z.OBJECT_TYPE_POLYGON){for(d=!1,h=0;h<this.touches.length;h++)c.id===this.touches[h].obj.id&&(d=!0,1===this.touches[h].targets.length&&(this.saveStartPos(c,p),this.touches[h].targets.push(p)),g[o].jxg_isused=!0);d||(u=[p],this.saveStartPos(c,u[0]),this.touches.push({obj:c,targets:u}),c.highlight(!0))}g[o].jxg_isused=!0}return this.touches.length>0&&(r.preventDefault(),r.stopPropagation()),1===g.length&&this.mode===this.BOARD_MODE_NONE&&this.touchStartMoveOriginOneFinger(r)||2!==g.length||this.mode!==this.BOARD_MODE_NONE&&this.mode!==this.BOARD_MODE_MOVE_ORIGIN||(this.mode===this.BOARD_MODE_MOVE_ORIGIN&&this.originMoveEnd(),this.gestureStartListener(r)),this.options.precision.hasPoint=this.options.precision.mouse,this.triggerEventHandlers(["touchstart","down"],[r]),!1},touchMoveListener:function(e){var i,s,r,o,n=e[t.Z.touchProperty];if(!this.checkFrameRate(e))return!1;if(this.mode!==this.BOARD_MODE_NONE&&(e.preventDefault(),e.stopPropagation()),this.mode!==this.BOARD_MODE_DRAG&&(this.dehighlightAll(),this.displayInfobox(!1)),this._inputDevice="touch",this.options.precision.hasPoint=this.options.precision.touch,this.updateQuality=this.BOARD_QUALITY_LOW,this.selectingMode){for(i=0;i<n.length;i++)if(!n[i].jxg_isused){s=this.getMousePosition(e,i),this._moveSelecting(s),this.triggerEventHandlers(["touchmoves","moveselecting"],[e,this.mode]);break}}else if(!this.touchOriginMove(e))if(this.mode===this.BOARD_MODE_DRAG){for(i=0;i<this.touches.length;i++)if(1===(o=this.touches[i].targets).length){if(n[o[0].num]){if((s=this.getMousePosition(e,o[0].num))[0]<0||s[0]>this.canvasWidth||s[1]<0||s[1]>this.canvasHeight)return;o[0].X=s[0],o[0].Y=s[1],this.moveObject(s[0],s[1],this.touches[i],e,"touch")}}else if(2===o.length&&o[0].num>-1&&o[1].num>-1&&n[o[0].num]&&n[o[1].num]){if(s=this.getMousePosition(e,o[0].num),r=this.getMousePosition(e,o[1].num),s[0]<0||s[0]>this.canvasWidth||s[1]<0||s[1]>this.canvasHeight||r[0]<0||r[0]>this.canvasWidth||r[1]<0||r[1]>this.canvasHeight)return;o[0].X=s[0],o[0].Y=s[1],o[1].X=r[0],o[1].Y=r[1],this.twoFingerMove(this.touches[i],o[0].num,e),o[0].Xprev=s[0],o[0].Yprev=s[1],o[1].Xprev=r[0],o[1].Yprev=r[1]}}else 2===n.length&&this.gestureChangeListener(e),s=this.getMousePosition(e,0),this.highlightElements(s[0],s[1],e,-1);return this.mode!==this.BOARD_MODE_DRAG&&this.displayInfobox(!1),this.triggerEventHandlers(["touchmove","move"],[e,this.mode]),this.options.precision.hasPoint=this.options.precision.mouse,this.updateQuality=this.BOARD_QUALITY_HIGH,this.mode===this.BOARD_MODE_NONE},touchEndListener:function(r){var o,n,a,h,l,c,d=this.options.precision.touch,u=[],p=r&&r[t.Z.touchProperty],f=!1;if(this.triggerEventHandlers(["touchend","up"],[r]),this.displayInfobox(!1),this.selectingMode)this._stopSelecting(r),this.triggerEventHandlers(["touchstopselecting","stopselecting"],[r]),this.stopSelectionMode();else if(p&&p.length>0){for(o=0;o<this.touches.length;o++)u[o]=this.touches[o];for(this.touches.length=0,o=0;o<p.length;o++)p[o].jxg_isused=!1;for(o=0;o<u.length;o++){for(h=!1,l=0,c=u[o].targets,n=0;n<c.length;n++)for(c[n].found=!1,a=0;a<p.length;a++)if(Math.abs(Math.pow(p[a].screenX-c[n].X,2)+Math.pow(p[a].screenY-c[n].Y,2))<d*d){c[n].found=!0,c[n].num=a,c[n].X=p[a].screenX,c[n].Y=p[a].screenY,l+=1;break}if(s.Z.isPoint(u[o].obj)?h=c[0]&&c[0].found:u[o].obj.elementClass===i.Z.OBJECT_CLASS_LINE?h=c[0]&&c[0].found||c[1]&&c[1].found:u[o].obj.elementClass===i.Z.OBJECT_CLASS_CIRCLE&&(h=1===l||3===l),h)for(this.touches.push({obj:u[o].obj,targets:[]}),n=0;n<c.length;n++)c[n].found&&this.touches[this.touches.length-1].targets.push({num:c[n].num,X:c[n].screenX,Y:c[n].screenY,Xprev:NaN,Yprev:NaN,Xstart:c[n].Xstart,Ystart:c[n].Ystart,Zstart:c[n].Zstart});else u[o].obj.noHighlight()}}else this.touches.length=0;for(o=this.downObjects.length-1;o>-1;o--){for(h=!1,n=0;n<this.touches.length;n++)this.touches[n].obj.id===this.downObjects[o].id&&(h=!0);h||(this.downObjects[o].triggerEventHandlers(["touchup","up"],[r]),s.Z.exists(this.downObjects[o].coords)||(this.downObjects[o].snapToGrid(),this.downObjects[o].snapToPoints(),f=!0),this.downObjects.splice(o,1))}return p&&0!==p.length||(this.hasTouchEnd&&(e.Z.removeEvent(this.document,"touchend",this.touchEndListener,this),this.hasTouchEnd=!1),this.dehighlightAll(),this.updateQuality=this.BOARD_QUALITY_HIGH,this.originMoveEnd(),f&&this.update()),!0},mouseDownListener:function(t){var i,r,o;if(this.document.selection&&s.Z.isFunction(this.document.selection.empty)?this.document.selection.empty():window.getSelection&&window.getSelection().removeAllRanges(),!this.hasMouseUp)return e.Z.addEvent(this.document,"mouseup",this.mouseUpListener,this),this.hasMouseUp=!0,this._inputDevice="mouse",this.options.precision.hasPoint=this.options.precision.mouse,i=this.getMousePosition(t),this._testForSelection(t),this.selectingMode?(this._startSelecting(i),void this.triggerEventHandlers(["mousestartselecting","startselecting"],[t])):(0===(r=this.initMoveObject(i[0],i[1],t,"mouse")).length?(this.mode=this.BOARD_MODE_NONE,o=!0):(this.mouse={obj:null,targets:[{X:i[0],Y:i[1],Xprev:NaN,Yprev:NaN}]},this.mouse.obj=r[r.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&&(o=this.mouseOriginMoveStart(t)),this.triggerEventHandlers(["mousedown","down"],[t]),o)},mouseMoveListener:function(t){var e;if(!this.checkFrameRate(t))return!1;e=this.getMousePosition(t),this.updateQuality=this.BOARD_QUALITY_LOW,this.mode!==this.BOARD_MODE_DRAG&&(this.dehighlightAll(),this.displayInfobox(!1)),this.selectingMode?(this._moveSelecting(e),this.triggerEventHandlers(["mousemoveselecting","moveselecting"],[t,this.mode])):this.mouseOriginMove(t)||(this.mode===this.BOARD_MODE_DRAG?this.moveObject(e[0],e[1],this.mouse,t,"mouse"):this.highlightElements(e[0],e[1],t,-1),this.triggerEventHandlers(["mousemove","move"],[t,this.mode])),this.updateQuality=this.BOARD_QUALITY_HIGH},mouseUpListener:function(t){var i;if(!1===this.selectingMode&&this.triggerEventHandlers(["mouseup","up"],[t]),this.updateQuality=this.BOARD_QUALITY_HIGH,this.mouse&&this.mouse.obj&&(s.Z.exists(this.mouse.obj.coords)||(this.mouse.obj.snapToGrid(this.mouse.targets[0]),this.mouse.obj.snapToPoints())),this.originMoveEnd(),this.dehighlightAll(),this.update(),this.selectingMode)this._stopSelecting(t),this.triggerEventHandlers(["mousestopselecting","stopselecting"],[t]),this.stopSelectionMode();else for(i=0;i<this.downObjects.length;i++)this.downObjects[i].triggerEventHandlers(["mouseup","up"],[t]);this.downObjects.length=0,this.hasMouseUp&&(e.Z.removeEvent(this.document,"mouseup",this.mouseUpListener,this),this.hasMouseUp=!1),this.mouse=null},mouseWheelListener:function(t){if(!this.attr.zoom.enabled||!this.attr.zoom.wheel||!this._isRequiredKeyPressed(t,"zoom"))return!0;var e=(t=t||window.event).detail?-t.detail:t.wheelDelta/40,s=new u.Z(i.Z.COORDS_BY_SCREEN,this.getMousePosition(t),this);return e>0?this.zoomIn(s.usrCoords[1],s.usrCoords[2]):this.zoomOut(s.usrCoords[1],s.usrCoords[2]),this.triggerEventHandlers(["mousewheel"],[t]),t.preventDefault(),!1},keyDownListener:function(e){var r,o,n,a,h,l,c=e.target.id,d=0,u=0,p=s.Z.evaluate(this.attr.keyboard.dx)/this.unitX,f=s.Z.evaluate(this.attr.keyboard.dy)/this.unitY,_=!1,g=!0;return!(!this.attr.keyboard.enabled||""===c)&&((!(a=this.containerObj.shadowRoot||document).activeElement||"INPUT"!==(o=a.activeElement).tagName&&"textarea"!==o.tagName)&&(r=c.replace(this.containerObj.id+"_",""),o=this.select(r),s.Z.exists(o.coords)&&(l=o.coords.usrCoords.slice(1)),s.Z.evaluate(this.attr.keyboard.panshift)&&e.shiftKey||s.Z.evaluate(this.attr.keyboard.panctrl)&&e.ctrlKey?(!0===s.Z.evaluate(this.attr.zoom.enabled)&&(_=!0),38===e.keyCode?this.clickUpArrow():40===e.keyCode?this.clickDownArrow():37===e.keyCode?this.clickLeftArrow():39===e.keyCode?this.clickRightArrow():_&&171===e.keyCode?this.zoomIn():_&&173===e.keyCode?this.zoomOut():_&&79===e.keyCode?this.zoom100():g=!1):(s.Z.exists(o.visProp)&&(s.Z.exists(o.visProp.snaptogrid)&&o.visProp.snaptogrid&&s.Z.evaluate(o.visProp.snapsizex)&&s.Z.evaluate(o.visProp.snapsizey)?(p=d=(n=o.getSnapSizes())[0],f=u=n[1]):s.Z.exists(o.visProp.attracttogrid)&&o.visProp.attracttogrid&&s.Z.evaluate(o.visProp.attractordistance)&&s.Z.evaluate(o.visProp.attractorunit)&&(u=d=1.1*s.Z.evaluate(o.visProp.attractordistance),"screen"===s.Z.evaluate(o.visProp.attractorunit)&&(d/=this.unitX,u/=this.unitX),p=Math.max(d,p),f=Math.max(u,f))),38===e.keyCode?h=[0,f]:40===e.keyCode?h=[0,-f]:37===e.keyCode?h=[-p,0]:39===e.keyCode?h=[p,0]:g=!1,h&&o.isDraggable&&o.visPropCalc.visible&&(this.geonextCompatibilityMode&&(s.Z.isPoint(o)||o.elementClass===i.Z.OBJECT_CLASS_TEXT)||!this.geonextCompatibilityMode)&&!s.Z.evaluate(o.visProp.fixed)&&(this.mode=this.BOARD_MODE_DRAG,s.Z.exists(o.coords)&&(h[0]+=l[0],h[1]+=l[1]),s.Z.exists(o.coords)?(o.setPosition(t.Z.COORDS_BY_USER,h),this.updateInfobox(o)):(this.displayInfobox(!1),o.setPositionDirectly(i.Z.COORDS_BY_USER,h,[0,0])),this.triggerEventHandlers(["keymove","move"],[e,this.mode]),o.triggerEventHandlers(["keydrag","drag"],[e]),this.mode=this.BOARD_MODE_NONE)),this.update(),g&&s.Z.exists(e.preventDefault)&&e.preventDefault(),g))},keyFocusInListener:function(t){var e,i,r=t.target.id;if(!this.attr.keyboard.enabled||""===r)return!1;e=r.replace(this.containerObj.id+"_",""),i=this.select(e),s.Z.exists(i.highlight)&&(i.highlight(!0),this.focusObjects=[e],i.triggerEventHandlers(["hit"],[t])),s.Z.exists(i.coords)&&this.updateInfobox(i)},keyFocusOutListener:function(t){if(!this.attr.keyboard.enabled)return!1;this.focusObjects=[],this.dehighlightAll(),this.displayInfobox(!1)},updateContainerDims:function(){var t,e,i,r,o,n;t=(i=this.containerObj.getBoundingClientRect()).width,e=i.height,window&&window.getComputedStyle&&(r=window.getComputedStyle(this.containerObj,null),o=parseFloat(r.getPropertyValue("border-left-width"))+parseFloat(r.getPropertyValue("border-right-width")),isNaN(o)||(t-=o),n=parseFloat(r.getPropertyValue("border-top-width"))+parseFloat(r.getPropertyValue("border-bottom-width")),isNaN(n)||(e-=n)),t<=0||e<=0||isNaN(t)||isNaN(e)||(isNaN(this.getBoundingBox()[0])&&this.setBoundingBox(this.attr.boundingbox,this.keepaspectratio,"keep"),s.Z.exists(this._prevDim)&&this._prevDim.w===t&&this._prevDim.h===e||(this.resizeContainer(t,e,!0),this._prevDim={w:t,h:e}))},startResizeObserver:function(){var t=this;e.Z.isBrowser&&this.attr.resize&&this.attr.resize.enabled&&(this.resizeObserver=new ResizeObserver((function(e){t._isResizing||(t._isResizing=!0,window.setTimeout((function(){try{t.updateContainerDims()}catch(e){t.stopResizeObserver()}finally{t._isResizing=!1}}),t.attr.resize.throttle))})),this.resizeObserver.observe(this.containerObj))},stopResizeObserver:function(){e.Z.isBrowser&&this.attr.resize&&this.attr.resize.enabled&&s.Z.exists(this.resizeObserver)&&this.resizeObserver.unobserve(this.containerObj)},resizeListener:function(){var t=this;e.Z.isBrowser&&this.attr.resize&&this.attr.resize.enabled&&(this._isScrolling||this._isResizing||(this._isResizing=!0,window.setTimeout((function(){t.updateContainerDims(),t._isResizing=!1}),this.attr.resize.throttle)))},scrollListener:function(t){var i=this;e.Z.isBrowser&&(this._isScrolling||(this._isScrolling=!0,window.setTimeout((function(){i._isScrolling=!1}),66)))},startIntersectionObserver:function(){var e=this;try{this.intersectionObserver=new IntersectionObserver((function(t){isNaN(e.getBoundingBox()[0])&&e.updateContainerDims()}),{root:null,rootMargin:"0px",threshold:.8}),this.intersectionObserver.observe(e.containerObj)}catch(e){t.Z.debug("JSXGraph: IntersectionObserver not available in this browser.")}},stopIntersectionObserver:function(){s.Z.exists(this.intersectionObserver)&&this.intersectionObserver.unobserve(this.containerObj)},initInfobox:function(t){var e=s.Z.copyAttributes(t,this.options,"infobox");return e.id=this.id+"_infobox",this.infobox=this.create("text",[0,0,"0,0"],e),this.infobox.dump=!1,this.displayInfobox(!1),this},updateInfobox:function(t){var e,i,r,o,n,a,h,l=s.Z.evaluate(t.visProp.showinfobox);return!s.Z.evaluate(this.attr.showinfobox)&&"inherit"===l||!l||s.Z.isPoint(t)&&(r=t.coords.usrCoords[1],o=t.coords.usrCoords[2],a=s.Z.evaluate(this.infobox.visProp.distancex),h=s.Z.evaluate(this.infobox.visProp.distancey),this.infobox.setCoords(r+a/this.unitX,o+h/this.unitY),n=s.Z.evaluate(t.visProp.infoboxdigits),"string"!=typeof t.infoboxText?("auto"===n?this.infobox.useLocale()?(e=this.infobox.formatNumberLocale(r),i=this.infobox.formatNumberLocale(o)):(e=s.Z.autoDigits(r),i=s.Z.autoDigits(o)):s.Z.isNumber(n)?this.infobox.useLocale()?(e=this.infobox.formatNumberLocale(r,n),i=this.infobox.formatNumberLocale(o,n)):(e=s.Z.toFixed(r,n),i=s.Z.toFixed(o,n)):(e=r,i=o),this.highlightInfobox(e,i,t)):this.highlightCustomInfobox(t.infoboxText,t),this.displayInfobox(!0)),this},displayInfobox:function(t){return!t&&this.focusObjects.length>0&&this.select(this.focusObjects[0]).elementClass===i.Z.OBJECT_CLASS_POINT||this.infobox.hiddenByParent===t&&(this.infobox.hiddenByParent=!t,this.infobox.prepareUpdate().updateVisibility(t).updateRenderer()),this},showInfobox:function(t){return this.displayInfobox(t)},highlightInfobox:function(t,e,i){return this.highlightCustomInfobox("("+t+", "+e+")",i),this},highlightCustomInfobox:function(t,e){return this.infobox.setText(t),this},dehighlightAll:function(){var t,e,i={},s=!1;for(t in this.highlightedObjects)this.highlightedObjects.hasOwnProperty(t)&&(e=this.highlightedObjects[t],this.focusObjects.indexOf(t)<0?((this.hasMouseHandlers||this.hasPointerHandlers)&&e.noHighlight(),s=!0):i[t]=e);return this.highlightedObjects=i,"canvas"===this.renderer.type&&s&&(this.prepareUpdate(),this.renderer.suspendRedraw(this),this.updateRenderer(),this.renderer.unsuspendRedraw()),this},getScrCoordsOfMouse:function(t,e){return[t,e]},getUsrCoordsOfMouse:function(t){var s=this.getCoordsTopLeftCorner(),r=e.Z.getPosition(t,null,this.document),o=r[0]-s[0],n=r[1]-s[1];return new u.Z(i.Z.COORDS_BY_SCREEN,[o,n],this).usrCoords.slice(1)},getAllUnderMouse:function(t){var e=this.getAllObjectsUnderMouse(t);return e.push(this.getUsrCoordsOfMouse(t)),e},getAllObjectsUnderMouse:function(t){var i,s,r=this.getCoordsTopLeftCorner(),o=e.Z.getPosition(t,null,this.document),n=o[0]-r[0],a=o[1]-r[1],h=[],l=this.objectsList.length;for(i=0;i<l;i++)(s=this.objectsList[i]).visPropCalc.visible&&s.hasPoint&&s.hasPoint(n,a)&&(h[h.length]=s);return h},updateCoords:function(){var t,e,i=this.objectsList.length;for(e=0;e<i;e++)t=this.objectsList[e],s.Z.exists(t.coords)&&(s.Z.evaluate(t.visProp.frozen)?t.is3D?t.element2D.coords.screen2usr():t.coords.screen2usr():t.is3D?t.element2D.coords.usr2screen():t.coords.usr2screen());return this},moveOrigin:function(t,e,r){var o,n,a,h;return s.Z.exists(t)&&s.Z.exists(e)&&(o=this.origin.scrCoords[1],n=this.origin.scrCoords[2],this.origin.scrCoords[1]=t,this.origin.scrCoords[2]=e,r&&(this.origin.scrCoords[1]-=this.drag_dx,this.origin.scrCoords[2]-=this.drag_dy),a=new u.Z(i.Z.COORDS_BY_SCREEN,[0,0],this).usrCoords,h=new u.Z(i.Z.COORDS_BY_SCREEN,[this.canvasWidth,this.canvasHeight],this).usrCoords,(a[1]<this.maxboundingbox[0]||a[2]>this.maxboundingbox[1]||h[1]>this.maxboundingbox[2]||h[2]<this.maxboundingbox[3])&&(this.origin.scrCoords[1]=o,this.origin.scrCoords[2]=n)),this.updateCoords().clearTraces().fullUpdate(),this.triggerEventHandlers(["boundingbox"]),this},addConditions:function(e){var r,o,n,a,h,l,c,d=[],u=e.indexOf("<data>"),p=e.indexOf("</data>"),f=function(t,e,s,r){return function(){var o,n;n=(o=t.select(e.id)).coords.usrCoords[r],2===r?o.setPositionDirectly(i.Z.COORDS_BY_USER,[s(),n]):o.setPositionDirectly(i.Z.COORDS_BY_USER,[n,s()]),o.prepareUpdate().update()}},_=function(t,e,i){return function(){var s,r;s=t.select(e.id),r=i(),s.setAttribute({visible:r})}},g=function(t,e,i,s){return function(){var r,o;r=t.select(e.id),o=i(),"strokewidth"===s?r.visProp.strokewidth=o:(o=k.Z.rgba2rgbo(o),r.visProp[s+"color"]=o[0],r.visProp[s+"opacity"]=o[1])}},m=function(t,e,i){return function(){t.select(e.id).position=i()}},b=function(t,e,i){return function(){t.select(e.id).setStyle(i())}};if(!(u<0)){for(;u>=0;){if(o=(r=e.slice(u+6,p)).indexOf("="),n=r.slice(0,o),a=r.slice(o+1),o=n.indexOf("."),h=n.slice(0,o),l=this.elementsByName[s.Z.unescapeHTML(h)],c=n.slice(o+1).replace(/\s+/g,"").toLowerCase(),a=s.Z.createFunction(a,this,"",!0),s.Z.exists(this.elementsByName[h]))switch(c){case"x":d.push(f(this,l,a,2));break;case"y":d.push(f(this,l,a,1));break;case"visible":d.push(_(this,l,a));break;case"position":d.push(m(this,l,a));break;case"stroke":d.push(g(this,l,a,"stroke"));break;case"style":d.push(b(this,l,a));break;case"strokewidth":d.push(g(this,l,a,"strokewidth"));break;case"fill":d.push(g(this,l,a,"fill"));break;case"label":break;default:t.Z.debug('property "'+c+'" in conditions not yet implemented:'+a)}else t.Z.debug("debug conditions: |"+h+"| undefined");u=(e=e.slice(p+7)).indexOf("<data>"),p=e.indexOf("</data>")}this.updateConditions=function(){var t;for(t=0;t<d.length;t++)d[t]();return this.prepareUpdate().updateElements(),!0},this.updateConditions()}},updateConditions:function(){return!1},calculateSnapSizes:function(){var t=new u.Z(i.Z.COORDS_BY_USER,[0,0],this),e=new u.Z(i.Z.COORDS_BY_USER,[this.options.grid.gridX,this.options.grid.gridY],this),s=t.scrCoords[1]-e.scrCoords[1],r=t.scrCoords[2]-e.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(r)>25;)this.options.grid.snapSizeY*=2,r/=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,o=this.attr.zoom.factory,n=(i[2]-i[0])*(1-1/r),a=(i[1]-i[3])*(1-1/o),h=.5,l=.5,c=this.attr.zoom.eps||this.attr.zoom.min||.001;return this.zoomX>this.attr.zoom.max&&r>1||this.zoomY>this.attr.zoom.max&&o>1||this.zoomX<c&&r<1||this.zoomY<c&&o<1?this:(s.Z.isNumber(t)&&s.Z.isNumber(e)&&(h=(t-i[0])/(i[2]-i[0]),l=(i[1]-e)/(i[1]-i[3])),this.setBoundingBox([i[0]+n*h,i[1]-a*l,i[2]-n*(1-h),i[3]+a*(1-l)],this.keepaspectratio,"update"),this.applyZoom())},zoomOut:function(t,e){var i=this.getBoundingBox(),r=this.attr.zoom.factorx,o=this.attr.zoom.factory,n=(i[2]-i[0])*(1-r),a=(i[1]-i[3])*(1-o),h=.5,l=.5,c=this.attr.zoom.eps||this.attr.zoom.min||.001;return this.zoomX<c||this.zoomY<c?this:(s.Z.isNumber(t)&&s.Z.isNumber(e)&&(h=(t-i[0])/(i[2]-i[0]),l=(i[1]-e)/(i[1]-i[3])),this.setBoundingBox([i[0]+n*h,i[1]-a*l,i[2]-n*(1-h),i[3]+a*(1-l)],this.keepaspectratio,"update"),this.applyZoom())},zoom100:function(){var t,e,i;return s.Z.exists(this.attr.boundingbox)?this.setBoundingBox(this.attr.boundingbox,this.keepaspectratio,"reset"):(e=((t=this.getBoundingBox())[2]-t[0])*(1-this.zoomX)*.5,i=(t[1]-t[3])*(1-this.zoomY)*.5,this.setBoundingBox([t[0]+e,t[1]-i,t[2]-e,t[3]+i],this.keepaspectratio,"reset")),this.applyZoom()},zoomAllPoints:function(){var t,e,i,r,o=0,n=0,a=0,h=0,l=this.objectsList.length;for(t=0;t<l;t++)r=this.objectsList[t],s.Z.isPoint(r)&&r.visPropCalc.visible&&(r.coords.usrCoords[1]<o?o=r.coords.usrCoords[1]:r.coords.usrCoords[1]>n&&(n=r.coords.usrCoords[1]),r.coords.usrCoords[2]>h?h=r.coords.usrCoords[2]:r.coords.usrCoords[2]<a&&(a=r.coords.usrCoords[2]));return 50,e=50/this.unitX,i=50/this.unitY,this.setBoundingBox([o-e,h+i,n+e,a-i],this.keepaspectratio,"update"),this.applyZoom()},zoomElements:function(t){var e,i,r,o,n,a,h,l=[1/0,-1/0,-1/0,1/0];if(!s.Z.isArray(t)||0===t.length)return this;for(e=0;e<t.length;e++)i=this.select(t[e]).bounds(),s.Z.isArray(i)&&(i[0]<l[0]&&(l[0]=i[0]),i[1]>l[1]&&(l[1]=i[1]),i[2]>l[2]&&(l[2]=i[2]),i[3]<l[3]&&(l[3]=i[3]));return s.Z.isArray(l)&&(r=.5*(l[0]+l[2]),o=.5*(l[1]+l[3]),n=1.5*(l[2]-l[0])*.5,a=1.5*(l[1]-l[3])*.5,h=Math.max(n,a),this.setBoundingBox([r-h,o+h,r+h,o-h],this.keepaspectratio,"update")),this},setZoom:function(t,e){var i=this.attr.zoom.factorx,s=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=s,this},_removeObj:function(e,r){var o,n;if(s.Z.isArray(e)){for(n=0;n<e.length;n++)this._removeObj(e[n],r);return this}if(e=this.select(e),!s.Z.exists(e)||s.Z.isString(e))return this;try{for(o in e.childElements)e.childElements.hasOwnProperty(o)&&e.childElements[o].board._removeObj(e.childElements[o]);for(o in e.objects)e.objects.hasOwnProperty(o)&&e.objects[o].board._removeObj(e.objects[o]);if(r)for(o in this.objects)this.objects.hasOwnProperty(o)&&s.Z.exists(this.objects[o].childElements)&&s.Z.exists(this.objects[o].childElements.hasOwnProperty(e.id))&&(delete this.objects[o].childElements[e.id],delete this.objects[o].descendants[e.id]);else if(s.Z.exists(e.ancestors))for(o in e.ancestors)e.ancestors.hasOwnProperty(o)&&s.Z.exists(e.ancestors[o].childElements)&&s.Z.exists(e.ancestors[o].childElements.hasOwnProperty(e.id))&&(delete e.ancestors[o].childElements[e.id],delete e.ancestors[o].descendants[e.id]);if(e._pos>-1)for(this.objectsList.splice(e._pos,1),n=e._pos;n<this.objectsList.length;n++)this.objectsList[n]._pos--;else e.type!==i.Z.OBJECT_TYPE_TURTLE&&t.Z.debug("Board.removeObject: object "+e.id+" not found in list.");delete this.objects[e.id],delete this.elementsByName[e.name],e.visProp&&s.Z.evaluate(e.visProp.trace)&&e.clearTrace(),s.Z.exists(e.remove)&&e.remove()}catch(i){t.Z.debug(e.id+": Could not be removed: "+i)}return this},removeObject:function(t,e){var i;if(this.renderer.suspendRedraw(this),s.Z.isArray(t))for(i=0;i<t.length;i++)this._removeObj(t[i],e);else this._removeObj(t,e);return this.renderer.unsuspendRedraw(),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},resizeContainer:function(t,e,i,s){var r,n,a,h,l;return n=this.canvasWidth,a=this.canvasHeight,s||(r=this.getBoundingBox()),this.canvasWidth=Math.max(parseFloat(t),o.Z.eps),this.canvasHeight=Math.max(parseFloat(e),o.Z.eps),i||(this.containerObj.style.width=this.canvasWidth+"px",this.containerObj.style.height=this.canvasHeight+"px"),this.renderer.resize(this.canvasWidth,this.canvasHeight),s?(h=(this.canvasWidth-n)/2,l=(this.canvasHeight-a)/2,this.moveOrigin(this.origin.scrCoords[1]+h,this.origin.scrCoords[2]+l)):this.setBoundingBox(r,this.keepaspectratio,"keep"),this},showDependencies:function(){var t,e,i,s,r;for(t in e="<p>\n",this.objects)if(this.objects.hasOwnProperty(t)){for(i in r=0,this.objects[t].childElements)this.objects[t].childElements.hasOwnProperty(i)&&(r+=1);for(i in r>=0&&(e+="<strong>"+this.objects[t].id+":</strong> "),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",(s=window.open()).document.open(),s.document.write(e),s.document.close(),this},showXML:function(){var t=window.open("");return t.document.open(),t.document.write("<pre>"+s.Z.escapeHTML(this.xmlString)+"</pre>"),t.document.close(),this},prepareUpdate:function(){var t,e,i=this.objectsList.length;for(t=0;t<i;t++)(e=this.objectsList[t]).needsUpdate=e.needsRegularUpdate||this.needsFullUpdate;for(t in this.groups)this.groups.hasOwnProperty(t)&&((e=this.groups[t]).needsUpdate=e.needsRegularUpdate||this.needsFullUpdate);return this},updateElements:function(t){var e,r;for(t=this.select(t),e=0;e<this.objectsList.length;e++)r=this.objectsList[e],this.needsFullUpdate&&r.elementClass===i.Z.OBJECT_CLASS_TEXT&&r.updateSize(),r.update(!s.Z.exists(t)||r.id!==t.id).updateVisibility();for(e in this.groups)this.groups.hasOwnProperty(e)&&this.groups[e].update(t);return this},updateRenderer:function(){var t,e=this.objectsList.length;if(this.renderer){if("canvas"===this.renderer.type)this.updateRendererCanvas();else for(t=0;t<e;t++)this.objectsList[t].updateRenderer();return this}},updateRendererCanvas:function(){var t,e,i,s,r,o=this.objectsList.length,n=this.options.layer,a=this.options.layer.numlayers,h=Number.NEGATIVE_INFINITY;for(i=0;i<a;i++){for(r in s=Number.POSITIVE_INFINITY,n)n.hasOwnProperty(r)&&n[r]>h&&n[r]<s&&(s=n[r]);for(h=s,t=0;t<o;t++)(e=this.objectsList[t]).visProp.layer===s&&e.prepareUpdate().updateRenderer()}return this},addHook:function(e,i,r){return t.Z.deprecated("Board.addHook()","Board.on()"),i=s.Z.def(i,"update"),r=s.Z.def(r,this),this.hooks.push([i,e]),this.on(i,e,r),this.hooks.length-1},addEvent:t.Z.shortcut(t.Z.Board.prototype,"on"),removeHook:function(e){return t.Z.deprecated("Board.removeHook()","Board.off()"),this.hooks[e]&&(this.off(this.hooks[e][0],this.hooks[e][1]),this.hooks[e]=null),this},removeEvent:t.Z.shortcut(t.Z.Board.prototype,"off"),updateHooks:function(e){var i=Array.prototype.slice.call(arguments,0);return t.Z.deprecated("Board.updateHooks()","Board.triggerEventHandlers()"),i[0]=s.Z.def(i[0],"update"),this.triggerEventHandlers([i[0]],arguments),this},addChild:function(t){return s.Z.exists(t)&&s.Z.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,o,n;if(this.inUpdate||this.isSuspendedUpdate)return this;for(this.inUpdate=!0,"all"===this.attr.minimizereflow&&this.containerObj&&"vml"!==this.renderer.type&&(n=this.document.activeElement,o=this.renderer.removeToInsertLater(this.containerObj)),"svg"===this.attr.minimizereflow&&"svg"===this.renderer.type&&(n=this.document.activeElement,o=this.renderer.removeToInsertLater(this.renderer.svgRoot)),this.prepareUpdate().updateElements(t).updateConditions(),this.renderer.suspendRedraw(this),this.updateRenderer(),this.renderer.unsuspendRedraw(),this.triggerEventHandlers(["update"],[]),o&&(o(),n.focus()),i=this.dependentBoards.length,e=0;e<i;e++)r=this.dependentBoards[e],s.Z.exists(r)&&r!==this&&(r.updateQuality=this.updateQuality,r.prepareUpdate().updateElements().updateConditions(),r.renderer.suspendRedraw(this),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 o,n;for(e=e.toLowerCase(),s.Z.exists(i)||(i=[]),s.Z.exists(r)||(r={}),n=0;n<i.length;n++)!s.Z.isString(i[n])||"text"===e&&2===n||"solidofrevolution3d"===e&&2===n||!("input"!==e&&"checkbox"!==e&&"button"!==e||2!==n&&3!==n)||"curve"===e||"functiongraph"===e||(i[n]=this.select(i[n]));if(!s.Z.isFunction(t.Z.elements[e]))throw new Error("JSXGraph: create: Unknown element type given: "+e);return o=t.Z.elements[e](this,i,r),s.Z.exists(o)?(o.prepareUpdate&&o.update&&o.updateRenderer&&o.fullUpdate(),o):(t.Z.debug("JSXGraph: create: failure creating "+e),o)},createElement:function(){return t.Z.deprecated("Board.createElement()","Board.create()"),this.create.apply(this,arguments)},clearTraces:function(){var 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t;for(s=0;s<o;s++)r.push([t[s][0]+e,t[s][1]+i]);return r},drawPoint:function(t){var e=s.Z.evaluate(t.visProp.face),i=s.Z.evaluate(t.visProp.size),r=t.coords.scrCoords,o=i*Math.sqrt(3)*.5,n=.5*i,a=parseFloat(s.Z.evaluate(t.visProp.strokewidth))/2,h=this.context;if(t.visPropCalc.visible)switch(e){case"cross":case"x":h.beginPath(),h.moveTo(r[1]-i,r[2]-i),h.lineTo(r[1]+i,r[2]+i),h.moveTo(r[1]+i,r[2]-i),h.lineTo(r[1]-i,r[2]+i),h.lineCap="round",h.lineJoin="round",h.closePath(),this._stroke(t);break;case"circle":case"o":h.beginPath(),h.arc(r[1],r[2],i+1+a,0,2*Math.PI,!1),h.closePath(),this._fill(t),this._stroke(t);break;case"square":case"[]":if(i<=0)break;h.save(),this._setColor(t,"stroke","fill")&&h.fillRect(r[1]-i-a,r[2]-i-a,2*i+3*a,2*i+3*a),h.restore(),h.save(),this._setColor(t,"fill"),h.fillRect(r[1]-i+a,r[2]-i+a,2*i-a,2*i-a),h.restore();break;case"plus":case"+":h.beginPath(),h.moveTo(r[1]-i,r[2]),h.lineTo(r[1]+i,r[2]),h.moveTo(r[1],r[2]-i),h.lineTo(r[1],r[2]+i),h.lineCap="round",h.lineJoin="round",h.closePath(),this._stroke(t);break;case"divide":case"|":h.beginPath(),h.moveTo(r[1],r[2]-i),h.lineTo(r[1],r[2]+i),h.lineCap="round",h.lineJoin="round",h.closePath(),this._stroke(t);break;case"minus":case"-":h.beginPath(),h.moveTo(r[1]-i,r[2]),h.lineTo(r[1]+i,r[2]),h.lineCap="round",h.lineJoin="round",h.closePath(),this._stroke(t);break;case"diamond2":case"<<>>":i*=1.41;case"diamond":case"<>":h.beginPath(),h.moveTo(r[1]-i,r[2]),h.lineTo(r[1],r[2]+i),h.lineTo(r[1]+i,r[2]),h.lineTo(r[1],r[2]-i),h.closePath(),this._fill(t),this._stroke(t);break;case"triangleup":case"A":case"a":case"^":h.beginPath(),h.moveTo(r[1],r[2]-i),h.lineTo(r[1]-o,r[2]+n),h.lineTo(r[1]+o,r[2]+n),h.closePath(),this._fill(t),this._stroke(t);break;case"triangledown":case"v":h.beginPath(),h.moveTo(r[1],r[2]+i),h.lineTo(r[1]-o,r[2]-n),h.lineTo(r[1]+o,r[2]-n),h.closePath(),this._fill(t),this._stroke(t);break;case"triangleleft":case"<":h.beginPath(),h.moveTo(r[1]-i,r[2]),h.lineTo(r[1]+n,r[2]-o),h.lineTo(r[1]+n,r[2]+o),h.closePath(),this._fill(t),this._stroke(t);break;case"triangleright":case">":h.beginPath(),h.moveTo(r[1]+i,r[2]),h.lineTo(r[1]-n,r[2]-o),h.lineTo(r[1]-n,r[2]+o),h.closePath(),this._fill(t),this._stroke(t)}},updatePoint:function(t){this.drawPoint(t)},drawArrows:function(t,e,r,o,n){var a,h,l,c,d,u,p,f,_,g,m,b,v,Z,C,y,P,E,O,x,S=this.context,w=1,M=1,T=1,N=n.evFirst,A=n.evLast;if("none"!==s.Z.evaluate(t.visProp.strokecolor)&&(N||A)){if(t.elementClass===i.Z.OBJECT_CLASS_LINE)a=e.scrCoords[1],h=e.scrCoords[2],l=r.scrCoords[1],c=r.scrCoords[2],O=x=Math.atan2(c-h,l-a);else{if(a=t.points[0].scrCoords[1],h=t.points[0].scrCoords[2],(E=t.points.length-1)<1)return;l=t.points[t.points.length-1].scrCoords[1],c=t.points[t.points.length-1].scrCoords[2],Z=t.points[1].scrCoords[1]-t.points[0].scrCoords[1],C=t.points[1].scrCoords[2]-t.points[0].scrCoords[2],y=t.points[E].scrCoords[1]-t.points[E-1].scrCoords[1],P=t.points[E].scrCoords[2]-t.points[E-1].scrCoords[2],N&&(O=Math.atan2(C,Z)),A&&(x=Math.atan2(P,y))}if(d=s.Z.evaluate(t.visProp[o+"strokewidth"]),N)if(u=d*n.sizeFirst,_=w=n.typeFirst,2===w)f=[[u,.5*-u],[0,0],[u,.5*u],[.5*u,0]];else if(3===w)f=[[u/3,.5*-u],[0,.5*-u],[0,.5*u],[u/3,.5*u]];else if(4===w)for(u/=10,M=3,v=(f=[[10,3.31],[6.47,3.84],[2.87,4.5],[0,6.63],[.67,5.52],[1.33,4.42],[2,3.31],[1.33,2.21],[.67,1.1],[0,0],[2.87,2.13],[6.47,2.79],[10,3.31]]).length,b=0;b<v;b++)f[b][0]*=-u,f[b][1]*=u,f[b][0]+=10*u,f[b][1]-=3.31*u;else if(5===w)for(u/=10,M=3,v=(f=[[10,3.28],[6.61,4.19],[3.19,5.07],[0,6.55],[.62,5.56],[1,4.44],[1,3.28],[1,2.11],[.62,.99],[0,0],[3.19,1.49],[6.61,2.37],[10,3.28]]).length,b=0;b<v;b++)f[b][0]*=-u,f[b][1]*=u,f[b][0]+=10*u,f[b][1]-=3.28*u;else if(6===w)for(u/=10,M=3,v=(f=[[10,2.84],[6.61,3.59],[3.21,4.35],[0,5.68],[.33,4.73],[.67,3.78],[1,2.84],[.67,1.89],[.33,.95],[0,0],[3.21,1.33],[6.61,2.09],[10,2.84]]).length,b=0;b<v;b++)f[b][0]*=-u,f[b][1]*=u,f[b][0]+=10*u,f[b][1]-=2.84*u;else if(7===w)for(u=d,M=3,v=(f=[[0,10.39],[2.01,6.92],[5.96,5.2],[10,5.2],[5.96,5.2],[2.01,3.47],[0,0]]).length,b=0;b<v;b++)f[b][0]*=-u,f[b][1]*=u,f[b][0]+=10*u,f[b][1]-=5.2*u;else f=[[u,.5*-u],[0,0],[u,.5*u]];if(A)if(u=d*n.sizeLast,g=w=n.typeLast,2===w)p=[[-u,.5*-u],[0,0],[-u,.5*u],[.5*-u,0]];else if(3===w)p=[[-u/3,.5*-u],[0,.5*-u],[0,.5*u],[-u/3,.5*u]];else if(4===w)for(u/=10,T=3,v=(p=[[10,3.31],[6.47,3.84],[2.87,4.5],[0,6.63],[.67,5.52],[1.33,4.42],[2,3.31],[1.33,2.21],[.67,1.1],[0,0],[2.87,2.13],[6.47,2.79],[10,3.31]]).length,b=0;b<v;b++)p[b][0]*=u,p[b][1]*=u,p[b][0]-=10*u,p[b][1]-=3.31*u;else if(5===w)for(u/=10,T=3,v=(p=[[10,3.28],[6.61,4.19],[3.19,5.07],[0,6.55],[.62,5.56],[1,4.44],[1,3.28],[1,2.11],[.62,.99],[0,0],[3.19,1.49],[6.61,2.37],[10,3.28]]).length,b=0;b<v;b++)p[b][0]*=u,p[b][1]*=u,p[b][0]-=10*u,p[b][1]-=3.28*u;else if(6===w)for(u/=10,T=3,v=(p=[[10,2.84],[6.61,3.59],[3.21,4.35],[0,5.68],[.33,4.73],[.67,3.78],[1,2.84],[.67,1.89],[.33,.95],[0,0],[3.21,1.33],[6.61,2.09],[10,2.84]]).length,b=0;b<v;b++)p[b][0]*=u,p[b][1]*=u,p[b][0]-=10*u,p[b][1]-=2.84*u;else if(7===w)for(u=d,T=3,v=(p=[[0,10.39],[2.01,6.92],[5.96,5.2],[10,5.2],[5.96,5.2],[2.01,3.47],[0,0]]).length,b=0;b<v;b++)p[b][0]*=u,p[b][1]*=u,p[b][0]-=10*u,p[b][1]-=5.2*u;else p=[[-u,.5*-u],[0,0],[-u,.5*u]];S.save(),this._setColor(t,"stroke","fill")&&(this._setColor(t,"stroke"),N&&(m=7!==_,this._drawPolygon(this._translateShape(this._rotateShape(f,O),a,h),M,m)),A&&(m=7!==g,this._drawPolygon(this._translateShape(this._rotateShape(p,x),l,c),T,m))),S.restore()}},drawLine:function(t){var e,r,o,n,a,l=new u.Z(i.Z.COORDS_BY_USER,t.point1.coords.usrCoords,t.board),c=new u.Z(i.Z.COORDS_BY_USER,t.point2.coords.usrCoords,t.board),d=null;t.visPropCalc.visible&&(o=this._getHighlighted(t),n=s.Z.evaluate(t.visProp[o+"strokewidth"]),((a=this.getArrowHeadData(t,n,o)).evFirst||a.evLast)&&(d=-4),h.Z.calcStraight(t,l,c,d),this.handleTouchpoints(t,l,c,a),e=new u.Z(i.Z.COORDS_BY_USER,l.usrCoords,t.board),r=new u.Z(i.Z.COORDS_BY_USER,c.usrCoords,t.board),this.getPositionArrowHead(t,l,c,a),this.context.beginPath(),this.context.moveTo(l.scrCoords[1],l.scrCoords[2]),this.context.lineTo(c.scrCoords[1],c.scrCoords[2]),this._stroke(t),(a.evFirst||a.evLast)&&this.drawArrows(t,e,r,o,a))},updateLine:function(t){this.drawLine(t)},drawTicks:function(){},updateTicks:function(t){var e,i,s,r,o,n,a=t.ticks.length,h=this.context;for(h.beginPath(),e=0;e<a;e++)for(s=(i=t.ticks[e])[0],r=i[1],o=s.length,h.moveTo(s[0],r[0]),n=1;n<o;++n)h.lineTo(s[n],r[n]);h.lineCap="round",this._stroke(t)},drawCurve:function(t){var e,i,r;s.Z.evaluate(t.visProp.handdrawing)?this.updatePathStringBezierPrim(t):this.updatePathStringPrim(t),t.numberPoints>1&&(e=this._getHighlighted(t),i=s.Z.evaluate(t.visProp[e+"strokewidth"]),((r=this.getArrowHeadData(t,i,e)).evFirst||r.evLast)&&this.drawArrows(t,null,null,e,r))},updateCurve:function(t){this.drawCurve(t)},drawEllipse:function(t){var e=t.center.coords.scrCoords[1],i=t.center.coords.scrCoords[2],s=t.board.unitX,r=t.board.unitY,o=2*t.Radius(),n=2*t.Radius(),a=o*s,h=n*r,l=e-a/2,c=i-h/2,d=a/2*.5522848,u=h/2*.5522848,p=l+a,f=c+h,_=l+a/2,g=c+h/2,m=this.context;o>0&&n>0&&!isNaN(e+i)&&(m.beginPath(),m.moveTo(l,g),m.bezierCurveTo(l,g-u,_-d,c,_,c),m.bezierCurveTo(_+d,c,p,g-u,p,g),m.bezierCurveTo(p,g+u,_+d,f,_,f),m.bezierCurveTo(_-d,f,l,g+u,l,g),m.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=s.Z.evaluate(t.visProp.fontsize),i=s.Z.evaluate(t.visProp.fontunit),r=t.getAnchorX(),o=t.getAnchorY(),n=this.context;return n.save(),this._setColor(t,"stroke","fill")&&!isNaN(t.coords.scrCoords[1]+t.coords.scrCoords[2])&&(n.font=(e>0?e:0)+i+" 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this},updateRenderer:function(){return this.updateRendererGeneric("updatePoint"),this},bounds:function(){return this.coords.usrCoords.slice(1).concat(this.coords.usrCoords.slice(1))},makeIntersection:function(t,e,s,r){var o;t=this.board.select(t),e=this.board.select(e),o=h.Z.intersectionFunction(this.board,t,e,s,r,this.visProp.alwaysintersect),this.addConstraint([o]);try{t.addChild(this),e.addChild(this)}catch(i){throw new Error("JSXGraph: Can't create 'intersection' with parent types '"+typeof t+"' and '"+typeof e+"'.")}this.type=i.Z.OBJECT_TYPE_INTERSECTION,this.elType="intersection",this.parents=[t.id,e.id,s,r],this.generatePolynomial=function(){var i=t.generatePolynomial(this),s=e.generatePolynomial(this);return 0===i.length||0===s.length?[]:[i[0],s[0]]},this.prepareUpdate().update()},setStyle:function(t){return this.visProp.face=["cross","cross","cross","circle","circle","circle","circle","square","square","square","plus","plus","plus"][t],this.visProp.size=[2,3,4,1,2,3,4,2,3,4,2,3,4][t],this.board.renderer.changePointStyle(this),this},normalizeFace:function(e){return t.Z.deprecated("Point.normalizeFace()","JXG.normalizePointFace()"),N.Z.normalizePointFace(e)},face:function(e){t.Z.deprecated("Point.face()","Point.setAttribute()"),this.setAttribute({face:e})},size:function(e){t.Z.deprecated("Point.size()","Point.setAttribute()"),this.setAttribute({size:e})},isOn:function(e,r){var n,a;return r=r||o.Z.eps,s.Z.isPoint(e)?this.Dist(e)<r:e.elementClass===i.Z.OBJECT_CLASS_LINE?("segment"!==e.elType||s.Z.evaluate(this.visProp.alwaysintersect)||(n=t.Z.Math.Geometry.projectCoordsToSegment(this.coords.usrCoords,e.point1.coords.usrCoords,e.point2.coords.usrCoords))[1]>=0&&n[1]<=1)&&h.Z.distPointLine(this.coords.usrCoords,e.stdform)<r:e.elementClass===i.Z.OBJECT_CLASS_CIRCLE?s.Z.evaluate(e.visProp.hasinnerpoints)?this.Dist(e.center)<e.Radius()+r:Math.abs(this.Dist(e.center)-e.Radius())<r:e.elementClass===i.Z.OBJECT_CLASS_CURVE?(a=h.Z.projectPointToCurve(this,e,this.board)[0],h.Z.distance(this.coords.usrCoords,a.usrCoords,3)<r):e.type===i.Z.OBJECT_TYPE_POLYGON?!(!s.Z.evaluate(e.visProp.hasinnerpoints)||!e.pnpoly(this.coords.usrCoords[1],this.coords.usrCoords[2],t.Z.COORDS_BY_USER))||(n=h.Z.projectCoordsToPolygon(this.coords.usrCoords,e),h.Z.distance(this.coords.usrCoords,n,3)<r):e.type===i.Z.OBJECT_TYPE_TURTLE&&(a=h.Z.projectPointToTurtle(this,e,this.board),h.Z.distance(this.coords.usrCoords,a.usrCoords,3)<r)},cloneToBackground:function(){var t={};return t.id=this.id+"T"+this.numTraces,this.numTraces+=1,t.coords=this.coords,t.visProp=s.Z.deepCopy(this.visProp,this.visProp.traceattributes,!0),t.visProp.layer=this.board.options.layer.trace,t.elementClass=i.Z.OBJECT_CLASS_POINT,t.board=this.board,s.Z.clearVisPropOld(t),t.visPropCalc={visible:s.Z.evaluate(t.visProp.visible)},this.board.renderer.drawPoint(t),this.traces[t.id]=t.rendNode,this}}),t.Z.createPoint=function(e,i,r){var o,n;if(n=s.Z.copyAttributes(r,e.options,"point"),!(o=G.Z.create(t.Z.Point,e,i,n)))throw new Error("JSXGraph: Can't create point with parent types '"+typeof i[0]+"' and '"+typeof i[1]+"'.\nPossible parent types: [x,y], [z,x,y], [element,transformation]");return o},t.Z.createGlider=function(t,e,i){var r,o,n=s.Z.copyAttributes(i,t.options,"glider");return o=1===e.length?[0,0]:e.slice(0,2),(r=t.create("point",o,n)).makeGlider(e[e.length-1]),r},t.Z.createIntersectionPoint=function(t,e,r){var o,n,a,l,c,d,u=s.Z.copyAttributes(r,t.options,"intersection");e.push(0,0),n=t.select(e[0]),a=t.select(e[1]),c=e[2]||0,d=e[3]||0,o=t.create("point",[0,0,0],u),l=h.Z.intersectionFunction(t,n,a,c,d,o.visProp.alwaysintersect),o.addConstraint([l]);try{n.addChild(o),a.addChild(o)}catch(t){throw new Error("JSXGraph: Can't create 'intersection' with parent types '"+typeof e[0]+"' and '"+typeof e[1]+"'.")}return o.type=i.Z.OBJECT_TYPE_INTERSECTION,o.elType="intersection",o.setParents([n.id,a.id]),o.intersectionNumbers=[c,d],o.getParents=function(){return this.parents.concat(this.intersectionNumbers)},o.generatePolynomial=function(){var t=n.generatePolynomial(o),e=a.generatePolynomial(o);return 0===t.length||0===e.length?[]:[t[0],e[0]]},o},t.Z.createOtherIntersectionPoint=function(t,e,r){var n,a,l,c;if(3!==e.length||!s.Z.isPoint(e[2])||e[0].elementClass!==i.Z.OBJECT_CLASS_LINE&&e[0].elementClass!==i.Z.OBJECT_CLASS_CIRCLE||e[1].elementClass!==i.Z.OBJECT_CLASS_LINE&&e[1].elementClass!==i.Z.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]),l=t.select(e[1]),c=t.select(e[2]),(n=t.create("point",[function(){var t=h.Z.meet(a.stdform,l.stdform,0,a.board);return Math.abs(c.X()-t.usrCoords[1])>o.Z.eps||Math.abs(c.Y()-t.usrCoords[2])>o.Z.eps||Math.abs(c.Z()-t.usrCoords[0])>o.Z.eps?t:h.Z.meet(a.stdform,l.stdform,1,a.board)}],r)).type=i.Z.OBJECT_TYPE_INTERSECTION,n.elType="otherintersection",n.setParents([a.id,l.id,c]),a.addChild(n),l.addChild(n),n.generatePolynomial=function(){var t=a.generatePolynomial(n),e=l.generatePolynomial(n);return 0===t.length||0===e.length?[]:[t[0],e[0]]},n},t.Z.createPolePoint=function(e,s,r){var o,n,a,h,l,c,d;if(s.length>1&&(h=s[0].type===i.Z.OBJECT_TYPE_CONIC||s[0].elementClass===i.Z.OBJECT_CLASS_CIRCLE,l=s[1].type===i.Z.OBJECT_TYPE_CONIC||s[1].elementClass===i.Z.OBJECT_CLASS_CIRCLE,c=s[0].elementClass===i.Z.OBJECT_CLASS_LINE,d=s[1].elementClass===i.Z.OBJECT_CLASS_LINE),2!==s.length||!(h&&d||c&&l))throw new Error("JSXGraph: Can't create 'pole point' with parent types '"+typeof s[0]+"' and '"+typeof s[1]+"'.\nPossible parent type: [conic|circle,line], [line,conic|circle]");return d?(n=e.select(s[0]),a=e.select(s[1])):(n=e.select(s[1]),a=e.select(s[0])),(o=e.create("point",[function(){var e=n.quadraticform,i=a.stdform.slice(0,3);return[t.Z.Math.Numerics.det([i,e[1],e[2]]),t.Z.Math.Numerics.det([e[0],i,e[2]]),t.Z.Math.Numerics.det([e[0],e[1],i])]}],r)).elType="polepoint",o.setParents([n.id,a.id]),n.addChild(o),a.addChild(o),o},t.Z.registerElement("point",t.Z.createPoint),t.Z.registerElement("glider",t.Z.createGlider),t.Z.registerElement("intersection",t.Z.createIntersectionPoint),t.Z.registerElement("otherintersection",t.Z.createOtherIntersectionPoint),t.Z.registerElement("polepoint",t.Z.createPolePoint);var W=t.Z.Point;t.Z.Line=function(e,s,r,o){this.constructor(e,o,i.Z.OBJECT_TYPE_LINE,i.Z.OBJECT_CLASS_LINE),this.point1=this.board.select(s),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._is_new?(this.addChild(this.point1),delete this.point1._is_new):this.point1.addChild(this),this.point2._is_new?(this.addChild(this.point2),delete this.point2._is_new):this.point2.addChild(this),this.inherits.push(this.point1,this.point2),this.updateStdform(),this.createLabel(),this.methodMap=t.Z.deepCopy(this.methodMap,{point1:"point1",point2:"point2",getSlope:"getSlope",getRise:"getRise",getYIntersect:"getRise",getAngle:"getAngle",Slope:"Slope",L:"L",length:"L",setFixedLength:"setFixedLength"})},t.Z.Line.prototype=new z.Z,t.Z.extend(t.Z.Line.prototype,{hasPoint:function(t,e){var r,n,a,l,c,d,p,f,_,g=[],m=[1,t,e],b=s.Z.evaluate(this.visProp.strokewidth);return s.Z.isObject(s.Z.evaluate(this.visProp.precision))?(_=this.board._inputDevice,f=s.Z.evaluate(this.visProp.precision[_])):f=this.board.options.precision.hasPoint,f+=.5*b,g[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,g[1]=this.stdform[1]/this.board.unitX,g[2]=this.stdform[2]/-this.board.unitY,r=h.Z.distPointLine(m,g),!(isNaN(r)||r>f)&&(!(!s.Z.evaluate(this.visProp.straightfirst)||!s.Z.evaluate(this.visProp.straightlast))||(a=this.point1.coords,l=this.point2.coords,n=[0,g[1],g[2]],n=o.Z.crossProduct(n,m),(n=o.Z.crossProduct(n,g))[1]/=n[0],n[2]/=n[0],n[0]=1,n=new u.Z(i.Z.COORDS_BY_SCREEN,n.slice(1),this.board).usrCoords,c=a.distance(i.Z.COORDS_BY_USER,l),a=a.usrCoords.slice(0),l=l.usrCoords.slice(0),c<o.Z.eps?d=0:(c===Number.POSITIVE_INFINITY&&(c=1/o.Z.eps,Math.abs(l[0])<o.Z.eps?(c/=h.Z.distance([0,0,0],l),l=[1,a[1]+l[1]*c,a[2]+l[2]*c]):(c/=h.Z.distance([0,0,0],a),a=[1,l[1]+a[1]*c,l[2]+a[2]*c])),c=l[p=1]-a[p],Math.abs(c)<o.Z.eps&&(c=l[p=2]-a[p]),d=(n[p]-a[p])/c),!(!s.Z.evaluate(this.visProp.straightfirst)&&d<0)&&!(!s.Z.evaluate(this.visProp.straightlast)&&d>1)))},update:function(){var t;return this.needsUpdate?(this.constrained&&(s.Z.isFunction(this.funps)?(t=this.funps())&&t.length&&2===t.length&&(this.point1=t[0],this.point2=t[1]):(s.Z.isFunction(this.funp1)&&(t=this.funp1(),s.Z.isPoint(t)?this.point1=t:t&&t.length&&2===t.length&&this.point1.setPositionDirectly(i.Z.COORDS_BY_USER,t)),s.Z.isFunction(this.funp2)&&(t=this.funp2(),s.Z.isPoint(t)?this.point2=t:t&&t.length&&2===t.length&&this.point2.setPositionDirectly(i.Z.COORDS_BY_USER,t)))),this.updateSegmentFixedLength(),this.updateStdform(),s.Z.evaluate(this.visProp.trace)&&this.cloneToBackground(!0),this):this},updateSegmentFixedLength:function(){var t,e,r,n,a,h,l,c;return this.hasFixedLength?(t=this.point1.Dist(this.point2),e=Math.abs(this.fixedLength()),r=this.fixedLengthOldCoords[0].distance(i.Z.COORDS_BY_USER,this.point1.coords),n=this.fixedLengthOldCoords[1].distance(i.Z.COORDS_BY_USER,this.point2.coords),(r>o.Z.eps||n>o.Z.eps||t!==e)&&(a=this.point1.isDraggable&&this.point1.type!==i.Z.OBJECT_TYPE_GLIDER&&!s.Z.evaluate(this.point1.visProp.fixed),h=this.point2.isDraggable&&this.point2.type!==i.Z.OBJECT_TYPE_GLIDER&&!s.Z.evaluate(this.point2.visProp.fixed),t>o.Z.eps?r>n&&h||r<=n&&h&&!a?(this.point2.setPositionDirectly(i.Z.COORDS_BY_USER,[this.point1.X()+(this.point2.X()-this.point1.X())*e/t,this.point1.Y()+(this.point2.Y()-this.point1.Y())*e/t]),this.point2.fullUpdate()):(r<=n&&a||r>n&&a&&!h)&&(this.point1.setPositionDirectly(i.Z.COORDS_BY_USER,[this.point2.X()+(this.point1.X()-this.point2.X())*e/t,this.point2.Y()+(this.point1.Y()-this.point2.Y())*e/t]),this.point1.fullUpdate()):(l=Math.random()-.5,c=Math.random()-.5,t=o.Z.hypot(l,c),h?(this.point2.setPositionDirectly(i.Z.COORDS_BY_USER,[this.point1.X()+l*e/t,this.point1.Y()+c*e/t]),this.point2.fullUpdate()):a&&(this.point1.setPositionDirectly(i.Z.COORDS_BY_USER,[this.point2.X()+l*e/t,this.point2.Y()+c*e/t]),this.point1.fullUpdate())),this.fixedLengthOldCoords[0].setCoordinates(i.Z.COORDS_BY_USER,this.point1.coords.usrCoords),this.fixedLengthOldCoords[1].setCoordinates(i.Z.COORDS_BY_USER,this.point2.coords.usrCoords)),this):this},updateStdform:function(){var t=o.Z.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(){return this.needsUpdate?(this.visPropCalc.visible&&(this.isReal=!isNaN(this.point1.coords.usrCoords[1]+this.point1.coords.usrCoords[2]+this.point2.coords.usrCoords[1]+this.point2.coords.usrCoords[2])&&o.Z.innerProduct(this.stdform,this.stdform,3)>=o.Z.eps*o.Z.eps,this.isReal||this.updateVisibility(!1)),this.visPropCalc.visible&&this.board.renderer.updateLine(this),this.hasLabel&&this.visPropCalc.visible&&this.label&&this.label.visPropCalc.visible&&this.isReal&&(this.label.update(),this.board.renderer.updateText(this.label)),this.setDisplayRendNode(),this.needsUpdate=!1,this):this},generatePolynomial:function(t){var e=this.point1.symbolic.x,i=this.point1.symbolic.y,s=this.point2.symbolic.x,r=this.point2.symbolic.y,o=t.symbolic.x,n=t.symbolic.y;return[["(",i,")*(",o,")-(",i,")*(",s,")+(",n,")*(",s,")-(",e,")*(",n,")+(",e,")*(",r,")-(",o,")*(",r,")"].join("")]},getRise:function(){return Math.abs(this.stdform[2])>=o.Z.eps?-this.stdform[0]/this.stdform[2]:1/0},Slope:function(){return Math.abs(this.stdform[2])>=o.Z.eps?-this.stdform[1]/this.stdform[2]:1/0},getSlope:function(){return this.Slope()},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 u.Z(i.Z.COORDS_BY_USER,[.5*(this.point2.X()+this.point1.X()),.5*(this.point2.Y()+this.point1.Y())],this.board)},setLabelRelativeCoords:function(t){s.Z.exists(this.label)&&(this.label.relativeCoords=new u.Z(i.Z.COORDS_BY_SCREEN,[t[0],-t[1]],this.board))},getLabelAnchor:function(){var t,e,r=0,n=new u.Z(i.Z.COORDS_BY_USER,this.point1.coords.usrCoords,this.board),a=new u.Z(i.Z.COORDS_BY_USER,this.point2.coords.usrCoords,this.board),l=s.Z.evaluate(this.visProp.straightfirst),c=s.Z.evaluate(this.visProp.straightlast);if((l||c)&&h.Z.calcStraight(this,n,a,0),n=n.scrCoords,a=a.scrCoords,!s.Z.exists(this.label))return new u.Z(i.Z.COORDS_BY_SCREEN,[NaN,NaN],this.board);switch(s.Z.evaluate(this.label.visProp.position)){case"last":t=a[1],e=a[2];break;case"first":t=n[1],e=n[2];break;case"lft":case"llft":case"ulft":n[1]<=a[1]?(t=n[1],e=n[2]):(t=a[1],e=a[2]);break;case"rt":case"lrt":case"urt":n[1]>a[1]?(t=n[1],e=n[2]):(t=a[1],e=a[2]);break;default:t=.5*(n[1]+a[1]),e=.5*(n[2]+a[2])}return(l||c)&&(s.Z.exists(this.label)&&(r=s.Z.evaluate(this.label.visProp.fontsize)),Math.abs(t)<o.Z.eps?t=r:this.board.canvasWidth+o.Z.eps>t&&t>this.board.canvasWidth-r-o.Z.eps&&(t=this.board.canvasWidth-r),o.Z.eps+r>e&&e>-o.Z.eps?e=r:this.board.canvasHeight+o.Z.eps>e&&e>this.board.canvasHeight-r-o.Z.eps&&(e=this.board.canvasHeight-r)),new u.Z(i.Z.COORDS_BY_SCREEN,[t,e],this.board)},cloneToBackground:function(){var t,e,r,o={};return o.id=this.id+"T"+this.numTraces,o.elementClass=i.Z.OBJECT_CLASS_LINE,this.numTraces++,o.point1=this.point1,o.point2=this.point2,o.stdform=this.stdform,o.board=this.board,o.visProp=s.Z.deepCopy(this.visProp,this.visProp.traceattributes,!0),o.visProp.layer=this.board.options.layer.trace,s.Z.clearVisPropOld(o),o.visPropCalc={visible:s.Z.evaluate(o.visProp.visible)},e=this.getSlope(),t=this.getRise(),o.getSlope=function(){return e},o.getRise=function(){return t},r=this.board.renderer.enhancedRendering,this.board.renderer.enhancedRendering=!0,this.board.renderer.drawLine(o),this.board.renderer.enhancedRendering=r,this.traces[o.id]=o.rendNode,this},addTransform:function(t){var e,i=s.Z.isArray(t)?t:[t],r=i.length;for(e=0;e<r;e++)this.point1.transformations.push(i[e]),this.point2.transformations.push(i[e]);return this},snapToGrid:function(t){var e,r,o,n,a,l,c,d;return s.Z.evaluate(this.visProp.snaptogrid)?this.parents.length<3?(this.point1.handleSnapToGrid(!0,!0),this.point2.handleSnapToGrid(!0,!0)):s.Z.exists(t)&&(c=s.Z.evaluate(this.visProp.snapsizex),d=s.Z.evaluate(this.visProp.snapsizey),a=(e=new u.Z(i.Z.COORDS_BY_SCREEN,[t.Xprev,t.Yprev],this.board)).usrCoords[1],l=e.usrCoords[2],c<=0&&this.board.defaultAxes&&this.board.defaultAxes.x.defaultTicks&&(c=(n=this.board.defaultAxes.x.defaultTicks).ticksDelta*(s.Z.evaluate(n.visProp.minorticks)+1)),d<=0&&this.board.defaultAxes&&this.board.defaultAxes.y.defaultTicks&&(d=(n=this.board.defaultAxes.y.defaultTicks).ticksDelta*(s.Z.evaluate(n.visProp.minorticks)+1)),c>0&&d>0&&(r=h.Z.projectPointToLine({coords:e},this,this.board),o=p.Z.subtract([1,Math.round(a/c)*c,Math.round(l/d)*d],r.usrCoords),this.board.create("transform",o.slice(1),{type:"translate"}).applyOnce([this.point1,this.point2]))):(this.point1.handleSnapToGrid(!1,!0),this.point2.handleSnapToGrid(!1,!0)),this},snapToPoints:function(){var t=s.Z.evaluate(this.visProp.snaptopoints);return this.parents.length<3&&(this.point1.handleSnapToPoints(t),this.point2.handleSnapToPoints(t)),this},X:function(t){var e,i=this.stdform[2];return e=Math.abs(this.point1.coords.usrCoords[0])>o.Z.eps?this.point1.coords.usrCoords[1]:this.point2.coords.usrCoords[1],t=2*(t-.5),(1-Math.abs(t))*e-t*i},Y:function(t){var e,i=this.stdform[1];return e=Math.abs(this.point1.coords.usrCoords[0])>o.Z.eps?this.point1.coords.usrCoords[2]:this.point2.coords.usrCoords[2],t=2*(t-.5),(1-Math.abs(t))*e+t*i},Z:function(t){var e=Math.abs(this.point1.coords.usrCoords[0])>o.Z.eps?this.point1.coords.usrCoords[0]:this.point2.coords.usrCoords[0];return t=2*(t-.5),(1-Math.abs(t))*e},L:function(){return this.point1.Dist(this.point2)},setFixedLength:function(t){return this.hasFixedLength?(this.fixedLength=s.Z.createFunction(t,this.board),this.board.update(),this):this},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])]},remove:function(){this.removeAllTicks(),z.Z.prototype.remove.call(this)}}),t.Z.createLine=function(e,i,r){var o,n,a,h,l,c,d,u=[],p=!1,f=!1;if(2===i.length){if(c=s.Z.copyAttributes(r,e.options,"line","point1"),s.Z.isArray(i[0])&&i[0].length>1)a=e.create("point",i[0],c);else if(s.Z.isString(i[0])||s.Z.isPoint(i[0]))a=e.select(i[0]);else if(s.Z.isFunction(i[0])&&s.Z.isPoint(i[0]()))a=i[0](),f=!0;else if(s.Z.isFunction(i[0])&&i[0]().length&&i[0]().length>=2)a=t.Z.createPoint(e,i[0](),c),f=!0;else{if(!s.Z.isObject(i[0])||!s.Z.isTransformationOrArray(i[1]))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]");p=!0,a=e.create("point",[i[0].point1,i[1]],c)}if(c=s.Z.copyAttributes(r,e.options,"line","point2"),p)h=e.create("point",[i[0].point2,i[1]],c);else if(s.Z.isArray(i[1])&&i[1].length>1)h=e.create("point",i[1],c);else if(s.Z.isString(i[1])||s.Z.isPoint(i[1]))h=e.select(i[1]);else if(s.Z.isFunction(i[1])&&s.Z.isPoint(i[1]()))h=i[1](),f=!0;else{if(!(s.Z.isFunction(i[1])&&i[1]().length&&i[1]().length>=2))throw new Error("JSXGraph: Can't create line with parent types '"+typeof i[0]+"' and '"+typeof i[1]+"'.\nPossible parent types: [point,point], [[x1,y1],[x2,y2]], [a,b,c]");h=t.Z.createPoint(e,i[1](),c),f=!0}c=s.Z.copyAttributes(r,e.options,"line"),n=new t.Z.Line(e,a,h,c),f?(n.constrained=!0,n.funp1=i[0],n.funp2=i[1]):p||(n.isDraggable=!0),n.setParents([a.id,h.id])}else if(3===i.length){for(d=!0,l=0;l<3;l++)if(s.Z.isNumber(i[l]))u[l]=s.Z.createFunction(i[l]);else{if(!s.Z.isFunction(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]");u[l]=i[l],d=!1}c=s.Z.copyAttributes(r,e.options,"line","point1"),a=d?e.create("point",[u[2]()*u[2]()+u[1]()*u[1](),u[2]()-u[1]()*u[0]()+u[2](),-u[1]()-u[2]()*u[0]()-u[1]()],c):e.create("point",[function(){return.5*(u[2]()*u[2]()+u[1]()*u[1]())},function(){return.5*(u[2]()-u[1]()*u[0]()+u[2]())},function(){return.5*(-u[1]()-u[2]()*u[0]()-u[1]())}],c),c=s.Z.copyAttributes(r,e.options,"line","point2"),h=d?e.create("point",[u[2]()*u[2]()+u[1]()*u[1](),-u[1]()*u[0]()+u[2](),-u[2]()*u[0]()-u[1]()],c):e.create("point",[function(){return u[2]()*u[2]()+u[1]()*u[1]()},function(){return-u[1]()*u[0]()+u[2]()},function(){return-u[2]()*u[0]()-u[1]()}],c),a.prepareUpdate().update(),h.prepareUpdate().update(),c=s.Z.copyAttributes(r,e.options,"line"),(n=new t.Z.Line(e,a,h,c)).isDraggable=d,n.setParents([a,h])}else if(1===i.length&&s.Z.isFunction(i[0])&&2===i[0]().length&&s.Z.isPoint(i[0]()[0])&&s.Z.isPoint(i[0]()[1]))o=i[0](),c=s.Z.copyAttributes(r,e.options,"line"),(n=new t.Z.Line(e,o[0],o[1],c)).constrained=!0,n.funps=i[0],n.setParents(o);else{if(!(1===i.length&&s.Z.isFunction(i[0])&&3===i[0]().length&&s.Z.isNumber(i[0]()[0])&&s.Z.isNumber(i[0]()[1])&&s.Z.isNumber(i[0]()[2])))throw new Error("JSXGraph: Can't create line with parent types '"+typeof i[0]+"' and '"+typeof i[1]+"'.\nPossible parent types: [point,point], [[x1,y1],[x2,y2]], [a,b,c]");o=i[0],c=s.Z.copyAttributes(r,e.options,"line","point1"),a=e.create("point",[function(){var t=o();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])]}],c),c=s.Z.copyAttributes(r,e.options,"line","point2"),h=e.create("point",[function(){var t=o();return[t[2]*t[2]+t[1]*t[1],-t[1]*t[0]+t[2],-t[2]*t[0]-t[1]]}],c),c=s.Z.copyAttributes(r,e.options,"line"),(n=new t.Z.Line(e,a,h,c)).constrained=!0,n.funps=i[0],n.setParents([a,h])}return n},t.Z.registerElement("line",t.Z.createLine),t.Z.createSegment=function(t,e,r){var o,n;if(r.straightFirst=!1,r.straightLast=!1,n=s.Z.copyAttributes(r,t.options,"segment"),o=t.create("line",e.slice(0,2),n),3===e.length){if(o.hasFixedLength=!0,s.Z.isNumber(e[2]))o.fixedLength=function(){return e[2]};else{if(!s.Z.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");o.fixedLength=s.Z.createFunction(e[2],this.board)}o.getParents=function(){return this.parents.concat(this.fixedLength())},o.fixedLengthOldCoords=[],o.fixedLengthOldCoords[0]=new u.Z(i.Z.COORDS_BY_USER,o.point1.coords.usrCoords.slice(1,3),t),o.fixedLengthOldCoords[1]=new u.Z(i.Z.COORDS_BY_USER,o.point2.coords.usrCoords.slice(1,3),t)}return o.elType="segment",o},t.Z.registerElement("segment",t.Z.createSegment),t.Z.createArrow=function(t,e,r){var o,n;return r.straightFirst=!1,r.straightLast=!1,n=s.Z.copyAttributes(r,t.options,"arrow"),(o=t.create("line",e,n)).type=i.Z.OBJECT_TYPE_VECTOR,o.elType="arrow",o},t.Z.registerElement("arrow",t.Z.createArrow),t.Z.createAxis=function(t,e,r){var o,n,a,h,l;o=s.Z.copyAttributes(r,t.options,"axis");try{a=t.create("line",e,o)}catch(t){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]]")}for(h in a.type=i.Z.OBJECT_TYPE_AXIS,a.isDraggable=!1,a.point1.isDraggable=!1,a.point2.isDraggable=!1,a.ancestors)a.ancestors.hasOwnProperty(h)&&(a.ancestors[h].type=i.Z.OBJECT_TYPE_AXISPOINT);return n=s.Z.copyAttributes(r,t.options,"axis","ticks"),l=s.Z.exists(n.ticksdistance)?n.ticksdistance:s.Z.isArray(n.ticks)?n.ticks:1,a.defaultTicks=t.create("ticks",[a,l],n),a.defaultTicks.dump=!1,a.elType="axis",a.subs={ticks:a.defaultTicks},a.inherits.push(a.defaultTicks),a},t.Z.registerElement("axis",t.Z.createAxis),t.Z.createTangent=function(t,e,r){var n,a,h,l,c,u,p;if(1===e.length)n=e[0],a=n.slideObject;else{if(2!==e.length)throw new Error("JSXGraph: Can't create tangent with parent types '"+typeof e[0]+"' and '"+typeof e[1]+"'.\nPossible parent types: [glider], [point,line|curve|circle|conic]");if(s.Z.isPoint(e[0]))n=e[0],a=e[1];else{if(!s.Z.isPoint(e[1]))throw new Error("JSXGraph: Can't create tangent with parent types '"+typeof e[0]+"' and '"+typeof e[1]+"'.\nPossible parent types: [glider], [point,line|curve|circle|conic]");a=e[0],n=e[1]}}if(u=s.Z.copyAttributes(r,t.options,"tangent"),a.elementClass===i.Z.OBJECT_CLASS_LINE?(c=t.create("line",[a.point1,a.point2],u)).glider=n:a.elementClass===i.Z.OBJECT_CLASS_CURVE&&a.type!==i.Z.OBJECT_TYPE_CONIC?"plot"!==s.Z.evaluate(a.visProp.curvetype)?(c=t.create("line",[function(){var t=a.X,e=a.Y;return-n.X()*d.Z.D(e)(n.position)+n.Y()*d.Z.D(t)(n.position)},function(){return d.Z.D(a.Y)(n.position)},function(){return-d.Z.D(a.X)(n.position)}],u),n.addChild(c),c.glider=n):(p=function(t,e,i){var s,r,a,h,l,c,d,u,p,f,_,g,m=Math.floor(t);if(1===e.bezierDegree)m===e.numberPoints-1&&m--;else{if(3!==e.bezierDegree)return 0;a=(t*((g="sector"===e.elType?(_=e.points.slice(3,e.numberPoints-3)).length:(_=e.points).length)-1)-(m=3*Math.floor(t*(g-1)/3)))/3,m>=g-1&&(m=g-4,a=1)}if(m<0)return 1;switch(1===e.bezierDegree?(s=e.points[m].usrCoords,r=e.points[m+1].usrCoords):(h=_[m].usrCoords,l=_[m+1].usrCoords,c=_[m+2].usrCoords,d=_[m+3].usrCoords,u=(1-a)*(1-a)*(l[1]-h[1])+2*(1-a)*a*(c[1]-l[1])+a*a*(d[1]-c[1]),p=(1-a)*(1-a)*(l[2]-h[2])+2*(1-a)*a*(c[2]-l[2])+a*a*(d[2]-c[2]),u/=f=o.Z.hypot(u,p),p/=f,r=[1,(s=n.coords.usrCoords)[1]+u,s[2]+p]),i){case 0:return s[2]*r[1]-s[1]*r[2];case 1:return r[2]-s[2];case 2:return s[1]-r[1]}return 0},c=t.create("line",[function(){return p(n.position,a,0)},function(){return p(n.position,a,1)},function(){return p(n.position,a,2)}],u),n.addChild(c),c.glider=n):a.type===i.Z.OBJECT_TYPE_TURTLE?(c=t.create("line",[function(){var t=Math.floor(n.position);for(h=0;h<a.objects.length;h++)if((l=a.objects[h]).type===i.Z.OBJECT_TYPE_CURVE){if(t<l.numberPoints)break;t-=l.numberPoints}return t===l.numberPoints-1&&t--,t<0?1:l.Y(t)*l.X(t+1)-l.X(t)*l.Y(t+1)},function(){var t=Math.floor(n.position);for(h=0;h<a.objects.length;h++)if((l=a.objects[h]).type===i.Z.OBJECT_TYPE_CURVE){if(t<l.numberPoints)break;t-=l.numberPoints}return t===l.numberPoints-1&&t--,t<0?0:l.Y(t+1)-l.Y(t)},function(){var t=Math.floor(n.position);for(h=0;h<a.objects.length;h++)if((l=a.objects[h]).type===i.Z.OBJECT_TYPE_CURVE){if(t<l.numberPoints)break;t-=l.numberPoints}return t===l.numberPoints-1&&t--,t<0?0:l.X(t)-l.X(t+1)}],u),n.addChild(c),c.glider=n):a.elementClass!==i.Z.OBJECT_CLASS_CIRCLE&&a.type!==i.Z.OBJECT_TYPE_CONIC||(c=t.create("line",[function(){return o.Z.matVecMult(a.quadraticform,n.coords.usrCoords)[0]},function(){return o.Z.matVecMult(a.quadraticform,n.coords.usrCoords)[1]},function(){return o.Z.matVecMult(a.quadraticform,n.coords.usrCoords)[2]}],u),n.addChild(c),c.glider=n),!s.Z.exists(c))throw new Error("JSXGraph: Couldn't create tangent with the given parents.");return c.elType="tangent",c.type=i.Z.OBJECT_TYPE_TANGENT,c.setParents(e),c},t.Z.createRadicalAxis=function(t,e,s){var r,n,a;if(2!==e.length||e[0].elementClass!==i.Z.OBJECT_CLASS_CIRCLE||e[1].elementClass!==i.Z.OBJECT_CLASS_CIRCLE)throw new Error("JSXGraph: Can't create 'radical axis' with parent types '"+typeof e[0]+"' and '"+typeof e[1]+"'.\nPossible parent type: [circle,circle]");return n=t.select(e[0]),a=t.select(e[1]),(r=t.create("line",[function(){var t=n.stdform,e=a.stdform;return o.Z.matVecMult(o.Z.transpose([t.slice(0,3),e.slice(0,3)]),[e[3],-t[3]])}],s)).elType="radicalaxis",r.setParents([n.id,a.id]),n.addChild(r),a.addChild(r),r},t.Z.createPolarLine=function(t,e,r){var o,n,a,h,l,c,d;if(e.length>1&&(h=e[0].type===i.Z.OBJECT_TYPE_CONIC||e[0].elementClass===i.Z.OBJECT_CLASS_CIRCLE,l=e[1].type===i.Z.OBJECT_TYPE_CONIC||e[1].elementClass===i.Z.OBJECT_CLASS_CIRCLE,c=s.Z.isPoint(e[0]),d=s.Z.isPoint(e[1])),2!==e.length||!(h&&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?(n=t.select(e[0]),a=t.select(e[1])):(n=t.select(e[1]),a=t.select(e[0])),(o=t.create("tangent",[n,a],r)).elType="polarline",o},t.Z.registerElement("tangent",t.Z.createTangent),t.Z.registerElement("polar",t.Z.createTangent),t.Z.registerElement("radicalaxis",t.Z.createRadicalAxis),t.Z.registerElement("polarline",t.Z.createPolarLine);t.Z.Line;t.Z.Group=function(t,e,r,o,n){var a,h,l,c;for(this.board=t,this.objects={},a=this.board.numObjects,this.board.numObjects+=1,""!==e&&s.Z.exists(e)?this.id=e:this.id=this.board.id+"Group"+a,this.board.groups[this.id]=this,this.type=i.Z.OBJECT_TYPE_POINT,this.elementClass=i.Z.OBJECT_CLASS_POINT,""!==r&&s.Z.exists(r)?this.name=r:this.name="group_"+this.board.generateName(this),delete this.type,this.coords={},this.needsRegularUpdate=n.needsregularupdate,this.rotationCenter="centroid",this.scaleCenter=null,this.rotationPoints=[],this.translationPoints=[],this.scalePoints=[],this.scaleDirections={},this.parents=[],h=s.Z.isArray(o)?o:Array.prototype.slice.call(arguments,3),l=0;l<h.length;l++)c=this.board.select(h[l]),!s.Z.evaluate(c.visProp.fixed)&&s.Z.exists(c.coords)&&this.addPoint(c);this.methodMap={ungroup:"ungroup",add:"addPoint",addPoint:"addPoint",addPoints:"addPoints",addGroup:"addGroup",remove:"removePoint",removePoint:"removePoint",setAttribute:"setAttribute",setProperty:"setAttribute"}},t.Z.extend(t.Z.Group.prototype,{ungroup:function(){var t,e,i;for(t in this.objects)this.objects.hasOwnProperty(t)&&(e=this.objects[t].point,s.Z.isArray(e.groups)&&(i=s.Z.indexOf(e.groups,this.id))>=0&&delete e.groups[i]);return this.objects={},this},addParents:function(t){var e,i,r;for(i=(r=s.Z.isArray(t)?t:arguments).length,e=0;e<i;++e)s.Z.isId(this.board,r[e])?this.parents.push(r[e]):s.Z.exists(r[e].id)&&this.parents.push(r[e].id);this.parents=s.Z.uniqueArray(this.parents)},setParents:function(t){return this.parents=[],this.addParents(t),this},getParents:function(){return s.Z.isArray(this.parents)?this.parents:[]},_updateCoordsCache:function(t){var e;""!==t&&s.Z.exists(this.objects[t])&&(e=this.objects[t].point,this.coords[e.id]={usrCoords:e.coords.usrCoords.slice(0)})},update:function(){var t,e,i,r,n,a,l,c,d,u,p=null;if(!this.needsUpdate)return this;if("nothing"===(t=this._update_find_drag_type()).action)return this._updateCoordsCache(t.id),this;if(p=this.objects[t.id].point,"translation"===t.action)d=[p.coords.usrCoords[1]-this.coords[t.id].usrCoords[1],p.coords.usrCoords[2]-this.coords[t.id].usrCoords[2]];else if("rotation"===t.action||"scaling"===t.action){if(i="rotation"===t.action?"rotationCenter":"scaleCenter",s.Z.isPoint(this[i]))u=this[i].coords.usrCoords.slice(1);else if("centroid"===this[i])u=this._update_centroid_center();else if(s.Z.isArray(this[i]))u=this[i];else{if(!s.Z.isFunction(this[i]))return this;u=this[i]()}if("rotation"===t.action)c=h.Z.rad(this.coords[t.id].usrCoords.slice(1),u,this.objects[t.id].point),(d=this.board.create("transform",[c,u[0],u[1]],{type:"rotate"})).update();else{if("scaling"!==t.action)return this;if(n=h.Z.distance(this.coords[t.id].usrCoords.slice(1),u),Math.abs(n)<o.Z.eps)return this;n=h.Z.distance(p.coords.usrCoords.slice(1),u)/n,a=this.scaleDirections[t.id].indexOf("x")>=0?n:1,l=this.scaleDirections[t.id].indexOf("y")>=0?n:1,(d=this.board.create("transform",[1,0,0,u[0]*(1-a),a,0,u[1]*(1-l),0,l],{type:"generic"})).update()}}for(e in this._update_apply_transformation(t,d),this.needsUpdate=!1,this.objects)if(this.objects.hasOwnProperty(e))for(r in this.objects[e].descendants)this.objects[e].descendants.hasOwnProperty(r)&&(this.objects[e].descendants.needsUpdate=this.objects[e].descendants.needsRegularUpdate||this.board.needsFullUpdate);for(e in this.board.updateElements(t),this.objects)this.objects.hasOwnProperty(e)&&this._updateCoordsCache(e);return this},_update_find_drag_type:function(){var t,e,r,n="nothing",a=[];for(t in this.objects)this.objects.hasOwnProperty(t)&&(e=this.objects[t].point).coords.distance(i.Z.COORDS_BY_USER,this.coords[t])>o.Z.eps&&a.push(e.id);return 0===a.length?{action:n,id:"",changed:a}:(r=a[0],e=this.objects[r].point,a.length>1?n="translation":s.Z.isInArray(this.rotationPoints,e)&&s.Z.exists(this.rotationCenter)?n="rotation":s.Z.isInArray(this.scalePoints,e)&&s.Z.exists(this.scaleCenter)?n="scaling":s.Z.isInArray(this.translationPoints,e)&&(n="translation"),{action:n,id:r,changed:a})},_update_centroid_center:function(){var t,e,i;for(i in t=[0,0],e=0,this.coords)this.coords.hasOwnProperty(i)&&(t[0]+=this.coords[i].usrCoords[1],t[1]+=this.coords[i].usrCoords[2],++e);return e>0&&(t[0]/=e,t[1]/=e),t},_update_apply_transformation:function(t,e){var r,n;for(r in this.objects)this.objects.hasOwnProperty(r)&&(s.Z.exists(this.board.objects[r])?(n=this.objects[r].point).id!==t.id?"translation"===t.action?s.Z.isInArray(t.changed,n.id)||n.coords.setCoordinates(i.Z.COORDS_BY_USER,[this.coords[r].usrCoords[1]+e[0],this.coords[r].usrCoords[2]+e[1]]):"rotation"!==t.action&&"scaling"!==t.action||e.applyOnce([n]):"rotation"!==t.action&&"scaling"!==t.action||n.coords.setCoordinates(i.Z.COORDS_BY_USER,o.Z.matVecMult(e.matrix,this.coords[n.id].usrCoords)):delete this.objects[r])},addPoint:function(t){return this.objects[t.id]={point:this.board.select(t)},this._updateCoordsCache(t.id),this.translationPoints.push(t),t.groups.push(this.id),t.groups=s.Z.uniqueArray(t.groups),this},addPoints:function(t){var e;for(e=0;e<t.length;e++)this.addPoint(t[e]);return this},addGroup:function(t){var e;for(e in t.objects)t.objects.hasOwnProperty(e)&&this.addPoint(t.objects[e].point);return this},removePoint:function(t){return delete this.objects[t.id],this},setRotationCenter:function(t){return this.rotationCenter=t,this},setRotationPoints:function(t){return this._setActionPoints("rotation",t)},addRotationPoint:function(t){return this._addActionPoint("rotation",t)},removeRotationPoint:function(t){return this._removeActionPoint("rotation",t)},setTranslationPoints:function(t){return this._setActionPoints("translation",t)},addTranslationPoint:function(t){return this._addActionPoint("translation",t)},removeTranslationPoint:function(t){return this._removeActionPoint("translation",t)},setScaleCenter:function(t){return this.scaleCenter=t,this},setScalePoints:function(t,e){var i,r,o;for(o=(i=s.Z.isArray(t)?t:arguments).length,r=0;r<o;++r)this.scaleDirections[this.board.select(i[r]).id]=e||"xy";return this._setActionPoints("scale",t)},addScalePoint:function(t,e){return this._addActionPoint("scale",t),this.scaleDirections[this.board.select(t).id]=e||"xy",this},removeScalePoint:function(t){return this._removeActionPoint("scale",t)},_setActionPoints:function(t,e){var i,r,o;for(o=(i=s.Z.isArray(e)?e:arguments).length,this[t+"Points"]=[],r=0;r<o;++r)this._addActionPoint(t,i[r]);return this},_addActionPoint:function(t,e){return this[t+"Points"].push(this.board.select(e)),this},_removeActionPoint:function(t,e){var i=this[t+"Points"].indexOf(this.board.select(e));return i>-1&&this[t+"Points"].splice(i,1),this},setProperty:function(){t.Z.deprecated("Group.setProperty","Group.setAttribute()"),this.setAttribute.apply(this,arguments)},setAttribute:function(){var t;for(t in this.objects)this.objects.hasOwnProperty(t)&&this.objects[t].point.setAttribute.apply(this.objects[t].point,arguments);return this}}),t.Z.createGroup=function(e,i,r){var o=s.Z.copyAttributes(r,e.options,"group"),n=new t.Z.Group(e,o.id,o.name,i,o);return n.elType="group",n.setParents(i),n},t.Z.registerElement("group",t.Z.createGroup);t.Z.Group;t.Z.Circle=function(t,e,r,o,n){this.constructor(t,n,i.Z.OBJECT_TYPE_CIRCLE,i.Z.OBJECT_CLASS_CIRCLE),this.method=e,this.midpoint=this.board.select(r),this.center=this.board.select(r),this.point2=null,this.radius=0,this.line=null,this.circle=null,this.points=[],"twoPoints"===e?(this.point2=t.select(o),this.radius=this.Radius()):"pointRadius"===e?(this.gxtterm=o,this.updateRadius=s.Z.createFunction(o,this.board),this.updateRadius(),this.addParentsFromJCFunctions([this.updateRadius])):"pointLine"===e?(this.line=t.select(o),this.radius=this.line.point1.coords.distance(i.Z.COORDS_BY_USER,this.line.point2.coords)):"pointCircle"===e&&(this.circle=t.select(o),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(),s.Z.exists(this.center._is_new)?(this.addChild(this.center),delete this.center._is_new):this.center.addChild(this),"pointRadius"===e?this.notifyParents(o):"pointLine"===e?this.line.addChild(this):"pointCircle"===e?this.circle.addChild(this):"twoPoints"===e&&(s.Z.exists(this.point2._is_new)?(this.addChild(this.point2),delete this.point2._is_new):this.point2.addChild(this)),this.methodMap=s.Z.deepCopy(this.methodMap,{setRadius:"setRadius",getRadius:"getRadius",Area:"Area",area:"Area",Perimeter:"Perimeter",Circumference:"Perimeter",radius:"Radius",Radius:"Radius",Diameter:"Diameter",center:"center",line:"line",point2:"point2"})},t.Z.Circle.prototype=new z.Z,t.Z.extend(t.Z.Circle.prototype,{hasPoint:function(t,e){var r,n,a,h,l,c=this.center.coords.usrCoords,d=new u.Z(i.Z.COORDS_BY_SCREEN,[t,e],this.board),p=this.Radius();return s.Z.isObject(s.Z.evaluate(this.visProp.precision))?(n=this.board._inputDevice,r=s.Z.evaluate(this.visProp.precision[n])):r=this.board.options.precision.hasPoint,a=c[1]-d.usrCoords[1],h=c[2]-d.usrCoords[2],l=o.Z.hypot(a,h),r+=.5*s.Z.evaluate(this.visProp.strokewidth),r/=Math.sqrt(Math.abs(this.board.unitX*this.board.unitY)),s.Z.evaluate(this.visProp.hasinnerpoints)?l<p+r:Math.abs(l-p)<r},generatePolynomial:function(t){var e=this.center.symbolic.x,i=this.center.symbolic.y,s=t.symbolic.x,r=t.symbolic.y,o=this.generateRadiusSquared();return""===o?[]:["(("+s+")-("+e+"))^2 + (("+r+")-("+i+"))^2 - ("+o+")"]},generateRadiusSquared:function(){var t,e,i,r,o="";return"twoPoints"===this.method?(t=this.center.symbolic.x,e=this.center.symbolic.y,o="(("+(i=this.point2.symbolic.x)+")-("+t+"))^2 + (("+(r=this.point2.symbolic.y)+")-("+e+"))^2"):"pointRadius"===this.method?s.Z.isNumber(this.radius)&&(o=(this.radius*this.radius).toString()):"pointLine"===this.method?(i=this.line.point1.symbolic.x,r=this.line.point1.symbolic.y,o="(("+i+")-("+this.line.point2.symbolic.x+"))^2 + (("+r+")-("+this.line.point2.symbolic.y+"))^2"):"pointCircle"===this.method&&(o=this.circle.Radius()),o},update:function(){var t,e,r,o,n,a;if(this.needsUpdate)for(s.Z.evaluate(this.visProp.trace)&&this.cloneToBackground(!0),"pointLine"===this.method?this.radius=this.line.point1.coords.distance(i.Z.COORDS_BY_USER,this.line.point2.coords):"pointCircle"===this.method?this.radius=this.circle.Radius():"pointRadius"===this.method&&(this.radius=this.updateRadius()),this.radius=Math.abs(this.radius),this.updateStdform(),this.updateQuadraticform(),r=this.center.coords.usrCoords[0],t=this.center.coords.usrCoords[1]/r,e=this.center.coords.usrCoords[2]/r,r/=r,o=this.Radius(),n=.551915024494,this.numberPoints=13,this.dataX=[t+o,t+o,t+o*n,t,t-o*n,t-o,t-o,t-o,t-o*n,t,t+o*n,t+o,t+o],this.dataY=[e,e+o*n,e+o,e+o,e+o,e+o*n,e,e-o*n,e-o,e-o,e-o,e-o*n,e],this.bezierDegree=3,a=0;a<this.numberPoints;a++)this.points[a]=new u.Z(i.Z.COORDS_BY_USER,[this.dataX[a],this.dataY[a]],this.board);return this},updateQuadraticform:function(){var t=this.center,e=t.X(),i=t.Y(),s=this.Radius();this.quadraticform=[[e*e+i*i-s*s,-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]=s.Z.exists(this.point2)?-(this.stdform[1]*this.point2.coords.usrCoords[1]+this.stdform[2]*this.point2.coords.usrCoords[2]):0),this.normalize()},updateRenderer:function(){return this.needsUpdate?(this.visPropCalc.visible&&(this.isReal=!isNaN(this.center.coords.usrCoords[1]+this.center.coords.usrCoords[2]+this.Radius())&&this.center.isReal,this.isReal||this.updateVisibility(!1)),this.visPropCalc.visible&&this.board.renderer.updateEllipse(this),this.hasLabel&&this.visPropCalc.visible&&this.label&&this.label.visPropCalc.visible&&this.isReal&&(this.label.update(),this.board.renderer.updateText(this.label)),this.setDisplayRendNode(),this.needsUpdate=!1,this):this},notifyParents:function(t){s.Z.isString(t)&&L.Z.findDependencies(this,t,this.board)},setRadius:function(t){return this.updateRadius=s.Z.createFunction(t,this.board),this.addParentsFromJCFunctions([this.updateRadius]),this.board.update(),this},Radius:function(t){return s.Z.exists(t)?(this.setRadius(t),this.Radius()):"twoPoints"===this.method?s.Z.cmpArrays(this.point2.coords.usrCoords,[0,0,0])||s.Z.cmpArrays(this.center.coords.usrCoords,[0,0,0])?NaN:this.center.Dist(this.point2):"pointLine"===this.method||"pointCircle"===this.method?this.radius:"pointRadius"===this.method?Math.abs(this.updateRadius()):NaN},Diameter:function(){return 2*this.Radius()},getRadius:function(){return t.Z.deprecated("Circle.getRadius()","Circle.Radius()"),this.Radius()},getTextAnchor:function(){return this.center.coords},getLabelAnchor:function(){var t,e,r=this.Radius(),o=this.center.coords.usrCoords,n=.7071067811865;switch(s.Z.evaluate(this.visProp.label.position)){case"lft":t=o[1]-r,e=o[2];break;case"llft":t=o[1]-n*r,e=o[2]-n*r;break;case"rt":t=o[1]+r,e=o[2];break;case"lrt":t=o[1]+n*r,e=o[2]-n*r;break;case"urt":t=o[1]+n*r,e=o[2]+n*r;break;case"top":t=o[1],e=o[2]+r;break;case"bot":t=o[1],e=o[2]-r;break;default:t=o[1]-n*r,e=o[2]+n*r}return new u.Z(i.Z.COORDS_BY_USER,[t,e],this.board)},cloneToBackground:function(){var t,e=this.Radius(),r={id:this.id+"T"+this.numTraces,elementClass:i.Z.OBJECT_CLASS_CIRCLE,center:{coords:this.center.coords},Radius:function(){return e},getRadius:function(){return e},board:this.board,visProp:s.Z.deepCopy(this.visProp,this.visProp.traceattributes,!0)};return r.visProp.layer=this.board.options.layer.trace,this.numTraces++,s.Z.clearVisPropOld(r),r.visPropCalc={visible:s.Z.evaluate(r.visProp.visible)},t=this.board.renderer.enhancedRendering,this.board.renderer.enhancedRendering=!0,this.board.renderer.drawEllipse(r),this.board.renderer.enhancedRendering=t,this.traces[r.id]=r.rendNode,this},addTransform:function(t){var e,i=s.Z.isArray(t)?t:[t],r=i.length;for(e=0;e<r;e++)this.center.transformations.push(i[e]),"twoPoints"===this.method&&this.point2.transformations.push(i[e]);return this},snapToGrid:function(){var t=s.Z.evaluate(this.visProp.snaptogrid);return this.center.handleSnapToGrid(t,!0),"twoPoints"===this.method&&this.point2.handleSnapToGrid(t,!0),this},snapToPoints:function(){var t=s.Z.evaluate(this.visProp.snaptopoints);return this.center.handleSnapToPoints(t),"twoPoints"===this.method&&this.point2.handleSnapToPoints(t),this},X:function(t){return this.Radius()*Math.cos(2*t*Math.PI)+this.center.coords.usrCoords[1]},Y:function(t){return this.Radius()*Math.sin(2*t*Math.PI)+this.center.coords.usrCoords[2]},Z:function(t){return 1},minX:function(){return 0},maxX:function(){return 1},Area:function(){var t=this.Radius();return t*t*Math.PI},Perimeter:function(){return 2*this.Radius()*Math.PI},bounds:function(){var t=this.center.coords.usrCoords,e=this.Radius();return[t[1]-e,t[2]+e,t[1]+e,t[2]-e]},getParents:function(){return 1===this.parents.length?this.parents.concat(this.radius):this.parents}}),t.Z.createCircle=function(e,r,o){var n,a,h,l,c,d=["center","point2"];if(a=[],c=e.select(r[0]),s.Z.isObject(c)&&c.elementClass===i.Z.OBJECT_CLASS_CIRCLE&&s.Z.isTransformationOrArray(r[1]))return l=s.Z.copyAttributes(o,e.options,"circle"),(n=t.Z.createEllipse(e,[c.center,c.center,function(){return 2*c.Radius()}],l)).addTransform(r[1]),n;for(h=0;h<r.length;h++)if(s.Z.isPointType(e,r[h])){if(!1===(a=r.length<3?a.concat(s.Z.providePoints(e,[r[h]],o,"circle",[d[h]])):a.concat(s.Z.providePoints(e,[r[h]],o,"point")))[a.length-1])throw new Error("JSXGraph: Can't create circle from this type. Please provide a point type.")}else a.push(r[h]);if(l=s.Z.copyAttributes(o,e.options,"circle"),2===a.length&&s.Z.isPoint(a[0])&&s.Z.isPoint(a[1]))n=new t.Z.Circle(e,"twoPoints",a[0],a[1],l);else if((s.Z.isNumber(a[0])||s.Z.isFunction(a[0])||s.Z.isString(a[0]))&&s.Z.isPoint(a[1]))n=new t.Z.Circle(e,"pointRadius",a[1],a[0],l);else if((s.Z.isNumber(a[1])||s.Z.isFunction(a[1])||s.Z.isString(a[1]))&&s.Z.isPoint(a[0]))n=new t.Z.Circle(e,"pointRadius",a[0],a[1],l);else if(a[0].elementClass===i.Z.OBJECT_CLASS_CIRCLE&&s.Z.isPoint(a[1]))n=new t.Z.Circle(e,"pointCircle",a[1],a[0],l);else if(a[1].elementClass===i.Z.OBJECT_CLASS_CIRCLE&&s.Z.isPoint(a[0]))n=new t.Z.Circle(e,"pointCircle",a[0],a[1],l);else if(a[0].elementClass===i.Z.OBJECT_CLASS_LINE&&s.Z.isPoint(a[1]))n=new t.Z.Circle(e,"pointLine",a[1],a[0],l);else if(a[1].elementClass===i.Z.OBJECT_CLASS_LINE&&s.Z.isPoint(a[0]))n=new t.Z.Circle(e,"pointLine",a[0],a[1],l);else{if(!(3===r.length&&s.Z.isPoint(a[0])&&s.Z.isPoint(a[1])&&s.Z.isPoint(a[2])))throw new Error("JSXGraph: Can't create circle with parent types '"+typeof r[0]+"' and '"+typeof r[1]+"'.\nPossible parent types: [point,point], [point,number], [point,function], [point,circle], [point,point,point], [circle,transformation]");if(!t.Z.elements.circumcircle)throw new Error("JSXGraph: Can't create circle with three points. Please include the circumcircle element (element/composition).");n=t.Z.elements.circumcircle(e,a,l)}for(n.isDraggable=!0,n.setParents(a),n.elType="circle",h=0;h<a.length;h++)s.Z.isPoint(a[h])&&n.inherits.push(a[h]);return n},t.Z.registerElement("circle",t.Z.createCircle);var H=t.Z.Circle;t.Z.createEllipse=function(t,e,r){var o,n,a,h,l,c,d,p=[],f=s.Z.copyAttributes(r,t.options,"conic","foci"),_=s.Z.copyAttributes(r,t.options,"conic","center"),g=s.Z.copyAttributes(r,t.options,"conic");for(c=0;c<2;c++)if(e[c].length>1)p[c]=t.create("point",e[c],f);else if(s.Z.isPoint(e[c]))p[c]=t.select(e[c]);else if(s.Z.isFunction(e[c])&&s.Z.isPoint(e[c]()))p[c]=e[c]();else{if(!s.Z.isString(e[c]))throw new Error("JSXGraph: Can't create Ellipse with parent types '"+typeof e[0]+"' and '"+typeof e[1]+"'.\nPossible parent types: [point,point,point], [point,point,number|function]");p[c]=t.select(e[c])}if(s.Z.isNumber(e[2]))l=s.Z.createFunction(e[2],t);else if(s.Z.isFunction(e[2])&&s.Z.isNumber(e[2]()))l=e[2];else{if(s.Z.isPoint(e[2]))h=t.select(e[2]);else if(e[2].length>1)h=t.create("point",e[2],f);else if(s.Z.isFunction(e[2])&&s.Z.isPoint(e[2]()))h=e[2]();else{if(!s.Z.isString(e[2]))throw new Error("JSXGraph: Can't create Ellipse with parent types '"+typeof e[0]+"' and '"+typeof e[1]+"' and '"+typeof e[2]+"'.\nPossible parent types: [point,point,point], [point,point,number|function]");h=t.select(e[2])}l=function(){return h.Dist(p[0])+h.Dist(p[1])}}for(s.Z.exists(e[4])||(e[4]=2*Math.PI),s.Z.exists(e[3])||(e[3]=0),a=t.create("point",[function(){return.5*(p[0].X()+p[1].X())},function(){return.5*(p[0].Y()+p[1].Y())}],_),(n=t.create("curve",[function(t){return 0},function(t){return 0},e[3],e[4]],g)).majorAxis=l,d=n.hasPoint,o=function(t,e){var i,s,r,o,a,h,c,d,u;e||(s=(i=l())*i,r=p[0].X(),o=p[0].Y(),c=r-(a=p[1].X()),d=o-(h=p[1].Y()),u=(s-r*r-o*o+a*a+h*h)/(2*i),n.quadraticform=[[u*u-a*a-h*h,u*c/i+a,u*d/i+h],[u*c/i+a,c*c/s-1,c*d/s],[u*d/i+h,c*d/s,d*d/s-1]])},n.X=function(t,e){var i=l(),s=p[1].Dist(p[0]),r=.5*(s*s-i*i)/(s*Math.cos(t)-i),n=Math.atan2(p[1].Y()-p[0].Y(),p[1].X()-p[0].X());return e||o(0,e),p[0].X()+Math.cos(n+t)*r},n.Y=function(t,e){var i=l(),s=p[1].Dist(p[0]),r=.5*(s*s-i*i)/(s*Math.cos(t)-i),o=Math.atan2(p[1].Y()-p[0].Y(),p[1].X()-p[0].X());return p[0].Y()+Math.sin(o+t)*r},n.midpoint=n.center=a,n.type=i.Z.OBJECT_TYPE_CONIC,n.subs={center:n.center},n.inherits.push(n.center,p[0],p[1]),s.Z.isPoint(h)&&n.inherits.push(h),n.hasPoint=function(t,e){var r,o,n,a;return s.Z.evaluate(this.visProp.hasinnerpoints)?(r=p[0].coords,o=p[1].coords,n=this.majorAxis(),(a=new u.Z(i.Z.COORDS_BY_SCREEN,[t,e],this.board)).distance(i.Z.COORDS_BY_USER,r)+a.distance(i.Z.COORDS_BY_USER,o)<=n):d.apply(this,arguments)},a.addChild(n),c=0;c<2;c++)s.Z.isPoint(p[c])&&p[c].addChild(n);return s.Z.isPoint(h)&&h.addChild(n),n.setParents(e),n},t.Z.createHyperbola=function(t,e,r){var o,n,a,h,l,c,d=[],u=s.Z.copyAttributes(r,t.options,"conic","foci"),p=s.Z.copyAttributes(r,t.options,"conic","center"),f=s.Z.copyAttributes(r,t.options,"conic");for(c=0;c<2;c++)if(e[c].length>1)d[c]=t.create("point",e[c],u);else if(s.Z.isPoint(e[c]))d[c]=t.select(e[c]);else if(s.Z.isFunction(e[c])&&s.Z.isPoint(e[c]()))d[c]=e[c]();else{if(!s.Z.isString(e[c]))throw new Error("JSXGraph: Can't create Hyperbola with parent types '"+typeof e[0]+"' and '"+typeof e[1]+"'.\nPossible parent types: [point,point,point], [point,point,number|function]");d[c]=t.select(e[c])}if(s.Z.isNumber(e[2]))l=s.Z.createFunction(e[2],t);else if(s.Z.isFunction(e[2])&&s.Z.isNumber(e[2]()))l=e[2];else{if(s.Z.isPoint(e[2]))h=t.select(e[2]);else if(e[2].length>1)h=t.create("point",e[2],u);else if(s.Z.isFunction(e[2])&&s.Z.isPoint(e[2]()))h=e[2]();else{if(!s.Z.isString(e[2]))throw new Error("JSXGraph: Can't create Hyperbola with parent types '"+typeof e[0]+"' and '"+typeof e[1]+"' and '"+typeof e[2]+"'.\nPossible parent types: [point,point,point], [point,point,number|function]");h=t.select(e[2])}l=function(){return h.Dist(d[0])-h.Dist(d[1])}}for(s.Z.exists(e[4])||(e[4]=1.0001*Math.PI),s.Z.exists(e[3])||(e[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())}],p),(n=t.create("curve",[function(t){return 0},function(t){return 0},e[3],e[4]],f)).majorAxis=l,o=function(t,e){var i,s,r,o,a,h,c,u,p;e||(s=(i=l())*i,r=d[0].X(),o=d[0].Y(),c=r-(a=d[1].X()),u=o-(h=d[1].Y()),p=(s-r*r-o*o+a*a+h*h)/(2*i),n.quadraticform=[[p*p-a*a-h*h,p*c/i+a,p*u/i+h],[p*c/i+a,c*c/s-1,c*u/s],[p*u/i+h,c*u/s,u*u/s-1]])},n.X=function(t,e){var i=l(),s=d[1].Dist(d[0]),r=.5*(s*s-i*i)/(s*Math.cos(t)+i),n=Math.atan2(d[1].Y()-d[0].Y(),d[1].X()-d[0].X());return e||o(0,e),d[0].X()+Math.cos(n+t)*r},n.Y=function(t,e){var i=l(),s=d[1].Dist(d[0]),r=.5*(s*s-i*i)/(s*Math.cos(t)+i),o=Math.atan2(d[1].Y()-d[0].Y(),d[1].X()-d[0].X());return d[0].Y()+Math.sin(o+t)*r},n.midpoint=n.center=a,n.subs={center:n.center},n.inherits.push(n.center,d[0],d[1]),s.Z.isPoint(h)&&n.inherits.push(h),n.type=i.Z.OBJECT_TYPE_CONIC,a.addChild(n),c=0;c<2;c++)s.Z.isPoint(d[c])&&d[c].addChild(n);return s.Z.isPoint(h)&&h.addChild(n),n.setParents(e),n},t.Z.createParabola=function(t,e,r){var o,n,a,l,c=e[0],d=e[1],u=s.Z.copyAttributes(r,t.options,"conic","foci"),p=s.Z.copyAttributes(r,t.options,"conic","center"),f=s.Z.copyAttributes(r,t.options,"conic");if(e[0].length>1)c=t.create("point",e[0],u);else if(s.Z.isPoint(e[0]))c=t.select(e[0]);else if(s.Z.isFunction(e[0])&&s.Z.isPoint(e[0]()))c=e[0]();else{if(!s.Z.isString(e[0]))throw new Error("JSXGraph: Can't create Parabola with parent types '"+typeof e[0]+"' and '"+typeof e[1]+"'.\nPossible parent types: [point,line]");c=t.select(e[0])}return s.Z.isArray(d)&&2===d.length&&(l=s.Z.copyAttributes(r,t.options,"conic","line"),d=t.create("line",d,l)),s.Z.exists(e[3])||(e[3]=2*Math.PI),s.Z.exists(e[2])||(e[2]=0),a=t.create("point",[function(){return h.Z.projectPointToLine(c,d,t).usrCoords}],p),(n=t.create("curve",[function(t){return 0},function(t){return 0},e[2],e[3]],f)).midpoint=n.center=a,n.subs={center:n.center},n.inherits.push(n.center),o=function(t,e){var i,s,r,o,a,h;e||(i=d.stdform[1],s=d.stdform[2],r=d.stdform[0],o=i*i+s*s,a=c.X(),h=c.Y(),n.quadraticform=[[r*r-o*(a*a+h*h),r*i+o*a,r*s+o*h],[r*i+o*a,-s*s,i*s],[r*s+o*h,i*s,-i*i]])},n.X=function(t,e){var i,s=d.getAngle(),r=h.Z.distPointLine(c.coords.usrCoords,d.stdform),n=d.point1.coords.usrCoords,a=d.point2.coords.usrCoords,l=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])*(l[2]-n[2])-(a[2]-n[2])*(l[1]-n[1])>=0?1:-1)*r/(1-Math.sin(t)),e||o(0,e),c.X()+Math.cos(t+s)*i},n.Y=function(t,e){var i,s=d.getAngle(),r=h.Z.distPointLine(c.coords.usrCoords,d.stdform),o=d.point1.coords.usrCoords,n=d.point2.coords.usrCoords,a=c.coords.usrCoords;return 0===o[0]?o=[1,n[1]+d.stdform[2],n[2]-d.stdform[1]]:0===n[0]&&(n=[1,o[1]+d.stdform[2],o[2]-d.stdform[1]]),i=((n[1]-o[1])*(a[2]-o[2])-(n[2]-o[2])*(a[1]-o[1])>=0?1:-1)*r/(1-Math.sin(t)),c.Y()+Math.sin(t+s)*i},n.type=i.Z.OBJECT_TYPE_CONIC,a.addChild(n),s.Z.isPoint(c)&&(c.addChild(n),n.inherits.push(c)),d.addChild(n),n.setParents(e),n},t.Z.createConic=function(t,e,r){var n,a,h,l,c,u,p,f,_,g,m,b,v,Z,C=[[1,0,0],[0,1,0],[0,0,1]],y=[[1,0,0],[0,1,0],[0,0,1]],P=[],E=[],O=s.Z.copyAttributes(r,t.options,"conic","point"),x=s.Z.copyAttributes(r,t.options,"conic","center"),S=s.Z.copyAttributes(r,t.options,"conic");if(5===e.length)Z=!0;else{if(6!==e.length)throw new Error("JSXGraph: Can't create generic Conic with "+e.length+" parameters.");Z=!1}if(Z)for(b=0;b<5;b++)if(e[b].length>1)P[b]=t.create("point",e[b],O);else if(s.Z.isPoint(e[b]))P[b]=t.select(e[b]);else if(s.Z.isFunction(e[b])&&s.Z.isPoint(e[b]()))P[b]=e[b]();else{if(!s.Z.isString(e[b]))throw new Error("JSXGraph: Can't create Conic section with parent types '"+typeof e[b]+"'.\nPossible parent types: [point,point,point,point,point], [a00,a11,a22,a01,a02,a12]");P[b]=t.select(e[b])}else(v=[[0,0,0],[0,0,0],[0,0,0]])[0][0]=s.Z.isFunction(e[2])?function(){return e[2]()}:function(){return e[2]},v[0][1]=s.Z.isFunction(e[4])?function(){return e[4]()}:function(){return e[4]},v[0][2]=s.Z.isFunction(e[5])?function(){return e[5]()}:function(){return e[5]},v[1][1]=s.Z.isFunction(e[0])?function(){return e[0]()}:function(){return e[0]},v[1][2]=s.Z.isFunction(e[3])?function(){return e[3]()}:function(){return e[3]},v[2][2]=s.Z.isFunction(e[1])?function(){return e[1]()}:function(){return e[1]};if(c=function(t){var e,i;for(e=0;e<3;e++)for(i=e;i<3;i++)t[e][i]+=t[i][e];for(e=0;e<3;e++)for(i=0;i<e;i++)t[e][i]=t[i][e];return t},l=function(t,e){var i,s,r=[[0,0,0],[0,0,0],[0,0,0]];for(i=0;i<3;i++)for(s=0;s<3;s++)r[i][s]=t[i]*e[s];return c(r)},h=function(t,e,i){var s,r,n,a,h,l=[[0,0,0],[0,0,0],[0,0,0]];for(h=o.Z.matVecMult(e,i),n=o.Z.innerProduct(i,h),h=o.Z.matVecMult(t,i),a=o.Z.innerProduct(i,h),s=0;s<3;s++)for(r=0;r<3;r++)l[s][r]=n*t[s][r]-a*e[s][r];return l},a=t.create("curve",[function(t){return 0},function(t){return 0},0,2*Math.PI],S),n=function(t,e){var i,r,n;if(!e){if(Z){for(i=0;i<5;i++)E[i]=P[i].coords.usrCoords;g=l(o.Z.crossProduct(E[0],E[1]),o.Z.crossProduct(E[2],E[3])),m=l(o.Z.crossProduct(E[0],E[2]),o.Z.crossProduct(E[1],E[3])),y=h(g,m,E[4])}else for(i=0;i<3;i++)for(r=i;r<3;r++)y[i][r]=v[i][r](),r>i&&(y[r][i]=y[i][r]);a.quadraticform=y,(u=d.Z.Jacobi(y))[0][0][0]<0&&(u[0][0][0]*=-1,u[0][1][1]*=-1,u[0][2][2]*=-1),C=u[1],_=Math.sqrt(Math.abs(u[0][0][0])),p=Math.sqrt(Math.abs(u[0][1][1])),f=Math.sqrt(Math.abs(u[0][2][2]))}return u[0][1][1]<=0&&u[0][2][2]<=0?n=o.Z.matVecMult(C,[1/_,Math.cos(t)/p,Math.sin(t)/f]):u[0][1][1]<=0&&u[0][2][2]>0?n=o.Z.matVecMult(C,[Math.cos(t)/_,1/p,Math.sin(t)/f]):u[0][2][2]<0&&(n=o.Z.matVecMult(C,[Math.sin(t)/_,Math.cos(t)/p,1/f])),s.Z.exists(n)?(n[1]/=n[0],n[2]/=n[0],n[0]=1):n=[1,NaN,NaN],n},a.X=function(t,e){return n(t,e)[1]},a.Y=function(t,e){return n(t,e)[2]},a.midpoint=t.create("point",[function(){var t=a.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]]}],x),a.type=i.Z.OBJECT_TYPE_CONIC,a.center=a.midpoint,a.subs={center:a.center},a.inherits.push(a.center),a.inherits=a.inherits.concat(P),Z){for(b=0;b<5;b++)s.Z.isPoint(P[b])&&P[b].addChild(a);a.setParents(e)}return a.addChild(a.center),a},t.Z.registerElement("ellipse",t.Z.createEllipse),t.Z.registerElement("hyperbola",t.Z.createHyperbola),t.Z.registerElement("parabola",t.Z.createParabola),t.Z.registerElement("conic",t.Z.createConic),t.Z.Polygon=function(e,r,o){this.constructor(e,o,i.Z.OBJECT_TYPE_POLYGON,i.Z.OBJECT_CLASS_AREA);var n,a,h,l,c,d=s.Z.copyAttributes(o,e.options,"polygon","borders");for(this.withLines=o.withlines,this.attr_line=d,this.vertices=[],n=0;n<r.length;n++)this.vertices[n]=this.board.select(r[n]),this.vertices[n]._is_new&&(delete this.vertices[n]._is_new,this.vertices[n]._is_new_pol=!0);if(this.vertices.length>0&&this.vertices[this.vertices.length-1].id!==this.vertices[0].id&&this.vertices.push(this.vertices[0]),this.borders=[],this.withLines)for(h=this.vertices.length-1,l=0;l<h;l++)n=(l+1)%h,d.id=d.ids&&d.ids[n],d.name=d.names&&d.names[n],d.strokecolor=s.Z.isArray(d.colors)&&d.colors[n%d.colors.length]||d.strokecolor,d.visible=s.Z.exists(o.borders.visible)?o.borders.visible:o.visible,!1===d.strokecolor&&(d.strokecolor="none"),(a=e.create("segment",[this.vertices[n],this.vertices[n+1]],d)).dump=!1,this.borders[n]=a,a.parentPolygon=this,this.addChild(a);for(this.inherits.push(this.vertices,this.borders),this.id=this.board.setId(this,"Py"),n=0;n<this.vertices.length-1;n++)c=this.board.select(this.vertices[n]),s.Z.exists(c._is_new_pol)?(this.addChild(c),delete c._is_new_pol):c.addChild(this);this.board.renderer.drawPolygon(this),this.board.finalizeAdding(this),this.createGradient(),this.elType="polygon",this.createLabel(),this.methodMap=t.Z.deepCopy(this.methodMap,{borders:"borders",vertices:"vertices",A:"Area",Area:"Area",Perimeter:"Perimeter",L:"Perimeter",Length:"Perimeter",boundingBox:"boundingBox",bounds:"bounds",addPoints:"addPoints",insertPoints:"insertPoints",removePoints:"removePoints"})},t.Z.Polygon.prototype=new z.Z,t.Z.extend(t.Z.Polygon.prototype,{pnpoly:function(t,e,i){return h.Z.pnpoly(t,e,this.vertices,i)},hasPoint:function(t,e){var i,r;if(s.Z.evaluate(this.visProp.hasinnerpoints)&&this.pnpoly(t,e))return!0;for(r=this.borders.length,i=0;i<r;i++)if(this.borders[i].hasPoint(t,e))return!0;return!1},updateRenderer:function(){var t,e;if(!this.needsUpdate)return this;if(this.visPropCalc.visible){for(e=this.vertices.length-("polygonalchain"===this.elType?0:1),this.isReal=!0,t=0;t<e;++t)if(!this.vertices[t].isReal){this.isReal=!1;break}if(!this.isReal)for(t in this.updateVisibility(!1),this.childElements)this.childElements.hasOwnProperty(t)&&this.childElements[t].setDisplayRendNode(!1)}return this.visPropCalc.visible&&this.board.renderer.updatePolygon(this),this.hasLabel&&this.visPropCalc.visible&&this.label&&this.label.visPropCalc.visible&&this.isReal&&(this.label.update(),this.board.renderer.updateText(this.label)),this.setDisplayRendNode(),this.needsUpdate=!1,this},getTextAnchor:function(){var t,e,s,r,o;if(0===this.vertices.length)return new u.Z(i.Z.COORDS_BY_USER,[1,0,0],this.board);for(s=t=this.vertices[0].X(),r=e=this.vertices[0].Y(),o=0;o<this.vertices.length;o++)this.vertices[o].X()<t&&(t=this.vertices[o].X()),this.vertices[o].X()>s&&(s=this.vertices[o].X()),this.vertices[o].Y()>e&&(e=this.vertices[o].Y()),this.vertices[o].Y()<r&&(r=this.vertices[o].Y());return new u.Z(i.Z.COORDS_BY_USER,[.5*(t+s),.5*(e+r)],this.board)},getLabelAnchor:t.Z.shortcut(t.Z.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.Z.deepCopy(this.visProp,this.visProp.traceattributes,!0),e.visProp.layer=this.board.options.layer.trace,e.board=this.board,s.Z.clearVisPropOld(e),e.visPropCalc={visible:s.Z.evaluate(e.visProp.visible)},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(e){var i;if(t.Z.deprecated("Element.hideElement()","Element.setDisplayRendNode()"),this.visPropCalc.visible=!1,this.board.renderer.display(this,!1),!e)for(i=0;i<this.borders.length;i++)this.borders[i].hideElement();this.hasLabel&&s.Z.exists(this.label)&&(this.label.hiddenByParent=!0,this.label.visPropCalc.visible&&this.label.hideElement())},showElement:function(e){var i;if(t.Z.deprecated("Element.showElement()","Element.setDisplayRendNode()"),this.visPropCalc.visible=!0,this.board.renderer.display(this,!0),!e)for(i=0;i<this.borders.length;i++)this.borders[i].showElement().updateRenderer();return s.Z.exists(this.label)&&this.hasLabel&&this.label.hiddenByParent&&(this.label.hiddenByParent=!1,this.label.visPropCalc.visible||this.label.showElement().updateRenderer()),this},Area:function(){return Math.abs(h.Z.signedPolygon(this.vertices,!0))},Perimeter:function(){var t,e=this.vertices.length,i=0;for(t=1;t<e;++t)i+=this.vertices[t].Dist(this.vertices[t-1]);return i},L:function(){return this.Perimeter()},boundingBox:function(){var t,e,i=[0,0,0,0],s=this.vertices.length-1;if(0===s)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;t<s;++t)(e=this.vertices[t].X())<i[0]?i[0]=e:e>i[2]&&(i[2]=e),(e=this.vertices[t].Y())>i[1]?i[1]=e:e<i[3]&&(i[3]=e);return i},bounds:function(){return this.boundingBox()},remove:function(){var t;for(t=0;t<this.borders.length;t++)this.board.removeObject(this.borders[t]);z.Z.prototype.remove.call(this)},findPoint:function(t){var e;if(!s.Z.isPoint(t))return-1;for(e=0;e<this.vertices.length;e++)if(this.vertices[e].id===t.id)return e;return-1},addPoints:function(t){var e,i=Array.prototype.slice.call(arguments);return e="polygonalchain"===this.elType?this.vertices.length-1:this.vertices.length-2,this.insertPoints.apply(this,[e].concat(i))},insertPoints:function(t,e){var i,r,o,n,a;if(0===arguments.length)return this;if(o=this.vertices.length-1,"polygon"===this.elType&&o--,t<-1||t>o)return this;for(r=arguments.length-1,i=1;i<r+1;i++)(a=s.Z.providePoints(this.board,[arguments[i]],{},"polygon",["vertices"])[0])._is_new&&(this.addChild(a),delete a._is_new),this.vertices.splice(t+i,0,a);if(this.withLines)for(n=t+1,"polygon"===this.elType?t<0?(this.vertices[this.vertices.length-1]=this.vertices[0],this.borders[this.borders.length-1].point2=this.vertices[this.vertices.length-1]):this.borders[t].point2=this.vertices[n]:t>=0&&(t<this.borders.length?this.borders[t].point2=this.vertices[n]:n=t),i=n;i<n+r;i++)this.borders.splice(i,0,this.board.create("segment",[this.vertices[i],this.vertices[i+1]],this.attr_line));return this.inherits=[],this.inherits.push(this.vertices,this.borders),this.board.update(),this},removePoints:function(t){var e,i,r,o,n=[],a=[],h=[],l=[];for("polygon"===this.elType&&(o=this.vertices.pop()),e=0;e<arguments.length;e++)r=arguments[e],s.Z.isPoint(r)&&(r=this.findPoint(r)),s.Z.isNumber(r)&&r>-1&&r<this.vertices.length&&-1===s.Z.indexOf(h,r)&&h.push(r);if(0===h.length)return"polygon"===this.elType&&this.vertices.push(o),this;for(e=0;e<h.length;e++)this.vertices[h[e]].removeChild(this);for(h=h.sort(),n=this.vertices.slice(),a=this.borders.slice(),this.withLines&&l.push([h[h.length-1]]),e=h.length-1;e>-1;e--)n[h[e]]=-1,this.withLines&&h.length>1&&h[e]-1>h[e-1]&&(l[l.length-1][1]=h[e],l.push([h[e-1]]));for(this.withLines&&(l[l.length-1][1]=h[0]),this.vertices=[],e=0;e<n.length;e++)s.Z.isPoint(n[e])&&this.vertices.push(n[e]);if("polygon"===this.elType&&this.vertices.length>1&&this.vertices[this.vertices.length-1].id!==this.vertices[0].id&&this.vertices.push(this.vertices[0]),this.withLines){for(e=0;e<l.length;e++){for(i=l[e][1]-1;i<l[e][0]+1;i++)i<0?"polygon"===this.elType&&(this.board.removeObject(this.borders[a.length-1]),a[a.length-1]=-1):i<a.length&&(this.board.removeObject(this.borders[i]),a[i]=-1);0!==l[e][1]&&l[e][0]!==n.length-1&&(a[l[e][0]-1]=this.board.create("segment",[n[l[e][1]-1],n[l[e][0]+1]],this.attr_line))}for(this.borders=[],e=0;e<a.length;e++)-1!==a[e]&&this.borders.push(a[e]);"polygon"===this.elType&&this.vertices.length>2&&(l[0][1]===this.vertices.length-1||0===l[l.length-1][1])&&this.borders.push(this.board.create("segment",[this.vertices[this.vertices.length-2],this.vertices[0]],this.attr_line))}return this.inherits=[],this.inherits.push(this.vertices,this.borders),this.board.update(),this},getParents:function(){return this.setParents(this.vertices),this.parents},getAttributes:function(){var t,e=z.Z.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,e;for(e=!!s.Z.evaluate(this.visProp.snaptogrid),t=0;t<this.vertices.length;t++)this.vertices[t].handleSnapToGrid(e,!0)},setPositionDirectly:function(t,e,i){var s,r,o,n=new u.Z(t,e,this.board),a=new u.Z(t,i,this.board);for(o=this.vertices.length-1,r=0;r<o;r++)if(!this.vertices[r].draggable())return this;return s=p.Z.subtract(n.usrCoords,a.usrCoords),this.board.create("transform",s.slice(1),{type:"translate"}).applyOnce(this.vertices.slice(0,-1)),this},sutherlandHodgman:function(e){var i,s,r,o,n,a,h,l=t.Z.Math.Geometry.sortVertices(this.vertices),c=t.Z.Math.Geometry.sortVertices(e.vertices),d=l.length-1,u=c.length-1,p=[],f=function(t,e,i){return(e[1]-t[1])*(i[2]-t[2])-(e[2]-t[2])*(i[1]-t[1])>=0};for(r=0;r<u;r++)p.push(c[r]);for(r=0;r<d;r++)for(s=p.slice(0),p=[],n=s[(i=s.length)-1],o=0;o<i;o++)a=s[o],f(l[r],l[r+1],a)?(f(l[r],l[r+1],n)||((h=t.Z.Math.Geometry.meetSegmentSegment(n,a,l[r],l[r+1]))[0][1]/=h[0][0],h[0][2]/=h[0][0],h[0][0]=1,p.push(h[0])),p.push(a)):f(l[r],l[r+1],n)&&((h=t.Z.Math.Geometry.meetSegmentSegment(n,a,l[r],l[r+1]))[0][1]/=h[0][0],h[0][2]/=h[0][0],h[0][0]=1,p.push(h[0])),n=a;return p},intersect:function(t){return this.sutherlandHodgman(t)}}),t.Z.createPolygon=function(e,r,o){var n,a,h,l,c,d,u=[],p=!1;if(s.Z.copyAttributes(o,e.options,"polygon"),null===(l=e.select(r[0]))&&(l=r[0]),s.Z.isObject(l)&&l.type===i.Z.OBJECT_TYPE_POLYGON&&s.Z.isTransformationOrArray(r[1]))for(p=!0,h=l.vertices.length-1,d=s.Z.copyAttributes(o,e.options,"polygon","vertices"),a=0;a<h;a++)d.withlabel&&(d.name=""===l.vertices[a].name?"":l.vertices[a].name+"'"),u.push(e.create("point",[l.vertices[a],r[1]],d));else if(!1===(u=s.Z.providePoints(e,r,o,"polygon",["vertices"])))throw new Error("JSXGraph: Can't create polygon / polygonalchain with parent types other than 'point' and 'coordinate arrays' or a function returning an array of coordinates. Alternatively, a polygon and a transformation can be supplied");if(c=s.Z.copyAttributes(o,e.options,"polygon"),(n=new t.Z.Polygon(e,u,c)).isDraggable=!0,p)for(n.prepareUpdate().update().updateVisibility().updateRenderer(),h=l.vertices.length-1,a=0;a<h;a++)u[a].prepareUpdate().update().updateVisibility().updateRenderer();return n},t.Z.createRegularPolygon=function(t,e,r){var o,n,a,h,l,c,d,u=[];if(a=e[(l=e.length)-1],s.Z.isNumber(a)&&(3!==e.length||a<3))throw new Error("JSXGraph: A regular polygon needs two point types and a number > 2 as input.");if(s.Z.isNumber(t.select(a))?(l--,c=!1):(a=l,c=!0),!1===(u=s.Z.providePoints(t,e.slice(0,l),r,"regularpolygon",["vertices"])))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.Z.copyAttributes(r,t.options,"regularpolygon","vertices"),n=2;n<a;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].fullUpdate()):(s.Z.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=i.Z.OBJECT_TYPE_CAS,u[n].isDraggable=!0,u[n].visProp.fixed=!1);return d=s.Z.copyAttributes(r,t.options,"regularpolygon"),(o=t.create("polygon",u,d)).elType="regularpolygon",o},t.Z.createPolygonalChain=function(t,e,i){var r,o;return r=s.Z.copyAttributes(i,t.options,"polygonalchain"),(o=t.create("polygon",e,r)).elType="polygonalchain",o.vertices.pop(),t.removeObject(o.borders[o.borders.length-1]),o.borders.pop(),o},t.Z.createParallelogram=function(t,e,i){var r,o,n,a,h;if(!1===(n=s.Z.providePoints(t,e,i,"polygon",["vertices"]))||n.length<3)throw new Error("JSXGraph: Can't create parallelogram with parent types other than 'point' and 'coordinate arrays' or a function returning an array of coordinates.");return h=s.Z.copyAttributes(i,t.options,"parallelogram",["parallelpoint"]),o=t.create("parallelpoint",n,h),a=s.Z.copyAttributes(i,t.options,"parallelogram"),(r=t.create("polygon",[n[0],n[1],o,n[2]],a)).parallelPoint=o,r.isDraggable=!0,o.isDraggable=!0,o.visProp.fixed=!1,r},t.Z.registerElement("polygon",t.Z.createPolygon),t.Z.registerElement("regularpolygon",t.Z.createRegularPolygon),t.Z.registerElement("polygonalchain",t.Z.createPolygonalChain),t.Z.registerElement("parallelogram",t.Z.createParallelogram);var V=t.Z.Polygon;t.Z.Curve=function(t,e,r){this.constructor(t,r,i.Z.OBJECT_TYPE_CURVE,i.Z.OBJECT_CLASS_CURVE),this.points=[],this.numberPoints=s.Z.evaluate(this.visProp.numberpointshigh),this.bezierDegree=1,this.dataX=null,this.dataY=null,this.ticks=[],this.qdt=null,s.Z.exists(e[0])?this.varname=e[0]:this.varname="x",this.xterm=e[1],this.yterm=e[2],this.generateTerm(this.varname,this.xterm,this.yterm,e[3],e[4]),this.updateCurve(),this.id=this.board.setId(this,"G"),this.board.renderer.drawCurve(this),this.board.finalizeAdding(this),this.createGradient(),this.elType="curve",this.createLabel(),s.Z.isString(this.xterm)&&this.notifyParents(this.xterm),s.Z.isString(this.yterm)&&this.notifyParents(this.yterm),this.methodMap=s.Z.deepCopy(this.methodMap,{generateTerm:"generateTerm",setTerm:"generateTerm",move:"moveTo",moveTo:"moveTo"})},t.Z.Curve.prototype=new z.Z,t.Z.extend(t.Z.Curve.prototype,{minX:function(){return"polar"===s.Z.evaluate(this.visProp.curvetype)?0:new u.Z(i.Z.COORDS_BY_SCREEN,[.1*-this.board.canvasWidth,0],this.board,!1).usrCoords[1]},maxX:function(){return"polar"===s.Z.evaluate(this.visProp.curvetype)?2*Math.PI:new u.Z(i.Z.COORDS_BY_SCREEN,[1.1*this.board.canvasWidth,0],this.board,!1).usrCoords[1]},X:function(t){return NaN},Y:function(t){return NaN},Z:function(t){return 1},hasPoint:function(t,e,r){var n,a,l,c,d,p,f,_,g,m,b,v,Z,C,y,P,E=[],O=s.Z.evaluate(this.visProp.numberpointslow),x=(this.maxX()-this.minX())/O,S=1/0;if(s.Z.isObject(s.Z.evaluate(this.visProp.precision))?(v=this.board._inputDevice,b=s.Z.evaluate(this.visProp.precision[v])):b=this.board.options.precision.hasPoint,t=(p=new u.Z(i.Z.COORDS_BY_SCREEN,[t,e],this.board,!1)).usrCoords[1],e=p.usrCoords[2],1===this.bezierDegree&&s.Z.evaluate(this.visProp.hasinnerpoints)&&0!==h.Z.windingNumber([1,t,e],this.points,!0))return!0;if(b+=.5*s.Z.evaluate(this.visProp.strokewidth),b*=b,Z=this.board.unitX*this.board.unitX,C=this.board.unitY*this.board.unitY,P=this.minX(),this.maxX(),s.Z.exists(this._visibleArea)&&(P=this._visibleArea[0],x=(this._visibleArea[1]-P)/O),"parameter"===(y=s.Z.evaluate(this.visProp.curvetype))||"polar"===y)for(this.transformations.length>0&&(this.updateTransformMatrix(),_=o.Z.inverse(this.transformMat),t=(a=o.Z.matVecMult(_,[1,t,e]))[1],e=a[2]),l=0,n=P;l<O;l++){if((S=(t-(c=this.X(n,true)))*(t-c)*Z+(e-(d=this.Y(n,true)))*(e-d)*C)<=b)return!0;n+=x}else if("plot"===y||"functiongraph"===y){for((!s.Z.exists(r)||r<0)&&(r=0),s.Z.exists(this.qdt)&&s.Z.evaluate(this.visProp.useqdt)&&3!==this.bezierDegree?f=(g=(m=this.qdt.query(new u.Z(i.Z.COORDS_BY_USER,[t,e],this.board))).points).length:(g=this.points,f=this.numberPoints-1),l=r;l<f;l++)if(3===this.bezierDegree?E=h.Z.projectCoordsToBeziersegment([1,t,e],this,l):m?(g[l].prev&&(E=h.Z.projectCoordsToSegment([1,t,e],g[l].prev.usrCoords,g[l].usrCoords)),g[l].next&&g[l+1]!==g[l].next&&(E=h.Z.projectCoordsToSegment([1,t,e],g[l].usrCoords,g[l].next.usrCoords))):E=h.Z.projectCoordsToSegment([1,t,e],g[l].usrCoords,g[l+1].usrCoords),E[1]>=0&&E[1]<=1&&(t-E[0][1])*(t-E[0][1])*Z+(e-E[0][2])*(e-E[0][2])*C<=b)return!0;return!1}return S<b},allocatePoints:function(){var t,e;if(e=this.numberPoints,this.points.length<this.numberPoints)for(t=this.points.length;t<e;t++)this.points[t]=new u.Z(i.Z.COORDS_BY_USER,[0,0],this.board,!1)},update:function(){return this.needsUpdate&&(s.Z.evaluate(this.visProp.trace)&&this.cloneToBackground(!0),this.updateCurve()),this},updateRenderer:function(){return this.needsUpdate?(this.visPropCalc.visible&&(this.isReal=f.checkReal(this.points),this.isReal||this.updateVisibility(!1)),this.visPropCalc.visible&&this.board.renderer.updateCurve(this),this.hasLabel&&this.visPropCalc.visible&&this.label&&this.label.visPropCalc.visible&&this.isReal&&(this.label.update(),this.board.renderer.updateText(this.label)),this.setDisplayRendNode(),this.needsUpdate=!1,this):this},updateDataArray:function(){},updateCurve:function(){var t,e,r,o,n,a,h=this.visProp.plotversion,c=!1;if(this.updateTransformMatrix(),this.updateDataArray(),e=this.minX(),r=this.maxX(),s.Z.exists(this.dataX))for(this.numberPoints=this.dataX.length,t=this.numberPoints,this.allocatePoints(),a=0;a<t;a++)o=a,s.Z.exists(this.dataY)?(n=a,this.points[a].setCoordinates(i.Z.COORDS_BY_USER,[this.dataX[a],this.dataY[a]],!1)):(n=this.X(o),this.points[a].setCoordinates(i.Z.COORDS_BY_USER,[this.dataX[a],this.Y(n,c)],!1)),this.points[a]._t=a,c=!0;else if(s.Z.evaluate(this.visProp.doadvancedplot)?1===h||s.Z.evaluate(this.visProp.doadvancedplotold)?f.updateParametricCurveOld(this,e,r):2===h?f.updateParametricCurve_v2(this,e,r):3===h?f.updateParametricCurve_v3(this,e,r):4===h?f.updateParametricCurve_v4(this,e,r):f.updateParametricCurve_v2(this,e,r):(this.board.updateQuality===this.board.BOARD_QUALITY_HIGH?this.numberPoints=s.Z.evaluate(this.visProp.numberpointshigh):this.numberPoints=s.Z.evaluate(this.visProp.numberpointslow),this.allocatePoints(),f.updateParametricCurveNaive(this,e,r,this.numberPoints)),t=this.numberPoints,s.Z.evaluate(this.visProp.useqdt)&&this.board.updateQuality===this.board.BOARD_QUALITY_HIGH)for(this.qdt=new l(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]),a<t-1&&(this.points[a].next=this.points[a+1]);for("plot"!==s.Z.evaluate(this.visProp.curvetype)&&s.Z.evaluate(this.visProp.rdpsmoothing)&&(this.points=d.Z.RamerDouglasPeucker(this.points,.2),this.numberPoints=this.points.length),t=this.numberPoints,a=0;a<t;a++)this.updateTransform(this.points[a]);return this},updateTransformMatrix:function(){var t,e,i=this.transformations.length;for(this.transformMat=[[1,0,0],[0,1,0],[0,0,1]],e=0;e<i;e++)(t=this.transformations[e]).update(),this.transformMat=o.Z.matMatMult(t.matrix,this.transformMat);return this},updateTransform:function(t){var e;return this.transformations.length>0&&(e=o.Z.matVecMult(this.transformMat,t.usrCoords),t.setCoordinates(i.Z.COORDS_BY_USER,e,!1,!0)),t},addTransform:function(t){var e,i=s.Z.isArray(t)?t:[t],r=i.length;for(e=0;e<r;e++)this.transformations.push(i[e]);return this},interpolationFunctionFromArray:function(t){var e="data"+t,i=this;return function(t,r){var o,n,a,h,l=i[e],c=l.length,d=[];if(isNaN(t))return NaN;if(t<0)return s.Z.isFunction(l[0])?l[0]():l[0];if(3===i.bezierDegree){if(t>=(c-1)/3)return s.Z.isFunction(l[l.length-1])?l[l.length-1]():l[l.length-1];for(o=3*Math.floor(t),h=1-(a=t%1),n=0;n<4;n++)s.Z.isFunction(l[o+n])?d[n]=l[o+n]():d[n]=l[o+n];return h*h*(h*d[0]+3*a*d[1])+(3*h*d[2]+a*d[3])*a*a}if((o=t>c-2?c-2:parseInt(Math.floor(t),10))===t)return s.Z.isFunction(l[o])?l[o]():l[o];for(n=0;n<2;n++)s.Z.isFunction(l[o+n])?d[n]=l[o+n]():d[n]=l[o+n];return d[0]+(d[1]-d[0])*(t-o)}},generateTerm:function(t,e,i,r,o){var n,a;s.Z.isArray(e)?(this.dataX=e,this.numberPoints=this.dataX.length,this.X=this.interpolationFunctionFromArray.apply(this,["X"]),this.visProp.curvetype="plot",this.isDraggable=!0):(this.X=s.Z.createFunction(e,this.board,t),s.Z.isString(e)?this.visProp.curvetype="functiongraph":(s.Z.isFunction(e)||s.Z.isNumber(e))&&(this.visProp.curvetype="parameter"),this.isDraggable=!0),s.Z.isArray(i)?(this.dataY=i,this.Y=this.interpolationFunctionFromArray.apply(this,["Y"])):this.Y=s.Z.createFunction(i,this.board,t),s.Z.isFunction(e)&&s.Z.isArray(i)&&(n=s.Z.createFunction(i[0],this.board,""),a=s.Z.createFunction(i[1],this.board,""),this.X=function(t){return e(t)*Math.cos(t)+n()},this.X.deps=n.deps,this.Y=function(t){return e(t)*Math.sin(t)+a()},this.Y.deps=a.deps,this.visProp.curvetype="polar"),s.Z.exists(r)?this.minX=s.Z.createFunction(r,this.board,""):delete this.minX,s.Z.exists(o)?this.maxX=s.Z.createFunction(o,this.board,""):delete this.maxX,this.addParentsFromJCFunctions([this.X,this.Y,this.minX,this.maxX])},notifyParents:function(t){var e,i,s,r=!1;for(e in s={xterm:1,yterm:1})if(s.hasOwnProperty(e)&&this.hasOwnProperty(e)&&this[e].origin)for(i in r=!0,this[e].origin.deps)this[e].origin.deps.hasOwnProperty(i)&&this[e].origin.deps[i].addChild(this);r||L.Z.findDependencies(this,t,this.board)},getLabelAnchor:function(){var t,e,r,o=.05*this.board.canvasWidth,n=.05*this.board.canvasHeight,a=.95*this.board.canvasWidth,l=.95*this.board.canvasHeight;switch(s.Z.evaluate(this.visProp.label.position)){case"ulft":e=o,r=n;break;case"llft":e=o,r=l;break;case"rt":e=a,r=.5*l;break;case"lrt":e=a,r=l;break;case"urt":e=a,r=n;break;case"top":e=.5*a,r=n;break;case"bot":e=.5*a,r=l;break;default:e=o,r=.5*l}return t=new u.Z(i.Z.COORDS_BY_SCREEN,[e,r],this.board,!1),h.Z.projectCoordsToCurve(t.usrCoords[1],t.usrCoords[2],0,this,this.board)[0]},cloneToBackground:function(){var t,e={id:this.id+"T"+this.numTraces,elementClass:i.Z.OBJECT_CLASS_CURVE,points:this.points.slice(0),bezierDegree:this.bezierDegree,numberPoints:this.numberPoints,board:this.board,visProp:s.Z.deepCopy(this.visProp,this.visProp.traceattributes,!0)};return e.visProp.layer=this.board.options.layer.trace,e.visProp.curvetype=this.visProp.curvetype,this.numTraces++,s.Z.clearVisPropOld(e),e.visPropCalc={visible:s.Z.evaluate(e.visProp.visible)},t=this.board.renderer.enhancedRendering,this.board.renderer.enhancedRendering=!0,this.board.renderer.drawCurve(e),this.board.renderer.enhancedRendering=t,this.traces[e.id]=e.rendNode,this},bounds:function(){var t,e,i,r=1/0,o=-1/0,n=1/0,a=-1/0,h=this.points.length;if(3===this.bezierDegree){for(t=0;t<h;t++)this.points[t].X=s.Z.bind((function(){return this.usrCoords[1]}),this.points[t]),this.points[t].Y=s.Z.bind((function(){return this.usrCoords[2]}),this.points[t]);return i=(e=d.Z.bezier(this.points))[3](),r=d.Z.fminbr((function(t){return e[0](t)}),[0,i]),o=d.Z.fminbr((function(t){return-e[0](t)}),[0,i]),n=d.Z.fminbr((function(t){return e[1](t)}),[0,i]),a=d.Z.fminbr((function(t){return-e[1](t)}),[0,i]),r=e[0](r),o=e[0](o),n=e[1](n),[r,a=e[1](a),o,n]}for(t=0;t<h;t++)r>this.points[t].usrCoords[1]&&(r=this.points[t].usrCoords[1]),o<this.points[t].usrCoords[1]&&(o=this.points[t].usrCoords[1]),n>this.points[t].usrCoords[2]&&(n=this.points[t].usrCoords[2]),a<this.points[t].usrCoords[2]&&(a=this.points[t].usrCoords[2]);return[r,a,o,n]},getParents:function(){var t=[this.xterm,this.yterm,this.minX(),this.maxX()];return 0!==this.parents.length&&(t=this.parents),t},moveTo:function(t){var e,r=[];return this.points.length>0&&!s.Z.evaluate(this.visProp.fixed)&&(e=this.points[0],r=3===t.length?[t[0]-e.usrCoords[0],t[1]-e.usrCoords[1],t[2]-e.usrCoords[2]]:[t[0]-e.usrCoords[1],t[1]-e.usrCoords[2]],this.setPosition(i.Z.COORDS_BY_USER,r)),this},getTransformationSource:function(){var t,e;return s.Z.exists(this._transformationSource)&&(e=this._transformationSource).elementClass===i.Z.OBJECT_CLASS_CURVE&&(t=!0),[t,e]},pnpoly:function(t,e,s){var r,o,n,a,h,l,c=this.points,d=!1;for(s===i.Z.COORDS_BY_USER?(a=(l=new u.Z(i.Z.COORDS_BY_USER,[t,e],this.board)).scrCoords[1],h=l.scrCoords[2]):(a=t,h=e),r=0,o=(n=this.points.length)-2;r<n-1;o=r++)c[r].scrCoords[2]>h!=c[o].scrCoords[2]>h&&a<(c[o].scrCoords[1]-c[r].scrCoords[1])*(h-c[r].scrCoords[2])/(c[o].scrCoords[2]-c[r].scrCoords[2])+c[r].scrCoords[1]&&(d=!d);return d}}),t.Z.createCurve=function(e,r,o){var n,a,h=s.Z.copyAttributes(o,e.options,"curve");return n=e.select(r[0],!0),s.Z.isTransformationOrArray(r[1])&&s.Z.isObject(n)&&(n.type===i.Z.OBJECT_TYPE_CURVE||n.type===i.Z.OBJECT_TYPE_ANGLE||n.type===i.Z.OBJECT_TYPE_ARC||n.type===i.Z.OBJECT_TYPE_CONIC||n.type===i.Z.OBJECT_TYPE_SECTOR)?(n.type===i.Z.OBJECT_TYPE_SECTOR?h=s.Z.copyAttributes(o,e.options,"sector"):n.type===i.Z.OBJECT_TYPE_ARC?h=s.Z.copyAttributes(o,e.options,"arc"):n.type===i.Z.OBJECT_TYPE_ANGLE?(s.Z.exists(o.withLabel)||(o.withLabel=!1),h=s.Z.copyAttributes(o,e.options,"angle")):h=s.Z.copyAttributes(o,e.options,"curve"),h=s.Z.copyAttributes(h,e.options,"curve"),(a=new t.Z.Curve(e,["x",[],[]],h)).updateDataArray=function(){var t,e=n.numberPoints;for(this.bezierDegree=n.bezierDegree,this.dataX=[],this.dataY=[],t=0;t<e;t++)this.dataX.push(n.points[t].usrCoords[1]),this.dataY.push(n.points[t].usrCoords[2]);return this},a.addTransform(r[1]),n.addChild(a),a.setParents([n]),a._transformationSource=n,a):(h=s.Z.copyAttributes(o,e.options,"curve"),new t.Z.Curve(e,["x"].concat(r),h))},t.Z.registerElement("curve",t.Z.createCurve),t.Z.createFunctiongraph=function(e,i,r){var o,n=["x","x"].concat(i);return o=s.Z.copyAttributes(r,e.options,"functiongraph"),(o=s.Z.copyAttributes(o,e.options,"curve")).curvetype="functiongraph",new t.Z.Curve(e,n,o)},t.Z.registerElement("functiongraph",t.Z.createFunctiongraph),t.Z.registerElement("plot",t.Z.createFunctiongraph),t.Z.createSpline=function(e,i,r){var o,n,a;return n=function(){var t,e=[],r=[];return[function(o,n){var a,h,l;if(!n){if(e=[],r=[],2===i.length&&s.Z.isArray(i[0])&&s.Z.isArray(i[1])&&i[0].length===i[1].length)for(a=0;a<i[0].length;a++)s.Z.isFunction(i[0][a])?e.push(i[0][a]()):e.push(i[0][a]),s.Z.isFunction(i[1][a])?r.push(i[1][a]()):r.push(i[1][a]);else for(a=0;a<i.length;a++)if(s.Z.isPoint(i[a]))e.push(i[a].X()),r.push(i[a].Y());else if(s.Z.isArray(i[a])&&2===i[a].length)for(h=0;h<i.length;h++)s.Z.isFunction(i[h][0])?e.push(i[h][0]()):e.push(i[h][0]),s.Z.isFunction(i[h][1])?r.push(i[h][1]()):r.push(i[h][1]);else s.Z.isFunction(i[a])&&2===i[a]().length&&(l=i[a](),e.push(l[0]),r.push(l[1]));t=d.Z.splineDef(e,r)}return d.Z.splineEval(o,e,r,t)},function(){return e[0]},function(){return e[e.length-1]}]},(r=s.Z.copyAttributes(r,e.options,"curve")).curvetype="functiongraph",a=n(),(o=new t.Z.Curve(e,["x","x",a[0],a[1],a[2]],r)).setParents(i),o.elType="spline",o},t.Z.registerElement("spline",t.Z.createSpline),t.Z.createCardinalSpline=function(e,i,r){var n,a,h,l,c,u,p,f,_,g,m="\nPossible parent types: [points:array, tau:number|function, type:string]";if(!s.Z.exists(i[0])||!s.Z.isArray(i[0]))throw new Error("JSXGraph: JXG.createCardinalSpline: argument 1 'points' has to be array of points or coordinate pairs"+m);if(!s.Z.exists(i[1])||!s.Z.isNumber(i[1])&&!s.Z.isFunction(i[1]))throw new Error("JSXGraph: JXG.createCardinalSpline: argument 2 'tau' has to be number between [0,1] or function'"+m);if(!s.Z.exists(i[2])||!s.Z.isString(i[2]))throw new Error("JSXGraph: JXG.createCardinalSpline: argument 3 'type' has to be string 'uniform' or 'centripetal'"+m);if(r=s.Z.copyAttributes(r,e.options,"curve"),(r=s.Z.copyAttributes(r,e.options,"cardinalspline")).curvetype="parameter",u=i[0],p=[],!r.isarrayofcoordinates&&2===u.length&&s.Z.isArray(u[0])&&s.Z.isArray(u[1])&&u[0].length===u[1].length)for(f=0;f<u[0].length;f++)p[f]=[],s.Z.isFunction(u[0][f])?p[f].push(u[0][f]()):p[f].push(u[0][f]),s.Z.isFunction(u[1][f])?p[f].push(u[1][f]()):p[f].push(u[1][f]);else for(f=0;f<u.length;f++)s.Z.isString(u[f])?p.push(e.select(u[f])):s.Z.isPoint(u[f])?p.push(u[f]):s.Z.isArray(u[f])&&2===u[f].length?(p[f]=[],s.Z.isFunction(u[f][0])?p[f].push(u[f][0]()):p[f].push(u[f][0]),s.Z.isFunction(u[f][1])?p[f].push(u[f][1]()):p[f].push(u[f][1])):s.Z.isFunction(u[f])&&2===u[f]().length&&p.push(i[f]());if(!0===r.createpoints)h=s.Z.providePoints(e,p,r,"cardinalspline",["points"]);else for(h=[],a=function(t){return{X:function(){return p[t][0]},Y:function(){return p[t][1]},Dist:function(t){var e=this.X()-t.X(),i=this.Y()-t.Y();return o.Z.hypot(e,i)}}},f=0;f<p.length;f++)s.Z.isPoint(p[f])?h.push(p[f]):h.push(a(f));for(l=i[1],c=i[2],g=["x"].concat(d.Z.CardinalSpline(h,l,c)),n=new t.Z.Curve(e,g,r),_=h.length,n.setParents(h),f=0;f<_;f++)u=h[f],s.Z.isPoint(u)&&(s.Z.exists(u._is_new)?(n.addChild(u),delete u._is_new):u.addChild(n));return n.elType="cardinalspline",n},t.Z.registerElement("cardinalspline",t.Z.createCardinalSpline),t.Z.createMetapostSpline=function(e,i,r){var o,n,a,h,l,c,d,u,p="\nPossible parent types: [points:array, controls:object";if(!s.Z.exists(i[0])||!s.Z.isArray(i[0]))throw new Error("JSXGraph: JXG.createMetapostSpline: argument 1 'points' has to be array of points or coordinate pairs"+p);if(!s.Z.exists(i[1])||!s.Z.isObject(i[1]))throw new Error("JSXGraph: JXG.createMetapostSpline: argument 2 'controls' has to be a JavaScript object'"+p);if(r=s.Z.copyAttributes(r,e.options,"curve"),(r=s.Z.copyAttributes(r,e.options,"metapostspline")).curvetype="parameter",l=i[0],c=[],!r.isarrayofcoordinates&&2===l.length&&s.Z.isArray(l[0])&&s.Z.isArray(l[1])&&l[0].length===l[1].length)for(d=0;d<l[0].length;d++)c[d]=[],s.Z.isFunction(l[0][d])?c[d].push(l[0][d]()):c[d].push(l[0][d]),s.Z.isFunction(l[1][d])?c[d].push(l[1][d]()):c[d].push(l[1][d]);else for(d=0;d<l.length;d++)s.Z.isString(l[d])?c.push(e.select(l[d])):s.Z.isPoint(l[d])?c.push(l[d]):s.Z.isArray(l[d])&&2===l[d].length?(c[d]=[],s.Z.isFunction(l[d][0])?c[d].push(l[d][0]()):c[d].push(l[d][0]),s.Z.isFunction(l[d][1])?c[d].push(l[d][1]()):c[d].push(l[d][1])):s.Z.isFunction(l[d])&&2===l[d]().length&&c.push(i[d]());if(!0===r.createpoints)a=s.Z.providePoints(e,c,r,"metapostspline",["points"]);else for(a=[],n=function(t){return{X:function(){return c[t][0]},Y:function(){return c[t][1]}}},d=0;d<c.length;d++)s.Z.isPoint(c[d])?a.push(c[d]):a.push(n);for(h=i[1],(o=new t.Z.Curve(e,["t",[],[],0,l.length-1],r)).updateDataArray=function(){var e,i,s=a.length,r=[];for(i=0;i<s;i++)r.push([a[i].X(),a[i].Y()]);e=t.Z.Math.Metapost.curve(r,h),this.dataX=e[0],this.dataY=e[1]},o.bezierDegree=3,u=a.length,o.setParents(a),d=0;d<u;d++)s.Z.isPoint(a[d])&&a[d].addChild(o);return o.elType="metapostspline",o},t.Z.registerElement("metapostspline",t.Z.createMetapostSpline),t.Z.createRiemannsum=function(t,e,i){var r,o,n,a,h,l;if((l=s.Z.copyAttributes(i,t.options,"riemannsum")).curvetype="plot",n=e[0],r=s.Z.createFunction(e[1],t,""),!s.Z.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(o=s.Z.createFunction(e[2],t,""),!s.Z.exists(o))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,l)).sum=0,h.Value=function(){return this.sum},h.updateDataArray=function(){var t=d.Z.riemann(n,r(),o(),this.minX(),this.maxX());this.dataX=t[0],this.dataY=t[1],this.sum=t[2]},h.addParentsFromJCFunctions([r,o]),h},t.Z.registerElement("riemannsum",t.Z.createRiemannsum),t.Z.createTracecurve=function(t,e,r){var o,n,a,h;if(2!==e.length)throw new Error("JSXGraph: Can't create trace curve with given parent'\nPossible parent types: [glider, point]");if(n=t.select(e[0]),a=t.select(e[1]),n.type!==i.Z.OBJECT_TYPE_GLIDER||!s.Z.isPoint(a))throw new Error("JSXGraph: Can't create trace curve with parent types '"+typeof e[0]+"' and '"+typeof e[1]+"'.\nPossible parent types: [glider, point]");return(h=s.Z.copyAttributes(r,t.options,"tracecurve")).curvetype="plot",(o=t.create("curve",[[0],[0]],h)).updateDataArray=function(){var t,e,s,r,o,l,c,d,u,p=h.numberpoints,f=n.position,_=n.slideObject,g=_.minX();for(e=(_.maxX()-g)/p,this.dataX=[],this.dataY=[],_.elementClass!==i.Z.OBJECT_CLASS_CURVE&&p++,t=0;t<p;t++){for(r in s=g+t*e,l=_.X(s)/_.Z(s),c=_.Y(s)/_.Z(s),n.setPositionDirectly(i.Z.COORDS_BY_USER,[l,c]),d=!1,this.board.objects)if(this.board.objects.hasOwnProperty(r)&&((o=this.board.objects[r])===n&&(d=!0),d&&o.needsRegularUpdate&&(u=o.visProp.trace,o.visProp.trace=!1,o.needsUpdate=!0,o.update(!0),o.visProp.trace=u,o===a)))break;this.dataX[t]=a.X(),this.dataY[t]=a.Y()}for(r in n.position=f,d=!1,this.board.objects)if(this.board.objects.hasOwnProperty(r)&&((o=this.board.objects[r])===n&&(d=!0),d&&o.needsRegularUpdate&&(u=o.visProp.trace,o.visProp.trace=!1,o.needsUpdate=!0,o.update(!0),o.visProp.trace=u,o===a)))break},o},t.Z.registerElement("tracecurve",t.Z.createTracecurve),t.Z.createStepfunction=function(t,e,i){var r,o;if(2!==e.length)throw new Error("JSXGraph: Can't create step function with given parent'\nPossible parent types: [array, array|function]");return o=s.Z.copyAttributes(i,t.options,"stepfunction"),(r=t.create("curve",e,o)).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;t<i;++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.Z.registerElement("stepfunction",t.Z.createStepfunction),t.Z.createDerivative=function(t,e,r){var o,n,a,h,l;if(1!==e.length&&e[0].class!==i.Z.OBJECT_CLASS_CURVE)throw new Error("JSXGraph: Can't create derivative curve with given parent'\nPossible parent types: [curve]");return l=s.Z.copyAttributes(r,t.options,"curve"),n=e[0],a=d.Z.D(n.X),h=d.Z.D(n.Y),(o=t.create("curve",[function(t){return n.X(t)},function(t){return h(t)/a(t)},n.minX(),n.maxX()],l)).setParents(n),o},t.Z.registerElement("derivative",t.Z.createDerivative),t.Z.createCurveIntersection=function(e,i,s){var r;if(2!==i.length)throw new Error("JSXGraph: Can't create curve intersection with given parent'\nPossible parent types: [array, array|function]");return(r=e.create("curve",[[],[]],s)).updateDataArray=function(){var e=t.Z.Math.Clip.intersection(i[0],i[1],this.board);this.dataX=e[0],this.dataY=e[1]},r},t.Z.createCurveUnion=function(e,i,s){var r;if(2!==i.length)throw new Error("JSXGraph: Can't create curve union with given parent'\nPossible parent types: [array, array|function]");return(r=e.create("curve",[[],[]],s)).updateDataArray=function(){var e=t.Z.Math.Clip.union(i[0],i[1],this.board);this.dataX=e[0],this.dataY=e[1]},r},t.Z.createCurveDifference=function(e,i,s){var r;if(2!==i.length)throw new Error("JSXGraph: Can't create curve difference with given parent'\nPossible parent types: [array, array|function]");return(r=e.create("curve",[[],[]],s)).updateDataArray=function(){var e=t.Z.Math.Clip.difference(i[0],i[1],this.board);this.dataX=e[0],this.dataY=e[1]},r},t.Z.registerElement("curvedifference",t.Z.createCurveDifference),t.Z.registerElement("curveintersection",t.Z.createCurveIntersection),t.Z.registerElement("curveunion",t.Z.createCurveUnion),t.Z.createBoxPlot=function(t,e,i){var r,o,n,a=s.Z.copyAttributes(i,t.options,"boxplot");if(3!==e.length)throw new Error("JSXGraph: Can't create box plot with given parent'\nPossible parent types: [array, number|function, number|function] containing quantiles, axis, width");if(e[0].length<5)throw new Error("JSXGraph: Can't create box plot with given parent[0]'\nparent[0] has to contain at least 5 quantiles.");for(r=t.create("curve",[[],[]],a),n=e[0].length,r.Q=[],o=0;o<n;o++)r.Q[o]=s.Z.createFunction(e[0][o],t);return r.x=s.Z.createFunction(e[1],t),r.w=s.Z.createFunction(e[2],t),r.updateDataArray=function(){var t,e,i,r,o,n,a,h,l;a=s.Z.evaluate(this.visProp.smallwidth),h=s.Z.evaluate(this.visProp.dir),i=(l=this.x())-.5*this.w(),r=l-.5*this.w()*a,o=l+.5*this.w(),t=[l,r,n=l+.5*this.w()*a,l,l,i,i,o,o,l,NaN,i,o,NaN,l,l,r,n,l],e=[this.Q[0](),this.Q[0](),this.Q[0](),this.Q[0](),this.Q[1](),this.Q[1](),this.Q[3](),this.Q[3](),this.Q[1](),this.Q[1](),NaN,this.Q[2](),this.Q[2](),NaN,this.Q[3](),this.Q[4](),this.Q[4](),this.Q[4](),this.Q[4]()],"vertical"===h?(this.dataX=t,this.dataY=e):(this.dataX=e,this.dataY=t)},r.addParentsFromJCFunctions([r.Q,r.x,r.w]),r},t.Z.registerElement("boxplot",t.Z.createBoxPlot),t.Z.createImplicitCurve=function(e,i,r){var o,n;if(1!==i.length&&3!==i.length)throw new Error("JSXGraph: Can't create curve implicitCurve with given parent'\nPossible parent types: [f] or [f, dfx, dfy]\nwith functions f, dfx, dfy");return n=s.Z.copyAttributes(r,e.options,"implicitcurve"),(o=e.create("curve",[[],[]],n)).f=s.Z.createFunction(i[0],e,"x, y"),o.dfx=s.Z.createFunction(i[1],e,"x, y"),o.dfy=s.Z.createFunction(i[2],e,"x, y"),o.updateDataArray=function(){var e,i,r,o=this.board.getBoundingBox(),n=s.Z.evaluate(this.visProp.margin);o[0]-=n,o[1]+=n,o[2]+=n,o[3]-=n,i={resolution_out:Math.max(.01,s.Z.evaluate(this.visProp.resolution_outer)),resolution_in:Math.max(.01,s.Z.evaluate(this.visProp.resolution_inner)),max_steps:s.Z.evaluate(this.visProp.max_steps),alpha_0:s.Z.evaluate(this.visProp.alpha_0),tol_u0:s.Z.evaluate(this.visProp.tol_u0),tol_newton:s.Z.evaluate(this.visProp.tol_newton),tol_cusp:s.Z.evaluate(this.visProp.tol_cusp),tol_progress:s.Z.evaluate(this.visProp.tol_progress),qdt_box:s.Z.evaluate(this.visProp.qdt_box),kappa_0:s.Z.evaluate(this.visProp.kappa_0),delta_0:s.Z.evaluate(this.visProp.delta_0),h_initial:s.Z.evaluate(this.visProp.h_initial),h_critical:s.Z.evaluate(this.visProp.h_critical),h_max:s.Z.evaluate(this.visProp.h_max),loop_dist:s.Z.evaluate(this.visProp.loop_dist),loop_dir:s.Z.evaluate(this.visProp.loop_dir),loop_detection:s.Z.evaluate(this.visProp.loop_detection),unitX:this.board.unitX,unitY:this.board.unitY},this.dataX=[],this.dataY=[],e=new t.Z.Math.ImplicitPlot(o,i,this.f,this.dfx,this.dfy),this.qdt=e.qdt,r=e.plot(),this.dataX=r[0],this.dataY=r[1]},o.elType="implicitcurve",o},t.Z.registerElement("implicitcurve",t.Z.createImplicitCurve);t.Z.Curve;t.Z.createArc=function(e,r,n){var a,l,c;if(!1===(c=s.Z.providePoints(e,r,n,"arc",["center","radiuspoint","anglepoint"]))||c.length<3)throw new Error("JSXGraph: Can't create Arc with parent types '"+typeof r[0]+"' and '"+typeof r[1]+"' and '"+typeof r[2]+"'.\nPossible parent types: [point,point,point], [arc, transformation]");return l=s.Z.copyAttributes(n,e.options,"arc"),(a=e.create("curve",[[0],[0]],l)).elType="arc",a.setParents(c),a.type=i.Z.OBJECT_TYPE_ARC,a.center=c[0],a.radiuspoint=c[1],a.point2=a.radiuspoint,a.anglepoint=c[2],a.point3=a.anglepoint,s.Z.exists(a.center._is_new)?(a.addChild(a.center),delete a.center._is_new):a.center.addChild(a),s.Z.exists(a.radiuspoint._is_new)?(a.addChild(a.radiuspoint),delete a.radiuspoint._is_new):a.radiuspoint.addChild(a),s.Z.exists(a.anglepoint._is_new)?(a.addChild(a.anglepoint),delete a.anglepoint._is_new):a.anglepoint.addChild(a),a.useDirection=l.usedirection,a.updateDataArray=function(){var t,e,i,r,o,n=1,a=this.radiuspoint,l=this.center,d=this.anglepoint,u=s.Z.evaluate(this.visProp.selection);e=h.Z.rad(a,l,d),("minor"===u&&e>Math.PI||"major"===u&&e<Math.PI)&&(n=-1),this.useDirection&&(i=c[1].coords.usrCoords,r=c[3].coords.usrCoords,o=c[2].coords.usrCoords,(i[1]-o[1])*(i[2]-r[2])-(i[2]-o[2])*(i[1]-r[1])<0?(this.radiuspoint=c[1],this.anglepoint=c[2]):(this.radiuspoint=c[2],this.anglepoint=c[1])),a=a.coords.usrCoords,l=l.coords.usrCoords,d=d.coords.usrCoords,t=h.Z.bezierArc(a,l,d,!1,n),this.dataX=t[0],this.dataY=t[1],this.bezierDegree=3,this.updateStdform(),this.updateQuadraticform()},a.Radius=function(){return this.radiuspoint.Dist(this.center)},a.getRadius=function(){return t.Z.deprecated("Arc.getRadius()","Arc.Radius()"),this.Radius()},a.Value=function(t,e){var i;return e=e||h.Z.rad(this.radiuspoint,this.center,this.anglepoint),""===(t=(t=t||"length").toLocaleLowerCase())||0===t.indexOf("len")?i=e*this.Radius():0===t.indexOf("rad")?i=e:0===t.indexOf("deg")?i=180*e/Math.PI:0===t.indexOf("sem")?i=e/Math.PI:0===t.indexOf("cir")&&(i=.5*e/Math.PI),i},a.L=function(){return this.Value("length")},a.hasPoint=function(t,e){var r,n,a,l,c,d,p,f=this.Radius();return s.Z.evaluate(this.visProp.hasinnerpoints)?this.hasPointSector(t,e):(s.Z.isObject(s.Z.evaluate(this.visProp.precision))?(p=this.board._inputDevice,d=s.Z.evaluate(this.visProp.precision[p])):d=this.board.options.precision.hasPoint,d/=Math.min(Math.abs(this.board.unitX),Math.abs(this.board.unitY)),n=new u.Z(i.Z.COORDS_BY_SCREEN,[t,e],this.board),this.transformations.length>0&&(this.updateTransformMatrix(),l=o.Z.inverse(this.transformMat),c=o.Z.matVecMult(l,n.usrCoords),n=new u.Z(i.Z.COORDS_BY_USER,c,this.board)),r=this.center.coords.distance(i.Z.COORDS_BY_USER,n),(a=Math.abs(r-f)<d)&&(a=h.Z.coordsOnArc(this,n)),a)},a.hasPointSector=function(t,e){var s=new u.Z(i.Z.COORDS_BY_SCREEN,[t,e],this.board),r=this.Radius(),o=this.center.coords.distance(i.Z.COORDS_BY_USER,s)<r;return o&&(o=h.Z.coordsOnArc(this,s)),o},a.getTextAnchor=function(){return this.center.coords},a.getLabelAnchor=function(){var t,e,r,n,a,l=h.Z.rad(this.radiuspoint,this.center,this.anglepoint),c=10/this.board.unitX,d=10/this.board.unitY,p=this.point2.coords.usrCoords,f=this.center.coords.usrCoords,_=p[1]-f[1],g=p[2]-f[2],m=s.Z.evaluate(this.visProp.selection),b=this.label?this.label.visProp:this.visProp.label;return("minor"===m&&l>Math.PI||"major"===m&&l<Math.PI)&&(l=-(2*Math.PI-l)),r=(t=new u.Z(i.Z.COORDS_BY_USER,[f[1]+Math.cos(.5*l)*_-Math.sin(.5*l)*g,f[2]+Math.sin(.5*l)*_+Math.cos(.5*l)*g],this.board)).usrCoords[1]-f[1],n=t.usrCoords[2]-f[2],r=r*((a=o.Z.hypot(r,n))+c)/a,n=n*(a+d)/a,e=[f[1]+r,f[2]+n],b.position=h.Z.calcLabelQuadrant(h.Z.rad([1,0],[0,0],e)),new u.Z(i.Z.COORDS_BY_USER,e,this.board)},a.updateQuadraticform=H.prototype.updateQuadraticform,a.updateStdform=H.prototype.updateStdform,a.methodMap=t.Z.deepCopy(a.methodMap,{getRadius:"getRadius",radius:"Radius",center:"center",radiuspoint:"radiuspoint",anglepoint:"anglepoint",Value:"Value",L:"L"}),a.prepareUpdate().update(),a},t.Z.registerElement("arc",t.Z.createArc),t.Z.createSemicircle=function(t,e,i){var r,o,n,a;if(!1===(a=s.Z.providePoints(t,e,i,"point"))||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=s.Z.copyAttributes(i,t.options,"semicircle","center"),(o=t.create("midpoint",a,n)).dump=!1,n=s.Z.copyAttributes(i,t.options,"semicircle"),(r=t.create("arc",[o,a[1],a[0]],n)).elType="semicircle",r.setParents([a[0].id,a[1].id]),r.subs={midpoint:o},r.inherits.push(o),r.midpoint=r.center=o,r},t.Z.registerElement("semicircle",t.Z.createSemicircle),t.Z.createCircumcircleArc=function(t,e,i){var r,o,n,a;if(!1===(a=s.Z.providePoints(t,e,i,"point"))||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=s.Z.copyAttributes(i,t.options,"circumcirclearc","center"),(o=t.create("circumcenter",a,n)).dump=!1,(n=s.Z.copyAttributes(i,t.options,"circumcirclearc")).usedirection=!0,(r=t.create("arc",[o,a[0],a[2],a[1]],n)).elType="circumcirclearc",r.setParents([a[0].id,a[1].id,a[2].id]),r.subs={center:o},r.inherits.push(o),r.center=o,r},t.Z.registerElement("circumcirclearc",t.Z.createCircumcircleArc),t.Z.createMinorArc=function(e,i,s){return s.selection="minor",t.Z.createArc(e,i,s)},t.Z.registerElement("minorarc",t.Z.createMinorArc),t.Z.createMajorArc=function(e,i,s){return s.selection="major",t.Z.createArc(e,i,s)},t.Z.registerElement("majorarc",t.Z.createMajorArc),t.Z.createSector=function(e,r,n){var a,l,c,d,f,_,g="invalid";if(r[0].elementClass===i.Z.OBJECT_CLASS_LINE&&r[1].elementClass===i.Z.OBJECT_CLASS_LINE&&(s.Z.isArray(r[2])||s.Z.isNumber(r[2]))&&(s.Z.isArray(r[3])||s.Z.isNumber(r[3]))&&(s.Z.isNumber(r[4])||s.Z.isFunction(r[4])||s.Z.isString(r[4])))g="2lines";else{if(!1===(_=s.Z.providePoints(e,r,n,"sector",["center","radiusPoint","anglePoint"])))throw new Error("JSXGraph: Can't create Sector with parent types '"+typeof r[0]+"' and '"+typeof r[1]+"' and '"+typeof r[2]+"'.");g="3points"}if(l=s.Z.copyAttributes(n,e.options,"sector"),(a=e.create("curve",[[0],[0]],l)).type=i.Z.OBJECT_TYPE_SECTOR,a.elType="sector",a.autoRadius=function(){var t=20/a.board.unitX,e=1/0,i=50/a.board.unitX;return s.Z.isPoint(a.center)&&(e=.3333*a.center.Dist(a.point2)),Math.max(t,Math.min(e,i))},"2lines"===g)a.Radius=function(){var t=s.Z.evaluate(r[4]);return"auto"===t?this.autoRadius():t},a.line1=e.select(r[0]),a.line2=e.select(r[1]),a.line1.addChild(a),a.line2.addChild(a),a.setParents(r),a.point1={visProp:{}},a.point2={visProp:{}},a.point3={visProp:{}},d=h.Z.meetLineLine(a.line1.stdform,a.line2.stdform,0,e),s.Z.isArray(r[2])?(2===r[2].length&&(r[2]=[1].concat(r[2])),f=h.Z.projectPointToLine({coords:{usrCoords:r[2]}},a.line1,e),f=p.Z.subtract(f.usrCoords,d.usrCoords),a.direction1=o.Z.innerProduct(f,[0,a.line1.stdform[2],-a.line1.stdform[1]],3)>=0?1:-1):a.direction1=r[2]>=0?1:-1,s.Z.isArray(r[3])?(2===r[3].length&&(r[3]=[1].concat(r[3])),f=h.Z.projectPointToLine({coords:{usrCoords:r[3]}},a.line2,e),f=p.Z.subtract(f.usrCoords,d.usrCoords),a.direction2=o.Z.innerProduct(f,[0,a.line2.stdform[2],-a.line2.stdform[1]],3)>=0?1:-1):a.direction2=r[3]>=0?1:-1,a.updateDataArray=function(){var t,e,s,r,n,l,c=[0,0,0];if(e=this.line1,s=this.line2,c=o.Z.crossProduct(e.stdform,s.stdform),Math.abs(c[0])>o.Z.eps*o.Z.eps&&(c[1]/=c[0],c[2]/=c[0],c[0]/=c[0]),t=this.direction1*this.Radius(),r=p.Z.add(c,[0,t*e.stdform[2],-t*e.stdform[1]]),t=this.direction2*this.Radius(),n=p.Z.add(c,[0,t*s.stdform[2],-t*s.stdform[1]]),this.point2.coords=new u.Z(i.Z.COORDS_BY_USER,r,a.board),this.point1.coords=new u.Z(i.Z.COORDS_BY_USER,c,a.board),this.point3.coords=new u.Z(i.Z.COORDS_BY_USER,n,a.board),Math.abs(r[0])<o.Z.eps||Math.abs(c[0])<o.Z.eps||Math.abs(n[0])<o.Z.eps)return this.dataX=[NaN],void(this.dataY=[NaN]);l=h.Z.bezierArc(r,c,n,!0,1),this.dataX=l[0],this.dataY=l[1],this.bezierDegree=3};else if("3points"===g){for(a.point1=_[0],a.point2=_[1],a.point3=_[2],c=0;c<3;c++)s.Z.exists(_[c]._is_new)?(a.addChild(_[c]),delete _[c]._is_new):_[c].addChild(a);a.useDirection=n.usedirection,a.setParents(_),s.Z.exists(_[3])&&(a.point4=_[3],a.point4.addChild(a)),a.methodMap=t.Z.deepCopy(a.methodMap,{arc:"arc",center:"center",radiuspoint:"radiuspoint",anglepoint:"anglepoint"}),a.updateDataArray=function(){var t,e,i,r,o,n=this.point2,a=this.point1,l=this.point3,c=1,d=s.Z.evaluate(this.visProp.selection);if(!n.isReal||!a.isReal||!l.isReal)return this.dataX=[NaN],void(this.dataY=[NaN]);o=h.Z.rad(n,a,l),("minor"===d&&o>Math.PI||"major"===d&&o<Math.PI)&&(c=-1),this.useDirection&&s.Z.exists(this.point4)&&(e=this.point2.coords.usrCoords,i=this.point4.coords.usrCoords,r=this.point3.coords.usrCoords,(e[1]-r[1])*(e[2]-i[2])-(e[2]-r[2])*(e[1]-i[1])>=0&&(l=this.point2,n=this.point3)),n=n.coords.usrCoords,a=a.coords.usrCoords,l=l.coords.usrCoords,t=h.Z.bezierArc(n,a,l,!0,c),this.dataX=t[0],this.dataY=t[1],this.bezierDegree=3},a.Radius=function(){return this.point2.Dist(this.point1)}}return a.center=a.point1,a.radiuspoint=a.point2,a.anglepoint=a.point3,l=s.Z.copyAttributes(n,e.options,"arc"),(l=s.Z.copyAttributes(l,e.options,"sector","arc")).withLabel=!1,l.name+="_arc","2lines"===g?(a.updateDataArray(),a.arc=e.create("arc",[function(){return a.point1.coords.usrCoords},function(){var t=a.point2.coords.distance(i.Z.COORDS_BY_USER,a.point1.coords);return 0===t?[a.point1.coords.usrCoords[1],a.point1.coords.usrCoords[2]]:[a.point1.coords.usrCoords[1]+a.Radius()*(a.point2.coords.usrCoords[1]-a.point1.coords.usrCoords[1])/t,a.point1.coords.usrCoords[2]+a.Radius()*(a.point2.coords.usrCoords[2]-a.point1.coords.usrCoords[2])/t]},function(){return a.point3.coords.usrCoords}],l)):a.arc=e.create("arc",[a.point1,function(){var t=a.point2.Dist(a.point1);return 0===t?[a.point1.X(),a.point1.Y()]:[a.point1.X()+a.Radius()*(a.point2.X()-a.point1.X())/t,a.point1.Y()+a.Radius()*(a.point2.Y()-a.point1.Y())/t]},a.point3],l),a.addChild(a.arc),a.hasPointCurve=function(t,e){var r,o,n,a,l,c,d=new u.Z(i.Z.COORDS_BY_SCREEN,[t,e],this.board),p=this.Radius(),f=this.center.coords.distance(i.Z.COORDS_BY_USER,d),_=s.Z.evaluate(this.visProp.selection);return s.Z.isObject(s.Z.evaluate(this.visProp.precision))?(l=this.board._inputDevice,a=s.Z.evaluate(this.visProp.precision[l])):a=this.board.options.precision.hasPoint,a/=Math.min(Math.abs(this.board.unitX),Math.abs(this.board.unitY)),(c=Math.abs(f-p)<a)&&(r=h.Z.rad(this.point2,this.center,d.usrCoords.slice(1)),o=0,n=h.Z.rad(this.point2,this.center,this.point3),("minor"===_&&n>Math.PI||"major"===_&&n<Math.PI)&&(o=n,n=2*Math.PI),(r<o||r>n)&&(c=!1)),c},a.hasPointSector=function(t,e){var r,o,n,a=new u.Z(i.Z.COORDS_BY_SCREEN,[t,e],this.board),l=this.Radius(),c=this.point1.coords.distance(i.Z.COORDS_BY_USER,a)<l,d=s.Z.evaluate(this.visProp.selection);return c&&(r=h.Z.rad(this.radiuspoint,this.center,a.usrCoords.slice(1)),o=0,n=h.Z.rad(this.radiuspoint,this.center,this.anglepoint),("minor"===d&&n>Math.PI||"major"===d&&n<Math.PI)&&(o=n,n=2*Math.PI),(r<o||r>n)&&(c=!1)),c},a.hasPoint=function(t,e){return s.Z.evaluate(this.visProp.highlightonsector)||s.Z.evaluate(this.visProp.hasinnerpoints)?this.hasPointSector(t,e):this.hasPointCurve(t,e)},a.getTextAnchor=function(){return this.point1.coords},a.getLabelAnchor=function(){var t,e,r,n,a,l=h.Z.rad(this.point2,this.point1,this.point3),c=13/this.board.unitX,d=13/this.board.unitY,p=this.point2.coords.usrCoords,f=this.point1.coords.usrCoords,_=p[1]-f[1],g=p[2]-f[2],m=s.Z.evaluate(this.visProp.selection),b=this.label?this.label.visProp:this.visProp.label;return("minor"===m&&l>Math.PI||"major"===m&&l<Math.PI)&&(l=-(2*Math.PI-l)),r=(t=new u.Z(i.Z.COORDS_BY_USER,[f[1]+Math.cos(.5*l)*_-Math.sin(.5*l)*g,f[2]+Math.sin(.5*l)*_+Math.cos(.5*l)*g],this.board)).usrCoords[1]-f[1],n=t.usrCoords[2]-f[2],r=r*((a=o.Z.hypot(r,n))+c)/a,n=n*(a+d)/a,e=[f[1]+r,f[2]+n],b.position=h.Z.calcLabelQuadrant(h.Z.rad([1,0],[0,0],e)),new u.Z(i.Z.COORDS_BY_USER,e,this.board)},a.setRadius=function(t){var e=s.Z.evaluate(t);"undefined"!==("auto"===t||"auto"===e?"auto":s.Z.isNumber(t)?"number":s.Z.isFunction(t)&&!s.Z.isString(e)?"function":"undefined")&&(this.visProp.radius=t),a.Radius=function(){var e=s.Z.evaluate(t);return"auto"===e?this.autoRadius():e}},a.getRadius=function(){return t.Z.deprecated("Sector.getRadius()","Sector.Radius()"),this.Radius()},a.Value=function(t){return this.arc.Value(t)},a.L=function(){return this.arc.L()},a.Area=function(){var t=this.Radius();return.5*t*t*this.Value("radians")},a.Perimeter=function(){return this.L()+2*this.Radius()},"3points"===g&&(a.setPositionDirectly=function(t,e,i){var s,r=new u.Z(t,e,this.board),o=new u.Z(t,i,this.board);return a.point1.draggable()&&a.point2.draggable()&&a.point3.draggable()?(s=p.Z.subtract(r.usrCoords,o.usrCoords),this.board.create("transform",s.slice(1),{type:"translate"}).applyOnce([a.point1,a.point2,a.point3]),this):this}),a.methodMap=t.Z.deepCopy(a.methodMap,{radius:"Radius",getRadius:"Radius",setRadius:"setRadius",Value:"Value",L:"L",Area:"Area",Perimeter:"Perimeter"}),a},t.Z.registerElement("sector",t.Z.createSector),t.Z.createCircumcircleSector=function(t,e,i){var r,o,n,a;if(!1===(a=s.Z.providePoints(t,e,i,"point")))throw new Error("JSXGraph: Can't create circumcircle sector with parent types '"+typeof e[0]+"' and '"+typeof e[1]+"' and '"+typeof e[2]+"'.");return(o=t.create("circumcenter",a.slice(0,3),n)).dump=!1,n=s.Z.copyAttributes(i,t.options,"circumcirclesector"),(r=t.create("sector",[o,a[0],a[2],a[1]],n)).elType="circumcirclesector",r.setParents(a),r.center=o,r.subs={center:o},r},t.Z.registerElement("circumcirclesector",t.Z.createCircumcircleSector),t.Z.createMinorSector=function(e,i,s){return s.selection="minor",t.Z.createSector(e,i,s)},t.Z.registerElement("minorsector",t.Z.createMinorSector),t.Z.createMajorSector=function(e,i,s){return s.selection="major",t.Z.createSector(e,i,s)},t.Z.registerElement("majorsector",t.Z.createMajorSector),t.Z.createAngle=function(t,e,r){var n,a,l,c,d,p,f="invalid";if(e[0].elementClass===i.Z.OBJECT_CLASS_LINE&&e[1].elementClass===i.Z.OBJECT_CLASS_LINE&&(s.Z.isArray(e[2])||s.Z.isNumber(e[2]))&&(s.Z.isArray(e[3])||s.Z.isNumber(e[3])))f="2lines";else{if(l={name:""},!1===(p=s.Z.providePoints(t,e,l,"point")))throw new Error("JSXGraph: Can't create angle with parent types '"+typeof e[0]+"' and '"+typeof e[1]+"' and '"+typeof e[2]+"'.");f="3points"}if(l=s.Z.copyAttributes(r,t.options,"angle"),s.Z.exists(l.name)&&""!==l.name||(l.name=t.generateName({type:i.Z.OBJECT_TYPE_ANGLE})),a=s.Z.exists(l.radius)?l.radius:0,t.suspendUpdate(),"2lines"===f?(e.push(a),(n=t.create("sector",e,l)).updateDataArraySector=n.updateDataArray,n.setAngle=function(t){},n.free=function(t){}):((n=t.create("sector",[p[1],p[0],p[2]],l)).arc.visProp.priv=!0,n.point=n.point2=n.radiuspoint=p[0],n.pointsquare=n.point3=n.anglepoint=p[2],n.Radius=function(){var t=s.Z.evaluate(a);return"auto"===t?n.autoRadius():t},n.updateDataArraySector=function(){var t,e,i=this.point2,r=this.point1,o=this.point3,n=this.Radius(),a=r.Dist(i),l=1,c=s.Z.evaluate(this.visProp.selection);e=h.Z.rad(i,r,o),("minor"===c&&e>Math.PI||"major"===c&&e<Math.PI)&&(l=-1),i=i.coords.usrCoords,r=r.coords.usrCoords,o=o.coords.usrCoords,i=[1,r[1]+(i[1]-r[1])*n/a,r[2]+(i[2]-r[2])*n/a],o=[1,r[1]+(o[1]-r[1])*n/a,r[2]+(o[2]-r[2])*n/a],t=h.Z.bezierArc(i,r,o,!0,l),this.dataX=t[0],this.dataY=t[1],this.bezierDegree=3},n.setAngle=function(t){var e,i,r,n=this.anglepoint,a=this.radiuspoint;return n.draggable()&&(e=this.board.create("transform",[t,this.center],{type:"rotate"}),n.addTransform(a,e),e.update(),n.moveTo(o.Z.matVecMult(e.matrix,a.coords.usrCoords)),r=s.Z.isFunction(t)?function(){return 2*Math.PI-t()}:function(){return 2*Math.PI-t},i=this.board.create("transform",[r,this.center],{type:"rotate"}),n.coords.on("update",(function(){i.update(),a.moveTo(o.Z.matVecMult(i.matrix,n.coords.usrCoords))})),n.setParents(a)),this},n.free=function(){var t=this.anglepoint;return t.transformations.length>0&&(t.transformations.pop(),t.isDraggable=!0,t.parents=[],t.coords.off("update")),this},n.setParents(p)),s.Z.exists(n.visProp.text)&&n.label.setText(s.Z.evaluate(n.visProp.text)),n.elType="angle",n.type=i.Z.OBJECT_TYPE_ANGLE,n.subs={},n.updateDataArraySquare=function(){var t,e,i,s,r,n,a,l,c=this.Radius();"2lines"===f&&this.updateDataArraySector(),t=this.point2,e=this.point1,i=this.point3,t=t.coords.usrCoords,e=e.coords.usrCoords,i=i.coords.usrCoords,s=h.Z.distance(t,e,3),r=h.Z.distance(i,e,3),t=[1,e[1]+(t[1]-e[1])*c/s,e[2]+(t[2]-e[2])*c/s],i=[1,e[1]+(i[1]-e[1])*c/r,e[2]+(i[2]-e[2])*c/r],n=o.Z.crossProduct(i,e),a=[-t[1]*n[1]-t[2]*n[2],t[0]*n[1],t[0]*n[2]],n=o.Z.crossProduct(t,e),l=[-i[1]*n[1]-i[2]*n[2],i[0]*n[1],i[0]*n[2]],(n=o.Z.crossProduct(a,l))[1]/=n[0],n[2]/=n[0],this.dataX=[e[1],t[1],n[1],i[1],e[1]],this.dataY=[e[2],t[2],n[2],i[2],e[2]],this.bezierDegree=1},n.updateDataArrayNone=function(){this.dataX=[NaN],this.dataY=[NaN],this.bezierDegree=1},n.updateDataArray=function(){var t=s.Z.evaluate(this.visProp.type),e=h.Z.trueAngle(this.point2,this.point1,this.point3),i=s.Z.evaluate(this.visProp.selection);("minor"===i&&e>180||"major"===i&&e<180)&&(e=360-e),Math.abs(e-90)<s.Z.evaluate(this.visProp.orthosensitivity)+o.Z.eps&&(t=s.Z.evaluate(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})},c=s.Z.copyAttributes(r,t.options,"angle","dot"),n.dot=t.create("point",[function(){var t,e,i,r,a,l,c,d,u;return s.Z.exists(n.dot)&&!n.dot.visProp.visible?[0,0]:(t=n.point2.coords.usrCoords,e=n.point1.coords.usrCoords,i=n.Radius(),r=h.Z.distance(t,e,3),a=h.Z.rad(n.point2,n.point1,n.point3),("minor"===(u=s.Z.evaluate(n.visProp.selection))&&a>Math.PI||"major"===u&&a<Math.PI)&&(a=-(2*Math.PI-a)),a*=.5,l=Math.cos(a),c=Math.sin(a),t=[1,e[1]+(t[1]-e[1])*i/r,e[2]+(t[2]-e[2])*i/r],d=[[1,0,0],[e[1]-.5*e[1]*l+.5*e[2]*c,.5*l,.5*-c],[e[2]-.5*e[1]*c-.5*e[2]*l,.5*c,.5*l]],o.Z.matVecMult(d,t))}],c),n.dot.dump=!1,n.subs.dot=n.dot,"2lines"===f)for(d=0;d<2;d++)t.select(e[d]).addChild(n.dot);else for(d=0;d<3;d++)t.select(p[d]).addChild(n.dot);return t.unsuspendUpdate(),n.Value=function(t){return""===(t=t||"radians")&&(t="radians"),n.arc.Value(t)},n.getLabelAnchor=function(){var t,e,r,a,l,c,d,p,f,_=12,g=s.Z.evaluate(n.visProp.selection),m=this.label?this.label.visProp:this.visProp.label;return s.Z.exists(this.label)&&s.Z.exists(this.label.visProp.fontsize)&&(_=s.Z.evaluate(this.label.visProp.fontsize)),_/=this.board.unitX,e=n.point2.coords.usrCoords,r=n.point1.coords.usrCoords,a=n.Radius(),l=h.Z.distance(e,r,3),c=h.Z.rad(n.point2,n.point1,n.point3),("minor"===g&&c>Math.PI||"major"===g&&c<Math.PI)&&(c=-(2*Math.PI-c)),c*=.5,d=Math.cos(c),p=Math.sin(c),e=[1,r[1]+(e[1]-r[1])*a/l,r[2]+(e[2]-r[2])*a/l],f=[[1,0,0],[r[1]-.5*r[1]*d+.5*r[2]*p,.5*d,.5*-p],[r[2]-.5*r[1]*p-.5*r[2]*d,.5*p,.5*d]],(t=o.Z.matVecMult(f,e))[1]/=t[0],t[2]/=t[0],t[0]/=t[0],l=h.Z.distance(t,r,3),t=[t[0],r[1]+(t[1]-r[1])*(a+_)/l,r[2]+(t[2]-r[2])*(a+_)/l],m.position=h.Z.calcLabelQuadrant(h.Z.rad([1,0],[0,0],t)),new u.Z(i.Z.COORDS_BY_USER,t,this.board)},n.methodMap=s.Z.deepCopy(n.methodMap,{setAngle:"setAngle",Value:"Value",free:"free"}),n},t.Z.registerElement("angle",t.Z.createAngle),t.Z.createNonreflexAngle=function(e,i,r){var o;return r.selection="minor",r=s.Z.copyAttributes(r,e.options,"nonreflexangle"),(o=t.Z.createAngle(e,i,r)).Value=function(t){var e=h.Z.rad(this.point2,this.point1,this.point3);return""===(t=t||"radians")&&(t="radians"),e=e<Math.PI?e:2*Math.PI-e,this.arc.Value(t,e)},o},t.Z.registerElement("nonreflexangle",t.Z.createNonreflexAngle),t.Z.createReflexAngle=function(e,i,r){var o;return r.selection="major",r=s.Z.copyAttributes(r,e.options,"reflexangle"),(o=t.Z.createAngle(e,i,r)).Value=function(t){var e=h.Z.rad(this.point2,this.point1,this.point3);return""===(t=t||"radians")&&(t="radians"),e=e>=Math.PI?e:2*Math.PI-e,this.arc.Value(t,e)},o},t.Z.registerElement("reflexangle",t.Z.createReflexAngle),t.Z.createOrthogonalProjection=function(t,e,r){var o,n,a,l;if(e[0]=t.select(e[0]),e[1]=t.select(e[1]),s.Z.isPointType(t,e[0])&&e[1].elementClass===i.Z.OBJECT_CLASS_LINE)n=s.Z.providePoints(t,[e[0]],r,"point")[0],o=e[1];else{if(!s.Z.isPointType(t,e[1])||e[0].elementClass!==i.Z.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]");n=s.Z.providePoints(t,[e[1]],r,"point")[0],o=e[0]}return l=s.Z.copyAttributes(r,t.options,"orthogonalprojection"),a=t.create("point",[function(){return h.Z.projectPointToLine(n,o,t)}],l),s.Z.exists(n._is_new)?(a.addChild(n),delete n._is_new):n.addChild(a),o.addChild(a),a.elType="orthogonalprojection",a.setParents([n.id,a.id]),a.update(),a.generatePolynomial=function(){var t=o.point1.symbolic.x,e=o.point1.symbolic.y,i=o.point2.symbolic.x,s=o.point2.symbolic.y,r=n.symbolic.x,h=n.symbolic.y,l=a.symbolic.x,c=a.symbolic.y;return["("+e+")*("+l+")-("+e+")*("+i+")+("+c+")*("+i+")-("+t+")*("+c+")+("+t+")*("+s+")-("+l+")*("+s+")","("+h+")*("+e+")-("+h+")*("+s+")-("+c+")*("+e+")+("+c+")*("+s+")+("+r+")*("+t+")-("+r+")*("+i+")-("+l+")*("+t+")+("+l+")*("+i+")"]},a},t.Z.createPerpendicular=function(e,r,o){var n,a,h,l;if(r[0]=e.select(r[0]),r[1]=e.select(r[1]),s.Z.isPointType(e,r[0])&&r[1].elementClass===i.Z.OBJECT_CLASS_LINE)a=r[1],n=s.Z.providePoints(e,[r[0]],o,"point")[0];else{if(!s.Z.isPointType(e,r[1])||r[0].elementClass!==i.Z.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]");a=r[0],n=s.Z.providePoints(e,[r[1]],o,"point")[0]}return l=s.Z.copyAttributes(o,e.options,"perpendicular"),(h=t.Z.createLine(e,[function(){return a.stdform[2]*n.X()-a.stdform[1]*n.Y()},function(){return-a.stdform[2]*n.Z()},function(){return a.stdform[1]*n.Z()}],l)).elType="perpendicular",h.setParents([a.id,n.id]),s.Z.exists(n._is_new)?(h.addChild(n),delete n._is_new):n.addChild(h),a.addChild(h),h},t.Z.createPerpendicularPoint=function(t,e,r){var o,n,a;if(e[0]=t.select(e[0]),e[1]=t.select(e[1]),s.Z.isPointType(t,e[0])&&e[1].elementClass===i.Z.OBJECT_CLASS_LINE)n=s.Z.providePoints(t,[e[0]],r,"point")[0],o=e[1];else{if(!s.Z.isPointType(t,e[1])||e[0].elementClass!==i.Z.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]");n=s.Z.providePoints(t,[e[1]],r,"point")[0],o=e[0]}return a=t.create("point",[function(){return h.Z.perpendicular(o,n,t)[0]}],r),s.Z.exists(n._is_new)?(a.addChild(n),delete n._is_new):n.addChild(a),o.addChild(a),a.elType="perpendicularpoint",a.setParents([n.id,o.id]),a.update(),a.generatePolynomial=function(){var t=o.point1.symbolic.x,e=o.point1.symbolic.y,i=o.point2.symbolic.x,s=o.point2.symbolic.y,r=n.symbolic.x,h=n.symbolic.y,l=a.symbolic.x,c=a.symbolic.y;return["("+e+")*("+l+")-("+e+")*("+i+")+("+c+")*("+i+")-("+t+")*("+c+")+("+t+")*("+s+")-("+l+")*("+s+")","("+h+")*("+e+")-("+h+")*("+s+")-("+c+")*("+e+")+("+c+")*("+s+")+("+r+")*("+t+")-("+r+")*("+i+")-("+l+")*("+t+")+("+l+")*("+i+")"]},a},t.Z.createPerpendicularSegment=function(e,r,o){var n,a,l,c,d;if(r[0]=e.select(r[0]),r[1]=e.select(r[1]),s.Z.isPointType(e,r[0])&&r[1].elementClass===i.Z.OBJECT_CLASS_LINE)a=r[1],n=s.Z.providePoints(e,[r[0]],o,"point")[0];else{if(!s.Z.isPointType(e,r[1])||r[0].elementClass!==i.Z.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]");a=r[0],n=s.Z.providePoints(e,[r[1]],o,"point")[0]}return d=s.Z.copyAttributes(o,e.options,"perpendicularsegment","point"),(c=t.Z.createPerpendicularPoint(e,[a,n],d)).dump=!1,s.Z.exists(o.layer)||(o.layer=e.options.layer.line),d=s.Z.copyAttributes(o,e.options,"perpendicularsegment"),(l=t.Z.createLine(e,[function(){return h.Z.perpendicular(a,n,e)[1]?[c,n]:[n,c]}],d)).point=c,s.Z.exists(n._is_new)?(l.addChild(n),delete n._is_new):n.addChild(l),a.addChild(l),l.elType="perpendicularsegment",l.setParents([n.id,a.id]),l.subs={point:c},l.inherits.push(c),l},t.Z.createMidpoint=function(t,e,r){var n,a,h,l,c;for(l=0;l<e.length;++l)e[l]=t.select(e[l]);if(2===e.length&&s.Z.isPointType(t,e[0])&&s.Z.isPointType(t,e[1]))e=s.Z.providePoints(t,e,r,"point"),n=e[0],a=e[1];else{if(1!==e.length||e[0].elementClass!==i.Z.OBJECT_CLASS_LINE)throw new Error("JSXGraph: Can't create midpoint.\nPossible parent types: [point,point], [line]");n=e[0].point1,a=e[0].point2}return c=s.Z.copyAttributes(r,t.options,"midpoint"),h=t.create("point",[function(){var t=n.coords.usrCoords[1]+a.coords.usrCoords[1];return isNaN(t)||Math.abs(n.coords.usrCoords[0])<o.Z.eps||Math.abs(a.coords.usrCoords[0])<o.Z.eps?NaN:.5*t},function(){var t=n.coords.usrCoords[2]+a.coords.usrCoords[2];return isNaN(t)||Math.abs(n.coords.usrCoords[0])<o.Z.eps||Math.abs(a.coords.usrCoords[0])<o.Z.eps?NaN:.5*t}],c),s.Z.exists(n._is_new)?(h.addChild(n),delete n._is_new):n.addChild(h),s.Z.exists(a._is_new)?(h.addChild(a),delete a._is_new):a.addChild(h),h.elType="midpoint",h.setParents([n.id,a.id]),h.prepareUpdate().update(),h.generatePolynomial=function(){var t=n.symbolic.x,e=n.symbolic.y,i=a.symbolic.x,s=a.symbolic.y,r=h.symbolic.x,o=h.symbolic.y;return["("+e+")*("+r+")-("+e+")*("+i+")+("+o+")*("+i+")-("+t+")*("+o+")+("+t+")*("+s+")-("+r+")*("+s+")","("+t+")^2 - 2*("+t+")*("+r+")+("+e+")^2-2*("+e+")*("+o+")-("+i+")^2+2*("+i+")*("+r+")-("+s+")^2+2*("+s+")*("+o+")"]},h},t.Z.createParallelPoint=function(t,e,r){var o,n,a,h,l,c;for(l=0;l<e.length;++l)e[l]=t.select(e[l]);if(3===e.length&&s.Z.isPointType(t,e[0])&&s.Z.isPointType(t,e[1])&&s.Z.isPointType(t,e[2]))e=s.Z.providePoints(t,e,r,"point"),o=e[0],n=e[1],a=e[2];else if(s.Z.isPointType(t,e[0])&&e[1].elementClass===i.Z.OBJECT_CLASS_LINE)a=s.Z.providePoints(t,[e[0]],r,"point")[0],o=e[1].point1,n=e[1].point2;else{if(!s.Z.isPointType(t,e[1])||e[0].elementClass!==i.Z.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]");a=s.Z.providePoints(t,[e[1]],r,"point")[0],o=e[0].point1,n=e[0].point2}return c=s.Z.copyAttributes(r,t.options,"parallelpoint"),h=t.create("point",[function(){return a.coords.usrCoords[1]+n.coords.usrCoords[1]-o.coords.usrCoords[1]},function(){return a.coords.usrCoords[2]+n.coords.usrCoords[2]-o.coords.usrCoords[2]}],c),s.Z.exists(o._is_new)?(h.addChild(o),delete o._is_new):o.addChild(h),s.Z.exists(n._is_new)?(h.addChild(n),delete n._is_new):n.addChild(h),s.Z.exists(a._is_new)?(h.addChild(a),delete a._is_new):a.addChild(h),h.elType="parallelpoint",h.setParents([o.id,n.id,a.id]),h.prepareUpdate().update(),h.generatePolynomial=function(){var t=o.symbolic.x,e=o.symbolic.y,i=n.symbolic.x,s=n.symbolic.y,r=a.symbolic.x,l=a.symbolic.y,c=h.symbolic.x,d=h.symbolic.y;return["("+s+")*("+c+")-("+s+")*("+r+")-("+e+")*("+c+")+("+e+")*("+r+")-("+d+")*("+i+")+("+d+")*("+t+")+("+l+")*("+i+")-("+l+")*("+t+")","("+d+")*("+t+")-("+d+")*("+r+")-("+s+")*("+t+")+("+s+")*("+r+")-("+c+")*("+e+")+("+c+")*("+l+")+("+i+")*("+e+")-("+i+")*("+l+")"]},h},t.Z.createParallel=function(t,e,i){var r,n,a,h,l,c,d=1;for(l=0;l<e.length;++l)e[l]=t.select(e[l]);return r=null,3===e.length?(r=(e=s.Z.providePoints(t,e,i,"point"))[2],d=0):s.Z.isPointType(t,e[0])?(r=s.Z.providePoints(t,[e[0]],i,"point")[0],h=function(){return e[1].stdform}):s.Z.isPointType(t,e[1])&&(r=s.Z.providePoints(t,[e[1]],i,"point")[0],h=function(){return e[0].stdform}),s.Z.exists(i.layer)||(i.layer=t.options.layer.line),c=s.Z.copyAttributes(i,t.options,"parallel","point"),(n=1===d?t.create("point",[function(){return o.Z.crossProduct([1,0,0],h())}],c):t.create("parallelpoint",e,c)).isDraggable=!0,c=s.Z.copyAttributes(i,t.options,"parallel"),(a=t.create("line",[r,n],c)).elType="parallel",a.subs={point:n},a.inherits.push(n),a.setParents([e[0].id,e[1].id]),3===e.length&&a.addParents(e[2].id),a.point=n,a},t.Z.createArrowParallel=function(e,i,r){var o,n;try{return(n=s.Z.copyAttributes(r,e.options,"arrowparallel")).firstArrow=!1,n.lastArrow=!0,(o=t.Z.createParallel(e,i,n).setAttribute({straightFirst:!1,straightLast:!1})).elType="arrowparallel",o}catch(t){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.Z.createNormal=function(t,e,r){var n,a,h,l,c,u,p,f,_;for(l=0;l<e.length;++l)e[l]=t.select(e[l]);if(1===e.length)n=e[0],a=n.slideObject;else{if(2!==e.length)throw new Error("JSXGraph: Can't create normal with parent types '"+typeof e[0]+"' and '"+typeof e[1]+"'.\nPossible parent types: [point,line], [point,circle], [glider]");if(s.Z.isPointType(t,e[0]))n=s.Z.providePoints(t,[e[0]],r,"point")[0],a=e[1];else{if(!s.Z.isPointType(t,e[1]))throw new Error("JSXGraph: Can't create normal with parent types '"+typeof e[0]+"' and '"+typeof e[1]+"'.\nPossible parent types: [point,line], [point,circle], [glider]");a=e[0],n=s.Z.providePoints(t,[e[1]],r,"point")[0]}}if(p=s.Z.copyAttributes(r,t.options,"normal"),a.elementClass===i.Z.OBJECT_CLASS_LINE)_=s.Z.copyAttributes(r,t.options,"normal","point"),f=t.create("point",[function(){var t=o.Z.crossProduct([1,0,0],a.stdform);return[t[0],-t[2],t[1]]}],_),f.isDraggable=!0,(h=t.create("line",[n,f],p)).point=f,h.subs={point:f},h.inherits.push(f);else if(a.elementClass===i.Z.OBJECT_CLASS_CIRCLE)h=t.create("line",[a.midpoint,n],p);else if(a.elementClass===i.Z.OBJECT_CLASS_CURVE)"plot"!==s.Z.evaluate(a.visProp.curvetype)?(c=a.X,u=a.Y,h=t.create("line",[function(){return-n.X()*d.Z.D(c)(n.position)-n.Y()*d.Z.D(u)(n.position)},function(){return d.Z.D(c)(n.position)},function(){return d.Z.D(u)(n.position)}],p)):h=t.create("line",[function(){var t,e,i,s,r,h,l,c,d,u,p=Math.floor(n.position),f=n.position-p;if(1===a.bezierdegree)p===a.numberPoints-1&&(p-=1,f=1);else{if(3!==a.bezierDegree)return 0;p=3*Math.floor(n.position*(a.numberPoints-1)/3),i=(n.position*(a.numberPoints-1)-p)/3,p>=a.numberPoints-1&&(p=a.numberPoints-4,i=1)}return p<0?1:1===a.bezierDegree?(a.Y(p)+f*(a.Y(p+1)-a.Y(p)))*(a.Y(p)-a.Y(p+1))-(a.X(p)+f*(a.X(p+1)-a.X(p)))*(a.X(p+1)-a.X(p)):(s=a.points[p].usrCoords,r=a.points[p+1].usrCoords,h=a.points[p+2].usrCoords,l=a.points[p+3].usrCoords,c=(1-i)*(1-i)*(r[1]-s[1])+2*(1-i)*i*(h[1]-r[1])+i*i*(l[1]-h[1]),d=(1-i)*(1-i)*(r[2]-s[2])+2*(1-i)*i*(h[2]-r[2])+i*i*(l[2]-h[2]),c/=u=o.Z.hypot(c,d),d/=u,e=[1,(t=n.coords.usrCoords)[1]-d,t[2]+c],t[2]*e[1]-t[1]*e[2])},function(){var t,e,i,s,r,h,l,c,d,u=Math.floor(n.position);if(1===a.bezierdegree)u===a.numberPoints-1&&(u-=1);else{if(3!==a.bezierDegree)return 0;u=3*Math.floor(n.position*(a.numberPoints-1)/3),e=(n.position*(a.numberPoints-1)-u)/3,u>=a.numberPoints-1&&(u=a.numberPoints-4,e=1)}return u<0?0:1===a.bezierDegree?a.X(u+1)-a.X(u):(i=a.points[u].usrCoords,s=a.points[u+1].usrCoords,r=a.points[u+2].usrCoords,h=a.points[u+3].usrCoords,l=(1-e)*(1-e)*(s[1]-i[1])+2*(1-e)*e*(r[1]-s[1])+e*e*(h[1]-r[1]),c=(1-e)*(1-e)*(s[2]-i[2])+2*(1-e)*e*(r[2]-s[2])+e*e*(h[2]-r[2]),l/=d=o.Z.hypot(l,c),c/=d,[1,(t=n.coords.usrCoords)[1]-c,t[2]+l][2]-t[2])},function(){var t,e,i,s,r,h,l,c,d,u,p=Math.floor(n.position);if(1===a.bezierdegree)p===a.numberPoints-1&&(p-=1);else{if(3!==a.bezierDegree)return 0;p=3*Math.floor(n.position*(a.numberPoints-1)/3),i=(n.position*(a.numberPoints-1)-p)/3,p>=a.numberPoints-1&&(p=a.numberPoints-4,i=1)}return p<0?0:1===a.bezierDegree?a.Y(p+1)-a.Y(p):(s=a.points[p].usrCoords,r=a.points[p+1].usrCoords,h=a.points[p+2].usrCoords,l=a.points[p+3].usrCoords,c=(1-i)*(1-i)*(r[1]-s[1])+2*(1-i)*i*(h[1]-r[1])+i*i*(l[1]-h[1]),d=(1-i)*(1-i)*(r[2]-s[2])+2*(1-i)*i*(h[2]-r[2])+i*i*(l[2]-h[2]),c/=u=o.Z.hypot(c,d),d/=u,e=[1,(t=n.coords.usrCoords)[1]-d,t[2]+c],t[1]-e[1])}],p);else{if(a.type!==i.Z.OBJECT_TYPE_TURTLE)throw new Error("JSXGraph: Can't create normal with parent types '"+typeof e[0]+"' and '"+typeof e[1]+"'.\nPossible parent types: [point,line], [point,circle], [glider]");h=t.create("line",[function(){var t,e,s=Math.floor(n.position),r=n.position-s;for(e=0;e<a.objects.length;e++)if((t=a.objects[e]).type===i.Z.OBJECT_TYPE_CURVE){if(s<t.numberPoints)break;s-=t.numberPoints}return s===t.numberPoints-1&&(s-=1,r=1),s<0?1:(t.Y(s)+r*(t.Y(s+1)-t.Y(s)))*(t.Y(s)-t.Y(s+1))-(t.X(s)+r*(t.X(s+1)-t.X(s)))*(t.X(s+1)-t.X(s))},function(){var t,e,s=Math.floor(n.position);for(e=0;e<a.objects.length;e++)if((t=a.objects[e]).type===i.Z.OBJECT_TYPE_CURVE){if(s<t.numberPoints)break;s-=t.numberPoints}return s===t.numberPoints-1&&(s-=1),s<0?0:t.X(s+1)-t.X(s)},function(){var t,e,s=Math.floor(n.position);for(e=0;e<a.objects.length;e++)if((t=a.objects[e]).type===i.Z.OBJECT_TYPE_CURVE){if(s<t.numberPoints)break;s-=t.numberPoints}return s===t.numberPoints-1&&(s-=1),s<0?0:t.Y(s+1)-t.Y(s)}],p)}return h.elType="normal",h.setParents(e),s.Z.exists(n._is_new)?(h.addChild(n),delete n._is_new):n.addChild(h),a.addChild(h),h},t.Z.createBisector=function(e,i,r){var o,n,a,l;if(i=s.Z.providePoints(e,i,r,"point"),s.Z.isPoint(i[0])&&s.Z.isPoint(i[1])&&s.Z.isPoint(i[2])){for((l=s.Z.copyAttributes(r,e.options,"bisector","point")).snapToGrid=!1,(o=e.create("point",[function(){return h.Z.angleBisector(i[0],i[1],i[2],e)}],l)).dump=!1,a=0;a<3;a++)s.Z.exists(i[a]._is_new)?(o.addChild(i[a]),delete i[a]._is_new):i[a].addChild(o);return s.Z.exists(r.layer)||(r.layer=e.options.layer.line),l=s.Z.copyAttributes(r,e.options,"bisector"),(n=t.Z.createLine(e,[i[1],o],l)).point=o,n.elType="bisector",n.setParents(i),n.subs={point:o},n.inherits.push(o),n}throw new Error("JSXGraph: Can't create angle bisector with parent types '"+typeof i[0]+"' and '"+typeof i[1]+"'.\nPossible parent types: [point,point,point]")},t.Z.createAngularBisectorsOfTwoLines=function(t,e,r){var n,a,h,l,c=t.select(e[0]),d=t.select(e[1]);if(c.elementClass!==i.Z.OBJECT_CLASS_LINE||d.elementClass!==i.Z.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 s.Z.exists(r.layer)||(r.layer=t.options.layer.line),h=s.Z.copyAttributes(r,t.options,"bisectorlines","line1"),n=t.create("line",[function(){var t=o.Z.hypot(c.stdform[1],c.stdform[2]),e=o.Z.hypot(d.stdform[1],d.stdform[2]);return c.stdform[0]/t-d.stdform[0]/e},function(){var t=o.Z.hypot(c.stdform[1],c.stdform[2]),e=o.Z.hypot(d.stdform[1],d.stdform[2]);return c.stdform[1]/t-d.stdform[1]/e},function(){var t=o.Z.hypot(c.stdform[1],c.stdform[2]),e=o.Z.hypot(d.stdform[1],d.stdform[2]);return c.stdform[2]/t-d.stdform[2]/e}],h),s.Z.exists(r.layer)||(r.layer=t.options.layer.line),h=s.Z.copyAttributes(r,t.options,"bisectorlines","line2"),a=t.create("line",[function(){var t=o.Z.hypot(c.stdform[1],c.stdform[2]),e=o.Z.hypot(d.stdform[1],d.stdform[2]);return c.stdform[0]/t+d.stdform[0]/e},function(){var t=o.Z.hypot(c.stdform[1],c.stdform[2]),e=o.Z.hypot(d.stdform[1],d.stdform[2]);return c.stdform[1]/t+d.stdform[1]/e},function(){var t=o.Z.hypot(c.stdform[1],c.stdform[2]),e=o.Z.hypot(d.stdform[1],d.stdform[2]);return c.stdform[2]/t+d.stdform[2]/e}],h),l=new B({line1:n,line2:a}),n.dump=!1,a.dump=!1,l.elType="bisectorlines",l.setParents([c.id,d.id]),l.subs={line1:n,line2:a},l},t.Z.createCircumcenter=function(e,i,r){var 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n,a,h,l,c;if(!((e=s.Z.providePoints(t,e,r,"point")).length>=3&&s.Z.isPoint(e[0])&&s.Z.isPoint(e[1])&&s.Z.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]");for(a=e[0],h=e[1],l=e[2],n=t.create("point",[function(){var e,s,r;return e=o.Z.hypot(h.X()-l.X(),h.Y()-l.Y()),s=o.Z.hypot(a.X()-l.X(),a.Y()-l.Y()),r=o.Z.hypot(h.X()-a.X(),h.Y()-a.Y()),new u.Z(i.Z.COORDS_BY_USER,[(e*a.X()+s*h.X()+r*l.X())/(e+s+r),(e*a.Y()+s*h.Y()+r*l.Y())/(e+s+r)],t)}],r),c=0;c<3;c++)s.Z.exists(e[c]._is_new)?(n.addChild(e[c]),delete e[c]._is_new):e[c].addChild(n);return n.elType="incenter",n.setParents(e),n},t.Z.createCircumcircle=function(e,i,r){var o,n,a,h;if(!1===(i=s.Z.providePoints(e,i,r,"point")))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{for(a=s.Z.copyAttributes(r,e.options,"circumcircle","center"),(o=t.Z.createCircumcenter(e,i,a)).dump=!1,s.Z.exists(r.layer)||(r.layer=e.options.layer.circle),a=s.Z.copyAttributes(r,e.options,"circumcircle"),(n=t.Z.createCircle(e,[o,i[0]],a)).elType="circumcircle",n.setParents(i),n.subs={center:o},n.inherits.push(n),h=0;h<3;h++)s.Z.exists(i[h]._is_new)?(n.addChild(i[h]),delete i[h]._is_new):i[h].addChild(n)}catch(t){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 n},t.Z.createIncircle=function(e,i,r){var n,a,h,l;if(!1===(i=s.Z.providePoints(e,i,r,"point")))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{for(l=s.Z.copyAttributes(r,e.options,"incircle","center"),(a=t.Z.createIncenter(e,i,l)).dump=!1,s.Z.exists(r.layer)||(r.layer=e.options.layer.circle),l=s.Z.copyAttributes(r,e.options,"incircle"),(h=t.Z.createCircle(e,[a,function(){var t=o.Z.hypot(i[1].X()-i[2].X(),i[1].Y()-i[2].Y()),e=o.Z.hypot(i[0].X()-i[2].X(),i[0].Y()-i[2].Y()),s=o.Z.hypot(i[1].X()-i[0].X(),i[1].Y()-i[0].Y()),r=(t+e+s)/2;return Math.sqrt((r-t)*(r-e)*(r-s)/r)}],l)).elType="incircle",h.setParents(i),n=0;n<3;n++)s.Z.exists(i[n]._is_new)?(h.addChild(i[n]),delete i[n]._is_new):i[n].addChild(h);h.center=a,h.subs={center:h.center},h.inherits.push(a)}catch(t){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 h},t.Z.createReflection=function(e,r,o){var n,a,h,l,c,d,u,p,f="\nPossible parent types: [point|line|curve|polygon|circle|arc|sector, 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t=n.point1.symbolic.x,e=n.point1.symbolic.y,i=n.point2.symbolic.x,s=n.point2.symbolic.y,r=a.symbolic.x,o=a.symbolic.y,l=h.symbolic.x,c=h.symbolic.y;return[["((",c,")-(",o,"))*((",e,")-(",s,"))+((",t,")-(",i,"))*((",l,")-(",r,"))"].join(""),["((",l,")-(",t,"))^2+((",c,")-(",e,"))^2-((",r,")-(",t,"))^2-((",o,")-(",e,"))^2"].join("")]}),h},t.Z.createMirrorElement=function(e,r,o){var n,a,h,l,c,d,u,p,f="\nPossible parent types: [point|line|curve|polygon|circle|arc|sector, point]";for(a=0;a<r.length;++a)r[a]=e.select(r[a]);if(u=s.Z.copyAttributes(o,e.options,"mirrorelement"),s.Z.isPoint(r[0]))n=s.Z.providePoints(e,[r[0]],u)[0];else{if(r[0].elementClass!==i.Z.OBJECT_CLASS_CURVE&&r[0].elementClass!==i.Z.OBJECT_CLASS_LINE&&r[0].type!==i.Z.OBJECT_TYPE_POLYGON&&r[0].elementClass!==i.Z.OBJECT_CLASS_CIRCLE)throw new Error("JSXGraph: Can't create mirror element with parent types '"+typeof r[0]+"' and '"+typeof r[1]+"'."+f);n=r[0]}if(!s.Z.isPoint(r[1]))throw new Error("JSXGraph: Can't create mirror 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s.Z.exists(n._is_new)&&(l.addChild(n),delete n._is_new),h.addChild(l),l.elType="mirrorelement",l.addParents(h),l.prepareUpdate().update(),l},t.Z.createMirrorPoint=function(e,i,s){var r=t.Z.createMirrorElement(e,i,s);return r.elType="mirrorpoint",r},t.Z.createIntegral=function(e,r,o){var n,a,h,l,c,p,f,_,g,m,b,v,Z,C,y,P=null;if(s.Z.isArray(r[0])&&r[1].elementClass===i.Z.OBJECT_CLASS_CURVE)n=r[0],a=r[1];else{if(!s.Z.isArray(r[1])||r[0].elementClass!==i.Z.OBJECT_CLASS_CURVE)throw new Error("JSXGraph: Can't create integral with parent types '"+typeof r[0]+"' and '"+typeof r[1]+"'.\nPossible parent types: [[number|function,number|function],curve]");n=r[1],a=r[0]}return(h=s.Z.copyAttributes(o,e.options,"integral")).withLabel=!1,y=e.create("curve",[[0],[0]],h),l=n[0],c=n[1],s.Z.isFunction(l)?(f=function(){return a.Y(p())},l=(p=l)()):(p=l,f=a.Y(l)),s.Z.isFunction(c)?(g=function(){return 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o,n;return n=s.Z.copyAttributes(r,t.options,"grid"),(o=t.create("curve",[[null],[null]],n)).elType="grid",o.type=i.Z.OBJECT_TYPE_GRID,o.updateDataArray=function(){var e,r,n,a,h,l,c=s.Z.evaluate(this.visProp.gridx),d=s.Z.evaluate(this.visProp.gridy);for(h=s.Z.isArray(this.visProp.topleft)?new u.Z(s.Z.evaluate(this.visProp.tltype)||i.Z.COORDS_BY_USER,this.visProp.topleft,t):new u.Z(i.Z.COORDS_BY_SCREEN,[0,0],t),l=s.Z.isArray(this.visProp.bottomright)?new u.Z(s.Z.evaluate(this.visProp.brtype)||i.Z.COORDS_BY_USER,this.visProp.bottomright,t):new 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u.Z(i.Z.COORDS_BY_USER,[this.point2.X(),this.point2.Y()],this.board)};for(r=0;r<this.label_array.length;r++)this.myAtts.name=this.label_array[r],this.myAtts.strokecolor=this.color_array[r%this.color_array.length],this.myAtts.highlightstrokecolor=this.color_array[r%this.color_array.length],this.myAtts.label={offset:[10,0],strokeColor:this.color_array[r%this.color_array.length],strokeWidth:this.myAtts.strokewidth},this.lines[r]=t.create("line",[[this.coords.usrCoords[1],this.coords.usrCoords[2]-r*n],[this.coords.usrCoords[1]+o,this.coords.usrCoords[2]-r*n]],this.myAtts),this.lines[r].getLabelAnchor=a,this.lines[r].prepareUpdate().update().updateVisibility(s.Z.evaluate(this.lines[r].visProp.visible)).updateRenderer()},t.Z.createLegend=function(e,i,r){var o=[0,0];if(!s.Z.exists(i)||2!==i.length)throw new Error("JSXGraph: Legend element needs two numbers as parameters");return o=i,new t.Z.Legend(e,o,r)},t.Z.registerElement("legend",t.Z.createLegend);t.Z.Chart,t.Z.Legend;t.Z.Transformation=function(t,e,s){this.elementClass=i.Z.OBJECT_CLASS_OTHER,this.type=i.Z.OBJECT_TYPE_TRANSFORMATION,this.matrix=[[1,0,0],[0,1,0],[0,0,1]],this.board=t,this.isNumericMatrix=!1,this.setMatrix(t,e,s),this.methodMap={apply:"apply",applyOnce:"applyOnce",bindTo:"bindTo",bind:"bindTo",melt:"melt"}},t.Z.Transformation.prototype={},t.Z.extend(t.Z.Transformation.prototype,{update:function(){return this},setMatrix:function(t,e,i){var r;for(this.isNumericMatrix=!0,r=0;r<i.length;r++)if("number"!=typeof i[r]){this.isNumericMatrix=!1;break}if("translate"===e){if(2!==i.length)throw new Error("JSXGraph: translate transformation needs 2 parameters.");this.evalParam=s.Z.createEvalFunction(t,i,2),this.update=function(){this.matrix[1][0]=this.evalParam(0),this.matrix[2][0]=this.evalParam(1)}}else if("scale"===e){if(2!==i.length)throw new Error("JSXGraph: scale transformation needs 2 parameters.");this.evalParam=s.Z.createEvalFunction(t,i,2),this.update=function(){this.matrix[1][1]=this.evalParam(0),this.matrix[2][2]=this.evalParam(1)}}else if("reflect"===e)i.length<4&&(i[0]=t.select(i[0])),2===i.length&&(i[1]=t.select(i[1])),4===i.length&&(this.evalParam=s.Z.createEvalFunction(t,i,4)),this.update=function(){var t,e,s,r,n,a,h,l;1===i.length?h=i[0].stdform:2===i.length?h=o.Z.crossProduct(i[1].coords.usrCoords,i[0].coords.usrCoords):4===i.length&&(h=o.Z.crossProduct([1,this.evalParam(2),this.evalParam(3)],[1,this.evalParam(0),this.evalParam(1)])),t=h[1],e=h[2],a=(l=[-(s=h[0])*t,-s*e,t*t+e*e])[2],r=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]=r*(1-this.matrix[1][1])-n*this.matrix[1][2],this.matrix[2][0]=n*(1-this.matrix[2][2])-r*this.matrix[2][1]};else if("rotate"===e)3===i.length?this.evalParam=s.Z.createEvalFunction(t,i,3):i.length>0&&i.length<=2&&(this.evalParam=s.Z.createEvalFunction(t,i,1),2!==i.length||s.Z.isArray(i[1])||(i[1]=t.select(i[1]))),this.update=function(){var t,e,r=this.evalParam(0),o=Math.cos(r),n=Math.sin(r);this.matrix[1][1]=o,this.matrix[1][2]=-n,this.matrix[2][1]=n,this.matrix[2][2]=o,i.length>1&&(3===i.length?(t=this.evalParam(1),e=this.evalParam(2)):s.Z.isArray(i[1])?(t=i[1][0],e=i[1][1]):(t=i[1].X(),e=i[1].Y()),this.matrix[1][0]=t*(1-o)+e*n,this.matrix[2][0]=e*(1-o)-t*n)};else if("shear"===e){if(2!==i.length)throw new Error("JSXGraph: shear transformation needs 2 parameters.");this.evalParam=s.Z.createEvalFunction(t,i,2),this.update=function(){this.matrix[1][2]=this.evalParam(0),this.matrix[2][1]=this.evalParam(1)}}else if("generic"===e){if(9!==i.length)throw new Error("JSXGraph: generic transformation needs 9 parameters.");this.evalParam=s.Z.createEvalFunction(t,i,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(),s.Z.exists(e)?o.Z.matVecMult(this.matrix,t.initialCoords.usrCoords):o.Z.matVecMult(this.matrix,t.coords.usrCoords)},applyOnce:function(t){var e,r,n;for(s.Z.isArray(t)||(t=[t]),r=t.length,n=0;n<r;n++)this.update(),e=o.Z.matVecMult(this.matrix,t[n].coords.usrCoords),t[n].coords.setCoordinates(i.Z.COORDS_BY_USER,e)},bindTo:function(t){var e,i;if(s.Z.isArray(t))for(i=t.length,e=0;e<i;e++)t[e].transformations.push(this);else t.transformations.push(this)},setProperty:function(e){t.Z.deprecated("Transformation.setProperty()","Transformation.setAttribute()")},setAttribute:function(t){},melt:function(t){var e,i,s,r,o,n,a=[];for(i=t.matrix.length,s=this.matrix[0].length,e=0;e<i;e++)a[e]=[];for(this.update(),t.update(),e=0;e<i;e++)for(n=0;n<s;n++){for(o=0,r=0;r<i;r++)o+=t.matrix[e][r]*this.matrix[r][n];a[e][n]=o}return this.update=function(){var t=this.matrix.length,i=this.matrix[0].length;for(e=0;e<t;e++)for(n=0;n<i;n++)this.matrix[e][n]=a[e][n]},this},getParents:function(){var t=[[].concat.apply([],this.matrix)];return 0!==this.parents.length&&(t=this.parents),t}}),t.Z.createTransform=function(e,i,s){return new t.Z.Transformation(e,s.type,i)},t.Z.registerElement("transform",t.Z.createTransform);t.Z.Transformation;t.Z.Turtle=function(t,e,r){var o,n,a;return this.constructor(t,r,i.Z.OBJECT_TYPE_TURTLE,i.Z.OBJECT_CLASS_OTHER),this.turtleIsHidden=!1,this.board=t,this.visProp.curveType="plot",this._attributes=s.Z.copyAttributes(this.visProp,t.options,"turtle"),delete this._attributes.id,o=0,n=0,a=90,0!==e.length&&(3===e.length?(o=e[0],n=e[1],a=e[2]):2===e.length?s.Z.isArray(e[0])?(o=e[0][0],n=e[0][1],a=e[1]):(o=e[0],n=e[1]):(o=e[0][0],n=e[0][1])),this.init(o,n,a),this.methodMap=s.Z.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",getPenColor:"getPenColor",getHighlightPenColor:"getHighlightPenColor",getPenSize:"getPenSize",pushTurtle:"pushTurtle",push:"pushTurtle",popTurtle:"popTurtle",pop:"popTurtle",lookTo:"lookTo",pos:"pos",moveTo:"moveTo",X:"X",Y:"Y"}),this},t.Z.Turtle.prototype=new z.Z,t.Z.extend(t.Z.Turtle.prototype,{init:function(t,e,i){var s={fixed:!0,name:"",visible:!1,withLabel:!1};this.arrowLen=20/o.Z.hypot(this.board.unitX,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,s),this.objects.push(this.turtle),this.turtle2=this.board.create("point",[this.pos[0],this.pos[1]+this.arrowLen],s),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.subs={arrow:this.arrow},this.inherits.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),s=t*Math.sin(this.dir*Math.PI/180);return this.turtleIsHidden||((e=this.board.create("transform",[i,s],{type:"translate"})).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]+=s,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){(this.dir-=t,this.dir%=360,this.turtleIsHidden)||this.board.create("transform",[-t*Math.PI/180,this.turtle],{type:"rotate"}).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,e;for(t=0;t<this.objects.length;t++)(e=this.objects[t]).type===i.Z.OBJECT_TYPE_CURVE&&(this.board.removeObject(e),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;t<i;t++)e=this.objects[t],this.board.removeObject(e);return this.init(0,0,90),this},setPos:function(t,e){return s.Z.isArray(t)?this.pos=t:this.pos=[t,e],this.turtleIsHidden||(this.turtle.setPositionDirectly(i.Z.COORDS_BY_USER,[t,e]),this.turtle2.setPositionDirectly(i.Z.COORDS_BY_USER,[t,e+this.arrowLen]),this.board.create("transform",[-(this.dir-90)*Math.PI/180,this.turtle],{type:"rotate"}).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},getPenAttribute:function(t){var e,i=this.objects.length;return e=4===i?0:i-1,s.Z.evaluate(this.objects[e].visProp[t])},getPenSize:function(){return this.getPenAttribute("strokewidth")},getPenColor:function(){return this.getPenAttribute("strokecolor")},getHighlightPenColor:function(){return this.getPenAttribute("highlightstrokecolor")},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 e,r,o,n=this.objects.length;for(e=0;e<n;e++)(r=this.objects[e]).type===i.Z.OBJECT_TYPE_CURVE&&r.setAttribute(t);return o=this.visProp.id,this.visProp=s.Z.deepCopy(this.curve.visProp),this.visProp.id=o,this._attributes=s.Z.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,r,o,n;return s.Z.isArray(t)?(e=this.pos[0],i=this.pos[1],r=t[0],o=t[1],n=Math.atan2(o-i,r-e),this.right(this.dir-180*n/Math.PI)):s.Z.isNumber(t)&&this.right(this.dir-t),this},moveTo:function(t){var e,i,r;return s.Z.isArray(t)&&(e=t[0]-this.pos[0],i=t[1]-this.pos[1],this.turtleIsHidden||((r=this.board.create("transform",[e,i],{type:"translate"})).applyOnce(this.turtle),r.applyOnce(this.turtle2)),this.isPenDown&&this.curve.dataX.length>=8192&&(this.curve=this.board.create("curve",[[this.pos[0]],[this.pos[1]]],this._attributes),this.objects.push(this.curve)),this.pos[0]=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,e){var s,r,o,n,a=this.objects.length;for(s=0,r=0;s<a;s++)if((o=this.objects[s]).elementClass===i.Z.OBJECT_CLASS_CURVE){if(r<=t&&t<r+o.numberPoints)return n=t-r,o[e](n);r+=o.numberPoints}return this[e]()},X:function(t){return s.Z.exists(t)?this.evalAt(t,"X"):this.pos[0]},Y:function(t){return s.Z.exists(t)?this.evalAt(t,"Y"):this.pos[1]},Z:function(t){return 1},minX:function(){return 0},maxX:function(){var t,e=this.objects.length,s=0;for(t=0;t<e;t++)this.objects[t].elementClass===i.Z.OBJECT_CLASS_CURVE&&(s+=this.objects[t].numberPoints);return s},hasPoint:function(t,e){var s,r;for(s=0;s<this.objects.length;s++)if((r=this.objects[s]).type===i.Z.OBJECT_TYPE_CURVE&&r.hasPoint(t,e))return!0;return!1}}),t.Z.createTurtle=function(e,i,r){var o;return i=i||[],o=s.Z.copyAttributes(r,e.options,"turtle"),new t.Z.Turtle(e,i,o)},t.Z.registerElement("turtle",t.Z.createTurtle);t.Z.Turtle;t.Z.Ticks=function(t,e,r){if(this.constructor(t.board,r,i.Z.OBJECT_TYPE_TICKS,i.Z.OBJECT_CLASS_OTHER),this.line=t,this.board=this.line.board,this.fixedTicks=null,this.equidistant=!1,this.labelsData=[],s.Z.isFunction(e))throw this.ticksFunction=e,new Error("Function arguments are no longer supported.");s.Z.isArray(e)?this.fixedTicks=e:this.equidistant=!0,this.ticks=[],this.labels=[],this.labelCounter=0,this.id=this.line.addTicks(this),this.elType="ticks",this.inherits.push(this.labels),this.board.setId(this,"Ti")},t.Z.Ticks.prototype=new z.Z,t.Z.extend(t.Z.Ticks.prototype,{hasPoint:function(t,e){var r,n,a,h,l=this.ticks&&this.ticks.length||0;if(s.Z.isObject(s.Z.evaluate(this.visProp.precision))?(h=this.board._inputDevice,a=s.Z.evaluate(this.visProp.precision[h])):a=this.board.options.precision.hasPoint,a+=.5*s.Z.evaluate(this.visProp.strokewidth),!s.Z.evaluate(this.line.visProp.scalable)||this.line.elementClass===i.Z.OBJECT_CLASS_CURVE)return!1;if(0!==this.line.stdform[1]&&0!==this.line.stdform[2]&&this.line.type!==i.Z.OBJECT_TYPE_AXIS)return!1;for(r=0;r<l;r++)if((n=this.ticks[r])[2]&&!(0===this.line.stdform[1]&&Math.abs(n[0][0]-this.line.point1.coords.scrCoords[1])<o.Z.eps||0===this.line.stdform[2]&&Math.abs(n[1][0]-this.line.point1.coords.scrCoords[2])<o.Z.eps)&&(Math.abs(n[0][0]-n[0][1])>=1||Math.abs(n[1][0]-n[1][1])>=1))if(0===this.line.stdform[1]){if(Math.abs(e-this.line.point1.coords.scrCoords[2])<2*a&&n[0][0]-a<t&&t<n[0][1]+a)return!0}else if(0===this.line.stdform[2]&&Math.abs(t-this.line.point1.coords.scrCoords[1])<2*a&&n[1][0]-a<e&&e<n[1][1]+a)return!0;return!1},setPositionDirectly:function(t,e,r){var n,a,h=new u.Z(t,e,this.board),l=new u.Z(t,r,this.board),c=this.board.getBoundingBox();return this.line.type===i.Z.OBJECT_TYPE_AXIS&&s.Z.evaluate(this.line.visProp.scalable)?(Math.abs(this.line.stdform[1])<o.Z.eps&&Math.abs(h.usrCoords[1]*l.usrCoords[1])>o.Z.eps?(n=l.usrCoords[1]/h.usrCoords[1],c[0]*=n,c[2]*=n,this.board.setBoundingBox(c,this.board.keepaspectratio,"update")):Math.abs(this.line.stdform[2])<o.Z.eps&&Math.abs(h.usrCoords[2]*l.usrCoords[2])>o.Z.eps&&(a=l.usrCoords[2]/h.usrCoords[2],c[3]*=a,c[1]*=a,this.board.setBoundingBox(c,this.board.keepaspectratio,"update")),this):this},calculateTicksCoordinates:function(){var t,e,r,n;if(!(this.line.elementClass===i.Z.OBJECT_CLASS_LINE&&(this.setTicksSizeVariables(),Math.abs(this.dx)<o.Z.eps&&Math.abs(this.dy)<o.Z.eps)))return t=this.getZeroCoordinates(),e=this.line.elementClass===i.Z.OBJECT_CLASS_LINE?this.getLowerAndUpperBounds(t,"ticksdistance"):{lower:this.line.minX(),upper:this.line.maxX(),a1:0,a2:0,m1:0,m2:0},"polar"===s.Z.evaluate(this.visProp.type)&&(n=this.board.getBoundingBox(),r=Math.max(o.Z.hypot(n[0],n[1]),o.Z.hypot(n[2],n[3])),e.upper=r),this.ticks=[],this.labelsData=[],this.equidistant?this.generateEquidistantTicks(t,e):this.generateFixedTicks(t,e),this},setTicksSizeVariables:function(t){var e,i,r,n,a=.5*s.Z.evaluate(this.visProp.majorheight),h=.5*s.Z.evaluate(this.visProp.minorheight);s.Z.exists(t)?(i=this.line.minX(),r=this.line.maxX(),(n=this.line.points.length)<2?(this.dxMaj=0,this.dyMaj=0):o.Z.relDif(t,i)<o.Z.eps?(this.dxMaj=this.line.points[0].usrCoords[2]-this.line.points[1].usrCoords[2],this.dyMaj=this.line.points[1].usrCoords[1]-this.line.points[0].usrCoords[1]):o.Z.relDif(t,r)<o.Z.eps?(this.dxMaj=this.line.points[n-2].usrCoords[2]-this.line.points[n-1].usrCoords[2],this.dyMaj=this.line.points[n-1].usrCoords[1]-this.line.points[n-2].usrCoords[1]):(this.dxMaj=-d.Z.D(this.line.Y)(t),this.dyMaj=d.Z.D(this.line.X)(t))):(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,e=o.Z.hypot(this.dxMaj*this.board.unitX,this.dyMaj*this.board.unitY),this.dxMaj*=a/e*this.board.unitX,this.dyMaj*=a/e*this.board.unitY,this.dxMin*=h/e*this.board.unitX,this.dyMin*=h/e*this.board.unitY,this.minStyle=s.Z.evaluate(this.visProp.minorheight)<0?"infinite":"finite",this.majStyle=s.Z.evaluate(this.visProp.majorheight)<0?"infinite":"finite"},getZeroCoordinates:function(){var t,e,r,o,n,a,l,c,d=s.Z.evaluate(this.visProp.anchor);return this.line.elementClass===i.Z.OBJECT_CLASS_LINE?this.line.type===i.Z.OBJECT_TYPE_AXIS?h.Z.projectPointToLine({coords:{usrCoords:[1,0,0]}},this.line,this.board):(r=this.line.point1.coords.usrCoords[0],t=this.line.point1.coords.usrCoords[1],e=this.line.point1.coords.usrCoords[2],a=this.line.point2.coords.usrCoords[0],o=this.line.point2.coords.usrCoords[1],n=this.line.point2.coords.usrCoords[2],"right"===d?this.line.point2.coords:"middle"===d?new u.Z(i.Z.COORDS_BY_USER,[.5*(r+a),.5*(t+o),.5*(e+n)],this.board):s.Z.isNumber(d)?new u.Z(i.Z.COORDS_BY_USER,[r+(a-r)*d,t+(o-t)*d,e+(n-e)*d],this.board):this.line.point1.coords):(l=this.line.minX(),c=this.line.maxX(),"right"===d?c:"middle"===d?.5*(l+c):s.Z.isNumber(d)?l*(1-d)+c*d:l)},getLowerAndUpperBounds:function(t,e){var r,n,a,l,c,d,p,f,_,g,m,b,v,Z,C,y,P=10*o.Z.eps,E=s.Z.evaluate(this.line.visProp.straightfirst),O=s.Z.evaluate(this.line.visProp.straightlast),x=s.Z.evaluate(this.visProp.includeboundaries);return this.line.elementClass===i.Z.OBJECT_CLASS_CURVE?{lower:this.line.minX(),upper:this.line.maxX()}:(c=new u.Z(i.Z.COORDS_BY_USER,this.line.point1.coords.usrCoords,this.board),d=new u.Z(i.Z.COORDS_BY_USER,this.line.point2.coords.usrCoords,this.board),p=Math.abs(c.usrCoords[0])>=o.Z.eps&&c.scrCoords[1]>=0&&c.scrCoords[1]<=this.board.canvasWidth&&c.scrCoords[2]>=0&&c.scrCoords[2]<=this.board.canvasHeight,f=Math.abs(d.usrCoords[0])>=o.Z.eps&&d.scrCoords[1]>=0&&d.scrCoords[1]<=this.board.canvasWidth&&d.scrCoords[2]>=0&&d.scrCoords[2]<=this.board.canvasHeight,s.Z.exists(e)&&"ticksdistance"===e?(h.Z.calcStraight(this.line,c,d,0),C=this.getDistanceFromZero(t,c),y=this.getDistanceFromZero(t,d),h.Z.calcStraight(this.line,c,d,s.Z.evaluate(this.line.visProp.margin)),C=this.getDistanceFromZero(t,c)-C,y=this.getDistanceFromZero(t,d).m2):h.Z.calcLineDelimitingPoints(this.line,c,d),(b=((b=Math.atan2(this.line.point2.Y()-this.line.point1.Y(),this.line.point2.X()-this.line.point1.X()))+2*Math.PI)%(2*Math.PI))>.5*Math.PI&&b<3*Math.PI*.5&&(c.usrCoords[1]*=-1,d.usrCoords[1]*=-1,c.usr2screen(),d.usr2screen()),b>Math.PI&&b<2*Math.PI&&(c.usrCoords[2]*=-1,d.usrCoords[2]*=-1,c.usr2screen(),d.usr2screen()),a=s.Z.evaluate(this.line.visProp.firstarrow),l=s.Z.evaluate(this.line.visProp.lastarrow),v=this.getDistanceFromZero(t,c),Z=this.getDistanceFromZero(t,d),(a||l)&&(m=this.board.renderer.getArrowHeadData(this.line,s.Z.evaluate(this.line.visProp.strokewidth),""),this.board.renderer.getPositionArrowHead(this.line,c,d,m)),(_=this.getDistanceFromZero(t,c))<(g=this.getDistanceFromZero(t,d))?(r=_,n=g,E||!p||x||(r+=P),O||!f||x||(n-=P)):g<_?(r=g,n=_,O||!f||x||(r+=P),E||!p||x||(n-=P)):(r=0,n=0),{lower:r,upper:n,a1:v=_-v,a2:Z=_-Z,m1:C,m2:y})},getDistanceFromZero:function(t,e){var s,r,n,a,h;return s=this.line.point1.coords,r=this.line.point2.coords,h=t.distance(i.Z.COORDS_BY_USER,e),n=[r.usrCoords[0]-s.usrCoords[0],r.usrCoords[1]-s.usrCoords[1],r.usrCoords[2]-s.usrCoords[2]],a=[e.usrCoords[0]-t.usrCoords[0],e.usrCoords[1]-t.usrCoords[1],e.usrCoords[2]-t.usrCoords[2]],o.Z.innerProduct(n,a,3)<0&&(h*=-1),h},generateEquidistantTicks:function(t,e){var r,n,a,h=o.Z.eps,l=s.Z.evaluate(this.visProp.minorticks);if(a=this.getDistanceMajorTicks(),this.line.elementClass===i.Z.OBJECT_CLASS_LINE&&(n=this.getXandYdeltas()),a*=s.Z.evaluate(this.visProp.scale),a/=l+1,this.ticksDelta=a,!(a<o.Z.eps)){for(r=0,s.Z.evaluate(this.visProp.drawzero)||(r=a);r<=e.upper+h&&(r>=e.lower-h&&this.processTickPosition(t,r,a,n),r+=a,!(e.upper-r>1e4*a)););for(r=-a;r>=e.lower-h&&(r<=e.upper+h&&this.processTickPosition(t,r,a,n),!((r-=a)-e.lower>1e4*a)););}},getDistanceMajorTicks:function(){var t,e,i,r,n,a,h,l;return s.Z.evaluate(this.visProp.insertticks)?(a=((i=this.getLowerAndUpperBounds(this.getZeroCoordinates(),"")).upper-i.lower)/6/(n=s.Z.evaluate(this.visProp.scale)),h=s.Z.evaluate(this.visProp.minticksdistance)/n,l=s.Z.evaluate(this.visProp.minorticks),(r=this.getXandYdeltas()).x*=this.board.unitX,r.y*=this.board.unitY,h/=o.Z.hypot(r.x,r.y),h*=l+1,2*(t=Math.pow(10,Math.floor(Math.log(h)/Math.LN10)))>=h?t*=2:5*t>=h&&(t*=5),5*(e=Math.pow(10,Math.floor(Math.log(a)/Math.LN10)))<a?e*=5:2*e<a&&(e*=2),t=Math.max(t,e)):s.Z.evaluate(this.visProp.ticksdistance)},processTickPosition:function(t,e,r,o){var n,a,h,l,c,d=s.Z.evaluate(this.visProp.ticksperlabel),p=null;this.line.elementClass===i.Z.OBJECT_CLASS_LINE?(n=t.usrCoords[1]+e*o.x,a=t.usrCoords[2]+e*o.y):(n=this.line.X(t+e),a=this.line.Y(t+e)),h=new u.Z(i.Z.COORDS_BY_USER,[n,a],this.board),this.line.elementClass===i.Z.OBJECT_CLASS_CURVE&&(p=t+e,this.setTicksSizeVariables(p)),h.major=Math.round(e/r)%(s.Z.evaluate(this.visProp.minorticks)+1)==0,d||(d=s.Z.evaluate(this.visProp.minorticks)+1),c=Math.round(e/r)%d==0,3===(l=this.createTickPath(h,h.major)).length&&(this.ticks.push(l),c&&s.Z.evaluate(this.visProp.drawlabels)?this.labelsData.push(this.generateLabelData(this.generateLabelText(h,t,p),h,this.ticks.length)):this.labelsData.push(null))},generateFixedTicks:function(t,e){var r,n,a,h,l,c,d,p,f=o.Z.eps,_=s.Z.isArray(this.visProp.labels),g=s.Z.evaluate(this.visProp.drawlabels);for(this.line.elementClass===i.Z.OBJECT_CLASS_LINE&&(p=this.getXandYdeltas()),a=0;a<this.fixedTicks.length;a++)this.line.elementClass===i.Z.OBJECT_CLASS_LINE?(d=this.fixedTicks[a],l=t.usrCoords[1]+d*p.x,c=t.usrCoords[2]+d*p.y):(d=t+this.fixedTicks[a],l=this.line.X(d),c=this.line.Y(d)),r=new u.Z(i.Z.COORDS_BY_USER,[l,c],this.board),this.line.elementClass===i.Z.OBJECT_CLASS_CURVE&&this.setTicksSizeVariables(d),3===(h=this.createTickPath(r,!0)).length&&d>=e.lower-f&&d<=e.upper+f&&(this.ticks.push(h),g&&(_||s.Z.exists(this.visProp.labels[a]))?(n=_?s.Z.evaluate(this.visProp.labels[a]):d,this.labelsData.push(this.generateLabelData(this.generateLabelText(r,t,n),r,a))):this.labelsData.push(null))},getXandYdeltas:function(){var t,e,s=this.line.point1.Dist(this.line.point2);return this.line.type===i.Z.OBJECT_TYPE_AXIS?(t=this.line.point1.coords.usrCoords,e=this.line.point2.coords.usrCoords,(t[1]>e[1]||Math.abs(t[1]-e[1])<o.Z.eps&&t[2]>e[2])&&(t=this.line.point2.coords.usrCoords,e=this.line.point1.coords.usrCoords)):(t=this.line.point1.coords.usrCoords,e=this.line.point2.coords.usrCoords),{x:(e[1]-t[1])/s,y:(e[2]-t[2])/s}},_isInsideCanvas:function(t,e,i){var s=this.board.canvasWidth,r=this.board.canvasHeight;return void 0===i&&(i=0),t[0]>=i&&t[0]<=s-i&&e[0]>=i&&e[0]<=r-i||t[1]>=i&&t[1]<=s-i&&e[1]>=i&&e[1]<=r-i},createTickPath:function(t,e){var i,r,n,a,l,c,d,u,p,f,_,g,m,b,v,Z,C,y=[-2e6,-2e6],P=[-2e6,-2e6];if(i=t.scrCoords,e?(a=this.dxMaj,l=this.dyMaj,p=this.majStyle,v=s.Z.evaluate(this.visProp.majortickendings[0])>0,Z=s.Z.evaluate(this.visProp.majortickendings[1])>0):(a=this.dxMin,l=this.dyMin,p=this.minStyle,v=s.Z.evaluate(this.visProp.tickendings[0])>0,Z=s.Z.evaluate(this.visProp.tickendings[1])>0),r=[-l*i[1]-a*i[2],l,a],e&&"polar"===s.Z.evaluate(this.visProp.type)){if(g=this.board.getBoundingBox(),b=(m=2*Math.PI)/180,i=t.usrCoords,(_=o.Z.hypot(i[1],i[2]))<Math.max(o.Z.hypot(g[0],g[1]),o.Z.hypot(g[2],g[3]))){for(y=[],P=[],f=0;f<=m;f+=b)y.push(this.board.origin.scrCoords[1]+_*Math.cos(f)*this.board.unitX),P.push(this.board.origin.scrCoords[2]+_*Math.sin(f)*this.board.unitY);return[y,P,e]}}else{if("infinite"===p){if(s.Z.evaluate(this.visProp.ignoreinfinitetickendings)&&(v=Z=!0),n=h.Z.meetLineBoard(r,this.board),v&&Z)y[0]=n[0].scrCoords[1],y[1]=n[1].scrCoords[1],P[0]=n[0].scrCoords[2],P[1]=n[1].scrCoords[2];else if((C=[o.Z.innerProduct(n[0].usrCoords.slice(1,3),this.line.stdform.slice(1,3))+this.line.stdform[0],o.Z.innerProduct(n[1].usrCoords.slice(1,3),this.line.stdform.slice(1,3))+this.line.stdform[0]])[0]<C[1]&&(n.reverse(),C.reverse()),v){if(C[0]<0)return[];C[1]<0?(y[0]=n[0].scrCoords[1],P[0]=n[0].scrCoords[2],y[1]=i[1],P[1]=i[2]):(y[0]=n[0].scrCoords[1],P[0]=n[0].scrCoords[2],y[1]=n[1].scrCoords[1],P[1]=n[1].scrCoords[2])}else if(Z){if(C[1]>0)return[];C[0]>0?(y[0]=i[1],P[0]=i[2],y[1]=n[1].scrCoords[1],P[1]=n[1].scrCoords[2]):(y[0]=n[0].scrCoords[1],P[0]=n[0].scrCoords[2],y[1]=n[1].scrCoords[1],P[1]=n[1].scrCoords[2])}}else u=">"===s.Z.evaluate(this.visProp.face)?Math.PI/4:"<"===s.Z.evaluate(this.visProp.face)?-Math.PI/4:0,c=Math.cos(u)*a-Math.sin(u)*l,d=Math.sin(u)*a+Math.cos(u)*l,y[0]=i[1]+c*v,P[0]=i[2]-d*v,y[1]=i[1],P[1]=i[2],u=-u,c=Math.cos(u)*a-Math.sin(u)*l,d=Math.sin(u)*a+Math.cos(u)*l,y[2]=i[1]-c*Z,P[2]=i[2]+d*Z;if(this._isInsideCanvas(y,P))return[y,P,e]}return[]},formatLabelText:function(t){var e,i,r=s.Z.evaluate(this.visProp.scalesymbol);return s.Z.isNumber(t)?(i=s.Z.evaluate(this.visProp.digits),this.useLocale()?e=this.formatNumberLocale(t,i):((e=(Math.round(1e11*t)/1e11).toString()).length>s.Z.evaluate(this.visProp.maxlabellength)||-1!==e.indexOf("e"))&&(3!==s.Z.evaluate(this.visProp.precision)&&3===i&&(i=s.Z.evaluate(this.visProp.precision)),e=t.toExponential(i).toString()),s.Z.evaluate(this.visProp.beautifulscientificticklabels)&&(e=this.beautifyScientificNotationLabel(e)),e.indexOf(".")>-1&&-1===e.indexOf("e")&&(e=(e=e.replace(/0+$/,"")).replace(/\.$/,""))):e=t.toString(),r.length>0&&("1"===e?e=r:"-1"===e?e="-"+r:"0"!==e&&(e+=r)),s.Z.evaluate(this.visProp.useunicodeminus)&&(e=e.replace(/-/g,"−")),e},beautifyScientificNotationLabel:function(t){return-1===t.indexOf("e")?t:(parseFloat(t.substring(0,t.indexOf("e")))+t.substring(t.indexOf("e"))).replace(/e(.*)$/g,(function(t,e){var i="•10";return i+=e.replace(/-/g,"⁻").replace(/\+/g,"").replace(/0/g,"⁰").replace(/1/g,"¹").replace(/2/g,"²").replace(/3/g,"³").replace(/4/g,"⁴").replace(/5/g,"⁵").replace(/6/g,"⁶").replace(/7/g,"⁷").replace(/8/g,"⁸").replace(/9/g,"⁹")}))},generateLabelText:function(t,e,i){var r;if(!s.Z.exists(i)){if(r=this.getDistanceFromZero(e,t),Math.abs(r)<o.Z.eps)return"0";i=r/s.Z.evaluate(this.visProp.scale)}return this.formatLabelText(i)},generateLabelData:function(t,e,i){var r,o,n,a;return a=s.Z.evaluate(this.visProp.label.fontsize),r=[e.scrCoords[1],e.scrCoords[1]],o=[e.scrCoords[2],e.scrCoords[2]],n=void 0===a?12:a,n*=.5,this._isInsideCanvas(r,o,n)?(r=s.Z.evaluate(this.visProp.label.offset[0]),o=s.Z.evaluate(this.visProp.label.offset[1]),{x:e.usrCoords[1]+r/this.board.unitX,y:e.usrCoords[2]+o/this.board.unitY,t:t,i:i}):null},update:function(){return this.needsUpdate&&0!==this.board.canvasWidth&&0!==this.board.canvasHeight&&this.calculateTicksCoordinates(),this},updateRenderer:function(){return this.needsUpdate?(this.visPropCalc.visible&&this.board.renderer.updateTicks(this),this.updateRendererLabels(),this.setDisplayRendNode(),this.needsUpdate=!1,this):this},updateRendererLabels:function(){var e,i,r,o,n,a,h,l;for(r=this.labelsData.length,o=this.labels.length,e=0,i=0;e<r;e++)null!==this.labelsData[e]&&(h=this.labelsData[e],i<o?((a=this.labels[i]).setText(h.t),a.setCoords(h.x,h.y),i++):(this.labelCounter+=1,n={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,priv:this.visProp.priv},(n=s.Z.deepCopy(n,this.visProp.label)).id=this.id+h.i+"Label"+this.labelCounter,a=t.Z.createText(this.board,[h.x,h.y,h.t],n),this.addChild(a),a.setParents(this),a.isDraggable=!1,a.dump=!1,this.labels.push(a)),"inherit"===(l=s.Z.evaluate(this.visProp.label.visible))&&(l=this.visPropCalc.visible),a.prepareUpdate().updateVisibility(l).updateRenderer(),a.distanceX=s.Z.evaluate(this.visProp.label.offset[0]),a.distanceY=s.Z.evaluate(this.visProp.label.offset[1]));for(i=r=i;i<o;i++)this.board.renderer.display(this.labels[i],!1),this.labels[i].visProp.visible=this.labels[i].visPropCalc.visible=!1;return this},hideElement:function(){var e;for(t.Z.deprecated("Element.hideElement()","Element.setDisplayRendNode()"),this.visPropCalc.visible=!1,this.board.renderer.display(this,!1),e=0;e<this.labels.length;e++)s.Z.exists(this.labels[e])&&this.labels[e].hideElement();return this},showElement:function(){var e;for(t.Z.deprecated("Element.showElement()","Element.setDisplayRendNode()"),this.visPropCalc.visible=!0,this.board.renderer.display(this,!1),e=0;e<this.labels.length;e++)s.Z.exists(this.labels[e])&&this.labels[e].showElement();return this}}),t.Z.createTicks=function(e,r,o){var n,a,h=s.Z.copyAttributes(o,e.options,"ticks");if(a=r.length<2?h.ticksdistance:r[1],r[0].elementClass!==i.Z.OBJECT_CLASS_LINE&&r[0].elementClass!==i.Z.OBJECT_CLASS_CURVE)throw new Error("JSXGraph: Can't create Ticks with parent types '"+typeof r[0]+"'.");return n=new t.Z.Ticks(r[0],a,h),s.Z.isFunction(h.generatelabelvalue)&&(n.generateLabelText=h.generatelabelvalue),s.Z.isFunction(h.generatelabeltext)&&(n.generateLabelText=h.generatelabeltext),n.setParents(r[0]),n.isDraggable=!0,n.fullUpdate(r[0].visPropCalc.visible),n},t.Z.createHatchmark=function(t,e,r){var o,n,a,h,l,c=[],d=s.Z.copyAttributes(r,t.options,"hatch");if(e[0].elementClass!==i.Z.OBJECT_CLASS_LINE&&e[0].elementClass!==i.Z.OBJECT_CLASS_CURVE||"number"!=typeof e[1])throw new Error("JSXGraph: Can't create Hatch mark with parent types '"+typeof e[0]+"' and '"+typeof e[1]+" and ''"+typeof e[2]+"'.");for(a=.5*-(((o=e[1])-1)*(h=d.ticksdistance)),n=0;n<o;n++)c[n]=a+n*h;return(l=t.create("ticks",[e[0],c],d)).elType="hatch",e[0].inherits.push(l),l},t.Z.registerElement("ticks",t.Z.createTicks),t.Z.registerElement("hash",t.Z.createHatchmark),t.Z.registerElement("hatch",t.Z.createHatchmark);t.Z.Ticks;t.Z.CA=function(t,e,i){this.node=t,this.createNode=e,this.parser=i},t.Z.extend(t.Z.CA.prototype,{findMapNode:function(t,e){var i,s,r;if("op_assign"===e.value&&e.children[0].value===t)return e.children[1];if(e.children)for(s=e.children.length,i=0;i<s;++i)if(null!==(r=this.findMapNode(t,e.children[i])))return r;return null},setMath:function(t){var e,i;if(("node_op"!=t.type||"op_add"!=t.value&&"op_sub"!=t.value&&"op_mul"!=t.value&&"op_div"!=t.value&&"op_neg"!=t.value&&"op_execfun"!=t.value&&"op_exp"!=t.value)&&"node_var"!=t.type&&"node_const"!=t.type||(t.isMath=!0),t.children)for(i=t.children.length,e=0;e<i;++e)this.setMath(t.children[e])},deriveElementary:function(t,e){var i,r=t.children[0].value,o=t.children[1];switch(r){case"abs":i=this.createNode("node_op","op_div",o[0],this.createNode("node_op","op_execfun",this.createNode("node_var","sqrt"),[this.createNode("node_op","op_mul",s.Z.deepCopy(o[0]),s.Z.deepCopy(o[0]))]));break;case"sqrt":i=this.createNode("node_op","op_div",this.createNode("node_const",1),this.createNode("node_op","op_mul",this.createNode("node_const",2),this.createNode(t.type,t.value,s.Z.deepCopy(t.children[0]),s.Z.deepCopy(t.children[1]))));break;case"sin":i=this.createNode("node_op","op_execfun",this.createNode("node_var","cos"),s.Z.deepCopy(o));break;case"cos":i=this.createNode("node_op","op_neg",this.createNode("node_op","op_execfun",this.createNode("node_var","sin"),s.Z.deepCopy(o)));break;case"tan":i=this.createNode("node_op","op_div",this.createNode("node_const",1),this.createNode("node_op","op_exp",this.createNode("node_op","op_execfun",this.createNode("node_var","cos"),s.Z.deepCopy(o)),this.createNode("node_const",2)));break;case"cot":i=this.createNode("node_op","op_neg",this.createNode("node_op","op_div",this.createNode("node_const",1),this.createNode("node_op","op_exp",this.createNode("node_op","op_execfun",this.createNode("node_var","sin"),s.Z.deepCopy(o)),this.createNode("node_const",2))));break;case"exp":i=this.createNode(t.type,t.value,s.Z.deepCopy(t.children[0]),s.Z.deepCopy(t.children[1]));break;case"pow":i=this.createNode("node_op","op_mul",this.createNode("node_op","op_execfun",s.Z.deepCopy(t.children[0]),s.Z.deepCopy(t.children[1])),this.createNode("node_op","op_add",this.createNode("node_op","op_mul",this.derivative(t.children[1][0],e),this.createNode("node_op","op_div",s.Z.deepCopy(t.children[1][1]),s.Z.deepCopy(t.children[1][0]))),this.createNode("node_op","op_mul",this.derivative(t.children[1][1],e),this.createNode("node_op","op_execfun",this.createNode("node_var","log"),[s.Z.deepCopy(t.children[1][0])]))));break;case"log":case"ln":i=this.createNode("node_op","op_div",this.createNode("node_const",1),s.Z.deepCopy(o[0]));break;case"log2":case"lb":case"ld":i=this.createNode("node_op","op_mul",this.createNode("node_op","op_div",this.createNode("node_const",1),s.Z.deepCopy(o[0])),this.createNode("node_const",1.4426950408889634));break;case"log10":case"lg":i=this.createNode("node_op","op_mul",this.createNode("node_op","op_div",this.createNode("node_const",1),s.Z.deepCopy(o[0])),this.createNode("node_const",.43429448190325176));break;case"asin":i=this.createNode("node_op","op_div",this.createNode("node_const",1),this.createNode("node_op","op_execfun",this.createNode("node_var","sqrt"),[this.createNode("node_op","op_sub",this.createNode("node_const",1),this.createNode("node_op","op_mul",s.Z.deepCopy(o[0]),s.Z.deepCopy(o[0])))]));break;case"acos":i=this.createNode("node_op","op_neg",this.createNode("node_op","op_div",this.createNode("node_const",1),this.createNode("node_op","op_execfun",this.createNode("node_var","sqrt"),[this.createNode("node_op","op_sub",this.createNode("node_const",1),this.createNode("node_op","op_mul",s.Z.deepCopy(o[0]),s.Z.deepCopy(o[0])))])));break;case"atan":i=this.createNode("node_op","op_div",this.createNode("node_const",1),this.createNode("node_op","op_add",this.createNode("node_const",1),this.createNode("node_op","op_mul",s.Z.deepCopy(o[0]),s.Z.deepCopy(o[0]))));break;case"acot":i=this.createNode("node_op","op_neg",this.createNode("node_op","op_div",this.createNode("node_const",1),this.createNode("node_op","op_add",this.createNode("node_const",1),this.createNode("node_op","op_mul",s.Z.deepCopy(o[0]),s.Z.deepCopy(o[0])))));break;case"sinh":i=this.createNode("node_op","op_execfun",this.createNode("node_var","cosh"),[s.Z.deepCopy(o[0])]);break;case"cosh":i=this.createNode("node_op","op_execfun",this.createNode("node_var","sinh"),[s.Z.deepCopy(o[0])]);break;case"tanh":i=this.createNode("node_op","op_sub",this.createNode("node_const",1),this.createNode("node_op","op_exp",this.createNode("node_op","op_execfun",this.createNode("node_var","tanh"),[s.Z.deepCopy(o[0])]),this.createNode("node_const",2)));break;case"asinh":i=this.createNode("node_op","op_div",this.createNode("node_const",1),this.createNode("node_op","op_execfun",this.createNode("node_var","sqrt"),[this.createNode("node_op","op_add",this.createNode("node_op","op_mul",s.Z.deepCopy(o[0]),s.Z.deepCopy(o[0])),this.createNode("node_const",1))]));break;case"acosh":i=this.createNode("node_op","op_div",this.createNode("node_const",1),this.createNode("node_op","op_execfun",this.createNode("node_var","sqrt"),[this.createNode("node_op","op_sub",this.createNode("node_op","op_mul",s.Z.deepCopy(o[0]),s.Z.deepCopy(o[0])),this.createNode("node_const",1))]));break;case"atanh":i=this.createNode("node_op","op_div",this.createNode("node_const",1),this.createNode("node_op","op_sub",this.createNode("node_const",1),this.createNode("node_op","op_mul",s.Z.deepCopy(o[0]),s.Z.deepCopy(o[0]))));break;default:throw i=this.createNode("node_const",0),console.log('Derivative of "'+r+'" not yet implemented'),new Error("Error("+this.line+"): ")}return i},derivative:function(t,e){var i;switch(t.type){case"node_op":switch(t.value){case"op_execfun":i="pow"==t.children[0].value?this.deriveElementary(t,e):0===t.children[1].length?this.createNode("node_const",0):this.createNode("node_op","op_mul",this.deriveElementary(t,e),this.derivative(t.children[1][0],e));break;case"op_div":i=this.createNode("node_op","op_div",this.createNode("node_op","op_sub",this.createNode("node_op","op_mul",this.derivative(t.children[0],e),s.Z.deepCopy(t.children[1])),this.createNode("node_op","op_mul",s.Z.deepCopy(t.children[0]),this.derivative(t.children[1],e))),this.createNode("node_op","op_mul",s.Z.deepCopy(t.children[1]),s.Z.deepCopy(t.children[1])));break;case"op_mul":i=this.createNode("node_op","op_add",this.createNode("node_op","op_mul",s.Z.deepCopy(t.children[0]),this.derivative(t.children[1],e)),this.createNode("node_op","op_mul",this.derivative(t.children[0],e),s.Z.deepCopy(t.children[1])));break;case"op_neg":i=this.createNode("node_op","op_neg",this.derivative(t.children[0],e));break;case"op_add":case"op_sub":i=this.createNode("node_op",t.value,this.derivative(t.children[0],e),this.derivative(t.children[1],e));break;case"op_exp":i=this.createNode("node_op","op_mul",s.Z.deepCopy(t),this.createNode("node_op","op_add",this.createNode("node_op","op_mul",this.derivative(t.children[0],e),this.createNode("node_op","op_div",s.Z.deepCopy(t.children[1]),s.Z.deepCopy(t.children[0]))),this.createNode("node_op","op_mul",this.derivative(t.children[1],e),this.createNode("node_op","op_execfun",this.createNode("node_var","log"),[s.Z.deepCopy(t.children[0])]))))}break;case"node_var":i=t.value===e?this.createNode("node_const",1):this.createNode("node_const",0);break;case"node_const":i=this.createNode("node_const",0)}return i},expandDerivatives:function(t,e,i){var r,o,n,a,h,l,c,d,u,p,f,_;if(0,!t)return 0;for(this.line=t.line,this.col=t.col,r=t.children.length,o=0;o<r;++o)if(t.children[o]&&t.children[o].type)t.children[o]=this.expandDerivatives(t.children[o],t,i);else if(s.Z.isArray(t.children[o]))for(n=0;n<t.children[o].length;++n)t.children[o][n]&&t.children[o][n].type&&(t.children[o][n]=this.expandDerivatives(t.children[o][n],t,i));if("node_op"===t.type)if("op_execfun"===t.value)if(t.children[0]&&"D"===t.children[0].value){if(_=!1,"node_var"==t.children[1][0].type&&(d=t.children[1][0].value,null!==(a=this.findMapNode(d,i))&&(_=!0)),_?(p=a.children[0],u=t.children[1].length>=2?t.children[1][1].value:a.children[0][0],h=a.children[1]):(h=t.children[1][0],p=["x"],u=t.children[1].length>=2?t.children[1][1].value:"x"),c=h,(f=t.children[1].length>=3?t.children[1][2].value:1)>=1)for(;f>=1;)c=this.derivative(c,u),c=this.removeTrivialNodes(c),f--;l="node_op"==e.type&&"op_assign"==e.value?this.createNode("node_op","op_map",p,c):c,this.setMath(l),t.type=l.type,t.value=l.value,l.children.length>0&&(t.children[0]=l.children[0]),l.children.length>1&&(t.children[1]=l.children[1])}return t},removeTrivialNodes:function(t){var e,i,r,o,n;if(s.Z.isArray(t))for(i=t.length,e=0;e<i;++e)t[e]=this.removeTrivialNodes(t[e]);if("node_op"!=t.type||!t.children)return t;for(i=t.children.length,e=0;e<i;++e){this.mayNotBeSimplified=!1;do{t.children[e]=this.removeTrivialNodes(t.children[e])}while(this.mayNotBeSimplified)}switch(t.value){case"op_map":if(r=t.children[0],"node_var"==(o=t.children[1]).type)for(e=0;e<r.length;++e)if(r[e]==o.value){o.isMath=!0;break}break;case"op_add":if(r=t.children[0],o=t.children[1],"node_const"==r.type&&0===r.value)return o;if("node_const"==o.type&&0===o.value)return r;if("node_const"==r.type&&"node_const"==o.type)return r.value+=o.value,r;break;case"op_mul":if(r=t.children[0],o=t.children[1],"node_const"==r.type&&1==r.value)return o;if("node_const"==o.type&&1==o.value)return r;if("node_const"==r.type&&0===r.value)return r;if("node_const"==o.type&&0===o.value)return o;if("node_const"==o.type&&0===o.value)return o;if("node_op"==r.type&&"op_neg"==r.value&&"node_op"==o.type&&"op_neg"==o.value)return t.children=[r.children[0],o.children[0]],this.mayNotBeSimplified=!0,t;if("op_neg"==r.value&&"op_neg"!=o.value)return t.type="node_op",t.value="op_neg",t.children=[this.createNode("node_op","op_mul",r.children[0],o)],this.mayNotBeSimplified=!0,t;if("op_neg"!=r.value&&"op_neg"==o.value)return t.type="node_op",t.value="op_neg",t.children=[this.createNode("node_op","op_mul",r,o.children[0])],this.mayNotBeSimplified=!0,t;if("op_div"==r.value&&"node_const"==r.children[0].type&&1==r.children[0].value)return t.type="node_op",t.value="op_div",t.children=[o,r.children[1]],this.mayNotBeSimplified=!0,t;if("op_div"==o.value&&"node_const"==o.children[0].type&&1==o.children[0].value)return t.type="node_op",t.value="op_div",t.children=[r,o.children[1]],this.mayNotBeSimplified=!0,t;if("node_const"!=r.type&&"node_const"==o.type)return t.children=[o,r],this.mayNotBeSimplified=!0,t;if("node_const"!=r.type&&"node_op"==o.type&&"op_neg"==o.value&&"node_const"==o.children[0].type)return t.children=[o,r],this.mayNotBeSimplified=!0,t;if("node_op"==r.type&&"op_execfun"!=r.value&&("node_var"==o.type||"node_op"==o.type&&"op_execfun"==o.value))return t.children=[o,r],this.mayNotBeSimplified=!0,t;if("node_op"!=r.type&&"node_op"==o.type&&"op_neg"==o.value&&"node_var"==o.children[0].type)return t.children=[o,r],this.mayNotBeSimplified=!0,t;if("node_const"!=r.type&&"node_op"==o.type&&("op_mul"==o.value||"op_div"==o.value)&&"node_const"==o.children[0].type)return n=o.children[0],o.children[0]=r,t.children=[n,o],this.mayNotBeSimplified=!0,t;if("node_const"!=o.type&&"node_op"==r.type&&"op_mul"==r.value&&"node_const"==r.children[0].type)return t.children=[r.children[0],this.createNode("node_op","op_mul",r.children[1],o)],this.mayNotBeSimplified=!0,t;if("node_const"==r.type&&"node_const"==o.type)return r.value*=o.value,r;if("node_const"==r.type&&"node_op"==o.type&&("op_mul"==o.value||"op_div"==o.value)&&"node_const"==o.children[0].type)return o.children[0].value*=r.value,o;if(r.hash=this.parser.compile(r),o.hash=this.parser.compile(o),r.hash===o.hash)return t.value="op_exp",t.children[1]=this.createNode("node_const",2),t;if("node_const"==r.type&&"node_op"==o.type&&("op_mul"==o.value||"op_div"==o.value)&&"node_const"==o.children[0].type)return o.children[0].value*=r.value,o;if("node_op"==o.type&&"op_exp"==o.value&&(r.hash||(r.hash=this.parser.compile(r)),o.children[0].hash||(o.children[0].hash=this.parser.compile(o.children[0])),r.hash===o.children[0].hash))return o.children[1]=this.createNode("node_op","op_add",o.children[1],this.createNode("node_const",1)),this.mayNotBeSimplified=!0,o;if("node_op"==r.type&&"op_exp"==r.value&&"node_op"==o.type&&"op_exp"==o.value&&(r.children[0].hash=this.parser.compile(r.children[0]),o.children[0].hash=this.parser.compile(o.children[0]),r.children[0].hash===o.children[0].hash))return r.children[1]=this.createNode("node_op","op_add",r.children[1],o.children[1]),this.mayNotBeSimplified=!0,r;break;case"op_sub":if(r=t.children[0],o=t.children[1],"node_const"==r.type&&0===r.value)return t.value="op_neg",t.children[0]=o,t;if("node_const"==o.type&&0===o.value)return r;if("node_const"==r.type&&"node_const"==o.type&&r.value==o.value)return this.createNode("node_const",0);if("node_var"==r.type&&"node_var"==o.type&&r.value==o.value)return this.createNode("node_const",0);if("node_const"==r.type&&"node_const"==o.type)return r.value-=o.value,r;if("node_op"==r.type&&"op_mul"==r.value&&"node_op"==o.type&&"op_mul"==o.value&&(r.children[1].hash=this.parser.compile(r.children[1]),o.children[1].hash=this.parser.compile(o.children[1]),r.children[1].hash===o.children[1].hash))return t.value="op_mul",t.children=[this.createNode("node_op","op_sub",r.children[0],o.children[0]),r.children[1]],this.mayNotBeSimplified=!0,t;if("node_op"==r.type&&"op_mul"==r.value&&(r.children[1].hash=this.parser.compile(r.children[1]),o.hash=this.parser.compile(o),r.children[1].hash===o.hash))return t.value="op_mul",t.children=[this.createNode("node_op","op_sub",r.children[0],this.createNode("node_const",1)),o],this.mayNotBeSimplified=!0,t;if("node_op"==o.type&&"op_mul"==o.value&&(o.children[1].hash=this.parser.compile(o.children[1]),r.hash=this.parser.compile(r),o.children[1].hash===r.hash))return t.value="op_mul",t.children=[this.createNode("node_op","op_sub",this.createNode("node_const",1),o.children[0]),r],this.mayNotBeSimplified=!0,t;break;case"op_neg":if("node_const"==(r=t.children[0]).type&&0===r.value)return r;if("node_op"==r.type&&"op_neg"==r.value)return r.children[0];break;case"op_div":if(r=t.children[0],o=t.children[1],"node_const"==r.type&&"node_const"==o.type&&r.value==o.value&&0!==r.value)return r.value=1,r;if("node_const"==r.type&&0===r.value&&"node_const"==o.type&&0!==o.value)return r.value=0,r;if("node_const"==r.type&&0===r.value&&("node_op"==o.type||"node_var"==o.type))return t.type="node_const",t.value=0,t;if("node_var"==r.type&&"node_var"==o.type&&r.value==o.value)return this.createNode("node_const",1);if("node_const"==r.type&&0!==r.value&&"node_const"==o.type&&0===o.value)return r.value>0?r.value=1/0:r.value=-1/0,r;if("node_op"==r.type&&"op_neg"==r.value&&"node_op"==o.type&&"op_neg"==o.value)return t.children=[r.children[0],o.children[0]],this.mayNotBeSimplified=!0,t;if("op_neg"==r.value&&"op_neg"!=o.value)return t.type="node_op",t.value="op_neg",t.children=[this.createNode("node_op","op_div",r.children[0],o)],this.mayNotBeSimplified=!0,t;if("op_neg"!=r.value&&"op_neg"==o.value)return t.type="node_op",t.value="op_neg",t.children=[this.createNode("node_op","op_div",r,o.children[0])],this.mayNotBeSimplified=!0,t;if("node_op"==r.type&&"op_exp"==r.value&&(o.hash||(o.hash=this.parser.compile(o)),r.children[0].hash||(r.children[0].hash=this.parser.compile(r.children[0])),o.hash===r.children[0].hash))return r.children[1]=this.createNode("node_op","op_sub",r.children[1],this.createNode("node_const",1)),this.mayNotBeSimplified=!0,r;if("node_const"!=o.type&&"node_op"==r.type&&"op_mul"==r.value&&"node_const"==r.children[0].type)return t.value="op_mul",t.children=[r.children[0],this.createNode("node_op","op_div",r.children[1],o)],this.mayNotBeSimplified=!0,t;if("node_op"==r.type&&"op_exp"==r.value&&"node_op"==o.type&&"op_exp"==o.value&&(r.children[0].hash=this.parser.compile(r.children[0]),o.children[0].hash=this.parser.compile(o.children[0]),r.children[0].hash===o.children[0].hash))return r.children[1]=this.createNode("node_op","op_sub",r.children[1],o.children[1]),this.mayNotBeSimplified=!0,r;break;case"op_exp":if(r=t.children[0],"node_const"==(o=t.children[1]).type&&0===o.value)return o.value=1,o;if("node_const"==o.type&&1==o.value)return r;if("node_const"==r.type&&1==r.value)return r;if("node_const"==r.type&&0===r.value&&"node_const"==o.type&&0!==o.value)return r;if("node_op"==r.type&&"op_exp"==r.value)return t.children=[r.children[0],this.createNode("node_op","op_mul",r.children[1],o)],t}switch(t.value){case"op_add":if(r=t.children[0],o=t.children[1],"node_const"==r.type&&"node_const"==o.type&&r.value==o.value)return r.value+=o.value,r;if("node_var"==r.type&&"node_var"==o.type&&r.value==o.value)return t.children[0]=this.createNode("node_const",2),t.value="op_mul",t;if("node_op"==r.type&&"op_neg"==r.value)return t.value="op_sub",t.children[0]=o,t.children[1]=r.children[0],this.mayNotBeSimplified=!0,t;if("node_op"==o.type&&"op_neg"==o.value)return t.value="op_sub",t.children[1]=o.children[0],this.mayNotBeSimplified=!0,t;if("node_op"==r.type&&"op_mul"==r.value&&"node_op"==o.type&&"op_mul"==o.value&&(r.children[1].hash=this.parser.compile(r.children[1]),o.children[1].hash=this.parser.compile(o.children[1]),r.children[1].hash===o.children[1].hash))return t.value="op_mul",t.children=[this.createNode("node_op","op_add",r.children[0],o.children[0]),r.children[1]],this.mayNotBeSimplified=!0,t;if("node_op"==r.type&&"op_mul"==r.value&&(r.children[1].hash=this.parser.compile(r.children[1]),o.hash=this.parser.compile(o),r.children[1].hash===o.hash))return t.value="op_mul",t.children=[this.createNode("node_op","op_add",r.children[0],this.createNode("node_const",1)),o],this.mayNotBeSimplified=!0,t;if("node_op"==o.type&&"op_mul"==o.value&&(o.children[1].hash=this.parser.compile(o.children[1]),r.hash=this.parser.compile(r),o.children[1].hash===r.hash))return t.value="op_mul",t.children=[this.createNode("node_op","op_add",this.createNode("node_const",1),o.children[0]),r],this.mayNotBeSimplified=!0,t;break;case"op_sub":if(r=t.children[0],"node_op"==(o=t.children[1]).type&&"op_neg"==o.value)return t.value="op_add",t.children[1]=o.children[0],this.mayNotBeSimplified=!0,t;break;case"op_execfun":return this.simplifyElementary(t)}return t},simplifyElementary:function(t){var e=t.children[0].value,i=t.children[1];if(0==i.length)return t;switch(e){case"sin":case"tan":if("node_const"==i[0].type&&0===i[0].value)return t.type="node_const",t.value=0,t;if("node_var"==i[0].type&&"PI"==i[0].value)return t.type="node_const",t.value=0,t;if("node_op"==i[0].type&&"op_mul"==i[0].value&&"node_const"==i[0].children[0].type&&i[0].children[0].value%1==0&&"node_var"==i[0].children[1].type&&"PI"==i[0].children[1].value)return t.type="node_const",t.value=0,t;break;case"cos":if("node_const"==i[0].type&&0===i[0].value)return t.type="node_const",t.value=1,t;if("node_var"==i[0].type&&"PI"==i[0].value)return t.type="node_op",t.value="op_neg",t.children=[this.createNode("node_const",1)],t;break;case"exp":if("node_const"==i[0].type&&0===i[0].value)return t.type="node_const",t.value=1,t;break;case"pow":if("node_const"==i[1].type&&0===i[1].value)return t.type="node_const",t.value=1,t}return t}});t.Z.CA;t.Z.Dump={addMarkers:function(t,e,i){var 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e,i,r,o,n=[],a=[],h=t.objectsList.length;for(this.addMarkers(t,"dumped",!1),e=0;e<h;e++)if(r={},!(i=t.objectsList[e]).dumped&&i.dump){for(r.type=i.getType(),r.parents=i.getParents().slice(),"point"===r.type&&1===r.parents[0]&&(r.parents=r.parents.slice(1)),o=0;o<r.parents.length;o++)s.Z.isString(r.parents[o])&&"'"!==r.parents[o][0]&&'"'!==r.parents[o][0]?r.parents[o]='"'+r.parents[o]+'"':s.Z.isArray(r.parents[o])&&(r.parents[o]="["+r.parents[o].toString()+"]");r.attributes=this.prepareAttributes(t,i),"glider"===r.type&&i.onPolygon&&n.push({obj:i.id,prop:"onPolygon",val:!0}),a.push(r)}return this.deleteMarkers(t,"dumped"),{elements:a,props:n,methods:[]}},arrayToParamStr:function(t,e){var i,s=[];for(i=0;i<t.length;i++)s.push(e.call(this,t[i]));return s.join(", ")},toJCAN:function(t){var e,i,r;switch(typeof t){case"object":if(t){if(i=[],s.Z.isArray(t)){for(e=0;e<t.length;e++)i.push(this.toJCAN(t[e]));return"["+i.join(",")+"]"}for(r in t)t.hasOwnProperty(r)&&i.push(r+": 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e,i,r,o=this.dump(t),n=[];for(o.methods=this.setBoundingBox(o.methods,t,"board"),i=o.elements,e=0;e<i.length;e++)n.push('board.create("'+i[e].type+'", ['+i[e].parents.join(", ")+"], "+s.Z.toJSON(i[e].attributes)+");"),"axis"===i[e].type&&(r=i[e].attributes.id,null===t.objects[r].defaultTicks&&n.push('board.objects["'+r+'"].removeTicks(board.objects["'+r+'"].defaultTicks);'));for(e=0;e<o.methods.length;e++)n.push(o.methods[e].obj+"."+o.methods[e].method+"("+this.arrayToParamStr(o.methods[e].params,s.Z.toJSON)+");"),n.push("");for(e=0;e<o.props.length;e++)n.push(o.props[e].obj+"."+o.props[e].prop+" = "+s.Z.toJSON(o.props[e].val)+";"),n.push("");return n.join("\n")}};t.Z.Dump;t.Z.createComb=function(e,i,r){var o,n,a,h,l;if(2!==i.length)throw l=i.map((function(t){return"'"+typeof t+"'"})),new Error("JSXGraph: Can't create comb with parent types "+l.join(", ")+".\nPossible parent types: [point,point], 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q=function(){V.prototype.remove.call(this),this.board.removeObject(this.toppoint),this.board.removeObject(this.glider),this.board.removeObject(this.baseline),this.board.removeObject(this.basepoint),this.board.removeObject(this.label),this._isPrivateTangent&&this.board.removeObject(this.tangent)},Q=function(){return this.tangent.getSlope()};t.Z.createSlopeTriangle=function(e,r,o){var n,a,h,l,c,d,u,p,f,_=!1;if(1===r.length&&r[0].type===i.Z.OBJECT_TYPE_TANGENT)a=r[0],h=a.glider;else if(1===r.length&&r[0].type===i.Z.OBJECT_TYPE_GLIDER)h=r[0],f=s.Z.copyAttributes(o,e.options,"slopetriangle","tangent"),a=e.create("tangent",[h],f),_=!0;else{if(2!==r.length||r[0].elementClass!==i.Z.OBJECT_CLASS_LINE||!s.Z.isPoint(r[1]))throw new Error("JSXGraph: Can't create slope triangle with parent types '"+typeof r[0]+"'.");a=r[0],h=r[1]}return f=s.Z.copyAttributes(o,e.options,"slopetriangle","basepoint"),u=e.create("point",[function(){return[h.X()+1,h.Y()]}],f),f=s.Z.copyAttributes(o,e.options,"slopetriangle","baseline"),d=e.create("line",[h,u],f),f=s.Z.copyAttributes(o,e.options,"slopetriangle","glider"),l=e.create("glider",[h.X()+1,h.Y(),d],f),f=s.Z.copyAttributes(o,e.options,"slopetriangle","toppoint"),c=e.create("point",[function(){return[l.X(),l.Y()+(l.X()-h.X())*a.getSlope()]}],f),f=s.Z.copyAttributes(o,e.options,"slopetriangle"),(n=e.create("polygon",[h,l,c],f)).Value=Q,n.tangent=a,n._isPrivateTangent=_,n.borders[2].setArrow(!1,!1),f=s.Z.copyAttributes(o,e.options,"slopetriangle","label"),(p=e.create("text",[function(){return l.X()+.1},function(){return.5*(l.Y()+c.Y())},function(){return""}],f))._setText((function(){var t=s.Z.evaluate(p.visProp.digits);return 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this._value=t,this.rendNodeInput.value=t,this},e.Z.addEvent(n.rendNodeInput,"input",et,n),e.Z.addEvent(n.rendNodeInput,"mousedown",(function(t){s.Z.exists(t.stopPropagation)&&t.stopPropagation()}),n),e.Z.addEvent(n.rendNodeInput,"touchstart",(function(t){s.Z.exists(t.stopPropagation)&&t.stopPropagation()}),n),e.Z.addEvent(n.rendNodeInput,"pointerdown",(function(t){s.Z.exists(t.stopPropagation)&&t.stopPropagation()}),n),n.visPropOld.fontsize="0px",i.renderer.updateTextStyle(n,!1),n},t.Z.registerElement("input",t.Z.createInput);var it=function(){this._handler&&this._handler(),this.board.update()};t.Z.createButton=function(i,r,o){var n,a,h=s.Z.copyAttributes(o,i.options,"button");return a=[r[0],r[1],'<button type="button" 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e,i,r,o,n,a,h,l,c,d,u,p,f=s.Z.evaluate(this.visProp.scale),_=s.Z.evaluate(this.xData[0]),g=s.Z.evaluate(this.xData[1]),m=(s.Z.evaluate(this.xData[2])-_)/g,b=s.Z.evaluate(this.yData[0]),v=s.Z.evaluate(this.yData[1]),Z=(s.Z.evaluate(this.yData[2])-b)/v,C=s.Z.evaluate(this.visProp.arrowhead.enabled);for(C&&(d=(c=s.Z.evaluate(this.visProp.arrowhead.size))/t.unitX,u=c/t.unitY,p=s.Z.evaluate(this.visProp.arrowhead.angle)),this.dataX=[],this.dataY=[],r=0,e=_;r<=g;e+=m,r++)for(o=0,i=b;o<=v;i+=Z,o++)(n=this.F(e,i))[0]*=f,n[1]*=f,this.dataX=this.dataX.concat([e,e+n[0],NaN]),this.dataY=this.dataY.concat([i,i+n[1],NaN]),C&&Math.abs(n[0])+Math.abs(n[1])>0&&(h=(a=Math.atan2(n[1],n[0]))+p,l=a-p,this.dataX=this.dataX.concat([e+n[0]-Math.cos(h)*d,e+n[0],e+n[0]-Math.cos(l)*d,NaN]),this.dataY=this.dataY.concat([i+n[1]-Math.sin(h)*u,i+n[1],i+n[1]-Math.sin(l)*u,NaN]))},r.methodMap=s.Z.deepCopy(r.methodMap,{setF:"setF"}),r},t.Z.registerElement("vectorfield",t.Z.createVectorField),t.Z.createSlopeField=function(t,e,i){var r,o,n;if(!(e.length>=3&&(s.Z.isFunction(e[0])||s.Z.isString(e[0]))&&s.Z.isArray(e[1])&&3===e[1].length&&s.Z.isArray(e[2])&&3===e[2].length))throw new Error("JSXGraph: Can't create slope field with parent types '"+typeof e[0]+"', '"+typeof e[1]+"', '"+typeof e[2]+"'.");return o=s.Z.createFunction(e[0],t,"x, y"),e[0]=function(t,e){var i=o(t,e),s=Math.sqrt(1+i*i);return[1/s,i/s]},n=s.Z.copyAttributes(i,t.options,"slopefield"),(r=t.create("vectorfield",e,n)).elType="slopefield",r.setF=function(t,e){var i=s.Z.createFunction(t,r.board,e);this.F=function(t,e){var s=i(t,e),r=Math.sqrt(1+s*s);return[1/r,s/r]}},r.methodMap=s.Z.deepCopy(r.methodMap,{setF:"setF"}),r},t.Z.registerElement("slopefield",t.Z.createSlopeField),t.Z.createSmartLabel=function(t,e,r){var o,n,a,h,l,c;if(0===e.length||[i.Z.OBJECT_CLASS_POINT,i.Z.OBJECT_CLASS_LINE,i.Z.OBJECT_CLASS_CIRCLE].indexOf(e[0].elementClass)<0&&[i.Z.OBJECT_TYPE_POLYGON,i.Z.OBJECT_TYPE_ANGLE].indexOf(e[0].type)<0)throw new Error("JSXGraph: Can't create smartlabel with parent types '"+typeof e[0]+"', '"+typeof e[1]+"'.");return a=e[0],h=e[1]||"",a.elementClass===i.Z.OBJECT_CLASS_POINT?n=s.Z.copyAttributes(r,t.options,"smartlabelpoint"):a.elementClass===i.Z.OBJECT_CLASS_LINE?((n=s.Z.copyAttributes(r,t.options,"smartlabelline")).rotate=function(){return 180*Math.atan(a.getSlope())/Math.PI},n.visible=function(){return!(a.L()<1.5)}):a.elementClass===i.Z.OBJECT_CLASS_CIRCLE?(n=s.Z.copyAttributes(r,t.options,"smartlabelcircle")).visible=function(){return!(a.Radius()<1.5)}:a.type===i.Z.OBJECT_TYPE_POLYGON?n=s.Z.copyAttributes(r,t.options,"smartlabelpolygon"):a.type===i.Z.OBJECT_TYPE_ANGLE&&((n=s.Z.copyAttributes(r,t.options,"smartlabelangle")).rotate=function(){var t=a.center.coords.usrCoords,e=a.getLabelAnchor().usrCoords,i=180*Math.atan2(e[2]-t[2],e[1]-t[1])/Math.PI;return i>90&&i<270?i+180:i},n.anchorX=function(){var t=a.center.coords.usrCoords,e=a.getLabelAnchor().usrCoords,i=180*Math.atan2(e[2]-t[2],e[1]-t[1])/Math.PI;return 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t,e,i="",r=s.Z.evaluate(h),n=s.Z.evaluate(o.visProp.digits),l=s.Z.evaluate(o.visProp.unit),c=s.Z.evaluate(o.visProp.prefix),d=s.Z.evaluate(o.visProp.suffix),u=s.Z.evaluate(o.visProp.dir),p=s.Z.evaluate(o.visProp.usemathjax)||s.Z.evaluate(o.visProp.usekatex);return o.useLocale()?(t=o.formatNumberLocale(a.X(),n),e=o.formatNumberLocale(a.Y(),n)):(t=s.Z.toFixed(a.X(),n),e=s.Z.toFixed(a.Y(),n)),""===r?"row"===u?i=p?["\\(",c,t,"\\,",l," / ",e,"\\,",l,d,"\\)"].join(""):[c,t," ",l," / ",e," ",l,d].join(""):0===u.indexOf("col")&&(i=p?["\\(",c,"\\left(\\array{",t,"\\,",l,"\\\\ ",e,"\\,",l,"}\\right)",d,"\\)"].join(""):[c,t," ",l,"<br/>",e," 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a.getTextAnchor()},""],n),a,0,"area"):"perimeter"===n.measure&&(c=l(o=t.create("text",[function(){var t=a.borders.length-1;return t>=0?[.5*(a.borders[t].point1.X()+a.borders[t].point2.X()),.5*(a.borders[t].point1.Y()+a.borders[t].point2.Y())]:a.getTextAnchor()},""],n),a,0,"perimeter")):a.type===i.Z.OBJECT_TYPE_ANGLE&&(c=l(o=t.create("text",[function(){return 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this._useUserSize?(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.rendNode.hasChildNodes()&&(t=this.rendNode.childNodes[0].getBoundingClientRect(),this.size=[t.width,t.height]),this},updateSpan:function(){var t,e,i=this.transformations.length,s=[];if(0===i)this.span=[[this.Z(),this.X(),this.Y()],[this.Z(),this.W(),0],[this.Z(),0,this.H()]];else{for(s[0]=[this.Z(),this.X(),this.Y()],s[1]=[this.Z(),this.X()+this.W(),this.Y()],s[2]=[this.Z(),this.X(),this.Y()+this.H()],t=0;t<i;t++)for(e=0;e<3;e++)s[e]=o.Z.matVecMult(this.transformations[t].matrix,s[e]);for(e=0;e<3;e++)s[e][1]/=s[e][0],s[e][2]/=s[e][0],s[e][0]/=s[e][0];for(e=1;e<3;e++)s[e][0]-=s[0][0],s[e][1]-=s[0][1],s[e][2]-=s[0][2];this.span=s}return this},addTransform:function(t){var e;if(s.Z.isArray(t))for(e=0;e<t.length;e++)this.transformations.push(t[e]);else this.transformations.push(t);return this},getParents:function(){var t=[this.url,[this.Z(),this.X(),this.Y()],this.usrSize];return 0!==this.parents.length&&(t=this.parents),t},setSize:function(t,e){return this.W=s.Z.createFunction(t,this.board,""),this.H=s.Z.createFunction(e,this.board,""),this._useUserSize=!0,this.addParentsFromJCFunctions([this.W,this.H]),this},W:function(){},H:function(){}}),t.Z.createForeignObject=function(e,i,r){var o,n,a=i[0],h=i[1],l=[];if(i.length>=2&&(l=i[2]),o=s.Z.copyAttributes(r,e.options,"foreignobject"),!(n=G.Z.create(t.Z.ForeignObject,e,h,o,a,l)))throw new Error("JSXGraph: Can't create foreignObject with parent types '"+typeof i[0]+"' and '"+typeof i[1]+"'.\nPossible parent types: [string, [x, y], [w, h]], [string, [x, y]], [element,transformation]");return n},t.Z.registerElement("foreignobject",t.Z.createForeignObject),t.Z.registerElement("fo",t.Z.createForeignObject);t.Z.ForeignObject;t.Z.extend(N.Z,{axes3d:{axesPosition:"center",xAxis:{visible:!0,point2:{name:"x"}},yAxis:{visible:!0,point2:{name:"y"}},zAxis:{visible:!0,point2:{name:"z"}},xPlaneRear:{visible:!0,layer:0,mesh3d:{layer:1}},yPlaneRear:{visible:!0,layer:0,mesh3d:{layer:1}},zPlaneRear:{visible:!0,layer:0,mesh3d:{layer:1}},xPlaneFront:{visible:!1,layer:0,mesh3d:{layer:1}},yPlaneFront:{visible:!1,layer:0,mesh3d:{layer:1}},zPlaneFront:{visible:!1,layer:0,mesh3d:{layer:1}},xPlaneRearYAxis:{visible:"inherit",strokeColor:"#888888",strokeWidth:1},xPlaneRearZAxis:{visible:"inherit",strokeColor:"#888888",strokeWidth:1},xPlaneFrontYAxis:{visible:"inherit",strokeColor:"#888888",strokeWidth:1},xPlaneFrontZAxis:{visible:"inherit",strokeColor:"#888888",strokeWidth:1},yPlaneRearXAxis:{visible:"inherit",strokeColor:"#888888",strokeWidth:1},yPlaneRearZAxis:{visible:"inherit",strokeColor:"#888888",strokeWidth:1},yPlaneFrontXAxis:{visible:"inherit",strokeColor:"#888888",strokeWidth:1},yPlaneFrontZAxis:{visible:"inherit",strokeColor:"#888888",strokeWidth:1},zPlaneRearXAxis:{visible:"inherit",strokeColor:"#888888",strokeWidth:1},zPlaneRearYAxis:{visible:"inherit",strokeColor:"#888888",strokeWidth:1},zPlaneFrontXAxis:{visible:"inherit",strokeColor:"#888888",strokeWidth:1},zPlaneFrontYAxis:{visible:"inherit",strokeColor:"#888888",strokeWidth:1}},axis3d:{highlight:!1,strokecolor:"black",strokeWidth:1,tabindex:null,point1:{visible:!1,name:""},point2:{visible:!1,name:"",label:{visible:!0}}},curve3d:{highlight:!1,tabindex:-1,strokeWidth:1,numberPointsHigh:200},mesh3d:{strokeWidth:1,strokeColor:"#9a9a9a",strokeOpacity:.6,highlight:!1,fillColor:"#9a9a9a",fillOpacity:.1,tabindex:null,visible:"inherit"},line3d:{strokeWidth:1,strokeColor:"black",fixed:!0,tabindex:null,gradient:"linear",gradientSecondColor:"#ffffff",point:{visible:!1,name:""},point1:{visible:!1,name:""},point2:{visible:!1,name:""}},plane3d:{strokeWidth:0,strokeColor:"black",strokeOpacity:1,highlight:!1,tabindex:null,gradient:"linear",gradientSecondColor:"#ffffff",gradientAngle:Math.PI,fillColor:"#a7a7a7",fillOpacity:.6,point:{visible:!1,name:"",fixed:!0}},point3d:{infoboxDigits:"auto",strokeWidth:0,gradient:"radial",gradientSecondColor:"#555555",fillColor:"yellow",highlightStrokeColor:"#555555"},surface3d:{highlight:!1,tabindex:-1,strokeWidth:1,stepsU:30,stepsV:30},vectorfield3d:{scale:1,arrowhead:{enabled:!0,size:5,angle:.125*Math.PI}},view3d:{needsRegularUpdate:!0,projection:"parallel",verticalDrag:{enabled:!0,key:"shift"}}});t.Z.Options;t.Z.View3D=function(t,e,r){this.constructor(t,r,i.Z.OBJECT_TYPE_VIEW3D,i.Z.OBJECT_CLASS_3D),this.objects={},this.elementsByName={},this.defaultAxes=null,this.matrix3D=[[1,0,0,0],[0,1,0,0],[0,0,1,0]],this.llftCorner=e[0],this.size=e[1],this.bbox3D=e[2],this.r=-1,this.projectionType="parallel",this.timeoutAzimuth=null,this.id=this.board.setId(this,"V"),this.board.finalizeAdding(this),this.elType="view3d",this.methodMap=s.Z.deepCopy(this.methodMap,{})},t.Z.View3D.prototype=new z.Z,t.Z.extend(t.Z.View3D.prototype,{create:function(t,e,i){var s=[];return t.indexOf("3d")>0&&s.push(this),this.board.create(t,s.concat(e),i)},select:function(t,e){var i,r,o,n,a=t;if(null===a)return a;if(s.Z.isString(a)&&""!==a)s.Z.exists(this.objects[a])?a=this.objects[a]:s.Z.exists(this.elementsByName[a])&&(a=this.elementsByName[a]);else if(!e&&(s.Z.isFunction(a)||s.Z.isObject(a)&&!s.Z.isFunction(a.setAttribute))){for(r={},n=(i=s.Z.filterElements(this.objectsList,a)).length,o=0;o<n;o++)r[i[o].id]=i[o];a=new B(r)}else s.Z.isObject(a)&&s.Z.exists(a.id)&&!s.Z.exists(this.objects[a.id])&&(a=null);return a},updateParallelProjection:function(){var t,e,i,s,r=[[1,0,0,0],[0,1,0,0],[0,0,1,0]];return i=this.el_slide.Value(),t=this.r,e=this.az_slide.Value(),s=t*Math.sin(i),r[1][1]=t*Math.cos(e),r[1][2]=-t*Math.sin(e),r[2][1]=s*Math.sin(e),r[2][2]=s*Math.cos(e),r[2][3]=Math.cos(i),r},updateCentralProjection:function(){var t,e,i,s,r,n,a,h,l,c,d=1/Math.tan(.5*Math.PI/2),u=[.5*(this.bbox3D[0][0]+this.bbox3D[0][1]),.5*(this.bbox3D[0][0]+this.bbox3D[0][1]),.5*(this.bbox3D[0][0]+this.bbox3D[0][1])],p=[0,0,1],f=[[0,0,0,-1],[0,d,0,0],[0,0,d,0],[320/-12,0,0,28/-12]];return e=this.az_slide.Value(),t=2*this.el_slide.Value(),12,e+=3*Math.PI*.5,c=[(l=[12*Math.cos(e)*Math.cos(t),-12*Math.sin(e)*Math.cos(t),12*Math.sin(t)])[0]-u[0],l[1]-u[1],l[2]-u[2]],a=o.Z.norm(c,3),i=[c[0]/a,c[1]/a,c[2]/a],a=o.Z.norm(p,3),n=[p[0]/a,p[1]/a,p[2]/a],s=o.Z.crossProduct(n,i),r=o.Z.crossProduct(i,s),h=[[1,0,0,0],[-(n=o.Z.matVecMult([s,r,i],l))[0],s[0],s[1],s[2]],[-n[1],r[0],r[1],r[2]],[-n[2],i[0],i[1],i[2]]],f=o.Z.matMatMult(f,h)},update:function(){var t,e;return s.Z.exists(this.el_slide)&&s.Z.exists(this.az_slide)&&this.needsUpdate?(t=[[1,0,0],[0,1,0],[0,0,1]],this.projectionType=s.Z.evaluate(this.visProp.projection),"parallel"===this.projectionType?(e=[[1,0,0,0],[-.5*(this.bbox3D[0][0]+this.bbox3D[0][1]),1,0,0],[-.5*(this.bbox3D[1][0]+this.bbox3D[1][1]),0,1,0],[-.5*(this.bbox3D[2][0]+this.bbox3D[2][1]),0,0,1]],t[1][1]=this.size[0]/(this.bbox3D[0][1]-this.bbox3D[0][0]),t[2][2]=this.size[1]/(this.bbox3D[1][1]-this.bbox3D[1][0]),t[1][0]=this.llftCorner[0]+.5*t[1][1]*(this.bbox3D[0][1]-this.bbox3D[0][0]),t[2][0]=this.llftCorner[1]+.5*t[2][2]*(this.bbox3D[1][1]-this.bbox3D[1][0]),this.matrix3D=this.updateParallelProjection(),this.matrix3D=o.Z.matMatMult(t,o.Z.matMatMult(this.matrix3D,e))):(this.matrix3D=this.updateCentralProjection(),.4,t[1][1]=this.size[0]/.8,t[2][2]=this.size[1]/.8,t[1][0]=this.llftCorner[0]+.5*t[1][1]*.8,t[2][0]=this.llftCorner[1]+.5*t[2][2]*.8,this.viewPortTransform=t),this):this},updateRenderer:function(){return this.needsUpdate=!1,this},removeObject:function(e,i){var r;if(s.Z.isArray(e)){for(r=0;r<e.length;r++)this.removeObject(e[r]);return this}if(e=this.select(e),!s.Z.exists(e)||s.Z.isString(e))return this;try{delete this.objects[e.id]}catch(i){t.Z.debug("View3D "+e.id+": Could not be removed: "+i)}return this.board.removeObject(e,i),this},project3DTo2D:function(t,e,i){var s,r;return s=3===arguments.length?[1,t,e,i]:3===t.length?[1].concat(t):t,r=o.Z.matVecMult(this.matrix3D,s),"parallel"===this.projectionType?r:(r[1]/=r[0],r[2]/=r[0],r[3]/=r[0],r[0]/=r[0],o.Z.matVecMult(this.viewPortTransform,r.slice(0,3)))},project2DTo3DPlane:function(t,e,i){var s,r,n,a,h=e.slice(1),l=[1,0,0,0];i=i||[1,0,0,0],a=o.Z.norm(h,3),n=o.Z.innerProduct(i.slice(1),h,3)/a,(s=this.matrix3D.slice(0,3)).push([0].concat(h)),r=t.coords.usrCoords.concat([n]);try{1===s[2][3]&&(s[2][1]=s[2][2]=.001*o.Z.eps),l=o.Z.Numerics.Gauss(s,r)}catch(t){l=[0,NaN,NaN,NaN]}return l},project2DTo3DVertical:function(t,e){var i=this.matrix3D[2],s=i[3],r=t.coords.usrCoords[2];return r-=i[0]*i[0]+i[1]*e[1]+i[2]*e[2],Math.abs(s)<o.Z.eps?e:e.slice(0,3).concat([r/s])},project3DToCube:function(t){var e=this.bbox3D;return t[1]<e[0][0]&&(t[1]=e[0][0]),t[1]>e[0][1]&&(t[1]=e[0][1]),t[2]<e[1][0]&&(t[2]=e[1][0]),t[2]>e[1][1]&&(t[2]=e[1][1]),t[3]<e[2][0]&&(t[3]=e[2][0]),t[3]>e[2][1]&&(t[3]=e[2][1]),t},intersectionLineCube:function(t,e,i){var s,r,o,n;for(s=i,r=0;r<3;r++)0!==e[r]&&(o=(this.bbox3D[r][0]-t[r])/e[r],n=(this.bbox3D[r][1]-t[r])/e[r],s=i<0?Math.max(s,Math.min(o,n)):Math.min(s,Math.max(o,n)));return s},isInCube:function(t){return t[0]>this.bbox3D[0][0]-o.Z.eps&&t[0]<this.bbox3D[0][1]+o.Z.eps&&t[1]>this.bbox3D[1][0]-o.Z.eps&&t[1]<this.bbox3D[1][1]+o.Z.eps&&t[2]>this.bbox3D[2][0]-o.Z.eps&&t[2]<this.bbox3D[2][1]+o.Z.eps},intersectionPlanePlane:function(t,e,i){var s,r,n,a,h=[[],[]];return 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h)if(h.hasOwnProperty(i))switch(r=i.replace(/\s+/g,"").toLowerCase(),o=h[i],r){case"numberpointshigh":case"stepsu":case"stepsv":s.Z.exists(this.visProp[r])&&(!t.Z.Validator[r]||t.Z.Validator[r]&&t.Z.Validator[r](o)||t.Z.Validator[r]&&s.Z.isFunction(o)&&t.Z.Validator[r](o()))&&(o=(!o.toLowerCase||"false"!==o.toLowerCase())&&o,this._set(r,o));break;default:s.Z.exists(this.element2D)&&this.element2D.setAttribute(h)}},getAttribute:function(t){var e;switch(t=t.toLowerCase()){case"numberpointshigh":case"stepsu":case"stepsv":e=this.visProp[t];break;default:s.Z.exists(this.element2D)&&(e=this.element2D.getAttribute(t))}return e},getAttributes:function(){var t,e,i={},r=["numberpointshigh","stepsu","stepsv"],o=r.length;for(s.Z.exists(this.element2D)&&(i=s.Z.merge(this.element2D.getAttributes())),t=0;t<o;t++)e=r[t],s.Z.exists(this.visProp[e])&&(i[e]=this.visProp[e]);return i},remove:function(){}});t.Z.GeometryElement3D;t.Z.createAxes3D=function(t,e,i){var r,o,n,a,h,l,c,d,u,p,f,_,g,m,b,v,Z,C=e[0],y=["x","y","z"],P="Axis",E=["Rear","Front"],O=[0,0,0],x=[0,0,0],S={};if(s.Z.exists(C.bbox3D))for(r=0;r<y.length;r++)O[r]=C.bbox3D[r][0],x[r]=C.bbox3D[r][1];else for(r=0;r<y.length;r++)O[r]=e[1][r],x[r]=e[2][1];for(c=(l=s.Z.copyAttributes(i,t.options,"axes3d")).axesposition,r=0;r<y.length;r++)b=(d=y[r])+P,"center"===c?(u=[0,0,0],(p=[0,0,0])[r]=x[r],S[b]=C.create("axis3d",[u,p],l[b.toLowerCase()])):(b+="Border",u=O.slice(),p=x.slice(),2===r?(u[1]=x[1],p[0]=O[0]):(u[r]=x[r],p[2]=O[2]),p[r]=x[r],l[b.toLowerCase()].lastArrow=!1,S[b]=C.create("axis3d",[u,p],l[b.toLowerCase()]),Z={visible:!0,minorTicks:0,tickEndings:[0,1],drawLabels:!1},2===r&&(Z.tickEndings=[1,0]),S[b+"Ticks"]=C.create("ticks",[S[b],1],Z));for(S.O=C.create("intersection",[S[y[0]+P],S[y[1]+P]],{name:"",visible:!1,withLabel:!1}),r=0;r<y.length;r++)for(a=(r+1)%3,h=(r+2)%3,d=y[r],o=0;o<E.length;o++)(u=[0,0,0])[r]=0===o?O[r]:x[r],_=[0,0,0],(f=[0,0,0])[a]=1,_[h]=1,g=[O[a],x[a]],m=[O[h],x[h]],b=d+"Plane"+E[o],l=s.Z.copyAttributes(i,t.options,"axes3d",b),S[b]=C.create("plane3d",[u,f,_,g,m],l),S[b].elType="axisplane3d";for(r=0;r<y.length;r++)for(d=y[r],o=0;o<E.length;o++)for(n=1;n<=2;n++)b=d+"Plane"+E[o]+y[a=(r+n)%3].toUpperCase()+"Axis",v=d+"Plane"+E[o],(u=[0,0,0])[r]=(p=[0,0,0])[r]=0===o?O[r]:x[r],u[a]=O[a],p[a]=x[a],l=s.Z.copyAttributes(i,t.options,"axes3d",b),S[b]=C.create("axis3d",[u,p],l),S[v].addChild(S[b]),S[v].element2D.inherits.push(S[b]);return S},t.Z.registerElement("axes3d",t.Z.createAxes3D),t.Z.createAxis3D=function(t,e,i){var r,o,n,a,h,l,c=e[0],d=e[1],u=e[2];return r=s.Z.copyAttributes(i.point1,t.options,"axis3d","point1"),o=c.create("point",[(a=d[0],h=d[1],l=d[2],function(){return c.project3DTo2D(a,h,l)[1]}),function(t,e,i){return function(){return c.project3DTo2D(t,e,i)[2]}}(d[0],d[1],d[2])],r),r=s.Z.copyAttributes(i.point2,t.options,"axis3d","point2"),n=c.create("point",[function(t,e,i){return function(){return c.project3DTo2D(t,e,i)[1]}}(u[0],u[1],u[2]),function(t,e,i){return function(){return c.project3DTo2D(t,e,i)[2]}}(u[0],u[1],u[2])],r),r=s.Z.copyAttributes(i,t.options,"axis3d"),c.create("arrow",[o,n],r)},t.Z.registerElement("axis3d",t.Z.createAxis3D),t.Z.createMesh3D=function(e,i,r){var o,n=i[0],a=i[1],h=i[2],l=i[3],c=i[4],d=i[5];return(o=n.create("curve",[[],[]],r)).updateDataArray=function(){var e,i,r,o,u=l[0],p=l[1],f=d[0],_=d[1],g=[0,0,0],m=[0,0,0],b=[0,0,0];if(this.dataX=[],this.dataY=[],s.Z.isFunction(a))b=a().slice(1);else for(o=0;o<3;o++)b[o]=s.Z.evaluate(a[o]);for(o=0;o<3;o++)g[o]=s.Z.evaluate(h[o]),m[o]=s.Z.evaluate(c[o]);for(e=t.Z.Math.norm(g,3),i=t.Z.Math.norm(m,3),o=0;o<3;o++)g[o]/=e,m[o]/=i;r=n.getMesh([function(t,e){return b[0]+t*g[0]+e*m[0]},function(t,e){return b[1]+t*g[1]+e*m[1]},function(t,e){return b[2]+t*g[2]+e*m[2]}],[Math.ceil(u),Math.floor(p),(Math.ceil(p)-Math.floor(u))/1],[Math.ceil(f),Math.floor(_),(Math.ceil(_)-Math.floor(f))/1]),this.dataX=r[0],this.dataY=r[1]},o},t.Z.registerElement("mesh3d",t.Z.createMesh3D),t.Z.Point3D=function(t,e,r,o){this.constructor(t.board,o,i.Z.OBJECT_TYPE_POINT3D,i.Z.OBJECT_CLASS_3D),this.constructor3D(t,"point3d"),this.board.finalizeAdding(this),this.coords=[0,0,0,0],this.F=e,this.slide=r,this.X=function(){return this.coords[1]},this.Y=function(){return this.coords[2]},this.Z=function(){return this.coords[3]},this._params=null,this._c2d=null,this.methodMap=s.Z.deepCopy(this.methodMap,{})},t.Z.Point3D.prototype=new t.Z.GeometryElement,s.Z.copyPrototypeMethods(t.Z.Point3D,t.Z.GeometryElement3D,"constructor3D"),t.Z.extend(t.Z.Point3D.prototype,{updateCoords:function(){var t;if(s.Z.isFunction(this.F))this.coords=[1].concat(s.Z.evaluate(this.F));else for(this.coords[0]=1,t=0;t<3;t++)s.Z.isFunction(this.F[t])&&(this.coords[t+1]=s.Z.evaluate(this.F[t]));return this},initCoords:function(){var t;if(s.Z.isFunction(this.F))this.coords=[1].concat(s.Z.evaluate(this.F));else for(this.coords[0]=1,t=0;t<3;t++)this.coords[t+1]=s.Z.evaluate(this.F[t]);return this},normalizeCoords:function(){return Math.abs(this.coords[0])>o.Z.eps&&(this.coords[1]/=this.coords[0],this.coords[2]/=this.coords[0],this.coords[3]/=this.coords[0],this.coords[0]=1),this},setPosition:function(t,e){var i=this.coords;this.coords.slice();return 3===t.length?(i[0]=1,i[1]=t[0],i[2]=t[1],i[3]=t[2]):(i[0]=t[0],i[1]=t[1],i[2]=t[2],i[3]=t[2],this.normalizeCoords()),this},update:function(t){var e,s;return this.element2D.draggable()&&0!==h.Z.distance(this._c2d,this.element2D.coords.usrCoords)?this.slide?this.projectCoords2Surface():(this.view.isVerticalDrag()?e=this.view.project2DTo3DVertical(this.element2D,this.coords):(s=[1,0,0,this.coords[3]],e=this.view.project2DTo3DPlane(this.element2D,[1,0,0,1],s)),0!==e[0]&&(this.coords=this.view.project3DToCube(e))):(this.updateCoords(),this.element2D.coords.setCoordinates(i.Z.COORDS_BY_USER,this.view.project3DTo2D([1,this.X(),this.Y(),this.Z()]))),this._c2d=this.element2D.coords.usrCoords.slice(),this},updateRenderer:function(){return this.needsUpdate=!1,this},projectCoords2Surface:function(){var t,e,r,n=[0,0],a=this.slide,h=this;null!==a&&(r=function(t,e,i,s){var r=[1,a.X(i[0],i[1]),a.Y(i[0],i[1]),a.Z(i[0],i[1])],o=h.view.project3DTo2D(r);return s[0]=h.element2D.X()-o[1],s[1]=h.element2D.Y()-o[2],s[0]*s[0]+s[1]*s[1]},s.Z.exists(this._params)&&(n=this._params.slice()),o.Z.Nlp.FindMinimum(r,2,2,n,5,1e-6,0,200),t=[1,a.X(n[0],n[1]),a.Y(n[0],n[1]),a.Z(n[0],n[1])],e=this.view.project3DTo2D(t),this._params=n,this.coords=t,this.element2D.coords.setCoordinates(i.Z.COORDS_BY_USER,e),this._c2d=e)},__evt__update3D:function(t){}}),t.Z.createPoint3D=function(e,i,r){var o,n,a,h,l,c=i[0];if(a=i.length>2&&s.Z.exists(i[i.length-1].is3D)?i.pop():null,2===i.length)n=i[1];else{if(4!==i.length)throw new Error("JSXGraph: Can't create point3d with parent types '"+typeof i[0]+"' and '"+typeof i[1]+"'.\nPossible parent types: [[x,y,z]], [x,y,z]");n=i.slice(1)}return o=s.Z.copyAttributes(r,e.options,"point3d"),(l=new t.Z.Point3D(c,n,a,o)).initCoords(),h=c.project3DTo2D(l.coords),o=l.setAttr2D(o),l.element2D=c.create("point",h,o),l.addChild(l.element2D),l.inherits.push(l.element2D),l.element2D.setParents(l),l._c2d=l.element2D.coords.usrCoords.slice(),l},t.Z.registerElement("point3d",t.Z.createPoint3D),t.Z.Curve3D=function(t,e,r,o,n,a,h){this.constructor(t.board,h,i.Z.OBJECT_TYPE_CURVE3D,i.Z.OBJECT_CLASS_3D),this.constructor3D(t,"curve3d"),this.board.finalizeAdding(this),this.F=e,this.X=r,this.Y=o,this.Z=n,this.dataX=null,this.dataY=null,this.dataZ=null,null!==this.F&&(this.X=function(t){return this.F(t)[0]},this.Y=function(t){return this.F(t)[1]},this.Z=function(t){return this.F(t)[2]}),this.range=a,this.methodMap=s.Z.deepCopy(this.methodMap,{})},t.Z.Curve3D.prototype=new t.Z.GeometryElement,s.Z.copyPrototypeMethods(t.Z.Curve3D,t.Z.GeometryElement3D,"constructor3D"),t.Z.extend(t.Z.Curve3D.prototype,{updateDataArray2D:function(){var t,e,i,r,o,n,a,h,l,c=s.Z.evaluate(this.visProp.numberpointshigh),d=[0,0,0];if(a=[],h=[],s.Z.exists(this.dataX))for(c=this.dataX.length,n=0;n<c;n++)d=[this.dataX[n],this.dataY[n],this.dataZ[n]],o=this.view.project3DTo2D(d),a.push(o[1]),h.push(o[2]);else if(s.Z.isArray(this.X))for(c=this.X.length,n=0;n<c;n++)d=[this.X[n],this.Y[n],this.Z[n]],o=this.view.project3DTo2D(d),a.push(o[1]),h.push(o[2]);else for(t=s.Z.evaluate(this.range),e=s.Z.evaluate(t[0]),r=((i=s.Z.evaluate(t[1]))-e)/(c-1),l=0,n=e;l<c&&n<=i;l++,n+=r)d=null!==this.F?this.F(n):[this.X(n),this.Y(n),this.Z(n)],o=this.view.project3DTo2D(d),a.push(o[1]),h.push(o[2]);return{X:a,Y:h}},updateDataArray:function(){},update:function(){return this.updateDataArray(),this},updateRenderer:function(){return this.needsUpdate=!1,this}}),t.Z.createCurve3D=function(e,i,r){var o,n,a,h,l,c,d,u=i[0];return 3===i.length?(o=i[1],l=i[2],n=null,a=null,h=null):(n=i[1],a=i[2],h=i[3],l=i[4],o=null),c=s.Z.copyAttributes(r,e.options,"curve3d"),c=(d=new t.Z.Curve3D(u,o,n,a,h,l,c)).setAttr2D(c),d.element2D=u.create("curve",[[],[]],c),d.element2D.updateDataArray=function(){var t=d.updateDataArray2D();this.dataX=t.X,this.dataY=t.Y},d.addChild(d.element2D),d.inherits.push(d.element2D),d.element2D.setParents(d),d.element2D.prepareUpdate().update(),e.isSuspendedUpdate||d.element2D.updateVisibility().updateRenderer(),d},t.Z.registerElement("curve3d",t.Z.createCurve3D),t.Z.createVectorfield3D=function(t,e,i){var r,n,a=e[0];if(!(e.length>=5&&(s.Z.isArray(e[1])||s.Z.isFunction(e[0])||s.Z.isString(e[0]))&&s.Z.isArray(e[2])&&3===e[1].length&&s.Z.isArray(e[3])&&3===e[2].length&&s.Z.isArray(e[4])&&3===e[3].length))throw new Error("JSXGraph: Can't create vector field 3D with parent types '"+typeof e[0]+"', '"+typeof e[1]+"', '"+typeof e[2]+"'.'"+typeof e[1]+"', ");return n=s.Z.copyAttributes(i,t.options,"vectorfield3d"),(r=a.create("curve3d",[[],[],[]],n)).setF=function(t,e){var i,o,n;return s.Z.isArray(t)?(i=s.Z.createFunction(t[0],this.board,e),o=s.Z.createFunction(t[1],this.board,e),n=s.Z.createFunction(t[2],this.board,e),this.F=function(t,e,s){return[i(t,e,s),o(t,e,s),n(t,e,s)]}):this.F=s.Z.createFunction(t,r.board,e),this},r.setF(e[1],"x, y, z"),r.xData=e[2],r.yData=e[3],r.zData=e[4],r.updateDataArray=function(){var 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t,e,i,r,n,a,l,c,d,u,p,f,_,g,m=["xPlaneRear","yPlaneRear","zPlaneRear"],b=[],v=[0,0,0],Z=[0,0,0],C=[0,0,0],y=[0,0,0],P=this.view;if(this.dataX=[],this.dataY=[],this.updateNormal(),"axisplane3d"!==this.elType&&P.defaultAxes&&s.Z.evaluate(this.range1[0])===-1/0&&s.Z.evaluate(this.range1[1])===1/0&&s.Z.evaluate(this.range2[0])===-1/0&&s.Z.evaluate(this.range2[1])===1/0){for(u=0;u<m.length;u++){if(3===(y=P.intersectionPlanePlane(this,P.defaultAxes[m[u]]))[0].length&&3===y[1].length){for(d=0;d<b.length&&!(h.Z.distance(y[0],b[d][0],3)<o.Z.eps&&h.Z.distance(y[1],b[d][1],3)<o.Z.eps||h.Z.distance(y[0],b[d][1],3)<o.Z.eps&&h.Z.distance(y[1],b[d][0],3)<o.Z.eps);d++);d===b.length&&b.push(y.slice())}if((y=[0,0,0])[u]=P.bbox3D[u][1],c=o.Z.innerProduct(y,P.defaultAxes[m[u]].normal,3),3===(y=P.intersectionPlanePlane(this,P.defaultAxes[m[u]],c))[0].length&&3===y[1].length){for(d=0;d<b.length&&!(h.Z.distance(y[0],b[d][0],3)<o.Z.eps&&h.Z.distance(y[1],b[d][1],3)<o.Z.eps||h.Z.distance(y[0],b[d][1],3)<o.Z.eps&&h.Z.distance(y[1],b[d][0],3)<o.Z.eps);d++);d===b.length&&b.push(y.slice())}}0,_=0,d=0;do{for(3===(y=b[_][d]).length&&(n=P.project3DTo2D(y),this.dataX.push(n[1]),this.dataY.push(n[2])),d=(d+1)%2,y=b[_][d],g=_,u=0;u<b.length;u++){if(u!==_&&h.Z.distance(y,b[u][0])<o.Z.eps){_=u,d=0;break}if(u!==_&&h.Z.distance(y,b[u][1])<o.Z.eps){_=u,d=1;break}}if(_===g){console.log("Error: 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n=s.Z.providePoints3D(l,[i[1]],r,"plane3d",["point"])[0],o=s.Z.copyAttributes(r,e.options,"plane3d"),a=new t.Z.Plane3D(l,n,c,u,d,p,o),n.addChild(a),o=a.setAttr2D(o),a.element2D=l.create("curve",[[],[]],o),a.element2D.updateDataArray=function(){var t=a.updateDataArray();this.dataX=t.X,this.dataY=t.Y},a.addChild(a.element2D),a.inherits.push(a.element2D),a.element2D.setParents(a),o=s.Z.copyAttributes(r.mesh3d,e.options,"mesh3d"),Math.abs(a.range1[0])!==1/0&&Math.abs(a.range1[1])!==1/0&&Math.abs(a.range2[0])!==1/0&&Math.abs(a.range2[1])!==1/0&&(h=l.create("mesh3d",[function(){return 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