/*
    JSXGraph 1.9.0

    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 r,s=i(765),o="1.9.0";r={version:o,licenseText:"JSXGraph v1.9.0 Copyright (C) see 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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,r,n,a,d,u,p,f,_,m,g,b,v,Z,C,y,P,E,O=2*Math.PI,x=!1,S=this.slideObject,M=[];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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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])>s.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,r,s,n,a,h,d,u=0,p=1/0,f=null,_=c.Z.evaluate(this.visProp.ignoredsnaptopoints),m=!1;if(s=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<s;e++){if(i=this.board.objectsList[e],_){for(m=!1,d=0;d<h;d++)if(i===this.board.select(_[d])){m=!0;break}if(m)continue}c.Z.isPoint(i)&&i!==this&&i.visPropCalc.visible&&(r=o.Z.projectPointToPoint(this,i,this.board),(u="screen"===n?r.distance(l.Z.COORDS_BY_SCREEN,this.coords):r.distance(l.Z.COORDS_BY_USER,this.coords))<a&&u<p&&(p=u,f=r))}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,r,s=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?(r=o.Z.projectCoordsToSegment(this.coords.usrCoords,e.point1.coords.usrCoords,e.point2.coords.usrCoords),i=!c.Z.evaluate(e.visProp.straightfirst)&&r[1]<0?e.point1.coords:!c.Z.evaluate(e.visProp.straightlast)&&r[1]>1?e.point2.coords:new h.Z(l.Z.COORDS_BY_USER,r[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)),(s="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}s>=d&&(e===this.slideObject||this.slideObject&&this.onPolygon&&this.slideObject.parentPolygon===e)&&this.popSlideObject()}return this}},setPositionDirectly:function(t,e){var i,r,o,n,d=this.coords;if(this.relativeCoords)return r=new h.Z(t,e,this.board),c.Z.evaluate(this.visProp.islabel)?(o=a.Z.subtract(r.scrCoords,d.scrCoords),this.relativeCoords.scrCoords[1]+=o[1],this.relativeCoords.scrCoords[2]+=o[2]):(o=a.Z.subtract(r.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,s.Z.matVecMult(s.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,s,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++)(s=r.Z.Math.Geometry.distPointLine(this.coords.usrCoords,o.borders[i].stdform))<e&&(e=s,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,r=[],s=["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)?(r[e]=this.board.jc.snippet(i,!0,null,!0),this.addParentsFromJCFunctions([r[e]]),2===t.length&&(this[s[e]+"jc"]=t[e])):c.Z.isFunction(i)?r[e]=i:c.Z.isNumber(i)?r[e]=o(i):c.Z.isObject(i)&&c.Z.isFunction(i.Value)&&(r[e]=n(i)),r[e].origin=i;return 1===t.length?this.updateConstraint=function(){var t=r[0]();return c.Z.isArray(t)?this.coords.setCoordinates(l.Z.COORDS_BY_USER,t):this.coords=t,this}:2===t.length?(this.XEval=r[0],this.YEval=r[1],this.addParents([r[0].origin,r[1].origin]),this.updateConstraint=function(){return this.coords.setCoordinates(l.Z.COORDS_BY_USER,[this.XEval(),this.YEval()]),this}):(this.ZEval=r[0],this.XEval=r[1],this.YEval=r[2],this.addParents([r[0].origin,r[1].origin,r[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,r=c.Z.isArray(e)?e:[e],s=r.length;for(0===this.transformations.length&&(this.baseElement=t),i=0;i<s;i++)this.transformations.push(r[i]);return this},startAnimation:function(t,e,i){var r=c.Z.evaluate(t),s=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(r,s)}),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 r,s,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,r=0;r<o;r++)c.Z.isPoint(t[r])?u[r]=t[r]:u[r]={elementClass:l.Z.OBJECT_CLASS_POINT,X:f(r,0),Y:f(r,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(s=n.Z.Neville(u),r=0;r<p;r++)d[r]=[],d[r][0]=s[0]((p-r)/p*s[3]()),d[r][1]=s[1]((p-r)/p*s[3]());else{for(o=t.length-1,r=0;r<p;++r)h=r/p*o-(a=Math.floor(r/p*o)),d[r]=[],d[r][0]=(1-h)*u[a].X()+h*u[a+1].X(),d[r][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 r,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])>s.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)<s.Z.eps&&Math.abs(f)<s.Z.eps)return this;for(r=n;r>=0;r--)a[n-r]=[t.usrCoords[0],d+p*_(r),u+f*_(r)];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 r,s,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)),s=0;s<i.repeat;s++)for(r=o;r>=0;r--)a[s*(o+1)+o-r]=[t.usrCoords[0],d+p*_(r),u+f*_(r)];return this.animationPath=a,this.animationCallback=i.callback,this.board.addAnimation(this),this},_anim:function(t,e){var i,r,s,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),r=Math.round((d[2]-c[2])*this.intervalCount/e),t>0?n=this.slideObject.point1:(n=this.slideObject.point2,i*=-1,r*=-1),this.coords.setCoordinates(l.Z.COORDS_BY_SCREEN,[n.coords.scrCoords[1]+i,n.coords.scrCoords[2]+r])):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&&(s=2*Math.PI,s*=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(s),this.slideObject.center.coords.usrCoords[2]+h*Math.sin(s)])),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}}),r.Z.CoordsElement.create=function(t,e,i,r,s,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],r,s,o)).addConstraint(i);else if(c.Z.isNumber(i[0])&&c.Z.isNumber(i[1]))n=new t(e,i,r,s,o),c.Z.exists(r.slideobject)?n.makeGlider(r.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],r,s,o)).addTransform(i[0],i[1]),n.isDraggable=!1}return n.handleSnapToGrid(),n.handleSnapToPoints(),n.handleAttractors(),n.addParents(i),n},e.Z=r.Z.CoordsElement},958:function(t,e,i){var r=i(765),s=i(351),o=i(705),n=i(275),a=i(309),h=i(766),l=i(88),c=i(327),d=i(109);r.Z.GeometryElement=function(t,e,i,r){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",Name:"getName",addTransform:"addTransform",setProperty:"setAttribute",setAttribute:"setAttribute",addChild:"addChild",animate:"animate",on:"on",off:"off",trigger:"trigger",addTicks:"addTicks",removeTicks:"removeTicks",removeAllTicks:"removeAllTicks",Bounds:"bounds"},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=r||s.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}},r.Z.extend(r.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,r;for(i=(r=d.Z.isArray(t)?t:arguments).length,e=0;e<i;++e)d.Z.exists(r[e])&&(d.Z.isId(this.board,r[e])?this.parents.push(r[e]):d.Z.exists(r[e].id)&&this.parents.push(r[e].id));this.parents=d.Z.uniqueArray(this.parents)},setParents:function(t){this.parents=[],this.addParents(t)},addParentsFromJCFunctions:function(t){var e,i,r;for(e=0;e<t.length;e++)for(i in t[e].deps)r=t[e].deps[i],this.addParents(r),r.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!==s.Z.OBJECT_TYPE_GLIDER},setPosition:function(t,e){var i,r,o,n,a=[];if(!d.Z.exists(this.parents))return this;for(o=this.parents.length,r=0;r<o;++r)if(i=this.board.select(this.parents[r]),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),r=0;r<o;++r)a[r].type===s.Z.OBJECT_TYPE_GLIDER&&a[r].updateGlider();return this},setPositionDirectly:function(t,e,i){var r=new o.Z(t,e,this.board,!1),n=new o.Z(t,i,this.board,!1),h=a.Z.subtract(r.usrCoords,n.usrCoords);return this.setPosition(s.Z.COORDS_BY_USER,h),this},generatePolynomial:function(){return[]},animate:function(t,e,i){i=i||{};var r,s,o,n=this.board.attr.animationdelay,a=Math.ceil(e/n),h=this,l=function(t,e,i){var r,s,n,l,d;for(r=c.Z.rgb2hsv(t),n=((s=c.Z.rgb2hsv(e))[0]-r[0])/a,l=(s[1]-r[1])/a,d=(s[2]-r[2])/a,h.animationData[i]=[],o=0;o<a;o++)h.animationData[i][a-o-1]=c.Z.hsv2rgb(r[0]+(o+1)*n,r[1]+(o+1)*l,r[2]+(o+1)*d)},u=function(t,e,i,r){var s,n;if(t=parseFloat(t),e=parseFloat(e),!isNaN(t)&&!isNaN(e))for(n=(e-t)/a,h.animationData[i]=[],o=0;o<a;o++)s=t+(o+1)*n,h.animationData[i][a-o-1]=r?Math.floor(s):s};for(r in this.animationData={},t)if(t.hasOwnProperty(r))switch(s=r.toLowerCase()){case"strokecolor":case"fillcolor":l(this.visProp[s],t[r],s);break;case"size":if(!d.Z.isPoint(this))break;u(this.visProp[s],t[r],s,!0);break;case"strokeopacity":case"strokewidth":case"fillopacity":u(this.visProp[s],t[r],s,!1)}return this.animationCallback=i.callback,this.board.addAnimation(this),this},update:function(){return 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,r,s,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,r=0;r<i;r++)if(o=this.inherits[r],d.Z.isArray(o))for(s=o.length,e=0;e<s;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,r,s,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,r=0;r<i;r++)if(o=this.inherits[r],d.Z.isArray(o))for(s=o.length,e=0;e<s;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 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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(){r.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]:r.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===s.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 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t=d.Z.evaluate(this.visProp.gradient);"linear"!==t&&"radial"!==t||this.board.renderer.setGradient(this)},createLabel:function(){var t,e=this;return r.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=r.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)):r.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(', 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r.Z.deprecated("strokeColor()","setAttribute()"),this.setAttribute({strokeColor:t}),this},strokeWidth:function(t){return r.Z.deprecated("strokeWidth()","setAttribute()"),this.setAttribute({strokeWidth:t}),this},fillColor:function(t){return r.Z.deprecated("fillColor()","setAttribute()"),this.setAttribute({fillColor:t}),this},highlightFillColor:function(t){return r.Z.deprecated("highlightFillColor()","setAttribute()"),this.setAttribute({highlightFillColor:t}),this},labelColor:function(t){return r.Z.deprecated("labelColor()","setAttribute()"),this.setAttribute({labelColor:t}),this},dash:function(t){return r.Z.deprecated("dash()","setAttribute()"),this.setAttribute({dash:t}),this},visible:function(t){return r.Z.deprecated("visible()","setAttribute()"),this.setAttribute({visible:t}),this},shadow:function(t){return r.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=[],r=i.length;for(e.id=this.id,e.name=this.name,t=0;t<r;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,_,m=d.Z.evaluate(this.visProp.attracttogrid),g=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)||m||!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 r.Z.Coords(s.Z.COORDS_BY_USER,[n,a],this.board),(!m||h.distance("screen"===g?s.Z.COORDS_BY_SCREEN:s.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(s.Z.COORDS_BY_USER,[i,o])))),this},getBoundingBox:function(){var t,e,i,r,o,n=[1/0,1/0,-1/0,-1/0];if(this.type===s.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===s.Z.OBJECT_CLASS_CIRCLE)r=this.center.X(),o=this.center.Y(),n=[r-this.radius,o+this.radius,r+this.radius,o-this.radius];else if(this.elementClass===s.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:r.Z.shortcut(r.Z.GeometryElement.prototype,"on"),removeEvent:r.Z.shortcut(r.Z.GeometryElement.prototype,"off"),formatNumberLocale:function(t,e){var i,r,s,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(s in i=d.Z.evaluate(this.visProp.intl.locale)||d.Z.evaluate(this.board.attr.intl.locale),r=d.Z.evaluate(this.visProp.intl.options)||{})r.hasOwnProperty(s)&&(n.hasOwnProperty(s)?o[n[s]]=d.Z.evaluate(r[s]):o[s]=d.Z.evaluate(r[s]));return s="maximumfractiondigits",d.Z.exists(r[s])||(o[n[s]]=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__click:function(t){},__evt__dblclick:function(t){},__evt__mouseclick:function(t){},__evt__mousedblclick:function(t){},__evt__pointerclick:function(t){},__evt__pointerdblclick: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=r.Z.GeometryElement},573:function(t,e,i){var r=i(765),s=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()};r.Z.Text=function(t,e,i,r){var o;this.constructor(t,i,s.Z.OBJECT_TYPE_TEXT,s.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(r),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",move:"setCoords",Size:"getSize",setAutoPosition:"setAutoPosition"})},r.Z.Text.prototype=new o.Z,h.Z.copyPrototypeMethods(r.Z.Text,c.Z,"coordsConstructor"),r.Z.extend(r.Z.Text.prototype,{hasPoint:function(t,e){var i,r,s,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]),r=(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],s=(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<r+d&&e>=s-d&&e<=o+d:e>=s-d&&e<=o+d&&(t>=i-d&&t<=i+2*d||t>=r-2*d&&t<=r+d)},_createFctUpdateText:function(t){var e,i,r,s,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(){s=t().toString(),this.plaintext=!a||l||c?s:this.replaceSub(this.replaceSup(this.convertGeonextAndSketchometry2CSS(s,!1)))};else 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t,e,i=h.Z.evaluate(n.visProp.digits),r="";for(t=0;t<n.content.length;t++)h.Z.isFunction(n.content[t])?(e=n.content[t](),e=n.useLocale()?n.formatNumberLocale(e,i):h.Z.toFixed(e,i)):'"'===(e=n.content[t])[0]&&'"'===e[e.length-1]&&(e=e.slice(1,-1)),r+=e;return r}}else for(i in(e=this.board.jc.snippet(this.content,!0,"",!1)).deps)this.addParents(e.deps[i]),e.deps[i].addChild(this);this.updateText=function(){this.plaintext=this.unescapeTicks(e())}}else this.updateText=function(){this.plaintext=this.content}},_setText:function(t){return this._createFctUpdateText(t),this.updateText(),this.fullUpdate(),this.board.infobox&&this.id===this.board.infobox.id||this.updateSize(),this},setTextJessieCode:function(t){var e;return this.visProp.castext=t,e=h.Z.isFunction(t)?function(){return h.Z.sanitizeHTML(t())}:h.Z.isNumber(t)?t:h.Z.sanitizeHTML(t),this._setText(e)},setText:function(t){return this._setText(t)},updateSize:function(){var t,e,i,r=h.Z.evaluate(this.visProp.display);return a.Z.isBrowser&&"no"!==this.board.renderer.type?(i=this.rendNode,"html"===r||"vml"===this.board.renderer.type?h.Z.exists(i.offsetWidth)?(e=this,window.setTimeout((function(){e.size=[i.offsetWidth,i.offsetHeight],e.needsUpdate=!0,e.updateRenderer()}),0)):this.size=this.crudeSizeEstimate():"internal"===r&&("svg"===this.board.renderer.type?(e=this,window.setTimeout((function(){try{t=i.getBBox(),e.size=[t.width,t.height],e.needsUpdate=!0,e.updateRenderer()}catch(t){}}),0)):"canvas"===this.board.renderer.type&&(this.size=this.crudeSizeEstimate())),this):this},crudeSizeEstimate:function(){var t=parseFloat(h.Z.evaluate(this.visProp.fontsize));return[t*this.plaintext.length*.45,.9*t]},utf8_decode:function(t){return t.replace(/&#x(\w+);/g,(function(t,e){return String.fromCharCode(parseInt(e,16))}))},replaceSub:function(t){if(!t.indexOf)return t;for(var 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h.Z.isArray(t)&&t.length>1&&(e=t[1],t=t[0]),h.Z.evaluate(this.visProp.islabel)&&h.Z.exists(this.element)?(r=(t-(i=this.element.getLabelAnchor()).usrCoords[1])*this.board.unitX,o=-(e-i.usrCoords[2])*this.board.unitY,this.relativeCoords.setCoordinates(s.Z.COORDS_BY_SCREEN,[r,o])):this.coords.setCoordinates(s.Z.COORDS_BY_USER,[t,e]),this.fullUpdate(),this},update:function(t){return this.needsUpdate?(this.updateCoords(t),this.updateText(),"internal"===h.Z.evaluate(this.visProp.display)&&h.Z.isString(this.plaintext)&&(this.plaintext=this.utf8_decode(this.plaintext)),this.checkForSizeUpdate(),this.needsSizeUpdate&&this.updateSize(),this):this},checkForSizeUpdate:function(){this.board.infobox&&this.id===this.board.infobox.id?this.needsSizeUpdate=!1:(this.needsSizeUpdate=this.plaintextOld!==this.plaintext,this.needsSizeUpdate&&(this.plaintextOld=this.plaintext))},updateRenderer:function(){return 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 r,s,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-',r='"></span>';return h.Z.isString(t)&&(e&&(i=this.escapeTicks(i),r=this.escapeTicks(r)),t=(t=t.replace(/(<|&lt;)sketchofont(>|&gt;)/g,i)).replace(/(<|&lt;)\/sketchofont(>|&gt;)/g,r)),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 r=t+" is deprecated.";e&&(r+=" Please use "+e+" instead."),i.warn(r)},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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i=_utils_type__WEBPACK_IMPORTED_MODULE_7__.Z.def(i,!1),t&&t.methodMap&&(_utils_type__WEBPACK_IMPORTED_MODULE_7__.Z.exists(t.subs)&&_utils_type__WEBPACK_IMPORTED_MODULE_7__.Z.exists(t.subs[e])?t=t.subs:_utils_type__WEBPACK_IMPORTED_MODULE_7__.Z.exists(t.methodMap[e])?e=t.methodMap[e]:(t=t.visProp,e=e.toLowerCase())),_utils_type__WEBPACK_IMPORTED_MODULE_7__.Z.isFunction(t)&&this._error("Accessing function properties is not allowed."),_utils_type__WEBPACK_IMPORTED_MODULE_7__.Z.exists(t)||this._error(t+" is not an object"),_utils_type__WEBPACK_IMPORTED_MODULE_7__.Z.exists(t[e])||this._error("unknown property "+e),i&&"function"==typeof t[e]?function(){return t[e].apply(t,arguments)}:t[e]},resolveType:function(t,e){var i,r;if(_utils_type__WEBPACK_IMPORTED_MODULE_7__.Z.isArray(e))for(i=0;i<e.length;i++)if("any"!==(r=this.resolveType(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,r,s,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 i.what?this.setProp(i.o,i.what,e):this.letvar(i.what,e),this.lhs[this.scope.id]=0;break;case"op_if":this.execute(t.children[0])&&(e=this.execute(t.children[1]));break;case"op_conditional":case"op_if_else":e=this.execute(t.children[0])?this.execute(t.children[1]):this.execute(t.children[2]);break;case"op_while":for(;this.execute(t.children[0]);)this.execute(t.children[1]);break;case"op_do":do{this.execute(t.children[0])}while(this.execute(t.children[1]));break;case"op_for":for(this.execute(t.children[0]);this.execute(t.children[1]);this.execute(t.children[2]))this.execute(t.children[3]);break;case"op_proplst":t.children[0]&&this.execute(t.children[0]),t.children[1]&&this.execute(t.children[1]);break;case"op_emptyobject":e={};break;case"op_proplst_val":this.propstack.push({}),this.propscope++,this.execute(t.children[0]),e=this.propstack[this.propscope],this.propstack.pop(),this.propscope--;break;case"op_prop":this.propstack[this.propscope][t.children[0]]=this.execute(t.children[1]);break;case"op_array":for(e=[],o=t.children[0].length,r=0;r<o;r++)e.push(this.execute(t.children[0][r]));break;case"op_extvalue":e=this.execute(t.children[0]),e="number"==typeof(r=this.execute(t.children[1]))&&Math.abs(Math.round(r)-r)<_math_math__WEBPACK_IMPORTED_MODULE_3__.Z.eps?e[r]:undefined;break;case"op_return":if(0!==this.scope)return this.execute(t.children[0]);this._error("Unexpected return.");break;case"op_map":t.children[1].isMath||"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={},r=0;r<a.length;r++)l=_utils_type__WEBPACK_IMPORTED_MODULE_7__.Z.deepCopy(l,this.execute(a[r]),!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=_utils_type__WEBPACK_IMPORTED_MODULE_7__.Z.exists(h)&&_utils_type__WEBPACK_IMPORTED_MODULE_7__.Z.exists(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."),r=0;r<n.length;r++)_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[r]?(n[r]._isFunctionName=!0,d[r]=this.execute(n[r]),delete n[r]._isFunctionName):d[r]=this.execute(n[r]),this.dpstack[this.pscope].push({line:t.children[1][r].line,col:t.children[1][r].ecol});if("function"!=typeof h||h.creator)if("function"==typeof h&&h.creator){s=this.line;try{for((e=h(d,l)).jcLineStart=s,e.jcLineEnd=t.eline,r=s;r<=t.line;r++)this.lineToElement[r]=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":s=this.execute(t.children[0]),i=t.children[1],e=this.resolveProperty(s,i,!1),_utils_type__WEBPACK_IMPORTED_MODULE_7__.Z.exists(e)&&["number","string","boolean"].indexOf(typeof e)<0&&(e.sc=s);break;case"op_use":this._warn("Use of the 'use' operator is deprecated."),this.use(t.children[0].toString());break;case"op_delete":this._warn("Use of the 'delete' operator is deprecated. 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23;case 16:return 21;case 17:return 75;case 18:return 76;case 19:return 74;case 20:return 80;case 21:case 22:return 94;case 23:return 82;case 24:return 83;case 25:return 26;case 26:return 27;case 27:return 16;case 28:return"#";case 29:return 34;case 30:return 35;case 31:return 79;case 32:return 64;case 33:return 65;case 34:return 66;case 35:return 8;case 36:return 10;case 37:return 58;case 38:case 39:return 57;case 40:return 53;case 41:return 54;case 42:return 55;case 43:return 50;case 44:return 51;case 45:return 47;case 46:return 45;case 47:return 48;case 48:return 46;case 49:return 41;case 50:return 43;case 51:return 42;case 52:return 39;case 53:return 37;case 54:return 32;case 55:return 86;case 56:return 5;case 57:return 20;case 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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),rt[u]=Math.sqrt(x),(it[u]<H||rt[u]>E)&&(G=!1)}if(!v&&!G){for(b=0,_=E,u=1;u<=e;++u)rt[u]>_&&(b=u,_=rt[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,M=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-_),M=Math.max(M,c-_));for(w=z*(S-M)>2*c?-1:1,_=0,d=1;d<=e;++d)ot[d]=w*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];s[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[r][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[r][U],u=1;u<=e;++u)if((_=tt[F][u]+z*tt[r][u])<A||_===A&&0===z&&tt[r][u]<tt[r][U])continue e;for($=z*V-c,p=1;p<=e;++p)s[p]=q[p][U]+ot[p];v=!0;continue t}for(Z=!1,D=tt[F][U]+z*tt[r][U]-(j+z*X),0===z&&j===tt[F][U]&&($=V,D=tt[r][U]-X),k=D<=0?1:0,b=0,u=1;u<=e;++u)(_=Math.abs(this.DOT_PRODUCT_ROW_COL(Q,u,ot,-1,1,e)))>k&&(b=u,k=_),st[u]=_*it[u];for(R=1.1*J,f=0,u=1;u<=e;++u)if(st[u]>=H||st[u]>=it[u]){if(_=rt[u],D>0){for(_=0,p=1;p<=e;++p)_+=Math.pow(ot[p]-q[p][u],2);_=Math.sqrt(_)}_>R&&(f=u,R=_)}if(f>0&&(b=f),0!==b){for(_=0,d=1;d<=e;++d)q[d][b]=ot[d],_+=Q[b][d]*ot[d];for(p=1;p<=e;++p)Q[b][p]/=_;for(u=1;u<=e;++u)if(u!==b)for(_=this.DOT_PRODUCT_ROW_COL(Q,u,ot,-1,1,e),p=1;p<=e;++p)Q[u][p]-=_*Q[b][p];for(p=1;p<=r;++p)tt[p][b]=K[p];if(D>0&&D>=.1*$)continue 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a,h,l,c,d,u,p,f,_,m,g,b,v,Z,C,y,P,E,O,x,S,M,w,T,N,A,D,k,R,L,B,I,Y,j=0,X=0,U=0,F=this.arr2(1+t,1+t),J=this.arr(2+e),z=this.arr(2+e),G=this.arr(1+t),W=this.arr(1+t),H=this.arr(2+e),V=this.arr(2+e),$=e,K=0;for(l=1;l<=t;++l)F[l][l]=1,n[l]=0;if(a=0,h=0,e>=1){for(c=1;c<=e;++c)r[c]>h&&(h=r[c],a=c);for(c=1;c<=e;++c)V[c]=c,z[c]=h-r[c]}d=!0;do{t:for(;;){(!d||d&&0===h)&&(a=$=e+1,V[$]=$,z[$]=0),d=!1,u=0,p=0,f=0,_=0;e:do{if(m=$===e?h:-this.DOT_PRODUCT_ROW_COL(n,-1,i,$,1,t),0===p||m<u?(u=m,X=K,p=3):K>X?(X=K,p=3):--p,0===p)break t;if(g=0,a<=K){if(a<K){b=V[a],v=z[a],c=a;do{for(y=V[C=c+1],P=this.DOT_PRODUCT(this.PART(this.COL(F,c),1,t),this.PART(this.COL(i,y),1,t)),j=o.Z.hypot(P,J[C]),E=J[C]/j,O=P/j,J[C]=E*J[c],J[c]=j,l=1;l<=t;++l)j=E*F[l][C]+O*F[l][c],F[l][C]=E*F[l][c]-O*F[l][C],F[l][c]=j;V[c]=y,z[c]=z[C],c=C}while(c<K);V[c]=b,z[c]=v}if(--K,$>e)for(j=1/J[K],c=1;c<=t;++c)G[c]=j*F[c][K];else 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n,a,h,l,c,d,u,p,f,_,m,g=null,b=!1,v="",Z=[],C=0;for(p=t.board.origin.scrCoords,Z[C++]=[e,i,r,s,o,1/0];C>0;){if(e=(m=Z[--C])[0],i=m[1],r=m[2],s=m[3],f=m[4],_=m[5],b=!1,v="",g=null,t.points.length>65536)return;if(f<this.nanLevel){if(this._isUndefined(t,e,i,r,s))continue;if(this._isOutside(e,i,r,s,t.board))continue}n=.5*(i+s),d=t.X(n,!0),u=t.Y(n,!0),a=[1,p[1]+d*t.board.unitX,p[2]-u*t.board.unitY],h=this._triangleDists(e,r,a),l=isNaN(e[1]+e[2]),c=isNaN(r[1]+r[2]),l&&!c||!l&&c?v="border":h[0]>.66*_||h[0]<this.cusp_threshold*(h[1]+h[2])||h[1]>5*h[2]||h[2]>5*h[1]?v="cusp":(h[2]>this.jump_threshold*h[0]||h[1]>this.jump_threshold*h[0]||h[0]===1/0||h[1]===1/0||h[2]===1/0)&&(v="jump"),b=""===v&&f<this.smoothLevel&&h[3]<this.smooth_threshold,f<this.testLevel&&!b&&(""===v?b=!0:g=this._getLimes(t,i,e,n,a,s,r,v,f)),null!==g?(a=[1,NaN,NaN],this._insertPoint(t,a,n,f,g)):f<=0||b?this._insertPoint(t,a,n,f,null):(Z[C++]=[a,n,r,s,f-1,h[0]],Z[C++]=[e,i,a,n,f-1,h[0]])}return 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l=t.board.updateQuality===t.board.BOARD_QUALITY_LOW?r.Z.evaluate(t.visProp.recursiondepthlow)||14:r.Z.evaluate(t.visProp.recursiondepthhigh)||17,this.smoothLevel=7,this.nanLevel=l-4,this.testLevel=4,this.cusp_threshold=.5,this.jump_threshold=.99,this.smooth_threshold=2,t.points=[],"x"===t.xterm?(c=.3*((d=t.board.getBoundingBox())[2]-d[0]),o=Math.max(e,d[0]-c),n=Math.min(s,d[2]+c)):(o=e,n=s),_.setCoordinates(i.Z.COORDS_BY_USER,[t.X(o,f),t.Y(o,f)],!1),f=!0,m.setCoordinates(i.Z.COORDS_BY_USER,[t.X(n,f),t.Y(n,f)],!1),p=this._findStartPoint(t,_.scrCoords,o,m.scrCoords,n),_.setCoordinates(i.Z.COORDS_BY_SCREEN,p[0],!1),o=p[1],p=this._findStartPoint(t,m.scrCoords,n,_.scrCoords,o),m.setCoordinates(i.Z.COORDS_BY_SCREEN,p[0],!1),n=p[1],this._visibleArea=[o,n],a=_.copy("scrCoords"),h=m.copy("scrCoords"),_._t=o,t.points.push(_),this._lastScrCrds=_.copy("scrCoords"),this._lastUsrCrds=_.copy("usrCoords"),this._plotNonRecursive(t,a,o,h,n,l),m._t=n,t.points.push(m),t.numberPoints=t.points.length,t},_criticalInterval:function(t,e,i){var r,s,o,n,a,h,l,c=!1,d=-1/0,u=!1,f=!1,_=0,m=[],g=[],b=[];for(l=p.Z.abs(t),(n=p.Z.median(l))<1e-7?(n=1e-7,u=!0):n*=this.criticalThreshold,r=0;r<e;r++)l[r]>n?(b.push({i:r,v:t[r],group:_}),d=r,c||(c=!0)):c&&r>d+4&&(b.length>0&&m.push(b.slice(0)),b=[],c=!1,_++);for(c&&b.length>1&&m.push(b.slice(0)),u&&0===m.length&&(f=!0),s=0;s<m.length;s++)if(g[s]="point",!((o=m[s].length)<64)){for(h=0,a=Math.sign(m[s][0].v),r=1;r<o;r++)Math.sign(m[s][r].v)!==a&&(h++,a=Math.sign(m[s][r].v));6*h>o&&(g[s]="interval")}return{smooth:f,groups:m,types:g}},Component:function(){this.left_isNaN=!1,this.right_isNaN=!1,this.left_t=null,this.right_t=null,this.t_values=[],this.x_values=[],this.y_values=[],this.len=0},findComponents:function(t,e,i,r){var s,o,n,a,h,l,c=[],d=0,u=0,p=0,f=!1,_=!1;for(n=(i-e)/r,c[d]=new this.Component,l=c[d],s=0,o=e;s<=r;s++,o+=n)a=t.X(o,_),h=t.Y(o,_),isNaN(a)||isNaN(h)?++p>1&&f&&(l.right_isNaN=!0,l.right_t=o-n,l.len=u,f=!1,c[++d]=new 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i,r,s,o,n,a,h,l,c,d,u,p=t.t_values,f=t.x_values,_=t.y_values,m=[],g=[],b=[],v=[],Z=[],C=[],y=[],P=[],E=0,O=[];for(n=p[1]-p[0],Z.push([]),C.push([]),y.push([]),P.push([]),s=_.length,i=0;i<s;i++)Z[0][i]=f[i],C[0][i]=_[i],y[0][i]=f[i],P[0][i]=_[i];for(Z.push([]),C.push([]),y.push([]),P.push([]),a=n,s=_.length-1,i=0;i<s;i++)m[i]=f[i+1]-f[i],g[i]=_[i+1]-_[i],b[i]=m[i],v[i]=g[i],Z[1][i]=m[i],C[1][i]=g[i],y[1][i]=a/m[i],P[1][i]=a/g[i];for(s--,o=Math.min(8,_.length-1),r=1;r<o;r++){for(Z.push([]),C.push([]),y.push([]),P.push([]),a*=n,i=0;i<s;i++)m[i]=m[i+1]-m[i],g[i]=g[i+1]-g[i],Z[r+1][i]=m[i],C[r+1][i]=g[i],y[r+1][i]=a/(y[r][i+1]-y[r][i])+y[r-1][i+1],P[r+1][i]=a/(P[r][i+1]-P[r][i])+P[r-1][i+1];if(!1===(u=this._criticalPoints(g,s,r))){console.log("Polynomial of 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n,a,h,l,c,d,u,p,f,_,m,g,b=i.idx;if(g=e.t_values[1]-e.t_values[0],"borderleft"===i.type?h=(a=n=e.left_isNaN?e.left_t:i.t-g)+g:"borderright"===i.type?a=(h=n=e.right_isNaN?e.right_t:i.t+g)-g:console.log("No bordercase!!!"),0!==(_=this.findComponents(t,a,h,32)).length){for("borderleft"===i.type&&(a=_[0].left_t,h=_[0].t_values[0],g=_[0].t_values[1]-_[0].t_values[0],n=a=null===a?h-g:a,l=this.getInterval(t,a,h),r.Z.isObject(l)&&(u=l.lo,p=l.hi,c=t.X(n,!0),d=o[1][b]<0?p:u,this._insertPoint_v4(t,[1,c,d],n))),m=_[0].t_values.length,f=0;f<m;f++)n=_[0].t_values[f],c=_[0].x_values[f],d=_[0].y_values[f],this._insertPoint_v4(t,[1,c,d],n);"borderright"===i.type&&(a=_[0].t_values[m-1],h=_[0].right_t,g=_[0].t_values[1]-_[0].t_values[0],n=h=null===h?a+g:h,l=this.getInterval(t,a,h),r.Z.isObject(l)&&(u=l.lo,p=l.hi,c=t.X(n,!0),d=o[1][b]>0?p:u,this._insertPoint_v4(t,[1,c,d],n)))}},_seconditeration_v4:function(t,e,i,r,s){var o,n,a,h,l,c,d,u,p,f,_,m,g;for(n=e.t_values[i.idx-2],a=e.t_values[i.idx+2],l=this.findComponents(t,n,a,64),d=0;d<l.length;d++){for(c=l[d],u=(h=this.differenceMethod(c,t))[0],f=h[1],_=h[2],m=0,p=0;p<=u.length;p++){for(g=p===u.length?c.len:u[p].idx,o=m;o<g;o++)isNaN(c.x_values[o])||isNaN(c.y_values[o])||this._insertPoint_v4(t,[1,c.x_values[o],c.y_values[o]],c.t_values[o]);p<u.length&&(this.handleSingularity(t,c,u[p],f,_),m=u[p].idx+1)}g=c.len,d<l.length-1&&this._insertPoint_v4(t,[1,NaN,NaN],c.right_t)}return this},_recurse_v4:function(t,e,i,r,s,n,a,h){var l,c,d=.5*(e+i),u=t.X(d,!0),p=t.Y(d,!0);0!==h?(l=(u-r)*t.board.unitX,c=(p-s)*t.board.unitY,o.Z.hypot(l,c)>2?this._recurse_v4(t,e,d,r,s,u,p,h-1):this._insertPoint_v4(t,[1,u,p],d),l=(u-n)*t.board.unitX,c=(p-a)*t.board.unitY,o.Z.hypot(l,c)>2?this._recurse_v4(t,d,i,u,p,n,a,h-1):this._insertPoint_v4(t,[1,u,p],d)):this._insertPoint_v4(t,[1,NaN,NaN],d)},handleSingularity:function(t,e,i,s,o){var 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Math.abs(t)>this.ONE_EIGHTY_DEG&&(t>0?t-=this.THREE_SIXTY_DEG:t+=this.THREE_SIXTY_DEG),t},makeknots:function(t,e){var i,r,s=[];for(r=t.length,i=0;i<r;i++)s.push({x:t[i][0],y:t[i][1],ltype:this.MP_OPEN,rtype:this.MP_OPEN,lx:!1,rx:!1,ly:e,ry:e,left_curl:function(){return this.lx||0},right_curl:function(){return this.rx||0},left_tension:function(){return this.ly||1},right_tension:function(){return this.ry||1},set_right_curl:function(t){this.rx=t||0},set_left_curl:function(t){this.lx=t||0}});for(r=s.length,i=0;i<r;i++)s[i].next=s[i+1]||s[i],s[i].set_right_given=s[i].set_right_curl,s[i].set_left_given=s[i].set_left_curl,s[i].right_given=s[i].right_curl,s[i].left_given=s[i].left_curl;return s[r-1].next=s[0],s},curve:function(t,e){var i,s,o,n,a,h,l=!1,c=[],d=[];for(n in 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c.push(i[s-1].x),d.push(i[s-1].y),l&&(c.push(i[s-1].rx),d.push(i[s-1].ry),c.push(i[0].lx),d.push(i[0].ly),c.push(i[0].x),d.push(i[0].y)),[c,d]}};var m=o.Z.Metapost,g=[0,128,64,192,32,160,96,224,16,144,80,208,48,176,112,240,8,136,72,200,40,168,104,232,24,152,88,216,56,184,120,248,4,132,68,196,36,164,100,228,20,148,84,212,52,180,116,244,12,140,76,204,44,172,108,236,28,156,92,220,60,188,124,252,2,130,66,194,34,162,98,226,18,146,82,210,50,178,114,242,10,138,74,202,42,170,106,234,26,154,90,218,58,186,122,250,6,134,70,198,38,166,102,230,22,150,86,214,54,182,118,246,14,142,78,206,46,174,110,238,30,158,94,222,62,190,126,254,1,129,65,193,33,161,97,225,17,145,81,209,49,177,113,241,9,137,73,201,41,169,105,233,25,153,89,217,57,185,121,249,5,133,69,197,37,165,101,229,21,149,85,213,53,181,117,245,13,141,77,205,45,173,109,237,29,157,93,221,61,189,125,253,3,131,67,195,35,163,99,227,19,147,83,211,51,179,115,243,11,139,75,203,43,171,107,235,27,155,91,219,59,187,123,251,7,135,71,199,39,167,103,231,23,151,87,215,55,183,119,247,15,143,79,207,47,175,111,239,31,159,95,223,63,191,127,255],b=[3,4,5,6,7,8,9,10,11,13,15,17,19,23,27,31,35,43,51,59,67,83,99,115,131,163,195,227,258,0,0],v=[0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,5,5,5,5,0,99,99],Z=[1,2,3,4,5,7,9,13,17,25,33,49,65,97,129,193,257,385,513,769,1025,1537,2049,3073,4097,6145,8193,12289,16385,24577],C=[0,0,0,0,1,1,2,2,3,3,4,4,5,5,6,6,7,7,8,8,9,9,10,10,11,11,12,12,13,13],y=[16,17,18,0,8,7,9,6,10,5,11,4,12,3,13,2,14,1,15];t.Z.Util=t.Z.Util||{},t.Z.Util.Unzip=function(e){var i,r,s,o,n=[],a=0,h=[],l=new Array(32768),c=0,d=!1,u=e.length,p=0,f=1,_=new Array(288),m=new Array(32),P=0,E=null,O=0,x=new Array(17),S=[];function M(){return p<u?e[p++]:-1}function w(){f=1}function T(){var t;try{t=1&f,0===(f>>=1)&&(t=1&(f=M()),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=g[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 k(){this.b0=0,this.b1=0,this.jump=null,this.jumppos=-1}function R(){for(;;){if(x[O]>=o)return-1;if(s[x[O]]===O)return x[O]++;x[O]++}}function L(){var t,e=E[P];if(17===O)return-1;if(P++,O++,(t=R())>=0)e.b0=t;else if(e.b0=32768,L())return-1;if((t=R())>=0)e.b1=t,e.jump=null;else if(e.b1=32768,e.jump=E[P],e.jumppos=P,L())return-1;return O--,0}function B(t,e,i,r){var n;for(E=t,P=0,s=i,o=e,n=0;n<17;n++)x[n]=0;return 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P=t.Z.Util,E=[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,8,8,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10,3,3,3,3,3,3,3,3,3,3,3,3,4,3,3,11,6,6,6,5,8,8,8,8,8,8,8,8,8,8,8,0,12,24,36,60,96,84,12,12,12,48,72,12,12,12,12,12,12,12,12,12,12,12,12,12,0,12,12,12,12,12,0,12,0,12,12,12,24,12,12,12,12,12,24,12,24,12,12,12,12,12,12,12,12,12,24,12,12,12,12,12,24,12,12,12,12,12,12,12,24,12,12,12,12,12,12,12,12,12,36,12,36,12,12,12,36,12,12,12,12,12,36,12,36,12,12,12,36,12,12,12,12,12,12,12,12,12,12];t.Z.Util=t.Z.Util||{},t.Z.Util.UTF8={encode:function(t){var e,i,r="",s=t.length;if(t=t.replace(/\r\n/g,"\n"),"function"==typeof unescape&&"function"==typeof encodeURIComponent)return unescape(encodeURIComponent(t));for(e=0;e<s;e++)(i=t.charCodeAt(e))<128?r+=String.fromCharCode(i):i>127&&i<2048?(r+=String.fromCharCode(i>>6|192),r+=String.fromCharCode(63&i|128)):(r+=String.fromCharCode(i>>12|224),r+=String.fromCharCode(i>>6&63|128),r+=String.fromCharCode(63&i|128));return r},decode:function(t){var e,i,r,s=0,o=0,n=0,a=[],h=t.length,l=[];for(e=0;e<h;e++)i=t.charCodeAt(e),r=E[i],o=0!==n?63&i|o<<6:255>>r&i,0===(n=E[256+n+r])&&(o>65535?a.push(55232+(o>>10),56320+(1023&o)):a.push(o),++s%1e4==0&&(l.push(String.fromCharCode.apply(null,a)),a=[]));return l.push(String.fromCharCode.apply(null,a)),l.join("")},asciiCharCodeAt:function(t,e){var i=t.charCodeAt(e);if(i>255)switch(i){case 8364:i=128;break;case 8218:i=130;break;case 402:i=131;break;case 8222:i=132;break;case 8230:i=133;break;case 8224:i=134;break;case 8225:i=135;break;case 710:i=136;break;case 8240:i=137;break;case 352:i=138;break;case 8249:i=139;break;case 338:i=140;break;case 381:i=142;break;case 8216:i=145;break;case 8217:i=146;break;case 8220:i=147;break;case 8221:i=148;break;case 8226:i=149;break;case 8211:i=150;break;case 8212:i=151;break;case 732:i=152;break;case 8482:i=153;break;case 353:i=154;break;case 8250:i=155;break;case 339:i=156;break;case 382:i=158;break;case 376:i=159}return i}};var O=t.Z.Util.UTF8,x="ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789+/",S="=";t.Z.Util=t.Z.Util||{},t.Z.Util.Base64={_getByte:function(t,e){return 255&t.charCodeAt(e)},_getIndex:function(t,e){return x.indexOf(t.charAt(e))},encode:function(t){var e,i,r,s,o,n=[];for(s=(r=(o=O.encode(t)).length)%3,e=0;e<r-s;e+=3)i=this._getByte(o,e)<<16|this._getByte(o,e+1)<<8|this._getByte(o,e+2),n.push(x.charAt(i>>18),x.charAt(i>>12&63),x.charAt(i>>6&63),x.charAt(63&i));switch(s){case 1:i=this._getByte(o,r-1),n.push(x.charAt(i>>2),x.charAt(i<<4&63),S,S);break;case 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0===FileReader?this.handleRemoteFile(t,e,i,s,o,n):this.handleLocalFile(t,e,i,s,o,n)},parseString:function(e,i,s,o){var n;if(s=s.toLowerCase(),n=t.Z.readers[s],r.Z.exists(n))new n(i,e).read();else if("jessiecode"!==s)throw new Error("JSXGraph: There is no reader available for '"+s+"'.");r.Z.isFunction(o)&&o(i)}},!e.Z.isMetroApp()&&e.Z.isBrowser&&"object"==typeof navigator&&/msie/i.test(navigator.userAgent)&&!/opera/i.test(navigator.userAgent)&&document&&document.write&&document.write('<script type="text/vbscript">\nFunction Base64Encode(inData)\n  Const Base64 = "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789+/"\n  Dim cOut, sOut, I\n  For I = 1 To LenB(inData) Step 3\n    Dim nGroup, pOut, sGroup\n    nGroup = &H10000 * AscB(MidB(inData, I, 1)) + _\n      &H100 * MyASC(MidB(inData, I + 1, 1)) + MyASC(MidB(inData, I + 2, 1))\n    nGroup = Oct(nGroup)\n    nGroup = String(8 - Len(nGroup), "0") & nGroup\n    pOut = Mid(Base64, CLng("&o" & Mid(nGroup, 1, 2)) + 1, 1) + _\n      Mid(Base64, CLng("&o" & Mid(nGroup, 3, 2)) + 1, 1) + _\n      Mid(Base64, CLng("&o" & Mid(nGroup, 5, 2)) + 1, 1) + _\n      Mid(Base64, CLng("&o" & Mid(nGroup, 7, 2)) + 1, 1)\n    sOut = sOut + pOut\n  Next\n  Select Case LenB(inData) Mod 3\n    Case 1: \'8 bit final\n      sOut = Left(sOut, Len(sOut) - 2) + "=="\n    Case 2: \'16 bit final\n      sOut = Left(sOut, Len(sOut) - 1) + "="\n  End Select\n  Base64Encode = sOut\nEnd Function\n\nFunction MyASC(OneChar)\n  If OneChar = "" Then MyASC = 0 Else MyASC = AscB(OneChar)\nEnd Function\n\nFunction jxgBinFileReader(xhr)\n    Dim byteString\n    Dim b64String\n    Dim i\n    byteString = xhr.responseBody\n    ReDim byteArray(LenB(byteString))\n    For i = 1 To LenB(byteString)\n        byteArray(i-1) = AscB(MidB(byteString, i, 1))\n    Next\n    b64String = Base64Encode(byteString)\n    jxgBinFileReader = b64String\nEnd Function\n<\/script>\n');var L=t.Z.FileReader,B=__webpack_require__(632),I=__webpack_require__(254),Y=__webpack_require__(327);t.Z.Composition=function(t){var e,i=this,s=["setAttribute","setParents","prepareUpdate","updateRenderer","update","fullUpdate","highlight","noHighlight"],o=function(t){return function(){var e;for(e in i.elements)i.elements.hasOwnProperty(e)&&r.Z.exists(i.elements[e][t])&&i.elements[e][t].apply(i.elements[e],arguments);return i}};for(e=0;e<s.length;e++)this[s[e]]=o(s[e]);for(e in this.elements={},this.objects=this.elements,this.elementsByName={},this.objectsList=[],this.groups={},this.methodMap={setAttribute:"setAttribute",setProperty:"setAttribute",setParents:"setParents",add:"add",remove:"remove",select:"select"},t)t.hasOwnProperty(e)&&this.add(e,t[e]);this.dump=!0,this.subs={}},t.Z.extend(t.Z.Composition.prototype,{add:function(t,e){return!(r.Z.exists(this[t])||!r.Z.exists(e))&&(r.Z.exists(e.id)?this.elements[e.id]=e:this.elements[t]=e,r.Z.exists(e.name)&&(this.elementsByName[e.name]=e),e.on("attribute:name",this.nameListener,this),this.objectsList.push(e),this[t]=e,this.methodMap[t]=e,!0)},remove:function(t){var e,i=!1;for(e in this.elements)if(this.elements.hasOwnProperty(e)&&this.elements[e].id===this[t].id){i=!0;break}return i&&(delete this.elements[this[t].id],delete this[t]),i},nameListener:function(t,e,i){delete this.elementsByName[t],this.elementsByName[e]=i},select:function(e){return r.Z.exists(t.Z.Board)?t.Z.Board.prototype.select.call(this,e):new 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 j=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,r.Z.exists(_.document)&&!1!==_.document?this.document=_.document:e.Z.isBrowser&&(this.document=document),this.container="",this.containerObj=null,r.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 "'+o+'" not found.');this.renderer=n,this.grids=[],this.options=r.Z.deepCopy(k.Z),this.attr=_,"default"!==this.attr.theme&&r.Z.exists(t.Z.themes[this.attr.theme])&&r.Z.mergeAttr(this.options,t.Z.themes[this.attr.theme],!0),this.dimension=2,this.jc=new I.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,r.Z.exists(a)&&""!==a&&e.Z.isBrowser&&!r.Z.exists(this.document.getElementById(a))?this.id=a:this.id=this.generateId(),s.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.clickObjects={},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&&(r.Z.exists(this.attr.registerevents.fullscreen)||(this.attr.registerevents.fullscreen=!0),r.Z.exists(this.attr.registerevents.keyboard)||(this.attr.registerevents.keyboard=!0),r.Z.exists(this.attr.registerevents.pointer)||(this.attr.registerevents.pointer=!0),r.Z.exists(this.attr.registerevents.resize)||(this.attr.registerevents.resize=!0),r.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",getBoundingBox:"getBoundingBox",BoundingBox:"getBoundingBox",getView:"getBoundingBox",View:"getBoundingBox",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,s,o=this.attr.maxnamelength,n="",a="",h=[],l="";if(t.type===i.Z.OBJECT_TYPE_TICKS)return"";for(e=r.Z.isPoint(t)||r.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"],r.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="}"),s=0;s<o;s++)h[s]=0;for(;h[o-1]<e.length;){for(h[0]=1;h[0]<e.length;h[0]++){for(l=n,s=o;s>0;s--)l+=e[h[s-1]];if(!r.Z.exists(this.elementsByName[l+a]))return l+a}for(h[0]=e.length,s=1;s<o;s++)h[s-1]===e.length&&(h[s-1]=1,h[s]+=1)}return""},generateId:function(){for(var e=1;r.Z.exists(t.Z.boards["jxgBoard"+e]);)e=Math.round(65535*Math.random());return"jxgBoard"+e},setId:function(t,e){var i,s=this.numObjects,o=t.id;if(this.numObjects+=1,""===o||!r.Z.exists(o))for(o=this.id+e+s;r.Z.exists(this.objects[o]);)i=Math.round(65535*Math.random()),o=this.id+e+s+"-"+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===r.Z.evaluate(t.visProp.visible)&&this.renderer.display(t,!1)},finalizeLabel:function(t){t.hasLabel&&!r.Z.evaluate(t.label.visProp.islabel)&&!1===r.Z.evaluate(t.label.visProp.visible)&&this.renderer.display(t.label,!1)},checkFrameRate:function(t){var e=!1,i=(new Date).getTime();return r.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,s,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(s=c.getBoundingClientRect(),o=1,n=c;n&&r.Z.exists(n.parentNode);)r.Z.exists(n.style)&&r.Z.exists(n.style.zoom)&&""!==n.style.zoom&&(o*=parseFloat(n.style.zoom)),n=n.parentNode;return(t=[s.left*o,s.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},getPointLoc:function(t,e){var i,s,o,n;return i=this.getBoundingBox(),2===(s=t).length&&s.unshift(void 0),o=[0,0],n=e||0,r.Z.isNumber(n)&&(n=[n,n,n,n]),s[1]>i[2]-n[1]&&(o[0]=1),s[1]<i[0]+n[3]&&(o[0]=-1),s[2]>i[1]-n[0]&&(o[1]=1),s[2]<i[3]+n[2]&&(o[1]=-1),o},getLocationOrigin:function(t){return this.getPointLoc([0,0],t)},getMousePosition:function(t,i){var r,s,n=this.getCoordsTopLeftCorner();return r=e.Z.getPosition(t,i,this.document),this.updateCSSTransforms(),s=[1,r[0]-n[0],r[1]-n[1]],(s=o.Z.matVecMult(this.cssTransMat,s))[1]/=s[0],s[2]/=s[0],[s[1],s[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,s,o){var n,a,h,l=[],c=[],d=this.objectsList.length,u={visProp:{layer:-1e4}};for(this._shiftKey=s.shiftKey,this._ctrlKey=s.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"],[s]),this.downObjects.push(n)),h&&n.isDraggable&&n.visPropCalc.visible&&(this.geonextCompatibilityMode&&(r.Z.isPoint(n)||n.elementClass===i.Z.OBJECT_CLASS_TEXT)||!this.geonextCompatibilityMode)&&!r.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&&r.Z.exists(u.label)&&n===u.label||(u=n,l.push(u),r.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&&r.Z.exists(l[0])&&r.Z.evaluate(l[0].visProp.dragtotopoflayer)&&1===l.length&&r.Z.exists(l[0].rendNode)&&l[0].rendNode.parentNode.appendChild(l[0].rendNode),l.length>=1&&(l[0].highlight(!0),this.triggerEventHandlers(["mousehit","hit"],[s,l[0]])),l},moveObject:function(t,e,s,o,n){var a,h,l,c=new u.Z(i.Z.COORDS_BY_SCREEN,this.getScrCoordsOfMouse(t,e),this);s&&s.obj&&((a=s.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,r.Z.exists(a.coords)?a.setPositionDirectly(i.Z.COORDS_BY_SCREEN,this.drag_position):(this.displayInfobox(!1),isNaN(s.targets[0].Xprev+s.targets[0].Yprev)||a.setPositionDirectly(i.Z.COORDS_BY_SCREEN,[c.scrCoords[1],c.scrCoords[2]],[s.targets[0].Xprev,s.targets[0].Yprev]),s.targets[0].Xprev=c.scrCoords[1],s.targets[0].Yprev=c.scrCoords[2]),r.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,s){var o;r.Z.exists(t)&&r.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),s&&o.triggerEventHandlers(["touchdrag","drag"],[s]))},getTwoFingerTransform(t,e,r,s){var n,a,h,l,c,d,p,f,_,m,g,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=(m=(n=new u.Z(i.Z.COORDS_BY_SCREEN,[e.X,e.Y],this).usrCoords)[1])-f)*(d=l-a)+(v=(g=n[2])-_)*(p=c-h))/(y=d*d+p*p),C=(v*d-b*p)/y,r||(Z/=P=o.Z.hypot(Z,C),C/=P),s||(C=0),[1,0,0,.5*(f+m-Z*(a+l)+C*(h+c)),Z,-C,.5*(_+g-C*(a+l)-Z*(h+c)),C,Z]},twoFingerTouchObject:function(t,e,s){var o,n,a,h,l,c,d=!1;if(r.Z.exists(t[0])&&r.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],r.Z.evaluate(e.visProp.scalable),r.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=r.Z.evaluate(c.snaptogrid)||r.Z.evaluate(c.snaptopoints),h=0;h<l&&!d;++h)c=e.vertices[h].visProp,d=(d=d||r.Z.evaluate(c.snaptogrid)||r.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,s){var o,n,a,l,c,d,p,f,_,m,g;"pointCircle"!==e.method&&"pointLine"!==e.method&&r.Z.exists(t[0])&&r.Z.exists(t[1])&&!isNaN(t[0].Xprev+t[0].Yprev+t[1].Xprev+t[1].Yprev)&&(s===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(_),r.Z.evaluate(e.visProp.scalable)&&(d=h.Z.distance(c,a)/h.Z.distance(c,l),m=this.create("transform",[d,d],{type:"scale"}),f.melt(m)),g=this.create("transform",[c[1],c[2]],{type:"translate"}),f.melt(g),e.center.draggable()&&f.applyOnce([e.center]),"twoPoints"===e.method?e.point2.draggable()&&f.applyOnce([e.point2]):"pointRadius"===e.method&&r.Z.isNumber(e.updateRadius.origin)&&e.setRadius(e.radius*d),this.update(e.center),e.highlight(!0))},highlightElements:function(t,e,i,s){var o,n,a,h={},l=this.objectsList.length;for(o=0;o<l;o++)a=(n=this.objectsList[o]).id,r.Z.exists(n.hasPoint)&&n.visPropCalc.visible&&n.hasPoint(t,e)&&(this.updateInfobox(n),r.Z.exists(this.highlightedObjects[a])||(h[a]=n,n.highlight(),this.triggerEventHandlers(["mousehit","hit"],[i,n,s])),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,s){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 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e,i,r=t.touches;return(e=this.attr.pan.enabled&&!this.attr.pan.needtwofingers&&1===r.length)&&(i=this.getMousePosition(t,0),this.initMoveOrigin(i[0],i[1])),e},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 r.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&&(r.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),e.Z.addEvent(t,"click",this.pointerClickListener,this),e.Z.addEvent(t,"dblclick",this.pointerDblClickListener,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),e.Z.addEvent(t,"click",this.mouseClickListener,this),e.Z.addEvent(t,"dblclick",this.mouseDblClickListener,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"],r=i.length;if(!this.hasFullscreenEventHandlers&&e.Z.isBrowser){for(t=0;t<r;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"],r=i.length;if(this.hasFullscreenEventHandlers&&e.Z.isBrowser){for(t=0;t<r;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),e.Z.removeEvent(t,"click",this.pointerClickListener,this),e.Z.removeEvent(t,"dblclick",this.pointerDblClickListener,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),e.Z.removeEvent(t,"click",this.mouseClickListener,this),e.Z.removeEvent(t,"dblclick",this.mouseDblClickListener,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,s,o,n,a,l,c,d,p,f,_,m,g,b=!1,v=this.attr.zoom.factorx,Z=this.attr.zoom.factory,C=!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),!!r.Z.exists(this.prevCoords)&&(s=[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]],s[0]*s[0]+s[1]*s[1]<100&&o[0]*o[0]+o[1]*o[1]<100||(n=h.Z.rad(s,[0,0],o),"pan"!==this.isPreviousGesture&&Math.abs(n)>.2*Math.PI&&Math.abs(n)<1.8*Math.PI&&(b=!0),"pan"===this.isPreviousGesture||b||(Math.abs(t.scale)<.77||Math.abs(t.scale)>1.3)&&(b=!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&&!b?(this.isPreviousGesture="pan",this.moveOrigin(e.scrCoords[1],e.scrCoords[2],!0)):this.attr.zoom.enabled&&Math.abs(a-1)<.5&&(C=!1,p=this.attr.zoom.center,(this.attr.zoom.pinchhorizontal||this.attr.zoom.pinchvertical)&&(f=Math.abs(t.touches[0].clientX-t.touches[1].clientX),_=Math.abs(t.touches[0].clientY-t.touches[1].clientY),c=Math.abs(Math.atan2(_,f)),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,m=0,g=0,C=!0):!this.keepaspectratio&&this.attr.zoom.pinchvertical&&Math.abs(c-.5*Math.PI)<d?(this.attr.zoom.factorx=1,this.attr.zoom.factory=a,m=0,g=0,C=!0):this.attr.zoom.pinch&&(this.attr.zoom.factorx=a,this.attr.zoom.factory=a,m=e.usrCoords[1],g=e.usrCoords[2],C=!0),C&&("board"===p?this.zoomIn():this.zoomIn(m,g),this.attr.zoom.factorx=v,this.attr.zoom.factory=Z))),!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,s){var o,n,a,h,l,c,d,u,p,f,_;if(!i&&this._isPointerRegistered(t))return!1;if(null===r.Z.evaluate(this.attr.movetarget)&&r.Z.exists(t.target)&&r.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&&r.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&&!s&&t.preventDefault()}return this.touches.length>0&&!s&&(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||!r.Z.evaluate(this.attr.browserpan)||r.Z.evaluate(this.attr.pan.enabled)&&!r.Z.evaluate(this.attr.pan.needtwofingers)||(_="pan-x pan-y"),this.containerObj.style.touchAction=_,this.triggerEventHandlers(["touchstart","down","pointerdown","MSPointerDown"],[t]),!0)},_handleClicks:function(t,e){var i,s,o=this;if(this.selectingMode)t.stopPropagation();else{if(s=r.Z.evaluate(this.attr.clickdelay),r.Z.evaluate(this.attr.dblclicksuppressclick))this._preventSingleClick=!1,this._singleClickTimer=setTimeout((function(){if(!o._preventSingleClick)for(i in o.triggerEventHandlers(e,[t]),o.clickObjects)o.clickObjects.hasOwnProperty(i)&&(o.clickObjects[i].triggerEventHandlers(e,[t]),delete o.clickObjects[i])}),s);else{for(i in o.triggerEventHandlers(e,[t]),o.clickObjects)o.clickObjects.hasOwnProperty(i)&&o.clickObjects[i].triggerEventHandlers(e,[t]);setTimeout((function(){for(i in o.clickObjects)o.clickObjects.hasOwnProperty(i)&&delete o.clickObjects[i]}),s)}t.stopPropagation()}},_handleDblClicks:function(t,e){var i;if(this.selectingMode)t.stopPropagation();else{for(i in this._preventSingleClick=!0,clearTimeout(this._singleClickTimer),this.triggerEventHandlers(e,[t]),this.clickObjects)this.clickObjects.hasOwnProperty(i)&&(this.clickObjects[i].triggerEventHandlers(e,[t]),delete this.clickObjects[i]);t.stopPropagation()}},pointerClickListener:function(t){this._handleClicks(t,["click","pointerclick"])},pointerDblClickListener:function(t){this._handleDblClicks(t,["dblclick","pointerdblclick"])},mouseClickListener:function(t){this._handleClicks(t,["click","mouseclick"])},mouseDblClickListener:function(t){this._handleDblClicks(t,["dblclick","mousedblclick"])},pointerMoveListener:function(t){var e,i,s,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,s=this.getMousePosition(t),null===r.Z.evaluate(this.attr.movetarget)&&s[0]<=o||s[1]<=o||s[0]>=this.canvasWidth-o||s[1]>=this.canvasHeight-o)return this.mode===this.BOARD_MODE_NONE;if(this.selectingMode)this._moveSelecting(s),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=s[0],n[i].Y=s[1],1===n.length?this.moveObject(s[0],s[1],this.touches[e],t,a):2===n.length&&(this.twoFingerMove(this.touches[e],t.pointerId,t),n[i].Xprev=s[0],n[i].Yprev=s[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(s[0],s[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,s,o,n,a,h=!1;if(this.triggerEventHandlers(["touchend","up","pointerup","MSPointerUp"],[t]),this.displayInfobox(!1),t)for(i=0;i<this.touches.length;i++)for(a=this.touches[i].targets,s=0;s<a.length;s++)if(a[s].num===t.pointerId){a.splice(s,1),0===a.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,s=0;s<this.touches.length;s++)this.touches[s].obj.id===this.downObjects[i].id&&(o=!0);o||(this.downObjects[i].triggerEventHandlers(["touchend","up","pointerup","MSPointerUp"],[t]),r.Z.exists(this.downObjects[i].coords)||(this.downObjects[i].snapToGrid(),this.downObjects[i].snapToPoints(),h=!0),n=this.downObjects[i].eventHandlers,(r.Z.exists(n.click)&&n.click.length>0||r.Z.exists(n.pointerclick)&&n.pointerclick.length>0||r.Z.exists(n.dblclick)&&n.dblclick.length>0||r.Z.exists(n.pointerdblclick)&&n.pointerdblclick.length>0)&&(this.clickObjects[this.downObjects[i].id]=this.downObjects[i]),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(),h&&this.update(),!0},pointerLeaveListener:function(t){return this.displayInfobox(!1),this.dehighlightAll(),!0},touchStartListener:function(s){var o,n,a,h,l,c,d,u,p,f,_=this.options.precision.touch,m=s.touches;for(this.hasTouchEnd||(e.Z.addEvent(this.document,"touchend",this.touchEndListener,this),this.hasTouchEnd=!0),this.document.selection&&r.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<m.length;o++)m[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<m.length;l++)if(Math.abs(Math.pow(m[l].screenX-f[h].X,2)+Math.pow(m[l].screenY-f[h].Y,2))<_*_){f[h].num=l,f[h].X=m[l].screenX,f[h].Y=m[l].screenY,m[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 = "+k.Z.precision.touchMax),f.splice(o,1))}for(o=0;o<m.length;o++)if(!m[o].jxg_isused){if(n=this.getMousePosition(s,o),this.selectingMode)return this._startSelecting(n),this.triggerEventHandlers(["touchstartselecting","startselecting"],[s]),s.preventDefault(),s.stopPropagation(),this.options.precision.hasPoint=this.options.precision.mouse,this.touches.length>0;if(0!==(a=this.initMoveObject(n[0],n[1],s,"touch")).length)if(c=a[a.length-1],p={num:o,X:m[o].screenX,Y:m[o].screenY,Xprev:NaN,Yprev:NaN,Xstart:[],Ystart:[],Zstart:[]},r.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)),m[o].jxg_isused=!0);d||(u=[p],this.saveStartPos(c,u[0]),this.touches.push({obj:c,targets:u}),c.highlight(!0))}m[o].jxg_isused=!0}return this.touches.length>0&&(s.preventDefault(),s.stopPropagation()),1===m.length&&this.mode===this.BOARD_MODE_NONE&&this.touchStartMoveOriginOneFinger(s)||2!==m.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(s)),this.options.precision.hasPoint=this.options.precision.mouse,this.triggerEventHandlers(["touchstart","down"],[s]),!1},touchMoveListener:function(t){var e,i,r,s,o=t.touches;if(!this.checkFrameRate(t))return!1;if(this.mode!==this.BOARD_MODE_NONE&&(t.preventDefault(),t.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(e=0;e<o.length;e++)if(!o[e].jxg_isused){i=this.getMousePosition(t,e),this._moveSelecting(i),this.triggerEventHandlers(["touchmoves","moveselecting"],[t,this.mode]);break}}else if(!this.touchOriginMove(t))if(this.mode===this.BOARD_MODE_DRAG){for(e=0;e<this.touches.length;e++)if(1===(s=this.touches[e].targets).length){if(o[s[0].num]){if((i=this.getMousePosition(t,s[0].num))[0]<0||i[0]>this.canvasWidth||i[1]<0||i[1]>this.canvasHeight)return;s[0].X=i[0],s[0].Y=i[1],this.moveObject(i[0],i[1],this.touches[e],t,"touch")}}else if(2===s.length&&s[0].num>-1&&s[1].num>-1&&o[s[0].num]&&o[s[1].num]){if(i=this.getMousePosition(t,s[0].num),r=this.getMousePosition(t,s[1].num),i[0]<0||i[0]>this.canvasWidth||i[1]<0||i[1]>this.canvasHeight||r[0]<0||r[0]>this.canvasWidth||r[1]<0||r[1]>this.canvasHeight)return;s[0].X=i[0],s[0].Y=i[1],s[1].X=r[0],s[1].Y=r[1],this.twoFingerMove(this.touches[e],s[0].num,t),s[0].Xprev=i[0],s[0].Yprev=i[1],s[1].Xprev=r[0],s[1].Yprev=r[1]}}else 2===o.length&&this.gestureChangeListener(t),i=this.getMousePosition(t,0),this.highlightElements(i[0],i[1],t,-1);return this.mode!==this.BOARD_MODE_DRAG&&this.displayInfobox(!1),this.triggerEventHandlers(["touchmove","move"],[t,this.mode]),this.options.precision.hasPoint=this.options.precision.mouse,this.updateQuality=this.BOARD_QUALITY_HIGH,this.mode===this.BOARD_MODE_NONE},touchEndListener:function(t){var s,o,n,a,h,l,c=this.options.precision.touch,d=[],u=t&&t.touches,p=!1;if(this.triggerEventHandlers(["touchend","up"],[t]),this.displayInfobox(!1),this.selectingMode)this._stopSelecting(t),this.triggerEventHandlers(["touchstopselecting","stopselecting"],[t]),this.stopSelectionMode();else if(u&&u.length>0){for(s=0;s<this.touches.length;s++)d[s]=this.touches[s];for(this.touches.length=0,s=0;s<u.length;s++)u[s].jxg_isused=!1;for(s=0;s<d.length;s++){for(a=!1,h=0,l=d[s].targets,o=0;o<l.length;o++)for(l[o].found=!1,n=0;n<u.length;n++)if(Math.abs(Math.pow(u[n].screenX-l[o].X,2)+Math.pow(u[n].screenY-l[o].Y,2))<c*c){l[o].found=!0,l[o].num=n,l[o].X=u[n].screenX,l[o].Y=u[n].screenY,h+=1;break}if(r.Z.isPoint(d[s].obj)?a=l[0]&&l[0].found:d[s].obj.elementClass===i.Z.OBJECT_CLASS_LINE?a=l[0]&&l[0].found||l[1]&&l[1].found:d[s].obj.elementClass===i.Z.OBJECT_CLASS_CIRCLE&&(a=1===h||3===h),a)for(this.touches.push({obj:d[s].obj,targets:[]}),o=0;o<l.length;o++)l[o].found&&this.touches[this.touches.length-1].targets.push({num:l[o].num,X:l[o].screenX,Y:l[o].screenY,Xprev:NaN,Yprev:NaN,Xstart:l[o].Xstart,Ystart:l[o].Ystart,Zstart:l[o].Zstart});else d[s].obj.noHighlight()}}else this.touches.length=0;for(s=this.downObjects.length-1;s>-1;s--){for(a=!1,o=0;o<this.touches.length;o++)this.touches[o].obj.id===this.downObjects[s].id&&(a=!0);a||(this.downObjects[s].triggerEventHandlers(["touchup","up"],[t]),r.Z.exists(this.downObjects[s].coords)||(this.downObjects[s].snapToGrid(),this.downObjects[s].snapToPoints(),p=!0),this.downObjects.splice(s,1))}return u&&0!==u.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(),p&&this.update()),!0},mouseDownListener:function(t){var i,s,o;if(this.document.selection&&r.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===(s=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=s[s.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&&(r.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){var e,r;return!(this.attr.zoom.enabled&&this.attr.zoom.wheel&&this._isRequiredKeyPressed(t,"zoom"))||(e=(t=t||window.event).detail?-t.detail:t.wheelDelta/40,r="board"===this.attr.zoom.center?[]:new u.Z(i.Z.COORDS_BY_SCREEN,this.getMousePosition(t),this).usrCoords,e>0?this.zoomIn(r[1],r[2]):this.zoomOut(r[1],r[2]),this.triggerEventHandlers(["mousewheel"],[t]),t.preventDefault(),!1)},keyDownListener:function(e){var s,o,n,a,h,l,c=e.target.id,d=0,u=0,p=r.Z.evaluate(this.attr.keyboard.dx)/this.unitX,f=r.Z.evaluate(this.attr.keyboard.dy)/this.unitY,_=!1,m=!0;return!(!this.attr.keyboard.enabled||""===c)&&((!(a=this.containerObj.shadowRoot||document).activeElement||"INPUT"!==(o=a.activeElement).tagName&&"textarea"!==o.tagName)&&(s=c.replace(this.containerObj.id+"_",""),o=this.select(s),r.Z.exists(o.coords)&&(l=o.coords.usrCoords.slice(1)),r.Z.evaluate(this.attr.keyboard.panshift)&&e.shiftKey||r.Z.evaluate(this.attr.keyboard.panctrl)&&e.ctrlKey?(!0===r.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():m=!1):(r.Z.exists(o.visProp)&&(r.Z.exists(o.visProp.snaptogrid)&&o.visProp.snaptogrid&&r.Z.evaluate(o.visProp.snapsizex)&&r.Z.evaluate(o.visProp.snapsizey)?(p=d=(n=o.getSnapSizes())[0],f=u=n[1]):r.Z.exists(o.visProp.attracttogrid)&&o.visProp.attracttogrid&&r.Z.evaluate(o.visProp.attractordistance)&&r.Z.evaluate(o.visProp.attractorunit)&&(u=d=1.1*r.Z.evaluate(o.visProp.attractordistance),"screen"===r.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]:m=!1,h&&o.isDraggable&&o.visPropCalc.visible&&(this.geonextCompatibilityMode&&(r.Z.isPoint(o)||o.elementClass===i.Z.OBJECT_CLASS_TEXT)||!this.geonextCompatibilityMode)&&!r.Z.evaluate(o.visProp.fixed)&&(this.mode=this.BOARD_MODE_DRAG,r.Z.exists(o.coords)&&(h[0]+=l[0],h[1]+=l[1]),r.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(),m&&r.Z.exists(e.preventDefault)&&e.preventDefault(),m))},keyFocusInListener:function(t){var e,i,s=t.target.id;if(!this.attr.keyboard.enabled||""===s)return!1;e=s.replace(this.containerObj.id+"_",""),i=this.select(e),r.Z.exists(i.highlight)&&(i.highlight(!0),this.focusObjects=[e],i.triggerEventHandlers(["hit"],[t])),r.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,s,o,n;t=(i=this.containerObj.getBoundingClientRect()).width,e=i.height,window&&window.getComputedStyle&&(s=window.getComputedStyle(this.containerObj,null),o=parseFloat(s.getPropertyValue("border-left-width"))+parseFloat(s.getPropertyValue("border-right-width")),isNaN(o)||(t-=o),n=parseFloat(s.getPropertyValue("border-top-width"))+parseFloat(s.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"),r.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&&r.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(){r.Z.exists(this.intersectionObserver)&&this.intersectionObserver.unobserve(this.containerObj)},beforeprintListener:function(t){this.updateContainerDims()},initInfobox:function(t){var e=r.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,s,o,n,a,h,l=r.Z.evaluate(t.visProp.showinfobox);return!r.Z.evaluate(this.attr.showinfobox)&&"inherit"===l||!l||r.Z.isPoint(t)&&(s=t.coords.usrCoords[1],o=t.coords.usrCoords[2],a=r.Z.evaluate(this.infobox.visProp.distancex),h=r.Z.evaluate(this.infobox.visProp.distancey),this.infobox.setCoords(s+a/this.unitX,o+h/this.unitY),n=r.Z.evaluate(t.visProp.infoboxdigits),"string"!=typeof t.infoboxText?("auto"===n?this.infobox.useLocale()?(e=this.infobox.formatNumberLocale(s),i=this.infobox.formatNumberLocale(o)):(e=r.Z.autoDigits(s),i=r.Z.autoDigits(o)):r.Z.isNumber(n)?this.infobox.useLocale()?(e=this.infobox.formatNumberLocale(s,n),i=this.infobox.formatNumberLocale(o,n)):(e=r.Z.toFixed(s,n),i=r.Z.toFixed(o,n)):(e=s,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={},r=!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(),r=!0):i[t]=e);return this.highlightedObjects=i,"canvas"===this.renderer.type&&r&&(this.prepareUpdate(),this.renderer.suspendRedraw(this),this.updateRenderer(),this.renderer.unsuspendRedraw()),this},getScrCoordsOfMouse:function(t,e){return[t,e]},getUsrCoordsOfMouse:function(t){var r=this.getCoordsTopLeftCorner(),s=e.Z.getPosition(t,null,this.document),o=s[0]-r[0],n=s[1]-r[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,r,s=this.getCoordsTopLeftCorner(),o=e.Z.getPosition(t,null,this.document),n=o[0]-s[0],a=o[1]-s[1],h=[],l=this.objectsList.length;for(i=0;i<l;i++)(r=this.objectsList[i]).visPropCalc.visible&&r.hasPoint&&r.hasPoint(n,a)&&(h[h.length]=r);return h},updateCoords:function(){var t,e,i=this.objectsList.length;for(e=0;e<i;e++)t=this.objectsList[e],r.Z.exists(t.coords)&&(r.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,s){var o,n,a,h;return r.Z.exists(t)&&r.Z.exists(e)&&(o=this.origin.scrCoords[1],n=this.origin.scrCoords[2],this.origin.scrCoords[1]=t,this.origin.scrCoords[2]=e,s&&(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 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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,s,o,n,a,h,l=[1/0,-1/0,-1/0,1/0];if(!r.Z.isArray(t)||0===t.length)return this;for(e=0;e<t.length;e++)i=this.select(t[e]).bounds(),r.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 r.Z.isArray(l)&&(s=.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([s-h,o+h,s+h,o-h],this.keepaspectratio,"update")),this},setZoom:function(t,e){var i=this.attr.zoom.factorx,r=this.attr.zoom.factory;return this.attr.zoom.factorx=t/this.zoomX,this.attr.zoom.factory=e/this.zoomY,this.zoomIn(),this.attr.zoom.factorx=i,this.attr.zoom.factory=r,this},_removeObj:function(e,s){var o,n;if(r.Z.isArray(e)){for(n=0;n<e.length;n++)this._removeObj(e[n],s);return this}if(e=this.select(e),!r.Z.exists(e)||r.Z.isString(e))return this;try{for(o in 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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,r){var s,n,a,h,l;return n=this.canvasWidth,a=this.canvasHeight,r||(s=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),r?(h=(this.canvasWidth-n)/2,l=(this.canvasHeight-a)/2,this.moveOrigin(this.origin.scrCoords[1]+h,this.origin.scrCoords[2]+l)):this.setBoundingBox(s,this.keepaspectratio,"keep"),this},showDependencies:function(){var t,e,i,r,s;for(t in e="<p>\n",this.objects)if(this.objects.hasOwnProperty(t)){for(i in s=0,this.objects[t].childElements)this.objects[t].childElements.hasOwnProperty(i)&&(s+=1);for(i in s>=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",(r=window.open()).document.open(),r.document.write(e),r.document.close(),this},showXML:function(){var t=window.open("");return t.document.open(),t.document.write("<pre>"+r.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,s;for(t=this.select(t),e=0;e<this.objectsList.length;e++)s=this.objectsList[e],this.needsFullUpdate&&s.elementClass===i.Z.OBJECT_CLASS_TEXT&&s.updateSize(),s.update(!r.Z.exists(t)||s.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,r,s,o=this.objectsList.length,n=this.options.layer,a=this.options.layer.numlayers,h=Number.NEGATIVE_INFINITY;for(i=0;i<a;i++){for(s in r=Number.POSITIVE_INFINITY,n)n.hasOwnProperty(s)&&n[s]>h&&n[s]<r&&(r=n[s]);for(h=r,t=0;t<o;t++)(e=this.objectsList[t]).visProp.layer===r&&e.prepareUpdate().updateRenderer()}return this},addHook:function(e,i,s){return t.Z.deprecated("Board.addHook()","Board.on()"),i=r.Z.def(i,"update"),s=r.Z.def(s,this),this.hooks.push([i,e]),this.on(i,e,s),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]=r.Z.def(i[0],"update"),this.triggerEventHandlers([i[0]],arguments),this},addChild:function(t){return r.Z.exists(t)&&r.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,s,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++)s=this.dependentBoards[e],r.Z.exists(s)&&s!==this&&(s.updateQuality=this.updateQuality,s.prepareUpdate().updateElements().updateConditions(),s.renderer.suspendRedraw(this),s.updateRenderer(),s.renderer.unsuspendRedraw(),s.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,s){var o,n;for(e=e.toLowerCase(),r.Z.exists(i)||(i=[]),r.Z.exists(s)||(s={}),n=0;n<i.length;n++)!r.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||"implicitcurve"===e||(i[n]=this.select(i[n]));if(!r.Z.isFunction(t.Z.elements[e]))throw new Error("JSXGraph: create: Unknown element type given: "+e);return o=t.Z.elements[e](this,i,s),r.Z.exists(o)?(o.prepareUpdate&&o.update&&o.updateRenderer&&o.fullUpdate(),o):(t.Z.debug("JSXGraph: create: failure creating "+e),o)},createElement:function(){return 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r.Z.isArray(t)?(t[0]<this.maxboundingbox[0]||t[1]>this.maxboundingbox[1]||t[2]>this.maxboundingbox[2]||t[3]<this.maxboundingbox[3]||(r.Z.exists(s)||(s="reset"),h=this.unitX,l=this.unitY,this.canvasWidth=parseFloat(b.width),this.canvasHeight=parseFloat(b.height),a=this.canvasWidth,n=this.canvasHeight,i?(c=this.keepaspectratio?h/l:1,"keep"===s&&(g=this.zoomX/this.zoomY),p=h*(d=t[2]-t[0]),f=l*(u=t[1]-t[3]),a>=n?p>=f?(this.unitY=n/u,this.unitX=this.unitY*c):(this.unitY=n/Math.abs(d)*o.Z.sign(u)/g,this.unitX=this.unitY*c):f>p?(this.unitX=a/d,this.unitY=this.unitX/c):(this.unitX=a/Math.abs(u)*o.Z.sign(d)*g,this.unitY=this.unitX/c),_=.5*(a/this.unitX-d),m=.5*(n/this.unitY-u),this.keepaspectratio=!0):(this.unitX=a/(t[2]-t[0]),this.unitY=n/(t[1]-t[3]),this.keepaspectratio=!1),this.moveOrigin(-this.unitX*(t[0]-_),this.unitY*(t[1]+m)),"update"===s?(this.zoomX*=this.unitX/h,this.zoomY*=this.unitY/l):"reset"===s&&(this.zoomX=r.Z.exists(this.attr.zoomx)?this.attr.zoomx:1,this.zoomY=r.Z.exists(this.attr.zoomy)?this.attr.zoomy:1)),this):this},getBoundingBox:function(){var 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10.00,3.31")):5===s?(h=3.28,n.setAttributeNS(null,"d","M 10.00,3.28 C 6.61,4.19 3.19,5.07 0.00,6.55 C 0.62,5.56 1.00,4.44 1.00,3.28 C 1.00,2.11 0.62,0.99 0.00,0.00 C 3.19,1.49 6.61,2.37 10.00,3.28")):6===s?(h=2.84,n.setAttributeNS(null,"d","M 10.00,2.84 C 6.61,3.59 3.21,4.35 0.00,5.68 C 0.33,4.73 0.67,3.78 1.00,2.84 C 0.67,1.89 0.33,0.95 0.00,0.00 C 3.21,1.33 6.61,2.09 10.00,2.84")):7===s?(h=5.2,n.setAttributeNS(null,"d","M 10.00,5.20 C 5.96,5.20 2.01,6.92 0.00,10.39 M 0.00,0.00 C 2.01,3.47 5.96,5.20 10.00,5.20")):n.setAttributeNS(null,"d","M 0,0 L 10,5 L 0,10 z"),t.elementClass===i.Z.OBJECT_CLASS_LINE&&(a=2===s?5.1:3===s?.02:4===s||5===s||6===s?3.33:7===s?10:.05)),7===s&&(o.setAttributeNS(null,"fill","none"),o.setAttributeNS(null,"stroke-width",1)),o.setAttributeNS(null,"refY",h),o.setAttributeNS(null,"refX",a),o.appendChild(n),o},_setArrowColor:function(t,e,i,s,o){t&&(r.Z.isString(e)&&(7!==o?this._setAttribute((function(){t.setAttributeNS(null,"stroke",e),t.setAttributeNS(null,"fill",e),t.setAttributeNS(null,"stroke-opacity",i),t.setAttributeNS(null,"fill-opacity",i)}),s.visPropOld.fillcolor):this._setAttribute((function(){t.setAttributeNS(null,"fill","none"),t.setAttributeNS(null,"stroke",e),t.setAttributeNS(null,"stroke-opacity",i)}),s.visPropOld.fillcolor)),this.isIE&&s.rendNode.parentNode.insertBefore(s.rendNode,s.rendNode))},_setArrowWidth:function(t,e,i,r){var s,o;t&&(o=(s=e)*r,t.setAttributeNS(null,"viewBox","0 0 "+10*s+" "+10*s),t.setAttributeNS(null,"markerHeight",o),t.setAttributeNS(null,"markerWidth",o),t.setAttributeNS(null,"display","inherit"),this.isIE&&i.parentNode.insertBefore(i,i))},updateTicks:function(t){var e,i,s,o,n,a,h,l,c="",d=t.ticks.length,u=!0;for(e=0;e<d;e++){for(n=(s=t.ticks[e])[0],a=s[1],h=n.length,l=" M "+n[0]+" "+a[0],r.Z.isNumber(n[0])||(u=!1),i=1;u&&i<h;++i)r.Z.isNumber(n[i])?l+=" L "+n[i]+" "+a[i]:u=!1;u&&(c+=l)}o=t.rendNode,r.Z.exists(o)||(o=this.createPrim("path",t.id),this.appendChildPrim(o,r.Z.evaluate(t.visProp.layer)),t.rendNode=o),o.setAttributeNS(null,"stroke",r.Z.evaluate(t.visProp.strokecolor)),o.setAttributeNS(null,"fill","none"),o.setAttributeNS(null,"stroke-opacity",r.Z.evaluate(t.visProp.strokeopacity)),o.setAttributeNS(null,"stroke-width",r.Z.evaluate(t.visProp.strokewidth)),this.updatePathPrim(o,c,t.board),this.setObjectViewport(t)},displayCopyright:function(t,e){var i,r=this.createPrim("text","licenseText");r.setAttributeNS(null,"x","20px"),r.setAttributeNS(null,"y",2+e+"px"),r.setAttributeNS(null,"style","font-family:Arial,Helvetica,sans-serif; font-size:"+e+"px; fill:#356AA0;  opacity:0.3;"),i=this.container.ownerDocument.createTextNode(t),r.appendChild(i),this.appendChildPrim(r,0)},drawInternalText:function(t){var e=this.createPrim("text",t.id);return e.style.whiteSpace="nowrap",t.rendNodeText=this.container.ownerDocument.createTextNode(""),e.appendChild(t.rendNodeText),this.appendChildPrim(e,r.Z.evaluate(t.visProp.layer)),e},updateInternalText:function(t){var e,i=t.plaintext,s=t.getAnchorX(),o=t.getAnchorY();t.rendNode.getAttributeNS(null,"class")!==t.visProp.cssclass&&(t.rendNode.setAttributeNS(null,"class",r.Z.evaluate(t.visProp.cssclass)),t.needsSizeUpdate=!0),isNaN(t.coords.scrCoords[1]+t.coords.scrCoords[2])||(e=t.coords.scrCoords[1],t.visPropOld.left!==s+e&&(t.rendNode.setAttributeNS(null,"x",e+"px"),"left"===s?t.rendNode.setAttributeNS(null,"text-anchor","start"):"right"===s?t.rendNode.setAttributeNS(null,"text-anchor","end"):"middle"===s&&t.rendNode.setAttributeNS(null,"text-anchor","middle"),t.visPropOld.left=s+e),e=t.coords.scrCoords[2],t.visPropOld.top!==o+e&&(t.rendNode.setAttributeNS(null,"y",e+.5*this.vOffsetText+"px"),"bottom"===o?(t.rendNode.setAttributeNS(null,"dy","0"),t.rendNode.setAttributeNS(null,"dominant-baseline","auto")):"top"===o?(t.rendNode.setAttributeNS(null,"dy","1.6ex"),t.rendNode.setAttributeNS(null,"dominant-baseline","auto")):"middle"===o&&(t.rendNode.setAttributeNS(null,"dy","0.6ex"),t.rendNode.setAttributeNS(null,"dominant-baseline","auto")),t.visPropOld.top=o+e)),t.htmlStr!==i&&(t.rendNodeText.data=i,t.htmlStr=i),this.transformImage(t,t.transformations)},updateInternalTextStyle:function(t,e,i,r){this.setObjectViewport(t),this.setObjectFillColor(t,e,i)},drawImage:function(t){var e=this.createPrim("image",t.id);e.setAttributeNS(null,"preserveAspectRatio","none"),this.appendChildPrim(e,r.Z.evaluate(t.visProp.layer)),t.rendNode=e,this.updateImage(t)},transformImage:function(t,e){var s,o,n,a,h=t.rendNode,l="";if(e.length>0&&-1===(s=[(o=this.joinTransforms(t,e))[1][1],o[2][1],o[1][2],o[2][2],o[1][0],o[2][0]].join(",")).indexOf("NaN"))if(l+=" matrix("+s+") ",t.elementClass===i.Z.OBJECT_CLASS_TEXT&&"html"===t.visProp.display){switch(h.style.transform=l,n=-t.coords.scrCoords[1],a=-t.coords.scrCoords[2],r.Z.evaluate(t.visProp.anchorx)){case"right":n+=t.size[0];break;case"middle":n+=.5*t.size[0]}switch(r.Z.evaluate(t.visProp.anchory)){case"bottom":a+=t.size[1];break;case"middle":a+=.5*t.size[1]}h.style["transform-origin"]=n+"px "+a+"px"}else h.setAttributeNS(null,"transform",l)},updateImageURL:function(t){var e=r.Z.evaluate(t.url);return t._src!==e&&(t.imgIsLoaded=!1,t.rendNode.setAttributeNS(this.xlinkNamespace,"xlink:href",e),t._src=e,!0)},updateImageStyle:function(t,e){var i=r.Z.evaluate(e?t.visProp.highlightcssclass:t.visProp.cssclass);t.rendNode.setAttributeNS(null,"class",i)},drawForeignObject:function(t){t.rendNode=this.appendChildPrim(this.createPrim("foreignObject",t.id),r.Z.evaluate(t.visProp.layer)),this.appendNodesToElement(t,"foreignObject"),this.updateForeignObject(t)},updateForeignObject:function(t){t._useUserSize?t.rendNode.style.overflow="hidden":t.rendNode.style.overflow="visible",this.updateRectPrim(t.rendNode,t.coords.scrCoords[1],t.coords.scrCoords[2]-t.size[1],t.size[0],t.size[1]),t.rendNode.innerHTML=t.content,this._updateVisual(t,{stroke:!0,dash:!0},!0)},appendChildPrim:function(t,e){return r.Z.exists(e)?e>=k.Z.layer.numlayers&&(e=k.Z.layer.numlayers-1):e=0,this.layer[e].appendChild(t),t},createPrim:function(t,e){var i=this.container.ownerDocument.createElementNS(this.svgNamespace,t);return 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i;t&&t.rendNode&&(t.visPropOld.visible=e,i=t.rendNode,e?(i.setAttributeNS(null,"display","inline"),i.style.visibility="inherit"):(i.setAttributeNS(null,"display","none"),i.style.visibility="hidden"))},show:function(e){t.Z.deprecated("Board.renderer.show()","Board.renderer.display()"),this.display(e,!0)},hide:function(e){t.Z.deprecated("Board.renderer.hide()","Board.renderer.display()"),this.display(e,!1)},setBuffering:function(t,e){t.rendNode.setAttribute("buffered-rendering",e)},setDashStyle:function(t){var e=r.Z.evaluate(t.visProp.dash),i=r.Z.evaluate(t.visProp.dashscale)?.5*r.Z.evaluate(t.visProp.strokewidth):1,s=t.rendNode;e>0?s.setAttributeNS(null,"stroke-dasharray",this.dashArray[e-1].map((function(t){return t*i})).join(",")):s.hasAttributeNS(null,"stroke-dasharray")&&s.removeAttributeNS(null,"stroke-dasharray")},setGradient:function(t){var e,i,s,o=t.rendNode,n=r.Z.evaluate(t.visProp.gradient);"linear"===n||"radial"===n?(e=this.createPrim(n+"Gradient",t.id+"_gradient"),i=this.createPrim("stop",t.id+"_gradient1"),s=this.createPrim("stop",t.id+"_gradient2"),e.appendChild(i),e.appendChild(s),this.defs.appendChild(e),o.setAttributeNS(null,"style","fill:"+this.toURL(this.container.id+"_"+t.id+"_gradient")),t.gradNode1=i,t.gradNode2=s,t.gradNode=e):o.removeAttributeNS(null,"style")},updateGradientAngle:function(t,e){var 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z=t.Z.Util;t.Z.CanvasRenderer=function(i,r){if(this.type="canvas",this.canvasRoot=null,this.suspendHandle=null,this.canvasId=z.genUUID(),this.canvasNamespace=null,e.Z.isBrowser)this.container=i,this.container.style.MozUserSelect="none",this.container.style.userSelect="none",this.container.style.overflow="hidden",""===this.container.style.position&&(this.container.style.position="relative"),this.container.innerHTML=['<canvas id="',this.canvasId,'" width="',r.width,'px" height="',r.height,'px"></canvas>'].join(""),this.canvasRoot=this.container.ownerDocument.getElementById(this.canvasId),this.canvasRoot.style.display="block",this.context=this.canvasRoot.getContext("2d");else if(e.Z.isNode())try{this.canvasRoot=t.Z.createCanvas(500,500),this.context=this.canvasRoot.getContext("2d")}catch(t){throw new Error('JXG.createCanvas not available.\nInstall the npm package `canvas`\nand call:\n    import { createCanvas } from "canvas.js";\n    JXG.createCanvas = 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H.Z,t.Z.extend(t.Z.Line.prototype,{hasPoint:function(t,e){var s,n,a,l,c,d,p,f,_,m=[],g=[1,t,e],b=r.Z.evaluate(this.visProp.strokewidth);return r.Z.isObject(r.Z.evaluate(this.visProp.precision))?(_=this.board._inputDevice,f=r.Z.evaluate(this.visProp.precision[_])):f=this.board.options.precision.hasPoint,f+=.5*b,m[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,m[1]=this.stdform[1]/this.board.unitX,m[2]=this.stdform[2]/-this.board.unitY,s=h.Z.distPointLine(g,m),!(isNaN(s)||s>f)&&(!(!r.Z.evaluate(this.visProp.straightfirst)||!r.Z.evaluate(this.visProp.straightlast))||(a=this.point1.coords,l=this.point2.coords,n=[0,m[1],m[2]],n=o.Z.crossProduct(n,g),(n=o.Z.crossProduct(n,m))[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),!(!r.Z.evaluate(this.visProp.straightfirst)&&d<0)&&!(!r.Z.evaluate(this.visProp.straightlast)&&d>1)))},update:function(){var t;return this.needsUpdate?(this.constrained&&(r.Z.isFunction(this.funps)?(t=this.funps())&&t.length&&2===t.length&&(this.point1=t[0],this.point2=t[1]):(r.Z.isFunction(this.funp1)&&(t=this.funp1(),r.Z.isPoint(t)?this.point1=t:t&&t.length&&2===t.length&&this.point1.setPositionDirectly(i.Z.COORDS_BY_USER,t)),r.Z.isFunction(this.funp2)&&(t=this.funp2(),r.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(),r.Z.evaluate(this.visProp.trace)&&this.cloneToBackground(!0),this):this},updateSegmentFixedLength:function(){var t,e,s,n,a,h,l,c;return this.hasFixedLength?(t=this.point1.Dist(this.point2),e=Math.abs(this.fixedLength()),s=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),(s>o.Z.eps||n>o.Z.eps||t!==e)&&(a=this.point1.isDraggable&&this.point1.type!==i.Z.OBJECT_TYPE_GLIDER&&!r.Z.evaluate(this.point1.visProp.fixed),h=this.point2.isDraggable&&this.point2.type!==i.Z.OBJECT_TYPE_GLIDER&&!r.Z.evaluate(this.point2.visProp.fixed),t>o.Z.eps?s>n&&h||s<=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()):(s<=n&&a||s>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,r=this.point2.symbolic.x,s=this.point2.symbolic.y,o=t.symbolic.x,n=t.symbolic.y;return[["(",i,")*(",o,")-(",i,")*(",r,")+(",n,")*(",r,")-(",e,")*(",n,")+(",e,")*(",s,")-(",o,")*(",s,")"].join("")]},getRise:function(){return Math.abs(this.stdform[2])>=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])},Direction:function(){var t=this.point1.coords.usrCoords,e=this.point2.coords.usrCoords;return 0===e[0]&&0!==t[0]?e.slice(1):0===t[0]&&0!==e[0]?[-t[1],-t[2]]:[e[1]-t[1],e[2]-t[2]]},isVertical:function(){var t=this.Direction();return 0===t[0]&&0!==t[1]},isHorizontal:function(){var t=this.Direction();return 0===t[1]&&0!==t[0]},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){r.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,s,n,a,l,c,d,p=1.5,f=0,_=new u.Z(i.Z.COORDS_BY_USER,this.point1.coords.usrCoords,this.board),m=new u.Z(i.Z.COORDS_BY_USER,this.point2.coords.usrCoords,this.board),g=r.Z.evaluate(this.visProp.straightfirst),b=r.Z.evaluate(this.visProp.straightlast);if((g||b)&&h.Z.calcStraight(this,_,m,0),_=_.scrCoords,m=m.scrCoords,!r.Z.exists(this.label))return new u.Z(i.Z.COORDS_BY_SCREEN,[NaN,NaN],this.board);if(s=r.Z.evaluate(this.label.visProp.position),!r.Z.isString(s))return new u.Z(i.Z.COORDS_BY_SCREEN,[NaN,NaN],this.board);if(s.indexOf("right")<0&&s.indexOf("left")<0)switch(s){case"last":t=m[1],e=m[2];break;case"first":t=_[1],e=_[2];break;case"lft":case"llft":case"ulft":_[1]<=m[1]?(t=_[1],e=_[2]):(t=m[1],e=m[2]);break;case"rt":case"lrt":case"urt":_[1]>m[1]?(t=_[1],e=_[2]):(t=m[1],e=m[2]);break;default:t=.5*(_[1]+m[1]),e=.5*(_[2]+m[2])}else n=r.Z.parsePosition(s),a=r.Z.parseNumber(n.pos,1,1),l=m[1]-_[1],c=m[2]-_[2],d=o.Z.hypot(l,c),n.pos.indexOf("px")>=0||n.pos.indexOf("fr")>=0||n.pos.indexOf("%")>=0?(n.pos.indexOf("px")>=0&&(a/=d),t=_[1]+a*l,e=_[2]+a*c):(t=_[1]+a*this.board.unitX*l/d,e=_[2]+a*this.board.unitY*c/d),"left"===n.side?l*=-1:c*=-1,r.Z.exists(this.label)&&(p=.5*r.Z.evaluate(this.label.visProp.distance)/d),t+=c*this.label.size[0]*p,e+=l*this.label.size[1]*p;return(g||b)&&(r.Z.exists(this.label)&&(f=r.Z.evaluate(this.label.visProp.fontsize)),Math.abs(t)<o.Z.eps?t=f:this.board.canvasWidth+o.Z.eps>t&&t>this.board.canvasWidth-f-o.Z.eps&&(t=this.board.canvasWidth-f),o.Z.eps+f>e&&e>-o.Z.eps?e=f:this.board.canvasHeight+o.Z.eps>e&&e>this.board.canvasHeight-f-o.Z.eps&&(e=this.board.canvasHeight-f)),new u.Z(i.Z.COORDS_BY_SCREEN,[t,e],this.board)},cloneToBackground:function(){var t,e,s,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=r.Z.deepCopy(this.visProp,this.visProp.traceattributes,!0),o.visProp.layer=this.board.options.layer.trace,r.Z.clearVisPropOld(o),o.visPropCalc={visible:r.Z.evaluate(o.visProp.visible)},e=this.getSlope(),t=this.getRise(),o.getSlope=function(){return e},o.getRise=function(){return t},s=this.board.renderer.enhancedRendering,this.board.renderer.enhancedRendering=!0,this.board.renderer.drawLine(o),this.board.renderer.enhancedRendering=s,this.traces[o.id]=o.rendNode,this},addTransform:function(t){var e,i=r.Z.isArray(t)?t:[t],s=i.length;for(e=0;e<s;e++)this.point1.transformations.push(i[e]),this.point2.transformations.push(i[e]);return this},snapToGrid:function(t){var e,s,o,n,a,l,c,d;return r.Z.evaluate(this.visProp.snaptogrid)?this.parents.length<3?(this.point1.handleSnapToGrid(!0,!0),this.point2.handleSnapToGrid(!0,!0)):r.Z.exists(t)&&(c=r.Z.evaluate(this.visProp.snapsizex),d=r.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*(r.Z.evaluate(n.visProp.minorticks)+1)),d<=0&&this.board.defaultAxes&&this.board.defaultAxes.y.defaultTicks&&(d=(n=this.board.defaultAxes.y.defaultTicks).ticksDelta*(r.Z.evaluate(n.visProp.minorticks)+1)),c>0&&d>0&&(s=h.Z.projectPointToLine({coords:e},this,this.board),o=p.Z.subtract([1,Math.round(a/c)*c,Math.round(l/d)*d],s.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=r.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=r.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(),H.Z.prototype.remove.call(this)}}),t.Z.createLine=function(e,i,s){var o,n,a,h,l,c,d,u=[],p=!1,f=!1;if(2===i.length){if(c=r.Z.copyAttributes(s,e.options,"line","point1"),r.Z.isArray(i[0])&&i[0].length>1)a=e.create("point",i[0],c);else if(r.Z.isString(i[0])||r.Z.isPoint(i[0]))a=e.select(i[0]);else if(r.Z.isFunction(i[0])&&r.Z.isPoint(i[0]()))a=i[0](),f=!0;else if(r.Z.isFunction(i[0])&&i[0]().length&&i[0]().length>=2)a=t.Z.createPoint(e,i[0](),c),f=!0;else{if(!r.Z.isObject(i[0])||!r.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=r.Z.copyAttributes(s,e.options,"line","point2"),p)h=e.create("point",[i[0].point2,i[1]],c);else if(r.Z.isArray(i[1])&&i[1].length>1)h=e.create("point",i[1],c);else if(r.Z.isString(i[1])||r.Z.isPoint(i[1]))h=e.select(i[1]);else if(r.Z.isFunction(i[1])&&r.Z.isPoint(i[1]()))h=i[1](),f=!0;else{if(!(r.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=r.Z.copyAttributes(s,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(r.Z.isNumber(i[l]))u[l]=r.Z.createFunction(i[l]);else{if(!r.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=r.Z.copyAttributes(s,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=r.Z.copyAttributes(s,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=r.Z.copyAttributes(s,e.options,"line"),(n=new t.Z.Line(e,a,h,c)).isDraggable=d,n.setParents([a,h])}else if(1===i.length&&r.Z.isFunction(i[0])&&2===i[0]().length&&r.Z.isPoint(i[0]()[0])&&r.Z.isPoint(i[0]()[1]))o=i[0](),c=r.Z.copyAttributes(s,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&&r.Z.isFunction(i[0])&&3===i[0]().length&&r.Z.isNumber(i[0]()[0])&&r.Z.isNumber(i[0]()[1])&&r.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=r.Z.copyAttributes(s,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=r.Z.copyAttributes(s,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=r.Z.copyAttributes(s,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,s){var o,n;if(s.straightFirst=!1,s.straightLast=!1,n=r.Z.copyAttributes(s,t.options,"segment"),o=t.create("line",e.slice(0,2),n),3===e.length){if(o.hasFixedLength=!0,r.Z.isNumber(e[2]))o.fixedLength=function(){return e[2]};else{if(!r.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=r.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,s){var o,n;return s.straightFirst=!1,s.straightLast=!1,n=r.Z.copyAttributes(s,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(e,s,o){var n,a,h,l;a=r.Z.copyAttributes(o,e.options,"axis");try{n=e.create("line",s,a)}catch(t){throw new Error("JSXGraph: Can't create axis with parent types '"+typeof s[0]+"' and '"+typeof s[1]+"'.\nPossible parent types: [point,point], [[x1,y1],[x2,y2]]")}for(h in n.type=i.Z.OBJECT_TYPE_AXIS,n.isDraggable=!1,n.point1.isDraggable=!1,n.point2.isDraggable=!1,n._point1UsrCoordsOrg=n.point1.coords.usrCoords.slice(),n._point2UsrCoordsOrg=n.point2.coords.usrCoords.slice(),n.ancestors)n.ancestors.hasOwnProperty(h)&&(n.ancestors[h].type=i.Z.OBJECT_TYPE_AXISPOINT);return l=r.Z.exists(a.ticks.ticksdistance)?a.ticks.ticksdistance:r.Z.isArray(a.ticks.ticks)?a.ticks.ticks:1,n.defaultTicks=e.create("ticks",[n,l],a.ticks),n.defaultTicks.dump=!1,n.elType="axis",n.subs={ticks:n.defaultTicks},n.inherits.push(n.defaultTicks),n.update=function(){var e,i,s,o,a,h,l,c,d,u,p,f,_,m,g,b,v,Z,C;if(e=this.board.getBoundingBox(),i=r.Z.evaluate(this.visProp.position),o=this.Direction(),a=this.isHorizontal(),h=this.isVertical(),l=r.Z.evaluate(this.visProp.ticksautopos),c=r.Z.evaluate(this.visProp.ticksautoposthreshold),c=a?r.Z.parseNumber(c,Math.abs(e[1]-e[3]),1/this.board.unitX)*this.board.unitX:h?r.Z.parseNumber(c,Math.abs(e[1]-e[3]),1/this.board.unitY)*this.board.unitY:r.Z.parseNumber(c,1,1),p=(u=r.Z.evaluate(this.visProp.anchor)).indexOf("left")>-1,f=u.indexOf("right")>-1,_=r.Z.evaluate(this.visProp.anchordist),_=a?r.Z.parseNumber(_,Math.abs(e[1]-e[3]),1/this.board.unitX):h?r.Z.parseNumber(_,Math.abs(e[0]-e[2]),1/this.board.unitY):0,b=this.board.getPointLoc(this._point1UsrCoordsOrg,_),m=this.point1.coords.usrCoords.slice(),g=this.point2.coords.usrCoords.slice(),"static"===i||!h&&!a||("fixed"===i?(a&&(o[0]>0&&f||o[0]<0&&p?(m[2]=e[3]+_,g[2]=e[3]+_):o[0]>0&&p||o[0]<0&&f?(m[2]=e[1]-_,g[2]=e[1]-_):(m=this._point1UsrCoordsOrg.slice(),g=this._point2UsrCoordsOrg.slice())),h&&(o[1]>0&&p||o[1]<0&&f?(m[1]=e[0]+_,g[1]=e[0]+_):o[1]>0&&f||o[1]<0&&p?(m[1]=e[2]-_,g[1]=e[2]-_):(m=this._point1UsrCoordsOrg.slice(),g=this._point2UsrCoordsOrg.slice()))):"sticky"===i&&(a&&(b[1]<0&&(o[0]>0&&f||o[0]<0&&p)?(m[2]=e[3]+_,g[2]=e[3]+_):b[1]>0&&(o[0]>0&&p||o[0]<0&&f)?(m[2]=e[1]-_,g[2]=e[1]-_):(m=this._point1UsrCoordsOrg.slice(),g=this._point2UsrCoordsOrg.slice())),h&&(b[0]<0&&(o[1]>0&&p||o[1]<0&&f)?(m[1]=e[0]+_,g[1]=e[0]+_):b[0]>0&&(o[1]>0&&f||o[1]<0&&p)?(m[1]=e[2]-_,g[1]=e[2]-_):(m=this._point1UsrCoordsOrg.slice(),g=this._point2UsrCoordsOrg.slice())))),this.point1.setPositionDirectly(t.Z.COORDS_BY_USER,m),this.point2.setPositionDirectly(t.Z.COORDS_BY_USER,g),v=this.defaultTicks.visProp.label,l&&(a||h)){if(r.Z.exists(v._anchorx_org)||(v._anchorx_org=r.Z.def(v.anchorx,this.board.options.text.anchorX)),r.Z.exists(v._anchory_org)||(v._anchory_org=r.Z.def(v.anchory,this.board.options.text.anchorY)),r.Z.exists(v._offset_org)||(v._offset_org=v.offset.slice()),C=v.offset,a){for(d=n.point1.coords.scrCoords[2]-.5*this.board.canvasHeight,Z=v.anchory,d<0&&Math.abs(d)>c?"bottom"===v._side&&("top"===v.anchory&&(Z="bottom"),C[1]*=-1,v._side="top"):d>0&&Math.abs(d)>c?"top"===v._side&&("bottom"===v.anchory&&(Z="top"),C[1]*=-1,v._side="bottom"):(Z=v._anchory_org,C=v._offset_org.slice(),"top"===Z?v._side="bottom":"bottom"===Z?v._side="top":C[1]<0?v._side="bottom":v._side="top"),s=0;s<n.defaultTicks.labels.length;s++)this.defaultTicks.labels[s].visProp.anchory=Z;v.anchory=Z}else if(h){for((d=n.point1.coords.scrCoords[1]-.5*this.board.canvasWidth)<0&&Math.abs(d)>c?"right"===v._side&&("left"===v.anchorx&&(Z="right"),C[0]*=-1,v._side="left"):d>0&&Math.abs(d)>c?"left"===v._side&&("right"===v.anchorx&&(Z="left"),C[0]*=-1,v._side="right"):(Z=v._anchorx_org,C=v._offset_org.slice(),"left"===Z?v._side="right":"right"===Z||C[0]<0?v._side="left":v._side="right"),s=0;s<n.defaultTicks.labels.length;s++)this.defaultTicks.labels[s].visProp.anchorx=Z;v.anchorx=Z}v.offset=C}else delete v._anchorx_org,delete v._anchory_org,delete v._offset_org;return t.Z.Line.prototype.update.call(this),this.defaultTicks.needsUpdate=!0,this},n},t.Z.registerElement("axis",t.Z.createAxis),t.Z.createTangent=function(t,e,s){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(r.Z.isPoint(e[0]))n=e[0],a=e[1];else{if(!r.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=r.Z.copyAttributes(s,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"!==r.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 r,s,a,h,l,c,d,u,p,f,_,m,g=Math.floor(t);if(1===e.bezierDegree)g===e.numberPoints-1&&g--;else{if(3!==e.bezierDegree)return 0;a=(t*((m="sector"===e.elType?(_=e.points.slice(3,e.numberPoints-3)).length:(_=e.points).length)-1)-(g=3*Math.floor(t*(m-1)/3)))/3,g>=m-1&&(g=m-4,a=1)}if(g<0)return 1;switch(1===e.bezierDegree?(r=e.points[g].usrCoords,s=e.points[g+1].usrCoords):(h=_[g].usrCoords,l=_[g+1].usrCoords,c=_[g+2].usrCoords,d=_[g+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,s=[1,(r=n.coords.usrCoords)[1]+u,r[2]+p]),i){case 0:return r[2]*s[1]-r[1]*s[2];case 1:return s[2]-r[2];case 2:return r[1]-s[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),!r.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,r){var s,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]),(s=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]])}],r)).elType="radicalaxis",s.setParents([n.id,a.id]),n.addChild(s),a.addChild(s),s},t.Z.createPolarLine=function(t,e,s){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=r.Z.isPoint(e[0]),d=r.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],s)).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,s,o,n){var a,h,l,c;for(this.board=t,this.objects={},a=this.board.numObjects,this.board.numObjects+=1,""!==e&&r.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,""!==s&&r.Z.exists(s)?this.name=s: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=r.Z.isArray(o)?o:Array.prototype.slice.call(arguments,3),l=0;l<h.length;l++)c=this.board.select(h[l]),!r.Z.evaluate(c.visProp.fixed)&&r.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,r.Z.isArray(e.groups)&&(i=r.Z.indexOf(e.groups,this.id))>=0&&delete e.groups[i]);return this.objects={},this},addParents:function(t){var e,i,s;for(i=(s=r.Z.isArray(t)?t:arguments).length,e=0;e<i;++e)r.Z.isId(this.board,s[e])?this.parents.push(s[e]):r.Z.exists(s[e].id)&&this.parents.push(s[e].id);this.parents=r.Z.uniqueArray(this.parents)},setParents:function(t){return this.parents=[],this.addParents(t),this},getParents:function(){return r.Z.isArray(this.parents)?this.parents:[]},_updateCoordsCache:function(t){var e;""!==t&&r.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,s,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",r.Z.isPoint(this[i]))u=this[i].coords.usrCoords.slice(1);else if("centroid"===this[i])u=this._update_centroid_center();else if(r.Z.isArray(this[i]))u=this[i];else{if(!r.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(s in this.objects[e].descendants)this.objects[e].descendants.hasOwnProperty(s)&&(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,s,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}:(s=a[0],e=this.objects[s].point,a.length>1?n="translation":r.Z.isInArray(this.rotationPoints,e)&&r.Z.exists(this.rotationCenter)?n="rotation":r.Z.isInArray(this.scalePoints,e)&&r.Z.exists(this.scaleCenter)?n="scaling":r.Z.isInArray(this.translationPoints,e)&&(n="translation"),{action:n,id:s,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 s,n;for(s in this.objects)this.objects.hasOwnProperty(s)&&(r.Z.exists(this.board.objects[s])?(n=this.objects[s].point).id!==t.id?"translation"===t.action?r.Z.isInArray(t.changed,n.id)||n.coords.setCoordinates(i.Z.COORDS_BY_USER,[this.coords[s].usrCoords[1]+e[0],this.coords[s].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[s])},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=r.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,s,o;for(o=(i=r.Z.isArray(t)?t:arguments).length,s=0;s<o;++s)this.scaleDirections[this.board.select(i[s]).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,s,o;for(o=(i=r.Z.isArray(e)?e:arguments).length,this[t+"Points"]=[],s=0;s<o;++s)this._addActionPoint(t,i[s]);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,s){var o=r.Z.copyAttributes(s,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,s,o,n){this.constructor(t,n,i.Z.OBJECT_TYPE_CIRCLE,i.Z.OBJECT_CLASS_CIRCLE),this.method=e,this.midpoint=this.board.select(s),this.center=this.board.select(s),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=r.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(),r.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&&(r.Z.exists(this.point2._is_new)?(this.addChild(this.point2),delete this.point2._is_new):this.point2.addChild(this)),this.methodMap=r.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 H.Z,t.Z.extend(t.Z.Circle.prototype,{hasPoint:function(t,e){var s,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 r.Z.isObject(r.Z.evaluate(this.visProp.precision))?(n=this.board._inputDevice,s=r.Z.evaluate(this.visProp.precision[n])):s=this.board.options.precision.hasPoint,a=c[1]-d.usrCoords[1],h=c[2]-d.usrCoords[2],l=o.Z.hypot(a,h),s+=.5*r.Z.evaluate(this.visProp.strokewidth),s/=Math.sqrt(Math.abs(this.board.unitX*this.board.unitY)),r.Z.evaluate(this.visProp.hasinnerpoints)?l<p+s:Math.abs(l-p)<s},generatePolynomial:function(t){var e=this.center.symbolic.x,i=this.center.symbolic.y,r=t.symbolic.x,s=t.symbolic.y,o=this.generateRadiusSquared();return""===o?[]:["(("+r+")-("+e+"))^2 + (("+s+")-("+i+"))^2 - ("+o+")"]},generateRadiusSquared:function(){var t,e,i,s,o="";return"twoPoints"===this.method?(t=this.center.symbolic.x,e=this.center.symbolic.y,o="(("+(i=this.point2.symbolic.x)+")-("+t+"))^2 + (("+(s=this.point2.symbolic.y)+")-("+e+"))^2"):"pointRadius"===this.method?r.Z.isNumber(this.radius)&&(o=(this.radius*this.radius).toString()):"pointLine"===this.method?(i=this.line.point1.symbolic.x,s=this.line.point1.symbolic.y,o="(("+i+")-("+this.line.point2.symbolic.x+"))^2 + (("+s+")-("+this.line.point2.symbolic.y+"))^2"):"pointCircle"===this.method&&(o=this.circle.Radius()),o},update:function(){var t,e,s,o,n,a;if(this.needsUpdate)for(r.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(),s=this.center.coords.usrCoords[0],t=this.center.coords.usrCoords[1]/s,e=this.center.coords.usrCoords[2]/s,s/=s,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(),r=this.Radius();this.quadraticform=[[e*e+i*i-r*r,-e,-i],[-e,1,0],[-i,0,1]]},updateStdform:function(){this.stdform[3]=.5,this.stdform[4]=this.Radius(),this.stdform[1]=-this.center.coords.usrCoords[1],this.stdform[2]=-this.center.coords.usrCoords[2],isFinite(this.stdform[4])||(this.stdform[0]=r.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){r.Z.isString(t)&&B.Z.findDependencies(this,t,this.board)},setRadius:function(t){return this.updateRadius=r.Z.createFunction(t,this.board),this.addParentsFromJCFunctions([this.updateRadius]),this.board.update(),this},Radius:function(t){return r.Z.exists(t)?(this.setRadius(t),this.Radius()):"twoPoints"===this.method?r.Z.cmpArrays(this.point2.coords.usrCoords,[0,0,0])||r.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,s,o,n,a,h=1.5,l=this.Radius(),c=this.center.coords.usrCoords,d=.7071067811865;if(!r.Z.exists(this.label))return new u.Z(i.Z.COORDS_BY_SCREEN,[NaN,NaN],this.board);if(s=r.Z.evaluate(this.label.visProp.position),!r.Z.isString(s))return new u.Z(i.Z.COORDS_BY_SCREEN,[NaN,NaN],this.board);if(!(s.indexOf("right")<0&&s.indexOf("left")<0))return c=this.center.coords.scrCoords,o=r.Z.parsePosition(s),n=r.Z.parseNumber(o.pos,2*Math.PI,1),o.pos.indexOf("fr")<0&&o.pos.indexOf("%")<0&&(o.pos.indexOf("px")>=0?n=0:n*=Math.PI/180),a=1,"left"===o.side&&(a=-1),r.Z.exists(this.label)&&(h=.5*a*r.Z.evaluate(this.label.visProp.distance)),t=c[1]+(l*this.board.unitX+this.label.size[0]*h)*Math.cos(n),e=c[2]-(l*this.board.unitY+this.label.size[1]*h)*Math.sin(n),new u.Z(i.Z.COORDS_BY_SCREEN,[t,e],this.board);switch(r.Z.evaluate(this.visProp.label.position)){case"lft":t=c[1]-l,e=c[2];break;case"llft":t=c[1]-d*l,e=c[2]-d*l;break;case"rt":t=c[1]+l,e=c[2];break;case"lrt":t=c[1]+d*l,e=c[2]-d*l;break;case"urt":t=c[1]+d*l,e=c[2]+d*l;break;case"top":t=c[1],e=c[2]+l;break;case"bot":t=c[1],e=c[2]-l;break;default:t=c[1]-d*l,e=c[2]+d*l}return new u.Z(i.Z.COORDS_BY_USER,[t,e],this.board)},cloneToBackground:function(){var t,e=this.Radius(),s={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:r.Z.deepCopy(this.visProp,this.visProp.traceattributes,!0)};return s.visProp.layer=this.board.options.layer.trace,this.numTraces++,r.Z.clearVisPropOld(s),s.visPropCalc={visible:r.Z.evaluate(s.visProp.visible)},t=this.board.renderer.enhancedRendering,this.board.renderer.enhancedRendering=!0,this.board.renderer.drawEllipse(s),this.board.renderer.enhancedRendering=t,this.traces[s.id]=s.rendNode,this},addTransform:function(t){var e,i=r.Z.isArray(t)?t:[t],s=i.length;for(e=0;e<s;e++)this.center.transformations.push(i[e]),"twoPoints"===this.method&&this.point2.transformations.push(i[e]);return this},snapToGrid:function(){var t=r.Z.evaluate(this.visProp.snaptogrid);return this.center.handleSnapToGrid(t,!0),"twoPoints"===this.method&&this.point2.handleSnapToGrid(t,!0),this},snapToPoints:function(){var t=r.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,s,o){var n,a,h,l,c,d=["center","point2"];if(a=[],c=e.select(s[0]),r.Z.isObject(c)&&c.elementClass===i.Z.OBJECT_CLASS_CIRCLE&&r.Z.isTransformationOrArray(s[1]))return l=r.Z.copyAttributes(o,e.options,"circle"),(n=t.Z.createEllipse(e,[c.center,c.center,function(){return 2*c.Radius()}],l)).addTransform(s[1]),n;for(h=0;h<s.length;h++)if(r.Z.isPointType(e,s[h])){if(s.length<3?a.push(r.Z.providePoints(e,[s[h]],o,"circle",[d[h]])[0]):a.push(r.Z.providePoints(e,[s[h]],o,"point")[0]),!1===a[a.length-1])throw new Error("JSXGraph: Can't create circle from this type. Please provide a point type.")}else a.push(s[h]);if(l=r.Z.copyAttributes(o,e.options,"circle"),2===a.length&&r.Z.isPoint(a[0])&&r.Z.isPoint(a[1]))n=new t.Z.Circle(e,"twoPoints",a[0],a[1],l);else if((r.Z.isNumber(a[0])||r.Z.isFunction(a[0])||r.Z.isString(a[0]))&&r.Z.isPoint(a[1]))n=new t.Z.Circle(e,"pointRadius",a[1],a[0],l);else if((r.Z.isNumber(a[1])||r.Z.isFunction(a[1])||r.Z.isString(a[1]))&&r.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&&r.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&&r.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&&r.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&&r.Z.isPoint(a[0]))n=new t.Z.Circle(e,"pointLine",a[0],a[1],l);else{if(!(3===s.length&&r.Z.isPoint(a[0])&&r.Z.isPoint(a[1])&&r.Z.isPoint(a[2])))throw new Error("JSXGraph: Can't create circle with parent types '"+typeof s[0]+"' and '"+typeof s[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++)r.Z.isPoint(a[h])&&n.inherits.push(a[h]);return n},t.Z.registerElement("circle",t.Z.createCircle);var K=t.Z.Circle;t.Z.createEllipse=function(t,e,s){var o,n,a,h,l,c,d,p=[],f=r.Z.copyAttributes(s,t.options,"conic","foci"),_=r.Z.copyAttributes(s,t.options,"conic","center"),m=r.Z.copyAttributes(s,t.options,"conic");for(c=0;c<2;c++)if(e[c].length>1)p[c]=t.create("point",e[c],f);else if(r.Z.isPoint(e[c]))p[c]=t.select(e[c]);else if(r.Z.isFunction(e[c])&&r.Z.isPoint(e[c]()))p[c]=e[c]();else{if(!r.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(r.Z.isNumber(e[2]))l=r.Z.createFunction(e[2],t);else if(r.Z.isFunction(e[2])&&r.Z.isNumber(e[2]()))l=e[2];else{if(r.Z.isPoint(e[2]))h=t.select(e[2]);else if(e[2].length>1)h=t.create("point",e[2],f);else if(r.Z.isFunction(e[2])&&r.Z.isPoint(e[2]()))h=e[2]();else{if(!r.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(r.Z.exists(e[4])||(e[4]=2*Math.PI),r.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]],m)).majorAxis=l,d=n.hasPoint,o=function(t,e){var i,r,s,o,a,h,c,d,u;e||(r=(i=l())*i,s=p[0].X(),o=p[0].Y(),c=s-(a=p[1].X()),d=o-(h=p[1].Y()),u=(r-s*s-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/r-1,c*d/r],[u*d/i+h,c*d/r,d*d/r-1]])},n.X=function(t,e){var i=l(),r=p[1].Dist(p[0]),s=.5*(r*r-i*i)/(r*Math.cos(t)-i),n=Math.atan2(p[1].Y()-p[0].Y(),p[1].X()-p[0].X());return e||o(0,e),p[0].X()+Math.cos(n+t)*s},n.Y=function(t,e){var i=l(),r=p[1].Dist(p[0]),s=.5*(r*r-i*i)/(r*Math.cos(t)-i),o=Math.atan2(p[1].Y()-p[0].Y(),p[1].X()-p[0].X());return p[0].Y()+Math.sin(o+t)*s},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]),r.Z.isPoint(h)&&n.inherits.push(h),n.hasPoint=function(t,e){var s,o,n,a;return r.Z.evaluate(this.visProp.hasinnerpoints)?(s=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,s)+a.distance(i.Z.COORDS_BY_USER,o)<=n):d.apply(this,arguments)},a.addChild(n),c=0;c<2;c++)r.Z.isPoint(p[c])&&p[c].addChild(n);return r.Z.isPoint(h)&&h.addChild(n),n.setParents(e),n},t.Z.createHyperbola=function(t,e,s){var o,n,a,h,l,c,d=[],u=r.Z.copyAttributes(s,t.options,"conic","foci"),p=r.Z.copyAttributes(s,t.options,"conic","center"),f=r.Z.copyAttributes(s,t.options,"conic");for(c=0;c<2;c++)if(e[c].length>1)d[c]=t.create("point",e[c],u);else if(r.Z.isPoint(e[c]))d[c]=t.select(e[c]);else if(r.Z.isFunction(e[c])&&r.Z.isPoint(e[c]()))d[c]=e[c]();else{if(!r.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(r.Z.isNumber(e[2]))l=r.Z.createFunction(e[2],t);else if(r.Z.isFunction(e[2])&&r.Z.isNumber(e[2]()))l=e[2];else{if(r.Z.isPoint(e[2]))h=t.select(e[2]);else if(e[2].length>1)h=t.create("point",e[2],u);else if(r.Z.isFunction(e[2])&&r.Z.isPoint(e[2]()))h=e[2]();else{if(!r.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(r.Z.exists(e[4])||(e[4]=1.0001*Math.PI),r.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,r,s,o,a,h,c,u,p;e||(r=(i=l())*i,s=d[0].X(),o=d[0].Y(),c=s-(a=d[1].X()),u=o-(h=d[1].Y()),p=(r-s*s-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/r-1,c*u/r],[p*u/i+h,c*u/r,u*u/r-1]])},n.X=function(t,e){var i=l(),r=d[1].Dist(d[0]),s=.5*(r*r-i*i)/(r*Math.cos(t)+i),n=Math.atan2(d[1].Y()-d[0].Y(),d[1].X()-d[0].X());return e||o(0,e),d[0].X()+Math.cos(n+t)*s},n.Y=function(t,e){var i=l(),r=d[1].Dist(d[0]),s=.5*(r*r-i*i)/(r*Math.cos(t)+i),o=Math.atan2(d[1].Y()-d[0].Y(),d[1].X()-d[0].X());return d[0].Y()+Math.sin(o+t)*s},n.midpoint=n.center=a,n.subs={center:n.center},n.inherits.push(n.center,d[0],d[1]),r.Z.isPoint(h)&&n.inherits.push(h),n.type=i.Z.OBJECT_TYPE_CONIC,a.addChild(n),c=0;c<2;c++)r.Z.isPoint(d[c])&&d[c].addChild(n);return r.Z.isPoint(h)&&h.addChild(n),n.setParents(e),n},t.Z.createParabola=function(t,e,s){var o,n,a,l,c=e[0],d=e[1],u=r.Z.copyAttributes(s,t.options,"conic","foci"),p=r.Z.copyAttributes(s,t.options,"conic","center"),f=r.Z.copyAttributes(s,t.options,"conic");if(e[0].length>1)c=t.create("point",e[0],u);else if(r.Z.isPoint(e[0]))c=t.select(e[0]);else if(r.Z.isFunction(e[0])&&r.Z.isPoint(e[0]()))c=e[0]();else{if(!r.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 r.Z.isArray(d)&&2===d.length&&(l=r.Z.copyAttributes(s,t.options,"conic","line"),d=t.create("line",d,l)),r.Z.exists(e[3])||(e[3]=2*Math.PI),r.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,r,s,o,a,h;e||(i=d.stdform[1],r=d.stdform[2],s=d.stdform[0],o=i*i+r*r,a=c.X(),h=c.Y(),n.quadraticform=[[s*s-o*(a*a+h*h),s*i+o*a,s*r+o*h],[s*i+o*a,-r*r,i*r],[s*r+o*h,i*r,-i*i]])},n.X=function(t,e){var i,r=d.getAngle(),s=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)*s/(1-Math.sin(t)),e||o(0,e),c.X()+Math.cos(t+r)*i},n.Y=function(t,e){var i,r=d.getAngle(),s=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)*s/(1-Math.sin(t)),c.Y()+Math.sin(t+r)*i},n.type=i.Z.OBJECT_TYPE_CONIC,a.addChild(n),r.Z.isPoint(c)&&(c.addChild(n),n.inherits.push(c)),d.addChild(n),n.setParents(e),n},t.Z.createConic=function(t,e,s){var n,a,h,l,c,u,p,f,_,m,g,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=r.Z.copyAttributes(s,t.options,"conic","point"),x=r.Z.copyAttributes(s,t.options,"conic","center"),S=r.Z.copyAttributes(s,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(r.Z.isPoint(e[b]))P[b]=t.select(e[b]);else if(r.Z.isFunction(e[b])&&r.Z.isPoint(e[b]()))P[b]=e[b]();else{if(!r.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]=r.Z.isFunction(e[2])?function(){return e[2]()}:function(){return e[2]},v[0][1]=r.Z.isFunction(e[4])?function(){return e[4]()}:function(){return e[4]},v[0][2]=r.Z.isFunction(e[5])?function(){return e[5]()}:function(){return e[5]},v[1][1]=r.Z.isFunction(e[0])?function(){return e[0]()}:function(){return e[0]},v[1][2]=r.Z.isFunction(e[3])?function(){return e[3]()}:function(){return e[3]},v[2][2]=r.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,r,s=[[0,0,0],[0,0,0],[0,0,0]];for(i=0;i<3;i++)for(r=0;r<3;r++)s[i][r]=t[i]*e[r];return c(s)},h=function(t,e,i){var r,s,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),r=0;r<3;r++)for(s=0;s<3;s++)l[r][s]=n*t[r][s]-a*e[r][s];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,s,n;if(!e){if(Z){for(i=0;i<5;i++)E[i]=P[i].coords.usrCoords;m=l(o.Z.crossProduct(E[0],E[1]),o.Z.crossProduct(E[2],E[3])),g=l(o.Z.crossProduct(E[0],E[2]),o.Z.crossProduct(E[1],E[3])),y=h(m,g,E[4])}else for(i=0;i<3;i++)for(s=i;s<3;s++)y[i][s]=v[i][s](),s>i&&(y[s][i]=y[i][s]);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])),r.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++)r.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,s,o){this.constructor(e,o,i.Z.OBJECT_TYPE_POLYGON,i.Z.OBJECT_CLASS_AREA);var n,a,h,l,c,d=r.Z.copyAttributes(o,e.options,"polygon","borders");for(this.withLines=o.withlines,this.attr_line=d,this.vertices=[],n=0;n<s.length;n++)this.vertices[n]=this.board.select(s[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=r.Z.isArray(d.colors)&&d.colors[n%d.colors.length]||d.strokecolor,d.visible=r.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]),r.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",boundingBox:"bounds",BoundingBox:"bounds",addPoints:"addPoints",insertPoints:"insertPoints",removePoints:"removePoints",Intersect:"intersect"})},t.Z.Polygon.prototype=new H.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,s;if(r.Z.evaluate(this.visProp.hasinnerpoints)&&this.pnpoly(t,e))return!0;for(s=this.borders.length,i=0;i<s;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,r,s,o;if(0===this.vertices.length)return new u.Z(i.Z.COORDS_BY_USER,[1,0,0],this.board);for(r=t=this.vertices[0].X(),s=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()>r&&(r=this.vertices[o].X()),this.vertices[o].Y()>e&&(e=this.vertices[o].Y()),this.vertices[o].Y()<s&&(s=this.vertices[o].Y());return new u.Z(i.Z.COORDS_BY_USER,[.5*(t+r),.5*(e+s)],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=r.Z.deepCopy(this.visProp,this.visProp.traceattributes,!0),e.visProp.layer=this.board.options.layer.trace,e.board=this.board,r.Z.clearVisPropOld(e),e.visPropCalc={visible:r.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&&r.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 r.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],r=this.vertices.length-1;if(0===r)return i;for(i[0]=this.vertices[0].X(),i[2]=i[0],i[1]=this.vertices[0].Y(),i[3]=i[1],t=1;t<r;++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]);H.Z.prototype.remove.call(this)},findPoint:function(t){var e;if(!r.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,s,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(s=arguments.length-1,i=1;i<s+1;i++)(a=r.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+s;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,s,o,n=[],a=[],h=[],l=[];for("polygon"===this.elType&&(o=this.vertices.pop()),e=0;e<arguments.length;e++)s=arguments[e],r.Z.isPoint(s)&&(s=this.findPoint(s)),r.Z.isNumber(s)&&s>-1&&s<this.vertices.length&&-1===r.Z.indexOf(h,s)&&h.push(s);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++)r.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=H.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=!!r.Z.evaluate(this.visProp.snaptogrid),t=0;t<this.vertices.length;t++)this.vertices[t].handleSnapToGrid(e,!0)},setPositionDirectly:function(t,e,i){var r,s,o,n=new u.Z(t,e,this.board),a=new u.Z(t,i,this.board);for(o=this.vertices.length-1,s=0;s<o;s++)if(!this.vertices[s].draggable())return this;return r=p.Z.subtract(n.usrCoords,a.usrCoords),this.board.create("transform",r.slice(1),{type:"translate"}).applyOnce(this.vertices.slice(0,-1)),this},sutherlandHodgman:function(e){var i,r,s,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(s=0;s<u;s++)p.push(c[s]);for(s=0;s<d;s++)for(r=p.slice(0),p=[],n=r[(i=r.length)-1],o=0;o<i;o++)a=r[o],f(l[s],l[s+1],a)?(f(l[s],l[s+1],n)||((h=t.Z.Math.Geometry.meetSegmentSegment(n,a,l[s],l[s+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[s],l[s+1],n)&&((h=t.Z.Math.Geometry.meetSegmentSegment(n,a,l[s],l[s+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,s,o){var n,a,h,l,c,d,u=[],p=!1;if(r.Z.copyAttributes(o,e.options,"polygon"),null===(l=e.select(s[0]))&&(l=s[0]),r.Z.isObject(l)&&l.type===i.Z.OBJECT_TYPE_POLYGON&&r.Z.isTransformationOrArray(s[1]))for(p=!0,h=l.vertices.length-1,d=r.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],s[1]],d));else if(!1===(u=r.Z.providePoints(e,s,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=r.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,s){var o,n,a,h,l,c,d,u=[];if(a=e[(l=e.length)-1],r.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(r.Z.isNumber(t.select(a))?(l--,c=!1):(a=l,c=!0),!1===(u=r.Z.providePoints(t,e.slice(0,l),s,"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=r.Z.copyAttributes(s,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()):(r.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=r.Z.copyAttributes(s,t.options,"regularpolygon"),(o=t.create("polygon",u,d)).elType="regularpolygon",o},t.Z.createPolygonalChain=function(t,e,i){var s,o;return s=r.Z.copyAttributes(i,t.options,"polygonalchain"),(o=t.create("polygon",e,s)).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 s,o,n,a,h;if(!1===(n=r.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=r.Z.copyAttributes(i,t.options,"parallelogram",["parallelpoint"]),o=t.create("parallelpoint",n,h),a=r.Z.copyAttributes(i,t.options,"parallelogram"),(s=t.create("polygon",[n[0],n[1],o,n[2]],a)).elType="parallelogram",s.parallelPoint=o,s.isDraggable=!0,o.isDraggable=!0,o.visProp.fixed=!1,s},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 q=t.Z.Polygon;t.Z.Curve=function(t,e,s){this.constructor(t,s,i.Z.OBJECT_TYPE_CURVE,i.Z.OBJECT_CLASS_CURVE),this.points=[],this.numberPoints=r.Z.evaluate(this.visProp.numberpointshigh),this.bezierDegree=1,this.dataX=null,this.dataY=null,this.ticks=[],this.qdt=null,r.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(),r.Z.isString(this.xterm)&&this.notifyParents(this.xterm),r.Z.isString(this.yterm)&&this.notifyParents(this.yterm),this.methodMap=r.Z.deepCopy(this.methodMap,{generateTerm:"generateTerm",setTerm:"generateTerm",move:"moveTo",moveTo:"moveTo",MinX:"minX",MaxX:"maxX"})},t.Z.Curve.prototype=new H.Z,t.Z.extend(t.Z.Curve.prototype,{minX:function(){return"polar"===r.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"===r.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,s){var n,a,l,c,d,p,f,_,m,g,b,v,Z,C,y,P,E=[],O=r.Z.evaluate(this.visProp.numberpointslow),x=(this.maxX()-this.minX())/O,S=1/0;if(r.Z.isObject(r.Z.evaluate(this.visProp.precision))?(v=this.board._inputDevice,b=r.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&&r.Z.evaluate(this.visProp.hasinnerpoints)&&0!==h.Z.windingNumber([1,t,e],this.points,!0))return!0;if(b+=.5*r.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(),r.Z.exists(this._visibleArea)&&(P=this._visibleArea[0],x=(this._visibleArea[1]-P)/O),"parameter"===(y=r.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((!r.Z.exists(s)||s<0)&&(s=0),r.Z.exists(this.qdt)&&r.Z.evaluate(this.visProp.useqdt)&&3!==this.bezierDegree?f=(m=(g=this.qdt.query(new u.Z(i.Z.COORDS_BY_USER,[t,e],this.board))).points).length:(m=this.points,f=this.numberPoints-1),l=s;l<f;l++)if(3===this.bezierDegree?E=h.Z.projectCoordsToBeziersegment([1,t,e],this,l):g?(m[l].prev&&(E=h.Z.projectCoordsToSegment([1,t,e],m[l].prev.usrCoords,m[l].usrCoords)),m[l].next&&m[l+1]!==m[l].next&&(E=h.Z.projectCoordsToSegment([1,t,e],m[l].usrCoords,m[l].next.usrCoords))):E=h.Z.projectCoordsToSegment([1,t,e],m[l].usrCoords,m[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&&(r.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,s,o,n,a,h=this.visProp.plotversion,c=!1;if(this.updateTransformMatrix(),this.updateDataArray(),s=this.minX(),o=this.maxX(),r.Z.exists(this.dataX))for(this.numberPoints=this.dataX.length,e=this.numberPoints,this.allocatePoints(),t=0;t<e;t++)n=t,r.Z.exists(this.dataY)?(a=t,this.points[t].setCoordinates(i.Z.COORDS_BY_USER,[this.dataX[t],this.dataY[t]],!1)):(a=this.X(n),this.points[t].setCoordinates(i.Z.COORDS_BY_USER,[this.dataX[t],this.Y(a,c)],!1)),this.points[t]._t=t,c=!0;else if(r.Z.evaluate(this.visProp.doadvancedplot)?1===h||r.Z.evaluate(this.visProp.doadvancedplotold)?f.updateParametricCurveOld(this,s,o):2===h?f.updateParametricCurve_v2(this,s,o):3===h?f.updateParametricCurve_v3(this,s,o):4===h?f.updateParametricCurve_v4(this,s,o):f.updateParametricCurve_v2(this,s,o):(this.board.updateQuality===this.board.BOARD_QUALITY_HIGH?this.numberPoints=r.Z.evaluate(this.visProp.numberpointshigh):this.numberPoints=r.Z.evaluate(this.visProp.numberpointslow),this.allocatePoints(),f.updateParametricCurveNaive(this,s,o,this.numberPoints)),e=this.numberPoints,r.Z.evaluate(this.visProp.useqdt)&&this.board.updateQuality===this.board.BOARD_QUALITY_HIGH)for(this.qdt=new l(this.board.getBoundingBox()),t=0;t<this.points.length;t++)this.qdt.insert(this.points[t]),t>0&&(this.points[t].prev=this.points[t-1]),t<e-1&&(this.points[t].next=this.points[t+1]);for("plot"!==r.Z.evaluate(this.visProp.curvetype)&&r.Z.evaluate(this.visProp.rdpsmoothing)&&(this.points=d.Z.RamerDouglasPeucker(this.points,.2),this.numberPoints=this.points.length),e=this.numberPoints,t=0;t<e;t++)this.updateTransform(this.points[t]);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=r.Z.isArray(t)?t:[t],s=i.length;for(e=0;e<s;e++)this.transformations.push(i[e]);return this},interpolationFunctionFromArray:function(t){var e="data"+t,i=this;return function(t,s){var o,n,a,h,l=i[e],c=l.length,d=[];if(isNaN(t))return NaN;if(t<0)return r.Z.isFunction(l[0])?l[0]():l[0];if(3===i.bezierDegree){if(t>=(c-1)/3)return r.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++)r.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 r.Z.isFunction(l[o])?l[o]():l[o];for(n=0;n<2;n++)r.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,s,o){var n,a;r.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=r.Z.createFunction(e,this.board,t),r.Z.isString(e)?this.visProp.curvetype="functiongraph":(r.Z.isFunction(e)||r.Z.isNumber(e))&&(this.visProp.curvetype="parameter"),this.isDraggable=!0),r.Z.isArray(i)?(this.dataY=i,this.Y=this.interpolationFunctionFromArray.apply(this,["Y"])):this.Y=r.Z.createFunction(i,this.board,t),r.Z.isFunction(e)&&r.Z.isArray(i)&&(n=r.Z.createFunction(i[0],this.board,""),a=r.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"),r.Z.exists(s)?this.minX=r.Z.createFunction(s,this.board,""):delete this.minX,r.Z.exists(o)?this.maxX=r.Z.createFunction(o,this.board,""):delete this.maxX,this.addParentsFromJCFunctions([this.X,this.Y,this.minX,this.maxX])},notifyParents:function(t){var e,i,r,s=!1;for(e in r={xterm:1,yterm:1})if(r.hasOwnProperty(e)&&this.hasOwnProperty(e)&&this[e].origin)for(i in s=!0,this[e].origin.deps)this[e].origin.deps.hasOwnProperty(i)&&this[e].origin.deps[i].addChild(this);s||B.Z.findDependencies(this,t,this.board)},getLabelAnchor:function(){var t,e,s,n,a,l,c,d,p,f,_,m=1.5,g=.05*this.board.canvasWidth,b=.05*this.board.canvasHeight,v=.95*this.board.canvasWidth,Z=.95*this.board.canvasHeight;if(!r.Z.exists(this.label))return new u.Z(i.Z.COORDS_BY_SCREEN,[NaN,NaN],this.board);if(s=r.Z.evaluate(this.label.visProp.position),!r.Z.isString(s))return new u.Z(i.Z.COORDS_BY_SCREEN,[NaN,NaN],this.board);if(!(s.indexOf("right")<0&&s.indexOf("left")<0))return n=r.Z.parsePosition(s),a=r.Z.parseNumber(n.pos,this.maxX()-this.minX(),1),n.pos.indexOf("fr")<0&&n.pos.indexOf("%")<0&&(a=0),c=this.minX()+a,t=this.X(c),e=this.Y(c),_=new u.Z(i.Z.COORDS_BY_USER,[t,e],this.board).scrCoords,l=o.Z.eps,c<this.minX()+l?(d=(this.X(c+l)-this.X(c))/l,p=(this.Y(c+l)-this.Y(c))/l):c>this.maxX()-l?(d=(this.X(c)-this.X(c-l))/l,p=(this.Y(c)-this.Y(c-l))/l):(d=.5*(this.X(c+l)-this.X(c-l))/l,p=.5*(this.Y(c+l)-this.Y(c-l))/l),f=o.Z.hypot(d,p),"left"===n.side?p*=-1:d*=-1,r.Z.exists(this.label)&&(m=.5*r.Z.evaluate(this.label.visProp.distance)/f),t=_[1]+p*this.label.size[0]*m,e=_[2]-d*this.label.size[1]*m,new u.Z(i.Z.COORDS_BY_SCREEN,[t,e],this.board);switch(r.Z.evaluate(this.visProp.label.position)){case"ulft":t=g,e=b;break;case"llft":t=g,e=Z;break;case"rt":t=v,e=.5*Z;break;case"lrt":t=v,e=Z;break;case"urt":t=v,e=b;break;case"top":t=.5*v,e=b;break;case"bot":t=.5*v,e=Z;break;default:t=g,e=.5*Z}return _=new u.Z(i.Z.COORDS_BY_SCREEN,[t,e],this.board,!1),h.Z.projectCoordsToCurve(_.usrCoords[1],_.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:r.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++,r.Z.clearVisPropOld(e),e.visPropCalc={visible:r.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,s=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=r.Z.bind((function(){return this.usrCoords[1]}),this.points[t]),this.points[t].Y=r.Z.bind((function(){return this.usrCoords[2]}),this.points[t]);return i=(e=d.Z.bezier(this.points))[3](),s=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]),s=e[0](s),o=e[0](o),n=e[1](n),[s,a=e[1](a),o,n]}for(t=0;t<h;t++)s>this.points[t].usrCoords[1]&&(s=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[s,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,s=[];return this.points.length>0&&!r.Z.evaluate(this.visProp.fixed)&&(e=this.points[0],s=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,s)),this},getTransformationSource:function(){var t,e;return r.Z.exists(this._transformationSource)&&(e=this._transformationSource).elementClass===i.Z.OBJECT_CLASS_CURVE&&(t=!0),[t,e]}}),t.Z.createCurve=function(e,s,o){var n,a,h=r.Z.copyAttributes(o,e.options,"curve");return n=e.select(s[0],!0),r.Z.isTransformationOrArray(s[1])&&r.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=r.Z.copyAttributes(o,e.options,"sector"):n.type===i.Z.OBJECT_TYPE_ARC?h=r.Z.copyAttributes(o,e.options,"arc"):n.type===i.Z.OBJECT_TYPE_ANGLE?(r.Z.exists(o.withLabel)||(o.withLabel=!1),h=r.Z.copyAttributes(o,e.options,"angle")):h=r.Z.copyAttributes(o,e.options,"curve"),h=r.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(s[1]),n.addChild(a),a.setParents([n]),a._transformationSource=n,a):(h=r.Z.copyAttributes(o,e.options,"curve"),new t.Z.Curve(e,["x"].concat(s),h))},t.Z.registerElement("curve",t.Z.createCurve),t.Z.createFunctiongraph=function(e,i,s){var o,n=["x","x"].concat(i);return o=r.Z.copyAttributes(s,e.options,"functiongraph"),(o=r.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,s){var o,n,a;return n=function(){var t,e=[],s=[];return[function(o,n){var a,h,l;if(!n){if(e=[],s=[],2===i.length&&r.Z.isArray(i[0])&&r.Z.isArray(i[1])&&i[0].length===i[1].length)for(a=0;a<i[0].length;a++)r.Z.isFunction(i[0][a])?e.push(i[0][a]()):e.push(i[0][a]),r.Z.isFunction(i[1][a])?s.push(i[1][a]()):s.push(i[1][a]);else for(a=0;a<i.length;a++)if(r.Z.isPoint(i[a]))e.push(i[a].X()),s.push(i[a].Y());else if(r.Z.isArray(i[a])&&2===i[a].length)for(h=0;h<i.length;h++)r.Z.isFunction(i[h][0])?e.push(i[h][0]()):e.push(i[h][0]),r.Z.isFunction(i[h][1])?s.push(i[h][1]()):s.push(i[h][1]);else r.Z.isFunction(i[a])&&2===i[a]().length&&(l=i[a](),e.push(l[0]),s.push(l[1]));t=d.Z.splineDef(e,s)}return d.Z.splineEval(o,e,s,t)},function(){return e[0]},function(){return e[e.length-1]}]},(s=r.Z.copyAttributes(s,e.options,"curve")).curvetype="functiongraph",a=n(),(o=new t.Z.Curve(e,["x","x",a[0],a[1],a[2]],s)).setParents(i),o.elType="spline",o},t.Z.registerElement("spline",t.Z.createSpline),t.Z.createCardinalSpline=function(e,i,s){var n,a,h,l,c,u,p,f,_,m,g="\nPossible parent types: [points:array, tau:number|function, type:string]";if(!r.Z.exists(i[0])||!r.Z.isArray(i[0]))throw new Error("JSXGraph: JXG.createCardinalSpline: argument 1 'points' has to be array of points or coordinate pairs"+g);if(!r.Z.exists(i[1])||!r.Z.isNumber(i[1])&&!r.Z.isFunction(i[1]))throw new Error("JSXGraph: JXG.createCardinalSpline: argument 2 'tau' has to be number between [0,1] or function'"+g);if(!r.Z.exists(i[2])||!r.Z.isString(i[2]))throw new Error("JSXGraph: JXG.createCardinalSpline: argument 3 'type' has to be string 'uniform' or 'centripetal'"+g);if(s=r.Z.copyAttributes(s,e.options,"curve"),(s=r.Z.copyAttributes(s,e.options,"cardinalspline")).curvetype="parameter",u=i[0],p=[],!s.isarrayofcoordinates&&2===u.length&&r.Z.isArray(u[0])&&r.Z.isArray(u[1])&&u[0].length===u[1].length)for(f=0;f<u[0].length;f++)p[f]=[],r.Z.isFunction(u[0][f])?p[f].push(u[0][f]()):p[f].push(u[0][f]),r.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++)r.Z.isString(u[f])?p.push(e.select(u[f])):r.Z.isPoint(u[f])?p.push(u[f]):r.Z.isArray(u[f])&&2===u[f].length?(p[f]=[],r.Z.isFunction(u[f][0])?p[f].push(u[f][0]()):p[f].push(u[f][0]),r.Z.isFunction(u[f][1])?p[f].push(u[f][1]()):p[f].push(u[f][1])):r.Z.isFunction(u[f])&&2===u[f]().length&&p.push(i[f]());if(!0===s.createpoints)h=r.Z.providePoints(e,p,s,"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++)r.Z.isPoint(p[f])?h.push(p[f]):h.push(a(f));for(l=i[1],c=i[2],m=["x"].concat(d.Z.CardinalSpline(h,l,c)),n=new t.Z.Curve(e,m,s),_=h.length,n.setParents(h),f=0;f<_;f++)u=h[f],r.Z.isPoint(u)&&(r.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,s){var o,n,a,h,l,c,d,u,p="\nPossible parent types: [points:array, controls:object";if(!r.Z.exists(i[0])||!r.Z.isArray(i[0]))throw new Error("JSXGraph: JXG.createMetapostSpline: argument 1 'points' has to be array of points or coordinate pairs"+p);if(!r.Z.exists(i[1])||!r.Z.isObject(i[1]))throw new Error("JSXGraph: JXG.createMetapostSpline: argument 2 'controls' has to be a JavaScript object'"+p);if(s=r.Z.copyAttributes(s,e.options,"curve"),(s=r.Z.copyAttributes(s,e.options,"metapostspline")).curvetype="parameter",l=i[0],c=[],!s.isarrayofcoordinates&&2===l.length&&r.Z.isArray(l[0])&&r.Z.isArray(l[1])&&l[0].length===l[1].length)for(d=0;d<l[0].length;d++)c[d]=[],r.Z.isFunction(l[0][d])?c[d].push(l[0][d]()):c[d].push(l[0][d]),r.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++)r.Z.isString(l[d])?c.push(e.select(l[d])):r.Z.isPoint(l[d])?c.push(l[d]):r.Z.isArray(l[d])&&2===l[d].length?(c[d]=[],r.Z.isFunction(l[d][0])?c[d].push(l[d][0]()):c[d].push(l[d][0]),r.Z.isFunction(l[d][1])?c[d].push(l[d][1]()):c[d].push(l[d][1])):r.Z.isFunction(l[d])&&2===l[d]().length&&c.push(i[d]());if(!0===s.createpoints)a=r.Z.providePoints(e,c,s,"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++)r.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],s)).updateDataArray=function(){var t,e,i=a.length,r=[];for(e=0;e<i;e++)r.push([a[e].X(),a[e].Y()]);t=m.curve(r,h),this.dataX=t[0],this.dataY=t[1]},o.bezierDegree=3,u=a.length,o.setParents(a),d=0;d<u;d++)r.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 s,o,n,a,h,l;if((l=r.Z.copyAttributes(i,t.options,"riemannsum")).curvetype="plot",n=e[0],s=r.Z.createFunction(e[1],t,""),!r.Z.exists(s))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("string"==typeof e[2]&&(e[2]="'"+e[2]+"'"),o=r.Z.createFunction(e[2],t,""),!r.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,s(),o(),this.minX(),this.maxX());this.dataX=t[0],this.dataY=t[1],this.sum=t[2]},h.addParentsFromJCFunctions([s,o]),h},t.Z.registerElement("riemannsum",t.Z.createRiemannsum),t.Z.createTracecurve=function(t,e,s){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||!r.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=r.Z.copyAttributes(s,t.options,"tracecurve")).curvetype="plot",(o=t.create("curve",[[0],[0]],h)).updateDataArray=function(){var t,e,r,s,o,l,c,d,u,p=h.numberpoints,f=n.position,_=n.slideObject,m=_.minX();for(e=(_.maxX()-m)/p,this.dataX=[],this.dataY=[],_.elementClass!==i.Z.OBJECT_CLASS_CURVE&&p++,t=0;t<p;t++){for(s in r=m+t*e,l=_.X(r)/_.Z(r),c=_.Y(r)/_.Z(r),n.setPositionDirectly(i.Z.COORDS_BY_USER,[l,c]),d=!1,this.board.objects)if(this.board.objects.hasOwnProperty(s)&&((o=this.board.objects[s])===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(s in n.position=f,d=!1,this.board.objects)if(this.board.objects.hasOwnProperty(s)&&((o=this.board.objects[s])===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 s,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=r.Z.copyAttributes(i,t.options,"stepfunction"),(s=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},s},t.Z.registerElement("stepfunction",t.Z.createStepfunction),t.Z.createDerivative=function(t,e,s){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=r.Z.copyAttributes(s,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(t,e,i){var r;if(2!==e.length)throw new Error("JSXGraph: Can't create curve intersection with given parent'\nPossible parent types: [array, array|function]");return(r=t.create("curve",[[],[]],i)).updateDataArray=function(){var t=A.intersection(e[0],e[1],this.board);this.dataX=t[0],this.dataY=t[1]},r},t.Z.createCurveUnion=function(t,e,i){var r;if(2!==e.length)throw new Error("JSXGraph: Can't create curve union with given parent'\nPossible parent types: [array, array|function]");return(r=t.create("curve",[[],[]],i)).updateDataArray=function(){var t=A.union(e[0],e[1],this.board);this.dataX=t[0],this.dataY=t[1]},r},t.Z.createCurveDifference=function(t,e,i){var r;if(2!==e.length)throw new Error("JSXGraph: Can't create curve difference with given parent'\nPossible parent types: [array, array|function]");return(r=t.create("curve",[[],[]],i)).updateDataArray=function(){var t=A.difference(e[0],e[1],this.board);this.dataX=t[0],this.dataY=t[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 s,o,n,a=r.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(s=t.create("curve",[[],[]],a),n=e[0].length,s.Q=[],o=0;o<n;o++)s.Q[o]=r.Z.createFunction(e[0][o],t);return s.x=r.Z.createFunction(e[1],t),s.w=r.Z.createFunction(e[2],t),s.updateDataArray=function(){var t,e,i,s,o,n,a,h,l;a=r.Z.evaluate(this.visProp.smallwidth),h=r.Z.evaluate(this.visProp.dir),i=(l=this.x())-.5*this.w(),s=l-.5*this.w()*a,o=l+.5*this.w(),t=[l,s,n=l+.5*this.w()*a,l,l,i,i,o,o,l,NaN,i,o,NaN,l,l,s,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)},s.addParentsFromJCFunctions([s.Q,s.x,s.w]),s},t.Z.registerElement("boxplot",t.Z.createBoxPlot),t.Z.createImplicitCurve=function(t,e,i){var s,o;if(1!==e.length&&3!==e.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 o=r.Z.copyAttributes(i,t.options,"implicitcurve"),(s=t.create("curve",[[],[]],o)).f=r.Z.createFunction(e[0],t,"x, y"),s.dfx=r.Z.createFunction(e[1],t,"x, y"),s.dfy=r.Z.createFunction(e[2],t,"x, y"),s.updateDataArray=function(){var t,e,i,s=this.board.getBoundingBox(),o=r.Z.evaluate(this.visProp.margin);s[0]-=o,s[1]+=o,s[2]+=o,s[3]-=o,e={resolution_out:Math.max(.01,r.Z.evaluate(this.visProp.resolution_outer)),resolution_in:Math.max(.01,r.Z.evaluate(this.visProp.resolution_inner)),max_steps:r.Z.evaluate(this.visProp.max_steps),alpha_0:r.Z.evaluate(this.visProp.alpha_0),tol_u0:r.Z.evaluate(this.visProp.tol_u0),tol_newton:r.Z.evaluate(this.visProp.tol_newton),tol_cusp:r.Z.evaluate(this.visProp.tol_cusp),tol_progress:r.Z.evaluate(this.visProp.tol_progress),qdt_box:r.Z.evaluate(this.visProp.qdt_box),kappa_0:r.Z.evaluate(this.visProp.kappa_0),delta_0:r.Z.evaluate(this.visProp.delta_0),h_initial:r.Z.evaluate(this.visProp.h_initial),h_critical:r.Z.evaluate(this.visProp.h_critical),h_max:r.Z.evaluate(this.visProp.h_max),loop_dist:r.Z.evaluate(this.visProp.loop_dist),loop_dir:r.Z.evaluate(this.visProp.loop_dir),loop_detection:r.Z.evaluate(this.visProp.loop_detection),unitX:this.board.unitX,unitY:this.board.unitY},this.dataX=[],this.dataY=[],t=new _(s,e,this.f,this.dfx,this.dfy),this.qdt=t.qdt,i=t.plot(),this.dataX=i[0],this.dataY=i[1]},s.elType="implicitcurve",s},t.Z.registerElement("implicitcurve",t.Z.createImplicitCurve);t.Z.Curve;t.Z.createArc=function(e,s,n){var a,l,c;if(!1===(c=r.Z.providePoints(e,s,n,"arc",["center","radiuspoint","anglepoint"]))||c.length<3)throw new Error("JSXGraph: Can't create Arc with parent types '"+typeof s[0]+"' and '"+typeof s[1]+"' and '"+typeof s[2]+"'.\nPossible parent types: [point,point,point], [arc, transformation]");return l=r.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,r.Z.exists(a.center._is_new)?(a.addChild(a.center),delete a.center._is_new):a.center.addChild(a),r.Z.exists(a.radiuspoint._is_new)?(a.addChild(a.radiuspoint),delete a.radiuspoint._is_new):a.radiuspoint.addChild(a),r.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,s,o,n=1,a=this.radiuspoint,l=this.center,d=this.anglepoint,u=r.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,s=c[3].coords.usrCoords,o=c[2].coords.usrCoords,(i[1]-o[1])*(i[2]-s[2])-(i[2]-o[2])*(i[1]-s[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 s,n,a,l,c,d,p,f=this.Radius();return r.Z.evaluate(this.visProp.hasinnerpoints)?this.hasPointSector(t,e):(r.Z.isObject(r.Z.evaluate(this.visProp.precision))?(p=this.board._inputDevice,d=r.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)),s=this.center.coords.distance(i.Z.COORDS_BY_USER,n),(a=Math.abs(s-f)<d)&&(a=h.Z.coordsOnArc(this,n)),a)},a.hasPointSector=function(t,e){var r=new u.Z(i.Z.COORDS_BY_SCREEN,[t,e],this.board),s=this.Radius(),o=this.center.coords.distance(i.Z.COORDS_BY_USER,r)<s;return o&&(o=h.Z.coordsOnArc(this,r)),o},a.getTextAnchor=function(){return this.center.coords},a.getLabelAnchor=function(){var t,e,s,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],m=p[2]-f[2],g=r.Z.evaluate(this.visProp.selection),b=this.label?this.label.visProp:this.visProp.label;return("minor"===g&&l>Math.PI||"major"===g&&l<Math.PI)&&(l=-(2*Math.PI-l)),s=(t=new u.Z(i.Z.COORDS_BY_USER,[f[1]+Math.cos(.5*l)*_-Math.sin(.5*l)*m,f[2]+Math.sin(.5*l)*_+Math.cos(.5*l)*m],this.board)).usrCoords[1]-f[1],n=t.usrCoords[2]-f[2],s=s*((a=o.Z.hypot(s,n))+c)/a,n=n*(a+d)/a,e=[f[1]+s,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=K.prototype.updateQuadraticform,a.updateStdform=K.prototype.updateStdform,a.methodMap=t.Z.deepCopy(a.methodMap,{getRadius:"getRadius",radius:"Radius",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 s,o,n,a;if(!1===(a=r.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=r.Z.copyAttributes(i,t.options,"semicircle","center"),(o=t.create("midpoint",a,n)).dump=!1,n=r.Z.copyAttributes(i,t.options,"semicircle"),(s=t.create("arc",[o,a[1],a[0]],n)).elType="semicircle",s.setParents([a[0].id,a[1].id]),s.subs={midpoint:o},s.inherits.push(o),s.midpoint=s.center=o,s},t.Z.registerElement("semicircle",t.Z.createSemicircle),t.Z.createCircumcircleArc=function(t,e,i){var s,o,n,a;if(!1===(a=r.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=r.Z.copyAttributes(i,t.options,"circumcirclearc","center"),(o=t.create("circumcenter",a,n)).dump=!1,(n=r.Z.copyAttributes(i,t.options,"circumcirclearc")).usedirection=!0,(s=t.create("arc",[o,a[0],a[2],a[1]],n)).elType="circumcirclearc",s.setParents([a[0].id,a[1].id,a[2].id]),s.subs={center:o},s.inherits.push(o),s.center=o,s},t.Z.registerElement("circumcirclearc",t.Z.createCircumcircleArc),t.Z.createMinorArc=function(e,i,r){return r.selection="minor",t.Z.createArc(e,i,r)},t.Z.registerElement("minorarc",t.Z.createMinorArc),t.Z.createMajorArc=function(e,i,r){return r.selection="major",t.Z.createArc(e,i,r)},t.Z.registerElement("majorarc",t.Z.createMajorArc),t.Z.createSector=function(e,s,n){var a,l,c,d,f,_,m="invalid";if(s[0].elementClass===i.Z.OBJECT_CLASS_LINE&&s[1].elementClass===i.Z.OBJECT_CLASS_LINE&&(r.Z.isArray(s[2])||r.Z.isNumber(s[2]))&&(r.Z.isArray(s[3])||r.Z.isNumber(s[3]))&&(r.Z.isNumber(s[4])||r.Z.isFunction(s[4])||r.Z.isString(s[4])))m="2lines";else{if(!1===(_=r.Z.providePoints(e,s,n,"sector",["center","radiusPoint","anglePoint"])))throw new Error("JSXGraph: Can't create Sector with parent types '"+typeof s[0]+"' and '"+typeof s[1]+"' and '"+typeof s[2]+"'.");m="3points"}if(l=r.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 r.Z.isPoint(a.center)&&(e=.3333*a.center.Dist(a.point2)),Math.max(t,Math.min(e,i))},"2lines"===m)a.Radius=function(){var t=r.Z.evaluate(s[4]);return"auto"===t?this.autoRadius():t},a.line1=e.select(s[0]),a.line2=e.select(s[1]),a.line1.addChild(a),a.line2.addChild(a),a.setParents(s),a.point1={visProp:{}},a.point2={visProp:{}},a.point3={visProp:{}},d=h.Z.meetLineLine(a.line1.stdform,a.line2.stdform,0,e),r.Z.isArray(s[2])?(2===s[2].length&&(s[2]=[1].concat(s[2])),f=h.Z.projectPointToLine({coords:{usrCoords:s[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=s[2]>=0?1:-1,r.Z.isArray(s[3])?(2===s[3].length&&(s[3]=[1].concat(s[3])),f=h.Z.projectPointToLine({coords:{usrCoords:s[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=s[3]>=0?1:-1,a.methodMap=t.Z.deepCopy(a.methodMap,{arc:"arc",center:"center",line1:"line1",line2:"line2"}),a.updateDataArray=function(){var t,e,r,s,n,l,c=[0,0,0];if(e=this.line1,r=this.line2,c=o.Z.crossProduct(e.stdform,r.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(),s=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*r.stdform[2],-t*r.stdform[1]]),this.point2.coords=new u.Z(i.Z.COORDS_BY_USER,s,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(s[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(s,c,n,!0,1),this.dataX=l[0],this.dataY=l[1],this.bezierDegree=3};else if("3points"===m){for(a.point1=_[0],a.point2=_[1],a.point3=_[2],c=0;c<3;c++)r.Z.exists(_[c]._is_new)?(a.addChild(_[c]),delete _[c]._is_new):_[c].addChild(a);a.useDirection=n.usedirection,a.setParents(_),r.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,s,o,n=this.point2,a=this.point1,l=this.point3,c=1,d=r.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&&r.Z.exists(this.point4)&&(e=this.point2.coords.usrCoords,i=this.point4.coords.usrCoords,s=this.point3.coords.usrCoords,(e[1]-s[1])*(e[2]-i[2])-(e[2]-s[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=r.Z.copyAttributes(n,e.options,"arc"),(l=r.Z.copyAttributes(l,e.options,"sector","arc")).withLabel=!1,l.selection=a.visProp.selection,l.name+="_arc","2lines"===m?(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 s,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),_=r.Z.evaluate(this.visProp.selection);return r.Z.isObject(r.Z.evaluate(this.visProp.precision))?(l=this.board._inputDevice,a=r.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)&&(s=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),(s<o||s>n)&&(c=!1)),c},a.hasPointSector=function(t,e){var s,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=r.Z.evaluate(this.visProp.selection);return c&&(s=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),(s<o||s>n)&&(c=!1)),c},a.hasPoint=function(t,e){return r.Z.evaluate(this.visProp.highlightonsector)||r.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,s,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],m=p[2]-f[2],g=r.Z.evaluate(this.visProp.selection),b=this.label?this.label.visProp:this.visProp.label;return("minor"===g&&l>Math.PI||"major"===g&&l<Math.PI)&&(l=-(2*Math.PI-l)),s=(t=new u.Z(i.Z.COORDS_BY_USER,[f[1]+Math.cos(.5*l)*_-Math.sin(.5*l)*m,f[2]+Math.sin(.5*l)*_+Math.cos(.5*l)*m],this.board)).usrCoords[1]-f[1],n=t.usrCoords[2]-f[2],s=s*((a=o.Z.hypot(s,n))+c)/a,n=n*(a+d)/a,e=[f[1]+s,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=r.Z.evaluate(t);"undefined"!==("auto"===t||"auto"===e?"auto":r.Z.isNumber(t)?"number":r.Z.isFunction(t)&&!r.Z.isString(e)?"function":"undefined")&&(this.visProp.radius=t),a.Radius=function(){var e=r.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"===m&&(a.setPositionDirectly=function(t,e,i){var r,s=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()?(r=p.Z.subtract(s.usrCoords,o.usrCoords),this.board.create("transform",r.slice(1),{type:"translate"}).applyOnce([a.point1,a.point2,a.point3]),this):this}),a.methodMap=t.Z.deepCopy(a.methodMap,{radius:"Radius",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 s,o,n,a;if(!1===(a=r.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=r.Z.copyAttributes(i,t.options,"circumcirclesector"),(s=t.create("sector",[o,a[0],a[2],a[1]],n)).elType="circumcirclesector",s.setParents(a),s.center=o,s.subs={center:o},s},t.Z.registerElement("circumcirclesector",t.Z.createCircumcircleSector),t.Z.createMinorSector=function(e,i,r){return r.selection="minor",t.Z.createSector(e,i,r)},t.Z.registerElement("minorsector",t.Z.createMinorSector),t.Z.createMajorSector=function(e,i,r){return r.selection="major",t.Z.createSector(e,i,r)},t.Z.registerElement("majorsector",t.Z.createMajorSector),t.Z.createAngle=function(t,e,s){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&&(r.Z.isArray(e[2])||r.Z.isNumber(e[2]))&&(r.Z.isArray(e[3])||r.Z.isNumber(e[3])))f="2lines";else{if(l={name:""},!1===(p=r.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=r.Z.copyAttributes(s,t.options,"angle"),r.Z.exists(l.name)&&""!==l.name||(l.name=t.generateName({type:i.Z.OBJECT_TYPE_ANGLE})),a=r.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=r.Z.evaluate(a);return"auto"===t?n.autoRadius():t},n.updateDataArraySector=function(){var t,e,i=this.point2,s=this.point1,o=this.point3,n=this.Radius(),a=s.Dist(i),l=1,c=r.Z.evaluate(this.visProp.selection);e=h.Z.rad(i,s,o),("minor"===c&&e>Math.PI||"major"===c&&e<Math.PI)&&(l=-1),i=i.coords.usrCoords,s=s.coords.usrCoords,o=o.coords.usrCoords,i=[1,s[1]+(i[1]-s[1])*n/a,s[2]+(i[2]-s[2])*n/a],o=[1,s[1]+(o[1]-s[1])*n/a,s[2]+(o[2]-s[2])*n/a],t=h.Z.bezierArc(i,s,o,!0,l),this.dataX=t[0],this.dataY=t[1],this.bezierDegree=3},n.setAngle=function(t){var e,i,s,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)),s=r.Z.isFunction(t)?function(){return 2*Math.PI-t()}:function(){return 2*Math.PI-t},i=this.board.create("transform",[s,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.hasFixedAngle=!0),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.hasFixedAngle=!1,this},n.setParents(p)),r.Z.exists(n.visProp.text)&&n.label.setText(r.Z.evaluate(n.visProp.text)),n.elType="angle",n.type=i.Z.OBJECT_TYPE_ANGLE,n.subs={},n.updateDataArraySquare=function(){var t,e,i,r,s,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,r=h.Z.distance(t,e,3),s=h.Z.distance(i,e,3),t=[1,e[1]+(t[1]-e[1])*c/r,e[2]+(t[2]-e[2])*c/r],i=[1,e[1]+(i[1]-e[1])*c/s,e[2]+(i[2]-e[2])*c/s],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=r.Z.evaluate(this.visProp.type),e=h.Z.trueAngle(this.point2,this.point1,this.point3),i=r.Z.evaluate(this.visProp.selection);("minor"===i&&e>180||"major"===i&&e<180)&&(e=360-e),Math.abs(e-90)<r.Z.evaluate(this.visProp.orthosensitivity)+o.Z.eps&&(t=r.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=r.Z.copyAttributes(s,t.options,"angle","dot"),n.dot=t.create("point",[function(){var t,e,i,s,a,l,c,d,u;return r.Z.exists(n.dot)&&!n.dot.visProp.visible?[0,0]:(t=n.point2.coords.usrCoords,e=n.point1.coords.usrCoords,i=n.Radius(),s=h.Z.distance(t,e,3),a=h.Z.rad(n.point2,n.point1,n.point3),("minor"===(u=r.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/s,e[2]+(t[2]-e[2])*i/s],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,s,a,l,c,d,p,f,_=12,m=r.Z.evaluate(n.visProp.selection),g=this.label?this.label.visProp:this.visProp.label;return r.Z.exists(this.label)&&r.Z.exists(this.label.visProp.fontsize)&&(_=r.Z.evaluate(this.label.visProp.fontsize)),_/=this.board.unitX,e=n.point2.coords.usrCoords,s=n.point1.coords.usrCoords,a=n.Radius(),l=h.Z.distance(e,s,3),c=h.Z.rad(n.point2,n.point1,n.point3),("minor"===m&&c>Math.PI||"major"===m&&c<Math.PI)&&(c=-(2*Math.PI-c)),c*=.5,d=Math.cos(c),p=Math.sin(c),e=[1,s[1]+(e[1]-s[1])*a/l,s[2]+(e[2]-s[2])*a/l],f=[[1,0,0],[s[1]-.5*s[1]*d+.5*s[2]*p,.5*d,.5*-p],[s[2]-.5*s[1]*p-.5*s[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,s,3),t=[t[0],s[1]+(t[1]-s[1])*(a+_)/l,s[2]+(t[2]-s[2])*(a+_)/l],g.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=r.Z.deepCopy(n.methodMap,{setAngle:"setAngle",Value:"Value",free:"free"}),n},t.Z.registerElement("angle",t.Z.createAngle),t.Z.createNonreflexAngle=function(e,i,s){var o;return s.selection="minor",s=r.Z.copyAttributes(s,e.options,"nonreflexangle"),(o=t.Z.createAngle(e,i,s)).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,s){var o;return s.selection="major",s=r.Z.copyAttributes(s,e.options,"reflexangle"),(o=t.Z.createAngle(e,i,s)).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,s){var o,n,a,l;if(e[0]=t.select(e[0]),e[1]=t.select(e[1]),r.Z.isPointType(t,e[0])&&e[1].elementClass===i.Z.OBJECT_CLASS_LINE)n=r.Z.providePoints(t,[e[0]],s,"point")[0],o=e[1];else{if(!r.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=r.Z.providePoints(t,[e[1]],s,"point")[0],o=e[0]}return l=r.Z.copyAttributes(s,t.options,"orthogonalprojection"),a=t.create("point",[function(){return h.Z.projectPointToLine(n,o,t)}],l),r.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,r=o.point2.symbolic.y,s=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+")*("+r+")-("+l+")*("+r+")","("+h+")*("+e+")-("+h+")*("+r+")-("+c+")*("+e+")+("+c+")*("+r+")+("+s+")*("+t+")-("+s+")*("+i+")-("+l+")*("+t+")+("+l+")*("+i+")"]},a},t.Z.createPerpendicular=function(e,s,o){var n,a,h,l;if(s[0]=e.select(s[0]),s[1]=e.select(s[1]),r.Z.isPointType(e,s[0])&&s[1].elementClass===i.Z.OBJECT_CLASS_LINE)a=s[1],n=r.Z.providePoints(e,[s[0]],o,"point")[0];else{if(!r.Z.isPointType(e,s[1])||s[0].elementClass!==i.Z.OBJECT_CLASS_LINE)throw new Error("JSXGraph: Can't create perpendicular with parent types '"+typeof s[0]+"' and '"+typeof s[1]+"'.\nPossible parent types: [line,point]");a=s[0],n=r.Z.providePoints(e,[s[1]],o,"point")[0]}return l=r.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]),r.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,s){var o,n,a;if(e[0]=t.select(e[0]),e[1]=t.select(e[1]),r.Z.isPointType(t,e[0])&&e[1].elementClass===i.Z.OBJECT_CLASS_LINE)n=r.Z.providePoints(t,[e[0]],s,"point")[0],o=e[1];else{if(!r.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=r.Z.providePoints(t,[e[1]],s,"point")[0],o=e[0]}return a=t.create("point",[function(){return h.Z.perpendicular(o,n,t)[0]}],s),r.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,r=o.point2.symbolic.y,s=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+")*("+r+")-("+l+")*("+r+")","("+h+")*("+e+")-("+h+")*("+r+")-("+c+")*("+e+")+("+c+")*("+r+")+("+s+")*("+t+")-("+s+")*("+i+")-("+l+")*("+t+")+("+l+")*("+i+")"]},a},t.Z.createPerpendicularSegment=function(e,s,o){var n,a,l,c,d;if(s[0]=e.select(s[0]),s[1]=e.select(s[1]),r.Z.isPointType(e,s[0])&&s[1].elementClass===i.Z.OBJECT_CLASS_LINE)a=s[1],n=r.Z.providePoints(e,[s[0]],o,"point")[0];else{if(!r.Z.isPointType(e,s[1])||s[0].elementClass!==i.Z.OBJECT_CLASS_LINE)throw new Error("JSXGraph: Can't create perpendicular with parent types '"+typeof s[0]+"' and '"+typeof s[1]+"'.\nPossible parent types: [line,point]");a=s[0],n=r.Z.providePoints(e,[s[1]],o,"point")[0]}return d=r.Z.copyAttributes(o,e.options,"perpendicularsegment","point"),(c=t.Z.createPerpendicularPoint(e,[a,n],d)).dump=!1,r.Z.exists(o.layer)||(o.layer=e.options.layer.line),d=r.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,r.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,s){var n,a,h,l,c;for(l=0;l<e.length;++l)e[l]=t.select(e[l]);if(2===e.length&&r.Z.isPointType(t,e[0])&&r.Z.isPointType(t,e[1]))e=r.Z.providePoints(t,e,s,"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=r.Z.copyAttributes(s,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),r.Z.exists(n._is_new)?(h.addChild(n),delete n._is_new):n.addChild(h),r.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,r=a.symbolic.y,s=h.symbolic.x,o=h.symbolic.y;return["("+e+")*("+s+")-("+e+")*("+i+")+("+o+")*("+i+")-("+t+")*("+o+")+("+t+")*("+r+")-("+s+")*("+r+")","("+t+")^2 - 2*("+t+")*("+s+")+("+e+")^2-2*("+e+")*("+o+")-("+i+")^2+2*("+i+")*("+s+")-("+r+")^2+2*("+r+")*("+o+")"]},h},t.Z.createParallelPoint=function(t,e,s){var o,n,a,h,l,c;for(l=0;l<e.length;++l)e[l]=t.select(e[l]);if(3===e.length&&r.Z.isPointType(t,e[0])&&r.Z.isPointType(t,e[1])&&r.Z.isPointType(t,e[2]))e=r.Z.providePoints(t,e,s,"point"),o=e[0],n=e[1],a=e[2];else if(r.Z.isPointType(t,e[0])&&e[1].elementClass===i.Z.OBJECT_CLASS_LINE)a=r.Z.providePoints(t,[e[0]],s,"point")[0],o=e[1].point1,n=e[1].point2;else{if(!r.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=r.Z.providePoints(t,[e[1]],s,"point")[0],o=e[0].point1,n=e[0].point2}return c=r.Z.copyAttributes(s,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),r.Z.exists(o._is_new)?(h.addChild(o),delete o._is_new):o.addChild(h),r.Z.exists(n._is_new)?(h.addChild(n),delete n._is_new):n.addChild(h),r.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,r=n.symbolic.y,s=a.symbolic.x,l=a.symbolic.y,c=h.symbolic.x,d=h.symbolic.y;return["("+r+")*("+c+")-("+r+")*("+s+")-("+e+")*("+c+")+("+e+")*("+s+")-("+d+")*("+i+")+("+d+")*("+t+")+("+l+")*("+i+")-("+l+")*("+t+")","("+d+")*("+t+")-("+d+")*("+s+")-("+r+")*("+t+")+("+r+")*("+s+")-("+c+")*("+e+")+("+c+")*("+l+")+("+i+")*("+e+")-("+i+")*("+l+")"]},h},t.Z.createParallel=function(t,e,i){var s,n,a,h,l,c,d=1;for(l=0;l<e.length;++l)e[l]=t.select(e[l]);return s=null,3===e.length?(s=(e=r.Z.providePoints(t,e,i,"point"))[2],d=0):r.Z.isPointType(t,e[0])?(s=r.Z.providePoints(t,[e[0]],i,"point")[0],h=function(){return e[1].stdform}):r.Z.isPointType(t,e[1])&&(s=r.Z.providePoints(t,[e[1]],i,"point")[0],h=function(){return e[0].stdform}),r.Z.exists(i.layer)||(i.layer=t.options.layer.line),c=r.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=r.Z.copyAttributes(i,t.options,"parallel"),(a=t.create("line",[s,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,s,o){var n,a;try{return!1===(a=r.Z.copyAttributes(o,e.options,"arrowparallel")).lastArrow&&(a.lastArrow=!0),(n=t.Z.createParallel(e,s,a).setAttribute({straightFirst:!1,straightLast:!1})).type=i.Z.OBJECT_TYPE_VECTOR,n.elType="arrowparallel",n}catch(t){throw new Error("JSXGraph: Can't create arrowparallel with parent types '"+typeof s[0]+"' and '"+typeof s[1]+"'.\nPossible parent types: [line,point], [point,point,point]")}},t.Z.createNormal=function(t,e,s){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(r.Z.isPointType(t,e[0]))n=r.Z.providePoints(t,[e[0]],s,"point")[0],a=e[1];else{if(!r.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=r.Z.providePoints(t,[e[1]],s,"point")[0]}}if(p=r.Z.copyAttributes(s,t.options,"normal"),a.elementClass===i.Z.OBJECT_CLASS_LINE)_=r.Z.copyAttributes(s,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"!==r.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,r,s,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)):(r=a.points[p].usrCoords,s=a.points[p+1].usrCoords,h=a.points[p+2].usrCoords,l=a.points[p+3].usrCoords,c=(1-i)*(1-i)*(s[1]-r[1])+2*(1-i)*i*(h[1]-s[1])+i*i*(l[1]-h[1]),d=(1-i)*(1-i)*(s[2]-r[2])+2*(1-i)*i*(h[2]-s[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,r,s,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,r=a.points[u+1].usrCoords,s=a.points[u+2].usrCoords,h=a.points[u+3].usrCoords,l=(1-e)*(1-e)*(r[1]-i[1])+2*(1-e)*e*(s[1]-r[1])+e*e*(h[1]-s[1]),c=(1-e)*(1-e)*(r[2]-i[2])+2*(1-e)*e*(s[2]-r[2])+e*e*(h[2]-s[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,r,s,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):(r=a.points[p].usrCoords,s=a.points[p+1].usrCoords,h=a.points[p+2].usrCoords,l=a.points[p+3].usrCoords,c=(1-i)*(1-i)*(s[1]-r[1])+2*(1-i)*i*(h[1]-s[1])+i*i*(l[1]-h[1]),d=(1-i)*(1-i)*(s[2]-r[2])+2*(1-i)*i*(h[2]-s[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,r=Math.floor(n.position),s=n.position-r;for(e=0;e<a.objects.length;e++)if((t=a.objects[e]).type===i.Z.OBJECT_TYPE_CURVE){if(r<t.numberPoints)break;r-=t.numberPoints}return r===t.numberPoints-1&&(r-=1,s=1),r<0?1:(t.Y(r)+s*(t.Y(r+1)-t.Y(r)))*(t.Y(r)-t.Y(r+1))-(t.X(r)+s*(t.X(r+1)-t.X(r)))*(t.X(r+1)-t.X(r))},function(){var t,e,r=Math.floor(n.position);for(e=0;e<a.objects.length;e++)if((t=a.objects[e]).type===i.Z.OBJECT_TYPE_CURVE){if(r<t.numberPoints)break;r-=t.numberPoints}return r===t.numberPoints-1&&(r-=1),r<0?0:t.X(r+1)-t.X(r)},function(){var t,e,r=Math.floor(n.position);for(e=0;e<a.objects.length;e++)if((t=a.objects[e]).type===i.Z.OBJECT_TYPE_CURVE){if(r<t.numberPoints)break;r-=t.numberPoints}return r===t.numberPoints-1&&(r-=1),r<0?0:t.Y(r+1)-t.Y(r)}],p)}return h.elType="normal",h.setParents(e),r.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,s){var o,n,a,l;if(i=r.Z.providePoints(e,i,s,"point"),r.Z.isPoint(i[0])&&r.Z.isPoint(i[1])&&r.Z.isPoint(i[2])){for((l=r.Z.copyAttributes(s,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++)r.Z.exists(i[a]._is_new)?(o.addChild(i[a]),delete i[a]._is_new):i[a].addChild(o);return r.Z.exists(s.layer)||(s.layer=e.options.layer.line),l=r.Z.copyAttributes(s,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,s){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 r.Z.exists(s.layer)||(s.layer=t.options.layer.line),h=r.Z.copyAttributes(s,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),r.Z.exists(s.layer)||(s.layer=t.options.layer.line),h=r.Z.copyAttributes(s,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 j({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,s){var o,n,a,l,c;if(i=r.Z.providePoints(e,i,s,"point"),r.Z.isPoint(i[0])&&r.Z.isPoint(i[1])&&r.Z.isPoint(i[2])){for(a=i[0],l=i[1],c=i[2],o=t.Z.createPoint(e,[function(){return h.Z.circumcenter(a,l,c,e)}],s),n=0;n<3;n++)r.Z.exists(i[n]._is_new)?(o.addChild(i[n]),delete i[n]._is_new):i[n].addChild(o);return o.elType="circumcenter",o.setParents(i),o.generatePolynomial=function(){var t=a.symbolic.x,e=a.symbolic.y,i=l.symbolic.x,r=l.symbolic.y,s=c.symbolic.x,n=c.symbolic.y,h=o.symbolic.x,d=o.symbolic.y;return[["((",h,")-(",t,"))^2+((",d,")-(",e,"))^2-((",h,")-(",i,"))^2-((",d,")-(",r,"))^2"].join(""),["((",h,")-(",t,"))^2+((",d,")-(",e,"))^2-((",h,")-(",s,"))^2-((",d,")-(",n,"))^2"].join("")]},o}throw new Error("JSXGraph: Can't create circumcircle midpoint with parent types '"+typeof i[0]+"', '"+typeof i[1]+"' and '"+typeof i[2]+"'.\nPossible parent types: [point,point,point]")},t.Z.createIncenter=function(t,e,s){var n,a,h,l,c;if(!((e=r.Z.providePoints(t,e,s,"point")).length>=3&&r.Z.isPoint(e[0])&&r.Z.isPoint(e[1])&&r.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,r,s;return e=o.Z.hypot(h.X()-l.X(),h.Y()-l.Y()),r=o.Z.hypot(a.X()-l.X(),a.Y()-l.Y()),s=o.Z.hypot(h.X()-a.X(),h.Y()-a.Y()),new u.Z(i.Z.COORDS_BY_USER,[(e*a.X()+r*h.X()+s*l.X())/(e+r+s),(e*a.Y()+r*h.Y()+s*l.Y())/(e+r+s)],t)}],s),c=0;c<3;c++)r.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,s){var o,n,a,h;if(!1===(i=r.Z.providePoints(e,i,s,"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=r.Z.copyAttributes(s,e.options,"circumcircle","center"),(o=t.Z.createCircumcenter(e,i,a)).dump=!1,r.Z.exists(s.layer)||(s.layer=e.options.layer.circle),a=r.Z.copyAttributes(s,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++)r.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,s){var n,a,h,l;if(!1===(i=r.Z.providePoints(e,i,s,"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=r.Z.copyAttributes(s,e.options,"incircle","center"),(a=t.Z.createIncenter(e,i,l)).dump=!1,r.Z.exists(s.layer)||(s.layer=e.options.layer.circle),l=r.Z.copyAttributes(s,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()),r=o.Z.hypot(i[1].X()-i[0].X(),i[1].Y()-i[0].Y()),s=(t+e+r)/2;return Math.sqrt((s-t)*(s-e)*(s-r)/s)}],l)).elType="incircle",h.setParents(i),n=0;n<3;n++)r.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,s,o){var n,a,h,l,c,d,u,p,f="\nPossible parent types: [point|line|curve|polygon|circle|arc|sector, line]";for(d=0;d<s.length;++d)s[d]=e.select(s[d]);if(u=r.Z.copyAttributes(o,e.options,"reflection"),r.Z.isPoint(s[0]))a=r.Z.providePoints(e,[s[0]],p)[0];else{if(s[0].elementClass!==i.Z.OBJECT_CLASS_CURVE&&s[0].elementClass!==i.Z.OBJECT_CLASS_LINE&&s[0].type!==i.Z.OBJECT_TYPE_POLYGON&&s[0].elementClass!==i.Z.OBJECT_CLASS_CIRCLE)throw new Error("JSXGraph: Can't create reflection element with parent types '"+typeof s[0]+"' and '"+typeof s[1]+"'."+f);a=s[0]}if(s[1].elementClass!==i.Z.OBJECT_CLASS_LINE)throw new Error("JSXGraph: Can't create reflected element with parent types '"+typeof s[0]+"' and '"+typeof s[1]+"'."+f);if(n=s[1],c=t.Z.createTransform(e,[n],{type:"reflect"}),r.Z.isPoint(a))h=t.Z.createPoint(e,[a,c],u);else if(a.elementClass===i.Z.OBJECT_CLASS_CURVE)h=t.Z.createCurve(e,[a,c],u);else if(a.elementClass===i.Z.OBJECT_CLASS_LINE)h=t.Z.createLine(e,[a,c],u);else if(a.type===i.Z.OBJECT_TYPE_POLYGON)h=t.Z.createPolygon(e,[a,c],u);else{if(a.elementClass!==i.Z.OBJECT_CLASS_CIRCLE)throw new Error("JSXGraph: Can't create reflected element with parent types '"+typeof s[0]+"' and '"+typeof s[1]+"'."+f);"euclidean"===u.type.toLowerCase()?(p=r.Z.copyAttributes(o,e.options,"reflection","center"),(l=t.Z.createPoint(e,[a.center,c],p)).prepareUpdate().update().updateVisibility(r.Z.evaluate(l.visProp.visible)).updateRenderer(),h=t.Z.createCircle(e,[l,function(){return a.Radius()}],u)):h=t.Z.createCircle(e,[a,c],u)}return r.Z.exists(a._is_new)&&(h.addChild(a),delete a._is_new),n.addChild(h),h.elType="reflection",h.addParents(n),h.prepareUpdate().update(),r.Z.isPoint(h)&&(h.generatePolynomial=function(){var t=n.point1.symbolic.x,e=n.point1.symbolic.y,i=n.point2.symbolic.x,r=n.point2.symbolic.y,s=a.symbolic.x,o=a.symbolic.y,l=h.symbolic.x,c=h.symbolic.y;return[["((",c,")-(",o,"))*((",e,")-(",r,"))+((",t,")-(",i,"))*((",l,")-(",s,"))"].join(""),["((",l,")-(",t,"))^2+((",c,")-(",e,"))^2-((",s,")-(",t,"))^2-((",o,")-(",e,"))^2"].join("")]}),h},t.Z.createMirrorElement=function(e,s,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<s.length;++a)s[a]=e.select(s[a]);if(u=r.Z.copyAttributes(o,e.options,"mirrorelement"),r.Z.isPoint(s[0]))n=r.Z.providePoints(e,[s[0]],u)[0];else{if(s[0].elementClass!==i.Z.OBJECT_CLASS_CURVE&&s[0].elementClass!==i.Z.OBJECT_CLASS_LINE&&s[0].type!==i.Z.OBJECT_TYPE_POLYGON&&s[0].elementClass!==i.Z.OBJECT_CLASS_CIRCLE)throw new Error("JSXGraph: Can't create mirror element with parent types '"+typeof s[0]+"' and '"+typeof s[1]+"'."+f);n=s[0]}if(!r.Z.isPoint(s[1]))throw new Error("JSXGraph: Can't create mirror element with parent types '"+typeof s[0]+"' and '"+typeof s[1]+"'."+f);if(p=r.Z.copyAttributes(o,e.options,"mirrorelement","point"),h=r.Z.providePoints(e,[s[1]],p)[0],d=t.Z.createTransform(e,[Math.PI,h],{type:"rotate"}),r.Z.isPoint(n))l=t.Z.createPoint(e,[n,d],u);else if(n.elementClass===i.Z.OBJECT_CLASS_CURVE)l=t.Z.createCurve(e,[n,d],u);else if(n.elementClass===i.Z.OBJECT_CLASS_LINE)l=t.Z.createLine(e,[n,d],u);else if(n.type===i.Z.OBJECT_TYPE_POLYGON)l=t.Z.createPolygon(e,[n,d],u);else{if(n.elementClass!==i.Z.OBJECT_CLASS_CIRCLE)throw new Error("JSXGraph: Can't create mirror element with parent types '"+typeof s[0]+"' and '"+typeof s[1]+"'."+f);"euclidean"===u.type.toLowerCase()?(p=r.Z.copyAttributes(o,e.options,"mirrorelement","center"),(c=t.Z.createPoint(e,[n.center,d],p)).prepareUpdate().update().updateVisibility(r.Z.evaluate(c.visProp.visible)).updateRenderer(),l=t.Z.createCircle(e,[c,function(){return n.Radius()}],u)):l=t.Z.createCircle(e,[n,d],u)}return r.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,r){var s=t.Z.createMirrorElement(e,i,r);return s.elType="mirrorpoint",s},t.Z.createIntegral=function(e,s,o){var n,a,h,l,c,p,f,_,m,g,b,v,Z,C,y,P=null;if(r.Z.isArray(s[0])&&s[1].elementClass===i.Z.OBJECT_CLASS_CURVE)n=s[0],a=s[1];else{if(!r.Z.isArray(s[1])||s[0].elementClass!==i.Z.OBJECT_CLASS_CURVE)throw new Error("JSXGraph: Can't create integral with parent types '"+typeof s[0]+"' and '"+typeof s[1]+"'.\nPossible parent types: [[number|function,number|function],curve]");n=s[1],a=s[0]}return(h=r.Z.copyAttributes(o,e.options,"integral")).withLabel=!1,y=e.create("curve",[[0],[0]],h),l=n[0],c=n[1],r.Z.isFunction(l)?(f=function(){return a.Y(p())},l=(p=l)()):(p=l,f=a.Y(l)),r.Z.isFunction(c)?(m=function(){return a.Y(_())},c=(_=c)()):(_=c,m=a.Y(c)),h=r.Z.copyAttributes(o,e.options,"integral","curveLeft"),g=e.create("glider",[p,f,a],h),r.Z.isFunction(p)&&g.hideElement(),h=r.Z.copyAttributes(o,e.options,"integral","baseLeft"),b=e.create("point",[function(){return"y"===r.Z.evaluate(y.visProp.axis)?0:g.X()},function(){return"y"===r.Z.evaluate(y.visProp.axis)?g.Y():0}],h),h=r.Z.copyAttributes(o,e.options,"integral","curveRight"),v=e.create("glider",[_,m,a],h),r.Z.isFunction(_)&&v.hideElement(),h=r.Z.copyAttributes(o,e.options,"integral","baseRight"),Z=e.create("point",[function(){return"y"===r.Z.evaluate(y.visProp.axis)?0:v.X()},function(){return"y"===r.Z.evaluate(y.visProp.axis)?v.Y():0}],h),!1!==(h=r.Z.copyAttributes(o,e.options,"integral")).withlabel&&"y"!==h.axis&&(h=r.Z.copyAttributes(o,e.options,"integral","label"),h=r.Z.copyAttributes(h,e.options,"label"),C=function(){var t=d.Z.NewtonCotes([b.X(),Z.X()],a.Y),e=r.Z.evaluate(P.visProp.digits);return"&int; = 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t,e,i,s,o,n,h,l,c;if("y"===r.Z.evaluate(this.visProp.axis)){for(g.Y()<v.Y()?(n=g.X(),l=g.Y(),h=v.X(),c=v.Y()):(n=v.X(),l=v.Y(),h=g.X(),c=g.Y()),s=Math.min(n,h),o=Math.max(n,h),t=[0,n],e=[l,l],i=0;i<a.numberPoints;i++)l<=a.points[i].usrCoords[2]&&s<=a.points[i].usrCoords[1]&&a.points[i].usrCoords[2]<=c&&a.points[i].usrCoords[1]<=o&&(t.push(a.points[i].usrCoords[1]),e.push(a.points[i].usrCoords[2]));t.push(h),e.push(c),t.push(0),e.push(c),t.push(0),e.push(l)}else{for(b.X()<Z.X()?(s=b.X(),o=Z.X()):(s=Z.X(),o=b.X()),t=[s,s],e=[0,a.Y(s)],i=0;i<a.numberPoints;i++)s<=a.points[i].usrCoords[1]&&a.points[i].usrCoords[1]<=o&&(t.push(a.points[i].usrCoords[1]),e.push(a.points[i].usrCoords[2]));t.push(o),e.push(a.Y(o)),t.push(o),e.push(0),t.push(s),e.push(0)}this.dataX=t,this.dataY=e},g.addChild(y),v.addChild(y),b.addChild(y),Z.addChild(y),y.baseLeft=b,y.baseRight=Z,y.curveLeft=g,y.curveRight=v,y.methodMap=t.Z.deepCopy(y.methodMap,{curveLeft:"curveLeft",baseLeft:"baseLeft",curveRight:"curveRight",baseRight:"baseRight",Value:"Value"}),y.label=P,y},t.Z.createInequality=function(t,e,s){var n,a,l;if(l=r.Z.copyAttributes(s,t.options,"inequality"),e[0].elementClass===i.Z.OBJECT_CLASS_LINE)(a=t.create("curve",[[],[]],l)).hasPoint=function(){return!1},a.updateDataArray=function(){var s,n,a,l=t.getBoundingBox(),c=r.Z.evaluate(this.visProp.inverse),d=c?-1:1,u=1.5*Math.max(l[2]-l[0],l[1]-l[3]),p={coords:{usrCoords:[1,.5*(l[0]+l[2]),c?l[1]:l[3]]}},f=e[0].stdform.slice(1),_=f;a=1.5*Math.max(h.Z.perpendicular(e[0],p,t)[0].distance(i.Z.COORDS_BY_USER,p.coords),u),a*=d,p={coords:{usrCoords:[1,.5*(l[0]+l[2]),.5*(l[1]+l[3])]}},s=[1,(p=Math.abs(o.Z.innerProduct(p.coords.usrCoords,e[0].stdform,3))>=o.Z.eps?h.Z.perpendicular(e[0],p,t)[0].usrCoords:p.coords.usrCoords)[1]+f[1]*u,p[2]-f[0]*u],n=[1,p[1]-_[1]*u,p[2]+_[0]*u],this.dataX=[s[1],s[1]+f[0]*a,n[1]+_[0]*a,n[1],s[1]],this.dataY=[s[2],s[2]+f[1]*a,n[2]+_[1]*a,n[2],s[2]]};else if(e[0].elementClass===i.Z.OBJECT_CLASS_CURVE&&"functiongraph"===e[0].visProp.curvetype)(a=t.create("curve",[[],[]],l)).updateDataArray=function(){var t,i,s,o,n,a,h,l,c,d=this.board.getBoundingBox(),u=[],p=e[0].minX(),f=e[0].maxX(),_=.3*(d[1]-d[3]);if(t=r.Z.evaluate(this.visProp.inverse)?1:3,this.dataX=[],this.dataY=[],0!==(o=e[0].points.length))for(d[1]+=_,d[3]-=_,s=-1;s<o-1;){for(n=s+1,i=o;n<o;n++)if(e[0].points[n].isReal()){i=n;break}if(i>=o)break;for(n=i,s=o-1;n<o-1;n++)if(!e[0].points[n+1].isReal()){s=n;break}for(l=e[0].points[i].usrCoords[1],c=e[0].points[s].usrCoords[1],a=d[0]<p?p:d[0],h=d[2]>f?f:d[2],a=0===i?a:Math.max(a,l),h=s===o-1?h:Math.min(h,c),h=s===o-1?f:c,(u=[]).push([1,a=0===i?p:l,d[t]]),u.push([1,a,e[0].points[i].usrCoords[2]]),n=i;n<=s;n++)u.push(e[0].points[n].usrCoords);for(u.push([1,h,e[0].points[s].usrCoords[2]]),u.push([1,h,d[t]]),u.push(u[0]),n=0;n<u.length;n++)this.dataX.push(u[n][1]),this.dataY.push(u[n][2]);s<o-1&&(this.dataX.push(NaN),this.dataY.push(NaN))}},a.hasPoint=function(){return!1};else if(n=r.Z.createFunction(e[0]),a.addParentsFromJCFunctions([n]),!r.Z.exists(n))throw new Error("JSXGraph: Can't create area with the given parents.\nPossible parent types: [line], [function]");return a.addParents(e[0]),a},t.Z.registerElement("arrowparallel",t.Z.createArrowParallel),t.Z.registerElement("bisector",t.Z.createBisector),t.Z.registerElement("bisectorlines",t.Z.createAngularBisectorsOfTwoLines),t.Z.registerElement("msector",t.Z.createMsector),t.Z.registerElement("circumcircle",t.Z.createCircumcircle),t.Z.registerElement("circumcirclemidpoint",t.Z.createCircumcenter),t.Z.registerElement("circumcenter",t.Z.createCircumcenter),t.Z.registerElement("incenter",t.Z.createIncenter),t.Z.registerElement("incircle",t.Z.createIncircle),t.Z.registerElement("integral",t.Z.createIntegral),t.Z.registerElement("midpoint",t.Z.createMidpoint),t.Z.registerElement("mirrorelement",t.Z.createMirrorElement),t.Z.registerElement("mirrorpoint",t.Z.createMirrorPoint),t.Z.registerElement("normal",t.Z.createNormal),t.Z.registerElement("orthogonalprojection",t.Z.createOrthogonalProjection),t.Z.registerElement("parallel",t.Z.createParallel),t.Z.registerElement("parallelpoint",t.Z.createParallelPoint),t.Z.registerElement("perpendicular",t.Z.createPerpendicular),t.Z.registerElement("perpendicularpoint",t.Z.createPerpendicularPoint),t.Z.registerElement("perpendicularsegment",t.Z.createPerpendicularSegment),t.Z.registerElement("reflection",t.Z.createReflection),t.Z.registerElement("inequality",t.Z.createInequality),t.Z.createGrid=function(e,s,n){const 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Possible parent types: [axis,axis]");return!r.Z.exists(d[0])&&r.Z.exists(e.defaultAxes)&&(d[0]=e.defaultAxes.x),!r.Z.exists(d[1])&&r.Z.exists(e.defaultAxes)&&(d[1]=e.defaultAxes.y),m=function(t,e,i,s,o,n,a){var h,l,c,d,u,p,f;switch(t.toLowerCase()){case".":case"point":return e.visProp.linecap="round",e.visProp.strokewidth=o*e.board.unitX+n*e.board.unitY,[[i,i,NaN],[s,s,NaN]];case"o":case"circle":return e.visProp.linecap="square",e.bezierDegree=3,[[i+o,i+o,i+(l=4*Math.tan(Math.PI/8)/3)*o,i,i-l*o,i-o,i-o,i-o,i-l*o,i,i+l*o,i+o,i+o,NaN],[s,s+l*n,s+n,s+n,s+n,s+l*n,s,s-l*n,s-n,s-n,s-n,s-l*n,s,NaN]];case"regpol":case"regularpolygon":for(e.visProp.linecap="round",d=r.Z.evaluate(e.visProp.polygonvertices),u=[[],[]],h=0;h<=2*Math.PI;h+=2*Math.PI/d)u[0].push(i-o*Math.sin(h)),u[1].push(s-n*Math.cos(h));return u[0].push(NaN),u[1].push(NaN),u;case"[]":case"square":return e.visProp.linecap="square",[[i-o,i+o,i+o,i-o,i-o,NaN],[s+n,s+n,s-n,s-n,s+n,NaN]];case"<>":case"diamond":return e.visProp.linecap="square",[[i,i+o,i,i-o,i,NaN],[s+n,s,s-n,s,s+n,NaN]];case"<<>>":case"diamond2":return e.visProp.linecap="square",[[i,i+(p=o*Math.sqrt(2)),i,i-p,i,NaN],[s+(f=n*Math.sqrt(2)),s,s-f,s,s+f,NaN]];case"x":case"cross":return[[i-o,i+o,NaN,i-o,i+o,NaN],[s+n,s-n,NaN,s-n,s+n,NaN]];case"+":case"plus":return[[i-o,i+o,NaN,i,i,NaN],[s,s,NaN,s-n,s+n,NaN]];case"-":case"minus":return[[i-o,i+o,NaN],[s,s,NaN]];case"|":case"divide":return[[i,i,NaN],[s-n,s+n,NaN]];case"^":case"a":case"A":case"triangleup":return[[i-o,i,i+o,NaN],[s-n,s,s-n,NaN]];case"v":case"triangledown":return[[i-o,i,i+o,NaN],[s+n,s,s+n,NaN]];case"<":case"triangleleft":return[[i+o,i,i+o,NaN],[s+n,s,s-n,NaN]];case">":case"triangleright":return[[i-o,i,i-o,NaN],[s+n,s,s-n,NaN]];case"line":return c=r.Z.evaluate(e.visProp.margin),[[i,i,NaN,a[0]-c/e.board.unitX,a[2]+c/e.board.unitX,NaN],[a[1]+c/e.board.unitY,a[3]-c/e.board.unitY,NaN,s,s,NaN]];default:return[[],[]]}},u=r.Z.copyAttributes(n,e.options,"grid"),r.Z.mergeAttr(u,u.themes[u.theme],!1),p={},r.Z.mergeAttr(p,u,!0,!0),r.Z.mergeAttr(p,u.major,!0,!0),(l=e.create("curve",[[null],[null]],p)).elType="grid",l.type=i.Z.OBJECT_TYPE_GRID,f={},r.Z.mergeAttr(f,u,!0,!0),r.Z.mergeAttr(f,u.minor,!0,!0),f.id===p.id&&(f.id=l.id+"_minor"),f.name===p.name&&(f.name=l.name+"_minor"),(c=e.create("curve",[[null],[null]],f)).elType="grid",c.type=i.Z.OBJECT_TYPE_GRID,l.minorGrid=c,c.majorGrid=l,l.hasPoint=function(){return!1},c.hasPoint=function(){return!1},l.inherits.push(c),l.updateDataArray=function(){var e,i,s,n,c,u,p,f,v=this.board.getBoundingBox(),Z=r.Z.evaluate(this.visProp.gridx),C=r.Z.evaluate(this.visProp.gridy),y=r.Z.evaluate(this.visProp.face),P=r.Z.evaluate(this.visProp.drawzero),E=!0===P||r.Z.isObject(P)&&!0===r.Z.evaluate(P.origin),O=!0===P||r.Z.isObject(P)&&!0===r.Z.evaluate(P.x),x=!0===P||r.Z.isObject(P)&&!0===r.Z.evaluate(P.y),S=r.Z.evaluate(this.visProp.includeboundaries),M=r.Z.evaluate(this.visProp.forcesquare);if(this.dataX=[],this.dataY=[],_=r.Z.evaluate(this.visProp.majorstep),r.Z.isArray(_)||(_=[_,_]),_.length<2&&(_=[_[0],_[0]]),r.Z.exists(Z)&&(t.Z.deprecated("gridX","majorStep"),_[0]=Z),r.Z.exists(C)&&(t.Z.deprecated("gridY","majorStep"),_[1]=C),"auto"===_[0]?(f=Math.pow(10,Math.floor(Math.log(50/this.board.unitX)/Math.LN10)),_[0]=f,r.Z.exists(d[0])&&(_[0]=d[0].ticks[0].getDistanceMajorTicks())):_[0]=r.Z.parseNumber(_[0],Math.abs(v[1]-v[3]),1/this.board.unitX),"auto"===_[1]?(f=Math.pow(10,Math.floor(Math.log(50/this.board.unitY)/Math.LN10)),_[1]=f,r.Z.exists(d[1])&&(_[1]=d[1].ticks[0].getDistanceMajorTicks())):_[1]=r.Z.parseNumber(_[1],Math.abs(v[0]-v[2]),1/this.board.unitY),"min"===M||!0===M?_[0]*this.board.unitX<=_[1]*this.board.unitY?_[1]=_[0]/this.board.unitY*this.board.unitX:_[0]=_[1]/this.board.unitX*this.board.unitY:"max"===M&&(_[0]*this.board.unitX<=_[1]*this.board.unitY?_[0]=_[1]/this.board.unitX*this.board.unitY:_[1]=_[0]/this.board.unitY*this.board.unitX),g=r.Z.evaluate(this.visProp.size),r.Z.isArray(g)||(g=[g,g]),g.length<2&&(g=[g[0],g[0]]),r.Z.isNumber(g[0],!0)&&(g[0]=g[0]+"px"),r.Z.isNumber(g[1],!0)&&(g[1]=g[1]+"px"),g[0]=r.Z.parseNumber(g[0],_[0],1/this.board.unitX),g[1]=r.Z.parseNumber(g[1],_[1],1/this.board.unitY),b[0]=g[0]/2,b[1]=g[1]/2,e=o.Z.roundToStep(v[0],_[0]),i=o.Z.roundToStep(v[1],_[1]),p=isFinite(e)&&isFinite(i)&&isFinite(v[2])&&isFinite(v[3])&&Math.abs(v[2])<Math.abs(_[0]*h)&&Math.abs(v[3])<Math.abs(_[1]*h),"line"===y.toLowerCase()){for(c=r.Z.evaluate(l.visProp.margin),n=i;p&&n>=v[3];n-=_[1])!E&&Math.abs(n)<a||!x&&Math.abs(n)<a||!S&&(n<=v[3]+b[1]||n>=v[1]-b[1])||(u=[[v[0]-c/l.board.unitX,v[2]+c/l.board.unitX,NaN],[n,n,NaN]],r.Z.concat(this.dataX,u[0]),r.Z.concat(this.dataY,u[1]));for(s=e;p&&s<=v[2];s+=_[0])!E&&Math.abs(s)<a||!O&&Math.abs(s)<a||!S&&(s<=v[0]+b[0]||s>=v[2]-b[0])||(u=[[s,s,NaN],[v[1]+c/l.board.unitY,v[3]-c/l.board.unitY,NaN]],r.Z.concat(this.dataX,u[0]),r.Z.concat(this.dataY,u[1]))}else for(n=i;p&&n>=v[3];n-=_[1])for(s=e;p&&s<=v[2];s+=_[0])!E&&Math.abs(n)<a&&Math.abs(s)<a||!O&&Math.abs(n)<a&&Math.abs(s)>=a||!x&&Math.abs(s)<a&&Math.abs(n)>=a||!S&&(s<=v[0]+b[0]||s>=v[2]-b[0]||n<=v[3]+b[1]||n>=v[1]-b[1])||(u=m(y,l,s,n,b[0],b[1],v),r.Z.concat(this.dataX,u[0]),r.Z.concat(this.dataY,u[1]))},c.updateDataArray=function(){var t,e,i,s,n,l,u,p,f,g,v,Z,C,y,P,E,O,x,S,M=this.board.getBoundingBox(),w=[],T=[],N=r.Z.evaluate(this.visProp.minorelements),A=r.Z.evaluate(this.visProp.size),D=r.Z.evaluate(this.visProp.face),k=r.Z.evaluate(this.visProp.drawzero),R=!0===k||r.Z.isObject(k)&&!0===r.Z.evaluate(k.x),L=!0===k||r.Z.isObject(k)&&!0===r.Z.evaluate(k.y),B=r.Z.evaluate(this.majorGrid.visProp.face),I=r.Z.evaluate(this.majorGrid.visProp.drawzero),Y=!0===I||r.Z.isObject(I)&&!0===r.Z.evaluate(I.origin),j=!0===I||r.Z.isObject(I)&&!0===r.Z.evaluate(I.x),X=!0===I||r.Z.isObject(I)&&!0===r.Z.evaluate(I.y),U=r.Z.evaluate(this.visProp.includeboundaries);if(this.dataX=[],this.dataY=[],r.Z.isArray(N)||(N=[N,N]),N.length<2&&(N=[N[0],N[0]]),r.Z.isNumber(N[0],!0)?N[0]=parseFloat(N[0]):(N[0]=3,r.Z.exists(d[0])&&(N[0]=r.Z.evaluate(d[0].getAttribute("ticks").minorticks))),w[0]=_[0]/(N[0]+1),r.Z.isNumber(N[1],!0)?N[1]=parseFloat(N[1]):(N[1]=3,r.Z.exists(d[1])&&(N[1]=r.Z.evaluate(d[1].getAttribute("ticks").minorticks))),w[1]=_[1]/(N[1]+1),r.Z.isArray(A)||(A=[A,A]),A.length<2&&(A=[A[0],A[0]]),r.Z.isNumber(A[0],!0)&&(A[0]=A[0]+"px"),r.Z.isNumber(A[1],!0)&&(A[1]=A[1]+"px"),A[0]=r.Z.parseNumber(A[0],w[0],1/this.board.unitX),A[1]=r.Z.parseNumber(A[1],w[1],1/this.board.unitY),T[0]=.5*A[0],T[1]=.5*A[1],t=o.Z.roundToStep(M[0],w[0]),e=o.Z.roundToStep(M[1],w[1]),u=isFinite(t)&&isFinite(e)&&isFinite(M[2])&&isFinite(M[3])&&Math.abs(M[2])<=Math.abs(w[0]*h)&&Math.abs(M[3])<Math.abs(w[1]*h),"line"!==D.toLowerCase())for(s=e;u&&s>=M[3];s-=w[1])for(i=t;u&&i<=M[2];i+=w[0]){if(p=o.Z.roundToStep(Math.abs(i),_[0]),p=Math.abs(p-Math.abs(i)),f=_[0]-p,g=o.Z.roundToStep(Math.abs(s),_[1]),g=Math.abs(g-Math.abs(s)),v=_[1]-g,"line"===B){if(p-T[0]-b[0]<a||f-T[0]-b[0]<a||g-T[1]-b[1]<a||v-T[1]-b[1]<a)continue}else if((p-T[0]-b[0]<a||f-T[0]-b[0]<a)&&(g-T[1]-b[1]<a||v-T[1]-b[1]<a)&&(Y||b[1]-Math.abs(s)+T[1]<a||b[0]-Math.abs(i)+T[0]<a)&&(j||b[1]-Math.abs(s)+T[1]<a||b[0]+Math.abs(i)-T[0]<a)&&(X||b[0]-Math.abs(i)+T[0]<a||b[1]+Math.abs(s)-T[1]<a))continue;!L&&Math.abs(i)<a||!R&&Math.abs(s)<a||(Z=Math.abs(M[0]%_[0]),C=Math.abs(M[1]%_[1]),y=Math.abs(M[2]%_[0]),P=Math.abs(M[3]%_[1]),E=_[0]-Z,O=_[1]-C,x=_[0]-y,S=_[1]-P,!U&&(i-T[0]-M[0]-b[0]+E<a&&E-b[0]<a||i-T[0]-M[0]-b[0]-Z<a&&Z-b[0]<a||-i-T[0]+M[2]-b[0]+x<a&&x-b[0]<a||-i-T[0]+M[2]-b[0]-y<a&&y-b[0]<a||-s-T[1]+M[1]-b[1]+O<a&&O-b[1]<a||-s-T[1]+M[1]-b[1]-C<a&&C-b[1]<a||s-T[1]-M[3]-b[1]+S<a&&S-b[1]<a||s-T[1]-M[3]-b[1]-P<a&&P-b[1]<a||-s-T[1]+M[1]<a||i-T[0]-M[0]<a||s-T[1]-M[3]<a||-i-T[0]+M[2]<a)||(l=m(D,c,i,s,T[0],T[1],M),r.Z.concat(this.dataX,l[0]),r.Z.concat(this.dataY,l[1])))}else{for(n=r.Z.evaluate(c.visProp.margin),s=e;u&&s>=M[3];s-=w[1]){if(g=o.Z.roundToStep(Math.abs(s),_[1]),g=Math.abs(g-Math.abs(s)),v=_[1]-g,"line"===B){if(g-T[1]-b[1]<a||v-T[1]-b[1]<a)continue}else if((g-T[1]-b[1]<a||v-T[1]-b[1]<a)&&(Y||b[1]-Math.abs(s)+T[1]<a)&&(j||b[1]-Math.abs(s)+T[1]<a)&&(X||b[1]+Math.abs(s)-T[1]<a))continue;!R&&Math.abs(s)<a||(Z=Math.abs(M[0]%_[0]),C=Math.abs(M[1]%_[1]),y=Math.abs(M[2]%_[0]),P=Math.abs(M[3]%_[1]),E=_[0]-Z,O=_[1]-C,x=_[0]-y,S=_[1]-P,!U&&(-s-T[1]+M[1]-b[1]+O<a&&O-b[1]<a||-s-T[1]+M[1]-b[1]-C<a&&C-b[1]<a||s-T[1]-M[3]-b[1]+S<a&&S-b[1]<a||s-T[1]-M[3]-b[1]-P<a&&P-b[1]<a||-s-T[1]+M[1]<a||s-T[1]-M[3]<a)||(l=[[M[0]-n/c.board.unitX,M[2]+n/c.board.unitX,NaN],[s,s,NaN]],r.Z.concat(this.dataX,l[0]),r.Z.concat(this.dataY,l[1])))}for(i=t;u&&i<=M[2];i+=w[0]){if(p=o.Z.roundToStep(Math.abs(i),_[0]),p=Math.abs(p-Math.abs(i)),f=_[0]-p,"line"===B){if(p-T[0]-b[0]<a||f-T[0]-b[0]<a)continue}else if((p-T[0]-b[0]<a||f-T[0]-b[0]<a)&&(Y||b[0]-Math.abs(i)+T[0]<a)&&(j||b[0]+Math.abs(i)-T[0]<a)&&(X||b[0]-Math.abs(i)+T[0]<a))continue;!L&&Math.abs(i)<a||(Z=Math.abs(M[0]%_[0]),C=Math.abs(M[1]%_[1]),y=Math.abs(M[2]%_[0]),P=Math.abs(M[3]%_[1]),E=_[0]-Z,O=_[1]-C,x=_[0]-y,S=_[1]-P,!U&&(i-T[0]-M[0]-b[0]+E<a&&E-b[0]<a||i-T[0]-M[0]-b[0]-Z<a&&Z-b[0]<a||-i-T[0]+M[2]-b[0]+x<a&&x-b[0]<a||-i-T[0]+M[2]-b[0]-y<a&&y-b[0]<a||i-T[0]-M[0]<a||-i-T[0]+M[2]<a)||(l=[[i,i,NaN],[M[1]+n/c.board.unitY,M[3]-n/c.board.unitY,NaN]],r.Z.concat(this.dataX,l[0]),r.Z.concat(this.dataY,l[1])))}}},e.grids.push(l),e.grids.push(c),l},t.Z.registerElement("grid",t.Z.createGrid),t.Z.createLocus=function(t,e,i){var s,o;if(!r.Z.isArray(e)||1!==e.length||!r.Z.isPoint(e[0]))throw new Error("JSXGraph: Can't create locus with parent of type other than point.\nPossible parent types: [point]");return o=e[0],(s=t.create("curve",[[null],[null]],i)).dontCallServer=!1,s.elType="locus",s.setParents([o.id]),s.updateDataArray=function(){var e,i,r;s.board.mode>0||(e=N.generatePolynomials(t,o,!0).join("|"))!==s.spe&&(s.spe=e,i=function(t,e,i,r){var o;s.dataX=t,s.dataY=e,s.eq=i,s.ctime=r,s.generatePolynomial=(o=i,function(t){var e,i="("+t.symbolic.x+")",r="("+t.symbolic.y+")",s=[];for(e=0;e<o.length;e++)s[e]=o[e].replace(/\*\*/g,"^").replace(/x/g,i).replace(/y/g,r);return 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H.Z,r.Z.copyPrototypeMethods(t.Z.Image,V.Z,"coordsConstructor"),t.Z.extend(t.Z.Image.prototype,{hasPoint:function(t,e){var s,n,a,h,l,c,d,p,f,_=this.transformations.length;return r.Z.isObject(r.Z.evaluate(this.visProp.precision))?(h=this.board._inputDevice,l=r.Z.evaluate(this.visProp.precision[h])):l=this.board.options.precision.hasPoint,0===_?(s=t-this.coords.scrCoords[1],n=this.coords.scrCoords[2]-e,s>=-(a=l)&&s-this.size[0]<=a&&n>=-a&&n-this.size[1]<=a):(d=[(c=(c=new u.Z(i.Z.COORDS_BY_SCREEN,[t,e],this.board)).usrCoords)[0]-this.span[0][0],c[1]-this.span[0][1],c[2]-this.span[0][2]],0<=(p=(f=o.Z.innerProduct)(d,this.span[1]))&&p<=f(this.span[1],this.span[1])&&0<=(p=f(d,this.span[2]))&&p<=f(this.span[2],this.span[2]))},update:function(t){return this.needsUpdate?(this.updateCoords(t),this.updateSize(),this.updateSpan(),this):this},updateRenderer:function(){return this.updateRendererGeneric("updateImage")},updateSize:function(){return 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t.X()>=0?"left":"right"}}(n))):(m[0]=t.create("point",[h,0],b),m[1]=t.create("point",[h,d],b),m[2]=t.create("point",[c,d],b),m[3]=t.create("point",[c,0],b),r.Z.exists(p.labels)&&r.Z.exists(p.labels[o])&&(f.anchorX="middle",(n=t.create("text",[l,d,p.labels[o]],f)).visProp.anchory=function(t){return function(){return t.Y()>=0?"bottom":"top"}}(n))),r.Z.isArray(p.colors)&&(u=p.colors,p.fillcolor=u[o%u.length]),_[o]=t.create("polygon",m,p),r.Z.exists(p.labels)&&r.Z.exists(p.labels[o])&&(_[o].text=n);return _},drawPoints:function(t,e,i,r){var s,o=[],n=r.infoboxarray;for(r.fixed=!0,r.name="",s=0;s<e.length;s++)r.infoboxtext=!!n&&n[s%n.length],o[s]=t.create("point",[e[s],i[s]],r);return o},drawPie:function(t,e,s){var o,n,a=[],h=[],l=(p.Z.sum(e),s.colors),c=s.highlightcolors,d=s.labels,f=s.radius||4,_=f,m=s.center||[0,0],g=m[0],b=m[1],v=function(t,i,s){return function(){var o,n,a,h=0;for(n=0;n<=t;n++)h+=parseFloat(r.Z.evaluate(e[n]));for(o=h,n=t+1;n<e.length;n++)o+=parseFloat(r.Z.evaluate(e[n]));return a=0!==o?2*Math.PI*h/o:0,_()*Math[i](a)+s}},Z=function(t,e){var s=-this.point1.coords.usrCoords[1]+this.point2.coords.usrCoords[1],o=-this.point1.coords.usrCoords[2]+this.point2.coords.usrCoords[2];r.Z.exists(this.label)&&(this.label.rendNode.style.fontSize=e*r.Z.evaluate(this.label.visProp.fontsize)+"px",this.label.fullUpdate()),this.point2.coords=new u.Z(i.Z.COORDS_BY_USER,[this.point1.coords.usrCoords[1]+s*t,this.point1.coords.usrCoords[2]+o*t],this.board),this.fullUpdate()},C=function(){this.highlighted||(this.highlighted=!0,this.board.highlightedObjects[this.id]=this,this.board.renderer.highlight(this),Z.call(this,1.1,2))},y=function(){this.highlighted&&(this.highlighted=!1,this.board.renderer.noHighlight(this),Z.call(this,.9090909,1))},P={fixed:!0,withLabel:!1,visible:!1,name:""};if(!r.Z.isArray(d))for(d=[],o=0;o<e.length;o++)d[o]="";for(r.Z.isFunction(f)||(_=function(){return f}),s.highlightonsector=s.highlightonsector||!1,s.straightfirst=!1,s.straightlast=!1,n=t.create("point",[g,b],P),a[0]=t.create("point",[function(){return _()+g},function(){return b}],P),o=0;o<e.length;o++)a[o+1]=t.create("point",[v(o,"cos",g),v(o,"sin",b)],P),s.name=d[o],s.withlabel=""!==s.name,s.fillcolor=l&&l[o%l.length],s.labelcolor=l&&l[o%l.length],s.highlightfillcolor=c&&c[o%c.length],h[o]=t.create("sector",[n,a[o],a[o+1]],s),s.highlightonsector&&(h[o].hasPoint=h[o].hasPointSector),s.highlightbysize&&(h[o].highlight=C,h[o].noHighlight=y);return{sectors:h,points:a,midpoint:n}},drawRadar:function(e,s,o){var n,a,h,l,c,d,p,f,_,m,g,b,v,Z,C,y,P,E,O,x,S,M,w,T,N,A,D,k,R,L,B,I,Y,j,X,U,F,J,z,G,W,H,V=s.length,$=function(){var t,e,s,o,n=r.Z.evaluate(this.visProp.label.offset).slice(0);return t=this.point1.X(),e=this.point2.X(),s=this.point1.Y(),o=this.point2.Y(),e<t&&(n[0]=-n[0]),o<s&&(n[1]=-n[1]),this.setLabelRelativeCoords(n),new u.Z(i.Z.COORDS_BY_USER,[this.point2.X(),this.point2.Y()],this.board)},K=function(t,i){var r,s,o;return r=e.create("transform",[-(C[i]-v[i]),0],{type:"translate"}),s=e.create("transform",[O/(y[i]+Z[i]-(C[i]-v[i])),1],{type:"scale"}),r.melt(s),o=e.create("transform",[t],{type:"rotate"}),r.melt(o),r};if(V<=0)throw new Error("JSXGraph radar chart: no data");if(h=o.paramarray,!r.Z.exists(h))throw new Error("JSXGraph radar chart: need paramArray attribute");if((l=h.length)<=1)throw new Error("JSXGraph radar chart: need more than one param in paramArray");for(n=0;n<V;n++)if(l!==s[n].length)throw new Error("JSXGraph radar chart: use data length equal to number of params ("+s[n].length+" != "+l+")");for(c=[],d=[],a=0;a<l;a++)c[a]=s[0][a],d[a]=c[a];for(n=1;n<V;n++)for(a=0;a<l;a++)s[n][a]>c[a]&&(c[a]=s[n][a]),s[n][a]<d[a]&&(d[a]=s[n][a]);for(p=[],f=[],n=0;n<V;n++)p[n]="",f[n]=[];for(_=[],m=[],g=o.startshiftratio||0,b=o.endshiftratio||0,n=0;n<l;n++)_[n]=(c[n]-d[n])*g,m[n]=(c[n]-d[n])*b;if(v=o.startshiftarray||_,Z=o.endshiftarray||m,C=o.startarray||d,r.Z.exists(o.start))for(n=0;n<l;n++)C[n]=o.start;if(y=o.endarray||c,r.Z.exists(o.end))for(n=0;n<l;n++)y[n]=o.end;if(v.length!==l)throw new Error("JSXGraph radar chart: start shifts length is not equal to number of parameters");if(Z.length!==l)throw new Error("JSXGraph radar chart: end shifts length is not equal to number of parameters");if(C.length!==l)throw new Error("JSXGraph radar chart: starts length is not equal to number of parameters");if(y.length!==l)throw new Error("JSXGraph radar chart: snds length is not equal to number of parameters");for(P=o.labelarray||p,E=o.colors,o.highlightcolors,O=o.radius||10,W=o.strokewidth||1,r.Z.exists(o.highlightonsector)||(o.highlightonsector=!1),x={name:o.name,id:o.id,strokewidth:W,polystrokewidth:o.polystrokewidth||W,strokecolor:o.strokecolor||"black",straightfirst:!1,straightlast:!1,fillcolor:o.fillColor||"#FFFF88",fillopacity:o.fillOpacity||.4,highlightfillcolor:o.highlightFillColor||"#FF7400",highlightstrokecolor:o.highlightStrokeColor||"black",gradient:o.gradient||"none"},M=(S=o.center||[0,0])[0],w=S[1],T=e.create("point",[M,w],{name:"",fixed:!0,withlabel:!1,visible:!1}),Math.PI/2-Math.PI/l,A=N=o.startangle||0,D=[],k=[],n=0;n<l;n++)for(A+=2*Math.PI/l,L=O*Math.cos(A)+M,B=O*Math.sin(A)+w,D[n]=e.create("point",[L,B],{name:"",fixed:!0,withlabel:!1,visible:!1}),k[n]=e.create("line",[T,D[n]],{name:h[n],strokeColor:x.strokecolor,strokeWidth:x.strokewidth,strokeOpacity:1,straightFirst:!1,straightLast:!1,withLabel:!0,highlightStrokeColor:x.highlightstrokecolor}),k[n].getLabelAnchor=$,R=K(A,n),a=0;a<s.length;a++)H=s[a][n],f[a][n]=e.create("point",[H,0],{name:"",fixed:!0,withlabel:!1,visible:!1}),f[a][n].addTransform(f[a][n],R);for(I=[],n=0;n<V;n++)for(x.labelcolor=E&&E[n%E.length],x.strokecolor=E&&E[n%E.length],x.fillcolor=E&&E[n%E.length],I[n]=e.create("polygon",f[n],{withLines:!0,withLabel:!1,fillColor:x.fillcolor,fillOpacity:x.fillopacity,highlightFillColor:x.highlightfillcolor}),a=0;a<l;a++)I[n].borders[a].setAttribute("strokecolor:"+E[n%E.length]),I[n].borders[a].setAttribute("strokewidth:"+x.polystrokewidth);switch(o.legendposition||"none"){case"right":j=o.legendleftoffset||2,X=o.legendtopoffset||1,this.legend=e.create("legend",[M+O+j,w+O-X],{labels:P,colors:E});break;case"none":break;default:t.Z.debug("Unknown legend position")}if(Y=[],o.showcircles){for(U=[],n=0;n<6;n++)U[n]=20*n;if(U[0]="0",(J=(F=o.circlelabelarray||U).length)<2)throw new Error("JSXGraph radar chart: too less circles in circleLabelArray");for(z=[],R=K(N+Math.PI/l,0),x.fillcolor="none",x.highlightfillcolor="none",x.strokecolor=o.strokecolor||"black",x.strokewidth=o.circlestrokewidth||.5,x.layer=0,G=(y[0]-C[0])/(J-1),n=0;n<J;n++)z[n]=e.create("point",[C[0]+n*G,0],{name:F[n],size:0,fixed:!0,withLabel:!0,visible:!0}),z[n].addTransform(z[n],R),Y[n]=e.create("circle",[T,z[n]],x)}return this.rendNode=I[0].rendNode,{circles:Y,lines:k,points:f,midpoint:T,polygons:I}},updateRenderer:function(){return this},update:function(){return this.needsUpdate&&this.updateDataArray(),this},updateDataArray:function(){return this}}),t.Z.createChart=function(i,s,o){var n,a,h,l,c,d,u,p,f,_,m,g,b,v,Z,C,y=[],P=e.Z.isBrowser?i.document.getElementById(s[0]):null;if(1===s.length&&r.Z.isString(s[0])){if(r.Z.exists(P)){if(f=r.Z.copyAttributes(o,i.options,"chart"),n=(P=(new tt).loadFromTable(s[0],f.withheaders,f.withheaders)).data,c=P.columnHeaders,a=P.rowHeaders,_=f.width,m=f.name,g=f.strokecolor,b=f.fillcolor,v=f.highlightstrokecolor,Z=f.highlightfillcolor,i.suspendUpdate(),C=n.length,p=[],f.rows&&r.Z.isArray(f.rows)){for(h=0;h<C;h++)for(l=0;l<f.rows.length;l++)if(f.rows[l]===h||f.withheaders&&f.rows[l]===a[h]){p.push(n[h]);break}}else p=n;for(C=p.length,h=0;h<C;h++){if(u=[],f.chartstyle&&-1!==f.chartstyle.indexOf("bar")){for(d=_||.8,u.push(1-d/2+(h+.5)*d/C),l=1;l<p[h].length;l++)u.push(u[l-1]+1);f.width=d/C}m&&m.length===C?f.name=m[h]:f.withheaders&&(f.name=c[h]),g&&g.length===C?f.strokecolor=g[h]:f.strokecolor=Y.Z.hsv2rgb((h+1)/C*360,.9,.6),b&&b.length===C?f.fillcolor=b[h]:f.fillcolor=Y.Z.hsv2rgb((h+1)/C*360,.9,1),v&&v.length===C?f.highlightstrokecolor=v[h]:f.highlightstrokecolor=Y.Z.hsv2rgb((h+1)/C*360,.9,1),Z&&Z.length===C?f.highlightfillcolor=Z[h]:f.highlightfillcolor=Y.Z.hsv2rgb((h+1)/C*360,.9,.6),f.chartstyle&&-1!==f.chartstyle.indexOf("bar")?y.push(new t.Z.Chart(i,[u,p[h]],f)):y.push(new t.Z.Chart(i,[p[h]],f))}i.unsuspendUpdate()}return y}return f=r.Z.copyAttributes(o,i.options,"chart"),new t.Z.Chart(i,s,f)},t.Z.registerElement("chart",t.Z.createChart),t.Z.Legend=function(t,e,s){var o;if(this.constructor(),o=r.Z.copyAttributes(s,t.options,"legend"),this.board=t,this.coords=new u.Z(i.Z.COORDS_BY_USER,e,this.board),this.myAtts={},this.label_array=o.labelarray||o.labels,this.color_array=o.colorarray||o.colors,this.lines=[],this.myAtts.strokewidth=o.strokewidth||5,this.myAtts.straightfirst=!1,this.myAtts.straightlast=!1,this.myAtts.withlabel=!0,this.myAtts.fixed=!0,this.style=o.legendstyle||o.style,"vertical"!==this.style)throw new Error("JSXGraph: Unknown legend style: "+this.style);this.drawVerticalLegend(t,o)},t.Z.Legend.prototype=new H.Z,t.Z.Legend.prototype.drawVerticalLegend=function(t,e){var s,o=e.linelength||1,n=(e.rowheight||20)/this.board.unitY,a=function(){return this.setLabelRelativeCoords(this.visProp.label.offset),new u.Z(i.Z.COORDS_BY_USER,[this.point2.X(),this.point2.Y()],this.board)};for(s=0;s<this.label_array.length;s++)this.myAtts.name=this.label_array[s],this.myAtts.strokecolor=this.color_array[s%this.color_array.length],this.myAtts.highlightstrokecolor=this.color_array[s%this.color_array.length],this.myAtts.label={offset:[10,0],strokeColor:this.color_array[s%this.color_array.length],strokeWidth:this.myAtts.strokewidth},this.lines[s]=t.create("line",[[this.coords.usrCoords[1],this.coords.usrCoords[2]-s*n],[this.coords.usrCoords[1]+o,this.coords.usrCoords[2]-s*n]],this.myAtts),this.lines[s].getLabelAnchor=a,this.lines[s].prepareUpdate().update().updateVisibility(r.Z.evaluate(this.lines[s].visProp.visible)).updateRenderer()},t.Z.createLegend=function(e,i,s){var o=[0,0];if(!r.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,s)},t.Z.registerElement("legend",t.Z.createLegend);t.Z.Chart,t.Z.Legend;t.Z.Transformation=function(t,e,r){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,r),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 s;for(this.isNumericMatrix=!0,s=0;s<i.length;s++)if("number"!=typeof i[s]){this.isNumericMatrix=!1;break}if("translate"===e){if(2!==i.length)throw new Error("JSXGraph: translate transformation needs 2 parameters.");this.evalParam=r.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=r.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=r.Z.createEvalFunction(t,i,4)),this.update=function(){var t,e,r,s,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=[-(r=h[0])*t,-r*e,t*t+e*e])[2],s=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]=s*(1-this.matrix[1][1])-n*this.matrix[1][2],this.matrix[2][0]=n*(1-this.matrix[2][2])-s*this.matrix[2][1]};else if("rotate"===e)3===i.length?this.evalParam=r.Z.createEvalFunction(t,i,3):i.length>0&&i.length<=2&&(this.evalParam=r.Z.createEvalFunction(t,i,1),2!==i.length||r.Z.isArray(i[1])||(i[1]=t.select(i[1]))),this.update=function(){var t,e,s=this.evalParam(0),o=Math.cos(s),n=Math.sin(s);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)):r.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=r.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=r.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(),r.Z.exists(e)?o.Z.matVecMult(this.matrix,t.initialCoords.usrCoords):o.Z.matVecMult(this.matrix,t.coords.usrCoords)},applyOnce:function(t){var e,s,n;for(r.Z.isArray(t)||(t=[t]),s=t.length,n=0;n<s;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(r.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,r,s,o,n,a=[];for(i=t.matrix.length,r=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<r;n++){for(o=0,s=0;s<i;s++)o+=t.matrix[e][s]*this.matrix[s][n];a[e][n]=o}return this.update=function(){var t=this.matrix.length,i=this.matrix[0].length;for(e=0;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,r){return new t.Z.Transformation(e,r.type,i)},t.Z.registerElement("transform",t.Z.createTransform);t.Z.Transformation;t.Z.Turtle=function(t,e,s){var o,n,a;return this.constructor(t,s,i.Z.OBJECT_TYPE_TURTLE,i.Z.OBJECT_CLASS_OTHER),this.turtleIsHidden=!1,this.board=t,this.visProp.curveType="plot",this._attributes=r.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?r.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=r.Z.deepCopy(this.methodMap,{forward:"forward",fd:"forward",back:"back",bk:"back",right:"right",rt:"right",left:"left",lt:"left",penUp:"penUp",pu:"penUp",up:"penUp",penDown:"penDown",pd:"penDown",down:"penDown",clearScreen:"clearScreen",cs:"clearScreen",clean:"clean",setPos:"setPos",home:"home",hideTurtle:"hideTurtle",ht:"hideTurtle",hide:"hideTurtle",showTurtle:"showTurtle",st:"showTurtle",show:"showTurtle",penSize:"setPenSize",setPenSize:"setPenSize",penColor:"setPenColor",setPenColor:"setPenColor",highlightPenColor:"setHighlightPenColor",setHighlightPenColor:"setHighlightPenColor",getPenColor:"getPenColor",Color:"getPenColor",getHighlightPenColor:"getHighlightPenColor",HighlightColor:"getHighlightPenColor",getPenSize:"getPenSize",Size:"getPenSize",pushTurtle:"pushTurtle",push:"pushTurtle",popTurtle:"popTurtle",pop:"popTurtle",lookTo:"lookTo",pos:"pos",Pos:"pos",moveTo:"moveTo",X:"X",Y:"Y"}),this},t.Z.Turtle.prototype=new H.Z,t.Z.extend(t.Z.Turtle.prototype,{init:function(t,e,i){var r={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,r),this.objects.push(this.turtle),this.turtle2=this.board.create("point",[this.pos[0],this.pos[1]+this.arrowLen],r),this.objects.push(this.turtle2),this.visProp.arrow.lastArrow=!0,this.visProp.arrow.straightFirst=!1,this.visProp.arrow.straightLast=!1,this.arrow=this.board.create("line",[this.turtle,this.turtle2],this.visProp.arrow),this.objects.push(this.arrow),this.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),r=t*Math.sin(this.dir*Math.PI/180);return this.turtleIsHidden||((e=this.board.create("transform",[i,r],{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]+=r,this.isPenDown&&(this.curve.dataX.push(this.pos[0]),this.curve.dataY.push(this.pos[1])),this.board.update(),this},back:function(t){return this.forward(-t)},right:function(t){(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 r.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,r.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,s,o,n=this.objects.length;for(e=0;e<n;e++)(s=this.objects[e]).type===i.Z.OBJECT_TYPE_CURVE&&s.setAttribute(t);return o=this.visProp.id,this.visProp=r.Z.deepCopy(this.curve.visProp),this.visProp.id=o,this._attributes=r.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,s,o,n;return r.Z.isArray(t)?(e=this.pos[0],i=this.pos[1],s=t[0],o=t[1],n=Math.atan2(o-i,s-e),this.right(this.dir-180*n/Math.PI)):r.Z.isNumber(t)&&this.right(this.dir-t),this},moveTo:function(t){var e,i,s;return r.Z.isArray(t)&&(e=t[0]-this.pos[0],i=t[1]-this.pos[1],this.turtleIsHidden||((s=this.board.create("transform",[e,i],{type:"translate"})).applyOnce(this.turtle),s.applyOnce(this.turtle2)),this.isPenDown&&this.curve.dataX.length>=8192&&(this.curve=this.board.create("curve",[[this.pos[0]],[this.pos[1]]],this._attributes),this.objects.push(this.curve)),this.pos[0]=t[0],this.pos[1]=t[1],this.isPenDown&&(this.curve.dataX.push(this.pos[0]),this.curve.dataY.push(this.pos[1])),this.board.update()),this},fd:function(t){return this.forward(t)},bk:function(t){return this.back(t)},lt:function(t){return this.left(t)},rt:function(t){return this.right(t)},pu:function(){return this.penUp()},pd:function(){return this.penDown()},ht:function(){return this.hideTurtle()},st:function(){return this.showTurtle()},cs:function(){return this.clearScreen()},push:function(){return this.pushTurtle()},pop:function(){return this.popTurtle()},evalAt:function(t,e){var r,s,o,n,a=this.objects.length;for(r=0,s=0;r<a;r++)if((o=this.objects[r]).elementClass===i.Z.OBJECT_CLASS_CURVE){if(s<=t&&t<s+o.numberPoints)return n=t-s,o[e](n);s+=o.numberPoints}return this[e]()},X:function(t){return r.Z.exists(t)?this.evalAt(t,"X"):this.pos[0]},Y:function(t){return r.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,r=0;for(t=0;t<e;t++)this.objects[t].elementClass===i.Z.OBJECT_CLASS_CURVE&&(r+=this.objects[t].numberPoints);return r},hasPoint:function(t,e){var r,s;for(r=0;r<this.objects.length;r++)if((s=this.objects[r]).type===i.Z.OBJECT_TYPE_CURVE&&s.hasPoint(t,e))return!0;return!1}}),t.Z.createTurtle=function(e,i,s){var o;return i=i||[],o=r.Z.copyAttributes(s,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,s){if(this.constructor(t.board,s,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=[],r.Z.isFunction(e))throw this.ticksFunction=e,new Error("Function arguments are no longer supported.");r.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 H.Z,t.Z.extend(t.Z.Ticks.prototype,{hasPoint:function(t,e){var s,n,a,h,l=this.ticks&&this.ticks.length||0;if(r.Z.isObject(r.Z.evaluate(this.visProp.precision))?(h=this.board._inputDevice,a=r.Z.evaluate(this.visProp.precision[h])):a=this.board.options.precision.hasPoint,a+=.5*r.Z.evaluate(this.visProp.strokewidth),!r.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(s=0;s<l;s++)if((n=this.ticks[s])[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,s){var n,a,h=new u.Z(t,e,this.board),l=new u.Z(t,s,this.board),c=this.board.getBoundingBox();return this.line.type===i.Z.OBJECT_TYPE_AXIS&&r.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,s,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"===r.Z.evaluate(this.visProp.type)&&(n=this.board.getBoundingBox(),s=Math.max(o.Z.hypot(n[0],n[1]),o.Z.hypot(n[2],n[3])),e.upper=s),this.ticks=[],this.labelsData=[],this.equidistant?this.generateEquidistantTicks(t,e):this.generateFixedTicks(t,e),this},setTicksSizeVariables:function(t){var e,i,s,n,a=.5*r.Z.evaluate(this.visProp.majorheight),h=.5*r.Z.evaluate(this.visProp.minorheight);r.Z.exists(t)?(i=this.line.minX(),s=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,s)<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=r.Z.evaluate(this.visProp.minorheight)<0?"infinite":"finite",this.majStyle=r.Z.evaluate(this.visProp.majorheight)<0?"infinite":"finite"},getZeroCoordinates:function(){var t,e,s,o,n,a,l,c,d=r.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):(s=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*(s+a),.5*(t+o),.5*(e+n)],this.board):r.Z.isNumber(d)?new u.Z(i.Z.COORDS_BY_USER,[s+(a-s)*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):r.Z.isNumber(d)?l*(1-d)+c*d:l)},getLowerAndUpperBounds:function(t,e){var s,n,a,l,c,d,p,f,_,m,g,b,v,Z,C,y=10*o.Z.eps,P=r.Z.evaluate(this.line.visProp.straightfirst),E=r.Z.evaluate(this.line.visProp.straightlast),O=r.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,r.Z.exists(e)&&"ticksdistance"===e?(h.Z.calcStraight(this.line,c,d,0),Z=this.getDistanceFromZero(t,c),C=this.getDistanceFromZero(t,d),h.Z.calcStraight(this.line,c,d,r.Z.evaluate(this.line.visProp.margin)),Z=this.getDistanceFromZero(t,c)-Z,C=this.getDistanceFromZero(t,d).m2):h.Z.calcLineDelimitingPoints(this.line,c,d),a=r.Z.evaluate(this.line.visProp.firstarrow),l=r.Z.evaluate(this.line.visProp.lastarrow),b=this.getDistanceFromZero(t,c),v=this.getDistanceFromZero(t,d),(a||l)&&(g=this.board.renderer.getArrowHeadData(this.line,r.Z.evaluate(this.line.visProp.strokewidth),""),this.board.renderer.getPositionArrowHead(this.line,c,d,g)),(_=this.getDistanceFromZero(t,c))<(m=this.getDistanceFromZero(t,d))?(s=_,n=m,P||!p||O||(s+=y),E||!f||O||(n-=y)):m<_?(s=m,n=_,E||!f||O||(s+=y),P||!p||O||(n-=y)):(s=0,n=0),{lower:s,upper:n,a1:b=_-b,a2:v=_-v,m1:Z,m2:C})},getDistanceFromZero:function(t,e){var r,s,n,a,h;return r=this.line.point1.coords,s=this.line.point2.coords,h=t.distance(i.Z.COORDS_BY_USER,e),n=[s.usrCoords[0]-r.usrCoords[0],s.usrCoords[1]-r.usrCoords[1],s.usrCoords[2]-r.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 s,n,a,h=o.Z.eps,l=r.Z.evaluate(this.visProp.minorticks);if(a=this.getDistanceMajorTicks(),this.line.elementClass===i.Z.OBJECT_CLASS_LINE&&(n=this.getXandYdeltas()),a*=r.Z.evaluate(this.visProp.scale),a/=l+1,this.ticksDelta=a,!(a<o.Z.eps)){for(s=0,r.Z.evaluate(this.visProp.drawzero)||(s=a);s<=e.upper+h&&(s>=e.lower-h&&this.processTickPosition(t,s,a,n),s+=a,!(e.upper-s>1e4*a)););for(s=-a;s>=e.lower-h&&(s<=e.upper+h&&this.processTickPosition(t,s,a,n),!((s-=a)-e.lower>1e4*a)););}},getDistanceMajorTicks:function(){var t,e,i,s,n,a,h,l;return r.Z.evaluate(this.visProp.insertticks)?(a=((i=this.getLowerAndUpperBounds(this.getZeroCoordinates(),"")).upper-i.lower)/6/(n=r.Z.evaluate(this.visProp.scale)),h=r.Z.evaluate(this.visProp.minticksdistance)/n,l=r.Z.evaluate(this.visProp.minorticks),(s=this.getXandYdeltas()).x*=this.board.unitX,s.y*=this.board.unitY,h/=o.Z.hypot(s.x,s.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)):r.Z.evaluate(this.visProp.ticksdistance)},processTickPosition:function(t,e,s,o){var n,a,h,l,c,d=r.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/s)%(r.Z.evaluate(this.visProp.minorticks)+1)==0,d||(d=r.Z.evaluate(this.visProp.minorticks)+1),c=Math.round(e/s)%d==0,3===(l=this.createTickPath(h,h.major)).length&&(this.ticks.push(l),c&&r.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 s,n,a,h,l,c,d,p,f=o.Z.eps,_=r.Z.isArray(this.visProp.labels),m=r.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)),s=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(s,!0)).length&&d>=e.lower-f&&d<=e.upper+f&&(this.ticks.push(h),m&&(_||r.Z.exists(this.visProp.labels[a]))?(n=_?r.Z.evaluate(this.visProp.labels[a]):d,this.labelsData.push(this.generateLabelData(this.generateLabelText(s,t,n),s,a))):this.labelsData.push(null))},getXandYdeltas:function(){var t,e,i=this.line.point1.Dist(this.line.point2);return t=this.line.point1.coords.usrCoords,{x:((e=this.line.point2.coords.usrCoords)[1]-t[1])/i,y:(e[2]-t[2])/i}},_isInsideCanvas:function(t,e,i){var r=this.board.canvasWidth,s=this.board.canvasHeight;return void 0===i&&(i=0),t[0]>=i&&t[0]<=r-i&&e[0]>=i&&e[0]<=s-i||t[1]>=i&&t[1]<=r-i&&e[1]>=i&&e[1]<=s-i},createTickPath:function(t,e){var 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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=">"===r.Z.evaluate(this.visProp.face)?Math.PI/4:"<"===r.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,s=r.Z.evaluate(this.visProp.label.usemathjax),o=r.Z.evaluate(this.visProp.label.usekatex),n=r.Z.evaluate(this.visProp.scalesymbol);return r.Z.isNumber(t)?(r.Z.evaluate(this.visProp.label.tofraction)?e=s?"\\("+r.Z.toFraction(t,!0)+"\\)":r.Z.toFraction(t,o):(i=r.Z.evaluate(this.visProp.digits),this.useLocale()?e=this.formatNumberLocale(t,i):((e=(Math.round(1e11*t)/1e11).toString()).length>r.Z.evaluate(this.visProp.maxlabellength)||-1!==e.indexOf("e"))&&(3!==r.Z.evaluate(this.visProp.precision)&&3===i&&(i=r.Z.evaluate(this.visProp.precision)),e=t.toExponential(i).toString())),r.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(),n.length>0&&("1"===e?e=n:"-1"===e?e="-"+n:"0"!==e&&(e+=n)),r.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 s;if(!r.Z.exists(i)){if(s=this.getDistanceFromZero(e,t),Math.abs(s)<o.Z.eps)return"0";i=s/r.Z.evaluate(this.visProp.scale)}return this.formatLabelText(i)},generateLabelData:function(t,e,i){var s,o,n,a;return a=r.Z.evaluate(this.visProp.label.fontsize),s=[e.scrCoords[1],e.scrCoords[1]],o=[e.scrCoords[2],e.scrCoords[2]],n=void 0===a?12:a,n*=.5,this._isInsideCanvas(s,o,n)?(s=r.Z.evaluate(this.visProp.label.offset[0]),o=r.Z.evaluate(this.visProp.label.offset[1]),{x:e.usrCoords[1]+s/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,s,o,n,a,h,l;for(s=this.labelsData.length,o=this.labels.length,e=0,i=0;e<s;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=r.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=r.Z.evaluate(this.visProp.label.visible))&&(l=this.visPropCalc.visible),a.prepareUpdate().updateVisibility(l).updateRenderer(),a.distanceX=r.Z.evaluate(this.visProp.label.offset[0]),a.distanceY=r.Z.evaluate(this.visProp.label.offset[1]));for(i=s=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++)r.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++)r.Z.exists(this.labels[e])&&this.labels[e].showElement();return this}}),t.Z.createTicks=function(e,s,o){var n,a,h=r.Z.copyAttributes(o,e.options,"ticks");if(a=s.length<2?h.ticksdistance:s[1],s[0].elementClass!==i.Z.OBJECT_CLASS_LINE&&s[0].elementClass!==i.Z.OBJECT_CLASS_CURVE)throw new Error("JSXGraph: Can't create Ticks with parent types '"+typeof s[0]+"'.");return n=new t.Z.Ticks(s[0],a,h),r.Z.isFunction(h.generatelabelvalue)&&(n.generateLabelText=h.generatelabelvalue),r.Z.isFunction(h.generatelabeltext)&&(n.generateLabelText=h.generatelabeltext),n.setParents(s[0]),n.isDraggable=!0,n.fullUpdate(s[0].visPropCalc.visible),n},t.Z.createHatchmark=function(t,e,s){var o,n,a,h,l,c=[],d=r.Z.copyAttributes(s,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,r,s;if("op_assign"===e.value&&e.children[0].value===t)return e.children[1];if(e.children)for(r=e.children.length,i=0;i<r;++i)if(null!==(s=this.findMapNode(t,e.children[i])))return s;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,s=t.children[0].value,o=t.children[1];switch(s){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",r.Z.deepCopy(o[0]),r.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,r.Z.deepCopy(t.children[0]),r.Z.deepCopy(t.children[1]))));break;case"sin":i=this.createNode("node_op","op_execfun",this.createNode("node_var","cos"),r.Z.deepCopy(o));break;case"cos":i=this.createNode("node_op","op_neg",this.createNode("node_op","op_execfun",this.createNode("node_var","sin"),r.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"),r.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"),r.Z.deepCopy(o)),this.createNode("node_const",2))));break;case"exp":i=this.createNode(t.type,t.value,r.Z.deepCopy(t.children[0]),r.Z.deepCopy(t.children[1]));break;case"pow":i=this.createNode("node_op","op_mul",this.createNode("node_op","op_execfun",r.Z.deepCopy(t.children[0]),r.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",r.Z.deepCopy(t.children[1][1]),r.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"),[r.Z.deepCopy(t.children[1][0])]))));break;case"log":case"ln":i=this.createNode("node_op","op_div",this.createNode("node_const",1),r.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),r.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),r.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",r.Z.deepCopy(o[0]),r.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",r.Z.deepCopy(o[0]),r.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",r.Z.deepCopy(o[0]),r.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",r.Z.deepCopy(o[0]),r.Z.deepCopy(o[0])))));break;case"sinh":i=this.createNode("node_op","op_execfun",this.createNode("node_var","cosh"),[r.Z.deepCopy(o[0])]);break;case"cosh":i=this.createNode("node_op","op_execfun",this.createNode("node_var","sinh"),[r.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"),[r.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",r.Z.deepCopy(o[0]),r.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",r.Z.deepCopy(o[0]),r.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",r.Z.deepCopy(o[0]),r.Z.deepCopy(o[0]))));break;default:throw i=this.createNode("node_const",0),console.log('Derivative of "'+s+'" 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),r.Z.deepCopy(t.children[1])),this.createNode("node_op","op_mul",r.Z.deepCopy(t.children[0]),this.derivative(t.children[1],e))),this.createNode("node_op","op_mul",r.Z.deepCopy(t.children[1]),r.Z.deepCopy(t.children[1])));break;case"op_mul":i=this.createNode("node_op","op_add",this.createNode("node_op","op_mul",r.Z.deepCopy(t.children[0]),this.derivative(t.children[1],e)),this.createNode("node_op","op_mul",this.derivative(t.children[0],e),r.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",r.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",r.Z.deepCopy(t.children[1]),r.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"),[r.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 s,o,n,a,h,l,c,d,u,p,f,_;if(0,!t)return 0;for(this.line=t.line,this.col=t.col,s=t.children.length,o=0;o<s;++o)if(t.children[o]&&t.children[o].type)t.children[o]=this.expandDerivatives(t.children[o],t,i);else if(r.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,s,o,n;if(r.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(s=t.children[0],"node_var"==(o=t.children[1]).type)for(e=0;e<s.length;++e)if(s[e]==o.value){o.isMath=!0;break}break;case"op_add":if(s=t.children[0],o=t.children[1],"node_const"==s.type&&0===s.value)return o;if("node_const"==o.type&&0===o.value)return s;if("node_const"==s.type&&"node_const"==o.type)return s.value+=o.value,s;break;case"op_mul":if(s=t.children[0],o=t.children[1],"node_const"==s.type&&1==s.value)return o;if("node_const"==o.type&&1==o.value)return s;if("node_const"==s.type&&0===s.value)return s;if("node_const"==o.type&&0===o.value)return o;if("node_const"==o.type&&0===o.value)return o;if("node_op"==s.type&&"op_neg"==s.value&&"node_op"==o.type&&"op_neg"==o.value)return t.children=[s.children[0],o.children[0]],this.mayNotBeSimplified=!0,t;if("op_neg"==s.value&&"op_neg"!=o.value)return t.type="node_op",t.value="op_neg",t.children=[this.createNode("node_op","op_mul",s.children[0],o)],this.mayNotBeSimplified=!0,t;if("op_neg"!=s.value&&"op_neg"==o.value)return t.type="node_op",t.value="op_neg",t.children=[this.createNode("node_op","op_mul",s,o.children[0])],this.mayNotBeSimplified=!0,t;if("op_div"==s.value&&"node_const"==s.children[0].type&&1==s.children[0].value)return t.type="node_op",t.value="op_div",t.children=[o,s.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=[s,o.children[1]],this.mayNotBeSimplified=!0,t;if("node_const"!=s.type&&"node_const"==o.type)return t.children=[o,s],this.mayNotBeSimplified=!0,t;if("node_const"!=s.type&&"node_op"==o.type&&"op_neg"==o.value&&"node_const"==o.children[0].type)return t.children=[o,s],this.mayNotBeSimplified=!0,t;if("node_op"==s.type&&"op_execfun"!=s.value&&("node_var"==o.type||"node_op"==o.type&&"op_execfun"==o.value))return t.children=[o,s],this.mayNotBeSimplified=!0,t;if("node_op"!=s.type&&"node_op"==o.type&&"op_neg"==o.value&&"node_var"==o.children[0].type)return t.children=[o,s],this.mayNotBeSimplified=!0,t;if("node_const"!=s.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]=s,t.children=[n,o],this.mayNotBeSimplified=!0,t;if("node_const"!=o.type&&"node_op"==s.type&&"op_mul"==s.value&&"node_const"==s.children[0].type)return t.children=[s.children[0],this.createNode("node_op","op_mul",s.children[1],o)],this.mayNotBeSimplified=!0,t;if("node_const"==s.type&&"node_const"==o.type)return s.value*=o.value,s;if("node_const"==s.type&&"node_op"==o.type&&("op_mul"==o.value||"op_div"==o.value)&&"node_const"==o.children[0].type)return o.children[0].value*=s.value,o;if(s.hash=this.parser.compile(s),o.hash=this.parser.compile(o),s.hash===o.hash)return t.value="op_exp",t.children[1]=this.createNode("node_const",2),t;if("node_const"==s.type&&"node_op"==o.type&&("op_mul"==o.value||"op_div"==o.value)&&"node_const"==o.children[0].type)return o.children[0].value*=s.value,o;if("node_op"==o.type&&"op_exp"==o.value&&(s.hash||(s.hash=this.parser.compile(s)),o.children[0].hash||(o.children[0].hash=this.parser.compile(o.children[0])),s.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"==s.type&&"op_exp"==s.value&&"node_op"==o.type&&"op_exp"==o.value&&(s.children[0].hash=this.parser.compile(s.children[0]),o.children[0].hash=this.parser.compile(o.children[0]),s.children[0].hash===o.children[0].hash))return s.children[1]=this.createNode("node_op","op_add",s.children[1],o.children[1]),this.mayNotBeSimplified=!0,s;break;case"op_sub":if(s=t.children[0],o=t.children[1],"node_const"==s.type&&0===s.value)return t.value="op_neg",t.children[0]=o,t;if("node_const"==o.type&&0===o.value)return s;if("node_const"==s.type&&"node_const"==o.type&&s.value==o.value)return this.createNode("node_const",0);if("node_var"==s.type&&"node_var"==o.type&&s.value==o.value)return this.createNode("node_const",0);if("node_const"==s.type&&"node_const"==o.type)return s.value-=o.value,s;if("node_op"==s.type&&"op_mul"==s.value&&"node_op"==o.type&&"op_mul"==o.value&&(s.children[1].hash=this.parser.compile(s.children[1]),o.children[1].hash=this.parser.compile(o.children[1]),s.children[1].hash===o.children[1].hash))return t.value="op_mul",t.children=[this.createNode("node_op","op_sub",s.children[0],o.children[0]),s.children[1]],this.mayNotBeSimplified=!0,t;if("node_op"==s.type&&"op_mul"==s.value&&(s.children[1].hash=this.parser.compile(s.children[1]),o.hash=this.parser.compile(o),s.children[1].hash===o.hash))return t.value="op_mul",t.children=[this.createNode("node_op","op_sub",s.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]),s.hash=this.parser.compile(s),o.children[1].hash===s.hash))return t.value="op_mul",t.children=[this.createNode("node_op","op_sub",this.createNode("node_const",1),o.children[0]),s],this.mayNotBeSimplified=!0,t;break;case"op_neg":if("node_const"==(s=t.children[0]).type&&0===s.value)return s;if("node_op"==s.type&&"op_neg"==s.value)return s.children[0];break;case"op_div":if(s=t.children[0],o=t.children[1],"node_const"==s.type&&"node_const"==o.type&&s.value==o.value&&0!==s.value)return s.value=1,s;if("node_const"==s.type&&0===s.value&&"node_const"==o.type&&0!==o.value)return s.value=0,s;if("node_const"==s.type&&0===s.value&&("node_op"==o.type||"node_var"==o.type))return t.type="node_const",t.value=0,t;if("node_var"==s.type&&"node_var"==o.type&&s.value==o.value)return this.createNode("node_const",1);if("node_const"==s.type&&0!==s.value&&"node_const"==o.type&&0===o.value)return s.value>0?s.value=1/0:s.value=-1/0,s;if("node_op"==s.type&&"op_neg"==s.value&&"node_op"==o.type&&"op_neg"==o.value)return t.children=[s.children[0],o.children[0]],this.mayNotBeSimplified=!0,t;if("op_neg"==s.value&&"op_neg"!=o.value)return t.type="node_op",t.value="op_neg",t.children=[this.createNode("node_op","op_div",s.children[0],o)],this.mayNotBeSimplified=!0,t;if("op_neg"!=s.value&&"op_neg"==o.value)return t.type="node_op",t.value="op_neg",t.children=[this.createNode("node_op","op_div",s,o.children[0])],this.mayNotBeSimplified=!0,t;if("node_op"==s.type&&"op_exp"==s.value&&(o.hash||(o.hash=this.parser.compile(o)),s.children[0].hash||(s.children[0].hash=this.parser.compile(s.children[0])),o.hash===s.children[0].hash))return s.children[1]=this.createNode("node_op","op_sub",s.children[1],this.createNode("node_const",1)),this.mayNotBeSimplified=!0,s;if("node_const"!=o.type&&"node_op"==s.type&&"op_mul"==s.value&&"node_const"==s.children[0].type)return t.value="op_mul",t.children=[s.children[0],this.createNode("node_op","op_div",s.children[1],o)],this.mayNotBeSimplified=!0,t;if("node_op"==s.type&&"op_exp"==s.value&&"node_op"==o.type&&"op_exp"==o.value&&(s.children[0].hash=this.parser.compile(s.children[0]),o.children[0].hash=this.parser.compile(o.children[0]),s.children[0].hash===o.children[0].hash))return s.children[1]=this.createNode("node_op","op_sub",s.children[1],o.children[1]),this.mayNotBeSimplified=!0,s;break;case"op_exp":if(s=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 s;if("node_const"==s.type&&1==s.value)return s;if("node_const"==s.type&&0===s.value&&"node_const"==o.type&&0!==o.value)return s;if("node_op"==s.type&&"op_exp"==s.value)return t.children=[s.children[0],this.createNode("node_op","op_mul",s.children[1],o)],t}switch(t.value){case"op_add":if(s=t.children[0],o=t.children[1],"node_const"==s.type&&"node_const"==o.type&&s.value==o.value)return s.value+=o.value,s;if("node_var"==s.type&&"node_var"==o.type&&s.value==o.value)return t.children[0]=this.createNode("node_const",2),t.value="op_mul",t;if("node_op"==s.type&&"op_neg"==s.value)return t.value="op_sub",t.children[0]=o,t.children[1]=s.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"==s.type&&"op_mul"==s.value&&"node_op"==o.type&&"op_mul"==o.value&&(s.children[1].hash=this.parser.compile(s.children[1]),o.children[1].hash=this.parser.compile(o.children[1]),s.children[1].hash===o.children[1].hash))return t.value="op_mul",t.children=[this.createNode("node_op","op_add",s.children[0],o.children[0]),s.children[1]],this.mayNotBeSimplified=!0,t;if("node_op"==s.type&&"op_mul"==s.value&&(s.children[1].hash=this.parser.compile(s.children[1]),o.hash=this.parser.compile(o),s.children[1].hash===o.hash))return t.value="op_mul",t.children=[this.createNode("node_op","op_add",s.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]),s.hash=this.parser.compile(s),o.children[1].hash===s.hash))return t.value="op_mul",t.children=[this.createNode("node_op","op_add",this.createNode("node_const",1),o.children[0]),s],this.mayNotBeSimplified=!0,t;break;case"op_sub":if(s=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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r=this.minimizeObject(i.getAttributes(),t.Z.Options[i.elType]),i.subs)i.subs.hasOwnProperty(s)&&(r[s]=this.minimizeObject(i.subs[s].getAttributes(),t.Z.Options[i.elType][s],t.Z.Options[i.subs[s].elType]),r[s].id=i.subs[s].id,r[s].name=i.subs[s].name);return r.id=i.id,r.name=i.name,r},setBoundingBox:function(t,e,i){return t.push({obj:i,method:"setBoundingBox",params:[e.getBoundingBox(),e.keepaspectratio]}),t},dump:function(t){var e,i,s,o,n=[],a=[],h=t.objectsList.length;for(this.addMarkers(t,"dumped",!1),e=0;e<h;e++)if(s={},!(i=t.objectsList[e]).dumped&&i.dump){for(s.type=i.getType(),s.parents=i.getParents().slice(),"point"===s.type&&1===s.parents[0]&&(s.parents=s.parents.slice(1)),o=0;o<s.parents.length;o++)r.Z.isString(s.parents[o])&&"'"!==s.parents[o][0]&&'"'!==s.parents[o][0]?s.parents[o]='"'+s.parents[o]+'"':r.Z.isArray(s.parents[o])&&(s.parents[o]="["+s.parents[o].toString()+"]");s.attributes=this.prepareAttributes(t,i),"glider"===s.type&&i.onPolygon&&n.push({obj:i.id,prop:"onPolygon",val:!0}),a.push(s)}return this.deleteMarkers(t,"dumped"),{elements:a,props:n,methods:[]}},arrayToParamStr:function(t,e){var i,r=[];for(i=0;i<t.length;i++)r.push(e.call(this,t[i]));return r.join(", ")},toJCAN:function(t){var e,i,s;switch(typeof t){case"object":if(t){if(i=[],r.Z.isArray(t)){for(e=0;e<t.length;e++)i.push(this.toJCAN(t[e]));return"["+i.join(",")+"]"}for(s in t)t.hasOwnProperty(s)&&i.push(s+": 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e,i,s,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(", ")+"], "+r.Z.toJSON(i[e].attributes)+");"),"axis"===i[e].type&&(s=i[e].attributes.id,null===t.objects[s].defaultTicks&&n.push('board.objects["'+s+'"].removeTicks(board.objects["'+s+'"].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,r.Z.toJSON)+");"),n.push("");for(e=0;e<o.props.length;e++)n.push(o.props[e].obj+"."+o.props[e].prop+" = "+r.Z.toJSON(o.props[e].val)+";"),n.push("");return n.join("\n")}};t.Z.Dump;t.Z.createComb=function(e,i,s){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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i>90&&i<270?"right":"left"}),l=function(t,e,i,s){var o;switch(s){case"length":o=function(){return e.L()};break;case"slope":o=function(){return e.Slope()};break;case"area":o=function(){return e.Area()};break;case"radius":o=function(){return e.Radius()};break;case"perimeter":o=function(){return e.Perimeter()};break;case"rad":o=function(){return e.Value()};break;case"deg":o=function(){return 180*e.Value()/Math.PI};break;default:o=function(){return 0}}return function(){var e,i="",s=r.Z.evaluate(h),n=r.Z.evaluate(t.visProp.digits),a=r.Z.evaluate(t.visProp.unit),l=r.Z.evaluate(t.visProp.prefix),c=r.Z.evaluate(t.visProp.suffix),d=r.Z.evaluate(t.visProp.usemathjax)||r.Z.evaluate(t.visProp.usekatex);return""===s?(e=t.useLocale()?t.formatNumberLocale(o(),n):r.Z.toFixed(o(),n),i=d?["\\(",l,e,"\\,",a,c,"\\)"].join(""):[l,e,a,c].join("")):i=s,i}},a.elementClass===i.Z.OBJECT_CLASS_POINT?(o=t.create("text",[function(){return a.X()},function(){return a.Y()},""],n),c=function(){var 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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,r=[];if(0===i)this.span=[[this.Z(),this.X(),this.Y()],[this.Z(),this.W(),0],[this.Z(),0,this.H()]];else{for(r[0]=[this.Z(),this.X(),this.Y()],r[1]=[this.Z(),this.X()+this.W(),this.Y()],r[2]=[this.Z(),this.X(),this.Y()+this.H()],t=0;t<i;t++)for(e=0;e<3;e++)r[e]=o.Z.matVecMult(this.transformations[t].matrix,r[e]);for(e=0;e<3;e++)r[e][1]/=r[e][0],r[e][2]/=r[e][0],r[e][0]/=r[e][0];for(e=1;e<3;e++)r[e][0]-=r[0][0],r[e][1]-=r[0][1],r[e][2]-=r[0][2];this.span=r}return this},addTransform:function(t){var e;if(r.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=r.Z.createFunction(t,this.board,""),this.H=r.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,s){var o,n,a=i[0],h=i[1],l=[];if(i.length>=2&&(l=i[2]),o=r.Z.copyAttributes(s,e.options,"foreignobject"),!(n=V.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(k.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,fixed:!0,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},intersectionline3d:{point1:{visible:!1,name:""},point2:{visible:!1,name:""}},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:""}},mesh3d:{strokeWidth:1,strokeColor:"#9a9a9a",strokeOpacity:.6,highlight:!1,fillColor:"#9a9a9a",fillOpacity:.1,tabindex:null,visible:"inherit"},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"},polygon3d:{highlight:!1,tabindex:-1,strokeWidth:1,fillColor:"none"},sphere3d:{highlight:!1,strokeWidth:1,strokeColor:"#00ff80",fillColor:"white",gradient:"radial",gradientSecondColor:"#00ff80",gradientFX:.7,gradientFY:.3,fillOpacity:.4},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"},az:{pointer:{enabled:!0,speed:1,outside:!0,button:-1,key:"none"},keyboard:{enabled:!0,step:10,key:"ctrl"},continuous:!0,slider:{visible:!0,style:6,point1:{frozen:!0},point2:{frozen:!0},min:0,max:2*Math.PI,start:1}},el:{pointer:{enabled:!0,speed:1,outside:!0,button:-1,key:"none"},keyboard:{enabled:!0,step:10,key:"ctrl"},continuous:!0,slider:{visible:!0,style:6,point1:{frozen:!0},point2:{frozen:!0},min:0,max:2*Math.PI,start:.3}},trackball:{enabled:!1,outside:!0,button:-1,key:"none"},r:"auto",fov:.4*Math.PI,values:[[0,1.57],[.78,.62],[0,0],[5.49,.62],[4.71,0],[3.93,.62],[3.14,0],[2.36,.62],[1.57,1.57]],_currentView:-1}});t.Z.Options;t.Z.View3D=function(t,e,s){this.constructor(t,s,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.cameraTransform=[],this.llftCorner=e[0],this.size=e[1],this.bbox3D=e[2],this.r=-1,this.focalDist=-1,this.projectionType="parallel",this.timeoutAzimuth=null,this.id=this.board.setId(this,"V"),this.board.finalizeAdding(this),this.elType="view3d",this.methodMap=r.Z.deepCopy(this.methodMap,{})},t.Z.View3D.prototype=new H.Z,t.Z.extend(t.Z.View3D.prototype,{create:function(t,e,i){var r=[];return t.indexOf("3d")>0&&r.push(this),this.board.create(t,r.concat(e),i)},select:function(t,e){var i,s,o,n,a=t;if(null===a)return a;if(r.Z.isString(a)&&""!==a)r.Z.exists(this.objects[a])?a=this.objects[a]:r.Z.exists(this.elementsByName[a])&&(a=this.elementsByName[a]);else if(!e&&(r.Z.isFunction(a)||r.Z.isObject(a)&&!r.Z.isFunction(a.setAttribute))){for(s={},n=(i=r.Z.filterElements(this.objectsList,a)).length,o=0;o<n;o++)s[i[o].id]=i[o];a=new j(s)}else r.Z.isObject(a)&&r.Z.exists(a.id)&&!r.Z.exists(this.objects[a.id])&&(a=null);return a},updateParallelProjection:function(){var t,e,i,r,s=[[1,0,0,0],[0,1,0,0],[0,0,1,0],[0,0,0,1]];return i=this.el_slide.Value(),t=this.r,e=this.az_slide.Value(),r=t*Math.sin(i),s[1][1]=t*Math.cos(e),s[1][2]=-t*Math.sin(e),s[1][3]=0,s[2][1]=r*Math.sin(e),s[2][2]=r*Math.cos(e),s[2][3]=Math.cos(i),s[3][1]=t*Math.cos(i)*Math.sin(e),s[3][2]=t*Math.cos(i)*Math.cos(e),s[3][3]=-Math.sin(i),s},_projectToSphere:function(t,e,i){var r,s=o.Z.hypot(e,i);return s<.7071067811865475*t?Math.sqrt(t*t-s*s):(r=t/1.414213562373095)*r/s},updateProjectionTrackball:function(t){var e,i,s,n,a,l,c,d,u,p,f,_,m=100,g=[[1,0,0,0],[0,1,0,0],[0,0,1,0],[0,0,0,1]];return r.Z.exists(this._trackball)?((e=this._trackball.dx)*e+(i=this._trackball.dy)*i>o.Z.eps&&(m=.25*(this.size[0]*this.board.unitX+this.size[1]*this.board.unitY),a=this._trackball.x,l=this._trackball.y,n=[this._projectToSphere(m,a,l),a,l],a-=e,l-=i,s=[this._projectToSphere(m,a,l),a,l],_=o.Z.crossProduct(n,s),u=o.Z.hypot(_[0],_[1],_[2]),_[0]/=-u,_[1]/=-u,_[2]/=u,d=(d=(d=h.Z.distance(n,s,3)/(2*m))>1?1:d)<-1?-1:d,c=2*Math.asin(d),d=1-(p=Math.cos(c)),f=Math.sin(c),g[1][1]=p+_[0]*_[0]*d,g[2][1]=_[0]*_[1]*d-_[2]*f,g[3][1]=_[0]*_[2]*d+_[1]*f,g[1][2]=_[1]*_[0]*d+_[2]*f,g[2][2]=p+_[1]*_[1]*d,g[3][2]=_[1]*_[2]*d-_[0]*f,g[1][3]=_[2]*_[0]*d-_[1]*f,g[2][3]=_[2]*_[1]*d+_[0]*f,g[3][3]=p+_[2]*_[2]*d,null!==t&&(g[1][0]=t[0]-g[1][1]*t[0]-g[1][2]*t[0]-g[1][3]*t[0],g[2][0]=t[1]-g[2][1]*t[1]-g[2][2]*t[1]-g[2][3]*t[1],g[3][0]=t[2]-g[3][1]*t[2]-g[3][2]*t[2]-g[3][3]*t[2])),g=o.Z.matMatMult(this.matrix3DRot,g)):this.matrix3DRot},_updateCentralProjection:function(){var t,e,i,s,n,a,h,l,c,d,u,p,f,_=[.5*(this.bbox3D[0][0]+this.bbox3D[0][1]),.5*(this.bbox3D[1][0]+this.bbox3D[1][1]),.5*(this.bbox3D[2][0]+this.bbox3D[2][1])];return f=function(t,e,i){return[i*Math.cos(t)*Math.cos(e),-i*Math.sin(t)*Math.cos(e),i*Math.sin(e)]},i=this.az_slide.Value()+3*Math.PI*.5,e=this.el_slide.Value(),"auto"===(t=r.Z.evaluate(this.visProp.r))&&(t=1.01*o.Z.hypot(this.bbox3D[0][0]-this.bbox3D[0][1],this.bbox3D[1][0]-this.bbox3D[1][1],this.bbox3D[2][0]-this.bbox3D[2][1])),s=f(i,e+Math.PI/2,1),u=[(d=f(i,e,t))[0],d[1],d[2]],d[0]+=_[0],d[1]+=_[1],d[2]+=_[2],c=o.Z.norm(u,3),n=[u[0]/c,u[1]/c,u[2]/c],c=o.Z.norm(s,3),l=[s[0]/c,s[1]/c,s[2]/c],a=o.Z.crossProduct(l,n),h=o.Z.crossProduct(n,a),l=o.Z.matVecMult([a,h,n],d),this.cameraTransform=[[1,0,0,0],[-l[0],a[0],a[1],a[2]],[-l[1],h[0],h[1],h[2]],[-l[2],n[0],n[1],n[2]]],this.focalDist=1/Math.tan(.5*r.Z.evaluate(this.visProp.fov)),p=[[0,0,0,-1],[0,this.focalDist,0,0],[0,0,this.focalDist,0],[320/-12,0,0,28/-12]],o.Z.matMatMult(p,this.cameraTransform)},update:function(){var t,e,i,s,n,a=null,h=!1;if(!r.Z.exists(this.el_slide)||!r.Z.exists(this.az_slide)||!this.needsUpdate)return this;if(t=[[1,0,0],[0,1,0],[0,0,1]],this.projectionType=r.Z.evaluate(this.visProp.projection).toLowerCase(),r.Z.evaluate(this.visProp.trackball.enabled)&&r.Z.exists(this.matrix3DRot)&&(this._hasMoveTrackball&&("central"===this.projectionType&&(a=[.5*(this.bbox3D[0][0]+this.bbox3D[0][1]),.5*(this.bbox3D[1][0]+this.bbox3D[1][1]),.5*(this.bbox3D[2][0]+this.bbox3D[2][1])]),this.matrix3DRot=this.updateProjectionTrackball(a)),h=!0),"central"===this.projectionType)i=.8,t[1][1]=this.size[0]/i,t[2][2]=this.size[1]/i,t[1][0]=this.llftCorner[0]+.5*t[1][1]*i,t[2][0]=this.llftCorner[1]+.5*t[2][2]*i,this.viewPortTransform=t,h||(this.matrix3DRot=this._updateCentralProjection()),this.matrix3D=this.matrix3DRot.slice();else 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]],s=this.bbox3D[0][1]-this.bbox3D[0][0],n=this.bbox3D[1][1]-this.bbox3D[1][0],t[1][1]=this.size[0]/s,t[2][2]=this.size[1]/n,t[1][0]=this.llftCorner[0]+.5*t[1][1]*s,t[2][0]=this.llftCorner[1]+.5*t[2][2]*n,h||(this.matrix3DRot=this.updateParallelProjection()),this.matrix3D=o.Z.matMatMult(t,o.Z.matMatMult(this.matrix3DRot,e).slice(0,3));return this},updateRenderer:function(){return this.needsUpdate=!1,this},removeObject:function(e,i){var s;if(r.Z.isArray(e)){for(s=0;s<e.length;s++)this.removeObject(e[s]);return this}if(e=this.select(e),!r.Z.exists(e)||r.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},worldToView:function(t,e=!0){var i,r=o.Z.matVecMult(this.cameraTransform,t);if(r[3]-=r[0]*this.focalDist,e)return r;for(i=1;i<4;i++)r[i]/=r[0];return r.slice(1,4)},project3DTo2D:function(t,e,i){var r,s;return 3===arguments.length?r=[1,t,e,i]:3===t.length?(r=t.slice()).unshift(1):r=t,s=o.Z.matVecMult(this.matrix3D,r),"central"===this.projectionType?(s[1]/=s[0],s[2]/=s[0],s[3]/=s[0],s[0]/=s[0],o.Z.matVecMult(this.viewPortTransform,s.slice(0,3))):s},_getW0:function(t,e,i){var r,s=o.Z.inverse(t),n=s[0][0]+e[1]*s[0][1]+e[2]*s[0][2],a=s[3][0]+e[1]*s[3][1]+e[2]*s[3][2];return r=i*s[0][3]-s[3][3],[1/((a*s[0][3]-n*s[3][3])/r),(a-n*i)/r]},project2DTo3DPlane:function(t,e,i){var r,s,n,a,h,l,c,d,u=e.slice(1);if(i=i||[1,0,0,0],a=o.Z.norm(u,3),n=o.Z.innerProduct(i.slice(1),u,3)/a,"parallel"===this.projectionType){(r=this.matrix3D.slice(0,3)).push([0,u[0],u[1],u[2]]),(s=t.coords.usrCoords.slice()).push(n);try{1===r[2][3]&&(r[2][1]=r[2][2]=.001*o.Z.eps),h=o.Z.Numerics.Gauss(r,s)}catch(t){h=[0,NaN,NaN,NaN]}}else{r=this.matrix3DRot,s=t.coords.usrCoords.slice(),l=o.Z.Numerics.Gauss(this.viewPortTransform,s),c=(d=this._getW0(r,l,n))[0],s=[l[0]*c,l[1]*c,l[2]*c,d[1]*c];try{1===r[2][3]&&(r[2][1]=r[2][2]=.001*o.Z.eps),(h=o.Z.Numerics.Gauss(r,s))[1]/=h[0],h[2]/=h[0],h[3]/=h[0],h[0]/=h[0]}catch(t){h=[0,NaN,NaN,NaN]}}return h},project2DTo3DVertical:function(t,e){var i=this.matrix3D[2],r=i[3],s=t.coords.usrCoords[2];return s-=i[0]*e[0]+i[1]*e[1]+i[2]*e[2],Math.abs(r)<o.Z.eps?e:e.slice(0,3).concat([s/r])},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 r,s,o,n;for(r=i,s=0;s<3;s++)0!==e[s]&&(o=(this.bbox3D[s][0]-t[s])/e[s],n=(this.bbox3D[s][1]-t[s])/e[s],r=i<0?Math.max(r,Math.min(o,n)):Math.min(r,Math.max(o,n)));return r},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 r,s,n,a,h=[[],[]];return i=i||e.d,r=o.Z.Geometry.meet3Planes(t.normal,t.d,e.normal,i,o.Z.crossProduct(t.normal,e.normal),0),s=o.Z.Geometry.meetPlanePlane(t.vec1,t.vec2,e.vec1,e.vec2),n=this.intersectionLineCube(r,s,1/0),a=o.Z.axpy(n,s,r),this.isInCube(a)&&(h[0]=a),n=this.intersectionLineCube(r,s,-1/0),a=o.Z.axpy(n,s,r),this.isInCube(a)&&(h[1]=a),h},getMesh:function(t,e,i){var s,o,n,a,h,l,c,d=[0,0,0],u=e[2],p=i[2],f=[],_=[];for(l=(r.Z.evaluate(e[1])-r.Z.evaluate(e[0]))/u,c=(r.Z.evaluate(i[1])-r.Z.evaluate(i[0]))/p,s=0;s<=u;s++){for(n=e[0]+l*s,o=0;o<=p;o++)a=i[0]+c*o,d=r.Z.isFunction(t)?t(n,a):[t[0](n,a),t[1](n,a),t[2](n,a)],h=this.project3DTo2D(d),f.push(h[1]),_.push(h[2]);f.push(NaN),_.push(NaN)}for(o=0;o<=p;o++){for(a=i[0]+c*o,s=0;s<=u;s++)n=e[0]+l*s,d=r.Z.isFunction(t)?t(n,a):[t[0](n,a),t[1](n,a),t[2](n,a)],h=this.project3DTo2D(d),f.push(h[1]),_.push(h[2]);f.push(NaN),_.push(NaN)}return[f,_]},animateAzimuth:function(){var t=this.az_slide._smin,e=this.az_slide._smax-t,i=this.az_slide.Value()+.1;this.az_slide.position=(i-t)/e,this.az_slide.position>1&&(this.az_slide.position=0),this.board.update(),this.timeoutAzimuth=setTimeout(function(){this.animateAzimuth()}.bind(this),200)},stopAzimuth:function(){clearTimeout(this.timeoutAzimuth),this.timeoutAzimuth=null},isVerticalDrag:function(){var t=this.board;return!!r.Z.evaluate(this.visProp.verticaldrag.enabled)&&t["_"+r.Z.evaluate(this.visProp.verticaldrag.key)+"Key"]},setView:function(t,e,i){return i=i||this.r,this.az_slide.setValue(t),this.el_slide.setValue(e),this.r=i,this.board.update(),this},nextView:function(){var t=r.Z.evaluate(this.visProp.values),e=this.visProp._currentview;return e=(e+1)%t.length,this.setCurrentView(e),this},previousView:function(){var t=r.Z.evaluate(this.visProp.values),e=this.visProp._currentview;return e=(e+t.length-1)%t.length,this.setCurrentView(e),this},setCurrentView:function(t){var e=r.Z.evaluate(this.visProp.values);return(t<0||t>=e.length)&&(t=(t%e.length+e.length)%e.length),this.setView(e[t][0],e[t][1],e[t][2]),this.visProp._currentview=t,this},_azEventHandler:function(t){var e=this.az_slide._smax,i=this.az_slide._smin,s=(e-i)/this.board.canvasWidth*r.Z.evaluate(this.visProp.az.pointer.speed),o=t.movementX,n=this.az_slide.Value(),a=this.el_slide.Value();return this.board.mode===this.board.BOARD_MODE_DRAG||(r.Z.evaluate(this.visProp.az.keyboard.enabled)&&("ArrowRight"===t.key?n+=r.Z.evaluate(this.visProp.az.keyboard.step)*Math.PI/180:"ArrowLeft"===t.key&&(n-=r.Z.evaluate(this.visProp.az.keyboard.step)*Math.PI/180)),r.Z.evaluate(this.visProp.az.pointer.enabled)&&0!==o&&null==t.key&&(n+=o*s),r.Z.evaluate(this.visProp.az.continuous)?n=(n+e)%e:n>0?n=Math.min(e,n):n<0&&(n=Math.max(i,n)),this.setView(n,a)),this},_elEventHandler:function(t){var e=this.el_slide._smax,i=this.el_slide._smin,s=(e-i)/this.board.canvasHeight*r.Z.evaluate(this.visProp.el.pointer.speed),o=t.movementY,n=this.az_slide.Value(),a=this.el_slide.Value();return this.board.mode===this.board.BOARD_MODE_DRAG||(r.Z.evaluate(this.visProp.el.keyboard.enabled)&&("ArrowUp"===t.key?a-=r.Z.evaluate(this.visProp.el.keyboard.step)*Math.PI/180:"ArrowDown"===t.key&&(a+=r.Z.evaluate(this.visProp.el.keyboard.step)*Math.PI/180)),r.Z.evaluate(this.visProp.el.pointer.enabled)&&0!==o&&null==t.key&&(a+=o*s),r.Z.evaluate(this.visProp.el.continuous)?a=(a+e)%e:a>0?a=Math.min(e,a):a<0&&(a=Math.max(i,a)),this.setView(n,a)),this},_trackballHandler:function(t){var e,r,s,o=this.board.getMousePosition(t);return s=new u.Z(i.Z.COORDS_BY_USER,[this.llftCorner[0]+.5*this.size[0],this.llftCorner[1]+.5*this.size[1]],this.board),e=o[0]-s.scrCoords[1],r=o[1]-s.scrCoords[2],this._trackball={dx:t.movementX,dy:t.movementY,x:e,y:r},this.board.update(),this},pointerDownHandler:function(t){var i,s,o;this._hasMoveAz=!1,this._hasMoveEl=!1,this._hasMoveTrackball=!1,this.board.mode===this.board.BOARD_MODE_NONE&&(r.Z.evaluate(this.visProp.trackball.enabled)?(i=r.Z.evaluate(this.visProp.trackball.button),s=r.Z.evaluate(this.visProp.trackball.key),-1!==i&&i!==t.button||!("none"===s||s.indexOf("shift")>-1&&t.shiftKey||s.indexOf("ctrl")>-1&&t.ctrlKey)||(o=r.Z.evaluate(this.visProp.trackball.outside)?document:this.board.containerObj,e.Z.addEvent(o,"pointermove",this._trackballHandler,this),this._hasMoveTrackball=!0)):(r.Z.evaluate(this.visProp.az.pointer.enabled)&&(i=r.Z.evaluate(this.visProp.az.pointer.button),s=r.Z.evaluate(this.visProp.az.pointer.key),-1!==i&&i!==t.button||!("none"===s||s.indexOf("shift")>-1&&t.shiftKey||s.indexOf("ctrl")>-1&&t.ctrlKey)||(o=r.Z.evaluate(this.visProp.az.pointer.outside)?document:this.board.containerObj,e.Z.addEvent(o,"pointermove",this._azEventHandler,this),this._hasMoveAz=!0)),r.Z.evaluate(this.visProp.el.pointer.enabled)&&(i=r.Z.evaluate(this.visProp.el.pointer.button),s=r.Z.evaluate(this.visProp.el.pointer.key),-1!==i&&i!==t.button||!("none"===s||s.indexOf("shift")>-1&&t.shiftKey||s.indexOf("ctrl")>-1&&t.ctrlKey)||(o=r.Z.evaluate(this.visProp.el.pointer.outside)?document:this.board.containerObj,e.Z.addEvent(o,"pointermove",this._elEventHandler,this),this._hasMoveEl=!0))),e.Z.addEvent(document,"pointerup",this.pointerUpHandler,this))},pointerUpHandler:function(t){var i;this._hasMoveAz&&(i=r.Z.evaluate(this.visProp.az.pointer.outside)?document:this.board.containerObj,e.Z.removeEvent(i,"pointermove",this._azEventHandler,this),this._hasMoveAz=!1),this._hasMoveEl&&(i=r.Z.evaluate(this.visProp.el.pointer.outside)?document:this.board.containerObj,e.Z.removeEvent(i,"pointermove",this._elEventHandler,this),this._hasMoveEl=!1),this._hasMoveTrackball&&(i=r.Z.evaluate(this.visProp.az.pointer.outside)?document:this.board.containerObj,e.Z.removeEvent(i,"pointermove",this._trackballHandler,this),this._hasMoveTrackball=!1),e.Z.removeEvent(document,"pointerup",this.pointerUpHandler,this)}}),t.Z.createView3D=function(i,s,n){var a,h,l,c,d,u,p,f,_=s[0],m=s[1];return h=r.Z.copyAttributes(n,i.options,"view3d"),(a=new t.Z.View3D(i,s,h)).defaultAxes=a.create("axes3d",s,n),d=_[0],u=_[1],p=m[0],f=m[1],(l=r.Z.copyAttributes(n,i.options,"view3d","az","slider")).name="az",(c=r.Z.copyAttributes(n,i.options,"view3d","el","slider")).name="el",a.az_slide=i.create("slider",[[d-1,u-2],[d+p+1,u-2],[r.Z.evaluate(l.min),r.Z.evaluate(l.start),r.Z.evaluate(l.max)]],l),a.el_slide=i.create("slider",[[d-1,u],[d-1,u+f],[r.Z.evaluate(c.min),r.Z.evaluate(c.start),r.Z.evaluate(c.max)]],c),a.board.highlightInfobox=function(t,e,i){var s,n,h,l,c,d,u='<span style="color:black; font-size:200%">⇄ &nbsp;</span>',p=i.board,f=null;for(a.isVerticalDrag()&&(u='<span style="color:black; font-size:200%">⇅ &nbsp;</span>'),n=0;n<i.parents.length&&!(f=p.objects[i.parents[n]]).is3D;n++);if(f){if(l=[1,0,0,f.coords[3]],a._w0=o.Z.innerProduct(a.matrix3D[0],l,4),h=a.project2DTo3DPlane(f.element2D,[1,0,0,1],l),!a.isInCube(h))return void a.board.highlightCustomInfobox("",f);s=r.Z.evaluate(f.visProp.infoboxdigits),d=a.board.infobox,c="auto"===s?d.useLocale()?[u,"(",d.formatNumberLocale(f.X())," | ",d.formatNumberLocale(f.Y())," | ",d.formatNumberLocale(f.Z()),")"]:[u,"(",r.Z.autoDigits(f.X())," | ",r.Z.autoDigits(f.Y())," | ",r.Z.autoDigits(f.Z()),")"]:d.useLocale()?[u,"(",d.formatNumberLocale(f.X(),s)," | ",d.formatNumberLocale(f.Y(),s)," | ",d.formatNumberLocale(f.Z(),s),")"]:[u,"(",r.Z.toFixed(f.X(),s)," | ",r.Z.toFixed(f.Y(),s)," | ",r.Z.toFixed(f.Z(),s),")"],a.board.highlightCustomInfobox(c.join(""),f)}else a.board.highlightCustomInfobox("("+t+", "+e+")",i)},a.BOARD_MODE_NONE=0,e.Z.addEvent(i.containerObj,"keydown",(function(t){var e,i=!1;!r.Z.evaluate(a.visProp.el.keyboard.enabled)||"ArrowUp"!==t.key&&"ArrowDown"!==t.key||("none"===(e=r.Z.evaluate(a.visProp.el.keyboard.key))||e.indexOf("shift")>-1&&t.shiftKey||e.indexOf("ctrl")>-1&&t.ctrlKey)&&(a._elEventHandler(t),i=!0),!r.Z.evaluate(a.visProp.el.keyboard.enabled)||"ArrowLeft"!==t.key&&"ArrowRight"!==t.key||("none"===(e=r.Z.evaluate(a.visProp.az.keyboard.key))||e.indexOf("shift")>-1&&t.shiftKey||e.indexOf("ctrl")>-1&&t.ctrlKey)&&(a._azEventHandler(t),i=!0),"PageUp"===t.key?(a.nextView(),i=!0):"PageDown"===t.key&&(a.previousView(),i=!0),i&&t.preventDefault()}),a),e.Z.addEvent(i.containerObj,"pointerdown",a.pointerDownHandler,a),a.board.update(),a},t.Z.registerElement("view3d",t.Z.createView3D);t.Z.View3D;t.Z.GeometryElement3D=function(t,e){this.elType=e,this.id=this.board.setId(this,e),this.view=t,this.element2D=null,this.is3D=!0,this.view.objects[this.id]=this,""!==this.name&&(this.view.elementsByName[this.name]=this)},t.Z.extend(t.Z.GeometryElement3D.prototype,{setAttr2D:function(t){var e=t;return e.name=this.name,e},setAttribute:function(e){var i,s,o,n,a,h={};for(i=0;i<arguments.length;i++)n=arguments[i],r.Z.isString(n)?(a=n.split(":"),h[r.Z.trim(a[0])]=r.Z.trim(a[1])):r.Z.isArray(n)?h[n[0]]=n[1]:t.Z.extend(h,n);for(i in h)if(h.hasOwnProperty(i))switch(s=i.replace(/\s+/g,"").toLowerCase(),o=h[i],s){case"numberpointshigh":case"stepsu":case"stepsv":r.Z.exists(this.visProp[s])&&(!t.Z.Validator[s]||t.Z.Validator[s]&&t.Z.Validator[s](o)||t.Z.Validator[s]&&r.Z.isFunction(o)&&t.Z.Validator[s](o()))&&(o=(!o.toLowerCase||"false"!==o.toLowerCase())&&o,this._set(s,o));break;default:r.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:r.Z.exists(this.element2D)&&(e=this.element2D.getAttribute(t))}return e},getAttributes:function(){var t,e,i={},s=["numberpointshigh","stepsu","stepsv"],o=s.length;for(r.Z.exists(this.element2D)&&(i=r.Z.merge(this.element2D.getAttributes())),t=0;t<o;t++)e=s[t],r.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 s,o,n,a,h,l,c,d,u,p,f,_,m,g,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(r.Z.exists(C.bbox3D))for(s=0;s<y.length;s++)O[s]=C.bbox3D[s][0],x[s]=C.bbox3D[s][1];else for(s=0;s<y.length;s++)O[s]=e[1][s],x[s]=e[2][1];for(c=(l=r.Z.copyAttributes(i,t.options,"axes3d")).axesposition,s=0;s<y.length;s++)b=(d=y[s])+P,"center"===c?(u=[0,0,0],(p=[0,0,0])[s]=x[s],S[b]=C.create("axis3d",[u,p],l[b.toLowerCase()])):(b+="Border",u=O.slice(),p=x.slice(),2===s?(u[1]=x[1],p[0]=O[0]):(u[s]=x[s],p[2]=O[2]),p[s]=x[s],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===s&&(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}),s=0;s<y.length;s++)for(a=(s+1)%3,h=(s+2)%3,d=y[s],o=0;o<E.length;o++)(u=[0,0,0])[s]=0===o?O[s]:x[s],_=[0,0,0],(f=[0,0,0])[a]=1,_[h]=1,m=[O[a],x[a]],g=[O[h],x[h]],b=d+"Plane"+E[o],l=r.Z.copyAttributes(i,t.options,"axes3d",b),S[b]=C.create("plane3d",[u,f,_,m,g],l),S[b].elType="axisplane3d";for(s=0;s<y.length;s++)for(d=y[s],o=0;o<E.length;o++)for(n=1;n<=2;n++)b=d+"Plane"+E[o]+y[a=(s+n)%3].toUpperCase()+"Axis",v=d+"Plane"+E[o],(u=[0,0,0])[s]=(p=[0,0,0])[s]=0===o?O[s]:x[s],u[a]=O[a],p[a]=x[a],l=r.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 s,o,n,a,h,l,c=e[0],d=e[1],u=e[2];return s=r.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])],s),s=r.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])],s),s=r.Z.copyAttributes(i,t.options,"axis3d"),c.create("arrow",[o,n],s)},t.Z.registerElement("axis3d",t.Z.createAxis3D),t.Z.createMesh3D=function(e,i,s){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",[[],[]],s)).updateDataArray=function(){var e,i,s,o,u=l[0],p=l[1],f=d[0],_=d[1],m=[0,0,0],g=[0,0,0],b=[0,0,0];if(this.dataX=[],this.dataY=[],r.Z.isFunction(a))b=a().slice(1);else for(o=0;o<3;o++)b[o]=r.Z.evaluate(a[o]);for(o=0;o<3;o++)m[o]=r.Z.evaluate(h[o]),g[o]=r.Z.evaluate(c[o]);for(e=t.Z.Math.norm(m,3),i=t.Z.Math.norm(g,3),o=0;o<3;o++)m[o]/=e,g[o]/=i;s=n.getMesh([function(t,e){return b[0]+t*m[0]+e*g[0]},function(t,e){return b[1]+t*m[1]+e*g[1]},function(t,e){return b[2]+t*m[2]+e*g[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=s[0],this.dataY=s[1]},o},t.Z.registerElement("mesh3d",t.Z.createMesh3D),t.Z.Circle3D=function(t,e,s,n,a){this.constructor(t.board,a,i.Z.OBJECT_TYPE_CIRCLE3D,i.Z.OBJECT_CLASS_3D),this.constructor3D(t,"circle3d"),this.center=this.board.select(e),this.normal=[0,0,0],this.curve,this.frame1,this.frame2,this.updateNormal=function(){var t,e;for(t=0;t<3;t++)this.normal[t]=r.Z.evaluate(s[t]);if(e=o.Z.norm(this.normal),Math.abs(e)>o.Z.eps)for(t=0;t<3;t++)this.normal[t]/=e},r.Z.exists(this.center._is_new)?(this.addChild(this.center),delete this.center._is_new):this.center.addChild(this),this.updateRadius=r.Z.createFunction(n,this.board),this.addParentsFromJCFunctions([this.updateRadius]),this.updateNormal();this.frame1=o.Z.crossProduct(this.normal,[1,0,0]);var h=o.Z.crossProduct(this.normal,[-.5,.8660254037844386,0]);o.Z.norm(h)>o.Z.norm(this.frame1)&&(this.frame1=h),this.frame2=o.Z.crossProduct(this.normal,this.frame1),this.normalizeFrame(),this.curve=t.create("curve3d",[t=>this.center.X()+this.Radius()*(Math.cos(t)*this.frame1[0]+Math.sin(t)*this.frame2[0]),t=>this.center.Y()+this.Radius()*(Math.cos(t)*this.frame1[1]+Math.sin(t)*this.frame2[1]),t=>this.center.Z()+this.Radius()*(Math.cos(t)*this.frame1[2]+Math.sin(t)*this.frame2[2]),[0,2*Math.PI]],a)},t.Z.Circle3D.prototype=new t.Z.GeometryElement,r.Z.copyPrototypeMethods(t.Z.Circle3D,t.Z.GeometryElement3D,"constructor3D"),t.Z.extend(t.Z.Circle3D.prototype,{update:function(){return this.updateNormal(),this.updateFrame(),this.curve.visProp.visible=!isNaN(this.Radius()),this},updateRenderer:function(){return this.needsUpdate=!1,this},setRadius:function(t){return this.updateRadius=r.Z.createFunction(t,this.board),this.addParentsFromJCFunctions([this.updateRadius]),this.board.update(),this},Radius:function(t){return r.Z.exists(t)?(this.setRadius(t),this.Radius()):Math.abs(this.updateRadius())},normalizeFrame:function(){var t,e=o.Z.norm(this.frame1),i=o.Z.norm(this.frame2);for(t=0;t<3;t++)this.frame1[t]/=e,this.frame2[t]/=i},updateFrame:function(){this.frame1=o.Z.crossProduct(this.frame2,this.normal),this.frame2=o.Z.crossProduct(this.normal,this.frame1),this.normalizeFrame()},projectCoords:function(t,e){return this.curve.projectCoords(t,e)},projectScreenCoords:function(t,e){return this.curve.projectScreenCoords(t,e)}}),t.Z.createCircle3D=function(e,i,s){var o,n=i[0],a=r.Z.copyAttributes(s,e.options,"circle3d"),h=r.Z.providePoints3D(n,[i[1]],s,"line3d",["point"])[0],l=i[2],c=i[3];return(o=new t.Z.Circle3D(n,h,l,c,a)).center.addChild(o),o.addChild(o.curve),o.update(),o},t.Z.registerElement("circle3d",t.Z.createCircle3D),t.Z.createIntersectionCircle3D=function(t,e,s){var o,n,a,l=e[0],c=e[1],d=e[2],u=r.Z.copyAttributes(s,t.options,"intersectioncircle3d");a=h.Z.intersectionFunction3D(l,c,d),n=l.create("point3d",a[0],{visible:!1}),o=l.create("circle3d",[n,a[1],a[2]],u);try{c.addChild(o),d.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_CIRCLE3D,o.elType="intersectioncircle3d",o.setParents([c.id,d.id]),o},t.Z.registerElement("intersectioncircle3d",t.Z.createIntersectionCircle3D),t.Z.Point3D=function(t,e,s,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=s,this.X=function(){return this.coords[1]},this.Y=function(){return this.coords[2]},this.Z=function(){return this.coords[3]},this._params=[],this._c2d=null,this.methodMap=r.Z.deepCopy(this.methodMap,{})},t.Z.Point3D.prototype=new t.Z.GeometryElement,r.Z.copyPrototypeMethods(t.Z.Point3D,t.Z.GeometryElement3D,"constructor3D"),t.Z.extend(t.Z.Point3D.prototype,{updateCoords:function(){var t;if(r.Z.isFunction(this.F))this.coords=r.Z.evaluate(this.F),this.coords.unshift(1);else for(this.coords[0]=1,t=0;t<3;t++)r.Z.isFunction(this.F[t])&&(this.coords[t+1]=r.Z.evaluate(this.F[t]));return this},initCoords:function(){var t;if(r.Z.isFunction(this.F))this.coords=r.Z.evaluate(this.F),this.coords.unshift(1);else for(this.coords[0]=1,t=0;t<3;t++)this.coords[t+1]=r.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;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,r;return this.element2D.draggable()&&0!==h.Z.distance(this._c2d,this.element2D.coords.usrCoords)?this.slide?(this.coords=this.slide.projectScreenCoords([this.element2D.X(),this.element2D.Y()],this._params),this.element2D.coords.setCoordinates(i.Z.COORDS_BY_USER,this.view.project3DTo2D(this.coords))):(this.view.isVerticalDrag()?e=this.view.project2DTo3DVertical(this.element2D,this.coords):(r=[1,0,0,this.coords[3]],e=this.view.project2DTo3DPlane(this.element2D,[1,0,0,1],r)),0!==e[0]&&(this.coords=this.view.project3DToCube(e))):(this.updateCoords(),this.slide&&(this.coords=this.slide.projectCoords([this.X(),this.Y(),this.Z()],this._params)),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},isIllDefined:function(){return r.Z.cmpArrays(this.coords,[0,0,0,0])},distance:function(t){var e=o.Z.eps*o.Z.eps,i=this.coords,r=t.coords;return i[0]*i[0]>e&&r[0]*r[0]>e?o.Z.hypot(r[1]-i[1],r[2]-i[2],r[3]-i[3]):Number.POSITIVE_INFINITY},__evt__update3D:function(t){}}),t.Z.createPoint3D=function(e,i,s){var o,n,a,h,l,c=i[0];if(a=i.length>2&&r.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=r.Z.copyAttributes(s,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.slide&&(l.slide.addChild(l),l.setParents(l.slide)),l._c2d=l.element2D.coords.usrCoords.slice(),l},t.Z.registerElement("point3d",t.Z.createPoint3D),t.Z.Curve3D=function(t,e,s,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=s,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=r.Z.deepCopy(this.methodMap,{})},t.Z.Curve3D.prototype=new t.Z.GeometryElement,r.Z.copyPrototypeMethods(t.Z.Curve3D,t.Z.GeometryElement3D,"constructor3D"),t.Z.extend(t.Z.Curve3D.prototype,{updateDataArray2D:function(){var t,e,i,s,o,n,a,h,l,c=r.Z.evaluate(this.visProp.numberpointshigh),d=[0,0,0];if(a=[],h=[],r.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(r.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=r.Z.evaluate(this.range),e=r.Z.evaluate(t[0]),s=((i=r.Z.evaluate(t[1]))-e)/(c-1),l=0,n=e;l<c&&n<=i;l++,n+=s)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},initParamsIfNeeded:function(t){0===t.length&&t.unshift(.5*(this.range[0]+this.range[1]))},projectCoords:function(t,e){return this.initParamsIfNeeded(e),h.Z.projectCoordsToParametric(t,this,e)},projectScreenCoords:function(t,e){return this.initParamsIfNeeded(e),h.Z.projectScreenCoordsToParametric(t,this,e)}}),t.Z.createCurve3D=function(e,i,s){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=r.Z.copyAttributes(s,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 s,n,a=e[0];if(!(e.length>=5&&(r.Z.isArray(e[1])||r.Z.isFunction(e[0])||r.Z.isString(e[0]))&&r.Z.isArray(e[2])&&3===e[1].length&&r.Z.isArray(e[3])&&3===e[2].length&&r.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=r.Z.copyAttributes(i,t.options,"vectorfield3d"),(s=a.create("curve3d",[[],[],[]],n)).setF=function(t,e){var i,o,n;return r.Z.isArray(t)?(i=r.Z.createFunction(t[0],this.board,e),o=r.Z.createFunction(t[1],this.board,e),n=r.Z.createFunction(t[2],this.board,e),this.F=function(t,e,r){return[i(t,e,r),o(t,e,r),n(t,e,r)]}):this.F=r.Z.createFunction(t,s.board,e),this},s.setF(e[1],"x, y, z"),s.xData=e[2],s.yData=e[3],s.zData=e[4],s.updateDataArray=function(){var e,i,s,n,a,h,l,c,d,u,p,f,_,m,g,b,v,Z=r.Z.evaluate(this.visProp.scale),C=[r.Z.evaluate(this.xData[0]),r.Z.evaluate(this.yData[0]),r.Z.evaluate(this.zData[0])],y=[r.Z.evaluate(this.xData[1]),r.Z.evaluate(this.yData[1]),r.Z.evaluate(this.zData[1])],P=[r.Z.evaluate(this.xData[2]),r.Z.evaluate(this.yData[2]),r.Z.evaluate(this.zData[2])],E=[(P[0]-C[0])/y[0],(P[1]-C[1])/y[1],(P[2]-C[2])/y[2]],O=r.Z.evaluate(this.visProp.arrowhead.enabled);for(O&&(_=r.Z.evaluate(this.visProp.arrowhead.size),v=r.Z.evaluate(this.visProp.arrowhead.angle),m=_/t.unitX,g=_/t.unitY,b=_/Math.sqrt(t.unitX*t.unitY)),this.dataX=[],this.dataY=[],this.dataZ=[],i=0,h=C[0];i<=y[0];h+=E[0],i++)for(s=0,l=C[1];s<=y[1];l+=E[1],s++)for(e=0,c=C[2];e<=y[2];c+=E[2],e++)n=this.F(h,l,c),(a=o.Z.norm(n))<Number.EPSILON||(n[0]*=Z,n[1]*=Z,n[2]*=Z,r.Z.concat(this.dataX,[h,h+n[0],NaN]),r.Z.concat(this.dataY,[l,l+n[1],NaN]),r.Z.concat(this.dataZ,[c,c+n[2],NaN]),O&&(a*=Z,d=Math.atan2(n[1],n[0]),u=(f=Math.asin(n[2]/a))-v,p=f+v,r.Z.concat(this.dataX,[h+n[0]-m*Math.cos(d)*Math.cos(u),h+n[0],h+n[0]-m*Math.cos(d)*Math.cos(p),NaN]),r.Z.concat(this.dataY,[l+n[1]-g*Math.sin(d)*Math.cos(u),l+n[1],l+n[1]-g*Math.sin(d)*Math.cos(p),NaN]),r.Z.concat(this.dataZ,[c+n[2]-b*Math.sin(p),c+n[2],c+n[2]-b*Math.sin(u),NaN])))},s.methodMap=r.Z.deepCopy(s.methodMap,{setF:"setF"}),s},t.Z.registerElement("vectorfield3D",t.Z.createVectorfield3D),t.Z.Line3D=function(t,e,s,o,n){this.constructor(t.board,n,i.Z.OBJECT_TYPE_LINE3D,i.Z.OBJECT_CLASS_3D),this.constructor3D(t,"line3d"),this.board.finalizeAdding(this),this.point=e,this.direction=s,this.range=o||[-1/0,1/0],this.point1=null,this.point2=null,this.methodMap=r.Z.deepCopy(this.methodMap,{})},t.Z.Line3D.prototype=new t.Z.GeometryElement,r.Z.copyPrototypeMethods(t.Z.Line3D,t.Z.GeometryElement3D,"constructor3D"),t.Z.extend(t.Z.Line3D.prototype,{getPointCoords:function(t){var e,i,s,o=[];if(e=[this.point.X(),this.point.Y(),this.point.Z()],r.Z.isFunction(this.direction))o=this.direction();else for(i=1;i<4;i++)o.push(r.Z.evaluate(this.direction[i]));return s=r.Z.evaluate(t),t=this.view.intersectionLineCube(e,o,s),[e[0]+o[0]*t,e[1]+o[1]*t,e[2]+o[2]*t]},update:function(){return this},updateRenderer:function(){return this.needsUpdate=!1,this},projectCoords:function(t){var e,i=this.getPointCoords(0),r=this.getPointCoords(1),s=[r[0]-i[0],r[1]-i[1],r[2]-i[2]],n=[t[0]-i[0],t[1]-i[1],t[2]-i[2]],a=o.Z.innerProduct(n,s)/o.Z.innerProduct(s,s),h=Math.min(Math.max(a,this.range[0]),this.range[1]);return(e=this.getPointCoords(h).slice()).unshift(1),e},projectScreenCoords:function(t){var e,i,r,s=this.getPointCoords(0),n=this.getPointCoords(1),a=this.view.project3DTo2D(s).slice(1,3),h=this.view.project3DTo2D(n).slice(1,3),l=[h[0]-a[0],h[1]-a[1]],c=o.Z.innerProduct(l,l),d=[t[0]-a[0],t[1]-a[1]],u=o.Z.innerProduct(d,l)/c;if("central"===this.view.projectionType){const t=this.getPointCoords(.5),i=this.view.project3DTo2D(t).slice(1,3),r=[i[0]-a[0],i[1]-a[1]],s=o.Z.innerProduct(r,l)/c;e=(1-s)*u/((1-2*s)*u+s)}else e=u;return i=Math.min(Math.max(e,this.range[0]),this.range[1]),(r=this.getPointCoords(i).slice()).unshift(1),r}}),t.Z.createLine3D=function(e,i,s){var o,n,a,h,l,c,d,u,p,f=i[0];return o=r.Z.copyAttributes(s,e.options,"line3d"),r.Z.isPoint3D(i[2])||3===i.length&&(r.Z.isArray(i[2])||r.Z.isFunction(i[2]))?(c=r.Z.providePoints3D(f,[i[1]],s,"line3d",["point1"])[0],d=r.Z.providePoints3D(f,[i[2]],s,"line3d",["point2"])[0],h=function(){return[d.X()-c.X(),d.Y()-c.Y(),d.Z()-c.Z()]},l=[0,1],p=new t.Z.Line3D(f,c,h,l,o),(u=r.Z.providePoints3D(f,[[0,0,0],[0,0,0]],{visible:!1},"line3d",["point1","point2"]))[0].F=function(){var t=0;return r.Z.evaluate(p.visProp.straightfirst)&&(t=-1/0),p.getPointCoords(t)},u[1].F=function(){var t=1;return r.Z.evaluate(p.visProp.straightlast)&&(t=1/0),p.getPointCoords(t)},u[0].prepareUpdate().update(),u[1].prepareUpdate().update(),(o=p.setAttr2D(o)).straightfirst=!1,o.straightlast=!1,p.element2D=f.create("segment",[u[0].element2D,u[1].element2D],o),p.endpoints=u,p.addChild(u[0]),p.addChild(u[1]),p.setParents(u)):(a=r.Z.providePoints3D(f,[i[1]],s,"line3d",["point"])[0],r.Z.isFunction(i[2])?h=i[2]:3===i[2].length?h=[1].concat(i[2]):4===i[2].length&&(h=i[2]),l=i[3],n=r.Z.providePoints3D(f,[[0,0,0],[0,0,0]],s,"line3d",["point1","point2"]),p=new t.Z.Line3D(f,a,h,l,o),n[0].F=function(){return p.getPointCoords(r.Z.evaluate(p.range[0]))},n[0].prepareUpdate().update(),c=n[0],n[1].F=function(){return p.getPointCoords(r.Z.evaluate(p.range[1]))},n[1].prepareUpdate().update(),d=n[1],(o=p.setAttr2D(o)).straightfirst=!1,o.straightlast=!1,p.element2D=f.create("segment",[c.element2D,d.element2D],o),p.endpoints=n),p.addChild(p.element2D),p.inherits.push(p.element2D),p.element2D.setParents(p),p.point1=c,p.point2=d,p.point1._is_new?(p.addChild(p.point1),delete p.point1._is_new):p.point1.addChild(p),p.point2._is_new?(p.addChild(p.point2),delete p.point2._is_new):p.point2.addChild(p),r.Z.exists(a)&&(a._is_new?(p.addChild(a),delete a._is_new):a.addChild(p)),p.update(),p.element2D.prepareUpdate().update().updateRenderer(),p},t.Z.registerElement("line3d",t.Z.createLine3D),t.Z.Plane3D=function(t,e,s,o,n,a,h){this.constructor(t.board,h,i.Z.OBJECT_TYPE_PLANE3D,i.Z.OBJECT_CLASS_3D),this.constructor3D(t,"plane3d"),this.board.finalizeAdding(this),this.point=e,this.direction1=s,this.direction2=n,this.range1=o||[-1/0,1/0],this.range2=a||[-1/0,1/0],this.vec1=[0,0,0],this.vec2=[0,0,0],this.grid=null,this.normal=[0,0,0],this.d=0,this.updateNormal(),this.methodMap=r.Z.deepCopy(this.methodMap,{})},t.Z.Plane3D.prototype=new t.Z.GeometryElement,r.Z.copyPrototypeMethods(t.Z.Plane3D,t.Z.GeometryElement3D,"constructor3D"),t.Z.extend(t.Z.Plane3D.prototype,{updateNormal:function(){var t,e;for(t=0;t<3;t++)this.vec1[t]=r.Z.evaluate(this.direction1[t]),this.vec2[t]=r.Z.evaluate(this.direction2[t]);if(this.normal=o.Z.crossProduct(this.vec1,this.vec2),e=o.Z.norm(this.normal),Math.abs(e)>o.Z.eps)for(t=0;t<3;t++)this.normal[t]/=e;return this.d=o.Z.innerProduct(this.point.coords.slice(1),this.normal,3),this},updateDataArray:function(){var t,e,i,s,n,a,l,c,d,u,p,f,_,m,g=["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&&r.Z.evaluate(this.range1[0])===-1/0&&r.Z.evaluate(this.range1[1])===1/0&&r.Z.evaluate(this.range2[0])===-1/0&&r.Z.evaluate(this.range2[1])===1/0){for(u=0;u<g.length;u++){if(3===(y=P.intersectionPlanePlane(this,P.defaultAxes[g[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[g[u]].normal,3),3===(y=P.intersectionPlanePlane(this,P.defaultAxes[g[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],m=_,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(_===m){console.log("Error: update plane3d: did not find next",_);break}}while(0!==_);n=P.project3DTo2D(b[0][0]),this.dataX.push(n[1]),this.dataY.push(n[2])}else{for(t=r.Z.evaluate(this.range1[0]),e=r.Z.evaluate(this.range1[1]),i=r.Z.evaluate(this.range2[0]),s=r.Z.evaluate(this.range2[1]),C=this.point.coords.slice(1),v=this.vec1.slice(),Z=this.vec2.slice(),a=o.Z.norm(v,3),l=o.Z.norm(Z,3),d=0;d<3;d++)v[d]/=a,Z[d]/=l;for(u=0;u<4;u++){switch(u){case 0:p=t,f=i;break;case 1:p=e,f=i;break;case 2:p=e,f=s;break;case 3:p=t,f=s}for(d=0;d<3;d++)y[d]=C[d]+p*v[d]+f*Z[d];n=P.project3DTo2D(y),this.dataX.push(n[1]),this.dataY.push(n[2])}this.dataX.push(this.dataX[0]),this.dataY.push(this.dataY[0])}return{X:this.dataX,Y:this.dataY}},update:function(){return this},updateRenderer:function(){return this.needsUpdate=!1,this}}),t.Z.createPlane3D=function(e,i,s){var o,n,a,h,l=i[0],c=i[2],d=i[3],u=i[4]||[-1/0,1/0],p=i[5]||[-1/0,1/0];return n=r.Z.providePoints3D(l,[i[1]],s,"plane3d",["point"])[0],o=r.Z.copyAttributes(s,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=r.Z.copyAttributes(s.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 n.coords},c,u,d,p],o),a.grid=h,a.addChild(h),a.inherits.push(h),h.setParents(a)),a.element2D.prepareUpdate().update(),e.isSuspendedUpdate||a.element2D.updateVisibility().updateRenderer(),a},t.Z.registerElement("plane3d",t.Z.createPlane3D),t.Z.createIntersectionLine3D=function(t,e,s){var o,n,a,l=e[0],c=e[1],d=e[2],u=r.Z.copyAttributes(s,t.options,"intersectionline3d"),p=[];for(n=0;n<2;n++)a=h.Z.intersectionFunction3D(l,c,d,n),p[n]=l.create("point3d",a,u["point"+(n+1)]);o=l.create("line3d",p,u);try{c.addChild(o),d.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_LINE3D,o.elType="intersectionline3d",o.setParents([c.id,d.id]),o},t.Z.registerElement("intersectionline3d",t.Z.createIntersectionLine3D),t.Z.Polygon3D=function(t,e,r){var s;for(this.constructor(t.board,r,i.Z.OBJECT_TYPE_POLYGON3D,i.Z.OBJECT_CLASS_3D),this.constructor3D(t,"polygon3d"),this.board.finalizeAdding(this),this.vertices=[],s=0;s<e.length;s++)this.vertices[s]=this.board.select(e[s]),this.vertices[s]._is_new&&(delete this.vertices[s]._is_new,this.vertices[s]._is_new_pol=!0)},t.Z.Polygon3D.prototype=new t.Z.GeometryElement,r.Z.copyPrototypeMethods(t.Z.Polygon3D,t.Z.GeometryElement3D,"constructor3D"),t.Z.extend(t.Z.Polygon3D.prototype,{update:function(){return this},updateRenderer:function(){return this.needsUpdate=!1,this}}),t.Z.createPolygon3D=function(e,s,o){var n,a,h,l,c,d,u=s[0],p=[],f=[],_=!1;if(c=r.Z.copyAttributes(o,e.options,"polygon3d"),null===(l=e.select(s[1]))&&(l=s[1]),r.Z.isObject(l)&&l.type===i.Z.OBJECT_TYPE_POLYGON3D&&r.Z.isTransformationOrArray(s[2]))for(_=!0,h=l.vertices.length-1,d=r.Z.copyAttributes(o,e.options,"polygon3d","vertices"),a=0;a<h;a++)d.withlabel&&(d.name=""===l.vertices[a].name?"":l.vertices[a].name+"'"),p.push(e.create("point3d",[l.vertices[a],s[2]],d));else if(!1===(p=r.Z.providePoints3D(u,s.slice(1),o,"polygon3d",["vertices"])))throw new Error("JSXGraph: Can't create polygon3d with parent types other than 'point' and 'coordinate arrays' or a function returning an array of coordinates. 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debugLine,t.Z.debugWST,t.Z.deepCopy,t.Z.def,t.Z.deprecated,t.Z.eliminateDuplicates,t.Z.escapeHTML,t.Z.evalSlider,t.Z.evaluate,t.Z.filterElements,t.Z.getBoardByContainerId,t.Z.getCSSTransformMatrix,t.Z.getCSSTransform,t.Z.getDimensions,t.Z.getOffset,t.Z.getPosition,t.Z.getProp,t.Z.hex2rgb,t.Z.hsv2rgb,t.Z.isAndroid,t.Z.isApple,t.Z.isArray,t.Z.isDesktop,t.Z.isInArray,t.Z.isInObject,t.Z.isMetroApp,t.Z.isMobile,t.Z.isMozilla,t.Z.isBoard,t.Z.isName,t.Z.isNode,t.Z.isNumber,t.Z.isObject,t.Z.isPoint,t.Z.isPoint3D,t.Z.isPointType,t.Z.isPointType3D,t.Z.isString,t.Z.isTouchDevice,t.Z.isTransformationOrArray,t.Z.isWebWorker,t.Z.isWebkitAndroid,t.Z.isWebkitApple,t.Z.keys,t.Z.lightenColor,t.Z.merge,t.Z.normalizePointFace,t.Z.providePoints,t.Z.registerElement,t.Z.registerReader,t.Z.removeAllEvents,t.Z.removeElementFromArray,t.Z.removeEvent,t.Z.rgb2LMS,t.Z.rgb2bw,t.Z.rgb2cb,t.Z.rgb2css,t.Z.rgb2hex,t.Z.rgb2hsv,t.Z.rgbParser,t.Z.rgba2rgbo,t.Z.rgbo2rgba,t.Z.sanitizeHTML,t.Z.shortcut,t.Z.str2Bool,t.Z.supportsCanvas,t.Z.supportsPointerEvents,t.Z.supportsSVG,t.Z.supportsVML,t.Z.swap,t.Z.timedChunk,t.Z.toFixed,t.Z.toFullscreen,t.Z.toJSON,t.Z.trim,t.Z.trimNumber,t.Z.truncate,t.Z.unescapeHTML,t.Z.uniqueArray,t.Z.useBlackWhiteOptions,t.Z.useStandardOptions,t.Z.warn;e.Z.isBrowser?window.JXG=t.Z:e.Z.isWebWorker()&&(self.JXG=t.Z);var 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