/*
    JSXGraph 1.6.0

    Copyright 2008-2023
        Matthias Ehmann,
        Michael Gerhaeuser,
        Carsten Miller,
        Bianca Valentin,
        Andreas Walter,
        Alfred Wassermann,
        Peter Wilfahrt

    This file is part of JSXGraph.

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

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

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

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

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

/**
 * UTF-8 Decoder by Bjoern Hoehrmann
 *
 * Copyright (c) 2008-2009 Bjoern Hoehrmann <bjoern@hoehrmann.de>
 *
 * Permission is hereby granted, free of charge, to any person obtaining a copy of this
 * software and associated documentation files (the "Software"), to deal in the Software
 * without restriction, including without limitation the rights to use, copy, modify, merge,
 * publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons
 * to whom the Software is furnished to do so, subject to the following conditions:
 *
 * The above copyright notice and this permission notice shall be included in all copies or
 * substantial portions of the Software.
 *
 * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING
 * BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
 * NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM,
 * DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
 * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
 */
!function(t,e){"object"==typeof exports&&"object"==typeof module?module.exports=e():"function"==typeof define&&define.amd?define([],e):"object"==typeof exports?exports.JXG=e():t.JXG=e()}("undefined"!=typeof self?self:this,(function(){return function(){"use strict";var __webpack_modules__={351:function(t,e,i){var s,r=i(765),o="1.6.0";s={version:o,licenseText:"JSXGraph v1.6.0 Copyright (C) see 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e,i,s,r,n,a,h,d,u=0,p=1/0,f=null,_=c.Z.evaluate(this.visProp.ignoredsnaptopoints),m=!1;if(r=this.board.objectsList.length,_&&(h=_.length),c.Z.evaluate(this.visProp.snaptopoints)||t){for(n=c.Z.evaluate(this.visProp.attractorunit),a=c.Z.evaluate(this.visProp.attractordistance),e=0;e<r;e++){if(i=this.board.objectsList[e],_){for(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&&(s=o.Z.projectPointToPoint(this,i,this.board),(u="screen"===n?s.distance(l.Z.COORDS_BY_SCREEN,this.coords):s.distance(l.Z.COORDS_BY_USER,this.coords))<a&&u<p&&(p=u,f=s))}null!==f&&this.coords.setCoordinates(l.Z.COORDS_BY_USER,f.usrCoords)}return this},snapToPoints:function(t){return this.handleSnapToPoints(t)},handleAttractors:function(){var t,e,i,s,r=0,n=c.Z.evaluate(this.visProp.attractorunit),a=c.Z.evaluate(this.visProp.attractordistance),d=c.Z.evaluate(this.visProp.snatchdistance),u=c.Z.evaluate(this.visProp.attractors),p=u.length;if(0!==a){for(t=0;t<p;t++)if(e=this.board.select(u[t]),c.Z.exists(e)&&e!==this){if(c.Z.isPoint(e)?i=o.Z.projectPointToPoint(this,e,this.board):e.elementClass===l.Z.OBJECT_CLASS_LINE?(s=o.Z.projectCoordsToSegment(this.coords.usrCoords,e.point1.coords.usrCoords,e.point2.coords.usrCoords),i=!c.Z.evaluate(e.visProp.straightfirst)&&s[1]<0?e.point1.coords:!c.Z.evaluate(e.visProp.straightlast)&&s[1]>1?e.point2.coords:new h.Z(l.Z.COORDS_BY_USER,s[0],this.board)):e.elementClass===l.Z.OBJECT_CLASS_CIRCLE?i=o.Z.projectPointToCircle(this,e,this.board):e.elementClass===l.Z.OBJECT_CLASS_CURVE?i=o.Z.projectPointToCurve(this,e,this.board)[0]:e.type===l.Z.OBJECT_TYPE_TURTLE?i=o.Z.projectPointToTurtle(this,e,this.board)[0]:e.type===l.Z.OBJECT_TYPE_POLYGON&&(i=new h.Z(l.Z.COORDS_BY_USER,o.Z.projectCoordsToPolygon(this.coords.usrCoords,e),this.board)),(r="screen"===n?i.distance(l.Z.COORDS_BY_SCREEN,this.coords):i.distance(l.Z.COORDS_BY_USER,this.coords))<a){this.type===l.Z.OBJECT_TYPE_GLIDER&&(e===this.slideObject||this.slideObject&&this.onPolygon&&this.slideObject.parentPolygon===e)||this.makeGlider(e);break}r>=d&&(e===this.slideObject||this.slideObject&&this.onPolygon&&this.slideObject.parentPolygon===e)&&this.popSlideObject()}return this}},setPositionDirectly:function(t,e){var i,s,o,n,d=this.coords;if(this.relativeCoords)return s=new h.Z(t,e,this.board),c.Z.evaluate(this.visProp.islabel)?(o=a.Z.subtract(s.scrCoords,d.scrCoords),this.relativeCoords.scrCoords[1]+=o[1],this.relativeCoords.scrCoords[2]+=o[2]):(o=a.Z.subtract(s.usrCoords,d.usrCoords),this.relativeCoords.usrCoords[1]+=o[1],this.relativeCoords.usrCoords[2]+=o[2]),this;for(this.coords.setCoordinates(t,e),this.handleSnapToGrid(),this.handleSnapToPoints(),this.handleAttractors(),i=this.transformations.length-1;i>=0;i--)t===l.Z.COORDS_BY_SCREEN?n=new h.Z(t,e,this.board).usrCoords:(2===e.length&&(e=[1].concat(e)),n=e),this.initialCoords.setCoordinates(l.Z.COORDS_BY_USER,r.Z.matVecMult(r.Z.inverse(this.transformations[i].matrix),n));return this.prepareUpdate().update(),this.board.isSuspendedUpdate&&this.type===l.Z.OBJECT_TYPE_GLIDER&&this.updateGlider(),this},setPositionByTransform:function(t,e){var i;return e=new h.Z(t,e,this.board),i=this.board.create("transform",e.usrCoords.slice(1),{type:"translate"}),this.transformations.length>0&&this.transformations[this.transformations.length-1].isNumericMatrix?this.transformations[this.transformations.length-1].melt(i):this.addTransform(this,i),this.prepareUpdate().update(),this},setPosition:function(t,e){return this.setPositionDirectly(t,e)},setGliderPosition:function(t){return this.type===l.Z.OBJECT_TYPE_GLIDER&&(this.position=t,this.board.update()),this},makeGlider:function(t){var e,i,r,o=this.board.select(t),n=!1;if(o.type===l.Z.OBJECT_TYPE_POLYGON){for(e=Number.MAX_VALUE,i=0;i<o.borders.length;i++)(r=s.Z.Math.Geometry.distPointLine(this.coords.usrCoords,o.borders[i].stdform))<e&&(e=r,t=o.borders[i]);o=this.board.select(t),n=!0}if(!c.Z.exists(o))throw new Error("JSXGraph: slide object undefined.");if(o.type===l.Z.OBJECT_TYPE_TICKS)throw new Error("JSXGraph: gliders on ticks are not possible.");return this.slideObject=this.board.select(t),this.slideObjects.push(this.slideObject),this.addParents(t),this.type=l.Z.OBJECT_TYPE_GLIDER,this.elType="glider",this.visProp.snapwidth=-1,this.slideObject.addChild(this),this.isDraggable=!0,this.onPolygon=n,this.generatePolynomial=function(){return this.slideObject.generatePolynomial(this)},this.updateGlider(),this.needsUpdateFromParent=!0,this.updateGliderFromParent(),this},popSlideObject:function(){this.slideObjects.length>0&&(this.slideObjects.pop(),this.slideObject.removeChild(this),0===this.slideObjects.length?(this.type=this._org_type,this.type===l.Z.OBJECT_TYPE_POINT?this.elType="point":this.elementClass===l.Z.OBJECT_CLASS_TEXT?this.elType="text":this.type===l.Z.OBJECT_TYPE_IMAGE?this.elType="image":this.type===l.Z.OBJECT_TYPE_FOREIGNOBJECT&&(this.elType="foreignobject"),this.slideObject=null):this.slideObject=this.slideObjects[this.slideObjects.length-1])},free:function(){var t,e;if(this.type!==l.Z.OBJECT_TYPE_GLIDER){if(this.transformations.length=0,delete this.updateConstraint,this.isConstrained=!1,this.isDraggable)return;this.isDraggable=!0,this.elementClass===l.Z.OBJECT_CLASS_POINT&&(this.type=l.Z.OBJECT_TYPE_POINT,this.elType="point"),this.XEval=function(){return this.coords.usrCoords[1]},this.YEval=function(){return this.coords.usrCoords[2]},this.ZEval=function(){return this.coords.usrCoords[0]},this.Xjc=null,this.Yjc=null}for(t in this.board.objects)this.board.objects.hasOwnProperty(t)&&(e=this.board.objects[t]).descendants&&(delete e.descendants[this.id],delete e.childElements[this.id],this.hasLabel&&(delete e.descendants[this.label.id],delete e.childElements[this.label.id]));this.ancestors={},this.slideObject=null,this.slideObjects=[],this.elementClass===l.Z.OBJECT_CLASS_POINT?(this.type=l.Z.OBJECT_TYPE_POINT,this.elType="point"):this.elementClass===l.Z.OBJECT_CLASS_TEXT?(this.type=this._org_type,this.elType="text"):this.elementClass===l.Z.OBJECT_CLASS_OTHER&&(this.type=this._org_type,this.elType="image")},addConstraint:function(t){var e,i,s=[],r=["X","Y"],o=function(t){return function(){return t}},n=function(t){return function(){return t.Value()}};for(this.elementClass===l.Z.OBJECT_CLASS_POINT&&(this.type=l.Z.OBJECT_TYPE_CAS),this.isDraggable=!1,e=0;e<t.length;e++)i=t[e],c.Z.isString(i)?(s[e]=this.board.jc.snippet(i,!0,null,!0),this.addParentsFromJCFunctions([s[e]]),2===t.length&&(this[r[e]+"jc"]=t[e])):c.Z.isFunction(i)?s[e]=i:c.Z.isNumber(i)?s[e]=o(i):c.Z.isObject(i)&&c.Z.isFunction(i.Value)&&(s[e]=n(i)),s[e].origin=i;return 1===t.length?this.updateConstraint=function(){var t=s[0]();return c.Z.isArray(t)?this.coords.setCoordinates(l.Z.COORDS_BY_USER,t):this.coords=t,this}:2===t.length?(this.XEval=s[0],this.YEval=s[1],this.addParents([s[0].origin,s[1].origin]),this.updateConstraint=function(){return this.coords.setCoordinates(l.Z.COORDS_BY_USER,[this.XEval(),this.YEval()]),this}):(this.ZEval=s[0],this.XEval=s[1],this.YEval=s[2],this.addParents([s[0].origin,s[1].origin,s[2].origin]),this.updateConstraint=function(){return this.coords.setCoordinates(l.Z.COORDS_BY_USER,[this.ZEval(),this.XEval(),this.YEval()]),this}),this.isConstrained=!0,this.prepareUpdate().update(),this.board.isSuspendedUpdate||(this.updateVisibility().updateRenderer(),this.hasLabel&&this.label.fullUpdate()),this},addAnchor:function(t,e){this.relativeCoords=e?new h.Z(l.Z.COORDS_BY_SCREEN,t.slice(0,2),this.board):new h.Z(l.Z.COORDS_BY_USER,t,this.board),this.element.addChild(this),e&&this.addParents(this.element),this.XEval=function(){var t,e,i;return c.Z.evaluate(this.visProp.islabel)?(i=c.Z.evaluate(this.visProp.offset),t=parseFloat(i[0]),e=this.element.getLabelAnchor(),new h.Z(l.Z.COORDS_BY_SCREEN,[t+this.relativeCoords.scrCoords[1]+e.scrCoords[1],0],this.board).usrCoords[1]):(e=this.element.getTextAnchor(),this.relativeCoords.usrCoords[1]+e.usrCoords[1])},this.YEval=function(){var t,e,i;return c.Z.evaluate(this.visProp.islabel)?(i=c.Z.evaluate(this.visProp.offset),t=-parseFloat(i[1]),e=this.element.getLabelAnchor(),new h.Z(l.Z.COORDS_BY_SCREEN,[0,t+this.relativeCoords.scrCoords[2]+e.scrCoords[2]],this.board).usrCoords[2]):(e=this.element.getTextAnchor(),this.relativeCoords.usrCoords[2]+e.usrCoords[2])},this.ZEval=c.Z.createFunction(1,this.board,""),this.updateConstraint=function(){this.coords.setCoordinates(l.Z.COORDS_BY_USER,[this.ZEval(),this.XEval(),this.YEval()])},this.isConstrained=!0,this.updateConstraint()},updateTransform:function(t){var e;if(0===this.transformations.length)return this;for(e=0;e<this.transformations.length;e++)this.transformations[e].update();return this},addTransform:function(t,e){var i,s=c.Z.isArray(e)?e:[e],r=s.length;for(0===this.transformations.length&&(this.baseElement=t),i=0;i<r;i++)this.transformations.push(s[i]);return this},startAnimation:function(t,e,i){var s=c.Z.evaluate(t),r=c.Z.evaluate(e),o=this;return i=c.Z.evaluate(i)||250,this.type!==l.Z.OBJECT_TYPE_GLIDER||c.Z.exists(this.intervalCode)||(this.intervalCode=window.setInterval((function(){o._anim(s,r)}),i),c.Z.exists(this.intervalCount)||(this.intervalCount=0)),this},stopAnimation:function(){return c.Z.exists(this.intervalCode)&&(window.clearInterval(this.intervalCode),delete this.intervalCode),this},moveAlong:function(t,e,i){i=i||{};var s,r,o,a,h,d=[],u=[],p=e/this.board.attr.animationdelay,f=function(e,i){return function(){return t[e][i]}};if(c.Z.isArray(t)){for(o=t.length,s=0;s<o;s++)c.Z.isPoint(t[s])?u[s]=t[s]:u[s]={elementClass:l.Z.OBJECT_CLASS_POINT,X:f(s,0),Y:f(s,1)};if(0===(e=e||0))return this.setPosition(l.Z.COORDS_BY_USER,[u[u.length-1].X(),u[u.length-1].Y()]),this.board.update(this);if(!c.Z.exists(i.interpolate)||i.interpolate)for(r=n.Z.Neville(u),s=0;s<p;s++)d[s]=[],d[s][0]=r[0]((p-s)/p*r[3]()),d[s][1]=r[1]((p-s)/p*r[3]());else{for(o=t.length-1,s=0;s<p;++s)h=s/p*o-(a=Math.floor(s/p*o)),d[s]=[],d[s][0]=(1-h)*u[a].X()+h*u[a+1].X(),d[s][1]=(1-h)*u[a].Y()+h*u[a+1].Y();d.push([u[o].X(),u[o].Y()]),d.reverse()}this.animationPath=d}else c.Z.isFunction(t)&&(this.animationPath=t,this.animationStart=(new Date).getTime());return this.animationCallback=i.callback,this.board.addAnimation(this),this},moveTo:function(t,e,i){i=i||{},t=new h.Z(l.Z.COORDS_BY_USER,t,this.board);var s,o=this.board.attr.animationdelay,n=Math.ceil(e/o),a=[],d=this.coords.usrCoords[1],u=this.coords.usrCoords[2],p=t.usrCoords[1]-d,f=t.usrCoords[2]-u,_=function(t){return i.effect&&"<>"===i.effect?Math.pow(Math.sin(t/n*Math.PI/2),2):t/n};if(!c.Z.exists(e)||0===e||Math.abs(t.usrCoords[0]-this.coords.usrCoords[0])>r.Z.eps)return this.setPosition(l.Z.COORDS_BY_USER,t.usrCoords),this.board.update(this);if(!c.Z.exists(i.callback)&&Math.abs(p)<r.Z.eps&&Math.abs(f)<r.Z.eps)return this;for(s=n;s>=0;s--)a[n-s]=[t.usrCoords[0],d+p*_(s),u+f*_(s)];return this.animationPath=a,this.animationCallback=i.callback,this.board.addAnimation(this),this},visit:function(t,e,i){t=new h.Z(l.Z.COORDS_BY_USER,t,this.board);var s,r,o,n=this.board.attr.animationdelay,a=[],d=this.coords.usrCoords[1],u=this.coords.usrCoords[2],p=t.usrCoords[1]-d,f=t.usrCoords[2]-u,_=function(t){var e=t<o/2?2*t/o:2*(o-t)/o;return i.effect&&"<>"===i.effect?Math.pow(Math.sin(e*Math.PI/2),2):e};for(c.Z.isNumber(i)?i={repeat:i}:(i=i||{},c.Z.exists(i.repeat)||(i.repeat=1)),o=Math.ceil(e/(n*i.repeat)),r=0;r<i.repeat;r++)for(s=o;s>=0;s--)a[r*(o+1)+o-s]=[t.usrCoords[0],d+p*_(s),u+f*_(s)];return this.animationPath=a,this.animationCallback=i.callback,this.board.addAnimation(this),this},_anim:function(t,e){var i,s,r,n,a,h,c,d,u;return this.intervalCount+=1,this.intervalCount>e&&(this.intervalCount=0),this.slideObject.elementClass===l.Z.OBJECT_CLASS_LINE?(c=this.slideObject.point1.coords.scrCoords,d=this.slideObject.point2.coords.scrCoords,i=Math.round((d[1]-c[1])*this.intervalCount/e),s=Math.round((d[2]-c[2])*this.intervalCount/e),t>0?n=this.slideObject.point1:(n=this.slideObject.point2,i*=-1,s*=-1),this.coords.setCoordinates(l.Z.COORDS_BY_SCREEN,[n.coords.scrCoords[1]+i,n.coords.scrCoords[2]+s])):this.slideObject.elementClass===l.Z.OBJECT_CLASS_CURVE?(a=t>0?Math.round(this.intervalCount/e*this.board.canvasWidth):Math.round((e-this.intervalCount)/e*this.board.canvasWidth),this.coords.setCoordinates(l.Z.COORDS_BY_SCREEN,[a,0]),u=o.Z.projectPointToCurve(this,this.slideObject,this.board),this.coords=u[0],this.position=u[1]):this.slideObject.elementClass===l.Z.OBJECT_CLASS_CIRCLE&&(r=2*Math.PI,r*=t<0?this.intervalCount/e:(e-this.intervalCount)/e,h=this.slideObject.Radius(),this.coords.setCoordinates(l.Z.COORDS_BY_USER,[this.slideObject.center.coords.usrCoords[1]+h*Math.cos(r),this.slideObject.center.coords.usrCoords[2]+h*Math.sin(r)])),this.board.update(this),this},getTextAnchor:function(){return this.coords},getLabelAnchor:function(){return this.coords},getParents:function(){var t=[this.Z(),this.X(),this.Y()];return 0!==this.parents.length&&(t=this.parents),this.type===l.Z.OBJECT_TYPE_GLIDER&&(t=[this.X(),this.Y(),this.slideObject.id]),t}}),s.Z.CoordsElement.create=function(t,e,i,s,r,o){var n,a,h=!1;for(a=0;a<i.length;a++)(c.Z.isFunction(i[a])||c.Z.isString(i[a]))&&(h=!0);if(h)(n=new t(e,[0,0],s,r,o)).addConstraint(i);else if(c.Z.isNumber(i[0])&&c.Z.isNumber(i[1]))n=new t(e,i,s,r,o),c.Z.exists(s.slideobject)?n.makeGlider(s.slideobject):n.baseElement=n,n.isDraggable=!0;else{if(!c.Z.isObject(i[0])||!c.Z.isTransformationOrArray(i[1]))return!1;(n=new t(e,[0,0],s,r,o)).addTransform(i[0],i[1]),n.isDraggable=!1}return n.handleSnapToGrid(),n.handleSnapToPoints(),n.handleAttractors(),n.addParents(i),n},e.Z=s.Z.CoordsElement},958:function(t,e,i){var s=i(765),r=i(351),o=i(705),n=i(275),a=i(309),h=i(766),l=i(88),c=i(327),d=i(109);s.Z.GeometryElement=function(t,e,i,s){var o,n,a;if(this.needsUpdate=!0,this.isDraggable=!1,this.isReal=!0,this.childElements={},this.hasLabel=!1,this.highlighted=!1,this.notExistingParents={},this.traces={},this.numTraces=0,this.transformations=[],this.baseElement=null,this.descendants={},this.ancestors={},this.parents=[],this.symbolic={},this.rendNode=null,this.elType="",this.dump=!0,this.subs={},this.inherits=[],this._pos=-1,this.stdform=[1,0,0,0,1,1,0,0],this.methodMap={setLabel:"setLabel",label:"label",setName:"setName",getName:"getName",addTransform:"addTransform",setProperty:"setAttribute",setAttribute:"setAttribute",addChild:"addChild",animate:"animate",on:"on",off:"off",trigger:"trigger",addTicks:"addTicks",removeTicks:"removeTicks",removeAllTicks:"removeAllTicks"},this.quadraticform=[[1,0,0],[0,1,0],[0,0,1]],this.visProp={},this.visPropCalc={visible:!1},l.Z.eventify(this),this.mouseover=!1,this.lastDragTime=new Date,arguments.length>0){for(n in this.board=t,this.type=i,this._org_type=i,this.elementClass=s||r.Z.OBJECT_CLASS_OTHER,this.id=e.id,o=e.name,d.Z.exists(o)||(o=this.board.generateName(this)),""!==o&&(this.board.elementsByName[o]=this),this.name=o,this.needsRegularUpdate=e.needsregularupdate,d.Z.clearVisPropOld(this),a=this.resolveShortcuts(e))a.hasOwnProperty(n)&&this._set(n,a[n]);this.visProp.draft=a.draft&&a.draft.draft}},s.Z.extend(s.Z.GeometryElement.prototype,{addChild:function(t){var e,i;for(e in this.childElements[t.id]=t,this.addDescendants(t),t.ancestors[this.id]=this,this.descendants)if(this.descendants.hasOwnProperty(e))for(i in this.descendants[e].ancestors[this.id]=this,this.ancestors)this.ancestors.hasOwnProperty(i)&&(this.descendants[e].ancestors[this.ancestors[i].id]=this.ancestors[i]);for(e in this.ancestors)if(this.ancestors.hasOwnProperty(e))for(i in this.descendants)this.descendants.hasOwnProperty(i)&&(this.ancestors[e].descendants[this.descendants[i].id]=this.descendants[i]);return this},addDescendants:function(t){var e;for(e in this.descendants[t.id]=t,t.childElements)t.childElements.hasOwnProperty(e)&&this.addDescendants(t.childElements[e]);return this},addParents:function(t){var e,i,s;for(i=(s=d.Z.isArray(t)?t:arguments).length,e=0;e<i;++e)d.Z.exists(s[e])&&(d.Z.isId(this.board,s[e])?this.parents.push(s[e]):d.Z.exists(s[e].id)&&this.parents.push(s[e].id));this.parents=d.Z.uniqueArray(this.parents)},setParents:function(t){this.parents=[],this.addParents(t)},addParentsFromJCFunctions:function(t){var e,i,s;for(e=0;e<t.length;e++)for(i in t[e].deps)s=t[e].deps[i],this.addParents(s),s.addChild(this);return this},removeChild:function(t){return delete this.childElements[t.id],this.removeDescendants(t),delete t.ancestors[this.id],this},removeDescendants:function(t){var e;for(e in delete this.descendants[t.id],t.childElements)t.childElements.hasOwnProperty(e)&&this.removeDescendants(t.childElements[e]);return this},countChildren:function(){var t,e,i=0;for(t in e=this.childElements)e.hasOwnProperty(t)&&t.indexOf("Label")<0&&i++;return i},getName:function(){return this.name},addTransform:function(t){return this},draggable:function(){return this.isDraggable&&!d.Z.evaluate(this.visProp.fixed)&&this.type!==r.Z.OBJECT_TYPE_GLIDER},setPosition:function(t,e){var i,s,o,n,a=[];if(!d.Z.exists(this.parents))return this;for(o=this.parents.length,s=0;s<o;++s)if(i=this.board.select(this.parents[s]),d.Z.isPoint(i)){if(!i.draggable())return this;a.push(i)}for(3===e.length&&(e=e.slice(1)),n=this.board.create("transform",e,{type:"translate"}),(o=a.length)>0?n.applyOnce(a):this.transformations.length>0&&this.transformations[this.transformations.length-1].isNumericMatrix?this.transformations[this.transformations.length-1].melt(n):this.addTransform(n),s=0;s<o;++s)a[s].type===r.Z.OBJECT_TYPE_GLIDER&&a[s].updateGlider();return this},setPositionDirectly:function(t,e,i){var s=new o.Z(t,e,this.board,!1),n=new o.Z(t,i,this.board,!1),h=a.Z.subtract(s.usrCoords,n.usrCoords);return this.setPosition(r.Z.COORDS_BY_USER,h),this},generatePolynomial:function(){return[]},animate:function(t,e,i){i=i||{};var s,r,o,n=this.board.attr.animationdelay,a=Math.ceil(e/n),h=this,l=function(t,e,i){var s,r,n,l,d;for(s=c.Z.rgb2hsv(t),n=((r=c.Z.rgb2hsv(e))[0]-s[0])/a,l=(r[1]-s[1])/a,d=(r[2]-s[2])/a,h.animationData[i]=[],o=0;o<a;o++)h.animationData[i][a-o-1]=c.Z.hsv2rgb(s[0]+(o+1)*n,s[1]+(o+1)*l,s[2]+(o+1)*d)},u=function(t,e,i,s){var r,n;if(t=parseFloat(t),e=parseFloat(e),!isNaN(t)&&!isNaN(e))for(n=(e-t)/a,h.animationData[i]=[],o=0;o<a;o++)r=t+(o+1)*n,h.animationData[i][a-o-1]=s?Math.floor(r):r};for(s in this.animationData={},t)if(t.hasOwnProperty(s))switch(r=s.toLowerCase()){case"strokecolor":case"fillcolor":l(this.visProp[r],t[s],r);break;case"size":if(!d.Z.isPoint(this))break;u(this.visProp[r],t[s],r,!0);break;case"strokeopacity":case"strokewidth":case"fillopacity":u(this.visProp[r],t[s],r,!1)}return 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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(){s.Z.deprecated("setProperty()","setAttribute()"),this.setAttribute.apply(this,arguments)},setAttribute:function(t){var e,i,o,n,a,h,l,u,p,f={};for(e=0;e<arguments.length;e++)h=arguments[e],d.Z.isString(h)?(u=h.split(":"),f[d.Z.trim(u[0])]=d.Z.trim(u[1])):d.Z.isArray(h)?f[h[0]]=h[1]:s.Z.extend(f,h);for(e in f=this.resolveShortcuts(f))if(f.hasOwnProperty(e)){if(n=e.replace(/\s+/g,"").toLowerCase(),a=f[e],d.Z.isObject(a)&&d.Z.exists(this.visProp[n])){if(this.visProp[n]=d.Z.merge(this.visProp[n],a),this.type===r.Z.OBJECT_TYPE_TICKS&&d.Z.exists(this.labels))for(o=this.labels.length,i=0;i<o;i++)this.labels[i].setAttribute(a);else 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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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s.Z.deprecated("strokeColor()","setAttribute()"),this.setAttribute({strokeColor:t}),this},strokeWidth:function(t){return s.Z.deprecated("strokeWidth()","setAttribute()"),this.setAttribute({strokeWidth:t}),this},fillColor:function(t){return s.Z.deprecated("fillColor()","setAttribute()"),this.setAttribute({fillColor:t}),this},highlightFillColor:function(t){return s.Z.deprecated("highlightFillColor()","setAttribute()"),this.setAttribute({highlightFillColor:t}),this},labelColor:function(t){return s.Z.deprecated("labelColor()","setAttribute()"),this.setAttribute({labelColor:t}),this},dash:function(t){return s.Z.deprecated("dash()","setAttribute()"),this.setAttribute({dash:t}),this},visible:function(t){return s.Z.deprecated("visible()","setAttribute()"),this.setAttribute({visible:t}),this},shadow:function(t){return s.Z.deprecated("shadow()","setAttribute()"),this.setAttribute({shadow:t}),this},getType:function(){return this.elType},getParents:function(){return d.Z.isArray(this.parents)?this.parents:[]},snapToGrid:function(){return this},snapToPoints:function(){return this},getAttributes:function(){var t,e=d.Z.deepCopy(this.visProp),i=[],s=i.length;for(e.id=this.id,e.name=this.name,t=0;t<s;t++)delete e[i[t]];return e},hasPoint:function(t,e){return!1},addTicks:function(t){return""!==t.id&&d.Z.exists(t.id)||(t.id=this.id+"_ticks_"+(this.ticks.length+1)),this.board.renderer.drawTicks(t),this.ticks.push(t),t.id},removeAllTicks:function(){var t;if(d.Z.exists(this.ticks)){for(t=this.ticks.length-1;t>=0;t--)this.removeTicks(this.ticks[t]);this.ticks=[],this.board.update()}},removeTicks:function(t){var e,i;if(d.Z.exists(this.defaultTicks)&&this.defaultTicks===t&&(this.defaultTicks=null),d.Z.exists(this.ticks))for(e=this.ticks.length-1;e>=0;e--)if(this.ticks[e]===t){if(this.board.removeObject(this.ticks[e]),this.ticks[e].ticks)for(i=0;i<this.ticks[e].ticks.length;i++)d.Z.exists(this.ticks[e].labels[i])&&this.board.removeObject(this.ticks[e].labels[i]);delete this.ticks[e];break}},getSnapSizes:function(){var t,e,i;return t=d.Z.evaluate(this.visProp.snapsizex),e=d.Z.evaluate(this.visProp.snapsizey),t<=0&&this.board.defaultAxes&&this.board.defaultAxes.x.defaultTicks&&(t=(i=this.board.defaultAxes.x.defaultTicks).ticksDelta*(d.Z.evaluate(i.visProp.minorticks)+1)),e<=0&&this.board.defaultAxes&&this.board.defaultAxes.y.defaultTicks&&(e=(i=this.board.defaultAxes.y.defaultTicks).ticksDelta*(d.Z.evaluate(i.visProp.minorticks)+1)),[t,e]},handleSnapToGrid:function(t,e){var i,o,n,a,h,l,c,u,p,f,_,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 s.Z.Coords(r.Z.COORDS_BY_USER,[n,a],this.board),(!m||h.distance("screen"===g?r.Z.COORDS_BY_SCREEN:r.Z.COORDS_BY_USER,this.coords)<b)&&(i=n,o=a,e||(l=Math.min(u[0],u[2]),c=Math.max(u[0],u[2]),i<l&&i>l-f?i+=f:i>c&&i<c+f&&(i-=f),l=Math.min(u[1],u[3]),c=Math.max(u[1],u[3]),o<l&&o>l-_?o+=_:o>c&&o<c+_&&(o-=_)),this.coords.setCoordinates(r.Z.COORDS_BY_USER,[i,o])))),this},getBoundingBox:function(){var t,e,i,s,o,n=[1/0,1/0,-1/0,-1/0];if(this.type===r.Z.OBJECT_TYPE_POLYGON){if((e=this.vertices.length-1)<=0)return n;for(t=0;t<e;t++)i=this.vertices[t].X(),n[0]=i<n[0]?i:n[0],n[2]=i>n[2]?i:n[2],i=this.vertices[t].Y(),n[1]=i<n[1]?i:n[1],n[3]=i>n[3]?i:n[3]}else if(this.elementClass===r.Z.OBJECT_CLASS_CIRCLE)s=this.center.X(),o=this.center.Y(),n=[s-this.radius,o+this.radius,s+this.radius,o-this.radius];else if(this.elementClass===r.Z.OBJECT_CLASS_CURVE){if(0===(e=this.vertices.length))return n;for(t=0;t<e;t++)i=this.points[t].coords.usrCoords[1],n[0]=i<n[0]?i:n[0],n[2]=i>n[2]?i:n[2],i=this.points[t].coords.usrCoords[1],n[1]=i<n[1]?i:n[1],n[3]=i>n[3]?i:n[3]}return n},addEvent:s.Z.shortcut(s.Z.GeometryElement.prototype,"on"),removeEvent:s.Z.shortcut(s.Z.GeometryElement.prototype,"off"),formatNumberLocale:function(t,e){var i,s,r,o={},n={maximumfractiondigits:"maximumFractionDigits",minimumfractiondigits:"minimumFractionDigits",compactdisplay:"compactDisplay",currencydisplay:"currencyDisplay",currencysign:"currencySign",localematcher:"localeMatcher",numberingsystem:"numberingSystem",signdisplay:"signDisplay",unitdisplay:"unitDisplay",usegrouping:"useGrouping",roundingmode:"roundingMode",roundingpriority:"roundingPriority",roundingincrement:"roundingIncrement",trailingzerodisplay:"trailingZeroDisplay",minimumintegerdigits:"minimumIntegerDigits",minimumsignificantdigits:"minimumSignificantDigits",maximumsignificantdigits:"maximumSignificantDigits"};if(d.Z.exists(Intl)&&this.useLocale()){for(r in i=d.Z.evaluate(this.visProp.intl.locale)||d.Z.evaluate(this.board.attr.intl.locale),s=d.Z.evaluate(this.visProp.intl.options)||{})s.hasOwnProperty(r)&&(n.hasOwnProperty(r)?o[n[r]]=d.Z.evaluate(s[r]):o[r]=d.Z.evaluate(s[r]));return r="maximumfractiondigits",d.Z.exists(s[r])||(o[n[r]]=e),Intl.NumberFormat(i,o).format(t)}return t},useLocale:function(){var 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l,c,d,u,p=h.Z.evaluate(i);return(d=(l=s.Z.Math.Clip._getPath(t,a)).length)>0&&this.distance(l[0].coords.usrCoords,l[d-1].coords.usrCoords,3)<n.Z.eps&&l.pop(),(d=(c=s.Z.Math.Clip._getPath(e,a)).length)>0&&this.distance(c[0].coords.usrCoords,c[d-1].coords.usrCoords,3)<n.Z.eps*n.Z.eps&&c.pop(),i<0||s.Z.Math.Clip.isEmptyCase(l,c,"intersection")?new o.Z(r.Z.COORDS_BY_USER,[0,0,0],a):(s.Z.Math.Clip.makeDoublyLinkedList(l),s.Z.Math.Clip.makeDoublyLinkedList(c),p<(u=s.Z.Math.Clip.findIntersections(l,c,a)[0]).length?u[p].coords:new o.Z(r.Z.COORDS_BY_USER,[0,0,0],a))},meetPolygonLine:function(t,e,i,s,n){var a,l,c,d=h.Z.evaluate(i),u=[0,0,0],p=t.borders.length,f=[];for(a=0;a<p;a++)c=t.borders[a],l=this.meetSegmentSegment(c.point1.coords.usrCoords,c.point2.coords.usrCoords,e.point1.coords.usrCoords,e.point2.coords.usrCoords),(!n||l[2]>=0&&l[2]<1)&&l[1]>=0&&l[1]<1&&f.push(l[0]);return d>=0&&d<f.length&&(u=f[d]),new o.Z(r.Z.COORDS_BY_USER,u,s)},_bezierSplit:function(t){var e,i,s,r,o,n;return e=[.5*(t[0][0]+t[1][0]),.5*(t[0][1]+t[1][1])],i=[.5*(t[1][0]+t[2][0]),.5*(t[1][1]+t[2][1])],s=[.5*(t[2][0]+t[3][0]),.5*(t[2][1]+t[3][1])],n=[.5*((r=[.5*(e[0]+i[0]),.5*(e[1]+i[1])])[0]+(o=[.5*(i[0]+s[0]),.5*(i[1]+s[1])])[0]),.5*(r[1]+o[1])],[[t[0],e,r,n],[n,o,s,t[3]]]},_bezierBbox:function(t){var e=[];return 4===t.length?(e[0]=Math.min(t[0][0],t[1][0],t[2][0],t[3][0]),e[1]=Math.max(t[0][1],t[1][1],t[2][1],t[3][1]),e[2]=Math.max(t[0][0],t[1][0],t[2][0],t[3][0]),e[3]=Math.min(t[0][1],t[1][1],t[2][1],t[3][1])):(e[0]=Math.min(t[0][0],t[1][0]),e[1]=Math.max(t[0][1],t[1][1]),e[2]=Math.max(t[0][0],t[1][0]),e[3]=Math.min(t[0][1],t[1][1])),e},_bezierOverlap:function(t,e){return t[2]>=e[0]&&t[0]<=e[2]&&t[1]>=e[3]&&t[3]<=e[1]},_bezierListConcat:function(t,e,i,s){var r,o=h.Z.exists(s),n=0,a=e.length,l=t.length;for(l>0&&a>0&&(1===t[l-1][1]&&0===e[0][1]||o&&1===t[l-1][2]&&0===e[0][2])&&(n=1),r=n;r<a;r++)o&&(e[r][2]*=.5,e[r][2]+=s),e[r][1]*=.5,e[r][1]+=i,t.push(e[r])},_bezierMeetSubdivision:function(t,e,i){var s,r,o,n,a,h,l,c,d,u,p,f,_=[];return r=this._bezierBbox(e),s=this._bezierBbox(t),this._bezierOverlap(r,s)?i<5?(h=(o=this._bezierSplit(t))[0],l=o[1],n=(o=this._bezierSplit(e))[0],a=o[1],this._bezierListConcat(_,this._bezierMeetSubdivision(h,n,i+1),0,0),this._bezierListConcat(_,this._bezierMeetSubdivision(h,a,i+1),0,.5),this._bezierListConcat(_,this._bezierMeetSubdivision(l,n,i+1),.5,0),this._bezierListConcat(_,this._bezierMeetSubdivision(l,a,i+1),.5,.5),_):(p=[1].concat(t[0]),f=[1].concat(t[3]),d=[1].concat(e[0]),u=[1].concat(e[3]),(c=this.meetSegmentSegment(p,f,d,u))[1]>=0&&c[2]>=0&&c[1]<=1&&c[2]<=1?[c]:[]):[]},_bezierLineMeetSubdivision:function(t,e,i,s){var r,o,n,a,h,l,c,d,u,p,f=[];return r=this._bezierBbox(e),o=this._bezierBbox(t),s&&!this._bezierOverlap(o,r)?[]:i<5?(a=(n=this._bezierSplit(t))[0],h=n[1],this._bezierListConcat(f,this._bezierLineMeetSubdivision(a,e,i+1),0),this._bezierListConcat(f,this._bezierLineMeetSubdivision(h,e,i+1),.5),f):(u=[1].concat(t[0]),p=[1].concat(t[3]),c=[1].concat(e[0]),d=[1].concat(e[1]),(l=this.meetSegmentSegment(u,p,c,d))[1]>=0&&l[1]<=1&&(!s||l[2]>=0&&l[2]<=1)?[l]:[])},meetBeziersegmentBeziersegment:function(t,e,i){var s,r,o;for((s=4===t.length&&4===e.length?this._bezierMeetSubdivision(t,e,0):this._bezierLineMeetSubdivision(t,e,0,i)).sort((function(t,e){return 1e7*(t[1]-e[1])+(t[2]-e[2])})),r=[],o=0;o<s.length;o++)0!==o&&s[o][1]===s[o-1][1]&&s[o][2]===s[o-1][2]||r.push(s[o]);return r},meetBezierCurveRedBlueSegments:function(t,e,i){var 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s&&(S=S.concat([l[1]+.333*(E-l[1]),l[1]+.666*(E-l[1]),E]),w=w.concat([l[2]+.333*(O-l[2]),l[2]+.666*(O-l[2]),O])),[S,w]},projectPointToCircle:function(t,e,i){var s,a,l,c,d,u=e.center.coords.usrCoords;return h.Z.exists(i)||(i=t.board),h.Z.isPoint(t)?(s=t.coords.distance(r.Z.COORDS_BY_USER,e.center.coords),a=t.coords.usrCoords):(s=t.distance(r.Z.COORDS_BY_USER,e.center.coords),a=t.usrCoords),Math.abs(s)<n.Z.eps&&(s=n.Z.eps),d=e.Radius()/s,l=u[1]+d*(a[1]-u[1]),c=u[2]+d*(a[2]-u[2]),new o.Z(r.Z.COORDS_BY_USER,[l,c],i)},projectPointToLine:function(t,e,i){var s,a=[0,e.stdform[1],e.stdform[2]];return h.Z.exists(i)||(i=h.Z.exists(t.coords)?t.board:e.board),s=h.Z.exists(t.coords)?t.coords.usrCoords:t.usrCoords,a=n.Z.crossProduct(a,s),new o.Z(r.Z.COORDS_BY_USER,n.Z.crossProduct(a,e.stdform),i)},projectCoordsToSegment:function(t,e,i){var s,r=[i[1]-e[1],i[2]-e[2]],o=[t[1]-e[1],t[2]-e[2]];return 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this._genericParse(t,"manipulate",e,i)},getAST:function(t,e,i){return this._genericParse(t,"getAst",e,i)},snippet:function(t,e,i,s){var r;return e=_utils_type__WEBPACK_IMPORTED_MODULE_7__.Z.def(e,!0),i=_utils_type__WEBPACK_IMPORTED_MODULE_7__.Z.def(i,""),s=_utils_type__WEBPACK_IMPORTED_MODULE_7__.Z.def(s,!1),r=(e?" function ("+i+") { return ":"")+t+(e?"; }":"")+";",this.parse(r,s,!0)},replaceIDs:function(t){var e,i;if(t.replaced&&(i=this.board.objects[t.children[1][0].value],_utils_type__WEBPACK_IMPORTED_MODULE_7__.Z.exists(i)&&""!==i.name&&(t.type="node_var",t.value=i.name,t.children.length=0,delete t.replaced)),_utils_type__WEBPACK_IMPORTED_MODULE_7__.Z.isArray(t))for(e=0;e<t.length;e++)t[e]=this.replaceIDs(t[e]);if(t.children)for(e=t.children.length;e>0;e--)_utils_type__WEBPACK_IMPORTED_MODULE_7__.Z.exists(t.children[e-1])&&(t.children[e-1]=this.replaceIDs(t.children[e-1]));return t},replaceNames:function(t){var 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if("node_op"===t.type&&"op_property"===t.value)i=[this.compile(t.children[0],e),"'"+t.children[1]+"'"];else{if("node_op"!==t.type||"op_extvalue"!==t.value)throw new Error("Syntax error: Invalid left-hand side of assignment.");i=[this.compile(t.children[0],e),"node_const"===t.children[1].type?t.children[1].value:this.compile(t.children[1],e)]}return i},execute:function(t){var e,i,s,r,o,n,a,h,l,c,d=[];if(e=0,!t)return e;switch(this.line=t.line,this.col=t.col,t.type){case"node_op":switch(t.value){case"op_none":t.children[0]&&this.execute(t.children[0]),t.children[1]&&(e=this.execute(t.children[1]));break;case"op_assign":i=this.getLHS(t.children[0]),this.lhs[this.scope.id]=i.what,i.o.type&&i.o.elementClass&&i.o.methodMap&&"label"===i.what&&this._error("Left-hand side of assignment is read-only."),e=this.execute(t.children[1]),i.o!==this.scope.locals||_utils_type__WEBPACK_IMPORTED_MODULE_7__.Z.isArray(i.o)&&"number"==typeof 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t.board.updateQuality===t.board.BOARD_QUALITY_LOW?(l=s.Z.evaluate(t.visProp.recursiondepthlow)||13,d=2,this.smoothLevel=l-6,this.jumpLevel=3):(l=s.Z.evaluate(t.visProp.recursiondepthhigh)||17,d=2,this.smoothLevel=l-9,this.jumpLevel=2),this.nanLevel=l-4,t.points=[],"x"===this.xterm?(u=.3*((p=t.board.getBoundingBox())[2]-p[0]),.3*(p[1]-p[3]),o=Math.max(e,p[0]-u),n=Math.min(r,p[2]+u)):(o=e,n=r),m.setCoordinates(i.Z.COORDS_BY_USER,[t.X(o,_),t.Y(o,_)],!1),_=!0,g.setCoordinates(i.Z.COORDS_BY_USER,[t.X(n,_),t.Y(n,_)],!1),f=this._findStartPoint(t,m.scrCoords,o,g.scrCoords,n),m.setCoordinates(i.Z.COORDS_BY_SCREEN,f[0],!1),o=f[1],f=this._findStartPoint(t,g.scrCoords,n,m.scrCoords,o),g.setCoordinates(i.Z.COORDS_BY_SCREEN,f[0],!1),n=f[1],this._visibleArea=[o,n],a=m.copy("scrCoords"),h=g.copy("scrCoords"),m._t=o,t.points.push(m),this._lastCrds=m.copy("scrCoords"),this._plotRecursive_v2(t,a,o,h,n,l,d),g._t=n,t.points.push(g),t.numberPoints=t.points.length,t},_insertLimesPoint:function(t,e,s,r,n){var 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a,h=!isNaN(this._lastScrCrds[1]+this._lastScrCrds[2]),l=!isNaN(e[1]+e[2]),d=t.board.canvasWidth,u=t.board.canvasHeight,p=500;s.Z.exists(n)?this._insertLimesPoint(t,e,r,o,n):(l=l&&e[1]>-500&&e[2]>-500&&e[1]<d+p&&e[2]<u+p,(h||l)&&(l&&h&&Math.abs(e[1]-this._lastScrCrds[1])<.8&&Math.abs(e[2]-this._lastScrCrds[2])<.8||Math.abs(e[1])===1/0&&Math.abs(this._lastUsrCrds[1])===1/0||Math.abs(e[2])===1/0&&Math.abs(this._lastUsrCrds[2])===1/0||((a=new c.Z(i.Z.COORDS_BY_SCREEN,e,t.board))._t=r,t.points.push(a),this._lastScrCrds=a.copy("scrCoords"),this._lastUsrCrds=a.copy("usrCoords"))))},_triangleDists:function(t,e,i){var s;return s=[t[0]*e[0],.5*(t[1]+e[1]),.5*(t[2]+e[2])],[u.Z.distance(t,e,3),u.Z.distance(t,i,3),u.Z.distance(i,e,3),u.Z.distance(i,s,3)]},_isUndefined:function(t,e,s,r,o){var n,a,h;if(!isNaN(e[1]+e[2])||!isNaN(r[1]+r[2]))return!1;for(h=new 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s=(i=a.limit(e,-h,t.X))[0],"infinite"===i[1]&&(s=Math.sign(s)*(1/0)),o=(i=a.limit(e,-h,t.Y))[0],"infinite"===i[1]&&(o=Math.sign(o)*(1/0)),r=(i=a.limit(e,h,t.X))[0],"infinite"===i[1]&&(r=Math.sign(r)*(1/0)),n=(i=a.limit(e,h,t.Y))[0],"infinite"===i[1]&&(n=Math.sign(n)*(1/0)),{left_x:s,left_y:o,right_x:r,right_y:n,t:e}},_getLimes:function(t,e,i,s,r,o,n,a,h){var l;return"border"===a?l=this._getBorderPos(t,e,i,s,r,o,n):"cusp"===a?l=this._getCuspPos(t,e,o):"jump"===a&&(l=this._getJumpPos(t,e,o)),this._getLimits(t,l)},_plotNonRecursive:function(t,e,i,s,r,o){var 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,s,r,o,1/0];C>0;){if(e=(m=Z[--C])[0],i=m[1],s=m[2],r=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,s,r))continue;if(this._isOutside(e,i,s,r,t.board))continue}n=.5*(i+r),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,s,a),l=isNaN(e[1]+e[2]),c=isNaN(s[1]+s[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,r,s,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,s,r,f-1,h[0]],Z[C++]=[e,i,a,n,f-1,h[0]])}return this},updateParametricCurve_v3:function(t,e,r){var o,n,a,h,l,d,u,p,f=!1,_=new c.Z(i.Z.COORDS_BY_USER,[0,0],t.board,!1),m=new c.Z(i.Z.COORDS_BY_USER,[0,0],t.board,!1);return l=t.board.updateQuality===t.board.BOARD_QUALITY_LOW?s.Z.evaluate(t.visProp.recursiondepthlow)||14:s.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?(d=.3*((u=t.board.getBoundingBox())[2]-u[0]),o=Math.max(e,u[0]-d),n=Math.min(r,u[2]+d)):(o=e,n=r),_.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 s,r,o,n,a,h,l,c=!1,u=-1/0,p=!1,f=!1,_=0,m=[],g=[],b=[];for(l=d.Z.abs(t),(n=d.Z.median(l))<1e-7?(n=1e-7,p=!0):n*=this.criticalThreshold,s=0;s<e;s++)l[s]>n?(b.push({i:s,v:t[s],group:_}),u=s,c||(c=!0)):c&&s>u+4&&(b.length>0&&m.push(b.slice(0)),b=[],c=!1,_++);for(c&&b.length>1&&m.push(b.slice(0)),p&&0===m.length&&(f=!0),r=0;r<m.length;r++)if(g[r]="point",!((o=m[r].length)<64)){for(h=0,a=Math.sign(m[r][0].v),s=1;s<o;s++)Math.sign(m[r][s].v)!==a&&(h++,a=Math.sign(m[r][s].v));6*h>o&&(g[r]="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,s){var r,o,n,a,h,l,c=[],d=0,u=0,p=0,f=!1,_=!1;for(n=(i-e)/s,c[d]=new this.Component,l=c[d],r=0,o=e;r<=s;r++,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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f=[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],_=[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],m=[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],g=[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],b=[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],v=[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,s,r,o,n=[],a=0,h=[],l=new Array(32768),c=0,d=!1,u=e.length,p=0,Z=1,C=new Array(288),y=new Array(32),P=0,E=null,O=(new Array(64),new Array(64),0),x=new Array(17),S=[];function w(){return 8,p<u?e[p++]:-1}function M(){Z=1}function T(){var t;try{t=1&Z,0===(Z>>=1)&&(t=1&(Z=w()),Z=Z>>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=f[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 R(){this.b0=0,this.b1=0,this.jump=null,this.jumppos=-1}function L(){for(;;){if(x[O]>=o)return-1;if(r[x[O]]===O)return x[O]++;x[O]++}}function k(){var t,e=E[P];if(17===O)return-1;if(P++,O++,(t=L())>=0)e.b0=t;else if(e.b0=32768,k())return-1;if((t=L())>=0)e.b1=t,e.jump=null;else if(e.b1=32768,e.jump=E[P],e.jumppos=P,k())return-1;return O--,0}function B(t,e,i,s){var 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Z=t.Z.Util,C=[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,s="",r=t.length;if(t=t.replace(/\r\n/g,"\n"),"function"==typeof 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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 y=t.Z.Util.UTF8,P="ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789+/",E="=";t.Z.Util=t.Z.Util||{},t.Z.Util.Base64={_getByte:function(t,e){return 255&t.charCodeAt(e)},_getIndex:function(t,e){return P.indexOf(t.charAt(e))},encode:function(t){var e,i,s,r,o,n=[];for(r=(s=(o=y.encode(t)).length)%3,e=0;e<s-r;e+=3)i=this._getByte(o,e)<<16|this._getByte(o,e+1)<<8|this._getByte(o,e+2),n.push(P.charAt(i>>18),P.charAt(i>>12&63),P.charAt(i>>6&63),P.charAt(63&i));switch(r){case 1:i=this._getByte(o,s-1),n.push(P.charAt(i>>2),P.charAt(i<<4&63),E,E);break;case 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0===FileReader?this.handleRemoteFile(t,e,i,r,o,n):this.handleLocalFile(t,e,i,r,o,n)},parseString:function(e,i,r,o){var n;if(r=r.toLowerCase(),n=t.Z.readers[r],s.Z.exists(n))new n(i,e).read();else if("jessiecode"!==r)throw new Error("JSXGraph: There is no reader available for '"+r+"'.");s.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   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A=t.Z.FileReader,D=__webpack_require__(632),R=__webpack_require__(254),L=__webpack_require__(327);t.Z.Composition=function(t){var e,i=this,r=["setAttribute","setParents","prepareUpdate","updateRenderer","update","fullUpdate","highlight","noHighlight"],o=function(t){return function(){var e;for(e in i.elements)i.elements.hasOwnProperty(e)&&s.Z.exists(i.elements[e][t])&&i.elements[e][t].apply(i.elements[e],arguments);return i}};for(e=0;e<r.length;e++)this[r[e]]=o(r[e]);for(e in 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t.Z.Composition},getParents:function(){return this.parents},getType:function(){return this.elType},getAttributes:function(){var t,e={};for(t in this.subs)this.subs.hasOwnProperty(t)&&(e[t]=this.subs[t].visProp);return this.attr}});var k=t.Z.Composition;t.Z.Board=function(o,n,a,h,l,c,d,u,p,f,_){if(this.BOARD_MODE_NONE=0,this.BOARD_MODE_DRAG=1,this.BOARD_MODE_MOVE_ORIGIN=2,this.BOARD_MODE_ZOOM=17,this.BOARD_QUALITY_LOW=1,this.BOARD_QUALITY_HIGH=2,s.Z.exists(_.document)&&!1!==_.document?this.document=_.document:e.Z.isBrowser&&(this.document=document),this.container=o,this.containerObj=e.Z.isBrowser?this.document.getElementById(this.container):null,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=s.Z.deepCopy(T.Z),this.attr=_,this.dimension=2,this.jc=new R.Z,this.jc.use(this),this.origin={},this.origin.usrCoords=[1,0,0],this.origin.scrCoords=[1,h[0],h[1]],this.zoomX=l,this.zoomY=c,this.unitX=d*this.zoomX,this.unitY=u*this.zoomY,this.keepaspectratio=!1,this.canvasWidth=p,this.canvasHeight=f,s.Z.exists(a)&&""!==a&&e.Z.isBrowser&&!s.Z.exists(this.document.getElementById(a))?this.id=a:this.id=this.generateId(),r.Z.eventify(this),this.hooks=[],this.dependentBoards=[],this.inUpdate=!1,this.objects={},this.objectsList=[],this.groups={},this.animationObjects={},this.highlightedObjects={},this.numObjects=0,this.elementsByName={},this.mode=this.BOARD_MODE_NONE,this.updateQuality=this.BOARD_QUALITY_HIGH,this.isSuspendedRedraw=!1,this.calculateSnapSizes(),this.drag_dx=0,this.drag_dy=0,this.drag_position=[0,0],this.mouse={},this.touches=[],this.xmlString="",this.cPos=[],this.touchMoveLast=0,this.touchMoveLastId=1/0,this.positionAccessLast=0,this.downObjects=[],this.focusObjects=[],this.attr.showcopyright&&this.renderer.displayCopyright(i.Z.licenseText,parseInt(this.options.text.fontSize,10)),this.needsFullUpdate=!1,this.reducedUpdate=!1,this.currentCBDef="none",this.geonextCompatibilityMode=!1,this.options.text.useASCIIMathML&&translateASCIIMath?init():this.options.text.useASCIIMathML=!1,this.hasMouseHandlers=!1,this.hasTouchHandlers=!1,this.hasPointerHandlers=!1,this.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,this.attr.registerevents&&this.addEventHandlers(),this.attr.registerresizeevent&&this.addResizeEventHandlers(),this.attr.registerfullscreenevent&&this.addFullscreenEventHandlers(),this.methodMap={update:"update",fullUpdate:"fullUpdate",on:"on",off:"off",trigger:"trigger",setView:"setBoundingBox",setBoundingBox:"setBoundingBox",migratePoint:"migratePoint",colorblind:"emulateColorblindness",suspendUpdate:"suspendUpdate",unsuspendUpdate:"unsuspendUpdate",clearTraces:"clearTraces",left:"clickLeftArrow",right:"clickRightArrow",up:"clickUpArrow",down:"clickDownArrow",zoomIn:"zoomIn",zoomOut:"zoomOut",zoom100:"zoom100",zoomElements:"zoomElements",remove:"removeObject",removeObject:"removeObject"}},t.Z.extend(t.Z.Board.prototype,{generateName:function(t){var e,r,o=this.attr.maxnamelength,n="",a="",h=[],l="";if(t.type===i.Z.OBJECT_TYPE_TICKS)return"";for(e=s.Z.isPoint(t)||s.Z.isPoint3D(t)?["","A","B","C","D","E","F","G","H","I","J","K","L","M","N","O","P","Q","R","S","T","U","V","W","X","Y","Z"]:t.type===i.Z.OBJECT_TYPE_ANGLE?["","&alpha;","&beta;","&gamma;","&delta;","&epsilon;","&zeta;","&eta;","&theta;","&iota;","&kappa;","&lambda;","&mu;","&nu;","&xi;","&omicron;","&pi;","&rho;","&sigma;","&tau;","&upsilon;","&phi;","&chi;","&psi;","&omega;"]:["","a","b","c","d","e","f","g","h","i","j","k","l","m","n","o","p","q","r","s","t","u","v","w","x","y","z"],s.Z.isPoint(t)||t.elementClass===i.Z.OBJECT_CLASS_LINE||t.type===i.Z.OBJECT_TYPE_ANGLE||(n=t.type===i.Z.OBJECT_TYPE_POLYGON?"P_{":t.elementClass===i.Z.OBJECT_CLASS_CIRCLE?"k_{":t.elementClass===i.Z.OBJECT_CLASS_TEXT?"t_{":"s_{",a="}"),r=0;r<o;r++)h[r]=0;for(;h[o-1]<e.length;){for(h[0]=1;h[0]<e.length;h[0]++){for(l=n,r=o;r>0;r--)l+=e[h[r-1]];if(!s.Z.exists(this.elementsByName[l+a]))return l+a}for(h[0]=e.length,r=1;r<o;r++)h[r-1]===e.length&&(h[r-1]=1,h[r]+=1)}return""},generateId:function(){for(var e=1;s.Z.exists(t.Z.boards["jxgBoard"+e]);)e=Math.round(65535*Math.random());return"jxgBoard"+e},setId:function(t,e){var i,r=this.numObjects,o=t.id;if(this.numObjects+=1,""===o||!s.Z.exists(o))for(o=this.id+e+r;s.Z.exists(this.objects[o]);)i=Math.round(65535*Math.random()),o=this.id+e+r+"-"+i;return t.id=o,this.objects[o]=t,t._pos=this.objectsList.length,this.objectsList[this.objectsList.length]=t,o},finalizeAdding:function(t){!1===s.Z.evaluate(t.visProp.visible)&&this.renderer.display(t,!1)},finalizeLabel:function(t){t.hasLabel&&!s.Z.evaluate(t.label.visProp.islabel)&&!1===s.Z.evaluate(t.label.visProp.visible)&&this.renderer.display(t.label,!1)},checkFrameRate:function(t){var e=!1,i=(new Date).getTime();return s.Z.exists(t.pointerId)&&this.touchMoveLastId!==t.pointerId&&(e=!0,this.touchMoveLastId=t.pointerId),!e&&(i-this.touchMoveLast)*this.attr.maxframerate>=1e3&&(e=!0),e&&(this.touchMoveLast=i),e},getCoordsTopLeftCorner:function(){var t,i,r,o,n,a=this.document.ownerDocument||this.document,h=a.documentElement||this.document.body.parentNode,l=a.body,c=this.containerObj;if(this.cPos.length>0&&(this.mode===this.BOARD_MODE_DRAG||this.mode===this.BOARD_MODE_MOVE_ORIGIN||(new Date).getTime()-this.positionAccessLast<1e3))return this.cPos;if(this.positionAccessLast=(new Date).getTime(),c.getBoundingClientRect){for(r=c.getBoundingClientRect(),o=1,n=c;n&&s.Z.exists(n.parentNode);)s.Z.exists(n.style)&&s.Z.exists(n.style.zoom)&&""!==n.style.zoom&&(o*=parseFloat(n.style.zoom)),n=n.parentNode;return(t=[r.left*o,r.top*o])[0]+=e.Z.getProp(c,"border-left-width"),t[1]+=e.Z.getProp(c,"border-top-width"),"vml"!==this.renderer.type&&(t[0]+=e.Z.getProp(c,"padding-left"),t[1]+=e.Z.getProp(c,"padding-top")),this.cPos=t.slice(),this.cPos}return t=e.Z.getOffset(c),i=this.document.documentElement.ownerDocument,!this.containerObj.currentStyle&&i.defaultView&&(t[0]+=e.Z.getProp(h,"margin-left"),t[1]+=e.Z.getProp(h,"margin-top"),t[0]+=e.Z.getProp(h,"border-left-width"),t[1]+=e.Z.getProp(h,"border-top-width"),t[0]+=e.Z.getProp(h,"padding-left"),t[1]+=e.Z.getProp(h,"padding-top")),l&&(t[0]+=e.Z.getProp(l,"left"),t[1]+=e.Z.getProp(l,"top")),"object"==typeof google&&google.translate&&(t[0]+=10,t[1]+=25),t[0]+=e.Z.getProp(c,"border-left-width"),t[1]+=e.Z.getProp(c,"border-top-width"),"vml"!==this.renderer.type&&(t[0]+=e.Z.getProp(c,"padding-left"),t[1]+=e.Z.getProp(c,"padding-top")),t[0]+=this.attr.offsetx,t[1]+=this.attr.offsety,this.cPos=t.slice(),this.cPos},getMousePosition:function(t,i){var r,n,a=this.getCoordsTopLeftCorner();return r=e.Z.getPosition(t,i,this.document),s.Z.exists(this.cssTransMat)||this.updateCSSTransforms(),n=[1,r[0]-a[0],r[1]-a[1]],(n=o.Z.matVecMult(this.cssTransMat,n))[1]/=n[0],n[2]/=n[0],[n[1],n[2]]},initMoveOrigin:function(t,e){this.drag_dx=t-this.origin.scrCoords[1],this.drag_dy=e-this.origin.scrCoords[2],this.mode=this.BOARD_MODE_MOVE_ORIGIN,this.updateQuality=this.BOARD_QUALITY_LOW},initMoveObject:function(t,e,r,o){var n,a,h,l=[],c=[],u=this.objectsList.length,p={visProp:{layer:-1e4}};for(this._shiftKey=r.shiftKey,this._ctrlKey=r.ctrlKey,a=0;a<u;a++)h=(n=this.objectsList[a]).hasPoint&&n.hasPoint(t,e),n.visPropCalc.visible&&h&&(n.triggerEventHandlers([o+"down","down"],[r]),this.downObjects.push(n)),h&&n.isDraggable&&n.visPropCalc.visible&&(this.geonextCompatibilityMode&&(s.Z.isPoint(n)||n.elementClass===i.Z.OBJECT_CLASS_TEXT)||!this.geonextCompatibilityMode)&&!s.Z.evaluate(n.visProp.fixed)&&(n.visProp.layer>p.visProp.layer||n.visProp.layer===p.visProp.layer&&n.lastDragTime.getTime()>=p.lastDragTime.getTime())&&(this.attr.ignorelabels&&s.Z.exists(p.label)&&n===p.label||(p=n,l.push(p),s.Z.exists(p.coords)?c.push(d.Z.subtract(p.coords.scrCoords.slice(1),[t,e])):c.push([0,0])));return this.attr.drag.enabled&&l.length>0&&(this.mode=this.BOARD_MODE_DRAG),this.attr.takefirst?(l.length=1,this._drag_offset=c[0]):(l=l.slice(-1),this._drag_offset=c[c.length-1]),this._drag_offset||(this._drag_offset=[0,0]),"svg"===this.renderer.type&&s.Z.exists(l[0])&&s.Z.evaluate(l[0].visProp.dragtotopoflayer)&&1===l.length&&s.Z.exists(l[0].rendNode)&&l[0].rendNode.parentNode.appendChild(l[0].rendNode),l.length>=1&&(l[0].highlight(!0),this.triggerEventHandlers(["mousehit","hit"],[r,l[0]])),l},moveObject:function(t,e,r,o,n){var a,h,l,u=new c.Z(i.Z.COORDS_BY_SCREEN,this.getScrCoordsOfMouse(t,e),this);r&&r.obj&&((a=r.obj).coords&&(h=a.coords.scrCoords.slice()),this.addLogEntry("drag",a,u.usrCoords.slice(1)),this.drag_position=[u.scrCoords[1],u.scrCoords[2]],this.drag_position=d.Z.add(this.drag_position,this._drag_offset),this._shiftKey=o.shiftKey,this._ctrlKey=o.ctrlKey,s.Z.exists(a.coords)?a.setPositionDirectly(i.Z.COORDS_BY_SCREEN,this.drag_position):(this.displayInfobox(!1),isNaN(r.targets[0].Xprev+r.targets[0].Yprev)||a.setPositionDirectly(i.Z.COORDS_BY_SCREEN,[u.scrCoords[1],u.scrCoords[2]],[r.targets[0].Xprev,r.targets[0].Yprev]),r.targets[0].Xprev=u.scrCoords[1],r.targets[0].Yprev=u.scrCoords[2]),s.Z.exists(a.coords)&&(a.prepareUpdate().update(!1).updateRenderer(),this.updateInfobox(a),a.prepareUpdate().update(!0).updateRenderer()),a.coords&&(l=a.coords.scrCoords),a.coords&&h[1]===l[1]&&h[2]===l[2]||(a.triggerEventHandlers([n+"drag","drag"],[o]),this.update()),a.highlight(!0),this.triggerEventHandlers(["mousehit","hit"],[o,a]),a.lastDragTime=new Date)},twoFingerMove:function(t,e,r){var o;s.Z.exists(t)&&s.Z.exists(t.obj)&&((o=t.obj).elementClass===i.Z.OBJECT_CLASS_LINE||o.type===i.Z.OBJECT_TYPE_POLYGON?this.twoFingerTouchObject(t.targets,o,e):o.elementClass===i.Z.OBJECT_CLASS_CIRCLE&&this.twoFingerTouchCircle(t.targets,o,e),r&&o.triggerEventHandlers(["touchdrag","drag"],[r]))},getTwoFingerTransform(t,e,s,r){var o,n,a,h,l,d,u,p,f,_,m,g,b,v,Z,C,y;return n=(o=new c.Z(i.Z.COORDS_BY_SCREEN,[t.Xprev,t.Yprev],this).usrCoords)[1],a=o[2],h=(o=new c.Z(i.Z.COORDS_BY_SCREEN,[e.Xprev,e.Yprev],this).usrCoords)[1],l=o[2],p=(o=new c.Z(i.Z.COORDS_BY_SCREEN,[t.X,t.Y],this).usrCoords)[1],f=o[2],v=((g=(_=(o=new c.Z(i.Z.COORDS_BY_SCREEN,[e.X,e.Y],this).usrCoords)[1])-p)*(d=h-n)+(b=(m=o[2])-f)*(u=l-a))/(C=d*d+u*u),Z=(b*d-g*u)/C,s||(v/=y=Math.sqrt(v*v+Z*Z),Z/=y),r||(Z=0),[1,0,0,.5*(p+_-v*(n+h)+Z*(a+l)),v,-Z,.5*(f+m-Z*(n+h)-v*(a+l)),Z,v]},twoFingerTouchObject:function(t,e,r){var o,n,a,h,l,c,d=!1;if(s.Z.exists(t[0])&&s.Z.exists(t[1])&&!isNaN(t[0].Xprev+t[0].Yprev+t[1].Xprev+t[1].Yprev)){if(n=this.getTwoFingerTransform(t[0],t[1],s.Z.evaluate(e.visProp.scalable),s.Z.evaluate(e.visProp.rotatable)),(o=this.create("transform",n,{type:"generic"})).update(),e.elementClass===i.Z.OBJECT_CLASS_LINE)a=[],e.point1.draggable()&&a.push(e.point1),e.point2.draggable()&&a.push(e.point2),o.applyOnce(a);else if(e.type===i.Z.OBJECT_TYPE_POLYGON){for(l=e.vertices.length-1,c=e.visProp,d=s.Z.evaluate(c.snaptogrid)||s.Z.evaluate(c.snaptopoints),h=0;h<l&&!d;++h)c=e.vertices[h].visProp,d=(d=d||s.Z.evaluate(c.snaptogrid)||s.Z.evaluate(c.snaptopoints))||!e.vertices[h].draggable();if(!d){for(a=[],h=0;h<l;++h)e.vertices[h].draggable()&&a.push(e.vertices[h]);o.applyOnce(a)}}this.update(),e.highlight(!0)}},twoFingerTouchCircle:function(t,e,r){var o,n,a,h,l,d,p,f,_,m,g;"pointCircle"!==e.method&&"pointLine"!==e.method&&s.Z.exists(t[0])&&s.Z.exists(t[1])&&!isNaN(t[0].Xprev+t[0].Yprev+t[1].Xprev+t[1].Yprev)&&(r===t[0].num?(o=t[1],n=t[0]):(o=t[0],n=t[1]),l=new c.Z(i.Z.COORDS_BY_SCREEN,[o.Xprev,o.Yprev],this).usrCoords,h=new c.Z(i.Z.COORDS_BY_SCREEN,[n.Xprev,n.Yprev],this).usrCoords,a=new c.Z(i.Z.COORDS_BY_SCREEN,[n.X,n.Y],this).usrCoords,p=u.Z.rad(h.slice(1),l.slice(1),a.slice(1)),f=this.create("transform",[-l[1],-l[2]],{type:"translate"}),_=this.create("transform",[p],{type:"rotate"}),f.melt(_),s.Z.evaluate(e.visProp.scalable)&&(d=u.Z.distance(l,a)/u.Z.distance(l,h),m=this.create("transform",[d,d],{type:"scale"}),f.melt(m)),g=this.create("transform",[l[1],l[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&&s.Z.isNumber(e.updateRadius.origin)&&e.setRadius(e.radius*d),this.update(e.center),e.highlight(!0))},highlightElements:function(t,e,i,r){var o,n,a,h={},l=this.objectsList.length;for(o=0;o<l;o++)a=(n=this.objectsList[o]).id,s.Z.exists(n.hasPoint)&&n.visPropCalc.visible&&n.hasPoint(t,e)&&(this.updateInfobox(n),s.Z.exists(this.highlightedObjects[a])||(h[a]=n,n.highlight(),this.triggerEventHandlers(["mousehit","hit"],[i,n,r])),n.mouseover?n.triggerEventHandlers(["mousemove","move"],[i]):(n.triggerEventHandlers(["mouseover","over"],[i]),n.mouseover=!0));for(o=0;o<l;o++)a=(n=this.objectsList[o]).id,n.mouseover&&(h[a]||(n.triggerEventHandlers(["mouseout","out"],[i]),n.mouseover=!1))},saveStartPos:function(e,r){var o,n,a=[];if(e.type===i.Z.OBJECT_TYPE_TICKS)a.push([1,NaN,NaN]);else if(e.elementClass===i.Z.OBJECT_CLASS_LINE)a.push(e.point1.coords.usrCoords),a.push(e.point2.coords.usrCoords);else if(e.elementClass===i.Z.OBJECT_CLASS_CIRCLE)a.push(e.center.coords.usrCoords),"twoPoints"===e.method&&a.push(e.point2.coords.usrCoords);else if(e.type===i.Z.OBJECT_TYPE_POLYGON)for(n=e.vertices.length-1,o=0;o<n;o++)a.push(e.vertices[o].coords.usrCoords);else if(e.type===i.Z.OBJECT_TYPE_SECTOR)a.push(e.point1.coords.usrCoords),a.push(e.point2.coords.usrCoords),a.push(e.point3.coords.usrCoords);else if(s.Z.isPoint(e)||e.type===i.Z.OBJECT_TYPE_GLIDER)a.push(e.coords.usrCoords);else if(e.elementClass===i.Z.OBJECT_CLASS_CURVE)e.points.length>0&&a.push(e.points[0].usrCoords);else try{a.push(e.coords.usrCoords)}catch(e){t.Z.debug("JSXGraph+ saveStartPos: obj.coords.usrCoords not available: "+e)}for(n=a.length,o=0;o<n;o++)r.Zstart.push(a[o][0]),r.Xstart.push(a[o][1]),r.Ystart.push(a[o][2])},mouseOriginMoveStart:function(t){var e,i;return(e=this._isRequiredKeyPressed(t,"pan"))&&(i=this.getMousePosition(t),this.initMoveOrigin(i[0],i[1])),e},mouseOriginMove:function(t){var e,i=this.mode===this.BOARD_MODE_MOVE_ORIGIN;return i&&(e=this.getMousePosition(t),this.moveOrigin(e[0],e[1],!0)),i},touchStartMoveOriginOneFinger:function(e){var i,s,r=e[t.Z.touchProperty];return(i=this.attr.pan.enabled&&!this.attr.pan.needtwofingers&&1===r.length)&&(s=this.getMousePosition(e,0),this.initMoveOrigin(s[0],s[1])),i},touchOriginMove:function(t){var e,i=this.mode===this.BOARD_MODE_MOVE_ORIGIN;return i&&(e=this.getMousePosition(t,0),this.moveOrigin(e[0],e[1],!0)),i},originMoveEnd:function(){this.updateQuality=this.BOARD_QUALITY_HIGH,this.mode=this.BOARD_MODE_NONE},addEventHandlers:function(){e.Z.supportsPointerEvents()?this.addPointerEventHandlers():(this.addMouseEventHandlers(),this.addTouchEventHandlers()),null!==this.containerObj&&(this.containerObj.oncontextmenu=function(t){return s.Z.exists(t)&&t.preventDefault(),!1}),this.addKeyboardEventHandlers()},addResizeEventHandlers:function(){if(e.Z.isBrowser){try{this.startResizeObserver()}catch(t){e.Z.addEvent(window,"resize",this.resizeListener,this),this.startIntersectionObserver()}e.Z.addEvent(window,"scroll",this.scrollListener,this)}},removeEventHandlers:function(){this.removeMouseEventHandlers(),this.removeTouchEventHandlers(),this.removePointerEventHandlers(),this.removeFullscreenEventHandlers(),this.removeKeyboardEventHandlers(),e.Z.isBrowser&&(s.Z.exists(this.resizeObserver)?this.stopResizeObserver():(e.Z.removeEvent(window,"resize",this.resizeListener,this),this.stopIntersectionObserver()),e.Z.removeEvent(window,"scroll",this.scrollListener,this))},addPointerEventHandlers:function(){if(!this.hasPointerHandlers&&e.Z.isBrowser){var t=this.attr.movetarget||this.containerObj;window.navigator.msPointerEnabled?(e.Z.addEvent(this.containerObj,"MSPointerDown",this.pointerDownListener,this),e.Z.addEvent(t,"MSPointerMove",this.pointerMoveListener,this)):(e.Z.addEvent(this.containerObj,"pointerdown",this.pointerDownListener,this),e.Z.addEvent(t,"pointermove",this.pointerMoveListener,this),e.Z.addEvent(t,"pointerleave",this.pointerLeaveListener,this)),e.Z.addEvent(this.containerObj,"mousewheel",this.mouseWheelListener,this),e.Z.addEvent(this.containerObj,"DOMMouseScroll",this.mouseWheelListener,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(this.containerObj,"mousewheel",this.mouseWheelListener,this),e.Z.addEvent(this.containerObj,"DOMMouseScroll",this.mouseWheelListener,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}},addFullscreenEventHandlers:function(){var t,i=["fullscreenchange","mozfullscreenchange","webkitfullscreenchange","msfullscreenchange"],s=i.length;if(!this.hasFullscreenEventHandlers&&e.Z.isBrowser){for(t=0;t<s;t++)e.Z.addEvent(this.document,i[t],this.fullscreenListener,this);this.hasFullscreenEventHandlers=!0}},addKeyboardEventHandlers:function(){this.attr.keyboard.enabled&&!this.hasKeyboardHandlers&&e.Z.isBrowser&&(e.Z.addEvent(this.containerObj,"keydown",this.keyDownListener,this),e.Z.addEvent(this.containerObj,"focusin",this.keyFocusInListener,this),e.Z.addEvent(this.containerObj,"focusout",this.keyFocusOutListener,this),this.hasKeyboardHandlers=!0)},removeKeyboardEventHandlers:function(){this.hasKeyboardHandlers&&e.Z.isBrowser&&(e.Z.removeEvent(this.containerObj,"keydown",this.keyDownListener,this),e.Z.removeEvent(this.containerObj,"focusin",this.keyFocusInListener,this),e.Z.removeEvent(this.containerObj,"focusout",this.keyFocusOutListener,this),this.hasKeyboardHandlers=!1)},removeFullscreenEventHandlers:function(){var t,i=["fullscreenchange","mozfullscreenchange","webkitfullscreenchange","msfullscreenchange"],s=i.length;if(this.hasFullscreenEventHandlers&&e.Z.isBrowser){for(t=0;t<s;t++)e.Z.removeEvent(this.document,i[t],this.fullscreenListener,this);this.hasFullscreenEventHandlers=!1}},removePointerEventHandlers:function(){if(this.hasPointerHandlers&&e.Z.isBrowser){var t=this.attr.movetarget||this.containerObj;window.navigator.msPointerEnabled?(e.Z.removeEvent(this.containerObj,"MSPointerDown",this.pointerDownListener,this),e.Z.removeEvent(t,"MSPointerMove",this.pointerMoveListener,this)):(e.Z.removeEvent(this.containerObj,"pointerdown",this.pointerDownListener,this),e.Z.removeEvent(t,"pointermove",this.pointerMoveListener,this),e.Z.removeEvent(t,"pointerleave",this.pointerLeaveListener,this)),e.Z.removeEvent(this.containerObj,"mousewheel",this.mouseWheelListener,this),e.Z.removeEvent(this.containerObj,"DOMMouseScroll",this.mouseWheelListener,this),this.hasPointerUp&&(window.navigator.msPointerEnabled?e.Z.removeEvent(this.document,"MSPointerUp",this.pointerUpListener,this):(e.Z.removeEvent(this.document,"pointerup",this.pointerUpListener,this),e.Z.removeEvent(this.document,"pointercancel",this.pointerUpListener,this)),this.hasPointerUp=!1),this.hasPointerHandlers=!1}},removeMouseEventHandlers:function(){if(this.hasMouseHandlers&&e.Z.isBrowser){var t=this.attr.movetarget||this.containerObj;e.Z.removeEvent(this.containerObj,"mousedown",this.mouseDownListener,this),e.Z.removeEvent(t,"mousemove",this.mouseMoveListener,this),this.hasMouseUp&&(e.Z.removeEvent(this.document,"mouseup",this.mouseUpListener,this),this.hasMouseUp=!1),e.Z.removeEvent(this.containerObj,"mousewheel",this.mouseWheelListener,this),e.Z.removeEvent(this.containerObj,"DOMMouseScroll",this.mouseWheelListener,this),this.hasMouseHandlers=!1}},removeTouchEventHandlers:function(){if(this.hasTouchHandlers&&e.Z.isBrowser){var t=this.attr.movetarget||this.containerObj;e.Z.removeEvent(this.containerObj,"touchstart",this.touchStartListener,this),e.Z.removeEvent(t,"touchmove",this.touchMoveListener,this),this.hasTouchEnd&&(e.Z.removeEvent(this.document,"touchend",this.touchEndListener,this),this.hasTouchEnd=!1),this.hasTouchHandlers=!1}},clickLeftArrow:function(){return this.moveOrigin(this.origin.scrCoords[1]+.1*this.canvasWidth,this.origin.scrCoords[2]),this},clickRightArrow:function(){return this.moveOrigin(this.origin.scrCoords[1]-.1*this.canvasWidth,this.origin.scrCoords[2]),this},clickUpArrow:function(){return this.moveOrigin(this.origin.scrCoords[1],this.origin.scrCoords[2]-.1*this.canvasHeight),this},clickDownArrow:function(){return this.moveOrigin(this.origin.scrCoords[1],this.origin.scrCoords[2]+.1*this.canvasHeight),this},gestureChangeListener:function(t){var e,r,o,n,a,h,l,d,p,f,_,m,g=!1,b=this.attr.zoom.factorx,v=this.attr.zoom.factory;return this.mode!==this.BOARD_MODE_ZOOM||(t.preventDefault(),h=u.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=h/this.prevDist),!!s.Z.exists(this.prevCoords)&&(r=[t.touches[0].clientX-this.prevCoords[0][0],t.touches[0].clientY-this.prevCoords[0][1]],o=[t.touches[1].clientX-this.prevCoords[1][0],t.touches[1].clientY-this.prevCoords[1][1]],r[0]*r[0]+r[1]*r[1]<100&&o[0]*o[0]+o[1]*o[1]<100||(n=u.Z.rad(r,[0,0],o),"pan"!==this.isPreviousGesture&&Math.abs(n)>.2*Math.PI&&Math.abs(n)<1.8*Math.PI&&(g=!0),"pan"===this.isPreviousGesture||g||(Math.abs(t.scale)<.77||Math.abs(t.scale)>1.3)&&(g=!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 c.Z(i.Z.COORDS_BY_SCREEN,this.getMousePosition(t,0),this),this.attr.pan.enabled&&this.attr.pan.needtwofingers&&!g?(this.isPreviousGesture="pan",this.moveOrigin(e.scrCoords[1],e.scrCoords[2],!0)):this.attr.zoom.enabled&&Math.abs(a-1)<.5&&((this.attr.zoom.pinchhorizontal||this.attr.zoom.pinchvertical)&&(p=Math.abs(t.touches[0].clientX-t.touches[1].clientX),f=Math.abs(t.touches[0].clientY-t.touches[1].clientY),l=Math.abs(Math.atan2(f,p)),d=Math.PI*this.attr.zoom.pinchsensitivity/90),this.attr.zoom.pinchhorizontal&&l<d?(this.attr.zoom.factorx=a,this.attr.zoom.factory=1,_=0,m=0):this.attr.zoom.pinchvertical&&Math.abs(l-.5*Math.PI)<d?(this.attr.zoom.factorx=1,this.attr.zoom.factory=a,_=0,m=0):(this.attr.zoom.factorx=a,this.attr.zoom.factory=a,_=e.usrCoords[1],m=e.usrCoords[2]),this.zoomIn(_,m),this.attr.zoom.factorx=b,this.attr.zoom.factory=v)),!1))},gestureStartListener:function(t){var e;return t.preventDefault(),this.prevScale=1,this.prevDist=u.Z.distance([t.touches[0].clientX,t.touches[0].clientY],[t.touches[1].clientX,t.touches[1].clientY],2),this.prevCoords=[[t.touches[0].clientX,t.touches[0].clientY],[t.touches[1].clientX,t.touches[1].clientY]],this.isPreviousGesture="none",e=this.getMousePosition(t,0),this.initMoveOrigin(e[0],e[1]),this.mode=this.BOARD_MODE_ZOOM,!1},_isRequiredKeyPressed:function(t,e){var i=this.attr[e];return!!i.enabled&&!(!(i.needshift&&t.shiftKey||!i.needshift&&!t.shiftKey)||!(i.needctrl&&t.ctrlKey||!i.needctrl&&!t.ctrlKey))},_isPointerRegistered:function(t){var e,i=this._board_touches.length;for(e=0;e<i;e++)if(this._board_touches[e].pointerId===t.pointerId)return!0;return!1},_pointerStorePosition:function(t){var e,i;for(e=0,i=!1;e<this._board_touches.length;e++)if(this._board_touches[e].pointerId===t.pointerId){this._board_touches[e].clientX=t.clientX,this._board_touches[e].clientY=t.clientY,i=!0;break}return!i&&this._board_touches.length<2&&this._board_touches.push({pointerId:t.pointerId,clientX:t.clientX,clientY:t.clientY}),this},_pointerRemoveTouches:function(t){var e;for(e=0;e<this._board_touches.length;e++)if(this._board_touches[e].pointerId===t.pointerId){this._board_touches.splice(e,1);break}return this},_pointerClearTouches:function(t){this._board_touches.length>0&&this.dehighlightAll(),this.updateQuality=this.BOARD_QUALITY_HIGH,this.mode=this.BOARD_MODE_NONE,this._board_touches=[],this.touches=[]},_getPointerInputDevice:function(t){if(e.Z.isBrowser){if("touch"===t.pointerType||window.navigator.msMaxTouchPoints&&window.navigator.msMaxTouchPoints>1)return"touch";if("mouse"===t.pointerType)return"mouse";if("pen"===t.pointerType)return"pen"}return"mouse"},pointerDownListener:function(t,i,r){var o,n,a,h,l,c,d,u,p,f,_;if(!i&&this._isPointerRegistered(t))return!1;if(!i&&t.isPrimary,this.hasPointerUp||(window.navigator.msPointerEnabled?e.Z.addEvent(this.document,"MSPointerUp",this.pointerUpListener,this):(e.Z.addEvent(this.document,"pointerup",this.pointerUpListener,this),e.Z.addEvent(this.document,"pointercancel",this.pointerUpListener,this)),this.hasPointerUp=!0),this.hasMouseHandlers&&this.removeMouseEventHandlers(),this.hasTouchHandlers&&this.removeTouchEventHandlers(),this.document.selection&&s.Z.isFunction(this.document.selection.empty))this.document.selection.empty();else if(window.getSelection&&(c=window.getSelection()).removeAllRanges)try{c.removeAllRanges()}catch(t){}if(this._inputDevice=this._getPointerInputDevice(t),u=this._inputDevice,this.options.precision.hasPoint=this.options.precision[u],h=this.getMousePosition(t),this._testForSelection(t),this.selectingMode)return this._startSelecting(h),void this.triggerEventHandlers(["touchstartselecting","pointerstartselecting","startselecting"],[t]);if(this.attr.drag.enabled&&i?(l=[i],this.mode=this.BOARD_MODE_DRAG):l=this.initMoveObject(h[0],h[1],t,u),d={num:t.pointerId,X:h[0],Y:h[1],Xprev:NaN,Yprev:NaN,Xstart:[],Ystart:[],Zstart:[]},l.length>0){for(f=l[l.length-1],p=!1,o=0;o<this.touches.length;o++)if(this.touches[o].obj===f){n=o,a=this.touches[o].targets.push(d)-1,p=!0;break}p||(a=0,n=this.touches.push({obj:f,targets:[d]})-1),this.dehighlightAll(),f.highlight(!0),this.saveStartPos(f,this.touches[n].targets[a]),t&&t.preventDefault&&!r&&t.preventDefault()}return this.touches.length>0&&!r&&(t.preventDefault(),t.stopPropagation()),!!e.Z.isBrowser&&("touch"!==this._getPointerInputDevice(t)?this.mode===this.BOARD_MODE_NONE&&this.mouseOriginMoveStart(t):(this._pointerStorePosition(t),t.touches=this._board_touches,1===t.touches.length&&this.mode===this.BOARD_MODE_NONE&&this.touchStartMoveOriginOneFinger(t)||2!==t.touches.length||this.mode!==this.BOARD_MODE_NONE&&this.mode!==this.BOARD_MODE_MOVE_ORIGIN||(this.mode===this.BOARD_MODE_MOVE_ORIGIN&&this.originMoveEnd(),this.gestureStartListener(t))),_="none",this.mode!==this.BOARD_MODE_NONE||!s.Z.evaluate(this.attr.browserpan)||s.Z.evaluate(this.attr.pan.enabled)&&!s.Z.evaluate(this.attr.pan.needtwofingers)||(_="pan-x pan-y"),this.containerObj.style.touchAction=_,this.triggerEventHandlers(["touchstart","down","pointerdown","MSPointerDown"],[t]),!0)},pointerMoveListener:function(t){var e,i,s,r,o;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),o=this._inputDevice,this.options.precision.hasPoint=this.options.precision[o],this.selectingMode)s=this.getMousePosition(t),this._moveSelecting(s),this.triggerEventHandlers(["touchmoveselecting","moveselecting","pointermoveselecting"],[t,this.mode]);else if(!this.mouseOriginMove(t))if(this.mode===this.BOARD_MODE_DRAG){for(s=this.getMousePosition(t),e=0;e<this.touches.length;e++)for(r=this.touches[e].targets,i=0;i<r.length;i++)if(r[i].num===t.pointerId){r[i].X=s[0],r[i].Y=s[1],1===r.length?this.moveObject(s[0],s[1],this.touches[e],t,o):2===r.length&&(this.twoFingerMove(this.touches[e],t.pointerId,t),r[i].Xprev=s[0],r[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))),s=this.getMousePosition(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,r,o,n,a=!1;if(this.triggerEventHandlers(["touchend","up","pointerup","MSPointerUp"],[t]),this.displayInfobox(!1),t)for(i=0;i<this.touches.length;i++)for(n=this.touches[i].targets,r=0;r<n.length;r++)if(n[r].num===t.pointerId){n.splice(r,1),0===n.length&&this.touches.splice(i,1);break}if(this.originMoveEnd(),this.update(),this.selectingMode)this._stopSelecting(t),this.triggerEventHandlers(["touchstopselecting","pointerstopselecting","stopselecting"],[t]),this.stopSelectionMode();else for(i=this.downObjects.length-1;i>-1;i--){for(o=!1,r=0;r<this.touches.length;r++)this.touches[r].obj.id===this.downObjects[i].id&&(o=!0);o||(this.downObjects[i].triggerEventHandlers(["touchend","up","pointerup","MSPointerUp"],[t]),s.Z.exists(this.downObjects[i].coords)||(this.downObjects[i].snapToGrid(),this.downObjects[i].snapToPoints(),a=!0),this.downObjects.splice(i,1))}return this.hasPointerUp&&(window.navigator.msPointerEnabled?e.Z.removeEvent(this.document,"MSPointerUp",this.pointerUpListener,this):(e.Z.removeEvent(this.document,"pointerup",this.pointerUpListener,this),e.Z.removeEvent(this.document,"pointercancel",this.pointerUpListener,this)),this.hasPointerUp=!1),this._pointerClearTouches(t.pointerId),"touch"!==this._getPointerInputDevice(t)&&this.dehighlightAll(),a&&this.update(),!0},pointerLeaveListener:function(t){return this.displayInfobox(!1),this.dehighlightAll(),!0},touchStartListener:function(r){var o,n,a,h,l,c,d,u,p,f,_=this.options.precision.touch,m=r[t.Z.touchProperty];for(this.hasTouchEnd||(e.Z.addEvent(this.document,"touchend",this.touchEndListener,this),this.hasTouchEnd=!0),this.document.selection&&s.Z.isFunction(this.document.selection.empty)?this.document.selection.empty():window.getSelection&&window.getSelection().removeAllRanges(),this._inputDevice="touch",this.options.precision.hasPoint=this.options.precision.touch,o=0;o<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 = "+T.Z.precision.touchMax),f.splice(o,1))}for(o=0;o<m.length;o++)if(!m[o].jxg_isused){if(n=this.getMousePosition(r,o),this.selectingMode)return this._startSelecting(n),this.triggerEventHandlers(["touchstartselecting","startselecting"],[r]),r.preventDefault(),r.stopPropagation(),this.options.precision.hasPoint=this.options.precision.mouse,this.touches.length>0;if(0!==(a=this.initMoveObject(n[0],n[1],r,"touch")).length)if(c=a[a.length-1],p={num:o,X:m[o].screenX,Y:m[o].screenY,Xprev:NaN,Yprev:NaN,Xstart:[],Ystart:[],Zstart:[]},s.Z.isPoint(c)||c.elementClass===i.Z.OBJECT_CLASS_TEXT||c.type===i.Z.OBJECT_TYPE_TICKS||c.type===i.Z.OBJECT_TYPE_IMAGE)u=[p],this.saveStartPos(c,u[0]),this.touches.push({obj:c,targets:u}),c.highlight(!0);else if(c.elementClass===i.Z.OBJECT_CLASS_LINE||c.elementClass===i.Z.OBJECT_CLASS_CIRCLE||c.elementClass===i.Z.OBJECT_CLASS_CURVE||c.type===i.Z.OBJECT_TYPE_POLYGON){for(d=!1,h=0;h<this.touches.length;h++)c.id===this.touches[h].obj.id&&(d=!0,1===this.touches[h].targets.length&&(this.saveStartPos(c,p),this.touches[h].targets.push(p)),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&&(r.preventDefault(),r.stopPropagation()),1===m.length&&this.mode===this.BOARD_MODE_NONE&&this.touchStartMoveOriginOneFinger(r)||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(r)),this.options.precision.hasPoint=this.options.precision.mouse,this.triggerEventHandlers(["touchstart","down"],[r]),!1},touchMoveListener:function(e){var i,s,r,o,n=e[t.Z.touchProperty];if(!this.checkFrameRate(e))return!1;if(this.mode!==this.BOARD_MODE_NONE&&(e.preventDefault(),e.stopPropagation()),this.mode!==this.BOARD_MODE_DRAG&&(this.dehighlightAll(),this.displayInfobox(!1)),this._inputDevice="touch",this.options.precision.hasPoint=this.options.precision.touch,this.updateQuality=this.BOARD_QUALITY_LOW,this.selectingMode){for(i=0;i<n.length;i++)if(!n[i].jxg_isused){s=this.getMousePosition(e,i),this._moveSelecting(s),this.triggerEventHandlers(["touchmoves","moveselecting"],[e,this.mode]);break}}else if(!this.touchOriginMove(e))if(this.mode===this.BOARD_MODE_DRAG){for(i=0;i<this.touches.length;i++)if(1===(o=this.touches[i].targets).length){if(n[o[0].num]){if((s=this.getMousePosition(e,o[0].num))[0]<0||s[0]>this.canvasWidth||s[1]<0||s[1]>this.canvasHeight)return;o[0].X=s[0],o[0].Y=s[1],this.moveObject(s[0],s[1],this.touches[i],e,"touch")}}else if(2===o.length&&o[0].num>-1&&o[1].num>-1&&n[o[0].num]&&n[o[1].num]){if(s=this.getMousePosition(e,o[0].num),r=this.getMousePosition(e,o[1].num),s[0]<0||s[0]>this.canvasWidth||s[1]<0||s[1]>this.canvasHeight||r[0]<0||r[0]>this.canvasWidth||r[1]<0||r[1]>this.canvasHeight)return;o[0].X=s[0],o[0].Y=s[1],o[1].X=r[0],o[1].Y=r[1],this.twoFingerMove(this.touches[i],o[0].num,e),o[0].Xprev=s[0],o[0].Yprev=s[1],o[1].Xprev=r[0],o[1].Yprev=r[1]}}else 2===n.length&&this.gestureChangeListener(e),s=this.getMousePosition(e,0),this.highlightElements(s[0],s[1],e,-1);return this.mode!==this.BOARD_MODE_DRAG&&this.displayInfobox(!1),this.triggerEventHandlers(["touchmove","move"],[e,this.mode]),this.options.precision.hasPoint=this.options.precision.mouse,this.updateQuality=this.BOARD_QUALITY_HIGH,this.mode===this.BOARD_MODE_NONE},touchEndListener:function(r){var o,n,a,h,l,c,d=this.options.precision.touch,u=[],p=r&&r[t.Z.touchProperty],f=!1;if(this.triggerEventHandlers(["touchend","up"],[r]),this.displayInfobox(!1),this.selectingMode)this._stopSelecting(r),this.triggerEventHandlers(["touchstopselecting","stopselecting"],[r]),this.stopSelectionMode();else if(p&&p.length>0){for(o=0;o<this.touches.length;o++)u[o]=this.touches[o];for(this.touches.length=0,o=0;o<p.length;o++)p[o].jxg_isused=!1;for(o=0;o<u.length;o++){for(h=!1,l=0,c=u[o].targets,n=0;n<c.length;n++)for(c[n].found=!1,a=0;a<p.length;a++)if(Math.abs(Math.pow(p[a].screenX-c[n].X,2)+Math.pow(p[a].screenY-c[n].Y,2))<d*d){c[n].found=!0,c[n].num=a,c[n].X=p[a].screenX,c[n].Y=p[a].screenY,l+=1;break}if(s.Z.isPoint(u[o].obj)?h=c[0]&&c[0].found:u[o].obj.elementClass===i.Z.OBJECT_CLASS_LINE?h=c[0]&&c[0].found||c[1]&&c[1].found:u[o].obj.elementClass===i.Z.OBJECT_CLASS_CIRCLE&&(h=1===l||3===l),h)for(this.touches.push({obj:u[o].obj,targets:[]}),n=0;n<c.length;n++)c[n].found&&this.touches[this.touches.length-1].targets.push({num:c[n].num,X:c[n].screenX,Y:c[n].screenY,Xprev:NaN,Yprev:NaN,Xstart:c[n].Xstart,Ystart:c[n].Ystart,Zstart:c[n].Zstart});else u[o].obj.noHighlight()}}else this.touches.length=0;for(o=this.downObjects.length-1;o>-1;o--){for(h=!1,n=0;n<this.touches.length;n++)this.touches[n].obj.id===this.downObjects[o].id&&(h=!0);h||(this.downObjects[o].triggerEventHandlers(["touchup","up"],[r]),s.Z.exists(this.downObjects[o].coords)||(this.downObjects[o].snapToGrid(),this.downObjects[o].snapToPoints(),f=!0),this.downObjects.splice(o,1))}return p&&0!==p.length||(this.hasTouchEnd&&(e.Z.removeEvent(this.document,"touchend",this.touchEndListener,this),this.hasTouchEnd=!1),this.dehighlightAll(),this.updateQuality=this.BOARD_QUALITY_HIGH,this.originMoveEnd(),f&&this.update()),!0},mouseDownListener:function(t){var i,r,o;if(this.document.selection&&s.Z.isFunction(this.document.selection.empty)?this.document.selection.empty():window.getSelection&&window.getSelection().removeAllRanges(),!this.hasMouseUp)return e.Z.addEvent(this.document,"mouseup",this.mouseUpListener,this),this.hasMouseUp=!0,this._inputDevice="mouse",this.options.precision.hasPoint=this.options.precision.mouse,i=this.getMousePosition(t),this._testForSelection(t),this.selectingMode?(this._startSelecting(i),void this.triggerEventHandlers(["mousestartselecting","startselecting"],[t])):(0===(r=this.initMoveObject(i[0],i[1],t,"mouse")).length?(this.mode=this.BOARD_MODE_NONE,o=!0):(this.mouse={obj:null,targets:[{X:i[0],Y:i[1],Xprev:NaN,Yprev:NaN}]},this.mouse.obj=r[r.length-1],this.dehighlightAll(),this.mouse.obj.highlight(!0),this.mouse.targets[0].Xstart=[],this.mouse.targets[0].Ystart=[],this.mouse.targets[0].Zstart=[],this.saveStartPos(this.mouse.obj,this.mouse.targets[0]),t&&t.preventDefault?t.preventDefault():window.event&&(window.event.returnValue=!1)),this.mode===this.BOARD_MODE_NONE&&(o=this.mouseOriginMoveStart(t)),this.triggerEventHandlers(["mousedown","down"],[t]),o)},mouseMoveListener:function(t){var e;if(!this.checkFrameRate(t))return!1;e=this.getMousePosition(t),this.updateQuality=this.BOARD_QUALITY_LOW,this.mode!==this.BOARD_MODE_DRAG&&(this.dehighlightAll(),this.displayInfobox(!1)),this.selectingMode?(this._moveSelecting(e),this.triggerEventHandlers(["mousemoveselecting","moveselecting"],[t,this.mode])):this.mouseOriginMove(t)||(this.mode===this.BOARD_MODE_DRAG?this.moveObject(e[0],e[1],this.mouse,t,"mouse"):this.highlightElements(e[0],e[1],t,-1),this.triggerEventHandlers(["mousemove","move"],[t,this.mode])),this.updateQuality=this.BOARD_QUALITY_HIGH},mouseUpListener:function(t){var i;if(!1===this.selectingMode&&this.triggerEventHandlers(["mouseup","up"],[t]),this.updateQuality=this.BOARD_QUALITY_HIGH,this.mouse&&this.mouse.obj&&(s.Z.exists(this.mouse.obj.coords)||(this.mouse.obj.snapToGrid(this.mouse.targets[0]),this.mouse.obj.snapToPoints())),this.originMoveEnd(),this.dehighlightAll(),this.update(),this.selectingMode)this._stopSelecting(t),this.triggerEventHandlers(["mousestopselecting","stopselecting"],[t]),this.stopSelectionMode();else for(i=0;i<this.downObjects.length;i++)this.downObjects[i].triggerEventHandlers(["mouseup","up"],[t]);this.downObjects.length=0,this.hasMouseUp&&(e.Z.removeEvent(this.document,"mouseup",this.mouseUpListener,this),this.hasMouseUp=!1),this.mouse=null},mouseWheelListener:function(t){if(!this.attr.zoom.wheel||!this._isRequiredKeyPressed(t,"zoom"))return!0;var e=(t=t||window.event).detail?-t.detail:t.wheelDelta/40,s=new c.Z(i.Z.COORDS_BY_SCREEN,this.getMousePosition(t),this);return e>0?this.zoomIn(s.usrCoords[1],s.usrCoords[2]):this.zoomOut(s.usrCoords[1],s.usrCoords[2]),this.triggerEventHandlers(["mousewheel"],[t]),t.preventDefault(),!1},keyDownListener:function(e){var r,o,n,a,h,l,c=e.target.id,d=0,u=0,p=s.Z.evaluate(this.attr.keyboard.dx)/this.unitX,f=s.Z.evaluate(this.attr.keyboard.dy)/this.unitY,_=!1,m=!0;return!(!this.attr.keyboard.enabled||""===c)&&((!(a=this.containerObj.shadowRoot||document).activeElement||"INPUT"!==(o=a.activeElement).tagName&&"textarea"!==o.tagName)&&(r=c.replace(this.containerObj.id+"_",""),o=this.select(r),s.Z.exists(o.coords)&&(l=o.coords.usrCoords.slice(1)),s.Z.evaluate(this.attr.keyboard.panshift)&&e.shiftKey||s.Z.evaluate(this.attr.keyboard.panctrl)&&e.ctrlKey?(!0===s.Z.evaluate(this.attr.zoom.enabled)&&(_=!0),38===e.keyCode?this.clickUpArrow():40===e.keyCode?this.clickDownArrow():37===e.keyCode?this.clickLeftArrow():39===e.keyCode?this.clickRightArrow():_&&171===e.keyCode?this.zoomIn():_&&173===e.keyCode?this.zoomOut():_&&79===e.keyCode?this.zoom100():m=!1):(s.Z.exists(o.visProp)&&(s.Z.exists(o.visProp.snaptogrid)&&o.visProp.snaptogrid&&s.Z.evaluate(o.visProp.snapsizex)&&s.Z.evaluate(o.visProp.snapsizey)?(d=(n=o.getSnapSizes())[0],u=n[1],p=Math.max(d,p),f=Math.max(u,f)):s.Z.exists(o.visProp.attracttogrid)&&o.visProp.attracttogrid&&s.Z.evaluate(o.visProp.attractordistance)&&s.Z.evaluate(o.visProp.attractorunit)&&(u=d=1.1*s.Z.evaluate(o.visProp.attractordistance),"screen"===s.Z.evaluate(o.visProp.attractorunit)&&(d/=this.unitX,u/=this.unitX),p=Math.max(d,p),f=Math.max(u,f))),38===e.keyCode?h=[0,f]:40===e.keyCode?h=[0,-f]:37===e.keyCode?h=[-p,0]:39===e.keyCode?h=[p,0]:m=!1,h&&o.isDraggable&&o.visPropCalc.visible&&(this.geonextCompatibilityMode&&(s.Z.isPoint(o)||o.elementClass===i.Z.OBJECT_CLASS_TEXT)||!this.geonextCompatibilityMode)&&!s.Z.evaluate(o.visProp.fixed)&&(this.mode=this.BOARD_MODE_DRAG,s.Z.exists(o.coords)&&(h[0]+=l[0],h[1]+=l[1]),s.Z.exists(o.coords)?(o.setPosition(t.Z.COORDS_BY_USER,h),this.updateInfobox(o)):(this.displayInfobox(!1),o.setPositionDirectly(i.Z.COORDS_BY_USER,h,[0,0])),this.triggerEventHandlers(["keymove","move"],[e,this.mode]),o.triggerEventHandlers(["keydrag","drag"],[e]),this.mode=this.BOARD_MODE_NONE)),this.update(),m&&s.Z.exists(e.preventDefault)&&e.preventDefault(),m))},keyFocusInListener:function(t){var e,i,r=t.target.id;if(!this.attr.keyboard.enabled||""===r)return!1;e=r.replace(this.containerObj.id+"_",""),i=this.select(e),s.Z.exists(i.highlight)&&(i.highlight(!0),this.focusObjects=[e],i.triggerEventHandlers(["hit"],[t])),s.Z.exists(i.coords)&&this.updateInfobox(i)},keyFocusOutListener:function(t){if(!this.attr.keyboard.enabled)return!1;this.focusObjects=[],this.dehighlightAll(),this.displayInfobox(!1)},updateContainerDims:function(){var t,e,i,r,o,n;t=(i=this.containerObj.getBoundingClientRect()).width,e=i.height,window&&window.getComputedStyle&&(r=window.getComputedStyle(this.containerObj,null),o=parseFloat(r.getPropertyValue("border-left-width"))+parseFloat(r.getPropertyValue("border-right-width")),isNaN(o)||(t-=o),n=parseFloat(r.getPropertyValue("border-top-width"))+parseFloat(r.getPropertyValue("border-bottom-width")),isNaN(n)||(e-=n)),t<=0||e<=0||isNaN(t)||isNaN(e)||(isNaN(this.getBoundingBox()[0])&&this.setBoundingBox(this.attr.boundingbox,this.keepaspectratio,"keep"),s.Z.exists(this._prevDim)&&this._prevDim.w===t&&this._prevDim.h===e||(this.resizeContainer(t,e,!0),this._prevDim={w:t,h:e}))},startResizeObserver:function(){var t=this;e.Z.isBrowser&&this.attr.resize&&this.attr.resize.enabled&&(this.resizeObserver=new ResizeObserver((function(e){t._isResizing||(t._isResizing=!0,window.setTimeout((function(){try{t.updateContainerDims()}catch(e){t.stopResizeObserver()}finally{t._isResizing=!1}}),t.attr.resize.throttle))})),this.resizeObserver.observe(this.containerObj))},stopResizeObserver:function(){e.Z.isBrowser&&this.attr.resize&&this.attr.resize.enabled&&s.Z.exists(this.resizeObserver)&&this.resizeObserver.unobserve(this.containerObj)},resizeListener:function(){var t=this;e.Z.isBrowser&&this.attr.resize&&this.attr.resize.enabled&&(this._isScrolling||this._isResizing||(this._isResizing=!0,window.setTimeout((function(){t.updateContainerDims(),t._isResizing=!1}),this.attr.resize.throttle)))},scrollListener:function(t){var i=this;e.Z.isBrowser&&(this._isScrolling||(this._isScrolling=!0,window.setTimeout((function(){i._isScrolling=!1}),66)))},startIntersectionObserver:function(){var t=this;try{this.intersectionObserver=new IntersectionObserver((function(e){isNaN(t.getBoundingBox()[0])&&t.updateContainerDims()}),{root:null,rootMargin:"0px",threshold:.8}),this.intersectionObserver.observe(t.containerObj)}catch(t){console.log("JSXGraph: IntersectionObserver not available in this browser.")}},stopIntersectionObserver:function(){s.Z.exists(this.intersectionObserver)&&this.intersectionObserver.unobserve(this.containerObj)},initInfobox:function(t){var e=s.Z.copyAttributes(t,this.options,"infobox");return e.id=this.id+"_infobox",this.infobox=this.create("text",[0,0,"0,0"],e),this.infobox.dump=!1,this.displayInfobox(!1),this},updateInfobox:function(t){var e,i,r,o,n,a,h,l=s.Z.evaluate(t.visProp.showinfobox);return!s.Z.evaluate(this.attr.showinfobox)&&"inherit"===l||!l||s.Z.isPoint(t)&&(r=t.coords.usrCoords[1],o=t.coords.usrCoords[2],a=s.Z.evaluate(this.infobox.visProp.distancex),h=s.Z.evaluate(this.infobox.visProp.distancey),this.infobox.setCoords(r+a/this.unitX,o+h/this.unitY),n=s.Z.evaluate(t.visProp.infoboxdigits),"string"!=typeof t.infoboxText?("auto"===n?this.infobox.useLocale()?(e=this.infobox.formatNumberLocale(r),i=this.infobox.formatNumberLocale(o)):(e=s.Z.autoDigits(r),i=s.Z.autoDigits(o)):s.Z.isNumber(n)?this.infobox.useLocale()?(e=this.infobox.formatNumberLocale(r,n),i=this.infobox.formatNumberLocale(o,n)):(e=s.Z.toFixed(r,n),i=s.Z.toFixed(o,n)):(e=r,i=o),this.highlightInfobox(e,i,t)):this.highlightCustomInfobox(t.infoboxText,t),this.displayInfobox(!0)),this},displayInfobox:function(t){return!t&&this.focusObjects.length>0&&this.select(this.focusObjects[0]).elementClass===i.Z.OBJECT_CLASS_POINT||this.infobox.hiddenByParent===t&&(this.infobox.hiddenByParent=!t,this.infobox.prepareUpdate().updateVisibility(t).updateRenderer()),this},showInfobox:function(t){return this.displayInfobox(t)},highlightInfobox:function(t,e,i){return this.highlightCustomInfobox("("+t+", "+e+")",i),this},highlightCustomInfobox:function(t,e){return this.infobox.setText(t),this},dehighlightAll:function(){var t,e,i={},s=!1;for(t in this.highlightedObjects)this.highlightedObjects.hasOwnProperty(t)&&(e=this.highlightedObjects[t],this.focusObjects.indexOf(t)<0?((this.hasMouseHandlers||this.hasPointerHandlers)&&e.noHighlight(),s=!0):i[t]=e);return this.highlightedObjects=i,"canvas"===this.renderer.type&&s&&(this.prepareUpdate(),this.renderer.suspendRedraw(this),this.updateRenderer(),this.renderer.unsuspendRedraw()),this},getScrCoordsOfMouse:function(t,e){return[t,e]},getUsrCoordsOfMouse:function(t){var s=this.getCoordsTopLeftCorner(),r=e.Z.getPosition(t,null,this.document),o=r[0]-s[0],n=r[1]-s[1];return new c.Z(i.Z.COORDS_BY_SCREEN,[o,n],this).usrCoords.slice(1)},getAllUnderMouse:function(t){var e=this.getAllObjectsUnderMouse(t);return e.push(this.getUsrCoordsOfMouse(t)),e},getAllObjectsUnderMouse:function(t){var i,s,r=this.getCoordsTopLeftCorner(),o=e.Z.getPosition(t,null,this.document),n=o[0]-r[0],a=o[1]-r[1],h=[],l=this.objectsList.length;for(i=0;i<l;i++)(s=this.objectsList[i]).visPropCalc.visible&&s.hasPoint&&s.hasPoint(n,a)&&(h[h.length]=s);return h},updateCoords:function(){var t,e,i=this.objectsList.length;for(e=0;e<i;e++)t=this.objectsList[e],s.Z.exists(t.coords)&&(s.Z.evaluate(t.visProp.frozen)?t.is3D?t.element2D.coords.screen2usr():t.coords.screen2usr():t.is3D?t.element2D.coords.usr2screen():t.coords.usr2screen());return this},moveOrigin:function(t,e,r){var o,n,a,h;return s.Z.exists(t)&&s.Z.exists(e)&&(o=this.origin.scrCoords[1],n=this.origin.scrCoords[2],this.origin.scrCoords[1]=t,this.origin.scrCoords[2]=e,r&&(this.origin.scrCoords[1]-=this.drag_dx,this.origin.scrCoords[2]-=this.drag_dy),a=new c.Z(i.Z.COORDS_BY_SCREEN,[0,0],this).usrCoords,h=new c.Z(i.Z.COORDS_BY_SCREEN,[this.canvasWidth,this.canvasHeight],this).usrCoords,(a[1]<this.maxboundingbox[0]||a[2]>this.maxboundingbox[1]||h[1]>this.maxboundingbox[2]||h[2]<this.maxboundingbox[3])&&(this.origin.scrCoords[1]=o,this.origin.scrCoords[2]=n)),this.updateCoords().clearTraces().fullUpdate(),this.triggerEventHandlers(["boundingbox"]),this},addConditions:function(e){var r,o,n,a,h,l,c,d=[],u=e.indexOf("<data>"),p=e.indexOf("</data>"),f=function(t,e,s,r){return function(){var o,n;n=(o=t.select(e.id)).coords.usrCoords[r],2===r?o.setPositionDirectly(i.Z.COORDS_BY_USER,[s(),n]):o.setPositionDirectly(i.Z.COORDS_BY_USER,[n,s()]),o.prepareUpdate().update()}},_=function(t,e,i){return function(){var s,r;s=t.select(e.id),r=i(),s.setAttribute({visible:r})}},m=function(t,e,i,s){return function(){var r,o;r=t.select(e.id),o=i(),"strokewidth"===s?r.visProp.strokewidth=o:(o=L.Z.rgba2rgbo(o),r.visProp[s+"color"]=o[0],r.visProp[s+"opacity"]=o[1])}},g=function(t,e,i){return function(){t.select(e.id).position=i()}},b=function(t,e,i){return function(){t.select(e.id).setStyle(i())}};if(!(u<0)){for(;u>=0;){if(o=(r=e.slice(u+6,p)).indexOf("="),n=r.slice(0,o),a=r.slice(o+1),o=n.indexOf("."),h=n.slice(0,o),l=this.elementsByName[s.Z.unescapeHTML(h)],c=n.slice(o+1).replace(/\s+/g,"").toLowerCase(),a=s.Z.createFunction(a,this,"",!0),s.Z.exists(this.elementsByName[h]))switch(c){case"x":d.push(f(this,l,a,2));break;case"y":d.push(f(this,l,a,1));break;case"visible":d.push(_(this,l,a));break;case"position":d.push(g(this,l,a));break;case"stroke":d.push(m(this,l,a,"stroke"));break;case"style":d.push(b(this,l,a));break;case"strokewidth":d.push(m(this,l,a,"strokewidth"));break;case"fill":d.push(m(this,l,a,"fill"));break;case"label":break;default:t.Z.debug('property "'+c+'" in conditions not yet implemented:'+a)}else t.Z.debug("debug conditions: |"+h+"| undefined");u=(e=e.slice(p+7)).indexOf("<data>"),p=e.indexOf("</data>")}this.updateConditions=function(){var 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s.Z.exists(this.attr.boundingbox)?this.setBoundingBox(this.attr.boundingbox,this.keepaspectratio,"reset"):(e=((t=this.getBoundingBox())[2]-t[0])*(1-this.zoomX)*.5,i=(t[1]-t[3])*(1-this.zoomY)*.5,this.setBoundingBox([t[0]+e,t[1]-i,t[2]-e,t[3]+i],this.keepaspectratio,"reset")),this.applyZoom()},zoomAllPoints:function(){var t,e,i,r,o=0,n=0,a=0,h=0,l=this.objectsList.length;for(t=0;t<l;t++)r=this.objectsList[t],s.Z.isPoint(r)&&r.visPropCalc.visible&&(r.coords.usrCoords[1]<o?o=r.coords.usrCoords[1]:r.coords.usrCoords[1]>n&&(n=r.coords.usrCoords[1]),r.coords.usrCoords[2]>h?h=r.coords.usrCoords[2]:r.coords.usrCoords[2]<a&&(a=r.coords.usrCoords[2]));return 50,e=50/this.unitX,i=50/this.unitY,this.setBoundingBox([o-e,h+i,n+e,a-i],this.keepaspectratio,"update"),this.applyZoom()},zoomElements:function(t){var e,i,r,o,n,a,h,l=[1/0,-1/0,-1/0,1/0];if(!s.Z.isArray(t)||0===t.length)return 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this.objects)this.objects.hasOwnProperty(o)&&s.Z.exists(this.objects[o].childElements)&&s.Z.exists(this.objects[o].childElements.hasOwnProperty(e.id))&&(delete this.objects[o].childElements[e.id],delete this.objects[o].descendants[e.id]);else if(s.Z.exists(e.ancestors))for(o in e.ancestors)e.ancestors.hasOwnProperty(o)&&s.Z.exists(e.ancestors[o].childElements)&&s.Z.exists(e.ancestors[o].childElements.hasOwnProperty(e.id))&&(delete e.ancestors[o].childElements[e.id],delete e.ancestors[o].descendants[e.id]);if(e._pos>-1)for(this.objectsList.splice(e._pos,1),n=e._pos;n<this.objectsList.length;n++)this.objectsList[n]._pos--;else e.type!==i.Z.OBJECT_TYPE_TURTLE&&t.Z.debug("Board.removeObject: object "+e.id+" not found in list.");delete this.objects[e.id],delete this.elementsByName[e.name],e.visProp&&s.Z.evaluate(e.visProp.trace)&&e.clearTrace(),s.Z.exists(e.remove)&&e.remove()}catch(i){t.Z.debug(e.id+": Could not be removed: "+i)}return this.update(),this},removeAncestors:function(t){var 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e+="</p>\n",(s=window.open()).document.open(),s.document.write(e),s.document.close(),this},showXML:function(){var t=window.open("");return t.document.open(),t.document.write("<pre>"+s.Z.escapeHTML(this.xmlString)+"</pre>"),t.document.close(),this},prepareUpdate:function(){var t,e,i=this.objectsList.length;for(t=0;t<i;t++)(e=this.objectsList[t]).needsUpdate=e.needsRegularUpdate||this.needsFullUpdate;for(t in this.groups)this.groups.hasOwnProperty(t)&&((e=this.groups[t]).needsUpdate=e.needsRegularUpdate||this.needsFullUpdate);return this},updateElements:function(t){var e,r;for(t=this.select(t),e=0;e<this.objectsList.length;e++)r=this.objectsList[e],this.needsFullUpdate&&r.elementClass===i.Z.OBJECT_CLASS_TEXT&&r.updateSize(),r.update(!s.Z.exists(t)||r.id!==t.id).updateVisibility();for(e in this.groups)this.groups.hasOwnProperty(e)&&this.groups[e].update(t);return this},updateRenderer:function(){var t,e=this.objectsList.length;if(this.renderer){if("canvas"===this.renderer.type)this.updateRendererCanvas();else for(t=0;t<e;t++)this.objectsList[t].updateRenderer();return this}},updateRendererCanvas:function(){var t,e,i,s,r,o=this.objectsList.length,n=this.options.layer,a=this.options.layer.numlayers,h=Number.NEGATIVE_INFINITY;for(i=0;i<a;i++){for(r in s=Number.POSITIVE_INFINITY,n)n.hasOwnProperty(r)&&n[r]>h&&n[r]<s&&(s=n[r]);for(h=s,t=0;t<o;t++)(e=this.objectsList[t]).visProp.layer===s&&e.prepareUpdate().updateRenderer()}return this},addHook:function(e,i,r){return t.Z.deprecated("Board.addHook()","Board.on()"),i=s.Z.def(i,"update"),r=s.Z.def(r,this),this.hooks.push([i,e]),this.on(i,e,r),this.hooks.length-1},addEvent:t.Z.shortcut(t.Z.Board.prototype,"on"),removeHook:function(e){return 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this;for(this.inUpdate=!0,"all"===this.attr.minimizereflow&&this.containerObj&&"vml"!==this.renderer.type&&(n=this.document.activeElement,o=this.renderer.removeToInsertLater(this.containerObj)),"svg"===this.attr.minimizereflow&&"svg"===this.renderer.type&&(n=this.document.activeElement,o=this.renderer.removeToInsertLater(this.renderer.svgRoot)),this.prepareUpdate().updateElements(t).updateConditions(),this.renderer.suspendRedraw(this),this.updateRenderer(),this.renderer.unsuspendRedraw(),this.triggerEventHandlers(["update"],[]),o&&(o(),n.focus()),i=this.dependentBoards.length,e=0;e<i;e++)r=this.dependentBoards[e],s.Z.exists(r)&&r!==this&&(r.updateQuality=this.updateQuality,r.prepareUpdate().updateElements().updateConditions(),r.renderer.suspendRedraw(),r.updateRenderer(),r.renderer.unsuspendRedraw(),r.triggerEventHandlers(["update"],[]));return this.inUpdate=!1,this},fullUpdate:function(){return this.needsFullUpdate=!0,this.update(),this.needsFullUpdate=!1,this},addGrid:function(){return this.create("grid",[]),this},removeGrids:function(){var t;for(t=0;t<this.grids.length;t++)this.removeObject(this.grids[t]);return this.grids.length=0,this.update(),this},create:function(e,i,r){var o,n;for(e=e.toLowerCase(),s.Z.exists(i)||(i=[]),s.Z.exists(r)||(r={}),n=0;n<i.length;n++)!s.Z.isString(i[n])||"text"===e&&2===n||"solidofrevolution3d"===e&&2===n||!("input"!==e&&"checkbox"!==e&&"button"!==e||2!==n&&3!==n)||"curve"===e||"functiongraph"===e||(i[n]=this.select(i[n]));if(!s.Z.isFunction(t.Z.elements[e]))throw new Error("JSXGraph: create: Unknown element type given: "+e);return o=t.Z.elements[e](this,i,r),s.Z.exists(o)?(o.prepareUpdate&&o.update&&o.updateRenderer&&o.fullUpdate(),o):(t.Z.debug("JSXGraph: create: failure creating "+e),o)},createElement:function(){return t.Z.deprecated("Board.createElement()","Board.create()"),this.create.apply(this,arguments)},clearTraces:function(){var 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s.Z.isArray(t)?(t[0]<this.maxboundingbox[0]||t[1]>this.maxboundingbox[1]||t[2]>this.maxboundingbox[2]||t[3]<this.maxboundingbox[3]||(s.Z.exists(r)||(r="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=h/l,"keep"===r&&(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"===r?(this.zoomX*=this.unitX/h,this.zoomY*=this.unitY/l):"reset"===r&&(this.zoomX=s.Z.exists(this.attr.zoomx)?this.attr.zoomx:1,this.zoomY=s.Z.exists(this.attr.zoomy)?this.attr.zoomy:1)),this):this},getBoundingBox:function(){var 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this.containerObj.ownerDocument.getElementById(this.container+"_navigationbar").remove(),this.renderer.drawNavigationBar(this,this.attr.navbar),this.triggerEventHandlers(["attribute"],[d,this]),this.fullUpdate(),this},addAnimation:function(t){var e=this;return this.animationObjects[t.id]=t,this.animationIntervalCode||(this.animationIntervalCode=window.setInterval((function(){e.animate()}),t.board.attr.animationdelay)),this},stopAllAnimation:function(){var t;for(t in this.animationObjects)this.animationObjects.hasOwnProperty(t)&&s.Z.exists(this.animationObjects[t])&&(this.animationObjects[t]=null,delete this.animationObjects[t]);return window.clearInterval(this.animationIntervalCode),delete this.animationIntervalCode,this},animate:function(){var t,e,r,o,n,a,h,l,c=0,d=null;for(e in 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o,n,a,h,l=s.Z.evaluate(e),c=s.Z.evaluate(r),d=t.rendNode;c=c>0?c:0,t.visPropOld.strokecolor===l&&t.visPropOld.strokeopacity===c||(s.Z.exists(l)&&!1!==l&&(9!==l.length?(o=l,a=c):(o=(n=e.rgba2rgbo(l))[0],a=c*n[1]),t.elementClass===i.Z.OBJECT_CLASS_TEXT?(d.filters.length>1&&(d.filters.item(1).opacity=Math.round(100*a),d.filters.item(1).enabled=!0),d.style.color=o):(!1!==o&&(this._setAttr(d,"stroked","true"),this._setAttr(d,"strokecolor",o)),h=t.rendNodeStroke,s.Z.exists(a)&&t.type!==i.Z.OBJECT_TYPE_IMAGE&&this._setAttr(h,"opacity",100*a+"%"))),t.visPropOld.strokecolor=l,t.visPropOld.strokeopacity=c)},setObjectStrokeWidth:function(t,e){var i,r=s.Z.evaluate(e);isNaN(r)||t.visPropOld.strokewidth===r||(i=t.rendNode,this.setPropertyPrim(i,"stroked","true"),s.Z.exists(r)&&(this.setPropertyPrim(i,"stroke-width",r),0===r&&s.Z.exists(t.rendNodeStroke)&&this._setAttr(i,"stroked","false")),t.visPropOld.strokewidth=r)},setShadow:function(t){var 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i=(i=s.Z.evaluate(t.visProp.fillopacity))>0?i:0,e=s.Z.evaluate(t.visProp.fillcolor),"linear"===o?r=this.updateGradientAngle(t,s.Z.evaluate(t.visProp.gradientangle)):"radial"===o&&(r=this.updateGradientCircle(t,s.Z.evaluate(t.visProp.gradientcx),s.Z.evaluate(t.visProp.gradientcy),s.Z.evaluate(t.visProp.gradientr),s.Z.evaluate(t.visProp.gradientfx),s.Z.evaluate(t.visProp.gradientfy),s.Z.evaluate(t.visProp.gradientfr))),r.addColorStop(s.Z.evaluate(t.visProp.gradientstartoffset),e),r.addColorStop(s.Z.evaluate(t.visProp.gradientendoffset),s.Z.evaluate(t.visProp.gradientsecondcolor)),r},_setColor:function(t,e,i){var r,o,n,a,h,l,c,d,u=!0,p=t.visProp;return e=e||"stroke",i=i||e,r=this._getHighlighted(t),"linear"===(d=s.Z.evaluate(t.visProp.gradient))||"radial"===d?(this.context[i+"Style"]=this.updateGradient(t),u):("none"!==(n=s.Z.evaluate(p[r+e+"color"]))&&!1!==n?(l=(l=s.Z.evaluate(p[r+e+"opacity"]))>0?l:0,9!==n.length?(h=n,c=l):(h=(a=L.Z.rgba2rgbo(n))[0],c=l*a[1]),this.context.globalAlpha=c,this.context[i+"Style"]=h):u=!1,o=parseFloat(s.Z.evaluate(p[r+"strokewidth"])),"stroke"!==e||isNaN(o)||(0===o?this.context.globalAlpha=0:this.context.lineWidth=o),"stroke"===e&&void 0!==p.linecap&&""!==p.linecap&&(this.context.lineCap=p.linecap),u)},_stroke:function(t){var e=this.context,i=s.Z.evaluate(t.visProp.dash),r=s.Z.evaluate(t.visProp.dashscale)?.5*s.Z.evaluate(t.visProp.strokewidth):1;e.save(),i>0?e.setLineDash&&e.setLineDash(this.dashArray[i-1].map((function(t){return t*r}))):this.context.lineDashArray=[],this._setColor(t,"stroke")&&e.stroke(),e.restore()},_translateShape:function(t,e,i){var s,r=[],o=t.length;if(o<=0)return t;for(s=0;s<o;s++)r.push([t[s][0]+e,t[s][1]+i]);return r},drawPoint:function(t){var e=s.Z.evaluate(t.visProp.face),i=s.Z.evaluate(t.visProp.size),r=t.coords.scrCoords,o=i*Math.sqrt(3)*.5,n=.5*i,a=parseFloat(s.Z.evaluate(t.visProp.strokewidth))/2,h=this.context;if(t.visPropCalc.visible)switch(e){case"cross":case"x":h.beginPath(),h.moveTo(r[1]-i,r[2]-i),h.lineTo(r[1]+i,r[2]+i),h.moveTo(r[1]+i,r[2]-i),h.lineTo(r[1]-i,r[2]+i),h.lineCap="round",h.lineJoin="round",h.closePath(),this._stroke(t);break;case"circle":case"o":h.beginPath(),h.arc(r[1],r[2],i+1+a,0,2*Math.PI,!1),h.closePath(),this._fill(t),this._stroke(t);break;case"square":case"[]":if(i<=0)break;h.save(),this._setColor(t,"stroke","fill")&&h.fillRect(r[1]-i-a,r[2]-i-a,2*i+3*a,2*i+3*a),h.restore(),h.save(),this._setColor(t,"fill"),h.fillRect(r[1]-i+a,r[2]-i+a,2*i-a,2*i-a),h.restore();break;case"plus":case"+":h.beginPath(),h.moveTo(r[1]-i,r[2]),h.lineTo(r[1]+i,r[2]),h.moveTo(r[1],r[2]-i),h.lineTo(r[1],r[2]+i),h.lineCap="round",h.lineJoin="round",h.closePath(),this._stroke(t);break;case"divide":case"|":h.beginPath(),h.moveTo(r[1],r[2]-i),h.lineTo(r[1],r[2]+i),h.lineCap="round",h.lineJoin="round",h.closePath(),this._stroke(t);break;case"minus":case"-":h.beginPath(),h.moveTo(r[1]-i,r[2]),h.lineTo(r[1]+i,r[2]),h.lineCap="round",h.lineJoin="round",h.closePath(),this._stroke(t);break;case"diamond":case"<>":h.beginPath(),h.moveTo(r[1]-i,r[2]),h.lineTo(r[1],r[2]+i),h.lineTo(r[1]+i,r[2]),h.lineTo(r[1],r[2]-i),h.closePath(),this._fill(t),this._stroke(t);break;case"triangleup":case"A":case"a":case"^":h.beginPath(),h.moveTo(r[1],r[2]-i),h.lineTo(r[1]-o,r[2]+n),h.lineTo(r[1]+o,r[2]+n),h.closePath(),this._fill(t),this._stroke(t);break;case"triangledown":case"v":h.beginPath(),h.moveTo(r[1],r[2]+i),h.lineTo(r[1]-o,r[2]-n),h.lineTo(r[1]+o,r[2]-n),h.closePath(),this._fill(t),this._stroke(t);break;case"triangleleft":case"<":h.beginPath(),h.moveTo(r[1]-i,r[2]),h.lineTo(r[1]+n,r[2]-o),h.lineTo(r[1]+n,r[2]+o),h.closePath(),this._fill(t),this._stroke(t);break;case"triangleright":case">":h.beginPath(),h.moveTo(r[1]+i,r[2]),h.lineTo(r[1]-n,r[2]-o),h.lineTo(r[1]-n,r[2]+o),h.closePath(),this._fill(t),this._stroke(t)}},updatePoint:function(t){this.drawPoint(t)},drawArrows:function(t,e,r,o,n){var a,h,l,c,d,u,p,f,_,m,g,b,v,Z,C,y,P,E,O,x,S=this.context,w=1,M=1,T=1,N=n.evFirst,A=n.evLast;if("none"!==s.Z.evaluate(t.visProp.strokecolor)&&(N||A)){if(t.elementClass===i.Z.OBJECT_CLASS_LINE)a=e.scrCoords[1],h=e.scrCoords[2],l=r.scrCoords[1],c=r.scrCoords[2],O=x=Math.atan2(c-h,l-a);else{if(a=t.points[0].scrCoords[1],h=t.points[0].scrCoords[2],(E=t.points.length-1)<1)return;l=t.points[t.points.length-1].scrCoords[1],c=t.points[t.points.length-1].scrCoords[2],Z=t.points[1].scrCoords[1]-t.points[0].scrCoords[1],C=t.points[1].scrCoords[2]-t.points[0].scrCoords[2],y=t.points[E].scrCoords[1]-t.points[E-1].scrCoords[1],P=t.points[E].scrCoords[2]-t.points[E-1].scrCoords[2],N&&(O=Math.atan2(C,Z)),A&&(x=Math.atan2(P,y))}if(d=s.Z.evaluate(t.visProp[o+"strokewidth"]),N)if(u=d*n.sizeFirst,_=w=n.typeFirst,2===w)f=[[u,.5*-u],[0,0],[u,.5*u],[.5*u,0]];else if(3===w)f=[[u/3,.5*-u],[0,.5*-u],[0,.5*u],[u/3,.5*u]];else if(4===w)for(u/=10,M=3,v=(f=[[10,3.31],[6.47,3.84],[2.87,4.5],[0,6.63],[.67,5.52],[1.33,4.42],[2,3.31],[1.33,2.21],[.67,1.1],[0,0],[2.87,2.13],[6.47,2.79],[10,3.31]]).length,b=0;b<v;b++)f[b][0]*=-u,f[b][1]*=u,f[b][0]+=10*u,f[b][1]-=3.31*u;else if(5===w)for(u/=10,M=3,v=(f=[[10,3.28],[6.61,4.19],[3.19,5.07],[0,6.55],[.62,5.56],[1,4.44],[1,3.28],[1,2.11],[.62,.99],[0,0],[3.19,1.49],[6.61,2.37],[10,3.28]]).length,b=0;b<v;b++)f[b][0]*=-u,f[b][1]*=u,f[b][0]+=10*u,f[b][1]-=3.28*u;else if(6===w)for(u/=10,M=3,v=(f=[[10,2.84],[6.61,3.59],[3.21,4.35],[0,5.68],[.33,4.73],[.67,3.78],[1,2.84],[.67,1.89],[.33,.95],[0,0],[3.21,1.33],[6.61,2.09],[10,2.84]]).length,b=0;b<v;b++)f[b][0]*=-u,f[b][1]*=u,f[b][0]+=10*u,f[b][1]-=2.84*u;else if(7===w)for(u=d,M=3,v=(f=[[0,10.39],[2.01,6.92],[5.96,5.2],[10,5.2],[5.96,5.2],[2.01,3.47],[0,0]]).length,b=0;b<v;b++)f[b][0]*=-u,f[b][1]*=u,f[b][0]+=10*u,f[b][1]-=5.2*u;else f=[[u,.5*-u],[0,0],[u,.5*u]];if(A)if(u=d*n.sizeLast,m=w=n.typeLast,2===w)p=[[-u,.5*-u],[0,0],[-u,.5*u],[.5*-u,0]];else if(3===w)p=[[-u/3,.5*-u],[0,.5*-u],[0,.5*u],[-u/3,.5*u]];else if(4===w)for(u/=10,T=3,v=(p=[[10,3.31],[6.47,3.84],[2.87,4.5],[0,6.63],[.67,5.52],[1.33,4.42],[2,3.31],[1.33,2.21],[.67,1.1],[0,0],[2.87,2.13],[6.47,2.79],[10,3.31]]).length,b=0;b<v;b++)p[b][0]*=u,p[b][1]*=u,p[b][0]-=10*u,p[b][1]-=3.31*u;else if(5===w)for(u/=10,T=3,v=(p=[[10,3.28],[6.61,4.19],[3.19,5.07],[0,6.55],[.62,5.56],[1,4.44],[1,3.28],[1,2.11],[.62,.99],[0,0],[3.19,1.49],[6.61,2.37],[10,3.28]]).length,b=0;b<v;b++)p[b][0]*=u,p[b][1]*=u,p[b][0]-=10*u,p[b][1]-=3.28*u;else if(6===w)for(u/=10,T=3,v=(p=[[10,2.84],[6.61,3.59],[3.21,4.35],[0,5.68],[.33,4.73],[.67,3.78],[1,2.84],[.67,1.89],[.33,.95],[0,0],[3.21,1.33],[6.61,2.09],[10,2.84]]).length,b=0;b<v;b++)p[b][0]*=u,p[b][1]*=u,p[b][0]-=10*u,p[b][1]-=2.84*u;else if(7===w)for(u=d,T=3,v=(p=[[0,10.39],[2.01,6.92],[5.96,5.2],[10,5.2],[5.96,5.2],[2.01,3.47],[0,0]]).length,b=0;b<v;b++)p[b][0]*=u,p[b][1]*=u,p[b][0]-=10*u,p[b][1]-=5.2*u;else p=[[-u,.5*-u],[0,0],[-u,.5*u]];S.save(),this._setColor(t,"stroke","fill")&&(this._setColor(t,"stroke"),N&&(g=7!==_,this._drawPolygon(this._translateShape(this._rotateShape(f,O),a,h),M,g)),A&&(g=7!==m,this._drawPolygon(this._translateShape(this._rotateShape(p,x),l,c),T,g))),S.restore()}},drawLine:function(t){var e,r,o,n,a,h=new c.Z(i.Z.COORDS_BY_USER,t.point1.coords.usrCoords,t.board),l=new c.Z(i.Z.COORDS_BY_USER,t.point2.coords.usrCoords,t.board),d=null;t.visPropCalc.visible&&(o=this._getHighlighted(t),n=s.Z.evaluate(t.visProp[o+"strokewidth"]),((a=this.getArrowHeadData(t,n,o)).evFirst||a.evLast)&&(d=-4),u.Z.calcStraight(t,h,l,d),this.handleTouchpoints(t,h,l,a),e=new c.Z(i.Z.COORDS_BY_USER,h.usrCoords,t.board),r=new c.Z(i.Z.COORDS_BY_USER,l.usrCoords,t.board),this.getPositionArrowHead(t,h,l,a),this.context.beginPath(),this.context.moveTo(h.scrCoords[1],h.scrCoords[2]),this.context.lineTo(l.scrCoords[1],l.scrCoords[2]),this._stroke(t),(a.evFirst||a.evLast)&&this.drawArrows(t,e,r,o,a))},updateLine:function(t){this.drawLine(t)},drawTicks:function(){},updateTicks:function(t){var e,i,s,r,o,n,a=t.ticks.length,h=this.context;for(h.beginPath(),e=0;e<a;e++)for(s=(i=t.ticks[e])[0],r=i[1],o=s.length,h.moveTo(s[0],r[0]),n=1;n<o;++n)h.lineTo(s[n],r[n]);h.lineCap="round",this._stroke(t)},drawCurve:function(t){var e,i,r;s.Z.evaluate(t.visProp.handdrawing)?this.updatePathStringBezierPrim(t):this.updatePathStringPrim(t),t.numberPoints>1&&(e=this._getHighlighted(t),i=s.Z.evaluate(t.visProp[e+"strokewidth"]),((r=this.getArrowHeadData(t,i,e)).evFirst||r.evLast)&&this.drawArrows(t,null,null,e,r))},updateCurve:function(t){this.drawCurve(t)},drawEllipse:function(t){var 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s.Z.isObject(s.Z.evaluate(this.visProp.precision))?(o=this.board._inputDevice,r=s.Z.evaluate(this.visProp.precision[o])):r=this.board.options.precision.hasPoint,i=parseFloat(s.Z.evaluate(this.visProp.size)),"user"===a&&(i*=Math.sqrt(Math.abs(this.board.unitX*this.board.unitY))),(i+=.5*parseFloat(s.Z.evaluate(this.visProp.strokewidth)))<r&&(i=r),Math.abs(n[1]-t)<i+2&&Math.abs(n[2]-e)<i+2},update:function(t){return this.needsUpdate?(this.updateCoords(t),s.Z.evaluate(this.visProp.trace)&&this.cloneToBackground(!0),this):this},updateTransform:function(t){var e,s;if(0===this.transformations.length||null===this.baseElement)return this;for(this===this.baseElement?(e=this.transformations[0].apply(this.baseElement,"self"),this.coords.setCoordinates(i.Z.COORDS_BY_USER,e)):e=this.transformations[0].apply(this.baseElement),this.coords.setCoordinates(i.Z.COORDS_BY_USER,e),s=1;s<this.transformations.length;s++)this.coords.setCoordinates(i.Z.COORDS_BY_USER,this.transformations[s].apply(this));return this},updateRenderer:function(){return this.updateRendererGeneric("updatePoint"),this},bounds:function(){return this.coords.usrCoords.slice(1).concat(this.coords.usrCoords.slice(1))},makeIntersection:function(t,e,s,r){var o;t=this.board.select(t),e=this.board.select(e),o=u.Z.intersectionFunction(this.board,t,e,s,r,this.visProp.alwaysintersect),this.addConstraint([o]);try{t.addChild(this),e.addChild(this)}catch(i){throw new Error("JSXGraph: Can't create 'intersection' with parent types '"+typeof t+"' and '"+typeof e+"'.")}this.type=i.Z.OBJECT_TYPE_INTERSECTION,this.elType="intersection",this.parents=[t.id,e.id,s,r],this.generatePolynomial=function(){var i=t.generatePolynomial(this),s=e.generatePolynomial(this);return 0===i.length||0===s.length?[]:[i[0],s[0]]},this.prepareUpdate().update()},setStyle:function(t){return this.visProp.face=["cross","cross","cross","circle","circle","circle","circle","square","square","square","plus","plus","plus"][t],this.visProp.size=[2,3,4,1,2,3,4,2,3,4,2,3,4][t],this.board.renderer.changePointStyle(this),this},normalizeFace:function(e){return t.Z.deprecated("Point.normalizeFace()","JXG.normalizePointFace()"),T.Z.normalizePointFace(e)},face:function(e){t.Z.deprecated("Point.face()","Point.setAttribute()"),this.setAttribute({face:e})},size:function(e){t.Z.deprecated("Point.size()","Point.setAttribute()"),this.setAttribute({size:e})},isOn:function(e,r){var n,a;return r=r||o.Z.eps,s.Z.isPoint(e)?this.Dist(e)<r:e.elementClass===i.Z.OBJECT_CLASS_LINE?("segment"!==e.elType||s.Z.evaluate(this.visProp.alwaysintersect)||(n=t.Z.Math.Geometry.projectCoordsToSegment(this.coords.usrCoords,e.point1.coords.usrCoords,e.point2.coords.usrCoords))[1]>=0&&n[1]<=1)&&u.Z.distPointLine(this.coords.usrCoords,e.stdform)<r:e.elementClass===i.Z.OBJECT_CLASS_CIRCLE?s.Z.evaluate(e.visProp.hasinnerpoints)?this.Dist(e.center)<e.Radius()+r:Math.abs(this.Dist(e.center)-e.Radius())<r:e.elementClass===i.Z.OBJECT_CLASS_CURVE?(a=u.Z.projectPointToCurve(this,e,this.board)[0],u.Z.distance(this.coords.usrCoords,a.usrCoords,3)<r):e.type===i.Z.OBJECT_TYPE_POLYGON?!(!s.Z.evaluate(e.visProp.hasinnerpoints)||!e.pnpoly(this.coords.usrCoords[1],this.coords.usrCoords[2],t.Z.COORDS_BY_USER))||(n=u.Z.projectCoordsToPolygon(this.coords.usrCoords,e),u.Z.distance(this.coords.usrCoords,n,3)<r):e.type===i.Z.OBJECT_TYPE_TURTLE&&(a=u.Z.projectPointToTurtle(this,e,this.board),u.Z.distance(this.coords.usrCoords,a.usrCoords,3)<r)},cloneToBackground:function(){var t={};return t.id=this.id+"T"+this.numTraces,this.numTraces+=1,t.coords=this.coords,t.visProp=s.Z.deepCopy(this.visProp,this.visProp.traceattributes,!0),t.visProp.layer=this.board.options.layer.trace,t.elementClass=i.Z.OBJECT_CLASS_POINT,t.board=this.board,s.Z.clearVisPropOld(t),t.visPropCalc={visible:s.Z.evaluate(t.visProp.visible)},this.board.renderer.drawPoint(t),this.traces[t.id]=t.rendNode,this}}),t.Z.createPoint=function(e,i,r){var o,n;if(n=s.Z.copyAttributes(r,e.options,"point"),!(o=G.Z.create(t.Z.Point,e,i,n)))throw new Error("JSXGraph: Can't create point with parent types '"+typeof i[0]+"' and '"+typeof i[1]+"'.\nPossible parent types: [x,y], [z,x,y], [element,transformation]");return o},t.Z.createGlider=function(t,e,i){var r,o,n=s.Z.copyAttributes(i,t.options,"glider");return o=1===e.length?[0,0]:e.slice(0,2),(r=t.create("point",o,n)).makeGlider(e[e.length-1]),r},t.Z.createIntersectionPoint=function(t,e,r){var o,n,a,h,l,c,d=s.Z.copyAttributes(r,t.options,"intersection");e.push(0,0),n=t.select(e[0]),a=t.select(e[1]),l=e[2]||0,c=e[3]||0,o=t.create("point",[0,0,0],d),h=u.Z.intersectionFunction(t,n,a,l,c,o.visProp.alwaysintersect),o.addConstraint([h]);try{n.addChild(o),a.addChild(o)}catch(t){throw new Error("JSXGraph: Can't create 'intersection' with parent types '"+typeof e[0]+"' and '"+typeof e[1]+"'.")}return o.type=i.Z.OBJECT_TYPE_INTERSECTION,o.elType="intersection",o.setParents([n.id,a.id]),o.intersectionNumbers=[l,c],o.getParents=function(){return this.parents.concat(this.intersectionNumbers)},o.generatePolynomial=function(){var t=n.generatePolynomial(o),e=a.generatePolynomial(o);return 0===t.length||0===e.length?[]:[t[0],e[0]]},o},t.Z.createOtherIntersectionPoint=function(t,e,r){var n,a,h,l;if(3!==e.length||!s.Z.isPoint(e[2])||e[0].elementClass!==i.Z.OBJECT_CLASS_LINE&&e[0].elementClass!==i.Z.OBJECT_CLASS_CIRCLE||e[1].elementClass!==i.Z.OBJECT_CLASS_LINE&&e[1].elementClass!==i.Z.OBJECT_CLASS_CIRCLE)throw new Error("JSXGraph: Can't create 'other intersection point' with parent types '"+typeof e[0]+"',  '"+typeof e[1]+"'and  '"+typeof e[2]+"'.\nPossible parent types: [circle|line,circle|line,point]");return a=t.select(e[0]),h=t.select(e[1]),l=t.select(e[2]),(n=t.create("point",[function(){var t=u.Z.meet(a.stdform,h.stdform,0,a.board);return Math.abs(l.X()-t.usrCoords[1])>o.Z.eps||Math.abs(l.Y()-t.usrCoords[2])>o.Z.eps||Math.abs(l.Z()-t.usrCoords[0])>o.Z.eps?t:u.Z.meet(a.stdform,h.stdform,1,a.board)}],r)).type=i.Z.OBJECT_TYPE_INTERSECTION,n.elType="otherintersection",n.setParents([a.id,h.id,l]),a.addChild(n),h.addChild(n),n.generatePolynomial=function(){var t=a.generatePolynomial(n),e=h.generatePolynomial(n);return 0===t.length||0===e.length?[]:[t[0],e[0]]},n},t.Z.createPolePoint=function(e,s,r){var o,n,a,h,l,c,d;if(s.length>1&&(h=s[0].type===i.Z.OBJECT_TYPE_CONIC||s[0].elementClass===i.Z.OBJECT_CLASS_CIRCLE,l=s[1].type===i.Z.OBJECT_TYPE_CONIC||s[1].elementClass===i.Z.OBJECT_CLASS_CIRCLE,c=s[0].elementClass===i.Z.OBJECT_CLASS_LINE,d=s[1].elementClass===i.Z.OBJECT_CLASS_LINE),2!==s.length||!(h&&d||c&&l))throw new Error("JSXGraph: Can't create 'pole point' with parent types '"+typeof s[0]+"' and '"+typeof s[1]+"'.\nPossible parent type: [conic|circle,line], [line,conic|circle]");return d?(n=e.select(s[0]),a=e.select(s[1])):(n=e.select(s[1]),a=e.select(s[0])),(o=e.create("point",[function(){var e=n.quadraticform,i=a.stdform.slice(0,3);return[t.Z.Math.Numerics.det([i,e[1],e[2]]),t.Z.Math.Numerics.det([e[0],i,e[2]]),t.Z.Math.Numerics.det([e[0],e[1],i])]}],r)).elType="polepoint",o.setParents([n.id,a.id]),n.addChild(o),a.addChild(o),o},t.Z.registerElement("point",t.Z.createPoint),t.Z.registerElement("glider",t.Z.createGlider),t.Z.registerElement("intersection",t.Z.createIntersectionPoint),t.Z.registerElement("otherintersection",t.Z.createOtherIntersectionPoint),t.Z.registerElement("polepoint",t.Z.createPolePoint);var z=t.Z.Point;t.Z.Line=function(e,s,r,o){this.constructor(e,o,i.Z.OBJECT_TYPE_LINE,i.Z.OBJECT_CLASS_LINE),this.point1=this.board.select(s),this.point2=this.board.select(r),this.ticks=[],this.defaultTicks=null,this.parentPolygon=null,this.id=this.board.setId(this,"L"),this.board.renderer.drawLine(this),this.board.finalizeAdding(this),this.elType="line",this.point1._is_new?(this.addChild(this.point1),delete this.point1._is_new):this.point1.addChild(this),this.point2._is_new?(this.addChild(this.point2),delete this.point2._is_new):this.point2.addChild(this),this.inherits.push(this.point1,this.point2),this.updateStdform(),this.createLabel(),this.methodMap=t.Z.deepCopy(this.methodMap,{point1:"point1",point2:"point2",getSlope:"getSlope",getRise:"getRise",getYIntersect:"getRise",getAngle:"getAngle",Slope:"Slope",L:"L",length:"L"})},t.Z.Line.prototype=new J.Z,t.Z.extend(t.Z.Line.prototype,{hasPoint:function(t,e){var r,n,a,h,l,d,p,f,_,m=[],g=[1,t,e],b=s.Z.evaluate(this.visProp.strokewidth);return s.Z.isObject(s.Z.evaluate(this.visProp.precision))?(_=this.board._inputDevice,f=s.Z.evaluate(this.visProp.precision[_])):f=this.board.options.precision.hasPoint,f+=.5*b,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,r=u.Z.distPointLine(g,m),!(isNaN(r)||r>f)&&(!(!s.Z.evaluate(this.visProp.straightfirst)||!s.Z.evaluate(this.visProp.straightlast))||(a=this.point1.coords,h=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 c.Z(i.Z.COORDS_BY_SCREEN,n.slice(1),this.board).usrCoords,l=a.distance(i.Z.COORDS_BY_USER,h),a=a.usrCoords.slice(0),h=h.usrCoords.slice(0),l<o.Z.eps?d=0:(l===Number.POSITIVE_INFINITY&&(l=1/o.Z.eps,Math.abs(h[0])<o.Z.eps?(l/=u.Z.distance([0,0,0],h),h=[1,a[1]+h[1]*l,a[2]+h[2]*l]):(l/=u.Z.distance([0,0,0],a),a=[1,h[1]+a[1]*l,h[2]+a[2]*l])),l=h[p=1]-a[p],Math.abs(l)<o.Z.eps&&(l=h[p=2]-a[p]),d=(n[p]-a[p])/l),!(!s.Z.evaluate(this.visProp.straightfirst)&&d<0)&&!(!s.Z.evaluate(this.visProp.straightlast)&&d>1)))},update:function(){var t;return this.needsUpdate?(this.constrained&&(s.Z.isFunction(this.funps)?(t=this.funps())&&t.length&&2===t.length&&(this.point1=t[0],this.point2=t[1]):(s.Z.isFunction(this.funp1)&&(t=this.funp1(),s.Z.isPoint(t)?this.point1=t:t&&t.length&&2===t.length&&this.point1.setPositionDirectly(i.Z.COORDS_BY_USER,t)),s.Z.isFunction(this.funp2)&&(t=this.funp2(),s.Z.isPoint(t)?this.point2=t:t&&t.length&&2===t.length&&this.point2.setPositionDirectly(i.Z.COORDS_BY_USER,t)))),this.updateSegmentFixedLength(),this.updateStdform(),s.Z.evaluate(this.visProp.trace)&&this.cloneToBackground(!0),this):this},updateSegmentFixedLength:function(){var t,e,r,n,a,h,l,c;return this.hasFixedLength?(t=this.point1.Dist(this.point2),e=this.fixedLength(),r=this.fixedLengthOldCoords[0].distance(i.Z.COORDS_BY_USER,this.point1.coords),n=this.fixedLengthOldCoords[1].distance(i.Z.COORDS_BY_USER,this.point2.coords),(r>o.Z.eps||n>o.Z.eps||t!==e)&&(a=this.point1.isDraggable&&this.point1.type!==i.Z.OBJECT_TYPE_GLIDER&&!s.Z.evaluate(this.point1.visProp.fixed),h=this.point2.isDraggable&&this.point2.type!==i.Z.OBJECT_TYPE_GLIDER&&!s.Z.evaluate(this.point2.visProp.fixed),t>o.Z.eps?r>n&&h||r<=n&&h&&!a?(this.point2.setPositionDirectly(i.Z.COORDS_BY_USER,[this.point1.X()+(this.point2.X()-this.point1.X())*e/t,this.point1.Y()+(this.point2.Y()-this.point1.Y())*e/t]),this.point2.fullUpdate()):(r<=n&&a||r>n&&a&&!h)&&(this.point1.setPositionDirectly(i.Z.COORDS_BY_USER,[this.point2.X()+(this.point1.X()-this.point2.X())*e/t,this.point2.Y()+(this.point1.Y()-this.point2.Y())*e/t]),this.point1.fullUpdate()):(l=Math.random()-.5,c=Math.random()-.5,t=Math.sqrt(l*l+c*c),h?(this.point2.setPositionDirectly(i.Z.COORDS_BY_USER,[this.point1.X()+l*e/t,this.point1.Y()+c*e/t]),this.point2.fullUpdate()):a&&(this.point1.setPositionDirectly(i.Z.COORDS_BY_USER,[this.point2.X()+l*e/t,this.point2.Y()+c*e/t]),this.point1.fullUpdate())),this.fixedLengthOldCoords[0].setCoordinates(i.Z.COORDS_BY_USER,this.point1.coords.usrCoords),this.fixedLengthOldCoords[1].setCoordinates(i.Z.COORDS_BY_USER,this.point2.coords.usrCoords)),this):this},updateStdform:function(){var t=o.Z.crossProduct(this.point1.coords.usrCoords,this.point2.coords.usrCoords);this.stdform[0]=t[0],this.stdform[1]=t[1],this.stdform[2]=t[2],this.stdform[3]=0,this.normalize()},updateRenderer:function(){return this.needsUpdate?(this.visPropCalc.visible&&(this.isReal=!isNaN(this.point1.coords.usrCoords[1]+this.point1.coords.usrCoords[2]+this.point2.coords.usrCoords[1]+this.point2.coords.usrCoords[2])&&o.Z.innerProduct(this.stdform,this.stdform,3)>=o.Z.eps*o.Z.eps,this.isReal||this.updateVisibility(!1)),this.visPropCalc.visible&&this.board.renderer.updateLine(this),this.hasLabel&&this.visPropCalc.visible&&this.label&&this.label.visPropCalc.visible&&this.isReal&&(this.label.update(),this.board.renderer.updateText(this.label)),this.setDisplayRendNode(),this.needsUpdate=!1,this):this},generatePolynomial:function(t){var e=this.point1.symbolic.x,i=this.point1.symbolic.y,s=this.point2.symbolic.x,r=this.point2.symbolic.y,o=t.symbolic.x,n=t.symbolic.y;return[["(",i,")*(",o,")-(",i,")*(",s,")+(",n,")*(",s,")-(",e,")*(",n,")+(",e,")*(",r,")-(",o,")*(",r,")"].join("")]},getRise:function(){return Math.abs(this.stdform[2])>=o.Z.eps?-this.stdform[0]/this.stdform[2]:1/0},Slope:function(){return Math.abs(this.stdform[2])>=o.Z.eps?-this.stdform[1]/this.stdform[2]:1/0},getSlope:function(){return this.Slope()},getAngle:function(){return Math.atan2(-this.stdform[1],this.stdform[2])},setStraight:function(t,e){return this.visProp.straightfirst=t,this.visProp.straightlast=e,this.board.renderer.updateLine(this),this},getTextAnchor:function(){return new c.Z(i.Z.COORDS_BY_USER,[.5*(this.point2.X()+this.point1.X()),.5*(this.point2.Y()+this.point1.Y())],this.board)},setLabelRelativeCoords:function(t){s.Z.exists(this.label)&&(this.label.relativeCoords=new c.Z(i.Z.COORDS_BY_SCREEN,[t[0],-t[1]],this.board))},getLabelAnchor:function(){var t,e,r=0,n=new c.Z(i.Z.COORDS_BY_USER,this.point1.coords.usrCoords,this.board),a=new c.Z(i.Z.COORDS_BY_USER,this.point2.coords.usrCoords,this.board),h=s.Z.evaluate(this.visProp.straightfirst),l=s.Z.evaluate(this.visProp.straightlast);if((h||l)&&u.Z.calcStraight(this,n,a,0),n=n.scrCoords,a=a.scrCoords,!s.Z.exists(this.label))return new c.Z(i.Z.COORDS_BY_SCREEN,[NaN,NaN],this.board);switch(s.Z.evaluate(this.label.visProp.position)){case"last":t=a[1],e=a[2];break;case"first":t=n[1],e=n[2];break;case"lft":case"llft":case"ulft":n[1]<=a[1]?(t=n[1],e=n[2]):(t=a[1],e=a[2]);break;case"rt":case"lrt":case"urt":n[1]>a[1]?(t=n[1],e=n[2]):(t=a[1],e=a[2]);break;default:t=.5*(n[1]+a[1]),e=.5*(n[2]+a[2])}return(h||l)&&(s.Z.exists(this.label)&&(r=s.Z.evaluate(this.label.visProp.fontsize)),Math.abs(t)<o.Z.eps?t=r:this.board.canvasWidth+o.Z.eps>t&&t>this.board.canvasWidth-r-o.Z.eps&&(t=this.board.canvasWidth-r),o.Z.eps+r>e&&e>-o.Z.eps?e=r:this.board.canvasHeight+o.Z.eps>e&&e>this.board.canvasHeight-r-o.Z.eps&&(e=this.board.canvasHeight-r)),new c.Z(i.Z.COORDS_BY_SCREEN,[t,e],this.board)},cloneToBackground:function(){var t,e,r,o={};return o.id=this.id+"T"+this.numTraces,o.elementClass=i.Z.OBJECT_CLASS_LINE,this.numTraces++,o.point1=this.point1,o.point2=this.point2,o.stdform=this.stdform,o.board=this.board,o.visProp=s.Z.deepCopy(this.visProp,this.visProp.traceattributes,!0),o.visProp.layer=this.board.options.layer.trace,s.Z.clearVisPropOld(o),o.visPropCalc={visible:s.Z.evaluate(o.visProp.visible)},e=this.getSlope(),t=this.getRise(),o.getSlope=function(){return e},o.getRise=function(){return t},r=this.board.renderer.enhancedRendering,this.board.renderer.enhancedRendering=!0,this.board.renderer.drawLine(o),this.board.renderer.enhancedRendering=r,this.traces[o.id]=o.rendNode,this},addTransform:function(t){var e,i=s.Z.isArray(t)?t:[t],r=i.length;for(e=0;e<r;e++)this.point1.transformations.push(i[e]),this.point2.transformations.push(i[e]);return this},snapToGrid:function(t){var e,r,o,n,a,h,l,p;return s.Z.evaluate(this.visProp.snaptogrid)?this.parents.length<3?(this.point1.handleSnapToGrid(!0,!0),this.point2.handleSnapToGrid(!0,!0)):s.Z.exists(t)&&(l=s.Z.evaluate(this.visProp.snapsizex),p=s.Z.evaluate(this.visProp.snapsizey),a=(e=new c.Z(i.Z.COORDS_BY_SCREEN,[t.Xprev,t.Yprev],this.board)).usrCoords[1],h=e.usrCoords[2],l<=0&&this.board.defaultAxes&&this.board.defaultAxes.x.defaultTicks&&(l=(n=this.board.defaultAxes.x.defaultTicks).ticksDelta*(s.Z.evaluate(n.visProp.minorticks)+1)),p<=0&&this.board.defaultAxes&&this.board.defaultAxes.y.defaultTicks&&(p=(n=this.board.defaultAxes.y.defaultTicks).ticksDelta*(s.Z.evaluate(n.visProp.minorticks)+1)),l>0&&p>0&&(r=u.Z.projectPointToLine({coords:e},this,this.board),o=d.Z.subtract([1,Math.round(a/l)*l,Math.round(h/p)*p],r.usrCoords),this.board.create("transform",o.slice(1),{type:"translate"}).applyOnce([this.point1,this.point2]))):(this.point1.handleSnapToGrid(!1,!0),this.point2.handleSnapToGrid(!1,!0)),this},snapToPoints:function(){var t=s.Z.evaluate(this.visProp.snaptopoints);return this.parents.length<3&&(this.point1.handleSnapToPoints(t),this.point2.handleSnapToPoints(t)),this},X:function(t){var e,i=this.stdform[2];return e=Math.abs(this.point1.coords.usrCoords[0])>o.Z.eps?this.point1.coords.usrCoords[1]:this.point2.coords.usrCoords[1],t=2*(t-.5),(1-Math.abs(t))*e-t*i},Y:function(t){var e,i=this.stdform[1];return e=Math.abs(this.point1.coords.usrCoords[0])>o.Z.eps?this.point1.coords.usrCoords[2]:this.point2.coords.usrCoords[2],t=2*(t-.5),(1-Math.abs(t))*e+t*i},Z:function(t){var e=Math.abs(this.point1.coords.usrCoords[0])>o.Z.eps?this.point1.coords.usrCoords[0]:this.point2.coords.usrCoords[0];return t=2*(t-.5),(1-Math.abs(t))*e},L:function(){return this.point1.Dist(this.point2)},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(),J.Z.prototype.remove.call(this)}}),t.Z.createLine=function(e,i,r){var o,n,a,h,l,c,d,u=[],p=!1,f=!1;if(2===i.length){if(c=s.Z.copyAttributes(r,e.options,"line","point1"),s.Z.isArray(i[0])&&i[0].length>1)a=e.create("point",i[0],c);else if(s.Z.isString(i[0])||s.Z.isPoint(i[0]))a=e.select(i[0]);else if(s.Z.isFunction(i[0])&&s.Z.isPoint(i[0]()))a=i[0](),f=!0;else if(s.Z.isFunction(i[0])&&i[0]().length&&i[0]().length>=2)a=t.Z.createPoint(e,i[0](),c),f=!0;else{if(!s.Z.isObject(i[0])||!s.Z.isTransformationOrArray(i[1]))throw new Error("JSXGraph: Can't create line with parent types '"+typeof i[0]+"' and '"+typeof i[1]+"'.\nPossible parent types: [point,point], [[x1,y1],[x2,y2]], [a,b,c]");p=!0,a=e.create("point",[i[0].point1,i[1]],c)}if(c=s.Z.copyAttributes(r,e.options,"line","point2"),p)h=e.create("point",[i[0].point2,i[1]],c);else if(s.Z.isArray(i[1])&&i[1].length>1)h=e.create("point",i[1],c);else if(s.Z.isString(i[1])||s.Z.isPoint(i[1]))h=e.select(i[1]);else if(s.Z.isFunction(i[1])&&s.Z.isPoint(i[1]()))h=i[1](),f=!0;else{if(!(s.Z.isFunction(i[1])&&i[1]().length&&i[1]().length>=2))throw new Error("JSXGraph: Can't create line with parent types '"+typeof i[0]+"' and '"+typeof i[1]+"'.\nPossible parent types: [point,point], [[x1,y1],[x2,y2]], [a,b,c]");h=t.Z.createPoint(e,i[1](),c),f=!0}c=s.Z.copyAttributes(r,e.options,"line"),n=new t.Z.Line(e,a,h,c),f?(n.constrained=!0,n.funp1=i[0],n.funp2=i[1]):p||(n.isDraggable=!0),n.setParents([a.id,h.id])}else if(3===i.length){for(d=!0,l=0;l<3;l++)if(s.Z.isNumber(i[l]))u[l]=s.Z.createFunction(i[l]);else{if(!s.Z.isFunction(i[l]))throw new Error("JSXGraph: Can't create line with parent types '"+typeof i[0]+"' and '"+typeof i[1]+"' and '"+typeof i[2]+"'.\nPossible parent types: [point,point], [[x1,y1],[x2,y2]], [a,b,c]");u[l]=i[l],d=!1}c=s.Z.copyAttributes(r,e.options,"line","point1"),a=d?e.create("point",[u[2]()*u[2]()+u[1]()*u[1](),u[2]()-u[1]()*u[0]()+u[2](),-u[1]()-u[2]()*u[0]()-u[1]()],c):e.create("point",[function(){return.5*(u[2]()*u[2]()+u[1]()*u[1]())},function(){return.5*(u[2]()-u[1]()*u[0]()+u[2]())},function(){return.5*(-u[1]()-u[2]()*u[0]()-u[1]())}],c),c=s.Z.copyAttributes(r,e.options,"line","point2"),h=d?e.create("point",[u[2]()*u[2]()+u[1]()*u[1](),-u[1]()*u[0]()+u[2](),-u[2]()*u[0]()-u[1]()],c):e.create("point",[function(){return u[2]()*u[2]()+u[1]()*u[1]()},function(){return-u[1]()*u[0]()+u[2]()},function(){return-u[2]()*u[0]()-u[1]()}],c),a.prepareUpdate().update(),h.prepareUpdate().update(),c=s.Z.copyAttributes(r,e.options,"line"),(n=new t.Z.Line(e,a,h,c)).isDraggable=d,n.setParents([a,h])}else if(1===i.length&&s.Z.isFunction(i[0])&&2===i[0]().length&&s.Z.isPoint(i[0]()[0])&&s.Z.isPoint(i[0]()[1]))o=i[0](),c=s.Z.copyAttributes(r,e.options,"line"),(n=new t.Z.Line(e,o[0],o[1],c)).constrained=!0,n.funps=i[0],n.setParents(o);else{if(!(1===i.length&&s.Z.isFunction(i[0])&&3===i[0]().length&&s.Z.isNumber(i[0]()[0])&&s.Z.isNumber(i[0]()[1])&&s.Z.isNumber(i[0]()[2])))throw new Error("JSXGraph: Can't create line with parent types '"+typeof i[0]+"' and '"+typeof i[1]+"'.\nPossible parent types: [point,point], [[x1,y1],[x2,y2]], [a,b,c]");o=i[0],c=s.Z.copyAttributes(r,e.options,"line","point1"),a=e.create("point",[function(){var t=o();return[.5*(t[2]*t[2]+t[1]*t[1]),.5*(t[2]-t[1]*t[0]+t[2]),.5*(-t[1]-t[2]*t[0]-t[1])]}],c),c=s.Z.copyAttributes(r,e.options,"line","point2"),h=e.create("point",[function(){var t=o();return[t[2]*t[2]+t[1]*t[1],-t[1]*t[0]+t[2],-t[2]*t[0]-t[1]]}],c),c=s.Z.copyAttributes(r,e.options,"line"),(n=new t.Z.Line(e,a,h,c)).constrained=!0,n.funps=i[0],n.setParents([a,h])}return n},t.Z.registerElement("line",t.Z.createLine),t.Z.createSegment=function(t,e,r){var o,n;if(r.straightFirst=!1,r.straightLast=!1,n=s.Z.copyAttributes(r,t.options,"segment"),o=t.create("line",e.slice(0,2),n),3===e.length){if(o.hasFixedLength=!0,s.Z.isNumber(e[2]))o.fixedLength=function(){return e[2]};else{if(!s.Z.isFunction(e[2]))throw new Error("JSXGraph: Can't create segment with third parent type '"+typeof e[2]+"'.\nPossible third parent types: number or function");o.fixedLength=e[2]}o.getParents=function(){return this.parents.concat(this.fixedLength())},o.fixedLengthOldCoords=[],o.fixedLengthOldCoords[0]=new c.Z(i.Z.COORDS_BY_USER,o.point1.coords.usrCoords.slice(1,3),t),o.fixedLengthOldCoords[1]=new c.Z(i.Z.COORDS_BY_USER,o.point2.coords.usrCoords.slice(1,3),t)}return o.elType="segment",o},t.Z.registerElement("segment",t.Z.createSegment),t.Z.createArrow=function(t,e,r){var o,n;return r.straightFirst=!1,r.straightLast=!1,n=s.Z.copyAttributes(r,t.options,"arrow"),(o=t.create("line",e,n)).type=i.Z.OBJECT_TYPE_VECTOR,o.elType="arrow",o},t.Z.registerElement("arrow",t.Z.createArrow),t.Z.createAxis=function(t,e,r){var o,n,a,h,l;if(!s.Z.isArray(e[0])&&!s.Z.isPoint(e[0])||!s.Z.isArray(e[1])&&!s.Z.isPoint(e[1]))throw new Error("JSXGraph: Can't create axis with parent types '"+typeof e[0]+"' and '"+typeof e[1]+"'.\nPossible parent types: [point,point], [[x1,y1],[x2,y2]]");for(h in o=s.Z.copyAttributes(r,t.options,"axis"),(a=t.create("line",e,o)).type=i.Z.OBJECT_TYPE_AXIS,a.isDraggable=!1,a.point1.isDraggable=!1,a.point2.isDraggable=!1,a.ancestors)a.ancestors.hasOwnProperty(h)&&(a.ancestors[h].type=i.Z.OBJECT_TYPE_AXISPOINT);return n=s.Z.copyAttributes(r,t.options,"axis","ticks"),l=s.Z.exists(n.ticksdistance)?n.ticksdistance:s.Z.isArray(n.ticks)?n.ticks:1,a.defaultTicks=t.create("ticks",[a,l],n),a.defaultTicks.dump=!1,a.elType="axis",a.subs={ticks:a.defaultTicks},a.inherits.push(a.defaultTicks),a},t.Z.registerElement("axis",t.Z.createAxis),t.Z.createTangent=function(t,e,r){var n,a,h,c,d,u;if(1===e.length)n=e[0],a=n.slideObject;else{if(2!==e.length)throw new Error("JSXGraph: Can't create tangent with parent types '"+typeof e[0]+"' and '"+typeof e[1]+"'.\nPossible parent types: [glider], [point,line|curve|circle|conic]");if(s.Z.isPoint(e[0]))n=e[0],a=e[1];else{if(!s.Z.isPoint(e[1]))throw new Error("JSXGraph: Can't create tangent with parent types '"+typeof e[0]+"' and '"+typeof e[1]+"'.\nPossible parent types: [glider], [point,line|curve|circle|conic]");a=e[0],n=e[1]}}if(u=s.Z.copyAttributes(r,t.options,"tangent"),a.elementClass===i.Z.OBJECT_CLASS_LINE?(d=t.create("line",[a.point1,a.point2],u)).glider=n:a.elementClass===i.Z.OBJECT_CLASS_CURVE&&a.type!==i.Z.OBJECT_TYPE_CONIC?"plot"!==s.Z.evaluate(a.visProp.curvetype)?(d=t.create("line",[function(){var t=a.X,e=a.Y;return-n.X()*l.Z.D(e)(n.position)+n.Y()*l.Z.D(t)(n.position)},function(){return l.Z.D(a.Y)(n.position)},function(){return-l.Z.D(a.X)(n.position)}],u),n.addChild(d),d.glider=n):(d=t.create("line",[function(){var t,e,i,s,r,o,h,l,c,d,u=Math.floor(n.position);if(1===a.bezierDegree)u===a.numberPoints-1&&u--;else{if(3!==a.bezierDegree)return 0;u=3*Math.floor(n.position*(a.numberPoints-1)/3),i=(n.position*(a.numberPoints-1)-u)/3,u>=a.numberPoints-1&&(u=a.numberPoints-4,i=1)}return u<0?1:(1===a.bezierDegree?(t=a.points[u].usrCoords,e=a.points[u+1].usrCoords):(s=a.points[u].usrCoords,r=a.points[u+1].usrCoords,o=a.points[u+2].usrCoords,h=a.points[u+3].usrCoords,l=(1-i)*(1-i)*(r[1]-s[1])+2*(1-i)*i*(o[1]-r[1])+i*i*(h[1]-o[1]),c=(1-i)*(1-i)*(r[2]-s[2])+2*(1-i)*i*(o[2]-r[2])+i*i*(h[2]-o[2]),l/=d=Math.sqrt(l*l+c*c),c/=d,e=[1,(t=n.coords.usrCoords)[1]+l,t[2]+c]),t[2]*e[1]-t[1]*e[2])},function(){var t,e,i,s,r,o,h,l,c,d,u=Math.floor(n.position);if(1===a.bezierDegree)u===a.numberPoints-1&&u--;else{if(3!==a.bezierDegree)return 0;u=3*Math.floor(n.position*(a.numberPoints-1)/3),i=(n.position*(a.numberPoints-1)-u)/3,u>=a.numberPoints-1&&(u=a.numberPoints-4,i=1)}return u<0?0:(1===a.bezierDegree?(t=a.points[u].usrCoords,e=a.points[u+1].usrCoords):(s=a.points[u].usrCoords,r=a.points[u+1].usrCoords,o=a.points[u+2].usrCoords,h=a.points[u+3].usrCoords,l=(1-i)*(1-i)*(r[1]-s[1])+2*(1-i)*i*(o[1]-r[1])+i*i*(h[1]-o[1]),c=(1-i)*(1-i)*(r[2]-s[2])+2*(1-i)*i*(o[2]-r[2])+i*i*(h[2]-o[2]),l/=d=Math.sqrt(l*l+c*c),c/=d,e=[1,(t=n.coords.usrCoords)[1]+l,t[2]+c]),e[2]-t[2])},function(){var t,e,i,s,r,o,h,l,c,d,u=Math.floor(n.position);if(1===a.bezierDegree)u===a.numberPoints-1&&u--;else{if(3!==a.bezierDegree)return 0;u=3*Math.floor(n.position*(a.numberPoints-1)/3),i=(n.position*(a.numberPoints-1)-u)/3,u>=a.numberPoints-1&&(u=a.numberPoints-4,i=1)}return u<0?0:(1===a.bezierDegree?(t=a.points[u].usrCoords,e=a.points[u+1].usrCoords):(s=a.points[u].usrCoords,r=a.points[u+1].usrCoords,o=a.points[u+2].usrCoords,h=a.points[u+3].usrCoords,l=(1-i)*(1-i)*(r[1]-s[1])+2*(1-i)*i*(o[1]-r[1])+i*i*(h[1]-o[1]),c=(1-i)*(1-i)*(r[2]-s[2])+2*(1-i)*i*(o[2]-r[2])+i*i*(h[2]-o[2]),l/=d=Math.sqrt(l*l+c*c),c/=d,e=[1,(t=n.coords.usrCoords)[1]+l,t[2]+c]),t[1]-e[1])}],u),n.addChild(d),d.glider=n):a.type===i.Z.OBJECT_TYPE_TURTLE?(d=t.create("line",[function(){var t=Math.floor(n.position);for(h=0;h<a.objects.length;h++)if((c=a.objects[h]).type===i.Z.OBJECT_TYPE_CURVE){if(t<c.numberPoints)break;t-=c.numberPoints}return t===c.numberPoints-1&&t--,t<0?1:c.Y(t)*c.X(t+1)-c.X(t)*c.Y(t+1)},function(){var t=Math.floor(n.position);for(h=0;h<a.objects.length;h++)if((c=a.objects[h]).type===i.Z.OBJECT_TYPE_CURVE){if(t<c.numberPoints)break;t-=c.numberPoints}return t===c.numberPoints-1&&t--,t<0?0:c.Y(t+1)-c.Y(t)},function(){var t=Math.floor(n.position);for(h=0;h<a.objects.length;h++)if((c=a.objects[h]).type===i.Z.OBJECT_TYPE_CURVE){if(t<c.numberPoints)break;t-=c.numberPoints}return t===c.numberPoints-1&&t--,t<0?0:c.X(t)-c.X(t+1)}],u),n.addChild(d),d.glider=n):a.elementClass!==i.Z.OBJECT_CLASS_CIRCLE&&a.type!==i.Z.OBJECT_TYPE_CONIC||(d=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(d),d.glider=n),!s.Z.exists(d))throw new Error("JSXGraph: Couldn't create tangent with the given parents.");return d.elType="tangent",d.type=i.Z.OBJECT_TYPE_TANGENT,d.setParents(e),d},t.Z.createRadicalAxis=function(t,e,s){var r,n,a;if(2!==e.length||e[0].elementClass!==i.Z.OBJECT_CLASS_CIRCLE||e[1].elementClass!==i.Z.OBJECT_CLASS_CIRCLE)throw new Error("JSXGraph: Can't create 'radical axis' with parent types '"+typeof e[0]+"' and '"+typeof e[1]+"'.\nPossible parent type: [circle,circle]");return n=t.select(e[0]),a=t.select(e[1]),(r=t.create("line",[function(){var t=n.stdform,e=a.stdform;return o.Z.matVecMult(o.Z.transpose([t.slice(0,3),e.slice(0,3)]),[e[3],-t[3]])}],s)).elType="radicalaxis",r.setParents([n.id,a.id]),n.addChild(r),a.addChild(r),r},t.Z.createPolarLine=function(t,e,r){var o,n,a,h,l,c,d;if(e.length>1&&(h=e[0].type===i.Z.OBJECT_TYPE_CONIC||e[0].elementClass===i.Z.OBJECT_CLASS_CIRCLE,l=e[1].type===i.Z.OBJECT_TYPE_CONIC||e[1].elementClass===i.Z.OBJECT_CLASS_CIRCLE,c=s.Z.isPoint(e[0]),d=s.Z.isPoint(e[1])),2!==e.length||!(h&&d||c&&l))throw new Error("JSXGraph: Can't create 'polar line' with parent types '"+typeof e[0]+"' and '"+typeof e[1]+"'.\nPossible parent type: [conic|circle,point], [point,conic|circle]");return d?(n=t.select(e[0]),a=t.select(e[1])):(n=t.select(e[1]),a=t.select(e[0])),(o=t.create("tangent",[n,a],r)).elType="polarline",o},t.Z.registerElement("tangent",t.Z.createTangent),t.Z.registerElement("polar",t.Z.createTangent),t.Z.registerElement("radicalaxis",t.Z.createRadicalAxis),t.Z.registerElement("polarline",t.Z.createPolarLine);t.Z.Line;t.Z.Group=function(t,e,r,o,n){var a,h,l,c;for(this.board=t,this.objects={},a=this.board.numObjects,this.board.numObjects+=1,""!==e&&s.Z.exists(e)?this.id=e:this.id=this.board.id+"Group"+a,this.board.groups[this.id]=this,this.type=i.Z.OBJECT_TYPE_POINT,this.elementClass=i.Z.OBJECT_CLASS_POINT,""!==r&&s.Z.exists(r)?this.name=r:this.name="group_"+this.board.generateName(this),delete this.type,this.coords={},this.needsRegularUpdate=n.needsregularupdate,this.rotationCenter="centroid",this.scaleCenter=null,this.rotationPoints=[],this.translationPoints=[],this.scalePoints=[],this.scaleDirections={},this.parents=[],h=s.Z.isArray(o)?o:Array.prototype.slice.call(arguments,3),l=0;l<h.length;l++)c=this.board.select(h[l]),!s.Z.evaluate(c.visProp.fixed)&&s.Z.exists(c.coords)&&this.addPoint(c);this.methodMap={ungroup:"ungroup",add:"addPoint",addPoint:"addPoint",addPoints:"addPoints",addGroup:"addGroup",remove:"removePoint",removePoint:"removePoint",setAttribute:"setAttribute",setProperty:"setAttribute"}},t.Z.extend(t.Z.Group.prototype,{ungroup:function(){var t,e,i;for(t in this.objects)this.objects.hasOwnProperty(t)&&(e=this.objects[t].point,s.Z.isArray(e.groups)&&(i=s.Z.indexOf(e.groups,this.id))>=0&&delete e.groups[i]);return this.objects={},this},addParents:function(t){var e,i,r;for(i=(r=s.Z.isArray(t)?t:arguments).length,e=0;e<i;++e)s.Z.isId(this.board,r[e])?this.parents.push(r[e]):s.Z.exists(r[e].id)&&this.parents.push(r[e].id);this.parents=s.Z.uniqueArray(this.parents)},setParents:function(t){return this.parents=[],this.addParents(t),this},getParents:function(){return s.Z.isArray(this.parents)?this.parents:[]},_updateCoordsCache:function(t){var e;""!==t&&s.Z.exists(this.objects[t])&&(e=this.objects[t].point,this.coords[e.id]={usrCoords:e.coords.usrCoords.slice(0)})},update:function(){var t,e,i,r,n,a,h,l,c,d,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)c=[p.coords.usrCoords[1]-this.coords[t.id].usrCoords[1],p.coords.usrCoords[2]-this.coords[t.id].usrCoords[2]];else if("rotation"===t.action||"scaling"===t.action){if(i="rotation"===t.action?"rotationCenter":"scaleCenter",s.Z.isPoint(this[i]))d=this[i].coords.usrCoords.slice(1);else if("centroid"===this[i])d=this._update_centroid_center();else if(s.Z.isArray(this[i]))d=this[i];else{if(!s.Z.isFunction(this[i]))return this;d=this[i]()}if("rotation"===t.action)l=u.Z.rad(this.coords[t.id].usrCoords.slice(1),d,this.objects[t.id].point),(c=this.board.create("transform",[l,d[0],d[1]],{type:"rotate"})).update();else{if("scaling"!==t.action)return this;if(n=u.Z.distance(this.coords[t.id].usrCoords.slice(1),d),Math.abs(n)<o.Z.eps)return this;n=u.Z.distance(p.coords.usrCoords.slice(1),d)/n,a=this.scaleDirections[t.id].indexOf("x")>=0?n:1,h=this.scaleDirections[t.id].indexOf("y")>=0?n:1,(c=this.board.create("transform",[1,0,0,d[0]*(1-a),a,0,d[1]*(1-h),0,h],{type:"generic"})).update()}}for(e in this._update_apply_transformation(t,c),this.needsUpdate=!1,this.objects)if(this.objects.hasOwnProperty(e))for(r in this.objects[e].descendants)this.objects[e].descendants.hasOwnProperty(r)&&(this.objects[e].descendants.needsUpdate=this.objects[e].descendants.needsRegularUpdate||this.board.needsFullUpdate);for(e in this.board.updateElements(t),this.objects)this.objects.hasOwnProperty(e)&&this._updateCoordsCache(e);return this},_update_find_drag_type:function(){var t,e,r,n="nothing",a=[];for(t in this.objects)this.objects.hasOwnProperty(t)&&(e=this.objects[t].point).coords.distance(i.Z.COORDS_BY_USER,this.coords[t])>o.Z.eps&&a.push(e.id);return 0===a.length?{action:n,id:"",changed:a}:(r=a[0],e=this.objects[r].point,a.length>1?n="translation":s.Z.isInArray(this.rotationPoints,e)&&s.Z.exists(this.rotationCenter)?n="rotation":s.Z.isInArray(this.scalePoints,e)&&s.Z.exists(this.scaleCenter)?n="scaling":s.Z.isInArray(this.translationPoints,e)&&(n="translation"),{action:n,id:r,changed:a})},_update_centroid_center:function(){var t,e,i;for(i in t=[0,0],e=0,this.coords)this.coords.hasOwnProperty(i)&&(t[0]+=this.coords[i].usrCoords[1],t[1]+=this.coords[i].usrCoords[2],++e);return e>0&&(t[0]/=e,t[1]/=e),t},_update_apply_transformation:function(t,e){var r,n;for(r in this.objects)this.objects.hasOwnProperty(r)&&(s.Z.exists(this.board.objects[r])?(n=this.objects[r].point).id!==t.id?"translation"===t.action?s.Z.isInArray(t.changed,n.id)||n.coords.setCoordinates(i.Z.COORDS_BY_USER,[this.coords[r].usrCoords[1]+e[0],this.coords[r].usrCoords[2]+e[1]]):"rotation"!==t.action&&"scaling"!==t.action||e.applyOnce([n]):"rotation"!==t.action&&"scaling"!==t.action||n.coords.setCoordinates(i.Z.COORDS_BY_USER,o.Z.matVecMult(e.matrix,this.coords[n.id].usrCoords)):delete this.objects[r])},addPoint:function(t){return this.objects[t.id]={point:this.board.select(t)},this._updateCoordsCache(t.id),this.translationPoints.push(t),t.groups.push(this.id),t.groups=s.Z.uniqueArray(t.groups),this},addPoints:function(t){var e;for(e=0;e<t.length;e++)this.addPoint(t[e]);return this},addGroup:function(t){var e;for(e in t.objects)t.objects.hasOwnProperty(e)&&this.addPoint(t.objects[e].point);return this},removePoint:function(t){return delete this.objects[t.id],this},setRotationCenter:function(t){return this.rotationCenter=t,this},setRotationPoints:function(t){return this._setActionPoints("rotation",t)},addRotationPoint:function(t){return this._addActionPoint("rotation",t)},removeRotationPoint:function(t){return this._removeActionPoint("rotation",t)},setTranslationPoints:function(t){return this._setActionPoints("translation",t)},addTranslationPoint:function(t){return this._addActionPoint("translation",t)},removeTranslationPoint:function(t){return this._removeActionPoint("translation",t)},setScaleCenter:function(t){return this.scaleCenter=t,this},setScalePoints:function(t,e){var i,r,o;for(o=(i=s.Z.isArray(t)?t:arguments).length,r=0;r<o;++r)this.scaleDirections[this.board.select(i[r]).id]=e||"xy";return this._setActionPoints("scale",t)},addScalePoint:function(t,e){return this._addActionPoint("scale",t),this.scaleDirections[this.board.select(t).id]=e||"xy",this},removeScalePoint:function(t){return this._removeActionPoint("scale",t)},_setActionPoints:function(t,e){var i,r,o;for(o=(i=s.Z.isArray(e)?e:arguments).length,this[t+"Points"]=[],r=0;r<o;++r)this._addActionPoint(t,i[r]);return this},_addActionPoint:function(t,e){return this[t+"Points"].push(this.board.select(e)),this},_removeActionPoint:function(t,e){var i=this[t+"Points"].indexOf(this.board.select(e));return i>-1&&this[t+"Points"].splice(i,1),this},setProperty:function(){t.Z.deprecated("Group.setProperty","Group.setAttribute()"),this.setAttribute.apply(this,arguments)},setAttribute:function(){var t;for(t in this.objects)this.objects.hasOwnProperty(t)&&this.objects[t].point.setAttribute.apply(this.objects[t].point,arguments);return this}}),t.Z.createGroup=function(e,i,r){var o=s.Z.copyAttributes(r,e.options,"group"),n=new t.Z.Group(e,o.id,o.name,i,o);return n.elType="group",n.setParents(i),n},t.Z.registerElement("group",t.Z.createGroup);t.Z.Group;t.Z.Circle=function(t,e,r,o,n){this.constructor(t,n,i.Z.OBJECT_TYPE_CIRCLE,i.Z.OBJECT_CLASS_CIRCLE),this.method=e,this.midpoint=this.board.select(r),this.center=this.board.select(r),this.point2=null,this.radius=0,this.line=null,this.circle=null,this.points=[],"twoPoints"===e?(this.point2=t.select(o),this.radius=this.Radius()):"pointRadius"===e?(this.gxtterm=o,this.updateRadius=s.Z.createFunction(o,this.board,null,!0),this.updateRadius(),this.addParentsFromJCFunctions([this.updateRadius])):"pointLine"===e?(this.line=t.select(o),this.radius=this.line.point1.coords.distance(i.Z.COORDS_BY_USER,this.line.point2.coords)):"pointCircle"===e&&(this.circle=t.select(o),this.radius=this.circle.Radius()),this.id=this.board.setId(this,"C"),this.board.renderer.drawEllipse(this),this.board.finalizeAdding(this),this.createGradient(),this.elType="circle",this.createLabel(),s.Z.exists(this.center._is_new)?(this.addChild(this.center),delete this.center._is_new):this.center.addChild(this),"pointRadius"===e?this.notifyParents(o):"pointLine"===e?this.line.addChild(this):"pointCircle"===e?this.circle.addChild(this):"twoPoints"===e&&(s.Z.exists(this.point2._is_new)?(this.addChild(this.point2),delete this.point2._is_new):this.point2.addChild(this)),this.methodMap=s.Z.deepCopy(this.methodMap,{setRadius:"setRadius",getRadius:"getRadius",Area:"Area",area:"Area",radius:"Radius",center:"center",line:"line",point2:"point2"})},t.Z.Circle.prototype=new J.Z,t.Z.extend(t.Z.Circle.prototype,{hasPoint:function(t,e){var r,o,n,a,h,l=this.center.coords.usrCoords,d=new c.Z(i.Z.COORDS_BY_SCREEN,[t,e],this.board),u=this.Radius();return s.Z.isObject(s.Z.evaluate(this.visProp.precision))?(o=this.board._inputDevice,r=s.Z.evaluate(this.visProp.precision[o])):r=this.board.options.precision.hasPoint,n=l[1]-d.usrCoords[1],a=l[2]-d.usrCoords[2],h=Math.sqrt(n*n+a*a),r+=.5*s.Z.evaluate(this.visProp.strokewidth),r/=Math.sqrt(Math.abs(this.board.unitX*this.board.unitY)),s.Z.evaluate(this.visProp.hasinnerpoints)?h<u+r:Math.abs(h-u)<r},generatePolynomial:function(t){var e=this.center.symbolic.x,i=this.center.symbolic.y,s=t.symbolic.x,r=t.symbolic.y,o=this.generateRadiusSquared();return""===o?[]:["(("+s+")-("+e+"))^2 + (("+r+")-("+i+"))^2 - ("+o+")"]},generateRadiusSquared:function(){var t,e,i,r,o="";return"twoPoints"===this.method?(t=this.center.symbolic.x,e=this.center.symbolic.y,o="(("+(i=this.point2.symbolic.x)+")-("+t+"))^2 + (("+(r=this.point2.symbolic.y)+")-("+e+"))^2"):"pointRadius"===this.method?s.Z.isNumber(this.radius)&&(o=(this.radius*this.radius).toString()):"pointLine"===this.method?(i=this.line.point1.symbolic.x,r=this.line.point1.symbolic.y,o="(("+i+")-("+this.line.point2.symbolic.x+"))^2 + (("+r+")-("+this.line.point2.symbolic.y+"))^2"):"pointCircle"===this.method&&(o=this.circle.Radius()),o},update:function(){var t,e,r,o,n,a;if(this.needsUpdate)for(s.Z.evaluate(this.visProp.trace)&&this.cloneToBackground(!0),"pointLine"===this.method?this.radius=this.line.point1.coords.distance(i.Z.COORDS_BY_USER,this.line.point2.coords):"pointCircle"===this.method?this.radius=this.circle.Radius():"pointRadius"===this.method&&(this.radius=this.updateRadius()),this.updateStdform(),this.updateQuadraticform(),r=this.center.coords.usrCoords[0],t=this.center.coords.usrCoords[1]/r,e=this.center.coords.usrCoords[2]/r,r/=r,o=this.Radius(),n=.551915024494,this.numberPoints=13,this.dataX=[t+o,t+o,t+o*n,t,t-o*n,t-o,t-o,t-o,t-o*n,t,t+o*n,t+o,t+o],this.dataY=[e,e+o*n,e+o,e+o,e+o,e+o*n,e,e-o*n,e-o,e-o,e-o,e-o*n,e],this.bezierDegree=3,a=0;a<this.numberPoints;a++)this.points[a]=new c.Z(i.Z.COORDS_BY_USER,[this.dataX[a],this.dataY[a]],this.board);return this},updateQuadraticform:function(){var t=this.center,e=t.X(),i=t.Y(),s=this.Radius();this.quadraticform=[[e*e+i*i-s*s,-e,-i],[-e,1,0],[-i,0,1]]},updateStdform:function(){this.stdform[3]=.5,this.stdform[4]=this.Radius(),this.stdform[1]=-this.center.coords.usrCoords[1],this.stdform[2]=-this.center.coords.usrCoords[2],isFinite(this.stdform[4])||(this.stdform[0]=s.Z.exists(this.point2)?-(this.stdform[1]*this.point2.coords.usrCoords[1]+this.stdform[2]*this.point2.coords.usrCoords[2]):0),this.normalize()},updateRenderer:function(){return this.needsUpdate?(this.visPropCalc.visible&&(this.isReal=!isNaN(this.center.coords.usrCoords[1]+this.center.coords.usrCoords[2]+this.Radius())&&this.center.isReal,this.isReal||this.updateVisibility(!1)),this.visPropCalc.visible&&this.board.renderer.updateEllipse(this),this.hasLabel&&this.visPropCalc.visible&&this.label&&this.label.visPropCalc.visible&&this.isReal&&(this.label.update(),this.board.renderer.updateText(this.label)),this.setDisplayRendNode(),this.needsUpdate=!1,this):this},notifyParents:function(t){s.Z.isString(t)&&D.Z.findDependencies(this,t,this.board)},setRadius:function(t){return this.updateRadius=s.Z.createFunction(t,this.board,null,!0),this.addParentsFromJCFunctions([this.updateRadius]),this.board.update(),this},Radius:function(t){return s.Z.exists(t)?(this.setRadius(t),this.Radius()):"twoPoints"===this.method?s.Z.cmpArrays(this.point2.coords.usrCoords,[0,0,0])||s.Z.cmpArrays(this.center.coords.usrCoords,[0,0,0])?NaN:this.center.Dist(this.point2):"pointLine"===this.method||"pointCircle"===this.method?this.radius:"pointRadius"===this.method?this.updateRadius():NaN},getRadius:function(){return t.Z.deprecated("Circle.getRadius()","Circle.Radius()"),this.Radius()},getTextAnchor:function(){return this.center.coords},getLabelAnchor:function(){var t,e,r=this.Radius(),o=this.center.coords.usrCoords,n=.7071067811865;switch(s.Z.evaluate(this.visProp.label.position)){case"lft":t=o[1]-r,e=o[2];break;case"llft":t=o[1]-n*r,e=o[2]-n*r;break;case"rt":t=o[1]+r,e=o[2];break;case"lrt":t=o[1]+n*r,e=o[2]-n*r;break;case"urt":t=o[1]+n*r,e=o[2]+n*r;break;case"top":t=o[1],e=o[2]+r;break;case"bot":t=o[1],e=o[2]-r;break;default:t=o[1]-n*r,e=o[2]+n*r}return new c.Z(i.Z.COORDS_BY_USER,[t,e],this.board)},cloneToBackground:function(){var t,e=this.Radius(),r={id:this.id+"T"+this.numTraces,elementClass:i.Z.OBJECT_CLASS_CIRCLE,center:{coords:this.center.coords},Radius:function(){return e},getRadius:function(){return e},board:this.board,visProp:s.Z.deepCopy(this.visProp,this.visProp.traceattributes,!0)};return r.visProp.layer=this.board.options.layer.trace,this.numTraces++,s.Z.clearVisPropOld(r),r.visPropCalc={visible:s.Z.evaluate(r.visProp.visible)},t=this.board.renderer.enhancedRendering,this.board.renderer.enhancedRendering=!0,this.board.renderer.drawEllipse(r),this.board.renderer.enhancedRendering=t,this.traces[r.id]=r.rendNode,this},addTransform:function(t){var e,i=s.Z.isArray(t)?t:[t],r=i.length;for(e=0;e<r;e++)this.center.transformations.push(i[e]),"twoPoints"===this.method&&this.point2.transformations.push(i[e]);return this},snapToGrid:function(){var t=s.Z.evaluate(this.visProp.snaptogrid);return this.center.handleSnapToGrid(t,!0),"twoPoints"===this.method&&this.point2.handleSnapToGrid(t,!0),this},snapToPoints:function(){var t=s.Z.evaluate(this.visProp.snaptopoints);return this.center.handleSnapToPoints(t),"twoPoints"===this.method&&this.point2.handleSnapToPoints(t),this},X:function(t){return this.Radius()*Math.cos(2*t*Math.PI)+this.center.coords.usrCoords[1]},Y:function(t){return this.Radius()*Math.sin(2*t*Math.PI)+this.center.coords.usrCoords[2]},Z:function(t){return 1},minX:function(){return 0},maxX:function(){return 1},Area:function(){var t=this.Radius();return t*t*Math.PI},Perimeter:function(){return 2*this.Radius()*Math.PI},bounds:function(){var t=this.center.coords.usrCoords,e=this.Radius();return[t[1]-e,t[2]+e,t[1]+e,t[2]-e]},getParents:function(){return 1===this.parents.length?this.parents.concat(this.radius):this.parents}}),t.Z.createCircle=function(e,r,o){var n,a,h,l,c,d=["center","point2"];if(a=[],c=e.select(r[0]),s.Z.isObject(c)&&c.elementClass===i.Z.OBJECT_CLASS_CIRCLE&&s.Z.isTransformationOrArray(r[1]))return l=s.Z.copyAttributes(o,e.options,"circle"),(n=t.Z.createEllipse(e,[c.center,c.center,function(){return 2*c.Radius()}],l)).addTransform(r[1]),n;for(h=0;h<r.length;h++)if(s.Z.isPointType(e,r[h])){if(!1===(a=a.concat(s.Z.providePoints(e,[r[h]],o,"circle",[d[h]])))[a.length-1])throw new Error("JSXGraph: Can't create circle from this type. Please provide a point type.")}else a.push(r[h]);if(l=s.Z.copyAttributes(o,e.options,"circle"),2===a.length&&s.Z.isPoint(a[0])&&s.Z.isPoint(a[1]))n=new t.Z.Circle(e,"twoPoints",a[0],a[1],l);else if((s.Z.isNumber(a[0])||s.Z.isFunction(a[0])||s.Z.isString(a[0]))&&s.Z.isPoint(a[1]))n=new t.Z.Circle(e,"pointRadius",a[1],a[0],l);else if((s.Z.isNumber(a[1])||s.Z.isFunction(a[1])||s.Z.isString(a[1]))&&s.Z.isPoint(a[0]))n=new t.Z.Circle(e,"pointRadius",a[0],a[1],l);else if(a[0].elementClass===i.Z.OBJECT_CLASS_CIRCLE&&s.Z.isPoint(a[1]))n=new t.Z.Circle(e,"pointCircle",a[1],a[0],l);else if(a[1].elementClass===i.Z.OBJECT_CLASS_CIRCLE&&s.Z.isPoint(a[0]))n=new t.Z.Circle(e,"pointCircle",a[0],a[1],l);else if(a[0].elementClass===i.Z.OBJECT_CLASS_LINE&&s.Z.isPoint(a[1]))n=new t.Z.Circle(e,"pointLine",a[1],a[0],l);else if(a[1].elementClass===i.Z.OBJECT_CLASS_LINE&&s.Z.isPoint(a[0]))n=new t.Z.Circle(e,"pointLine",a[0],a[1],l);else{if(!(3===r.length&&s.Z.isPoint(a[0])&&s.Z.isPoint(a[1])&&s.Z.isPoint(a[2])))throw new Error("JSXGraph: Can't create circle with parent types '"+typeof r[0]+"' and '"+typeof r[1]+"'.\nPossible parent types: [point,point], [point,number], [point,function], [point,circle], [point,point,point], [circle,transformation]");if(!t.Z.elements.circumcircle)throw new Error("JSXGraph: Can't create circle with three points. Please include the circumcircle element (element/composition).");n=t.Z.elements.circumcircle(e,a,l)}for(n.isDraggable=!0,n.setParents(a),n.elType="circle",h=0;h<a.length;h++)s.Z.isPoint(a[h])&&n.inherits.push(a[h]);return n},t.Z.registerElement("circle",t.Z.createCircle);var H=t.Z.Circle;t.Z.createEllipse=function(t,e,r){var o,n,a,h,l,d,u,p=[],f=s.Z.copyAttributes(r,t.options,"conic","foci"),_=s.Z.copyAttributes(r,t.options,"conic","center"),m=s.Z.copyAttributes(r,t.options,"conic");for(d=0;d<2;d++)if(e[d].length>1)p[d]=t.create("point",e[d],f);else if(s.Z.isPoint(e[d]))p[d]=t.select(e[d]);else if(s.Z.isFunction(e[d])&&s.Z.isPoint(e[d]()))p[d]=e[d]();else{if(!s.Z.isString(e[d]))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[d]=t.select(e[d])}if(s.Z.isNumber(e[2]))l=s.Z.createFunction(e[2],t);else if(s.Z.isFunction(e[2])&&s.Z.isNumber(e[2]()))l=e[2];else{if(s.Z.isPoint(e[2]))h=t.select(e[2]);else if(e[2].length>1)h=t.create("point",e[2],f);else if(s.Z.isFunction(e[2])&&s.Z.isPoint(e[2]()))h=e[2]();else{if(!s.Z.isString(e[2]))throw new Error("JSXGraph: Can't create Ellipse with parent types '"+typeof e[0]+"' and '"+typeof e[1]+"' and '"+typeof e[2]+"'.\nPossible parent types: [point,point,point], [point,point,number|function]");h=t.select(e[2])}l=function(){return h.Dist(p[0])+h.Dist(p[1])}}for(s.Z.exists(e[4])||(e[4]=2*Math.PI),s.Z.exists(e[3])||(e[3]=0),a=t.create("point",[function(){return.5*(p[0].X()+p[1].X())},function(){return.5*(p[0].Y()+p[1].Y())}],_),(n=t.create("curve",[function(t){return 0},function(t){return 0},e[3],e[4]],m)).majorAxis=l,u=n.hasPoint,o=function(t,e){var i,s,r,o,a,h,c,d,u;e||(s=(i=l())*i,r=p[0].X(),o=p[0].Y(),c=r-(a=p[1].X()),d=o-(h=p[1].Y()),u=(s-r*r-o*o+a*a+h*h)/(2*i),n.quadraticform=[[u*u-a*a-h*h,u*c/i+a,u*d/i+h],[u*c/i+a,c*c/s-1,c*d/s],[u*d/i+h,c*d/s,d*d/s-1]])},n.X=function(t,e){var i=l(),s=p[1].Dist(p[0]),r=.5*(s*s-i*i)/(s*Math.cos(t)-i),n=Math.atan2(p[1].Y()-p[0].Y(),p[1].X()-p[0].X());return e||o(0,e),p[0].X()+Math.cos(n+t)*r},n.Y=function(t,e){var i=l(),s=p[1].Dist(p[0]),r=.5*(s*s-i*i)/(s*Math.cos(t)-i),o=Math.atan2(p[1].Y()-p[0].Y(),p[1].X()-p[0].X());return p[0].Y()+Math.sin(o+t)*r},n.midpoint=n.center=a,n.type=i.Z.OBJECT_TYPE_CONIC,n.subs={center:n.center},n.inherits.push(n.center,p[0],p[1]),s.Z.isPoint(h)&&n.inherits.push(h),n.hasPoint=function(t,e){var r,o,n,a;return s.Z.evaluate(this.visProp.hasinnerpoints)?(r=p[0].coords,o=p[1].coords,n=this.majorAxis(),(a=new c.Z(i.Z.COORDS_BY_SCREEN,[t,e],this.board)).distance(i.Z.COORDS_BY_USER,r)+a.distance(i.Z.COORDS_BY_USER,o)<=n):u.apply(this,arguments)},a.addChild(n),d=0;d<2;d++)s.Z.isPoint(p[d])&&p[d].addChild(n);return s.Z.isPoint(h)&&h.addChild(n),n.setParents(e),n},t.Z.createHyperbola=function(t,e,r){var o,n,a,h,l,c,d=[],u=s.Z.copyAttributes(r,t.options,"conic","foci"),p=s.Z.copyAttributes(r,t.options,"conic","center"),f=s.Z.copyAttributes(r,t.options,"conic");for(c=0;c<2;c++)if(e[c].length>1)d[c]=t.create("point",e[c],u);else if(s.Z.isPoint(e[c]))d[c]=t.select(e[c]);else if(s.Z.isFunction(e[c])&&s.Z.isPoint(e[c]()))d[c]=e[c]();else{if(!s.Z.isString(e[c]))throw new Error("JSXGraph: Can't create Hyperbola with parent types '"+typeof e[0]+"' and '"+typeof e[1]+"'.\nPossible parent types: [point,point,point], [point,point,number|function]");d[c]=t.select(e[c])}if(s.Z.isNumber(e[2]))l=s.Z.createFunction(e[2],t);else if(s.Z.isFunction(e[2])&&s.Z.isNumber(e[2]()))l=e[2];else{if(s.Z.isPoint(e[2]))h=t.select(e[2]);else if(e[2].length>1)h=t.create("point",e[2],u);else if(s.Z.isFunction(e[2])&&s.Z.isPoint(e[2]()))h=e[2]();else{if(!s.Z.isString(e[2]))throw new Error("JSXGraph: Can't create Hyperbola with parent types '"+typeof e[0]+"' and '"+typeof e[1]+"' and '"+typeof e[2]+"'.\nPossible parent types: [point,point,point], [point,point,number|function]");h=t.select(e[2])}l=function(){return h.Dist(d[0])-h.Dist(d[1])}}for(s.Z.exists(e[4])||(e[4]=1.0001*Math.PI),s.Z.exists(e[3])||(e[3]=-1.0001*Math.PI),a=t.create("point",[function(){return.5*(d[0].X()+d[1].X())},function(){return.5*(d[0].Y()+d[1].Y())}],p),(n=t.create("curve",[function(t){return 0},function(t){return 0},e[3],e[4]],f)).majorAxis=l,o=function(t,e){var i,s,r,o,a,h,c,u,p;e||(s=(i=l())*i,r=d[0].X(),o=d[0].Y(),c=r-(a=d[1].X()),u=o-(h=d[1].Y()),p=(s-r*r-o*o+a*a+h*h)/(2*i),n.quadraticform=[[p*p-a*a-h*h,p*c/i+a,p*u/i+h],[p*c/i+a,c*c/s-1,c*u/s],[p*u/i+h,c*u/s,u*u/s-1]])},n.X=function(t,e){var i=l(),s=d[1].Dist(d[0]),r=.5*(s*s-i*i)/(s*Math.cos(t)+i),n=Math.atan2(d[1].Y()-d[0].Y(),d[1].X()-d[0].X());return e||o(0,e),d[0].X()+Math.cos(n+t)*r},n.Y=function(t,e){var i=l(),s=d[1].Dist(d[0]),r=.5*(s*s-i*i)/(s*Math.cos(t)+i),o=Math.atan2(d[1].Y()-d[0].Y(),d[1].X()-d[0].X());return d[0].Y()+Math.sin(o+t)*r},n.midpoint=n.center=a,n.subs={center:n.center},n.inherits.push(n.center,d[0],d[1]),s.Z.isPoint(h)&&n.inherits.push(h),n.type=i.Z.OBJECT_TYPE_CONIC,a.addChild(n),c=0;c<2;c++)s.Z.isPoint(d[c])&&d[c].addChild(n);return s.Z.isPoint(h)&&h.addChild(n),n.setParents(e),n},t.Z.createParabola=function(t,e,r){var o,n,a,h,l=e[0],c=e[1],d=s.Z.copyAttributes(r,t.options,"conic","foci"),p=s.Z.copyAttributes(r,t.options,"conic","center"),f=s.Z.copyAttributes(r,t.options,"conic");if(e[0].length>1)l=t.create("point",e[0],d);else if(s.Z.isPoint(e[0]))l=t.select(e[0]);else if(s.Z.isFunction(e[0])&&s.Z.isPoint(e[0]()))l=e[0]();else{if(!s.Z.isString(e[0]))throw new Error("JSXGraph: Can't create Parabola with parent types '"+typeof e[0]+"' and '"+typeof e[1]+"'.\nPossible parent types: [point,line]");l=t.select(e[0])}return s.Z.isArray(c)&&2===c.length&&(h=s.Z.copyAttributes(r,t.options,"conic","line"),c=t.create("line",c,h)),s.Z.exists(e[3])||(e[3]=2*Math.PI),s.Z.exists(e[2])||(e[2]=0),a=t.create("point",[function(){return u.Z.projectPointToLine(l,c,t).usrCoords}],p),(n=t.create("curve",[function(t){return 0},function(t){return 0},e[2],e[3]],f)).midpoint=n.center=a,n.subs={center:n.center},n.inherits.push(n.center),o=function(t,e){var i,s,r,o,a,h;e||(i=c.stdform[1],s=c.stdform[2],r=c.stdform[0],o=i*i+s*s,a=l.X(),h=l.Y(),n.quadraticform=[[r*r-o*(a*a+h*h),r*i+o*a,r*s+o*h],[r*i+o*a,-s*s,i*s],[r*s+o*h,i*s,-i*i]])},n.X=function(t,e){var i,s=c.getAngle(),r=u.Z.distPointLine(l.coords.usrCoords,c.stdform),n=c.point1.coords.usrCoords,a=c.point2.coords.usrCoords,h=l.coords.usrCoords;return 0===n[0]?n=[1,a[1]+c.stdform[2],a[2]-c.stdform[1]]:0===a[0]&&(a=[1,n[1]+c.stdform[2],n[2]-c.stdform[1]]),i=((a[1]-n[1])*(h[2]-n[2])-(a[2]-n[2])*(h[1]-n[1])>=0?1:-1)*r/(1-Math.sin(t)),e||o(0,e),l.X()+Math.cos(t+s)*i},n.Y=function(t,e){var i,s=c.getAngle(),r=u.Z.distPointLine(l.coords.usrCoords,c.stdform),o=c.point1.coords.usrCoords,n=c.point2.coords.usrCoords,a=l.coords.usrCoords;return 0===o[0]?o=[1,n[1]+c.stdform[2],n[2]-c.stdform[1]]:0===n[0]&&(n=[1,o[1]+c.stdform[2],o[2]-c.stdform[1]]),i=((n[1]-o[1])*(a[2]-o[2])-(n[2]-o[2])*(a[1]-o[1])>=0?1:-1)*r/(1-Math.sin(t)),l.Y()+Math.sin(t+s)*i},n.type=i.Z.OBJECT_TYPE_CONIC,a.addChild(n),s.Z.isPoint(l)&&(l.addChild(n),n.inherits.push(l)),c.addChild(n),n.setParents(e),n},t.Z.createConic=function(t,e,r){var n,a,h,c,d,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=s.Z.copyAttributes(r,t.options,"conic","point"),x=s.Z.copyAttributes(r,t.options,"conic","center"),S=s.Z.copyAttributes(r,t.options,"conic");if(5===e.length)Z=!0;else{if(6!==e.length)throw new Error("JSXGraph: Can't create generic Conic with "+e.length+" parameters.");Z=!1}if(Z)for(b=0;b<5;b++)if(e[b].length>1)P[b]=t.create("point",e[b],O);else if(s.Z.isPoint(e[b]))P[b]=t.select(e[b]);else if(s.Z.isFunction(e[b])&&s.Z.isPoint(e[b]()))P[b]=e[b]();else{if(!s.Z.isString(e[b]))throw new Error("JSXGraph: Can't create Conic section with parent types '"+typeof e[b]+"'.\nPossible parent types: [point,point,point,point,point], [a00,a11,a22,a01,a02,a12]");P[b]=t.select(e[b])}else(v=[[0,0,0],[0,0,0],[0,0,0]])[0][0]=s.Z.isFunction(e[2])?function(){return e[2]()}:function(){return e[2]},v[0][1]=s.Z.isFunction(e[4])?function(){return e[4]()}:function(){return e[4]},v[0][2]=s.Z.isFunction(e[5])?function(){return e[5]()}:function(){return e[5]},v[1][1]=s.Z.isFunction(e[0])?function(){return e[0]()}:function(){return e[0]},v[1][2]=s.Z.isFunction(e[3])?function(){return e[3]()}:function(){return e[3]},v[2][2]=s.Z.isFunction(e[1])?function(){return e[1]()}:function(){return e[1]};if(d=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},c=function(t,e){var i,s,r=[[0,0,0],[0,0,0],[0,0,0]];for(i=0;i<3;i++)for(s=0;s<3;s++)r[i][s]=t[i]*e[s];return d(r)},h=function(t,e,i){var s,r,n,a,h,l=[[0,0,0],[0,0,0],[0,0,0]];for(h=o.Z.matVecMult(e,i),n=o.Z.innerProduct(i,h),h=o.Z.matVecMult(t,i),a=o.Z.innerProduct(i,h),s=0;s<3;s++)for(r=0;r<3;r++)l[s][r]=n*t[s][r]-a*e[s][r];return l},a=t.create("curve",[function(t){return 0},function(t){return 0},0,2*Math.PI],S),n=function(t,e){var i,r,n,d;if(!e){if(Z){for(i=0;i<5;i++)E[i]=P[i].coords.usrCoords;m=c(o.Z.crossProduct(E[0],E[1]),o.Z.crossProduct(E[2],E[3])),g=c(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(r=i;r<3;r++)y[i][r]=v[i][r](),r>i&&(y[r][i]=y[i][r]);for(a.quadraticform=y,(u=l.Z.Jacobi(y))[0][0][0]<0&&(u[0][0][0]*=-1,u[0][1][1]*=-1,u[0][2][2]*=-1),i=0;i<3;i++){for(n=0,r=0;r<3;r++)n+=u[1][r][i]*u[1][r][i];n=Math.sqrt(n)}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?d=o.Z.matVecMult(C,[1/_,Math.cos(t)/p,Math.sin(t)/f]):u[0][1][1]<=0&&u[0][2][2]>0?d=o.Z.matVecMult(C,[Math.cos(t)/_,1/p,Math.sin(t)/f]):u[0][2][2]<0&&(d=o.Z.matVecMult(C,[Math.sin(t)/_,Math.cos(t)/p,1/f])),s.Z.exists(d)?(d[1]/=d[0],d[2]/=d[0],d[0]=1):d=[1,NaN,NaN],d},a.X=function(t,e){return n(t,e)[1]},a.Y=function(t,e){return n(t,e)[2]},a.midpoint=t.create("point",[function(){var t=a.quadraticform;return[t[1][1]*t[2][2]-t[1][2]*t[1][2],t[1][2]*t[0][2]-t[2][2]*t[0][1],t[0][1]*t[1][2]-t[1][1]*t[0][2]]}],x),a.type=i.Z.OBJECT_TYPE_CONIC,a.center=a.midpoint,a.subs={center:a.center},a.inherits.push(a.center),a.inherits=a.inherits.concat(P),Z){for(b=0;b<5;b++)s.Z.isPoint(P[b])&&P[b].addChild(a);a.setParents(e)}return a.addChild(a.center),a},t.Z.registerElement("ellipse",t.Z.createEllipse),t.Z.registerElement("hyperbola",t.Z.createHyperbola),t.Z.registerElement("parabola",t.Z.createParabola),t.Z.registerElement("conic",t.Z.createConic),t.Z.Polygon=function(e,r,o){this.constructor(e,o,i.Z.OBJECT_TYPE_POLYGON,i.Z.OBJECT_CLASS_AREA);var n,a,h,l,c,d=s.Z.copyAttributes(o,e.options,"polygon","borders");for(this.withLines=o.withlines,this.attr_line=d,this.vertices=[],n=0;n<r.length;n++)this.vertices[n]=this.board.select(r[n]),this.vertices[n]._is_new&&(delete this.vertices[n]._is_new,this.vertices[n]._is_new_pol=!0);if(this.vertices.length>0&&this.vertices[this.vertices.length-1].id!==this.vertices[0].id&&this.vertices.push(this.vertices[0]),this.borders=[],this.withLines)for(h=this.vertices.length-1,l=0;l<h;l++)n=(l+1)%h,d.id=d.ids&&d.ids[n],d.name=d.names&&d.names[n],d.strokecolor=s.Z.isArray(d.colors)&&d.colors[n%d.colors.length]||d.strokecolor,d.visible=s.Z.exists(o.borders.visible)?o.borders.visible:o.visible,!1===d.strokecolor&&(d.strokecolor="none"),(a=e.create("segment",[this.vertices[n],this.vertices[n+1]],d)).dump=!1,this.borders[n]=a,a.parentPolygon=this,this.addChild(a);for(this.inherits.push(this.vertices,this.borders),this.id=this.board.setId(this,"Py"),n=0;n<this.vertices.length-1;n++)c=this.board.select(this.vertices[n]),s.Z.exists(c._is_new_pol)?(this.addChild(c),delete c._is_new_pol):c.addChild(this);this.board.renderer.drawPolygon(this),this.board.finalizeAdding(this),this.createGradient(),this.elType="polygon",this.createLabel(),this.methodMap=t.Z.deepCopy(this.methodMap,{borders:"borders",vertices:"vertices",A:"Area",Area:"Area",Perimeter:"Perimeter",L:"Perimeter",Length:"Perimeter",boundingBox:"boundingBox",bounds:"bounds",addPoints:"addPoints",insertPoints:"insertPoints",removePoints:"removePoints"})},t.Z.Polygon.prototype=new J.Z,t.Z.extend(t.Z.Polygon.prototype,{pnpoly:function(t,e,i){return u.Z.pnpoly(t,e,this.vertices,i)},hasPoint:function(t,e){var i,r;if(s.Z.evaluate(this.visProp.hasinnerpoints)&&this.pnpoly(t,e))return!0;for(r=this.borders.length,i=0;i<r;i++)if(this.borders[i].hasPoint(t,e))return!0;return!1},updateRenderer:function(){var t,e;if(!this.needsUpdate)return this;if(this.visPropCalc.visible){for(e=this.vertices.length-("polygonalchain"===this.elType?0:1),this.isReal=!0,t=0;t<e;++t)if(!this.vertices[t].isReal){this.isReal=!1;break}if(!this.isReal)for(t in this.updateVisibility(!1),this.childElements)this.childElements.hasOwnProperty(t)&&this.childElements[t].setDisplayRendNode(!1)}return this.visPropCalc.visible&&this.board.renderer.updatePolygon(this),this.hasLabel&&this.visPropCalc.visible&&this.label&&this.label.visPropCalc.visible&&this.isReal&&(this.label.update(),this.board.renderer.updateText(this.label)),this.setDisplayRendNode(),this.needsUpdate=!1,this},getTextAnchor:function(){var t,e,s,r,o;if(0===this.vertices.length)return new c.Z(i.Z.COORDS_BY_USER,[1,0,0],this.board);for(s=t=this.vertices[0].X(),r=e=this.vertices[0].Y(),o=0;o<this.vertices.length;o++)this.vertices[o].X()<t&&(t=this.vertices[o].X()),this.vertices[o].X()>s&&(s=this.vertices[o].X()),this.vertices[o].Y()>e&&(e=this.vertices[o].Y()),this.vertices[o].Y()<r&&(r=this.vertices[o].Y());return new c.Z(i.Z.COORDS_BY_USER,[.5*(t+s),.5*(e+r)],this.board)},getLabelAnchor:t.Z.shortcut(t.Z.Polygon.prototype,"getTextAnchor"),cloneToBackground:function(){var t,e={};return e.id=this.id+"T"+this.numTraces,this.numTraces++,e.vertices=this.vertices,e.visProp=s.Z.deepCopy(this.visProp,this.visProp.traceattributes,!0),e.visProp.layer=this.board.options.layer.trace,e.board=this.board,s.Z.clearVisPropOld(e),e.visPropCalc={visible:s.Z.evaluate(e.visProp.visible)},t=this.board.renderer.enhancedRendering,this.board.renderer.enhancedRendering=!0,this.board.renderer.drawPolygon(e),this.board.renderer.enhancedRendering=t,this.traces[e.id]=e.rendNode,this},hideElement:function(e){var i;if(t.Z.deprecated("Element.hideElement()","Element.setDisplayRendNode()"),this.visPropCalc.visible=!1,this.board.renderer.display(this,!1),!e)for(i=0;i<this.borders.length;i++)this.borders[i].hideElement();this.hasLabel&&s.Z.exists(this.label)&&(this.label.hiddenByParent=!0,this.label.visPropCalc.visible&&this.label.hideElement())},showElement:function(e){var i;if(t.Z.deprecated("Element.showElement()","Element.setDisplayRendNode()"),this.visPropCalc.visible=!0,this.board.renderer.display(this,!0),!e)for(i=0;i<this.borders.length;i++)this.borders[i].showElement().updateRenderer();return s.Z.exists(this.label)&&this.hasLabel&&this.label.hiddenByParent&&(this.label.hiddenByParent=!1,this.label.visPropCalc.visible||this.label.showElement().updateRenderer()),this},Area:function(){return Math.abs(u.Z.signedPolygon(this.vertices,!0))},Perimeter:function(){var t,e=this.vertices.length,i=0;for(t=1;t<e;++t)i+=this.vertices[t].Dist(this.vertices[t-1]);return i},L:function(){return this.Perimeter()},boundingBox:function(){var t,e,i=[0,0,0,0],s=this.vertices.length-1;if(0===s)return i;for(i[0]=this.vertices[0].X(),i[2]=i[0],i[1]=this.vertices[0].Y(),i[3]=i[1],t=1;t<s;++t)(e=this.vertices[t].X())<i[0]?i[0]=e:e>i[2]&&(i[2]=e),(e=this.vertices[t].Y())>i[1]?i[1]=e:e<i[3]&&(i[3]=e);return i},bounds:function(){return this.boundingBox()},remove:function(){var t;for(t=0;t<this.borders.length;t++)this.board.removeObject(this.borders[t]);J.Z.prototype.remove.call(this)},findPoint:function(t){var e;if(!s.Z.isPoint(t))return-1;for(e=0;e<this.vertices.length;e++)if(this.vertices[e].id===t.id)return e;return-1},addPoints:function(t){var e,i=Array.prototype.slice.call(arguments);return e="polygonalchain"===this.elType?this.vertices.length-1:this.vertices.length-2,this.insertPoints.apply(this,[e].concat(i))},insertPoints:function(t,e){var i,r,o,n,a;if(0===arguments.length)return this;if(o=this.vertices.length-1,"polygon"===this.elType&&o--,t<-1||t>o)return this;for(r=arguments.length-1,i=1;i<r+1;i++)(a=s.Z.providePoints(this.board,[arguments[i]],{},"polygon",["vertices"])[0])._is_new&&(this.addChild(a),delete a._is_new),this.vertices.splice(t+i,0,a);if(this.withLines)for(n=t+1,"polygon"===this.elType?t<0?(this.vertices[this.vertices.length-1]=this.vertices[0],this.borders[this.borders.length-1].point2=this.vertices[this.vertices.length-1]):this.borders[t].point2=this.vertices[n]:t>=0&&(t<this.borders.length?this.borders[t].point2=this.vertices[n]:n=t),i=n;i<n+r;i++)this.borders.splice(i,0,this.board.create("segment",[this.vertices[i],this.vertices[i+1]],this.attr_line));return this.inherits=[],this.inherits.push(this.vertices,this.borders),this.board.update(),this},removePoints:function(t){var e,i,r,o,n=[],a=[],h=[],l=[];for("polygon"===this.elType&&(o=this.vertices.pop()),e=0;e<arguments.length;e++)r=arguments[e],s.Z.isPoint(r)&&(r=this.findPoint(r)),s.Z.isNumber(r)&&r>-1&&r<this.vertices.length&&-1===s.Z.indexOf(h,r)&&h.push(r);if(0===h.length)return"polygon"===this.elType&&this.vertices.push(o),this;for(e=0;e<h.length;e++)this.vertices[h[e]].removeChild(this);for(h=h.sort(),n=this.vertices.slice(),a=this.borders.slice(),this.withLines&&l.push([h[h.length-1]]),e=h.length-1;e>-1;e--)n[h[e]]=-1,this.withLines&&h.length>1&&h[e]-1>h[e-1]&&(l[l.length-1][1]=h[e],l.push([h[e-1]]));for(this.withLines&&(l[l.length-1][1]=h[0]),this.vertices=[],e=0;e<n.length;e++)s.Z.isPoint(n[e])&&this.vertices.push(n[e]);if("polygon"===this.elType&&this.vertices.length>1&&this.vertices[this.vertices.length-1].id!==this.vertices[0].id&&this.vertices.push(this.vertices[0]),this.withLines){for(e=0;e<l.length;e++){for(i=l[e][1]-1;i<l[e][0]+1;i++)i<0?"polygon"===this.elType&&(this.board.removeObject(this.borders[a.length-1]),a[a.length-1]=-1):i<a.length&&(this.board.removeObject(this.borders[i]),a[i]=-1);0!==l[e][1]&&l[e][0]!==n.length-1&&(a[l[e][0]-1]=this.board.create("segment",[n[l[e][1]-1],n[l[e][0]+1]],this.attr_line))}for(this.borders=[],e=0;e<a.length;e++)-1!==a[e]&&this.borders.push(a[e]);"polygon"===this.elType&&this.vertices.length>2&&(l[0][1]===this.vertices.length-1||0===l[l.length-1][1])&&this.borders.push(this.board.create("segment",[this.vertices[this.vertices.length-2],this.vertices[0]],this.attr_line))}return this.inherits=[],this.inherits.push(this.vertices,this.borders),this.board.update(),this},getParents:function(){return this.setParents(this.vertices),this.parents},getAttributes:function(){var t,e=J.Z.prototype.getAttributes.call(this);if(this.withLines)for(e.lines=e.lines||{},e.lines.ids=[],e.lines.colors=[],t=0;t<this.borders.length;t++)e.lines.ids.push(this.borders[t].id),e.lines.colors.push(this.borders[t].visProp.strokecolor);return e},snapToGrid:function(){var t,e;for(e=!!s.Z.evaluate(this.visProp.snaptogrid),t=0;t<this.vertices.length;t++)this.vertices[t].handleSnapToGrid(e,!0)},setPositionDirectly:function(t,e,i){var s,r,o,n=new c.Z(t,e,this.board),a=new c.Z(t,i,this.board);for(o=this.vertices.length-1,r=0;r<o;r++)if(!this.vertices[r].draggable())return this;return s=d.Z.subtract(n.usrCoords,a.usrCoords),this.board.create("transform",s.slice(1),{type:"translate"}).applyOnce(this.vertices.slice(0,-1)),this},sutherlandHodgman:function(e){var i,s,r,o,n,a,h,l=t.Z.Math.Geometry.sortVertices(this.vertices),c=t.Z.Math.Geometry.sortVertices(e.vertices),d=l.length-1,u=c.length-1,p=[],f=function(t,e,i){return(e[1]-t[1])*(i[2]-t[2])-(e[2]-t[2])*(i[1]-t[1])>=0};for(r=0;r<u;r++)p.push(c[r]);for(r=0;r<d;r++)for(s=p.slice(0),p=[],n=s[(i=s.length)-1],o=0;o<i;o++)a=s[o],f(l[r],l[r+1],a)?(f(l[r],l[r+1],n)||((h=t.Z.Math.Geometry.meetSegmentSegment(n,a,l[r],l[r+1]))[0][1]/=h[0][0],h[0][2]/=h[0][0],h[0][0]=1,p.push(h[0])),p.push(a)):f(l[r],l[r+1],n)&&((h=t.Z.Math.Geometry.meetSegmentSegment(n,a,l[r],l[r+1]))[0][1]/=h[0][0],h[0][2]/=h[0][0],h[0][0]=1,p.push(h[0])),n=a;return p},intersect:function(t){return this.sutherlandHodgman(t)}}),t.Z.createPolygon=function(e,r,o){var n,a,h,l,c,d,u=[],p=!1;if(s.Z.copyAttributes(o,e.options,"polygon"),null===(l=e.select(r[0]))&&(l=r[0]),s.Z.isObject(l)&&l.type===i.Z.OBJECT_TYPE_POLYGON&&s.Z.isTransformationOrArray(r[1]))for(p=!0,h=l.vertices.length-1,d=s.Z.copyAttributes(o,e.options,"polygon","vertices"),a=0;a<h;a++)d.withlabel&&(d.name=""===l.vertices[a].name?"":l.vertices[a].name+"'"),u.push(e.create("point",[l.vertices[a],r[1]],d));else if(!1===(u=s.Z.providePoints(e,r,o,"polygon",["vertices"])))throw new Error("JSXGraph: Can't create polygon / polygonalchain with parent types other than 'point' and 'coordinate arrays' or a function returning an array of coordinates. Alternatively, a polygon and a transformation can be supplied");if(c=s.Z.copyAttributes(o,e.options,"polygon"),(n=new t.Z.Polygon(e,u,c)).isDraggable=!0,p)for(n.prepareUpdate().update().updateVisibility().updateRenderer(),h=l.vertices.length-1,a=0;a<h;a++)u[a].prepareUpdate().update().updateVisibility().updateRenderer();return n},t.Z.createRegularPolygon=function(t,e,r){var o,n,a,h,l,c,d,u=[];if(a=e[(l=e.length)-1],s.Z.isNumber(a)&&(3!==e.length||a<3))throw new Error("JSXGraph: A regular polygon needs two point types and a number > 2 as input.");if(s.Z.isNumber(t.select(a))?(l--,c=!1):(a=l,c=!0),!1===(u=s.Z.providePoints(t,e.slice(0,l),r,"regularpolygon",["vertices"])))throw new Error("JSXGraph: Can't create regular polygon with parent types other than 'point' and 'coordinate arrays' or a function returning an array of coordinates");for(d=s.Z.copyAttributes(r,t.options,"regularpolygon","vertices"),n=2;n<a;n++)h=t.create("transform",[Math.PI*(2-(a-2)/a),u[n-1]],{type:"rotate"}),c?(u[n].addTransform(u[n-2],h),u[n].fullUpdate()):(s.Z.isArray(d.ids)&&d.ids.length>=a-2&&(d.id=d.ids[n-2]),u[n]=t.create("point",[u[n-2],h],d),u[n].type=i.Z.OBJECT_TYPE_CAS,u[n].isDraggable=!0,u[n].visProp.fixed=!1);return d=s.Z.copyAttributes(r,t.options,"regularpolygon"),(o=t.create("polygon",u,d)).elType="regularpolygon",o},t.Z.createPolygonalChain=function(t,e,i){var r,o;return r=s.Z.copyAttributes(i,t.options,"polygonalchain"),(o=t.create("polygon",e,r)).elType="polygonalchain",o.vertices.pop(),t.removeObject(o.borders[o.borders.length-1]),o.borders.pop(),o},t.Z.registerElement("polygon",t.Z.createPolygon),t.Z.registerElement("regularpolygon",t.Z.createRegularPolygon),t.Z.registerElement("polygonalchain",t.Z.createPolygonalChain);var W=t.Z.Polygon;t.Z.Curve=function(t,e,r){this.constructor(t,r,i.Z.OBJECT_TYPE_CURVE,i.Z.OBJECT_CLASS_CURVE),this.points=[],this.numberPoints=s.Z.evaluate(this.visProp.numberpointshigh),this.bezierDegree=1,this.dataX=null,this.dataY=null,this.ticks=[],this.qdt=null,s.Z.exists(e[0])?this.varname=e[0]:this.varname="x",this.xterm=e[1],this.yterm=e[2],this.generateTerm(this.varname,this.xterm,this.yterm,e[3],e[4]),this.updateCurve(),this.id=this.board.setId(this,"G"),this.board.renderer.drawCurve(this),this.board.finalizeAdding(this),this.createGradient(),this.elType="curve",this.createLabel(),s.Z.isString(this.xterm)&&this.notifyParents(this.xterm),s.Z.isString(this.yterm)&&this.notifyParents(this.yterm),this.methodMap=s.Z.deepCopy(this.methodMap,{generateTerm:"generateTerm",setTerm:"generateTerm",move:"moveTo",moveTo:"moveTo"})},t.Z.Curve.prototype=new J.Z,t.Z.extend(t.Z.Curve.prototype,{minX:function(){return"polar"===s.Z.evaluate(this.visProp.curvetype)?0:new c.Z(i.Z.COORDS_BY_SCREEN,[.1*-this.board.canvasWidth,0],this.board,!1).usrCoords[1]},maxX:function(){return"polar"===s.Z.evaluate(this.visProp.curvetype)?2*Math.PI:new c.Z(i.Z.COORDS_BY_SCREEN,[1.1*this.board.canvasWidth,0],this.board,!1).usrCoords[1]},X:function(t){return NaN},Y:function(t){return NaN},Z:function(t){return 1},hasPoint:function(t,e,r){var n,a,h,l,d,p,f,_,m,g,b,v,Z,C,y,P,E=[],O=s.Z.evaluate(this.visProp.numberpointslow),x=(this.maxX()-this.minX())/O,S=1/0;if(s.Z.isObject(s.Z.evaluate(this.visProp.precision))?(v=this.board._inputDevice,b=s.Z.evaluate(this.visProp.precision[v])):b=this.board.options.precision.hasPoint,t=(a=new c.Z(i.Z.COORDS_BY_SCREEN,[t,e],this.board,!1)).usrCoords[1],e=a.usrCoords[2],1===this.bezierDegree&&s.Z.evaluate(this.visProp.hasinnerpoints)&&0!==u.Z.windingNumber([1,t,e],this.points,!0))return!0;if(b+=.5*s.Z.evaluate(this.visProp.strokewidth),b*=b,Z=this.board.unitX*this.board.unitX,C=this.board.unitY*this.board.unitY,P=this.minX(),this.maxX(),s.Z.exists(this._visibleArea)&&(P=this._visibleArea[0],x=(this._visibleArea[1]-P)/O),"parameter"===(y=s.Z.evaluate(this.visProp.curvetype))||"polar"===y)for(this.transformations.length>0&&(this.updateTransformMatrix(),l=o.Z.inverse(this.transformMat),t=(d=o.Z.matVecMult(l,[1,t,e]))[1],e=d[2]),p=0,n=P;p<O;p++){if((S=(t-(f=this.X(n,true)))*(t-f)*Z+(e-(_=this.Y(n,true)))*(e-_)*C)<=b)return!0;n+=x}else if("plot"===y||"functiongraph"===y){for((!s.Z.exists(r)||r<0)&&(r=0),s.Z.exists(this.qdt)&&s.Z.evaluate(this.visProp.useqdt)&&3!==this.bezierDegree?h=(m=(g=this.qdt.query(new c.Z(i.Z.COORDS_BY_USER,[t,e],this.board))).points).length:(m=this.points,h=this.numberPoints-1),p=r;p<h;p++)if(3===this.bezierDegree?E=u.Z.projectCoordsToBeziersegment([1,t,e],this,p):g?(m[p].prev&&(E=u.Z.projectCoordsToSegment([1,t,e],m[p].prev.usrCoords,m[p].usrCoords)),m[p].next&&m[p+1]!==m[p].next&&(E=u.Z.projectCoordsToSegment([1,t,e],m[p].usrCoords,m[p].next.usrCoords))):E=u.Z.projectCoordsToSegment([1,t,e],m[p].usrCoords,m[p+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 c.Z(i.Z.COORDS_BY_USER,[0,0],this.board,!1)},update:function(){return this.needsUpdate&&(s.Z.evaluate(this.visProp.trace)&&this.cloneToBackground(!0),this.updateCurve()),this},updateRenderer:function(){return this.needsUpdate?(this.visPropCalc.visible&&(this.isReal=p.checkReal(this.points),this.isReal||this.updateVisibility(!1)),this.visPropCalc.visible&&this.board.renderer.updateCurve(this),this.hasLabel&&this.visPropCalc.visible&&this.label&&this.label.visPropCalc.visible&&this.isReal&&(this.label.update(),this.board.renderer.updateText(this.label)),this.setDisplayRendNode(),this.needsUpdate=!1,this):this},updateDataArray:function(){},updateCurve:function(){var t,e,r,o,n,a,c=this.visProp.plotversion,d=!1;if(this.updateTransformMatrix(),this.updateDataArray(),e=this.minX(),r=this.maxX(),s.Z.exists(this.dataX))for(this.numberPoints=this.dataX.length,t=this.numberPoints,this.allocatePoints(),a=0;a<t;a++)o=a,s.Z.exists(this.dataY)?(n=a,this.points[a].setCoordinates(i.Z.COORDS_BY_USER,[this.dataX[a],this.dataY[a]],!1)):(n=this.X(o),this.points[a].setCoordinates(i.Z.COORDS_BY_USER,[this.dataX[a],this.Y(n,d)],!1)),this.points[a]._t=a,d=!0;else if(s.Z.evaluate(this.visProp.doadvancedplot)?1===c||s.Z.evaluate(this.visProp.doadvancedplotold)?p.updateParametricCurveOld(this,e,r):2===c?p.updateParametricCurve_v2(this,e,r):3===c?p.updateParametricCurve_v3(this,e,r):4===c?p.updateParametricCurve_v4(this,e,r):p.updateParametricCurve_v2(this,e,r):(this.board.updateQuality===this.board.BOARD_QUALITY_HIGH?this.numberPoints=s.Z.evaluate(this.visProp.numberpointshigh):this.numberPoints=s.Z.evaluate(this.visProp.numberpointslow),this.allocatePoints(),p.updateParametricCurveNaive(this,e,r,this.numberPoints)),t=this.numberPoints,s.Z.evaluate(this.visProp.useqdt)&&this.board.updateQuality===this.board.BOARD_QUALITY_HIGH)for(this.qdt=new h(this.board.getBoundingBox()),a=0;a<this.points.length;a++)this.qdt.insert(this.points[a]),a>0&&(this.points[a].prev=this.points[a-1]),a<t-1&&(this.points[a].next=this.points[a+1]);for("plot"!==s.Z.evaluate(this.visProp.curvetype)&&s.Z.evaluate(this.visProp.rdpsmoothing)&&(this.points=l.Z.RamerDouglasPeucker(this.points,.2),this.numberPoints=this.points.length),t=this.numberPoints,a=0;a<t;a++)this.updateTransform(this.points[a]);return this},updateTransformMatrix:function(){var t,e,i=this.transformations.length;for(this.transformMat=[[1,0,0],[0,1,0],[0,0,1]],e=0;e<i;e++)(t=this.transformations[e]).update(),this.transformMat=o.Z.matMatMult(t.matrix,this.transformMat);return this},updateTransform:function(t){var e;return this.transformations.length>0&&(e=o.Z.matVecMult(this.transformMat,t.usrCoords),t.setCoordinates(i.Z.COORDS_BY_USER,e,!1,!0)),t},addTransform:function(t){var e,i=s.Z.isArray(t)?t:[t],r=i.length;for(e=0;e<r;e++)this.transformations.push(i[e]);return this},interpolationFunctionFromArray:function(t){var e="data"+t,i=this;return function(t,r){var o,n,a,h,l=i[e],c=l.length,d=[];if(isNaN(t))return NaN;if(t<0)return s.Z.isFunction(l[0])?l[0]():l[0];if(3===i.bezierDegree){if(t>=(c-1)/3)return s.Z.isFunction(l[l.length-1])?l[l.length-1]():l[l.length-1];for(o=3*Math.floor(t),h=1-(a=t%1),n=0;n<4;n++)s.Z.isFunction(l[o+n])?d[n]=l[o+n]():d[n]=l[o+n];return h*h*(h*d[0]+3*a*d[1])+(3*h*d[2]+a*d[3])*a*a}if((o=t>c-2?c-2:parseInt(Math.floor(t),10))===t)return s.Z.isFunction(l[o])?l[o]():l[o];for(n=0;n<2;n++)s.Z.isFunction(l[o+n])?d[n]=l[o+n]():d[n]=l[o+n];return d[0]+(d[1]-d[0])*(t-o)}},generateTerm:function(t,e,i,r,o){var n,a;s.Z.isArray(e)?(this.dataX=e,this.numberPoints=this.dataX.length,this.X=this.interpolationFunctionFromArray.apply(this,["X"]),this.visProp.curvetype="plot",this.isDraggable=!0):(this.X=s.Z.createFunction(e,this.board,t),s.Z.isString(e)?this.visProp.curvetype="functiongraph":(s.Z.isFunction(e)||s.Z.isNumber(e))&&(this.visProp.curvetype="parameter"),this.isDraggable=!0),s.Z.isArray(i)?(this.dataY=i,this.Y=this.interpolationFunctionFromArray.apply(this,["Y"])):this.Y=s.Z.createFunction(i,this.board,t),s.Z.isFunction(e)&&s.Z.isArray(i)&&(n=s.Z.createFunction(i[0],this.board,""),a=s.Z.createFunction(i[1],this.board,""),this.X=function(t){return e(t)*Math.cos(t)+n()},this.X.deps=n.deps,this.Y=function(t){return e(t)*Math.sin(t)+a()},this.Y.deps=a.deps,this.visProp.curvetype="polar"),s.Z.exists(r)&&(this.minX=s.Z.createFunction(r,this.board,"")),s.Z.exists(o)&&(this.maxX=s.Z.createFunction(o,this.board,"")),this.addParentsFromJCFunctions([this.X,this.Y,this.minX,this.maxX])},notifyParents:function(t){var e,i,s,r=!1;for(e in s={xterm:1,yterm:1})if(s.hasOwnProperty(e)&&this.hasOwnProperty(e)&&this[e].origin)for(i in r=!0,this[e].origin.deps)this[e].origin.deps.hasOwnProperty(i)&&this[e].origin.deps[i].addChild(this);r||D.Z.findDependencies(this,t,this.board)},getLabelAnchor:function(){var t,e,r,o=.05*this.board.canvasWidth,n=.05*this.board.canvasHeight,a=.95*this.board.canvasWidth,h=.95*this.board.canvasHeight;switch(s.Z.evaluate(this.visProp.label.position)){case"ulft":e=o,r=n;break;case"llft":e=o,r=h;break;case"rt":e=a,r=.5*h;break;case"lrt":e=a,r=h;break;case"urt":e=a,r=n;break;case"top":e=.5*a,r=n;break;case"bot":e=.5*a,r=h;break;default:e=o,r=.5*h}return t=new c.Z(i.Z.COORDS_BY_SCREEN,[e,r],this.board,!1),u.Z.projectCoordsToCurve(t.usrCoords[1],t.usrCoords[2],0,this,this.board)[0]},cloneToBackground:function(){var t,e={id:this.id+"T"+this.numTraces,elementClass:i.Z.OBJECT_CLASS_CURVE,points:this.points.slice(0),bezierDegree:this.bezierDegree,numberPoints:this.numberPoints,board:this.board,visProp:s.Z.deepCopy(this.visProp,this.visProp.traceattributes,!0)};return e.visProp.layer=this.board.options.layer.trace,e.visProp.curvetype=this.visProp.curvetype,this.numTraces++,s.Z.clearVisPropOld(e),e.visPropCalc={visible:s.Z.evaluate(e.visProp.visible)},t=this.board.renderer.enhancedRendering,this.board.renderer.enhancedRendering=!0,this.board.renderer.drawCurve(e),this.board.renderer.enhancedRendering=t,this.traces[e.id]=e.rendNode,this},bounds:function(){var t,e,i,r=1/0,o=-1/0,n=1/0,a=-1/0,h=this.points.length;if(3===this.bezierDegree){for(t=0;t<h;t++)this.points[t].X=s.Z.bind((function(){return this.usrCoords[1]}),this.points[t]),this.points[t].Y=s.Z.bind((function(){return this.usrCoords[2]}),this.points[t]);return i=(e=l.Z.bezier(this.points))[3](),r=l.Z.fminbr((function(t){return e[0](t)}),[0,i]),o=l.Z.fminbr((function(t){return-e[0](t)}),[0,i]),n=l.Z.fminbr((function(t){return e[1](t)}),[0,i]),a=l.Z.fminbr((function(t){return-e[1](t)}),[0,i]),r=e[0](r),o=e[0](o),n=e[1](n),[r,a=e[1](a),o,n]}for(t=0;t<h;t++)r>this.points[t].usrCoords[1]&&(r=this.points[t].usrCoords[1]),o<this.points[t].usrCoords[1]&&(o=this.points[t].usrCoords[1]),n>this.points[t].usrCoords[2]&&(n=this.points[t].usrCoords[2]),a<this.points[t].usrCoords[2]&&(a=this.points[t].usrCoords[2]);return[r,a,o,n]},getParents:function(){var t=[this.xterm,this.yterm,this.minX(),this.maxX()];return 0!==this.parents.length&&(t=this.parents),t},moveTo:function(t){var e,r=[];return this.points.length>0&&!s.Z.evaluate(this.visProp.fixed)&&(e=this.points[0],r=3===t.length?[t[0]-e.usrCoords[0],t[1]-e.usrCoords[1],t[2]-e.usrCoords[2]]:[t[0]-e.usrCoords[1],t[1]-e.usrCoords[2]],this.setPosition(i.Z.COORDS_BY_USER,r)),this},getTransformationSource:function(){var t,e;return s.Z.exists(this._transformationSource)&&(e=this._transformationSource).elementClass===i.Z.OBJECT_CLASS_CURVE&&(t=!0),[t,e]},pnpoly:function(t,e,s){var r,o,n,a,h,l,d=this.points,u=!1;for(s===i.Z.COORDS_BY_USER?(a=(l=new c.Z(i.Z.COORDS_BY_USER,[t,e],this.board)).scrCoords[1],h=l.scrCoords[2]):(a=t,h=e),r=0,o=(n=this.points.length)-2;r<n-1;o=r++)d[r].scrCoords[2]>h!=d[o].scrCoords[2]>h&&a<(d[o].scrCoords[1]-d[r].scrCoords[1])*(h-d[r].scrCoords[2])/(d[o].scrCoords[2]-d[r].scrCoords[2])+d[r].scrCoords[1]&&(u=!u);return u}}),t.Z.createCurve=function(e,r,o){var n,a,h=s.Z.copyAttributes(o,e.options,"curve");return n=e.select(r[0],!0),s.Z.isTransformationOrArray(r[1])&&s.Z.isObject(n)&&(n.type===i.Z.OBJECT_TYPE_CURVE||n.type===i.Z.OBJECT_TYPE_ANGLE||n.type===i.Z.OBJECT_TYPE_ARC||n.type===i.Z.OBJECT_TYPE_CONIC||n.type===i.Z.OBJECT_TYPE_SECTOR)?(n.type===i.Z.OBJECT_TYPE_SECTOR?h=s.Z.copyAttributes(o,e.options,"sector"):n.type===i.Z.OBJECT_TYPE_ARC?h=s.Z.copyAttributes(o,e.options,"arc"):n.type===i.Z.OBJECT_TYPE_ANGLE?(s.Z.exists(o.withLabel)||(o.withLabel=!1),h=s.Z.copyAttributes(o,e.options,"angle")):h=s.Z.copyAttributes(o,e.options,"curve"),h=s.Z.copyAttributes(h,e.options,"curve"),(a=new t.Z.Curve(e,["x",[],[]],h)).updateDataArray=function(){var t,e=n.numberPoints;for(this.bezierDegree=n.bezierDegree,this.dataX=[],this.dataY=[],t=0;t<e;t++)this.dataX.push(n.points[t].usrCoords[1]),this.dataY.push(n.points[t].usrCoords[2]);return this},a.addTransform(r[1]),n.addChild(a),a.setParents([n]),a._transformationSource=n,a):(h=s.Z.copyAttributes(o,e.options,"curve"),new t.Z.Curve(e,["x"].concat(r),h))},t.Z.registerElement("curve",t.Z.createCurve),t.Z.createFunctiongraph=function(e,i,r){var o,n=["x","x"].concat(i);return(o=s.Z.copyAttributes(r,e.options,"curve")).curvetype="functiongraph",new t.Z.Curve(e,n,o)},t.Z.registerElement("functiongraph",t.Z.createFunctiongraph),t.Z.registerElement("plot",t.Z.createFunctiongraph),t.Z.createSpline=function(e,i,r){var o,n,a;return n=function(){var t,e=[],r=[];return[function(o,n){var a,h,c;if(!n){if(e=[],r=[],2===i.length&&s.Z.isArray(i[0])&&s.Z.isArray(i[1])&&i[0].length===i[1].length)for(a=0;a<i[0].length;a++)s.Z.isFunction(i[0][a])?e.push(i[0][a]()):e.push(i[0][a]),s.Z.isFunction(i[1][a])?r.push(i[1][a]()):r.push(i[1][a]);else for(a=0;a<i.length;a++)if(s.Z.isPoint(i[a]))e.push(i[a].X()),r.push(i[a].Y());else if(s.Z.isArray(i[a])&&2===i[a].length)for(h=0;h<i.length;h++)s.Z.isFunction(i[h][0])?e.push(i[h][0]()):e.push(i[h][0]),s.Z.isFunction(i[h][1])?r.push(i[h][1]()):r.push(i[h][1]);else s.Z.isFunction(i[a])&&2===i[a]().length&&(c=i[a](),e.push(c[0]),r.push(c[1]));t=l.Z.splineDef(e,r)}return l.Z.splineEval(o,e,r,t)},function(){return e[0]},function(){return e[e.length-1]}]},(r=s.Z.copyAttributes(r,e.options,"curve")).curvetype="functiongraph",a=n(),(o=new t.Z.Curve(e,["x","x",a[0],a[1],a[2]],r)).setParents(i),o.elType="spline",o},t.Z.registerElement("spline",t.Z.createSpline),t.Z.createCardinalSpline=function(e,i,r){var o,n,a,h,c,d,u,p,f,_,m="\nPossible parent types: [points:array, tau:number|function, type:string]";if(!s.Z.exists(i[0])||!s.Z.isArray(i[0]))throw new Error("JSXGraph: JXG.createCardinalSpline: argument 1 'points' has to be array of points or coordinate pairs"+m);if(!s.Z.exists(i[1])||!s.Z.isNumber(i[1])&&!s.Z.isFunction(i[1]))throw new Error("JSXGraph: JXG.createCardinalSpline: argument 2 'tau' has to be number between [0,1] or function'"+m);if(!s.Z.exists(i[2])||!s.Z.isString(i[2]))throw new Error("JSXGraph: JXG.createCardinalSpline: argument 3 'type' has to be string 'uniform' or 'centripetal'"+m);if(r=s.Z.copyAttributes(r,e.options,"curve"),(r=s.Z.copyAttributes(r,e.options,"cardinalspline")).curvetype="parameter",d=i[0],u=[],!r.isarrayofcoordinates&&2===d.length&&s.Z.isArray(d[0])&&s.Z.isArray(d[1])&&d[0].length===d[1].length)for(p=0;p<d[0].length;p++)u[p]=[],s.Z.isFunction(d[0][p])?u[p].push(d[0][p]()):u[p].push(d[0][p]),s.Z.isFunction(d[1][p])?u[p].push(d[1][p]()):u[p].push(d[1][p]);else for(p=0;p<d.length;p++)s.Z.isString(d[p])?u.push(e.select(d[p])):s.Z.isPoint(d[p])?u.push(d[p]):s.Z.isArray(d[p])&&2===d[p].length?(u[p]=[],s.Z.isFunction(d[p][0])?u[p].push(d[p][0]()):u[p].push(d[p][0]),s.Z.isFunction(d[p][1])?u[p].push(d[p][1]()):u[p].push(d[p][1])):s.Z.isFunction(d[p])&&2===d[p]().length&&u.push(i[p]());if(!0===r.createpoints)a=s.Z.providePoints(e,u,r,"cardinalspline",["points"]);else for(a=[],n=function(t){return{X:function(){return u[t][0]},Y:function(){return u[t][1]},Dist:function(t){var e=this.X()-t.X(),i=this.Y()-t.Y();return Math.sqrt(e*e+i*i)}}},p=0;p<u.length;p++)s.Z.isPoint(u[p])?a.push(u[p]):a.push(n(p));for(h=i[1],c=i[2],_=["x"].concat(l.Z.CardinalSpline(a,h,c)),o=new t.Z.Curve(e,_,r),f=a.length,o.setParents(a),p=0;p<f;p++)d=a[p],s.Z.isPoint(d)&&(s.Z.exists(d._is_new)?(o.addChild(d),delete d._is_new):d.addChild(o));return o.elType="cardinalspline",o},t.Z.registerElement("cardinalspline",t.Z.createCardinalSpline),t.Z.createMetapostSpline=function(e,i,r){var o,n,a,h,l,c,d,u,p="\nPossible parent types: [points:array, controls:object";if(!s.Z.exists(i[0])||!s.Z.isArray(i[0]))throw new Error("JSXGraph: JXG.createMetapostSpline: argument 1 'points' has to be array of points or coordinate pairs"+p);if(!s.Z.exists(i[1])||!s.Z.isObject(i[1]))throw new Error("JSXGraph: JXG.createMetapostSpline: argument 2 'controls' has to be a JavaScript object'"+p);if(r=s.Z.copyAttributes(r,e.options,"curve"),(r=s.Z.copyAttributes(r,e.options,"metapostspline")).curvetype="parameter",l=i[0],c=[],!r.isarrayofcoordinates&&2===l.length&&s.Z.isArray(l[0])&&s.Z.isArray(l[1])&&l[0].length===l[1].length)for(d=0;d<l[0].length;d++)c[d]=[],s.Z.isFunction(l[0][d])?c[d].push(l[0][d]()):c[d].push(l[0][d]),s.Z.isFunction(l[1][d])?c[d].push(l[1][d]()):c[d].push(l[1][d]);else for(d=0;d<l.length;d++)s.Z.isString(l[d])?c.push(e.select(l[d])):s.Z.isPoint(l[d])?c.push(l[d]):s.Z.isArray(l[d])&&2===l[d].length?(c[d]=[],s.Z.isFunction(l[d][0])?c[d].push(l[d][0]()):c[d].push(l[d][0]),s.Z.isFunction(l[d][1])?c[d].push(l[d][1]()):c[d].push(l[d][1])):s.Z.isFunction(l[d])&&2===l[d]().length&&c.push(i[d]());if(!0===r.createpoints)a=s.Z.providePoints(e,c,r,"metapostspline",["points"]);else for(a=[],n=function(t){return{X:function(){return c[t][0]},Y:function(){return c[t][1]}}},d=0;d<c.length;d++)s.Z.isPoint(c[d])?a.push(c[d]):a.push(n);for(h=i[1],(o=new t.Z.Curve(e,["t",[],[],0,l.length-1],r)).updateDataArray=function(){var e,i,s=a.length,r=[];for(i=0;i<s;i++)r.push([a[i].X(),a[i].Y()]);e=t.Z.Math.Metapost.curve(r,h),this.dataX=e[0],this.dataY=e[1]},o.bezierDegree=3,u=a.length,o.setParents(a),d=0;d<u;d++)s.Z.isPoint(a[d])&&a[d].addChild(o);return o.elType="metapostspline",o},t.Z.registerElement("metapostspline",t.Z.createMetapostSpline),t.Z.createRiemannsum=function(t,e,i){var r,o,n,a,h,c;if((c=s.Z.copyAttributes(i,t.options,"riemannsum")).curvetype="plot",n=e[0],r=s.Z.createFunction(e[1],t,""),!s.Z.exists(r))throw new Error("JSXGraph: JXG.createRiemannsum: argument '2' n has to be number or function.\nPossible parent types: [function,n:number|function,type,start:number|function,end:number|function]");if(o=s.Z.createFunction(e[2],t,"",!1),!s.Z.exists(o))throw new Error("JSXGraph: JXG.createRiemannsum: argument 3 'type' has to be string or function.\nPossible parent types: [function,n:number|function,type,start:number|function,end:number|function]");return a=[[0],[0]].concat(e.slice(3)),(h=t.create("curve",a,c)).sum=0,h.Value=function(){return this.sum},h.updateDataArray=function(){var t=l.Z.riemann(n,r(),o(),this.minX(),this.maxX());this.dataX=t[0],this.dataY=t[1],this.sum=t[2]},h.addParentsFromJCFunctions([r,o]),h},t.Z.registerElement("riemannsum",t.Z.createRiemannsum),t.Z.createTracecurve=function(t,e,r){var o,n,a,h;if(2!==e.length)throw new Error("JSXGraph: Can't create trace curve with given parent'\nPossible parent types: [glider, point]");if(n=t.select(e[0]),a=t.select(e[1]),n.type!==i.Z.OBJECT_TYPE_GLIDER||!s.Z.isPoint(a))throw new Error("JSXGraph: Can't create trace curve with parent types '"+typeof e[0]+"' and '"+typeof e[1]+"'.\nPossible parent types: [glider, point]");return(h=s.Z.copyAttributes(r,t.options,"tracecurve")).curvetype="plot",(o=t.create("curve",[[0],[0]],h)).updateDataArray=function(){var t,e,s,r,o,l,c,d,u,p=h.numberpoints,f=n.position,_=n.slideObject,m=_.minX();for(e=(_.maxX()-m)/p,this.dataX=[],this.dataY=[],_.elementClass!==i.Z.OBJECT_CLASS_CURVE&&p++,t=0;t<p;t++){for(r in s=m+t*e,l=_.X(s)/_.Z(s),c=_.Y(s)/_.Z(s),n.setPositionDirectly(i.Z.COORDS_BY_USER,[l,c]),d=!1,this.board.objects)if(this.board.objects.hasOwnProperty(r)&&((o=this.board.objects[r])===n&&(d=!0),d&&o.needsRegularUpdate&&(u=o.visProp.trace,o.visProp.trace=!1,o.needsUpdate=!0,o.update(!0),o.visProp.trace=u,o===a)))break;this.dataX[t]=a.X(),this.dataY[t]=a.Y()}for(r in n.position=f,d=!1,this.board.objects)if(this.board.objects.hasOwnProperty(r)&&((o=this.board.objects[r])===n&&(d=!0),d&&o.needsRegularUpdate&&(u=o.visProp.trace,o.visProp.trace=!1,o.needsUpdate=!0,o.update(!0),o.visProp.trace=u,o===a)))break},o},t.Z.registerElement("tracecurve",t.Z.createTracecurve),t.Z.createStepfunction=function(t,e,i){var r,o;if(2!==e.length)throw new Error("JSXGraph: Can't create step function with given parent'\nPossible parent types: [array, array|function]");return o=s.Z.copyAttributes(i,t.options,"stepfunction"),(r=t.create("curve",e,o)).updateDataArray=function(){var t,e=0,i=this.xterm.length;if(this.dataX=[],this.dataY=[],0!==i)for(this.dataX[e]=this.xterm[0],this.dataY[e]=this.yterm[0],++e,t=1;t<i;++t)this.dataX[e]=this.xterm[t],this.dataY[e]=this.dataY[e-1],++e,this.dataX[e]=this.xterm[t],this.dataY[e]=this.yterm[t],++e},r},t.Z.registerElement("stepfunction",t.Z.createStepfunction),t.Z.createDerivative=function(t,e,r){var o,n,a,h,c;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 c=s.Z.copyAttributes(r,t.options,"curve"),n=e[0],a=l.Z.D(n.X),h=l.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()],c)).setParents(n),o},t.Z.registerElement("derivative",t.Z.createDerivative),t.Z.createCurveIntersection=function(e,i,s){var r;if(2!==i.length)throw new Error("JSXGraph: Can't create curve intersection with given parent'\nPossible parent types: [array, array|function]");return(r=e.create("curve",[[],[]],s)).updateDataArray=function(){var e=t.Z.Math.Clip.intersection(i[0],i[1],this.board);this.dataX=e[0],this.dataY=e[1]},r},t.Z.createCurveUnion=function(e,i,s){var r;if(2!==i.length)throw new Error("JSXGraph: Can't create curve union with given parent'\nPossible parent types: [array, array|function]");return(r=e.create("curve",[[],[]],s)).updateDataArray=function(){var e=t.Z.Math.Clip.union(i[0],i[1],this.board);this.dataX=e[0],this.dataY=e[1]},r},t.Z.createCurveDifference=function(e,i,s){var r;if(2!==i.length)throw new Error("JSXGraph: Can't create curve difference with given parent'\nPossible parent types: [array, array|function]");return(r=e.create("curve",[[],[]],s)).updateDataArray=function(){var e=t.Z.Math.Clip.difference(i[0],i[1],this.board);this.dataX=e[0],this.dataY=e[1]},r},t.Z.registerElement("curvedifference",t.Z.createCurveDifference),t.Z.registerElement("curveintersection",t.Z.createCurveIntersection),t.Z.registerElement("curveunion",t.Z.createCurveUnion),t.Z.createBoxPlot=function(t,e,i){var r,o,n,a=s.Z.copyAttributes(i,t.options,"boxplot");if(3!==e.length)throw new Error("JSXGraph: Can't create box plot with given parent'\nPossible parent types: [array, number|function, number|function] containing quantiles, axis, width");if(e[0].length<5)throw new Error("JSXGraph: Can't create box plot with given parent[0]'\nparent[0] has to conatin at least 5 quantiles.");for(r=t.create("curve",[[],[]],a),n=e[0].length,r.Q=[],o=0;o<n;o++)r.Q[o]=s.Z.createFunction(e[0][o],t,null,!0);return r.x=s.Z.createFunction(e[1],t,null,!0),r.w=s.Z.createFunction(e[2],t,null,!0),r.updateDataArray=function(){var t,e,i,r,o,n,a,h,l;a=s.Z.evaluate(this.visProp.smallwidth),h=s.Z.evaluate(this.visProp.dir),i=(l=this.x())-.5*this.w(),r=l-.5*this.w()*a,o=l+.5*this.w(),t=[l,r,n=l+.5*this.w()*a,l,l,i,i,o,o,l,NaN,i,o,NaN,l,l,r,n,l],e=[this.Q[0](),this.Q[0](),this.Q[0](),this.Q[0](),this.Q[1](),this.Q[1](),this.Q[3](),this.Q[3](),this.Q[1](),this.Q[1](),NaN,this.Q[2](),this.Q[2](),NaN,this.Q[3](),this.Q[4](),this.Q[4](),this.Q[4](),this.Q[4]()],"vertical"===h?(this.dataX=t,this.dataY=e):(this.dataX=e,this.dataY=t)},r.addParentsFromJCFunctions([r.Q,r.x,r.w]),r},t.Z.registerElement("boxplot",t.Z.createBoxPlot);t.Z.Curve;t.Z.createArc=function(e,r,n){var a,h,l;if(!1===(l=s.Z.providePoints(e,r,n,"arc",["center","radiusPoint","anglePoint"]))||l.length<3)throw new Error("JSXGraph: Can't create Arc with parent types '"+typeof r[0]+"' and '"+typeof r[1]+"' and '"+typeof r[2]+"'.\nPossible parent types: [point,point,point], [arc, transformation]");return h=s.Z.copyAttributes(n,e.options,"arc"),(a=e.create("curve",[[0],[0]],h)).elType="arc",a.setParents(l),a.type=i.Z.OBJECT_TYPE_ARC,a.center=l[0],a.radiuspoint=l[1],a.point2=a.radiuspoint,a.anglepoint=l[2],a.point3=a.anglepoint,s.Z.exists(a.center._is_new)?(a.addChild(a.center),delete a.center._is_new):a.center.addChild(a),s.Z.exists(a.radiuspoint._is_new)?(a.addChild(a.radiuspoint),delete a.radiuspoint._is_new):a.radiuspoint.addChild(a),s.Z.exists(a.anglepoint._is_new)?(a.addChild(a.anglepoint),delete a.anglepoint._is_new):a.anglepoint.addChild(a),a.useDirection=h.usedirection,a.updateDataArray=function(){var t,e,i,r,o,n=1,a=this.radiuspoint,h=this.center,c=this.anglepoint,d=s.Z.evaluate(this.visProp.selection);e=u.Z.rad(a,h,c),("minor"===d&&e>Math.PI||"major"===d&&e<Math.PI)&&(n=-1),this.useDirection&&(i=l[1].coords.usrCoords,r=l[3].coords.usrCoords,o=l[2].coords.usrCoords,(i[1]-o[1])*(i[2]-r[2])-(i[2]-o[2])*(i[1]-r[1])<0?(this.radiuspoint=l[1],this.anglepoint=l[2]):(this.radiuspoint=l[2],this.anglepoint=l[1])),a=a.coords.usrCoords,h=h.coords.usrCoords,c=c.coords.usrCoords,t=u.Z.bezierArc(a,h,c,!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(){return this.Radius()*u.Z.rad(this.radiuspoint,this.center,this.anglepoint)},a.hasPoint=function(t,e){var r,n,a,h,l,d,p,f=this.Radius();return s.Z.evaluate(this.visProp.hasinnerpoints)?this.hasPointSector(t,e):(s.Z.isObject(s.Z.evaluate(this.visProp.precision))?(p=this.board._inputDevice,d=s.Z.evaluate(this.visProp.precision[p])):d=this.board.options.precision.hasPoint,d/=Math.min(Math.abs(this.board.unitX),Math.abs(this.board.unitY)),n=new c.Z(i.Z.COORDS_BY_SCREEN,[t,e],this.board),this.transformations.length>0&&(this.updateTransformMatrix(),h=o.Z.inverse(this.transformMat),l=o.Z.matVecMult(h,n.usrCoords),n=new c.Z(i.Z.COORDS_BY_USER,l,this.board)),r=this.center.coords.distance(i.Z.COORDS_BY_USER,n),(a=Math.abs(r-f)<d)&&(a=u.Z.coordsOnArc(this,n)),a)},a.hasPointSector=function(t,e){var s=new c.Z(i.Z.COORDS_BY_SCREEN,[t,e],this.board),r=this.Radius(),o=this.center.coords.distance(i.Z.COORDS_BY_USER,s)<r;return o&&(o=u.Z.coordsOnArc(this,s)),o},a.getTextAnchor=function(){return this.center.coords},a.getLabelAnchor=function(){var t,e,r,o,n,a=u.Z.rad(this.radiuspoint,this.center,this.anglepoint),h=10/this.board.unitX,l=10/this.board.unitY,d=this.point2.coords.usrCoords,p=this.center.coords.usrCoords,f=d[1]-p[1],_=d[2]-p[2],m=s.Z.evaluate(this.visProp.selection),g=this.label?this.label.visProp:this.visProp.label;return("minor"===m&&a>Math.PI||"major"===m&&a<Math.PI)&&(a=-(2*Math.PI-a)),r=(t=new c.Z(i.Z.COORDS_BY_USER,[p[1]+Math.cos(.5*a)*f-Math.sin(.5*a)*_,p[2]+Math.sin(.5*a)*f+Math.cos(.5*a)*_],this.board)).usrCoords[1]-p[1],o=t.usrCoords[2]-p[2],r=r*((n=Math.sqrt(r*r+o*o))+h)/n,o=o*(n+l)/n,e=[p[1]+r,p[2]+o],g.position=u.Z.calcLabelQuadrant(u.Z.rad([1,0],[0,0],e)),new c.Z(i.Z.COORDS_BY_USER,e,this.board)},a.updateQuadraticform=H.prototype.updateQuadraticform,a.updateStdform=H.prototype.updateStdform,a.methodMap=t.Z.deepCopy(a.methodMap,{getRadius:"getRadius",radius:"Radius",center:"center",radiuspoint:"radiuspoint",anglepoint:"anglepoint",Value:"Value"}),a.prepareUpdate().update(),a},t.Z.registerElement("arc",t.Z.createArc),t.Z.createSemicircle=function(t,e,i){var r,o,n,a;if(!1===(a=s.Z.providePoints(t,e,i,"point"))||2!==a.length)throw new Error("JSXGraph: Can't create Semicircle with parent types '"+typeof e[0]+"' and '"+typeof e[1]+"'.\nPossible parent types: [point,point]");return n=s.Z.copyAttributes(i,t.options,"semicircle","center"),(o=t.create("midpoint",a,n)).dump=!1,n=s.Z.copyAttributes(i,t.options,"semicircle"),(r=t.create("arc",[o,a[1],a[0]],n)).elType="semicircle",r.setParents([a[0].id,a[1].id]),r.subs={midpoint:o},r.inherits.push(o),r.midpoint=r.center=o,r},t.Z.registerElement("semicircle",t.Z.createSemicircle),t.Z.createCircumcircleArc=function(t,e,i){var r,o,n,a;if(!1===(a=s.Z.providePoints(t,e,i,"point"))||3!==a.length)throw new Error("JSXGraph: create Circumcircle Arc with parent types '"+typeof e[0]+"' and '"+typeof e[1]+"' and '"+typeof e[2]+"'.\nPossible parent types: [point,point,point]");return n=s.Z.copyAttributes(i,t.options,"circumcirclearc","center"),(o=t.create("circumcenter",a,n)).dump=!1,(n=s.Z.copyAttributes(i,t.options,"circumcirclearc")).usedirection=!0,(r=t.create("arc",[o,a[0],a[2],a[1]],n)).elType="circumcirclearc",r.setParents([a[0].id,a[1].id,a[2].id]),r.subs={center:o},r.inherits.push(o),r.center=o,r},t.Z.registerElement("circumcirclearc",t.Z.createCircumcircleArc),t.Z.createMinorArc=function(e,i,s){return s.selection="minor",t.Z.createArc(e,i,s)},t.Z.registerElement("minorarc",t.Z.createMinorArc),t.Z.createMajorArc=function(e,i,s){return s.selection="major",t.Z.createArc(e,i,s)},t.Z.registerElement("majorarc",t.Z.createMajorArc),t.Z.createSector=function(e,r,n){var a,h,l,p,f,_,m="invalid";if(r[0].elementClass===i.Z.OBJECT_CLASS_LINE&&r[1].elementClass===i.Z.OBJECT_CLASS_LINE&&(s.Z.isArray(r[2])||s.Z.isNumber(r[2]))&&(s.Z.isArray(r[3])||s.Z.isNumber(r[3]))&&(s.Z.isNumber(r[4])||s.Z.isFunction(r[4])||s.Z.isString(r[4])))m="2lines";else{if(!1===(_=s.Z.providePoints(e,r,n,"sector",["center","radiusPoint","anglePoint"])))throw new Error("JSXGraph: Can't create Sector with parent types '"+typeof r[0]+"' and '"+typeof r[1]+"' and '"+typeof r[2]+"'.");m="3points"}if(h=s.Z.copyAttributes(n,e.options,"sector"),(a=e.create("curve",[[0],[0]],h)).type=i.Z.OBJECT_TYPE_SECTOR,a.elType="sector",a.autoRadius=function(){var t=20/a.board.unitX,e=1/0,i=50/a.board.unitX;return s.Z.isPoint(a.center)&&(e=.3333*a.center.Dist(a.point2)),Math.max(t,Math.min(e,i))},"2lines"===m)a.Radius=function(){var t=s.Z.evaluate(r[4]);return"auto"===t?this.autoRadius():t},a.line1=e.select(r[0]),a.line2=e.select(r[1]),a.line1.addChild(a),a.line2.addChild(a),a.setParents(r),a.point1={visProp:{}},a.point2={visProp:{}},a.point3={visProp:{}},p=u.Z.meetLineLine(a.line1.stdform,a.line2.stdform,0,e),s.Z.isArray(r[2])?(2===r[2].length&&(r[2]=[1].concat(r[2])),f=u.Z.projectPointToLine({coords:{usrCoords:r[2]}},a.line1,e),f=d.Z.subtract(f.usrCoords,p.usrCoords),a.direction1=o.Z.innerProduct(f,[0,a.line1.stdform[2],-a.line1.stdform[1]],3)>=0?1:-1):a.direction1=r[2]>=0?1:-1,s.Z.isArray(r[3])?(2===r[3].length&&(r[3]=[1].concat(r[3])),f=u.Z.projectPointToLine({coords:{usrCoords:r[3]}},a.line2,e),f=d.Z.subtract(f.usrCoords,p.usrCoords),a.direction2=o.Z.innerProduct(f,[0,a.line2.stdform[2],-a.line2.stdform[1]],3)>=0?1:-1):a.direction2=r[3]>=0?1:-1,a.updateDataArray=function(){var t,e,s,r,n,h,l=[0,0,0];if(e=this.line1,s=this.line2,l=o.Z.crossProduct(e.stdform,s.stdform),Math.abs(l[0])>o.Z.eps*o.Z.eps&&(l[1]/=l[0],l[2]/=l[0],l[0]/=l[0]),t=this.direction1*this.Radius(),r=d.Z.add(l,[0,t*e.stdform[2],-t*e.stdform[1]]),t=this.direction2*this.Radius(),n=d.Z.add(l,[0,t*s.stdform[2],-t*s.stdform[1]]),this.point2.coords=new c.Z(i.Z.COORDS_BY_USER,r,a.board),this.point1.coords=new c.Z(i.Z.COORDS_BY_USER,l,a.board),this.point3.coords=new c.Z(i.Z.COORDS_BY_USER,n,a.board),Math.abs(r[0])<o.Z.eps||Math.abs(l[0])<o.Z.eps||Math.abs(n[0])<o.Z.eps)return this.dataX=[NaN],void(this.dataY=[NaN]);h=u.Z.bezierArc(r,l,n,!0,1),this.dataX=h[0],this.dataY=h[1],this.bezierDegree=3},a.methodMap=t.Z.deepCopy(a.methodMap,{radius:"Radius",getRadius:"Radius",setRadius:"setRadius"});else if("3points"===m){for(a.point1=_[0],a.point2=_[1],a.point3=_[2],l=0;l<3;l++)s.Z.exists(_[l]._is_new)?(a.addChild(_[l]),delete _[l]._is_new):_[l].addChild(a);a.useDirection=n.usedirection,a.setParents(_),s.Z.exists(_[3])&&(a.point4=_[3],a.point4.addChild(a)),a.methodMap=t.Z.deepCopy(a.methodMap,{arc:"arc",center:"center",radiuspoint:"radiuspoint",anglepoint:"anglepoint",radius:"Radius",getRadius:"Radius",setRadius:"setRadius"}),a.updateDataArray=function(){var t,e,i,r,o,n=this.point2,a=this.point1,h=this.point3,l=1,c=s.Z.evaluate(this.visProp.selection);if(!n.isReal||!a.isReal||!h.isReal)return this.dataX=[NaN],void(this.dataY=[NaN]);o=u.Z.rad(n,a,h),("minor"===c&&o>Math.PI||"major"===c&&o<Math.PI)&&(l=-1),this.useDirection&&s.Z.exists(this.point4)&&(e=this.point2.coords.usrCoords,i=this.point4.coords.usrCoords,r=this.point3.coords.usrCoords,(e[1]-r[1])*(e[2]-i[2])-(e[2]-r[2])*(e[1]-i[1])>=0&&(h=this.point2,n=this.point3)),n=n.coords.usrCoords,a=a.coords.usrCoords,h=h.coords.usrCoords,t=u.Z.bezierArc(n,a,h,!0,l),this.dataX=t[0],this.dataY=t[1],this.bezierDegree=3},a.Radius=function(){return this.point2.Dist(this.point1)},(h=s.Z.copyAttributes(n,e.options,"sector","arc")).withLabel=!1,h.name+="_arc",a.arc=e.create("arc",[a.point1,a.point2,a.point3],h),a.addChild(a.arc)}return a.center=a.point1,a.radiuspoint=a.point2,a.anglepoint=a.point3,a.hasPointCurve=function(t,e){var r,o,n,a,h,l,d=new c.Z(i.Z.COORDS_BY_SCREEN,[t,e],this.board),p=this.Radius(),f=this.center.coords.distance(i.Z.COORDS_BY_USER,d),_=s.Z.evaluate(this.visProp.selection);return s.Z.isObject(s.Z.evaluate(this.visProp.precision))?(h=this.board._inputDevice,a=s.Z.evaluate(this.visProp.precision[h])):a=this.board.options.precision.hasPoint,a/=Math.min(Math.abs(this.board.unitX),Math.abs(this.board.unitY)),(l=Math.abs(f-p)<a)&&(r=u.Z.rad(this.point2,this.center,d.usrCoords.slice(1)),o=0,n=u.Z.rad(this.point2,this.center,this.point3),("minor"===_&&n>Math.PI||"major"===_&&n<Math.PI)&&(o=n,n=2*Math.PI),(r<o||r>n)&&(l=!1)),l},a.hasPointSector=function(t,e){var r,o,n,a=new c.Z(i.Z.COORDS_BY_SCREEN,[t,e],this.board),h=this.Radius(),l=this.point1.coords.distance(i.Z.COORDS_BY_USER,a)<h,d=s.Z.evaluate(this.visProp.selection);return l&&(r=u.Z.rad(this.radiuspoint,this.center,a.usrCoords.slice(1)),o=0,n=u.Z.rad(this.radiuspoint,this.center,this.anglepoint),("minor"===d&&n>Math.PI||"major"===d&&n<Math.PI)&&(o=n,n=2*Math.PI),(r<o||r>n)&&(l=!1)),l},a.hasPoint=function(t,e){return s.Z.evaluate(this.visProp.highlightonsector)||s.Z.evaluate(this.visProp.hasinnerpoints)?this.hasPointSector(t,e):this.hasPointCurve(t,e)},a.getTextAnchor=function(){return this.point1.coords},a.getLabelAnchor=function(){var t,e,r,o,n,a=u.Z.rad(this.point2,this.point1,this.point3),h=13/this.board.unitX,l=13/this.board.unitY,d=this.point2.coords.usrCoords,p=this.point1.coords.usrCoords,f=d[1]-p[1],_=d[2]-p[2],m=s.Z.evaluate(this.visProp.selection),g=this.label?this.label.visProp:this.visProp.label;return("minor"===m&&a>Math.PI||"major"===m&&a<Math.PI)&&(a=-(2*Math.PI-a)),r=(t=new c.Z(i.Z.COORDS_BY_USER,[p[1]+Math.cos(.5*a)*f-Math.sin(.5*a)*_,p[2]+Math.sin(.5*a)*f+Math.cos(.5*a)*_],this.board)).usrCoords[1]-p[1],o=t.usrCoords[2]-p[2],r=r*((n=Math.sqrt(r*r+o*o))+h)/n,o=o*(n+l)/n,e=[p[1]+r,p[2]+o],g.position=u.Z.calcLabelQuadrant(u.Z.rad([1,0],[0,0],e)),new c.Z(i.Z.COORDS_BY_USER,e,this.board)},a.setRadius=function(t){var e=s.Z.evaluate(t);"undefined"!==("auto"===t||"auto"===e?"auto":s.Z.isNumber(t)?"number":s.Z.isFunction(t)&&!s.Z.isString(e)?"function":"undefined")&&(this.visProp.radius=t),a.Radius=function(){var e=s.Z.evaluate(t);return"auto"===e?this.autoRadius():e}},a.getRadius=function(){return t.Z.deprecated("Sector.getRadius()","Sector.Radius()"),this.Radius()},"3points"===m&&(a.setPositionDirectly=function(t,e,i){var s,r=new c.Z(t,e,this.board),o=new c.Z(t,i,this.board);return a.point1.draggable()&&a.point2.draggable()&&a.point3.draggable()?(s=d.Z.subtract(r.usrCoords,o.usrCoords),this.board.create("transform",s.slice(1),{type:"translate"}).applyOnce([a.point1,a.point2,a.point3]),this):this}),a.prepareUpdate().update(),a},t.Z.registerElement("sector",t.Z.createSector),t.Z.createCircumcircleSector=function(t,e,i){var r,o,n,a;if(!1===(a=s.Z.providePoints(t,e,i,"point")))throw new Error("JSXGraph: Can't create circumcircle sector with parent types '"+typeof e[0]+"' and '"+typeof e[1]+"' and '"+typeof e[2]+"'.");return(o=t.create("circumcenter",a.slice(0,3),n)).dump=!1,n=s.Z.copyAttributes(i,t.options,"circumcirclesector"),(r=t.create("sector",[o,a[0],a[2],a[1]],n)).elType="circumcirclesector",r.setParents(a),r.center=o,r.subs={center:o},r},t.Z.registerElement("circumcirclesector",t.Z.createCircumcircleSector),t.Z.createMinorSector=function(e,i,s){return s.selection="minor",t.Z.createSector(e,i,s)},t.Z.registerElement("minorsector",t.Z.createMinorSector),t.Z.createMajorSector=function(e,i,s){return s.selection="major",t.Z.createSector(e,i,s)},t.Z.registerElement("majorsector",t.Z.createMajorSector),t.Z.createAngle=function(t,e,r){var n,a,h,l,d,p,f="invalid";if(e[0].elementClass===i.Z.OBJECT_CLASS_LINE&&e[1].elementClass===i.Z.OBJECT_CLASS_LINE&&(s.Z.isArray(e[2])||s.Z.isNumber(e[2]))&&(s.Z.isArray(e[3])||s.Z.isNumber(e[3])))f="2lines";else{if(h={name:""},!1===(p=s.Z.providePoints(t,e,h,"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(h=s.Z.copyAttributes(r,t.options,"angle"),s.Z.exists(h.name)&&""!==h.name||(h.name=t.generateName({type:i.Z.OBJECT_TYPE_ANGLE})),a=s.Z.exists(h.radius)?h.radius:0,"2lines"===f?(e.push(a),(n=t.create("sector",e,h)).updateDataArraySector=n.updateDataArray,n.setAngle=function(t){},n.free=function(t){}):((n=t.create("sector",[p[1],p[0],p[2]],h)).arc.visProp.priv=!0,n.point=n.point2=n.radiuspoint=p[0],n.pointsquare=n.point3=n.anglepoint=p[2],n.Radius=function(){var t=s.Z.evaluate(a);return"auto"===t?n.autoRadius():t},n.updateDataArraySector=function(){var t,e,i=this.point2,r=this.point1,o=this.point3,n=this.Radius(),a=r.Dist(i),h=1,l=s.Z.evaluate(this.visProp.selection);e=u.Z.rad(i,r,o),("minor"===l&&e>Math.PI||"major"===l&&e<Math.PI)&&(h=-1),i=i.coords.usrCoords,r=r.coords.usrCoords,o=o.coords.usrCoords,i=[1,r[1]+(i[1]-r[1])*n/a,r[2]+(i[2]-r[2])*n/a],o=[1,r[1]+(o[1]-r[1])*n/a,r[2]+(o[2]-r[2])*n/a],t=u.Z.bezierArc(i,r,o,!0,h),this.dataX=t[0],this.dataY=t[1],this.bezierDegree=3},n.setAngle=function(t){var e,i,r,n=this.anglepoint,a=this.radiuspoint;return n.draggable()&&(e=this.board.create("transform",[t,this.center],{type:"rotate"}),n.addTransform(a,e),e.update(),n.moveTo(o.Z.matVecMult(e.matrix,a.coords.usrCoords)),r=s.Z.isFunction(t)?function(){return 2*Math.PI-t()}:function(){return 2*Math.PI-t},i=this.board.create("transform",[r,this.center],{type:"rotate"}),n.coords.on("update",(function(){i.update(),a.moveTo(o.Z.matVecMult(i.matrix,n.coords.usrCoords))})),n.setParents(a)),this},n.free=function(){var t=this.anglepoint;return t.transformations.length>0&&(t.transformations.pop(),t.isDraggable=!0,t.parents=[],t.coords.off("update")),this},n.setParents(p)),s.Z.exists(n.visProp.text)&&n.label.setText(s.Z.evaluate(n.visProp.text)),n.elType="angle",n.type=i.Z.OBJECT_TYPE_ANGLE,n.subs={},n.updateDataArraySquare=function(){var t,e,i,s,r,n,a,h,l=this.Radius();"2lines"===f&&this.updateDataArraySector(),t=this.point2,e=this.point1,i=this.point3,t=t.coords.usrCoords,e=e.coords.usrCoords,i=i.coords.usrCoords,s=u.Z.distance(t,e,3),r=u.Z.distance(i,e,3),t=[1,e[1]+(t[1]-e[1])*l/s,e[2]+(t[2]-e[2])*l/s],i=[1,e[1]+(i[1]-e[1])*l/r,e[2]+(i[2]-e[2])*l/r],n=o.Z.crossProduct(i,e),a=[-t[1]*n[1]-t[2]*n[2],t[0]*n[1],t[0]*n[2]],n=o.Z.crossProduct(t,e),h=[-i[1]*n[1]-i[2]*n[2],i[0]*n[1],i[0]*n[2]],(n=o.Z.crossProduct(a,h))[1]/=n[0],n[2]/=n[0],this.dataX=[e[1],t[1],n[1],i[1],e[1]],this.dataY=[e[2],t[2],n[2],i[2],e[2]],this.bezierDegree=1},n.updateDataArrayNone=function(){this.dataX=[NaN],this.dataY=[NaN],this.bezierDegree=1},n.updateDataArray=function(){var t=s.Z.evaluate(this.visProp.type),e=u.Z.trueAngle(this.point2,this.point1,this.point3),i=s.Z.evaluate(this.visProp.selection);("minor"===i&&e>180||"major"===i&&e<180)&&(e=360-e),Math.abs(e-90)<s.Z.evaluate(this.visProp.orthosensitivity)+o.Z.eps&&(t=s.Z.evaluate(this.visProp.orthotype)),"none"===t?this.updateDataArrayNone():"square"===t?this.updateDataArraySquare():"sector"===t?this.updateDataArraySector():"sectordot"===t&&(this.updateDataArraySector(),this.dot.visProp.visible||this.dot.setAttribute({visible:!0})),(!this.visProp.visible||"sectordot"!==t&&this.dot.visProp.visible)&&this.dot.setAttribute({visible:!1})},l=s.Z.copyAttributes(r,t.options,"angle","dot"),n.dot=t.create("point",[function(){var t,e,i,r,a,h,l,c,d;return s.Z.exists(n.dot)&&!n.dot.visProp.visible?[0,0]:(t=n.point2.coords.usrCoords,e=n.point1.coords.usrCoords,i=n.Radius(),r=u.Z.distance(t,e,3),a=u.Z.rad(n.point2,n.point1,n.point3),("minor"===(d=s.Z.evaluate(n.visProp.selection))&&a>Math.PI||"major"===d&&a<Math.PI)&&(a=-(2*Math.PI-a)),a*=.5,h=Math.cos(a),l=Math.sin(a),t=[1,e[1]+(t[1]-e[1])*i/r,e[2]+(t[2]-e[2])*i/r],c=[[1,0,0],[e[1]-.5*e[1]*h+.5*e[2]*l,.5*h,.5*-l],[e[2]-.5*e[1]*l-.5*e[2]*h,.5*l,.5*h]],o.Z.matVecMult(c,t))}],l),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 n.getLabelAnchor=function(){var t,e,r,a,h,l,d,p,f,_=12,m=s.Z.evaluate(n.visProp.selection),g=this.label?this.label.visProp:this.visProp.label;return s.Z.exists(this.label)&&s.Z.exists(this.label.visProp.fontsize)&&(_=s.Z.evaluate(this.label.visProp.fontsize)),_/=this.board.unitX,e=n.point2.coords.usrCoords,r=n.point1.coords.usrCoords,a=n.Radius(),h=u.Z.distance(e,r,3),l=u.Z.rad(n.point2,n.point1,n.point3),("minor"===m&&l>Math.PI||"major"===m&&l<Math.PI)&&(l=-(2*Math.PI-l)),l*=.5,d=Math.cos(l),p=Math.sin(l),e=[1,r[1]+(e[1]-r[1])*a/h,r[2]+(e[2]-r[2])*a/h],f=[[1,0,0],[r[1]-.5*r[1]*d+.5*r[2]*p,.5*d,.5*-p],[r[2]-.5*r[1]*p-.5*r[2]*d,.5*p,.5*d]],(t=o.Z.matVecMult(f,e))[1]/=t[0],t[2]/=t[0],t[0]/=t[0],h=u.Z.distance(t,r,3),t=[t[0],r[1]+(t[1]-r[1])*(a+_)/h,r[2]+(t[2]-r[2])*(a+_)/h],g.position=u.Z.calcLabelQuadrant(u.Z.rad([1,0],[0,0],t)),new c.Z(i.Z.COORDS_BY_USER,t,this.board)},n.Value=function(){return u.Z.rad(this.point2,this.point1,this.point3)},n.methodMap=s.Z.deepCopy(n.methodMap,{Value:"Value",setAngle:"setAngle",free:"free"}),n},t.Z.registerElement("angle",t.Z.createAngle),t.Z.createNonreflexAngle=function(e,i,r){var o;return r.selection="minor",r=s.Z.copyAttributes(r,e.options,"nonreflexangle"),(o=t.Z.createAngle(e,i,r)).Value=function(){var t=u.Z.rad(this.point2,this.point1,this.point3);return t<Math.PI?t:2*Math.PI-t},o},t.Z.registerElement("nonreflexangle",t.Z.createNonreflexAngle),t.Z.createReflexAngle=function(e,i,r){var o;return r.selection="major",r=s.Z.copyAttributes(r,e.options,"reflexangle"),(o=t.Z.createAngle(e,i,r)).Value=function(){var t=u.Z.rad(this.point2,this.point1,this.point3);return t>=Math.PI?t:2*Math.PI-t},o},t.Z.registerElement("reflexangle",t.Z.createReflexAngle),t.Z.createOrthogonalProjection=function(t,e,r){var o,n,a,h;if(e[0]=t.select(e[0]),e[1]=t.select(e[1]),s.Z.isPointType(t,e[0])&&e[1].elementClass===i.Z.OBJECT_CLASS_LINE)n=s.Z.providePoints(t,[e[0]],r,"point")[0],o=e[1];else{if(!s.Z.isPointType(t,e[1])||e[0].elementClass!==i.Z.OBJECT_CLASS_LINE)throw new Error("JSXGraph: Can't create perpendicular point with parent types '"+typeof e[0]+"' and '"+typeof e[1]+"'.\nPossible parent types: [point,line]");n=s.Z.providePoints(t,[e[1]],r,"point")[0],o=e[0]}return h=s.Z.copyAttributes(r,t.options,"orthogonalprojection"),a=t.create("point",[function(){return u.Z.projectPointToLine(n,o,t)}],h),s.Z.exists(n._is_new)?(a.addChild(n),delete n._is_new):n.addChild(a),o.addChild(a),a.elType="orthogonalprojection",a.setParents([n.id,a.id]),a.update(),a.generatePolynomial=function(){var t=o.point1.symbolic.x,e=o.point1.symbolic.y,i=o.point2.symbolic.x,s=o.point2.symbolic.y,r=n.symbolic.x,h=n.symbolic.y,l=a.symbolic.x,c=a.symbolic.y;return["("+e+")*("+l+")-("+e+")*("+i+")+("+c+")*("+i+")-("+t+")*("+c+")+("+t+")*("+s+")-("+l+")*("+s+")","("+h+")*("+e+")-("+h+")*("+s+")-("+c+")*("+e+")+("+c+")*("+s+")+("+r+")*("+t+")-("+r+")*("+i+")-("+l+")*("+t+")+("+l+")*("+i+")"]},a},t.Z.createPerpendicular=function(e,r,o){var n,a,h,l;if(r[0]=e.select(r[0]),r[1]=e.select(r[1]),s.Z.isPointType(e,r[0])&&r[1].elementClass===i.Z.OBJECT_CLASS_LINE)a=r[1],n=s.Z.providePoints(e,[r[0]],o,"point")[0];else{if(!s.Z.isPointType(e,r[1])||r[0].elementClass!==i.Z.OBJECT_CLASS_LINE)throw new Error("JSXGraph: Can't create perpendicular with parent types '"+typeof r[0]+"' and '"+typeof r[1]+"'.\nPossible parent types: [line,point]");a=r[0],n=s.Z.providePoints(e,[r[1]],o,"point")[0]}return l=s.Z.copyAttributes(o,e.options,"perpendicular"),(h=t.Z.createLine(e,[function(){return a.stdform[2]*n.X()-a.stdform[1]*n.Y()},function(){return-a.stdform[2]*n.Z()},function(){return a.stdform[1]*n.Z()}],l)).elType="perpendicular",h.setParents([a.id,n.id]),s.Z.exists(n._is_new)?(h.addChild(n),delete n._is_new):n.addChild(h),a.addChild(h),h},t.Z.createPerpendicularPoint=function(t,e,r){var o,n,a;if(e[0]=t.select(e[0]),e[1]=t.select(e[1]),s.Z.isPointType(t,e[0])&&e[1].elementClass===i.Z.OBJECT_CLASS_LINE)n=s.Z.providePoints(t,[e[0]],r,"point")[0],o=e[1];else{if(!s.Z.isPointType(t,e[1])||e[0].elementClass!==i.Z.OBJECT_CLASS_LINE)throw new Error("JSXGraph: Can't create perpendicular point with parent types '"+typeof e[0]+"' and '"+typeof e[1]+"'.\nPossible parent types: [point,line]");n=s.Z.providePoints(t,[e[1]],r,"point")[0],o=e[0]}return a=t.create("point",[function(){return u.Z.perpendicular(o,n,t)[0]}],r),s.Z.exists(n._is_new)?(a.addChild(n),delete n._is_new):n.addChild(a),o.addChild(a),a.elType="perpendicularpoint",a.setParents([n.id,o.id]),a.update(),a.generatePolynomial=function(){var t=o.point1.symbolic.x,e=o.point1.symbolic.y,i=o.point2.symbolic.x,s=o.point2.symbolic.y,r=n.symbolic.x,h=n.symbolic.y,l=a.symbolic.x,c=a.symbolic.y;return["("+e+")*("+l+")-("+e+")*("+i+")+("+c+")*("+i+")-("+t+")*("+c+")+("+t+")*("+s+")-("+l+")*("+s+")","("+h+")*("+e+")-("+h+")*("+s+")-("+c+")*("+e+")+("+c+")*("+s+")+("+r+")*("+t+")-("+r+")*("+i+")-("+l+")*("+t+")+("+l+")*("+i+")"]},a},t.Z.createPerpendicularSegment=function(e,r,o){var n,a,h,l,c;if(r[0]=e.select(r[0]),r[1]=e.select(r[1]),s.Z.isPointType(e,r[0])&&r[1].elementClass===i.Z.OBJECT_CLASS_LINE)a=r[1],n=s.Z.providePoints(e,[r[0]],o,"point")[0];else{if(!s.Z.isPointType(e,r[1])||r[0].elementClass!==i.Z.OBJECT_CLASS_LINE)throw new Error("JSXGraph: Can't create perpendicular with parent types '"+typeof r[0]+"' and '"+typeof r[1]+"'.\nPossible parent types: [line,point]");a=r[0],n=s.Z.providePoints(e,[r[1]],o,"point")[0]}return c=s.Z.copyAttributes(o,e.options,"perpendicularsegment","point"),(l=t.Z.createPerpendicularPoint(e,[a,n],c)).dump=!1,s.Z.exists(o.layer)||(o.layer=e.options.layer.line),c=s.Z.copyAttributes(o,e.options,"perpendicularsegment"),(h=t.Z.createLine(e,[function(){return u.Z.perpendicular(a,n,e)[1]?[l,n]:[n,l]}],c)).point=l,s.Z.exists(n._is_new)?(h.addChild(n),delete n._is_new):n.addChild(h),a.addChild(h),h.elType="perpendicularsegment",h.setParents([n.id,a.id]),h.subs={point:l},h.inherits.push(l),h},t.Z.createMidpoint=function(t,e,r){var n,a,h,l,c;for(l=0;l<e.length;++l)e[l]=t.select(e[l]);if(2===e.length&&s.Z.isPointType(t,e[0])&&s.Z.isPointType(t,e[1]))e=s.Z.providePoints(t,e,r,"point"),n=e[0],a=e[1];else{if(1!==e.length||e[0].elementClass!==i.Z.OBJECT_CLASS_LINE)throw new Error("JSXGraph: Can't create midpoint.\nPossible parent types: [point,point], [line]");n=e[0].point1,a=e[0].point2}return c=s.Z.copyAttributes(r,t.options,"midpoint"),h=t.create("point",[function(){var t=n.coords.usrCoords[1]+a.coords.usrCoords[1];return isNaN(t)||Math.abs(n.coords.usrCoords[0])<o.Z.eps||Math.abs(a.coords.usrCoords[0])<o.Z.eps?NaN:.5*t},function(){var t=n.coords.usrCoords[2]+a.coords.usrCoords[2];return isNaN(t)||Math.abs(n.coords.usrCoords[0])<o.Z.eps||Math.abs(a.coords.usrCoords[0])<o.Z.eps?NaN:.5*t}],c),s.Z.exists(n._is_new)?(h.addChild(n),delete n._is_new):n.addChild(h),s.Z.exists(a._is_new)?(h.addChild(a),delete a._is_new):a.addChild(h),h.elType="midpoint",h.setParents([n.id,a.id]),h.prepareUpdate().update(),h.generatePolynomial=function(){var t=n.symbolic.x,e=n.symbolic.y,i=a.symbolic.x,s=a.symbolic.y,r=h.symbolic.x,o=h.symbolic.y;return["("+e+")*("+r+")-("+e+")*("+i+")+("+o+")*("+i+")-("+t+")*("+o+")+("+t+")*("+s+")-("+r+")*("+s+")","("+t+")^2 - 2*("+t+")*("+r+")+("+e+")^2-2*("+e+")*("+o+")-("+i+")^2+2*("+i+")*("+r+")-("+s+")^2+2*("+s+")*("+o+")"]},h},t.Z.createParallelPoint=function(t,e,r){var o,n,a,h,l,c;for(l=0;l<e.length;++l)e[l]=t.select(e[l]);if(3===e.length&&s.Z.isPointType(t,e[0])&&s.Z.isPointType(t,e[1])&&s.Z.isPointType(t,e[2]))e=s.Z.providePoints(t,e,r,"point"),o=e[0],n=e[1],a=e[2];else if(s.Z.isPointType(t,e[0])&&e[1].elementClass===i.Z.OBJECT_CLASS_LINE)a=s.Z.providePoints(t,[e[0]],r,"point")[0],o=e[1].point1,n=e[1].point2;else{if(!s.Z.isPointType(t,e[1])||e[0].elementClass!==i.Z.OBJECT_CLASS_LINE)throw new Error("JSXGraph: Can't create parallel point with parent types '"+typeof e[0]+"', '"+typeof e[1]+"' and '"+typeof e[2]+"'.\nPossible parent types: [line,point], [point,point,point]");a=s.Z.providePoints(t,[e[1]],r,"point")[0],o=e[0].point1,n=e[0].point2}return c=s.Z.copyAttributes(r,t.options,"parallelpoint"),h=t.create("point",[function(){return a.coords.usrCoords[1]+n.coords.usrCoords[1]-o.coords.usrCoords[1]},function(){return a.coords.usrCoords[2]+n.coords.usrCoords[2]-o.coords.usrCoords[2]}],c),s.Z.exists(o._is_new)?(h.addChild(o),delete o._is_new):o.addChild(h),s.Z.exists(n._is_new)?(h.addChild(n),delete n._is_new):n.addChild(h),s.Z.exists(a._is_new)?(h.addChild(a),delete a._is_new):a.addChild(h),h.elType="parallelpoint",h.setParents([o.id,n.id,a.id]),h.prepareUpdate().update(),h.generatePolynomial=function(){var t=o.symbolic.x,e=o.symbolic.y,i=n.symbolic.x,s=n.symbolic.y,r=a.symbolic.x,l=a.symbolic.y,c=h.symbolic.x,d=h.symbolic.y;return["("+s+")*("+c+")-("+s+")*("+r+")-("+e+")*("+c+")+("+e+")*("+r+")-("+d+")*("+i+")+("+d+")*("+t+")+("+l+")*("+i+")-("+l+")*("+t+")","("+d+")*("+t+")-("+d+")*("+r+")-("+s+")*("+t+")+("+s+")*("+r+")-("+c+")*("+e+")+("+c+")*("+l+")+("+i+")*("+e+")-("+i+")*("+l+")"]},h},t.Z.createParallel=function(t,e,i){var r,n,a,h,l,c,d=1;for(l=0;l<e.length;++l)e[l]=t.select(e[l]);return r=null,3===e.length?(r=(e=s.Z.providePoints(t,e,i,"point"))[2],d=0):s.Z.isPointType(t,e[0])?(r=s.Z.providePoints(t,[e[0]],i,"point")[0],h=function(){return e[1].stdform}):s.Z.isPointType(t,e[1])&&(r=s.Z.providePoints(t,[e[1]],i,"point")[0],h=function(){return e[0].stdform}),s.Z.exists(i.layer)||(i.layer=t.options.layer.line),c=s.Z.copyAttributes(i,t.options,"parallel","point"),(n=1===d?t.create("point",[function(){return o.Z.crossProduct([1,0,0],h())}],c):t.create("parallelpoint",e,c)).isDraggable=!0,c=s.Z.copyAttributes(i,t.options,"parallel"),(a=t.create("line",[r,n],c)).elType="parallel",a.subs={point:n},a.inherits.push(n),a.setParents([e[0].id,e[1].id]),3===e.length&&a.addParents(e[2].id),a.point=n,a},t.Z.createArrowParallel=function(e,i,r){var o,n;try{return(n=s.Z.copyAttributes(r,e.options,"arrowparallel")).firstArrow=!1,n.lastArrow=!0,(o=t.Z.createParallel(e,i,n).setAttribute({straightFirst:!1,straightLast:!1})).elType="arrowparallel",o}catch(t){throw new Error("JSXGraph: Can't create arrowparallel with parent types '"+typeof i[0]+"' and '"+typeof i[1]+"'.\nPossible parent types: [line,point], [point,point,point]")}},t.Z.createNormal=function(t,e,r){var n,a,h,c,d,u,p,f,_;for(c=0;c<e.length;++c)e[c]=t.select(e[c]);if(1===e.length)n=e[0],a=n.slideObject;else{if(2!==e.length)throw new Error("JSXGraph: Can't create normal with parent types '"+typeof e[0]+"' and '"+typeof e[1]+"'.\nPossible parent types: [point,line], [point,circle], [glider]");if(s.Z.isPointType(t,e[0]))n=s.Z.providePoints(t,[e[0]],r,"point")[0],a=e[1];else{if(!s.Z.isPointType(t,e[1]))throw new Error("JSXGraph: Can't create normal with parent types '"+typeof e[0]+"' and '"+typeof e[1]+"'.\nPossible parent types: [point,line], [point,circle], [glider]");a=e[0],n=s.Z.providePoints(t,[e[1]],r,"point")[0]}}if(p=s.Z.copyAttributes(r,t.options,"normal"),a.elementClass===i.Z.OBJECT_CLASS_LINE)_=s.Z.copyAttributes(r,t.options,"normal","point"),f=t.create("point",[function(){var t=o.Z.crossProduct([1,0,0],a.stdform);return[t[0],-t[2],t[1]]}],_),f.isDraggable=!0,(h=t.create("line",[n,f],p)).point=f,h.subs={point:f},h.inherits.push(f);else if(a.elementClass===i.Z.OBJECT_CLASS_CIRCLE)h=t.create("line",[a.midpoint,n],p);else if(a.elementClass===i.Z.OBJECT_CLASS_CURVE)"plot"!==s.Z.evaluate(a.visProp.curvetype)?(d=a.X,u=a.Y,h=t.create("line",[function(){return-n.X()*l.Z.D(d)(n.position)-n.Y()*l.Z.D(u)(n.position)},function(){return l.Z.D(d)(n.position)},function(){return l.Z.D(u)(n.position)}],p)):h=t.create("line",[function(){var t,e,i,s,r,o,h,l,c,d,u=Math.floor(n.position),p=n.position-u;if(1===a.bezierdegree)u===a.numberPoints-1&&(u-=1,p=1);else{if(3!==a.bezierDegree)return 0;u=3*Math.floor(n.position*(a.numberPoints-1)/3),i=(n.position*(a.numberPoints-1)-u)/3,u>=a.numberPoints-1&&(u=a.numberPoints-4,i=1)}return u<0?1:1===a.bezierDegree?(a.Y(u)+p*(a.Y(u+1)-a.Y(u)))*(a.Y(u)-a.Y(u+1))-(a.X(u)+p*(a.X(u+1)-a.X(u)))*(a.X(u+1)-a.X(u)):(s=a.points[u].usrCoords,r=a.points[u+1].usrCoords,o=a.points[u+2].usrCoords,h=a.points[u+3].usrCoords,l=(1-i)*(1-i)*(r[1]-s[1])+2*(1-i)*i*(o[1]-r[1])+i*i*(h[1]-o[1]),c=(1-i)*(1-i)*(r[2]-s[2])+2*(1-i)*i*(o[2]-r[2])+i*i*(h[2]-o[2]),l/=d=Math.sqrt(l*l+c*c),c/=d,e=[1,(t=n.coords.usrCoords)[1]-c,t[2]+l],t[2]*e[1]-t[1]*e[2])},function(){var t,e,i,s,r,o,h,l,c,d=Math.floor(n.position);if(1===a.bezierdegree)d===a.numberPoints-1&&(d-=1);else{if(3!==a.bezierDegree)return 0;d=3*Math.floor(n.position*(a.numberPoints-1)/3),e=(n.position*(a.numberPoints-1)-d)/3,d>=a.numberPoints-1&&(d=a.numberPoints-4,e=1)}return d<0?0:1===a.bezierDegree?a.X(d+1)-a.X(d):(i=a.points[d].usrCoords,s=a.points[d+1].usrCoords,r=a.points[d+2].usrCoords,o=a.points[d+3].usrCoords,h=(1-e)*(1-e)*(s[1]-i[1])+2*(1-e)*e*(r[1]-s[1])+e*e*(o[1]-r[1]),l=(1-e)*(1-e)*(s[2]-i[2])+2*(1-e)*e*(r[2]-s[2])+e*e*(o[2]-r[2]),h/=c=Math.sqrt(h*h+l*l),l/=c,[1,(t=n.coords.usrCoords)[1]-l,t[2]+h][2]-t[2])},function(){var t,e,i,s,r,o,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),i=(n.position*(a.numberPoints-1)-u)/3,u>=a.numberPoints-1&&(u=a.numberPoints-4,i=1)}return u<0?0:1===a.bezierDegree?a.Y(u+1)-a.Y(u):(s=a.points[u].usrCoords,r=a.points[u+1].usrCoords,o=a.points[u+2].usrCoords,h=a.points[u+3].usrCoords,l=(1-i)*(1-i)*(r[1]-s[1])+2*(1-i)*i*(o[1]-r[1])+i*i*(h[1]-o[1]),c=(1-i)*(1-i)*(r[2]-s[2])+2*(1-i)*i*(o[2]-r[2])+i*i*(h[2]-o[2]),l/=d=Math.sqrt(l*l+c*c),c/=d,e=[1,(t=n.coords.usrCoords)[1]-c,t[2]+l],t[1]-e[1])}],p);else{if(a.type!==i.Z.OBJECT_TYPE_TURTLE)throw new Error("JSXGraph: Can't create normal with parent types '"+typeof e[0]+"' and '"+typeof e[1]+"'.\nPossible parent types: [point,line], [point,circle], [glider]");h=t.create("line",[function(){var t,e,s=Math.floor(n.position),r=n.position-s;for(e=0;e<a.objects.length;e++)if((t=a.objects[e]).type===i.Z.OBJECT_TYPE_CURVE){if(s<t.numberPoints)break;s-=t.numberPoints}return s===t.numberPoints-1&&(s-=1,r=1),s<0?1:(t.Y(s)+r*(t.Y(s+1)-t.Y(s)))*(t.Y(s)-t.Y(s+1))-(t.X(s)+r*(t.X(s+1)-t.X(s)))*(t.X(s+1)-t.X(s))},function(){var t,e,s=Math.floor(n.position);for(e=0;e<a.objects.length;e++)if((t=a.objects[e]).type===i.Z.OBJECT_TYPE_CURVE){if(s<t.numberPoints)break;s-=t.numberPoints}return s===t.numberPoints-1&&(s-=1),s<0?0:t.X(s+1)-t.X(s)},function(){var t,e,s=Math.floor(n.position);for(e=0;e<a.objects.length;e++)if((t=a.objects[e]).type===i.Z.OBJECT_TYPE_CURVE){if(s<t.numberPoints)break;s-=t.numberPoints}return s===t.numberPoints-1&&(s-=1),s<0?0:t.Y(s+1)-t.Y(s)}],p)}return h.elType="normal",h.setParents(e),s.Z.exists(n._is_new)?(h.addChild(n),delete n._is_new):n.addChild(h),a.addChild(h),h},t.Z.createBisector=function(e,i,r){var o,n,a,h;if(i=s.Z.providePoints(e,i,r,"point"),s.Z.isPoint(i[0])&&s.Z.isPoint(i[1])&&s.Z.isPoint(i[2])){for((h=s.Z.copyAttributes(r,e.options,"bisector","point")).snapToGrid=!1,(o=e.create("point",[function(){return u.Z.angleBisector(i[0],i[1],i[2],e)}],h)).dump=!1,a=0;a<3;a++)s.Z.exists(i[a]._is_new)?(o.addChild(i[a]),delete i[a]._is_new):i[a].addChild(o);return s.Z.exists(r.layer)||(r.layer=e.options.layer.line),h=s.Z.copyAttributes(r,e.options,"bisector"),(n=t.Z.createLine(e,[i[1],o],h)).point=o,n.elType="bisector",n.setParents(i),n.subs={point:o},n.inherits.push(o),n}throw new Error("JSXGraph: Can't create angle bisector with parent types '"+typeof i[0]+"' and '"+typeof i[1]+"'.\nPossible parent types: [point,point,point]")},t.Z.createAngularBisectorsOfTwoLines=function(t,e,r){var o,n,a,h,l=t.select(e[0]),c=t.select(e[1]);if(l.elementClass!==i.Z.OBJECT_CLASS_LINE||c.elementClass!==i.Z.OBJECT_CLASS_LINE)throw new Error("JSXGraph: Can't create angle bisectors of two lines with parent types '"+typeof e[0]+"' and '"+typeof e[1]+"'.\nPossible parent types: [line,line]");return s.Z.exists(r.layer)||(r.layer=t.options.layer.line),a=s.Z.copyAttributes(r,t.options,"bisectorlines","line1"),o=t.create("line",[function(){var t=Math.sqrt(l.stdform[1]*l.stdform[1]+l.stdform[2]*l.stdform[2]),e=Math.sqrt(c.stdform[1]*c.stdform[1]+c.stdform[2]*c.stdform[2]);return l.stdform[0]/t-c.stdform[0]/e},function(){var t=Math.sqrt(l.stdform[1]*l.stdform[1]+l.stdform[2]*l.stdform[2]),e=Math.sqrt(c.stdform[1]*c.stdform[1]+c.stdform[2]*c.stdform[2]);return l.stdform[1]/t-c.stdform[1]/e},function(){var t=Math.sqrt(l.stdform[1]*l.stdform[1]+l.stdform[2]*l.stdform[2]),e=Math.sqrt(c.stdform[1]*c.stdform[1]+c.stdform[2]*c.stdform[2]);return l.stdform[2]/t-c.stdform[2]/e}],a),s.Z.exists(r.layer)||(r.layer=t.options.layer.line),a=s.Z.copyAttributes(r,t.options,"bisectorlines","line2"),n=t.create("line",[function(){var t=Math.sqrt(l.stdform[1]*l.stdform[1]+l.stdform[2]*l.stdform[2]),e=Math.sqrt(c.stdform[1]*c.stdform[1]+c.stdform[2]*c.stdform[2]);return l.stdform[0]/t+c.stdform[0]/e},function(){var t=Math.sqrt(l.stdform[1]*l.stdform[1]+l.stdform[2]*l.stdform[2]),e=Math.sqrt(c.stdform[1]*c.stdform[1]+c.stdform[2]*c.stdform[2]);return l.stdform[1]/t+c.stdform[1]/e},function(){var t=Math.sqrt(l.stdform[1]*l.stdform[1]+l.stdform[2]*l.stdform[2]),e=Math.sqrt(c.stdform[1]*c.stdform[1]+c.stdform[2]*c.stdform[2]);return l.stdform[2]/t+c.stdform[2]/e}],a),h=new k({line1:o,line2:n}),o.dump=!1,n.dump=!1,h.elType="bisectorlines",h.setParents([l.id,c.id]),h.subs={line1:o,line2:n},h},t.Z.createCircumcenter=function(e,i,r){var o,n,a,h,l;if(i=s.Z.providePoints(e,i,r,"point"),s.Z.isPoint(i[0])&&s.Z.isPoint(i[1])&&s.Z.isPoint(i[2])){for(a=i[0],h=i[1],l=i[2],o=t.Z.createPoint(e,[function(){return u.Z.circumcenter(a,h,l,e)}],r),n=0;n<3;n++)s.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=h.symbolic.x,s=h.symbolic.y,r=l.symbolic.x,n=l.symbolic.y,c=o.symbolic.x,d=o.symbolic.y;return[["((",c,")-(",t,"))^2+((",d,")-(",e,"))^2-((",c,")-(",i,"))^2-((",d,")-(",s,"))^2"].join(""),["((",c,")-(",t,"))^2+((",d,")-(",e,"))^2-((",c,")-(",r,"))^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,r){var o,n,a,h,l;if(!((e=s.Z.providePoints(t,e,r,"point")).length>=3&&s.Z.isPoint(e[0])&&s.Z.isPoint(e[1])&&s.Z.isPoint(e[2])))throw new Error("JSXGraph: Can't create incenter with parent types '"+typeof e[0]+"', '"+typeof e[1]+"' and '"+typeof e[2]+"'.\nPossible parent types: [point,point,point]");for(n=e[0],a=e[1],h=e[2],o=t.create("point",[function(){var e,s,r;return 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[point,point,point]");try{for(a=s.Z.copyAttributes(r,e.options,"circumcircle","center"),(o=t.Z.createCircumcenter(e,i,a)).dump=!1,s.Z.exists(r.layer)||(r.layer=e.options.layer.circle),a=s.Z.copyAttributes(r,e.options,"circumcircle"),(n=t.Z.createCircle(e,[o,i[0]],a)).elType="circumcircle",n.setParents(i),n.subs={center:o},n.inherits.push(n),h=0;h<3;h++)s.Z.exists(i[h]._is_new)?(n.addChild(i[h]),delete i[h]._is_new):i[h].addChild(n)}catch(t){throw new Error("JSXGraph: Can't create circumcircle with parent types '"+typeof i[0]+"', '"+typeof i[1]+"' and '"+typeof i[2]+"'.\nPossible parent types: [point,point,point]")}return n},t.Z.createIncircle=function(e,i,r){var o,n,a,h;if(!1===(i=s.Z.providePoints(e,i,r,"point")))throw new Error("JSXGraph: Can't create circumcircle with parent types '"+typeof i[0]+"', '"+typeof i[1]+"' and '"+typeof i[2]+"'.\nPossible parent types: [point,point,point]");try{for(h=s.Z.copyAttributes(r,e.options,"incircle","center"),(n=t.Z.createIncenter(e,i,h)).dump=!1,s.Z.exists(r.layer)||(r.layer=e.options.layer.circle),h=s.Z.copyAttributes(r,e.options,"incircle"),(a=t.Z.createCircle(e,[n,function(){var t=Math.sqrt((i[1].X()-i[2].X())*(i[1].X()-i[2].X())+(i[1].Y()-i[2].Y())*(i[1].Y()-i[2].Y())),e=Math.sqrt((i[0].X()-i[2].X())*(i[0].X()-i[2].X())+(i[0].Y()-i[2].Y())*(i[0].Y()-i[2].Y())),s=Math.sqrt((i[1].X()-i[0].X())*(i[1].X()-i[0].X())+(i[1].Y()-i[0].Y())*(i[1].Y()-i[0].Y())),r=(t+e+s)/2;return Math.sqrt((r-t)*(r-e)*(r-s)/r)}],h)).elType="incircle",a.setParents(i),o=0;o<3;o++)s.Z.exists(i[o]._is_new)?(a.addChild(i[o]),delete i[o]._is_new):i[o].addChild(a);a.center=n,a.subs={center:a.center},a.inherits.push(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 a},t.Z.createReflection=function(e,r,o){var n,a,h,l,c,d,u,p,f="\nPossible parent types: [point|line|curve|polygon|circle|arc|sector, line]";for(d=0;d<r.length;++d)r[d]=e.select(r[d]);if(u=s.Z.copyAttributes(o,e.options,"reflection"),s.Z.isPoint(r[0]))a=s.Z.providePoints(e,[r[0]],p)[0];else{if(r[0].elementClass!==i.Z.OBJECT_CLASS_CURVE&&r[0].elementClass!==i.Z.OBJECT_CLASS_LINE&&r[0].type!==i.Z.OBJECT_TYPE_POLYGON&&r[0].elementClass!==i.Z.OBJECT_CLASS_CIRCLE)throw new Error("JSXGraph: Can't create reflection element with parent types '"+typeof r[0]+"' and '"+typeof r[1]+"'."+f);a=r[0]}if(r[1].elementClass!==i.Z.OBJECT_CLASS_LINE)throw new Error("JSXGraph: Can't create reflected element with parent types '"+typeof r[0]+"' and '"+typeof r[1]+"'."+f);if(n=r[1],c=t.Z.createTransform(e,[n],{type:"reflect"}),s.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 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t=n.point1.symbolic.x,e=n.point1.symbolic.y,i=n.point2.symbolic.x,s=n.point2.symbolic.y,r=a.symbolic.x,o=a.symbolic.y,l=h.symbolic.x,c=h.symbolic.y;return[["((",c,")-(",o,"))*((",e,")-(",s,"))+((",t,")-(",i,"))*((",l,")-(",r,"))"].join(""),["((",l,")-(",t,"))^2+((",c,")-(",e,"))^2-((",r,")-(",t,"))^2-((",o,")-(",e,"))^2"].join("")]}),h},t.Z.createMirrorElement=function(e,r,o){var n,a,h,l,c,d,u,p,f="\nPossible parent types: [point|line|curve|polygon|circle|arc|sector, point]";for(a=0;a<r.length;++a)r[a]=e.select(r[a]);if(u=s.Z.copyAttributes(o,e.options,"mirrorelement"),s.Z.isPoint(r[0]))n=s.Z.providePoints(e,[r[0]],u)[0];else{if(r[0].elementClass!==i.Z.OBJECT_CLASS_CURVE&&r[0].elementClass!==i.Z.OBJECT_CLASS_LINE&&r[0].type!==i.Z.OBJECT_TYPE_POLYGON&&r[0].elementClass!==i.Z.OBJECT_CLASS_CIRCLE)throw new Error("JSXGraph: Can't create mirror element with parent types '"+typeof r[0]+"' and '"+typeof r[1]+"'."+f);n=r[0]}if(!s.Z.isPoint(r[1]))throw new Error("JSXGraph: Can't create mirror 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s.Z.exists(n._is_new)&&(l.addChild(n),delete n._is_new),h.addChild(l),l.elType="mirrorelement",l.addParents(h),l.prepareUpdate().update(),l},t.Z.createMirrorPoint=function(e,i,s){var r=t.Z.createMirrorElement(e,i,s);return r.elType="mirrorpoint",r},t.Z.createIntegral=function(e,r,o){var n,a,h,d,u,p,f,_,m,g,b,v,Z,C,y,P=null;if(s.Z.isArray(r[0])&&r[1].elementClass===i.Z.OBJECT_CLASS_CURVE)n=r[0],a=r[1];else{if(!s.Z.isArray(r[1])||r[0].elementClass!==i.Z.OBJECT_CLASS_CURVE)throw new Error("JSXGraph: Can't create integral with parent types '"+typeof r[0]+"' and '"+typeof r[1]+"'.\nPossible parent types: [[number|function,number|function],curve]");n=r[1],a=r[0]}return(h=s.Z.copyAttributes(o,e.options,"integral")).withLabel=!1,y=e.create("curve",[[0],[0]],h),d=n[0],u=n[1],s.Z.isFunction(d)?(f=function(){return a.Y(p())},d=(p=d)()):(p=d,f=a.Y(d)),s.Z.isFunction(u)?(m=function(){return a.Y(_())},u=(_=u)()):(_=u,m=a.Y(u)),h=s.Z.copyAttributes(o,e.options,"integral","curveLeft"),g=e.create("glider",[p,f,a],h),s.Z.isFunction(p)&&g.hideElement(),h=s.Z.copyAttributes(o,e.options,"integral","baseLeft"),b=e.create("point",[function(){return"y"===s.Z.evaluate(y.visProp.axis)?0:g.X()},function(){return"y"===s.Z.evaluate(y.visProp.axis)?g.Y():0}],h),h=s.Z.copyAttributes(o,e.options,"integral","curveRight"),v=e.create("glider",[_,m,a],h),s.Z.isFunction(_)&&v.hideElement(),h=s.Z.copyAttributes(o,e.options,"integral","baseRight"),Z=e.create("point",[function(){return"y"===s.Z.evaluate(y.visProp.axis)?0:v.X()},function(){return"y"===s.Z.evaluate(y.visProp.axis)?v.Y():0}],h),!1!==(h=s.Z.copyAttributes(o,e.options,"integral")).withlabel&&"y"!==h.axis&&(h=s.Z.copyAttributes(o,e.options,"integral","label"),h=s.Z.copyAttributes(h,e.options,"label"),C=function(){var t=l.Z.NewtonCotes([b.X(),Z.X()],a.Y),e=s.Z.evaluate(P.visProp.digits);return"&int; = 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t,e,i,r,o,n,h,l,c;if("y"===s.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()),r=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]&&r<=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()?(r=b.X(),o=Z.X()):(r=Z.X(),o=b.X()),t=[r,r],e=[0,a.Y(r)],i=0;i<a.numberPoints;i++)r<=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(r),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.createGrid=function(t,e,r){var o,n;return n=s.Z.copyAttributes(r,t.options,"grid"),(o=t.create("curve",[[null],[null]],n)).elType="grid",o.type=i.Z.OBJECT_TYPE_GRID,o.updateDataArray=function(){var e,r,n,a,h,l,d=s.Z.evaluate(this.visProp.gridx),u=s.Z.evaluate(this.visProp.gridy);for(h=s.Z.isArray(this.visProp.topleft)?new c.Z(s.Z.evaluate(this.visProp.tltype)||i.Z.COORDS_BY_USER,this.visProp.topleft,t):new c.Z(i.Z.COORDS_BY_SCREEN,[0,0],t),l=s.Z.isArray(this.visProp.bottomright)?new c.Z(s.Z.evaluate(this.visProp.brtype)||i.Z.COORDS_BY_USER,this.visProp.bottomright,t):new 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n,a,h;if(h=s.Z.copyAttributes(r,t.options,"inequality"),e[0].elementClass===i.Z.OBJECT_CLASS_LINE)(a=t.create("curve",[[],[]],h)).hasPoint=function(){return!1},a.updateDataArray=function(){var s,r,n,a=t.getBoundingBox(),l=h.inverse?-1:1,c=1.5*Math.max(a[2]-a[0],a[1]-a[3]),d={coords:{usrCoords:[1,(a[0]+a[2])/2,h.inverse?a[1]:a[3]]}},p=e[0].stdform.slice(1),f=p;n=1.5*Math.max(u.Z.perpendicular(e[0],d,t)[0].distance(i.Z.COORDS_BY_USER,d.coords),c),n*=l,d={coords:{usrCoords:[1,(a[0]+a[2])/2,(a[1]+a[3])/2]}},s=[1,(d=Math.abs(o.Z.innerProduct(d.coords.usrCoords,e[0].stdform,3))>=o.Z.eps?u.Z.perpendicular(e[0],d,t)[0].usrCoords:d.coords.usrCoords)[1]+p[1]*c,d[2]-p[0]*c],r=[1,d[1]-f[1]*c,d[2]+f[0]*c],this.dataX=[s[1],s[1]+p[0]*n,r[1]+f[0]*n,r[1],s[1]],this.dataY=[s[2],s[2]+p[1]*n,r[2]+f[1]*n,r[2],s[2]]};else if(e[0].elementClass===i.Z.OBJECT_CLASS_CURVE&&"functiongraph"===e[0].visProp.curvetype)(a=t.create("curve",[[],[]],h)).updateDataArray=function(){var 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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("grid",t.Z.createGrid),t.Z.registerElement("inequality",t.Z.createInequality),t.Z.createLocus=function(t,e,i){var r,o;if(!s.Z.isArray(e)||1!==e.length||!s.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],(r=t.create("curve",[[null],[null]],i)).dontCallServer=!1,r.elType="locus",r.setParents([o.id]),r.updateDataArray=function(){var e,i,s;r.board.mode>0||(e=w.generatePolynomials(t,o,!0).join("|"))!==r.spe&&(r.spe=e,i=function(t,e,i,s){var o;r.dataX=t,r.dataY=e,r.eq=i,r.ctime=s,r.generatePolynomial=(o=i,function(t){var e,i="("+t.symbolic.x+")",s="("+t.symbolic.y+")",r=[];for(e=0;e<o.length;e++)r[e]=o[e].replace(/\*\*/g,"^").replace(/x/g,i).replace(/y/g,s);return 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J.Z,s.Z.copyPrototypeMethods(t.Z.Image,G.Z,"coordsConstructor"),t.Z.extend(t.Z.Image.prototype,{hasPoint:function(t,e){var r,n,a,h,l,d,u,p,f,_=this.transformations.length;return s.Z.isObject(s.Z.evaluate(this.visProp.precision))?(h=this.board._inputDevice,l=s.Z.evaluate(this.visProp.precision[h])):l=this.board.options.precision.hasPoint,0===_?(r=t-this.coords.scrCoords[1],n=this.coords.scrCoords[2]-e,r>=-(a=l)&&r-this.size[0]<=a&&n>=-a&&n-this.size[1]<=a):(u=[(d=(d=new c.Z(i.Z.COORDS_BY_SCREEN,[t,e],this.board)).usrCoords)[0]-this.span[0][0],d[1]-this.span[0][1],d[2]-this.span[0][2]],0<=(p=(f=o.Z.innerProduct)(u,this.span[1]))&&p<=f(this.span[1],this.span[1])&&0<=(p=f(u,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 this.usrSize=[this.W(),this.H()],this.size=[Math.abs(this.usrSize[0]*this.board.unitX),Math.abs(this.usrSize[1]*this.board.unitY)],this},updateSpan:function(){var t,e,i=this.transformations.length,s=[];if(0===i)this.span=[[this.Z(),this.X(),this.Y()],[this.Z(),this.W(),0],[this.Z(),0,this.H()]];else{for(s[0]=[this.Z(),this.X(),this.Y()],s[1]=[this.Z(),this.X()+this.W(),this.Y()],s[2]=[this.Z(),this.X(),this.Y()+this.H()],t=0;t<i;t++)for(e=0;e<3;e++)s[e]=o.Z.matVecMult(this.transformations[t].matrix,s[e]);for(e=0;e<3;e++)s[e][1]/=s[e][0],s[e][2]/=s[e][0],s[e][0]/=s[e][0];for(e=1;e<3;e++)s[e][0]-=s[0][0],s[e][1]-=s[0][1],s[e][2]-=s[0][2];this.span=s}return this},addTransform:function(t){var e;if(s.Z.isArray(t))for(e=0;e<t.length;e++)this.transformations.push(t[e]);else this.transformations.push(t);return this},getParents:function(){var t=[this.url,[this.Z(),this.X(),this.Y()],this.usrSize];return 0!==this.parents.length&&(t=this.parents),t},setSize:function(t,e){return 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t=this._smax-this._smin,e=s.Z.evaluate(this.visProp.snapwidth);return-1===e?this.position*t+this._smin:Math.round((this.position*t+this._smin)/e)*e},_.methodMap=s.Z.deepCopy(_.methodMap,{Value:"Value",setValue:"setValue",smax:"_smax",smin:"_smin",setMax:"setMax",setMin:"setMin"}),_._smax=d,_._smin=h,_.setMax=function(t){return this._smax=t,this},_.setValue=function(t){var e=this._smax-this._smin;return Math.abs(e)>o.Z.eps?this.position=(t-this._smin)/e:this.position=0,this.position=Math.max(0,Math.min(1,this.position)),this},_.setMin=function(t){return this._smin=t,this},y&&(S=s.Z.copyAttributes(r,t.options,"slider","label"),v=t.create("text",[function(){return.05*(f.X()-p.X())+f.X()},function(){return.05*(f.Y()-p.Y())+f.Y()},function(){var t,e=s.Z.evaluate(_.visProp.digits),i=s.Z.evaluate(_.visProp.suffixlabel),r=s.Z.evaluate(_.visProp.unitlabel),o=s.Z.evaluate(_.visProp.postlabel);return 2===e&&2!==s.Z.evaluate(_.visProp.precision)&&(e=s.Z.evaluate(_.visProp.precision)),t=null!==i?i:_.name&&""!==_.name?_.name+" = ":"",_.useLocale()?t+=_.formatNumberLocale(_.Value(),e):t+=s.Z.toFixed(_.Value(),e),null!==r&&(t+=r),null!==o&&(t+=o),t}],S),_.label=v,_.visProp.withlabel=!0,_.hasLabel=!0),_.point1=p,_.point2=f,_.baseline=m,_.highline=g,P&&(S=s.Z.copyAttributes(r,t.options,"slider","ticks"),s.Z.exists(S.generatelabeltext)||(S.generateLabelText=function(t,e,i){var s=_.point1.Dist(_.point2),r=_._smin,n=_._smax,a=this.getDistanceFromZero(e,t)*(n-r)/s+r;return s<o.Z.eps||Math.abs(a)<o.Z.eps?"0":this.formatLabelText(a)}),2,b=t.create("ticks",[_.baseline,_.point1.Dist(p)/2,function(t){var e=_.point1.Dist(_.point2),s=_.point1.coords.distance(i.Z.COORDS_BY_USER,t);return 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c.Z(i.Z.COORDS_BY_SCREEN,e,this.board),_.moveTo([r.usrCoords[1],r.usrCoords[2]]),_.triggerEventHandlers(["drag"],[t]))})),_.prepareUpdate().update(),t.isSuspendedUpdate||(_.updateVisibility().updateRenderer(),_.baseline.updateVisibility().updateRenderer(),_.highline.updateVisibility().updateRenderer(),P&&_.ticks.updateVisibility().updateRenderer()),_},t.Z.registerElement("slider",t.Z.createSlider),t.Z.createTapemeasure=function(e,i,r){var o,n,a,h,l,c,d,u,p,f;return o=i[0],n=i[1],a=s.Z.copyAttributes(r,e.options,"tapemeasure","point1"),d=e.create("point",o,a),a=s.Z.copyAttributes(r,e.options,"tapemeasure","point2"),u=e.create("point",n,a),d.setAttribute({ignoredSnapToPoints:[u]}),u.setAttribute({ignoredSnapToPoints:[d]}),a=s.Z.copyAttributes(r,e.options,"tapemeasure"),h=a.withticks,l=a.withlabel,2===a.digits&&2!==a.precision&&a.precision,l&&(a.withlabel=!0),c=e.create("segment",[d,u],a),l&&(p=r.name&&""!==r.name?r.name+" = ":"",c.label.setText((function(){var t=s.Z.evaluate(c.label.visProp.digits);return c.label.useLocale()?p+c.label.formatNumberLocale(d.Dist(u),t):p+s.Z.toFixed(d.Dist(u),t)}))),h&&(a=s.Z.copyAttributes(r,e.options,"tapemeasure","ticks"),f=e.create("ticks",[c,.1],a),c.inherits.push(f)),c.remove=function(){h&&c.removeTicks(f),e.removeObject(u),e.removeObject(d),J.Z.prototype.remove.call(this)},c.Value=function(){return d.Dist(u)},d.dump=!1,u.dump=!1,c.elType="tapemeasure",c.getParents=function(){return[[d.X(),d.Y()],[u.X(),u.Y()]]},c.subs={point1:d,point2:u},h&&(f.dump=!1),c.methodMap=t.Z.deepCopy(c.methodMap,{Value:"Value"}),c.prepareUpdate().update(),e.isSuspendedUpdate||(c.updateVisibility().updateRenderer(),c.point1.updateVisibility().updateRenderer(),c.point2.updateVisibility().updateRenderer()),c},t.Z.registerElement("tapemeasure",t.Z.createTapemeasure),t.Z.DataSource=function(){return this.data=[],this.columnHeaders=[],this.rowHeaders=[],this},t.Z.extend(t.Z.DataSource.prototype,{loadFromArray:function(t,e,i){var r,o,n;if(s.Z.isArray(e)&&(this.columnHeaders=e,e=!1),s.Z.isArray(i)&&(this.rowHeaders=i,i=!1),this.data=[],e&&(this.columnHeaders=[]),i&&(this.rowHeaders=[]),s.Z.exists(t)){for(this.data=[],r=0;r<t.length;r++)for(this.data[r]=[],o=0;o<t[r].length;o++)n=t[r][o],parseFloat(n).toString()===n?this.data[r][o]=parseFloat(n):this.data[r][o]="-"!==n?n:NaN;if(e&&(this.columnHeaders=this.data[0].slice(1),this.data=this.data.slice(1)),i)for(this.rowHeaders=[],r=0;r<this.data.length;r++)this.rowHeaders.push(this.data[r][0]),this.data[r]=this.data[r].slice(1)}return this},loadFromTable:function(t,e,i){var r,o,n,a,h;if(s.Z.isArray(e)&&(this.columnHeaders=e,e=!1),s.Z.isArray(i)&&(this.rowHeaders=i,i=!1),this.data=[],e&&(this.columnHeaders=[]),i&&(this.rowHeaders=[]),t=document.getElementById(t),s.Z.exists(t)){for(r=t.getElementsByTagName("tr"),this.data=[],o=0;o<r.length;o++)for(a=r[o].getElementsByTagName("td"),this.data[o]=[],n=0;n<a.length;n++)h=a[n].innerHTML,parseFloat(h).toString()===h?this.data[o][n]=parseFloat(h):this.data[o][n]="-"!==h?h:NaN;if(e&&(this.columnHeaders=this.data[0].slice(1),this.data=this.data.slice(1)),i)for(this.rowHeaders=[],o=0;o<this.data.length;o++)this.rowHeaders.push(this.data[o][0]),this.data[o]=this.data[o].slice(1)}return this},addColumn:function(t,e,i){throw new Error("not implemented")},addRow:function(t,e,i){throw new Error("not implemented")},getColumn:function(t){var e,i=[];if(s.Z.isString(t))for(e=0;e<this.columnHeaders.length;e++)if(t===this.columnHeaders[e]){t=e;break}for(e=0;e<this.data.length;e++)this.data[e].length>t&&(i[e]=parseFloat(this.data[e][t]));return i},getRow:function(t){var e,i;if(s.Z.isString(t))for(i=0;i<this.rowHeaders.length;i++)if(t===this.rowHeaders[i]){t=i;break}for(e=[],i=0;i<this.data[t].length;i++)e[i]=this.data[t][i];return e}});var V=t.Z.DataSource;t.Z.Chart=function(t,e,i){var r,o,n,a,h,l;if(this.constructor(t,i),!s.Z.isArray(e)||0===e.length)throw new Error("JSXGraph: Can't create a chart without data");if(this.elements=[],s.Z.isNumber(e[0]))for(o=e,r=[],n=0;n<o.length;n++)r[n]=n+1;else if(1===e.length&&s.Z.isArray(e[0]))for(o=e[0],r=[],l=s.Z.evaluate(o).length,n=0;n<l;n++)r[n]=n+1;else 2===e.length&&(l=Math.min(e[0].length,e[1].length),r=e[0].slice(0,l),o=e[1].slice(0,l));if(s.Z.isArray(o)&&0===o.length)throw new Error("JSXGraph: Can't create charts without data.");for(h=i.chartstyle.replace(/ 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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),s.Z.exists(p.labels)&&s.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))),s.Z.isArray(p.colors)&&(u=p.colors,p.fillcolor=u[o%u.length]),_[o]=t.create("polygon",m,p),s.Z.exists(p.labels)&&s.Z.exists(p.labels[o])&&(_[o].text=n);return _},drawPoints:function(t,e,i,s){var r,o=[],n=s.infoboxarray;for(s.fixed=!0,s.name="",r=0;r<e.length;r++)s.infoboxtext=!!n&&n[r%n.length],o[r]=t.create("point",[e[r],i[r]],s);return o},drawPie:function(t,e,r){var o,n,a=[],h=[],l=(d.Z.sum(e),r.colors),u=r.highlightcolors,p=r.labels,f=r.radius||4,_=f,m=r.center||[0,0],g=m[0],b=m[1],v=function(t,i,r){return function(){var o,n,a,h=0;for(n=0;n<=t;n++)h+=parseFloat(s.Z.evaluate(e[n]));for(o=h,n=t+1;n<e.length;n++)o+=parseFloat(s.Z.evaluate(e[n]));return a=0!==o?2*Math.PI*h/o:0,_()*Math[i](a)+r}},Z=function(t,e){var r=-this.point1.coords.usrCoords[1]+this.point2.coords.usrCoords[1],o=-this.point1.coords.usrCoords[2]+this.point2.coords.usrCoords[2];s.Z.exists(this.label)&&(this.label.rendNode.style.fontSize=e*s.Z.evaluate(this.label.visProp.fontsize)+"px",this.label.fullUpdate()),this.point2.coords=new c.Z(i.Z.COORDS_BY_USER,[this.point1.coords.usrCoords[1]+r*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(!s.Z.isArray(p))for(p=[],o=0;o<e.length;o++)p[o]="";for(s.Z.isFunction(f)||(_=function(){return f}),r.highlightonsector=r.highlightonsector||!1,r.straightfirst=!1,r.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),r.name=p[o],r.withlabel=""!==r.name,r.fillcolor=l&&l[o%l.length],r.labelcolor=l&&l[o%l.length],r.highlightfillcolor=u&&u[o%u.length],h[o]=t.create("sector",[n,a[o],a[o+1]],r),r.highlightonsector&&(h[o].hasPoint=h[o].hasPointSector),r.highlightbysize&&(h[o].highlight=C,h[o].noHighlight=y);return{sectors:h,points:a,midpoint:n}},drawRadar:function(e,r,o){var n,a,h,l,d,u,p,f,_,m,g,b,v,Z,C,y,P,E,O,x,S,w,M,T,N,A,D,R,L,k,B,I,Y,j,X,U,F,J,G,z,H,W,V=r.length,$=function(){var t,e,r,o,n=s.Z.evaluate(this.visProp.label.offset).slice(0);return t=this.point1.X(),e=this.point2.X(),r=this.point1.Y(),o=this.point2.Y(),e<t&&(n[0]=-n[0]),o<r&&(n[1]=-n[1]),this.setLabelRelativeCoords(n),new c.Z(i.Z.COORDS_BY_USER,[this.point2.X(),this.point2.Y()],this.board)},q=function(t,i){var s,r,o;return s=e.create("transform",[-(C[i]-v[i]),0],{type:"translate"}),r=e.create("transform",[O/(y[i]+Z[i]-(C[i]-v[i])),1],{type:"scale"}),s.melt(r),o=e.create("transform",[t],{type:"rotate"}),s.melt(o),s};if(V<=0)throw new Error("JSXGraph radar chart: no data");if(h=o.paramarray,!s.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!==r[n].length)throw new Error("JSXGraph radar chart: use data length equal to number of params ("+r[n].length+" != "+l+")");for(d=[],u=[],a=0;a<l;a++)d[a]=r[0][a],u[a]=d[a];for(n=1;n<V;n++)for(a=0;a<l;a++)r[n][a]>d[a]&&(d[a]=r[n][a]),r[n][a]<u[a]&&(u[a]=r[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]=(d[n]-u[n])*g,m[n]=(d[n]-u[n])*b;if(v=o.startshiftarray||_,Z=o.endshiftarray||m,C=o.startarray||u,s.Z.exists(o.start))for(n=0;n<l;n++)C[n]=o.start;if(y=o.endarray||d,s.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,H=o.strokewidth||1,s.Z.exists(o.highlightonsector)||(o.highlightonsector=!1),x={name:o.name,id:o.id,strokewidth:H,polystrokewidth:o.polystrokewidth||H,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"},w=(S=o.center||[0,0])[0],M=S[1],T=e.create("point",[w,M],{name:"",fixed:!0,withlabel:!1,visible:!1}),Math.PI/2-Math.PI/l,A=N=o.startangle||0,D=[],R=[],n=0;n<l;n++)for(A+=2*Math.PI/l,k=O*Math.cos(A)+w,B=O*Math.sin(A)+M,D[n]=e.create("point",[k,B],{name:"",fixed:!0,withlabel:!1,visible:!1}),R[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}),R[n].getLabelAnchor=$,L=q(A,n),a=0;a<r.length;a++)W=r[a][n],f[a][n]=e.create("point",[W,0],{name:"",fixed:!0,withlabel:!1,visible:!1}),f[a][n].addTransform(f[a][n],L);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",[w+O+j,M+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(G=[],L=q(N+Math.PI/l,0),x.fillcolor="none",x.highlightfillcolor="none",x.strokecolor=o.strokecolor||"black",x.strokewidth=o.circlestrokewidth||.5,x.layer=0,z=(y[0]-C[0])/(J-1),n=0;n<J;n++)G[n]=e.create("point",[C[0]+n*z,0],{name:F[n],size:0,fixed:!0,withLabel:!0,visible:!0}),G[n].addTransform(G[n],L),Y[n]=e.create("circle",[T,G[n]],x)}return this.rendNode=I[0].rendNode,{circles:Y,lines:R,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,r,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(r[0]):null;if(1===r.length&&s.Z.isString(r[0])){if(s.Z.exists(P)){if(f=s.Z.copyAttributes(o,i.options,"chart"),n=(P=(new V).loadFromTable(r[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&&s.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=L.Z.hsv2rgb((h+1)/C*360,.9,.6),b&&b.length===C?f.fillcolor=b[h]:f.fillcolor=L.Z.hsv2rgb((h+1)/C*360,.9,1),v&&v.length===C?f.highlightstrokecolor=v[h]:f.highlightstrokecolor=L.Z.hsv2rgb((h+1)/C*360,.9,1),Z&&Z.length===C?f.highlightfillcolor=Z[h]:f.highlightfillcolor=L.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=s.Z.copyAttributes(o,i.options,"chart"),new t.Z.Chart(i,r,f)},t.Z.registerElement("chart",t.Z.createChart),t.Z.Legend=function(t,e,r){var o;if(this.constructor(),o=s.Z.copyAttributes(r,t.options,"legend"),this.board=t,this.coords=new c.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 J.Z,t.Z.Legend.prototype.drawVerticalLegend=function(t,e){var r,o=e.linelength||1,n=(e.rowheight||20)/this.board.unitY,a=function(){return this.setLabelRelativeCoords(this.visProp.label.offset),new c.Z(i.Z.COORDS_BY_USER,[this.point2.X(),this.point2.Y()],this.board)};for(r=0;r<this.label_array.length;r++)this.myAtts.name=this.label_array[r],this.myAtts.strokecolor=this.color_array[r%this.color_array.length],this.myAtts.highlightstrokecolor=this.color_array[r%this.color_array.length],this.myAtts.label={offset:[10,0],strokeColor:this.color_array[r%this.color_array.length],strokeWidth:this.myAtts.strokewidth},this.lines[r]=t.create("line",[[this.coords.usrCoords[1],this.coords.usrCoords[2]-r*n],[this.coords.usrCoords[1]+o,this.coords.usrCoords[2]-r*n]],this.myAtts),this.lines[r].getLabelAnchor=a,this.lines[r].prepareUpdate().update().updateVisibility(s.Z.evaluate(this.lines[r].visProp.visible)).updateRenderer()},t.Z.createLegend=function(e,i,r){var o=[0,0];if(!s.Z.exists(i)||2!==i.length)throw new Error("JSXGraph: Legend element needs two numbers as parameters");return o=i,new t.Z.Legend(e,o,r)},t.Z.registerElement("legend",t.Z.createLegend);t.Z.Chart,t.Z.Legend;t.Z.Transformation=function(t,e,s){this.elementClass=i.Z.OBJECT_CLASS_OTHER,this.type=i.Z.OBJECT_TYPE_TRANSFORMATION,this.matrix=[[1,0,0],[0,1,0],[0,0,1]],this.board=t,this.isNumericMatrix=!1,this.setMatrix(t,e,s),this.methodMap={apply:"apply",applyOnce:"applyOnce",bindTo:"bindTo",bind:"bindTo",melt:"melt"}},t.Z.Transformation.prototype={},t.Z.extend(t.Z.Transformation.prototype,{update:function(){return this},setMatrix:function(t,e,i){var r;for(this.isNumericMatrix=!0,r=0;r<i.length;r++)if("number"!=typeof i[r]){this.isNumericMatrix=!1;break}if("translate"===e){if(2!==i.length)throw new Error("JSXGraph: translate transformation needs 2 parameters.");this.evalParam=s.Z.createEvalFunction(t,i,2),this.update=function(){this.matrix[1][0]=this.evalParam(0),this.matrix[2][0]=this.evalParam(1)}}else if("scale"===e){if(2!==i.length)throw new Error("JSXGraph: scale transformation needs 2 parameters.");this.evalParam=s.Z.createEvalFunction(t,i,2),this.update=function(){this.matrix[1][1]=this.evalParam(0),this.matrix[2][2]=this.evalParam(1)}}else if("reflect"===e)i.length<4&&(i[0]=t.select(i[0])),2===i.length&&(i[1]=t.select(i[1])),4===i.length&&(this.evalParam=s.Z.createEvalFunction(t,i,4)),this.update=function(){var t,e,s,r,n,a,h,l;1===i.length?h=i[0].stdform:2===i.length?h=o.Z.crossProduct(i[1].coords.usrCoords,i[0].coords.usrCoords):4===i.length&&(h=o.Z.crossProduct([1,this.evalParam(2),this.evalParam(3)],[1,this.evalParam(0),this.evalParam(1)])),t=h[1],e=h[2],a=(l=[-(s=h[0])*t,-s*e,t*t+e*e])[2],r=l[0]/l[2],n=l[1]/l[2],t=-h[2],e=h[1],this.matrix[1][1]=(t*t-e*e)/a,this.matrix[1][2]=2*t*e/a,this.matrix[2][1]=this.matrix[1][2],this.matrix[2][2]=-this.matrix[1][1],this.matrix[1][0]=r*(1-this.matrix[1][1])-n*this.matrix[1][2],this.matrix[2][0]=n*(1-this.matrix[2][2])-r*this.matrix[2][1]};else if("rotate"===e)3===i.length?this.evalParam=s.Z.createEvalFunction(t,i,3):i.length>0&&i.length<=2&&(this.evalParam=s.Z.createEvalFunction(t,i,1),2!==i.length||s.Z.isArray(i[1])||(i[1]=t.select(i[1]))),this.update=function(){var t,e,r=this.evalParam(0),o=Math.cos(r),n=Math.sin(r);this.matrix[1][1]=o,this.matrix[1][2]=-n,this.matrix[2][1]=n,this.matrix[2][2]=o,i.length>1&&(3===i.length?(t=this.evalParam(1),e=this.evalParam(2)):s.Z.isArray(i[1])?(t=i[1][0],e=i[1][1]):(t=i[1].X(),e=i[1].Y()),this.matrix[1][0]=t*(1-o)+e*n,this.matrix[2][0]=e*(1-o)-t*n)};else if("shear"===e){if(2!==i.length)throw new Error("JSXGraph: shear transformation needs 2 parameters.");this.evalParam=s.Z.createEvalFunction(t,i,2),this.update=function(){this.matrix[1][2]=this.evalParam(0),this.matrix[2][1]=this.evalParam(1)}}else if("generic"===e){if(9!==i.length)throw new Error("JSXGraph: generic transformation needs 9 parameters.");this.evalParam=s.Z.createEvalFunction(t,i,9),this.update=function(){this.matrix[0][0]=this.evalParam(0),this.matrix[0][1]=this.evalParam(1),this.matrix[0][2]=this.evalParam(2),this.matrix[1][0]=this.evalParam(3),this.matrix[1][1]=this.evalParam(4),this.matrix[1][2]=this.evalParam(5),this.matrix[2][0]=this.evalParam(6),this.matrix[2][1]=this.evalParam(7),this.matrix[2][2]=this.evalParam(8)}}},apply:function(t,e){return this.update(),s.Z.exists(e)?o.Z.matVecMult(this.matrix,t.initialCoords.usrCoords):o.Z.matVecMult(this.matrix,t.coords.usrCoords)},applyOnce:function(t){var e,r,n;for(s.Z.isArray(t)||(t=[t]),r=t.length,n=0;n<r;n++)this.update(),e=o.Z.matVecMult(this.matrix,t[n].coords.usrCoords),t[n].coords.setCoordinates(i.Z.COORDS_BY_USER,e)},bindTo:function(t){var e,i;if(s.Z.isArray(t))for(i=t.length,e=0;e<i;e++)t[e].transformations.push(this);else t.transformations.push(this)},setProperty:function(e){t.Z.deprecated("Transformation.setProperty()","Transformation.setAttribute()")},setAttribute:function(t){},melt:function(t){var e,i,s,r,o,n,a=[];for(i=t.matrix.length,s=this.matrix[0].length,e=0;e<i;e++)a[e]=[];for(this.update(),t.update(),e=0;e<i;e++)for(n=0;n<s;n++){for(o=0,r=0;r<i;r++)o+=t.matrix[e][r]*this.matrix[r][n];a[e][n]=o}return this.update=function(){var t=this.matrix.length,i=this.matrix[0].length;for(e=0;e<t;e++)for(n=0;n<i;n++)this.matrix[e][n]=a[e][n]},this},getParents:function(){var t=[[].concat.apply([],this.matrix)];return 0!==this.parents.length&&(t=this.parents),t}}),t.Z.createTransform=function(e,i,s){return new t.Z.Transformation(e,s.type,i)},t.Z.registerElement("transform",t.Z.createTransform);t.Z.Transformation;t.Z.Turtle=function(t,e,r){var o,n,a;return this.constructor(t,r,i.Z.OBJECT_TYPE_TURTLE,i.Z.OBJECT_CLASS_OTHER),this.turtleIsHidden=!1,this.board=t,this.visProp.curveType="plot",this._attributes=s.Z.copyAttributes(this.visProp,t.options,"turtle"),delete this._attributes.id,o=0,n=0,a=90,0!==e.length&&(3===e.length?(o=e[0],n=e[1],a=e[2]):2===e.length?s.Z.isArray(e[0])?(o=e[0][0],n=e[0][1],a=e[1]):(o=e[0],n=e[1]):(o=e[0][0],n=e[0][1])),this.init(o,n,a),this.methodMap=s.Z.deepCopy(this.methodMap,{forward:"forward",fd:"forward",back:"back",bk:"back",right:"right",rt:"right",left:"left",lt:"left",penUp:"penUp",pu:"penUp",penDown:"penDown",pd:"penDown",clearScreen:"clearScreen",cs:"clearScreen",clean:"clean",setPos:"setPos",home:"home",hideTurtle:"hideTurtle",ht:"hideTurtle",showTurtle:"showTurtle",st:"showTurtle",penSize:"setPenSize",penColor:"setPenColor",getPenColor:"getPenColor",getHighlightPenColor:"getHighlightPenColor",getPenSize:"getPenSize",pushTurtle:"pushTurtle",push:"pushTurtle",popTurtle:"popTurtle",pop:"popTurtle",lookTo:"lookTo",pos:"pos",moveTo:"moveTo",X:"X",Y:"Y"}),this},t.Z.Turtle.prototype=new J.Z,t.Z.extend(t.Z.Turtle.prototype,{init:function(t,e,i){var s={fixed:!0,name:"",visible:!1,withLabel:!1};this.arrowLen=20/Math.sqrt(this.board.unitX*this.board.unitX+this.board.unitY*this.board.unitY),this.pos=[t,e],this.isPenDown=!0,this.dir=90,this.stack=[],this.objects=[],this.curve=this.board.create("curve",[[this.pos[0]],[this.pos[1]]],this._attributes),this.objects.push(this.curve),this.turtle=this.board.create("point",this.pos,s),this.objects.push(this.turtle),this.turtle2=this.board.create("point",[this.pos[0],this.pos[1]+this.arrowLen],s),this.objects.push(this.turtle2),this.visProp.arrow.lastArrow=!0,this.visProp.arrow.straightFirst=!1,this.visProp.arrow.straightLast=!1,this.arrow=this.board.create("line",[this.turtle,this.turtle2],this.visProp.arrow),this.objects.push(this.arrow),this.subs={arrow:this.arrow},this.inherits.push(this.arrow),this.right(90-i),this.board.update()},forward:function(t){if(0===t)return this;var e,i=t*Math.cos(this.dir*Math.PI/180),s=t*Math.sin(this.dir*Math.PI/180);return this.turtleIsHidden||((e=this.board.create("transform",[i,s],{type:"translate"})).applyOnce(this.turtle),e.applyOnce(this.turtle2)),this.isPenDown&&this.curve.dataX.length>=8192&&(this.curve=this.board.create("curve",[[this.pos[0]],[this.pos[1]]],this._attributes),this.objects.push(this.curve)),this.pos[0]+=i,this.pos[1]+=s,this.isPenDown&&(this.curve.dataX.push(this.pos[0]),this.curve.dataY.push(this.pos[1])),this.board.update(),this},back:function(t){return this.forward(-t)},right:function(t){(this.dir-=t,this.dir%=360,this.turtleIsHidden)||this.board.create("transform",[-t*Math.PI/180,this.turtle],{type:"rotate"}).applyOnce(this.turtle2);return this.board.update(),this},left:function(t){return this.right(-t)},penUp:function(){return this.isPenDown=!1,this},penDown:function(){return this.isPenDown=!0,this.curve=this.board.create("curve",[[this.pos[0]],[this.pos[1]]],this._attributes),this.objects.push(this.curve),this},clean:function(){var t,e;for(t=0;t<this.objects.length;t++)(e=this.objects[t]).type===i.Z.OBJECT_TYPE_CURVE&&(this.board.removeObject(e),this.objects.splice(t,1));return this.curve=this.board.create("curve",[[this.pos[0]],[this.pos[1]]],this._attributes),this.objects.push(this.curve),this.board.update(),this},clearScreen:function(){var t,e,i=this.objects.length;for(t=0;t<i;t++)e=this.objects[t],this.board.removeObject(e);return this.init(0,0,90),this},setPos:function(t,e){return s.Z.isArray(t)?this.pos=t:this.pos=[t,e],this.turtleIsHidden||(this.turtle.setPositionDirectly(i.Z.COORDS_BY_USER,[t,e]),this.turtle2.setPositionDirectly(i.Z.COORDS_BY_USER,[t,e+this.arrowLen]),this.board.create("transform",[-(this.dir-90)*Math.PI/180,this.turtle],{type:"rotate"}).applyOnce(this.turtle2)),this.curve=this.board.create("curve",[[this.pos[0]],[this.pos[1]]],this._attributes),this.objects.push(this.curve),this.board.update(),this},setPenSize:function(t){return this.curve=this.board.create("curve",[[this.pos[0]],[this.pos[1]]],this.copyAttr("strokeWidth",t)),this.objects.push(this.curve),this},setPenColor:function(t){return this.curve=this.board.create("curve",[[this.pos[0]],[this.pos[1]]],this.copyAttr("strokeColor",t)),this.objects.push(this.curve),this},getPenAttribute:function(t){var e,i=this.objects.length;return e=4===i?0:i-1,s.Z.evaluate(this.objects[e].visProp[t])},getPenSize:function(){return this.getPenAttribute("strokewidth")},getPenColor:function(){return this.getPenAttribute("strokecolor")},getHighlightPenColor:function(){return this.getPenAttribute("highlightstrokecolor")},setHighlightPenColor:function(t){return this.curve=this.board.create("curve",[[this.pos[0]],[this.pos[1]]],this.copyAttr("highlightStrokeColor",t)),this.objects.push(this.curve),this},setAttribute:function(t){var e,r,o,n=this.objects.length;for(e=0;e<n;e++)(r=this.objects[e]).type===i.Z.OBJECT_TYPE_CURVE&&r.setAttribute(t);return o=this.visProp.id,this.visProp=s.Z.deepCopy(this.curve.visProp),this.visProp.id=o,this._attributes=s.Z.deepCopy(this.visProp),delete this._attributes.id,this},copyAttr:function(t,e){return this._attributes[t.toLowerCase()]=e,this._attributes},showTurtle:function(){return this.turtleIsHidden=!1,this.arrow.setAttribute({visible:!0}),this.visProp.arrow.visible=!1,this.setPos(this.pos[0],this.pos[1]),this.board.update(),this},hideTurtle:function(){return this.turtleIsHidden=!0,this.arrow.setAttribute({visible:!1}),this.visProp.arrow.visible=!1,this.board.update(),this},home:function(){return this.pos=[0,0],this.setPos(this.pos[0],this.pos[1]),this},pushTurtle:function(){return this.stack.push([this.pos[0],this.pos[1],this.dir]),this},popTurtle:function(){var t=this.stack.pop();return this.pos[0]=t[0],this.pos[1]=t[1],this.dir=t[2],this.setPos(this.pos[0],this.pos[1]),this},lookTo:function(t){var e,i,r,o,n;return s.Z.isArray(t)?(e=this.pos[0],i=this.pos[1],r=t[0],o=t[1],n=Math.atan2(o-i,r-e),this.right(this.dir-180*n/Math.PI)):s.Z.isNumber(t)&&this.right(this.dir-t),this},moveTo:function(t){var e,i,r;return s.Z.isArray(t)&&(e=t[0]-this.pos[0],i=t[1]-this.pos[1],this.turtleIsHidden||((r=this.board.create("transform",[e,i],{type:"translate"})).applyOnce(this.turtle),r.applyOnce(this.turtle2)),this.isPenDown&&this.curve.dataX.length>=8192&&(this.curve=this.board.create("curve",[[this.pos[0]],[this.pos[1]]],this._attributes),this.objects.push(this.curve)),this.pos[0]=t[0],this.pos[1]=t[1],this.isPenDown&&(this.curve.dataX.push(this.pos[0]),this.curve.dataY.push(this.pos[1])),this.board.update()),this},fd:function(t){return this.forward(t)},bk:function(t){return this.back(t)},lt:function(t){return this.left(t)},rt:function(t){return this.right(t)},pu:function(){return this.penUp()},pd:function(){return this.penDown()},ht:function(){return this.hideTurtle()},st:function(){return this.showTurtle()},cs:function(){return this.clearScreen()},push:function(){return this.pushTurtle()},pop:function(){return this.popTurtle()},evalAt:function(t,e){var s,r,o,n,a=this.objects.length;for(s=0,r=0;s<a;s++)if((o=this.objects[s]).elementClass===i.Z.OBJECT_CLASS_CURVE){if(r<=t&&t<r+o.numberPoints)return n=t-r,o[e](n);r+=o.numberPoints}return this[e]()},X:function(t){return s.Z.exists(t)?this.evalAt(t,"X"):this.pos[0]},Y:function(t){return s.Z.exists(t)?this.evalAt(t,"Y"):this.pos[1]},Z:function(t){return 1},minX:function(){return 0},maxX:function(){var t,e=this.objects.length,s=0;for(t=0;t<e;t++)this.objects[t].elementClass===i.Z.OBJECT_CLASS_CURVE&&(s+=this.objects[t].numberPoints);return s},hasPoint:function(t,e){var s,r;for(s=0;s<this.objects.length;s++)if((r=this.objects[s]).type===i.Z.OBJECT_TYPE_CURVE&&r.hasPoint(t,e))return!0;return!1}}),t.Z.createTurtle=function(e,i,r){var o;return i=i||[],o=s.Z.copyAttributes(r,e.options,"turtle"),new t.Z.Turtle(e,i,o)},t.Z.registerElement("turtle",t.Z.createTurtle);t.Z.Turtle;t.Z.Ticks=function(t,e,r){if(this.constructor(t.board,r,i.Z.OBJECT_TYPE_TICKS,i.Z.OBJECT_CLASS_OTHER),this.line=t,this.board=this.line.board,this.fixedTicks=null,this.equidistant=!1,this.labelsData=[],s.Z.isFunction(e))throw this.ticksFunction=e,new Error("Function arguments are no longer supported.");s.Z.isArray(e)?this.fixedTicks=e:this.equidistant=!0,this.ticks=[],this.labels=[],this.labelCounter=0,this.id=this.line.addTicks(this),this.elType="ticks",this.inherits.push(this.labels),this.board.setId(this,"Ti")},t.Z.Ticks.prototype=new J.Z,t.Z.extend(t.Z.Ticks.prototype,{hasPoint:function(t,e){var r,n,a,h,l=this.ticks&&this.ticks.length||0;if(s.Z.isObject(s.Z.evaluate(this.visProp.precision))?(h=this.board._inputDevice,a=s.Z.evaluate(this.visProp.precision[h])):a=this.board.options.precision.hasPoint,a+=.5*s.Z.evaluate(this.visProp.strokewidth),!s.Z.evaluate(this.line.visProp.scalable)||this.line.elementClass===i.Z.OBJECT_CLASS_CURVE)return!1;if(0!==this.line.stdform[1]&&0!==this.line.stdform[2]&&this.line.type!==i.Z.OBJECT_TYPE_AXIS)return!1;for(r=0;r<l;r++)if((n=this.ticks[r])[2]&&!(0===this.line.stdform[1]&&Math.abs(n[0][0]-this.line.point1.coords.scrCoords[1])<o.Z.eps||0===this.line.stdform[2]&&Math.abs(n[1][0]-this.line.point1.coords.scrCoords[2])<o.Z.eps)&&(Math.abs(n[0][0]-n[0][1])>=1||Math.abs(n[1][0]-n[1][1])>=1))if(0===this.line.stdform[1]){if(Math.abs(e-.5*(n[1][0]+n[1][1]))<2*a&&n[0][0]-a<t&&t<n[0][1]+a)return!0}else if(0===this.line.stdform[2]&&Math.abs(t-.5*(n[0][0]+n[0][1]))<2*a&&n[1][0]-a<e&&e<n[1][1]+a)return!0;return!1},setPositionDirectly:function(t,e,r){var n,a,h=new c.Z(t,e,this.board),l=new c.Z(t,r,this.board),d=this.board.getBoundingBox();return this.line.type===i.Z.OBJECT_TYPE_AXIS&&s.Z.evaluate(this.line.visProp.scalable)?(Math.abs(this.line.stdform[1])<o.Z.eps&&Math.abs(h.usrCoords[1]*l.usrCoords[1])>o.Z.eps?(n=l.usrCoords[1]/h.usrCoords[1],d[0]*=n,d[2]*=n,this.board.setBoundingBox(d,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],d[3]*=a,d[1]*=a,this.board.setBoundingBox(d,this.board.keepaspectratio,"update")),this):this},calculateTicksCoordinates:function(){var t,e,r,n;if(!(this.line.elementClass===i.Z.OBJECT_CLASS_LINE&&(this.setTicksSizeVariables(),Math.abs(this.dx)<o.Z.eps&&Math.abs(this.dy)<o.Z.eps)))return t=this.getZeroCoordinates(),e=this.line.elementClass===i.Z.OBJECT_CLASS_LINE?this.getLowerAndUpperBounds(t,"ticksdistance"):{lower:this.line.minX(),upper:this.line.maxX(),a1:0,a2:0,m1:0,m2:0},"polar"===s.Z.evaluate(this.visProp.type)&&(n=this.board.getBoundingBox(),r=Math.max(Math.sqrt(n[0]*n[0]+n[1]*n[1]),Math.sqrt(n[2]*n[2]+n[3]*n[3])),e.upper=r),this.ticks=[],this.labelsData=[],this.equidistant?this.generateEquidistantTicks(t,e):this.generateFixedTicks(t,e),this},setTicksSizeVariables:function(t){var e,i,r,n,a=.5*s.Z.evaluate(this.visProp.majorheight),h=.5*s.Z.evaluate(this.visProp.minorheight);s.Z.exists(t)?(i=this.line.minX(),r=this.line.maxX(),(n=this.line.points.length)<2?(this.dxMaj=0,this.dyMaj=0):o.Z.relDif(t,i)<o.Z.eps?(this.dxMaj=this.line.points[0].usrCoords[2]-this.line.points[1].usrCoords[2],this.dyMaj=this.line.points[1].usrCoords[1]-this.line.points[0].usrCoords[1]):o.Z.relDif(t,r)<o.Z.eps?(this.dxMaj=this.line.points[n-2].usrCoords[2]-this.line.points[n-1].usrCoords[2],this.dyMaj=this.line.points[n-1].usrCoords[1]-this.line.points[n-2].usrCoords[1]):(this.dxMaj=-l.Z.D(this.line.Y)(t),this.dyMaj=l.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=Math.sqrt(this.dxMaj*this.dxMaj*this.board.unitX*this.board.unitX+this.dyMaj*this.dyMaj*this.board.unitY*this.board.unitY),this.dxMaj*=a/e*this.board.unitX,this.dyMaj*=a/e*this.board.unitY,this.dxMin*=h/e*this.board.unitX,this.dyMin*=h/e*this.board.unitY,this.minStyle=s.Z.evaluate(this.visProp.minorheight)<0?"infinite":"finite",this.majStyle=s.Z.evaluate(this.visProp.majorheight)<0?"infinite":"finite"},getZeroCoordinates:function(){var t,e,r,o,n,a,h,l,d=s.Z.evaluate(this.visProp.anchor);return this.line.elementClass===i.Z.OBJECT_CLASS_LINE?this.line.type===i.Z.OBJECT_TYPE_AXIS?u.Z.projectPointToLine({coords:{usrCoords:[1,0,0]}},this.line,this.board):(r=this.line.point1.coords.usrCoords[0],t=this.line.point1.coords.usrCoords[1],e=this.line.point1.coords.usrCoords[2],a=this.line.point2.coords.usrCoords[0],o=this.line.point2.coords.usrCoords[1],n=this.line.point2.coords.usrCoords[2],"right"===d?this.line.point2.coords:"middle"===d?new c.Z(i.Z.COORDS_BY_USER,[.5*(r+a),.5*(t+o),.5*(e+n)],this.board):s.Z.isNumber(d)?new c.Z(i.Z.COORDS_BY_USER,[r+(a-r)*d,t+(o-t)*d,e+(n-e)*d],this.board):this.line.point1.coords):(h=this.line.minX(),l=this.line.maxX(),"right"===d?l:"middle"===d?.5*(h+l):s.Z.isNumber(d)?h*(1-d)+l*d:h)},getLowerAndUpperBounds:function(t,e){var r,n,a,h,l,d,p,f,_,m,g,b,v,Z,C,y=10*o.Z.eps,P=s.Z.evaluate(this.line.visProp.straightfirst),E=s.Z.evaluate(this.line.visProp.straightlast),O=s.Z.evaluate(this.visProp.includeboundaries);return this.line.elementClass===i.Z.OBJECT_CLASS_CURVE?{lower:this.line.minX(),upper:this.line.maxX()}:(l=new c.Z(i.Z.COORDS_BY_USER,this.line.point1.coords.usrCoords,this.board),d=new c.Z(i.Z.COORDS_BY_USER,this.line.point2.coords.usrCoords,this.board),p=Math.abs(l.usrCoords[0])>=o.Z.eps&&l.scrCoords[1]>=0&&l.scrCoords[1]<=this.board.canvasWidth&&l.scrCoords[2]>=0&&l.scrCoords[2]<=this.board.canvasHeight,f=Math.abs(d.usrCoords[0])>=o.Z.eps&&d.scrCoords[1]>=0&&d.scrCoords[1]<=this.board.canvasWidth&&d.scrCoords[2]>=0&&d.scrCoords[2]<=this.board.canvasHeight,s.Z.exists(e)&&"ticksdistance"===e?(u.Z.calcStraight(this.line,l,d,0),Z=this.getDistanceFromZero(t,l),C=this.getDistanceFromZero(t,d),u.Z.calcStraight(this.line,l,d,s.Z.evaluate(this.line.visProp.margin)),Z=this.getDistanceFromZero(t,l)-Z,C=this.getDistanceFromZero(t,d).m2):u.Z.calcLineDelimitingPoints(this.line,l,d),a=s.Z.evaluate(this.line.visProp.firstarrow),h=s.Z.evaluate(this.line.visProp.lastarrow),b=this.getDistanceFromZero(t,l),v=this.getDistanceFromZero(t,d),(a||h)&&(g=this.board.renderer.getArrowHeadData(this.line,s.Z.evaluate(this.line.visProp.strokewidth),""),this.board.renderer.getPositionArrowHead(this.line,l,d,g)),(_=this.getDistanceFromZero(t,l))<(m=this.getDistanceFromZero(t,d))?(r=_,n=m,P||!p||O||(r+=y),E||!f||O||(n-=y)):m<_?(r=m,n=_,E||!f||O||(r+=y),P||!p||O||(n-=y)):(r=0,n=0),{lower:r,upper:n,a1:b=_-b,a2:v=_-v,m1:Z,m2:C})},getDistanceFromZero:function(t,e){var s,r,n,a,h;return s=this.line.point1.coords,r=this.line.point2.coords,h=t.distance(i.Z.COORDS_BY_USER,e),n=[r.usrCoords[0]-s.usrCoords[0],r.usrCoords[1]-s.usrCoords[1],r.usrCoords[2]-s.usrCoords[2]],a=[e.usrCoords[0]-t.usrCoords[0],e.usrCoords[1]-t.usrCoords[1],e.usrCoords[2]-t.usrCoords[2]],o.Z.innerProduct(n,a,3)<0&&(h*=-1),h},generateEquidistantTicks:function(t,e){var r,n,a,h=o.Z.eps,l=(s.Z.evaluate(this.visProp.minorticksinarrow),s.Z.evaluate(this.visProp.minorticksinarrow),s.Z.evaluate(this.visProp.minorticksinarrow),s.Z.evaluate(this.visProp.minorticks));if(a=this.getDistanceMajorTicks(),this.line.elementClass===i.Z.OBJECT_CLASS_LINE&&(n=this.getXandYdeltas()),a*=s.Z.evaluate(this.visProp.scale),a/=l+1,this.ticksDelta=a,!(a<o.Z.eps)){for(r=0,s.Z.evaluate(this.visProp.drawzero)||(r=a);r<=e.upper+h&&(r>=e.lower-h&&this.processTickPosition(t,r,a,n),r+=a,!(e.upper-r>1e4*a)););for(r=-a;r>=e.lower-h&&(r<=e.upper+h&&this.processTickPosition(t,r,a,n),!((r-=a)-e.lower>1e4*a)););}},getDistanceMajorTicks:function(){var t,e,i,r,o,n,a,h;return s.Z.evaluate(this.visProp.insertticks)?(n=((i=this.getLowerAndUpperBounds(this.getZeroCoordinates(),"")).upper-i.lower)/6/(o=s.Z.evaluate(this.visProp.scale)),a=s.Z.evaluate(this.visProp.minticksdistance)/o,h=s.Z.evaluate(this.visProp.minorticks),(r=this.getXandYdeltas()).x*=this.board.unitX,r.y*=this.board.unitY,a/=Math.sqrt(r.x*r.x+r.y*r.y),a*=h+1,2*(t=Math.pow(10,Math.floor(Math.log(a)/Math.LN10)))>=a?t*=2:5*t>=a&&(t*=5),5*(e=Math.pow(10,Math.floor(Math.log(n)/Math.LN10)))<n?e*=5:2*e<n&&(e*=2),t=Math.max(t,e)):s.Z.evaluate(this.visProp.ticksdistance)},processTickPosition:function(t,e,r,o){var n,a,h,l,d,u=s.Z.evaluate(this.visProp.ticksperlabel),p=null;this.line.elementClass===i.Z.OBJECT_CLASS_LINE?(n=t.usrCoords[1]+e*o.x,a=t.usrCoords[2]+e*o.y):(n=this.line.X(t+e),a=this.line.Y(t+e)),h=new c.Z(i.Z.COORDS_BY_USER,[n,a],this.board),this.line.elementClass===i.Z.OBJECT_CLASS_CURVE&&(p=t+e,this.setTicksSizeVariables(p)),h.major=Math.round(e/r)%(s.Z.evaluate(this.visProp.minorticks)+1)==0,u||(u=s.Z.evaluate(this.visProp.minorticks)+1),d=Math.round(e/r)%u==0,3===(l=this.createTickPath(h,h.major)).length&&(this.ticks.push(l),d&&s.Z.evaluate(this.visProp.drawlabels)?this.labelsData.push(this.generateLabelData(this.generateLabelText(h,t,p),h,this.ticks.length)):this.labelsData.push(null))},generateFixedTicks:function(t,e){var r,n,a,h,l,d,u,p,f=o.Z.eps,_=s.Z.isArray(this.visProp.labels),m=s.Z.evaluate(this.visProp.drawlabels);for(this.line.elementClass===i.Z.OBJECT_CLASS_LINE&&(p=this.getXandYdeltas()),a=0;a<this.fixedTicks.length;a++)this.line.elementClass===i.Z.OBJECT_CLASS_LINE?(u=this.fixedTicks[a],l=t.usrCoords[1]+u*p.x,d=t.usrCoords[2]+u*p.y):(u=t+this.fixedTicks[a],l=this.line.X(u),d=this.line.Y(u)),r=new c.Z(i.Z.COORDS_BY_USER,[l,d],this.board),this.line.elementClass===i.Z.OBJECT_CLASS_CURVE&&this.setTicksSizeVariables(u),3===(h=this.createTickPath(r,!0)).length&&u>=e.lower-f&&u<=e.upper+f&&(this.ticks.push(h),m&&(_||s.Z.exists(this.visProp.labels[a]))?(n=_?s.Z.evaluate(this.visProp.labels[a]):u,this.labelsData.push(this.generateLabelData(this.generateLabelText(r,t,n),r,a))):this.labelsData.push(null))},getXandYdeltas:function(){var t,e,s=this.line.point1.Dist(this.line.point2);return this.line.type===i.Z.OBJECT_TYPE_AXIS?(t=this.line.point1.coords.usrCoords,e=this.line.point2.coords.usrCoords,(t[1]>e[1]||Math.abs(t[1]-e[1])<o.Z.eps&&t[2]>e[2])&&(t=this.line.point2.coords.usrCoords,e=this.line.point1.coords.usrCoords)):(t=this.line.point1.coords.usrCoords,e=this.line.point2.coords.usrCoords),{x:(e[1]-t[1])/s,y:(e[2]-t[2])/s}},_isInsideCanvas:function(t,e,i){var s=this.board.canvasWidth,r=this.board.canvasHeight;return void 0===i&&(i=0),t[0]>=i&&t[0]<=s-i&&e[0]>=i&&e[0]<=r-i||t[1]>=i&&t[1]<=s-i&&e[1]>=i&&e[1]<=r-i},createTickPath:function(t,e){var i,r,n,a,h,l,c,d,p,f,_,m,g,b,v,Z,C,y=[-2e6,-2e6],P=[-2e6,-2e6];if(i=t.scrCoords,e?(a=this.dxMaj,h=this.dyMaj,p=this.majStyle,v=s.Z.evaluate(this.visProp.majortickendings[0])>0,Z=s.Z.evaluate(this.visProp.majortickendings[1])>0):(a=this.dxMin,h=this.dyMin,p=this.minStyle,v=s.Z.evaluate(this.visProp.tickendings[0])>0,Z=s.Z.evaluate(this.visProp.tickendings[1])>0),r=[-h*i[1]-a*i[2],h,a],e&&"polar"===s.Z.evaluate(this.visProp.type)){if(m=this.board.getBoundingBox(),b=(g=2*Math.PI)/180,i=t.usrCoords,(_=Math.sqrt(i[1]*i[1]+i[2]*i[2]))<Math.max(Math.sqrt(m[0]*m[0]+m[1]*m[1]),Math.sqrt(m[2]*m[2]+m[3]*m[3]))){for(y=[],P=[],f=0;f<=g;f+=b)y.push(this.board.origin.scrCoords[1]+_*Math.cos(f)*this.board.unitX),P.push(this.board.origin.scrCoords[2]+_*Math.sin(f)*this.board.unitY);return[y,P,e]}}else{if("infinite"===p){if(s.Z.evaluate(this.visProp.ignoreinfinitetickendings)&&(v=Z=!0),n=u.Z.meetLineBoard(r,this.board),v&&Z)y[0]=n[0].scrCoords[1],y[1]=n[1].scrCoords[1],P[0]=n[0].scrCoords[2],P[1]=n[1].scrCoords[2];else if((C=[o.Z.innerProduct(n[0].usrCoords.slice(1,3),this.line.stdform.slice(1,3))+this.line.stdform[0],o.Z.innerProduct(n[1].usrCoords.slice(1,3),this.line.stdform.slice(1,3))+this.line.stdform[0]])[0]<C[1]&&(n.reverse(),C.reverse()),v){if(C[0]<0)return[];C[1]<0?(y[0]=n[0].scrCoords[1],P[0]=n[0].scrCoords[2],y[1]=i[1],P[1]=i[2]):(y[0]=n[0].scrCoords[1],P[0]=n[0].scrCoords[2],y[1]=n[1].scrCoords[1],P[1]=n[1].scrCoords[2])}else if(Z){if(C[1]>0)return[];C[0]>0?(y[0]=i[1],P[0]=i[2],y[1]=n[1].scrCoords[1],P[1]=n[1].scrCoords[2]):(y[0]=n[0].scrCoords[1],P[0]=n[0].scrCoords[2],y[1]=n[1].scrCoords[1],P[1]=n[1].scrCoords[2])}}else d=">"===s.Z.evaluate(this.visProp.face)?Math.PI/4:"<"===s.Z.evaluate(this.visProp.face)?-Math.PI/4:0,l=Math.cos(d)*a-Math.sin(d)*h,c=Math.sin(d)*a+Math.cos(d)*h,y[0]=i[1]+l*v,P[0]=i[2]-c*v,y[1]=i[1],P[1]=i[2],d=-d,l=Math.cos(d)*a-Math.sin(d)*h,c=Math.sin(d)*a+Math.cos(d)*h,y[2]=i[1]-l*Z,P[2]=i[2]+c*Z;if(this._isInsideCanvas(y,P))return[y,P,e]}return[]},formatLabelText:function(t){var e,i,r=s.Z.evaluate(this.visProp.scalesymbol);return s.Z.isNumber(t)?(i=s.Z.evaluate(this.visProp.digits),this.useLocale()?e=this.formatNumberLocale(t,i):((e=(Math.round(1e11*t)/1e11).toString()).length>s.Z.evaluate(this.visProp.maxlabellength)||-1!==e.indexOf("e"))&&(3!==s.Z.evaluate(this.visProp.precision)&&3===i&&(i=s.Z.evaluate(this.visProp.precision)),e=t.toExponential(i).toString()),s.Z.evaluate(this.visProp.beautifulscientificticklabels)&&(e=this.beautifyScientificNotationLabel(e)),e.indexOf(".")>-1&&-1===e.indexOf("e")&&(e=(e=e.replace(/0+$/,"")).replace(/\.$/,""))):e=t.toString(),r.length>0&&("1"===e?e=r:"-1"===e?e="-"+r:"0"!==e&&(e+=r)),s.Z.evaluate(this.visProp.useunicodeminus)&&(e=e.replace(/-/g,"−")),e},beautifyScientificNotationLabel:function(t){return-1===t.indexOf("e")?t:(parseFloat(t.substring(0,t.indexOf("e")))+t.substring(t.indexOf("e"))).replace(/e(.*)$/g,(function(t,e){var i="•10";return i+=e.replace(/-/g,"⁻").replace(/\+/g,"").replace(/0/g,"⁰").replace(/1/g,"¹").replace(/2/g,"²").replace(/3/g,"³").replace(/4/g,"⁴").replace(/5/g,"⁵").replace(/6/g,"⁶").replace(/7/g,"⁷").replace(/8/g,"⁸").replace(/9/g,"⁹")}))},generateLabelText:function(t,e,i){var r;if(!s.Z.exists(i)){if(r=this.getDistanceFromZero(e,t),Math.abs(r)<o.Z.eps)return"0";i=r/s.Z.evaluate(this.visProp.scale)}return this.formatLabelText(i)},generateLabelData:function(t,e,i){var r,o,n,a;return a=s.Z.evaluate(this.visProp.label.fontsize),r=[e.scrCoords[1],e.scrCoords[1]],o=[e.scrCoords[2],e.scrCoords[2]],n=void 0===a?12:a,n*=.5,this._isInsideCanvas(r,o,n)?(r=s.Z.evaluate(this.visProp.label.offset[0]),o=s.Z.evaluate(this.visProp.label.offset[1]),{x:e.usrCoords[1]+r/this.board.unitX,y:e.usrCoords[2]+o/this.board.unitY,t:t,i:i}):null},update:function(){return this.needsUpdate&&0!==this.board.canvasWidth&&0!==this.board.canvasHeight&&this.calculateTicksCoordinates(),this},updateRenderer:function(){return this.needsUpdate?(this.visPropCalc.visible&&this.board.renderer.updateTicks(this),this.updateRendererLabels(),this.setDisplayRendNode(),this.needsUpdate=!1,this):this},updateRendererLabels:function(){var e,i,r,o,n,a,h,l;for(r=this.labelsData.length,o=this.labels.length,e=0,i=0;e<r;e++)null!==this.labelsData[e]&&(h=this.labelsData[e],i<o?((a=this.labels[i]).setText(h.t),a.setCoords(h.x,h.y),i++):(this.labelCounter+=1,n={isLabel:!0,layer:this.board.options.layer.line,highlightStrokeColor:this.board.options.text.strokeColor,highlightStrokeWidth:this.board.options.text.strokeWidth,highlightStrokeOpacity:this.board.options.text.strokeOpacity,priv:this.visProp.priv},(n=s.Z.deepCopy(n,this.visProp.label)).id=this.id+h.i+"Label"+this.labelCounter,a=t.Z.createText(this.board,[h.x,h.y,h.t],n),this.addChild(a),a.setParents(this),a.isDraggable=!1,a.dump=!1,this.labels.push(a)),"inherit"===(l=s.Z.evaluate(this.visProp.label.visible))&&(l=this.visPropCalc.visible),a.prepareUpdate().updateVisibility(l).updateRenderer(),a.distanceX=s.Z.evaluate(this.visProp.label.offset[0]),a.distanceY=s.Z.evaluate(this.visProp.label.offset[1]));for(i=r=i;i<o;i++)this.board.renderer.display(this.labels[i],!1),this.labels[i].visProp.visible=this.labels[i].visPropCalc.visible=!1;return this},hideElement:function(){var e;for(t.Z.deprecated("Element.hideElement()","Element.setDisplayRendNode()"),this.visPropCalc.visible=!1,this.board.renderer.display(this,!1),e=0;e<this.labels.length;e++)s.Z.exists(this.labels[e])&&this.labels[e].hideElement();return this},showElement:function(){var e;for(t.Z.deprecated("Element.showElement()","Element.setDisplayRendNode()"),this.visPropCalc.visible=!0,this.board.renderer.display(this,!1),e=0;e<this.labels.length;e++)s.Z.exists(this.labels[e])&&this.labels[e].showElement();return this}}),t.Z.createTicks=function(e,r,o){var n,a,h=s.Z.copyAttributes(o,e.options,"ticks");if(a=r.length<2?h.ticksdistance:r[1],r[0].elementClass!==i.Z.OBJECT_CLASS_LINE&&r[0].elementClass!==i.Z.OBJECT_CLASS_CURVE)throw new Error("JSXGraph: Can't create Ticks with parent types '"+typeof r[0]+"'.");return n=new t.Z.Ticks(r[0],a,h),s.Z.isFunction(h.generatelabelvalue)&&(n.generateLabelText=h.generatelabelvalue),s.Z.isFunction(h.generatelabeltext)&&(n.generateLabelText=h.generatelabeltext),n.setParents(r[0]),n.isDraggable=!0,n.fullUpdate(r[0].visPropCalc.visible),n},t.Z.createHatchmark=function(t,e,r){var o,n,a,h,l,c=[],d=s.Z.copyAttributes(r,t.options,"hatch");if(e[0].elementClass!==i.Z.OBJECT_CLASS_LINE&&e[0].elementClass!==i.Z.OBJECT_CLASS_CURVE||"number"!=typeof e[1])throw new Error("JSXGraph: Can't create Hatch mark with parent types '"+typeof e[0]+"' and '"+typeof e[1]+" and ''"+typeof e[2]+"'.");for(a=.5*-(((o=e[1])-1)*(h=d.ticksdistance)),n=0;n<o;n++)c[n]=a+n*h;return(l=t.create("ticks",[e[0],c],d)).elType="hatch",e[0].inherits.push(l),l},t.Z.registerElement("ticks",t.Z.createTicks),t.Z.registerElement("hash",t.Z.createHatchmark),t.Z.registerElement("hatch",t.Z.createHatchmark);t.Z.Ticks;t.Z.CA=function(t,e,i){this.node=t,this.createNode=e,this.parser=i},t.Z.extend(t.Z.CA.prototype,{findMapNode:function(t,e){var i,s,r;if("op_assign"===e.value&&e.children[0].value===t)return e.children[1];if(e.children)for(s=e.children.length,i=0;i<s;++i)if(null!==(r=this.findMapNode(t,e.children[i])))return r;return null},setMath:function(t){var e,i;if(("node_op"!=t.type||"op_add"!=t.value&&"op_sub"!=t.value&&"op_mul"!=t.value&&"op_div"!=t.value&&"op_neg"!=t.value&&"op_execfun"!=t.value&&"op_exp"!=t.value)&&"node_var"!=t.type&&"node_const"!=t.type||(t.isMath=!0),t.children)for(i=t.children.length,e=0;e<i;++e)this.setMath(t.children[e])},deriveElementary:function(t,e){var i,r=t.children[0].value,o=t.children[1];switch(r){case"abs":i=this.createNode("node_op","op_div",o[0],this.createNode("node_op","op_execfun",this.createNode("node_var","sqrt"),[this.createNode("node_op","op_mul",s.Z.deepCopy(o[0]),s.Z.deepCopy(o[0]))]));break;case"sqrt":i=this.createNode("node_op","op_div",this.createNode("node_const",1),this.createNode("node_op","op_mul",this.createNode("node_const",2),this.createNode(t.type,t.value,s.Z.deepCopy(t.children[0]),s.Z.deepCopy(t.children[1]))));break;case"sin":i=this.createNode("node_op","op_execfun",this.createNode("node_var","cos"),s.Z.deepCopy(o));break;case"cos":i=this.createNode("node_op","op_neg",this.createNode("node_op","op_execfun",this.createNode("node_var","sin"),s.Z.deepCopy(o)));break;case"tan":i=this.createNode("node_op","op_div",this.createNode("node_const",1),this.createNode("node_op","op_exp",this.createNode("node_op","op_execfun",this.createNode("node_var","cos"),s.Z.deepCopy(o)),this.createNode("node_const",2)));break;case"cot":i=this.createNode("node_op","op_neg",this.createNode("node_op","op_div",this.createNode("node_const",1),this.createNode("node_op","op_exp",this.createNode("node_op","op_execfun",this.createNode("node_var","sin"),s.Z.deepCopy(o)),this.createNode("node_const",2))));break;case"exp":i=this.createNode(t.type,t.value,s.Z.deepCopy(t.children[0]),s.Z.deepCopy(t.children[1]));break;case"pow":i=this.createNode("node_op","op_mul",this.createNode("node_op","op_execfun",s.Z.deepCopy(t.children[0]),s.Z.deepCopy(t.children[1])),this.createNode("node_op","op_add",this.createNode("node_op","op_mul",this.derivative(t.children[1][0],e),this.createNode("node_op","op_div",s.Z.deepCopy(t.children[1][1]),s.Z.deepCopy(t.children[1][0]))),this.createNode("node_op","op_mul",this.derivative(t.children[1][1],e),this.createNode("node_op","op_execfun",this.createNode("node_var","log"),[s.Z.deepCopy(t.children[1][0])]))));break;case"log":case"ln":i=this.createNode("node_op","op_div",this.createNode("node_const",1),s.Z.deepCopy(o[0]));break;case"log2":case"lb":case"ld":i=this.createNode("node_op","op_mul",this.createNode("node_op","op_div",this.createNode("node_const",1),s.Z.deepCopy(o[0])),this.createNode("node_const",1.4426950408889634));break;case"log10":case"lg":i=this.createNode("node_op","op_mul",this.createNode("node_op","op_div",this.createNode("node_const",1),s.Z.deepCopy(o[0])),this.createNode("node_const",.43429448190325176));break;case"asin":i=this.createNode("node_op","op_div",this.createNode("node_const",1),this.createNode("node_op","op_execfun",this.createNode("node_var","sqrt"),[this.createNode("node_op","op_sub",this.createNode("node_const",1),this.createNode("node_op","op_mul",s.Z.deepCopy(o[0]),s.Z.deepCopy(o[0])))]));break;case"acos":i=this.createNode("node_op","op_neg",this.createNode("node_op","op_div",this.createNode("node_const",1),this.createNode("node_op","op_execfun",this.createNode("node_var","sqrt"),[this.createNode("node_op","op_sub",this.createNode("node_const",1),this.createNode("node_op","op_mul",s.Z.deepCopy(o[0]),s.Z.deepCopy(o[0])))])));break;case"atan":i=this.createNode("node_op","op_div",this.createNode("node_const",1),this.createNode("node_op","op_add",this.createNode("node_const",1),this.createNode("node_op","op_mul",s.Z.deepCopy(o[0]),s.Z.deepCopy(o[0]))));break;case"acot":i=this.createNode("node_op","op_neg",this.createNode("node_op","op_div",this.createNode("node_const",1),this.createNode("node_op","op_add",this.createNode("node_const",1),this.createNode("node_op","op_mul",s.Z.deepCopy(o[0]),s.Z.deepCopy(o[0])))));break;case"sinh":i=this.createNode("node_op","op_execfun",this.createNode("node_var","cosh"),[s.Z.deepCopy(o[0])]);break;case"cosh":i=this.createNode("node_op","op_execfun",this.createNode("node_var","sinh"),[s.Z.deepCopy(o[0])]);break;case"tanh":i=this.createNode("node_op","op_sub",this.createNode("node_const",1),this.createNode("node_op","op_exp",this.createNode("node_op","op_execfun",this.createNode("node_var","tanh"),[s.Z.deepCopy(o[0])]),this.createNode("node_const",2)));break;case"asinh":i=this.createNode("node_op","op_div",this.createNode("node_const",1),this.createNode("node_op","op_execfun",this.createNode("node_var","sqrt"),[this.createNode("node_op","op_add",this.createNode("node_op","op_mul",s.Z.deepCopy(o[0]),s.Z.deepCopy(o[0])),this.createNode("node_const",1))]));break;case"acosh":i=this.createNode("node_op","op_div",this.createNode("node_const",1),this.createNode("node_op","op_execfun",this.createNode("node_var","sqrt"),[this.createNode("node_op","op_sub",this.createNode("node_op","op_mul",s.Z.deepCopy(o[0]),s.Z.deepCopy(o[0])),this.createNode("node_const",1))]));break;case"atanh":i=this.createNode("node_op","op_div",this.createNode("node_const",1),this.createNode("node_op","op_sub",this.createNode("node_const",1),this.createNode("node_op","op_mul",s.Z.deepCopy(o[0]),s.Z.deepCopy(o[0]))));break;default:throw i=this.createNode("node_const",0),console.log('Derivative of "'+r+'" not yet implemented'),new Error("Error("+this.line+"): ")}return i},derivative:function(t,e){var i;switch(t.type){case"node_op":switch(t.value){case"op_execfun":i="pow"==t.children[0].value?this.deriveElementary(t,e):0===t.children[1].length?this.createNode("node_const",0):this.createNode("node_op","op_mul",this.deriveElementary(t,e),this.derivative(t.children[1][0],e));break;case"op_div":i=this.createNode("node_op","op_div",this.createNode("node_op","op_sub",this.createNode("node_op","op_mul",this.derivative(t.children[0],e),s.Z.deepCopy(t.children[1])),this.createNode("node_op","op_mul",s.Z.deepCopy(t.children[0]),this.derivative(t.children[1],e))),this.createNode("node_op","op_mul",s.Z.deepCopy(t.children[1]),s.Z.deepCopy(t.children[1])));break;case"op_mul":i=this.createNode("node_op","op_add",this.createNode("node_op","op_mul",s.Z.deepCopy(t.children[0]),this.derivative(t.children[1],e)),this.createNode("node_op","op_mul",this.derivative(t.children[0],e),s.Z.deepCopy(t.children[1])));break;case"op_neg":i=this.createNode("node_op","op_neg",this.derivative(t.children[0],e));break;case"op_add":case"op_sub":i=this.createNode("node_op",t.value,this.derivative(t.children[0],e),this.derivative(t.children[1],e));break;case"op_exp":i=this.createNode("node_op","op_mul",s.Z.deepCopy(t),this.createNode("node_op","op_add",this.createNode("node_op","op_mul",this.derivative(t.children[0],e),this.createNode("node_op","op_div",s.Z.deepCopy(t.children[1]),s.Z.deepCopy(t.children[0]))),this.createNode("node_op","op_mul",this.derivative(t.children[1],e),this.createNode("node_op","op_execfun",this.createNode("node_var","log"),[s.Z.deepCopy(t.children[0])]))))}break;case"node_var":i=t.value===e?this.createNode("node_const",1):this.createNode("node_const",0);break;case"node_const":i=this.createNode("node_const",0)}return i},expandDerivatives:function(t,e,i){var r,o,n,a,h,l,c,d,u,p,f;if(0,!t)return 0;for(this.line=t.line,this.col=t.col,r=t.children.length,o=0;o<r;++o)if(t.children[o]&&t.children[o].type)t.children[o]=this.expandDerivatives(t.children[o],t,i);else if(s.Z.isArray(t.children[o]))for(n=0;n<t.children[o].length;++n)t.children[o][n]&&t.children[o][n].type&&(t.children[o][n]=this.expandDerivatives(t.children[o][n],t,i));if("node_op"===t.type)if("op_execfun"===t.value)if(t.children[0]&&"D"===t.children[0].value){if("node_var"==t.children[1][0].type?(d=t.children[1][0].value,p=(a=this.findMapNode(d,i)).children[0],u=t.children[1].length>=2?t.children[1][1].value:a.children[0][0],h=a.children[1]):(h=t.children[1][0],p=["x"],u=t.children[1].length>=2?t.children[1][1].value:"x"),c=h,(f=t.children[1].length>=3?t.children[1][2].value:1)>=1)for(;f>=1;)c=this.derivative(c,u),c=this.removeTrivialNodes(c),f--;l="node_op"==e.type&&"op_assign"==e.value?this.createNode("node_op","op_map",p,c):c,this.setMath(l),t.type=l.type,t.value=l.value,l.children.length>0&&(t.children[0]=l.children[0]),l.children.length>1&&(t.children[1]=l.children[1])}return t},removeTrivialNodes:function(t){var e,i,r,o,n;if(s.Z.isArray(t))for(i=t.length,e=0;e<i;++e)t[e]=this.removeTrivialNodes(t[e]);if("node_op"!=t.type||!t.children)return t;for(i=t.children.length,e=0;e<i;++e){this.mayNotBeSimplified=!1;do{t.children[e]=this.removeTrivialNodes(t.children[e])}while(this.mayNotBeSimplified)}switch(t.value){case"op_map":if(r=t.children[0],"node_var"==(o=t.children[1]).type)for(e=0;e<r.length;++e)if(r[e]==o.value){o.isMath=!0;break}break;case"op_add":if(r=t.children[0],o=t.children[1],"node_const"==r.type&&0===r.value)return o;if("node_const"==o.type&&0===o.value)return r;if("node_const"==r.type&&"node_const"==o.type)return r.value+=o.value,r;break;case"op_mul":if(r=t.children[0],o=t.children[1],"node_const"==r.type&&1==r.value)return o;if("node_const"==o.type&&1==o.value)return r;if("node_const"==r.type&&0===r.value)return r;if("node_const"==o.type&&0===o.value)return o;if("node_const"==o.type&&0===o.value)return o;if("node_op"==r.type&&"op_neg"==r.value&&"node_op"==o.type&&"op_neg"==o.value)return t.children=[r.children[0],o.children[0]],this.mayNotBeSimplified=!0,t;if("op_neg"==r.value&&"op_neg"!=o.value)return t.type="node_op",t.value="op_neg",t.children=[this.createNode("node_op","op_mul",r.children[0],o)],this.mayNotBeSimplified=!0,t;if("op_neg"!=r.value&&"op_neg"==o.value)return t.type="node_op",t.value="op_neg",t.children=[this.createNode("node_op","op_mul",r,o.children[0])],this.mayNotBeSimplified=!0,t;if("op_div"==r.value&&"node_const"==r.children[0].type&&1==r.children[0].value)return t.type="node_op",t.value="op_div",t.children=[o,r.children[1]],this.mayNotBeSimplified=!0,t;if("op_div"==o.value&&"node_const"==o.children[0].type&&1==o.children[0].value)return t.type="node_op",t.value="op_div",t.children=[r,o.children[1]],this.mayNotBeSimplified=!0,t;if("node_const"!=r.type&&"node_const"==o.type)return t.children=[o,r],this.mayNotBeSimplified=!0,t;if("node_const"!=r.type&&"node_op"==o.type&&"op_neg"==o.value&&"node_const"==o.children[0].type)return t.children=[o,r],this.mayNotBeSimplified=!0,t;if("node_op"==r.type&&"op_execfun"!=r.value&&("node_var"==o.type||"node_op"==o.type&&"op_execfun"==o.value))return t.children=[o,r],this.mayNotBeSimplified=!0,t;if("node_op"!=r.type&&"node_op"==o.type&&"op_neg"==o.value&&"node_var"==o.children[0].type)return t.children=[o,r],this.mayNotBeSimplified=!0,t;if("node_const"!=r.type&&"node_op"==o.type&&("op_mul"==o.value||"op_div"==o.value)&&"node_const"==o.children[0].type)return n=o.children[0],o.children[0]=r,t.children=[n,o],this.mayNotBeSimplified=!0,t;if("node_const"!=o.type&&"node_op"==r.type&&"op_mul"==r.value&&"node_const"==r.children[0].type)return t.children=[r.children[0],this.createNode("node_op","op_mul",r.children[1],o)],this.mayNotBeSimplified=!0,t;if("node_const"==r.type&&"node_const"==o.type)return r.value*=o.value,r;if("node_const"==r.type&&"node_op"==o.type&&("op_mul"==o.value||"op_div"==o.value)&&"node_const"==o.children[0].type)return o.children[0].value*=r.value,o;if(r.hash=this.parser.compile(r),o.hash=this.parser.compile(o),r.hash===o.hash)return t.value="op_exp",t.children[1]=this.createNode("node_const",2),t;if("node_const"==r.type&&"node_op"==o.type&&("op_mul"==o.value||"op_div"==o.value)&&"node_const"==o.children[0].type)return o.children[0].value*=r.value,o;if("node_op"==o.type&&"op_exp"==o.value&&(r.hash||(r.hash=this.parser.compile(r)),o.children[0].hash||(o.children[0].hash=this.parser.compile(o.children[0])),r.hash===o.children[0].hash))return o.children[1]=this.createNode("node_op","op_add",o.children[1],this.createNode("node_const",1)),this.mayNotBeSimplified=!0,o;if("node_op"==r.type&&"op_exp"==r.value&&"node_op"==o.type&&"op_exp"==o.value&&(r.children[0].hash=this.parser.compile(r.children[0]),o.children[0].hash=this.parser.compile(o.children[0]),r.children[0].hash===o.children[0].hash))return r.children[1]=this.createNode("node_op","op_add",r.children[1],o.children[1]),this.mayNotBeSimplified=!0,r;break;case"op_sub":if(r=t.children[0],o=t.children[1],"node_const"==r.type&&0===r.value)return t.value="op_neg",t.children[0]=o,t;if("node_const"==o.type&&0===o.value)return r;if("node_const"==r.type&&"node_const"==o.type&&r.value==o.value)return this.createNode("node_const",0);if("node_var"==r.type&&"node_var"==o.type&&r.value==o.value)return this.createNode("node_const",0);if("node_const"==r.type&&"node_const"==o.type)return r.value-=o.value,r;if("node_op"==r.type&&"op_mul"==r.value&&"node_op"==o.type&&"op_mul"==o.value&&(r.children[1].hash=this.parser.compile(r.children[1]),o.children[1].hash=this.parser.compile(o.children[1]),r.children[1].hash===o.children[1].hash))return t.value="op_mul",t.children=[this.createNode("node_op","op_sub",r.children[0],o.children[0]),r.children[1]],this.mayNotBeSimplified=!0,t;if("node_op"==r.type&&"op_mul"==r.value&&(r.children[1].hash=this.parser.compile(r.children[1]),o.hash=this.parser.compile(o),r.children[1].hash===o.hash))return t.value="op_mul",t.children=[this.createNode("node_op","op_sub",r.children[0],this.createNode("node_const",1)),o],this.mayNotBeSimplified=!0,t;if("node_op"==o.type&&"op_mul"==o.value&&(o.children[1].hash=this.parser.compile(o.children[1]),r.hash=this.parser.compile(r),o.children[1].hash===r.hash))return t.value="op_mul",t.children=[this.createNode("node_op","op_sub",this.createNode("node_const",1),o.children[0]),r],this.mayNotBeSimplified=!0,t;break;case"op_neg":if("node_const"==(r=t.children[0]).type&&0===r.value)return r;if("node_op"==r.type&&"op_neg"==r.value)return r.children[0];break;case"op_div":if(r=t.children[0],o=t.children[1],"node_const"==r.type&&"node_const"==o.type&&r.value==o.value&&0!==r.value)return r.value=1,r;if("node_const"==r.type&&0===r.value&&"node_const"==o.type&&0!==o.value)return r.value=0,r;if("node_const"==r.type&&0===r.value&&("node_op"==o.type||"node_var"==o.type))return t.type="node_const",t.value=0,t;if("node_var"==r.type&&"node_var"==o.type&&r.value==o.value)return this.createNode("node_const",1);if("node_const"==r.type&&0!==r.value&&"node_const"==o.type&&0===o.value)return r.value>0?r.value=1/0:r.value=-1/0,r;if("node_op"==r.type&&"op_neg"==r.value&&"node_op"==o.type&&"op_neg"==o.value)return t.children=[r.children[0],o.children[0]],this.mayNotBeSimplified=!0,t;if("op_neg"==r.value&&"op_neg"!=o.value)return t.type="node_op",t.value="op_neg",t.children=[this.createNode("node_op","op_div",r.children[0],o)],this.mayNotBeSimplified=!0,t;if("op_neg"!=r.value&&"op_neg"==o.value)return t.type="node_op",t.value="op_neg",t.children=[this.createNode("node_op","op_div",r,o.children[0])],this.mayNotBeSimplified=!0,t;if("node_op"==r.type&&"op_exp"==r.value&&(o.hash||(o.hash=this.parser.compile(o)),r.children[0].hash||(r.children[0].hash=this.parser.compile(r.children[0])),o.hash===r.children[0].hash))return r.children[1]=this.createNode("node_op","op_sub",r.children[1],this.createNode("node_const",1)),this.mayNotBeSimplified=!0,r;if("node_const"!=o.type&&"node_op"==r.type&&"op_mul"==r.value&&"node_const"==r.children[0].type)return t.value="op_mul",t.children=[r.children[0],this.createNode("node_op","op_div",r.children[1],o)],this.mayNotBeSimplified=!0,t;if("node_op"==r.type&&"op_exp"==r.value&&"node_op"==o.type&&"op_exp"==o.value&&(r.children[0].hash=this.parser.compile(r.children[0]),o.children[0].hash=this.parser.compile(o.children[0]),r.children[0].hash===o.children[0].hash))return r.children[1]=this.createNode("node_op","op_sub",r.children[1],o.children[1]),this.mayNotBeSimplified=!0,r;break;case"op_exp":if(r=t.children[0],"node_const"==(o=t.children[1]).type&&0===o.value)return o.value=1,o;if("node_const"==o.type&&1==o.value)return r;if("node_const"==r.type&&1==r.value)return r;if("node_const"==r.type&&0===r.value&&"node_const"==o.type&&0!==o.value)return r;if("node_op"==r.type&&"op_exp"==r.value)return t.children=[r.children[0],this.createNode("node_op","op_mul",r.children[1],o)],t}switch(t.value){case"op_add":if(r=t.children[0],o=t.children[1],"node_const"==r.type&&"node_const"==o.type&&r.value==o.value)return r.value+=o.value,r;if("node_var"==r.type&&"node_var"==o.type&&r.value==o.value)return t.children[0]=this.createNode("node_const",2),t.value="op_mul",t;if("node_op"==r.type&&"op_neg"==r.value)return t.value="op_sub",t.children[0]=o,t.children[1]=r.children[0],this.mayNotBeSimplified=!0,t;if("node_op"==o.type&&"op_neg"==o.value)return t.value="op_sub",t.children[1]=o.children[0],this.mayNotBeSimplified=!0,t;if("node_op"==r.type&&"op_mul"==r.value&&"node_op"==o.type&&"op_mul"==o.value&&(r.children[1].hash=this.parser.compile(r.children[1]),o.children[1].hash=this.parser.compile(o.children[1]),r.children[1].hash===o.children[1].hash))return t.value="op_mul",t.children=[this.createNode("node_op","op_add",r.children[0],o.children[0]),r.children[1]],this.mayNotBeSimplified=!0,t;if("node_op"==r.type&&"op_mul"==r.value&&(r.children[1].hash=this.parser.compile(r.children[1]),o.hash=this.parser.compile(o),r.children[1].hash===o.hash))return t.value="op_mul",t.children=[this.createNode("node_op","op_add",r.children[0],this.createNode("node_const",1)),o],this.mayNotBeSimplified=!0,t;if("node_op"==o.type&&"op_mul"==o.value&&(o.children[1].hash=this.parser.compile(o.children[1]),r.hash=this.parser.compile(r),o.children[1].hash===r.hash))return t.value="op_mul",t.children=[this.createNode("node_op","op_add",this.createNode("node_const",1),o.children[0]),r],this.mayNotBeSimplified=!0,t;break;case"op_sub":if(r=t.children[0],"node_op"==(o=t.children[1]).type&&"op_neg"==o.value)return t.value="op_add",t.children[1]=o.children[0],this.mayNotBeSimplified=!0,t;break;case"op_execfun":return this.simplifyElementary(t)}return t},simplifyElementary:function(t){var e=t.children[0].value,i=t.children[1];if(0==i.length)return t;switch(e){case"sin":case"tan":if("node_const"==i[0].type&&0===i[0].value)return t.type="node_const",t.value=0,t;if("node_var"==i[0].type&&"PI"==i[0].value)return t.type="node_const",t.value=0,t;if("node_op"==i[0].type&&"op_mul"==i[0].value&&"node_const"==i[0].children[0].type&&i[0].children[0].value%1==0&&"node_var"==i[0].children[1].type&&"PI"==i[0].children[1].value)return t.type="node_const",t.value=0,t;break;case"cos":if("node_const"==i[0].type&&0===i[0].value)return t.type="node_const",t.value=1,t;if("node_var"==i[0].type&&"PI"==i[0].value)return t.type="node_op",t.value="op_neg",t.children=[this.createNode("node_const",1)],t;break;case"exp":if("node_const"==i[0].type&&0===i[0].value)return t.type="node_const",t.value=1,t;break;case"pow":if("node_const"==i[1].type&&0===i[1].value)return t.type="node_const",t.value=1,t}return t}});t.Z.CA;t.Z.Dump={addMarkers:function(t,e,i){var 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s=this.minimizeObject(i.getAttributes(),t.Z.Options[i.elType]),i.subs)i.subs.hasOwnProperty(r)&&(s[r]=this.minimizeObject(i.subs[r].getAttributes(),t.Z.Options[i.elType][r],t.Z.Options[i.subs[r].elType]),s[r].id=i.subs[r].id,s[r].name=i.subs[r].name);return s.id=i.id,s.name=i.name,s},setBoundingBox:function(t,e,i){return t.push({obj:i,method:"setBoundingBox",params:[e.getBoundingBox(),e.keepaspectratio]}),t},dump:function(t){var e,i,r,o,n=[],a=[],h=t.objectsList.length;for(this.addMarkers(t,"dumped",!1),e=0;e<h;e++)if(r={},!(i=t.objectsList[e]).dumped&&i.dump){for(r.type=i.getType(),r.parents=i.getParents().slice(),"point"===r.type&&1===r.parents[0]&&(r.parents=r.parents.slice(1)),o=0;o<r.parents.length;o++)s.Z.isString(r.parents[o])&&"'"!==r.parents[o][0]&&'"'!==r.parents[o][0]?r.parents[o]='"'+r.parents[o]+'"':s.Z.isArray(r.parents[o])&&(r.parents[o]="["+r.parents[o].toString()+"]");r.attributes=this.prepareAttributes(t,i),"glider"===r.type&&i.onPolygon&&n.push({obj:i.id,prop:"onPolygon",val:!0}),a.push(r)}return this.deleteMarkers(t,"dumped"),{elements:a,props:n,methods:[]}},arrayToParamStr:function(t,e){var i,s=[];for(i=0;i<t.length;i++)s.push(e.call(this,t[i]));return s.join(", ")},toJCAN:function(t){var e,i,r;switch(typeof t){case"object":if(t){if(i=[],s.Z.isArray(t)){for(e=0;e<t.length;e++)i.push(this.toJCAN(t[e]));return"["+i.join(",")+"]"}for(r in t)t.hasOwnProperty(r)&&i.push(r+": 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e,i,r,o=this.dump(t),n=[];for(o.methods=this.setBoundingBox(o.methods,t,"board"),i=o.elements,e=0;e<i.length;e++)n.push('board.create("'+i[e].type+'", ['+i[e].parents.join(", ")+"], "+s.Z.toJSON(i[e].attributes)+");"),"axis"===i[e].type&&(r=i[e].attributes.id,null===t.objects[r].defaultTicks&&n.push('board.objects["'+r+'"].removeTicks(board.objects["'+r+'"].defaultTicks);'));for(e=0;e<o.methods.length;e++)n.push(o.methods[e].obj+"."+o.methods[e].method+"("+this.arrayToParamStr(o.methods[e].params,s.Z.toJSON)+");"),n.push("");for(e=0;e<o.props.length;e++)n.push(o.props[e].obj+"."+o.props[e].prop+" = "+s.Z.toJSON(o.props[e].val)+";"),n.push("");return n.join("\n")}};t.Z.Dump;t.Z.createComb=function(e,i,r){var o,n,a,h,l;if(2!==i.length)throw l=i.map((function(t){return"'"+typeof t+"'"})),new Error("JSXGraph: Can't create comb with parent types "+l.join(", ")+".\nPossible parent types: [point,point], 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this._useUserSize?(this.usrSize=[this.W(),this.H()],this.size=[Math.abs(this.usrSize[0]*this.board.unitX),Math.abs(this.usrSize[1]*this.board.unitY)]):this.rendNode.hasChildNodes()&&(t=this.rendNode.childNodes[0].getBoundingClientRect(),this.size=[t.width,t.height]),this},updateSpan:function(){var t,e,i=this.transformations.length,s=[];if(0===i)this.span=[[this.Z(),this.X(),this.Y()],[this.Z(),this.W(),0],[this.Z(),0,this.H()]];else{for(s[0]=[this.Z(),this.X(),this.Y()],s[1]=[this.Z(),this.X()+this.W(),this.Y()],s[2]=[this.Z(),this.X(),this.Y()+this.H()],t=0;t<i;t++)for(e=0;e<3;e++)s[e]=o.Z.matVecMult(this.transformations[t].matrix,s[e]);for(e=0;e<3;e++)s[e][1]/=s[e][0],s[e][2]/=s[e][0],s[e][0]/=s[e][0];for(e=1;e<3;e++)s[e][0]-=s[0][0],s[e][1]-=s[0][1],s[e][2]-=s[0][2];this.span=s}return this},addTransform:function(t){var e;if(s.Z.isArray(t))for(e=0;e<t.length;e++)this.transformations.push(t[e]);else this.transformations.push(t);return this},getParents:function(){var t=[this.url,[this.Z(),this.X(),this.Y()],this.usrSize];return 0!==this.parents.length&&(t=this.parents),t},setSize:function(t,e){return this.W=s.Z.createFunction(t,this.board,""),this.H=s.Z.createFunction(e,this.board,""),this._useUserSize=!0,this.addParentsFromJCFunctions([this.W,this.H]),this},W:function(){},H:function(){}}),t.Z.createForeignObject=function(e,i,r){var o,n,a=i[0],h=i[1],l=[];if(i.length>=2&&(l=i[2]),o=s.Z.copyAttributes(r,e.options,"foreignobject"),!(n=G.Z.create(t.Z.ForeignObject,e,h,o,a,l)))throw new Error("JSXGraph: Can't create foreignObject with parent types '"+typeof i[0]+"' and '"+typeof i[1]+"'.\nPossible parent types: [string, [x, y], [w, h]], [string, [x, y]], [element,transformation]");return n},t.Z.registerElement("foreignobject",t.Z.createForeignObject),t.Z.registerElement("fo",t.Z.createForeignObject);t.Z.ForeignObject;t.Z.extend(T.Z,{axes3d:{axesPosition:"center",xAxis:{visible:!0,point2:{name:"x"}},yAxis:{visible:!0,point2:{name:"y"}},zAxis:{visible:!0,point2:{name:"z"}},xPlaneRear:{visible:!0,layer:0,mesh3d:{layer:1}},yPlaneRear:{visible:!0,layer:0,mesh3d:{layer:1}},zPlaneRear:{visible:!0,layer:0,mesh3d:{layer:1}},xPlaneFront:{visible:!1,layer:0,mesh3d:{layer:1}},yPlaneFront:{visible:!1,layer:0,mesh3d:{layer:1}},zPlaneFront:{visible:!1,layer:0,mesh3d:{layer:1}},xPlaneRearYAxis:{visible:"inherit",strokeColor:"#888888",strokeWidth:1},xPlaneRearZAxis:{visible:"inherit",strokeColor:"#888888",strokeWidth:1},xPlaneFrontYAxis:{visible:"inherit",strokeColor:"#888888",strokeWidth:1},xPlaneFrontZAxis:{visible:"inherit",strokeColor:"#888888",strokeWidth:1},yPlaneRearXAxis:{visible:"inherit",strokeColor:"#888888",strokeWidth:1},yPlaneRearZAxis:{visible:"inherit",strokeColor:"#888888",strokeWidth:1},yPlaneFrontXAxis:{visible:"inherit",strokeColor:"#888888",strokeWidth:1},yPlaneFrontZAxis:{visible:"inherit",strokeColor:"#888888",strokeWidth:1},zPlaneRearXAxis:{visible:"inherit",strokeColor:"#888888",strokeWidth:1},zPlaneRearYAxis:{visible:"inherit",strokeColor:"#888888",strokeWidth:1},zPlaneFrontXAxis:{visible:"inherit",strokeColor:"#888888",strokeWidth:1},zPlaneFrontYAxis:{visible:"inherit",strokeColor:"#888888",strokeWidth:1}},axis3d:{highlight:!1,strokecolor:"black",strokeWidth:1,tabindex:null,point1:{visible:!1,name:""},point2:{visible:!1,name:"",label:{visible:!0}}},curve3d:{highlight:!1,tabindex:-1,strokeWidth:1,numberPointsHigh:200},mesh3d:{strokeWidth:1,strokeColor:"#9a9a9a",strokeOpacity:.6,highlight:!1,fillColor:"#9a9a9a",fillOpacity:.1,tabindex:null,visible:"inherit"},line3d:{strokeWidth:1,strokeColor:"black",fixed:!0,tabindex:null,gradient:"linear",gradientSecondColor:"#ffffff",point:{visible:!1,name:""},point1:{visible:!1,name:""},point2:{visible:!1,name:""}},plane3d:{strokeWidth:0,strokeColor:"black",strokeOpacity:1,highlight:!1,tabindex:null,gradient:"linear",gradientSecondColor:"#ffffff",gradientAngle:Math.PI,fillColor:"#a7a7a7",fillOpacity:.6,point:{visible:!1,name:"",fixed:!0}},point3d:{infoboxDigits:"auto",strokeWidth:0,gradient:"radial",gradientSecondColor:"#555555",fillColor:"yellow",highlightStrokeColor:"#555555"},surface3d:{highlight:!1,tabindex:-1,strokeWidth:1,stepsU:30,stepsV:30},view3d:{needsRegularUpdate:!0,verticalDrag:{enabled:!0,key:"shift"}}});t.Z.Options;t.Z.View3D=function(t,e,r){this.constructor(t,r,i.Z.OBJECT_TYPE_VIEW3D,i.Z.OBJECT_CLASS_3D),this.objects={},this.elementsByName={},this.defaultAxes=null,this.matrix3D=[[1,0,0,0],[0,1,0,0],[0,0,1,0]],this.llftCorner=e[0],this.size=e[1],this.bbox3D=e[2],this.r=-1,this.timeoutAzimuth=null,this.id=this.board.setId(this,"V"),this.board.finalizeAdding(this),this.elType="view3d",this.methodMap=s.Z.deepCopy(this.methodMap,{})},t.Z.View3D.prototype=new J.Z,t.Z.extend(t.Z.View3D.prototype,{create:function(t,e,i){var s=[];return t.indexOf("3d")>0&&s.push(this),this.board.create(t,s.concat(e),i)},select:function(t,e){var i,r,o,n,a=t;if(null===a)return a;if(s.Z.isString(a)&&""!==a)s.Z.exists(this.objects[a])?a=this.objects[a]:s.Z.exists(this.elementsByName[a])&&(a=this.elementsByName[a]);else if(!e&&(s.Z.isFunction(a)||s.Z.isObject(a)&&!s.Z.isFunction(a.setAttribute))){for(r={},n=(i=s.Z.filterElements(this.objectsList,a)).length,o=0;o<n;o++)r[i[o].id]=i[o];a=new k(r)}else s.Z.isObject(a)&&s.Z.exists(a.id)&&!s.Z.exists(this.objects[a.id])&&(a=null);return a},update:function(){var t,e,i,r,n,a;return s.Z.exists(this.el_slide)&&s.Z.exists(this.az_slide)&&this.needsUpdate?(t=this.el_slide.Value(),e=this.r,i=this.az_slide.Value(),r=e*Math.sin(t),n=[[1,0,0],[0,1,0],[0,0,1]],a=[[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]],this.matrix3D=[[1,0,0,0],[0,1,0,0],[0,0,1,0]],this.matrix3D[1][1]=e*Math.cos(i),this.matrix3D[1][2]=-e*Math.sin(i),this.matrix3D[2][1]=r*Math.sin(i),this.matrix3D[2][2]=r*Math.cos(i),this.matrix3D[2][3]=Math.cos(t),n[1][1]=this.size[0]/(this.bbox3D[0][1]-this.bbox3D[0][0]),n[2][2]=this.size[1]/(this.bbox3D[1][1]-this.bbox3D[1][0]),n[1][0]=this.llftCorner[0]+.5*n[1][1]*(this.bbox3D[0][1]-this.bbox3D[0][0]),n[2][0]=this.llftCorner[1]+.5*n[2][2]*(this.bbox3D[1][1]-this.bbox3D[1][0]),this.matrix3D=o.Z.matMatMult(n,o.Z.matMatMult(this.matrix3D,a)),this):this},updateRenderer:function(){return this.needsUpdate=!1,this},removeObject:function(e,i){var r;if(s.Z.isArray(e)){for(r=0;r<e.length;r++)this.removeObject(e[r]);return this}if(e=this.select(e),!s.Z.exists(e)||s.Z.isString(e))return this;try{delete this.objects[e.id]}catch(i){t.Z.debug("View3D "+e.id+": Could not be removed: "+i)}return this.board.removeObject(e,i),this},project3DTo2D:function(t,e,i){var s;return s=3===arguments.length?[1,t,e,i]:3===t.length?[1].concat(t):t,o.Z.matVecMult(this.matrix3D,s)},project2DTo3DPlane:function(t,e,i){var s,r,n,a,h=e.slice(1),l=[1,0,0,0];i=i||[1,0,0,0],a=o.Z.norm(h,3),n=o.Z.innerProduct(i.slice(1),h,3)/a,(s=this.matrix3D.slice(0,3)).push([0].concat(h)),r=t.coords.usrCoords.concat([n]);try{1===s[2][3]&&(s[2][1]=s[2][2]=.001*o.Z.eps),l=o.Z.Numerics.Gauss(s,r)}catch(t){l=[0,NaN,NaN,NaN]}return l},project2DTo3DVertical:function(t,e){var i=this.matrix3D[2],s=i[3],r=t.coords.usrCoords[2];return r-=i[0]*i[0]+i[1]*e[1]+i[2]*e[2],Math.abs(s)<o.Z.eps?e:e.slice(0,3).concat([r/s])},project3DToCube:function(t){var e=this.bbox3D;return t[1]<e[0][0]&&(t[1]=e[0][0]),t[1]>e[0][1]&&(t[1]=e[0][1]),t[2]<e[1][0]&&(t[2]=e[1][0]),t[2]>e[1][1]&&(t[2]=e[1][1]),t[3]<e[2][0]&&(t[3]=e[2][0]),t[3]>e[2][1]&&(t[3]=e[2][1]),t},intersectionLineCube:function(t,e,i){var s,r,o,n;for(s=i,r=0;r<3;r++)0!==e[r]&&(o=(this.bbox3D[r][0]-t[r])/e[r],n=(this.bbox3D[r][1]-t[r])/e[r],s=i<0?Math.max(s,Math.min(o,n)):Math.min(s,Math.max(o,n)));return s},isInCube:function(t){return t[0]>this.bbox3D[0][0]-o.Z.eps&&t[0]<this.bbox3D[0][1]+o.Z.eps&&t[1]>this.bbox3D[1][0]-o.Z.eps&&t[1]<this.bbox3D[1][1]+o.Z.eps&&t[2]>this.bbox3D[2][0]-o.Z.eps&&t[2]<this.bbox3D[2][1]+o.Z.eps},intersectionPlanePlane:function(t,e,i){var s,r,n,a,h=[[],[]];return i=i||e.d,s=o.Z.Geometry.meet3Planes(t.normal,t.d,e.normal,i,o.Z.crossProduct(t.normal,e.normal),0),r=o.Z.Geometry.meetPlanePlane(t.vec1,t.vec2,e.vec1,e.vec2),n=this.intersectionLineCube(s,r,1/0),a=o.Z.axpy(n,r,s),this.isInCube(a)&&(h[0]=a),n=this.intersectionLineCube(s,r,-1/0),a=o.Z.axpy(n,r,s),this.isInCube(a)&&(h[1]=a),h},getMesh:function(t,e,i){var r,o,n,a,h,l,c,d=[0,0,0],u=e[2],p=i[2],f=[],_=[];for(l=(s.Z.evaluate(e[1])-s.Z.evaluate(e[0]))/u,c=(s.Z.evaluate(i[1])-s.Z.evaluate(i[0]))/p,r=0;r<=u;r++){for(n=e[0]+l*r,o=0;o<=p;o++)a=i[0]+c*o,d=s.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,r=0;r<=u;r++)n=e[0]+l*r,d=s.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!!s.Z.evaluate(this.visProp.verticaldrag.enabled)&&t["_"+s.Z.evaluate(this.visProp.verticaldrag.key)+"Key"]}}),t.Z.createView3D=function(e,i,r){var o,n,a,h,l,c,d=i[0],u=i[1];return n=s.Z.copyAttributes(r,e.options,"view3d"),(o=new t.Z.View3D(e,i,n)).defaultAxes=o.create("axes3d",i,r),a=d[0],h=d[1],l=u[0],c=u[1],o.az_slide=e.create("slider",[[a-1,h-2],[a+l+1,h-2],[0,1,2*Math.PI]],{style:6,name:"az",point1:{frozen:!0},point2:{frozen:!0}}),o.el_slide=e.create("slider",[[a-1,h],[a-1,h+c],[0,.3,Math.PI/2]],{style:6,name:"el",point1:{frozen:!0},point2:{frozen:!0}}),o.board.highlightInfobox=function(t,e,i){var r,n,a,h,l,c,d='<span style="color:black; font-size:200%">⇄ &nbsp;</span>',u=i.board,p=null;for(o.isVerticalDrag()&&(d='<span style="color:black; font-size:200%">⇅ &nbsp;</span>'),n=0;n<i.parents.length&&!(p=u.objects[i.parents[n]]).is3D;n++);if(p){if(h=[1,0,0,p.coords[3]],a=o.project2DTo3DPlane(p.element2D,[1,0,0,1],h),!o.isInCube(a))return void o.board.highlightCustomInfobox("",p);r=s.Z.evaluate(p.visProp.infoboxdigits),c=o.board.infobox,console.log(c.useLocale()),l="auto"===r?c.useLocale()?[d,"(",c.formatNumberLocale(p.X())," | ",c.formatNumberLocale(p.Y())," | ",c.formatNumberLocale(p.Z()),")"]:[d,"(",s.Z.autoDigits(p.X())," | ",s.Z.autoDigits(p.Y())," | ",s.Z.autoDigits(p.Z()),")"]:c.useLocale()?[d,"(",c.formatNumberLocale(p.X(),r)," | ",c.formatNumberLocale(p.Y(),r)," | ",c.formatNumberLocale(p.Z(),r),")"]:[d,"(",s.Z.toFixed(p.X(),r)," | ",s.Z.toFixed(p.Y(),r)," | ",s.Z.toFixed(p.Z(),r),")"],o.board.highlightCustomInfobox(l.join(""),p)}else o.board.highlightCustomInfobox("("+t+", "+e+")",i)},o.board.update(),o},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,r,o,n,a,h={};for(i=0;i<arguments.length;i++)n=arguments[i],s.Z.isString(n)?(a=n.split(":"),h[s.Z.trim(a[0])]=s.Z.trim(a[1])):s.Z.isArray(n)?h[n[0]]=n[1]:t.Z.extend(h,n);for(i in h)if(h.hasOwnProperty(i))switch(r=i.replace(/\s+/g,"").toLowerCase(),o=h[i],r){case"numberpointshigh":case"stepsu":case"stepsv":s.Z.exists(this.visProp[r])&&(!t.Z.Validator[r]||t.Z.Validator[r]&&t.Z.Validator[r](o)||t.Z.Validator[r]&&s.Z.isFunction(o)&&t.Z.Validator[r](o()))&&(o=(!o.toLowerCase||"false"!==o.toLowerCase())&&o,this._set(r,o));break;default:s.Z.exists(this.element2D)&&this.element2D.setAttribute(h)}},getAttribute:function(t){var e;switch(t=t.toLowerCase()){case"numberpointshigh":case"stepsu":case"stepsv":e=this.visProp[t];break;default:s.Z.exists(this.element2D)&&(e=this.element2D.getAttribute(t))}return e},getAttributes:function(){var t,e,i={},r=["numberpointshigh","stepsu","stepsv"],o=r.length;for(s.Z.exists(this.element2D)&&(i=s.Z.merge(this.element2D.getAttributes())),t=0;t<o;t++)e=r[t],s.Z.exists(this.visProp[e])&&(i[e]=this.visProp[e]);return i}});t.Z.GeometryElement3D;t.Z.createAxes3D=function(t,e,i){var r,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(s.Z.exists(C.bbox3D))for(r=0;r<y.length;r++)O[r]=C.bbox3D[r][0],x[r]=C.bbox3D[r][1];else for(r=0;r<y.length;r++)O[r]=e[1][r],x[r]=e[2][1];for(c=(l=s.Z.copyAttributes(i,t.options,"axes3d")).axesposition,r=0;r<y.length;r++)b=(d=y[r])+P,"center"===c?(u=[0,0,0],(p=[0,0,0])[r]=x[r],S[b]=C.create("axis3d",[u,p],l[b.toLowerCase()])):(b+="Border",u=O.slice(),p=x.slice(),2===r?(u[1]=x[1],p[0]=O[0]):(u[r]=x[r],p[2]=O[2]),p[r]=x[r],l[b.toLowerCase()].lastArrow=!1,S[b]=C.create("axis3d",[u,p],l[b.toLowerCase()]),Z={visible:!0,minorTicks:0,tickEndings:[0,1],drawLabels:!1},2===r&&(Z.tickEndings=[1,0]),S[b+"Ticks"]=C.create("ticks",[S[b],1],Z));for(S.O=C.create("intersection",[S[y[0]+P],S[y[1]+P]],{name:"",visible:!1,withLabel:!1}),r=0;r<y.length;r++)for(a=(r+1)%3,h=(r+2)%3,d=y[r],o=0;o<E.length;o++)(u=[0,0,0])[r]=0===o?O[r]:x[r],_=[0,0,0],(f=[0,0,0])[a]=1,_[h]=1,m=[O[a],x[a]],g=[O[h],x[h]],b=d+"Plane"+E[o],l=s.Z.copyAttributes(i,t.options,"axes3d",b),S[b]=C.create("plane3d",[u,f,_,m,g],l),S[b].elType="axisplane3d";for(r=0;r<y.length;r++)for(d=y[r],o=0;o<E.length;o++)for(n=1;n<=2;n++)b=d+"Plane"+E[o]+y[a=(r+n)%3].toUpperCase()+"Axis",v=d+"Plane"+E[o],(u=[0,0,0])[r]=(p=[0,0,0])[r]=0===o?O[r]:x[r],u[a]=O[a],p[a]=x[a],l=s.Z.copyAttributes(i,t.options,"axes3d",b),S[b]=C.create("axis3d",[u,p],l),S[v].addChild(S[b]),S[v].element2D.inherits.push(S[b]);return S},t.Z.registerElement("axes3d",t.Z.createAxes3D),t.Z.createAxis3D=function(t,e,i){var r,o,n,a,h,l,c=e[0],d=e[1],u=e[2];return r=s.Z.copyAttributes(i.point1,t.options,"axis3d","point1"),o=c.create("point",[(a=d[0],h=d[1],l=d[2],function(){return c.project3DTo2D(a,h,l)[1]}),function(t,e,i){return function(){return c.project3DTo2D(t,e,i)[2]}}(d[0],d[1],d[2])],r),r=s.Z.copyAttributes(i.point2,t.options,"axis3d","point2"),n=c.create("point",[function(t,e,i){return function(){return c.project3DTo2D(t,e,i)[1]}}(u[0],u[1],u[2]),function(t,e,i){return function(){return c.project3DTo2D(t,e,i)[2]}}(u[0],u[1],u[2])],r),r=s.Z.copyAttributes(i,t.options,"axis3d"),c.create("arrow",[o,n],r)},t.Z.registerElement("axis3d",t.Z.createAxis3D),t.Z.createMesh3D=function(e,i,r){var o,n=i[0],a=i[1],h=i[2],l=i[3],c=i[4],d=i[5];return(o=n.create("curve",[[],[]],r)).updateDataArray=function(){var e,i,r,o,u=l[0],p=l[1],f=d[0],_=d[1],m=[0,0,0],g=[0,0,0],b=[0,0,0];if(this.dataX=[],this.dataY=[],s.Z.isFunction(a))b=a().slice(1);else for(o=0;o<3;o++)b[o]=s.Z.evaluate(a[o]);for(o=0;o<3;o++)m[o]=s.Z.evaluate(h[o]),g[o]=s.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;r=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=r[0],this.dataY=r[1]},o},t.Z.registerElement("mesh3d",t.Z.createMesh3D),t.Z.Point3D=function(t,e,r,o){this.constructor(t.board,o,i.Z.OBJECT_TYPE_POINT3D,i.Z.OBJECT_CLASS_3D),this.constructor3D(t,"point3d"),this.board.finalizeAdding(this),this.coords=[0,0,0,0],this.F=e,this.slide=r,this.X=function(){return this.coords[1]},this.Y=function(){return this.coords[2]},this.Z=function(){return this.coords[3]},this._params=null,this._c2d=null,this.methodMap=s.Z.deepCopy(this.methodMap,{})},t.Z.Point3D.prototype=new t.Z.GeometryElement,s.Z.copyPrototypeMethods(t.Z.Point3D,t.Z.GeometryElement3D,"constructor3D"),t.Z.extend(t.Z.Point3D.prototype,{updateCoords:function(){var t;if(s.Z.isFunction(this.F))this.coords=[1].concat(s.Z.evaluate(this.F));else for(this.coords[0]=1,t=0;t<3;t++)s.Z.isFunction(this.F[t])&&(this.coords[t+1]=s.Z.evaluate(this.F[t]));return this},initCoords:function(){var t;if(s.Z.isFunction(this.F))this.coords=[1].concat(s.Z.evaluate(this.F));else for(this.coords[0]=1,t=0;t<3;t++)this.coords[t+1]=s.Z.evaluate(this.F[t]);return this},normalizeCoords:function(){return Math.abs(this.coords[0])>o.Z.eps&&(this.coords[1]/=this.coords[0],this.coords[2]/=this.coords[0],this.coords[3]/=this.coords[0],this.coords[0]=1),this},setPosition:function(t,e){var i=this.coords;this.coords.slice();return 3===t.length?(i[0]=1,i[1]=t[0],i[2]=t[1],i[3]=t[2]):(i[0]=t[0],i[1]=t[1],i[2]=t[2],i[3]=t[2],this.normalizeCoords()),this},update:function(t){var e,s;return this.element2D.draggable()&&0!==u.Z.distance(this._c2d,this.element2D.coords.usrCoords)?this.slide?this.projectCoords2Surface():(this.view.isVerticalDrag()?e=this.view.project2DTo3DVertical(this.element2D,this.coords):(s=[1,0,0,this.coords[3]],e=this.view.project2DTo3DPlane(this.element2D,[1,0,0,1],s)),0!==e[0]&&(this.coords=this.view.project3DToCube(e))):(this.updateCoords(),this.element2D.coords.setCoordinates(i.Z.COORDS_BY_USER,this.view.project3DTo2D([1,this.X(),this.Y(),this.Z()]))),this._c2d=this.element2D.coords.usrCoords.slice(),this},updateRenderer:function(){return this.needsUpdate=!1,this},projectCoords2Surface:function(){var t,e,r,n=[0,0],a=this.slide,h=this;null!==a&&(r=function(t,e,i,s){var r=[1,a.X(i[0],i[1]),a.Y(i[0],i[1]),a.Z(i[0],i[1])],o=h.view.project3DTo2D(r);return 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t.Z.Point3D(c,n,a,o)).initCoords(),h=c.project3DTo2D(l.coords),o=l.setAttr2D(o),l.element2D=c.create("point",h,o),l.addChild(l.element2D),l.inherits.push(l.element2D),l.element2D.setParents(l),l._c2d=l.element2D.coords.usrCoords.slice(),l},t.Z.registerElement("point3d",t.Z.createPoint3D),t.Z.Curve3D=function(t,e,r,o,n,a,h){this.constructor(t.board,h,i.Z.OBJECT_TYPE_CURVE3D,i.Z.OBJECT_CLASS_3D),this.constructor3D(t,"curve3d"),this.board.finalizeAdding(this),this.F=e,this.X=r,this.Y=o,this.Z=n,null!==this.F&&(this.X=function(t){return this.F(t)[0]},this.Y=function(t){return this.F(t)[1]},this.Z=function(t){return this.F(t)[2]}),this.range=a,this.methodMap=s.Z.deepCopy(this.methodMap,{})},t.Z.Curve3D.prototype=new t.Z.GeometryElement,s.Z.copyPrototypeMethods(t.Z.Curve3D,t.Z.GeometryElement3D,"constructor3D"),t.Z.extend(t.Z.Curve3D.prototype,{updateDataArray:function(){var t,e,i,r,o,n,a,h,l,c=s.Z.evaluate(this.visProp.numberpointshigh),d=[0,0,0];if(a=[],h=[],s.Z.isArray(this.X))for(c=this.X.length,n=0;n<c;n++)d=[this.X[n],this.Y[n],this.Z[n]],o=this.view.project3DTo2D(d),a.push(o[1]),h.push(o[2]);else for(t=s.Z.evaluate(this.range),e=s.Z.evaluate(t[0]),r=((i=s.Z.evaluate(t[1]))-e)/(c-1),l=0,n=e;l<c&&n<=i;l++,n+=r)d=null!==this.F?this.F(n):[this.X(n),this.Y(n),this.Z(n)],o=this.view.project3DTo2D(d),a.push(o[1]),h.push(o[2]);return{X:a,Y:h}},update:function(){return this},updateRenderer:function(){return this.needsUpdate=!1,this}}),t.Z.createCurve3D=function(e,i,r){var o,n,a,h,l,c,d,u=i[0];return 3===i.length?(o=i[1],l=i[2],n=null,a=null,h=null):(n=i[1],a=i[2],h=i[3],l=i[4],o=null),c=s.Z.copyAttributes(r,e.options,"curve3d"),c=(d=new t.Z.Curve3D(u,o,n,a,h,l,c)).setAttr2D(c),d.element2D=u.create("curve",[[],[]],c),d.element2D.updateDataArray=function(){var t=d.updateDataArray();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.Line3D=function(t,e,r,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=r,this.range=o||[-1/0,1/0],this.point1=null,this.point2=null,this.methodMap=s.Z.deepCopy(this.methodMap,{})},t.Z.Line3D.prototype=new t.Z.GeometryElement,s.Z.copyPrototypeMethods(t.Z.Line3D,t.Z.GeometryElement3D,"constructor3D"),t.Z.extend(t.Z.Line3D.prototype,{getPointCoords:function(t){var e,i,r,o=[];if(e=[this.point.X(),this.point.Y(),this.point.Z()],s.Z.isFunction(this.direction))o=this.direction();else for(i=1;i<4;i++)o.push(s.Z.evaluate(this.direction[i]));return r=s.Z.evaluate(t),Math.abs(r)===1/0&&(t=this.view.intersectionLineCube(e,o,r)),[e[0]+o[0]*r,e[1]+o[1]*r,e[2]+o[2]*r]},update:function(){return this},updateRenderer:function(){return this.needsUpdate=!1,this}}),t.Z.createLine3D=function(e,i,r){var o,n,a,h,l,c,d,u,p=i[0];return o=s.Z.copyAttributes(r,e.options,"line3d"),s.Z.isPoint3D(i[2])||3===i.length&&(s.Z.isArray(i[2])||s.Z.isFunction(i[2]))?(c=s.Z.providePoints3D(p,[i[1]],r,"line3d",["point1"])[0],d=s.Z.providePoints3D(p,[i[2]],r,"line3d",["point2"])[0],h=function(){return[d.X()-c.X(),d.Y()-c.Y(),d.Z()-c.Z()]},l=[0,1],u=new t.Z.Line3D(p,c,h,l,o)):(a=s.Z.providePoints3D(p,[i[1]],r,"line3d",["point"])[0],s.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=s.Z.providePoints3D(p,[[0,0,0],[0,0,0]],r,"line3d",["point1","point2"]),u=new t.Z.Line3D(p,a,h,l,o),n[0].F=function(){return u.getPointCoords(s.Z.evaluate(u.range[0]))},n[0].prepareUpdate().update(),c=n[0],n[1].F=function(){return u.getPointCoords(s.Z.evaluate(u.range[1]))},n[1].prepareUpdate().update(),d=n[1]),o=u.setAttr2D(o),u.element2D=p.create("segment",[c.element2D,d.element2D],o),u.addChild(u.element2D),u.inherits.push(u.element2D),u.element2D.setParents(u),c.addChild(u),d.addChild(u),u.point1=c,u.point2=d,u.update(),u.element2D.prepareUpdate().update().updateRenderer(),u},t.Z.registerElement("line3d",t.Z.createLine3D),t.Z.Plane3D=function(t,e,r,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=r,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=s.Z.deepCopy(this.methodMap,{})},t.Z.Plane3D.prototype=new t.Z.GeometryElement,s.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]=s.Z.evaluate(this.direction1[t]),this.vec2[t]=s.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,r,n,a,h,l,c,d,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&&s.Z.evaluate(this.range1[0])===-1/0&&s.Z.evaluate(this.range1[1])===1/0&&s.Z.evaluate(this.range2[0])===-1/0&&s.Z.evaluate(this.range2[1])===1/0){for(d=0;d<g.length;d++){if(3===(y=P.intersectionPlanePlane(this,P.defaultAxes[g[d]]))[0].length&&3===y[1].length){for(c=0;c<b.length&&!(u.Z.distance(y[0],b[c][0],3)<o.Z.eps&&u.Z.distance(y[1],b[c][1],3)<o.Z.eps||u.Z.distance(y[0],b[c][1],3)<o.Z.eps&&u.Z.distance(y[1],b[c][0],3)<o.Z.eps);c++);c===b.length&&b.push(y.slice())}if((y=[0,0,0])[d]=P.bbox3D[d][1],l=o.Z.innerProduct(y,P.defaultAxes[g[d]].normal,3),3===(y=P.intersectionPlanePlane(this,P.defaultAxes[g[d]],l))[0].length&&3===y[1].length){for(c=0;c<b.length&&!(u.Z.distance(y[0],b[c][0],3)<o.Z.eps&&u.Z.distance(y[1],b[c][1],3)<o.Z.eps||u.Z.distance(y[0],b[c][1],3)<o.Z.eps&&u.Z.distance(y[1],b[c][0],3)<o.Z.eps);c++);c===b.length&&b.push(y.slice())}}0,_=0,c=0;do{for(3===(y=b[_][c]).length&&(n=P.project3DTo2D(y),this.dataX.push(n[1]),this.dataY.push(n[2])),c=(c+1)%2,y=b[_][c],m=_,d=0;d<b.length;d++){if(d!==_&&u.Z.distance(y,b[d][0])<o.Z.eps){_=d,c=0;break}if(d!==_&&u.Z.distance(y,b[d][1])<o.Z.eps){_=d,c=1;break}}if(_===m){console.log("Error: 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n=s.Z.providePoints3D(l,[i[1]],r,"plane3d",["point"])[0],o=s.Z.copyAttributes(r,e.options,"plane3d"),a=new t.Z.Plane3D(l,n,c,u,d,p,o),n.addChild(a),o=a.setAttr2D(o),a.element2D=l.create("curve",[[],[]],o),a.element2D.updateDataArray=function(){var t=a.updateDataArray();this.dataX=t.X,this.dataY=t.Y},a.addChild(a.element2D),a.inherits.push(a.element2D),a.element2D.setParents(a),o=s.Z.copyAttributes(r.mesh3d,e.options,"mesh3d"),Math.abs(a.range1[0])!==1/0&&Math.abs(a.range1[1])!==1/0&&Math.abs(a.range2[0])!==1/0&&Math.abs(a.range2[1])!==1/0&&(h=l.create("mesh3d",[function(){return 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t,e,i=s.Z.evaluate(this.visProp.stepsu),r=s.Z.evaluate(this.visProp.stepsv),o=s.Z.evaluate(this.range_u),n=s.Z.evaluate(this.range_v);return t=null!==this.F?this.F:[this.X,this.Y,this.Z],{X:(e=this.view.getMesh(t,o.concat([i]),n.concat([r])))[0],Y:e[1]}},update:function(){return this},updateRenderer:function(){return this.needsUpdate=!1,this}}),t.Z.createParametricSurface3D=function(e,i,r){var o,n,a,h,l,c,d,u,p=i[0];return 4===i.length?(o=i[1],l=i[2],c=i[3],n=null,a=null,h=null):(n=i[1],a=i[2],h=i[3],l=i[4],c=i[5],o=null),d=s.Z.copyAttributes(r,e.options,"surface3d"),d=(u=new t.Z.Surface3D(p,o,n,a,h,l,c,d)).setAttr2D(d),u.element2D=p.create("curve",[[],[]],d),u.element2D.updateDataArray=function(){var t=u.updateDataArray();this.dataX=t.X,this.dataY=t.Y},u.addChild(u.element2D),u.inherits.push(u.element2D),u.element2D.setParents(u),u.element2D.prepareUpdate().update(),e.isSuspendedUpdate||u.element2D.updateVisibility().updateRenderer(),u},t.Z.registerElement("parametricsurface3d",t.Z.createParametricSurface3D),t.Z.createFunctiongraph3D=function(t,e,i){var s=e[0],r=e[1],o=e[2],n=e[3];return s.create("parametricsurface3d",[function(t,e){return t},function(t,e){return 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et=t.Z}(),__webpack_exports__=__webpack_exports__.default,__webpack_exports__}()}));