/*
    Numbas JSXGraph extension.
    Copyright 2010-2021 Newcastle University
*/

Numbas.addExtension('jsxgraph',['display','util','jme'],function(jsxgraph) {
    var jme = Numbas.jme;
    var util = Numbas.util;
    var math = Numbas.math;

    var jme = Numbas.jme;
    var sig = jme.signature;

    var types = jme.types;
    var funcObj = jme.funcObj;
    var TString = types.TString;
    var TFunc = types.TFunc;
    var TVector = types.TVector;
    var TNum = types.TNum;
    var TDict = types.TDict;
    var TList = types.TList
    var TBool = types.TBool;
    var THTML = types.THTML;
    var TNothing = types.TNothing;
    var TExpression = types.TExpression;

    var object_property_getters = [
        ['value','Value', TNum],
        ['radius','Radius', TNum],
        ['has_point_sector','hasPointSector',TBool,[sig.type('number'),sig.type('number')]],
        ['area','Area',TNum],
        ['bounds','bounds'],
        ['max_x','maxX',TNum],
        ['min_x','minX',TNum],
        ['attribute','getAttribute',null,[sig.type('string')]],
        ['name','getName',TString],
        ['type','getType',TString],
        ['parents','getParents'],
        ['width','W',TNum],
        ['angle','getAngle',TNum],
        ['rise','getRise',TNum],
        ['slope','getSlope',TNum],
        ['length','L',TNum],
        ['bounding_box','boundingBox'],
        ['perimeter','Perimeter',TNum],
        ['size','getSize',TNum]
    ];

    var boards = 0;
    var boardholder;
    Numbas.util.document_ready(function() {
        boardholder = document.createElement('div');
        boardholder.id = 'jsxgraphholder';
        boardholder.setAttribute('class','invisible');
        boardholder.setAttribute('style','height:0; overflow-y: hidden;');
        document.body.appendChild(boardholder);
    });

    jsxgraph.default_options = {
        boundingBox:[-5,5,5,-5],
        showCopyright:false,
        showNavigation:false,
        axis:true
    };

    jsxgraph.makeBoard = function(width,height,options) {
        width = width || '600px';
        height = height || '600px';
        options = Numbas.util.extend_object(
            {},
            jsxgraph.default_options,
            options
        );

        var div = document.createElement('div');
        div.style.margin='0 auto';
        div.id = 'jsxgraph'+(boards++);
        div.style.width = width;
        div.style.height = height;
        div.classList.add('jsxgraph-board');
        boardholder.appendChild(div);
        if(options.id === undefined) {
            options.id = 'numbasjsxgraph'+boards;
        }
        div.board = JXG.JSXGraph.initBoard(div,options);

        var attached_interval = setInterval(function() {
            if(div.parentElement!=boardholder) {
                div.board.fullUpdate();
                clearInterval(attached_interval);
            }
        },10);

        return div;
    }

    jsxgraph.makeBoardPromise = function(width,height,options) {
        width = width || '600px';
        height = height || '600px';
        options = Numbas.util.extend_object(
            {},
            jsxgraph.default_options,
            options
        );

        var div = document.createElement('div');
        div.style.margin='0 auto';
        div.id = 'jsxgraph'+(boards++);
        if(options.id === undefined) {
            options.id = 'numbasjsxgraph'+boards;
        }
        div.style.width = width;
        div.style.height = height;
        div.classList.add('jsxgraph-board');

        var promise = new Promise(function(resolve,reject) {
            var attached_interval = setInterval(function() {
                var p = div;
                while(p && !(p.nodeType == p.DOCUMENT_NODE || p.nodeType == p.DOCUMENT_FRAGMENT_NODE)) {
                    p = p.parentNode;
                }
                if(p) {
                    clearInterval(attached_interval);
                    var board = div.board = JXG.JSXGraph.initBoard(div,options);
                    board.fullUpdate();
                    resolve(board);
                }
            },10);
        });

        return {element: div, promise: promise};
    }

    /* Get the interactive state of a board, for saving in the question suspend data's `interactive_state` object.
     *
     * @param {JXG.Board} board
     * @returns {Object}
     */
    jsxgraph.board_state = function(board) {
        return {
            has_interacted: board.has_interacted,
            objects: Object.fromEntries(board.board.objectsList.map(obj => {
                if(obj.parents.length > 0 && !['glider','slider'].includes(obj.elType)) {
                    return;
                }
                const properties = ['X','Y','Value'].map(key => {
                    try {
                        const value = (typeof obj[key]=='function') ? obj[key]() : obj[key];
                        if(value === undefined || (typeof value == 'number' && isNaN(value))) {
                            return;
                        }
                        return [key,value];
                    } catch {
                    }
                }).filter(x => x !== undefined);
                return [obj.id, Object.fromEntries(properties)];
            }).filter(x => x !== undefined))
        }
    };

    /** Restore a board to a previously saved state.
     *
     * @param {JXG.Board} board
     * @param {Object} state
     */
    jsxgraph.restore_state = function(board, state) {
        Object.entries(state).forEach(([id,props]) => {
            const obj = board.objects[id];
            if(!obj) {
                return;
            }
            if(props.X !== undefined) {
                obj.setPosition(JXG.COORDS_BY_USER,[props.X,props.Y]);
            }
            if(props.Value !== undefined) {
                if(obj.rendNodeCheckbox) {
                    obj.setAttribute({checked: props.Value});
                } else if(obj.rendNodeInput) {
                    obj.set(props.Value);
                } else {
                    obj.setValue(props.Value);
                }
            }
        });
        board.update();
    };

    var not_initialised_error = false;

    var TJSXGraphBoard = jsxgraph.TJSXGraphBoard = function(width,height,options,question,immediate) {
        var jb = this;
        this.width = width;
        this.height = height;
        this.options = options || {};
        this.question = question;
        this.init_callbacks = [];
        this.init_actions = [];
        this.has_interacted = false;
        var res;
        if(immediate) {
            res = jsxgraph.makeBoard(width+'px',height+'px',options);
            this.boardPromise = Promise.resolve(res.board);
            this.element = res;
        } else {
            res = jsxgraph.makeBoardPromise(width+'px',height+'px',options);
            this.boardPromise = res.promise;
            this.element = res.element;
        }
        this.boardPromise.then(function(board) {
            jb.board = board;
            jb.init_callbacks.forEach(function(fn) {
                fn(jb.board);
            });
            function interact() {
                jb.has_interacted = true;
            }
            jb.board.on('down', interact);
            jb.board.on('keymove', interact);
            if(question) {
                question.signals.on('revealed',function() {
                    jb.lockBoard();
                });
                question.signals.on('partsGenerated', function() {
                    question.allParts().map(function(p) {
                        jb.linkToPart(p);
                    });
                    question.events.on('add part',function(p) {
                        jb.linkToPart(p);
                    });
                });
            }
        });
        this.cache = {};
    }
    TJSXGraphBoard.prototype = {
        toJSON: function() {
            return {
                width: this.width,
                height: this.height,
                options: this.options,
                board: this.board ? JXG.Dump.toJessie(this.board) : null
            }
        },

        getBoard: function() {
            if(!this.board) {
                not_initialised_error = true;
                throw(new Error("The JSXGraph board hasn't initialised yet."));
            }
            return this.board;
        },

        getObject: function(id) {
            var board = this.getBoard();
            var object = board.objectsList.find(function(object) { return object.id==id; });
            if(!object) {
                throw(new Error("There's no object with the ID "+id+" in this JSXGraph board."));
            }
            return object;
        },

        lockBoard: function() {
            var board = this.getBoard();

            board.attr.drag.enabled = false;
        },

        get_interactive_state: function() {
            if(!this.board) {
                return;
            }
            return jsxgraph.board_state(this);
        },

        resume_interactive_state: function(state) {
            this.boardPromise.then((board) => {
                jsxgraph.restore_state(board, state.objects);
                this.has_interacted = this.has_interacted || state.has_interacted;
            });
        },

        linkToPart: function(p) {
            var jb = this;
            if(!p.markingScript) {
                return;
            }
            var setting_answer = false;
            var reading_answer = false;

            var auto_submit_timeout = null;
            function debounce_auto_submit() {
                if(!jb.has_interacted) {
                    return;
                }
                if(auto_submit_timeout) {
                    clearTimeout(auto_submit_timeout);
                }
                if(!(p.question && p.question.exam && p.question.exam.settings.autoSubmit)) {
                    return;
                }
                auto_submit_timeout = setTimeout(function() {
                    let pp = p;
                    while(pp.isGap) {
                        pp = pp.parentPart;
                    }
                    pp.submit()
                }, 1000);
            }

            function bind_inputs() {
                if(setting_answer || !p.hasStagedAnswer()) {
                    return;
                }
                if(!jb.board) {
                    return;
                }
                reading_answer = true;

                var dirty = p.isDirty;
                var dirties = [];
                var pp = p.parentPart;
                while(pp) {
                    dirties.push(pp.isDirty);
                    pp = pp.parentPart;
                }
                var stagedAnswer = p.stagedAnswer;
                var os = p.studentAnswer;
                p.setStudentAnswer();
                var raw_answer = p.rawStudentAnswerAsJME();

                var errors = [];
                not_initialised_error = false;
                try {
                    var scope = new Numbas.jme.Scope([p.getScope()]);
                    var res = p.markingScript.evaluate_note('jxg_input',scope,p.marking_parameters(raw_answer));
                    for(var x in res.scope.state_errors) {
                        errors.push(res.scope.state_errors[x]);
                    }
                    if(errors.length) {
                        throw(new Error("There was an error linking this part to a diagram."));
                    }
                    var bindings = res.value;
                    bindings.value.forEach(function(b) {
                        b.fn();
                    });
                } catch(e) {
                    if(!not_initialised_error) {
                        p.giveWarning(e);
                        errors.forEach(function(err) {
                            p.giveWarning(err);
                        });
                    }
                }

                var warnings = p.warnings.slice();
                p.storeAnswer(os,true);
                p.setStudentAnswer();
                p.storeAnswer(stagedAnswer,true);
                p.setDirty(dirty);
                if(!dirty) {
                    var pp = p.parentPart;
                    for(var i=0;i<dirties.length;i++) {
                        pp.setDirty(dirties[i]);
                        pp = pp.parentPart;
                    }
                }
                p.setWarnings(warnings);
            }
            function bind_outputs() {
                if(reading_answer) {
                    return;
                }
                if(!jb.board) {
                    return;
                }
                setting_answer = true;
                var errors = [];
                try {
                    var scope = new Numbas.jme.Scope([p.getScope()]);
                    var res = p.markingScript.evaluate_note('jxg_output', scope);
                    var error = res.scope.state_errors['jxg_output'];
                    for(var x in res.scope.state_errors) {
                        errors.push(res.scope.state_errors[x]);
                    }
                    if(errors.length) {
                        throw(new Error("There was an error linking this part to a diagram."));
                    }
                    var answer = res.value;
                    if(!Numbas.util.eq(answer, jme.wrapValue(p.stagedAnswer))) {
                        var uanswer = jme.unwrapValue(answer);
                        var ostagedAnswer = p.stagedAnswer;
                        p.storeAnswer(uanswer);
                        p.display.restoreAnswer(uanswer);
                        if(ostagedAnswer === undefined) {
                            p.setDirty(false);
                        } else {
                            debounce_auto_submit();
                        }
                    }
                } catch(e) {
                    if(!not_initialised_error) {
                        p.removeWarnings();
                        p.giveWarning(e);
                        errors.forEach(function(err) {
                            p.giveWarning(err);
                        });
                    }
                }
                setting_answer = false;
            }
            if(p.markingScript.notes['jxg_input']!==undefined && !p.jsxgraph_input_linked) {
                p.jsxgraph_input_linked = true;
                p.events.on('storeAnswer', bind_inputs);
                bind_inputs();
            }
            if(p.markingScript.notes['jxg_output']!==undefined) {
                this.board.on('update', bind_outputs);
                this.board.on('down',function() {
                    reading_answer = false;
                });
                bind_outputs();
            } else if(p.type=='extension') {
                this.board.on('up', () => { jb.has_interacted = true; });
                this.board.on('keymove', () => { jb.has_interacted = true; });
                this.board.on('update', () => {
                    if(jb.has_interacted) {
                        if(p.display && p.display.html && p.display.html.contains(this.element)) {
                            p.setDirty(true);
                            debounce_auto_submit();
                        }
                    }
                });
            }
        },

        when_board: function(fn) {
            if(this.board) {
                fn(this.board);
            } else {
                this.init_callbacks.push(fn);
            }
        },

        run_jessiecode: function(code) {
            this.init_actions.push({
                type: 'jessiecode',
                code: code
            });
            this.when_board(function(board) {
                board.jc.parse(code);
            });
        },

        /** Add a list or dictionary of objects to the diagram.
         * @param {Numbas.jme.token} tobjects - A list or dictionary of definitions.
         * @param {Numbas.jme.Scope} scope
         */
        add_jme_objects: function(tobjects,scope) {
            this.init_actions.push({
                type: 'jme_objects',
                objects: tobjects
            });
            this.when_board(function(board) {
                var objects = tobjects.value;
                if(tobjects.type=='dict') {
                    var nobjects = [];
                    Object.keys(objects).forEach(function(name) {
                        var od = objects[name].value.slice();
                        if(od[2].type=='nothing') {
                            od[2] = new TDict({});
                        }
                        var options = od[2];
                        options.value.name = new TString(name);
                        options.value.id = new TString(name);
                        nobjects.push(od);
                    });
                    objects = nobjects;
                } else {
                    objects = objects.map(function(od) { return od.value; });
                }
                objects.forEach(function(od) {
                    var name = jme.unwrapValue(od[0]);
                    var parents = od[1].value.map(function(bit) {
                        if(jme.isType(bit,'expression')) {
                            var expr = jme.castToType(bit,'expression');
                            return make_function_plotter(board, expr.tree, scope);
                        } else {
                            return jme.unwrapValue(bit);
                        }
                    });
                    var options = od[2].type=='nothing' ? {} : jme.unwrapValue(od[2]);
                    var obj = board.create.apply(board,[name,parents,options]);
                    var events = od[3].type=='nothing' ? {} : jme.unwrapValue(od[3]);
                    Object.keys(events).forEach(function(ename) {
                        var code = events[ename];
                        obj.on(ename,function() {
                            board.jc.parse(code);
                        });
                    });
                });
            });
        },

        run_init_actions: function(actions, scope) {
            var jb = this;
            actions.forEach(function(a) {
                switch(a.value.type.value) {
                    case 'jessiecode':
                        jb.run_jessiecode(a.value.code.value);
                        break;
                    case 'jme_objects':
                        jb.add_jme_objects(a.value.objects, scope);
                        break;
                }
            });
        }
    }

    jme.registerType(
        TJSXGraphBoard,
        'jsxgraphboard',
        {
            'html': function(v) {
                return new THTML(v.element);
            }
        }
    );
    jme.display.registerType(
        TJSXGraphBoard,
        {
            tex: function(v) {
                return '\\text{JSXGraph board}';
            },
            jme: function(v) {
                if(v.tok._to_jme) {
                    throw(new Numbas.Error("A JSXGraph board refers to itself in its own definition."));
                }
                v.tok._to_jme = true;
                var s;
                if(v.tok.board) {
                    s = jme.display.treeToJME({
                        tok: new TFunc('resume_jsxgraph_board'),
                        args: [{tok:jme.wrapValue(v.tok.toJSON())}]
                    });
                } else {
                    s = jme.display.treeToJME({
                        tok: new TFunc('resume_jsxgraph_board_init'),
                        args: [
                            {tok: jme.wrapValue(v.tok.width)},
                            {tok: jme.wrapValue(v.tok.height)},
                            {tok: jme.wrapValue(v.tok.options)},
                            {
                                tok: new TList(v.tok.init_actions.map(function(a) {
                                    switch(a.type) {
                                        case 'jessiecode':
                                            return new TDict({type: jme.wrapValue(a.type), code: jme.wrapValue(a.code)});
                                        case 'jme_objects':
                                            return new TDict({type: jme.wrapValue(a.type), objects: a.objects})
                                    }
                                }))
                            }
                        ]
                    },{wrapexpressions:true});
                }
                v.tok._to_jme = false;
                return s;
            },
            displayString: function(v) {
                return 'JSXGraph board';
            }
        }
    );

    Numbas.util.equalityTests['jsxgraphboard'] = function(a,b) {
        return a==b;
    };

    var TJSXGraphObject = jsxgraph.TJSXGraphObject = function(board,id) {
        this.board = board;
        this.id = id;
    }
    TJSXGraphObject.prototype = {
        get: function() {
            return this.board.getObject(this.id);
        }
    }

    var TJSXGraphAction = jsxgraph.TJSXGraphAction = function(fn) {
        this.fn = fn;
    }

    var make_function_plotter = jsxgraph.make_function_plotter = function(board,expr,scope) {
        if(typeof(expr)=='string') {
            expr = jme.compile(expr);
        }
        var freevars = jme.findvars(expr).filter(function(n) { return !scope.getVariable(n) });
        freevars.sort();

        var vars_in_board = freevars.map(function(n) { return board.objects[n] && board.objects[n].Value; });
        var has_vars_in_board = vars_in_board.some(x => x);
        var nscope = new Numbas.jme.Scope([scope]);

        try {
            var fn = Numbas.jme.makeFast(expr, scope, freevars);

            if(has_vars_in_board) {
                return function() {
                    var args = new Array(freevars.length);
                    let num_in_board = 0;
                    for(let i=0;i<freevars.length;i++) {
                        if(vars_in_board[i]) {
                            num_in_board += 1;
                            args[i] = board.objects[freevars[i]].Value();
                        } else {
                            args[i] = arguments[i-num_in_board];
                        }
                    }
                    return fn(...args);
                }
            } else {
                return fn;
            }
        } catch(e) {
            function eval() {
                var params = {};
                var args = Array.from(arguments);
                freevars.forEach(function(freevar, i) {
                    if(vars_in_board[i]) {
                        params[freevar] = board.objects[freevar].Value();
                    } else {
                        params[freevar] = jme.wrapValue(args[i]);
                    }
                });
                scope.cache_signatures = true;
                return jme.unwrapValue(scope.evaluate(expr,params));
            }
            return eval;
        }
    }

    var sig_jsxgraph_object = sig.list(
        sig.type('string'),
        sig.type('list'),
        sig.label('attributes',sig.optional(sig.type('dict'))),
        sig.label('events',sig.optional(sig.type('dict')))
    );

    var sig_jme_objects =
        sig.label('objects',sig.or(
            sig.dict(sig_jsxgraph_object),
            sig.listof(sig_jsxgraph_object)
        ))
    ;

    var sig_jsxgraph = sig.sequence(
        sig.label('width',sig.type('number')),
        sig.label('height',sig.type('number')),
        sig.optional(sig.label('boundingBox',sig.list(
            sig.type('number'),
            sig.type('number'),
            sig.type('number'),
            sig.type('number')
        ))),
        sig_jme_objects,
        sig.optional(sig.label('options',sig.type('dict')))
    );
    jsxgraph.scope.addFunction(new funcObj('jsxgraph',[sig_jsxgraph],TJSXGraphBoard,null,{
        random: false,
        evaluate: function(args,scope) {
            var m = sig_jsxgraph(args.filter(function(t){ return t.type!='nothing' }));
            var argdict = {};
            m.forEach(function(d,i) {
                if(!d.missing) {
                    argdict[d.name] = args[i];
                }
            });
            var width = argdict.width.value;
            var height = argdict.height.value;
            var options = argdict.options ? jme.unwrapValue(argdict.options) : {};
            if(argdict.boundingBox) {
                options.boundingBox = jme.unwrapValue(argdict.boundingBox);
            }

            var jb = new TJSXGraphBoard(width,height,options,scope.question);
            jb.add_jme_objects(argdict.objects,scope);

            return jb;
        }
    }));

    var sig_jessiecode = sig.sequence(
        sig.label('width',sig.type('number')),
        sig.label('height',sig.type('number')),
        sig.optional(sig.label('boundingBox',sig.list(
            sig.type('number'),
            sig.type('number'),
            sig.type('number'),
            sig.type('number')
        ))),
        sig.label('script',sig.type('string')),
        sig.optional(sig.label('options',sig.type('dict')))
    );
    jsxgraph.scope.addFunction(new funcObj('jessiecode',[sig_jessiecode],TJSXGraphBoard,null, {
        random: false,
        evaluate: function(args,scope) {
            var m = sig_jessiecode(args.filter(function(t){ return t.type!='nothing' }));
            var argdict = {};
            m.forEach(function(d,i) {
                if(!d.missing) {
                    argdict[d.name] = args[i];
                }
            });
            var width = argdict.width.value;
            var height = argdict.height.value;
            var options = argdict.options ? jme.unwrapValue(argdict.options) : {};
            if(argdict.boundingBox) {
                options.boundingBox = jme.unwrapValue(argdict.boundingBox);
            }

            var jb = new TJSXGraphBoard(width,height,options,scope.question);
            jb.run_jessiecode(argdict.script.value);

            return jb;
        }
    }));

    jsxgraph.scope.addFunction(new funcObj('resume_jsxgraph_board',[TDict],TJSXGraphBoard,null, {
        random: false,
        evaluate: function(args,scope) {
            var argdict = jme.unwrapValue(args[0]);
            var width = argdict.width;
            var height = argdict.height;
            var options = argdict.options || {};
            var code = argdict.board;
            options.grid = false;
            options.axis = false;

            var jb = new TJSXGraphBoard(width,height,options,scope.question,true);
            jb.boardPromise.then(function(board) {
                board.jc.parse(code);
            });

            return jb;
        }
    }));

    jsxgraph.scope.addFunction(new funcObj('resume_jsxgraph_board_init',[TNum, TNum, TDict, TList], TJSXGraphBoard, null, {
        random: false,
        evaluate: function(args,scope) {
            var width = jme.unwrapValue(args[0]);
            var height = jme.unwrapValue(args[1]);
            var options = jme.unwrapValue(args[2]);
            var actions = args[3].value;

            var jb = new TJSXGraphBoard(width,height,options,scope.question,true);
            jb.run_init_actions(actions, scope);

            return jb;
        }
    }));

    jsxgraph.scope.addFunction(new funcObj('listval',[TJSXGraphBoard,TString], TJSXGraphObject, null, {
        random: false,
        evaluate: function(args,scope) {
            return new TJSXGraphObject(args[0],args[1].value);
        }
    }));

    object_property_getters.forEach(function(def) {
        var jme_name = def[0];
        var jxg_name = def[1];
        var outtype = def[2];
        var sig = def[3] || [];
        jsxgraph.scope.addFunction(new funcObj('jxg_'+jme_name, [TJSXGraphObject].concat(sig), outtype, null, {
            random: false,
            evaluate: function(args,scope) {
                var object = args[0].get();
                var args = args.slice(1).map(function(arg) { return jme.unwrapValue(arg); });
                var res = object[jxg_name].apply(object,args);
                return outtype ? new outtype(res) : jme.wrapValue(res);
            }
        }));
    });

    jsxgraph.scope.addFunction(new funcObj('jxg_position',[TJSXGraphObject], TVector, null, {
        random: false,
        evaluate: function(args,scope) {
            var object = args[0].get();
            var x = object.X();
            var y = object.Y();
            return new TVector([x,y]);
        }
    }));

    jsxgraph.scope.addFunction(new funcObj('jxg_position_at',[TJSXGraphObject, TNum], TVector, null, {
        random: false,
        evaluate: function(args,scope) {
            var object = args[0].get();
            var t = args[1].value;
            var x = object.X(t);
            var y = object.Y(t);
            return new TVector([x,y]);
        }
    }));

    function has_point(tobject,x,y) {
        var c = new JXG.Coords(JXG.COORDS_BY_USER, [x,y], tobject.board.board);
        var obj = tobject.get();
        return new TBool(obj.hasPoint(c.scrCoords[1], c.scrCoords[2]));
    }

    jsxgraph.scope.addFunction(new funcObj('jxg_has_point',[TJSXGraphObject, TVector], TBool, null, {
        random: false,
        evaluate: function(args,scope) {
            return has_point(args[0], args[1].value[0], args[1].value[1]);
        }
    }));

    jsxgraph.scope.addFunction(new funcObj('jxg_has_point',[TJSXGraphObject, TNum, TNum], TBool, null, {
        random: false,
        evaluate: function(args,scope) {
            return has_point(args[0], args[1].value, args[2].value);
        }
    }));

    jsxgraph.scope.addFunction(new funcObj('jxg_distance',[TJSXGraphObject, TJSXGraphObject], TNum, null, {
        random: false,
        evaluate: function(args,scope) {
            var a = args[0].get();
            var b = args[1].get();
            return new TNum(a.Dist(b));
        }
    }));

    function make_action(fn) {
        return function() {
            var t = this;
            var args = arguments;
            return new TJSXGraphAction(function() {
                return fn.apply(t,args);
            });
        }
    }

    jsxgraph.scope.addFunction(new funcObj('jxg_set_position',[TJSXGraphObject, TVector], TJSXGraphAction, null, {
        random: false,
        evaluate: make_action(function(args,scope) {
            var tboard = args[0].board;
            tboard.boardPromise.then(function(board) {
                var object = args[0].get();
                var coords = jme.unwrapValue(args[1]);
                if(coords.every(function(z) { return !isNaN(z); })) {
                    object.setPosition(JXG.COORDS_BY_USER, coords);
                    board.update();
                }
            });
        })
    }));

    jsxgraph.scope.addFunction(new funcObj('jxg_show',[TJSXGraphObject, TBool], TJSXGraphAction, null, {
        random: false,
        evaluate: make_action(function(args,scope) {
            var tboard = args[0].board;
            tboard.boardPromise.then(function() {
                var object = args[0].get();
                var show = args[1].value;
                if(show) {
                    object.show();
                } else {
                    object.hide();
                }
            });
        })
    }));

    jsxgraph.scope.addFunction(new funcObj('jxg_set',[TJSXGraphObject, TString, sig.multiple(sig.anything())], TJSXGraphAction, null, {
        random: false,
        evaluate: make_action(function(args,scope) {
            var tboard = args[0].board;
            tboard.boardPromise.then(function(board) {
                var object = args[0].get();
                var name = Numbas.util.capitalise(args[1].value);
                var jargs = args.slice(2).map(function(a) {
                    var v = jme.unwrapValue(a);
                    if(v.toNumber) {
                        v = v.toNumber();
                    }
                    return v;
                });
                object['set'+name].apply(object,jargs);
                board.update();
            });
        })
    }));

    jsxgraph.scope.addFunction(new funcObj('jxg_set_attribute',[TJSXGraphObject, TDict], TJSXGraphAction, null, {
        random: false,
        evaluate: make_action(function(args,scope) {
            var tboard = args[0].board;
            tboard.boardPromise.then(function() {
                var object = args[0].get();
                var attributes = jme.unwrapValue(args[1]);
                object.setAttribute(attributes);
            });
        })
    }));

    jsxgraph.scope.addFunction(new funcObj('jxg_set_term',[TJSXGraphObject, TExpression], TJSXGraphAction, null, {
        random: false,
        evaluate: make_action(function(args,scope) {
            var tboard = args[0].board;
            tboard.boardPromise.then(function(board) {
                var object = args[0].get();
                var expr = args[1];
                var plotter = make_function_plotter(board, expr.tree, scope);
                if(object.elType == 'implicitcurve') {
                    object.f = plotter;
                    object.updateDataArray();
                } else {
                    object.generateTerm('x','x', plotter);
                }
                board.update();
            });
        })
    }));

    jsxgraph.scope.addFunction(new funcObj('jxg_add_objects',[TJSXGraphBoard, sig_jme_objects], TJSXGraphBoard, null, {
        random: false,
        evaluate: function(args,scope) {
            args[0].add_jme_objects(args[1],scope);
            return args[0];
        }
    }));

    jsxgraph.scope.addFunction(new funcObj('jxg_run_jessiecode',[TJSXGraphBoard, TString], TJSXGraphBoard, null, {
        random: false,
        evaluate: function(args,scope) {
            var code = args[1].value;
            args[0].run_jessiecode(code);
            return args[0];
        }
    }));
});

/*
    JSXGraph 1.12.2

    Copyright 2008-2025
        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="1.12.2";s={version:o,licenseText:"JSXGraph v"+o+" © 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this.needsUpdate?(c.Z.exists(t)||(t=!1),!0!==this.evalVisProp("frozen")&&this.updateConstraint(),this.type===l.Z.OBJECT_TYPE_GLIDER&&(this.isConstrained&&(t=!1),t?this.updateGliderFromParent():this.updateGlider()),this.updateTransform(t),this):this},updateGlider:function(){var t,e,i,s,n,a,d,u,p,f,_,m,g,b,v,Z,C,y,P,E,x=2*Math.PI,O=!1,w=this.slideObject,M=[];if(this.needsUpdateFromParent=!1,w.elementClass===l.Z.OBJECT_CLASS_CIRCLE)this.evalVisProp("isgeonext")&&(x=1),b=o.Z.projectPointToCircle(this,w,this.board),v=o.Z.rad([w.center.X()+1,w.center.Y()],w.center,this)/x;else if(w.elementClass===l.Z.OBJECT_CLASS_LINE){if(this.onPolygon){if(s=w.point1.coords.usrCoords,e=(n=w.point2.coords.usrCoords)[t=1]-s[t],Math.abs(e)<r.Z.eps&&(e=n[t=2]-s[t]),d=(o.Z.projectPointToLine(this,w,this.board).usrCoords[t]-s[t])/e,a=w.parentPolygon,d<0){for(t=0;t<a.borders.length;t++)if(w===a.borders[t]){w=a.borders[(t-1+a.borders.length)%a.borders.length];break}}else if(d>1)for(t=0;t<a.borders.length;t++)if(w===a.borders[t]){w=a.borders[(t+1+a.borders.length)%a.borders.length];break}w.id!==this.slideObject.id&&(this.slideObject=w)}s=w.point1.coords,n=w.point2.coords,(e=s.distance(l.Z.COORDS_BY_USER,n))<r.Z.eps?(b=s,O=!0,v=0):(b=o.Z.projectPointToLine(this,w,this.board),s=s.usrCoords.slice(0),n=n.usrCoords.slice(0),Math.abs(n[0])<r.Z.eps?(e=n[t=1],Math.abs(e)<r.Z.eps&&(e=n[t=2]),v=((e=(b.usrCoords[t]-s[t])/e)>=0?1:-1)*(e=Math.abs(e))/(e+1)):Math.abs(s[0])<r.Z.eps?(e=s[t=1],Math.abs(e)<r.Z.eps&&(e=s[t=2]),v=(e=(b.usrCoords[t]-n[t])/e)<0?(1-2*e)/(1-e):1/(e+1)):(e=n[t=1]-s[t],Math.abs(e)<r.Z.eps&&(e=n[t=2]-s[t]),v=(b.usrCoords[t]-s[t])/e)),null!==(C=this.findClosestSnapValue(v))?(v=(this.evalVisProp("snapvalues")[C]-this._smin)/(this._smax-this._smin),this.update(!0)):(Z=this.evalVisProp("snapwidth"))>0&&Math.abs(this._smax-this._smin)>=r.Z.eps&&(i=(v=Math.max(Math.min(v,1),0))*(this._smax-this._smin),v=((i=Math.round(i/Z)*Z+this._smin)-this._smin)/(this._smax-this._smin),this.update(!0)),s=w.point1.coords,!w.evalVisProp("straightfirst")&&Math.abs(s.usrCoords[0])>r.Z.eps&&v<0&&(b=s,O=!0,v=0),n=w.point2.coords,!w.evalVisProp("straightlast")&&Math.abs(n.usrCoords[0])>r.Z.eps&&v>1&&(b=n,O=!0,v=1)}else if(w.type===l.Z.OBJECT_TYPE_TURTLE)this.updateConstraint(),b=(y=o.Z.projectPointToTurtle(this,w,this.board))[0],v=y[1];else if(w.elementClass===l.Z.OBJECT_CLASS_CURVE)if(w.type===l.Z.OBJECT_TYPE_ARC||w.type===l.Z.OBJECT_TYPE_SECTOR)b=o.Z.projectPointToCircle(this,w,this.board),u=o.Z.rad(w.radiuspoint,w.center,this),p=0,f=o.Z.rad(w.radiuspoint,w.center,w.anglepoint),v=u,("minor"===(Z=w.evalVisProp("selection"))&&f>Math.PI||"major"===Z&&f<Math.PI)&&(p=f,f=2*Math.PI),(u<p||u>f)&&(v=f,(u<p&&u>.5*p||u>f&&u>.5*f+Math.PI)&&(v=p),this.needsUpdateFromParent=!0,this.updateGliderFromParent()),x=f-p,this.visProp.isgeonext&&(x=1),Math.abs(x)>r.Z.eps&&(v/=x);else if(this.updateConstraint(),w.transformations.length>0){for(E=!1,(y=w.getTransformationSource())[0]&&(E=y[0],M.push(w),M.push(y[1]));y[0]&&c.Z.exists(y[1]._transformationSource);)y=y[1].getTransformationSource(),M.push(y[1]);if(P=this.coords.usrCoords,E){for(t=0;t<M.length;t++)M[t].updateTransformMatrix(),g=r.Z.inverse(M[t].transformMat),P=r.Z.matVecMult(g,P);for(_=new h.Z(l.Z.COORDS_BY_USER,P,this.board).usrCoords,P=(m=o.Z.projectCoordsToCurve(_[1],_[2],this.position||0,M[M.length-1],this.board))[0].usrCoords,t=M.length-2;t>=0;t--)P=r.Z.matVecMult(M[t].transformMat,P);m[0]=new h.Z(l.Z.COORDS_BY_USER,P,this.board)}else w.updateTransformMatrix(),g=r.Z.inverse(w.transformMat),P=r.Z.matVecMult(g,P),_=new h.Z(l.Z.COORDS_BY_USER,P,this.board).usrCoords,m=o.Z.projectCoordsToCurve(_[1],_[2],this.position||0,w,this.board);b=m[0],v=m[1]}else b=(y=o.Z.projectPointToCurve(this,w,this.board))[0],v=y[1];else c.Z.isPoint(w)&&(b=o.Z.projectPointToPoint(this,w,this.board),v=this.position);this.coords.setCoordinates(l.Z.COORDS_BY_USER,b.usrCoords,O),this.position=v},findClosestSnapValue:function(t){var e,i,s,o,n=null;if(s=this.evalVisProp("snapvalues"),o=this.evalVisProp("snapvaluedistance"),c.Z.isArray(s)&&Math.abs(this._smax-this._smin)>=r.Z.eps&&o>0)for(e=0;e<s.length;e++)(i=Math.abs(t*(this._smax-this._smin)+this._smin-s[e]))<o&&(o=i,n=e);return n},updateGliderFromParent:function(){var t,e,i,s,n,a,d,u,p,f,_,m,g=this.slideObject,b=[],v=2*Math.PI;if(this.needsUpdateFromParent){if(g.elementClass===l.Z.OBJECT_CLASS_CIRCLE)i=g.Radius(),this.evalVisProp("isgeonext")&&(v=1),n=[g.center.X()+i*Math.cos(this.position*v),g.center.Y()+i*Math.sin(this.position*v)];else if(g.elementClass===l.Z.OBJECT_CLASS_LINE)t=g.point1.coords.usrCoords,e=g.point2.coords.usrCoords,0===t[0]&&0===t[1]&&0===t[2]||0===e[0]&&0===e[1]&&0===e[2]?n=[0,0,0]:Math.abs(e[0])<r.Z.eps?(s=Math.min(Math.abs(this.position),1-r.Z.eps),s/=1-s,this.position<0&&(s=-s),n=[t[0]+s*e[0],t[1]+s*e[1],t[2]+s*e[2]]):Math.abs(t[0])<r.Z.eps?(s=Math.max(this.position,r.Z.eps),s=(s=Math.min(s,2-r.Z.eps))>1?(s-1)/(s-2):(1-s)/s,n=[e[0]+s*t[0],e[1]+s*t[1],e[2]+s*t[2]]):(s=this.position,n=[t[0]+s*(e[0]-t[0]),t[1]+s*(e[1]-t[1]),t[2]+s*(e[2]-t[2])]);else if(g.type===l.Z.OBJECT_TYPE_TURTLE)this.coords.setCoordinates(l.Z.COORDS_BY_USER,[g.Z(this.position),g.X(this.position),g.Y(this.position)]),this.updateConstraint(),n=o.Z.projectPointToTurtle(this,g,this.board)[0].usrCoords;else if(g.elementClass===l.Z.OBJECT_CLASS_CURVE){for(u=!1,(a=g.getTransformationSource())[0]&&(u=a[0],b.push(g),b.push(a[1]));a[0]&&c.Z.exists(a[1]._transformationSource);)a=a[1].getTransformationSource(),b.push(a[1]);if(u?this.coords.setCoordinates(l.Z.COORDS_BY_USER,[b[b.length-1].Z(this.position),b[b.length-1].X(this.position),b[b.length-1].Y(this.position)]):this.coords.setCoordinates(l.Z.COORDS_BY_USER,[g.Z(this.position),g.X(this.position),g.Y(this.position)]),g.type===l.Z.OBJECT_TYPE_ARC||g.type===l.Z.OBJECT_TYPE_SECTOR)p=o.Z.rad([g.center.X()+1,g.center.Y()],g.center,g.radiuspoint),f=0,m=o.Z.rad(g.radiuspoint,g.center,g.anglepoint),("minor"===g.visProp.selection&&m>Math.PI||"major"===g.visProp.selection&&m<Math.PI)&&(f=m,m=2*Math.PI),v=m-f,this.evalVisProp("isgeonext")&&(v=1),((_=this.position*v)<f||_>m)&&(((_=m)<f&&_>.5*f||_>m&&_>.5*m+Math.PI)&&(_=f),this.position=_,Math.abs(v)>r.Z.eps&&(this.position/=v)),i=g.Radius(),n=[g.center.X()+i*Math.cos(this.position*v+p),g.center.Y()+i*Math.sin(this.position*v+p)];else if(this.updateConstraint(),u)for(n=o.Z.projectPointToCurve(this,b[b.length-1],this.board)[0].usrCoords,d=b.length-2;d>=0;d--)n=new h.Z(l.Z.COORDS_BY_USER,r.Z.matVecMult(b[d].transformMat,n),this.board).usrCoords;else n=o.Z.projectPointToCurve(this,g,this.board)[0].usrCoords}else c.Z.isPoint(g)&&(n=o.Z.projectPointToPoint(this,g,this.board).usrCoords);this.coords.setCoordinates(l.Z.COORDS_BY_USER,n,!1)}else this.needsUpdateFromParent=!0},updateRendererGeneric:function(t){return this.needsUpdate&&this.board.renderer?(this.visPropCalc.visible&&(this.isReal=!isNaN(this.coords.usrCoords[1]+this.coords.usrCoords[2]),this.isReal=Math.abs(this.coords.usrCoords[0])>r.Z.eps&&this.isReal,this.isReal||this.updateVisibility(!1)),this.visPropCalc.visible&&this.board.renderer[t](this),this.hasLabel&&this.visPropCalc.visible&&this.label&&this.label.visPropCalc.visible&&this.isReal&&(this.label.update(),this.board.renderer.updateText(this.label)),this.setDisplayRendNode(),this.needsUpdate=!1,this):this},X:function(){return this.coords.usrCoords[1]},Y:function(){return this.coords.usrCoords[2]},Z:function(){return this.coords.usrCoords[0]},Coords:function(t){return t?this.coords.usrCoords.slice():this.coords.usrCoords.slice(1)},XEval:function(){return this.coords.usrCoords[1]},YEval:function(){return this.coords.usrCoords[2]},ZEval:function(){return this.coords.usrCoords[0]},Dist:function(t){return this.isReal&&t.isReal?this.coords.distance(l.Z.COORDS_BY_USER,t.coords):NaN},snapToGrid:function(t){return this.handleSnapToGrid(t)},handleSnapToPoints:function(t){var e,i,s,r,n,a,h,d,u=0,p=1/0,f=null,_=this.evalVisProp("ignoredsnaptopoints"),m=!1;if(r=this.board.objectsList.length,_&&(h=_.length),this.evalVisProp("snaptopoints")||t){for(n=this.evalVisProp("attractorunit"),a=this.evalVisProp("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=this.evalVisProp("attractorunit"),a=this.evalVisProp("attractordistance"),d=this.evalVisProp("snatchdistance"),u=this.evalVisProp("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=!e.evalVisProp("straightfirst")&&s[1]<0?e.point1.coords:!e.evalVisProp("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,c,d=this.coords;if(this.relativeCoords)return s=new h.Z(t,e,this.board),this.evalVisProp("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;if(this.coords.setCoordinates(t,e),this.handleSnapToGrid(),this.handleSnapToPoints(),this.handleAttractors(),this.actualCoords.setCoordinates(l.Z.COORDS_BY_USER,this.coords.usrCoords),this.transformations.length>0){for(t===l.Z.COORDS_BY_SCREEN?c=new h.Z(t,e,this.board).usrCoords:(2===e.length&&(e=[1].concat(e)),c=e),n=[[1,0,0],[0,1,0],[0,0,1]],i=0;i<this.transformations.length;i++)n=r.Z.matMatMult(this.transformations[i].matrix,n);c=r.Z.matVecMult(r.Z.inverse(n),c),this.initialCoords.setCoordinates(l.Z.COORDS_BY_USER,c),this.elementClass!==l.Z.OBJECT_CLASS_POINT&&this.coords.setCoordinates(l.Z.COORDS_BY_USER,c)}return this.prepareUpdate().update(),this.board.isSuspendedUpdate&&this.type===l.Z.OBJECT_TYPE_GLIDER&&this.updateGlider(),this},setPositionByTransform:function(t,e){var i;return e=new h.Z(t,e,this.board),i=this.board.create("transform",e.usrCoords.slice(1),{type:"translate"}),this.transformations.length>0&&this.transformations[this.transformations.length-1].isNumericMatrix?this.transformations[this.transformations.length-1].melt(i):this.addTransform(this,i),this.prepareUpdate().update(),this},setPosition:function(t,e){return this.setPositionDirectly(t,e)},setGliderPosition:function(t){return this.type===l.Z.OBJECT_TYPE_GLIDER&&(this.position=t,this.board.update()),this},makeGlider:function(t){var e,i,r,o=this.board.select(t),n=!1;if(o.type===l.Z.OBJECT_TYPE_POLYGON){for(e=Number.MAX_VALUE,i=0;i<o.borders.length;i++)(r=s.Z.Math.Geometry.distPointLine(this.coords.usrCoords,o.borders[i].stdform))<e&&(e=r,t=o.borders[i]);o=this.board.select(t),n=!0}if(!c.Z.exists(o))throw new Error("JSXGraph: slide object undefined.");if(o.type===l.Z.OBJECT_TYPE_TICKS)throw new Error("JSXGraph: gliders on ticks are not possible.");return this.slideObject=this.board.select(t),this.slideObjects.push(this.slideObject),this.addParents(t),this.type=l.Z.OBJECT_TYPE_GLIDER,this.elType="glider",this.visProp.snapwidth=-1,this.slideObject.addChild(this),this.isDraggable=!0,this.onPolygon=n,this.generatePolynomial=function(){return this.slideObject.generatePolynomial(this)},this.updateGlider(),this.needsUpdateFromParent=!0,this.updateGliderFromParent(),this},popSlideObject:function(){this.slideObjects.length>0&&(this.slideObjects.pop(),this.slideObject.removeChild(this),0===this.slideObjects.length?(this.type=this._org_type,this.type===l.Z.OBJECT_TYPE_POINT?this.elType="point":this.elementClass===l.Z.OBJECT_CLASS_TEXT?this.elType="text":this.type===l.Z.OBJECT_TYPE_IMAGE?this.elType="image":this.type===l.Z.OBJECT_TYPE_FOREIGNOBJECT&&(this.elType="foreignobject"),this.slideObject=null):this.slideObject=this.slideObjects[this.slideObjects.length-1])},free:function(){var t,e;if(this.type!==l.Z.OBJECT_TYPE_GLIDER){if(this.transformations.length=0,delete this.updateConstraint,this.isConstrained=!1,this.isDraggable)return;this.isDraggable=!0,this.elementClass===l.Z.OBJECT_CLASS_POINT&&(this.type=l.Z.OBJECT_TYPE_POINT,this.elType="point"),this.XEval=function(){return this.coords.usrCoords[1]},this.YEval=function(){return this.coords.usrCoords[2]},this.ZEval=function(){return this.coords.usrCoords[0]},this.Xjc=null,this.Yjc=null}for(t in this.board.objects)this.board.objects.hasOwnProperty(t)&&(e=this.board.objects[t]).descendants&&(delete e.descendants[this.id],delete e.childElements[this.id],this.hasLabel&&(delete e.descendants[this.label.id],delete e.childElements[this.label.id]));this.ancestors={},this.parents=[],this.slideObject=null,this.slideObjects=[],this.elementClass===l.Z.OBJECT_CLASS_POINT?(this.type=l.Z.OBJECT_TYPE_POINT,this.elType="point"):this.elementClass===l.Z.OBJECT_CLASS_TEXT?(this.type=this._org_type,this.elType="text"):this.elementClass===l.Z.OBJECT_CLASS_OTHER&&(this.type=this._org_type,this.elType="image")},addConstraint:function(t){var e,i,s=[],r=["X","Y"],o=function(t){return function(){return t}},n=function(t){return function(){return t.Value()}};for(this.elementClass===l.Z.OBJECT_CLASS_POINT&&(this.type=l.Z.OBJECT_TYPE_CAS),this.isDraggable=!1,e=0;e<t.length;e++)i=t[e],c.Z.isString(i)?(s[e]=this.board.jc.snippet(i,!0,null,!0),this.addParentsFromJCFunctions([s[e]]),2===t.length&&(this[r[e]+"jc"]=t[e])):c.Z.isFunction(i)?s[e]=i:c.Z.isNumber(i)?s[e]=o(i):c.Z.isObject(i)&&c.Z.isFunction(i.Value)&&(s[e]=n(i)),s[e].origin=i;return 1===t.length?this.updateConstraint=function(){var t=s[0]();return c.Z.isArray(t)?this.coords.setCoordinates(l.Z.COORDS_BY_USER,t):this.coords=t,this}:2===t.length?(this.XEval=s[0],this.YEval=s[1],this.addParents([s[0].origin,s[1].origin]),this.updateConstraint=function(){return this.coords.setCoordinates(l.Z.COORDS_BY_USER,[this.XEval(),this.YEval()]),this}):(this.ZEval=s[0],this.XEval=s[1],this.YEval=s[2],this.addParents([s[0].origin,s[1].origin,s[2].origin]),this.updateConstraint=function(){return this.coords.setCoordinates(l.Z.COORDS_BY_USER,[this.ZEval(),this.XEval(),this.YEval()]),this}),this.isConstrained=!0,this.prepareUpdate().update(),this.board.isSuspendedUpdate||(this.updateVisibility().updateRenderer(),this.hasLabel&&this.label.fullUpdate()),this},addAnchor:function(t,e){this.relativeCoords=e?new h.Z(l.Z.COORDS_BY_SCREEN,t.slice(0,2),this.board):new h.Z(l.Z.COORDS_BY_USER,t,this.board),this.element.addChild(this),e&&this.addParents(this.element),this.XEval=function(){var t,e,i;return this.evalVisProp("islabel")?(i=this.evalVisProp("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 this.evalVisProp("islabel")?(i=this.evalVisProp("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,i;if(0===this.transformations.length)return this;for(null===this.baseElement&&(this.baseElement=this),this.transformations[0].update(),e=this===this.baseElement?this.transformations[0].apply(this,"self"):this.transformations[0].apply(this.baseElement),i=1;i<this.transformations.length;i++)this.transformations[i].update(),e=r.Z.matVecMult(this.transformations[i].matrix,e);return this.actualCoords.setCoordinates(l.Z.COORDS_BY_USER,e),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,s){var r=c.Z.evaluate(t),o=c.Z.evaluate(e),n=this;return i=c.Z.evaluate(i)||250,s="undefined"!==(s=c.Z.evaluate(s))?s:-1,this.type!==l.Z.OBJECT_TYPE_GLIDER||c.Z.exists(this.intervalCode)||0===s||(this.roundsCount=0,this.intervalCode=window.setInterval((function(){n._anim(r,o,s)}),i),c.Z.exists(this.intervalCount)||(this.intervalCount=0)),this},stopAnimation:function(){return c.Z.exists(this.intervalCode)&&(window.clearInterval(this.intervalCode),delete this.intervalCode),this},moveAlong:function(t,e,i){i=i||{};var 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 o,n=this.board.attr.animationdelay,a=Math.ceil(e/n),d=[],u=this.coords.usrCoords[1],p=this.coords.usrCoords[2],f=t.usrCoords[1]-u,_=t.usrCoords[2]-p,m=function(t){var e=t/a;if(i.effect){if("<>"===i.effect)return Math.pow(Math.sin(e*Math.PI/2),2);if("<"===i.effect)return e*e*e;if(">"===i.effect)return 1-Math.pow(1-e,3);if("=="===i.effect||"--"===i.effect)return t/a;s.Z.warn("Callback moveTo(): valid effects are '==', '--', '<>', '>', and '<', given is '"+i.effect+"'. 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this.intervalCount+=1,this.intervalCount>e&&(this.intervalCount=0,this.roundsCount+=1,i>0&&this.roundsCount>=i)?(this.roundsCount=0,this.stopAnimation()):(this.slideObject.elementClass===l.Z.OBJECT_CLASS_LINE?(d=this.slideObject.point1.coords.scrCoords,u=this.slideObject.point2.coords.scrCoords,s=Math.round((u[1]-d[1])*this.intervalCount/e),r=Math.round((u[2]-d[2])*this.intervalCount/e),t>0?a=this.slideObject.point1:(a=this.slideObject.point2,s*=-1,r*=-1),this.coords.setCoordinates(l.Z.COORDS_BY_SCREEN,[a.coords.scrCoords[1]+s,a.coords.scrCoords[2]+r])):this.slideObject.elementClass===l.Z.OBJECT_CLASS_CURVE?(h=t>0?(this.slideObject.maxX()-this.slideObject.minX())*this.intervalCount/e+this.slideObject.minX():-(this.slideObject.maxX()-this.slideObject.minX())*this.intervalCount/e+this.slideObject.maxX(),this.coords.setCoordinates(l.Z.COORDS_BY_USER,[this.slideObject.X(h),this.slideObject.Y(h)]),p=o.Z.projectPointToCurve(this,this.slideObject,this.board),this.coords=p[0],this.position=p[1]):this.slideObject.elementClass===l.Z.OBJECT_CLASS_CIRCLE&&(n=2*Math.PI,n*=t<0?this.intervalCount/e:(e-this.intervalCount)/e,c=this.slideObject.Radius(),this.coords.setCoordinates(l.Z.COORDS_BY_USER,[this.slideObject.center.coords.usrCoords[1]+c*Math.cos(n),this.slideObject.center.coords.usrCoords[2]+c*Math.sin(n)])),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",Name:"getName",addTransform:"addTransform",setProperty:"setAttribute",setAttribute:"setAttribute",addChild:"addChild",animate:"animate",on:"on",off:"off",trigger:"trigger",addTicks:"addTicks",removeTicks:"removeTicks",removeAllTicks:"removeAllTicks",Bounds:"bounds"},this.quadraticform=[[1,0,0],[0,1,0],[0,0,1]],this.visProp={},this.visPropCalc={visible:!1},l.Z.eventify(this),this.mouseover=!1,this.lastDragTime=new Date,this.view=null,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;for(e=0;e<t.length;e++)for(i in t[e].deps)t[e].deps[i].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&&!this.evalVisProp("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)}if(3===e.length&&(e=e.slice(1)),n=this.board.create("transform",e,{type:"translate"}),(o=a.length)>0){if(n.applyOnce(a),d.Z.exists(this.view)&&"view3d"===this.view.elType)for(s=0;s<this.parents.length;++s)i=this.view.select(this.parents[s]),d.Z.exists(i.setPosition2D)&&i.setPosition2D(n)}else this.transformations.length>0&&this.transformations[this.transformations.length-1].isNumericMatrix?this.transformations[this.transformations.length-1].melt(n):this.addTransform(n);for(s=0;s<o;++s)a[s].type===r.Z.OBJECT_TYPE_GLIDER&&a[s].updateGlider();return this},setPositionDirectly:function(t,e,i){var s=new o.Z(t,e,this.board,!1),n=new o.Z(t,i,this.board,!1),h=a.Z.subtract(s.usrCoords,n.usrCoords);return this.setPosition(r.Z.COORDS_BY_USER,h),this},generatePolynomial:function(){return[]},animate:function(t,e,i){i=i||{};var s,r,o,n=this.board.attr.animationdelay,a=Math.ceil(e/n),h=this,l=function(t,e,i){var s,r,n,l,d;for(s=c.Z.rgb2hsv(t),n=((r=c.Z.rgb2hsv(e))[0]-s[0])/a,l=(r[1]-s[1])/a,d=(r[2]-s[2])/a,h.animationData[i]=[],o=0;o<a;o++)h.animationData[i][a-o-1]=c.Z.hsv2rgb(s[0]+(o+1)*n,s[1]+(o+1)*l,s[2]+(o+1)*d)},u=function(t,e,i,s){var r,n;if(t=parseFloat(t),e=parseFloat(e),!isNaN(t)&&!isNaN(e))for(n=(e-t)/a,h.animationData[i]=[],o=0;o<a;o++)r=t+(o+1)*n,h.animationData[i][a-o-1]=s?Math.floor(r):r};for(s in this.animationData={},t)if(t.hasOwnProperty(s))switch(r=s.toLowerCase()){case"strokecolor":case"fillcolor":l(this.visProp[r],t[s],r);break;case"size":if(!d.Z.isPoint(this))break;u(this.visProp[r],t[s],r,!0);break;case"strokeopacity":case"strokewidth":case"fillopacity":u(this.visProp[r],t[s],r,!1)}return this.animationCallback=i.callback,this.board.addAnimation(this),this},update:function(){return this.evalVisProp("trace")&&this.cloneToBackground(),this},updateRenderer:function(){return this},fullUpdate:function(t){return this.prepareUpdate().update().updateVisibility(t).updateRenderer()},setDisplayRendNode:function(t){var e,i,s,r,o;if(void 0===t&&(t=this.visPropCalc.visible),t===this.visPropOld.visible)return this;for(this.board.renderer.display(this,t),i=this.inherits.length,s=0;s<i;s++)if(o=this.inherits[s],d.Z.isArray(o))for(r=o.length,e=0;e<r;e++)d.Z.exists(o[e])&&d.Z.exists(o[e].rendNode)&&"inherit"===o[e].evalVisProp("visible")&&o[e].setDisplayRendNode(t);else d.Z.exists(o)&&d.Z.exists(o.rendNode)&&"inherit"===o.evalVisProp("visible")&&o.setDisplayRendNode(t);return this.hasLabel&&d.Z.exists(this.label)&&d.Z.exists(this.label.rendNode)&&"inherit"===this.label.evalVisProp("visible")&&this.label.setDisplayRendNode(t),this},hide:function(){return this.setAttribute({visible:!1}),this},hideElement:function(){return this.hide(),this},show:function(){return this.setAttribute({visible:!0}),this},showElement:function(){return this.show(),this},updateVisibility:function(t){var e,i,s,r,o,n;if(this.needsUpdate){if(d.Z.exists(this.view)&&!1===this.view.evalVisProp("visible"))this.visPropCalc.visible=!1;else for(void 0!==t?this.visPropCalc.visible=t:(n=this.evalVisProp("visible"),d.Z.exists(this.hiddenByParent)&&this.hiddenByParent&&(n=!1),"inherit"!==n&&(this.visPropCalc.visible=n)),i=this.inherits.length,s=0;s<i;s++)if(o=this.inherits[s],d.Z.isArray(o))for(r=o.length,e=0;e<r;e++)d.Z.exists(o[e])&&"inherit"===o[e].evalVisProp("visible")&&o[e].prepareUpdate().updateVisibility(this.visPropCalc.visible);else d.Z.exists(o)&&"inherit"===o.evalVisProp("visible")&&o.prepareUpdate().updateVisibility(this.visPropCalc.visible);d.Z.exists(this.label)&&d.Z.exists(this.label.visProp)&&this.label.evalVisProp("visible")&&this.label.prepareUpdate().updateVisibility(this.visPropCalc.visible)}return this},_set:function(t,e){var i;if(t=t.toLocaleLowerCase(),this.visProp.hasOwnProperty(t)&&t.indexOf("color")>=0&&d.Z.isString(e)&&9===e.length&&"#"===e.charAt(0))e=c.Z.rgba2rgbo(e),this.visProp[t]=e[0],this.visProp[t.replace("color","opacity")]=e[1];else if(null===e||!d.Z.isObject(e)||d.Z.exists(e.id)||d.Z.exists(e.name))this.visProp[t]=e;else for(i in this.visProp[t]={},e)e.hasOwnProperty(i)&&(this.visProp[t][i.toLocaleLowerCase()]=e[i])},resolveShortcuts:function(t){var e,i,s,r=["traceattributes","traceAttributes"];for(e in h.Z.shortcuts)if(h.Z.shortcuts.hasOwnProperty(e)){if(d.Z.exists(t[e]))for(i=0;i<h.Z.shortcuts[e].length;i++)d.Z.exists(t[h.Z.shortcuts[e][i]])||(t[h.Z.shortcuts[e][i]]=t[e]);for(s=0;s<r.length;s++)d.Z.isObject(t[r[s]])&&(t[r[s]]=this.resolveShortcuts(t[r[s]]))}return t},setLabel:function(t){this.hasLabel||this.setAttribute({withlabel:!0}),this.setLabelText(t)},setLabelText:function(t){return d.Z.exists(this.label)&&(t=t.replace(/</g,"&lt;").replace(/>/g,"&gt;"),this.label.setText(t)),this},setName:function(t){t=t.replace(/</g,"&lt;").replace(/>/g,"&gt;"),"slider"!==this.elType&&this.setLabelText(t),this.setAttribute({name:t})},setProperty:function(){s.Z.deprecated("setProperty()","setAttribute()"),this.setAttribute.apply(this,arguments)},setAttribute:function(t){var e,i,o,n,a,l,u,p,f,_={};for(e=0;e<arguments.length;e++)l=arguments[e],d.Z.isString(l)?(p=l.split(":"),_[d.Z.trim(p[0])]=d.Z.trim(p[1])):d.Z.isArray(l)?_[l[0]]=l[1]:s.Z.extend(_,l);for(e in _=this.resolveShortcuts(_))if(_.hasOwnProperty(e)){if(n=e.replace(/\s+/g,"").toLowerCase(),a=_[e],d.Z.isObject(a)&&d.Z.exists(this.visProp[n])){if(!d.Z.isObject(this.visProp[n])&&null!==a&&d.Z.isObject(a)&&(this.visProp[n]={}),d.Z.mergeAttr(this.visProp[n],a),this.type===r.Z.OBJECT_TYPE_TICKS&&d.Z.exists(this.labels))for(o=this.labels.length,i=0;i<o;i++)this.labels[i].setAttribute(a);else if(d.Z.exists(this[n]))if(d.Z.isArray(this[n]))for(i=0;i<this[n].length;i++)this[n][i].setAttribute(a);else this[n].setAttribute(a);else f=null,this.triggerEventHandlers(["attribute:"+n],[f,a,this]);continue}switch(f=this.visProp[n],n){case"checked":d.Z.exists(this.rendNodeTag)&&(this.rendNodeCheckbox.checked=!!a);break;case"disabled":d.Z.exists(this.rendNodeTag)&&(this.rendNodeTag.disabled=!!a);break;case"face":d.Z.isPoint(this)&&(this.visProp.face=a,this.board.renderer.changePointStyle(this));break;case"generatelabelvalue":this.type===r.Z.OBJECT_TYPE_TICKS&&d.Z.isFunction(a)&&(this.generateLabelValue=a);break;case"gradient":this.visProp.gradient=a,this.board.renderer.setGradient(this);break;case"gradientsecondcolor":a=c.Z.rgba2rgbo(a),this.visProp.gradientsecondcolor=a[0],this.visProp.gradientsecondopacity=a[1],this.board.renderer.updateGradient(this);break;case"gradientsecondopacity":this.visProp.gradientsecondopacity=a,this.board.renderer.updateGradient(this);break;case"infoboxtext":d.Z.isString(a)?this.infoboxText=a:this.infoboxText=!1;break;case"labelcolor":u=(a=c.Z.rgba2rgbo(a))[1],a=a[0],0===u&&d.Z.exists(this.label)&&this.hasLabel&&this.label.hideElement(),d.Z.exists(this.label)&&this.hasLabel&&(this.label.visProp.strokecolor=a,this.board.renderer.setObjectStrokeColor(this.label,a,u)),this.elementClass===r.Z.OBJECT_CLASS_TEXT&&(this.visProp.strokecolor=a,this.visProp.strokeopacity=u,this.board.renderer.setObjectStrokeColor(this,a,u));break;case"layer":this.board.renderer.setLayer(this,this.eval(a)),this._set(n,a);break;case"maxlength":d.Z.exists(this.rendNodeTag)&&(this.rendNodeTag.maxlength=!!a);break;case"name":f=this.name,delete 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s.Z.isFunction(t)?!0===this.visProp.islabel&&d.Z.exists(this.visProp.anchor)?null!==this.visProp.anchor.visProp.element3d?t(this.visProp.anchor.visProp.element3d):t(this.visProp.anchor):null!==this.visProp.element3d?t(this.visProp.element3d):t(this):t},setDash:function(t){return this.setAttribute({dash:t}),this},prepareUpdate:function(){return this.needsUpdate=!0,this},remove:function(){return this.board.renderer.remove(this.rendNode),this.hasLabel&&this.board.renderer.remove(this.board.renderer.getElementById(this.label.id)),this},getTextAnchor:function(){return new o.Z(r.Z.COORDS_BY_USER,[0,0],this.board)},getLabelAnchor:function(){return new o.Z(r.Z.COORDS_BY_USER,[0,0],this.board)},setArrow:function(t,e){return this.visProp.firstarrow=t,this.visProp.lastarrow=e,e&&(this.type=r.Z.OBJECT_TYPE_VECTOR,this.elType="arrow"),this.prepareUpdate().update().updateVisibility().updateRenderer(),this},createGradient:function(){var 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Make sure you include base/text"),this},highlight:function(t){return t=d.Z.def(t,!1),!this.evalVisProp("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 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i,o,n,a,h,l,c,u,p,f,_,m=this.evalVisProp("attracttogrid"),g=this.evalVisProp("attractorunit"),b=this.evalVisProp("attractordistance");return!d.Z.exists(this.coords)||this.evalVisProp("fixed")||(this.evalVisProp("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,a=[1/0,1/0,-1/0,-1/0];if(this.type===r.Z.OBJECT_TYPE_POLYGON){if((e=this.vertices.length-1)<=0)return 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this.elementClass===r.Z.OBJECT_CLASS_POINT?(s=this.X(),o=this.Y(),a=[s-(n=this.evalVisProp("size"))/this.board.unitX,o-n/this.board.unitY,s+n/this.board.unitX,o+n/this.board.unitY]):this.elementClass===r.Z.OBJECT_CLASS_LINE&&(i=this.point1.coords.usrCoords[1],a[0]=i<a[0]?i:a[0],a[2]=i>a[2]?i:a[2],i=this.point1.coords.usrCoords[2],a[1]=i<a[1]?i:a[1],a[3]=i>a[3]?i:a[3],i=this.point2.coords.usrCoords[1],a[0]=i<a[0]?i:a[0],a[2]=i>a[2]?i:a[2],i=this.point2.coords.usrCoords[2],a[1]=i<a[1]?i:a[1],a[3]=i>a[3]?i:a[3]);return a},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=this.evalVisProp("intl.locale")||this.eval(this.board.attr.intl.locale),s=this.evalVisProp("intl.options")||{})s.hasOwnProperty(r)&&(n.hasOwnProperty(r)?o[n[r]]=this.eval(s[r]):o[r]=this.eval(s[r]));return r="maximumfractiondigits",d.Z.exists(s[r])||(o[n[r]]=e),Intl.NumberFormat(i,o).format(t)}return t},useLocale:function(){var t;return!(!d.Z.exists(this.visProp.intl)||!d.Z.exists(this.visProp.intl.enabled))&&(!0===(t=this.evalVisProp("intl.enabled"))||"inherit"===t&&!0===this.eval(this.board.attr.intl.enabled))},__evt__over:function(t){},__evt__mouseover:function(t){},__evt__out:function(t){},__evt__mouseout:function(t){},__evt__move:function(t){},__evt__mousemove:function(t){},__evt__drag:function(t){},__evt__mousedrag:function(t){},__evt__pendrag:function(t){},__evt__touchdrag:function(t){},__evt__keydrag:function(t){},__evt__down:function(t){},__evt__mousedown:function(t){},__evt__pendown:function(t){},__evt__touchdown:function(t){},__evt__click:function(t){},__evt__dblclick:function(t){},__evt__mouseclick:function(t){},__evt__mousedblclick:function(t){},__evt__pointerclick:function(t){},__evt__pointerdblclick:function(t){},__evt__up:function(t){},__evt__mouseup:function(t){},__evt__penup:function(t){},__evt__touchup:function(t){},__evt__attribute:function(t,e){},__evt__attribute_:function(t,e,i){},__evt:function(){}}),e.Z=s.Z.GeometryElement},573:function(t,e,i){var 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o.Z,h.Z.copyPrototypeMethods(s.Z.Text,c.Z,"coordsConstructor"),s.Z.extend(s.Z.Text.prototype,{hasPoint:function(t,e){var i,s,r,o,n,a,c,d;return h.Z.isObject(this.evalVisProp("precision"))?(c=this.board._inputDevice,d=this.evalVisProp("precision."+c)):d=this.board.options.precision.hasPoint,this.transformations.length>0&&(t=(i=l.Z.matVecMult(l.Z.inverse(this.board.renderer.joinTransforms(this,this.transformations)),[1,t,e]))[1],e=i[2]),s=(i="right"===(n=this.getAnchorX())?this.coords.scrCoords[1]-this.size[0]:"middle"===n?this.coords.scrCoords[1]-.5*this.size[0]:this.coords.scrCoords[1])+this.size[0],r=(o="top"===(a=this.getAnchorY())?this.coords.scrCoords[2]+this.size[1]:"middle"===a?this.coords.scrCoords[2]+.5*this.size[1]:this.coords.scrCoords[2])-this.size[1],"all"===this.evalVisProp("dragarea")?t>=i-d&&t<s+d&&e>=r-d&&e<=o+d:e>=r-d&&e<=o+d&&(t>=i-d&&t<=i+2*d||t>=s-2*d&&t<=s+d)},_createFctUpdateText:function(t){var e,i,s,r,o,n,a=this.evalVisProp("parse"),l=this.evalVisProp("usemathjax"),c=this.evalVisProp("usekatex"),d=!1;if(this.orgText=t,h.Z.isFunction(t))this.updateText=function(){r=t().toString(),this.plaintext=!a||l||c?r:this.replaceSub(this.replaceSup(this.convertGeonextAndSketchometry2CSS(r,!1)))};else if(h.Z.isNumber(t)&&this.evalVisProp("formatnumber")?this.evalVisProp("tofraction")?this.content=l?"\\("+h.Z.toFraction(t,!0)+"\\)":h.Z.toFraction(t,c):(s=this.evalVisProp("digits"),this.useLocale()?this.content=this.formatNumberLocale(t,s):this.content=h.Z.toFixed(t,s)):h.Z.isString(t)&&a?(this.evalVisProp("useasciimathml")?this.content="'`"+t+"`'":l||c?(this.content=this.valueTagToJessieCode(t),h.Z.isArray(this.content)||(this.content=this.content.replace(/\\/g,"\\\\"))):this.content=this.poorMansTeX(this.valueTagToJessieCode(t)),d=!0):this.content=t,d){if(h.Z.isArray(this.content)){for(n=this,o=0;o<this.content.length;o++)if('"'!==this.content[o][0])for(i in 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h,c,d,u,p=l.Z.evaluate(i);return(d=(h=s.Z.Math.Clip._getPath(t,a)).length)>0&&this.distance(h[0].coords.usrCoords,h[d-1].coords.usrCoords,3)<n.Z.eps&&h.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(h,c,"intersection")?new o.Z(r.Z.COORDS_BY_USER,[0,0,0],a):(s.Z.Math.Clip.makeDoublyLinkedList(h),s.Z.Math.Clip.makeDoublyLinkedList(c),p<(u=s.Z.Math.Clip.findIntersections(h,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,h,c,d=l.Z.evaluate(i),u=[0,0,0],p=t.borders.length,f=[];for(a=0;a<p;a++)c=t.borders[a],h=this.meetSegmentSegment(c.point1.coords.usrCoords,c.point2.coords.usrCoords,e.point1.coords.usrCoords,e.point2.coords.usrCoords),(!n||h[2]>=0&&h[2]<1)&&h[1]>=0&&h[1]<1&&f.push(h[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 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e.evFirst&&this._setArrowWidth(t.rendNodeTriangleStart,e.showFirst*e.strokeWidth,t.rendNode,e.sizeFirst),e.evLast&&this._setArrowWidth(t.rendNodeTriangleEnd,e.showLast*e.strokeWidth,t.rendNode,e.sizeLast),this},setLineCap:function(t){},drawTicks:function(t){t.rendNode=this.appendChildPrim(this.createPrim("path",t.id),t.evalVisProp("layer")),this.appendNodesToElement(t,"path")},updateTicks:function(t){},drawEllipse:function(t){t.rendNode=this.appendChildPrim(this.createPrim("ellipse",t.id),t.evalVisProp("layer")),this.appendNodesToElement(t,"ellipse"),this.updateEllipse(t)},updateEllipse:function(t){this._updateVisual(t);var e=t.Radius();Math.abs(t.center.coords.usrCoords[0])>o.Z.eps&&!isNaN(e+t.center.coords.scrCoords[1]+t.center.coords.scrCoords[2])&&e*t.board.unitX<2e6&&this.updateEllipsePrim(t.rendNode,t.center.coords.scrCoords[1],t.center.coords.scrCoords[2],e*t.board.unitX,e*t.board.unitY),this.setLineCap(t)},drawPolygon:function(t){t.rendNode=this.appendChildPrim(this.createPrim("polygon",t.id),t.evalVisProp("layer")),this.appendNodesToElement(t,"polygon"),this.updatePolygon(t)},updatePolygon:function(t){this._updateVisual(t,{stroke:!0,dash:!0}),this.updatePolygonPrim(t.rendNode,t)},displayCopyright:function(t,e){},displayLogo:function(t,e){},drawInternalText:function(t){},updateInternalText:function(t){},drawText:function(t){var i,r,o,n;"html"===t.evalVisProp("display")&&e.Z.isBrowser&&"no"!==this.type?((i=this.container.ownerDocument.createElement("div")).style.position="absolute",i.className=t.evalVisProp("cssclass"),o=t.evalVisProp("layer"),s.Z.exists(o)||(o=0),r=""===this.container.style.zIndex?0:parseInt(this.container.style.zIndex,10),i.style.zIndex=r+o,this.container.appendChild(i),i.setAttribute("id",this.container.id+"_"+t.id)):i=this.drawInternalText(t),t.rendNode=i,t.htmlStr="",t.visProp.islabel&&s.Z.exists(t.visProp.anchor)?(n=t.visProp.anchor.evalVisProp("visible"),t.prepareUpdate().updateVisibility(n)):t.prepareUpdate().updateVisibility(),this.updateText(t)},updateText:function(e){var i,r,o,n,a,h,l,c,d,u,p,f=e.plaintext;if(e.visPropCalc.visible)if(this.updateTextStyle(e,!1),"html"===e.evalVisProp("display")&&"no"!==this.type){if(isNaN(e.coords.scrCoords[1]+e.coords.scrCoords[2])||(r=e.coords.scrCoords[1],r=Math.abs(r)<1e6?r:1e6,"right"===(a=e.getAnchorX())?(i=e.board.canvasWidth-r,u="right"):"middle"===a?(i=r-.5*e.size[0],u="center"):(i=r,u="left"),e.visPropOld.left!==a+i&&("right"===a?(e.rendNode.style.right=i+"px",e.rendNode.style.left="auto"):(e.rendNode.style.left=i+"px",e.rendNode.style.right="auto"),e.visPropOld.left=a+i),r=e.coords.scrCoords[2]+this.vOffsetText,r=Math.abs(r)<1e6?r:1e6,"bottom"===(h=e.getAnchorY())?(i=e.board.canvasHeight-r,p="bottom"):"middle"===h?(i=r-.5*e.size[1],p="center"):(i=r,p="top"),e.visPropOld.top!==h+i&&("bottom"===h?(e.rendNode.style.top="auto",e.rendNode.style.bottom=i+"px"):(e.rendNode.style.bottom="auto",e.rendNode.style.top=i+"px"),e.visPropOld.top=h+i)),e.htmlStr!==f){try{e.type===s.Z.OBJECT_TYPE_BUTTON?e.rendNodeButton.innerHTML=f:e.type===s.Z.OBJECT_TYPE_CHECKBOX||e.type===s.Z.OBJECT_TYPE_INPUT?e.rendNodeLabel.innerHTML=f:e.rendNode.innerHTML=f}catch(t){o=e.rendNode.parentNode,e.rendNode.parentNode.removeChild(e.rendNode),e.rendNode.innerHTML=f,o.appendChild(e.rendNode)}if(e.htmlStr=f,e.evalVisProp("usemathjax"))try{MathJax.typeset?MathJax.typeset([e.rendNode]):MathJax.Hub.Queue(["Typeset",MathJax.Hub,e.rendNode])}catch(e){t.Z.debug("MathJax 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e,i,r,o,n,a=[],h=s.Z.trim(t).replace(/;$/,"").split(";");for(i=h.length,e=0;e<i;++e)""!==s.Z.trim(h[e])&&(n=h[e].split(":"),r=s.Z.trim(n[0].replace(/-([a-z])/gi,(function(t,e){return e.toUpperCase()}))),o=s.Z.trim(n[1]),a.push({key:r,val:o}));return a},updateTextStyle:function(t,i){var r,o,n,a,h,l,c,d,u,p=e.Z.isBrowser?t.visProp.display:"internal",f=["rendNode","rendNodeTag","rendNodeLabel"],_=f.length,m=t.evalVisProp("fontunit"),g=["cssdefaultstyle","cssstyle"],b=g.length;if(i?(n=t.evalVisProp("highlightstrokecolor"),o=t.evalVisProp("highlightstrokeopacity"),a=t.evalVisProp("highlightcssclass")):(n=t.evalVisProp("strokecolor"),o=t.evalVisProp("strokeopacity"),a=t.evalVisProp("cssclass")),"no"!==this.type&&("html"===p||"canvas"!==this.type)){for(d=0;d<b;d++)for(u=t.evalVisProp((i?"highlight":"")+g[d]),h=0;h<_;h++)if(s.Z.exists(t[f[h]])&&""!==u&&t.visPropOld[g[d]+"_"+h]!==u){for(c in l=this._css2js(u))l.hasOwnProperty(c)&&(t[f[h]].style[l[c].key]=l[c].val);t.visPropOld[g[d]+"_"+h]=u}if(r=t.evalVisProp("fontsize"),t.visPropOld.fontsize!==r){t.needsSizeUpdate=!0;try{for(h=0;h<_;h++)s.Z.exists(t[f[h]])&&(t[f[h]].style.fontSize=r+m)}catch(e){for(h=0;h<_;h++)s.Z.exists(t[f[h]])&&(t[f[h]].style.fontSize=r)}t.visPropOld.fontsize=r}}return this.setTabindex(t),this.setObjectTransition(t),"html"===p&&"no"!==this.type?(t.visPropOld.cssclass!==a&&(t.rendNode.className=a,t.visPropOld.cssclass=a,t.needsSizeUpdate=!0),this.setObjectStrokeColor(t,n,o)):this.updateInternalTextStyle(t,n,o),t.evalVisProp("aria.enabled")&&this.setARIA(t),this},updateInternalTextStyle:function(t,e,i){this.setObjectStrokeColor(t,e,i)},drawImage:function(t){},updateImage:function(t){this.updateRectPrim(t.rendNode,t.coords.scrCoords[1],t.coords.scrCoords[2]-t.size[1],t.size[0],t.size[1]),this.updateImageURL(t),this.transformRect(t,t.transformations),this._updateVisual(t,{stroke:!0,dash:!0},!0)},joinTransforms:function(t,e){var i,s=t.board.origin.scrCoords[1],r=t.board.origin.scrCoords[2],n=t.board.unitX,a=t.board.unitY,h=e.length,l=[[1,0,0],[-s/n,1/n,0],[r/a,0,-1/a]];for(i=0;i<h;i++)l=o.Z.matMatMult(e[i].matrix,l);return 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s,r,o;if(this.setObjectTransition(t),!t.visProp.draft){if(t.type===i.Z.OBJECT_TYPE_POLYGON)for(this.setObjectFillColor(t,t.evalVisProp("highlightfillcolor"),t.evalVisProp("highlightfillopacity")),r=t.evalVisProp("highlightbystrokewidth"),s=0;s<t.borders.length;s++)this.highlight(t.borders[s],!r);else t.elementClass===i.Z.OBJECT_CLASS_TEXT?this.updateTextStyle(t,!0):t.type===i.Z.OBJECT_TYPE_IMAGE?(this.updateImageStyle(t,!0),this.setObjectFillColor(t,t.evalVisProp("highlightfillcolor"),t.evalVisProp("highlightfillopacity"))):(this.setObjectStrokeColor(t,t.evalVisProp("highlightstrokecolor"),t.evalVisProp("highlightstrokeopacity")),this.setObjectFillColor(t,t.evalVisProp("highlightfillcolor"),t.evalVisProp("highlightfillopacity")));!e&&t.evalVisProp("highlightstrokewidth")&&(o=Math.max(t.evalVisProp("highlightstrokewidth"),t.evalVisProp("strokewidth")),this.setObjectStrokeWidth(t,o),t.elementClass!==i.Z.OBJECT_CLASS_LINE&&t.elementClass!==i.Z.OBJECT_CLASS_CURVE||this.updatePathWithArrowHeads(t,!0))}return this.setCssClass(t,t.evalVisProp("highlightcssclass")),this},noHighlight:function(t){var e,s;if(this.setObjectTransition(t),!t.evalVisProp("draft")){if(t.type===i.Z.OBJECT_TYPE_POLYGON)for(this.setObjectFillColor(t,t.evalVisProp("fillcolor"),t.evalVisProp("fillopacity")),e=0;e<t.borders.length;e++)this.noHighlight(t.borders[e]);else t.elementClass===i.Z.OBJECT_CLASS_TEXT?this.updateTextStyle(t,!1):t.type===i.Z.OBJECT_TYPE_IMAGE?(this.updateImageStyle(t,!1),this.setObjectFillColor(t,t.evalVisProp("fillcolor"),t.evalVisProp("fillopacity"))):(this.setObjectStrokeColor(t,t.evalVisProp("strokecolor"),t.evalVisProp("strokeopacity")),this.setObjectFillColor(t,t.evalVisProp("fillcolor"),t.evalVisProp("fillopacity")));s=t.evalVisProp("strokewidth"),this.setObjectStrokeWidth(t,s),t.elementClass!==i.Z.OBJECT_CLASS_LINE&&t.elementClass!==i.Z.OBJECT_CLASS_CURVE||this.updatePathWithArrowHeads(t,!1)}return this.setCssClass(t,t.evalVisProp("cssclass")),this},removeDraft:function(t){this.setObjectTransition(t),t.type===i.Z.OBJECT_TYPE_POLYGON?this.setObjectFillColor(t,t.evalVisProp("fillcolor"),t.evalVisProp("fillopacity")):(t.type===i.Z.OBJECT_CLASS_POINT&&this.setObjectFillColor(t,t.evalVisProp("fillcolor"),t.evalVisProp("fillopacity")),this.setObjectStrokeColor(t,t.evalVisProp("strokecolor"),t.evalVisProp("strokeopacity")),this.setObjectStrokeWidth(t,t.evalVisProp("strokewidth")))},setARIA:function(t){},setBuffering:function(t,e){},setCssClass:function(t,e){},setDashStyle:function(t){},setDraft:function(t){if(t.evalVisProp("draft")){var e=t.board.options.elements.draft.color,s=t.board.options.elements.draft.opacity;this.setObjectTransition(t),t.type===i.Z.OBJECT_TYPE_POLYGON?this.setObjectFillColor(t,e,s):(t.elementClass===i.Z.OBJECT_CLASS_POINT?this.setObjectFillColor(t,e,s):this.setObjectFillColor(t,"none",0),this.setObjectStrokeColor(t,e,s),this.setObjectStrokeWidth(t,t.board.options.elements.draft.strokeWidth))}},setGradient:function(t){},setLayer:function(t,e){},setObjectFillColor:function(t,e,i){},setObjectStrokeColor:function(t,e,i){},setObjectStrokeWidth:function(t,e){},setObjectTransition:function(t,e){},setPropertyPrim:function(t,e,i){},setShadow:function(t){},setTabindex:function(t){},show:function(t){},updateGradient:function(t){},suspendRedraw:function(){},unsuspendRedraw:function(){},drawNavigationBar:function(t,i){var r,o,n=function(t){t||(t=window.event),t.stopPropagation?t.stopPropagation():t.cancelBubble=!0},a=function(i,a,h,l){var c;h=h||"",(c=r.createElement("span")).innerHTML=i,c.style.paddingLeft="7px",c.style.paddingRight="7px",void 0!==c.classList&&(c.classList.add("JXG_navigation_button"),c.classList.add("JXG_navigation_button_"+l)),c.setAttribute("id",h+"_navigation_"+l),c.setAttribute("aria-hidden","true"),o.appendChild(c),e.Z.addEvent(c,"click",(function(e){return s.Z.bind(a,t)(),!1}),t),e.Z.addEvent(c,"pointerup",n,t),e.Z.addEvent(c,"pointerdown",n,t),e.Z.addEvent(c,"pointerleave",n,t),e.Z.addEvent(c,"mouseup",n,t),e.Z.addEvent(c,"mousedown",n,t),e.Z.addEvent(c,"touchend",n,t),e.Z.addEvent(c,"touchstart",n,t)};e.Z.isBrowser&&"no"!==this.type&&(r=t.containerObj.ownerDocument,(o=r.createElement("div")).setAttribute("id",t.container+"_navigationbar"),o.style.color=i.strokecolor,o.style.backgroundColor=i.fillcolor,o.style.padding=i.padding,o.style.position=i.position,o.style.fontSize=i.fontsize,o.style.cursor=i.cursor,o.style.zIndex=i.zindex,t.containerObj.appendChild(o),o.style.right=i.right,o.style.bottom=i.bottom,void 0!==o.classList&&o.classList.add("JXG_navigation"),t.attr.showfullscreen&&a(t.attr.fullscreen.symbol,(function(){t.toFullscreen(t.attr.fullscreen.id)}),t.container,"fullscreen"),t.attr.showscreenshot&&a(t.attr.screenshot.symbol,(function(){window.setTimeout((function(){t.renderer.screenshot(t,"",!1)}),330)}),t.container,"screenshot"),t.attr.showreload&&a("↻",(function(){t.reload()}),t.container,"reload"),t.attr.showcleartraces&&a("⊗",(function(){t.clearTraces()}),t.container,"cleartraces"),t.attr.shownavigation&&(t.attr.showzoom&&(a("–",t.zoomOut,t.container,"out"),a("o",t.zoom100,t.container,"100"),a("+",t.zoomIn,t.container,"in")),a("←",t.clickLeftArrow,t.container,"left"),a("↓",t.clickUpArrow,t.container,"down"),a("↑",t.clickDownArrow,t.container,"up"),a("→",t.clickRightArrow,t.container,"right")))},getElementById:function(t){var e;return s.Z.exists(this.container)?(e=this.container.id+"_"+t,s.Z.exists(CSS)&&s.Z.exists(CSS.escape)&&(e=CSS.escape(e)),this.container.querySelector("#"+e)):""},removeToInsertLater:function(t){var e=t.parentNode,i=t.nextSibling;if(null!==e)return e.removeChild(t),function(){i?e.insertBefore(t,i):e.appendChild(t)}},resize:function(t,e){},createTouchpoints:function(t){},showTouchpoint:function(t){},hideTouchpoint:function(t){},updateTouchpoint:function(t,e){},dumpToDataURI:function(t){},dumpToCanvas:function(t,e,i,s){},screenshot:function(t){}});var Z=t.Z.AbstractRenderer,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 unescape&&"function"==typeof encodeURIComponent)return unescape(encodeURIComponent(t));for(e=0;e<r;e++)(i=t.charCodeAt(e))<128?s+=String.fromCharCode(i):i>127&&i<2048?(s+=String.fromCharCode(i>>6|192),s+=String.fromCharCode(63&i|128)):(s+=String.fromCharCode(i>>12|224),s+=String.fromCharCode(i>>6&63|128),s+=String.fromCharCode(63&i|128));return s},decode:function(t){var e,i,s,r=0,o=0,n=0,a=[],h=t.length,l=[];for(e=0;e<h;e++)i=t.charCodeAt(e),s=C[i],o=0!==n?63&i|o<<6:255>>s&i,0===(n=C[256+n+s])&&(o>65535?a.push(55232+(o>>10),56320+(1023&o)):a.push(o),++r%1e4==0&&(l.push(String.fromCharCode.apply(null,a)),a=[]));return l.push(String.fromCharCode.apply(null,a)),l.join("")},asciiCharCodeAt:function(t,e){var i=t.charCodeAt(e);if(i>255)switch(i){case 8364:i=128;break;case 8218:i=130;break;case 402:i=131;break;case 8222:i=132;break;case 8230:i=133;break;case 8224:i=134;break;case 8225:i=135;break;case 710:i=136;break;case 8240:i=137;break;case 352:i=138;break;case 8249:i=139;break;case 338:i=140;break;case 381:i=142;break;case 8216:i=145;break;case 8217:i=146;break;case 8220:i=147;break;case 8221:i=148;break;case 8226:i=149;break;case 8211:i=150;break;case 8212:i=151;break;case 732:i=152;break;case 8482:i=153;break;case 353:i=154;break;case 8250:i=155;break;case 339:i=156;break;case 382:i=158;break;case 376:i=159}return i}};var 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 2:i=this._getByte(o,s-2)<<8|this._getByte(o,s-1),n.push(P.charAt(i>>10),P.charAt(i>>4&63),P.charAt(i<<2&63),E)}return n.join("")},decode:function(t,e){var i,s,r,o,n,a,h=[],l=[];if((r=(i=t.replace(/[^A-Za-z0-9+/=]/g,"")).length)%4!=0)throw new Error("JSXGraph/utils/base64: Can't decode string (invalid input length).");for(i.charAt(r-1)===E&&(o=1,i.charAt(r-2)===E&&(o=2),r-=4),s=0;s<r;s+=4)n=this._getIndex(i,s)<<18|this._getIndex(i,s+1)<<12|this._getIndex(i,s+2)<<6|this._getIndex(i,s+3),l.push(n>>16,n>>8&255,255&n),s%1e4==0&&(h.push(String.fromCharCode.apply(null,l)),l=[]);switch(o){case 1:n=this._getIndex(i,r)<<12|this._getIndex(i,r+1)<<6|this._getIndex(i,r+2),l.push(n>>10,n>>2&255);break;case 2:n=this._getIndex(i,s)<<6|this._getIndex(i,s+1),l.push(n>>4)}return h.push(String.fromCharCode.apply(null,l)),a=h.join(""),e&&(a=y.decode(a)),a},decodeAsArray:function(t){var e,i=this.decode(t),s=[],r=i.length;for(e=0;e<r;e++)s[e]=i.charCodeAt(e);return s}};var x=t.Z.Util.Base64;t.Z.FileReader={handleRemoteFile:function(e,i,r,o,n,a){var h=!1;try{h=new XMLHttpRequest,"raw"===r.toLowerCase()?h.overrideMimeType("text/plain; charset="+n):h.overrideMimeType("text/xml; charset="+n)}catch(t){try{h=new ActiveXObject("Msxml2.XMLHTTP")}catch(t){try{h=new ActiveXObject("Microsoft.XMLHTTP")}catch(t){h=!1}}}if(h){h.open("GET",e,o),"raw"===r.toLowerCase()?this.cbp=function(){var t=h;4===t.readyState&&i(t.responseText)}:this.cbp=function(){var t=h,e="";4===t.readyState&&(e=!s.Z.exists(t.responseStream)||"PK"!==t.responseText.slice(0,2)&&31!==y.asciiCharCodeAt(t.responseText.slice(0,1),0)?t.responseText:x.decode(jxgBinFileReader(t)),this.parseString(e,i,r,a))},this.cb=s.Z.bind(this.cbp,this),h.onreadystatechange=this.cb;try{h.send(null)}catch(t){throw new Error("JSXGraph: A problem occurred while trying to read remote file '"+e+"'.")}}else t.Z.debug("AJAX not activated!")},handleLocalFile:function(t,e,i,r,o,n){s.Z.exists(r)||(r=!0),"raw"===i.toLowerCase()?this.cbp=function(t){e(t.target.result)}:this.cbp=function(t){var s=t.target.result;this.parseString(s,e,i,n)},this.cb=s.Z.bind(this.cbp,this);var a=new FileReader;a.onload=this.cb,"raw"===i.toLowerCase()?a.readAsText(t):a.readAsText(t,o)},parseFileContent:function(t,e,i,r,o,n){s.Z.isString(t)||void 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      Mid(Base64, CLng("&o" & Mid(nGroup, 3, 2)) + 1, 1) + _\n      Mid(Base64, CLng("&o" & Mid(nGroup, 5, 2)) + 1, 1) + _\n      Mid(Base64, CLng("&o" & Mid(nGroup, 7, 2)) + 1, 1)\n    sOut = sOut + pOut\n  Next\n  Select Case LenB(inData) Mod 3\n    Case 1: \'8 bit final\n      sOut = Left(sOut, Len(sOut) - 2) + "=="\n    Case 2: \'16 bit final\n      sOut = Left(sOut, Len(sOut) - 1) + "="\n  End Select\n  Base64Encode = sOut\nEnd Function\n\nFunction MyASC(OneChar)\n  If OneChar = "" Then MyASC = 0 Else MyASC = AscB(OneChar)\nEnd Function\n\nFunction jxgBinFileReader(xhr)\n    Dim byteString\n    Dim b64String\n    Dim i\n    byteString = xhr.responseBody\n    ReDim byteArray(LenB(byteString))\n    For i = 1 To LenB(byteString)\n        byteArray(i-1) = AscB(MidB(byteString, i, 1))\n    Next\n    b64String = Base64Encode(byteString)\n    jxgBinFileReader = b64String\nEnd Function\n<\/script>\n');var O=t.Z.FileReader,w=__webpack_require__(632),M=__webpack_require__(254),S=__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 this.elements={},this.objects=this.elements,this.elementsByName={},this.objectsList=[],this.groups={},this.methodMap={setAttribute:"setAttribute",setProperty:"setAttribute",setParents:"setParents",add:"add",remove:"remove",select:"select"},t)t.hasOwnProperty(e)&&this.add(e,t[e]);this.dump=!0,this.subs={}},t.Z.extend(t.Z.Composition.prototype,{add:function(t,e){return!(s.Z.exists(this[t])||!s.Z.exists(e))&&(s.Z.exists(e.id)?this.elements[e.id]=e:this.elements[t]=e,s.Z.exists(e.name)&&(this.elementsByName[e.name]=e),e.on("attribute:name",this.nameListener,this),this.objectsList.push(e),this[t]=e,this.methodMap[t]=e,!0)},remove:function(t){var e,i=!1;for(e in this.elements)if(this.elements.hasOwnProperty(e)&&this.elements[e].id===this[t].id){i=!0;break}return i&&(delete this.elements[this[t].id],delete this[t]),i},nameListener:function(t,e,i){delete this.elementsByName[t],this.elementsByName[e]=i},select:function(e){return s.Z.exists(t.Z.Board)?t.Z.Board.prototype.select.call(this,e):new t.Z.Composition},getParents:function(){return this.parents},getType:function(){return this.elType},getAttributes:function(){var t,e={};for(t in this.subs)this.subs.hasOwnProperty(t)&&(e[t]=this.subs[t].visProp);return this.attr}});var T=t.Z.Composition;t.Z.Board=function(o,n,a,h,l,c,d,u,p,f,_){if(this.BOARD_MODE_NONE=0,this.BOARD_MODE_DRAG=1,this.BOARD_MODE_MOVE_ORIGIN=2,this.BOARD_MODE_ZOOM=17,this.BOARD_QUALITY_LOW=1,this.BOARD_QUALITY_HIGH=2,s.Z.exists(_.document)&&!1!==_.document?this.document=_.document:e.Z.isBrowser&&(this.document=document),this.container="",this.id="",this.containerObj=null,s.Z.isString(o)?(this.container=o,this.containerObj=e.Z.isBrowser?this.document.getElementById(this.container):null):e.Z.isBrowser&&(this.containerObj=o,this.container=this.containerObj.getAttribute("id"),null===this.container&&(this.container="null"+parseInt(16777216*Math.random()).toString())),e.Z.isBrowser&&"no"!==n.type&&null===this.containerObj)throw new Error('\nJSXGraph: HTML container element "'+o+'" not found.');s.Z.exists(a)&&""!==a&&e.Z.isBrowser&&!s.Z.exists(this.document.getElementById(a))?this.id=a:this.id=this.generateId(),this.renderer=n,this.grids=[],this.options=s.Z.deepCopy(v.Z),this.attr=_,"default"!==this.attr.theme&&s.Z.exists(t.Z.themes[this.attr.theme])&&s.Z.mergeAttr(this.options,t.Z.themes[this.attr.theme],!0),this.dimension=2,this.jc=new M.Z,this.jc.use(this),this.origin={},this.origin.usrCoords=[1,0,0],this.origin.scrCoords=[1,h[0],h[1]],this.zoomX=l,this.zoomY=c,this.unitX=d*this.zoomX,this.unitY=u*this.zoomY,this.keepaspectratio=!1,this.canvasWidth=p,this.canvasHeight=f,r.Z.eventify(this),this.hooks=[],this.dependentBoards=[],this.inUpdate=!1,this.objects={},this.objectsList=[],this.groups={},this.animationObjects={},this.highlightedObjects={},this.numObjects=0,this.elementsByName={},this.mode=this.BOARD_MODE_NONE,this.updateQuality=this.BOARD_QUALITY_HIGH,this.isSuspendedRedraw=!1,this.calculateSnapSizes(),this.drag_dx=0,this.drag_dy=0,this.drag_position=[0,0],this.mouse={},this.touches=[],this.xmlString="",this.cPos=[],this.touchMoveLast=0,this.touchMoveLastId=1/0,this.positionAccessLast=0,this.downObjects=[],this.clickObjects={},this.focusObjects=[],(this.attr.showcopyright||this.attr.showlogo)&&this.renderer.displayLogo(i.Z.licenseLogo,parseInt(this.options.text.fontSize,10),this),this.attr.showcopyright&&this.renderer.displayCopyright(i.Z.licenseText,parseInt(this.options.text.fontSize,10)),this.needsFullUpdate=!1,this.reducedUpdate=!1,this.currentCBDef="none",this.geonextCompatibilityMode=!1,this.options.text.useASCIIMathML&&translateASCIIMath?init():this.options.text.useASCIIMathML=!1,this.hasMouseHandlers=!1,this.hasTouchHandlers=!1,this.hasPointerHandlers=!1,this.hasWheelHandlers=!1,this.hasMouseUp=!1,this.hasTouchEnd=!1,this.hasPointerUp=!1,this.resizeHandlers=[],this._drag_offset=[0,0],this._inputDevice="mouse",this._board_touches=[],this.selectingMode=!1,this.isSelecting=!1,this._isScrolling=!1,this._isResizing=!1,this._change3DView=!1,this.selectingBox=[[0,0],[0,0]],this.userLog=[],this.mathLib=Math,this.mathLibJXG=t.Z.Math,!0===this.attr.registerevents?this.attr.registerevents={fullscreen:!0,keyboard:!0,pointer:!0,resize:!0,wheel:!0}:"object"==typeof this.attr.registerevents&&(s.Z.exists(this.attr.registerevents.fullscreen)||(this.attr.registerevents.fullscreen=!0),s.Z.exists(this.attr.registerevents.keyboard)||(this.attr.registerevents.keyboard=!0),s.Z.exists(this.attr.registerevents.pointer)||(this.attr.registerevents.pointer=!0),s.Z.exists(this.attr.registerevents.resize)||(this.attr.registerevents.resize=!0),s.Z.exists(this.attr.registerevents.wheel)||(this.attr.registerevents.wheel=!0)),!1!==this.attr.registerevents&&(this.attr.registerevents.fullscreen&&this.addFullscreenEventHandlers(),this.attr.registerevents.keyboard&&this.addKeyboardEventHandlers(),this.attr.registerevents.pointer&&this.addEventHandlers(),this.attr.registerevents.resize&&this.addResizeEventHandlers(),this.attr.registerevents.wheel&&this.addWheelEventHandlers()),this.methodMap={update:"update",fullUpdate:"fullUpdate",on:"on",off:"off",trigger:"trigger",setAttribute:"setAttribute",setBoundingBox:"setBoundingBox",setView:"setBoundingBox",getBoundingBox:"getBoundingBox",BoundingBox:"getBoundingBox",getView:"getBoundingBox",View:"getBoundingBox",migratePoint:"migratePoint",colorblind:"emulateColorblindness",suspendUpdate:"suspendUpdate",unsuspendUpdate:"unsuspendUpdate",clearTraces:"clearTraces",left:"clickLeftArrow",right:"clickRightArrow",up:"clickUpArrow",down:"clickDownArrow",zoomIn:"zoomIn",zoomOut:"zoomOut",zoom100:"zoom100",zoomElements:"zoomElements",remove:"removeObject",removeObject:"removeObject"}},t.Z.extend(t.Z.Board.prototype,{generateName:function(t){var e,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)||s.Z.isPoint3D(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(16777216*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===t.evalVisProp("visible")&&this.renderer.display(t,!1)},finalizeLabel:function(t){t.hasLabel&&!t.label.evalVisProp("islabel")&&!1===t.label.evalVisProp("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},getPointLoc:function(t,e){var i,r,o,n;return i=this.getBoundingBox(),2===(r=t).length&&r.unshift(void 0),o=[0,0],n=e||0,s.Z.isNumber(n)&&(n=[n,n,n,n]),r[1]>i[2]-n[1]&&(o[0]=1),r[1]<i[0]+n[3]&&(o[0]=-1),r[2]>i[1]-n[0]&&(o[1]=1),r[2]<i[3]+n[2]&&(o[1]=-1),o},getLocationOrigin:function(t){return this.getPointLoc([0,0],t)},getMousePosition:function(t,i){var s,r,n=this.getCoordsTopLeftCorner();return s=e.Z.getPosition(t,i,this.document),this.updateCSSTransforms(),r=[1,s[0]-n[0],s[1]-n[1]],(r=o.Z.matVecMult(this.cssTransMat,r))[1]/=r[0],r[2]/=r[0],[r[1],r[2]]},initMoveOrigin:function(t,e){this.drag_dx=t-this.origin.scrCoords[1],this.drag_dy=e-this.origin.scrCoords[2],this.mode=this.BOARD_MODE_MOVE_ORIGIN,this.updateQuality=this.BOARD_QUALITY_LOW},initMoveObject:function(t,e,r,o){var n,a,h,l=[],c=[],d=this.objectsList.length,u={visProp:{layer:-1e4}};for(this._shiftKey=r.shiftKey,this._ctrlKey=r.ctrlKey,a=0;a<d;a++)h=(n=this.objectsList[a]).hasPoint&&n.hasPoint(t,e),n.visPropCalc.visible&&h&&(n.triggerEventHandlers([o+"down","down"],[r]),this.downObjects.push(n)),h&&n.isDraggable&&n.visPropCalc.visible&&(this.geonextCompatibilityMode&&(s.Z.isPoint(n)||n.elementClass===i.Z.OBJECT_CLASS_TEXT)||!this.geonextCompatibilityMode)&&!n.evalVisProp("fixed")&&(n.visProp.layer>u.visProp.layer||n.visProp.layer===u.visProp.layer&&n.lastDragTime.getTime()>=u.lastDragTime.getTime())&&(this.attr.ignorelabels&&s.Z.exists(u.label)&&n===u.label||(u=n,l.push(u),s.Z.exists(u.coords)?u.elementClass===i.Z.OBJECT_CLASS_POINT||u.relativeCoords?c.push(p.Z.subtract(u.coords.scrCoords.slice(1),[t,e])):c.push(p.Z.subtract(u.actualCoords.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])&&1===l.length&&s.Z.exists(l[0].rendNode)&&(l[0].evalVisProp("dragtotopoflayer")&&l[0].rendNode.parentNode.appendChild(l[0].rendNode),l[0].hasLabel&&"html"===l[0].label.evalVisProp("display")&&l[0].label.evalVisProp("dragtotopoflayer")&&l[0].label.rendNode.parentNode.appendChild(l[0].label.rendNode)),l.length>=1&&(l[0].highlight(!0),this.triggerEventHandlers(["mousehit","hit"],[r,l[0]])),l},moveObject:function(t,e,r,o,n){var a,h,l,c=new u.Z(i.Z.COORDS_BY_SCREEN,this.getScrCoordsOfMouse(t,e),this);r&&r.obj&&((a=r.obj).coords&&(h=a.coords.scrCoords.slice()),this.addLogEntry("drag",a,c.usrCoords.slice(1)),this.drag_position=[c.scrCoords[1],c.scrCoords[2]],this.drag_position=p.Z.add(this.drag_position,this._drag_offset),this._shiftKey=o.shiftKey,this._ctrlKey=o.ctrlKey,s.Z.exists(a.coords)?a.setPositionDirectly(i.Z.COORDS_BY_SCREEN,this.drag_position,[t,e]):(this.displayInfobox(!1),isNaN(r.targets[0].Xprev+r.targets[0].Yprev)||a.setPositionDirectly(i.Z.COORDS_BY_SCREEN,[c.scrCoords[1],c.scrCoords[2]],[r.targets[0].Xprev,r.targets[0].Yprev]),r.targets[0].Xprev=c.scrCoords[1],r.targets[0].Yprev=c.scrCoords[2]),s.Z.exists(a.coords)&&(a.prepareUpdate().update(!1).updateRenderer(),this.updateInfobox(a),a.prepareUpdate().update(!0).updateRenderer()),a.coords&&(l=a.coords.scrCoords),a.coords&&h[1]===l[1]&&h[2]===l[2]||(a.triggerEventHandlers([n+"drag","drag"],[o]),this.update(a)),a.highlight(!0),this.triggerEventHandlers(["mousehit","hit"],[o,a]),a.lastDragTime=new Date)},twoFingerMove:function(t,e,r){var o;s.Z.exists(t)&&s.Z.exists(t.obj)&&((o=t.obj).elementClass===i.Z.OBJECT_CLASS_LINE||o.type===i.Z.OBJECT_TYPE_POLYGON?this.twoFingerTouchObject(t.targets,o,e):o.elementClass===i.Z.OBJECT_CLASS_CIRCLE&&this.twoFingerTouchCircle(t.targets,o,e),r&&o.triggerEventHandlers(["touchdrag","drag"],[r]))},getTwoFingerTransform(t,e,s,r){var n,a,h,l,c,d,p,f,_,m,g,b,v,Z,C,y,P;return a=(n=new u.Z(i.Z.COORDS_BY_SCREEN,[t.Xprev,t.Yprev],this).usrCoords)[1],h=n[2],l=(n=new u.Z(i.Z.COORDS_BY_SCREEN,[e.Xprev,e.Yprev],this).usrCoords)[1],c=n[2],f=(n=new u.Z(i.Z.COORDS_BY_SCREEN,[t.X,t.Y],this).usrCoords)[1],_=n[2],Z=((b=(m=(n=new u.Z(i.Z.COORDS_BY_SCREEN,[e.X,e.Y],this).usrCoords)[1])-f)*(d=l-a)+(v=(g=n[2])-_)*(p=c-h))/(y=d*d+p*p),C=(v*d-b*p)/y,s||(Z/=P=o.Z.hypot(Z,C),C/=P),r||(C=0),[1,0,0,.5*(f+m-Z*(a+l)+C*(h+c)),Z,-C,.5*(_+g-C*(a+l)-Z*(h+c)),C,Z]},twoFingerTouchObject:function(t,e,r){var o,n,a,h,l,c=!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],e.evalVisProp("scalable"),e.evalVisProp("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.evalVisProp("snaptogrid")||e.evalVisProp("snaptopoints"),h=0;h<l&&!c;++h)c=(c=c||e.vertices[h].evalVisProp("snaptogrid")||e.vertices[h].evalVisProp("snaptopoints"))||!e.vertices[h].draggable();if(!c){for(a=[],h=0;h<l;++h)e.vertices[h].draggable()&&a.push(e.vertices[h]);o.applyOnce(a)}}this.update(),e.highlight(!0)}},twoFingerTouchCircle:function(t,e,r){var o,n,a,l,c,d,p,f,_,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]),c=new u.Z(i.Z.COORDS_BY_SCREEN,[o.Xprev,o.Yprev],this).usrCoords,l=new u.Z(i.Z.COORDS_BY_SCREEN,[n.Xprev,n.Yprev],this).usrCoords,a=new u.Z(i.Z.COORDS_BY_SCREEN,[n.X,n.Y],this).usrCoords,p=h.Z.rad(l.slice(1),c.slice(1),a.slice(1)),f=this.create("transform",[-c[1],-c[2]],{type:"translate"}),_=this.create("transform",[p],{type:"rotate"}),f.melt(_),e.evalVisProp("scalable")&&(d=h.Z.distance(c,a)/h.Z.distance(c,l),m=this.create("transform",[d,d],{type:"scale"}),f.melt(m)),g=this.create("transform",[c[1],c[2]],{type:"translate"}),f.melt(g),e.center.draggable()&&f.applyOnce([e.center]),"twoPoints"===e.method?e.point2.draggable()&&f.applyOnce([e.point2]):"pointRadius"===e.method&&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(t){var e,i,s=t.touches;return(e=this.attr.pan.enabled&&!this.attr.pan.needtwofingers&&1===s.length)&&(i=this.getMousePosition(t,0),this.initMoveOrigin(i[0],i[1])),e},touchOriginMove:function(t){var e,i=this.mode===this.BOARD_MODE_MOVE_ORIGIN;return i&&(e=this.getMousePosition(t,0),this.moveOrigin(e[0],e[1],!0)),i},originMoveEnd:function(){this.updateQuality=this.BOARD_QUALITY_HIGH,this.mode=this.BOARD_MODE_NONE},suppressDefault:function(t){return s.Z.exists(t)&&t.preventDefault(),!1},addEventHandlers:function(){e.Z.supportsPointerEvents()?this.addPointerEventHandlers():(this.addMouseEventHandlers(),this.addTouchEventHandlers()),null!==this.containerObj&&e.Z.addEvent(this.containerObj,"contextmenu",this.suppressDefault,this)},removeEventHandlers:function(){(this.hasPointerHandlers||this.hasMouseHandlers||this.hasTouchHandlers)&&null!==this.containerObj&&e.Z.removeEvent(this.containerObj,"contextmenu",this.suppressDefault,this),this.removeMouseEventHandlers(),this.removeTouchEventHandlers(),this.removePointerEventHandlers(),this.removeFullscreenEventHandlers(),this.removeKeyboardEventHandlers(),this.removeResizeEventHandlers()},addResizeEventHandlers:function(){if(this.resizeHandlers=[],e.Z.isBrowser){try{this.startResizeObserver(),this.resizeHandlers.push("resizeobserver")}catch(t){e.Z.addEvent(window,"resize",this.resizeListener,this),this.startIntersectionObserver(),this.resizeHandlers.push("resize")}e.Z.addEvent(window,"scroll",this.scrollListener,this),this.resizeHandlers.push("scroll");try{window.matchMedia("print").addEventListener("change",this.printListenerMatch.bind(this)),window.matchMedia("screen").addEventListener("change",this.printListenerMatch.bind(this)),this.resizeHandlers.push("print")}catch(e){t.Z.debug("Error adding printListener",e)}}},removeResizeEventHandlers:function(){var t;if(this.resizeHandlers.length>0&&e.Z.isBrowser){for(t=0;t<this.resizeHandlers.length;t++)switch(this.resizeHandlers[t]){case"resizeobserver":s.Z.exists(this.resizeObserver)&&this.stopResizeObserver();break;case"resize":e.Z.removeEvent(window,"resize",this.resizeListener,this),s.Z.exists(this.intersectionObserver)&&this.stopIntersectionObserver();break;case"scroll":e.Z.removeEvent(window,"scroll",this.scrollListener,this);break;case"print":window.matchMedia("print").removeEventListener("change",this.printListenerMatch.bind(this),!1),window.matchMedia("screen").removeEventListener("change",this.printListenerMatch.bind(this),!1)}this.resizeHandlers=[]}},addPointerEventHandlers:function(){if(!this.hasPointerHandlers&&e.Z.isBrowser){var t=this.attr.movetarget||this.containerObj;window.navigator.msPointerEnabled?(e.Z.addEvent(this.containerObj,"MSPointerDown",this.pointerDownListener,this),e.Z.addEvent(t,"MSPointerMove",this.pointerMoveListener,this)):(e.Z.addEvent(this.containerObj,"pointerdown",this.pointerDownListener,this),e.Z.addEvent(t,"pointermove",this.pointerMoveListener,this),e.Z.addEvent(t,"pointerleave",this.pointerLeaveListener,this),e.Z.addEvent(t,"click",this.pointerClickListener,this),e.Z.addEvent(t,"dblclick",this.pointerDblClickListener,this)),null!==this.containerObj&&(this.containerObj.style.touchAction="none"),this.hasPointerHandlers=!0}},addMouseEventHandlers:function(){if(!this.hasMouseHandlers&&e.Z.isBrowser){var t=this.attr.movetarget||this.containerObj;e.Z.addEvent(this.containerObj,"mousedown",this.mouseDownListener,this),e.Z.addEvent(t,"mousemove",this.mouseMoveListener,this),e.Z.addEvent(t,"click",this.mouseClickListener,this),e.Z.addEvent(t,"dblclick",this.mouseDblClickListener,this),this.hasMouseHandlers=!0}},addTouchEventHandlers:function(t){if(!this.hasTouchHandlers&&e.Z.isBrowser){var i=this.attr.movetarget||this.containerObj;e.Z.addEvent(this.containerObj,"touchstart",this.touchStartListener,this),e.Z.addEvent(i,"touchmove",this.touchMoveListener,this),this.hasTouchHandlers=!0}},addWheelEventHandlers:function(){!this.hasWheelHandlers&&e.Z.isBrowser&&(e.Z.addEvent(this.containerObj,"mousewheel",this.mouseWheelListener,this),e.Z.addEvent(this.containerObj,"DOMMouseScroll",this.mouseWheelListener,this),this.hasWheelHandlers=!0)},addFullscreenEventHandlers:function(){var t,i=["fullscreenchange","mozfullscreenchange","webkitfullscreenchange","msfullscreenchange"],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(t,"click",this.pointerClickListener,this),e.Z.removeEvent(t,"dblclick",this.pointerDblClickListener,this)),this.hasWheelHandlers&&(e.Z.removeEvent(this.containerObj,"mousewheel",this.mouseWheelListener,this),e.Z.removeEvent(this.containerObj,"DOMMouseScroll",this.mouseWheelListener,this)),this.hasPointerUp&&(window.navigator.msPointerEnabled?e.Z.removeEvent(this.document,"MSPointerUp",this.pointerUpListener,this):(e.Z.removeEvent(this.document,"pointerup",this.pointerUpListener,this),e.Z.removeEvent(this.document,"pointercancel",this.pointerUpListener,this)),this.hasPointerUp=!1),this.hasPointerHandlers=!1}},removeMouseEventHandlers:function(){if(this.hasMouseHandlers&&e.Z.isBrowser){var t=this.attr.movetarget||this.containerObj;e.Z.removeEvent(this.containerObj,"mousedown",this.mouseDownListener,this),e.Z.removeEvent(t,"mousemove",this.mouseMoveListener,this),e.Z.removeEvent(t,"click",this.mouseClickListener,this),e.Z.removeEvent(t,"dblclick",this.mouseDblClickListener,this),this.hasMouseUp&&(e.Z.removeEvent(this.document,"mouseup",this.mouseUpListener,this),this.hasMouseUp=!1),this.hasWheelHandlers&&(e.Z.removeEvent(this.containerObj,"mousewheel",this.mouseWheelListener,this),e.Z.removeEvent(this.containerObj,"DOMMouseScroll",this.mouseWheelListener,this)),this.hasMouseHandlers=!1}},removeTouchEventHandlers:function(){if(this.hasTouchHandlers&&e.Z.isBrowser){var t=this.attr.movetarget||this.containerObj;e.Z.removeEvent(this.containerObj,"touchstart",this.touchStartListener,this),e.Z.removeEvent(t,"touchmove",this.touchMoveListener,this),this.hasTouchEnd&&(e.Z.removeEvent(this.document,"touchend",this.touchEndListener,this),this.hasTouchEnd=!1),this.hasTouchHandlers=!1}},clickLeftArrow:function(){return this.moveOrigin(this.origin.scrCoords[1]+.1*this.canvasWidth,this.origin.scrCoords[2]),this},clickRightArrow:function(){return this.moveOrigin(this.origin.scrCoords[1]-.1*this.canvasWidth,this.origin.scrCoords[2]),this},clickUpArrow:function(){return this.moveOrigin(this.origin.scrCoords[1],this.origin.scrCoords[2]-.1*this.canvasHeight),this},clickDownArrow:function(){return this.moveOrigin(this.origin.scrCoords[1],this.origin.scrCoords[2]+.1*this.canvasHeight),this},gestureChangeListener:function(t){var e,r,o,n,a,l,c,d,p,f,_,m,g,b=!1,v=this.attr.zoom.factorx,Z=this.attr.zoom.factory,C=!1;return this.mode!==this.BOARD_MODE_ZOOM||(t.preventDefault(),l=h.Z.distance([t.touches[0].clientX,t.touches[0].clientY],[t.touches[1].clientX,t.touches[1].clientY],2),void 0===t.scale&&(t.scale=l/this.prevDist),!!s.Z.exists(this.prevCoords)&&(r=[t.touches[0].clientX-this.prevCoords[0][0],t.touches[0].clientY-this.prevCoords[0][1]],o=[t.touches[1].clientX-this.prevCoords[1][0],t.touches[1].clientY-this.prevCoords[1][1]],r[0]*r[0]+r[1]*r[1]<100&&o[0]*o[0]+o[1]*o[1]<100||(n=h.Z.rad(r,[0,0],o),"pan"!==this.isPreviousGesture&&Math.abs(n)>.2*Math.PI&&Math.abs(n)<1.8*Math.PI&&(b=!0),"pan"===this.isPreviousGesture||b||(Math.abs(t.scale)<.77||Math.abs(t.scale)>1.3)&&(b=!0),a=t.scale/this.prevScale,this.prevScale=t.scale,this.prevCoords=[[t.touches[0].clientX,t.touches[0].clientY],[t.touches[1].clientX,t.touches[1].clientY]],e=new u.Z(i.Z.COORDS_BY_SCREEN,this.getMousePosition(t,0),this),this.attr.pan.enabled&&this.attr.pan.needtwofingers&&!b?(this.isPreviousGesture="pan",this.moveOrigin(e.scrCoords[1],e.scrCoords[2],!0)):this.attr.zoom.enabled&&Math.abs(a-1)<.5&&(C=!1,p=this.attr.zoom.center,(this.attr.zoom.pinchhorizontal||this.attr.zoom.pinchvertical)&&(f=Math.abs(t.touches[0].clientX-t.touches[1].clientX),_=Math.abs(t.touches[0].clientY-t.touches[1].clientY),c=Math.abs(Math.atan2(_,f)),d=Math.PI*this.attr.zoom.pinchsensitivity/90),!this.keepaspectratio&&this.attr.zoom.pinchhorizontal&&c<d?(this.attr.zoom.factorx=a,this.attr.zoom.factory=1,m=0,g=0,C=!0):!this.keepaspectratio&&this.attr.zoom.pinchvertical&&Math.abs(c-.5*Math.PI)<d?(this.attr.zoom.factorx=1,this.attr.zoom.factory=a,m=0,g=0,C=!0):this.attr.zoom.pinch&&(this.attr.zoom.factorx=a,this.attr.zoom.factory=a,m=e.usrCoords[1],g=e.usrCoords[2],C=!0),C&&("board"===p?this.zoomIn():this.zoomIn(m,g),this.attr.zoom.factorx=v,this.attr.zoom.factory=Z))),!1))},gestureStartListener:function(t){var e;return t.preventDefault(),this.prevScale=1,this.prevDist=h.Z.distance([t.touches[0].clientX,t.touches[0].clientY],[t.touches[1].clientX,t.touches[1].clientY],2),this.prevCoords=[[t.touches[0].clientX,t.touches[0].clientY],[t.touches[1].clientX,t.touches[1].clientY]],this.isPreviousGesture="none",e=this.getMousePosition(t,0),this.initMoveOrigin(e[0],e[1]),this.mode=this.BOARD_MODE_ZOOM,!1},_isRequiredKeyPressed:function(t,e){var i=this.attr[e];return!!i.enabled&&!(!(i.needshift&&t.shiftKey||!i.needshift&&!t.shiftKey)||!(i.needctrl&&t.ctrlKey||!i.needctrl&&!t.ctrlKey))},_isPointerRegistered:function(t){var e,i=this._board_touches.length;for(e=0;e<i;e++)if(this._board_touches[e].pointerId===t.pointerId)return!0;return!1},_pointerStorePosition:function(t){var e,i;for(e=0,i=!1;e<this._board_touches.length;e++)if(this._board_touches[e].pointerId===t.pointerId){this._board_touches[e].clientX=t.clientX,this._board_touches[e].clientY=t.clientY,i=!0;break}return!i&&this._board_touches.length<2&&this._board_touches.push({pointerId:t.pointerId,clientX:t.clientX,clientY:t.clientY}),this},_pointerRemoveTouches:function(t){var e;for(e=0;e<this._board_touches.length;e++)if(this._board_touches[e].pointerId===t.pointerId){this._board_touches.splice(e,1);break}return this},_pointerClearTouches:function(t){this._board_touches.length>0&&this.dehighlightAll(),this.updateQuality=this.BOARD_QUALITY_HIGH,this.mode=this.BOARD_MODE_NONE,this._board_touches=[],this.touches=[]},_getPointerInputDevice:function(t){if(e.Z.isBrowser){if("touch"===t.pointerType||window.navigator.msMaxTouchPoints&&window.navigator.msMaxTouchPoints>1)return"touch";if("mouse"===t.pointerType)return"mouse";if("pen"===t.pointerType)return"pen"}return"mouse"},pointerDownListener:function(t,i,r){var o,n,a,h,l,c,d,u,p,f,_;if(!i&&this._isPointerRegistered(t))return!1;if(null===s.Z.evaluate(this.attr.movetarget)&&s.Z.exists(t.target)&&s.Z.exists(t.target.releasePointerCapture)&&t.target.releasePointerCapture(t.pointerId),!i&&t.isPrimary,this.hasPointerUp||(window.navigator.msPointerEnabled?e.Z.addEvent(this.document,"MSPointerUp",this.pointerUpListener,this):(e.Z.addEvent(this.document,"pointerup",this.pointerUpListener,this),e.Z.addEvent(this.document,"pointercancel",this.pointerUpListener,this)),this.hasPointerUp=!0),this.hasMouseHandlers&&this.removeMouseEventHandlers(),this.hasTouchHandlers&&this.removeTouchEventHandlers(),this.document.selection&&s.Z.isFunction(this.document.selection.empty))this.document.selection.empty();else if(window.getSelection&&(c=window.getSelection()).removeAllRanges)try{c.removeAllRanges()}catch(t){}if(this._inputDevice=this._getPointerInputDevice(t),u=this._inputDevice,this.options.precision.hasPoint=this.options.precision[u],h=this.getMousePosition(t),this._testForSelection(t),this.selectingMode)return this._startSelecting(h),void this.triggerEventHandlers(["touchstartselecting","pointerstartselecting","startselecting"],[t]);if(this.attr.drag.enabled&&i?(l=[i],this.mode=this.BOARD_MODE_DRAG):l=this.initMoveObject(h[0],h[1],t,u),d={num:t.pointerId,X:h[0],Y:h[1],Xprev:NaN,Yprev:NaN,Xstart:[],Ystart:[],Zstart:[]},l.length>0){for(f=l[l.length-1],p=!1,o=0;o<this.touches.length;o++)if(this.touches[o].obj===f){n=o,a=this.touches[o].targets.push(d)-1,p=!0;break}p||(a=0,n=this.touches.push({obj:f,targets:[d]})-1),this.dehighlightAll(),f.highlight(!0),this.saveStartPos(f,this.touches[n].targets[a]),t&&t.preventDefault&&!r&&t.preventDefault()}return this.touches.length>0&&!r&&(t.preventDefault(),t.stopPropagation()),!!e.Z.isBrowser&&("touch"!==this._getPointerInputDevice(t)?this.mode===this.BOARD_MODE_NONE&&this.mouseOriginMoveStart(t):(this._pointerStorePosition(t),t.touches=this._board_touches,1===t.touches.length&&this.mode===this.BOARD_MODE_NONE&&this.touchStartMoveOriginOneFinger(t)||2!==t.touches.length||this.mode!==this.BOARD_MODE_NONE&&this.mode!==this.BOARD_MODE_MOVE_ORIGIN||(this.mode===this.BOARD_MODE_MOVE_ORIGIN&&this.originMoveEnd(),this.gestureStartListener(t))),_="none",this.mode!==this.BOARD_MODE_NONE||!0!==s.Z.evaluate(this.attr.browserpan)&&!0!==s.Z.evaluate(this.attr.browserpan.enabled)||!1!==s.Z.evaluate(this.attr.pan.enabled)&&!0!==s.Z.evaluate(this.attr.pan.needtwofingers)||(_="auto"),this.containerObj.style.touchAction=_,this.triggerEventHandlers(["touchstart","down","pointerdown","MSPointerDown"],[t]),!0)},_handleClicks:function(t,e){var i,r,o=this;if(this.selectingMode)t.stopPropagation();else{if(r=s.Z.evaluate(this.attr.clickdelay),s.Z.evaluate(this.attr.dblclicksuppressclick))this._preventSingleClick=!1,this._singleClickTimer=setTimeout((function(){if(!o._preventSingleClick)for(i in o.triggerEventHandlers(e,[t]),o.clickObjects)o.clickObjects.hasOwnProperty(i)&&(o.clickObjects[i].triggerEventHandlers(e,[t]),delete o.clickObjects[i])}),r);else{for(i in o.triggerEventHandlers(e,[t]),o.clickObjects)o.clickObjects.hasOwnProperty(i)&&o.clickObjects[i].triggerEventHandlers(e,[t]);setTimeout((function(){for(i in o.clickObjects)o.clickObjects.hasOwnProperty(i)&&delete o.clickObjects[i]}),r)}t.stopPropagation()}},_handleDblClicks:function(t,e){var i;if(this.selectingMode)t.stopPropagation();else{for(i in this._preventSingleClick=!0,clearTimeout(this._singleClickTimer),this.triggerEventHandlers(e,[t]),this.clickObjects)this.clickObjects.hasOwnProperty(i)&&(this.clickObjects[i].triggerEventHandlers(e,[t]),delete this.clickObjects[i]);t.stopPropagation()}},pointerClickListener:function(t){this._handleClicks(t,["click","pointerclick"])},pointerDblClickListener:function(t){this._handleDblClicks(t,["dblclick","pointerdblclick"])},mouseClickListener:function(t){this._handleClicks(t,["click","mouseclick"])},mouseDblClickListener:function(t){this._handleDblClicks(t,["dblclick","mousedblclick"])},pointerMoveListener:function(t){var e,i,r,o,n,a;if("touch"===this._getPointerInputDevice(t)&&!this._isPointerRegistered(t))return this.BOARD_MODE_NONE;if(!this.checkFrameRate(t))return!1;if(this.mode!==this.BOARD_MODE_DRAG&&(this.dehighlightAll(),this.displayInfobox(!1)),this.mode!==this.BOARD_MODE_NONE&&(t.preventDefault(),t.stopPropagation()),this.updateQuality=this.BOARD_QUALITY_LOW,this._inputDevice=this._getPointerInputDevice(t),a=this._inputDevice,this.options.precision.hasPoint=this.options.precision[a],o=.3333*this.options.precision.hasPoint,r=this.getMousePosition(t),null===s.Z.evaluate(this.attr.movetarget)&&r[0]<=o||r[1]<=o||r[0]>=this.canvasWidth-o||r[1]>=this.canvasHeight-o)return this.mode===this.BOARD_MODE_NONE;if(this.selectingMode)this._moveSelecting(r),this.triggerEventHandlers(["touchmoveselecting","moveselecting","pointermoveselecting"],[t,this.mode]);else if(!this.mouseOriginMove(t))if(this.mode===this.BOARD_MODE_DRAG){for(e=0;e<this.touches.length;e++)for(n=this.touches[e].targets,i=0;i<n.length;i++)if(n[i].num===t.pointerId){n[i].X=r[0],n[i].Y=r[1],1===n.length?this.moveObject(r[0],r[1],this.touches[e],t,a):2===n.length&&(this.twoFingerMove(this.touches[e],t.pointerId,t),n[i].Xprev=r[0],n[i].Yprev=r[1]);break}}else"touch"===this._getPointerInputDevice(t)&&(this._pointerStorePosition(t),2===this._board_touches.length&&(t.touches=this._board_touches,this.gestureChangeListener(t))),this.highlightElements(r[0],r[1],t,-1);return this.triggerEventHandlers(["pointermove","MSPointerMove","move"],[t,this.mode]),this.updateQuality=this.BOARD_QUALITY_HIGH,this.mode===this.BOARD_MODE_NONE},pointerUpListener:function(t){var i,r,o,n,a,h=!1;if(this.triggerEventHandlers(["touchend","up","pointerup","MSPointerUp"],[t]),this.displayInfobox(!1),t)for(i=0;i<this.touches.length;i++)for(a=this.touches[i].targets,r=0;r<a.length;r++)if(a[r].num===t.pointerId){a.splice(r,1),0===a.length&&this.touches.splice(i,1);break}if(this.originMoveEnd(),this.update(),this.selectingMode)this._stopSelecting(t),this.triggerEventHandlers(["touchstopselecting","pointerstopselecting","stopselecting"],[t]),this.stopSelectionMode();else for(i=this.downObjects.length-1;i>-1;i--){for(o=!1,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(),h=!0),n=this.downObjects[i].eventHandlers,(s.Z.exists(n.click)&&n.click.length>0||s.Z.exists(n.pointerclick)&&n.pointerclick.length>0||s.Z.exists(n.dblclick)&&n.dblclick.length>0||s.Z.exists(n.pointerdblclick)&&n.pointerdblclick.length>0)&&(this.clickObjects[this.downObjects[i].id]=this.downObjects[i]),this.downObjects.splice(i,1))}return this.hasPointerUp&&(window.navigator.msPointerEnabled?e.Z.removeEvent(this.document,"MSPointerUp",this.pointerUpListener,this):(e.Z.removeEvent(this.document,"pointerup",this.pointerUpListener,this),e.Z.removeEvent(this.document,"pointercancel",this.pointerUpListener,this)),this.hasPointerUp=!1),this._pointerClearTouches(t.pointerId),"touch"!==this._getPointerInputDevice(t)&&this.dehighlightAll(),h&&this.update(),!0},pointerLeaveListener:function(t){return this.displayInfobox(!1),this.dehighlightAll(),!0},touchStartListener:function(r){var o,n,a,h,l,c,d,u,p,f,_=this.options.precision.touch,m=r.touches;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,n=0;n<f.length;n++){f[n].num=-1,_=this.options.precision.touch;do{for(a=0;a<m.length;a++)if(Math.abs(Math.pow(m[a].screenX-f[n].X,2)+Math.pow(m[a].screenY-f[n].Y,2))<_*_){f[n].num=a,f[n].X=m[a].screenX,f[n].Y=m[a].screenY,m[a].jxg_isused=!0;break}_*=2}while(-1===f[n].num&&_<this.options.precision.touchMax);-1===f[n].num&&(t.Z.debug("i couldn't find a targettouches for target no "+n+" on "+this.touches[o].obj.name+" ("+this.touches[o].obj.id+"). Removed the target."),t.Z.debug("eps = "+_+", touchMax = "+v.Z.precision.touchMax),f.splice(o,1))}for(o=0;o<m.length;o++)if(!m[o].jxg_isused){if(h=this.getMousePosition(r,o),this.selectingMode)return this._startSelecting(h),this.triggerEventHandlers(["touchstartselecting","startselecting"],[r]),r.preventDefault(),r.stopPropagation(),this.options.precision.hasPoint=this.options.precision.mouse,this.touches.length>0;if(0!==(l=this.initMoveObject(h[0],h[1],r,"touch")).length)if(c=l[l.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,n=0;n<this.touches.length;n++)c.id===this.touches[n].obj.id&&(d=!0,1===this.touches[n].targets.length&&(this.saveStartPos(c,p),this.touches[n].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(t){var e,i,s,r,o=t.touches;if(!this.checkFrameRate(t))return!1;if(this.mode!==this.BOARD_MODE_NONE&&(t.preventDefault(),t.stopPropagation()),this.mode!==this.BOARD_MODE_DRAG&&(this.dehighlightAll(),this.displayInfobox(!1)),this._inputDevice="touch",this.options.precision.hasPoint=this.options.precision.touch,this.updateQuality=this.BOARD_QUALITY_LOW,this.selectingMode){for(e=0;e<o.length;e++)if(!o[e].jxg_isused){i=this.getMousePosition(t,e),this._moveSelecting(i),this.triggerEventHandlers(["touchmoves","moveselecting"],[t,this.mode]);break}}else if(!this.touchOriginMove(t))if(this.mode===this.BOARD_MODE_DRAG){for(e=0;e<this.touches.length;e++)if(1===(r=this.touches[e].targets).length){if(o[r[0].num]){if((i=this.getMousePosition(t,r[0].num))[0]<0||i[0]>this.canvasWidth||i[1]<0||i[1]>this.canvasHeight)return;r[0].X=i[0],r[0].Y=i[1],this.moveObject(i[0],i[1],this.touches[e],t,"touch")}}else if(2===r.length&&r[0].num>-1&&r[1].num>-1&&o[r[0].num]&&o[r[1].num]){if(i=this.getMousePosition(t,r[0].num),s=this.getMousePosition(t,r[1].num),i[0]<0||i[0]>this.canvasWidth||i[1]<0||i[1]>this.canvasHeight||s[0]<0||s[0]>this.canvasWidth||s[1]<0||s[1]>this.canvasHeight)return;r[0].X=i[0],r[0].Y=i[1],r[1].X=s[0],r[1].Y=s[1],this.twoFingerMove(this.touches[e],r[0].num,t),r[0].Xprev=i[0],r[0].Yprev=i[1],r[1].Xprev=s[0],r[1].Yprev=s[1]}}else 2===o.length&&this.gestureChangeListener(t),i=this.getMousePosition(t,0),this.highlightElements(i[0],i[1],t,-1);return this.mode!==this.BOARD_MODE_DRAG&&this.displayInfobox(!1),this.triggerEventHandlers(["touchmove","move"],[t,this.mode]),this.options.precision.hasPoint=this.options.precision.mouse,this.updateQuality=this.BOARD_QUALITY_HIGH,this.mode===this.BOARD_MODE_NONE},touchEndListener:function(t){var r,o,n,a,h,l,c=this.options.precision.touch,d=[],u=t&&t.touches,p=!1;if(this.triggerEventHandlers(["touchend","up"],[t]),this.displayInfobox(!1),this.selectingMode)this._stopSelecting(t),this.triggerEventHandlers(["touchstopselecting","stopselecting"],[t]),this.stopSelectionMode();else if(u&&u.length>0){for(r=0;r<this.touches.length;r++)d[r]=this.touches[r];for(this.touches.length=0,r=0;r<u.length;r++)u[r].jxg_isused=!1;for(r=0;r<d.length;r++){for(a=!1,h=0,l=d[r].targets,o=0;o<l.length;o++)for(l[o].found=!1,n=0;n<u.length;n++)if(Math.abs(Math.pow(u[n].screenX-l[o].X,2)+Math.pow(u[n].screenY-l[o].Y,2))<c*c){l[o].found=!0,l[o].num=n,l[o].X=u[n].screenX,l[o].Y=u[n].screenY,h+=1;break}if(s.Z.isPoint(d[r].obj)?a=l[0]&&l[0].found:d[r].obj.elementClass===i.Z.OBJECT_CLASS_LINE?a=l[0]&&l[0].found||l[1]&&l[1].found:d[r].obj.elementClass===i.Z.OBJECT_CLASS_CIRCLE&&(a=1===h||3===h),a)for(this.touches.push({obj:d[r].obj,targets:[]}),o=0;o<l.length;o++)l[o].found&&this.touches[this.touches.length-1].targets.push({num:l[o].num,X:l[o].screenX,Y:l[o].screenY,Xprev:NaN,Yprev:NaN,Xstart:l[o].Xstart,Ystart:l[o].Ystart,Zstart:l[o].Zstart});else d[r].obj.noHighlight()}}else this.touches.length=0;for(r=this.downObjects.length-1;r>-1;r--){for(a=!1,o=0;o<this.touches.length;o++)this.touches[o].obj.id===this.downObjects[r].id&&(a=!0);a||(this.downObjects[r].triggerEventHandlers(["touchup","up"],[t]),s.Z.exists(this.downObjects[r].coords)||(this.downObjects[r].snapToGrid(),this.downObjects[r].snapToPoints(),p=!0),this.downObjects.splice(r,1))}return u&&0!==u.length||(this.hasTouchEnd&&(e.Z.removeEvent(this.document,"touchend",this.touchEndListener,this),this.hasTouchEnd=!1),this.dehighlightAll(),this.updateQuality=this.BOARD_QUALITY_HIGH,this.originMoveEnd(),p&&this.update()),!0},mouseDownListener:function(t){var i,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){var e,s;return!(this.attr.zoom.enabled&&this.attr.zoom.wheel&&this._isRequiredKeyPressed(t,"zoom"))||(e=(t=t||window.event).detail?-t.detail:t.wheelDelta/40,s="board"===this.attr.zoom.center?[]:new u.Z(i.Z.COORDS_BY_SCREEN,this.getMousePosition(t),this).usrCoords,e>0?this.zoomIn(s[1],s[2]):this.zoomOut(s[1],s[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)&&(9!==e.keyCode&&((!(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):e.shiftKey||e.ctrlKey||(s.Z.exists(o.visProp)&&(s.Z.exists(o.visProp.snaptogrid)&&o.visProp.snaptogrid&&o.evalVisProp("snapsizex")&&o.evalVisProp("snapsizey")?(p=d=(n=o.getSnapSizes())[0],f=u=n[1]):s.Z.exists(o.visProp.attracttogrid)&&o.visProp.attracttogrid&&o.evalVisProp("attractordistance")&&o.evalVisProp("attractorunit")&&(u=d=1.1*o.evalVisProp("attractordistance"),"screen"===o.evalVisProp("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)&&!o.evalVisProp("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(t,e){var i,r,o,n=t,a=e;return void 0===t&&(n=this.containerObj.offsetWidth,a=this.containerObj.offsetHeight),void 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R=t.Z.Util;t.Z.CanvasRenderer=function(i,s){if(this.type="canvas",this.canvasRoot=null,this.suspendHandle=null,this.canvasId=R.genUUID(),this.canvasNamespace=null,e.Z.isBrowser)this.container=i,this.container.style.MozUserSelect="none",this.container.style.userSelect="none",this.container.style.overflow="hidden",""===this.container.style.position&&(this.container.style.position="relative"),this.container.innerHTML=['<canvas id="',this.canvasId,'" width="',s.width,'px" height="',s.height,'px"></canvas>'].join(""),this.canvasRoot=this.container.ownerDocument.getElementById(this.canvasId),this.canvasRoot.style.display="block",this.context=this.canvasRoot.getContext("2d");else if(e.Z.isNode())try{this.canvasRoot=t.Z.createCanvas(500,500),this.context=this.canvasRoot.getContext("2d")}catch(t){throw new Error('JXG.createCanvas not available.\nInstall the npm package `canvas`\nand call:\n    import { createCanvas } from "canvas.js"\n    JXG.createCanvas = 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Math.abs(g)>Math.abs(b)?m/=Math.abs(g):m/=Math.abs(b),g>=0?(o=0,n=g*m):(o=-g*m,n=0),b>=0?(a=0,h=b*m):(a=-b*m,h=0),s=new u.Z(i.Z.COORDS_BY_USER,[v[0],v[1]],t.board),f=(r=new u.Z(i.Z.COORDS_BY_USER,[v[2],v[3]],t.board)).scrCoords[1]-s.scrCoords[1],_=r.scrCoords[2]-s.scrCoords[2],l=s.scrCoords[1]+f*o,d=s.scrCoords[2]+_*a,c=s.scrCoords[1]+f*n,p=s.scrCoords[2]+_*h,this.context.createLinearGradient(l,d,c,p)},updateGradientCircle:function(t,e,s,r,o,n,a){var h,l,c,d,p,f,_,m,g,b,v=t.getBoundingBox();return h=new u.Z(i.Z.COORDS_BY_USER,[v[0],v[1]],t.board),g=(l=new u.Z(i.Z.COORDS_BY_USER,[v[2],v[3]],t.board)).scrCoords[1]-h.scrCoords[1],b=h.scrCoords[2]-l.scrCoords[2],c=h.scrCoords[1]+g*e,d=l.scrCoords[2]+b*s,f=h.scrCoords[1]+g*o,_=l.scrCoords[2]+b*n,p=r*(g+b)*.5,m=a*(g+b)*.5,this.context.createRadialGradient(f,_,m,c,d,p)},updateGradient:function(t){var e,i,s=t.evalVisProp("gradient");return e=t.evalVisProp("fillcolor"),"linear"===s?i=this.updateGradientAngle(t,t.evalVisProp("gradientangle")):"radial"===s&&(i=this.updateGradientCircle(t,t.evalVisProp("gradientcx"),t.evalVisProp("gradientcy"),t.evalVisProp("gradientr"),t.evalVisProp("gradientfx"),t.evalVisProp("gradientfy"),t.evalVisProp("gradientfr"))),"none"!==e&&""!==e&&!1!==e&&(i.addColorStop(t.evalVisProp("gradientstartoffset"),e),i.addColorStop(t.evalVisProp("gradientendoffset"),t.evalVisProp("gradientsecondcolor"))),i},_setColor:function(t,e,i){var s,r,o,n,a,h,l,c,d,u=!0;return e=e||"stroke",i=i||e,r=this._getHighlighted(t),"none"!==(n=t.evalVisProp(r+e+"color"))&&""!==n&&!1!==n?(l=(l=t.evalVisProp(r+e+"opacity"))>0?l:0,9!==n.length?(h=n,c=l):(h=(a=S.Z.rgba2rgbo(n))[0],c=l*a[1]),this.context.globalAlpha=c,this.context[i+"Style"]=h):u=!1,"stroke"===e||"linear"!==(d=t.evalVisProp("gradient"))&&"radial"!==d?(o=parseFloat(t.evalVisProp(r+"strokewidth")),"stroke"!==e||isNaN(o)||(0===o?this.context.globalAlpha=0:this.context.lineWidth=o),s=t.evalVisProp("linecap"),"stroke"===e&&void 0!==s&&""!==s&&(this.context.lineCap=s),u):(this.context.globalAlpha=c,this.context[i+"Style"]=this.updateGradient(t),u)},_stroke:function(t){var e=this.context,i=t.evalVisProp("dash"),s=t.evalVisProp("dashscale")?.5*t.evalVisProp("strokewidth"):1;e.save(),i>0?e.setLineDash&&e.setLineDash(this.dashArray[i-1].map((function(t){return t*s}))):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=t.evalVisProp("face"),i=t.evalVisProp("size"),s=t.coords.scrCoords,r=i*Math.sqrt(3)*.5,o=.5*i,n=parseFloat(t.evalVisProp("strokewidth"))/2,a=this.context;if(t.visPropCalc.visible)switch(e){case"cross":case"x":a.beginPath(),a.moveTo(s[1]-i,s[2]-i),a.lineTo(s[1]+i,s[2]+i),a.moveTo(s[1]+i,s[2]-i),a.lineTo(s[1]-i,s[2]+i),a.lineCap="round",a.lineJoin="round",a.closePath(),this._stroke(t);break;case"circle":case"o":a.beginPath(),a.arc(s[1],s[2],i+1+n,0,2*Math.PI,!1),a.closePath(),this._fill(t),this._stroke(t);break;case"square":case"[]":if(i<=0)break;a.save(),this._setColor(t,"stroke","fill")&&a.fillRect(s[1]-i-n,s[2]-i-n,2*i+3*n,2*i+3*n),a.restore(),a.save(),this._setColor(t,"fill"),a.fillRect(s[1]-i+n,s[2]-i+n,2*i-n,2*i-n),a.restore();break;case"plus":case"+":a.beginPath(),a.moveTo(s[1]-i,s[2]),a.lineTo(s[1]+i,s[2]),a.moveTo(s[1],s[2]-i),a.lineTo(s[1],s[2]+i),a.lineCap="round",a.lineJoin="round",a.closePath(),this._stroke(t);break;case"divide":case"|":a.beginPath(),a.moveTo(s[1],s[2]-i),a.lineTo(s[1],s[2]+i),a.lineCap="round",a.lineJoin="round",a.closePath(),this._stroke(t);break;case"minus":case"-":a.beginPath(),a.moveTo(s[1]-i,s[2]),a.lineTo(s[1]+i,s[2]),a.lineCap="round",a.lineJoin="round",a.closePath(),this._stroke(t);break;case"diamond2":case"<<>>":i*=1.41;case"diamond":case"<>":a.beginPath(),a.moveTo(s[1]-i,s[2]),a.lineTo(s[1],s[2]+i),a.lineTo(s[1]+i,s[2]),a.lineTo(s[1],s[2]-i),a.closePath(),this._fill(t),this._stroke(t);break;case"triangleup":case"A":case"a":case"^":a.beginPath(),a.moveTo(s[1],s[2]-i),a.lineTo(s[1]-r,s[2]+o),a.lineTo(s[1]+r,s[2]+o),a.closePath(),this._fill(t),this._stroke(t);break;case"triangledown":case"v":a.beginPath(),a.moveTo(s[1],s[2]+i),a.lineTo(s[1]-r,s[2]-o),a.lineTo(s[1]+r,s[2]-o),a.closePath(),this._fill(t),this._stroke(t);break;case"triangleleft":case"<":a.beginPath(),a.moveTo(s[1]-i,s[2]),a.lineTo(s[1]+o,s[2]-r),a.lineTo(s[1]+o,s[2]+r),a.closePath(),this._fill(t),this._stroke(t);break;case"triangleright":case">":a.beginPath(),a.moveTo(s[1]+i,s[2]),a.lineTo(s[1]-o,s[2]-r),a.lineTo(s[1]-o,s[2]+r),a.closePath(),this._fill(t),this._stroke(t)}},updatePoint:function(t){this.drawPoint(t)},drawArrows:function(t,e,s,r,o){var n,a,h,l,c,d,u,p,f,_,m,g,b,v,Z,C,y,P,E,x,O=this.context,w=1,M=1,S=1,T=o.evFirst,N=o.evLast;if("none"!==t.evalVisProp("strokecolor")&&(T||N)){if(t.elementClass===i.Z.OBJECT_CLASS_LINE)n=e.scrCoords[1],a=e.scrCoords[2],h=s.scrCoords[1],l=s.scrCoords[2],E=x=Math.atan2(l-a,h-n);else{if(n=t.points[0].scrCoords[1],a=t.points[0].scrCoords[2],(P=t.points.length-1)<1)return;h=t.points[t.points.length-1].scrCoords[1],l=t.points[t.points.length-1].scrCoords[2],v=t.points[1].scrCoords[1]-t.points[0].scrCoords[1],Z=t.points[1].scrCoords[2]-t.points[0].scrCoords[2],C=t.points[P].scrCoords[1]-t.points[P-1].scrCoords[1],y=t.points[P].scrCoords[2]-t.points[P-1].scrCoords[2],T&&(E=Math.atan2(Z,v)),N&&(x=Math.atan2(y,C))}if(d=t.evalVisProp(r+"strokewidth"),T)if(c=d*o.sizeFirst,f=w=o.typeFirst,2===w)p=[[c,.5*-c],[0,0],[c,.5*c],[.5*c,0]];else if(3===w)p=[[c/3,.5*-c],[0,.5*-c],[0,.5*c],[c/3,.5*c]];else if(4===w)for(c/=10,M=3,b=(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,g=0;g<b;g++)p[g][0]*=-c,p[g][1]*=c,p[g][0]+=10*c,p[g][1]-=3.31*c;else if(5===w)for(c/=10,M=3,b=(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,g=0;g<b;g++)p[g][0]*=-c,p[g][1]*=c,p[g][0]+=10*c,p[g][1]-=3.28*c;else if(6===w)for(c/=10,M=3,b=(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,g=0;g<b;g++)p[g][0]*=-c,p[g][1]*=c,p[g][0]+=10*c,p[g][1]-=2.84*c;else if(7===w)for(c=d,M=3,b=(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,g=0;g<b;g++)p[g][0]*=-c,p[g][1]*=c,p[g][0]+=10*c,p[g][1]-=5.2*c;else p=[[c,.5*-c],[0,0],[c,.5*c]];if(N)if(c=d*o.sizeLast,_=w=o.typeLast,2===w)u=[[-c,.5*-c],[0,0],[-c,.5*c],[.5*-c,0]];else if(3===w)u=[[-c/3,.5*-c],[0,.5*-c],[0,.5*c],[-c/3,.5*c]];else if(4===w)for(c/=10,S=3,b=(u=[[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,g=0;g<b;g++)u[g][0]*=c,u[g][1]*=c,u[g][0]-=10*c,u[g][1]-=3.31*c;else if(5===w)for(c/=10,S=3,b=(u=[[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,g=0;g<b;g++)u[g][0]*=c,u[g][1]*=c,u[g][0]-=10*c,u[g][1]-=3.28*c;else if(6===w)for(c/=10,S=3,b=(u=[[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,g=0;g<b;g++)u[g][0]*=c,u[g][1]*=c,u[g][0]-=10*c,u[g][1]-=2.84*c;else if(7===w)for(c=d,S=3,b=(u=[[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,g=0;g<b;g++)u[g][0]*=c,u[g][1]*=c,u[g][0]-=10*c,u[g][1]-=5.2*c;else u=[[-c,.5*-c],[0,0],[-c,.5*c]];O.save(),this._setColor(t,"stroke","fill")&&(this._setColor(t,"stroke"),T&&(m=7!==f,this._drawPolygon(this._translateShape(this._rotateShape(p,E),n,a),M,m)),N&&(m=7!==_,this._drawPolygon(this._translateShape(this._rotateShape(u,x),h,l),S,m))),O.restore()}},drawLine:function(t){var e,s,r,o,n,a=new u.Z(i.Z.COORDS_BY_USER,t.point1.coords.usrCoords,t.board),l=new u.Z(i.Z.COORDS_BY_USER,t.point2.coords.usrCoords,t.board),c=null;t.visPropCalc.visible&&(r=this._getHighlighted(t),o=t.evalVisProp(r+"strokewidth"),((n=this.getArrowHeadData(t,o,r)).evFirst||n.evLast)&&(c=-4),h.Z.calcStraight(t,a,l,c),this.handleTouchpoints(t,a,l,n),e=new u.Z(i.Z.COORDS_BY_USER,a.usrCoords,t.board),s=new u.Z(i.Z.COORDS_BY_USER,l.usrCoords,t.board),this.getPositionArrowHead(t,a,l,n),this.context.beginPath(),this.context.moveTo(a.scrCoords[1],a.scrCoords[2]),this.context.lineTo(l.scrCoords[1],l.scrCoords[2]),this._stroke(t),(n.evFirst||n.evLast)&&this.drawArrows(t,e,s,r,n))},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,s;t.evalVisProp("handdrawing")?this.updatePathStringBezierPrim(t):this.updatePathStringPrim(t),t.numberPoints>1&&(e=this._getHighlighted(t),i=t.evalVisProp(e+"strokewidth"),((s=this.getArrowHeadData(t,i,e)).evFirst||s.evLast)&&this.drawArrows(t,null,null,e,s))},updateCurve:function(t){this.drawCurve(t)},drawEllipse:function(t){var e=t.center.coords.scrCoords[1],i=t.center.coords.scrCoords[2],s=t.board.unitX,r=t.board.unitY,o=2*t.Radius(),n=2*t.Radius(),a=o*s,h=n*r,l=e-a/2,c=i-h/2,d=a/2*.5522848,u=h/2*.5522848,p=l+a,f=c+h,_=l+a/2,m=c+h/2,g=this.context;o>0&&n>0&&!isNaN(e+i)&&(g.beginPath(),g.moveTo(l,m),g.bezierCurveTo(l,m-u,_-d,c,_,c),g.bezierCurveTo(_+d,c,p,m-u,p,m),g.bezierCurveTo(p,m+u,_+d,f,_,f),g.bezierCurveTo(_-d,f,l,m+u,l,m),g.closePath(),this._fill(t),this._stroke(t))},updateEllipse:function(t){return this.drawEllipse(t)},displayCopyright:function(t,e){var i=this.context,s=4+1.8*e,r=6+e;i.save(),i.font=e+"px Arial",i.globalAlpha=.2,i.lineWidth=.5,i.fillText(t+".",s,r),i.restore()},displayLogo:function(t,e,i){var r=this.context,o=1.5*e;s.Z.exists(i._logo_image)||(i._logo_image=new 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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()"),v.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||this.evalVisProp("alwaysintersect")||(n=t.Z.Math.Geometry.projectCoordsToSegment(this.coords.usrCoords,e.point1.coords.usrCoords,e.point2.coords.usrCoords))[1]>=0&&n[1]<=1)&&h.Z.distPointLine(this.coords.usrCoords,e.stdform)<r:e.elementClass===i.Z.OBJECT_CLASS_CIRCLE?e.evalVisProp("hasinnerpoints")?this.Dist(e.center)<e.Radius()+r:Math.abs(this.Dist(e.center)-e.Radius())<r:e.elementClass===i.Z.OBJECT_CLASS_CURVE?(a=h.Z.projectPointToCurve(this,e,this.board)[0],h.Z.distance(this.coords.usrCoords,a.usrCoords,3)<r):e.type===i.Z.OBJECT_TYPE_POLYGON?!(!e.evalVisProp("hasinnerpoints")||!e.pnpoly(this.coords.usrCoords[1],this.coords.usrCoords[2],t.Z.COORDS_BY_USER))||(n=h.Z.projectCoordsToPolygon(this.coords.usrCoords,e),h.Z.distance(this.coords.usrCoords,n,3)<r):e.type===i.Z.OBJECT_TYPE_TURTLE&&(a=h.Z.projectPointToTurtle(this,e,this.board),h.Z.distance(this.coords.usrCoords,a.usrCoords,3)<r)},cloneToBackground:function(){var t=s.Z.getCloneObject(this);return 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=j.Z.create(t.Z.Point,e,i,n)))throw new Error("JSXGraph: Can't create point with parent types '"+typeof i[0]+"' and '"+typeof i[1]+"'.\nPossible parent types: [x,y], [z,x,y], [element,transformation]");return o},t.Z.createGlider=function(t,e,i){var r,o,n=s.Z.copyAttributes(i,t.options,"glider");return o=1===e.length?[0,0]:e.slice(0,2),(r=t.create("point",o,n)).makeGlider(e[e.length-1]),r},t.Z.createIntersectionPoint=function(t,e,r){var o,n,a,l,c,d,u=s.Z.copyAttributes(r,t.options,"intersection");e.push(0,0),n=t.select(e[0]),a=t.select(e[1]),c=e[2]||0,d=e[3]||0,o=t.create("point",[0,0,0],u),l=h.Z.intersectionFunction(t,n,a,c,d,o.visProp.alwaysintersect),o.addConstraint([l]);try{n.addChild(o),a.addChild(o)}catch(t){throw new Error("JSXGraph: Can't create 'intersection' with parent types '"+typeof e[0]+"' and '"+typeof e[1]+"'.")}return o.type=i.Z.OBJECT_TYPE_INTERSECTION,o.elType="intersection",o.setParents([n.id,a.id]),o.intersectionNumbers=[c,d],o.getParents=function(){return this.parents.concat(this.intersectionNumbers)},o.generatePolynomial=function(){var t=n.generatePolynomial(o),e=a.generatePolynomial(o);return 0===t.length||0===e.length?[]:[t[0],e[0]]},o},t.Z.createOtherIntersectionPoint=function(t,e,r){var o,n,a,l,c,d,u,p=!0,f=s.Z.copyAttributes(r,t.options,"otherintersection");if(3!==e.length)p=!1;else{for(n=t.select(e[0]),a=t.select(e[1]),c=s.Z.isArray(e[2])?e[2]:[e[2]],l=0;l<c.length;l++)if(c[l]=t.select(c[l]),!s.Z.isPoint(c[l])){p=!1;break}p&&((u=[n,a]).sort((function(t,e){return e.elementClass-t.elementClass})),([i.Z.OBJECT_CLASS_CIRCLE,i.Z.OBJECT_CLASS_CURVE].indexOf(u[0].elementClass)<0||[i.Z.OBJECT_CLASS_CIRCLE,i.Z.OBJECT_CLASS_CURVE,i.Z.OBJECT_CLASS_LINE].indexOf(u[1].elementClass)<0)&&(p=!1))}if(!p)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|curve|line,circle|curve|line, point], not two lines");return o=t.create("point",[0,0,0],f),d=h.Z.otherIntersectionFunction(u,c,o.visProp.alwaysintersect,o.visProp.precision),o.addConstraint([d]),o.type=i.Z.OBJECT_TYPE_INTERSECTION,o.elType="otherintersection",o.setParents([n.id,a.id]),o.addParents(c),n.addChild(o),a.addChild(o),n.elementClass===i.Z.OBJECT_CLASS_CIRCLE&&(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.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 Y=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:"Slope",Slope:"Slope",Direction:"Direction",getRise:"getRise",Rise:"getRise",getYIntersect:"getRise",YIntersect:"getRise",getAngle:"getAngle",Angle:"getAngle",L:"L",length:"L",setFixedLength:"setFixedLength",setStraight:"setStraight"})},t.Z.Line.prototype=new I.Z,t.Z.extend(t.Z.Line.prototype,{hasPoint:function(t,e){var r,n,a,l,c,d,p,f,_,m=[],g=[1,t,e],b=this.evalVisProp("strokewidth");return s.Z.isObject(this.evalVisProp("precision"))?(_=this.board._inputDevice,f=this.evalVisProp("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=h.Z.distPointLine(g,m),!(isNaN(r)||r>f)&&(!(!this.evalVisProp("straightfirst")||!this.evalVisProp("straightlast"))||(a=this.point1.coords,l=this.point2.coords,n=[0,m[1],m[2]],n=o.Z.crossProduct(n,g),(n=o.Z.crossProduct(n,m))[1]/=n[0],n[2]/=n[0],n[0]=1,n=new u.Z(i.Z.COORDS_BY_SCREEN,n.slice(1),this.board).usrCoords,c=a.distance(i.Z.COORDS_BY_USER,l),a=a.usrCoords.slice(0),l=l.usrCoords.slice(0),c<o.Z.eps?d=0:(c===Number.POSITIVE_INFINITY&&(c=1/o.Z.eps,Math.abs(l[0])<o.Z.eps?(c/=h.Z.distance([0,0,0],l),l=[1,a[1]+l[1]*c,a[2]+l[2]*c]):(c/=h.Z.distance([0,0,0],a),a=[1,l[1]+a[1]*c,l[2]+a[2]*c])),c=l[p=1]-a[p],Math.abs(c)<o.Z.eps&&(c=l[p=2]-a[p]),d=(n[p]-a[p])/c),!(!this.evalVisProp("straightfirst")&&d<0)&&!(!this.evalVisProp("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(),this.evalVisProp("trace")&&this.cloneToBackground(!0),this):this},updateSegmentFixedLength:function(){var t,e,s,r,n,a,h,l;return this.hasFixedLength?(t=this.point1.Dist(this.point2),e=this.evalVisProp("nonnegativeonly")?Math.max(0,this.fixedLength()):Math.abs(this.fixedLength()),s=this.fixedLengthOldCoords[0].distance(i.Z.COORDS_BY_USER,this.point1.coords),r=this.fixedLengthOldCoords[1].distance(i.Z.COORDS_BY_USER,this.point2.coords),(s>o.Z.eps||r>o.Z.eps||t!==e)&&(n=this.point1.isDraggable&&this.point1.type!==i.Z.OBJECT_TYPE_GLIDER&&!this.point1.evalVisProp("fixed"),a=this.point2.isDraggable&&this.point2.type!==i.Z.OBJECT_TYPE_GLIDER&&!this.point2.evalVisProp("fixed"),t>o.Z.eps?s>r&&a||s<=r&&a&&!n?(this.point2.setPositionDirectly(i.Z.COORDS_BY_USER,[this.point1.X()+(this.point2.X()-this.point1.X())*e/t,this.point1.Y()+(this.point2.Y()-this.point1.Y())*e/t]),this.point2.fullUpdate()):(s<=r&&n||s>r&&n&&!a)&&(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()):(h=Math.random()-.5,l=Math.random()-.5,t=o.Z.hypot(h,l),a?(this.point2.setPositionDirectly(i.Z.COORDS_BY_USER,[this.point1.X()+h*e/t,this.point1.Y()+l*e/t]),this.point2.fullUpdate()):n&&(this.point1.setPositionDirectly(i.Z.COORDS_BY_USER,[this.point2.X()+h*e/t,this.point2.Y()+l*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])},Direction:function(){var t=this.point1.coords.usrCoords,e=this.point2.coords.usrCoords;return 0===e[0]&&0!==t[0]?e.slice(1):0===t[0]&&0!==e[0]?[-t[1],-t[2]]:[e[1]-t[1],e[2]-t[2]]},isVertical:function(){var t=this.Direction();return 0===t[0]&&0!==t[1]},isHorizontal:function(){var t=this.Direction();return 0===t[1]&&0!==t[0]},setStraight:function(t,e){return this.visProp.straightfirst=t,this.visProp.straightlast=e,this.board.renderer.updateLine(this),this},getTextAnchor:function(){return new u.Z(i.Z.COORDS_BY_USER,[.5*(this.point2.X()+this.point1.X()),.5*(this.point2.Y()+this.point1.Y())],this.board)},setLabelRelativeCoords:function(t){s.Z.exists(this.label)&&(this.label.relativeCoords=new u.Z(i.Z.COORDS_BY_SCREEN,[t[0],-t[1]],this.board))},getLabelAnchor:function(){var t,e,r,n,a,l,c,d,p=1.5,f=0,_=new u.Z(i.Z.COORDS_BY_USER,this.point1.coords.usrCoords,this.board),m=new u.Z(i.Z.COORDS_BY_USER,this.point2.coords.usrCoords,this.board),g=this.evalVisProp("straightfirst"),b=this.evalVisProp("straightlast");if((g||b)&&h.Z.calcStraight(this,_,m,0),_=_.scrCoords,m=m.scrCoords,!s.Z.exists(this.label))return new u.Z(i.Z.COORDS_BY_SCREEN,[NaN,NaN],this.board);if(r=this.label.evalVisProp("position"),!s.Z.isString(r))return new u.Z(i.Z.COORDS_BY_SCREEN,[NaN,NaN],this.board);if(r.indexOf("right")<0&&r.indexOf("left")<0)switch(r){case"last":t=m[1],e=m[2];break;case"first":t=_[1],e=_[2];break;case"lft":case"llft":case"ulft":_[1]<m[1]+o.Z.eps?(t=_[1],e=_[2]):(t=m[1],e=m[2]);break;case"rt":case"lrt":case"urt":_[1]>m[1]+o.Z.eps?(t=_[1],e=_[2]):(t=m[1],e=m[2]);break;default:t=.5*(_[1]+m[1]),e=.5*(_[2]+m[2])}else n=s.Z.parsePosition(r),a=s.Z.parseNumber(n.pos,1,1),l=m[1]-_[1],c=m[2]-_[2],d=o.Z.hypot(l,c),n.pos.indexOf("px")>=0||n.pos.indexOf("fr")>=0||n.pos.indexOf("%")>=0?(n.pos.indexOf("px")>=0&&(a/=d),t=_[1]+a*l,e=_[2]+a*c):(t=_[1]+a*this.board.unitX*l/d,e=_[2]+a*this.board.unitY*c/d),"left"===n.side?l*=-1:c*=-1,s.Z.exists(this.label)&&(p=.5*this.label.evalVisProp("distance")/d),t+=c*this.label.size[0]*p,e+=l*this.label.size[1]*p;return(g||b)&&(s.Z.exists(this.label)&&(f=this.label.evalVisProp("fontsize")),Math.abs(t)<o.Z.eps?t=f:this.board.canvasWidth+o.Z.eps>t&&t>this.board.canvasWidth-f-o.Z.eps&&(t=this.board.canvasWidth-f),o.Z.eps+f>e&&e>-o.Z.eps?e=f:this.board.canvasHeight+o.Z.eps>e&&e>this.board.canvasHeight-f-o.Z.eps&&(e=this.board.canvasHeight-f)),new u.Z(i.Z.COORDS_BY_SCREEN,[t,e],this.board)},cloneToBackground:function(){var t,e,i,r=s.Z.getCloneObject(this);return r.point1=this.point1,r.point2=this.point2,r.stdform=this.stdform,e=this.getSlope(),t=this.getRise(),r.getSlope=function(){return e},r.getRise=function(){return t},i=this.board.renderer.enhancedRendering,this.board.renderer.enhancedRendering=!0,this.board.renderer.drawLine(r),this.board.renderer.enhancedRendering=i,this.traces[r.id]=r.rendNode,this},addTransform:function(t){var e,i=s.Z.isArray(t)?t:[t],r=i.length;for(e=0;e<r;e++)this.point1.transformations.push(i[e]),this.point2.transformations.push(i[e]);return this},snapToGrid:function(t){var e,r,o,n,a,l,c,d;return this.evalVisProp("snaptogrid")?this.parents.length<3?(this.point1.handleSnapToGrid(!0,!0),this.point2.handleSnapToGrid(!0,!0)):s.Z.exists(t)&&(c=this.evalVisProp("snapsizex"),d=this.evalVisProp("snapsizey"),a=(e=new u.Z(i.Z.COORDS_BY_SCREEN,[t.Xprev,t.Yprev],this.board)).usrCoords[1],l=e.usrCoords[2],c<=0&&this.board.defaultAxes&&this.board.defaultAxes.x.defaultTicks&&(c=(n=this.board.defaultAxes.x.defaultTicks).ticksDelta*(n.evalVisProp("minorticks")+1)),d<=0&&this.board.defaultAxes&&this.board.defaultAxes.y.defaultTicks&&(d=(n=this.board.defaultAxes.y.defaultTicks).ticksDelta*(n.evalVisProp("minorticks")+1)),c>0&&d>0&&(r=h.Z.projectPointToLine({coords:e},this,this.board),o=p.Z.subtract([1,Math.round(a/c)*c,Math.round(l/d)*d],r.usrCoords),this.board.create("transform",o.slice(1),{type:"translate"}).applyOnce([this.point1,this.point2]))):(this.point1.handleSnapToGrid(!1,!0),this.point2.handleSnapToGrid(!1,!0)),this},snapToPoints:function(){var t=this.evalVisProp("snaptopoints");return this.parents.length<3&&(this.point1.handleSnapToPoints(t),this.point2.handleSnapToPoints(t)),this},X:function(t){var e=this.point1.coords.usrCoords,i=this.point2.coords.usrCoords,s=this.stdform[2];return 0!==e[0]?0!==i[0]?e[1]+(i[1]-e[1])*t:e[1]+1e5*s*t:0!==e[0]?i[1]-(e[1]-i[1])*t:i[1]+1e5*s*t},Y:function(t){var e=this.point1.coords.usrCoords,i=this.point2.coords.usrCoords,s=this.stdform[1];return 0!==e[0]?0!==i[0]?e[2]+(i[2]-e[2])*t:e[2]-1e5*s*t:0!==e[0]?i[2]-(e[2]-i[2])*t:i[2]-1e5*s*t},Z:function(t){var e=this.point1.coords.usrCoords,i=this.point2.coords.usrCoords;return 1===t&&e[0]*i[0]==0?0:1},Ft:function(t){var e=[this.Z(t),this.X(t),this.Y(t)];return e[1]/=e[0],e[2]/=e[0],e[0]/=e[0],e},L:function(){return this.point1.Dist(this.point2)},setFixedLength:function(t){return this.hasFixedLength?(this.fixedLength=s.Z.createFunction(t,this.board),this.hasFixedLength=!0,this.addParentsFromJCFunctions([this.fixedLength]),this.board.update(),this):this},minX:function(){return 0},maxX:function(){return 1},bounds:function(){var t=this.point1.coords.usrCoords,e=this.point2.coords.usrCoords;return[Math.min(t[1],e[1]),Math.max(t[2],e[2]),Math.max(t[1],e[1]),Math.min(t[2],e[2])]},remove:function(){this.removeAllTicks(),I.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]], 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e,s,r,l,c,u,p,f,_=a.X,b=a.Y;if(f=n.type===i.Z.OBJECT_TYPE_GLIDER?n.position:"functiongraph"===a.evalVisProp("curvetype")?n.X():h.Z.projectPointToCurve(n,a,t)[1],p=n.Coords(!0),m){for(_=(c=g[g.length-1]._transformationSource).X,b=c.Y,l=0;l<g.length;l++)g[l].updateTransformMatrix(),u=o.Z.inverse(g[l].transformMat),p=o.Z.matVecMult(u,p);n.type!==i.Z.OBJECT_TYPE_GLIDER&&(p[1]/=p[0],p[2]/=p[0],p[0]/=p[0],f=h.Z.projectCoordsToCurve(p[1],p[2],0,c,t)[1])}if(e=d.Z.D(b)(f),s=d.Z.D(_)(f),r=[-p[1]*e+p[2]*s,p[0]*e,-p[0]*s],m)for(l=g.length-1;l>=0;l--)u=o.Z.transpose(o.Z.inverse(g[l].transformMat)),r=o.Z.matVecMult(u,r);return r}],p),n.addChild(u),u.glider=n):(f=function(t,e,i){var s,r,a,h,l,c,d,u,p,f,_,m,g=Math.floor(t);if(1===e.bezierDegree)g===e.numberPoints-1&&g--;else{if(3!==e.bezierDegree)return 0;a=(t*((m="sector"===e.elType?(_=e.points.slice(3,e.numberPoints-3)).length:(_=e.points).length)-1)-(g=3*Math.floor(t*(m-1)/3)))/3,g>=m-1&&(g=m-4,a=1)}if(g<0)return 1;switch(1===e.bezierDegree?(s=e.points[g].usrCoords,r=e.points[g+1].usrCoords):(h=_[g].usrCoords,l=_[g+1].usrCoords,c=_[g+2].usrCoords,d=_[g+3].usrCoords,u=(1-a)*(1-a)*(l[1]-h[1])+2*(1-a)*a*(c[1]-l[1])+a*a*(d[1]-c[1]),p=(1-a)*(1-a)*(l[2]-h[2])+2*(1-a)*a*(c[2]-l[2])+a*a*(d[2]-c[2]),u/=f=o.Z.hypot(u,p),p/=f,r=[1,(s=n.coords.usrCoords)[1]+u,s[2]+p]),i){case 0:return s[2]*r[1]-s[1]*r[2];case 1:return r[2]-s[2];case 2:return s[1]-r[1];default:return[s[2]*r[1]-s[1]*r[2],r[2]-s[2],s[1]-r[1]]}},u=t.create("line",[function(){var e;return e=n.type===i.Z.OBJECT_TYPE_GLIDER?n.position:h.Z.projectPointToCurve(n,a,t)[1],f(e,a)}],p),n.addChild(u),u.glider=n)}else a.type===i.Z.OBJECT_TYPE_TURTLE?(u=t.create("line",[function(){var e,s;for(s=n.type===i.Z.OBJECT_TYPE_GLIDER?n.position:h.Z.projectPointToTurtle(n,a,t)[1],e=Math.floor(s),l=0;l<a.objects.length;l++)if((c=a.objects[l]).type===i.Z.OBJECT_TYPE_CURVE){if(e<c.numberPoints)break;e-=c.numberPoints}return e===c.numberPoints-1&&e--,e<0?[1,0,0]:[c.Y(e)*c.X(e+1)-c.X(e)*c.Y(e+1),c.Y(e+1)-c.Y(e),c.X(e)-c.X(e+1)]}],p),n.addChild(u),u.glider=n):a.elementClass!==i.Z.OBJECT_CLASS_CIRCLE&&a.type!==i.Z.OBJECT_TYPE_CONIC||(u=t.create("line",[function(){return o.Z.matVecMult(a.quadraticform,n.coords.usrCoords)}],p),n.addChild(u),u.glider=n);if(!s.Z.exists(u))throw new Error("JSXGraph: Couldn't create tangent with the given parents.");return u.elType="tangent",u.type=i.Z.OBJECT_TYPE_TANGENT,u.setParents(e),u},t.Z.createNormal=function(t,e,r){var n,a,l,c,u,p,f,_,m,g,b=[];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(u=s.Z.copyAttributes(r,t.options,"normal"),a.elementClass===i.Z.OBJECT_CLASS_LINE)f=s.Z.copyAttributes(r,t.options,"normal","point"),p=t.create("point",[function(){var t=o.Z.crossProduct([1,0,0],a.stdform);return[t[0],-t[2],t[1]]}],f),p.isDraggable=!0,(l=t.create("line",[n,p],u)).point=p,l.subs={point:p},l.inherits.push(p);else if(a.elementClass===i.Z.OBJECT_CLASS_CIRCLE)l=t.create("line",[a.midpoint,n],u);else if(a.elementClass===i.Z.OBJECT_CLASS_CURVE){if(m=a.getTransformationSource(),g=m[0])for(b.push(a);m[0]&&s.Z.exists(m[1]._transformationSource);)b.push(m[1]),m=m[1].getTransformationSource();"plot"!==a.evalVisProp("curvetype")||g?l=t.create("line",[function(){var e,s,r,l,c,u,p,f,_=a.X,m=a.Y;if(f=n.type===i.Z.OBJECT_TYPE_GLIDER?n.position:"functiongraph"===a.evalVisProp("curvetype")?n.X():h.Z.projectPointToCurve(n,a,t)[1],p=n.Coords(!0),g){for(_=(c=b[b.length-1]._transformationSource).X,m=c.Y,l=0;l<b.length;l++)b[l].updateTransformMatrix(),u=o.Z.inverse(b[l].transformMat),p=o.Z.matVecMult(u,p);n.type!==i.Z.OBJECT_TYPE_GLIDER&&(p[1]/=p[0],p[2]/=p[0],p[0]/=p[0],f=h.Z.projectCoordsToCurve(p[1],p[2],0,c,t)[1])}if(e=d.Z.D(m)(f),s=d.Z.D(_)(f),r=[-p[1]*s-p[2]*e,p[0]*s,p[0]*e],g)for(l=b.length-1;l>=0;l--)u=o.Z.transpose(o.Z.inverse(b[l].transformMat)),r=o.Z.matVecMult(u,r);return r}],u):(_=function(t,e,i){var s,r,a,h,l,c,d,u,p,f,_,m,g,b,v,Z,C=Math.floor(t);if(1===e.bezierDegree)C===e.numberPoints-1&&C--,h=t;else{if(3!==e.bezierDegree)return 0;h=(t*((Z="sector"===e.elType?(v=e.points.slice(3,e.numberPoints-3)).length:(v=e.points).length)-1)-(C=3*Math.floor(t*(Z-1)/3)))/3,C>=Z-1&&(C=Z-4,h=1)}if(C<0)return 1;switch(s=h-C,1===e.bezierDegree?(r=e.points[C].usrCoords,a=e.points[C+1].usrCoords,g=[r[0]+s*(a[0]-r[0]),r[1]+s*(a[1]-r[1]),r[2]+s*(a[2]-r[2])],m=o.Z.crossProduct(r,a),b=[(b=o.Z.crossProduct([1,0,0],m))[0],-b[2],b[1]],m=o.Z.crossProduct(g,b)):(l=v[C].usrCoords,c=v[C+1].usrCoords,d=v[C+2].usrCoords,u=v[C+3].usrCoords,p=(1-h)*(1-h)*(c[1]-l[1])+2*(1-h)*h*(d[1]-c[1])+h*h*(u[1]-d[1]),f=(1-h)*(1-h)*(c[2]-l[2])+2*(1-h)*h*(d[2]-c[2])+h*h*(u[2]-d[2]),p/=_=o.Z.hypot(p,f),f/=_,a=[1,(r=n.coords.usrCoords)[1]-f,r[2]+p],m=[r[2]*a[1]-r[1]*a[2],a[2]-r[2],r[1]-a[1]]),i){case 0:return m[0];case 1:return m[1];case 2:return m[2];default:return m}},l=t.create("line",[function(){var e;return e=n.type===i.Z.OBJECT_TYPE_GLIDER?n.position:h.Z.projectPointToCurve(n,a,t)[1],_(e,a)}],u),n.addChild(l),l.glider=n)}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]");l=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)}],u)}return l.elType="normal",l.setParents(e),s.Z.exists(n._is_new)?(l.addChild(n),delete n._is_new):n.addChild(l),a.addChild(l),l},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.createTangentTo=function(t,e,r){var o,n,a,h,l,c,d;if(a=t.select(e[0]),h=s.Z.providePoints(t,e[1],r,"point")[0],l=s.Z.def(e[2],0),a.type!==i.Z.OBJECT_TYPE_CIRCLE&&a.type!==i.Z.OBJECT_TYPE_CONIC||h.elementClass!==i.Z.OBJECT_CLASS_POINT)throw new Error("JSXGraph: Can't create tangentto with parent types '"+typeof e[0]+"' and '"+typeof e[1]+"' and '"+typeof e[2]+"'.\nPossible parent types: [circle|conic,point,number]");return n=s.Z.copyAttributes(r,t.options,"tangentto"),d=t.create("polar",[a,h],n.polar),c=t.create("intersection",[d,a,l],n.point),(o=t.create("tangent",[a,c],n)).point=c,o.polar=d,o.elType="tangentto",o},t.Z.registerElement("tangent",t.Z.createTangent),t.Z.registerElement("normal",t.Z.createNormal),t.Z.registerElement("tangentto",t.Z.createTangentTo),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])).evalVisProp("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 e,r,n,a,l,c,d,u,p,f,_,m,g=null;if(!this.needsUpdate)return this;if("nothing"===(r=this._update_find_drag_type()).action)return this._updateCoordsCache(r.id),this;if(g=this.objects[r.id].point,"translation"===r.action){if(f=[g.coords.usrCoords[1]-this.coords[r.id].usrCoords[1],g.coords.usrCoords[2]-this.coords[r.id].usrCoords[2]],g.elementClass!==i.Z.OBJECT_CLASS_POINT){for(f.unshift(0),e=0;e<g.transformations.length;e++)f=o.Z.matVecMult(g.transformations[e].matrix,f);f.shift()}(_=this.board.create("transform",f,{type:"translate"})).update()}else if("rotation"===r.action||"scaling"===r.action){if(a="rotation"===r.action?"rotationCenter":"scaleCenter",s.Z.exists(this[a].coords))m=this[a].coords.usrCoords.slice(1);else if("centroid"===this[a])m=this._update_centroid_center();else if(s.Z.isArray(this[a]))m=this[a];else{if(!s.Z.isFunction(this[a]))return t.Z.debug("Group.update: No valid center for this transformation, get out of here."),this;m=this[a]()}if("rotation"===r.action)p=h.Z.rad(this.coords[r.id].usrCoords.slice(1),m,this.objects[r.id].point),(f=this.board.create("transform",[p,m[0],m[1]],{type:"rotate"})).update();else{if("scaling"!==r.action)return this;if(c=h.Z.distance(this.coords[r.id].usrCoords.slice(1),m),Math.abs(c)<o.Z.eps)return this;c=h.Z.distance(g.coords.usrCoords.slice(1),m)/c,d=this.scaleDirections[r.id].indexOf("x")>=0?c:1,u=this.scaleDirections[r.id].indexOf("y")>=0?c:1,(f=this.board.create("transform",[1,0,0,m[0]*(1-d),d,0,m[1]*(1-u),0,u],{type:"generic"})).update()}}for(n in this.objects)(g=this.objects[n].point).elementClass!==i.Z.OBJECT_CLASS_POINT&&(s.Z.exists(f.board)?f.meltTo(g):r.id!==g.id&&_.meltTo(g));for(n in this._update_apply_transformation(r,f),this.needsUpdate=!1,this.objects)if(this.objects.hasOwnProperty(n))for(l in this.objects[n].descendants)this.objects[n].descendants.hasOwnProperty(l)&&(this.objects[n].descendants.needsUpdate=this.objects[n].descendants.needsRegularUpdate||this.board.needsFullUpdate);for(n in this.board.updateElements(r),this.objects)this.objects.hasOwnProperty(n)&&this._updateCoordsCache(n);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.elementClass===i.Z.OBJECT_CLASS_POINT&&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||n.elementClass===i.Z.OBJECT_CLASS_POINT&&e.applyOnce([n]):"rotation"!==t.action&&"scaling"!==t.action||n.coords.setCoordinates(i.Z.COORDS_BY_USER,o.Z.matVecMult(e.matrix,this.coords[n.id].usrCoords)):delete this.objects[r])},addPoint:function(t){return this.objects[t.id]={point:this.board.select(t)},this._updateCoordsCache(t.id),this.translationPoints.push(t),t.groups.push(this.id),t.groups=s.Z.uniqueArray(t.groups),this},addPoints:function(t){var e;for(e=0;e<t.length;e++)this.addPoint(t[e]);return this},addGroup:function(t){var e;for(e in t.objects)t.objects.hasOwnProperty(e)&&this.addPoint(t.objects[e].point);return this},removePoint:function(t){return delete this.objects[t.id],this},setRotationCenter:function(t){return this.rotationCenter=t,this},setRotationPoints:function(t){return this._setActionPoints("rotation",t)},addRotationPoint:function(t){return this._addActionPoint("rotation",t)},removeRotationPoint:function(t){return this._removeActionPoint("rotation",t)},setTranslationPoints:function(t){return this._setActionPoints("translation",t)},addTranslationPoint:function(t){return this._addActionPoint("translation",t)},removeTranslationPoint:function(t){return this._removeActionPoint("translation",t)},setScaleCenter:function(t){return this.scaleCenter=t,this},setScalePoints:function(t,e){var i,r,o;for(o=(i=s.Z.isArray(t)?t:arguments).length,r=0;r<o;++r)this.scaleDirections[this.board.select(i[r]).id]=e||"xy";return this._setActionPoints("scale",t)},addScalePoint:function(t,e){return this._addActionPoint("scale",t),this.scaleDirections[this.board.select(t).id]=e||"xy",this},removeScalePoint:function(t){return this._removeActionPoint("scale",t)},_setActionPoints:function(t,e){var i,r,o;for(o=(i=s.Z.isArray(e)?e:arguments).length,this[t+"Points"]=[],r=0;r<o;++r)this._addActionPoint(t,i[r]);return this},_addActionPoint:function(t,e){return this[t+"Points"].push(this.board.select(e)),this},_removeActionPoint:function(t,e){var i=this[t+"Points"].indexOf(this.board.select(e));return i>-1&&this[t+"Points"].splice(i,1),this},setProperty:function(){t.Z.deprecated("Group.setProperty","Group.setAttribute()"),this.setAttribute.apply(this,arguments)},setAttribute:function(){var t;for(t in this.objects)this.objects.hasOwnProperty(t)&&this.objects[t].point.setAttribute.apply(this.objects[t].point,arguments);return this}}),t.Z.createGroup=function(e,i,r){var o=s.Z.copyAttributes(r,e.options,"group"),n=new t.Z.Group(e,o.id,o.name,i,o);return n.elType="group",n.setParents(i),n},t.Z.registerElement("group",t.Z.createGroup);t.Z.Group;t.Z.Circle=function(t,e,r,o,n){this.constructor(t,n,i.Z.OBJECT_TYPE_CIRCLE,i.Z.OBJECT_CLASS_CIRCLE),this.method=e,this.midpoint=this.board.select(r),this.center=this.board.select(r),this.point2=null,this.radius=0,this.line=null,this.circle=null,this.points=[],"twoPoints"===e?(this.point2=t.select(o),this.radius=this.Radius()):"pointRadius"===e?(this.gxtterm=o,this.updateRadius=s.Z.createFunction(o,this.board),this.updateRadius(),this.addParentsFromJCFunctions([this.updateRadius])):"pointLine"===e?(this.line=t.select(o),this.radius=this.line.point1.coords.distance(i.Z.COORDS_BY_USER,this.line.point2.coords)):"pointCircle"===e&&(this.circle=t.select(o),this.radius=this.circle.Radius()),this.id=this.board.setId(this,"C"),this.board.renderer.drawEllipse(this),this.board.finalizeAdding(this),this.createGradient(),this.elType="circle",this.createLabel(),s.Z.exists(this.center._is_new)?(this.addChild(this.center),delete this.center._is_new):this.center.addChild(this),"pointRadius"===e?this.notifyParents(o):"pointLine"===e?this.line.addChild(this):"pointCircle"===e?this.circle.addChild(this):"twoPoints"===e&&(s.Z.exists(this.point2._is_new)?(this.addChild(this.point2),delete this.point2._is_new):this.point2.addChild(this)),this.methodMap=s.Z.deepCopy(this.methodMap,{setRadius:"setRadius",getRadius:"getRadius",Area:"Area",area:"Area",Perimeter:"Perimeter",Circumference:"Perimeter",radius:"Radius",Radius:"Radius",Diameter:"Diameter",center:"center",line:"line",point2:"point2"})},t.Z.Circle.prototype=new I.Z,t.Z.extend(t.Z.Circle.prototype,{hasPoint:function(t,e){var r,n,a,h,l,c=this.center.coords.usrCoords,d=new u.Z(i.Z.COORDS_BY_SCREEN,[t,e],this.board),p=this.Radius();return s.Z.isObject(this.evalVisProp("precision"))?(n=this.board._inputDevice,r=this.evalVisProp("precision."+n)):r=this.board.options.precision.hasPoint,a=c[1]-d.usrCoords[1],h=c[2]-d.usrCoords[2],l=o.Z.hypot(a,h),r+=.5*this.evalVisProp("strokewidth"),r/=Math.sqrt(Math.abs(this.board.unitX*this.board.unitY)),this.evalVisProp("hasinnerpoints")?l<p+r:Math.abs(l-p)<r},generatePolynomial:function(t){var e=this.center.symbolic.x,i=this.center.symbolic.y,s=t.symbolic.x,r=t.symbolic.y,o=this.generateRadiusSquared();return""===o?[]:["(("+s+")-("+e+"))^2 + (("+r+")-("+i+"))^2 - ("+o+")"]},generateRadiusSquared:function(){var t,e,i,r,o="";return"twoPoints"===this.method?(t=this.center.symbolic.x,e=this.center.symbolic.y,o="(("+(i=this.point2.symbolic.x)+")-("+t+"))^2 + (("+(r=this.point2.symbolic.y)+")-("+e+"))^2"):"pointRadius"===this.method?s.Z.isNumber(this.radius)&&(o=(this.radius*this.radius).toString()):"pointLine"===this.method?(i=this.line.point1.symbolic.x,r=this.line.point1.symbolic.y,o="(("+i+")-("+this.line.point2.symbolic.x+"))^2 + (("+r+")-("+this.line.point2.symbolic.y+"))^2"):"pointCircle"===this.method&&(o=this.circle.Radius()),o},update:function(){var t,e,s,r,o,n;if(this.needsUpdate)for(this.evalVisProp("trace")&&this.cloneToBackground(!0),"pointLine"===this.method?this.radius=this.line.point1.coords.distance(i.Z.COORDS_BY_USER,this.line.point2.coords):"pointCircle"===this.method?this.radius=this.circle.Radius():"pointRadius"===this.method&&(this.radius=this.updateRadius()),this.radius=Math.abs(this.radius),this.updateStdform(),this.updateQuadraticform(),s=this.center.coords.usrCoords[0],t=this.center.coords.usrCoords[1]/s,e=this.center.coords.usrCoords[2]/s,s/=s,r=this.Radius(),o=.551915024494,this.numberPoints=13,this.dataX=[t+r,t+r,t+r*o,t,t-r*o,t-r,t-r,t-r,t-r*o,t,t+r*o,t+r,t+r],this.dataY=[e,e+r*o,e+r,e+r,e+r,e+r*o,e,e-r*o,e-r,e-r,e-r,e-r*o,e],this.bezierDegree=3,n=0;n<this.numberPoints;n++)this.points[n]=new u.Z(i.Z.COORDS_BY_USER,[this.dataX[n],this.dataY[n]],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)&&w.Z.findDependencies(this,t,this.board)},setRadius:function(t){return this.updateRadius=s.Z.createFunction(t,this.board),this.addParentsFromJCFunctions([this.updateRadius]),this.board.update(),this},Radius:function(t){return s.Z.exists(t)?(this.setRadius(t),this.Radius()):"twoPoints"===this.method?s.Z.cmpArrays(this.point2.coords.usrCoords,[0,0,0])||s.Z.cmpArrays(this.center.coords.usrCoords,[0,0,0])?NaN:this.center.Dist(this.point2):"pointLine"===this.method||"pointCircle"===this.method?this.radius:"pointRadius"===this.method?this.evalVisProp("nonnegativeonly")?Math.max(0,this.updateRadius()):Math.abs(this.updateRadius()):NaN},Diameter:function(){return 2*this.Radius()},getRadius:function(){return t.Z.deprecated("Circle.getRadius()","Circle.Radius()"),this.Radius()},getTextAnchor:function(){return this.center.coords},getLabelAnchor:function(){var t,e,r,o,n,a,h=1.5,l=this.Radius(),c=this.center.coords.usrCoords,d=.7071067811865;if(!s.Z.exists(this.label))return new u.Z(i.Z.COORDS_BY_SCREEN,[NaN,NaN],this.board);if(r=this.label.evalVisProp("position"),!s.Z.isString(r))return new u.Z(i.Z.COORDS_BY_SCREEN,[NaN,NaN],this.board);if(!(r.indexOf("right")<0&&r.indexOf("left")<0))return c=this.center.coords.scrCoords,o=s.Z.parsePosition(r),n=s.Z.parseNumber(o.pos,2*Math.PI,1),o.pos.indexOf("fr")<0&&o.pos.indexOf("%")<0&&(o.pos.indexOf("px")>=0?n=0:n*=Math.PI/180),a=1,"left"===o.side&&(a=-1),s.Z.exists(this.label)&&(h=.5*a*this.label.evalVisProp("distance")),t=c[1]+(l*this.board.unitX+this.label.size[0]*h)*Math.cos(n),e=c[2]-(l*this.board.unitY+this.label.size[1]*h)*Math.sin(n),new u.Z(i.Z.COORDS_BY_SCREEN,[t,e],this.board);switch(this.evalVisProp("label.position")){case"lft":t=c[1]-l,e=c[2];break;case"llft":t=c[1]-d*l,e=c[2]-d*l;break;case"rt":t=c[1]+l,e=c[2];break;case"lrt":t=c[1]+d*l,e=c[2]-d*l;break;case"urt":t=c[1]+d*l,e=c[2]+d*l;break;case"top":t=c[1],e=c[2]+l;break;case"bot":t=c[1],e=c[2]-l;break;default:t=c[1]-d*l,e=c[2]+d*l}return new u.Z(i.Z.COORDS_BY_USER,[t,e],this.board)},cloneToBackground:function(){var t,e=this.Radius(),i=s.Z.getCloneObject(this);return i.center={coords:this.center.coords},i.Radius=function(){return e},i.getRadius=function(){return e},t=this.board.renderer.enhancedRendering,this.board.renderer.enhancedRendering=!0,this.board.renderer.drawEllipse(i),this.board.renderer.enhancedRendering=t,this.traces[i.id]=i.rendNode,this},addTransform:function(t){var e,i=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=this.evalVisProp("snaptogrid");return this.center.handleSnapToGrid(t,!0),"twoPoints"===this.method&&this.point2.handleSnapToGrid(t,!0),this},snapToPoints:function(){var t=this.evalVisProp("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(r.length<3?a.push(s.Z.providePoints(e,[r[h]],o,"circle",[d[h]])[0]):a.push(s.Z.providePoints(e,[r[h]],o,"point")[0]),!1===a[a.length-1])throw new Error("JSXGraph: Can't create circle from this type. Please provide a point type.")}else a.push(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 V=t.Z.Circle;t.Z.createEllipse=function(t,e,r){var o,n,a,h,l,c,d,p=[],f=s.Z.copyAttributes(r,t.options,"conic","foci"),_=s.Z.copyAttributes(r,t.options,"conic","center"),m=s.Z.copyAttributes(r,t.options,"conic");for(c=0;c<2;c++)if(e[c].length>1)p[c]=t.create("point",e[c],f);else if(s.Z.isPoint(e[c]))p[c]=t.select(e[c]);else if(s.Z.isFunction(e[c])&&s.Z.isPoint(e[c]()))p[c]=e[c]();else{if(!s.Z.isString(e[c]))throw new Error("JSXGraph: Can't create Ellipse with parent types '"+typeof e[0]+"' and '"+typeof e[1]+"'.\nPossible parent types: [point,point,point], [point,point,number|function]");p[c]=t.select(e[c])}if(s.Z.isNumber(e[2]))l=s.Z.createFunction(e[2],t);else if(s.Z.isFunction(e[2])&&s.Z.isNumber(e[2]()))l=e[2];else{if(s.Z.isPoint(e[2]))h=t.select(e[2]);else if(e[2].length>1)h=t.create("point",e[2],f);else if(s.Z.isFunction(e[2])&&s.Z.isPoint(e[2]()))h=e[2]();else{if(!s.Z.isString(e[2]))throw new Error("JSXGraph: Can't create Ellipse with parent types '"+typeof e[0]+"' and '"+typeof e[1]+"' and '"+typeof e[2]+"'.\nPossible parent types: [point,point,point], [point,point,number|function]");h=t.select(e[2])}l=function(){return h.Dist(p[0])+h.Dist(p[1])}}for(s.Z.exists(e[4])||(e[4]=2*Math.PI),s.Z.exists(e[3])||(e[3]=0),a=t.create("point",[function(){return.5*(p[0].X()+p[1].X())},function(){return.5*(p[0].Y()+p[1].Y())}],_),(n=t.create("curve",[function(t){return 0},function(t){return 0},e[3],e[4]],m)).majorAxis=l,d=n.hasPoint,o=function(t,e){var i,s,r,o,a,h,c,d,u;e||(s=(i=l())*i,r=p[0].X(),o=p[0].Y(),c=r-(a=p[1].X()),d=o-(h=p[1].Y()),u=(s-r*r-o*o+a*a+h*h)/(2*i),n.quadraticform=[[u*u-a*a-h*h,u*c/i+a,u*d/i+h],[u*c/i+a,c*c/s-1,c*d/s],[u*d/i+h,c*d/s,d*d/s-1]])},n.X=function(t,e){var i=l(),s=p[1].Dist(p[0]),r=.5*(s*s-i*i)/(s*Math.cos(t)-i),n=Math.atan2(p[1].Y()-p[0].Y(),p[1].X()-p[0].X());return e||o(0,e),p[0].X()+Math.cos(n+t)*r},n.Y=function(t,e){var i=l(),s=p[1].Dist(p[0]),r=.5*(s*s-i*i)/(s*Math.cos(t)-i),o=Math.atan2(p[1].Y()-p[0].Y(),p[1].X()-p[0].X());return p[0].Y()+Math.sin(o+t)*r},n.midpoint=n.center=a,n.type=i.Z.OBJECT_TYPE_CONIC,n.subs={center:n.center},n.inherits.push(n.center,p[0],p[1]),s.Z.isPoint(h)&&n.inherits.push(h),n.hasPoint=function(t,e){var s,r,o,n;return this.evalVisProp("hasinnerpoints")?(s=p[0].coords,r=p[1].coords,o=this.majorAxis(),(n=new u.Z(i.Z.COORDS_BY_SCREEN,[t,e],this.board)).distance(i.Z.COORDS_BY_USER,s)+n.distance(i.Z.COORDS_BY_USER,r)<=o):d.apply(this,arguments)},a.addChild(n),c=0;c<2;c++)s.Z.isPoint(p[c])&&p[c].addChild(n);return s.Z.isPoint(h)&&h.addChild(n),n.setParents(e),n},t.Z.createHyperbola=function(t,e,r){var o,n,a,h,l,c,d=[],u=s.Z.copyAttributes(r,t.options,"conic","foci"),p=s.Z.copyAttributes(r,t.options,"conic","center"),f=s.Z.copyAttributes(r,t.options,"conic");for(c=0;c<2;c++)if(e[c].length>1)d[c]=t.create("point",e[c],u);else if(s.Z.isPoint(e[c]))d[c]=t.select(e[c]);else if(s.Z.isFunction(e[c])&&s.Z.isPoint(e[c]()))d[c]=e[c]();else{if(!s.Z.isString(e[c]))throw new Error("JSXGraph: Can't create Hyperbola with parent types '"+typeof e[0]+"' and '"+typeof e[1]+"'.\nPossible parent types: [point,point,point], [point,point,number|function]");d[c]=t.select(e[c])}if(s.Z.isNumber(e[2]))l=s.Z.createFunction(e[2],t);else if(s.Z.isFunction(e[2])&&s.Z.isNumber(e[2]()))l=e[2];else{if(s.Z.isPoint(e[2]))h=t.select(e[2]);else if(e[2].length>1)h=t.create("point",e[2],u);else if(s.Z.isFunction(e[2])&&s.Z.isPoint(e[2]()))h=e[2]();else{if(!s.Z.isString(e[2]))throw new Error("JSXGraph: Can't create Hyperbola with parent types '"+typeof e[0]+"' and '"+typeof e[1]+"' and '"+typeof e[2]+"'.\nPossible parent types: [point,point,point], [point,point,number|function]");h=t.select(e[2])}l=function(){return h.Dist(d[0])-h.Dist(d[1])}}for(s.Z.exists(e[4])||(e[4]=1.0001*Math.PI),s.Z.exists(e[3])||(e[3]=-1.0001*Math.PI),a=t.create("point",[function(){return.5*(d[0].X()+d[1].X())},function(){return.5*(d[0].Y()+d[1].Y())}],p),(n=t.create("curve",[function(t){return 0},function(t){return 0},e[3],e[4]],f)).majorAxis=l,o=function(t,e){var i,s,r,o,a,h,c,u,p;e||(s=(i=l())*i,r=d[0].X(),o=d[0].Y(),c=r-(a=d[1].X()),u=o-(h=d[1].Y()),p=(s-r*r-o*o+a*a+h*h)/(2*i),n.quadraticform=[[p*p-a*a-h*h,p*c/i+a,p*u/i+h],[p*c/i+a,c*c/s-1,c*u/s],[p*u/i+h,c*u/s,u*u/s-1]])},n.X=function(t,e){var i=l(),s=d[1].Dist(d[0]),r=.5*(s*s-i*i)/(s*Math.cos(t)+i),n=Math.atan2(d[1].Y()-d[0].Y(),d[1].X()-d[0].X());return e||o(0,e),d[0].X()+Math.cos(n+t)*r},n.Y=function(t,e){var i=l(),s=d[1].Dist(d[0]),r=.5*(s*s-i*i)/(s*Math.cos(t)+i),o=Math.atan2(d[1].Y()-d[0].Y(),d[1].X()-d[0].X());return d[0].Y()+Math.sin(o+t)*r},n.midpoint=n.center=a,n.subs={center:n.center},n.inherits.push(n.center,d[0],d[1]),s.Z.isPoint(h)&&n.inherits.push(h),n.type=i.Z.OBJECT_TYPE_CONIC,a.addChild(n),c=0;c<2;c++)s.Z.isPoint(d[c])&&d[c].addChild(n);return s.Z.isPoint(h)&&h.addChild(n),n.setParents(e),n},t.Z.createParabola=function(t,e,r){var o,n,a,l,c=e[0],d=e[1],u=s.Z.copyAttributes(r,t.options,"conic","foci"),p=s.Z.copyAttributes(r,t.options,"conic","center"),f=s.Z.copyAttributes(r,t.options,"conic");if(e[0].length>1)c=t.create("point",e[0],u);else if(s.Z.isPoint(e[0]))c=t.select(e[0]);else if(s.Z.isFunction(e[0])&&s.Z.isPoint(e[0]()))c=e[0]();else{if(!s.Z.isString(e[0]))throw new Error("JSXGraph: Can't create Parabola with parent types '"+typeof e[0]+"' and '"+typeof e[1]+"'.\nPossible parent types: [point,line]");c=t.select(e[0])}return s.Z.isArray(d)&&2===d.length&&(l=s.Z.copyAttributes(r,t.options,"conic","line"),d=t.create("line",d,l)),s.Z.exists(e[3])||(e[3]=2*Math.PI),s.Z.exists(e[2])||(e[2]=0),a=t.create("point",[function(){return h.Z.projectPointToLine(c,d,t).usrCoords}],p),(n=t.create("curve",[function(t){return 0},function(t){return 0},e[2],e[3]],f)).midpoint=n.center=a,n.subs={center:n.center},n.inherits.push(n.center),o=function(t,e){var i,s,r,o,a,h;e||(i=d.stdform[1],s=d.stdform[2],r=d.stdform[0],o=i*i+s*s,a=c.X(),h=c.Y(),n.quadraticform=[[r*r-o*(a*a+h*h),r*i+o*a,r*s+o*h],[r*i+o*a,-s*s,i*s],[r*s+o*h,i*s,-i*i]])},n.X=function(t,e){var i,s=d.getAngle(),r=h.Z.distPointLine(c.coords.usrCoords,d.stdform),n=d.point1.coords.usrCoords,a=d.point2.coords.usrCoords,l=c.coords.usrCoords;return 0===n[0]?n=[1,a[1]+d.stdform[2],a[2]-d.stdform[1]]:0===a[0]&&(a=[1,n[1]+d.stdform[2],n[2]-d.stdform[1]]),i=((a[1]-n[1])*(l[2]-n[2])-(a[2]-n[2])*(l[1]-n[1])>=0?1:-1)*r/(1-Math.sin(t)),e||o(0,e),c.X()+Math.cos(t+s)*i},n.Y=function(t,e){var i,s=d.getAngle(),r=h.Z.distPointLine(c.coords.usrCoords,d.stdform),o=d.point1.coords.usrCoords,n=d.point2.coords.usrCoords,a=c.coords.usrCoords;return 0===o[0]?o=[1,n[1]+d.stdform[2],n[2]-d.stdform[1]]:0===n[0]&&(n=[1,o[1]+d.stdform[2],o[2]-d.stdform[1]]),i=((n[1]-o[1])*(a[2]-o[2])-(n[2]-o[2])*(a[1]-o[1])>=0?1:-1)*r/(1-Math.sin(t)),c.Y()+Math.sin(t+s)*i},n.type=i.Z.OBJECT_TYPE_CONIC,a.addChild(n),s.Z.isPoint(c)&&(c.addChild(n),n.inherits.push(c)),d.addChild(n),n.setParents(e),n},t.Z.createConic=function(t,e,r){var n,a,h,l,c,u,p,f,_,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=[],x=s.Z.copyAttributes(r,t.options,"conic","point"),O=s.Z.copyAttributes(r,t.options,"conic","center"),w=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],x);else if(s.Z.isPoint(e[b]))P[b]=t.select(e[b]);else if(s.Z.isFunction(e[b])&&s.Z.isPoint(e[b]()))P[b]=e[b]();else{if(!s.Z.isString(e[b]))throw new Error("JSXGraph: Can't create Conic section with parent types '"+typeof e[b]+"'.\nPossible parent types: [point,point,point,point,point], [a00,a11,a22,a01,a02,a12]");P[b]=t.select(e[b])}else(v=[[0,0,0],[0,0,0],[0,0,0]])[0][0]=s.Z.isFunction(e[2])?function(){return e[2]()}:function(){return e[2]},v[0][1]=s.Z.isFunction(e[4])?function(){return e[4]()}:function(){return e[4]},v[0][2]=s.Z.isFunction(e[5])?function(){return e[5]()}:function(){return e[5]},v[1][1]=s.Z.isFunction(e[0])?function(){return e[0]()}:function(){return e[0]},v[1][2]=s.Z.isFunction(e[3])?function(){return e[3]()}:function(){return e[3]},v[2][2]=s.Z.isFunction(e[1])?function(){return e[1]()}:function(){return e[1]};if(c=function(t){var e,i;for(e=0;e<3;e++)for(i=e;i<3;i++)t[e][i]+=t[i][e];for(e=0;e<3;e++)for(i=0;i<e;i++)t[e][i]=t[i][e];return t},l=function(t,e){var i,s,r=[[0,0,0],[0,0,0],[0,0,0]];for(i=0;i<3;i++)for(s=0;s<3;s++)r[i][s]=t[i]*e[s];return c(r)},h=function(t,e,i){var s,r,n,a,h,l=[[0,0,0],[0,0,0],[0,0,0]];for(h=o.Z.matVecMult(e,i),n=o.Z.innerProduct(i,h),h=o.Z.matVecMult(t,i),a=o.Z.innerProduct(i,h),s=0;s<3;s++)for(r=0;r<3;r++)l[s][r]=n*t[s][r]-a*e[s][r];return l},a=t.create("curve",[function(t){return 0},function(t){return 0},0,2*Math.PI],w),n=function(t,e){var i,r,n;if(!e){if(Z){for(i=0;i<5;i++)E[i]=P[i].coords.usrCoords;m=l(o.Z.crossProduct(E[0],E[1]),o.Z.crossProduct(E[2],E[3])),g=l(o.Z.crossProduct(E[0],E[2]),o.Z.crossProduct(E[1],E[3])),y=h(m,g,E[4])}else for(i=0;i<3;i++)for(r=i;r<3;r++)y[i][r]=v[i][r](),r>i&&(y[r][i]=y[i][r]);a.quadraticform=y,(u=d.Z.Jacobi(y))[0][0][0]<0&&(u[0][0][0]*=-1,u[0][1][1]*=-1,u[0][2][2]*=-1),C=u[1],_=Math.sqrt(Math.abs(u[0][0][0])),p=Math.sqrt(Math.abs(u[0][1][1])),f=Math.sqrt(Math.abs(u[0][2][2]))}return u[0][1][1]<=0&&u[0][2][2]<=0?n=o.Z.matVecMult(C,[1/_,Math.cos(t)/p,Math.sin(t)/f]):u[0][1][1]<=0&&u[0][2][2]>0?n=o.Z.matVecMult(C,[Math.cos(t)/_,1/p,Math.sin(t)/f]):u[0][2][2]<0&&(n=o.Z.matVecMult(C,[Math.sin(t)/_,Math.cos(t)/p,1/f])),s.Z.exists(n)?(n[1]/=n[0],n[2]/=n[0],n[0]=1):n=[1,NaN,NaN],n},a.X=function(t,e){return n(t,e)[1]},a.Y=function(t,e){return n(t,e)[2]},a.midpoint=t.create("point",[function(){var t=a.quadraticform;return[t[1][1]*t[2][2]-t[1][2]*t[1][2],t[1][2]*t[0][2]-t[2][2]*t[0][1],t[0][1]*t[1][2]-t[1][1]*t[0][2]]}],O),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",boundingBox:"bounds",BoundingBox:"bounds",addPoints:"addPoints",insertPoints:"insertPoints",removePoints:"removePoints",Intersect:"intersect"})},t.Z.Polygon.prototype=new I.Z,t.Z.extend(t.Z.Polygon.prototype,{pnpoly:function(t,e,i){return h.Z.pnpoly(t,e,this.vertices,i,this.board)},hasPoint:function(t,e){var i,s;if(this.evalVisProp("hasinnerpoints")&&this.pnpoly(t,e))return!0;for(s=this.borders.length,i=0;i<s;i++)if(this.borders[i].hasPoint(t,e))return!0;return!1},updateRenderer:function(){var t,e;if(!this.needsUpdate)return this;if(this.visPropCalc.visible){for(e=this.vertices.length-("polygonalchain"===this.elType?0:1),this.isReal=!0,t=0;t<e;++t)if(!this.vertices[t].isReal){this.isReal=!1;break}if(!this.isReal)for(t in this.updateVisibility(!1),this.childElements)this.childElements.hasOwnProperty(t)&&this.childElements[t].setDisplayRendNode(!1)}return this.visPropCalc.visible&&this.board.renderer.updatePolygon(this),this.hasLabel&&this.visPropCalc.visible&&this.label&&this.label.visPropCalc.visible&&this.isReal&&(this.label.update(),this.board.renderer.updateText(this.label)),this.setDisplayRendNode(),this.needsUpdate=!1,this},getTextAnchor:function(){var t,e,s,r,o;if(0===this.vertices.length)return new u.Z(i.Z.COORDS_BY_USER,[1,0,0],this.board);for(s=t=this.vertices[0].X(),r=e=this.vertices[0].Y(),o=0;o<this.vertices.length;o++)this.vertices[o].X()<t&&(t=this.vertices[o].X()),this.vertices[o].X()>s&&(s=this.vertices[o].X()),this.vertices[o].Y()>e&&(e=this.vertices[o].Y()),this.vertices[o].Y()<r&&(r=this.vertices[o].Y());return new u.Z(i.Z.COORDS_BY_USER,[.5*(t+s),.5*(e+r)],this.board)},getLabelAnchor:t.Z.shortcut(t.Z.Polygon.prototype,"getTextAnchor"),cloneToBackground:function(){var t,e=s.Z.getCloneObject(this);return e.vertices=this.vertices,t=this.board.renderer.enhancedRendering,this.board.renderer.enhancedRendering=!0,this.board.renderer.drawPolygon(e),this.board.renderer.enhancedRendering=t,this.traces[e.id]=e.rendNode,this},hideElement:function(e){var i;if(t.Z.deprecated("Element.hideElement()","Element.setDisplayRendNode()"),this.visPropCalc.visible=!1,this.board.renderer.display(this,!1),!e)for(i=0;i<this.borders.length;i++)this.borders[i].hideElement();this.hasLabel&&s.Z.exists(this.label)&&(this.label.hiddenByParent=!0,this.label.visPropCalc.visible&&this.label.hideElement())},showElement:function(e){var i;if(t.Z.deprecated("Element.showElement()","Element.setDisplayRendNode()"),this.visPropCalc.visible=!0,this.board.renderer.display(this,!0),!e)for(i=0;i<this.borders.length;i++)this.borders[i].showElement().updateRenderer();return s.Z.exists(this.label)&&this.hasLabel&&this.label.hiddenByParent&&(this.label.hiddenByParent=!1,this.label.visPropCalc.visible||this.label.showElement().updateRenderer()),this},Area:function(){return Math.abs(h.Z.signedPolygon(this.vertices,!0))},Perimeter:function(){var t,e=this.vertices.length,i=0;for(t=1;t<e;++t)i+=this.vertices[t].Dist(this.vertices[t-1]);return i},L:function(){return this.Perimeter()},boundingBox:function(){var t,e,i=[0,0,0,0],s=this.vertices.length-1;if(0===s)return i;for(i[0]=this.vertices[0].X(),i[2]=i[0],i[1]=this.vertices[0].Y(),i[3]=i[1],t=1;t<s;++t)(e=this.vertices[t].X())<i[0]?i[0]=e:e>i[2]&&(i[2]=e),(e=this.vertices[t].Y())>i[1]?i[1]=e:e<i[3]&&(i[3]=e);return i},bounds:function(){return this.boundingBox()},remove:function(){var t;for(t=0;t<this.borders.length;t++)this.board.removeObject(this.borders[t]);I.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=I.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=!!this.evalVisProp("snaptogrid"),t=0;t<this.vertices.length;t++)this.vertices[t].handleSnapToGrid(e,!0)},setPositionDirectly:function(t,e,i){var s,r,o,n=new u.Z(t,e,this.board),a=new u.Z(t,i,this.board);for(o=this.vertices.length-1,r=0;r<o;r++)if(!this.vertices[r].draggable())return this;return s=p.Z.subtract(n.usrCoords,a.usrCoords),this.board.create("transform",s.slice(1),{type:"translate"}).applyOnce(this.vertices.slice(0,-1)),this},sutherlandHodgman:function(e){var i,s,r,o,n,a,h,l=t.Z.Math.Geometry.sortVertices(this.vertices),c=t.Z.Math.Geometry.sortVertices(e.vertices),d=l.length-1,u=c.length-1,p=[],f=function(t,e,i){return(e[1]-t[1])*(i[2]-t[2])-(e[2]-t[2])*(i[1]-t[1])>=0};for(r=0;r<u;r++)p.push(c[r]);for(r=0;r<d;r++)for(s=p.slice(0),p=[],n=s[(i=s.length)-1],o=0;o<i;o++)a=s[o],f(l[r],l[r+1],a)?(f(l[r],l[r+1],n)||((h=t.Z.Math.Geometry.meetSegmentSegment(n,a,l[r],l[r+1]))[0][1]/=h[0][0],h[0][2]/=h[0][0],h[0][0]=1,p.push(h[0])),p.push(a)):f(l[r],l[r+1],n)&&((h=t.Z.Math.Geometry.meetSegmentSegment(n,a,l[r],l[r+1]))[0][1]/=h[0][0],h[0][2]/=h[0][0],h[0][0]=1,p.push(h[0])),n=a;return p},intersect:function(t){return this.sutherlandHodgman(t)}}),t.Z.createPolygon=function(e,r,o){var n,a,h,l,c,d,u=[],p=!1;if(s.Z.copyAttributes(o,e.options,"polygon"),null===(l=e.select(r[0]))&&(l=r[0]),s.Z.isObject(l)&&l.type===i.Z.OBJECT_TYPE_POLYGON&&s.Z.isTransformationOrArray(r[1]))for(p=!0,h=l.vertices.length-1,d=s.Z.copyAttributes(o,e.options,"polygon","vertices"),a=0;a<h;a++)d.withlabel&&(d.name=""===l.vertices[a].name?"":l.vertices[a].name+"'"),u.push(e.create("point",[l.vertices[a],r[1]],d));else if(!1===(u=s.Z.providePoints(e,r,o,"polygon",["vertices"])))throw new Error("JSXGraph: Can't create polygon / polygonalchain with parent types other than 'point' and 'coordinate arrays' or a function returning an array of coordinates. Alternatively, a polygon and a transformation can be supplied");if(c=s.Z.copyAttributes(o,e.options,"polygon"),(n=new t.Z.Polygon(e,u,c)).isDraggable=!0,p)for(n.prepareUpdate().update().updateVisibility().updateRenderer(),h=l.vertices.length-1,a=0;a<h;a++)u[a].prepareUpdate().update().updateVisibility().updateRenderer();return n},t.Z.createRegularPolygon=function(t,e,r){var o,n,a,h,l,c,d,u=[];if(a=e[(l=e.length)-1],s.Z.isNumber(a)&&(3!==e.length||a<3))throw new Error("JSXGraph: A regular polygon needs two point types and a number > 2 as input.");if(s.Z.isNumber(t.select(a))?(l--,c=!1):(a=l,c=!0),!1===(u=s.Z.providePoints(t,e.slice(0,l),r,"regularpolygon",["vertices"])))throw new Error("JSXGraph: Can't create regular polygon with parent types other than 'point' and 'coordinate arrays' or a function returning an array of coordinates");for(d=s.Z.copyAttributes(r,t.options,"regularpolygon","vertices"),n=2;n<a;n++)h=t.create("transform",[Math.PI*(2-(a-2)/a),u[n-1]],{type:"rotate"}),c?(u[n].addTransform(u[n-2],h),u[n].fullUpdate()):(s.Z.isArray(d.ids)&&d.ids.length>=a-2&&(d.id=d.ids[n-2]),u[n]=t.create("point",[u[n-2],h],d),u[n].type=i.Z.OBJECT_TYPE_CAS,u[n].isDraggable=!0,u[n].visProp.fixed=!1);return d=s.Z.copyAttributes(r,t.options,"regularpolygon"),(o=t.create("polygon",u,d)).elType="regularpolygon",o},t.Z.createPolygonalChain=function(t,e,i){var r,o;return r=s.Z.copyAttributes(i,t.options,"polygonalchain"),(o=t.create("polygon",e,r)).elType="polygonalchain",o.vertices.pop(),t.removeObject(o.borders[o.borders.length-1]),o.borders.pop(),o},t.Z.createParallelogram=function(t,e,i){var r,o,n,a,h;if(!1===(n=s.Z.providePoints(t,e,i,"polygon",["vertices"]))||n.length<3)throw new Error("JSXGraph: Can't create parallelogram with parent types other than 'point' and 'coordinate arrays' or a function returning an array of coordinates.");return h=s.Z.copyAttributes(i,t.options,"parallelogram","parallelpoint"),o=t.create("parallelpoint",n,h),a=s.Z.copyAttributes(i,t.options,"parallelogram"),(r=t.create("polygon",[n[0],n[1],o,n[2]],a)).elType="parallelogram",r.parallelPoint=o,r.isDraggable=!0,o.isDraggable=!0,o.visProp.fixed=!1,r},t.Z.registerElement("polygon",t.Z.createPolygon),t.Z.registerElement("regularpolygon",t.Z.createRegularPolygon),t.Z.registerElement("polygonalchain",t.Z.createPolygonalChain),t.Z.registerElement("parallelogram",t.Z.createParallelogram);var X=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=this.evalVisProp("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",MinX:"minX",MaxX:"maxX"})},t.Z.Curve.prototype=new I.Z,t.Z.extend(t.Z.Curve.prototype,{minX:function(){return"polar"===this.evalVisProp("curvetype")?0:new u.Z(i.Z.COORDS_BY_SCREEN,[.1*-this.board.canvasWidth,0],this.board,!1).usrCoords[1]},maxX:function(){return"polar"===this.evalVisProp("curvetype")?2*Math.PI:new u.Z(i.Z.COORDS_BY_SCREEN,[1.1*this.board.canvasWidth,0],this.board,!1).usrCoords[1]},X:function(t){return NaN},Y:function(t){return NaN},Z:function(t){return 1},Ft:function(t){var e=[this.Z(t),this.X(t),this.Y(t)];return this.transformations.length>0&&(e=o.Z.matVecMult(this.transformMat,e)),e[1]/=e[0],e[2]/=e[0],e[0]/=e[0],e},hasPoint:function(t,e,r){var n,a,l,c,d,p,f,_,m,g,b,v,Z,C,y,P,E=[],x=this.evalVisProp("numberpointslow"),O=(this.maxX()-this.minX())/x,w=1/0;if(s.Z.isObject(this.evalVisProp("precision"))?(v=this.board._inputDevice,b=this.evalVisProp("precision."+v)):b=this.board.options.precision.hasPoint,t=(p=new u.Z(i.Z.COORDS_BY_SCREEN,[t,e],this.board,!1)).usrCoords[1],e=p.usrCoords[2],1===this.bezierDegree&&this.evalVisProp("hasinnerpoints")&&0!==h.Z.windingNumber([1,t,e],this.points,!0))return!0;if(b+=.5*this.evalVisProp("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],O=(this._visibleArea[1]-P)/x),"parameter"===(y=this.evalVisProp("curvetype"))||"polar"===y)for(this.transformations.length>0&&(this.updateTransformMatrix(),_=o.Z.inverse(this.transformMat),t=(a=o.Z.matVecMult(_,[1,t,e]))[1],e=a[2]),l=0,n=P;l<x;l++){if((w=(t-(c=this.X(n,true)))*(t-c)*Z+(e-(d=this.Y(n,true)))*(e-d)*C)<=b)return!0;n+=O}else if("plot"===y||"functiongraph"===y){for((!s.Z.exists(r)||r<0)&&(r=0),s.Z.exists(this.qdt)&&this.evalVisProp("useqdt")&&3!==this.bezierDegree?f=(m=(g=this.qdt.query(new u.Z(i.Z.COORDS_BY_USER,[t,e],this.board))).points).length:(m=this.points,f=this.numberPoints-1),l=r;l<f;l++)if(3===this.bezierDegree?E=h.Z.projectCoordsToBeziersegment([1,t,e],this,l):g?(m[l].prev&&(E=h.Z.projectCoordsToSegment([1,t,e],m[l].prev.usrCoords,m[l].usrCoords)),m[l].next&&m[l+1]!==m[l].next&&(E=h.Z.projectCoordsToSegment([1,t,e],m[l].usrCoords,m[l].next.usrCoords))):E=h.Z.projectCoordsToSegment([1,t,e],m[l].usrCoords,m[l+1].usrCoords),E[1]>=0&&E[1]<=1&&(t-E[0][1])*(t-E[0][1])*Z+(e-E[0][2])*(e-E[0][2])*C<=b)return!0;return!1}return w<b},allocatePoints:function(){var t,e;if(e=this.numberPoints,this.points.length<this.numberPoints)for(t=this.points.length;t<e;t++)this.points[t]=new u.Z(i.Z.COORDS_BY_USER,[0,0],this.board,!1)},update:function(){return this.needsUpdate&&(this.evalVisProp("trace")&&this.cloneToBackground(!0),this.updateCurve()),this},updateRenderer:function(){return this.needsUpdate?(this.visPropCalc.visible&&(this.isReal=f.checkReal(this.points),this.isReal||this.updateVisibility(!1)),this.visPropCalc.visible&&this.board.renderer.updateCurve(this),this.hasLabel&&this.visPropCalc.visible&&this.label&&this.label.visPropCalc.visible&&this.isReal&&(this.label.update(),this.board.renderer.updateText(this.label)),this.setDisplayRendNode(),this.needsUpdate=!1,this):this},updateDataArray:function(){},updateCurve:function(){var t,e,r,o,n,a,h=this.visProp.plotversion,c=!1;if(this.updateTransformMatrix(),this.updateDataArray(),r=this.minX(),o=this.maxX(),s.Z.exists(this.dataX))for(this.numberPoints=this.dataX.length,e=this.numberPoints,this.allocatePoints(),t=0;t<e;t++)n=t,s.Z.exists(this.dataY)?(a=t,this.points[t].setCoordinates(i.Z.COORDS_BY_USER,[this.dataX[t],this.dataY[t]],!1)):(a=this.X(n),this.points[t].setCoordinates(i.Z.COORDS_BY_USER,[this.dataX[t],this.Y(a,c)],!1)),this.points[t]._t=t,c=!0;else if(this.evalVisProp("doadvancedplot")?1===h||this.evalVisProp("doadvancedplotold")?f.updateParametricCurveOld(this,r,o):2===h?f.updateParametricCurve_v2(this,r,o):3===h?f.updateParametricCurve_v3(this,r,o):4===h?f.updateParametricCurve_v4(this,r,o):f.updateParametricCurve_v2(this,r,o):(this.board.updateQuality===this.board.BOARD_QUALITY_HIGH?this.numberPoints=this.evalVisProp("numberpointshigh"):this.numberPoints=this.evalVisProp("numberpointslow"),this.allocatePoints(),f.updateParametricCurveNaive(this,r,o,this.numberPoints)),e=this.numberPoints,this.evalVisProp("useqdt")&&this.board.updateQuality===this.board.BOARD_QUALITY_HIGH)for(this.qdt=new l(this.board.getBoundingBox()),t=0;t<this.points.length;t++)this.qdt.insert(this.points[t]),t>0&&(this.points[t].prev=this.points[t-1]),t<e-1&&(this.points[t].next=this.points[t+1]);for("plot"!==this.evalVisProp("curvetype")&&this.evalVisProp("rdpsmoothing")&&(this.points=d.Z.RamerDouglasPeucker(this.points,.2),this.numberPoints=this.points.length),e=this.numberPoints,t=0;t<e;t++)this.updateTransform(this.points[t]);return this},updateTransformMatrix:function(){var t,e,i=this.transformations.length;for(this.transformMat=[[1,0,0],[0,1,0],[0,0,1]],e=0;e<i;e++)(t=this.transformations[e]).update(),this.transformMat=o.Z.matMatMult(t.matrix,this.transformMat);return this},updateTransform:function(t){var e;return this.transformations.length>0&&(e=o.Z.matVecMult(this.transformMat,t.usrCoords),t.setCoordinates(i.Z.COORDS_BY_USER,e,!1,!0)),t},addTransform:function(t){var e,i=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,n){var a,h,l;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"])):s.Z.exists(i)?this.Y=s.Z.createFunction(i,this.board,t):(l=o.Z.transpose(e),this.dataX=l[0],this.dataY=l[1],this.numberPoints=this.dataX.length,this.Y=this.interpolationFunctionFromArray.apply(this,["Y"])),s.Z.isFunction(e)&&s.Z.isArray(i)&&(a=s.Z.createFunction(i[0],this.board,""),h=s.Z.createFunction(i[1],this.board,""),this.X=function(t){return e(t)*Math.cos(t)+a()},this.X.deps=a.deps,this.Y=function(t){return e(t)*Math.sin(t)+h()},this.Y.deps=h.deps,this.visProp.curvetype="polar"),s.Z.exists(r)?this.minX=s.Z.createFunction(r,this.board,""):delete this.minX,s.Z.exists(n)?this.maxX=s.Z.createFunction(n,this.board,""):delete this.maxX,this.addParentsFromJCFunctions([this.X,this.Y,this.minX,this.maxX])},notifyParents:function(t){var e,i,s,r=!1;for(e in s={xterm:1,yterm:1})if(s.hasOwnProperty(e)&&this.hasOwnProperty(e)&&this[e].origin)for(i in r=!0,this[e].origin.deps)this[e].origin.deps.hasOwnProperty(i)&&this[e].origin.deps[i].addChild(this);r||w.Z.findDependencies(this,t,this.board)},getLabelPosition:function(t,e){var r,n,a,h,l,c,p,f,_,m,g,b,v,Z=1.5;return f=this.minX(),_=this.maxX(),m=d.Z.findDomain(this.X,[f,_],null,!1),m=d.Z.findDomain(this.Y,m,null,!1),f=Math.max(m[0],m[0]),_=Math.min(m[1],m[1]),a=s.Z.parsePosition(t),p=s.Z.parseNumber(a.pos,_-f,1),a.pos.indexOf("fr")<0&&a.pos.indexOf("%")<0&&(p=0),g=f+p,r=this.X(g),n=this.Y(g),isNaN(r+n)&&(g=f+(p/=_-f),r=this.X(f)+p*(this.X(_)-this.X(f)),n=this.Y(f)+p*(this.Y(_)-this.Y(f))),h=new u.Z(i.Z.COORDS_BY_USER,[r,n],this.board).scrCoords,g<f+(c=o.Z.eps)?(b=(this.X(g+c)-this.X(g))/c,v=(this.Y(g+c)-this.Y(g))/c):g>_-c?(b=(this.X(g)-this.X(g-c))/c,v=(this.Y(g)-this.Y(g-c))/c):(b=.5*(this.X(g+c)-this.X(g-c))/c,v=.5*(this.Y(g+c)-this.Y(g-c))/c),b=isNaN(b)?1:b,v=isNaN(v)?1:v,l=o.Z.hypot(b,v),"left"===a.side?v*=-1:b*=-1,s.Z.exists(this.label)&&(Z=.5*e/l),r=h[1]+v*this.label.size[0]*Z,n=h[2]-b*this.label.size[1]*Z,new u.Z(i.Z.COORDS_BY_SCREEN,[r,n],this.board)},getLabelAnchor:function(){var t,e,r,o,n=.05*this.board.canvasWidth,a=.05*this.board.canvasHeight,l=.95*this.board.canvasWidth,c=.95*this.board.canvasHeight;if(!s.Z.exists(this.label))return new u.Z(i.Z.COORDS_BY_SCREEN,[NaN,NaN],this.board);if(r=this.label.evalVisProp("position"),!s.Z.isString(r))return new u.Z(i.Z.COORDS_BY_SCREEN,[NaN,NaN],this.board);if(!(r.indexOf("right")<0&&r.indexOf("left")<0))return this.getLabelPosition(r,this.label.evalVisProp("distance"));switch(this.evalVisProp("label.position")){case"ulft":t=n,e=a;break;case"llft":t=n,e=c;break;case"rt":t=l,e=.5*c;break;case"lrt":t=l,e=c;break;case"urt":t=l,e=a;break;case"top":t=.5*l,e=a;break;case"bot":t=.5*l,e=c;break;default:t=n,e=.5*c}return o=new u.Z(i.Z.COORDS_BY_SCREEN,[t,e],this.board,!1),h.Z.projectCoordsToCurve(o.usrCoords[1],o.usrCoords[2],0,this,this.board)[0]},cloneToBackground:function(){var t,e=s.Z.getCloneObject(this);return e.points=this.points.slice(0),e.bezierDegree=this.bezierDegree,e.numberPoints=this.numberPoints,t=this.board.renderer.enhancedRendering,this.board.renderer.enhancedRendering=!0,this.board.renderer.drawCurve(e),this.board.renderer.enhancedRendering=t,this.traces[e.id]=e.rendNode,this},bounds:function(){var t,e,i,r=1/0,o=-1/0,n=1/0,a=-1/0,h=this.points.length;if(3===this.bezierDegree){for(t=0;t<h;t++)this.points[t].X=s.Z.bind((function(){return this.usrCoords[1]}),this.points[t]),this.points[t].Y=s.Z.bind((function(){return this.usrCoords[2]}),this.points[t]);return i=(e=d.Z.bezier(this.points))[3](),r=d.Z.fminbr((function(t){return e[0](t)}),[0,i]),o=d.Z.fminbr((function(t){return-e[0](t)}),[0,i]),n=d.Z.fminbr((function(t){return e[1](t)}),[0,i]),a=d.Z.fminbr((function(t){return-e[1](t)}),[0,i]),r=e[0](r),o=e[0](o),n=e[1](n),[r,a=e[1](a),o,n]}for(t=0;t<h;t++)r>this.points[t].usrCoords[1]&&(r=this.points[t].usrCoords[1]),o<this.points[t].usrCoords[1]&&(o=this.points[t].usrCoords[1]),n>this.points[t].usrCoords[2]&&(n=this.points[t].usrCoords[2]),a<this.points[t].usrCoords[2]&&(a=this.points[t].usrCoords[2]);return[r,a,o,n]},getParents:function(){var t=[this.xterm,this.yterm,this.minX(),this.maxX()];return 0!==this.parents.length&&(t=this.parents),t},moveTo:function(t){var e,s=[];return this.points.length>0&&!this.evalVisProp("fixed")?(e=this.points[0],s=3===t.length?[t[0]-e.usrCoords[0],t[1]-e.usrCoords[1],t[2]-e.usrCoords[2]]:[t[0]-e.usrCoords[1],t[1]-e.usrCoords[2]],this.setPosition(i.Z.COORDS_BY_USER,s),this.board.update(this)):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]}}),t.Z.createCurve=function(e,r,o){var n,a,h=s.Z.copyAttributes(o,e.options,"curve");return n=e.select(r[0],!0),s.Z.isTransformationOrArray(r[1])&&s.Z.isObject(n)&&(n.type===i.Z.OBJECT_TYPE_CURVE||n.type===i.Z.OBJECT_TYPE_ANGLE||n.type===i.Z.OBJECT_TYPE_ARC||n.type===i.Z.OBJECT_TYPE_CONIC||n.type===i.Z.OBJECT_TYPE_SECTOR)?(n.type===i.Z.OBJECT_TYPE_SECTOR?h=s.Z.copyAttributes(o,e.options,"sector"):n.type===i.Z.OBJECT_TYPE_ARC?h=s.Z.copyAttributes(o,e.options,"arc"):n.type===i.Z.OBJECT_TYPE_ANGLE?(s.Z.exists(o.withLabel)||(o.withLabel=!1),h=s.Z.copyAttributes(o,e.options,"angle")):h=s.Z.copyAttributes(o,e.options,"curve"),h=s.Z.copyAttributes(h,e.options,"curve"),(a=new t.Z.Curve(e,["x",[],[]],h)).updateDataArray=function(){var t,e=n.numberPoints;for(this.bezierDegree=n.bezierDegree,this.dataX=[],this.dataY=[],t=0;t<e;t++)this.dataX.push(n.points[t].usrCoords[1]),this.dataY.push(n.points[t].usrCoords[2]);return this},a.addTransform(r[1]),n.addChild(a),a.setParents([n]),a._transformationSource=n,a):(h=s.Z.copyAttributes(o,e.options,"curve"),new t.Z.Curve(e,["x"].concat(r),h))},t.Z.registerElement("curve",t.Z.createCurve),t.Z.createFunctiongraph=function(e,i,r){var o,n=["x","x"].concat(i);return o=s.Z.copyAttributes(r,e.options,"functiongraph"),(o=s.Z.copyAttributes(o,e.options,"curve")).curvetype="functiongraph",new t.Z.Curve(e,n,o)},t.Z.registerElement("functiongraph",t.Z.createFunctiongraph),t.Z.registerElement("plot",t.Z.createFunctiongraph),t.Z.createSpline=function(e,i,r){var o,n,a;return n=function(){var t,e=[],r=[];return[function(o,n){var a,h,l;if(!n){if(e=[],r=[],2===i.length&&s.Z.isArray(i[0])&&s.Z.isArray(i[1])&&i[0].length===i[1].length)for(a=0;a<i[0].length;a++)s.Z.isFunction(i[0][a])?e.push(i[0][a]()):e.push(i[0][a]),s.Z.isFunction(i[1][a])?r.push(i[1][a]()):r.push(i[1][a]);else for(a=0;a<i.length;a++)if(s.Z.isPoint(i[a]))e.push(i[a].X()),r.push(i[a].Y());else if(s.Z.isArray(i[a])&&2===i[a].length)for(h=0;h<i.length;h++)s.Z.isFunction(i[h][0])?e.push(i[h][0]()):e.push(i[h][0]),s.Z.isFunction(i[h][1])?r.push(i[h][1]()):r.push(i[h][1]);else s.Z.isFunction(i[a])&&2===i[a]().length&&(l=i[a](),e.push(l[0]),r.push(l[1]));t=d.Z.splineDef(e,r)}return d.Z.splineEval(o,e,r,t)},function(){return e[0]},function(){return e[e.length-1]}]},(r=s.Z.copyAttributes(r,e.options,"curve")).curvetype="functiongraph",a=n(),(o=new t.Z.Curve(e,["x","x",a[0],a[1],a[2]],r)).setParents(i),o.elType="spline",o},t.Z.registerElement("spline",t.Z.createSpline),t.Z.createCardinalSpline=function(e,i,r){var n,a,h,l,c,u,p,f,_,m,g="\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"+g);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'"+g);if(c=s.Z.exists(i[2])&&s.Z.isString(i[2])?i[2]:"uniform",r=s.Z.copyAttributes(r,e.options,"curve"),(r=s.Z.copyAttributes(r,e.options,"cardinalspline")).curvetype="parameter",u=i[0],p=[],!r.isarrayofcoordinates&&2===u.length&&s.Z.isArray(u[0])&&s.Z.isArray(u[1])&&u[0].length===u[1].length)for(f=0;f<u[0].length;f++)p[f]=[],s.Z.isFunction(u[0][f])?p[f].push(u[0][f]()):p[f].push(u[0][f]),s.Z.isFunction(u[1][f])?p[f].push(u[1][f]()):p[f].push(u[1][f]);else for(f=0;f<u.length;f++)s.Z.isString(u[f])?p.push(e.select(u[f])):s.Z.isPoint(u[f])?p.push(u[f]):s.Z.isArray(u[f])&&2===u[f].length?(p[f]=[],s.Z.isFunction(u[f][0])?p[f].push(u[f][0]()):p[f].push(u[f][0]),s.Z.isFunction(u[f][1])?p[f].push(u[f][1]()):p[f].push(u[f][1])):s.Z.isFunction(u[f])&&2===u[f]().length&&p.push(i[f]());if(!0===r.createpoints)h=s.Z.providePoints(e,p,r,"cardinalspline",["points"]);else for(h=[],a=function(t){return{X:function(){return p[t][0]},Y:function(){return p[t][1]},Dist:function(t){var e=this.X()-t.X(),i=this.Y()-t.Y();return o.Z.hypot(e,i)}}},f=0;f<p.length;f++)s.Z.isPoint(p[f])?h.push(p[f]):h.push(a(f));for(l=i[1],m=["x"].concat(d.Z.CardinalSpline(h,l,c)),n=new t.Z.Curve(e,m,r),_=h.length,n.setParents(h),f=0;f<_;f++)u=h[f],s.Z.isPoint(u)&&(s.Z.exists(u._is_new)?(n.addChild(u),delete u._is_new):u.addChild(n));return n.elType="cardinalspline",n},t.Z.registerElement("cardinalspline",t.Z.createCardinalSpline),t.Z.createMetapostSpline=function(e,i,r){var o,n,a,h,l,c,d,u,p="\nPossible parent types: [points:array, controls:object";if(!s.Z.exists(i[0])||!s.Z.isArray(i[0]))throw new Error("JSXGraph: JXG.createMetapostSpline: argument 1 'points' has to be array of points or coordinate pairs"+p);if(!s.Z.exists(i[1])||!s.Z.isObject(i[1]))throw new Error("JSXGraph: JXG.createMetapostSpline: argument 2 'controls' has to be a JavaScript object'"+p);if(r=s.Z.copyAttributes(r,e.options,"curve"),(r=s.Z.copyAttributes(r,e.options,"metapostspline")).curvetype="parameter",l=i[0],c=[],!r.isarrayofcoordinates&&2===l.length&&s.Z.isArray(l[0])&&s.Z.isArray(l[1])&&l[0].length===l[1].length)for(d=0;d<l[0].length;d++)c[d]=[],s.Z.isFunction(l[0][d])?c[d].push(l[0][d]()):c[d].push(l[0][d]),s.Z.isFunction(l[1][d])?c[d].push(l[1][d]()):c[d].push(l[1][d]);else for(d=0;d<l.length;d++)s.Z.isString(l[d])?c.push(e.select(l[d])):s.Z.isPoint(l[d])?c.push(l[d]):s.Z.isArray(l[d])&&2===l[d].length?(c[d]=[],s.Z.isFunction(l[d][0])?c[d].push(l[d][0]()):c[d].push(l[d][0]),s.Z.isFunction(l[d][1])?c[d].push(l[d][1]()):c[d].push(l[d][1])):s.Z.isFunction(l[d])&&2===l[d]().length&&c.push(i[d]());if(!0===r.createpoints)a=s.Z.providePoints(e,c,r,"metapostspline",["points"]);else for(a=[],n=function(t){return{X:function(){return c[t][0]},Y:function(){return c[t][1]}}},d=0;d<c.length;d++)s.Z.isPoint(c[d])?a.push(c[d]):a.push(n);for(h=i[1],(o=new t.Z.Curve(e,["t",[],[],0,l.length-1],r)).updateDataArray=function(){var t,e,i=a.length,s=[];for(e=0;e<i;e++)s.push([a[e].X(),a[e].Y()]);t=m.curve(s,h),this.dataX=t[0],this.dataY=t[1]},o.bezierDegree=3,u=a.length,o.setParents(a),d=0;d<u;d++)s.Z.isPoint(a[d])&&a[d].addChild(o);return o.elType="metapostspline",o},t.Z.registerElement("metapostspline",t.Z.createMetapostSpline),t.Z.createRiemannsum=function(t,e,i){var r,o,n,a,h,l;if((l=s.Z.copyAttributes(i,t.options,"riemannsum")).curvetype="plot",n=e[0],r=s.Z.createFunction(e[1],t,""),!s.Z.exists(r))throw new Error("JSXGraph: JXG.createRiemannsum: argument '2' n has to be number or function.\nPossible parent types: [function,n:number|function,type,start:number|function,end:number|function]");if("string"==typeof e[2]&&(e[2]="'"+e[2]+"'"),o=s.Z.createFunction(e[2],t,""),!s.Z.exists(o))throw new Error("JSXGraph: JXG.createRiemannsum: argument 3 'type' has to be string or function.\nPossible parent types: [function,n:number|function,type,start:number|function,end:number|function]");return a=[[0],[0]].concat(e.slice(3)),(h=t.create("curve",a,l)).sum=0,h.Value=function(){return this.sum},h.updateDataArray=function(){var t=d.Z.riemann(n,r(),o(),this.minX(),this.maxX());this.dataX=t[0],this.dataY=t[1],this.sum=t[2]},h.addParentsFromJCFunctions([r,o]),h},t.Z.registerElement("riemannsum",t.Z.createRiemannsum),t.Z.createTracecurve=function(t,e,r){var o,n,a,h;if(2!==e.length)throw new Error("JSXGraph: Can't create trace curve with given parent'\nPossible parent types: [glider, point]");if(n=t.select(e[0]),a=t.select(e[1]),n.type!==i.Z.OBJECT_TYPE_GLIDER||!s.Z.isPoint(a))throw new Error("JSXGraph: Can't create trace curve with parent types '"+typeof e[0]+"' and '"+typeof e[1]+"'.\nPossible parent types: [glider, point]");return(h=s.Z.copyAttributes(r,t.options,"tracecurve")).curvetype="plot",(o=t.create("curve",[[0],[0]],h)).updateDataArray=function(){var t,e,s,r,o,h,l,c,d,u=this.visProp.numberpoints,p=n.position,f=n.slideObject,_=f.minX();for(e=(f.maxX()-_)/u,this.dataX=[],this.dataY=[],f.elementClass!==i.Z.OBJECT_CLASS_CURVE&&u++,t=0;t<u;t++){for(r in s=_+t*e,h=f.X(s)/f.Z(s),l=f.Y(s)/f.Z(s),n.setPositionDirectly(i.Z.COORDS_BY_USER,[h,l]),c=!1,this.board.objects)if(this.board.objects.hasOwnProperty(r)&&((o=this.board.objects[r])===n&&(c=!0),c&&o.needsRegularUpdate&&(d=o.visProp.trace,o.visProp.trace=!1,o.needsUpdate=!0,o.update(!0),o.visProp.trace=d,o===a)))break;this.dataX[t]=a.X(),this.dataY[t]=a.Y()}for(r in n.position=p,c=!1,this.board.objects)if(this.board.objects.hasOwnProperty(r)&&((o=this.board.objects[r])===n&&(c=!0),c&&o.needsRegularUpdate&&(d=o.visProp.trace,o.visProp.trace=!1,o.needsUpdate=!0,o.update(!0),o.visProp.trace=d,o===a)))break},o},t.Z.registerElement("tracecurve",t.Z.createTracecurve),t.Z.createStepfunction=function(t,e,i){var r,o;if(2!==e.length)throw new Error("JSXGraph: Can't create step function with given parent'\nPossible parent types: [array, array|function]");return o=s.Z.copyAttributes(i,t.options,"stepfunction"),(r=t.create("curve",e,o)).updateDataArray=function(){var t,e=0,i=this.xterm.length;if(this.dataX=[],this.dataY=[],0!==i)for(this.dataX[e]=this.xterm[0],this.dataY[e]=this.yterm[0],++e,t=1;t<i;++t)this.dataX[e]=this.xterm[t],this.dataY[e]=this.dataY[e-1],++e,this.dataX[e]=this.xterm[t],this.dataY[e]=this.yterm[t],++e},r},t.Z.registerElement("stepfunction",t.Z.createStepfunction),t.Z.createDerivative=function(t,e,r){var o,n,a,h,l;if(1!==e.length&&e[0].class!==i.Z.OBJECT_CLASS_CURVE)throw new Error("JSXGraph: Can't create derivative curve with given parent'\nPossible parent types: [curve]");return l=s.Z.copyAttributes(r,t.options,"curve"),n=e[0],a=d.Z.D(n.X),h=d.Z.D(n.Y),(o=t.create("curve",[function(t){return n.X(t)},function(t){return h(t)/a(t)},n.minX(),n.maxX()],l)).setParents(n),o},t.Z.registerElement("derivative",t.Z.createDerivative),t.Z.createCurveIntersection=function(t,e,i){var s;if(2!==e.length)throw new Error("JSXGraph: Can't create curve intersection with given parent'\nPossible parent types: [array, array|function]");return(s=t.create("curve",[[],[]],i)).updateDataArray=function(){var t=g.intersection(e[0],e[1],this.board);this.dataX=t[0],this.dataY=t[1]},s},t.Z.createCurveUnion=function(t,e,i){var s;if(2!==e.length)throw new Error("JSXGraph: Can't create curve union with given parent'\nPossible parent types: [array, array|function]");return(s=t.create("curve",[[],[]],i)).updateDataArray=function(){var t=g.union(e[0],e[1],this.board);this.dataX=t[0],this.dataY=t[1]},s},t.Z.createCurveDifference=function(t,e,i){var s;if(2!==e.length)throw new Error("JSXGraph: Can't create curve difference with given parent'\nPossible parent types: [array, array|function]");return(s=t.create("curve",[[],[]],i)).updateDataArray=function(){var t=g.difference(e[0],e[1],this.board);this.dataX=t[0],this.dataY=t[1]},s},t.Z.registerElement("curvedifference",t.Z.createCurveDifference),t.Z.registerElement("curveintersection",t.Z.createCurveIntersection),t.Z.registerElement("curveunion",t.Z.createCurveUnion),t.Z.createBoxPlot=function(t,e,i){var r,o,n,a=s.Z.copyAttributes(i,t.options,"boxplot");if(3!==e.length)throw new Error("JSXGraph: Can't create box plot with given parent'\nPossible parent types: [array, number|function, number|function] containing quantiles, axis, width");if(e[0].length<5)throw new Error("JSXGraph: Can't create box plot with given parent[0]'\nparent[0] has to contain at least 5 quantiles.");for(r=t.create("curve",[[],[]],a),n=e[0].length,r.Q=[],o=0;o<n;o++)r.Q[o]=s.Z.createFunction(e[0][o],t);return r.x=s.Z.createFunction(e[1],t),r.w=s.Z.createFunction(e[2],t),r.updateDataArray=function(){var t,e,i,s,r,o,n,a,h;n=this.evalVisProp("smallwidth"),a=this.evalVisProp("dir"),i=(h=this.x())-.5*this.w(),s=h-.5*this.w()*n,r=h+.5*this.w(),t=[h,s,o=h+.5*this.w()*n,h,h,i,i,r,r,h,NaN,i,r,NaN,h,h,s,o,h],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"===a?(this.dataX=t,this.dataY=e):(this.dataX=e,this.dataY=t)},r.addParentsFromJCFunctions([r.Q,r.x,r.w]),r},t.Z.registerElement("boxplot",t.Z.createBoxPlot),t.Z.createImplicitCurve=function(t,e,i){var r,o;if([1,3,5].indexOf(e.length)<0)throw new Error("JSXGraph: Can't create curve implicitCurve with given parent'\nPossible parent types: [f], [f, rangex, rangey], [f, dfx, dfy] or [f, dfx, dfy, rangex, rangey]\nwith functions f, dfx, dfy and arrays of length 2 rangex, rangey.");return o=s.Z.copyAttributes(i,t.options,"implicitcurve"),(r=t.create("curve",[[],[]],o)).f=s.Z.createFunction(e[0],t,"x, y"),5===e.length||s.Z.isString(e[1])||s.Z.isFunction(e[1])?r.dfx=s.Z.createFunction(e[1],t,"x, y"):r.dfx=null,5===e.length||s.Z.isString(e[2])||s.Z.isFunction(e[2])?r.dfy=s.Z.createFunction(e[2],t,"x, y"):r.dfy=null,r.domain=null,5===e.length?r.domain=[e[3],e[4]]:3===e.length&&(r.domain=[e[1],e[2]]),r.updateDataArray=function(){var t,e,i,r,o,n,a;null===this.domain?(a=this.evalVisProp("margin"),(t=this.board.getBoundingBox())[0]-=a,t[1]+=a,t[2]+=a,t[3]-=a):(e=s.Z.evaluate(this.domain[0]),i=s.Z.evaluate(this.domain[1]),t=[Math.min(e[0],e[1]),Math.max(i[0],i[1]),Math.max(e[0],e[1]),Math.min(i[0],i[1])]),o={resolution_out:Math.max(.01,this.evalVisProp("resolution_outer")),resolution_in:Math.max(.01,this.evalVisProp("resolution_inner")),max_steps:this.evalVisProp("max_steps"),alpha_0:this.evalVisProp("alpha_0"),tol_u0:this.evalVisProp("tol_u0"),tol_newton:this.evalVisProp("tol_newton"),tol_cusp:this.evalVisProp("tol_cusp"),tol_progress:this.evalVisProp("tol_progress"),qdt_box:this.evalVisProp("qdt_box"),kappa_0:this.evalVisProp("kappa_0"),delta_0:this.evalVisProp("delta_0"),h_initial:this.evalVisProp("h_initial"),h_critical:this.evalVisProp("h_critical"),h_max:this.evalVisProp("h_max"),loop_dist:this.evalVisProp("loop_dist"),loop_dir:this.evalVisProp("loop_dir"),loop_detection:this.evalVisProp("loop_detection"),unitX:this.board.unitX,unitY:this.board.unitY},this.dataX=[],this.dataY=[],r=new _(t,o,this.f,this.dfx,this.dfy),this.qdt=r.qdt,n=r.plot(),this.dataX=n[0],this.dataY=n[1]},r.elType="implicitcurve",r},t.Z.registerElement("implicitcurve",t.Z.createImplicitCurve);t.Z.Curve;t.Z.createArc=function(e,r,n){var a,l,c;if(!1===(c=s.Z.providePoints(e,r,n,"arc",["center","radiuspoint","anglepoint"]))||c.length<3)throw new Error("JSXGraph: Can't create Arc with parent types '"+typeof r[0]+"' and '"+typeof r[1]+"' and '"+typeof r[2]+"'.\nPossible parent types: [point,point,point], [arc, transformation]");return l=s.Z.copyAttributes(n,e.options,"arc"),(a=e.create("curve",[[0],[0],0,4],l)).elType="arc",a.setParents(c),a.type=i.Z.OBJECT_TYPE_ARC,a.center=c[0],a.radiuspoint=c[1],a.point2=a.radiuspoint,a.anglepoint=c[2],a.point3=a.anglepoint,s.Z.exists(a.center._is_new)?(a.addChild(a.center),delete a.center._is_new):a.center.addChild(a),s.Z.exists(a.radiuspoint._is_new)?(a.addChild(a.radiuspoint),delete a.radiuspoint._is_new):a.radiuspoint.addChild(a),s.Z.exists(a.anglepoint._is_new)?(a.addChild(a.anglepoint),delete a.anglepoint._is_new):a.anglepoint.addChild(a),a.useDirection=l.usedirection,a.updateDataArray=function(){var t,e,i,s,r,o=1,n=this.radiuspoint,a=this.center,l=this.anglepoint,d=this.evalVisProp("selection");e=h.Z.rad(n,a,l),("minor"===d&&e>Math.PI||"major"===d&&e<Math.PI)&&(o=-1),this.useDirection&&(i=c[1].coords.usrCoords,s=c[3].coords.usrCoords,r=c[2].coords.usrCoords,(i[1]-r[1])*(i[2]-s[2])-(i[2]-r[2])*(i[1]-s[1])<0?(this.radiuspoint=c[1],this.anglepoint=c[2]):(this.radiuspoint=c[2],this.anglepoint=c[1])),n=n.coords.usrCoords,a=a.coords.usrCoords,l=l.coords.usrCoords,t=h.Z.bezierArc(n,a,l,!1,o),this.dataX=t[0],this.dataY=t[1],this.bezierDegree=3,this.updateStdform(),this.updateQuadraticform()},a.Radius=function(){return this.radiuspoint.Dist(this.center)},a.getRadius=function(){return t.Z.deprecated("Arc.getRadius()","Arc.Radius()"),this.Radius()},a.Value=function(t,e){var i;return e=e||h.Z.rad(this.radiuspoint,this.center,this.anglepoint),""===(t=(t=t||"length").toLocaleLowerCase())||0===t.indexOf("len")?i=e*this.Radius():0===t.indexOf("rad")?i=e:0===t.indexOf("deg")?i=180*e/Math.PI:0===t.indexOf("sem")?i=e/Math.PI:0===t.indexOf("cir")&&(i=.5*e/Math.PI),i},a.L=function(){return this.Value("length")},a.hasPoint=function(t,e){var r,n,a,l,c,d,p,f=this.Radius();return this.evalVisProp("hasinnerpoints")?this.hasPointSector(t,e):(s.Z.isObject(this.evalVisProp("precision"))?(p=this.board._inputDevice,d=this.evalVisProp("precision."+p)):d=this.board.options.precision.hasPoint,d/=Math.min(Math.abs(this.board.unitX),Math.abs(this.board.unitY)),n=new u.Z(i.Z.COORDS_BY_SCREEN,[t,e],this.board),this.transformations.length>0&&(this.updateTransformMatrix(),l=o.Z.inverse(this.transformMat),c=o.Z.matVecMult(l,n.usrCoords),n=new u.Z(i.Z.COORDS_BY_USER,c,this.board)),r=this.center.coords.distance(i.Z.COORDS_BY_USER,n),(a=Math.abs(r-f)<d)&&(a=h.Z.coordsOnArc(this,n)),a)},a.hasPointSector=function(t,e){var s=new u.Z(i.Z.COORDS_BY_SCREEN,[t,e],this.board),r=this.Radius(),o=this.center.coords.distance(i.Z.COORDS_BY_USER,s)<r;return o&&(o=h.Z.coordsOnArc(this,s)),o},a.getTextAnchor=function(){return this.center.coords},a.getLabelAnchor=function(){var t,e,r,n,a,l=this.label.evalVisProp("position"),c=h.Z.rad(this.radiuspoint,this.center,this.anglepoint),d=10/this.board.unitX,p=10/this.board.unitY,f=this.point2.coords.usrCoords,_=this.center.coords.usrCoords,m=f[1]-_[1],g=f[2]-_[2],b=this.evalVisProp("selection"),v=this.label?this.label.visProp:this.visProp.label;return!s.Z.isString(l)||l.indexOf("right")<0&&l.indexOf("left")<0?(("minor"===b&&c>Math.PI||"major"===b&&c<Math.PI)&&(c=-(2*Math.PI-c)),r=(t=new u.Z(i.Z.COORDS_BY_USER,[_[1]+Math.cos(.5*c)*m-Math.sin(.5*c)*g,_[2]+Math.sin(.5*c)*m+Math.cos(.5*c)*g],this.board)).usrCoords[1]-_[1],n=t.usrCoords[2]-_[2],r=r*((a=o.Z.hypot(r,n))+d)/a,n=n*(a+p)/a,e=[_[1]+r,_[2]+n],v.position=h.Z.calcLabelQuadrant(h.Z.rad([1,0],[0,0],e)),new u.Z(i.Z.COORDS_BY_USER,e,this.board)):this.getLabelPosition(l,this.label.evalVisProp("distance"))},a.updateQuadraticform=V.prototype.updateQuadraticform,a.updateStdform=V.prototype.updateStdform,a.methodMap=t.Z.deepCopy(a.methodMap,{getRadius:"getRadius",radius:"Radius",Radius:"Radius",center:"center",radiuspoint:"radiuspoint",anglepoint:"anglepoint",Value:"Value",L:"L"}),a.prepareUpdate().update(),a},t.Z.registerElement("arc",t.Z.createArc),t.Z.createSemicircle=function(t,e,i){var r,o,n,a;if(!1===(a=s.Z.providePoints(t,e,i,"point"))||2!==a.length)throw new Error("JSXGraph: Can't create Semicircle with parent types '"+typeof e[0]+"' and '"+typeof e[1]+"'.\nPossible parent types: [point,point]");return n=s.Z.copyAttributes(i,t.options,"semicircle","center"),(o=t.create("midpoint",a,n)).dump=!1,n=s.Z.copyAttributes(i,t.options,"semicircle"),(r=t.create("arc",[o,a[1],a[0]],n)).elType="semicircle",r.setParents([a[0].id,a[1].id]),r.subs={midpoint:o},r.inherits.push(o),r.midpoint=r.center=o,r},t.Z.registerElement("semicircle",t.Z.createSemicircle),t.Z.createCircumcircleArc=function(t,e,i){var r,o,n,a;if(!1===(a=s.Z.providePoints(t,e,i,"point"))||3!==a.length)throw new Error("JSXGraph: create Circumcircle Arc with parent types '"+typeof e[0]+"' and '"+typeof e[1]+"' and '"+typeof e[2]+"'.\nPossible parent types: [point,point,point]");return n=s.Z.copyAttributes(i,t.options,"circumcirclearc","center"),(o=t.create("circumcenter",a,n)).dump=!1,(n=s.Z.copyAttributes(i,t.options,"circumcirclearc")).usedirection=!0,(r=t.create("arc",[o,a[0],a[2],a[1]],n)).elType="circumcirclearc",r.setParents([a[0].id,a[1].id,a[2].id]),r.subs={center:o},r.inherits.push(o),r.center=o,r},t.Z.registerElement("circumcirclearc",t.Z.createCircumcircleArc),t.Z.createMinorArc=function(e,i,s){return s.selection="minor",t.Z.createArc(e,i,s)},t.Z.registerElement("minorarc",t.Z.createMinorArc),t.Z.createMajorArc=function(e,i,s){return s.selection="major",t.Z.createArc(e,i,s)},t.Z.registerElement("majorarc",t.Z.createMajorArc),t.Z.createSector=function(e,r,n){var a,l,c,d,f,_,m=1e-14,g="invalid";if(r[0].elementClass===i.Z.OBJECT_CLASS_LINE&&r[1].elementClass===i.Z.OBJECT_CLASS_LINE&&(s.Z.isArray(r[2])||s.Z.isNumber(r[2]))&&(s.Z.isArray(r[3])||s.Z.isNumber(r[3]))&&(s.Z.isNumber(r[4])||s.Z.isFunction(r[4])||s.Z.isString(r[4])))g="2lines";else{if(!1===(_=s.Z.providePoints(e,r,n,"sector",["center","radiusPoint","anglePoint"])))throw new Error("JSXGraph: Can't create Sector with parent types '"+typeof r[0]+"' and '"+typeof r[1]+"' and '"+typeof r[2]+"'.");g="3points"}if(l=s.Z.copyAttributes(n,e.options,"sector"),(a=e.create("curve",[[0],[0],0,6],l)).type=i.Z.OBJECT_TYPE_SECTOR,a.elType="sector",a.autoRadius=function(){var t=20/a.board.unitX,e=1/0,i=50/a.board.unitX;return s.Z.isPoint(a.center)&&(e=.3333*a.center.Dist(a.point2)),Math.max(t,Math.min(e,i))},"2lines"===g)a.Radius=function(){var t=s.Z.evaluate(r[4]);return"auto"===t?this.autoRadius():t},a.line1=e.select(r[0]),a.line2=e.select(r[1]),a.line1.addChild(a),a.line2.addChild(a),a.setParents(r),a.point1={visProp:{}},a.point2={visProp:{}},a.point3={visProp:{}},d=h.Z.meetLineLine(a.line1.stdform,a.line2.stdform,0,e),h.Z.distance(d.usrCoords,[0,0,0],3)<m&&(a.line1.point1.Dist(a.line2.point1)<m||a.line1.point1.Dist(a.line2.point2)<m?d=a.line1.point1.coords:a.line1.point2.Dist(a.line2.point1)<m||a.line1.point2.Dist(a.line2.point1)<m?d=a.line1.point2.coords:console.log("JSXGraph warning: Can't create Sector from parallel lines with no common defining point.")),s.Z.isArray(r[2])?(2===r[2].length&&(r[2]=[1].concat(r[2])),f=h.Z.projectPointToLine({coords:{usrCoords:r[2]}},a.line1,e),f=p.Z.subtract(f.usrCoords,d.usrCoords),a.direction1=o.Z.innerProduct(f,[0,a.line1.stdform[2],-a.line1.stdform[1]],3)>=0?1:-1):a.direction1=r[2]>=0?1:-1,s.Z.isArray(r[3])?(2===r[3].length&&(r[3]=[1].concat(r[3])),f=h.Z.projectPointToLine({coords:{usrCoords:r[3]}},a.line2,e),f=p.Z.subtract(f.usrCoords,d.usrCoords),a.direction2=o.Z.innerProduct(f,[0,a.line2.stdform[2],-a.line2.stdform[1]],3)>=0?1:-1):a.direction2=r[3]>=0?1:-1,a.methodMap=t.Z.deepCopy(a.methodMap,{arc:"arc",center:"center",line1:"line1",line2:"line2"}),a.updateDataArray=function(){var t,e,s,r,n,l,c=1e-14,d=[0,0,0];if(e=this.line1,s=this.line2,d=o.Z.crossProduct(e.stdform,s.stdform),h.Z.distance(d,[0,0,0],3)<c&&(e.point1.Dist(s.point1)<c||e.point1.Dist(s.point2)<c?d=e.point1.coords.usrCoords:(e.point2.Dist(s.point1)<c||e.point2.Dist(s.point1)<c)&&(d=e.point2.coords.usrCoords)),Math.abs(d[0])>c&&(d[1]/=d[0],d[2]/=d[0],d[0]/=d[0]),t=this.direction1*this.Radius(),r=p.Z.add(d,[0,t*e.stdform[2],-t*e.stdform[1]]),t=this.direction2*this.Radius(),n=p.Z.add(d,[0,t*s.stdform[2],-t*s.stdform[1]]),this.point2.coords=new u.Z(i.Z.COORDS_BY_USER,r,a.board),this.point1.coords=new u.Z(i.Z.COORDS_BY_USER,d,a.board),this.point3.coords=new u.Z(i.Z.COORDS_BY_USER,n,a.board),Math.abs(r[0])<o.Z.eps||Math.abs(d[0])<o.Z.eps||Math.abs(n[0])<o.Z.eps)return this.dataX=[NaN],void(this.dataY=[NaN]);l=h.Z.bezierArc(r,d,n,!0,1),this.dataX=l[0],this.dataY=l[1],this.bezierDegree=3};else if("3points"===g){for(a.point1=_[0],a.point2=_[1],a.point3=_[2],c=0;c<3;c++)s.Z.exists(_[c]._is_new)?(a.addChild(_[c]),delete _[c]._is_new):_[c].addChild(a);a.useDirection=n.usedirection,a.setParents(_),s.Z.exists(_[3])&&(a.point4=_[3],a.point4.addChild(a)),a.methodMap=t.Z.deepCopy(a.methodMap,{arc:"arc",center:"center",radiuspoint:"radiuspoint",anglepoint:"anglepoint"}),a.updateDataArray=function(){var t,e,i,r,o,n=this.point2,a=this.point1,l=this.point3,c=1,d=this.evalVisProp("selection");if(!n.isReal||!a.isReal||!l.isReal)return this.dataX=[NaN],void(this.dataY=[NaN]);o=h.Z.rad(n,a,l),("minor"===d&&o>Math.PI||"major"===d&&o<Math.PI)&&(c=-1),this.useDirection&&s.Z.exists(this.point4)&&(e=this.point2.coords.usrCoords,i=this.point4.coords.usrCoords,r=this.point3.coords.usrCoords,(e[1]-r[1])*(e[2]-i[2])-(e[2]-r[2])*(e[1]-i[1])>=0&&(l=this.point2,n=this.point3)),n=n.coords.usrCoords,a=a.coords.usrCoords,l=l.coords.usrCoords,t=h.Z.bezierArc(n,a,l,!0,c),this.dataX=t[0],this.dataY=t[1],this.bezierDegree=3},a.Radius=function(){return this.point2.Dist(this.point1)}}return a.center=a.point1,a.radiuspoint=a.point2,a.anglepoint=a.point3,l=s.Z.copyAttributes(n,e.options,"arc"),(l=s.Z.copyAttributes(l,e.options,"sector","arc")).withlabel=!1,l.selection=a.visProp.selection,l.name+="_arc","2lines"===g?(a.updateDataArray(),a.arc=e.create("arc",[function(){return a.point1.coords.usrCoords},function(){var t=a.point2.coords.distance(i.Z.COORDS_BY_USER,a.point1.coords);return 0===t?[a.point1.coords.usrCoords[1],a.point1.coords.usrCoords[2]]:[a.point1.coords.usrCoords[1]+a.Radius()*(a.point2.coords.usrCoords[1]-a.point1.coords.usrCoords[1])/t,a.point1.coords.usrCoords[2]+a.Radius()*(a.point2.coords.usrCoords[2]-a.point1.coords.usrCoords[2])/t]},function(){return a.point3.coords.usrCoords}],l)):a.arc=e.create("arc",[a.point1,function(){var t=a.point2.Dist(a.point1);return 0===t?[a.point1.X(),a.point1.Y()]:[a.point1.X()+a.Radius()*(a.point2.X()-a.point1.X())/t,a.point1.Y()+a.Radius()*(a.point2.Y()-a.point1.Y())/t]},a.point3],l),a.addChild(a.arc),a.hasPointCurve=function(t,e){var r,o,n,a,l,c,d=new u.Z(i.Z.COORDS_BY_SCREEN,[t,e],this.board),p=this.Radius(),f=this.center.coords.distance(i.Z.COORDS_BY_USER,d),_=this.evalVisProp("selection");return s.Z.isObject(this.evalVisProp("precision"))?(l=this.board._inputDevice,a=this.evalVisProp("precision."+l)):a=this.board.options.precision.hasPoint,a/=Math.min(Math.abs(this.board.unitX),Math.abs(this.board.unitY)),(c=Math.abs(f-p)<a)&&(r=h.Z.rad(this.point2,this.center,d.usrCoords.slice(1)),o=0,n=h.Z.rad(this.point2,this.center,this.point3),("minor"===_&&n>Math.PI||"major"===_&&n<Math.PI)&&(o=n,n=2*Math.PI),(r<o||r>n)&&(c=!1)),c},a.hasPointSector=function(t,e){var s,r,o,n=new u.Z(i.Z.COORDS_BY_SCREEN,[t,e],this.board),a=this.Radius(),l=this.point1.coords.distance(i.Z.COORDS_BY_USER,n)<a,c=this.evalVisProp("selection");return l&&(s=h.Z.rad(this.radiuspoint,this.center,n.usrCoords.slice(1)),r=0,o=h.Z.rad(this.radiuspoint,this.center,this.anglepoint),("minor"===c&&o>Math.PI||"major"===c&&o<Math.PI)&&(r=o,o=2*Math.PI),(s<r||s>o)&&(l=!1)),l},a.hasPoint=function(t,e){return this.evalVisProp("highlightonsector")||this.evalVisProp("hasinnerpoints")?this.hasPointSector(t,e):this.hasPointCurve(t,e)},a.getTextAnchor=function(){return this.point1.coords},a.getLabelAnchor=function(){var t,e,r,n,a,l=this.label.evalVisProp("position"),c=h.Z.rad(this.point2,this.point1,this.point3),d=13/this.board.unitX,p=13/this.board.unitY,f=this.point2.coords.usrCoords,_=this.point1.coords.usrCoords,m=f[1]-_[1],g=f[2]-_[2],b=this.evalVisProp("selection"),v=this.label?this.label.visProp:this.visProp.label;return!s.Z.isString(l)||l.indexOf("right")<0&&l.indexOf("left")<0?(("minor"===b&&c>Math.PI||"major"===b&&c<Math.PI)&&(c=-(2*Math.PI-c)),r=(t=new u.Z(i.Z.COORDS_BY_USER,[_[1]+Math.cos(.5*c)*m-Math.sin(.5*c)*g,_[2]+Math.sin(.5*c)*m+Math.cos(.5*c)*g],this.board)).usrCoords[1]-_[1],n=t.usrCoords[2]-_[2],r=r*((a=o.Z.hypot(r,n))+d)/a,n=n*(a+p)/a,e=[_[1]+r,_[2]+n],v.position=h.Z.calcLabelQuadrant(h.Z.rad([1,0],[0,0],e)),new u.Z(i.Z.COORDS_BY_USER,e,this.board)):this.getLabelPosition(l,this.label.evalVisProp("distance"))},a.setRadius=function(t){var e=s.Z.evaluate(t);"undefined"!==("auto"===t||"auto"===e?"auto":s.Z.isNumber(t)?"number":s.Z.isFunction(t)&&!s.Z.isString(e)?"function":"undefined")&&(this.visProp.radius=t),a.Radius=function(){var e=s.Z.evaluate(t);return"auto"===e?this.autoRadius():e}},a.getRadius=function(){return t.Z.deprecated("Sector.getRadius()","Sector.Radius()"),this.Radius()},a.Value=function(t){return this.arc.Value(t)},a.L=function(){return this.arc.L()},a.Area=function(){var t=this.Radius();return.5*t*t*this.Value("radians")},a.Perimeter=function(){return this.L()+2*this.Radius()},"3points"===g&&(a.setPositionDirectly=function(t,e,i){var s,r=new u.Z(t,e,this.board),o=new u.Z(t,i,this.board);return a.point1.draggable()&&a.point2.draggable()&&a.point3.draggable()?(s=p.Z.subtract(r.usrCoords,o.usrCoords),this.board.create("transform",s.slice(1),{type:"translate"}).applyOnce([a.point1,a.point2,a.point3]),this):this}),a.methodMap=t.Z.deepCopy(a.methodMap,{radius:"Radius",Radius:"Radius",getRadius:"Radius",setRadius:"setRadius",Value:"Value",L:"L",Area:"Area",Perimeter:"Perimeter"}),a},t.Z.registerElement("sector",t.Z.createSector),t.Z.createCircumcircleSector=function(t,e,i){var r,o,n,a;if(!1===(a=s.Z.providePoints(t,e,i,"point")))throw new Error("JSXGraph: Can't create circumcircle sector with parent types '"+typeof e[0]+"' and '"+typeof e[1]+"' and '"+typeof e[2]+"'.");return(o=t.create("circumcenter",a.slice(0,3),n)).dump=!1,n=s.Z.copyAttributes(i,t.options,"circumcirclesector"),(r=t.create("sector",[o,a[0],a[2],a[1]],n)).elType="circumcirclesector",r.setParents(a),r.center=o,r.subs={center:o},r},t.Z.registerElement("circumcirclesector",t.Z.createCircumcircleSector),t.Z.createMinorSector=function(e,i,s){return s.selection="minor",t.Z.createSector(e,i,s)},t.Z.registerElement("minorsector",t.Z.createMinorSector),t.Z.createMajorSector=function(e,i,s){return s.selection="major",t.Z.createSector(e,i,s)},t.Z.registerElement("majorsector",t.Z.createMajorSector),t.Z.createAngle=function(t,e,r){var n,a,l,c,d,p,f="invalid";if(e[0].elementClass===i.Z.OBJECT_CLASS_LINE&&e[1].elementClass===i.Z.OBJECT_CLASS_LINE&&(s.Z.isArray(e[2])||s.Z.isNumber(e[2]))&&(s.Z.isArray(e[3])||s.Z.isNumber(e[3])))f="2lines";else{if(l={name:""},!1===(p=s.Z.providePoints(t,e,l,"point")))throw new Error("JSXGraph: Can't create angle with parent types '"+typeof e[0]+"' and '"+typeof e[1]+"' and '"+typeof e[2]+"'.");f="3points"}if(l=s.Z.copyAttributes(r,t.options,"angle"),s.Z.exists(l.name)||(l.name=t.generateName({type:i.Z.OBJECT_TYPE_ANGLE})),a=s.Z.exists(l.radius)?l.radius:0,t.suspendUpdate(),"2lines"===f?(e.push(a),(n=t.create("sector",e,l)).updateDataArraySector=n.updateDataArray,n.setAngle=function(t){},n.free=function(t){}):((n=t.create("sector",[p[1],p[0],p[2]],l)).arc.visProp.priv=!0,n.point=n.point2=n.radiuspoint=p[0],n.pointsquare=n.point3=n.anglepoint=p[2],n.Radius=function(){var t=s.Z.evaluate(a);return"auto"===t?n.autoRadius():t},n.updateDataArraySector=function(){var t,e,i=this.point2,s=this.point1,r=this.point3,o=this.Radius(),n=s.Dist(i),a=1,l=this.evalVisProp("selection");e=h.Z.rad(i,s,r),("minor"===l&&e>Math.PI||"major"===l&&e<Math.PI)&&(a=-1),i=i.coords.usrCoords,s=s.coords.usrCoords,r=r.coords.usrCoords,i=[1,s[1]+(i[1]-s[1])*o/n,s[2]+(i[2]-s[2])*o/n],r=[1,s[1]+(r[1]-s[1])*o/n,s[2]+(r[2]-s[2])*o/n],t=h.Z.bezierArc(i,s,r,!0,a),this.dataX=t[0],this.dataY=t[1],this.bezierDegree=3},n.setAngle=function(t){var e,r,n,a=this.anglepoint,h=this.radiuspoint;return a.draggable()&&(e=this.board.create("transform",[t,this.center],{type:"rotate"}),a.addTransform(h,e),e.update(),a.moveTo(o.Z.matVecMult(e.matrix,h.coords.usrCoords)),n=s.Z.isFunction(t)?function(){return 2*Math.PI-t()}:function(){return 2*Math.PI-t},r=this.board.create("transform",[n,this.center],{type:"rotate"}),a.coords.on("update",(function(){r.update(),h.setPositionDirectly(i.Z.COORDS_BY_USER,o.Z.matVecMult(r.matrix,a.coords.usrCoords))})),a.setParents(h),this.hasFixedAngle=!0),this},n.free=function(){var t=this.anglepoint;return t.transformations.length>0&&(t.transformations.pop(),t.isDraggable=!0,t.parents=[],t.coords.off("update")),this.hasFixedAngle=!1,this},n.setParents(p)),s.Z.exists(n.visProp.text)&&n.label.setText(n.evalVisProp("text")),n.elType="angle",n.type=i.Z.OBJECT_TYPE_ANGLE,n.subs={},n.updateDataArraySquare=function(){var t,e,i,s,r,n,a,l,c=this.Radius();"2lines"===f&&this.updateDataArraySector(),t=this.point2,e=this.point1,i=this.point3,t=t.coords.usrCoords,e=e.coords.usrCoords,i=i.coords.usrCoords,s=h.Z.distance(t,e,3),r=h.Z.distance(i,e,3),t=[1,e[1]+(t[1]-e[1])*c/s,e[2]+(t[2]-e[2])*c/s],i=[1,e[1]+(i[1]-e[1])*c/r,e[2]+(i[2]-e[2])*c/r],n=o.Z.crossProduct(i,e),a=[-t[1]*n[1]-t[2]*n[2],t[0]*n[1],t[0]*n[2]],n=o.Z.crossProduct(t,e),l=[-i[1]*n[1]-i[2]*n[2],i[0]*n[1],i[0]*n[2]],(n=o.Z.crossProduct(a,l))[1]/=n[0],n[2]/=n[0],this.dataX=[e[1],t[1],n[1],i[1],e[1]],this.dataY=[e[2],t[2],n[2],i[2],e[2]],this.bezierDegree=1},n.updateDataArrayNone=function(){this.dataX=[NaN],this.dataY=[NaN],this.bezierDegree=1},n.updateDataArray=function(){var t=this.evalVisProp("type"),e=h.Z.trueAngle(this.point2,this.point1,this.point3),i=this.evalVisProp("selection");("minor"===i&&e>180||"major"===i&&e<180)&&(e=360-e),Math.abs(e-90)<this.evalVisProp("orthosensitivity")+o.Z.eps&&(t=this.evalVisProp("orthotype")),"none"===t?(this.updateDataArrayNone(),this.maxX=function(){return 0}):"square"===t?(this.updateDataArraySquare(),this.maxX=function(){return 4}):"sector"===t?(this.updateDataArraySector(),this.maxX=function(){return 6}):"sectordot"===t&&(this.updateDataArraySector(),this.maxX=function(){return 6},this.dot.visProp.visible||this.dot.setAttribute({visible:!0})),(!this.visProp.visible||"sectordot"!==t&&this.dot.visProp.visible)&&this.dot.setAttribute({visible:!1})},c=s.Z.copyAttributes(r,t.options,"angle","dot"),n.dot=t.create("point",[function(){var t,e,i,r,a,l,c,d,u;return s.Z.exists(n.dot)&&!n.dot.visProp.visible?[0,0]:(t=n.point2.coords.usrCoords,e=n.point1.coords.usrCoords,i=n.Radius(),r=h.Z.distance(t,e,3),a=h.Z.rad(n.point2,n.point1,n.point3),("minor"===(u=n.evalVisProp("selection"))&&a>Math.PI||"major"===u&&a<Math.PI)&&(a=-(2*Math.PI-a)),a*=.5,l=Math.cos(a),c=Math.sin(a),t=[1,e[1]+(t[1]-e[1])*i/r,e[2]+(t[2]-e[2])*i/r],d=[[1,0,0],[e[1]-.5*e[1]*l+.5*e[2]*c,.5*l,.5*-c],[e[2]-.5*e[1]*c-.5*e[2]*l,.5*c,.5*l]],o.Z.matVecMult(d,t))}],c),n.dot.dump=!1,n.subs.dot=n.dot,"2lines"===f)for(d=0;d<2;d++)t.select(e[d]).addChild(n.dot);else for(d=0;d<3;d++)t.select(p[d]).addChild(n.dot);return t.unsuspendUpdate(),n.Value=function(t){return""===(t=t||"radians")&&(t="radians"),n.arc.Value(t)},n.getLabelAnchor=function(){var t,e,r,a,l,c,d,p,f,_=12,m=n.evalVisProp("selection"),g=this.label?this.label.visProp:this.visProp.label,b=this.label?this.label.evalVisProp("position"):this.evalVisProp("label.position");return!s.Z.isString(b)||b.indexOf("right")<0&&b.indexOf("left")<0?(s.Z.exists(this.label)&&s.Z.exists(this.label.visProp.fontsize)&&(_=this.label.evalVisProp("fontsize")),_/=this.board.unitX,e=n.point2.coords.usrCoords,r=n.point1.coords.usrCoords,a=n.Radius(),l=h.Z.distance(e,r,3),c=h.Z.rad(n.point2,n.point1,n.point3),("minor"===m&&c>Math.PI||"major"===m&&c<Math.PI)&&(c=-(2*Math.PI-c)),c*=.5,d=Math.cos(c),p=Math.sin(c),e=[1,r[1]+(e[1]-r[1])*a/l,r[2]+(e[2]-r[2])*a/l],f=[[1,0,0],[r[1]-.5*r[1]*d+.5*r[2]*p,.5*d,.5*-p],[r[2]-.5*r[1]*p-.5*r[2]*d,.5*p,.5*d]],(t=o.Z.matVecMult(f,e))[1]/=t[0],t[2]/=t[0],t[0]/=t[0],l=h.Z.distance(t,r,3),t=[t[0],r[1]+(t[1]-r[1])*(a+_)/l,r[2]+(t[2]-r[2])*(a+_)/l],g.position=h.Z.calcLabelQuadrant(h.Z.rad([1,0],[0,0],t)),new u.Z(i.Z.COORDS_BY_USER,t,this.board)):this.getLabelPosition(b,this.label.evalVisProp("distance"))},n.methodMap=s.Z.deepCopy(n.methodMap,{setAngle:"setAngle",Value:"Value",free:"free"}),n},t.Z.registerElement("angle",t.Z.createAngle),t.Z.createNonreflexAngle=function(e,i,r){var o;return r.selection="minor",r=s.Z.copyAttributes(r,e.options,"nonreflexangle"),(o=t.Z.createAngle(e,i,r)).Value=function(t){var e=h.Z.rad(this.point2,this.point1,this.point3);return""===(t=t||"radians")&&(t="radians"),e=e<Math.PI?e:2*Math.PI-e,this.arc.Value(t,e)},o},t.Z.registerElement("nonreflexangle",t.Z.createNonreflexAngle),t.Z.createReflexAngle=function(e,i,r){var o;return r.selection="major",r=s.Z.copyAttributes(r,e.options,"reflexangle"),(o=t.Z.createAngle(e,i,r)).Value=function(t){var e=h.Z.rad(this.point2,this.point1,this.point3);return""===(t=t||"radians")&&(t="radians"),e=e>=Math.PI?e:2*Math.PI-e,this.arc.Value(t,e)},o},t.Z.registerElement("reflexangle",t.Z.createReflexAngle),t.Z.createOrthogonalProjection=function(t,e,r){var o,n,a,l;if(e[0]=t.select(e[0]),e[1]=t.select(e[1]),s.Z.isPointType(t,e[0])&&e[1].elementClass===i.Z.OBJECT_CLASS_LINE)n=s.Z.providePoints(t,[e[0]],r,"point")[0],o=e[1];else{if(!s.Z.isPointType(t,e[1])||e[0].elementClass!==i.Z.OBJECT_CLASS_LINE)throw new Error("JSXGraph: Can't create perpendicular point with parent types '"+typeof e[0]+"' and '"+typeof e[1]+"'.\nPossible parent types: [point,line]");n=s.Z.providePoints(t,[e[1]],r,"point")[0],o=e[0]}return l=s.Z.copyAttributes(r,t.options,"orthogonalprojection"),a=t.create("point",[function(){return h.Z.projectPointToLine(n,o,t)}],l),s.Z.exists(n._is_new)?(a.addChild(n),delete n._is_new):n.addChild(a),o.addChild(a),a.elType="orthogonalprojection",a.setParents([n.id,a.id]),a.update(),a.generatePolynomial=function(){var t=o.point1.symbolic.x,e=o.point1.symbolic.y,i=o.point2.symbolic.x,s=o.point2.symbolic.y,r=n.symbolic.x,h=n.symbolic.y,l=a.symbolic.x,c=a.symbolic.y;return["("+e+")*("+l+")-("+e+")*("+i+")+("+c+")*("+i+")-("+t+")*("+c+")+("+t+")*("+s+")-("+l+")*("+s+")","("+h+")*("+e+")-("+h+")*("+s+")-("+c+")*("+e+")+("+c+")*("+s+")+("+r+")*("+t+")-("+r+")*("+i+")-("+l+")*("+t+")+("+l+")*("+i+")"]},a},t.Z.createPerpendicular=function(e,r,o){var n,a,h,l;if(r[0]=e.select(r[0]),r[1]=e.select(r[1]),s.Z.isPointType(e,r[0])&&r[1].elementClass===i.Z.OBJECT_CLASS_LINE)a=r[1],n=s.Z.providePoints(e,[r[0]],o,"point")[0];else{if(!s.Z.isPointType(e,r[1])||r[0].elementClass!==i.Z.OBJECT_CLASS_LINE)throw new Error("JSXGraph: Can't create perpendicular with parent types '"+typeof r[0]+"' and '"+typeof r[1]+"'.\nPossible parent types: [line,point]");a=r[0],n=s.Z.providePoints(e,[r[1]],o,"point")[0]}return l=s.Z.copyAttributes(o,e.options,"perpendicular"),(h=t.Z.createLine(e,[function(){return a.stdform[2]*n.X()-a.stdform[1]*n.Y()},function(){return-a.stdform[2]*n.Z()},function(){return a.stdform[1]*n.Z()}],l)).elType="perpendicular",h.setParents([a.id,n.id]),s.Z.exists(n._is_new)?(h.addChild(n),delete n._is_new):n.addChild(h),a.addChild(h),h},t.Z.createPerpendicularPoint=function(t,e,r){var o,n,a;if(e[0]=t.select(e[0]),e[1]=t.select(e[1]),s.Z.isPointType(t,e[0])&&e[1].elementClass===i.Z.OBJECT_CLASS_LINE)n=s.Z.providePoints(t,[e[0]],r,"point")[0],o=e[1];else{if(!s.Z.isPointType(t,e[1])||e[0].elementClass!==i.Z.OBJECT_CLASS_LINE)throw new Error("JSXGraph: Can't create perpendicular point with parent types '"+typeof e[0]+"' and '"+typeof e[1]+"'.\nPossible parent types: [point,line]");n=s.Z.providePoints(t,[e[1]],r,"point")[0],o=e[0]}return a=t.create("point",[function(){return h.Z.perpendicular(o,n,t)[0]}],r),s.Z.exists(n._is_new)?(a.addChild(n),delete n._is_new):n.addChild(a),o.addChild(a),a.elType="perpendicularpoint",a.setParents([n.id,o.id]),a.update(),a.generatePolynomial=function(){var t=o.point1.symbolic.x,e=o.point1.symbolic.y,i=o.point2.symbolic.x,s=o.point2.symbolic.y,r=n.symbolic.x,h=n.symbolic.y,l=a.symbolic.x,c=a.symbolic.y;return["("+e+")*("+l+")-("+e+")*("+i+")+("+c+")*("+i+")-("+t+")*("+c+")+("+t+")*("+s+")-("+l+")*("+s+")","("+h+")*("+e+")-("+h+")*("+s+")-("+c+")*("+e+")+("+c+")*("+s+")+("+r+")*("+t+")-("+r+")*("+i+")-("+l+")*("+t+")+("+l+")*("+i+")"]},a},t.Z.createPerpendicularSegment=function(e,r,o){var n,a,l,c,d;if(r[0]=e.select(r[0]),r[1]=e.select(r[1]),s.Z.isPointType(e,r[0])&&r[1].elementClass===i.Z.OBJECT_CLASS_LINE)a=r[1],n=s.Z.providePoints(e,[r[0]],o,"point")[0];else{if(!s.Z.isPointType(e,r[1])||r[0].elementClass!==i.Z.OBJECT_CLASS_LINE)throw new Error("JSXGraph: Can't create perpendicular with parent types '"+typeof r[0]+"' and '"+typeof r[1]+"'.\nPossible parent types: [line,point]");a=r[0],n=s.Z.providePoints(e,[r[1]],o,"point")[0]}return d=s.Z.copyAttributes(o,e.options,"perpendicularsegment","point"),(c=t.Z.createPerpendicularPoint(e,[a,n],d)).dump=!1,s.Z.exists(o.layer)||(o.layer=e.options.layer.line),d=s.Z.copyAttributes(o,e.options,"perpendicularsegment"),(l=t.Z.createLine(e,[function(){return h.Z.perpendicular(a,n,e)[1]?[c,n]:[n,c]}],d)).point=c,s.Z.exists(n._is_new)?(l.addChild(n),delete n._is_new):n.addChild(l),a.addChild(l),l.elType="perpendicularsegment",l.setParents([n.id,a.id]),l.subs={point:c},l.inherits.push(c),l},t.Z.createMidpoint=function(t,e,r){var n,a,h,l,c;for(l=0;l<e.length;++l)e[l]=t.select(e[l]);if(2===e.length&&s.Z.isPointType(t,e[0])&&s.Z.isPointType(t,e[1]))e=s.Z.providePoints(t,e,r,"point"),n=e[0],a=e[1];else{if(1!==e.length||e[0].elementClass!==i.Z.OBJECT_CLASS_LINE)throw new Error("JSXGraph: Can't create midpoint.\nPossible parent types: [point,point], [line]");n=e[0].point1,a=e[0].point2}return c=s.Z.copyAttributes(r,t.options,"midpoint"),h=t.create("point",[function(){var t=n.coords.usrCoords[1]+a.coords.usrCoords[1];return isNaN(t)||Math.abs(n.coords.usrCoords[0])<o.Z.eps||Math.abs(a.coords.usrCoords[0])<o.Z.eps?NaN:.5*t},function(){var t=n.coords.usrCoords[2]+a.coords.usrCoords[2];return isNaN(t)||Math.abs(n.coords.usrCoords[0])<o.Z.eps||Math.abs(a.coords.usrCoords[0])<o.Z.eps?NaN:.5*t}],c),s.Z.exists(n._is_new)?(h.addChild(n),delete n._is_new):n.addChild(h),s.Z.exists(a._is_new)?(h.addChild(a),delete a._is_new):a.addChild(h),h.elType="midpoint",h.setParents([n.id,a.id]),h.prepareUpdate().update(),h.generatePolynomial=function(){var t=n.symbolic.x,e=n.symbolic.y,i=a.symbolic.x,s=a.symbolic.y,r=h.symbolic.x,o=h.symbolic.y;return["("+e+")*("+r+")-("+e+")*("+i+")+("+o+")*("+i+")-("+t+")*("+o+")+("+t+")*("+s+")-("+r+")*("+s+")","("+t+")^2 - 2*("+t+")*("+r+")+("+e+")^2-2*("+e+")*("+o+")-("+i+")^2+2*("+i+")*("+r+")-("+s+")^2+2*("+s+")*("+o+")"]},h},t.Z.createParallelPoint=function(t,e,r){var o,n,a,h,l,c;for(l=0;l<e.length;++l)e[l]=t.select(e[l]);if(3===e.length&&s.Z.isPointType(t,e[0])&&s.Z.isPointType(t,e[1])&&s.Z.isPointType(t,e[2]))e=s.Z.providePoints(t,e,r,"point"),o=e[0],n=e[1],a=e[2];else if(s.Z.isPointType(t,e[0])&&e[1].elementClass===i.Z.OBJECT_CLASS_LINE)a=s.Z.providePoints(t,[e[0]],r,"point")[0],o=e[1].point1,n=e[1].point2;else{if(!s.Z.isPointType(t,e[1])||e[0].elementClass!==i.Z.OBJECT_CLASS_LINE)throw new Error("JSXGraph: Can't create parallel point with parent types '"+typeof e[0]+"', '"+typeof e[1]+"' and '"+typeof e[2]+"'.\nPossible parent types: [line,point], [point,point,point]");a=s.Z.providePoints(t,[e[1]],r,"point")[0],o=e[0].point1,n=e[0].point2}return c=s.Z.copyAttributes(r,t.options,"parallelpoint"),h=t.create("point",[function(){return a.coords.usrCoords[1]+n.coords.usrCoords[1]-o.coords.usrCoords[1]},function(){return a.coords.usrCoords[2]+n.coords.usrCoords[2]-o.coords.usrCoords[2]}],c),s.Z.exists(o._is_new)?(h.addChild(o),delete o._is_new):o.addChild(h),s.Z.exists(n._is_new)?(h.addChild(n),delete n._is_new):n.addChild(h),s.Z.exists(a._is_new)?(h.addChild(a),delete a._is_new):a.addChild(h),h.elType="parallelpoint",h.setParents([o.id,n.id,a.id]),h.prepareUpdate().update(),h.generatePolynomial=function(){var t=o.symbolic.x,e=o.symbolic.y,i=n.symbolic.x,s=n.symbolic.y,r=a.symbolic.x,l=a.symbolic.y,c=h.symbolic.x,d=h.symbolic.y;return["("+s+")*("+c+")-("+s+")*("+r+")-("+e+")*("+c+")+("+e+")*("+r+")-("+d+")*("+i+")+("+d+")*("+t+")+("+l+")*("+i+")-("+l+")*("+t+")","("+d+")*("+t+")-("+d+")*("+r+")-("+s+")*("+t+")+("+s+")*("+r+")-("+c+")*("+e+")+("+c+")*("+l+")+("+i+")*("+e+")-("+i+")*("+l+")"]},h},t.Z.createParallel=function(t,e,i){var r,n,a,h,l,c,d=1;for(l=0;l<e.length;++l)e[l]=t.select(e[l]);return r=null,3===e.length?(r=(e=s.Z.providePoints(t,e,i,"point"))[2],d=0):s.Z.isPointType(t,e[0])?(r=s.Z.providePoints(t,[e[0]],i,"point")[0],h=function(){return e[1].stdform}):s.Z.isPointType(t,e[1])&&(r=s.Z.providePoints(t,[e[1]],i,"point")[0],h=function(){return e[0].stdform}),s.Z.exists(i.layer)||(i.layer=t.options.layer.line),c=s.Z.copyAttributes(i,t.options,"parallel","point"),(n=1===d?t.create("point",[function(){return o.Z.crossProduct([1,0,0],h())}],c):t.create("parallelpoint",e,c)).isDraggable=!0,c=s.Z.copyAttributes(i,t.options,"parallel"),(a=t.create("line",[r,n],c)).elType="parallel",a.subs={point:n},a.inherits.push(n),a.setParents([e[0].id,e[1].id]),3===e.length&&a.addParents(e[2].id),a.point=n,a},t.Z.createArrowParallel=function(e,r,o){var n,a;try{return!1===(a=s.Z.copyAttributes(o,e.options,"arrowparallel")).lastArrow&&(a.lastArrow=!0),(n=t.Z.createParallel(e,r,a).setAttribute({straightFirst:!1,straightLast:!1})).type=i.Z.OBJECT_TYPE_VECTOR,n.elType="arrowparallel",n}catch(t){throw new Error("JSXGraph: Can't create arrowparallel with parent types '"+typeof r[0]+"' and '"+typeof r[1]+"'.\nPossible parent types: [line,point], [point,point,point]")}},t.Z.createBisector=function(e,i,r){var o,n,a,l;if(i=s.Z.providePoints(e,i,r,"point"),s.Z.isPoint(i[0])&&s.Z.isPoint(i[1])&&s.Z.isPoint(i[2])){for((l=s.Z.copyAttributes(r,e.options,"bisector","point")).snapToGrid=!1,(o=e.create("point",[function(){return h.Z.angleBisector(i[0],i[1],i[2],e)}],l)).dump=!1,a=0;a<3;a++)s.Z.exists(i[a]._is_new)?(o.addChild(i[a]),delete i[a]._is_new):i[a].addChild(o);return s.Z.exists(r.layer)||(r.layer=e.options.layer.line),l=s.Z.copyAttributes(r,e.options,"bisector"),(n=t.Z.createLine(e,[i[1],o],l)).point=o,n.elType="bisector",n.setParents(i),n.subs={point:o},n.inherits.push(o),n}throw new Error("JSXGraph: Can't create angle bisector with parent types '"+typeof i[0]+"' and '"+typeof i[1]+"'.\nPossible parent types: [point,point,point]")},t.Z.createAngularBisectorsOfTwoLines=function(t,e,r){var n,a,h,l,c=t.select(e[0]),d=t.select(e[1]);if(c.elementClass!==i.Z.OBJECT_CLASS_LINE||d.elementClass!==i.Z.OBJECT_CLASS_LINE)throw new Error("JSXGraph: Can't create angle bisectors of two lines with parent types '"+typeof e[0]+"' and '"+typeof e[1]+"'.\nPossible parent types: [line,line]");return s.Z.exists(r.layer)||(r.layer=t.options.layer.line),h=s.Z.copyAttributes(r,t.options,"bisectorlines","line1"),n=t.create("line",[function(){var t=o.Z.hypot(c.stdform[1],c.stdform[2]),e=o.Z.hypot(d.stdform[1],d.stdform[2]);return c.stdform[0]/t-d.stdform[0]/e},function(){var t=o.Z.hypot(c.stdform[1],c.stdform[2]),e=o.Z.hypot(d.stdform[1],d.stdform[2]);return c.stdform[1]/t-d.stdform[1]/e},function(){var t=o.Z.hypot(c.stdform[1],c.stdform[2]),e=o.Z.hypot(d.stdform[1],d.stdform[2]);return c.stdform[2]/t-d.stdform[2]/e}],h),s.Z.exists(r.layer)||(r.layer=t.options.layer.line),h=s.Z.copyAttributes(r,t.options,"bisectorlines","line2"),a=t.create("line",[function(){var t=o.Z.hypot(c.stdform[1],c.stdform[2]),e=o.Z.hypot(d.stdform[1],d.stdform[2]);return c.stdform[0]/t+d.stdform[0]/e},function(){var t=o.Z.hypot(c.stdform[1],c.stdform[2]),e=o.Z.hypot(d.stdform[1],d.stdform[2]);return c.stdform[1]/t+d.stdform[1]/e},function(){var t=o.Z.hypot(c.stdform[1],c.stdform[2]),e=o.Z.hypot(d.stdform[1],d.stdform[2]);return c.stdform[2]/t+d.stdform[2]/e}],h),l=new T({line1:n,line2:a}),n.dump=!1,a.dump=!1,l.elType="bisectorlines",l.setParents([c.id,d.id]),l.subs={line1:n,line2:a},l},t.Z.createCircumcenter=function(e,i,r){var o,n,a,l,c;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],l=i[1],c=i[2],o=t.Z.createPoint(e,[function(){return h.Z.circumcenter(a,l,c,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=l.symbolic.x,s=l.symbolic.y,r=c.symbolic.x,n=c.symbolic.y,h=o.symbolic.x,d=o.symbolic.y;return[["((",h,")-(",t,"))^2+((",d,")-(",e,"))^2-((",h,")-(",i,"))^2-((",d,")-(",s,"))^2"].join(""),["((",h,")-(",t,"))^2+((",d,")-(",e,"))^2-((",h,")-(",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 n,a,h,l,c;if(!((e=s.Z.providePoints(t,e,r,"point")).length>=3&&s.Z.isPoint(e[0])&&s.Z.isPoint(e[1])&&s.Z.isPoint(e[2])))throw new Error("JSXGraph: Can't create incenter with parent types '"+typeof e[0]+"', '"+typeof e[1]+"' and '"+typeof e[2]+"'.\nPossible parent types: [point,point,point]");for(a=e[0],h=e[1],l=e[2],n=t.create("point",[function(){var e,s,r;return e=o.Z.hypot(h.X()-l.X(),h.Y()-l.Y()),s=o.Z.hypot(a.X()-l.X(),a.Y()-l.Y()),r=o.Z.hypot(h.X()-a.X(),h.Y()-a.Y()),new u.Z(i.Z.COORDS_BY_USER,[(e*a.X()+s*h.X()+r*l.X())/(e+s+r),(e*a.Y()+s*h.Y()+r*l.Y())/(e+s+r)],t)}],r),c=0;c<3;c++)s.Z.exists(e[c]._is_new)?(n.addChild(e[c]),delete e[c]._is_new):e[c].addChild(n);return n.elType="incenter",n.setParents(e),n},t.Z.createCircumcircle=function(e,i,r){var o,n,a,h;if(!1===(i=s.Z.providePoints(e,i,r,"point")))throw new Error("JSXGraph: Can't create circumcircle with parent types '"+typeof i[0]+"', '"+typeof i[1]+"' and '"+typeof i[2]+"'.\nPossible parent types: [point,point,point]");try{for(a=s.Z.copyAttributes(r,e.options,"circumcircle","center"),(o=t.Z.createCircumcenter(e,i,a)).dump=!1,s.Z.exists(r.layer)||(r.layer=e.options.layer.circle),a=s.Z.copyAttributes(r,e.options,"circumcircle"),(n=t.Z.createCircle(e,[o,i[0]],a)).elType="circumcircle",n.setParents(i),n.subs={center:o},n.inherits.push(n),h=0;h<3;h++)s.Z.exists(i[h]._is_new)?(n.addChild(i[h]),delete i[h]._is_new):i[h].addChild(n)}catch(t){throw new Error("JSXGraph: Can't create circumcircle with parent types '"+typeof i[0]+"', '"+typeof i[1]+"' and '"+typeof i[2]+"'.\nPossible parent types: [point,point,point]")}return n},t.Z.createIncircle=function(e,i,r){var n,a,h,l;if(!1===(i=s.Z.providePoints(e,i,r,"point")))throw new Error("JSXGraph: Can't create circumcircle with parent types '"+typeof i[0]+"', '"+typeof i[1]+"' and '"+typeof i[2]+"'.\nPossible parent types: [point,point,point]");try{for(l=s.Z.copyAttributes(r,e.options,"incircle","center"),(a=t.Z.createIncenter(e,i,l)).dump=!1,s.Z.exists(r.layer)||(r.layer=e.options.layer.circle),l=s.Z.copyAttributes(r,e.options,"incircle"),(h=t.Z.createCircle(e,[a,function(){var t=o.Z.hypot(i[1].X()-i[2].X(),i[1].Y()-i[2].Y()),e=o.Z.hypot(i[0].X()-i[2].X(),i[0].Y()-i[2].Y()),s=o.Z.hypot(i[1].X()-i[0].X(),i[1].Y()-i[0].Y()),r=(t+e+s)/2;return Math.sqrt((r-t)*(r-e)*(r-s)/r)}],l)).elType="incircle",h.setParents(i),n=0;n<3;n++)s.Z.exists(i[n]._is_new)?(h.addChild(i[n]),delete i[n]._is_new):i[n].addChild(h);h.center=a,h.subs={center:h.center},h.inherits.push(a)}catch(t){throw new Error("JSXGraph: Can't create circumcircle with parent types '"+typeof i[0]+"', '"+typeof i[1]+"' and '"+typeof i[2]+"'.\nPossible parent types: [point,point,point]")}return h},t.Z.createReflection=function(e,r,o){var n,a,h,l,c,d,u,p,f="\nPossible parent types: [point|line|curve|polygon|circle|arc|sector, 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 if(a.elementClass===i.Z.OBJECT_CLASS_LINE)h=t.Z.createLine(e,[a,c],u);else if(a.type===i.Z.OBJECT_TYPE_POLYGON)h=t.Z.createPolygon(e,[a,c],u);else{if(a.elementClass!==i.Z.OBJECT_CLASS_CIRCLE)throw new Error("JSXGraph: Can't create reflected element with parent types '"+typeof r[0]+"' and '"+typeof r[1]+"'."+f);"euclidean"===u.type.toLowerCase()?(p=s.Z.copyAttributes(o,e.options,"reflection","center"),(l=t.Z.createPoint(e,[a.center,c],p)).prepareUpdate().update().updateVisibility(l.evalVisProp("visible")).updateRenderer(),h=t.Z.createCircle(e,[l,function(){return a.Radius()}],u)):h=t.Z.createCircle(e,[a,c],u)}return s.Z.exists(a._is_new)&&(h.addChild(a),delete a._is_new),n.addChild(h),h.elType="reflection",h.addParents(n),h.prepareUpdate().update(),s.Z.isPoint(h)&&(h.generatePolynomial=function(){var 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t,e,i,r,n,a,c,d,u,g,v,Z,C,y,P,E,x,O,w,M=this.board.getBoundingBox(),S=[],T=[],N=this.evalVisProp("minorelements"),A=this.evalVisProp("size"),D=this.evalVisProp("face"),k=this.evalVisProp("drawzero"),R=!0===k||s.Z.isObject(k)&&!0===this.eval(k.x),L=!0===k||s.Z.isObject(k)&&!0===this.eval(k.y),B=this.majorGrid.evalVisProp("face"),I=this.majorGrid.evalVisProp("drawzero"),j=!0===I||s.Z.isObject(I)&&!0===this.eval(I.origin),Y=!0===I||s.Z.isObject(I)&&!0===this.eval(I.x),V=!0===I||s.Z.isObject(I)&&!0===this.eval(I.y),X=this.evalVisProp("includeboundaries");if(this.dataX=[],this.dataY=[],s.Z.isArray(N)||(N=[N,N]),N.length<2&&(N=[N[0],N[0]]),s.Z.isNumber(N[0],!0)?N[0]=parseFloat(N[0]):(N[0]=3,s.Z.exists(l[0])&&(N[0]=l[0].eval(l[0].getAttribute("ticks").minorticks))),S[0]=p[0]/(N[0]+1),s.Z.isNumber(N[1],!0)?N[1]=parseFloat(N[1]):(N[1]=3,s.Z.exists(l[1])&&(N[1]=l[1].eval(l[1].getAttribute("ticks").minorticks))),S[1]=p[1]/(N[1]+1),s.Z.isArray(A)||(A=[A,A]),A.length<2&&(A=[A[0],A[0]]),s.Z.isNumber(A[0],!0)&&(A[0]=A[0]+"px"),s.Z.isNumber(A[1],!0)&&(A[1]=A[1]+"px"),A[0]=s.Z.parseNumber(A[0],S[0],1/this.board.unitX),A[1]=s.Z.parseNumber(A[1],S[1],1/this.board.unitY),T[0]=.5*A[0],T[1]=.5*A[1],t=o.Z.roundToStep(M[0],S[0]),e=o.Z.roundToStep(M[1],S[1]),c=isFinite(t)&&isFinite(e)&&isFinite(M[2])&&isFinite(M[3])&&Math.abs(M[2])<=Math.abs(S[0]*m)&&Math.abs(M[3])<Math.abs(S[1]*m),"line"!==D.toLowerCase())for(r=e;c&&r>=M[3];r-=S[1])for(i=t;c&&i<=M[2];i+=S[0]){if(d=o.Z.roundToStep(Math.abs(i),p[0]),d=Math.abs(d-Math.abs(i)),u=p[0]-d,g=o.Z.roundToStep(Math.abs(r),p[1]),g=Math.abs(g-Math.abs(r)),v=p[1]-g,"line"===B){if(d-T[0]-b[0]<_||u-T[0]-b[0]<_||g-T[1]-b[1]<_||v-T[1]-b[1]<_)continue}else 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if((d-T[0]-b[0]<_||u-T[0]-b[0]<_)&&(j||b[0]-Math.abs(i)+T[0]<_)&&(Y||b[0]+Math.abs(i)-T[0]<_)&&(V||b[0]-Math.abs(i)+T[0]<_))continue;!L&&Math.abs(i)<_||(Z=Math.abs(M[0]%p[0]),C=Math.abs(M[1]%p[1]),y=Math.abs(M[2]%p[0]),P=Math.abs(M[3]%p[1]),E=p[0]-Z,x=p[1]-C,O=p[0]-y,w=p[1]-P,!X&&(i-T[0]-M[0]-b[0]+E<_&&E-b[0]<_||i-T[0]-M[0]-b[0]-Z<_&&Z-b[0]<_||-i-T[0]+M[2]-b[0]+O<_&&O-b[0]<_||-i-T[0]+M[2]-b[0]-y<_&&y-b[0]<_||i-T[0]-M[0]<_||-i-T[0]+M[2]<_)||(a=[[i,i,NaN],[M[1]+n/h.board.unitY,M[3]-n/h.board.unitY,NaN]],s.Z.concat(this.dataX,a[0]),s.Z.concat(this.dataY,a[1])))}}},e.grids.push(a),e.grids.push(h),h.dump=!1,a.getParents=h.getParents=function(){return l.slice()},a},t.Z.registerElement("grid",t.Z.createGrid);var U=__webpack_require__(573);t.Z.Image=function(e,r,o,n,a){this.constructor(e,o,i.Z.OBJECT_TYPE_IMAGE,i.Z.OBJECT_CLASS_OTHER),this.element=this.board.select(o.anchor),this.coordsConstructor(r),this.W=s.Z.createFunction(a[0],this.board,""),this.H=s.Z.createFunction(a[1],this.board,""),this.addParentsFromJCFunctions([this.W,this.H]),this.usrSize=[this.W(),this.H()],this.size=[Math.abs(this.usrSize[0]*e.unitX),Math.abs(this.usrSize[1]*e.unitY)],this.url=n,this.elType="image",this.span=[this.coords.usrCoords.slice(0),[this.coords.usrCoords[0],this.W(),0],[this.coords.usrCoords[0],0,this.H()]],this.id=this.board.setId(this,"Im"),this.board.renderer.drawImage(this),this.board.finalizeAdding(this),this.methodMap=t.Z.deepCopy(this.methodMap,{addTransformation:"addTransform",trans:"addTransform",W:"W",Width:"W",H:"H",Height:"H",setSize:"setSize"})},t.Z.Image.prototype=new I.Z,s.Z.copyPrototypeMethods(t.Z.Image,j.Z,"coordsConstructor"),t.Z.extend(t.Z.Image.prototype,{hasPoint:function(t,e){var r,n,a,h,l,c,d,p,f,_=this.transformations.length;return s.Z.isObject(this.evalVisProp("precision"))?(h=this.board._inputDevice,l=this.evalVisProp("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):(d=[(c=(c=new u.Z(i.Z.COORDS_BY_SCREEN,[t,e],this.board)).usrCoords)[0]-this.span[0][0],c[1]-this.span[0][1],c[2]-this.span[0][2]],0<=(p=(f=o.Z.innerProduct)(d,this.span[1]))&&p<=f(this.span[1],this.span[1])&&0<=(p=f(d,this.span[2]))&&p<=f(this.span[2],this.span[2]))},update:function(t){return this.needsUpdate?(this.updateCoords(t),this.updateSize(),this.updateSpan(),this):this},updateRenderer:function(){return this.updateRendererGeneric("updateImage")},updateSize:function(){return 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 this.W=s.Z.createFunction(t,this.board,""),this.H=s.Z.createFunction(e,this.board,""),this.addParentsFromJCFunctions([this.W,this.H]),this},W:function(){},H:function(){}}),t.Z.createImage=function(e,i,r){var o,n,a=i[0],h=i[1],l=i[2];if(o=s.Z.copyAttributes(r,e.options,"image"),!(n=j.Z.create(t.Z.Image,e,h,o,a,l)))throw new Error("JSXGraph: Can't create image with parent types '"+typeof i[0]+"' and '"+typeof i[1]+"'.\nPossible parent types: [x,y], [z,x,y], [element,transformation]");return 0!==o.rotate&&n.addRotation(o.rotate),n},t.Z.registerElement("image",t.Z.createImage);t.Z.Image;t.Z.createSlider=function(t,e,r){var n,a,h,l,c,d,p,f,_,m,g,b,v,Z,C,y,P,E,x,O,w,M,S;return P=(S=s.Z.copyAttributes(r,t.options,"slider")).withticks,y=S.withlabel,O=S.snapwidth,E=S.snapvalues,x=S.snapvaluedistance,p=t.create("point",e[0],S.point1),f=t.create("point",e[1],S.point2),(m=t.create("segment",[p,f],S.baseline)).updateStdform(),n=p.coords.usrCoords.slice(1),a=f.coords.usrCoords.slice(1),h=e[2][0],l=e[2][1],c=e[2][2],d=c-h,M=-1===(w=s.Z.evaluate(O))?l:Math.round((l-h)/w)*w+h,Z=n[0]+(a[0]-n[0])*(M-h)/(c-h),C=n[1]+(a[1]-n[1])*(M-h)/(c-h),S.withlabel=!1,(_=t.create("glider",[Z,C,m],S)).setAttribute({snapwidth:O,snapvalues:E,snapvaluedistance:x}),g=t.create("segment",[p,_],S.highline),_.Value=function(){var t=this._smax-this._smin,e=this.evalVisProp("snapwidth");return-1===e?this.position*t+this._smin:Math.round(this.position*t/e)*e+this._smin},_.methodMap=s.Z.deepCopy(_.methodMap,{Value:"Value",setValue:"setValue",smax:"_smax",smin:"_smin",setMax:"setMax",setMin:"setMin",point1:"point1",point2:"point2",baseline:"baseline",highline:"highline",ticks:"ticks",label:"label"}),_._smax=c,_._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&&(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=_.evalVisProp("digits"),i=_.evalVisProp("suffixlabel"),r=_.evalVisProp("unitlabel"),o=_.evalVisProp("postlabel");return 2===e&&2!==_.evalVisProp("precision")&&(e=_.evalVisProp("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),_.label=v,_.visProp.withlabel=!0,_.hasLabel=!0),_.point1=p,_.point2=f,_.baseline=m,_.highline=g,P&&(s.Z.exists(S.generatelabeltext)||(S.ticks.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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"+l+")");for(c=[],d=[],a=0;a<l;a++)c[a]=r[0][a],d[a]=c[a];for(n=1;n<H;n++)for(a=0;a<l;a++)r[n][a]>c[a]&&(c[a]=r[n][a]),r[n][a]<d[a]&&(d[a]=r[n][a]);for(p=[],f=[],n=0;n<H;n++)p[n]="",f[n]=[];for(_=[],m=[],g=o.startshiftratio||0,b=o.endshiftratio||0,n=0;n<l;n++)_[n]=(c[n]-d[n])*g,m[n]=(c[n]-d[n])*b;if(v=o.startshiftarray||_,Z=o.endshiftarray||m,C=o.startarray||d,s.Z.exists(o.start))for(n=0;n<l;n++)C[n]=o.start;if(y=o.endarray||c,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,x=o.radius||10,G=o.strokewidth||1,s.Z.exists(o.highlightonsector)||(o.highlightonsector=!1),O={name:o.name,id:o.id,strokewidth:G,polystrokewidth:o.polystrokewidth||G,strokecolor:o.strokecolor||"black",straightfirst:!1,straightlast:!1,fillcolor:o.fillColor||"#FFFF88",fillopacity:o.fillOpacity||.4,highlightfillcolor:o.highlightFillColor||"#FF7400",highlightstrokecolor:o.highlightStrokeColor||"black",gradient:o.gradient||"none"},M=(w=o.center||[0,0])[0],S=w[1],T=e.create("point",[M,S],{name:"",fixed:!0,withlabel:!1,visible:!1}),Math.PI/2-Math.PI/l,A=N=o.startangle||0,D=[],k=[],n=0;n<l;n++)for(A+=2*Math.PI/l,L=x*Math.cos(A)+M,B=x*Math.sin(A)+S,D[n]=e.create("point",[L,B],{name:"",fixed:!0,withlabel:!1,visible:!1}),k[n]=e.create("line",[T,D[n]],{name:h[n],strokeColor:O.strokecolor,strokeWidth:O.strokewidth,strokeOpacity:1,straightFirst:!1,straightLast:!1,withLabel:!0,highlightStrokeColor:O.highlightstrokecolor}),k[n].getLabelAnchor=K,R=$(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],R);for(I=[],n=0;n<H;n++)for(O.labelcolor=E&&E[n%E.length],O.strokecolor=E&&E[n%E.length],O.fillcolor=E&&E[n%E.length],I[n]=e.create("polygon",f[n],{withLines:!0,withLabel:!1,fillColor:O.fillcolor,fillOpacity:O.fillopacity,highlightFillColor:O.highlightfillcolor}),a=0;a<l;a++)I[n].borders[a].setAttribute("strokecolor:"+E[n%E.length]),I[n].borders[a].setAttribute("strokewidth:"+O.polystrokewidth);switch(o.legendposition||"none"){case"right":Y=o.legendleftoffset||2,V=o.legendtopoffset||1,this.legend=e.create("legend",[M+x+Y,S+x-V],{labels:P,colors:E});break;case"none":break;default:t.Z.debug("Unknown legend position")}if(j=[],o.showcircles){for(X=[],n=0;n<6;n++)X[n]=20*n;if(X[0]="0",(F=(U=o.circlelabelarray||X).length)<2)throw new Error("JSXGraph radar chart: too less circles in circleLabelArray");for(z=[],R=$(N+Math.PI/l,0),O.fillcolor="none",O.highlightfillcolor="none",O.strokecolor=o.strokecolor||"black",O.strokewidth=o.circlestrokewidth||.5,O.layer=0,J=(y[0]-C[0])/(F-1),n=0;n<F;n++)z[n]=e.create("point",[C[0]+n*J,0],{name:U[n],size:0,fixed:!0,withLabel:!0,visible:!0}),z[n].addTransform(z[n],R),j[n]=e.create("circle",[T,z[n]],O)}return this.rendNode=I[0].rendNode,{circles:j,lines:k,points:f,midpoint:T,polygons:I}},updateRenderer:function(){return this},update:function(){return this.needsUpdate&&this.updateDataArray(),this},updateDataArray:function(){return this}}),t.Z.createChart=function(i,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 z).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=S.Z.hsv2rgb((h+1)/C*360,.9,.6),b&&b.length===C?f.fillcolor=b[h]:f.fillcolor=S.Z.hsv2rgb((h+1)/C*360,.9,1),v&&v.length===C?f.highlightstrokecolor=v[h]:f.highlightstrokecolor=S.Z.hsv2rgb((h+1)/C*360,.9,1),Z&&Z.length===C?f.highlightfillcolor=Z[h]:f.highlightfillcolor=S.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 u.Z(i.Z.COORDS_BY_USER,e,this.board),this.myAtts={},this.label_array=o.labelarray||o.labels,this.color_array=o.colorarray||o.colors,this.opacy_array=o.strokeopacity||[1],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.myAtts.frozen=o.frozen||!1,this.style=o.legendstyle||o.style,"vertical"!==this.style)throw new Error("JSXGraph: Unknown legend style: "+this.style);this.drawVerticalLegend(t,o),this.id=this.board.setId(this,"Leg")},t.Z.Legend.prototype=new I.Z,t.Z.Legend.prototype.drawVerticalLegend=function(t,e){var s,r=e.linelength||1,o=(e.rowheight||20)/this.board.unitY,n=function(){return this.setLabelRelativeCoords(this.visProp.label.offset),new u.Z(i.Z.COORDS_BY_USER,[this.point2.X(),this.point2.Y()],this.board)};for(s=0;s<this.label_array.length;s++)this.myAtts.name=this.label_array[s],this.myAtts.strokecolor=this.color_array[s%this.color_array.length],this.myAtts.highlightstrokecolor=this.color_array[s%this.color_array.length],this.myAtts.strokeopacity=this.opacy_array[s%this.opacy_array.length],this.myAtts.highlightstrokeopacity=this.opacy_array[s%this.opacy_array.length],this.myAtts.label={offset:[10,0],strokeColor:this.color_array[s%this.color_array.length],strokeWidth:this.myAtts.strokewidth},this.lines[s]=t.create("line",[[this.coords.usrCoords[1],this.coords.usrCoords[2]-s*o],[this.coords.usrCoords[1]+r,this.coords.usrCoords[2]-s*o]],this.myAtts),this.myAtts.frozen&&this.lines[s].setAttribute({point1:{frozen:!0},point2:{frozen:!0}}),this.lines[s].getLabelAnchor=n,this.lines[s].prepareUpdate().update().updateVisibility(this.lines[s].evalVisProp("visible")).updateRenderer(),this.addChild(this.lines[s])},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,r){this.elementClass=i.Z.OBJECT_CLASS_OTHER,this.type=i.Z.OBJECT_TYPE_TRANSFORMATION,r?(this.is3D=!0,this.matrix=[[1,0,0,0],[0,1,0,0],[0,0,1,0],[0,0,0,1]]):(this.is3D=!1,this.matrix=[[1,0,0],[0,1,0],[0,0,1]]),this.board=t,this.isNumericMatrix=!1,this.is3D?this.setMatrix3D(s[0],e,s.slice(1)):this.setMatrix(t,e,s),this.methodMap={apply:"apply",applyOnce:"applyOnce",bindTo:"bindTo",bind:"bindTo",melt:"melt",meltTo:"meltTo"}},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)}}else if("matrix"===e){if(1!==i.length)throw new Error("JSXGraph: transformation of type 'matrix' needs 1 parameter.");this.evalParam=i[0].slice(),this.update=function(){var t,e;for(t=0;t<3;t++)for(e=0;e<3;e++)this.matrix[t][e]=s.Z.evaluate(this.evalParam[t][e])}}},setMatrix3D:function(t,e,i){var r,n=t.board;for(this.isNumericMatrix=!0,r=0;r<i.length;r++)if("number"!=typeof i[r]){this.isNumericMatrix=!1;break}if("translate"===e){if(3!==i.length)throw new Error("JSXGraph: 3D translate transformation needs 3 parameters.");this.evalParam=s.Z.createEvalFunction(n,i,3),this.update=function(){this.matrix[1][0]=this.evalParam(0),this.matrix[2][0]=this.evalParam(1),this.matrix[3][0]=this.evalParam(2)}}else if("scale"===e){if(3!==i.length&&4!==i.length)throw new Error("JSXGraph: 3D scale transformation needs either 3 or 4 parameters.");this.evalParam=s.Z.createEvalFunction(n,i,3),this.update=function(){var t=this.evalParam(0),e=this.evalParam(1),i=this.evalParam(2);this.matrix[1][1]=t,this.matrix[2][2]=e,this.matrix[3][3]=i}}else if("rotateX"===e)i.splice(1,0,[1,0,0]),this.setMatrix3D(t,"rotate",i);else if("rotateY"===e)i.splice(1,0,[0,1,0]),this.setMatrix3D(t,"rotate",i);else if("rotateZ"===e)i.splice(1,0,[0,0,1]),this.setMatrix3D(t,"rotate",i);else if("rotate"===e){if(i.length<2)throw new Error("JSXGraph: 3D rotate transformation needs 2 or 3 parameters.");3!==i.length||s.Z.isFunction(i[2])||s.Z.isArray(i[2])?this.evalParam=s.Z.createEvalFunction(n,i,i.length):(this.evalParam=s.Z.createEvalFunction(n,i,2),i[2]=t.select(i[2])),this.update=function(){var t,e,r,n=this.evalParam(0),a=this.evalParam(1),h=[1,0,0,0],l=Math.cos(n),c=Math.sin(n),d=[[1,0,0,0],[0,1,0,0],[0,0,1,0],[0,0,0,1]],u=[[1,0,0,0],[0,1,0,0],[0,0,1,0],[0,0,0,1]],p=o.Z.norm(a);3===a.length?(t=a[0]/p,e=a[1]/p,r=a[2]/p):(t=a[1]/p,e=a[2]/p,r=a[3]/p),3===i.length&&(3===(h=3===i.length&&s.Z.exists(i[2].is3D)?i[2].coords.slice():this.evalParam(2)).length&&h.unshift(1),d[1][0]=-h[1],d[2][0]=-h[2],d[3][0]=-h[3],u[1][0]=h[1],u[2][0]=h[2],u[3][0]=h[3]),this.matrix=[[1,0,0,0],[0,t*t*(1-l)+l,t*e*(1-l)-r*c,t*r*(1-l)+e*c],[0,e*t*(1-l)+r*c,e*e*(1-l)+l,e*r*(1-l)-t*c],[0,r*t*(1-l)-e*c,r*e*(1-l)+t*c,r*r*(1-l)+l]],this.matrix=o.Z.matMatMult(this.matrix,d),this.matrix=o.Z.matMatMult(u,this.matrix)}}},apply:function(t,e){var i;return this.update(),i=this.is3D?t.coords:s.Z.exists(e)?t.initialCoords.usrCoords:t.coords.usrCoords,o.Z.matVecMult(this.matrix,i)},applyOnce:function(t){var e,r,n;for(s.Z.isArray(t)||(t=[t]),r=t.length,n=0;n<r;n++)this.update(),this.is3D?t[n].coords=o.Z.matVecMult(this.matrix,t[n].coords):(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)},meltTo:function(t){var e,i,r;if(s.Z.isArray(t))for(e=0;e<t.length;e++)this.meltTo(t[e]);else(i=t.transformations).length>0&&i[i.length-1].isNumericMatrix&&this.isNumericMatrix?i[i.length-1].melt(this):(r=this.clone(),i.push(r))},clone:function(){var e=null;return this.isNumericMatrix&&((e=new t.Z.Transformation(this.board,"none",[])).matrix=this.matrix.slice()),e},setProperty:function(e){t.Z.deprecated("Transformation.setProperty()","Transformation.setAttribute()")},setAttribute:function(t){},melt:function(t){var e;return this.update(),t.update(),e=o.Z.matMatMult(t.matrix,this.matrix),this.update=function(){this.matrix=e},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.createTransform3D=function(e,i,s){return new t.Z.Transformation(e,s.type,i,!0)},t.Z.registerElement("transform3d",t.Z.createTransform3D);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",up:"penUp",penDown:"penDown",pd:"penDown",down:"penDown",clearScreen:"clearScreen",cs:"clearScreen",clean:"clean",setPos:"setPos",home:"home",hideTurtle:"hideTurtle",ht:"hideTurtle",hide:"hideTurtle",showTurtle:"showTurtle",st:"showTurtle",show:"showTurtle",penSize:"setPenSize",setPenSize:"setPenSize",penColor:"setPenColor",setPenColor:"setPenColor",highlightPenColor:"setHighlightPenColor",setHighlightPenColor:"setHighlightPenColor",getPenColor:"getPenColor",Color:"getPenColor",getHighlightPenColor:"getHighlightPenColor",HighlightColor:"getHighlightPenColor",getPenSize:"getPenSize",Size:"getPenSize",pushTurtle:"pushTurtle",push:"pushTurtle",popTurtle:"popTurtle",pop:"popTurtle",lookTo:"lookTo",pos:"pos",Pos:"pos",moveTo:"moveTo",X:"X",Y:"Y"}),this},t.Z.Turtle.prototype=new I.Z,t.Z.extend(t.Z.Turtle.prototype,{init:function(t,e,i){var s={fixed:!0,name:"",visible:!1,withLabel:!1};this.arrowLen=20/o.Z.hypot(this.board.unitX,this.board.unitY),this.pos=[t,e],this.isPenDown=!0,this.dir=90,this.stack=[],this.objects=[],this.curve=this.board.create("curve",[[this.pos[0]],[this.pos[1]]],this._attributes),this.objects.push(this.curve),this.turtle=this.board.create("point",this.pos,s),this.objects.push(this.turtle),this.turtle2=this.board.create("point",[this.pos[0],this.pos[1]+this.arrowLen],s),this.objects.push(this.turtle2),this.visProp.arrow.lastArrow=!0,this.visProp.arrow.straightFirst=!1,this.visProp.arrow.straightLast=!1,this.arrow=this.board.create("line",[this.turtle,this.turtle2],this.visProp.arrow),this.objects.push(this.arrow),this.subs={arrow:this.arrow},this.inherits.push(this.arrow),this.right(90-i),this.board.update()},forward:function(t){if(0===t)return this;var e,i=t*Math.cos(this.dir*Math.PI/180),s=t*Math.sin(this.dir*Math.PI/180);return this.turtleIsHidden||((e=this.board.create("transform",[i,s],{type:"translate"})).applyOnce(this.turtle),e.applyOnce(this.turtle2)),this.isPenDown&&this.curve.dataX.length>=8192&&(this.curve=this.board.create("curve",[[this.pos[0]],[this.pos[1]]],this._attributes),this.objects.push(this.curve)),this.pos[0]+=i,this.pos[1]+=s,this.isPenDown&&(this.curve.dataX.push(this.pos[0]),this.curve.dataY.push(this.pos[1])),this.board.update(),this},back:function(t){return this.forward(-t)},right:function(t){(this.dir-=t,this.dir%=360,this.turtleIsHidden)||this.board.create("transform",[-t*Math.PI/180,this.turtle],{type:"rotate"}).applyOnce(this.turtle2);return this.board.update(),this},left:function(t){return this.right(-t)},penUp:function(){return this.isPenDown=!1,this},penDown:function(){return this.isPenDown=!0,this.curve=this.board.create("curve",[[this.pos[0]],[this.pos[1]]],this._attributes),this.objects.push(this.curve),this},clean:function(){var t,e;for(t=0;t<this.objects.length;t++)(e=this.objects[t]).type===i.Z.OBJECT_TYPE_CURVE&&(this.board.removeObject(e),this.objects.splice(t,1));return this.curve=this.board.create("curve",[[this.pos[0]],[this.pos[1]]],this._attributes),this.objects.push(this.curve),this.board.update(),this},clearScreen:function(){return this.board.removeObject(this.objects),this.objects=[],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,this.objects[e].evalVisProp(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 I.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(!this.line.evalVisProp("scalable")||this.line.elementClass===i.Z.OBJECT_CLASS_CURVE)return!1;if(s.Z.isObject(this.evalVisProp("precision"))?(h=this.board._inputDevice,a=this.evalVisProp("precision."+h)):a=this.board.options.precision.hasPoint,a+=.5*this.evalVisProp("strokewidth"),0!==this.line.stdform[1]&&0!==this.line.stdform[2]&&this.line.type!==i.Z.OBJECT_TYPE_AXIS)return!1;for(r=0;r<l;r++)if((n=this.ticks[r])[2]&&!(0===this.line.stdform[1]&&Math.abs(n[0][0]-this.line.point1.coords.scrCoords[1])<o.Z.eps||0===this.line.stdform[2]&&Math.abs(n[1][0]-this.line.point1.coords.scrCoords[2])<o.Z.eps)&&(Math.abs(n[0][0]-n[0][1])>=1||Math.abs(n[1][0]-n[1][1])>=1))if(0===this.line.stdform[1]){if(Math.abs(e-this.line.point1.coords.scrCoords[2])<2*a&&n[0][0]-a<t&&t<n[0][1]+a)return!0}else if(0===this.line.stdform[2]&&Math.abs(t-this.line.point1.coords.scrCoords[1])<2*a&&n[1][0]-a<e&&e<n[1][1]+a)return!0;return!1},setPositionDirectly:function(t,e,s){var r,n,a=new u.Z(t,e,this.board),h=new u.Z(t,s,this.board),l=this.board.getBoundingBox();return this.line.type===i.Z.OBJECT_TYPE_AXIS&&this.line.evalVisProp("scalable")?(Math.abs(this.line.stdform[1])<o.Z.eps&&Math.abs(a.usrCoords[1]*h.usrCoords[1])>o.Z.eps?(r=h.usrCoords[1]/a.usrCoords[1],l[0]*=r,l[2]*=r,this.board.setBoundingBox(l,this.board.keepaspectratio,"update")):Math.abs(this.line.stdform[2])<o.Z.eps&&Math.abs(a.usrCoords[2]*h.usrCoords[2])>o.Z.eps&&(n=h.usrCoords[2]/a.usrCoords[2],l[3]*=n,l[1]*=n,this.board.setBoundingBox(l,this.board.keepaspectratio,"update")),this):this},calculateTicksCoordinates:function(){var t,e,s,r;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"===this.evalVisProp("type")&&(r=this.board.getBoundingBox(),s=Math.max(o.Z.hypot(r[0],r[1]),o.Z.hypot(r[2],r[3])),e.upper=s),this.ticks=[],this.labelsData=[],this.equidistant?this.generateEquidistantTicks(t,e):this.generateFixedTicks(t,e),this},setTicksSizeVariables:function(t){var e,i,r,n,a=.5*this.evalVisProp("majorheight"),h=.5*this.evalVisProp("minorheight");s.Z.exists(t)?(i=this.line.minX(),r=this.line.maxX(),(n=this.line.points.length)<2?(this.dxMaj=0,this.dyMaj=0):o.Z.relDif(t,i)<o.Z.eps?(this.dxMaj=this.line.points[0].usrCoords[2]-this.line.points[1].usrCoords[2],this.dyMaj=this.line.points[1].usrCoords[1]-this.line.points[0].usrCoords[1]):o.Z.relDif(t,r)<o.Z.eps?(this.dxMaj=this.line.points[n-2].usrCoords[2]-this.line.points[n-1].usrCoords[2],this.dyMaj=this.line.points[n-1].usrCoords[1]-this.line.points[n-2].usrCoords[1]):(this.dxMaj=-d.Z.D(this.line.Y)(t),this.dyMaj=d.Z.D(this.line.X)(t))):(this.dxMaj=this.line.stdform[1],this.dyMaj=this.line.stdform[2]),this.dxMin=this.dxMaj,this.dyMin=this.dyMaj,this.dx=this.dxMaj,this.dy=this.dyMaj,e=o.Z.hypot(this.dxMaj*this.board.unitX,this.dyMaj*this.board.unitY),this.dxMaj*=a/e*this.board.unitX,this.dyMaj*=a/e*this.board.unitY,this.dxMin*=h/e*this.board.unitX,this.dyMin*=h/e*this.board.unitY,this.minStyle=this.evalVisProp("minorheight")<0?"infinite":"finite",this.majStyle=this.evalVisProp("majorheight")<0?"infinite":"finite"},getZeroCoordinates:function(){var t,e,r,o,n,a,l,c,d=this.evalVisProp("anchor");return this.line.elementClass===i.Z.OBJECT_CLASS_LINE?this.line.type===i.Z.OBJECT_TYPE_AXIS?h.Z.projectPointToLine({coords:{usrCoords:[1,0,0]}},this.line,this.board):(r=this.line.point1.coords.usrCoords[0],t=this.line.point1.coords.usrCoords[1],e=this.line.point1.coords.usrCoords[2],a=this.line.point2.coords.usrCoords[0],o=this.line.point2.coords.usrCoords[1],n=this.line.point2.coords.usrCoords[2],"right"===d?this.line.point2.coords:"middle"===d?new u.Z(i.Z.COORDS_BY_USER,[.5*(r+a),.5*(t+o),.5*(e+n)],this.board):s.Z.isNumber(d)?new u.Z(i.Z.COORDS_BY_USER,[r+(a-r)*d,t+(o-t)*d,e+(n-e)*d],this.board):this.line.point1.coords):(l=this.line.minX(),c=this.line.maxX(),"right"===d?c:"middle"===d?.5*(l+c):s.Z.isNumber(d)?l*(1-d)+c*d:l)},getLowerAndUpperBounds:function(t,e){var r,n,a,l,c,d,p,f,_,m,g,b,v,Z,C,y=10*o.Z.eps,P=this.line.evalVisProp("straightfirst"),E=this.line.evalVisProp("straightlast"),x=this.evalVisProp("includeboundaries");return this.line.elementClass===i.Z.OBJECT_CLASS_CURVE?{lower:this.line.minX(),upper:this.line.maxX()}:(c=new u.Z(i.Z.COORDS_BY_USER,this.line.point1.coords.usrCoords,this.board),d=new u.Z(i.Z.COORDS_BY_USER,this.line.point2.coords.usrCoords,this.board),p=Math.abs(c.usrCoords[0])>=o.Z.eps&&c.scrCoords[1]>=0&&c.scrCoords[1]<=this.board.canvasWidth&&c.scrCoords[2]>=0&&c.scrCoords[2]<=this.board.canvasHeight,f=Math.abs(d.usrCoords[0])>=o.Z.eps&&d.scrCoords[1]>=0&&d.scrCoords[1]<=this.board.canvasWidth&&d.scrCoords[2]>=0&&d.scrCoords[2]<=this.board.canvasHeight,s.Z.exists(e)&&"ticksdistance"===e?(h.Z.calcStraight(this.line,c,d,0),Z=this.getDistanceFromZero(t,c),C=this.getDistanceFromZero(t,d),h.Z.calcStraight(this.line,c,d,this.line.evalVisProp("margin")),Z=this.getDistanceFromZero(t,c)-Z,C=this.getDistanceFromZero(t,d).m2):h.Z.calcLineDelimitingPoints(this.line,c,d),a=this.line.evalVisProp("firstarrow"),l=this.line.evalVisProp("lastarrow"),b=this.getDistanceFromZero(t,c),v=this.getDistanceFromZero(t,d),(a||l)&&(g=this.board.renderer.getArrowHeadData(this.line,this.line.evalVisProp("strokewidth"),""),this.board.renderer.getPositionArrowHead(this.line,c,d,g)),(_=this.getDistanceFromZero(t,c))<(m=this.getDistanceFromZero(t,d))?(r=_,n=m,P||!p||x||(r+=y),E||!f||x||(n-=y)):m<_?(r=m,n=_,E||!f||x||(r+=y),P||!p||x||(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(e,s){var r,n,a,h=o.Z.eps,l=this.evalVisProp("minorticks");if(a=this.getDistanceMajorTicks(),this.line.elementClass===i.Z.OBJECT_CLASS_LINE&&(n=this.getXandYdeltas()),a*=this.evalVisProp("scale"),a/=l+1,this.ticksDelta=a,!(a<o.Z.eps))if(Math.abs(s.upper-s.lower)>2048*a)t.Z.warn("JSXGraph ticks: too many ticks (>2048). Please increase ticksDistance.");else{for(r=0,this.evalVisProp("drawzero")||(r=a),r<s.lower&&(r=Math.floor((s.lower-h)/a)*a);r<=s.upper+h&&(r>=s.lower-h&&this.processTickPosition(e,r,a,n),r+=a,!(s.upper-r>1e4*a)););for((r=-a)>s.upper&&(r=Math.ceil((s.upper+h)/-a)*-a);r>=s.lower-h&&(r<=s.upper+h&&this.processTickPosition(e,r,a,n),!((r-=a)-s.lower>1e4*a)););}},getDistanceMajorTicks:function(){var t,e,i,s,r,n,a,h;return this.evalVisProp("insertticks")?(n=((i=this.getLowerAndUpperBounds(this.getZeroCoordinates(),"")).upper-i.lower)/6/(r=this.evalVisProp("scale")),a=this.evalVisProp("minticksdistance")/r,h=this.evalVisProp("minorticks"),(s=this.getXandYdeltas()).x*=this.board.unitX,s.y*=this.board.unitY,a/=o.Z.hypot(s.x,s.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)):this.evalVisProp("ticksdistance")},processTickPosition:function(t,e,s,r){var o,n,a,h,l,c,d=this.evalVisProp("ticksperlabel"),p=null;this.line.elementClass===i.Z.OBJECT_CLASS_LINE?(o=t.usrCoords[1]+e*r.x,n=t.usrCoords[2]+e*r.y):(o=this.line.X(t+e),n=this.line.Y(t+e)),a=new u.Z(i.Z.COORDS_BY_USER,[o,n],this.board),this.line.elementClass===i.Z.OBJECT_CLASS_CURVE&&(p=t+e,this.setTicksSizeVariables(p)),l=this.evalVisProp("minorticks"),a.major=Math.round(e/s)%(l+1)==0,d||(d=l+1),c=Math.round(e/s)%d==0,3===(h=this.createTickPath(a,a.major)).length&&(this.ticks.push(h),c&&this.evalVisProp("drawlabels")?this.labelsData.push(this.generateLabelData(this.generateLabelText(a,t,p),a,this.ticks.length)):this.labelsData.push(null))},generateFixedTicks:function(t,e){var r,n,a,h,l,c,d,p,f=o.Z.eps,_=s.Z.isArray(this.visProp.labels),m=this.evalVisProp("drawlabels");for(this.line.elementClass===i.Z.OBJECT_CLASS_LINE&&(p=this.getXandYdeltas()),a=0;a<this.fixedTicks.length;a++)this.line.elementClass===i.Z.OBJECT_CLASS_LINE?(d=this.fixedTicks[a],l=t.usrCoords[1]+d*p.x,c=t.usrCoords[2]+d*p.y):(d=t+this.fixedTicks[a],l=this.line.X(d),c=this.line.Y(d)),r=new u.Z(i.Z.COORDS_BY_USER,[l,c],this.board),this.line.elementClass===i.Z.OBJECT_CLASS_CURVE&&this.setTicksSizeVariables(d),3===(h=this.createTickPath(r,!0)).length&&d>=e.lower-f&&d<=e.upper+f&&(this.ticks.push(h),m&&(_||s.Z.exists(this.visProp.labels[a]))?(n=_?this.evalVisProp("labels."+a):d,this.labelsData.push(this.generateLabelData(this.generateLabelText(r,t,n),r,a))):this.labelsData.push(null))},getXandYdeltas:function(){var t,e,i=this.line.point1.Dist(this.line.point2);return t=this.line.point1.coords.usrCoords,{x:((e=this.line.point2.coords.usrCoords)[1]-t[1])/i,y:(e[2]-t[2])/i}},_isInsideCanvas:function(t,e,i){var 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,s,r,n,a,l,c,d,u,p,f,_,m,g,b,v,Z,C=[-2e6,-2e6],y=[-2e6,-2e6];if(i=t.scrCoords,e?(n=this.dxMaj,a=this.dyMaj,u=this.majStyle,b=this.evalVisProp("majortickendings.0")>0,v=this.evalVisProp("majortickendings.1")>0):(n=this.dxMin,a=this.dyMin,u=this.minStyle,b=this.evalVisProp("tickendings.0")>0,v=this.evalVisProp("tickendings.1")>0),s=[-a*i[1]-n*i[2],a,n],e&&"polar"===this.evalVisProp("type")){if(_=this.board.getBoundingBox(),g=(m=2*Math.PI)/180,i=t.usrCoords,(f=o.Z.hypot(i[1],i[2]))<Math.max(o.Z.hypot(_[0],_[1]),o.Z.hypot(_[2],_[3]))){for(C=[],y=[],p=0;p<=m;p+=g)C.push(this.board.origin.scrCoords[1]+f*Math.cos(p)*this.board.unitX),y.push(this.board.origin.scrCoords[2]+f*Math.sin(p)*this.board.unitY);return[C,y,e]}}else{if("infinite"===u){if(this.evalVisProp("ignoreinfinitetickendings")&&(b=v=!0),r=h.Z.meetLineBoard(s,this.board),b&&v)C[0]=r[0].scrCoords[1],C[1]=r[1].scrCoords[1],y[0]=r[0].scrCoords[2],y[1]=r[1].scrCoords[2];else if((Z=[o.Z.innerProduct(r[0].usrCoords.slice(1,3),this.line.stdform.slice(1,3))+this.line.stdform[0],o.Z.innerProduct(r[1].usrCoords.slice(1,3),this.line.stdform.slice(1,3))+this.line.stdform[0]])[0]<Z[1]&&(r.reverse(),Z.reverse()),b){if(Z[0]<0)return[];Z[1]<0?(C[0]=r[0].scrCoords[1],y[0]=r[0].scrCoords[2],C[1]=i[1],y[1]=i[2]):(C[0]=r[0].scrCoords[1],y[0]=r[0].scrCoords[2],C[1]=r[1].scrCoords[1],y[1]=r[1].scrCoords[2])}else if(v){if(Z[1]>0)return[];Z[0]>0?(C[0]=i[1],y[0]=i[2],C[1]=r[1].scrCoords[1],y[1]=r[1].scrCoords[2]):(C[0]=r[0].scrCoords[1],y[0]=r[0].scrCoords[2],C[1]=r[1].scrCoords[1],y[1]=r[1].scrCoords[2])}}else d=">"===this.evalVisProp("face")?Math.PI/4:"<"===this.evalVisProp("face")?-Math.PI/4:0,l=Math.cos(d)*n-Math.sin(d)*a,c=Math.sin(d)*n+Math.cos(d)*a,C[0]=i[1]+l*b,y[0]=i[2]-c*b,C[1]=i[1],y[1]=i[2],d=-d,l=Math.cos(d)*n-Math.sin(d)*a,c=Math.sin(d)*n+Math.cos(d)*a,C[2]=i[1]-l*v,y[2]=i[2]+c*v;if(this._isInsideCanvas(C,y))return[C,y,e]}return[]},formatLabelText:function(t){var e,i,r=this.evalVisProp("label.usemathjax"),o=this.evalVisProp("label.usekatex"),n=this.evalVisProp("scalesymbol");return 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k(),h}};t.Z.Util;t.Z.CA=function(t,e,i){this.node=t,this.createNode=e,this.parser=i},t.Z.extend(t.Z.CA.prototype,{findMapNode:function(t,e){var i,s,r;if("op_assign"===e.value&&e.children[0].value===t)return e.children[1];if(e.children)for(s=e.children.length,i=0;i<s;++i)if(null!==(r=this.findMapNode(t,e.children[i])))return r;return null},setMath:function(t){var e,i;if(("node_op"!=t.type||"op_add"!=t.value&&"op_sub"!=t.value&&"op_mul"!=t.value&&"op_div"!=t.value&&"op_neg"!=t.value&&"op_execfun"!=t.value&&"op_exp"!=t.value)&&"node_var"!=t.type&&"node_const"!=t.type||(t.isMath=!0),t.children)for(i=t.children.length,e=0;e<i;++e)this.setMath(t.children[e])},deriveElementary:function(t,e){var i,r=t.children[0].value,o=t.children[1];switch(r){case"abs":i=this.createNode("node_op","op_div",o[0],this.createNode("node_op","op_execfun",this.createNode("node_var","sqrt"),[this.createNode("node_op","op_mul",s.Z.deepCopy(o[0]),s.Z.deepCopy(o[0]))]));break;case"sqrt":i=this.createNode("node_op","op_div",this.createNode("node_const",1),this.createNode("node_op","op_mul",this.createNode("node_const",2),this.createNode(t.type,t.value,s.Z.deepCopy(t.children[0]),s.Z.deepCopy(t.children[1]))));break;case"sin":i=this.createNode("node_op","op_execfun",this.createNode("node_var","cos"),s.Z.deepCopy(o));break;case"cos":i=this.createNode("node_op","op_neg",this.createNode("node_op","op_execfun",this.createNode("node_var","sin"),s.Z.deepCopy(o)));break;case"tan":i=this.createNode("node_op","op_div",this.createNode("node_const",1),this.createNode("node_op","op_exp",this.createNode("node_op","op_execfun",this.createNode("node_var","cos"),s.Z.deepCopy(o)),this.createNode("node_const",2)));break;case"cot":i=this.createNode("node_op","op_neg",this.createNode("node_op","op_div",this.createNode("node_const",1),this.createNode("node_op","op_exp",this.createNode("node_op","op_execfun",this.createNode("node_var","sin"),s.Z.deepCopy(o)),this.createNode("node_const",2))));break;case"exp":i=this.createNode(t.type,t.value,s.Z.deepCopy(t.children[0]),s.Z.deepCopy(t.children[1]));break;case"pow":i=this.createNode("node_op","op_mul",this.createNode("node_op","op_execfun",s.Z.deepCopy(t.children[0]),s.Z.deepCopy(t.children[1])),this.createNode("node_op","op_add",this.createNode("node_op","op_mul",this.derivative(t.children[1][0],e),this.createNode("node_op","op_div",s.Z.deepCopy(t.children[1][1]),s.Z.deepCopy(t.children[1][0]))),this.createNode("node_op","op_mul",this.derivative(t.children[1][1],e),this.createNode("node_op","op_execfun",this.createNode("node_var","log"),[s.Z.deepCopy(t.children[1][0])]))));break;case"log":case"ln":i=this.createNode("node_op","op_div",this.createNode("node_const",1),s.Z.deepCopy(o[0]));break;case"log2":case"lb":case"ld":i=this.createNode("node_op","op_mul",this.createNode("node_op","op_div",this.createNode("node_const",1),s.Z.deepCopy(o[0])),this.createNode("node_const",1.4426950408889634));break;case"log10":case"lg":i=this.createNode("node_op","op_mul",this.createNode("node_op","op_div",this.createNode("node_const",1),s.Z.deepCopy(o[0])),this.createNode("node_const",.43429448190325176));break;case"asin":i=this.createNode("node_op","op_div",this.createNode("node_const",1),this.createNode("node_op","op_execfun",this.createNode("node_var","sqrt"),[this.createNode("node_op","op_sub",this.createNode("node_const",1),this.createNode("node_op","op_mul",s.Z.deepCopy(o[0]),s.Z.deepCopy(o[0])))]));break;case"acos":i=this.createNode("node_op","op_neg",this.createNode("node_op","op_div",this.createNode("node_const",1),this.createNode("node_op","op_execfun",this.createNode("node_var","sqrt"),[this.createNode("node_op","op_sub",this.createNode("node_const",1),this.createNode("node_op","op_mul",s.Z.deepCopy(o[0]),s.Z.deepCopy(o[0])))])));break;case"atan":i=this.createNode("node_op","op_div",this.createNode("node_const",1),this.createNode("node_op","op_add",this.createNode("node_const",1),this.createNode("node_op","op_mul",s.Z.deepCopy(o[0]),s.Z.deepCopy(o[0]))));break;case"acot":i=this.createNode("node_op","op_neg",this.createNode("node_op","op_div",this.createNode("node_const",1),this.createNode("node_op","op_add",this.createNode("node_const",1),this.createNode("node_op","op_mul",s.Z.deepCopy(o[0]),s.Z.deepCopy(o[0])))));break;case"sinh":i=this.createNode("node_op","op_execfun",this.createNode("node_var","cosh"),[s.Z.deepCopy(o[0])]);break;case"cosh":i=this.createNode("node_op","op_execfun",this.createNode("node_var","sinh"),[s.Z.deepCopy(o[0])]);break;case"tanh":i=this.createNode("node_op","op_sub",this.createNode("node_const",1),this.createNode("node_op","op_exp",this.createNode("node_op","op_execfun",this.createNode("node_var","tanh"),[s.Z.deepCopy(o[0])]),this.createNode("node_const",2)));break;case"asinh":i=this.createNode("node_op","op_div",this.createNode("node_const",1),this.createNode("node_op","op_execfun",this.createNode("node_var","sqrt"),[this.createNode("node_op","op_add",this.createNode("node_op","op_mul",s.Z.deepCopy(o[0]),s.Z.deepCopy(o[0])),this.createNode("node_const",1))]));break;case"acosh":i=this.createNode("node_op","op_div",this.createNode("node_const",1),this.createNode("node_op","op_execfun",this.createNode("node_var","sqrt"),[this.createNode("node_op","op_sub",this.createNode("node_op","op_mul",s.Z.deepCopy(o[0]),s.Z.deepCopy(o[0])),this.createNode("node_const",1))]));break;case"atanh":i=this.createNode("node_op","op_div",this.createNode("node_const",1),this.createNode("node_op","op_sub",this.createNode("node_const",1),this.createNode("node_op","op_mul",s.Z.deepCopy(o[0]),s.Z.deepCopy(o[0]))));break;default:throw i=this.createNode("node_const",0),console.log('Derivative of "'+r+'" not yet implemented'),new Error("Error("+this.line+"): ")}return i},derivative:function(t,e){var i;switch(t.type){case"node_op":switch(t.value){case"op_execfun":i="pow"==t.children[0].value?this.deriveElementary(t,e):0===t.children[1].length?this.createNode("node_const",0):this.createNode("node_op","op_mul",this.deriveElementary(t,e),this.derivative(t.children[1][0],e));break;case"op_div":i=this.createNode("node_op","op_div",this.createNode("node_op","op_sub",this.createNode("node_op","op_mul",this.derivative(t.children[0],e),s.Z.deepCopy(t.children[1])),this.createNode("node_op","op_mul",s.Z.deepCopy(t.children[0]),this.derivative(t.children[1],e))),this.createNode("node_op","op_mul",s.Z.deepCopy(t.children[1]),s.Z.deepCopy(t.children[1])));break;case"op_mul":i=this.createNode("node_op","op_add",this.createNode("node_op","op_mul",s.Z.deepCopy(t.children[0]),this.derivative(t.children[1],e)),this.createNode("node_op","op_mul",this.derivative(t.children[0],e),s.Z.deepCopy(t.children[1])));break;case"op_neg":i=this.createNode("node_op","op_neg",this.derivative(t.children[0],e));break;case"op_add":case"op_sub":i=this.createNode("node_op",t.value,this.derivative(t.children[0],e),this.derivative(t.children[1],e));break;case"op_exp":i=this.createNode("node_op","op_mul",s.Z.deepCopy(t),this.createNode("node_op","op_add",this.createNode("node_op","op_mul",this.derivative(t.children[0],e),this.createNode("node_op","op_div",s.Z.deepCopy(t.children[1]),s.Z.deepCopy(t.children[0]))),this.createNode("node_op","op_mul",this.derivative(t.children[1],e),this.createNode("node_op","op_execfun",this.createNode("node_var","log"),[s.Z.deepCopy(t.children[0])]))))}break;case"node_var":i=t.value===e?this.createNode("node_const",1):this.createNode("node_const",0);break;case"node_const":i=this.createNode("node_const",0)}return i},expandDerivatives:function(t,e,i){var r,o,n,a,h,l,c,d,u,p,f,_;if(0,!t)return 0;for(this.line=t.line,this.col=t.col,r=t.children.length,o=0;o<r;++o)if(t.children[o]&&t.children[o].type)t.children[o]=this.expandDerivatives(t.children[o],t,i);else if(s.Z.isArray(t.children[o]))for(n=0;n<t.children[o].length;++n)t.children[o][n]&&t.children[o][n].type&&(t.children[o][n]=this.expandDerivatives(t.children[o][n],t,i));if("node_op"===t.type)if("op_execfun"===t.value)if(t.children[0]&&"D"===t.children[0].value){if(_=!1,"node_var"==t.children[1][0].type&&(d=t.children[1][0].value,null!==(a=this.findMapNode(d,i))&&(_=!0)),_?(p=a.children[0],u=t.children[1].length>=2?t.children[1][1].value:a.children[0][0],h=a.children[1]):(h=t.children[1][0],p=["x"],u=t.children[1].length>=2?t.children[1][1].value:"x"),c=h,(f=t.children[1].length>=3?t.children[1][2].value:1)>=1)for(;f>=1;)c=this.derivative(c,u),c=this.removeTrivialNodes(c),f--;l="node_op"==e.type&&"op_assign"==e.value?this.createNode("node_op","op_map",p,c):c,this.setMath(l),t.type=l.type,t.value=l.value,l.children.length>0&&(t.children[0]=l.children[0]),l.children.length>1&&(t.children[1]=l.children[1])}return t},removeTrivialNodes:function(t){var e,i,r,o,n;if(s.Z.isArray(t))for(i=t.length,e=0;e<i;++e)t[e]=this.removeTrivialNodes(t[e]);if("node_op"!=t.type||!t.children)return t;for(i=t.children.length,e=0;e<i;++e){this.mayNotBeSimplified=!1;do{t.children[e]=this.removeTrivialNodes(t.children[e])}while(this.mayNotBeSimplified)}switch(t.value){case"op_map":if(r=t.children[0],"node_var"==(o=t.children[1]).type)for(e=0;e<r.length;++e)if(r[e]==o.value){o.isMath=!0;break}break;case"op_add":if(r=t.children[0],o=t.children[1],"node_const"==r.type&&0===r.value)return o;if("node_const"==o.type&&0===o.value)return r;if("node_const"==r.type&&"node_const"==o.type)return r.value+=o.value,r;break;case"op_mul":if(r=t.children[0],o=t.children[1],"node_const"==r.type&&1==r.value)return o;if("node_const"==o.type&&1==o.value)return r;if("node_const"==r.type&&0===r.value)return r;if("node_const"==o.type&&0===o.value)return o;if("node_const"==o.type&&0===o.value)return o;if("node_op"==r.type&&"op_neg"==r.value&&"node_op"==o.type&&"op_neg"==o.value)return t.children=[r.children[0],o.children[0]],this.mayNotBeSimplified=!0,t;if("op_neg"==r.value&&"op_neg"!=o.value)return t.type="node_op",t.value="op_neg",t.children=[this.createNode("node_op","op_mul",r.children[0],o)],this.mayNotBeSimplified=!0,t;if("op_neg"!=r.value&&"op_neg"==o.value)return t.type="node_op",t.value="op_neg",t.children=[this.createNode("node_op","op_mul",r,o.children[0])],this.mayNotBeSimplified=!0,t;if("op_div"==r.value&&"node_const"==r.children[0].type&&1==r.children[0].value)return t.type="node_op",t.value="op_div",t.children=[o,r.children[1]],this.mayNotBeSimplified=!0,t;if("op_div"==o.value&&"node_const"==o.children[0].type&&1==o.children[0].value)return t.type="node_op",t.value="op_div",t.children=[r,o.children[1]],this.mayNotBeSimplified=!0,t;if("node_const"!=r.type&&"node_const"==o.type)return t.children=[o,r],this.mayNotBeSimplified=!0,t;if("node_const"!=r.type&&"node_op"==o.type&&"op_neg"==o.value&&"node_const"==o.children[0].type)return t.children=[o,r],this.mayNotBeSimplified=!0,t;if("node_op"==r.type&&"op_execfun"!=r.value&&("node_var"==o.type||"node_op"==o.type&&"op_execfun"==o.value))return t.children=[o,r],this.mayNotBeSimplified=!0,t;if("node_op"!=r.type&&"node_op"==o.type&&"op_neg"==o.value&&"node_var"==o.children[0].type)return t.children=[o,r],this.mayNotBeSimplified=!0,t;if("node_const"!=r.type&&"node_op"==o.type&&("op_mul"==o.value||"op_div"==o.value)&&"node_const"==o.children[0].type)return n=o.children[0],o.children[0]=r,t.children=[n,o],this.mayNotBeSimplified=!0,t;if("node_const"!=o.type&&"node_op"==r.type&&"op_mul"==r.value&&"node_const"==r.children[0].type)return t.children=[r.children[0],this.createNode("node_op","op_mul",r.children[1],o)],this.mayNotBeSimplified=!0,t;if("node_const"==r.type&&"node_const"==o.type)return r.value*=o.value,r;if("node_const"==r.type&&"node_op"==o.type&&("op_mul"==o.value||"op_div"==o.value)&&"node_const"==o.children[0].type)return o.children[0].value*=r.value,o;if(r.hash=this.parser.compile(r),o.hash=this.parser.compile(o),r.hash===o.hash)return t.value="op_exp",t.children[1]=this.createNode("node_const",2),t;if("node_const"==r.type&&"node_op"==o.type&&("op_mul"==o.value||"op_div"==o.value)&&"node_const"==o.children[0].type)return o.children[0].value*=r.value,o;if("node_op"==o.type&&"op_exp"==o.value&&(r.hash||(r.hash=this.parser.compile(r)),o.children[0].hash||(o.children[0].hash=this.parser.compile(o.children[0])),r.hash===o.children[0].hash))return o.children[1]=this.createNode("node_op","op_add",o.children[1],this.createNode("node_const",1)),this.mayNotBeSimplified=!0,o;if("node_op"==r.type&&"op_exp"==r.value&&"node_op"==o.type&&"op_exp"==o.value&&(r.children[0].hash=this.parser.compile(r.children[0]),o.children[0].hash=this.parser.compile(o.children[0]),r.children[0].hash===o.children[0].hash))return r.children[1]=this.createNode("node_op","op_add",r.children[1],o.children[1]),this.mayNotBeSimplified=!0,r;break;case"op_sub":if(r=t.children[0],o=t.children[1],"node_const"==r.type&&0===r.value)return t.value="op_neg",t.children[0]=o,t;if("node_const"==o.type&&0===o.value)return r;if("node_const"==r.type&&"node_const"==o.type&&r.value==o.value)return this.createNode("node_const",0);if("node_var"==r.type&&"node_var"==o.type&&r.value==o.value)return this.createNode("node_const",0);if("node_const"==r.type&&"node_const"==o.type)return r.value-=o.value,r;if("node_op"==r.type&&"op_mul"==r.value&&"node_op"==o.type&&"op_mul"==o.value&&(r.children[1].hash=this.parser.compile(r.children[1]),o.children[1].hash=this.parser.compile(o.children[1]),r.children[1].hash===o.children[1].hash))return t.value="op_mul",t.children=[this.createNode("node_op","op_sub",r.children[0],o.children[0]),r.children[1]],this.mayNotBeSimplified=!0,t;if("node_op"==r.type&&"op_mul"==r.value&&(r.children[1].hash=this.parser.compile(r.children[1]),o.hash=this.parser.compile(o),r.children[1].hash===o.hash))return t.value="op_mul",t.children=[this.createNode("node_op","op_sub",r.children[0],this.createNode("node_const",1)),o],this.mayNotBeSimplified=!0,t;if("node_op"==o.type&&"op_mul"==o.value&&(o.children[1].hash=this.parser.compile(o.children[1]),r.hash=this.parser.compile(r),o.children[1].hash===r.hash))return t.value="op_mul",t.children=[this.createNode("node_op","op_sub",this.createNode("node_const",1),o.children[0]),r],this.mayNotBeSimplified=!0,t;break;case"op_neg":if("node_const"==(r=t.children[0]).type&&0===r.value)return r;if("node_op"==r.type&&"op_neg"==r.value)return r.children[0];break;case"op_div":if(r=t.children[0],o=t.children[1],"node_const"==r.type&&"node_const"==o.type&&r.value==o.value&&0!==r.value)return r.value=1,r;if("node_const"==r.type&&0===r.value&&"node_const"==o.type&&0!==o.value)return r.value=0,r;if("node_const"==r.type&&0===r.value&&("node_op"==o.type||"node_var"==o.type))return t.type="node_const",t.value=0,t;if("node_var"==r.type&&"node_var"==o.type&&r.value==o.value)return this.createNode("node_const",1);if("node_const"==r.type&&0!==r.value&&"node_const"==o.type&&0===o.value)return r.value>0?r.value=1/0:r.value=-1/0,r;if("node_op"==r.type&&"op_neg"==r.value&&"node_op"==o.type&&"op_neg"==o.value)return t.children=[r.children[0],o.children[0]],this.mayNotBeSimplified=!0,t;if("op_neg"==r.value&&"op_neg"!=o.value)return t.type="node_op",t.value="op_neg",t.children=[this.createNode("node_op","op_div",r.children[0],o)],this.mayNotBeSimplified=!0,t;if("op_neg"!=r.value&&"op_neg"==o.value)return t.type="node_op",t.value="op_neg",t.children=[this.createNode("node_op","op_div",r,o.children[0])],this.mayNotBeSimplified=!0,t;if("node_op"==r.type&&"op_exp"==r.value&&(o.hash||(o.hash=this.parser.compile(o)),r.children[0].hash||(r.children[0].hash=this.parser.compile(r.children[0])),o.hash===r.children[0].hash))return r.children[1]=this.createNode("node_op","op_sub",r.children[1],this.createNode("node_const",1)),this.mayNotBeSimplified=!0,r;if("node_const"!=o.type&&"node_op"==r.type&&"op_mul"==r.value&&"node_const"==r.children[0].type)return t.value="op_mul",t.children=[r.children[0],this.createNode("node_op","op_div",r.children[1],o)],this.mayNotBeSimplified=!0,t;if("node_op"==r.type&&"op_exp"==r.value&&"node_op"==o.type&&"op_exp"==o.value&&(r.children[0].hash=this.parser.compile(r.children[0]),o.children[0].hash=this.parser.compile(o.children[0]),r.children[0].hash===o.children[0].hash))return r.children[1]=this.createNode("node_op","op_sub",r.children[1],o.children[1]),this.mayNotBeSimplified=!0,r;break;case"op_exp":if(r=t.children[0],"node_const"==(o=t.children[1]).type&&0===o.value)return o.value=1,o;if("node_const"==o.type&&1==o.value)return r;if("node_const"==r.type&&1==r.value)return r;if("node_const"==r.type&&0===r.value&&"node_const"==o.type&&0!==o.value)return r;if("node_op"==r.type&&"op_exp"==r.value)return t.children=[r.children[0],this.createNode("node_op","op_mul",r.children[1],o)],t}switch(t.value){case"op_add":if(r=t.children[0],o=t.children[1],"node_const"==r.type&&"node_const"==o.type&&r.value==o.value)return r.value+=o.value,r;if("node_var"==r.type&&"node_var"==o.type&&r.value==o.value)return t.children[0]=this.createNode("node_const",2),t.value="op_mul",t;if("node_op"==r.type&&"op_neg"==r.value)return t.value="op_sub",t.children[0]=o,t.children[1]=r.children[0],this.mayNotBeSimplified=!0,t;if("node_op"==o.type&&"op_neg"==o.value)return t.value="op_sub",t.children[1]=o.children[0],this.mayNotBeSimplified=!0,t;if("node_op"==r.type&&"op_mul"==r.value&&"node_op"==o.type&&"op_mul"==o.value&&(r.children[1].hash=this.parser.compile(r.children[1]),o.children[1].hash=this.parser.compile(o.children[1]),r.children[1].hash===o.children[1].hash))return t.value="op_mul",t.children=[this.createNode("node_op","op_add",r.children[0],o.children[0]),r.children[1]],this.mayNotBeSimplified=!0,t;if("node_op"==r.type&&"op_mul"==r.value&&(r.children[1].hash=this.parser.compile(r.children[1]),o.hash=this.parser.compile(o),r.children[1].hash===o.hash))return t.value="op_mul",t.children=[this.createNode("node_op","op_add",r.children[0],this.createNode("node_const",1)),o],this.mayNotBeSimplified=!0,t;if("node_op"==o.type&&"op_mul"==o.value&&(o.children[1].hash=this.parser.compile(o.children[1]),r.hash=this.parser.compile(r),o.children[1].hash===r.hash))return t.value="op_mul",t.children=[this.createNode("node_op","op_add",this.createNode("node_const",1),o.children[0]),r],this.mayNotBeSimplified=!0,t;break;case"op_sub":if(r=t.children[0],"node_op"==(o=t.children[1]).type&&"op_neg"==o.value)return t.value="op_add",t.children[1]=o.children[0],this.mayNotBeSimplified=!0,t;break;case"op_execfun":return this.simplifyElementary(t)}return t},simplifyElementary:function(t){var e=t.children[0].value,i=t.children[1];if(0==i.length)return t;switch(e){case"sin":case"tan":if("node_const"==i[0].type&&0===i[0].value)return t.type="node_const",t.value=0,t;if("node_var"==i[0].type&&"PI"==i[0].value)return t.type="node_const",t.value=0,t;if("node_op"==i[0].type&&"op_mul"==i[0].value&&"node_const"==i[0].children[0].type&&i[0].children[0].value%1==0&&"node_var"==i[0].children[1].type&&"PI"==i[0].children[1].value)return t.type="node_const",t.value=0,t;break;case"cos":if("node_const"==i[0].type&&0===i[0].value)return t.type="node_const",t.value=1,t;if("node_var"==i[0].type&&"PI"==i[0].value)return t.type="node_op",t.value="op_neg",t.children=[this.createNode("node_const",1)],t;break;case"exp":if("node_const"==i[0].type&&0===i[0].value)return t.type="node_const",t.value=1,t;break;case"pow":if("node_const"==i[1].type&&0===i[1].value)return t.type="node_const",t.value=1,t}return t}});t.Z.CA;t.Z.Dump={addMarkers:function(t,e,i){var 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e,i,r,o,n=[],a=[],h=t.objectsList.length;for(this.addMarkers(t,"dumped",!1),e=0;e<h;e++)if(r={},!(i=t.objectsList[e]).dumped&&i.dump){for(r.type=i.getType(),r.parents=i.getParents().slice(),"point"===r.type&&1===r.parents[0]&&(r.parents=r.parents.slice(1)),o=0;o<r.parents.length;o++)s.Z.isString(r.parents[o])&&"'"!==r.parents[o][0]&&'"'!==r.parents[o][0]?r.parents[o]='"'+r.parents[o]+'"':s.Z.isArray(r.parents[o])&&(r.parents[o]="["+r.parents[o].toString()+"]");r.attributes=this.prepareAttributes(t,i),"glider"===r.type&&i.onPolygon&&n.push({obj:i.id,prop:"onPolygon",val:!0}),a.push(r)}return this.deleteMarkers(t,"dumped"),{elements:a,props:n,methods:[]}},arrayToParamStr:function(t,e){var i,s=[];for(i=0;i<t.length;i++)s.push(e.call(this,t[i]));return s.join(", ")},toJCAN:function(t){var e,i,r;switch(typeof t){case"object":if(t){if(i=[],s.Z.isArray(t)){for(e=0;e<t.length;e++)i.push(this.toJCAN(t[e]));return"["+i.join(",")+"]"}for(r in t)t.hasOwnProperty(r)&&i.push(r+": 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e,i,r,o=this.dump(t),n=[];for(o.methods=this.setBoundingBox(o.methods,t,"board"),i=o.elements,e=0;e<i.length;e++)n.push('board.create("'+i[e].type+'", ['+i[e].parents.join(", ")+"], "+s.Z.toJSON(i[e].attributes)+");"),"axis"===i[e].type&&(r=i[e].attributes.id,null===t.objects[r].defaultTicks&&n.push('board.objects["'+r+'"].removeTicks(board.objects["'+r+'"].defaultTicks);'));for(e=0;e<o.methods.length;e++)n.push(o.methods[e].obj+"."+o.methods[e].method+"("+this.arrayToParamStr(o.methods[e].params,s.Z.toJSON)+");"),n.push("");for(e=0;e<o.props.length;e++)n.push(o.props[e].obj+"."+o.props[e].prop+" = "+s.Z.toJSON(o.props[e].val)+";"),n.push("");return n.join("\n")}};t.Z.Dump;t.Z.createComb=function(e,i,r){var o,n,a,h,l;if(2!==i.length)throw l=i.map((function(t){return"'"+typeof t+"'"})),new Error("JSXGraph: Can't create comb with parent types "+l.join(", ")+".\nPossible parent types: [point,point], 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q=function(){X.prototype.remove.call(this),this.board.removeObject(this.toppoint),this.board.removeObject(this.glider),this.board.removeObject(this.baseline),this.board.removeObject(this.basepoint),this.board.removeObject(this.label),this._isPrivateTangent&&this.board.removeObject(this.tangent)},Q=function(){return this.tangent.getSlope()},tt=function(){return this.tangent.Direction()};t.Z.createSlopeTriangle=function(e,r,o){var n,a,h,l,c,d,u,p,f,_=!1;if(1===r.length&&r[0].type===i.Z.OBJECT_TYPE_TANGENT)a=r[0],h=a.glider;else if(1===r.length&&r[0].type===i.Z.OBJECT_TYPE_GLIDER)h=r[0],f=s.Z.copyAttributes(o,e.options,"slopetriangle","tangent"),a=e.create("tangent",[h],f),_=!0;else{if(2!==r.length||r[0].elementClass!==i.Z.OBJECT_CLASS_LINE||!s.Z.isPoint(r[1]))throw new Error("JSXGraph: Can't create slope triangle with parent types '"+typeof r[0]+"'.");a=r[0],h=r[1]}return f=s.Z.copyAttributes(o,e.options,"slopetriangle","basepoint"),u=e.create("point",[function(){return[h.X()+1,h.Y()]}],f),f=s.Z.copyAttributes(o,e.options,"slopetriangle","baseline"),d=e.create("line",[h,u],f),f=s.Z.copyAttributes(o,e.options,"slopetriangle","glider"),l=e.create("glider",[h.X()+1,h.Y(),d],f),f=s.Z.copyAttributes(o,e.options,"slopetriangle","toppoint"),c=e.create("point",[function(){return[l.X(),l.Y()+(l.X()-h.X())*a.getSlope()]}],f),f=s.Z.copyAttributes(o,e.options,"slopetriangle"),(n=e.create("polygon",[h,l,c],f)).Value=Q,n.Direction=tt,n.tangent=a,n._isPrivateTangent=_,n.borders[2].setArrow(!1,!1),f=s.Z.copyAttributes(o,e.options,"slopetriangle","label"),(f=s.Z.copyAttributes(f,e.options,"label")).isLabel=!0,f.anchor=n.borders[1],f.priv=n.borders[1].visProp.priv,f.id=n.borders[1].id+"Label",(p=e.create("text",[0,0,function(){return""}],f)).needsUpdate=!0,p.dump=!1,n.borders[1].label=p,n.borders[1].hasLabel=!0,n.borders[1].visProp.withlabel=!0,p._setText((function(){var 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it=function(t){this._value=this.rendNodeInput.value,this.board.update()};t.Z.createInput=function(i,r,o){var n,a,h,l=s.Z.copyAttributes(o,i.options,"input");return a=[r[0],r[1],'<span style="display:inline; white-space:nowrap; padding:0px;"><label></label><input type="text" maxlength="'+l.maxlength+'" style="width:100%" 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r,o;if(!(e.length>=3&&(s.Z.isArray(e[0])||s.Z.isFunction(e[0])||s.Z.isString(e[0]))&&s.Z.isArray(e[1])&&3===e[1].length&&s.Z.isArray(e[2])&&3===e[2].length))throw new Error("JSXGraph: Can't create vector field with parent types '"+typeof e[0]+"', '"+typeof e[1]+"', '"+typeof e[2]+"'.");return o=s.Z.copyAttributes(i,t.options,"vectorfield"),(r=t.create("curve",[[],[]],o)).elType="vectorfield",r.setF=function(t,e){var i,o;return s.Z.isArray(t)?(i=s.Z.createFunction(t[0],this.board,e),o=s.Z.createFunction(t[1],this.board,e),this.F=function(t,e){return[i(t,e),o(t,e)]}):this.F=s.Z.createFunction(t,r.board,e),this},r.setF(e[0],"x, y"),r.xData=e[1],r.yData=e[2],r.updateDataArray=function(){var e,i,r,o,n,a,h,l,c,d,u,p,f=this.evalVisProp("scale"),_=s.Z.evaluate(this.xData[0]),m=s.Z.evaluate(this.xData[1]),g=(s.Z.evaluate(this.xData[2])-_)/m,b=s.Z.evaluate(this.yData[0]),v=s.Z.evaluate(this.yData[1]),Z=(s.Z.evaluate(this.yData[2])-b)/v,C=this.evalVisProp("arrowhead.enabled");for(C&&(d=(c=this.evalVisProp("arrowhead.size"))/t.unitX,u=c/t.unitY,p=this.evalVisProp("arrowhead.angle")),this.dataX=[],this.dataY=[],r=0,e=_;r<=m;e+=g,r++)for(o=0,i=b;o<=v;i+=Z,o++)(n=this.F(e,i))[0]*=f,n[1]*=f,s.Z.concat(this.dataX,[e,e+n[0],NaN]),s.Z.concat(this.dataY,[i,i+n[1],NaN]),C&&Math.abs(n[0])+Math.abs(n[1])>0&&(h=(a=Math.atan2(n[1],n[0]))+p,l=a-p,s.Z.concat(this.dataX,[e+n[0]-Math.cos(h)*d,e+n[0],e+n[0]-Math.cos(l)*d,NaN]),s.Z.concat(this.dataY,[i+n[1]-Math.sin(h)*u,i+n[1],i+n[1]-Math.sin(l)*u,NaN]))},r.methodMap=s.Z.deepCopy(r.methodMap,{setF:"setF"}),r},t.Z.registerElement("vectorfield",t.Z.createVectorField),t.Z.createSlopeField=function(t,e,i){var r,o,n;if(!(e.length>=3&&(s.Z.isFunction(e[0])||s.Z.isString(e[0]))&&s.Z.isArray(e[1])&&3===e[1].length&&s.Z.isArray(e[2])&&3===e[2].length))throw new Error("JSXGraph: Can't create slope field with parent types '"+typeof e[0]+"', '"+typeof e[1]+"', '"+typeof e[2]+"'.");return o=s.Z.createFunction(e[0],t,"x, y"),e[0]=function(t,e){var i=o(t,e),s=Math.sqrt(1+i*i);return[1/s,i/s]},n=s.Z.copyAttributes(i,t.options,"slopefield"),(r=t.create("vectorfield",e,n)).elType="slopefield",r.setF=function(t,e){var i=s.Z.createFunction(t,r.board,e);this.F=function(t,e){var s=i(t,e),r=Math.sqrt(1+s*s);return[1/r,s/r]}},r.methodMap=s.Z.deepCopy(r.methodMap,{setF:"setF"}),r},t.Z.registerElement("slopefield",t.Z.createSlopeField),t.Z.createSmartLabel=function(t,e,r){var o,n,a,h,l,c;if(0===e.length||[i.Z.OBJECT_CLASS_POINT,i.Z.OBJECT_CLASS_LINE,i.Z.OBJECT_CLASS_CIRCLE].indexOf(e[0].elementClass)<0&&[i.Z.OBJECT_TYPE_POLYGON,i.Z.OBJECT_TYPE_ANGLE].indexOf(e[0].type)<0)throw new Error("JSXGraph: Can't create smartlabel with parent types '"+typeof e[0]+"', '"+typeof e[1]+"'.");return a=e[0],h=e[1]||"",a.elementClass===i.Z.OBJECT_CLASS_POINT?n=s.Z.copyAttributes(r,t.options,"smartlabelpoint"):a.elementClass===i.Z.OBJECT_CLASS_LINE?((n=s.Z.copyAttributes(r,t.options,"smartlabelline")).rotate=function(){return(180*Math.atan(a.getSlope())/Math.PI+360)%360},n.visible=function(){return!(a.L()<1.5)}):a.elementClass===i.Z.OBJECT_CLASS_CIRCLE?(n=s.Z.copyAttributes(r,t.options,"smartlabelcircle")).visible=function(){return!(a.Radius()<1.5)}:a.type===i.Z.OBJECT_TYPE_POLYGON?n=s.Z.copyAttributes(r,t.options,"smartlabelpolygon"):a.type===i.Z.OBJECT_TYPE_ANGLE&&((n=s.Z.copyAttributes(r,t.options,"smartlabelangle")).rotate=function(){var t=a.center.coords.usrCoords,e=a.getLabelAnchor().usrCoords,i=(180*Math.atan2(e[2]-t[2],e[1]-t[1])/Math.PI+360)%360;return i>90&&i<270?i+180:i},n.anchorX=function(){var 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a.getLabelAnchor()},""],n),a,0,"perimeter")):a.type===i.Z.OBJECT_TYPE_POLYGON?"area"===n.measure?c=l(o=t.create("text",[function(){return a.getTextAnchor()},""],n),a,0,"area"):"perimeter"===n.measure&&(c=l(o=t.create("text",[function(){var t=a.borders.length-1;return t>=0?[.5*(a.borders[t].point1.X()+a.borders[t].point2.X()),.5*(a.borders[t].point1.Y()+a.borders[t].point2.Y())]:a.getTextAnchor()},""],n),a,0,"perimeter")):a.type===i.Z.OBJECT_TYPE_ANGLE&&(c=l(o=t.create("text",[function(){return 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I.Z,s.Z.copyPrototypeMethods(t.Z.ForeignObject,j.Z,"coordsConstructor"),t.Z.extend(t.Z.ForeignObject.prototype,{hasPoint:function(t,e){var r,n,a,h,l,c,d,p,f,_=this.transformations.length;return s.Z.isObject(this.evalVisProp("precision"))?(h=this.board._inputDevice,l=this.evalVisProp("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):(d=[(c=(c=new u.Z(i.Z.COORDS_BY_SCREEN,[t,e],this.board)).usrCoords)[0]-this.span[0][0],c[1]-this.span[0][1],c[2]-this.span[0][2]],0<=(p=(f=o.Z.innerProduct)(d,this.span[1]))&&p<=f(this.span[1],this.span[1])&&0<=(p=f(d,this.span[2]))&&p<=f(this.span[2],this.span[2]))},update:function(t){return this.needsUpdate?(this.updateCoords(t),this.updateSize(),this):this},updateRenderer:function(){return this.updateRendererGeneric("updateForeignObject")},updateSize:function(){var t=[0,0];return 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=j.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(v.Z,{axes3d:{axesPosition:"center",xAxis:{visible:!0,point2:{name:"x"},strokeColor:t.Z.palette.red},yAxis:{visible:!0,point2:{name:"y"},strokeColor:t.Z.palette.green},zAxis:{visible:!0,point2:{name:"z"},strokeColor:t.Z.palette.blue},xAxisBorder:{name:"x",visible:"ìnherit",withLabel:!1,label:{position:"50% left",offset:[30,0],fontsize:15},strokeWidth:1,lastArrow:!1,ticks3d:{visible:"ìnherit",label:{anchorX:"middle",anchorY:"middle"}}},yAxisBorder:{name:"y",visible:"ìnherit",withLabel:!1,label:{position:"50% right",offset:[0,-30],fontsize:15},strokeWidth:1,lastArrow:!1,ticks3d:{visible:"ìnherit",label:{anchorX:"middle"}}},zAxisBorder:{name:"z",visible:"ìnherit",withLabel:!1,label:{position:"50% 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5.49,.62],[4.71,0],[3.93,.62],[3.14,0],[2.36,.62],[1.57,1.57]],infobox:{strokeColor:"#000000",fontSize:16,useKatex:!1,useMathjax:!1,intl:{enabled:!0,options:{minimumFractionDigits:2,maximumFractionDigits:3}}},_currentView:-1}});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.depthOrdered={},this.elementsByName={},this.defaultAxes=null,this.angles={az:null,el:null,bank:null},this.matrix3DRot=[[1,0,0,0],[0,1,0,0],[0,0,1,0],[0,0,0,1]],this.matrix3DRotShift=[[1,0,0,0],[0,1,0,0],[0,0,1,0],[0,0,0,1]],this.matrix3D=[[1,0,0,0],[0,1,0,0],[0,0,1,0]],this.boxToCam=[],this.llftCorner=e[0],this.size=e[1],this.bbox3D=e[2],this.r=-1,this.focalDist=-1,this.projectionType="parallel",this.trackballEnabled=!1,this.timeoutAzimuth=null,this.zIndexMin=1/0,this.zIndexMax=-1/0,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 I.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 T(r)}else s.Z.isObject(a)&&s.Z.exists(a.id)&&!s.Z.exists(this.objects[a.id])&&(a=null);return a},setAnglesFromRotation:function(){var t,e,i,s,r,n,a,h=this.matrix3DRot;(t=Math.sqrt(h[1][3]*h[1][3]+h[2][3]*h[2][3]))>o.Z.eps?(e=h[2][3]/t,i=h[1][3]/t):(e=Math.cos(this.angles.bank),i=Math.sin(this.angles.bank)),h=o.Z.matMatMult([[1,0,0,0],[0,e,-i,0],[0,i,e,0],[0,0,0,1]],h),this.angles.bank=Math.atan2(i,e),s=h[2][3],r=h[3][3],h=o.Z.matMatMult([[1,0,0,0],[0,1,0,0],[0,0,s,r],[0,0,-r,s]],h),this.angles.el=Math.atan2(r,s),n=-h[1][1],a=h[3][1],this.angles.az=Math.atan2(a,n),this.angles.az<0&&(this.angles.az+=2*Math.PI),this.setSlidersFromAngles()},anglesHaveMoved:function(){return this._hasMoveAz||this._hasMoveEl||Math.abs(this.angles.az-this.az_slide.Value())>o.Z.eps||Math.abs(this.angles.el-this.el_slide.Value())>o.Z.eps||Math.abs(this.angles.bank-this.bank_slide.Value())>o.Z.eps},getAnglesFromSliders:function(){this.angles.az=this.az_slide.Value(),this.angles.el=this.el_slide.Value(),this.angles.bank=this.bank_slide.Value()},setSlidersFromAngles:function(){this.az_slide.setValue(this.angles.az),this.el_slide.setValue(this.angles.el),this.bank_slide.setValue(this.angles.bank)},getRotationFromAngles:function(){var t,e,i,s,r,n,a=[[1,0,0,0],[0,1,0,0],[0,0,1,0],[0,0,0,1]];return t=this.angles.az,e=this.angles.el,i=this.angles.bank,s=-Math.sin(e),a[1][1]=-Math.cos(t),a[1][2]=Math.sin(t),a[1][3]=0,a[2][1]=s*Math.sin(t),a[2][2]=s*Math.cos(t),a[2][3]=Math.cos(e),a[3][1]=Math.cos(e)*Math.sin(t),a[3][2]=Math.cos(e)*Math.cos(t),a[3][3]=Math.sin(e),r=Math.cos(i),n=Math.sin(i),a=o.Z.matMatMult([[1,0,0,0],[0,r,n,0],[0,-n,r,0],[0,0,0,1]],a)},_projectToSphere:function(t,e,i){var s,r=o.Z.hypot(e,i);return r<.7071067811865475*t?Math.sqrt(t*t-r*r):(s=t/1.414213562373095)*s/r},updateProjectionTrackball:function(t){var e,i,r,n,a,l,c,d,u,p,f,_,m=100,g=[[1,0,0,0],[0,1,0,0],[0,0,1,0],[0,0,0,1]];return s.Z.exists(this._trackball)?((e=this._trackball.dx)*e+(i=this._trackball.dy)*i>o.Z.eps&&(m=.25*(this.size[0]*this.board.unitX+this.size[1]*this.board.unitY),n=[a=this._trackball.x,l=this._trackball.y,this._projectToSphere(m,a,l)],r=[a-=e,l-=i,this._projectToSphere(m,a,l)],_=o.Z.crossProduct(r,n),u=o.Z.hypot(_[0],_[1],_[2]),_[0]/=u,_[1]/=u,_[2]/=u,d=(d=(d=h.Z.distance(n,r,3)/(2*m))>1?1:d)<-1?-1:d,c=2*Math.asin(d),d=1-(p=Math.cos(c)),f=Math.sin(c),g[1][1]=p+_[0]*_[0]*d,g[2][1]=_[1]*_[0]*d+_[2]*f,g[3][1]=_[2]*_[0]*d-_[1]*f,g[1][2]=_[0]*_[1]*d-_[2]*f,g[2][2]=p+_[1]*_[1]*d,g[3][2]=_[2]*_[1]*d+_[0]*f,g[1][3]=_[0]*_[2]*d+_[1]*f,g[2][3]=_[1]*_[2]*d-_[0]*f,g[3][3]=p+_[2]*_[2]*d),g=o.Z.matMatMult(g,this.matrix3DRot)):this.matrix3DRot},updateAngleSliderBounds:function(){var t,e,i,s,r,n,a,h,l,c,d;this.trackballEnabled=this.evalVisProp("trackball.enabled"),this.trackballEnabled?(this.az_slide.setMin(0),this.az_slide.setMax(2*Math.PI),this.el_slide.setMin(-.5*Math.PI),this.el_slide.setMax(.5*Math.PI),this.bank_slide.setMin(-Math.PI),this.bank_slide.setMax(Math.PI)):(this.az_slide.setMin(this.visProp.az.slider.min),this.az_slide.setMax(this.visProp.az.slider.max),this.el_slide.setMin(this.visProp.el.slider.min),this.el_slide.setMax(this.visProp.el.slider.max),this.bank_slide.setMin(this.visProp.bank.slider.min),this.bank_slide.setMax(this.visProp.bank.slider.max)),t=this.az_slide._smax,e=this.az_slide._smin,i=this.el_slide._smax,s=this.el_slide._smin,c=this.bank_slide._smax,d=this.bank_slide._smin,this.trackballEnabled?(r=o.Z.mod(this.angles.el,2*Math.PI),.5*Math.PI<r&&r<1.5*Math.PI&&(this.angles.el=Math.PI-r,this.angles.az=o.Z.wrap(this.angles.az+Math.PI,e,t),this.angles.bank=o.Z.wrap(this.angles.bank+Math.PI,d,c)),this.angles.az=o.Z.wrap(this.angles.az,e,t),this.angles.el=o.Z.wrap(this.angles.el,s,i),this.angles.bank=o.Z.wrap(this.angles.bank,d,c)):(l=function(t){return t<s?s-t:i<t?t-i:0},n=.5*(s+i),a=o.Z.wrap(this.angles.el,n-Math.PI,n+Math.PI),h=o.Z.wrap(Math.PI-this.angles.el,n-Math.PI,n+Math.PI),l(a)<=l(h)?this.angles.el=o.Z.clamp(a,s,i):(this.angles.el=o.Z.clamp(h,s,i),this.angles.az=o.Z.wrap(this.angles.az+Math.PI,e,t),this.angles.bank=o.Z.wrap(this.angles.bank+Math.PI,d,c)),this.angles.az=o.Z.wrapAndClamp(this.angles.az,e,t,2*Math.PI),this.angles.bank=o.Z.wrapAndClamp(this.angles.bank,d,c,2*Math.PI),this.matrix3DRot=this.getRotationFromAngles()),this.setSlidersFromAngles()},_updateCentralProjection:function(){var t,e;return"auto"===(t=this.evalVisProp("r"))&&(t=1.01*o.Z.hypot(this.bbox3D[0][0]-this.bbox3D[0][1],this.bbox3D[1][0]-this.bbox3D[1][1],this.bbox3D[2][0]-this.bbox3D[2][1])),this.boxToCam=this.matrix3DRot.map((function(t){return t.slice()})),this.boxToCam[3][0]=-t,this.focalDist=1/Math.tan(.5*this.evalVisProp("fov")),e=[[0,0,0,-1],[0,this.focalDist,0,0],[0,0,this.focalDist,0],[320/-12,0,0,28/-12]],o.Z.matMatMult(e,this.boxToCam)},update:function(){var t,e,i,r,n,a=this.r,h=[[1,0,0,0],[0,-a,0,0],[0,0,-a,0],[0,0,0,1]];if(!(s.Z.exists(this.el_slide)&&s.Z.exists(this.az_slide)&&s.Z.exists(this.bank_slide)&&this.needsUpdate))return this.needsUpdate=!1,this;if(t=[[1,0,0],[0,1,0],[0,0,1]],this.projectionType=this.evalVisProp("projection").toLowerCase(),this.trackballEnabled!==this.evalVisProp("trackball.enabled")&&this.updateAngleSliderBounds(),this._hasMoveTrackball?(this.matrix3DRot=this.updateProjectionTrackball(),this.setAnglesFromRotation()):this.anglesHaveMoved()&&(this.getAnglesFromSliders(),this.matrix3DRot=this.getRotationFromAngles()),this.shift=[[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]],"central"===this.projectionType)i=.8,t[1][1]=this.size[0]/i,t[2][2]=this.size[1]/i,t[1][0]=this.llftCorner[0]+.5*t[1][1]*i,t[2][0]=this.llftCorner[1]+.5*t[2][2]*i,this.viewPortTransform=t,e=this._updateCentralProjection(),this.matrix3D=o.Z.matMatMult(e,this.shift);else r=this.bbox3D[0][1]-this.bbox3D[0][0],n=this.bbox3D[1][1]-this.bbox3D[1][0],t[1][1]=this.size[0]/r,t[2][2]=this.size[1]/n,t[1][0]=this.llftCorner[0]+.5*t[1][1]*r,t[2][0]=this.llftCorner[1]+.5*t[2][2]*n,this.matrix3D=o.Z.matMatMult(t,o.Z.matMatMult(o.Z.matMatMult(this.matrix3DRot,h),this.shift).slice(0,3));return this.matrix3DRotShift=o.Z.matMatMult(this.matrix3DRot,this.shift),this},compareDepth:function(t,e){return t.zIndex-e.zIndex},updateZIndices:function(){var t,e;for(t in this.objects)this.objects.hasOwnProperty(t)&&((e=this.objects[t]).type===i.Z.OBJECT_TYPE_LINE3D||e.type===i.Z.OBJECT_TYPE_POLYGON3D)&&s.Z.exists(e.element2D)&&e.element2D.evalVisProp("visible")&&e.updateZIndex()},updateShaders:function(){var t,e,i;for(t in this.objects)this.objects.hasOwnProperty(t)&&(e=this.objects[t],s.Z.exists(e.shader)&&((i=e.shader())<this.zIndexMin?this.zIndexMin=i:i>this.zIndexMax&&(this.zIndexMax=i)))},updateDepthOrdering:function(){var t,e,r,o,n,a,h;for(a=this.evalVisProp("depthorder.layers"),r=0;r<a.length;r++)this.depthOrdered[a[r]]=[];for(t in this.objects)this.objects.hasOwnProperty(t)&&((e=this.objects[t]).type===i.Z.OBJECT_TYPE_FACE3D||e.type===i.Z.OBJECT_TYPE_LINE3D||e.type===i.Z.OBJECT_TYPE_POINT3D||e.type===i.Z.OBJECT_TYPE_POLYGON3D)&&s.Z.exists(e.element2D)&&e.element2D.evalVisProp("visible")&&(h=e.element2D.evalVisProp("layer"),a.indexOf(h)>=0&&this.depthOrdered[h].push(e));if(this.board.renderer&&"svg"===this.board.renderer.type)for(r=0;r<a.length;r++)for(h=a[r],this.depthOrdered[h].sort(this.compareDepth.bind(this)),n=this.depthOrdered[h],o=0;o<n.length;o++)this.board.renderer.setLayer(n[o].element2D,h);return this},updateRenderer:function(){return this.needsUpdate?(this.depthOrdered={},void 0!==this.shift&&this.evalVisProp("depthorder.enabled")&&(this.updateZIndices(),this.updateShaders(),this.board.renderer&&"svg"===this.board.renderer.type&&this.updateDepthOrdering()),this.needsUpdate=!1,this):this},removeObject:function(e,i){var r,o;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{for(o in e.childElements)e.childElements.hasOwnProperty(o)&&this.removeObject(e.childElements[o]);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},worldToFocal:function(t,e=!0){var i,s=o.Z.matVecMult(this.boxToCam,o.Z.matVecMult(this.shift,t));if(s[3]-=s[0]*this.focalDist,e)return s;for(i=1;i<4;i++)s[i]/=s[0];return s.slice(1,4)},project3DTo2D:function(t,e,i){var s,r;return 3===arguments.length?s=[1,t,e,i]:3===t.length?(s=t.slice()).unshift(1):s=t,r=o.Z.matVecMult(this.matrix3D,s),"central"===this.projectionType?(r[1]/=r[0],r[2]/=r[0],r[3]/=r[0],r[0]/=r[0],o.Z.matVecMult(this.viewPortTransform,r.slice(0,3))):r},_getW0:function(t,e,i){var s,r=o.Z.inverse(t),n=r[0][0]+e[1]*r[0][1]+e[2]*r[0][2],a=r[3][0]+e[1]*r[3][1]+e[2]*r[3][2];return s=i*r[0][3]-r[3][3],[1/((a*r[0][3]-n*r[3][3])/s),(a-n*i)/s]},project2DTo3DPlane:function(t,e,i){var s,r,n,a,h,l,c,d,u=i.slice(1)||[0,0,0],p=e.slice(1);if(a=o.Z.norm(p,3),n=o.Z.innerProduct(u,p,3)/a,"parallel"===this.projectionType){(s=this.matrix3D.slice(0,3)).push([0,p[0],p[1],p[2]]),(r=t.coords.usrCoords.slice()).push(n);try{1===s[2][3]&&(s[2][1]=s[2][2]=.001*o.Z.eps),h=o.Z.Numerics.Gauss(s,r)}catch(t){h=[0,NaN,NaN,NaN]}}else{s=this.matrix3D,r=t.coords.usrCoords.slice(),l=o.Z.Numerics.Gauss(this.viewPortTransform,r),c=(d=this._getW0(s,l,n))[0],r=[l[0]*c,l[1]*c,l[2]*c,d[1]*c];try{1===s[2][3]&&(s[2][1]=s[2][2]=.001*o.Z.eps),(h=o.Z.Numerics.Gauss(s,r))[1]/=h[0],h[2]/=h[0],h[3]/=h[0],h[0]/=h[0]}catch(t){h=[0,NaN,NaN,NaN]}}return h},projectScreenToSegment:function(t,e,i){var s,r,n,a,h,l,c,d=this.project3DTo2D(e).slice(1,3),u=this.project3DTo2D(i).slice(1,3),p=[u[0]-d[0],u[1]-d[1]],f=o.Z.innerProduct(p,p),_=[t[0]-d[0],t[1]-d[1]],m=o.Z.innerProduct(_,p)/f;return"central"===this.projectionType?(s=[.5*(e[0]+i[0]),.5*(e[1]+i[1]),.5*(e[2]+i[2])],n=[(r=this.project3DTo2D(s).slice(1,3))[0]-d[0],r[1]-d[1]],h=(1-(a=o.Z.innerProduct(n,p)/f))*m/((1-2*a)*m+a)):h=m,[1,(c=1-(l=Math.min(Math.max(h,0),1)))*e[0]+l*i[0],c*e[1]+l*i[1],c*e[2]+l*i[2]]},project2DTo3DVertical:function(t,e){var i=t.coords.usrCoords.slice(1,3),s=[e[1],e[2],this.bbox3D[2][0]],r=[e[1],e[2],this.bbox3D[2][1]];return this.projectScreenToSegment(i,s,r)},project3DToCube:function(t){var e=this.bbox3D,i=!1;return t[1]<e[0][0]&&(t[1]=e[0][0],i=!0),t[1]>e[0][1]&&(t[1]=e[0][1],i=!0),t[2]<e[1][0]&&(t[2]=e[1][0],i=!0),t[2]>e[1][1]&&(t[2]=e[1][1],i=!0),t[3]<=e[2][0]&&(t[3]=e[2][0],i=!0),t[3]>=e[2][1]&&(t[3]=e[2][1],i=!0),[t,i]},intersectionLineCube:function(t,e,i){var s,r,o,n,a;for(a=3===e.length?e:e.slice(1),s=i,r=0;r<3;r++)0!==a[r]&&(o=(this.bbox3D[r][0]-t[r+1])/a[r],n=(this.bbox3D[r][1]-t[r+1])/a[r],s=i<0?Math.max(s,Math.min(o,n)):Math.min(s,Math.max(o,n)));return s},isInCube:function(t,e){var i;if(4===t.length){if(0===t[0])return!1;i=t.slice(1)}return i[0]>this.bbox3D[0][0]-o.Z.eps&&i[0]<this.bbox3D[0][1]+o.Z.eps&&i[1]>this.bbox3D[1][0]-o.Z.eps&&i[1]<this.bbox3D[1][1]+o.Z.eps&&i[2]>this.bbox3D[2][0]-o.Z.eps&&i[2]<this.bbox3D[2][1]+o.Z.eps},intersectionPlanePlane:function(t,e,i){var s,r,n,a,h,l=[!1,!1];return i=i||e.d,(a=o.Z.crossProduct(t.normal.slice(1),e.normal.slice(1))).unshift(0),s=o.Z.Geometry.meet3Planes(t.normal,t.d,e.normal,i,a,0),h=o.Z.Geometry.meetPlanePlane(t.vec1,t.vec2,e.vec1,e.vec2),n=this.intersectionLineCube(s,h,1/0),r=o.Z.axpy(n,h,s),this.isInCube(r)&&(l[0]=r),n=this.intersectionLineCube(s,h,-1/0),r=o.Z.axpy(n,h,s),this.isInCube(r)&&(l[1]=r),l},intersectionPlaneFace:function(t,e){var i,s,r,n,a,l,c,u,p,f,_,m,g,b,v,Z,C=[],y=[],P=[];for((Z=o.Z.crossProduct(t.normal.slice(1),e.normal.slice(1))).unshift(0),r=h.Z.meet3Planes(t.normal,t.d,e.normal,e.d,Z,0),b=h.Z.meetPlanePlane(t.vec1,t.vec2,e.vec1,e.vec2),u=e.polyhedron.faces[e.faceNumber],n=e.polyhedron.coords,p=u.length,i=1;i<=p;i++)a=n[u[i-1]],v=[0,(l=n[u[i%p]])[1]-a[1],l[2]-a[2],l[3]-a[3]],f=Math.random(),_=Math.random(),m=Math.random(),g=Math.random(),y=[[f*b[1]+_*b[3],f*-v[1]+_*-v[3]],[m*b[2]+g*b[3],m*-v[2]+g*-v[3]]],P=[f*(a[1]-r[1])+_*(a[3]-r[3]),m*(a[2]-r[2])+g*(a[3]-r[3])],(s=d.Z.Gauss(y,P)[1])>-o.Z.eps&&s<1+o.Z.eps&&(c=[1,a[1]+s*v[1],a[2]+s*v[2],a[3]+s*v[3]],C.push(c));return C},intersectionPlanePolyhedron:function(t,e){var i,s,r,o,n,a,l=1e-12,c=[],d=[],u=[],p=[];for(i=0;i<e.numberFaces;i++)if(!(e.def.faces[i].length<3||(r=this.intersectionPlaneFace(t,e.faces[i])).length<2||4!==r[0].length||4!==r[1].length)){for(s=0;s<c.length&&!(h.Z.distance(r[0],c[s][0],4)<l&&h.Z.distance(r[1],c[s][1],4)<l||h.Z.distance(r[0],c[s][1],4)<l&&h.Z.distance(r[1],c[s][0],4)<l);s++);s===c.length&&c.push(r.slice())}if(0===c.length)return{X:d,Y:u,Z:p};n=0,i=0;do{for(4===(o=c[n][i]).length&&(d.push(o[1]),u.push(o[2]),p.push(o[3])),i=(i+1)%2,o=c[n][i],a=n,s=0;s<c.length;s++){if(s!==n&&h.Z.distance(o,c[s][0])<l){n=s,i=0;break}if(s!==n&&h.Z.distance(o,c[s][1])<l){n=s,i=1;break}}if(n===a){console.log("Error face3d intersection update: did not find next",n,i);break}}while(0!==n);return d.push(d[0]),u.push(u[0]),p.push(p[0]),{X:d,Y:u,Z:p}},getMesh:function(t,e,i){var r,o,n,a,h,l,c,d=[0,0,0],u=s.Z.evaluate(e[2]),p=s.Z.evaluate(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._change3DView=!0,this.board.update(),this.board._change3DView=!1,this.timeoutAzimuth=setTimeout(function(){this.animateAzimuth()}.bind(this),200)},stopAzimuth:function(){clearTimeout(this.timeoutAzimuth),this.timeoutAzimuth=null},isVerticalDrag:function(){var t=this.board;return!!this.evalVisProp("verticaldrag.enabled")&&t["_"+this.evalVisProp("verticaldrag.key")+"Key"]},setView:function(t,e,i){return i=i||this.r,this.az_slide.setValue(t),this.el_slide.setValue(e),this.r=i,this.board.update(),this},nextView:function(){var t=this.evalVisProp("values"),e=this.visProp._currentview;return e=(e+1)%t.length,this.setCurrentView(e),this},previousView:function(){var t=this.evalVisProp("values"),e=this.visProp._currentview;return e=(e+t.length-1)%t.length,this.setCurrentView(e),this},setCurrentView:function(t){var e=this.evalVisProp("values");return(t<0||t>=e.length)&&(t=(t%e.length+e.length)%e.length),this.setView(e[t][0],e[t][1],e[t][2]),this.visProp._currentview=t,this},_azEventHandler:function(t){var e=this.az_slide._smax,i=this.az_slide._smin,s=(e-i)/this.board.canvasWidth*this.evalVisProp("az.pointer.speed"),r=t.movementX,n=this.az_slide.Value(),a=this.el_slide.Value();return this.board.mode===this.board.BOARD_MODE_DRAG||(this.evalVisProp("az.keyboard.enabled")&&("ArrowRight"===t.key?n+=this.evalVisProp("az.keyboard.step")*Math.PI/180:"ArrowLeft"===t.key&&(n-=this.evalVisProp("az.keyboard.step")*Math.PI/180)),this.evalVisProp("az.pointer.enabled")&&0!==r&&null==t.key&&(n+=r*s),this.evalVisProp("az.continuous")?n=o.Z.wrap(n,i,e):n>0?n=Math.min(e,n):n<0&&(n=Math.max(i,n)),this.setView(n,a)),this},_elEventHandler:function(t){var e=this.el_slide._smax,i=this.el_slide._smin,s=(e-i)/this.board.canvasHeight*this.evalVisProp("el.pointer.speed"),r=t.movementY,n=this.az_slide.Value(),a=this.el_slide.Value();return this.board.mode===this.board.BOARD_MODE_DRAG||(this.evalVisProp("el.keyboard.enabled")&&("ArrowUp"===t.key?a-=this.evalVisProp("el.keyboard.step")*Math.PI/180:"ArrowDown"===t.key&&(a+=this.evalVisProp("el.keyboard.step")*Math.PI/180)),this.evalVisProp("el.pointer.enabled")&&0!==r&&null==t.key&&(a+=r*s),this.evalVisProp("el.continuous")&&!this.trackballEnabled?a=o.Z.wrap(a,i,e):a>0?a=Math.min(e,a):a<0&&(a=Math.max(i,a)),this.setView(n,a)),this},_bankEventHandler:function(t){var e,i=this.bank_slide._smax,s=this.bank_slide._smin,r=t.deltaY,n=this.bank_slide.Value();return this.board.mode===this.board.BOARD_MODE_DRAG||(this.evalVisProp("bank.keyboard.enabled")&&(e=this.evalVisProp("bank.keyboard.step")*Math.PI/180,"."===t.key||"<"===t.key?n-=e:","!==t.key&&">"!==t.key||(n+=e)),this.evalVisProp("bank.pointer.enabled")&&0!==r&&null==t.key&&(n+=r*((i-s)/this.board.canvasHeight*this.evalVisProp("bank.pointer.speed")),t.preventDefault()),n=this.evalVisProp("bank.continuous")?o.Z.wrap(n,s,i):o.Z.clamp(n,s,i),this.bank_slide.setValue(n),this.board.update()),this},_trackballHandler:function(t){var e,s,r,o=this.board.getMousePosition(t);return r=new u.Z(i.Z.COORDS_BY_USER,[this.llftCorner[0]+.5*this.size[0],this.llftCorner[1]+.5*this.size[1]],this.board),e=o[0]-r.scrCoords[1],s=o[1]-r.scrCoords[2],this._trackball={dx:t.movementX,dy:-t.movementY,x:e,y:-s},this.board.update(),this},pointerDownHandler:function(t){var i,s,r;this._hasMoveAz=!1,this._hasMoveEl=!1,this._hasMoveBank=!1,this._hasMoveTrackball=!1,this.board.mode===this.board.BOARD_MODE_NONE&&(this.board._change3DView=!0,this.evalVisProp("trackball.enabled")?(i=this.evalVisProp("trackball.button"),s=this.evalVisProp("trackball.key"),-1!==i&&i!==t.button||!("none"===s||s.indexOf("shift")>-1&&t.shiftKey||s.indexOf("ctrl")>-1&&t.ctrlKey)||(r=this.evalVisProp("trackball.outside")?document:this.board.containerObj,e.Z.addEvent(r,"pointermove",this._trackballHandler,this),this._hasMoveTrackball=!0)):(this.evalVisProp("az.pointer.enabled")&&(i=this.evalVisProp("az.pointer.button"),s=this.evalVisProp("az.pointer.key"),-1!==i&&i!==t.button||!("none"===s||s.indexOf("shift")>-1&&t.shiftKey||s.indexOf("ctrl")>-1&&t.ctrlKey)||(r=this.evalVisProp("az.pointer.outside")?document:this.board.containerObj,e.Z.addEvent(r,"pointermove",this._azEventHandler,this),this._hasMoveAz=!0)),this.evalVisProp("el.pointer.enabled")&&(i=this.evalVisProp("el.pointer.button"),s=this.evalVisProp("el.pointer.key"),-1!==i&&i!==t.button||!("none"===s||s.indexOf("shift")>-1&&t.shiftKey||s.indexOf("ctrl")>-1&&t.ctrlKey)||(r=this.evalVisProp("el.pointer.outside")?document:this.board.containerObj,e.Z.addEvent(r,"pointermove",this._elEventHandler,this),this._hasMoveEl=!0)),this.evalVisProp("bank.pointer.enabled")&&(i=this.evalVisProp("bank.pointer.button"),s=this.evalVisProp("bank.pointer.key"),-1!==i&&i!==t.button||!("none"===s||s.indexOf("shift")>-1&&t.shiftKey||s.indexOf("ctrl")>-1&&t.ctrlKey)||(r=this.evalVisProp("bank.pointer.outside")?document:this.board.containerObj,e.Z.addEvent(r,"wheel",this._bankEventHandler,this,{passive:!1}),this._hasMoveBank=!0))),e.Z.addEvent(document,"pointerup",this.pointerUpHandler,this))},pointerUpHandler:function(t){var i;this._hasMoveAz&&(i=this.evalVisProp("az.pointer.outside")?document:this.board.containerObj,e.Z.removeEvent(i,"pointermove",this._azEventHandler,this),this._hasMoveAz=!1),this._hasMoveEl&&(i=this.evalVisProp("el.pointer.outside")?document:this.board.containerObj,e.Z.removeEvent(i,"pointermove",this._elEventHandler,this),this._hasMoveEl=!1),this._hasMoveBank&&(i=this.evalVisProp("bank.pointer.outside")?document:this.board.containerObj,e.Z.removeEvent(i,"wheel",this._bankEventHandler,this),this._hasMoveBank=!1),this._hasMoveTrackball&&(i=this.evalVisProp("trackball.outside")?document:this.board.containerObj,e.Z.removeEvent(i,"pointermove",this._trackballHandler,this),this._hasMoveTrackball=!1),e.Z.removeEvent(document,"pointerup",this.pointerUpHandler,this),this.board._change3DView=!1}}),t.Z.createView3D=function(i,r,n){var a,h,l,c,d,u,p,f,_,m,g,b,v=r[0],Z=r[1];return h=s.Z.copyAttributes(n,i.options,"view3d"),(a=new t.Z.View3D(i,r,h)).defaultAxes=a.create("axes3d",[],h),u=v[0],p=v[1],f=Z[0],_=Z[1],(l=s.Z.copyAttributes(h,i.options,"view3d","az","slider")).name="az",(c=s.Z.copyAttributes(h,i.options,"view3d","el","slider")).name="el",(d=s.Z.copyAttributes(h,i.options,"view3d","bank","slider")).name="bank",b=s.Z.evaluate(l.point1.pos),m=s.Z.isArray(b)?b:[u-1,p-2],b=s.Z.evaluate(l.point2.pos),g=s.Z.isArray(b)?b:[u+f+1,p-2],a.az_slide=i.create("slider",[m,g,[s.Z.evaluate(l.min),s.Z.evaluate(l.start),s.Z.evaluate(l.max)]],l),a.inherits.push(a.az_slide),a.az_slide.elType="view3d_slider",b=s.Z.evaluate(c.point1.pos),m=s.Z.isArray(b)?b:[u-1,p],b=s.Z.evaluate(c.point2.pos),g=s.Z.isArray(b)?b:[u-1,p+_],a.el_slide=i.create("slider",[m,g,[s.Z.evaluate(c.min),s.Z.evaluate(c.start),s.Z.evaluate(c.max)]],c),a.inherits.push(a.el_slide),a.el_slide.elType="view3d_slider",b=s.Z.evaluate(d.point1.pos),m=s.Z.isArray(b)?b:[u-1,p+_+2],b=s.Z.evaluate(d.point2.pos),g=s.Z.isArray(b)?b:[u+f+1,p+_+2],a.bank_slide=i.create("slider",[m,g,[s.Z.evaluate(d.min),s.Z.evaluate(d.start),s.Z.evaluate(d.max)]],d),a.inherits.push(a.bank_slide),a.bank_slide.elType="view3d_slider",a.board.infobox.visProp=s.Z.merge(a.board.infobox.visProp,h.infobox),a.board.highlightInfobox=function(t,e,i){var r,n,h,l,c,d,u="",p=i.board,f=null;for(this.mode===this.BOARD_MODE_DRAG&&(u=a.isVerticalDrag()?'<span style="color:black; font-size:200%">⇅ &nbsp;</span>':'<span style="color:black; font-size:200%">⇄ &nbsp;</span>'),n=0;n<i.parents.length&&!(f=p.objects[i.parents[n]]).is3D;n++);if(f&&s.Z.exists(f.element2D)){if(l=[1,0,0,f.coords[3]],a._w0=o.Z.innerProduct(a.matrix3D[0],l,4),h=a.project2DTo3DPlane(f.element2D,[1,0,0,1],l),!a.isInCube(h))return void a.board.highlightCustomInfobox("",f);r=f.evalVisProp("infoboxdigits"),d=a.board.infobox,c="auto"===r?d.useLocale()?[u,"(",d.formatNumberLocale(f.X())," | ",d.formatNumberLocale(f.Y())," | ",d.formatNumberLocale(f.Z()),")"]:[u,"(",s.Z.autoDigits(f.X())," | ",s.Z.autoDigits(f.Y())," | ",s.Z.autoDigits(f.Z()),")"]:d.useLocale()?[u,"(",d.formatNumberLocale(f.X(),r)," | ",d.formatNumberLocale(f.Y(),r)," | ",d.formatNumberLocale(f.Z(),r),")"]:[u,"(",s.Z.toFixed(f.X(),r)," | ",s.Z.toFixed(f.Y(),r)," | ",s.Z.toFixed(f.Z(),r),")"],a.board.highlightCustomInfobox(c.join(""),f)}else a.board.highlightCustomInfobox("("+t+", "+e+")",i)},a.BOARD_MODE_NONE=0,e.Z.addEvent(i.containerObj,"keydown",(function(t){var e,i=!1;!a.evalVisProp("el.keyboard.enabled")||"ArrowUp"!==t.key&&"ArrowDown"!==t.key||("none"===(e=a.evalVisProp("el.keyboard.key"))||e.indexOf("shift")>-1&&t.shiftKey||e.indexOf("ctrl")>-1&&t.ctrlKey)&&(a._elEventHandler(t),i=!0),!a.evalVisProp("az.keyboard.enabled")||"ArrowLeft"!==t.key&&"ArrowRight"!==t.key||("none"===(e=a.evalVisProp("az.keyboard.key"))||e.indexOf("shift")>-1&&t.shiftKey||e.indexOf("ctrl")>-1&&t.ctrlKey)&&(a._azEventHandler(t),i=!0),!a.evalVisProp("bank.keyboard.enabled")||","!==t.key&&"<"!==t.key&&"."!==t.key&&">"!==t.key||("none"===(e=a.evalVisProp("bank.keyboard.key"))||e.indexOf("shift")>-1&&t.shiftKey||e.indexOf("ctrl")>-1&&t.ctrlKey)&&(a._bankEventHandler(t),i=!0),"PageUp"===t.key?(a.nextView(),i=!0):"PageDown"===t.key&&(a.previousView(),i=!0),i&&t.preventDefault(),this.board._change3DView=!1}),a),e.Z.addEvent(i.containerObj,"pointerdown",a.pointerDownHandler,a),a.getAnglesFromSliders(),a.matrix3DRot=a.getRotationFromAngles(),a.updateAngleSliderBounds(),a.board.update(),a},t.Z.registerElement("view3d",t.Z.createView3D);t.Z.View3D;t.Z.GeometryElement3D=function(t,e){this.elType=e,this.view=t,this.id=this.view.board.setId(this,e),this.element2D=null,this.is3D=!0,this.zIndex=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.element3d=this,e.id=null,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},addTransformGeneric:function(t,e){var i,r=s.Z.isArray(e)?e:[e],o=r.length;for(0===this.transformations.length&&(this.baseElement=t),i=0;i<o;i++)this.transformations.push(r[i]);return this},setPosition2D:function(t){},projectCoords:function(t,e){},remove:function(){}});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,y=e[0],P=["x","y","z"],E="Axis",x=["Rear","Front"],O=[0,0,0],w=[0,0,0],M={};if(s.Z.exists(y.bbox3D))for(r=0;r<P.length;r++)O[r]=y.bbox3D[r][0],w[r]=y.bbox3D[r][1];else for(r=0;r<P.length;r++)O[r]=e[1][r],w[r]=e[2][1];for(c=(l=s.Z.copyAttributes(i,t.options,"axes3d")).axesposition,r=0;r<P.length;r++)v=(d=P[r])+E,"center"===c?(p=[0,0,0],(f=[0,0,0])[r]=w[r],M[v]=y.create("axis3d",[p,f],l[v.toLowerCase()]),M[v].view=y):"border"===c&&(v+="Border",p=O.slice(),f=w.slice(),"z"===d?(p[1]=w[1],f[0]=O[0]):"x"===d?(p=[O[0],w[1],O[2]],f=[w[0],w[1],O[2]]):(p=[w[0],O[1],O[2]],f=[w[0],w[1],O[2]]),f[r]=w[r],M[v]=y.create("axis3d",[p,f],l[v.toLowerCase()]),M[v].view=y,(C=l[v.toLowerCase()].ticks3d).element3d=!0,u=w[r]-O[r],M[v+"Ticks"]="x"===d?y.create("ticks3d",[p,[1,0,0],u,[0,1,0]],C):"y"===d?y.create("ticks3d",[p,[0,1,0],u,[1,0,0]],C):y.create("ticks3d",[p,[0,0,1],u,[0,1,0]],C),M[v+"Ticks"].view=y);for("center"===c?(M.O=y.create("intersection",[M[P[0]+E],M[P[1]+E]],{name:"",visible:!1,withLabel:!1}),M.O.view=y):M.O=null,r=0;r<P.length;r++)for(a=(r+1)%3,h=(r+2)%3,d=P[r],o=0;o<x.length;o++)v=d+"Plane"+x[o],(p=[0,0,0])[r]=0===o?O[r]:w[r],m=[0,0,0],(_=[0,0,0])[a]=1,m[h]=1,g=[O[a],w[a]],b=[O[h],w[h]],l=s.Z.copyAttributes(i,t.options,"axes3d",v),M[v]=y.create("plane3d",[p,_,m,g,b],l),M[v].elType="axisplane3d";for(r=0;r<P.length;r++)for(d=P[r],o=0;o<x.length;o++)for(n=1;n<=2;n++)v=d+"Plane"+x[o]+P[a=(r+n)%3].toUpperCase()+"Axis",Z=d+"Plane"+x[o],(p=[0,0,0])[r]=(f=[0,0,0])[r]=0===o?O[r]:w[r],p[a]=O[a],f[a]=w[a],l=s.Z.copyAttributes(i,t.options,"axes3d",v),M[v]=y.create("axis3d",[p,f],l),M[v].view=y,M[Z].addChild(M[v]),M[Z].element2D.inherits.push(M[v]);return M},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")).element3d=!0,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")).element3d=!0,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")).element3d=!0,c.create("arrow",[o,n],r)},t.Z.registerElement("axis3d",t.Z.createAxis3D),t.Z.createMesh3D=function(e,i,r){var o,n,a=i[0];return(o=s.Z.copyAttributes(r,e.options,"mesh3d")).element3d=!0,(n=a.create("curve",[[],[]],o)).point=i[1],n.direction1=i[2],n.direction2=i[3],n.range1=i[4],n.range2=i[5],n.updateDataArray=function(){var e,i,r,o,n=s.Z.evaluate(this.range1),h=s.Z.evaluate(this.range2),l=n[0],c=n[1],d=h[0],u=h[1],p=[0,0,0],f=[0,0,0],_=this.evalVisProp("stepwidthu"),m=this.evalVisProp("stepwidthv"),g=[0,0,0];if(this.dataX=[],this.dataY=[],s.Z.isFunction(this.point))g=this.point();else if(s.Z.isPoint3D(this.point))g=this.point.coords;else for(o=0;o<this.point.length;o++)g[o]=s.Z.evaluate(this.point[o]);if(s.Z.isFunction(this.direction1))p=s.Z.evaluate(this.direction1);else for(o=0;o<this.direction1.length;o++)p[o]=s.Z.evaluate(this.direction1[o]);if(s.Z.isFunction(this.direction2))f=s.Z.evaluate(this.direction2);else for(o=0;o<this.direction2.length;o++)f[o]=s.Z.evaluate(this.direction2[o]);for(4===g.length&&(g=g.slice(1)),4===p.length&&(p=p.slice(1)),4===f.length&&(f=f.slice(1)),e=t.Z.Math.norm(p,3),i=t.Z.Math.norm(f,3),o=0;o<3;o++)p[o]/=e,f[o]/=i;r=a.getMesh([function(t,e){return g[0]+t*p[0]+e*f[0]},function(t,e){return g[1]+t*p[1]+e*f[1]},function(t,e){return g[2]+t*p[2]+e*f[2]}],[Math.ceil(l),Math.floor(c),(Math.ceil(c)-Math.floor(l))/_],[Math.ceil(d),Math.floor(u),(Math.ceil(u)-Math.floor(d))/m]),this.dataX=r[0],this.dataY=r[1]},n},t.Z.registerElement("mesh3d",t.Z.createMesh3D),t.Z.Circle3D=function(t,e,r,n,a){var h,l;this.constructor(t.board,a,i.Z.OBJECT_TYPE_CIRCLE3D,i.Z.OBJECT_CLASS_3D),this.constructor3D(t,"circle3d"),this.center=this.board.select(e),this.normalFunc=r,this.normal=[0,0,0,0],this.curve,this.frame1,this.frame2,s.Z.exists(this.center._is_new)?(this.addChild(this.center),delete this.center._is_new):this.center.addChild(this),this.updateRadius=s.Z.createFunction(n,this.board),this.addParentsFromJCFunctions([this.updateRadius]),this.updateNormal(),this.frame1=o.Z.crossProduct(this.normal.slice(1),[1,0,0]),this.frame1.unshift(0),(h=o.Z.crossProduct(this.normal.slice(1),[-.5,.8660254037844386,0])).unshift(0),o.Z.norm(h)>o.Z.norm(this.frame1)&&(this.frame1=h),this.frame2=o.Z.crossProduct(this.normal.slice(1),this.frame1.slice(1)),this.frame2.unshift(0),this.normalizeFrame(),l=this,this.curve=t.create("curve3d",[function(t){var e=l.Radius(),i=Math.sin(t),s=Math.cos(t);return[l.center.coords[1]+e*(s*l.frame1[1]+i*l.frame2[1]),l.center.coords[2]+e*(s*l.frame1[2]+i*l.frame2[2]),l.center.coords[3]+e*(s*l.frame1[3]+i*l.frame2[3])]},[0,2*Math.PI]],a)},t.Z.Circle3D.prototype=new t.Z.GeometryElement,s.Z.copyPrototypeMethods(t.Z.Circle3D,t.Z.GeometryElement3D,"constructor3D"),t.Z.extend(t.Z.Circle3D.prototype,{update:function(){return this.needsUpdate&&(this.updateNormal().updateFrame(),this.curve.visProp.visible=!isNaN(this.Radius())),this},updateRenderer:function(){return this.needsUpdate=!1,this},setRadius:function(t){return this.updateRadius=s.Z.createFunction(t,this.board),this.addParentsFromJCFunctions([this.updateRadius]),this.board.update(),this},Radius:function(t){return s.Z.exists(t)?(this.setRadius(t),this.Radius()):Math.abs(this.updateRadius())},normalizeFrame:function(){var t,e=o.Z.norm(this.frame1),i=o.Z.norm(this.frame2);for(t=0;t<4;t++)this.frame1[t]/=e,this.frame2[t]/=i;return this},updateNormal:function(){var t,e;if(this.normal=s.Z.evaluate(this.normalFunc),e=o.Z.norm(this.normal),Math.abs(e)>1e-12)for(t=0;t<4;t++)this.normal[t]/=e;return this},updateFrame:function(){return this.frame1=o.Z.crossProduct(this.frame2.slice(1),this.normal.slice(1)),this.frame1.unshift(0),this.frame2=o.Z.crossProduct(this.normal.slice(1),this.frame1.slice(1)),this.frame2.unshift(0),this.normalizeFrame(),this},projectCoords:function(t,e){return this.curve.projectCoords(t,e)}}),t.Z.createCircle3D=function(e,i,r){var o,n=i[0],a=s.Z.copyAttributes(r,e.options,"circle3d"),h=s.Z.providePoints3D(n,[i[1]],r,"circle3d",["point"])[0],l=i[2],c=i[3];return(o=new t.Z.Circle3D(n,h,l,c,a)).curve.addParents([o]),o.addChild(o.curve),o.update(),o},t.Z.registerElement("circle3d",t.Z.createCircle3D),t.Z.createIntersectionCircle3D=function(t,e,r){var o,n,a,l=e[0],c=e[1],d=e[2],u=s.Z.copyAttributes(r,t.options,"intersectioncircle3d");a=h.Z.intersectionFunction3D(l,c,d),n=l.create("point3d",a[0],{visible:!1}),o=l.create("circle3d",[n,a[1],a[2]],u);try{c.addChild(o),d.addChild(o)}catch(t){throw new Error("JSXGraph: Can't create 'intersection' with parent types '"+typeof e[1]+"' and '"+typeof e[2]+"'.")}return o.type=i.Z.OBJECT_TYPE_INTERSECTION_CIRCLE3D,o.elType="intersectioncircle3d",o.setParents([c.id,d.id]),o},t.Z.registerElement("intersectioncircle3d",t.Z.createIntersectionCircle3D),t.Z.Point3D=function(t,e,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.initialCoords=[0,0,0,0],this.F=e,this.slide=r,this.position=[],this.movePath=[],this.moveCallback=null,this.moveInterval=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,{X:function(){return this.coords[1]},Y:function(){return this.coords[2]},Z:function(){return this.coords[3]},W:function(){return this.coords[0]},updateCoords:function(){var t,e=0;if(s.Z.isFunction(this.F))this.coords=s.Z.evaluate(this.F),3===this.coords.length&&this.coords.unshift(1);else for(3===this.F.length&&(this.coords[0]=1,e=1),t=0;t<this.F.length;t++)s.Z.isFunction(this.F[t])&&(this.coords[e+t]=s.Z.evaluate(this.F[t]));return this},initCoords:function(){var t,e=0;if(s.Z.isFunction(this.F))this.coords=s.Z.evaluate(this.F),3===this.coords.length&&this.coords.unshift(1);else for(3===this.F.length&&(this.coords[0]=1,e=1),t=0;t<this.F.length;t++)this.coords[e+t]=s.Z.evaluate(this.F[t]);return this.initialCoords=this.coords.slice(),this},normalizeCoords:function(){return Math.abs(this.coords[0])>1e-14&&(this.coords[1]/=this.coords[0],this.coords[2]/=this.coords[0],this.coords[3]/=this.coords[0],this.coords[0]=1),this},setPosition:function(t,e){var i=this.coords;return 3===t.length?(i[0]=1,i[1]=t[0],i[2]=t[1],i[3]=t[2]):(i[0]=t[0],i[1]=t[1],i[2]=t[2],i[3]=t[2],this.normalizeCoords()),this},addTransform:function(t,e){return this.addTransformGeneric(t,e),this},updateTransform:function(){var t,e;if(0===this.transformations.length||null===this.baseElement)return this;for(t=this===this.baseElement?this.initialCoords:this.baseElement.coords,e=0;e<this.transformations.length;e++)this.transformations[e].update(),t=o.Z.matVecMult(this.transformations[e].matrix,t);return this.coords=t,this},update:function(t){var e,s,r;return this.element2D.draggable()&&0!==h.Z.distance(this._c2d,this.element2D.coords.usrCoords)?(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]&&(r=this.view.project3DToCube(e),this.coords=r[0],r[1]&&this.element2D.coords.setCoordinates(i.Z.COORDS_BY_USER,this.view.project3DTo2D(this.coords)),this.slide&&(this.coords=this.slide.projectCoords([1,this.X(),this.Y(),this.Z()],this.position),this.element2D.coords.setCoordinates(i.Z.COORDS_BY_USER,this.view.project3DTo2D(this.coords))))):(this.updateCoords().updateTransform(),this.slide&&(this.coords=this.slide.projectCoords([1,this.X(),this.Y(),this.Z()],this.position)),e=this.coords,this.element2D.coords.setCoordinates(i.Z.COORDS_BY_USER,this.view.project3DTo2D(e)),this.zIndex=o.Z.innerProduct(this.view.matrix3DRotShift[3],e)),this._c2d=this.element2D.coords.usrCoords.slice(),this},updateRenderer:function(){return this.needsUpdate=!1,this},testIfFinite:function(){return Math.abs(this.coords[0])>1e-12},distance:function(t){var e=this.coords,i=t.coords;return e[0]*e[0]>1e-12&&i[0]*i[0]>1e-12?o.Z.hypot(i[1]-e[1],i[2]-e[2],i[3]-e[3]):Number.POSITIVE_INFINITY},moveTo:function(t,e,i){i=i||{};var r,n,a=Math.ceil(e/this.board.attr.animationdelay),h=t[0],l=t[1],c=t[2],d=this.coords[1]-h,u=this.coords[2]-l,p=this.coords[3]-c,f=()=>{};if(i.callback&&(f=i.callback),n=function(t){var e=t/a;if(i.effect){if("<>"===i.effect)return Math.pow(Math.sin(e*Math.PI/2),2);if("<"===i.effect)return e*e*e;if(">"===i.effect)return 1-Math.pow(1-e,3);if("=="===i.effect)return t/a;throw new Error("valid effects are '==', '<>', '>', and '<'.")}return t/a},!s.Z.exists(e)||0===e)return this.setPosition([h,l,c],!0),this.board.update(this);if(!s.Z.exists(i.callback)&&Math.abs(d)<o.Z.eps&&Math.abs(u)<o.Z.eps&&Math.abs(p)<o.Z.eps)return this;for(this.animationPath=[],r=a;r>=0;r--)this.animationPath[a-r]=[h+d*n(r),l+u*n(r),c+p*n(r)];return this.moveAlong(this.animationPath,e,{callback:f})},moveAlong:function(t,e,i){let r=e/t.length;if(s.Z.isObject(i)&&"callback"in i&&(this.moveCallback=i.callback),!(this.movePath.length>0))return this.movePath=t,new Promise(((t,e)=>{this.moveInterval=setInterval((()=>{if(this.movePath.length>0){let t=this.movePath.shift();this.setPosition(t,!0),this.board.update(this)}0===this.movePath.length&&(clearInterval(this.moveInterval),t(),s.Z.isFunction(this.moveCallback)&&this.moveCallback())}),r)}));this.movePath=t},__evt__update3D:function(t){}}),t.Z.createPoint3D=function(e,i,r){var o,n,a,h,l,c=i[0],d=null,u=null;if(a=i.length>2&&s.Z.exists(i[i.length-1].is3D)&&!s.Z.isTransformationOrArray(i[i.length-1])?i.pop():null,2===i.length)n=i[1];else if(3===i.length&&s.Z.isPoint3D(i[1])&&s.Z.isTransformationOrArray(i[2]))n=[0,0,0],d=i[1],u=i[2];else if(4===i.length)n=i.slice(1);else{if(5!==i.length)throw new Error("JSXGraph: Can't create point3d with parent types '"+typeof i[1]+"' and '"+typeof i[2]+"'.\nPossible parent types: [[x,y,z]], [x,y,z], or [[x,y,z], slide], () => [x, y, z], or [point, transformation(s)]");n=i.slice(1)}return o=s.Z.copyAttributes(r,e.options,"point3d"),(l=new t.Z.Point3D(c,n,a,o)).initCoords(),null!==d&&null!==u&&l.addTransform(d,u),h=c.project3DTo2D(l.coords),o=l.setAttr2D(o),l.element2D=c.create("point",h,o),l.element2D.view=c,l.addChild(l.element2D),l.inherits.push(l.element2D),l.element2D.setParents(l),l.slide&&(l.slide.addChild(l),l.setParents(l.slide)),d&&l.setParents(d),l._c2d=l.element2D.coords.usrCoords.slice(),l},t.Z.registerElement("point3d",t.Z.createPoint3D),t.Z.Curve3D=function(t,e,r,o,n,a,h){this.constructor(t.board,h,i.Z.OBJECT_TYPE_CURVE3D,i.Z.OBJECT_CLASS_3D),this.constructor3D(t,"curve3d"),this.board.finalizeAdding(this),this._F=e,this._X=r,this._Y=o,this._Z=n,this.points=[],this.numberPoints=0,this.dataX=null,this.dataY=null,this.dataZ=null,null!==this._F?(this._X=function(t){return this._F(t)[0]},this._Y=function(t){return this._F(t)[1]},this._Z=function(t){return this._F(t)[2]}):s.Z.isFunction(this._X)?this._F=function(t){return[this._X(t),this._Y(t),this._Z(t)]}:this._F=null,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,{updateCoords:function(){var t,e,i,r,o,n,a=this.evalVisProp("numberpointshigh"),h=[1,0,0,0];if(this.points=[],s.Z.exists(this.dataX))for(a=this.dataX.length,o=0;o<a;o++)this.points.push([1,this.dataX[o],this.dataY[o],this.dataZ[o]]);else if(s.Z.isArray(this._X))for(a=this._X.length,o=0;o<a;o++)this.points.push([1,this._X[o],this._Y[o],this._Z[o]]);else for(t=s.Z.evaluate(this.range),e=s.Z.evaluate(t[0]),r=((i=s.Z.evaluate(t[1]))-e)/(a-1),n=0,o=e;n<a&&o<=i;n++,o+=r)(h=this.F(o)).unshift(1),this.points.push(h);return this.numberPoints=this.points.length,this},evalF:function(t){var e,i,r=[0,0,0,0];if(0===this.transformations.length||!s.Z.exists(this.baseElement))return r=s.Z.exists(this._F)?this._F(t):[this._X[t],this._Y[t],this._Z[t]];for(e=this.transformations,i=0;i<e.length;i++)e[i].update();for(3===r.length&&r.unshift(1),(r=this===this.baseElement?s.Z.exists(this._F)?this._F(t):[this._X[t],this._Y[t],this._Z[t]]:this.baseElement.evalF(t)).unshift(1),r=o.Z.matVecMult(e[0].matrix,r),i=1;i<e.length;i++)r=o.Z.matVecMult(e[i].matrix,r);return r.slice(1)},F:function(t){return this.evalF(t)},X:function(t){return this.evalF(t)[0]},Y:function(t){return this.evalF(t)[1]},Z:function(t){return this.evalF(t)[2]},updateDataArray2D:function(){var t,e,i=[],s=[],r=this.points.length;for(t=0;t<r;t++)e=this.view.project3DTo2D(this.points[t]),i.push(e[1]),s.push(e[2]);return{X:i,Y:s}},addTransform:function(t,e){return this.addTransformGeneric(t,e),this},updateTransform:function(){var t,e,i,r,n;if(0===this.transformations.length||null===this.baseElement||s.Z.exists(this._F))return this;for(t=this.transformations,i=0;i<t.length;i++)t[i].update();for(n=this.baseElement.numberPoints,i=0;i<n;i++){for(e=this===this.baseElement?this.points[i]:this.baseElement.points[i],r=0;r<t.length;r++)e=o.Z.matVecMult(t[r].matrix,e);this.points[i]=e}return this.numberPoints=n,this},updateDataArray:function(){},update:function(){return this.needsUpdate&&(this.updateDataArray(),this.updateCoords().updateTransform()),this},updateRenderer:function(){return this.needsUpdate=!1,this},projectCoords:function(t,e){return h.Z.projectCoordsToParametric(t,this,1,e)}}),t.Z.createCurve3D=function(e,r,n){var a,h,l,c,d,u,p,f,_=r[0],m=null,g=null;return 3===r.length?s.Z.isTransformationOrArray(r[2])&&r[1].type===i.Z.OBJECT_TYPE_CURVE3D?(m=r[1],g=r[2],a=null,h=[],l=[],c=[]):(a=r[1],d=r[2],h=null,l=null,c=null):2===r.length&&s.Z.isArray(r[1])?(h=(f=o.Z.transpose(r[1]))[0],l=f[1],c=f[2],a=null):(h=r[1],l=r[2],c=r[3],d=r[4],a=null),u=s.Z.copyAttributes(n,e.options,"curve3d"),u=(p=new t.Z.Curve3D(_,a,h,l,c,d,u)).setAttr2D(u),p.element2D=_.create("curve",[[],[]],u),p.element2D.view=_,null!==m&&(p.addTransform(m,g),p.addParents(m)),p.element2D.updateDataArray=function(){var t=p.updateDataArray2D();this.dataX=t.X,this.dataY=t.Y},p.addChild(p.element2D),p.inherits.push(p.element2D),p.element2D.setParents(p),p.element2D.prepareUpdate().update(),e.isSuspendedUpdate||p.element2D.updateVisibility().updateRenderer(),p},t.Z.registerElement("curve3d",t.Z.createCurve3D),t.Z.createVectorfield3D=function(t,e,i){var r,n,a=e[0];if(!(e.length>=5&&(s.Z.isArray(e[1])||s.Z.isFunction(e[1])||s.Z.isString(e[1]))&&s.Z.isArray(e[2])&&3===e[1].length&&s.Z.isArray(e[3])&&3===e[2].length&&s.Z.isArray(e[4])&&3===e[3].length))throw new Error("JSXGraph: Can't create vector field 3D with parent types '"+typeof e[1]+"', '"+typeof e[2]+"', '"+typeof e[3]+"'.'"+typeof e[4]+"', ");return n=s.Z.copyAttributes(i,t.options,"vectorfield3d"),(r=a.create("curve3d",[[],[],[]],n)).setF=function(t,e){var i,o,n;return s.Z.isArray(t)?(i=s.Z.createFunction(t[0],this.board,e),o=s.Z.createFunction(t[1],this.board,e),n=s.Z.createFunction(t[2],this.board,e),this.F=function(t,e,s){return[i(t,e,s),o(t,e,s),n(t,e,s)]}):this.F=s.Z.createFunction(t,r.board,e),this},r.setF(e[1],"x, y, z"),r.xData=e[2],r.yData=e[3],r.zData=e[4],r.updateDataArray=function(){var e,i,r,n,a,h,l,c,d,u,p,f,_,m,g,b,v,Z=this.evalVisProp("scale"),C=[s.Z.evaluate(this.xData[0]),s.Z.evaluate(this.yData[0]),s.Z.evaluate(this.zData[0])],y=[s.Z.evaluate(this.xData[1]),s.Z.evaluate(this.yData[1]),s.Z.evaluate(this.zData[1])],P=[s.Z.evaluate(this.xData[2]),s.Z.evaluate(this.yData[2]),s.Z.evaluate(this.zData[2])],E=[(P[0]-C[0])/y[0],(P[1]-C[1])/y[1],(P[2]-C[2])/y[2]],x=this.evalVisProp("arrowhead.enabled");for(x&&(_=this.evalVisProp("arrowhead.size"),v=this.evalVisProp("arrowhead.angle"),m=_/t.unitX,g=_/t.unitY,b=_/Math.sqrt(t.unitX*t.unitY)),this.dataX=[],this.dataY=[],this.dataZ=[],i=0,h=C[0];i<=y[0];h+=E[0],i++)for(r=0,l=C[1];r<=y[1];l+=E[1],r++)for(e=0,c=C[2];e<=y[2];c+=E[2],e++)n=this.F(h,l,c),(a=o.Z.norm(n))<Number.EPSILON||(n[0]*=Z,n[1]*=Z,n[2]*=Z,s.Z.concat(this.dataX,[h,h+n[0],NaN]),s.Z.concat(this.dataY,[l,l+n[1],NaN]),s.Z.concat(this.dataZ,[c,c+n[2],NaN]),x&&(a*=Z,d=Math.atan2(n[1],n[0]),u=(f=Math.asin(n[2]/a))-v,p=f+v,s.Z.concat(this.dataX,[h+n[0]-m*Math.cos(d)*Math.cos(u),h+n[0],h+n[0]-m*Math.cos(d)*Math.cos(p),NaN]),s.Z.concat(this.dataY,[l+n[1]-g*Math.sin(d)*Math.cos(u),l+n[1],l+n[1]-g*Math.sin(d)*Math.cos(p),NaN]),s.Z.concat(this.dataZ,[c+n[2]-b*Math.sin(p),c+n[2],c+n[2]-b*Math.sin(u),NaN])))},r.methodMap=s.Z.deepCopy(r.methodMap,{setF:"setF"}),r},t.Z.registerElement("vectorfield3D",t.Z.createVectorfield3D),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.point=e,this.direction=r,this.vec=[0,0,0,0],this.range=o||[-1/0,1/0],this.point1=null,this.point2=null,this.board.finalizeAdding(this),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,{updateCoords:function(){var t,e=0;if(s.Z.exists(this.direction.view)&&this.direction.type===i.Z.OBJECT_TYPE_LINE3D)this.vec=this.direction.vec.slice();else if(s.Z.isFunction(this.direction))this.vec=s.Z.evaluate(this.direction),3===this.vec.length&&this.vec.unshift(0);else for(3===this.direction.length&&(this.vec[0]=0,e=1),t=0;t<this.direction.length;t++)this.vec[e+t]=s.Z.evaluate(this.direction[t]);return this},getPointCoords:function(t){var e,i,r;return e=this.point.coords,i=this.vec,r=s.Z.evaluate(t),t=this.view.intersectionLineCube(e,i,r),Math.abs(t)===1/0&&(t=0),[e[0]+i[0]*t,e[1]+i[1]*t,e[2]+i[2]*t,e[3]+i[3]*t]},addTransform:function(t,e){return this.point.addTransform(t.point,e),this.addTransformGeneric(t,e),this},updateTransform:function(){var t,e;if(0===this.transformations.length||null===this.baseElement)return this;for(t=this===this.baseElement?this.vec:this.baseElement.vec,e=0;e<this.transformations.length;e++)this.transformations[e].update(),t=o.Z.matVecMult(this.transformations[e].matrix,t);return this.vec=t,this},update:function(){return this.needsUpdate&&this.updateCoords().updateTransform(),this},setPosition2D:function(t){var e,i;for(e=0;e<this.parents.length;e++)"point3d"===(i=this.view.select(this.parents[e])).elType&&i.element2D.draggable()&&t.applyOnce(i.element2D);this.endpoints[0].update(),this.endpoints[1].update()},updateRenderer:function(){return this.needsUpdate=!1,this},projectCoords:function(t,e){var i,r=this.getPointCoords(0),n=this.getPointCoords(1),a=[n[0]-r[0],n[1]-r[1],n[2]-r[2]],h=[t[0]-r[0],t[1]-r[1],t[2]-r[2]],l=o.Z.innerProduct(h,a)/o.Z.innerProduct(a,a),c=Math.min(Math.max(l,s.Z.evaluate(this.range[0])),s.Z.evaluate(this.range[1]));return i=this.getPointCoords(c).slice(),e[0]=c,i},updateZIndex:function(){var t=this.endpoints[0],e=this.endpoints[1],i=[1,t.X()+e.X(),t.Y()+e.Y(),t.Z()+e.Z()];return i[1]*=.5,i[2]*=.5,i[3]*=.5,this.zIndex=o.Z.innerProduct(this.view.matrix3DRotShift[3],i),this}}),t.Z.createLine3D=function(e,r,o){var n,a,h,l,c,d,u,p,f,_=r[0],m=null,g=null;if(n=s.Z.copyAttributes(o,e.options,"line3d"),r[1].type===i.Z.OBJECT_TYPE_LINE3D&&s.Z.isTransformationOrArray(r[2])&&(m=r[1],g=r[2],a=s.Z.providePoints3D(_,[[0,0,0,0],[0,0,0,0]],o,"line3d",["point1","point2"])),null===m&&(s.Z.isPoint3D(r[2])||3===r.length&&(s.Z.isArray(r[2])||s.Z.isFunction(r[2]))))d=s.Z.providePoints3D(_,[r[1]],o,"line3d",["point1"])[0],u=s.Z.providePoints3D(_,[r[2]],o,"line3d",["point2"])[0],l=function(){return[0,u.X()-d.X(),u.Y()-d.Y(),u.Z()-d.Z()]},c=[0,1],(f=new t.Z.Line3D(_,d,l,c,n)).prepareUpdate().update(),(p=s.Z.providePoints3D(_,[[1,0,0,0],[1,0,0,0]],{visible:!0},"line3d",["point1","point2"]))[0].F=function(){var t=0;return f.evalVisProp("straightfirst")&&(t=-1/0),f.getPointCoords(t)},p[1].F=function(){var t=1;return f.evalVisProp("straightlast")&&(t=1/0),f.getPointCoords(t)},p[0].prepareUpdate().update(),p[1].prepareUpdate().update(),(n=f.setAttr2D(n)).straightfirst=!1,n.straightlast=!1,f.element2D=_.create("segment",[p[0].element2D,p[1].element2D],n),f.element2D.view=_,f.endpoints=p,f.addChild(p[0]),f.addChild(p[1]),f.addParents([d,u]);else{if(null!==m)h=s.Z.providePoints3D(_,[[0,0,0]],o,"line3d",["point"])[0],l=[0,0,0,1e-4],c=r[3]||[-1/0,1/0];else{if(!(s.Z.exists(r[2].view)&&r[2].type===i.Z.OBJECT_TYPE_LINE3D||s.Z.isFunction(r[2])||3===r[2].length||4===r[2].length))throw new Error("JSXGraph: Can't create line3d with parents of type '"+typeof r[1]+", "+typeof r[2]+", "+typeof r[3]+"'.");h=s.Z.providePoints3D(_,[r[1]],o,"line3d",["point"])[0],l=r[2],c=r[3]}a=s.Z.providePoints3D(_,[[1,0,0,0],[1,0,0,0]],o,"line3d",["point1","point2"]),(f=new t.Z.Line3D(_,h,l,c,n)).prepareUpdate().update(),a[0].F=function(){return f.getPointCoords(s.Z.evaluate(f.range[0]))},a[0].prepareUpdate().update(),d=a[0],a[1].F=function(){return f.getPointCoords(s.Z.evaluate(f.range[1]))},a[1].prepareUpdate().update(),u=a[1],(n=f.setAttr2D(n)).straightfirst=!1,n.straightlast=!1,f.element2D=_.create("segment",[d.element2D,u.element2D],n),f.element2D.view=_,f.endpoints=a,f.addParents(h),null!==m&&null!==g&&(f.addTransform(m,g),f.addParents(m))}return f.addChild(f.element2D),f.inherits.push(f.element2D),f.element2D.addParents(f),f.point1=d,f.point2=u,f.point1._is_new?(f.addChild(f.point1),delete f.point1._is_new):f.point1.addChild(f),f.point2._is_new?(f.addChild(f.point2),delete f.point2._is_new):f.point2.addChild(f),s.Z.exists(h)&&(h._is_new?(f.addChild(h),delete h._is_new):h.addChild(f)),f.update(),f.element2D.prepareUpdate().update().updateRenderer(),f},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.range_u=o||[-1/0,1/0],this.range_v=a||[-1/0,1/0],this.vec1=[0,0,0,0],this.vec2=[0,0,0,0],this.mesh3d=null,this.normal=[0,0,0,0],this.d=0,this.updateCoords(),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,{F:function(t,e){var i,s,r,n,a;for(s=this.vec1.slice(),r=this.vec2.slice(),n=o.Z.norm(s,3),a=o.Z.norm(r,3),i=0;i<3;i++)s[i]/=n,r[i]/=a;return[this.point.X()+t*s[0]+e*r[0],this.point.Y()+t*s[1]+e*r[1],this.point.Z()+t*s[2]+e*r[2]]},X:function(t,e){return this.F(t,e)[0]},Y:function(t,e){return this.F(t,e)[1]},Z:function(t,e){return this.F(t,e)[2]},updateCoords:function(){var t,e;if(s.Z.exists(this.direction1.view)&&this.direction1.type===i.Z.OBJECT_TYPE_LINE3D)this.vec1=this.direction1.vec.slice();else if(s.Z.isFunction(this.direction1))this.vec1=s.Z.evaluate(this.direction1),3===this.vec1.length&&this.vec1.unshift(0);else for(e=0,3===this.direction1.length&&(this.vec1[0]=0,e=1),t=0;t<this.direction1.length;t++)this.vec1[e+t]=s.Z.evaluate(this.direction1[t]);if(s.Z.exists(this.direction2.view)&&this.direction2.type===i.Z.OBJECT_TYPE_LINE3D)this.vec2=this.direction2.vec.slice();else if(s.Z.isFunction(this.direction2))this.vec2=s.Z.evaluate(this.direction2),3===this.vec2.length&&this.vec2.unshift(0);else for(e=0,3===this.direction2.length&&(this.vec2[0]=0,e=1),t=0;t<this.direction2.length;t++)this.vec2[e+t]=s.Z.evaluate(this.direction2[t]);return this},updateNormal:function(){var t,e;if(this.needsUpdate,this.normal=o.Z.crossProduct(this.vec1.slice(1),this.vec2.slice(1)),e=o.Z.norm(this.normal),Math.abs(e)>o.Z.eps*o.Z.eps)for(t=0;t<3;t++)this.normal[t]/=e;return this.normal.unshift(0),this.d=o.Z.innerProduct(this.point.coords,this.normal,4),this},updateDataArray:function(){var t,e,i,r,n,a,l,c,d,u,p,f,_,m,g=["xPlaneRear","yPlaneRear","zPlaneRear"],b=[],v=[0,0,0],Z=[0,0,0],C=[0,0,0],y=[0,0,0],P=1e-12,E=this.view;if(this.dataX=[],this.dataY=[],this.updateNormal(),"axisplane3d"!==this.elType&&E.defaultAxes&&s.Z.evaluate(this.range_u[0])===-1/0&&s.Z.evaluate(this.range_u[1])===1/0&&s.Z.evaluate(this.range_v[0])===-1/0&&s.Z.evaluate(this.range_v[1])===1/0){for(u=0;u<g.length;u++){if(!1!==(y=E.intersectionPlanePlane(this,E.defaultAxes[g[u]]))[0]&&!1!==y[1]){for(d=0;d<b.length&&!(h.Z.distance(y[0],b[d][0],4)<P&&h.Z.distance(y[1],b[d][1],4)<P||h.Z.distance(y[0],b[d][1],4)<P&&h.Z.distance(y[1],b[d][0],4)<P);d++);d===b.length&&b.push(y.slice())}if((y=[1,0,0,0])[u+1]=E.bbox3D[u][1],c=o.Z.innerProduct(y,E.defaultAxes[g[u]].normal,4),!1!==(y=E.intersectionPlanePlane(this,E.defaultAxes[g[u]],c))[0]&&!1!==y[1]){for(d=0;d<b.length&&!(h.Z.distance(y[0],b[d][0],4)<P&&h.Z.distance(y[1],b[d][1],4)<P||h.Z.distance(y[0],b[d][1],4)<P&&h.Z.distance(y[1],b[d][0],4)<P);d++);d===b.length&&b.push(y.slice())}}if(0===b.length)return{X:this.dataX,Y:this.dataY};0,_=0,d=0;do{for(4===(y=b[_][d]).length&&(n=E.project3DTo2D(y),this.dataX.push(n[1]),this.dataY.push(n[2])),d=(d+1)%2,y=b[_][d],m=_,u=0;u<b.length;u++){if(u!==_&&h.Z.distance(y,b[u][0])<P){_=u,d=0;break}if(u!==_&&h.Z.distance(y,b[u][1])<P){_=u,d=1;break}}if(_===m){console.log("Error plane3d update: did not find next",_);break}}while(0!==_);n=E.project3DTo2D(b[0][0]),this.dataX.push(n[1]),this.dataY.push(n[2])}else{for(t=s.Z.evaluate(this.range_u[0]),e=s.Z.evaluate(this.range_u[1]),i=s.Z.evaluate(this.range_v[0]),r=s.Z.evaluate(this.range_v[1]),C=this.point.coords,v=this.vec1.slice(),Z=this.vec2.slice(),a=o.Z.norm(v,4),l=o.Z.norm(Z,4),d=1;d<4;d++)v[d]/=a,Z[d]/=l;for(u=0;u<4;u++){switch(u){case 0:p=t,f=i;break;case 1:p=e,f=i;break;case 2:p=e,f=r;break;case 3:p=t,f=r}for(d=0;d<4;d++)y[d]=C[d]+p*v[d]+f*Z[d];n=E.project3DTo2D(y),this.dataX.push(n[1]),this.dataY.push(n[2])}this.dataX.push(this.dataX[0]),this.dataY.push(this.dataY[0])}return{X:this.dataX,Y:this.dataY}},addTransform:function(t,e){return this.addTransformGeneric(t,e),this.point.addTransform(t.point,e),this},updateTransform:function(){var t,e,i;if(0===this.transformations.length||null===this.baseElement)return this;for(this===this.baseElement?(t=this.vec1,e=this.vec2):(t=this.baseElement.vec1,e=this.baseElement.vec2),i=0;i<this.transformations.length;i++)this.transformations[i].update(),t=o.Z.matVecMult(this.transformations[i].matrix,t),e=o.Z.matVecMult(this.transformations[i].matrix,e);return this.vec1=t,this.vec2=e,this},update:function(){return this.needsUpdate&&this.updateCoords().updateTransform(),this},updateRenderer:function(){return this.needsUpdate=!1,this},projectCoords:function(t,e){return h.Z.projectCoordsToParametric(t,this,2,e)}}),t.Z.createPlane3D=function(e,r,o){var n,a,h,l,c,d,u,p,f,_,m=r[0],g=null,b=null;if((n=s.Z.copyAttributes(o,e.options,"plane3d")).threepoints||s.Z.isPoint3D(r[2])||s.Z.isPoint3D(r[3]))a=s.Z.providePoints3D(m,[r[1]],o,"plane3d",["point1"])[0],h=s.Z.providePoints3D(m,[r[2]],o,"plane3d",["point2"])[0],l=s.Z.providePoints3D(m,[r[3]],o,"plane3d",["point3"])[0],c=function(){return[h.X()-a.X(),h.Y()-a.Y(),h.Z()-a.Z()]},d=function(){return[l.X()-a.X(),l.Y()-a.Y(),l.Z()-a.Z()]},u=r[4]||[-1/0,1/0],p=r[5]||[-1/0,1/0];else{if(r[1].type===i.Z.OBJECT_TYPE_PLANE3D&&s.Z.isTransformationOrArray(r[2])?(g=r[1],b=r[2],a=s.Z.providePoints3D(m,[[0,0,0,0]],o,"plane3d",["point"])[0],c=[0,1e-4,0,0],d=[0,0,1e-4,0],u=r[3]||[-1/0,1/0],p=r[4]||[-1/0,1/0]):(a=s.Z.providePoints3D(m,[r[1]],o,"plane3d",["point"])[0],c=r[2],d=r[3],u=r[4]||[-1/0,1/0],p=r[5]||[-1/0,1/0]),!1===a)throw new Error("JSXGraph: Can't create plane3d with first parent of type '"+typeof r[1]+"'.\nPossible first parent types are: point3d, array of length 3, function returning an array of length 3.");if(null!==g&&r<3||null===g&&r.length<4)throw new Error("JSXGraph: Can't create plane3d with parents of type '"+typeof r[1]+", "+typeof r[2]+", "+typeof r[3]+", "+typeof r[4]+", "+typeof r[5]+"'.")}return f=new t.Z.Plane3D(m,a,c,u,d,p,n),a.addChild(f),n=f.setAttr2D(n),f.element2D=m.create("curve",[[],[]],n),f.element2D.view=m,null!==g&&null!==b&&(f.addTransform(g,b),f.addParents(g)),f.element2D.updateDataArray=function(){var t=f.updateDataArray();this.dataX=t.X,this.dataY=t.Y},f.addChild(f.element2D),f.inherits.push(f.element2D),f.element2D.setParents(f),Math.abs(f.range_u[0])!==1/0&&Math.abs(f.range_u[1])!==1/0&&Math.abs(f.range_v[0])!==1/0&&Math.abs(f.range_v[1])!==1/0&&(n=s.Z.copyAttributes(n.mesh3d,e.options,"mesh3d"),_=m.create("mesh3d",[function(){return a.coords},function(){return f.vec1},function(){return f.vec2},f.range_u,f.range_v],n),f.mesh3d=_,f.addChild(_),f.inherits.push(_),f.element2D.inherits.push(_),_.setParents(f),f.mesh3d.view=m),f.element2D.prepareUpdate().update(),e.isSuspendedUpdate||f.element2D.updateVisibility().updateRenderer(),f},t.Z.registerElement("plane3d",t.Z.createPlane3D),t.Z.createIntersectionLine3D=function(t,e,r){var o,n,a,l=e[0],c=e[1],d=e[2],u=s.Z.copyAttributes(r,t.options,"intersectionline3d"),p=[];for(a=h.Z.intersectionFunction3D(l,c,d),n=0;n<2;n++)p[n]=l.create("point3d",a[n],u["point"+(n+1)]);o=l.create("line3d",p,u);try{c.addChild(o),d.addChild(o)}catch(t){throw new Error("JSXGraph: Can't create 'intersection' with parent types '"+typeof e[1]+"' and '"+typeof e[2]+"'.")}return o.type=i.Z.OBJECT_TYPE_INTERSECTION_LINE3D,o.elType="intersectionline3d",o.setParents([c.id,d.id]),o},t.Z.registerElement("intersectionline3d",t.Z.createIntersectionLine3D),t.Z.Text3D=function(t,e,r,o,n){this.constructor(t.board,n,i.Z.OBJECT_TYPE_TEXT3D,i.Z.OBJECT_CLASS_3D),this.constructor3D(t,"text3d"),this.board.finalizeAdding(this),this.coords=[0,0,0,0],this.F=e,this.slide=o,this.X=function(){return this.coords[1]},this.Y=function(){return this.coords[2]},this.Z=function(){return this.coords[3]},this.position=[],this._c2d=null,this.methodMap=s.Z.deepCopy(this.methodMap,{})},t.Z.Text3D.prototype=new t.Z.GeometryElement,s.Z.copyPrototypeMethods(t.Z.Text3D,t.Z.GeometryElement3D,"constructor3D"),t.Z.extend(t.Z.Text3D.prototype,{updateCoords:function(){var t;if(s.Z.isFunction(this.F))this.coords=s.Z.evaluate(this.F),this.coords.unshift(1);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=s.Z.evaluate(this.F),this.coords.unshift(1);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;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,r;return this.element2D.draggable()&&0!==h.Z.distance(this._c2d,this.element2D.coords.usrCoords)?(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]&&(r=this.view.project3DToCube(e),this.coords=r[0],r[1]&&this.element2D.coords.setCoordinates(i.Z.COORDS_BY_USER,this.view.project3DTo2D(this.coords)),this.slide&&(this.coords=this.slide.projectCoords([this.X(),this.Y(),this.Z()],this.position),this.element2D.coords.setCoordinates(i.Z.COORDS_BY_USER,this.view.project3DTo2D(this.coords))))):(this.updateCoords(),this.slide&&(this.coords=this.slide.projectCoords([this.X(),this.Y(),this.Z()],this.position)),e=this.coords,this.element2D.coords.setCoordinates(i.Z.COORDS_BY_USER,this.view.project3DTo2D(e)),this.zIndex=o.Z.innerProduct(this.view.matrix3DRotShift[3],e),this.element2D.prepareUpdate().update()),this._c2d=this.element2D.coords.usrCoords.slice(),this},updateRenderer:function(){return this.needsUpdate=!1,this},testIfFinite:function(){return Math.abs(this.coords[0])>o.Z.eps},__evt__update3D:function(t){}}),t.Z.createText3D=function(e,i,r){var o,n,a,h,l,c,d=i[0];if(a=i.length>2&&s.Z.exists(i[i.length-1].is3D)?i.pop():null,3===i.length)n=i[1],h=i[2];else{if(5!==i.length)throw new Error("JSXGraph: Can't create text3d with parent types '"+typeof i[1]+"' and '"+typeof i[2]+"'.\nPossible parent types: [[x,y,z], text], [x,y,z, text]");n=i.slice(1,4),h=i[4]}return o=s.Z.copyAttributes(r,e.options,"text3d"),(c=new t.Z.Text3D(d,n,h,a,o)).initCoords(),l=d.project3DTo2D(c.coords),o=c.setAttr2D(o),c.element2D=d.create("text",[l[1],l[2],h],o),c.element2D.view=d,c.addChild(c.element2D),c.inherits.push(c.element2D),c.element2D.setParents(c),c.slide&&(c.slide.addChild(c),c.setParents(c.slide)),c._c2d=c.element2D.coords.usrCoords.slice(),c},t.Z.registerElement("text3d",t.Z.createText3D),t.Z.createTicks3D=function(e,i,r){var n,a,h=i[0],l=i[1],c=i[2],d=i[3],u=i[4];return a=s.Z.copyAttributes(r,e.options,"ticks3d"),(n=h.create("curve",[[],[]],a)).point=l,n.direction1=c,n.len=d,n.direction2=u,n.drawLabels=function(i){var r,n,a,l,c,d,u,p=this.len,f=this.evalVisProp("ticksdistance"),_=this.evalVisProp("tickendings"),m=this.evalVisProp("majorheight"),g=[0,0,0],b=[0,0,0],v=[0,0,0],Z=[];if(r=(m/=Math.sqrt(e.unitX*e.unitY))*_[1]*2,this.dataX=[],this.dataY=[],s.Z.isFunction(this.point))v=this.point().slice(1);else for(l=0;l<3;l++)v[l]=s.Z.evaluate(this.point[l]);for(l=0;l<3;l++)g[l]=s.Z.evaluate(this.direction1[l]),b[l]=s.Z.evaluate(this.direction2[l]);for(n=t.Z.Math.norm(g,3),a=t.Z.Math.norm(b,3),l=0;l<3;l++)g[l]/=n,b[l]/=a;if(!(Math.abs(f)<o.Z.eps)){for(c=0;c<=p;c+=f){for(u=[v[0]+c*g[0]+r*b[0],v[1]+c*g[1]+r*b[1],v[2]+c*g[2]+r*b[2]],l=0;l<3;l++)0!==g[l]&&(d=v[l]+c*g[l]);Z.push(h.create("text3d",[u,d],i))}return Z}},n.evalVisProp("drawlabels")&&(n.labels=n.drawLabels(a.label)),n.updateDataArray=function(){var i,r,n,a,l,c,d,u,p=this.len,f=this.evalVisProp("ticksdistance"),_=this.evalVisProp("tickendings"),m=this.evalVisProp("majorheight"),g=[0,0,0],b=[0,0,0],v=[0,0,0];if(i=(m/=Math.sqrt(e.unitX*e.unitY))*-_[0],r=m*_[1],this.dataX=[],this.dataY=[],s.Z.isFunction(this.point))v=this.point().slice(1);else for(l=0;l<3;l++)v[l]=s.Z.evaluate(this.point[l]);for(l=0;l<3;l++)g[l]=s.Z.evaluate(this.direction1[l]),b[l]=s.Z.evaluate(this.direction2[l]);for(n=t.Z.Math.norm(g,3),a=t.Z.Math.norm(b,3),l=0;l<3;l++)g[l]/=n,b[l]/=a;if(!(Math.abs(f)<o.Z.eps))for(c=0;c<=p;c+=f)u=[v[0]+c*g[0]+i*b[0],v[1]+c*g[1]+i*b[1],v[2]+c*g[2]+i*b[2]],d=h.project3DTo2D(u),this.dataX.push(d[1]),this.dataY.push(d[2]),u=[v[0]+c*g[0]+r*b[0],v[1]+c*g[1]+r*b[1],v[2]+c*g[2]+r*b[2]],d=h.project3DTo2D(u),this.dataX.push(d[1]),this.dataY.push(d[2]),this.dataX.push(NaN),this.dataY.push(NaN)},n},t.Z.registerElement("ticks3d",t.Z.createTicks3D),t.Z.Polygon3D=function(t,e,s){var r;for(this.constructor(t.board,s,i.Z.OBJECT_TYPE_POLYGON3D,i.Z.OBJECT_CLASS_3D),this.constructor3D(t,"polygon3d"),this.board.finalizeAdding(this),this.vertices=[],r=0;r<e.length;r++)this.vertices[r]=this.board.select(e[r]),this.vertices[r]._is_new&&(delete this.vertices[r]._is_new,this.vertices[r]._is_new_pol=!0)},t.Z.Polygon3D.prototype=new t.Z.GeometryElement,s.Z.copyPrototypeMethods(t.Z.Polygon3D,t.Z.GeometryElement3D,"constructor3D"),t.Z.extend(t.Z.Polygon3D.prototype,{update:function(){return this},updateRenderer:function(){return this.needsUpdate=!1,this},updateZIndex:function(){var t,e=this.vertices.length,i=[1,0,0,0];if(e<=0)return[NaN,NaN,NaN,NaN];for(t=0;t<e;t++)i[1]+=this.vertices[t].coords[1],i[2]+=this.vertices[t].coords[2],i[3]+=this.vertices[t].coords[3];return i[1]/=e,i[2]/=e,i[3]/=e,this.zIndex=o.Z.innerProduct(this.view.matrix3DRotShift[3],i),this}}),t.Z.createPolygon3D=function(e,r,o){var n,a,h,l,c,d,u=r[0],p=[],f=[],_=!1;if(c=s.Z.copyAttributes(o,e.options,"polygon3d"),null===(l=e.select(r[1]))&&(l=r[1]),s.Z.isObject(l)&&l.type===i.Z.OBJECT_TYPE_POLYGON3D&&s.Z.isTransformationOrArray(r[2]))for(_=!0,h=l.vertices.length-1,d=s.Z.copyAttributes(o,e.options,"polygon3d","vertices"),a=0;a<h;a++)d.withlabel&&(d.name=""===l.vertices[a].name?"":l.vertices[a].name+"'"),p.push(e.create("point3d",[l.vertices[a],r[2]],d));else if(s.Z.isArray(r[1])&&r[1].every((t=>s.Z.isPoint3D(t))))p=r[1];else if(!1===(p=s.Z.providePoints3D(u,r.slice(1),o,"polygon3d",["vertices"])))throw new Error("JSXGraph: Can't create polygon3d with parent types other than 'point' and 'coordinate arrays' or a function returning an array of coordinates. Alternatively, a polygon3d and a transformation can be supplied");for((n=new t.Z.Polygon3D(u,p,c)).isDraggable=!0,c=n.setAttr2D(c),a=0;a<p.length;a++)f.push(p[a].element2D);if(n.element2D=e.create("polygon",f,c),n.element2D.view=u,n.addChild(n.element2D),n.inherits.push(n.element2D),n.element2D.setParents(n),_)for(n.prepareUpdate().update().updateVisibility().updateRenderer(),h=l.vertices.length-1,a=0;a<h;a++)p[a].prepareUpdate().update().updateVisibility().updateRenderer();return n},t.Z.registerElement("polygon3d",t.Z.createPolygon3D),t.Z.Face3D=function(t,e,r,o){this.constructor(t.board,o,i.Z.OBJECT_TYPE_FACE3D,i.Z.OBJECT_CLASS_3D),this.constructor3D(t,"face3d"),this.board.finalizeAdding(this),this.polyhedron=e,this.faceNumber=r,this.normal=[0,0,0,0],this.d=0,this.vec1=[0,0,0,0],this.vec2=[0,0,0,0],0===this.faceNumber&&this.updateCoords(),this.methodMap=s.Z.deepCopy(this.methodMap,{})},t.Z.Face3D.prototype=new t.Z.GeometryElement,s.Z.copyPrototypeMethods(t.Z.Face3D,t.Z.GeometryElement3D,"constructor3D"),t.Z.extend(t.Z.Face3D.prototype,{updateCoords:function(){var t,e,i,r,o=this.polyhedron;for(t in o.vertices){if(r=o.vertices[t],s.Z.isFunction(r))o.coords[t]=s.Z.evaluate(r);else if(s.Z.isArray(r))for(o.coords[t]=[],i=r.length,e=0;e<i;e++)o.coords[t][e]=s.Z.evaluate(r[e]);else{if(r=o.view.select(r),!s.Z.isPoint3D(r))throw new Error("Polyhedron3D.updateCoords: unknown vertices type!");o.coords[t]=r.coords}3===o.coords[t].length&&o.coords[t].unshift(1)}return this},updateDataArray2D:function(){var t,e,i,s,r=[],n=[],a=this.polyhedron,h=a.faces[this.faceNumber];if(0===this.faceNumber)for(t in a.vertices)a.coords2D[t]=[];for(e=h.length,this.zIndex=0,t=0;t<e;t++)0===(s=a.coords2D[h[t]]).length&&(i=a.coords[h[t]],s=this.view.project3DTo2D(i),a.coords2D[h[t]]=s,a.zIndex[h[t]]=o.Z.innerProduct(this.view.matrix3DRotShift[3],i)),r.push(s[1]),n.push(s[2]),this.zIndex+=a.zIndex[h[t]];return e>0&&(this.zIndex/=e),2!==e&&(r.push(r[0]),n.push(n[0])),{X:r,Y:n}},addTransform:function(t,e){return 0===this.faceNumber&&this.addTransformGeneric(t,e),this},updateTransform:function(){var t,e,i,s,r;if(0!==this.faceNumber)return this;if(0===this.transformations.length||null===this.baseElement)return this;for(t=this.transformations,i=0;i<t.length;i++)t[i].update();for(i in(r=this===this.baseElement?this.polyhedron:this.baseElement.polyhedron).coords)if(r.coords.hasOwnProperty(i)){for(e=r.coords[i],s=0;s<t.length;s++)e=o.Z.matVecMult(t[s].matrix,e);this.polyhedron.coords[i]=e}return this},update:function(){var t,e,i,s,r,n;if(this.needsUpdate&&!this.view.board._change3DView){if(e=this.polyhedron,0===this.faceNumber&&this.updateCoords().updateTransform(),(n=e.faces[this.faceNumber]).length<3)return this;if(s=e.coords[n[0]],r=e.coords[n[1]],this.vec1=[r[0]-s[0],r[1]-s[1],r[2]-s[2],r[3]-s[3]],r=e.coords[n[2]],this.vec2=[r[0]-s[0],r[1]-s[1],r[2]-s[2],r[3]-s[3]],this.normal=o.Z.crossProduct(this.vec1.slice(1),this.vec2.slice(1)),i=o.Z.norm(this.normal),this.normal.unshift(0),Math.abs(i)>1e-12)for(t=1;t<4;t++)this.normal[t]/=i;this.d=o.Z.innerProduct(s,this.normal,4)}return this},updateRenderer:function(){return this.needsUpdate&&(this.needsUpdate=!1,this.shader()),this},shader:function(){var t,e,i,s,r,n,a,h,l;if(this.evalVisProp("shader.enabled"))return t=this.evalVisProp("shader.hue"),e=this.evalVisProp("shader.saturation"),h=this.evalVisProp("shader.minlightness"),l=this.evalVisProp("shader.maxlightness"),"angle"===this.evalVisProp("shader.type").toLowerCase()?(s=o.Z.innerProduct(this.view.matrix3DRotShift[3],this.normal),i=h+(l-h)*(s=Math.abs(s))):(a=this.view.zIndexMax,n=this.view.zIndexMin,i=h+(l-h)*((this.zIndex-n)/(a-n))),r="hsl("+t+","+e+"%,"+i+"%)",this.element2D.visProp.fillcolor=r,this.zIndex}}),t.Z.createFace3D=function(e,i,r){var o,n,a=i[0],h=i[1],l=i[2];return o=s.Z.copyAttributes(r,e.options,"face3d"),o=(n=new t.Z.Face3D(a,h,l,o)).setAttr2D(o),n.element2D=a.create("curve",[[],[]],o),n.element2D.view=a,n.element2D.updateDataArray=function(){var t=n.updateDataArray2D();this.dataX=t.X,this.dataY=t.Y},n.addChild(n.element2D),n.inherits.push(n.element2D),n.element2D.setParents(n),n.element2D.prepareUpdate().update(),e.isSuspendedUpdate||n.element2D.updateVisibility().updateRenderer(),n},t.Z.registerElement("face3d",t.Z.createFace3D),t.Z.Polyhedron3D=function(t,e,r,o){var n,a,h,l=this;for(this.constructor(t.board,o,i.Z.OBJECT_TYPE_POLYHEDRON3D,i.Z.OBJECT_CLASS_3D),this.constructor3D(t,"polyhedron3d"),this.board.finalizeAdding(this),this.elType="polyhedron3d",this.faces=r,this.numberFaces=r.length,this.def=e,a=["setAttribute","setParents","prepareUpdate","updateRenderer","update","fullUpdate","highlight","noHighlight"],h=function(t){return function(){var e;for(e in l.faces)l.faces.hasOwnProperty(e)&&s.Z.exists(l.faces[e][t])&&l.faces[e][t].apply(l.faces[e],arguments);return l}},n=0;n<a.length;n++)this[a[n]]=h(a[n]);this.methodMap=s.Z.deepCopy(this.methodMap,{setAttribute:"setAttribute",setParents:"setParents",addTransform:"addTransform"})},t.Z.Polyhedron3D.prototype=new t.Z.GeometryElement,s.Z.copyPrototypeMethods(t.Z.Polyhedron3D,t.Z.GeometryElement3D,"constructor3D"),t.Z.extend(t.Z.Polyhedron3D.prototype,{addTransform:function(t,e){if(!(this.faces.length>0&&t.faces.length>0))throw new Error("Adding transformation failed. At least one of the two polyhedra has no faces.");return this.faces[0].addTransform(t.faces[0],e),this},toSTL:function(t){var e,i,s,r,o,n,a="solid ";for(void 0===t&&(t=this.name),a+=t+"\n",e=0;e<this.def.faces.length;e++){for(a+=" facet normal 0 0 0\n  outer loop\n",n=(r=this.def.faces[e]).length,s=this.def.coords,i=0;i<n;i++)a+="   vertex "+(o=s[r[i]])[1]+" "+o[2]+" "+o[3]+"\n";a+="  endloop\n endfacet\n"}return a+="endsolid "+t+"\n"}}),t.Z.createPolyhedron3D=function(e,r,o){var n,a,h,l,c,d,u,p=r[0],f=[],_=null,m=null,g={view:p,vertices:{},coords:{},coords2D:{},zIndex:{},faces:[]};if(s.Z.exists(r[1].type)&&r[1].type===i.Z.OBJECT_TYPE_POLYHEDRON3D)_=r[1],m=r[2],g.vertices=_.def.vertices,g.faces=_.def.faces;else{if(s.Z.isArray(r[1]))for(a=r[1].length,n=0;n<a;n++)g.vertices[n]=r[1][n];else if(s.Z.isObject(r[1]))for(n in r[1])r[1].hasOwnProperty(n)&&(g.vertices[n]=r[1][n]);g.faces=r[2]}for(u=s.Z.copyAttributes(o,e.options,"polyhedron3d"),console.time("polyhedron"),p.board.suspendUpdate(),a=g.faces.length,n=0;n<a;n++)d=s.Z.copyAttributes(o,e.options,"face3d"),u.fillcolorarray.length>0&&(d.fillcolor=u.fillcolorarray[n%u.fillcolorarray.length]),l=g.faces[n],s.Z.isArray(l)&&2===l.length&&s.Z.isObject(l[1])&&s.Z.isArray(l[0])&&(s.Z.mergeAttr(d,l[1]),g.faces[n]=l[0]),h=p.create("face3d",[g,n],d),f.push(h);for((c=new t.Z.Polyhedron3D(p,g,f,u)).setParents(c),n=0;n<a;n++)c.inherits.push(c.faces[n]),c.addChild(c.faces[n]);return null!==_&&(c.addTransform(_,m),c.addParents(_)),p.board.unsuspendUpdate(),console.timeEnd("polyhedron"),c},t.Z.registerElement("polyhedron3d",t.Z.createPolyhedron3D),t.Z.Sphere3D=function(t,e,r,o,n){this.constructor(t.board,n,i.Z.OBJECT_TYPE_SPHERE3D,i.Z.OBJECT_CLASS_3D),this.constructor3D(t,"sphere3d"),this.board.finalizeAdding(this),this.method=e,this.center=this.board.select(r),this.point2=null,this.points=[],this.element2D=null,this.aux2D=[],this.projectionType=t.projectionType,"twoPoints"===e?(this.point2=this.board.select(o),this.radius=this.Radius()):"pointRadius"===e&&(this.updateRadius=s.Z.createFunction(o,this.board),this.updateRadius(),this.addParentsFromJCFunctions([this.updateRadius])),s.Z.exists(this.center._is_new)?(this.addChild(this.center),delete this.center._is_new):this.center.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,{center:"center",point2:"point2",Radius:"Radius"})},t.Z.Sphere3D.prototype=new t.Z.GeometryElement,s.Z.copyPrototypeMethods(t.Z.Sphere3D,t.Z.GeometryElement3D,"constructor3D"),t.Z.extend(t.Z.Sphere3D.prototype,{X:function(t,e){return this.Radius()*Math.sin(t)*Math.cos(e)},Y:function(t,e){return this.Radius()*Math.sin(t)*Math.sin(e)},Z:function(t,e){return this.Radius()*Math.cos(t)},range_u:[0,2*Math.PI],range_v:[0,Math.PI],update:function(){return this.projectionType!==this.view.projectionType&&this.rebuildProjection(),this},updateRenderer:function(){return this.needsUpdate=!1,this},setRadius:function(t){return this.updateRadius=s.Z.createFunction(t,this.board),this.addParentsFromJCFunctions([this.updateRadius]),this.board.update(),this},Radius:function(t){return s.Z.exists(t)?(this.setRadius(t),this.Radius()):"twoPoints"===this.method?this.center.testIfFinite()&&this.point2.testIfFinite()?this.center.distance(this.point2):NaN:"pointRadius"===this.method?Math.abs(this.updateRadius()):NaN},focusFn:function(t){var e=this;return function(){var i=e.view.boxToCam[3],s=e.Radius();return e.view.project3DTo2D([e.center.X()+t*s*i[1],e.center.Y()+t*s*i[2],e.center.Z()+t*s*i[3]]).slice(1,3)}},innerVertexFn:function(){var t=this;return function(){var e,i=t.view,s=i.worldToFocal(t.center.coords,!1),r=o.Z.hypot(s[0],s[1]),n=i.boxToCam,a=t.Radius(),h=Math.atan(-r/s[2])+Math.acos(a/o.Z.norm(s)),l=Math.cos(h),c=Math.sin(h);return e=r>1e-8?[-(s[0]*n[1][1]+s[1]*n[2][1])/r,-(s[0]*n[1][2]+s[1]*n[2][2])/r,-(s[0]*n[1][3]+s[1]*n[2][3])/r]:[n[1][1],n[1][2],n[1][3]],i.project3DTo2D([t.center.X()+a*(c*e[0]+l*n[3][1]),t.center.Y()+a*(c*e[1]+l*n[3][2]),t.center.Z()+a*(c*e[2]+l*n[3][3])])}},buildCentralProjection:function(t){var e=this.view,i={visible:!1,withLabel:!1},s=e.create("point",this.focusFn(-1),i),r=e.create("point",this.focusFn(1),i),o=e.create("point",this.innerVertexFn(e),i);this.aux2D=[s,r,o],this.element2D=e.create("ellipse",this.aux2D,void 0===t?this.visProp:t)},buildParallelProjection:function(t){var e=this;this.aux2D=[],this.element2D=this.view.create("circle",[e.center.element2D,function(){var t=e.view.bbox3D[0][1]-e.view.bbox3D[0][0];return e.Radius()*e.view.size[0]/t}],void 0===t?this.visProp:t)},rebuildProjection:function(t){var e;if(this.element2D)for(e in this.view.board.removeObject(this.element2D),this.aux2D)this.aux2D.hasOwnProperty(e)&&this.view.board.removeObject(this.aux2D[e]);this.projectionType=this.view.projectionType,"central"===this.projectionType?this.buildCentralProjection(t):this.buildParallelProjection(t),this.addChild(this.element2D),this.inherits.push(this.element2D),this.element2D.view=this.view},projectCoords:function(t,e){var i=this.Radius(),s=[1].concat(t),r=this.center.coords,o=h.Z.distance(r,s,4),n=p.Z.subtract(s,r);return 0===o?(e[0]=0,e[1]=0,[1,i,0,0]):0===i?(e[0]=0,e[1]=0,this.center.coords):(o=i/o,n[0]=1,n[1]*=o,n[2]*=o,n[3]*=o,e[1]=Math.atan2(n[2],n[1]),e[1]+=e[1]<0?Math.PI:0,0!==e[1]?e[0]=Math.atan2(n[2],n[3]*Math.sin(e[1])):e[0]=Math.atan2(n[1],n[3]*Math.cos(e[1])),e[0]+=e[0]<0?2*Math.PI:0,n)}}),t.Z.createSphere3D=function(e,i,r){var o,n,a,h,l,c,d=i[0];for(o=s.Z.copyAttributes(r,e.options,"sphere3d"),n=[],c=1;c<i.length;c++)if(s.Z.isPointType3D(e,i[c])){if(a=0===n.length?"center":"point",!1===(h=s.Z.providePoints3D(d,[i[c]],r,"sphere3d",[a])[0]))throw new Error("JSXGraph: Can't create sphere3d from this type. Please provide a point type.");n.push(h)}else n.push(i[c]);if(s.Z.isPoint3D(n[0])&&s.Z.isPoint3D(n[1]))l=new t.Z.Sphere3D(d,"twoPoints",n[0],n[1],o);else{if(!s.Z.isPoint3D(n[0])||!(s.Z.isNumber(n[1])||s.Z.isFunction(n[1])||s.Z.isString(n[1])))throw new Error("JSXGraph: Can't create sphere3d with parent types '"+typeof i[1]+"' and '"+typeof i[2]+"'.\nPossible parent types: [point,point], [point,number], [point,function]");l=new t.Z.Sphere3D(d,"pointRadius",n[0],n[1],o)}return o=l.setAttr2D(o),l.rebuildProjection(o),l.element2D.prepareUpdate().update(),e.isSuspendedUpdate||l.element2D.updateVisibility().updateRenderer(),l},t.Z.registerElement("sphere3d",t.Z.createSphere3D),t.Z.Surface3D=function(t,e,r,o,n,a,h,l){this.constructor(t.board,l,i.Z.OBJECT_TYPE_SURFACE3D,i.Z.OBJECT_CLASS_3D),this.constructor3D(t,"surface3d"),this.board.finalizeAdding(this),this._F=e,this._X=r,this._Y=o,this._Z=n,null!==this._F?(this._X=function(t,e){return this._F(t,e)[0]},this._Y=function(t,e){return this._F(t,e)[1]},this._Z=function(t,e){return this._F(t,e)[2]}):null!==this._X&&(this._F=function(t,e){return[this._X(t,e),this._Y(t,e),this._Z(t,e)]}),this.range_u=a,this.range_v=h,this.dataX=null,this.dataY=null,this.dataZ=null,this.points=[],this.methodMap=s.Z.deepCopy(this.methodMap,{})},t.Z.Surface3D.prototype=new t.Z.GeometryElement,s.Z.copyPrototypeMethods(t.Z.Surface3D,t.Z.GeometryElement3D,"constructor3D"),t.Z.extend(t.Z.Surface3D.prototype,{updateWireframe:function(){var t,e,i,r,o,n,a,h,l,c,d,u,p=[1,0,0,0];for(this.points=[],t=this.evalVisProp("stepsu"),e=this.evalVisProp("stepsv"),o=s.Z.evaluate(this.range_u),n=s.Z.evaluate(this.range_v),a=s.Z.evaluate(o[0]),h=s.Z.evaluate(n[0]),l=(s.Z.evaluate(o[1])-a)/t,c=(s.Z.evaluate(n[1])-h)/e,i=0,d=a;i<=t;i++,d+=l)for(this.points.push([]),r=0,u=h;r<=e;r++,u+=c)(p=this.F(d,u)).unshift(1),this.points[i].push(p);return this},updateCoords:function(){return null!==this._F?this.updateWireframe():this.updateTransform(),this},evalF:function(t,e){var i,r,n=[0,0,0,0];if(0===this.transformations.length||!s.Z.exists(this.baseElement))return n=this._F(t,e);for(i=this.transformations,r=0;r<i.length;r++)i[r].update();for((n=this===this.baseElement?this._F(t,e):this.baseElement.evalF(t,e)).unshift(1),n=o.Z.matVecMult(i[0].matrix,n),r=1;r<i.length;r++)n=o.Z.matVecMult(i[r].matrix,n);return n.slice(1)},F:function(t,e){return this.evalF(t,e)},X:function(t,e){return this.evalF(t,e)[0]},Y:function(t,e){return this.evalF(t,e)[1]},Z:function(t,e){return this.evalF(t,e)[2]},updateDataArray2D:function(){var t,e,i,s,r,o=[],n=[];if(0!==(i=this.points.length)){for(s=this.points[0].length,t=0;t<i;t++){for(e=0;e<s;e++)r=this.view.project3DTo2D(this.points[t][e]),o.push(r[1]),n.push(r[2]);o.push(NaN),n.push(NaN)}for(e=0;e<s;e++){for(t=0;t<i;t++)r=this.view.project3DTo2D(this.points[t][e]),o.push(r[1]),n.push(r[2]);o.push(NaN),n.push(NaN)}}return{X:o,Y:n}},addTransform:function(t,e){return this.addTransformGeneric(t,e),this},updateTransform:function(){var t,e,i,r,n,a,h;if(0===this.transformations.length||null===this.baseElement||s.Z.exists(this._F))return this;for(t=this.transformations,i=0;i<t.length;i++)t[i].update();if(this!==this.baseElement&&(this.points=[]),(a=this.baseElement.points.length)>0)for(h=this.baseElement.points[0].length,i=0;i<a;i++)for(this!==this.baseElement&&this.points.push([]),r=0;r<h;r++){for(e=this===this.baseElement?this.points[i][r]:this.baseElement.points[i][r],n=0;n<t.length;n++)e=o.Z.matVecMult(t[n].matrix,e);this===this.baseElement?this.points[i][r]=e:this.points[i].push(e)}return this},updateDataArray:function(){},update:function(){return this.needsUpdate&&(this.updateDataArray(),this.updateCoords()),this},updateRenderer:function(){return this.needsUpdate=!1,this},projectCoords:function(t,e){return h.Z.projectCoordsToParametric(t,this,2,e)}}),t.Z.createParametricSurface3D=function(e,i,r){var o,n,a,h,l,c,d,u,p=i[0],f=null,_=null;return 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try {
    JXG = window.JXG = module.exports;
} catch(e) {
}

JXG.Options.text.useMathJax = true;
