YtIoT/WebRoot/res/highcharts/code/highcharts-3d.src.js

/**
 * @license Highcharts JS v7.0.2 (2019-01-17)
 *
 * 3D features for Highcharts JS
 *
 * @license: www.highcharts.com/license
 */
'use strict';
(function (factory) {
	if (typeof module === 'object' && module.exports) {
		factory['default'] = factory;
		module.exports = factory;
	} else if (typeof define === 'function' && define.amd) {
		define(function () {
			return factory;
		});
	} else {
		factory(typeof Highcharts !== 'undefined' ? Highcharts : undefined);
	}
}(function (Highcharts) {
	(function (H) {
		/* *
		 * (c) 2010-2019 Torstein Honsi
		 *
		 * License: www.highcharts.com/license
		 */



		// Mathematical Functionility
		var deg2rad = H.deg2rad,
		    pick = H.pick;

		/* eslint-disable max-len */
		/**
		 * Apply 3-D rotation
		 * Euler Angles (XYZ):
		 *     cosA = cos(Alfa|Roll)
		 *     cosB = cos(Beta|Pitch)
		 *     cosG = cos(Gamma|Yaw)
		 *
		 * Composite rotation:
		 * |          cosB * cosG             |           cosB * sinG            |    -sinB    |
		 * | sinA * sinB * cosG - cosA * sinG | sinA * sinB * sinG + cosA * cosG | sinA * cosB |
		 * | cosA * sinB * cosG + sinA * sinG | cosA * sinB * sinG - sinA * cosG | cosA * cosB |
		 *
		 * Now, Gamma/Yaw is not used (angle=0), so we assume cosG = 1 and sinG = 0, so
		 * we get:
		 * |     cosB    |   0    |   - sinB    |
		 * | sinA * sinB |  cosA  | sinA * cosB |
		 * | cosA * sinB | - sinA | cosA * cosB |
		 *
		 * But in browsers, y is reversed, so we get sinA => -sinA. The general result
		 * is:
		 * |      cosB     |   0    |    - sinB     |     | x |     | px |
		 * | - sinA * sinB |  cosA  | - sinA * cosB |  x  | y |  =  | py |
		 * |  cosA * sinB  |  sinA  |  cosA * cosB  |     | z |     | pz |
		 *
		 * @private
		 * @function rotate3D
		 */
		/* eslint-enable max-len */
		function rotate3D(x, y, z, angles) {
		    return {
		        x: angles.cosB * x - angles.sinB * z,
		        y: -angles.sinA * angles.sinB * x + angles.cosA * y -
		            angles.cosB * angles.sinA * z,
		        z: angles.cosA * angles.sinB * x + angles.sinA * y +
		            angles.cosA * angles.cosB * z
		    };
		}

		// Perspective3D function is available in global Highcharts scope because is
		// needed also outside of perspective() function (#8042).
		H.perspective3D = function (coordinate, origin, distance) {
		    var projection = ((distance > 0) && (distance < Number.POSITIVE_INFINITY)) ?
		        distance / (coordinate.z + origin.z + distance) :
		        1;

		    return {
		        x: coordinate.x * projection,
		        y: coordinate.y * projection
		    };
		};

		/**
		 * Transforms a given array of points according to the angles in chart.options.
		 *
		 * @private
		 * @function Highcharts.perspective
		 *
		 * @param {Array<Highcharts.Point>} points
		 *        The array of points
		 *
		 * @param {Highcharts.Chart} chart
		 *        The chart
		 *
		 * @param {boolean} [insidePlotArea]
		 *        Wether to verifiy the points are inside the plotArea
		 *
		 * @return {Array<Highcharts.Point>}
		 *         An array of transformed points
		 */
		H.perspective = function (points, chart, insidePlotArea) {
		    var options3d = chart.options.chart.options3d,
		        inverted = insidePlotArea ? chart.inverted : false,
		        origin = {
		            x: chart.plotWidth / 2,
		            y: chart.plotHeight / 2,
		            z: options3d.depth / 2,
		            vd: pick(options3d.depth, 1) * pick(options3d.viewDistance, 0)
		        },
		        scale = chart.scale3d || 1,
		        beta = deg2rad * options3d.beta * (inverted ? -1 : 1),
		        alpha = deg2rad * options3d.alpha * (inverted ? -1 : 1),
		        angles = {
		            cosA: Math.cos(alpha),
		            cosB: Math.cos(-beta),
		            sinA: Math.sin(alpha),
		            sinB: Math.sin(-beta)
		        };

		    if (!insidePlotArea) {
		        origin.x += chart.plotLeft;
		        origin.y += chart.plotTop;
		    }

		    // Transform each point
		    return points.map(function (point) {
		        var rotated = rotate3D(
		                (inverted ? point.y : point.x) - origin.x,
		                (inverted ? point.x : point.y) - origin.y,
		                (point.z || 0) - origin.z,
		                angles
		            ),
		            // Apply perspective
		            coordinate = H.perspective3D(rotated, origin, origin.vd);

		        // Apply translation
		        coordinate.x = coordinate.x * scale + origin.x;
		        coordinate.y = coordinate.y * scale + origin.y;
		        coordinate.z = rotated.z * scale + origin.z;

		        return {
		            x: (inverted ? coordinate.y : coordinate.x),
		            y: (inverted ? coordinate.x : coordinate.y),
		            z: coordinate.z
		        };
		    });
		};

		/**
		 * Calculate a distance from camera to points - made for calculating zIndex of
		 * scatter points.
		 *
		 * @private
		 * @function Highcharts.pointCameraDistance
		 *
		 * @param {object} coordinates
		 *        The coordinates of the specific point
		 *
		 * @param {Highcharts.Chart} chart
		 *        The chart
		 *
		 * @return {number}
		 *         A distance from camera to point
		 */
		H.pointCameraDistance = function (coordinates, chart) {
		    var options3d = chart.options.chart.options3d,
		        cameraPosition = {
		            x: chart.plotWidth / 2,
		            y: chart.plotHeight / 2,
		            z: pick(options3d.depth, 1) * pick(options3d.viewDistance, 0) +
		                options3d.depth
		        },
		        distance = Math.sqrt(
		            Math.pow(cameraPosition.x - coordinates.plotX, 2) +
		            Math.pow(cameraPosition.y - coordinates.plotY, 2) +
		            Math.pow(cameraPosition.z - coordinates.plotZ, 2)
		        );

		    return distance;
		};

		/**
		 * Calculate area of a 2D polygon using Shoelace algorithm
		 * http://en.wikipedia.org/wiki/Shoelace_formula
		 *
		 * @private
		 * @function Highcharts.shapeArea
		 *
		 * @param {Array<object>} vertexes
		 *
		 * @return {number}
		 */
		H.shapeArea = function (vertexes) {
		    var area = 0,
		        i,
		        j;

		    for (i = 0; i < vertexes.length; i++) {
		        j = (i + 1) % vertexes.length;
		        area += vertexes[i].x * vertexes[j].y - vertexes[j].x * vertexes[i].y;
		    }
		    return area / 2;
		};

		/**
		 * Calculate area of a 3D polygon after perspective projection
		 *
		 * @private
		 * @function Highcharts.shapeArea3d
		 *
		 * @param {Array<object>} vertexes
		 *
		 * @param {Highcharts.Chart} chart
		 *
		 * @param {boolean} [insidePlotArea]
		 *
		 * @return {number}
		 */
		H.shapeArea3d = function (vertexes, chart, insidePlotArea) {
		    return H.shapeArea(H.perspective(vertexes, chart, insidePlotArea));
		};

	}(Highcharts));
	(function (H) {
		/* *
		 * (c) 2010-2019 Torstein Honsi
		 *
		 * Extensions to the SVGRenderer class to enable 3D shapes
		 *
		 * License: www.highcharts.com/license
		 */



		var cos = Math.cos,
		    PI = Math.PI,
		    sin = Math.sin;

		var animObject = H.animObject,
		    charts = H.charts,
		    color = H.color,
		    defined = H.defined,
		    deg2rad = H.deg2rad,
		    extend = H.extend,
		    merge = H.merge,
		    perspective = H.perspective,
		    pick = H.pick,
		    SVGElement = H.SVGElement,
		    SVGRenderer = H.SVGRenderer,

		    dFactor,
		    element3dMethods,
		    cuboidMethods;

		/*
		    EXTENSION TO THE SVG-RENDERER TO ENABLE 3D SHAPES
		*/
		// HELPER METHODS
		dFactor = (4 * (Math.sqrt(2) - 1) / 3) / (PI / 2);

		// Method to construct a curved path. Can 'wrap' around more then 180 degrees
		function curveTo(cx, cy, rx, ry, start, end, dx, dy) {
		    var result = [],
		        arcAngle = end - start;

		    if ((end > start) && (end - start > Math.PI / 2 + 0.0001)) {
		        result = result.concat(
		            curveTo(cx, cy, rx, ry, start, start + (Math.PI / 2), dx, dy)
		        );
		        result = result.concat(
		            curveTo(cx, cy, rx, ry, start + (Math.PI / 2), end, dx, dy)
		        );
		        return result;
		    }
		    if ((end < start) && (start - end > Math.PI / 2 + 0.0001)) {
		        result = result.concat(
		            curveTo(cx, cy, rx, ry, start, start - (Math.PI / 2), dx, dy)
		        );
		        result = result.concat(
		            curveTo(cx, cy, rx, ry, start - (Math.PI / 2), end, dx, dy)
		        );
		        return result;
		    }
		    return [
		        'C',
		        cx + (rx * Math.cos(start)) -
		            ((rx * dFactor * arcAngle) * Math.sin(start)) + dx,
		        cy + (ry * Math.sin(start)) +
		            ((ry * dFactor * arcAngle) * Math.cos(start)) + dy,
		        cx + (rx * Math.cos(end)) +
		            ((rx * dFactor * arcAngle) * Math.sin(end)) + dx,
		        cy + (ry * Math.sin(end)) -
		            ((ry * dFactor * arcAngle) * Math.cos(end)) + dy,

		        cx + (rx * Math.cos(end)) + dx,
		        cy + (ry * Math.sin(end)) + dy
		    ];
		}

		SVGRenderer.prototype.toLinePath = function (points, closed) {
		    var result = [];

		    // Put "L x y" for each point
		    points.forEach(function (point) {
		        result.push('L', point.x, point.y);
		    });

		    if (points.length) {
		        // Set the first element to M
		        result[0] = 'M';

		        // If it is a closed line, add Z
		        if (closed) {
		            result.push('Z');
		        }
		    }

		    return result;
		};

		SVGRenderer.prototype.toLineSegments = function (points) {
		    var result = [],
		        m = true;

		    points.forEach(function (point) {
		        result.push(m ? 'M' : 'L', point.x, point.y);
		        m = !m;
		    });

		    return result;
		};

		// A 3-D Face is defined by it's 3D vertexes, and is only visible if it's
		// vertexes are counter-clockwise (Back-face culling). It is used as a
		// polyhedron Element
		SVGRenderer.prototype.face3d = function (args) {
		    var renderer = this,
		        ret = this.createElement('path');

		    ret.vertexes = [];
		    ret.insidePlotArea = false;
		    ret.enabled = true;

		    ret.attr = function (hash) {
		        if (
		            typeof hash === 'object' &&
		            (
		                defined(hash.enabled) ||
		                defined(hash.vertexes) ||
		                defined(hash.insidePlotArea)
		            )
		        ) {
		            this.enabled = pick(hash.enabled, this.enabled);
		            this.vertexes = pick(hash.vertexes, this.vertexes);
		            this.insidePlotArea = pick(
		                hash.insidePlotArea,
		                this.insidePlotArea
		            );
		            delete hash.enabled;
		            delete hash.vertexes;
		            delete hash.insidePlotArea;

		            var chart = charts[renderer.chartIndex],
		                vertexes2d = perspective(
		                    this.vertexes,
		                    chart,
		                    this.insidePlotArea
		                ),
		                path = renderer.toLinePath(vertexes2d, true),
		                area = H.shapeArea(vertexes2d),
		                visibility = (this.enabled && area > 0) ? 'visible' : 'hidden';

		            hash.d = path;
		            hash.visibility = visibility;
		        }
		        return SVGElement.prototype.attr.apply(this, arguments);
		    };

		    ret.animate = function (params) {
		        if (
		            typeof params === 'object' &&
		            (
		                defined(params.enabled) ||
		                defined(params.vertexes) ||
		                defined(params.insidePlotArea)
		            )
		        ) {
		            this.enabled = pick(params.enabled, this.enabled);
		            this.vertexes = pick(params.vertexes, this.vertexes);
		            this.insidePlotArea = pick(
		                params.insidePlotArea,
		                this.insidePlotArea
		            );
		            delete params.enabled;
		            delete params.vertexes;
		            delete params.insidePlotArea;

		            var chart = charts[renderer.chartIndex],
		                vertexes2d = perspective(
		                    this.vertexes,
		                    chart,
		                    this.insidePlotArea
		                ),
		                path = renderer.toLinePath(vertexes2d, true),
		                area = H.shapeArea(vertexes2d),
		                visibility = (this.enabled && area > 0) ? 'visible' : 'hidden';

		            params.d = path;
		            this.attr('visibility', visibility);
		        }

		        return SVGElement.prototype.animate.apply(this, arguments);
		    };

		    return ret.attr(args);
		};

		// A Polyhedron is a handy way of defining a group of 3-D faces. It's only
		// attribute is `faces`, an array of attributes of each one of it's Face3D
		// instances.
		SVGRenderer.prototype.polyhedron = function (args) {
		    var renderer = this,
		        result = this.g(),
		        destroy = result.destroy;

		    if (!this.styledMode) {
		        result.attr({
		            'stroke-linejoin': 'round'
		        });
		    }

		    result.faces = [];


		    // destroy all children
		    result.destroy = function () {
		        for (var i = 0; i < result.faces.length; i++) {
		            result.faces[i].destroy();
		        }
		        return destroy.call(this);
		    };

		    result.attr = function (hash, val, complete, continueAnimation) {
		        if (typeof hash === 'object' && defined(hash.faces)) {
		            while (result.faces.length > hash.faces.length) {
		                result.faces.pop().destroy();
		            }
		            while (result.faces.length < hash.faces.length) {
		                result.faces.push(renderer.face3d().add(result));
		            }
		            for (var i = 0; i < hash.faces.length; i++) {
		                if (renderer.styledMode) {
		                    delete hash.faces[i].fill;
		                }
		                result.faces[i].attr(
		                    hash.faces[i],
		                    null,
		                    complete,
		                    continueAnimation
		                );
		            }
		            delete hash.faces;
		        }
		        return SVGElement.prototype.attr.apply(this, arguments);
		    };

		    result.animate = function (params, duration, complete) {
		        if (params && params.faces) {
		            while (result.faces.length > params.faces.length) {
		                result.faces.pop().destroy();
		            }
		            while (result.faces.length < params.faces.length) {
		                result.faces.push(renderer.face3d().add(result));
		            }
		            for (var i = 0; i < params.faces.length; i++) {
		                result.faces[i].animate(params.faces[i], duration, complete);
		            }
		            delete params.faces;
		        }
		        return SVGElement.prototype.animate.apply(this, arguments);
		    };

		    return result.attr(args);
		};

		// Base, abstract prototype member for 3D elements
		element3dMethods = {
		    // The init is used by base - renderer.Element
		    initArgs: function (args) {
		        var elem3d = this,
		            renderer = elem3d.renderer,
		            paths = renderer[elem3d.pathType + 'Path'](args),
		            zIndexes = paths.zIndexes;

		        // build parts
		        elem3d.parts.forEach(function (part) {
		            elem3d[part] = renderer.path(paths[part]).attr({
		                'class': 'highcharts-3d-' + part,
		                zIndex: zIndexes[part] || 0
		            }).add(elem3d);
		        });

		        elem3d.attr({
		            'stroke-linejoin': 'round',
		            zIndex: zIndexes.group
		        });

		        // store original destroy
		        elem3d.originalDestroy = elem3d.destroy;
		        elem3d.destroy = elem3d.destroyParts;
		    },

		    // Single property setter that applies options to each part
		    singleSetterForParts: function (
		        prop, val, values, verb, duration, complete
		    ) {
		        var elem3d = this,
		            newAttr = {},
		            optionsToApply = [null, null, (verb || 'attr'), duration, complete],
		            hasZIndexes = values && values.zIndexes;

		        if (!values) {
		            newAttr[prop] = val;
		            optionsToApply[0] = newAttr;
		        } else {
		            H.objectEach(values, function (partVal, part) {
		                newAttr[part] = {};
		                newAttr[part][prop] = partVal;

		                // include zIndexes if provided
		                if (hasZIndexes) {
		                    newAttr[part].zIndex = values.zIndexes[part] || 0;
		                }
		            });
		            optionsToApply[1] = newAttr;
		        }

		        return elem3d.processParts.apply(elem3d, optionsToApply);
		    },

		    // Calls function for each part. Used for attr, animate and destroy.
		    processParts: function (props, partsProps, verb, duration, complete) {
		        var elem3d = this;

		        elem3d.parts.forEach(function (part) {
		            // if different props for different parts
		            if (partsProps) {
		                props = H.pick(partsProps[part], false);
		            }

		            // only if something to set, but allow undefined
		            if (props !== false) {
		                elem3d[part][verb](props, duration, complete);
		            }
		        });
		        return elem3d;
		    },

		    // Destroy all parts
		    destroyParts: function () {
		        this.processParts(null, null, 'destroy');
		        return this.originalDestroy();
		    }
		};

		// CUBOID
		cuboidMethods = H.merge(element3dMethods, {
		    parts: ['front', 'top', 'side'],
		    pathType: 'cuboid',

		    attr: function (args, val, complete, continueAnimation) {
		        // Resolve setting attributes by string name
		        if (typeof args === 'string' && typeof val !== 'undefined') {
		            var key = args;

		            args = {};
		            args[key] = val;
		        }

		        if (args.shapeArgs || defined(args.x)) {
		            return this.singleSetterForParts(
		                'd',
		                null,
		                this.renderer[this.pathType + 'Path'](args.shapeArgs || args)
		            );
		        }

		        return SVGElement.prototype.attr.call(
		            this, args, undefined, complete, continueAnimation
		        );
		    },
		    animate: function (args, duration, complete) {
		        if (defined(args.x) && defined(args.y)) {
		            var paths = this.renderer[this.pathType + 'Path'](args);

		            this.singleSetterForParts(
		                'd', null, paths, 'animate', duration, complete
		            );

		            this.attr({
		                zIndex: paths.zIndexes.group
		            });
		        } else if (args.opacity) {
		            this.processParts(args, null, 'animate', duration, complete);
		        } else {
		            SVGElement.prototype.animate.call(this, args, duration, complete);
		        }
		        return this;
		    },
		    fillSetter: function (fill) {
		        this.singleSetterForParts('fill', null, {
		            front: fill,
		            top: color(fill).brighten(0.1).get(),
		            side: color(fill).brighten(-0.1).get()
		        });

		        // fill for animation getter (#6776)
		        this.color = this.fill = fill;

		        return this;
		    },
		    opacitySetter: function (opacity) {
		        return this.singleSetterForParts('opacity', opacity);
		    }
		});

		// set them up
		SVGRenderer.prototype.elements3d = {
		    base: element3dMethods,
		    cuboid: cuboidMethods
		};

		// return result, generalization
		SVGRenderer.prototype.element3d = function (type, shapeArgs) {
		    // base
		    var ret = this.g();

		    // extend
		    H.extend(ret, this.elements3d[type]);

		    // init
		    ret.initArgs(shapeArgs);

		    // return
		    return ret;
		};

		// generelized, so now use simply
		SVGRenderer.prototype.cuboid = function (shapeArgs) {
		    return this.element3d('cuboid', shapeArgs);
		};

		// Generates a cuboid path and zIndexes
		H.SVGRenderer.prototype.cuboidPath = function (shapeArgs) {
		    var x = shapeArgs.x,
		        y = shapeArgs.y,
		        z = shapeArgs.z,
		        h = shapeArgs.height,
		        w = shapeArgs.width,
		        d = shapeArgs.depth,
		        chart = charts[this.chartIndex],
		        front,
		        back,
		        top,
		        bottom,
		        left,
		        right,
		        shape,
		        path1,
		        path2,
		        path3,
		        isFront,
		        isTop,
		        isRight,
		        options3d = chart.options.chart.options3d,
		        alpha = options3d.alpha,
		        // Priority for x axis is the biggest,
		        // because of x direction has biggest influence on zIndex
		        incrementX = 10000,
		        // y axis has the smallest priority in case of our charts
		        // (needs to be set because of stacking)
		        incrementY = 10,
		        incrementZ = 100,
		        zIndex = 0,

		        // The 8 corners of the cube
		        pArr = [{
		            x: x,
		            y: y,
		            z: z
		        }, {
		            x: x + w,
		            y: y,
		            z: z
		        }, {
		            x: x + w,
		            y: y + h,
		            z: z
		        }, {
		            x: x,
		            y: y + h,
		            z: z
		        }, {
		            x: x,
		            y: y + h,
		            z: z + d
		        }, {
		            x: x + w,
		            y: y + h,
		            z: z + d
		        }, {
		            x: x + w,
		            y: y,
		            z: z + d
		        }, {
		            x: x,
		            y: y,
		            z: z + d
		        }],

		        pickShape;

		    // apply perspective
		    pArr = perspective(pArr, chart, shapeArgs.insidePlotArea);

		    // helper method to decide which side is visible
		    function mapPath(i) {
		        return pArr[i];
		    }

		    /* *
		     * First value - path with specific side
		     * Second  value - added information about side for later calculations.
		     * Possible second values are 0 for path1, 1 for path2 and -1 for no path
		     * chosen.
		     */
		    pickShape = function (path1, path2) {
		        var ret = [
		            [], -1
		        ];

		        path1 = path1.map(mapPath);
		        path2 = path2.map(mapPath);
		        if (H.shapeArea(path1) < 0) {
		            ret = [path1, 0];
		        } else if (H.shapeArea(path2) < 0) {
		            ret = [path2, 1];
		        }
		        return ret;
		    };

		    // front or back
		    front = [3, 2, 1, 0];
		    back = [7, 6, 5, 4];
		    shape = pickShape(front, back);
		    path1 = shape[0];
		    isFront = shape[1];


		    // top or bottom
		    top = [1, 6, 7, 0];
		    bottom = [4, 5, 2, 3];
		    shape = pickShape(top, bottom);
		    path2 = shape[0];
		    isTop = shape[1];

		    // side
		    right = [1, 2, 5, 6];
		    left = [0, 7, 4, 3];
		    shape = pickShape(right, left);
		    path3 = shape[0];
		    isRight = shape[1];

		    /* New block used for calculating zIndex. It is basing on X, Y and Z
		       position of specific columns. All zIndexes (for X, Y and Z values) are
		       added to the final zIndex, where every value has different priority. The
		       biggest priority is in X and Z directions, the lowest index is for
		       stacked columns (Y direction and the same X and Z positions). Big
		       differences between priorities is made because we need to ensure that
		       even for big changes in Y and Z parameters all columns will be drawn
		       correctly. */

		    if (isRight === 1) {
		        zIndex += incrementX * (1000 - x);
		    } else if (!isRight) {
		        zIndex += incrementX * x;
		    }

		    zIndex += incrementY * (
		        !isTop ||
		        // Numbers checked empirically
		        (alpha >= 0 && alpha <= 180 || alpha < 360 && alpha > 357.5) ?
		            chart.plotHeight - y : 10 + y
		    );

		    if (isFront === 1) {
		        zIndex += incrementZ * (z);
		    } else if (!isFront) {
		        zIndex += incrementZ * (1000 - z);
		    }

		    return {
		        front: this.toLinePath(path1, true),
		        top: this.toLinePath(path2, true),
		        side: this.toLinePath(path3, true),
		        zIndexes: {
		            group: Math.round(zIndex)
		        },

		        // additional info about zIndexes
		        isFront: isFront,
		        isTop: isTop
		    }; // #4774
		};

		// SECTORS //
		H.SVGRenderer.prototype.arc3d = function (attribs) {

		    var wrapper = this.g(),
		        renderer = wrapper.renderer,
		        customAttribs = ['x', 'y', 'r', 'innerR', 'start', 'end'];

		    // Get custom attributes. Don't mutate the original object and return an
		    // object with only custom attr.
		    function suckOutCustom(params) {
		        var hasCA = false,
		            ca = {},
		            key;

		        params = merge(params); // Don't mutate the original object

		        for (key in params) {
		            if (customAttribs.indexOf(key) !== -1) {
		                ca[key] = params[key];
		                delete params[key];
		                hasCA = true;
		            }
		        }
		        return hasCA ? ca : false;
		    }

		    attribs = merge(attribs);

		    attribs.alpha = (attribs.alpha || 0) * deg2rad;
		    attribs.beta = (attribs.beta || 0) * deg2rad;

		    // Create the different sub sections of the shape
		    wrapper.top = renderer.path();
		    wrapper.side1 = renderer.path();
		    wrapper.side2 = renderer.path();
		    wrapper.inn = renderer.path();
		    wrapper.out = renderer.path();

		    // Add all faces
		    wrapper.onAdd = function () {
		        var parent = wrapper.parentGroup,
		            className = wrapper.attr('class');

		        wrapper.top.add(wrapper);

		        // These faces are added outside the wrapper group because the z index
		        // relates to neighbour elements as well
		        ['out', 'inn', 'side1', 'side2'].forEach(function (face) {
		            wrapper[face]
		                .attr({
		                    'class': className + ' highcharts-3d-side'
		                })
		                .add(parent);
		        });
		    };

		    // Cascade to faces
		    ['addClass', 'removeClass'].forEach(function (fn) {
		        wrapper[fn] = function () {
		            var args = arguments;

		            ['top', 'out', 'inn', 'side1', 'side2'].forEach(function (face) {
		                wrapper[face][fn].apply(wrapper[face], args);
		            });
		        };
		    });

		    // Compute the transformed paths and set them to the composite shapes
		    wrapper.setPaths = function (attribs) {

		        var paths = wrapper.renderer.arc3dPath(attribs),
		            zIndex = paths.zTop * 100;

		        wrapper.attribs = attribs;

		        wrapper.top.attr({ d: paths.top, zIndex: paths.zTop });
		        wrapper.inn.attr({ d: paths.inn, zIndex: paths.zInn });
		        wrapper.out.attr({ d: paths.out, zIndex: paths.zOut });
		        wrapper.side1.attr({ d: paths.side1, zIndex: paths.zSide1 });
		        wrapper.side2.attr({ d: paths.side2, zIndex: paths.zSide2 });


		        // show all children
		        wrapper.zIndex = zIndex;
		        wrapper.attr({ zIndex: zIndex });

		        // Set the radial gradient center the first time
		        if (attribs.center) {
		            wrapper.top.setRadialReference(attribs.center);
		            delete attribs.center;
		        }
		    };
		    wrapper.setPaths(attribs);

		    // Apply the fill to the top and a darker shade to the sides
		    wrapper.fillSetter = function (value) {
		        var darker = color(value).brighten(-0.1).get();

		        this.fill = value;

		        this.side1.attr({ fill: darker });
		        this.side2.attr({ fill: darker });
		        this.inn.attr({ fill: darker });
		        this.out.attr({ fill: darker });
		        this.top.attr({ fill: value });
		        return this;
		    };

		    // Apply the same value to all. These properties cascade down to the
		    // children when set to the composite arc3d.
		    ['opacity', 'translateX', 'translateY', 'visibility'].forEach(
		        function (setter) {
		            wrapper[setter + 'Setter'] = function (value, key) {
		                wrapper[key] = value;
		                ['out', 'inn', 'side1', 'side2', 'top'].forEach(function (el) {
		                    wrapper[el].attr(key, value);
		                });
		            };
		        }
		    );

		    // Override attr to remove shape attributes and use those to set child paths
		    wrapper.attr = function (params) {
		        var ca;

		        if (typeof params === 'object') {
		            ca = suckOutCustom(params);
		            if (ca) {
		                extend(wrapper.attribs, ca);
		                wrapper.setPaths(wrapper.attribs);
		            }
		        }
		        return SVGElement.prototype.attr.apply(wrapper, arguments);
		    };

		    // Override the animate function by sucking out custom parameters related to
		    // the shapes directly, and update the shapes from the animation step.
		    wrapper.animate = function (params, animation, complete) {
		        var ca,
		            from = this.attribs,
		            to,
		            anim,
		            randomProp = 'data-' + Math.random().toString(26).substring(2, 9);

		        // Attribute-line properties connected to 3D. These shouldn't have been
		        // in the attribs collection in the first place.
		        delete params.center;
		        delete params.z;
		        delete params.depth;
		        delete params.alpha;
		        delete params.beta;

		        anim = animObject(pick(animation, this.renderer.globalAnimation));

		        if (anim.duration) {
		            ca = suckOutCustom(params);
		            // Params need to have a property in order for the step to run
		            // (#5765, #7097, #7437)
		            wrapper[randomProp] = 0;
		            params[randomProp] = 1;
		            wrapper[randomProp + 'Setter'] = H.noop;

		            if (ca) {
		                to = ca;
		                anim.step = function (a, fx) {
		                    function interpolate(key) {
		                        return from[key] +
		                            (pick(to[key], from[key]) - from[key]) * fx.pos;
		                    }

		                    if (fx.prop === randomProp) {
		                        fx.elem.setPaths(merge(from, {
		                            x: interpolate('x'),
		                            y: interpolate('y'),
		                            r: interpolate('r'),
		                            innerR: interpolate('innerR'),
		                            start: interpolate('start'),
		                            end: interpolate('end')
		                        }));
		                    }
		                };
		            }
		            animation = anim; // Only when duration (#5572)
		        }
		        return SVGElement.prototype.animate.call(
		            this,
		            params,
		            animation,
		            complete
		        );
		    };

		    // destroy all children
		    wrapper.destroy = function () {
		        this.top.destroy();
		        this.out.destroy();
		        this.inn.destroy();
		        this.side1.destroy();
		        this.side2.destroy();

		        SVGElement.prototype.destroy.call(this);
		    };
		    // hide all children
		    wrapper.hide = function () {
		        this.top.hide();
		        this.out.hide();
		        this.inn.hide();
		        this.side1.hide();
		        this.side2.hide();
		    };
		    wrapper.show = function (inherit) {
		        this.top.show(inherit);
		        this.out.show(inherit);
		        this.inn.show(inherit);
		        this.side1.show(inherit);
		        this.side2.show(inherit);
		    };
		    return wrapper;
		};

		// Generate the paths required to draw a 3D arc
		SVGRenderer.prototype.arc3dPath = function (shapeArgs) {
		    var cx = shapeArgs.x, // x coordinate of the center
		        cy = shapeArgs.y, // y coordinate of the center
		        start = shapeArgs.start, // start angle
		        end = shapeArgs.end - 0.00001, // end angle
		        r = shapeArgs.r, // radius
		        ir = shapeArgs.innerR || 0, // inner radius
		        d = shapeArgs.depth || 0, // depth
		        alpha = shapeArgs.alpha, // alpha rotation of the chart
		        beta = shapeArgs.beta; // beta rotation of the chart

		    // Derived Variables
		    var cs = Math.cos(start), // cosinus of the start angle
		        ss = Math.sin(start), // sinus of the start angle
		        ce = Math.cos(end), // cosinus of the end angle
		        se = Math.sin(end), // sinus of the end angle
		        rx = r * Math.cos(beta), // x-radius
		        ry = r * Math.cos(alpha), // y-radius
		        irx = ir * Math.cos(beta), // x-radius (inner)
		        iry = ir * Math.cos(alpha), // y-radius (inner)
		        dx = d * Math.sin(beta), // distance between top and bottom in x
		        dy = d * Math.sin(alpha); // distance between top and bottom in y

		    // TOP
		    var top = ['M', cx + (rx * cs), cy + (ry * ss)];

		    top = top.concat(curveTo(cx, cy, rx, ry, start, end, 0, 0));
		    top = top.concat([
		        'L', cx + (irx * ce), cy + (iry * se)
		    ]);
		    top = top.concat(curveTo(cx, cy, irx, iry, end, start, 0, 0));
		    top = top.concat(['Z']);

		    // OUTSIDE
		    var b = (beta > 0 ? Math.PI / 2 : 0),
		        a = (alpha > 0 ? 0 : Math.PI / 2);

		    var start2 = start > -b ? start : (end > -b ? -b : start),
		        end2 = end < PI - a ? end : (start < PI - a ? PI - a : end),
		        midEnd = 2 * PI - a;

		    // When slice goes over bottom middle, need to add both, left and right
		    // outer side. Additionally, when we cross right hand edge, create sharp
		    // edge. Outer shape/wall:
		    //
		    //            -------
		    //          /    ^    \
		    //    4)   /   /   \   \  1)
		    //        /   /     \   \
		    //       /   /       \   \
		    // (c)=> ====         ==== <=(d)
		    //       \   \       /   /
		    //        \   \<=(a)/   /
		    //         \   \   /   / <=(b)
		    //    3)    \    v    /  2)
		    //            -------
		    //
		    // (a) - inner side
		    // (b) - outer side
		    // (c) - left edge (sharp)
		    // (d) - right edge (sharp)
		    // 1..n - rendering order for startAngle = 0, when set to e.g 90, order
		    // changes clockwise (1->2, 2->3, n->1) and counterclockwise for negative
		    // startAngle

		    var out = ['M', cx + (rx * cos(start2)), cy + (ry * sin(start2))];

		    out = out.concat(curveTo(cx, cy, rx, ry, start2, end2, 0, 0));

		    // When shape is wide, it can cross both, (c) and (d) edges, when using
		    // startAngle
		    if (end > midEnd && start < midEnd) {
		        // Go to outer side
		        out = out.concat([
		            'L', cx + (rx * cos(end2)) + dx, cy + (ry * sin(end2)) + dy
		        ]);
		        // Curve to the right edge of the slice (d)
		        out = out.concat(curveTo(cx, cy, rx, ry, end2, midEnd, dx, dy));
		        // Go to the inner side
		        out = out.concat([
		            'L', cx + (rx * cos(midEnd)), cy + (ry * sin(midEnd))
		        ]);
		        // Curve to the true end of the slice
		        out = out.concat(curveTo(cx, cy, rx, ry, midEnd, end, 0, 0));
		        // Go to the outer side
		        out = out.concat([
		            'L', cx + (rx * cos(end)) + dx, cy + (ry * sin(end)) + dy
		        ]);
		        // Go back to middle (d)
		        out = out.concat(curveTo(cx, cy, rx, ry, end, midEnd, dx, dy));
		        out = out.concat([
		            'L', cx + (rx * cos(midEnd)), cy + (ry * sin(midEnd))
		        ]);
		        // Go back to the left edge
		        out = out.concat(curveTo(cx, cy, rx, ry, midEnd, end2, 0, 0));

		    // But shape can cross also only (c) edge:
		    } else if (end > PI - a && start < PI - a) {
		        // Go to outer side
		        out = out.concat([
		            'L',
		            cx + (rx * Math.cos(end2)) + dx,
		            cy + (ry * Math.sin(end2)) + dy
		        ]);
		        // Curve to the true end of the slice
		        out = out.concat(curveTo(cx, cy, rx, ry, end2, end, dx, dy));
		        // Go to the inner side
		        out = out.concat([
		            'L', cx + (rx * Math.cos(end)), cy + (ry * Math.sin(end))
		        ]);
		        // Go back to the artifical end2
		        out = out.concat(curveTo(cx, cy, rx, ry, end, end2, 0, 0));
		    }

		    out = out.concat([
		        'L', cx + (rx * Math.cos(end2)) + dx, cy + (ry * Math.sin(end2)) + dy
		    ]);
		    out = out.concat(curveTo(cx, cy, rx, ry, end2, start2, dx, dy));
		    out = out.concat(['Z']);

		    // INSIDE
		    var inn = ['M', cx + (irx * cs), cy + (iry * ss)];

		    inn = inn.concat(curveTo(cx, cy, irx, iry, start, end, 0, 0));
		    inn = inn.concat([
		        'L', cx + (irx * Math.cos(end)) + dx, cy + (iry * Math.sin(end)) + dy
		    ]);
		    inn = inn.concat(curveTo(cx, cy, irx, iry, end, start, dx, dy));
		    inn = inn.concat(['Z']);

		    // SIDES
		    var side1 = [
		        'M', cx + (rx * cs), cy + (ry * ss),
		        'L', cx + (rx * cs) + dx, cy + (ry * ss) + dy,
		        'L', cx + (irx * cs) + dx, cy + (iry * ss) + dy,
		        'L', cx + (irx * cs), cy + (iry * ss),
		        'Z'
		    ];
		    var side2 = [
		        'M', cx + (rx * ce), cy + (ry * se),
		        'L', cx + (rx * ce) + dx, cy + (ry * se) + dy,
		        'L', cx + (irx * ce) + dx, cy + (iry * se) + dy,
		        'L', cx + (irx * ce), cy + (iry * se),
		        'Z'
		    ];

		    // correction for changed position of vanishing point caused by alpha and
		    // beta rotations
		    var angleCorr = Math.atan2(dy, -dx),
		        angleEnd = Math.abs(end + angleCorr),
		        angleStart = Math.abs(start + angleCorr),
		        angleMid = Math.abs((start + end) / 2 + angleCorr);

		    // set to 0-PI range
		    function toZeroPIRange(angle) {
		        angle = angle % (2 * Math.PI);
		        if (angle > Math.PI) {
		            angle = 2 * Math.PI - angle;
		        }
		        return angle;
		    }
		    angleEnd = toZeroPIRange(angleEnd);
		    angleStart = toZeroPIRange(angleStart);
		    angleMid = toZeroPIRange(angleMid);

		    // *1e5 is to compensate pInt in zIndexSetter
		    var incPrecision = 1e5,
		        a1 = angleMid * incPrecision,
		        a2 = angleStart * incPrecision,
		        a3 = angleEnd * incPrecision;

		    return {
		        top: top,
		        // max angle is PI, so this is always higher
		        zTop: Math.PI * incPrecision + 1,
		        out: out,
		        zOut: Math.max(a1, a2, a3),
		        inn: inn,
		        zInn: Math.max(a1, a2, a3),
		        side1: side1,
		        zSide1: a3 * 0.99, // to keep below zOut and zInn in case of same values
		        side2: side2,
		        zSide2: a2 * 0.99
		    };
		};

	}(Highcharts));
	(function (H) {
		/* *
		 * (c) 2010-2019 Torstein Honsi
		 *
		 * Extension for 3D charts
		 *
		 * License: www.highcharts.com/license
		 */



		var addEvent = H.addEvent,
		    Chart = H.Chart,
		    merge = H.merge,
		    perspective = H.perspective,
		    pick = H.pick,
		    wrap = H.wrap;

		// Shorthand to check the is3d flag
		Chart.prototype.is3d = function () {
		    return (
		        this.options.chart.options3d &&
		        this.options.chart.options3d.enabled
		    ); // #4280
		};

		Chart.prototype.propsRequireDirtyBox.push('chart.options3d');
		Chart.prototype.propsRequireUpdateSeries.push('chart.options3d');

		// Legacy support for HC < 6 to make 'scatter' series in a 3D chart route to the
		// real 'scatter3d' series type.
		addEvent(Chart, 'afterInit', function () {
		    var options = this.options;

		    if (this.is3d()) {
		        (options.series || []).forEach(function (s) {
		            var type = s.type ||
		                options.chart.type ||
		                options.chart.defaultSeriesType;

		            if (type === 'scatter') {
		                s.type = 'scatter3d';
		            }
		        });
		    }
		});
		// And do it on dynamic add (#8407)
		addEvent(Chart, 'addSeries', function (e) {
		    if (this.is3d()) {
		        if (e.options.type === 'scatter') {
		            e.options.type = 'scatter3d';
		        }
		    }
		});

		/**
		 * Calculate scale of the 3D view. That is required to
		 * fit chart's 3D projection into the actual plotting area. Reported as #4933.
		 * @notice This function should ideally take the plot values instead of a chart
		 *         object, but since the chart object is needed for perspective it is
		 *         not practical. Possible to make both getScale and perspective more
		 *         logical and also immutable.
		 *
		 * @private
		 * @function getScale
		 *
		 * @param {Highcharts.Chart} chart
		 *        Chart object
		 *
		 * @param {number} depth
		 *        The depth of the chart
		 *
		 * @return {number}
		 *         The scale to fit the 3D chart into the plotting area.
		 */
		function getScale(chart, depth) {
		    var plotLeft = chart.plotLeft,
		        plotRight = chart.plotWidth + plotLeft,
		        plotTop = chart.plotTop,
		        plotBottom = chart.plotHeight + plotTop,
		        originX = plotLeft + chart.plotWidth / 2,
		        originY = plotTop + chart.plotHeight / 2,
		        bbox3d = {
		            minX: Number.MAX_VALUE,
		            maxX: -Number.MAX_VALUE,
		            minY: Number.MAX_VALUE,
		            maxY: -Number.MAX_VALUE
		        },
		        corners,
		        scale = 1;

		    // Top left corners:
		    corners = [{
		        x: plotLeft,
		        y: plotTop,
		        z: 0
		    }, {
		        x: plotLeft,
		        y: plotTop,
		        z: depth
		    }];

		    // Top right corners:
		    [0, 1].forEach(function (i) {
		        corners.push({
		            x: plotRight,
		            y: corners[i].y,
		            z: corners[i].z
		        });
		    });

		    // All bottom corners:
		    [0, 1, 2, 3].forEach(function (i) {
		        corners.push({
		            x: corners[i].x,
		            y: plotBottom,
		            z: corners[i].z
		        });
		    });

		    // Calculate 3D corners:
		    corners = perspective(corners, chart, false);

		    // Get bounding box of 3D element:
		    corners.forEach(function (corner) {
		        bbox3d.minX = Math.min(bbox3d.minX, corner.x);
		        bbox3d.maxX = Math.max(bbox3d.maxX, corner.x);
		        bbox3d.minY = Math.min(bbox3d.minY, corner.y);
		        bbox3d.maxY = Math.max(bbox3d.maxY, corner.y);
		    });

		    // Left edge:
		    if (plotLeft > bbox3d.minX) {
		        scale = Math.min(
		            scale,
		            1 - Math.abs((plotLeft + originX) / (bbox3d.minX + originX)) % 1
		        );
		    }

		    // Right edge:
		    if (plotRight < bbox3d.maxX) {
		        scale = Math.min(
		            scale,
		            (plotRight - originX) / (bbox3d.maxX - originX)
		        );
		    }

		    // Top edge:
		    if (plotTop > bbox3d.minY) {
		        if (bbox3d.minY < 0) {
		            scale = Math.min(
		                scale,
		                (plotTop + originY) / (-bbox3d.minY + plotTop + originY)
		            );
		        } else {
		            scale = Math.min(
		                scale,
		                1 - (plotTop + originY) / (bbox3d.minY + originY) % 1
		            );
		        }
		    }

		    // Bottom edge:
		    if (plotBottom < bbox3d.maxY) {
		        scale = Math.min(
		            scale,
		            Math.abs((plotBottom - originY) / (bbox3d.maxY - originY))
		        );
		    }

		    return scale;
		}


		H.wrap(H.Chart.prototype, 'isInsidePlot', function (proceed) {
		    return this.is3d() || proceed.apply(this, [].slice.call(arguments, 1));
		});

		var defaultOptions = H.getOptions();

		/**
		 * @optionparent
		 */
		var extendedOptions = {

		    chart: {

		        /**
		         * Options to render charts in 3 dimensions. This feature requires
		         * `highcharts-3d.js`, found in the download package or online at
		         * [code.highcharts.com/highcharts-3d.js](http://code.highcharts.com/highcharts-3d.js).
		         *
		         * @since   4.0
		         * @product highcharts
		         */
		        options3d: {

		            /**
		             * Wether to render the chart using the 3D functionality.
		             *
		             * @since   4.0
		             * @product highcharts
		             */
		            enabled: false,

		            /**
		             * One of the two rotation angles for the chart.
		             *
		             * @since   4.0
		             * @product highcharts
		             */
		            alpha: 0,

		            /**
		             * One of the two rotation angles for the chart.
		             *
		             * @since   4.0
		             * @product highcharts
		             */
		            beta: 0,

		            /**
		             * The total depth of the chart.
		             *
		             * @since   4.0
		             * @product highcharts
		             */
		            depth: 100,

		            /**
		             * Whether the 3d box should automatically adjust to the chart plot
		             * area.
		             *
		             * @since   4.2.4
		             * @product highcharts
		             */
		            fitToPlot: true,

		            /**
		             * Defines the distance the viewer is standing in front of the
		             * chart, this setting is important to calculate the perspective
		             * effect in column and scatter charts. It is not used for 3D pie
		             * charts.
		             *
		             * @since   4.0
		             * @product highcharts
		             */
		            viewDistance: 25,

		            /**
		             * Set it to `"auto"` to automatically move the labels to the best
		             * edge.
		             *
		             * @type    {"auto"|null}
		             * @since   5.0.12
		             * @product highcharts
		             */
		            axisLabelPosition: null,

		            /**
		             * Provides the option to draw a frame around the charts by defining
		             * a bottom, front and back panel.
		             *
		             * @since   4.0
		             * @product highcharts
		             */
		            frame: {

		                /**
		                 * Whether the frames are visible.
		                 */
		                visible: 'default',

		                /**
		                 * General pixel thickness for the frame faces.
		                 */
		                size: 1,

		                /**
		                 * The bottom of the frame around a 3D chart.
		                 *
		                 * @since   4.0
		                 * @product highcharts
		                 */

		                /**
		                 * The color of the panel.
		                 *
		                 * @type      {Highcharts.ColorString|Highcharts.GradientColorObject|Highcharts.PatternObject}
		                 * @default   transparent
		                 * @since     4.0
		                 * @product   highcharts
		                 * @apioption chart.options3d.frame.bottom.color
		                 */

		                /**
		                 * The thickness of the panel.
		                 *
		                 * @type      {number}
		                 * @default   1
		                 * @since     4.0
		                 * @product   highcharts
		                 * @apioption chart.options3d.frame.bottom.size
		                 */

		                /**
		                 * Whether to display the frame. Possible values are `true`,
		                 * `false`, `"auto"` to display only the frames behind the data,
		                 * and `"default"` to display faces behind the data based on the
		                 * axis layout, ignoring the point of view.
		                 *
		                 * @sample {highcharts} highcharts/3d/scatter-frame/
		                 *         Auto frames
		                 *
		                 * @type      {boolean|"default"|"auto"}
		                 * @default   default
		                 * @since     5.0.12
		                 * @product   highcharts
		                 * @apioption chart.options3d.frame.bottom.visible
		                 */

		                /**
		                 * The bottom of the frame around a 3D chart.
		                 */
		                bottom: {},

		                /**
		                 * The top of the frame around a 3D chart.
		                 *
		                 * @extends chart.options3d.frame.bottom
		                 */
		                top: {},

		                /**
		                 * The left side of the frame around a 3D chart.
		                 *
		                 * @extends chart.options3d.frame.bottom
		                 */
		                left: {},

		                /**
		                 * The right of the frame around a 3D chart.
		                 *
		                 * @extends chart.options3d.frame.bottom
		                 */
		                right: {},

		                /**
		                 * The back side of the frame around a 3D chart.
		                 *
		                 * @extends chart.options3d.frame.bottom
		                 */
		                back: {},

		                /**
		                 * The front of the frame around a 3D chart.
		                 *
		                 * @extends chart.options3d.frame.bottom
		                 */
		                front: {}
		            }
		        }
		    }
		};

		merge(true, defaultOptions, extendedOptions);

		// Add the required CSS classes for column sides (#6018)
		addEvent(Chart, 'afterGetContainer', function () {
		    if (this.styledMode) {
		        this.renderer.definition({
		            tagName: 'style',
		            textContent:
		                '.highcharts-3d-top{' +
		                    'filter: url(#highcharts-brighter)' +
		                '}\n' +
		                '.highcharts-3d-side{' +
		                    'filter: url(#highcharts-darker)' +
		                '}\n'
		        });

		        // Add add definitions used by brighter and darker faces of the cuboids.
		        [{
		            name: 'darker',
		            slope: 0.6
		        }, {
		            name: 'brighter',
		            slope: 1.4
		        }].forEach(function (cfg) {
		            this.renderer.definition({
		                tagName: 'filter',
		                id: 'highcharts-' + cfg.name,
		                children: [{
		                    tagName: 'feComponentTransfer',
		                    children: [{
		                        tagName: 'feFuncR',
		                        type: 'linear',
		                        slope: cfg.slope
		                    }, {
		                        tagName: 'feFuncG',
		                        type: 'linear',
		                        slope: cfg.slope
		                    }, {
		                        tagName: 'feFuncB',
		                        type: 'linear',
		                        slope: cfg.slope
		                    }]
		                }]
		            });
		        }, this);
		    }
		});

		wrap(Chart.prototype, 'setClassName', function (proceed) {
		    proceed.apply(this, [].slice.call(arguments, 1));

		    if (this.is3d()) {
		        this.container.className += ' highcharts-3d-chart';
		    }
		});

		addEvent(H.Chart, 'afterSetChartSize', function () {
		    var chart = this,
		        options3d = chart.options.chart.options3d;

		    if (chart.is3d()) {
		        var inverted = chart.inverted,
		            clipBox = chart.clipBox,
		            margin = chart.margin,
		            x = inverted ? 'y' : 'x',
		            y = inverted ? 'x' : 'y',
		            w = inverted ? 'height' : 'width',
		            h = inverted ? 'width' : 'height';

		        clipBox[x] = -(margin[3] || 0);
		        clipBox[y] = -(margin[0] || 0);
		        clipBox[w] = chart.chartWidth + (margin[3] || 0) + (margin[1] || 0);
		        clipBox[h] = chart.chartHeight + (margin[0] || 0) + (margin[2] || 0);

		        // Set scale, used later in perspective method():
		        // getScale uses perspective, so scale3d has to be reset.
		        chart.scale3d = 1;
		        if (options3d.fitToPlot === true) {
		            chart.scale3d = getScale(chart, options3d.depth);
		        }
		        // Recalculate the 3d frame with every call of setChartSize,
		        // instead of doing it after every redraw(). It avoids ticks
		        // and axis title outside of chart.
		        chart.frame3d = this.get3dFrame(); // #7942
		    }
		});

		addEvent(Chart, 'beforeRedraw', function () {
		    if (this.is3d()) {
		        // Set to force a redraw of all elements
		        this.isDirtyBox = true;
		    }
		});

		addEvent(Chart, 'beforeRender', function () {
		    if (this.is3d()) {
		        this.frame3d = this.get3dFrame();
		    }
		});

		// Draw the series in the reverse order (#3803, #3917)
		wrap(Chart.prototype, 'renderSeries', function (proceed) {
		    var series,
		        i = this.series.length;

		    if (this.is3d()) {
		        while (i--) {
		            series = this.series[i];
		            series.translate();
		            series.render();
		        }
		    } else {
		        proceed.call(this);
		    }
		});

		addEvent(Chart, 'afterDrawChartBox', function () {
		    if (this.is3d()) {
		        var chart = this,
		            renderer = chart.renderer,
		            options3d = this.options.chart.options3d,
		            frame = chart.get3dFrame(),
		            xm = this.plotLeft,
		            xp = this.plotLeft + this.plotWidth,
		            ym = this.plotTop,
		            yp = this.plotTop + this.plotHeight,
		            zm = 0,
		            zp = options3d.depth,
		            xmm = xm - (frame.left.visible ? frame.left.size : 0),
		            xpp = xp + (frame.right.visible ? frame.right.size : 0),
		            ymm = ym - (frame.top.visible ? frame.top.size : 0),
		            ypp = yp + (frame.bottom.visible ? frame.bottom.size : 0),
		            zmm = zm - (frame.front.visible ? frame.front.size : 0),
		            zpp = zp + (frame.back.visible ? frame.back.size : 0),
		            verb = chart.hasRendered ? 'animate' : 'attr';

		        this.frame3d = frame;

		        if (!this.frameShapes) {
		            this.frameShapes = {
		                bottom: renderer.polyhedron().add(),
		                top: renderer.polyhedron().add(),
		                left: renderer.polyhedron().add(),
		                right: renderer.polyhedron().add(),
		                back: renderer.polyhedron().add(),
		                front: renderer.polyhedron().add()
		            };
		        }
		        this.frameShapes.bottom[verb]({
		            'class': 'highcharts-3d-frame highcharts-3d-frame-bottom',
		            zIndex: frame.bottom.frontFacing ? -1000 : 1000,
		            faces: [{ // bottom
		                fill: H.color(frame.bottom.color).brighten(0.1).get(),
		                vertexes: [{
		                    x: xmm,
		                    y: ypp,
		                    z: zmm
		                }, {
		                    x: xpp,
		                    y: ypp,
		                    z: zmm
		                }, {
		                    x: xpp,
		                    y: ypp,
		                    z: zpp
		                }, {
		                    x: xmm,
		                    y: ypp,
		                    z: zpp
		                }],
		                enabled: frame.bottom.visible
		            },
		            { // top
		                fill: H.color(frame.bottom.color).brighten(0.1).get(),
		                vertexes: [{
		                    x: xm,
		                    y: yp,
		                    z: zp
		                }, {
		                    x: xp,
		                    y: yp,
		                    z: zp
		                }, {
		                    x: xp,
		                    y: yp,
		                    z: zm
		                }, {
		                    x: xm,
		                    y: yp,
		                    z: zm
		                }],
		                enabled: frame.bottom.visible
		            },
		            { // left
		                fill: H.color(frame.bottom.color).brighten(-0.1).get(),
		                vertexes: [{
		                    x: xmm,
		                    y: ypp,
		                    z: zmm
		                }, {
		                    x: xmm,
		                    y: ypp,
		                    z: zpp
		                }, {
		                    x: xm,
		                    y: yp,
		                    z: zp
		                }, {
		                    x: xm,
		                    y: yp,
		                    z: zm
		                }],
		                enabled: frame.bottom.visible && !frame.left.visible
		            },
		            { // right
		                fill: H.color(frame.bottom.color).brighten(-0.1).get(),
		                vertexes: [{
		                    x: xpp,
		                    y: ypp,
		                    z: zpp
		                }, {
		                    x: xpp,
		                    y: ypp,
		                    z: zmm
		                }, {
		                    x: xp,
		                    y: yp,
		                    z: zm
		                }, {
		                    x: xp,
		                    y: yp,
		                    z: zp
		                }],
		                enabled: frame.bottom.visible && !frame.right.visible
		            },
		            { // front
		                fill: H.color(frame.bottom.color).get(),
		                vertexes: [{
		                    x: xpp,
		                    y: ypp,
		                    z: zmm
		                }, {
		                    x: xmm,
		                    y: ypp,
		                    z: zmm
		                }, {
		                    x: xm,
		                    y: yp,
		                    z: zm
		                }, {
		                    x: xp,
		                    y: yp,
		                    z: zm
		                }],
		                enabled: frame.bottom.visible && !frame.front.visible
		            },
		            { // back
		                fill: H.color(frame.bottom.color).get(),
		                vertexes: [{
		                    x: xmm,
		                    y: ypp,
		                    z: zpp
		                }, {
		                    x: xpp,
		                    y: ypp,
		                    z: zpp
		                }, {
		                    x: xp,
		                    y: yp,
		                    z: zp
		                }, {
		                    x: xm,
		                    y: yp,
		                    z: zp
		                }],
		                enabled: frame.bottom.visible && !frame.back.visible
		            }]
		        });
		        this.frameShapes.top[verb]({
		            'class': 'highcharts-3d-frame highcharts-3d-frame-top',
		            zIndex: frame.top.frontFacing ? -1000 : 1000,
		            faces: [{ // bottom
		                fill: H.color(frame.top.color).brighten(0.1).get(),
		                vertexes: [{
		                    x: xmm,
		                    y: ymm,
		                    z: zpp
		                }, {
		                    x: xpp,
		                    y: ymm,
		                    z: zpp
		                }, {
		                    x: xpp,
		                    y: ymm,
		                    z: zmm
		                }, {
		                    x: xmm,
		                    y: ymm,
		                    z: zmm
		                }],
		                enabled: frame.top.visible
		            },
		            { // top
		                fill: H.color(frame.top.color).brighten(0.1).get(),
		                vertexes: [{
		                    x: xm,
		                    y: ym,
		                    z: zm
		                }, {
		                    x: xp,
		                    y: ym,
		                    z: zm
		                }, {
		                    x: xp,
		                    y: ym,
		                    z: zp
		                }, {
		                    x: xm,
		                    y: ym,
		                    z: zp
		                }],
		                enabled: frame.top.visible
		            },
		            { // left
		                fill: H.color(frame.top.color).brighten(-0.1).get(),
		                vertexes: [{
		                    x: xmm,
		                    y: ymm,
		                    z: zpp
		                }, {
		                    x: xmm,
		                    y: ymm,
		                    z: zmm
		                }, {
		                    x: xm,
		                    y: ym,
		                    z: zm
		                }, {
		                    x: xm,
		                    y: ym,
		                    z: zp
		                }],
		                enabled: frame.top.visible && !frame.left.visible
		            },
		            { // right
		                fill: H.color(frame.top.color).brighten(-0.1).get(),
		                vertexes: [{
		                    x: xpp,
		                    y: ymm,
		                    z: zmm
		                }, {
		                    x: xpp,
		                    y: ymm,
		                    z: zpp
		                }, {
		                    x: xp,
		                    y: ym,
		                    z: zp
		                }, {
		                    x: xp,
		                    y: ym,
		                    z: zm
		                }],
		                enabled: frame.top.visible && !frame.right.visible
		            },
		            { // front
		                fill: H.color(frame.top.color).get(),
		                vertexes: [{
		                    x: xmm,
		                    y: ymm,
		                    z: zmm
		                }, {
		                    x: xpp,
		                    y: ymm,
		                    z: zmm
		                }, {
		                    x: xp,
		                    y: ym,
		                    z: zm
		                }, {
		                    x: xm,
		                    y: ym,
		                    z: zm
		                }],
		                enabled: frame.top.visible && !frame.front.visible
		            },
		            { // back
		                fill: H.color(frame.top.color).get(),
		                vertexes: [{
		                    x: xpp,
		                    y: ymm,
		                    z: zpp
		                }, {
		                    x: xmm,
		                    y: ymm,
		                    z: zpp
		                }, {
		                    x: xm,
		                    y: ym,
		                    z: zp
		                }, {
		                    x: xp,
		                    y: ym,
		                    z: zp
		                }],
		                enabled: frame.top.visible && !frame.back.visible
		            }]
		        });
		        this.frameShapes.left[verb]({
		            'class': 'highcharts-3d-frame highcharts-3d-frame-left',
		            zIndex: frame.left.frontFacing ? -1000 : 1000,
		            faces: [{ // bottom
		                fill: H.color(frame.left.color).brighten(0.1).get(),
		                vertexes: [{
		                    x: xmm,
		                    y: ypp,
		                    z: zmm
		                }, {
		                    x: xm,
		                    y: yp,
		                    z: zm
		                }, {
		                    x: xm,
		                    y: yp,
		                    z: zp
		                }, {
		                    x: xmm,
		                    y: ypp,
		                    z: zpp
		                }],
		                enabled: frame.left.visible && !frame.bottom.visible
		            },
		            { // top
		                fill: H.color(frame.left.color).brighten(0.1).get(),
		                vertexes: [{
		                    x: xmm,
		                    y: ymm,
		                    z: zpp
		                }, {
		                    x: xm,
		                    y: ym,
		                    z: zp
		                }, {
		                    x: xm,
		                    y: ym,
		                    z: zm
		                }, {
		                    x: xmm,
		                    y: ymm,
		                    z: zmm
		                }],
		                enabled: frame.left.visible && !frame.top.visible
		            },
		            { // left
		                fill: H.color(frame.left.color).brighten(-0.1).get(),
		                vertexes: [{
		                    x: xmm,
		                    y: ypp,
		                    z: zpp
		                }, {
		                    x: xmm,
		                    y: ymm,
		                    z: zpp
		                }, {
		                    x: xmm,
		                    y: ymm,
		                    z: zmm
		                }, {
		                    x: xmm,
		                    y: ypp,
		                    z: zmm
		                }],
		                enabled: frame.left.visible
		            },
		            { // right
		                fill: H.color(frame.left.color).brighten(-0.1).get(),
		                vertexes: [{
		                    x: xm,
		                    y: ym,
		                    z: zp
		                }, {
		                    x: xm,
		                    y: yp,
		                    z: zp
		                }, {
		                    x: xm,
		                    y: yp,
		                    z: zm
		                }, {
		                    x: xm,
		                    y: ym,
		                    z: zm
		                }],
		                enabled: frame.left.visible
		            },
		            { // front
		                fill: H.color(frame.left.color).get(),
		                vertexes: [{
		                    x: xmm,
		                    y: ypp,
		                    z: zmm
		                }, {
		                    x: xmm,
		                    y: ymm,
		                    z: zmm
		                }, {
		                    x: xm,
		                    y: ym,
		                    z: zm
		                }, {
		                    x: xm,
		                    y: yp,
		                    z: zm
		                }],
		                enabled: frame.left.visible && !frame.front.visible
		            },
		            { // back
		                fill: H.color(frame.left.color).get(),
		                vertexes: [{
		                    x: xmm,
		                    y: ymm,
		                    z: zpp
		                }, {
		                    x: xmm,
		                    y: ypp,
		                    z: zpp
		                }, {
		                    x: xm,
		                    y: yp,
		                    z: zp
		                }, {
		                    x: xm,
		                    y: ym,
		                    z: zp
		                }],
		                enabled: frame.left.visible && !frame.back.visible
		            }]
		        });
		        this.frameShapes.right[verb]({
		            'class': 'highcharts-3d-frame highcharts-3d-frame-right',
		            zIndex: frame.right.frontFacing ? -1000 : 1000,
		            faces: [{ // bottom
		                fill: H.color(frame.right.color).brighten(0.1).get(),
		                vertexes: [{
		                    x: xpp,
		                    y: ypp,
		                    z: zpp
		                }, {
		                    x: xp,
		                    y: yp,
		                    z: zp
		                }, {
		                    x: xp,
		                    y: yp,
		                    z: zm
		                }, {
		                    x: xpp,
		                    y: ypp,
		                    z: zmm
		                }],
		                enabled: frame.right.visible && !frame.bottom.visible
		            },
		            { // top
		                fill: H.color(frame.right.color).brighten(0.1).get(),
		                vertexes: [{
		                    x: xpp,
		                    y: ymm,
		                    z: zmm
		                }, {
		                    x: xp,
		                    y: ym,
		                    z: zm
		                }, {
		                    x: xp,
		                    y: ym,
		                    z: zp
		                }, {
		                    x: xpp,
		                    y: ymm,
		                    z: zpp
		                }],
		                enabled: frame.right.visible && !frame.top.visible
		            },
		            { // left
		                fill: H.color(frame.right.color).brighten(-0.1).get(),
		                vertexes: [{
		                    x: xp,
		                    y: ym,
		                    z: zm
		                }, {
		                    x: xp,
		                    y: yp,
		                    z: zm
		                }, {
		                    x: xp,
		                    y: yp,
		                    z: zp
		                }, {
		                    x: xp,
		                    y: ym,
		                    z: zp
		                }],
		                enabled: frame.right.visible
		            },
		            { // right
		                fill: H.color(frame.right.color).brighten(-0.1).get(),
		                vertexes: [{
		                    x: xpp,
		                    y: ypp,
		                    z: zmm
		                }, {
		                    x: xpp,
		                    y: ymm,
		                    z: zmm
		                }, {
		                    x: xpp,
		                    y: ymm,
		                    z: zpp
		                }, {
		                    x: xpp,
		                    y: ypp,
		                    z: zpp
		                }],
		                enabled: frame.right.visible
		            },
		            { // front
		                fill: H.color(frame.right.color).get(),
		                vertexes: [{
		                    x: xpp,
		                    y: ymm,
		                    z: zmm
		                }, {
		                    x: xpp,
		                    y: ypp,
		                    z: zmm
		                }, {
		                    x: xp,
		                    y: yp,
		                    z: zm
		                }, {
		                    x: xp,
		                    y: ym,
		                    z: zm
		                }],
		                enabled: frame.right.visible && !frame.front.visible
		            },
		            { // back
		                fill: H.color(frame.right.color).get(),
		                vertexes: [{
		                    x: xpp,
		                    y: ypp,
		                    z: zpp
		                }, {
		                    x: xpp,
		                    y: ymm,
		                    z: zpp
		                }, {
		                    x: xp,
		                    y: ym,
		                    z: zp
		                }, {
		                    x: xp,
		                    y: yp,
		                    z: zp
		                }],
		                enabled: frame.right.visible && !frame.back.visible
		            }]
		        });
		        this.frameShapes.back[verb]({
		            'class': 'highcharts-3d-frame highcharts-3d-frame-back',
		            zIndex: frame.back.frontFacing ? -1000 : 1000,
		            faces: [{ // bottom
		                fill: H.color(frame.back.color).brighten(0.1).get(),
		                vertexes: [{
		                    x: xpp,
		                    y: ypp,
		                    z: zpp
		                }, {
		                    x: xmm,
		                    y: ypp,
		                    z: zpp
		                }, {
		                    x: xm,
		                    y: yp,
		                    z: zp
		                }, {
		                    x: xp,
		                    y: yp,
		                    z: zp
		                }],
		                enabled: frame.back.visible && !frame.bottom.visible
		            },
		            { // top
		                fill: H.color(frame.back.color).brighten(0.1).get(),
		                vertexes: [{
		                    x: xmm,
		                    y: ymm,
		                    z: zpp
		                }, {
		                    x: xpp,
		                    y: ymm,
		                    z: zpp
		                }, {
		                    x: xp,
		                    y: ym,
		                    z: zp
		                }, {
		                    x: xm,
		                    y: ym,
		                    z: zp
		                }],
		                enabled: frame.back.visible && !frame.top.visible
		            },
		            { // left
		                fill: H.color(frame.back.color).brighten(-0.1).get(),
		                vertexes: [{
		                    x: xmm,
		                    y: ypp,
		                    z: zpp
		                }, {
		                    x: xmm,
		                    y: ymm,
		                    z: zpp
		                }, {
		                    x: xm,
		                    y: ym,
		                    z: zp
		                }, {
		                    x: xm,
		                    y: yp,
		                    z: zp
		                }],
		                enabled: frame.back.visible && !frame.left.visible
		            },
		            { // right
		                fill: H.color(frame.back.color).brighten(-0.1).get(),
		                vertexes: [{
		                    x: xpp,
		                    y: ymm,
		                    z: zpp
		                }, {
		                    x: xpp,
		                    y: ypp,
		                    z: zpp
		                }, {
		                    x: xp,
		                    y: yp,
		                    z: zp
		                }, {
		                    x: xp,
		                    y: ym,
		                    z: zp
		                }],
		                enabled: frame.back.visible && !frame.right.visible
		            },
		            { // front
		                fill: H.color(frame.back.color).get(),
		                vertexes: [{
		                    x: xm,
		                    y: ym,
		                    z: zp
		                }, {
		                    x: xp,
		                    y: ym,
		                    z: zp
		                }, {
		                    x: xp,
		                    y: yp,
		                    z: zp
		                }, {
		                    x: xm,
		                    y: yp,
		                    z: zp
		                }],
		                enabled: frame.back.visible
		            },
		            { // back
		                fill: H.color(frame.back.color).get(),
		                vertexes: [{
		                    x: xmm,
		                    y: ypp,
		                    z: zpp
		                }, {
		                    x: xpp,
		                    y: ypp,
		                    z: zpp
		                }, {
		                    x: xpp,
		                    y: ymm,
		                    z: zpp
		                }, {
		                    x: xmm,
		                    y: ymm,
		                    z: zpp
		                }],
		                enabled: frame.back.visible
		            }]
		        });
		        this.frameShapes.front[verb]({
		            'class': 'highcharts-3d-frame highcharts-3d-frame-front',
		            zIndex: frame.front.frontFacing ? -1000 : 1000,
		            faces: [{ // bottom
		                fill: H.color(frame.front.color).brighten(0.1).get(),
		                vertexes: [{
		                    x: xmm,
		                    y: ypp,
		                    z: zmm
		                }, {
		                    x: xpp,
		                    y: ypp,
		                    z: zmm
		                }, {
		                    x: xp,
		                    y: yp,
		                    z: zm
		                }, {
		                    x: xm,
		                    y: yp,
		                    z: zm
		                }],
		                enabled: frame.front.visible && !frame.bottom.visible
		            },
		            { // top
		                fill: H.color(frame.front.color).brighten(0.1).get(),
		                vertexes: [{
		                    x: xpp,
		                    y: ymm,
		                    z: zmm
		                }, {
		                    x: xmm,
		                    y: ymm,
		                    z: zmm
		                }, {
		                    x: xm,
		                    y: ym,
		                    z: zm
		                }, {
		                    x: xp,
		                    y: ym,
		                    z: zm
		                }],
		                enabled: frame.front.visible && !frame.top.visible
		            },
		            { // left
		                fill: H.color(frame.front.color).brighten(-0.1).get(),
		                vertexes: [{
		                    x: xmm,
		                    y: ymm,
		                    z: zmm
		                }, {
		                    x: xmm,
		                    y: ypp,
		                    z: zmm
		                }, {
		                    x: xm,
		                    y: yp,
		                    z: zm
		                }, {
		                    x: xm,
		                    y: ym,
		                    z: zm
		                }],
		                enabled: frame.front.visible && !frame.left.visible
		            },
		            { // right
		                fill: H.color(frame.front.color).brighten(-0.1).get(),
		                vertexes: [{
		                    x: xpp,
		                    y: ypp,
		                    z: zmm
		                }, {
		                    x: xpp,
		                    y: ymm,
		                    z: zmm
		                }, {
		                    x: xp,
		                    y: ym,
		                    z: zm
		                }, {
		                    x: xp,
		                    y: yp,
		                    z: zm
		                }],
		                enabled: frame.front.visible && !frame.right.visible
		            },
		            { // front
		                fill: H.color(frame.front.color).get(),
		                vertexes: [{
		                    x: xp,
		                    y: ym,
		                    z: zm
		                }, {
		                    x: xm,
		                    y: ym,
		                    z: zm
		                }, {
		                    x: xm,
		                    y: yp,
		                    z: zm
		                }, {
		                    x: xp,
		                    y: yp,
		                    z: zm
		                }],
		                enabled: frame.front.visible
		            },
		            { // back
		                fill: H.color(frame.front.color).get(),
		                vertexes: [{
		                    x: xpp,
		                    y: ypp,
		                    z: zmm
		                }, {
		                    x: xmm,
		                    y: ypp,
		                    z: zmm
		                }, {
		                    x: xmm,
		                    y: ymm,
		                    z: zmm
		                }, {
		                    x: xpp,
		                    y: ymm,
		                    z: zmm
		                }],
		                enabled: frame.front.visible
		            }]
		        });
		    }
		});

		Chart.prototype.retrieveStacks = function (stacking) {
		    var series = this.series,
		        stacks = {},
		        stackNumber,
		        i = 1;

		    this.series.forEach(function (s) {
		        stackNumber = pick(
		            s.options.stack,
		            (stacking ? 0 : series.length - 1 - s.index)
		        ); // #3841, #4532
		        if (!stacks[stackNumber]) {
		            stacks[stackNumber] = { series: [s], position: i };
		            i++;
		        } else {
		            stacks[stackNumber].series.push(s);
		        }
		    });

		    stacks.totalStacks = i + 1;
		    return stacks;
		};

		Chart.prototype.get3dFrame = function () {
		    var chart = this,
		        options3d = chart.options.chart.options3d,
		        frameOptions = options3d.frame,
		        xm = chart.plotLeft,
		        xp = chart.plotLeft + chart.plotWidth,
		        ym = chart.plotTop,
		        yp = chart.plotTop + chart.plotHeight,
		        zm = 0,
		        zp = options3d.depth,
		        faceOrientation = function (vertexes) {
		            var area = H.shapeArea3d(vertexes, chart);

		            // Give it 0.5 squared-pixel as a margin for rounding errors.
		            if (area > 0.5) {
		                return 1;
		            }
		            if (area < -0.5) {
		                return -1;
		            }
		            return 0;
		        },
		        bottomOrientation = faceOrientation([
		            { x: xm, y: yp, z: zp },
		            { x: xp, y: yp, z: zp },
		            { x: xp, y: yp, z: zm },
		            { x: xm, y: yp, z: zm }
		        ]),
		        topOrientation = faceOrientation([
		            { x: xm, y: ym, z: zm },
		            { x: xp, y: ym, z: zm },
		            { x: xp, y: ym, z: zp },
		            { x: xm, y: ym, z: zp }
		        ]),
		        leftOrientation = faceOrientation([
		            { x: xm, y: ym, z: zm },
		            { x: xm, y: ym, z: zp },
		            { x: xm, y: yp, z: zp },
		            { x: xm, y: yp, z: zm }
		        ]),
		        rightOrientation = faceOrientation([
		            { x: xp, y: ym, z: zp },
		            { x: xp, y: ym, z: zm },
		            { x: xp, y: yp, z: zm },
		            { x: xp, y: yp, z: zp }
		        ]),
		        frontOrientation = faceOrientation([
		            { x: xm, y: yp, z: zm },
		            { x: xp, y: yp, z: zm },
		            { x: xp, y: ym, z: zm },
		            { x: xm, y: ym, z: zm }
		        ]),
		        backOrientation = faceOrientation([
		            { x: xm, y: ym, z: zp },
		            { x: xp, y: ym, z: zp },
		            { x: xp, y: yp, z: zp },
		            { x: xm, y: yp, z: zp }
		        ]),
		        defaultShowBottom = false,
		        defaultShowTop = false,
		        defaultShowLeft = false,
		        defaultShowRight = false,
		        defaultShowFront = false,
		        defaultShowBack = true;

		    // The 'default' criteria to visible faces of the frame is looking up every
		    // axis to decide whenever the left/right//top/bottom sides of the frame
		    // will be shown
		    [].concat(chart.xAxis, chart.yAxis, chart.zAxis).forEach(function (axis) {
		        if (axis) {
		            if (axis.horiz) {
		                if (axis.opposite) {
		                    defaultShowTop = true;
		                } else {
		                    defaultShowBottom = true;
		                }
		            } else {
		                if (axis.opposite) {
		                    defaultShowRight = true;
		                } else {
		                    defaultShowLeft = true;
		                }
		            }
		        }
		    });

		    var getFaceOptions = function (sources, faceOrientation, defaultVisible) {
		        var faceAttrs = ['size', 'color', 'visible'];
		        var options = {};

		        for (var i = 0; i < faceAttrs.length; i++) {
		            var attr = faceAttrs[i];

		            for (var j = 0; j < sources.length; j++) {
		                if (typeof sources[j] === 'object') {
		                    var val = sources[j][attr];

		                    if (val !== undefined && val !== null) {
		                        options[attr] = val;
		                        break;
		                    }
		                }
		            }
		        }
		        var isVisible = defaultVisible;

		        if (options.visible === true || options.visible === false) {
		            isVisible = options.visible;
		        } else if (options.visible === 'auto') {
		            isVisible = faceOrientation > 0;
		        }

		        return {
		            size: pick(options.size, 1),
		            color: pick(options.color, 'none'),
		            frontFacing: faceOrientation > 0,
		            visible: isVisible
		        };
		    };

		    // docs @TODO: Add all frame options (left, right, top, bottom, front, back)
		    // to apioptions JSDoc once the new system is up.
		    var ret = {
		        // FIXME: Previously, left/right, top/bottom and front/back pairs shared
		        // size and color.
		        // For compatibility and consistency sake, when one face have
		        // size/color/visibility set, the opposite face will default to the same
		        // values. Also, left/right used to be called 'side', so that's also
		        // added as a fallback
		        bottom: getFaceOptions(
		            [frameOptions.bottom, frameOptions.top, frameOptions],
		            bottomOrientation,
		            defaultShowBottom
		        ),
		        top: getFaceOptions(
		            [frameOptions.top, frameOptions.bottom, frameOptions],
		            topOrientation,
		            defaultShowTop
		        ),
		        left: getFaceOptions(
		            [
		                frameOptions.left,
		                frameOptions.right,
		                frameOptions.side,
		                frameOptions
		            ],
		            leftOrientation,
		            defaultShowLeft
		        ),
		        right: getFaceOptions(
		            [
		                frameOptions.right,
		                frameOptions.left,
		                frameOptions.side,
		                frameOptions
		            ],
		            rightOrientation,
		            defaultShowRight
		        ),
		        back: getFaceOptions(
		            [frameOptions.back, frameOptions.front, frameOptions],
		            backOrientation,
		            defaultShowBack
		        ),
		        front: getFaceOptions(
		            [frameOptions.front, frameOptions.back, frameOptions],
		            frontOrientation,
		            defaultShowFront
		        )
		    };


		    // Decide the bast place to put axis title/labels based on the visible
		    // faces. Ideally, The labels can only be on the edge between a visible face
		    // and an invisble one. Also, the Y label should be one the left-most edge
		    // (right-most if opposite),
		    if (options3d.axisLabelPosition === 'auto') {
		        var isValidEdge = function (face1, face2) {
		            return (
		                (face1.visible !== face2.visible) ||
		                (
		                    face1.visible &&
		                    face2.visible &&
		                    (face1.frontFacing !== face2.frontFacing)
		                )
		            );
		        };

		        var yEdges = [];

		        if (isValidEdge(ret.left, ret.front)) {
		            yEdges.push({
		                y: (ym + yp) / 2,
		                x: xm,
		                z: zm,
		                xDir: { x: 1, y: 0, z: 0 }
		            });
		        }
		        if (isValidEdge(ret.left, ret.back)) {
		            yEdges.push({
		                y: (ym + yp) / 2,
		                x: xm,
		                z: zp,
		                xDir: { x: 0, y: 0, z: -1 }
		            });
		        }
		        if (isValidEdge(ret.right, ret.front)) {
		            yEdges.push({
		                y: (ym + yp) / 2,
		                x: xp,
		                z: zm,
		                xDir: { x: 0, y: 0, z: 1 }
		            });
		        }
		        if (isValidEdge(ret.right, ret.back)) {
		            yEdges.push({
		                y: (ym + yp) / 2,
		                x: xp,
		                z: zp,
		                xDir: { x: -1, y: 0, z: 0 }
		            });
		        }

		        var xBottomEdges = [];

		        if (isValidEdge(ret.bottom, ret.front)) {
		            xBottomEdges.push({
		                x: (xm + xp) / 2,
		                y: yp,
		                z: zm,
		                xDir: { x: 1, y: 0, z: 0 }
		            });
		        }
		        if (isValidEdge(ret.bottom, ret.back)) {
		            xBottomEdges.push({
		                x: (xm + xp) / 2,
		                y: yp,
		                z: zp,
		                xDir: { x: -1, y: 0, z: 0 }
		            });
		        }

		        var xTopEdges = [];

		        if (isValidEdge(ret.top, ret.front)) {
		            xTopEdges.push({
		                x: (xm + xp) / 2,
		                y: ym,
		                z: zm,
		                xDir: { x: 1, y: 0, z: 0 }
		            });
		        }
		        if (isValidEdge(ret.top, ret.back)) {
		            xTopEdges.push({
		                x: (xm + xp) / 2,
		                y: ym,
		                z: zp,
		                xDir: { x: -1, y: 0, z: 0 }
		            });
		        }

		        var zBottomEdges = [];

		        if (isValidEdge(ret.bottom, ret.left)) {
		            zBottomEdges.push({
		                z: (zm + zp) / 2,
		                y: yp,
		                x: xm,
		                xDir: { x: 0, y: 0, z: -1 }
		            });
		        }
		        if (isValidEdge(ret.bottom, ret.right)) {
		            zBottomEdges.push({
		                z: (zm + zp) / 2,
		                y: yp,
		                x: xp,
		                xDir: { x: 0, y: 0, z: 1 }
		            });
		        }

		        var zTopEdges = [];

		        if (isValidEdge(ret.top, ret.left)) {
		            zTopEdges.push({
		                z: (zm + zp) / 2,
		                y: ym,
		                x: xm,
		                xDir: { x: 0, y: 0, z: -1 }
		            });
		        }
		        if (isValidEdge(ret.top, ret.right)) {
		            zTopEdges.push({
		                z: (zm + zp) / 2,
		                y: ym,
		                x: xp,
		                xDir: { x: 0, y: 0, z: 1 }
		            });
		        }

		        var pickEdge = function (edges, axis, mult) {
		            if (edges.length === 0) {
		                return null;
		            }
		            if (edges.length === 1) {
		                return edges[0];
		            }
		            var best = 0,
		                projections = perspective(edges, chart, false);

		            for (var i = 1; i < projections.length; i++) {
		                if (
		                    mult * projections[i][axis] >
		                    mult * projections[best][axis]
		                ) {
		                    best = i;
		                } else if (
		                    (
		                        mult * projections[i][axis] ===
		                        mult * projections[best][axis]
		                    ) &&
		                    (projections[i].z < projections[best].z)
		                ) {
		                    best = i;
		                }
		            }
		            return edges[best];
		        };

		        ret.axes = {
		            y: {
		                'left': pickEdge(yEdges, 'x', -1),
		                'right': pickEdge(yEdges, 'x', +1)
		            },
		            x: {
		                'top': pickEdge(xTopEdges, 'y', -1),
		                'bottom': pickEdge(xBottomEdges, 'y', +1)
		            },
		            z: {
		                'top': pickEdge(zTopEdges, 'y', -1),
		                'bottom': pickEdge(zBottomEdges, 'y', +1)
		            }
		        };
		    } else {
		        ret.axes = {
		            y: {
		                'left': { x: xm, z: zm, xDir: { x: 1, y: 0, z: 0 } },
		                'right': { x: xp, z: zm, xDir: { x: 0, y: 0, z: 1 } }
		            },
		            x: {
		                'top': { y: ym, z: zm, xDir: { x: 1, y: 0, z: 0 } },
		                'bottom': { y: yp, z: zm, xDir: { x: 1, y: 0, z: 0 } }
		            },
		            z: {
		                'top': {
		                    x: defaultShowLeft ? xp : xm,
		                    y: ym,
		                    xDir: defaultShowLeft ?
		                        { x: 0, y: 0, z: 1 } :
		                        { x: 0, y: 0, z: -1 }
		                },
		                'bottom': {
		                    x: defaultShowLeft ? xp : xm,
		                    y: yp,
		                    xDir: defaultShowLeft ?
		                        { x: 0, y: 0, z: 1 } :
		                        { x: 0, y: 0, z: -1 }
		                }
		            }
		        };
		    }

		    return ret;
		};

		// Animation setter for matrix property.
		H.Fx.prototype.matrixSetter = function () {
		    var interpolated;

		    if (this.pos < 1 &&
		            (H.isArray(this.start) || H.isArray(this.end))) {
		        var start = this.start || [1, 0, 0, 1, 0, 0];
		        var end = this.end || [1, 0, 0, 1, 0, 0];

		        interpolated = [];
		        for (var i = 0; i < 6; i++) {
		            interpolated.push(this.pos * end[i] + (1 - this.pos) * start[i]);
		        }
		    } else {
		        interpolated = this.end;
		    }

		    this.elem.attr(
		        this.prop,
		        interpolated,
		        null,
		        true
		    );
		};

		/**
		 * Note: As of v5.0.12, `frame.left` or `frame.right` should be used instead.
		 *
		 * The side for the frame around a 3D chart.
		 *
		 * @deprecated
		 * @since     4.0
		 * @product   highcharts
		 * @apioption chart.options3d.frame.side
		 */

		/**
		 * The color of the panel.
		 *
		 * @deprecated
		 * @type      {Highcharts.ColorString|Highcharts.GradientColorObject|Highcharts.PatternObject}
		 * @default   transparent
		 * @since     4.0
		 * @product   highcharts
		 * @apioption chart.options3d.frame.side.color
		 */

		/**
		 * The thickness of the panel.
		 *
		 * @deprecated
		 * @type      {number}
		 * @default   1
		 * @since     4.0
		 * @product   highcharts
		 * @apioption chart.options3d.frame.side.size
		 */

	}(Highcharts));
	(function (H) {
		/* *
		 * (c) 2010-2019 Torstein Honsi
		 *
		 * Extenstion for 3d axes
		 *
		 * License: www.highcharts.com/license
		 */



		var ZAxis,
		    addEvent = H.addEvent,
		    Axis = H.Axis,
		    Chart = H.Chart,
		    deg2rad = H.deg2rad,
		    extend = H.extend,
		    merge = H.merge,
		    perspective = H.perspective,
		    perspective3D = H.perspective3D,
		    pick = H.pick,
		    shapeArea = H.shapeArea,
		    splat = H.splat,
		    Tick = H.Tick,
		    wrap = H.wrap;

		/**
		 * @optionparent xAxis
		 */
		var extendedOptions = {
		    labels: {
		        /**
		         * Defines how the labels are be repositioned according to the 3D chart
		         * orientation.
		         *
		         * - `'offset'`: Maintain a fixed horizontal/vertical distance from the
		         *   tick marks, despite the chart orientation. This is the backwards
		         *   compatible behavior, and causes skewing of X and Z axes.
		         *
		         * - `'chart'`: Preserve 3D position relative to the chart.
		         *   This looks nice, but hard to read if the text isn't
		         *   forward-facing.
		         *
		         * - `'flap'`: Rotated text along the axis to compensate for the chart
		         *   orientation. This tries to maintain text as legible as possible
		         *   on all orientations.
		         *
		         * - `'ortho'`: Rotated text along the axis direction so that the labels
		         *   are orthogonal to the axis. This is very similar to `'flap'`,
		         *   but prevents skewing the labels (X and Y scaling are still
		         *   present).
		         *
		         * @sample highcharts/3d/skewed-labels/
		         *         Skewed labels
		         *
		         * @since      5.0.15
		         * @validvalue ['offset', 'chart', 'flap', 'ortho']
		         * @product    highcharts
		         */
		        position3d: 'offset',

		        /**
		         * If enabled, the axis labels will skewed to follow the perspective.
		         *
		         * This will fix overlapping labels and titles, but texts become less
		         * legible due to the distortion.
		         *
		         * The final appearance depends heavily on `labels.position3d`.
		         *
		         * @sample highcharts/3d/skewed-labels/
		         *         Skewed labels
		         *
		         * @since   5.0.15
		         * @product highcharts
		         */
		        skew3d: false
		    },
		    title: {
		        /**
		         * Defines how the title is repositioned according to the 3D chart
		         * orientation.
		         *
		         * - `'offset'`: Maintain a fixed horizontal/vertical distance from the
		         *   tick marks, despite the chart orientation. This is the backwards
		         *   compatible behavior, and causes skewing of X and Z axes.
		         *
		         * - `'chart'`: Preserve 3D position relative to the chart.
		         *   This looks nice, but hard to read if the text isn't
		         *   forward-facing.
		         *
		         * - `'flap'`: Rotated text along the axis to compensate for the chart
		         *   orientation. This tries to maintain text as legible as possible on
		         *   all orientations.
		         *
		         * - `'ortho'`: Rotated text along the axis direction so that the labels
		         *   are orthogonal to the axis. This is very similar to `'flap'`, but
		         *   prevents skewing the labels (X and Y scaling are still present).
		         *
		         * - `undefined`: Will use the config from `labels.position3d`
		         *
		         * @sample highcharts/3d/skewed-labels/
		         *         Skewed labels
		         *
		         * @type       {"offset"|"chart"|"flap"|"ortho"|null}
		         * @since      5.0.15
		         * @product    highcharts
		         */
		        position3d: null,

		        /**
		         * If enabled, the axis title will skewed to follow the perspective.
		         *
		         * This will fix overlapping labels and titles, but texts become less
		         * legible due to the distortion.
		         *
		         * The final appearance depends heavily on `title.position3d`.
		         *
		         * A `null` value will use the config from `labels.skew3d`.
		         *
		         * @sample highcharts/3d/skewed-labels/
		         *         Skewed labels
		         *
		         * @type    {boolean|null}
		         * @since   5.0.15
		         * @product highcharts
		         */
		        skew3d: null
		    }
		};

		merge(true, Axis.prototype.defaultOptions, extendedOptions);


		addEvent(Axis, 'afterSetOptions', function () {
		    var options;

		    if (this.chart.is3d && this.chart.is3d() && this.coll !== 'colorAxis') {
		        options = this.options;
		        options.tickWidth = pick(options.tickWidth, 0);
		        options.gridLineWidth = pick(options.gridLineWidth, 1);
		    }
		});

		wrap(Axis.prototype, 'getPlotLinePath', function (proceed) {
		    var path = proceed.apply(this, [].slice.call(arguments, 1));

		    // Do not do this if the chart is not 3D
		    if (!this.chart.is3d() || this.coll === 'colorAxis') {
		        return path;
		    }

		    if (path === null) {
		        return path;
		    }

		    var chart = this.chart,
		        options3d = chart.options.chart.options3d,
		        d = this.isZAxis ? chart.plotWidth : options3d.depth,
		        frame = chart.frame3d;

		    var pArr = [
		        this.swapZ({ x: path[1], y: path[2], z: 0 }),
		        this.swapZ({ x: path[1], y: path[2], z: d }),
		        this.swapZ({ x: path[4], y: path[5], z: 0 }),
		        this.swapZ({ x: path[4], y: path[5], z: d })
		    ];

		    var pathSegments = [];

		    if (!this.horiz) { // Y-Axis
		        if (frame.front.visible) {
		            pathSegments.push(pArr[0], pArr[2]);
		        }
		        if (frame.back.visible) {
		            pathSegments.push(pArr[1], pArr[3]);
		        }
		        if (frame.left.visible) {
		            pathSegments.push(pArr[0], pArr[1]);
		        }
		        if (frame.right.visible) {
		            pathSegments.push(pArr[2], pArr[3]);
		        }
		    } else if (this.isZAxis) { // Z-Axis
		        if (frame.left.visible) {
		            pathSegments.push(pArr[0], pArr[2]);
		        }
		        if (frame.right.visible) {
		            pathSegments.push(pArr[1], pArr[3]);
		        }
		        if (frame.top.visible) {
		            pathSegments.push(pArr[0], pArr[1]);
		        }
		        if (frame.bottom.visible) {
		            pathSegments.push(pArr[2], pArr[3]);
		        }
		    } else { // X-Axis
		        if (frame.front.visible) {
		            pathSegments.push(pArr[0], pArr[2]);
		        }
		        if (frame.back.visible) {
		            pathSegments.push(pArr[1], pArr[3]);
		        }
		        if (frame.top.visible) {
		            pathSegments.push(pArr[0], pArr[1]);
		        }
		        if (frame.bottom.visible) {
		            pathSegments.push(pArr[2], pArr[3]);
		        }
		    }

		    pathSegments = perspective(pathSegments, this.chart, false);

		    return this.chart.renderer.toLineSegments(pathSegments);
		});

		// Do not draw axislines in 3D
		wrap(Axis.prototype, 'getLinePath', function (proceed) {
		    // Do not do this if the chart is not 3D
		    if (!this.chart.is3d() || this.coll === 'colorAxis') {
		        return proceed.apply(this, [].slice.call(arguments, 1));
		    }

		    return [];
		});

		wrap(Axis.prototype, 'getPlotBandPath', function (proceed) {
		    // Do not do this if the chart is not 3D
		    if (!this.chart.is3d() || this.coll === 'colorAxis') {
		        return proceed.apply(this, [].slice.call(arguments, 1));
		    }

		    var args = arguments,
		        from = args[1],
		        to = args[2],
		        path = [],
		        fromPath = this.getPlotLinePath(from),
		        toPath = this.getPlotLinePath(to);

		    if (fromPath && toPath) {
		        for (var i = 0; i < fromPath.length; i += 6) {
		            path.push(
		                'M', fromPath[i + 1], fromPath[i + 2],
		                'L', fromPath[i + 4], fromPath[i + 5],
		                'L', toPath[i + 4], toPath[i + 5],
		                'L', toPath[i + 1], toPath[i + 2],
		                'Z'
		            );
		        }
		    }

		    return path;
		});


		function fix3dPosition(axis, pos, isTitle) {
		    // Do not do this if the chart is not 3D
		    if (!axis.chart.is3d() || axis.coll === 'colorAxis') {
		        return pos;
		    }

		    var chart = axis.chart,
		        alpha = deg2rad * chart.options.chart.options3d.alpha,
		        beta = deg2rad * chart.options.chart.options3d.beta,
		        positionMode = pick(
		            isTitle && axis.options.title.position3d,
		            axis.options.labels.position3d
		        ),
		        skew = pick(
		            isTitle && axis.options.title.skew3d,
		            axis.options.labels.skew3d
		        ),
		        frame = chart.frame3d,
		        plotLeft = chart.plotLeft,
		        plotRight = chart.plotWidth + plotLeft,
		        plotTop = chart.plotTop,
		        plotBottom = chart.plotHeight + plotTop,
		        // Indicates we are labelling an X or Z axis on the "back" of the chart
		        reverseFlap = false,
		        offsetX = 0,
		        offsetY = 0,
		        vecX,
		        vecY = { x: 0, y: 1, z: 0 };

		    pos = axis.swapZ({ x: pos.x, y: pos.y, z: 0 });


		    if (axis.isZAxis) { // Z Axis
		        if (axis.opposite) {
		            if (frame.axes.z.top === null) {
		                return {};
		            }
		            offsetY = pos.y - plotTop;
		            pos.x = frame.axes.z.top.x;
		            pos.y = frame.axes.z.top.y;
		            vecX = frame.axes.z.top.xDir;
		            reverseFlap = !frame.top.frontFacing;
		        } else {
		            if (frame.axes.z.bottom === null) {
		                return {};
		            }
		            offsetY = pos.y - plotBottom;
		            pos.x = frame.axes.z.bottom.x;
		            pos.y = frame.axes.z.bottom.y;
		            vecX = frame.axes.z.bottom.xDir;
		            reverseFlap = !frame.bottom.frontFacing;
		        }
		    } else if (axis.horiz) { // X Axis
		        if (axis.opposite) {
		            if (frame.axes.x.top === null) {
		                return {};
		            }
		            offsetY = pos.y - plotTop;
		            pos.y = frame.axes.x.top.y;
		            pos.z = frame.axes.x.top.z;
		            vecX = frame.axes.x.top.xDir;
		            reverseFlap = !frame.top.frontFacing;
		        } else {
		            if (frame.axes.x.bottom === null) {
		                return {};
		            }
		            offsetY = pos.y - plotBottom;
		            pos.y = frame.axes.x.bottom.y;
		            pos.z = frame.axes.x.bottom.z;
		            vecX = frame.axes.x.bottom.xDir;
		            reverseFlap = !frame.bottom.frontFacing;
		        }
		    } else { // Y Axis
		        if (axis.opposite) {
		            if (frame.axes.y.right === null) {
		                return {};
		            }
		            offsetX = pos.x - plotRight;
		            pos.x = frame.axes.y.right.x;
		            pos.z = frame.axes.y.right.z;
		            vecX = frame.axes.y.right.xDir;
		            // Rotate 90º on opposite edge
		            vecX = { x: vecX.z, y: vecX.y, z: -vecX.x };
		        } else {
		            if (frame.axes.y.left === null) {
		                return {};
		            }
		            offsetX = pos.x - plotLeft;
		            pos.x = frame.axes.y.left.x;
		            pos.z = frame.axes.y.left.z;
		            vecX = frame.axes.y.left.xDir;
		        }
		    }

		    if (positionMode === 'chart') {
		        // Labels preserve their direction relative to the chart
		        // nothing to do

		    } else if (positionMode === 'flap') {
		        // Labels are be rotated around the axis direction to face the screen
		        if (!axis.horiz) { // Y Axis
		            vecX = { x: Math.cos(beta), y: 0, z: Math.sin(beta) };
		        } else { // X and Z Axis
		            var sin = Math.sin(alpha);
		            var cos = Math.cos(alpha);

		            if (axis.opposite) {
		                sin = -sin;
		            }
		            if (reverseFlap) {
		                sin = -sin;
		            }
		            vecY = { x: vecX.z * sin, y: cos, z: -vecX.x * sin };
		        }
		    } else if (positionMode === 'ortho') {
		        // Labels will be rotated to be ortogonal to the axis
		        if (!axis.horiz) { // Y Axis
		            vecX = { x: Math.cos(beta), y: 0, z: Math.sin(beta) };
		        } else { // X and Z Axis
		            var sina = Math.sin(alpha);
		            var cosa = Math.cos(alpha);
		            var sinb = Math.sin(beta);
		            var cosb = Math.cos(beta);
		            var vecZ = { x: sinb * cosa, y: -sina, z: -cosa * cosb };

		            vecY = {
		                x: vecX.y * vecZ.z - vecX.z * vecZ.y,
		                y: vecX.z * vecZ.x - vecX.x * vecZ.z,
		                z: vecX.x * vecZ.y - vecX.y * vecZ.x
		            };
		            var scale = 1 / Math.sqrt(
		                vecY.x * vecY.x + vecY.y * vecY.y + vecY.z * vecY.z
		            );

		            if (reverseFlap) {
		                scale = -scale;
		            }
		            vecY = { x: scale * vecY.x, y: scale * vecY.y, z: scale * vecY.z };
		        }
		    } else { // positionMode  == 'offset'
		        // Labels will be skewd to maintain vertical / horizontal offsets from
		        // axis
		        if (!axis.horiz) { // Y Axis
		            vecX = { x: Math.cos(beta), y: 0, z: Math.sin(beta) };
		        } else { // X and Z Axis
		            vecY = {
		                x: Math.sin(beta) * Math.sin(alpha),
		                y: Math.cos(alpha),
		                z: -Math.cos(beta) * Math.sin(alpha)
		            };
		        }
		    }
		    pos.x += offsetX * vecX.x + offsetY * vecY.x;
		    pos.y += offsetX * vecX.y + offsetY * vecY.y;
		    pos.z += offsetX * vecX.z + offsetY * vecY.z;

		    var projected = perspective([pos], axis.chart)[0];

		    if (skew) {
		        // Check if the label text would be mirrored
		        var isMirrored = shapeArea(perspective([
		            pos,
		            { x: pos.x + vecX.x, y: pos.y + vecX.y, z: pos.z + vecX.z },
		            { x: pos.x + vecY.x, y: pos.y + vecY.y, z: pos.z + vecY.z }
		        ], axis.chart)) < 0;

		        if (isMirrored) {
		            vecX = { x: -vecX.x, y: -vecX.y, z: -vecX.z };
		        }

		        var pointsProjected = perspective([
		            { x: pos.x, y: pos.y, z: pos.z },
		            { x: pos.x + vecX.x, y: pos.y + vecX.y, z: pos.z + vecX.z },
		            { x: pos.x + vecY.x, y: pos.y + vecY.y, z: pos.z + vecY.z }
		        ], axis.chart);

		        projected.matrix = [
		            pointsProjected[1].x - pointsProjected[0].x,
		            pointsProjected[1].y - pointsProjected[0].y,
		            pointsProjected[2].x - pointsProjected[0].x,
		            pointsProjected[2].y - pointsProjected[0].y,
		            projected.x,
		            projected.y
		        ];
		        projected.matrix[4] -= projected.x * projected.matrix[0] +
		            projected.y * projected.matrix[2];
		        projected.matrix[5] -= projected.x * projected.matrix[1] +
		            projected.y * projected.matrix[3];
		    }

		    return projected;
		}

		/*
		Tick extensions
		 */

		wrap(Tick.prototype, 'getMarkPath', function (proceed) {
		    var path = proceed.apply(this, [].slice.call(arguments, 1));

		    var pArr = [
		        fix3dPosition(this.axis, { x: path[1], y: path[2], z: 0 }),
		        fix3dPosition(this.axis, { x: path[4], y: path[5], z: 0 })
		    ];

		    return this.axis.chart.renderer.toLineSegments(pArr);
		});

		addEvent(Tick, 'afterGetLabelPosition', function (e) {
		    extend(e.pos, fix3dPosition(this.axis, e.pos));
		});

		wrap(Axis.prototype, 'getTitlePosition', function (proceed) {
		    var pos = proceed.apply(this, [].slice.call(arguments, 1));

		    return fix3dPosition(this, pos, true);
		});

		addEvent(Axis, 'drawCrosshair', function (e) {
		    if (this.chart.is3d() && this.coll !== 'colorAxis') {
		        if (e.point) {
		            e.point.crosshairPos = this.isXAxis ?
		                e.point.axisXpos :
		                this.len - (e.point.axisYpos);
		        }
		    }
		});

		addEvent(Axis, 'destroy', function () {
		    ['backFrame', 'bottomFrame', 'sideFrame'].forEach(function (prop) {
		        if (this[prop]) {
		            this[prop] = this[prop].destroy();
		        }
		    }, this);
		});

		/*
		Z-AXIS
		 */

		Axis.prototype.swapZ = function (p, insidePlotArea) {
		    if (this.isZAxis) {
		        var plotLeft = insidePlotArea ? 0 : this.chart.plotLeft;

		        return {
		            x: plotLeft + p.z,
		            y: p.y,
		            z: p.x - plotLeft
		        };
		    }
		    return p;
		};

		ZAxis = H.ZAxis = function () {
		    this.init.apply(this, arguments);
		};
		extend(ZAxis.prototype, Axis.prototype);
		extend(ZAxis.prototype, {
		    isZAxis: true,
		    setOptions: function (userOptions) {
		        userOptions = merge({
		            offset: 0,
		            lineWidth: 0
		        }, userOptions);
		        Axis.prototype.setOptions.call(this, userOptions);
		        this.coll = 'zAxis';
		    },
		    setAxisSize: function () {
		        Axis.prototype.setAxisSize.call(this);
		        this.width = this.len = this.chart.options.chart.options3d.depth;
		        this.right = this.chart.chartWidth - this.width - this.left;
		    },
		    getSeriesExtremes: function () {
		        var axis = this,
		            chart = axis.chart;

		        axis.hasVisibleSeries = false;

		        // Reset properties in case we're redrawing (#3353)
		        axis.dataMin =
		            axis.dataMax =
		            axis.ignoreMinPadding =
		            axis.ignoreMaxPadding = null;

		        if (axis.buildStacks) {
		            axis.buildStacks();
		        }

		        // loop through this axis' series
		        axis.series.forEach(function (series) {

		            if (series.visible || !chart.options.chart.ignoreHiddenSeries) {

		                var seriesOptions = series.options,
		                    zData,
		                    threshold = seriesOptions.threshold;

		                axis.hasVisibleSeries = true;

		                // Validate threshold in logarithmic axes
		                if (axis.positiveValuesOnly && threshold <= 0) {
		                    threshold = null;
		                }

		                zData = series.zData;
		                if (zData.length) {
		                    axis.dataMin = Math.min(
		                        pick(axis.dataMin, zData[0]),
		                        Math.min.apply(null, zData)
		                    );
		                    axis.dataMax = Math.max(
		                        pick(axis.dataMax, zData[0]),
		                        Math.max.apply(null, zData)
		                    );
		                }
		            }
		        });
		    }
		});


		// Get the Z axis in addition to the default X and Y.
		addEvent(Chart, 'afterGetAxes', function () {
		    var chart = this,
		        options = this.options,
		        zAxisOptions = options.zAxis = splat(options.zAxis || {});

		    if (!chart.is3d()) {
		        return;
		    }
		    this.zAxis = [];
		    zAxisOptions.forEach(function (axisOptions, i) {
		        axisOptions.index = i;
		        // Z-Axis is shown horizontally, so it's kind of a X-Axis
		        axisOptions.isX = true;
		        var zAxis = new ZAxis(chart, axisOptions);

		        zAxis.setScale();
		    });
		});

		// Wrap getSlotWidth function to calculate individual width value for each slot
		// (#8042).
		wrap(Axis.prototype, 'getSlotWidth', function (proceed, tick) {
		    if (this.chart.is3d() &&
		        tick &&
		        tick.label &&
		        this.categories &&
		        this.chart.frameShapes
		    ) {
		        var chart = this.chart,
		            ticks = this.ticks,
		            gridGroup = this.gridGroup.element.childNodes,
		            firstGridLine = gridGroup[0].getBBox(),
		            frame3DLeft = chart.frameShapes.left.getBBox(),
		            options3d = chart.options.chart.options3d,
		            origin = {
		                x: chart.plotWidth / 2,
		                y: chart.plotHeight / 2,
		                z: options3d.depth / 2,
		                vd: pick(options3d.depth, 1) * pick(options3d.viewDistance, 0)
		            },
		            labelPos,
		            prevLabelPos,
		            nextLabelPos,
		            slotWidth,
		            tickId = tick.pos,
		            prevTick = ticks[tickId - 1],
		            nextTick = ticks[tickId + 1];

		        // Check whether the tick is not the first one and previous tick exists,
		        // then calculate position of previous label.
		        if (tickId !== 0 && prevTick && prevTick.label.xy) { // #8621
		            prevLabelPos = perspective3D({
		                x: prevTick.label.xy.x,
		                y: prevTick.label.xy.y,
		                z: null
		            }, origin, origin.vd);
		        }
		        // If next label position is defined, then recalculate its position
		        // basing on the perspective.
		        if (nextTick && nextTick.label.xy) {
		            nextLabelPos = perspective3D({
		                x: nextTick.label.xy.x,
		                y: nextTick.label.xy.y,
		                z: null
		            }, origin, origin.vd);
		        }
		        labelPos = {
		            x: tick.label.xy.x,
		            y: tick.label.xy.y,
		            z: null
		        };

		        labelPos = perspective3D(labelPos, origin, origin.vd);

		        // If tick is first one, check whether next label position is already
		        // calculated, then return difference between the first and the second
		        // label. If there is no next label position calculated, return the
		        // difference between the first grid line and left 3d frame.
		        slotWidth = Math.abs(
		            prevLabelPos ?
		                labelPos.x - prevLabelPos.x : nextLabelPos ?
		                    nextLabelPos.x - labelPos.x :
		                    firstGridLine.x - frame3DLeft.x
		        );
		        return slotWidth;
		    }
		    return proceed.apply(this, [].slice.call(arguments, 1));
		});

	}(Highcharts));
	(function (H) {
		/* *
		 * (c) 2010-2019 Torstein Honsi
		 *
		 * Extension to the Series object in 3D charts.
		 *
		 * License: www.highcharts.com/license
		 */



		var addEvent = H.addEvent,
		    perspective = H.perspective,
		    pick = H.pick;

		// Wrap the translate method to post-translate points into 3D perspective
		addEvent(H.Series, 'afterTranslate', function () {
		    if (this.chart.is3d()) {
		        this.translate3dPoints();
		    }
		});

		// Translate the plotX, plotY properties and add plotZ.
		H.Series.prototype.translate3dPoints = function () {
		    var series = this,
		        chart = series.chart,
		        zAxis = pick(series.zAxis, chart.options.zAxis[0]),
		        rawPoints = [],
		        rawPoint,
		        projectedPoints,
		        projectedPoint,
		        zValue,
		        i;

		    for (i = 0; i < series.data.length; i++) {
		        rawPoint = series.data[i];

		        if (zAxis && zAxis.translate) {
		            zValue = zAxis.isLog && zAxis.val2lin ?
		                zAxis.val2lin(rawPoint.z) :
		                rawPoint.z; // #4562
		            rawPoint.plotZ = zAxis.translate(zValue);
		            rawPoint.isInside = rawPoint.isInside ?
		                (zValue >= zAxis.min && zValue <= zAxis.max) :
		                false;
		        } else {
		            rawPoint.plotZ = 0;
		        }

		        rawPoint.axisXpos = rawPoint.plotX;
		        rawPoint.axisYpos = rawPoint.plotY;
		        rawPoint.axisZpos = rawPoint.plotZ;

		        rawPoints.push({
		            x: rawPoint.plotX,
		            y: rawPoint.plotY,
		            z: rawPoint.plotZ
		        });
		    }

		    projectedPoints = perspective(rawPoints, chart, true);

		    for (i = 0; i < series.data.length; i++) {
		        rawPoint = series.data[i];
		        projectedPoint = projectedPoints[i];

		        rawPoint.plotX = projectedPoint.x;
		        rawPoint.plotY = projectedPoint.y;
		        rawPoint.plotZ = projectedPoint.z;
		    }
		};

	}(Highcharts));
	(function (H) {
		/* *
		 * (c) 2010-2019 Torstein Honsi
		 *
		 * License: www.highcharts.com/license
		 */



		var addEvent = H.addEvent,
		    perspective = H.perspective,
		    pick = H.pick,
		    Series = H.Series,
		    seriesTypes = H.seriesTypes,
		    svg = H.svg,
		    wrap = H.wrap;

		/**
		 * Depth of the columns in a 3D column chart. Requires `highcharts-3d.js`.
		 *
		 * @type      {number}
		 * @default   25
		 * @since     4.0
		 * @product   highcharts
		 * @apioption plotOptions.column.depth
		 */

		/**
		 * 3D columns only. The color of the edges. Similar to `borderColor`,
		 *  except it defaults to the same color as the column.
		 *
		 * @type      {Highcharts.ColorString}
		 * @product   highcharts
		 * @apioption plotOptions.column.edgeColor
		 */

		/**
		 * 3D columns only. The width of the colored edges.
		 *
		 * @type      {number}
		 * @default   1
		 * @product   highcharts
		 * @apioption plotOptions.column.edgeWidth
		 */

		/**
		 * The spacing between columns on the Z Axis in a 3D chart. Requires
		 * `highcharts-3d.js`.
		 *
		 * @type      {number}
		 * @default   1
		 * @since     4.0
		 * @product   highcharts
		 * @apioption plotOptions.column.groupZPadding
		 */

		wrap(seriesTypes.column.prototype, 'translate', function (proceed) {
		    proceed.apply(this, [].slice.call(arguments, 1));

		    // Do not do this if the chart is not 3D
		    if (this.chart.is3d()) {
		        this.translate3dShapes();
		    }
		});

		// In 3D we need to pass point.outsidePlot option to the justifyDataLabel
		// method for disabling justifying dataLabels in columns outside plot
		wrap(H.Series.prototype, 'alignDataLabel', function (proceed) {
		    arguments[3].outside3dPlot = arguments[1].outside3dPlot;
		    proceed.apply(this, [].slice.call(arguments, 1));
		});

		// Don't use justifyDataLabel when point is outsidePlot
		wrap(H.Series.prototype, 'justifyDataLabel', function (proceed) {
		    return !(arguments[2].outside3dPlot) ?
		        proceed.apply(this, [].slice.call(arguments, 1)) :
		        false;
		});

		seriesTypes.column.prototype.translate3dPoints = function () {};
		seriesTypes.column.prototype.translate3dShapes = function () {

		    var series = this,
		        chart = series.chart,
		        seriesOptions = series.options,
		        depth = seriesOptions.depth || 25,
		        stack = seriesOptions.stacking ?
		            (seriesOptions.stack || 0) :
		            series.index, // #4743
		        z = stack * (depth + (seriesOptions.groupZPadding || 1)),
		        borderCrisp = series.borderWidth % 2 ? 0.5 : 0;

		    if (chart.inverted && !series.yAxis.reversed) {
		        borderCrisp *= -1;
		    }

		    if (seriesOptions.grouping !== false) {
		        z = 0;
		    }

		    z += (seriesOptions.groupZPadding || 1);
		    series.data.forEach(function (point) {
		        // #7103 Reset outside3dPlot flag
		        point.outside3dPlot = null;
		        if (point.y !== null) {
		            var shapeArgs = point.shapeArgs,
		                tooltipPos = point.tooltipPos,
		                // Array for final shapeArgs calculation.
		                // We are checking two dimensions (x and y).
		                dimensions = [['x', 'width'], ['y', 'height']],
		                borderlessBase; // Crisped rects can have +/- 0.5 pixels offset.

		            // #3131 We need to check if column is inside plotArea.
		            dimensions.forEach(function (d) {
		                borderlessBase = shapeArgs[d[0]] - borderCrisp;
		                if (borderlessBase < 0) {
		                    // If borderLessBase is smaller than 0, it is needed to set
		                    // its value to 0 or 0.5 depending on borderWidth
		                    // borderWidth may be even or odd.
		                    shapeArgs[d[1]] += shapeArgs[d[0]] + borderCrisp;
		                    shapeArgs[d[0]] = -borderCrisp;
		                    borderlessBase = 0;
		                }
		                if (
		                    (
		                        borderlessBase + shapeArgs[d[1]] >
		                        series[d[0] + 'Axis'].len
		                    ) &&
		                    // Do not change height/width of column if 0 (#6708)
		                    shapeArgs[d[1]] !== 0
		                ) {
		                    shapeArgs[d[1]] =
		                        series[d[0] + 'Axis'].len - shapeArgs[d[0]];
		                }
		                if (
		                    // Do not remove columns with zero height/width.
		                    (shapeArgs[d[1]] !== 0) &&
		                    (
		                        shapeArgs[d[0]] >= series[d[0] + 'Axis'].len ||
		                        shapeArgs[d[0]] + shapeArgs[d[1]] <= borderCrisp
		                    )
		                ) {
		                    // Set args to 0 if column is outside the chart.
		                    for (var key in shapeArgs) {
		                        shapeArgs[key] = 0;
		                    }
		                    // #7103 outside3dPlot flag is set on Points which are
		                    // currently outside of plot.
		                    point.outside3dPlot = true;
		                }
		            });

		            // Change from 2d to 3d
		            if (point.shapeType === 'rect') {
		                point.shapeType = 'cuboid';
		            }

		            shapeArgs.z = z;
		            shapeArgs.depth = depth;
		            shapeArgs.insidePlotArea = true;

		            // Translate the tooltip position in 3d space
		            tooltipPos = perspective(
		                [{ x: tooltipPos[0], y: tooltipPos[1], z: z }],
		                chart,
		                true
		            )[0];
		            point.tooltipPos = [tooltipPos.x, tooltipPos.y];
		        }
		    });
		    // store for later use #4067
		    series.z = z;
		};

		wrap(seriesTypes.column.prototype, 'animate', function (proceed) {
		    if (!this.chart.is3d()) {
		        proceed.apply(this, [].slice.call(arguments, 1));
		    } else {
		        var args = arguments,
		            init = args[1],
		            yAxis = this.yAxis,
		            series = this,
		            reversed = this.yAxis.reversed;

		        if (svg) { // VML is too slow anyway
		            if (init) {
		                series.data.forEach(function (point) {
		                    if (point.y !== null) {
		                        point.height = point.shapeArgs.height;
		                        point.shapey = point.shapeArgs.y; // #2968
		                        point.shapeArgs.height = 1;
		                        if (!reversed) {
		                            if (point.stackY) {
		                                point.shapeArgs.y =
		                                    point.plotY + yAxis.translate(point.stackY);
		                            } else {
		                                point.shapeArgs.y =
		                                    point.plotY +
		                                    (
		                                        point.negative ?
		                                            -point.height :
		                                            point.height
		                                    );
		                            }
		                        }
		                    }
		                });

		            } else { // run the animation
		                series.data.forEach(function (point) {
		                    if (point.y !== null) {
		                        point.shapeArgs.height = point.height;
		                        point.shapeArgs.y = point.shapey; // #2968
		                        // null value do not have a graphic
		                        if (point.graphic) {
		                            point.graphic.animate(
		                                point.shapeArgs,
		                                series.options.animation
		                            );
		                        }
		                    }
		                });

		                // redraw datalabels to the correct position
		                this.drawDataLabels();

		                // delete this function to allow it only once
		                series.animate = null;
		            }
		        }
		    }
		});

		// In case of 3d columns there is no sense to add this columns to a specific
		// series group - if series is added to a group all columns will have the same
		// zIndex in comparison with different series.
		wrap(
		    seriesTypes.column.prototype,
		    'plotGroup',
		    function (proceed, prop, name, visibility, zIndex, parent) {
		        if (this.chart.is3d() && parent && !this[prop]) {
		            if (!this.chart.columnGroup) {
		                this.chart.columnGroup =
		                    this.chart.renderer.g('columnGroup').add(parent);
		            }
		            this[prop] = this.chart.columnGroup;
		            this.chart.columnGroup.attr(this.getPlotBox());
		            this[prop].survive = true;
		        }
		        return proceed.apply(this, Array.prototype.slice.call(arguments, 1));
		    }
		);

		// When series is not added to group it is needed to change setVisible method to
		// allow correct Legend funcionality. This wrap is basing on pie chart series.
		wrap(
		    seriesTypes.column.prototype,
		    'setVisible',
		    function (proceed, vis) {
		        var series = this,
		            pointVis;

		        if (series.chart.is3d()) {
		            series.data.forEach(function (point) {
		                point.visible = point.options.visible = vis =
		                    vis === undefined ? !point.visible : vis;
		                pointVis = vis ? 'visible' : 'hidden';
		                series.options.data[series.data.indexOf(point)] =
		                    point.options;
		                if (point.graphic) {
		                    point.graphic.attr({
		                        visibility: pointVis
		                    });
		                }
		            });
		        }
		        proceed.apply(this, Array.prototype.slice.call(arguments, 1));
		    }
		);

		seriesTypes.column.prototype.handle3dGrouping = true;
		addEvent(Series, 'afterInit', function () {
		    if (this.chart.is3d() && this.handle3dGrouping) {
		        var seriesOptions = this.options,
		            grouping = seriesOptions.grouping,
		            stacking = seriesOptions.stacking,
		            reversedStacks = pick(this.yAxis.options.reversedStacks, true),
		            z = 0;

		        if (!(grouping !== undefined && !grouping)) {
		            var stacks = this.chart.retrieveStacks(stacking),
		                stack = seriesOptions.stack || 0,
		                i; // position within the stack

		            for (i = 0; i < stacks[stack].series.length; i++) {
		                if (stacks[stack].series[i] === this) {
		                    break;
		                }
		            }
		            z = (10 * (stacks.totalStacks - stacks[stack].position)) +
		                (reversedStacks ? i : -i); // #4369

		            // In case when axis is reversed, columns are also reversed inside
		            // the group (#3737)
		            if (!this.xAxis.reversed) {
		                z = (stacks.totalStacks * 10) - z;
		            }
		        }

		        seriesOptions.zIndex = z;
		    }
		});

		function pointAttribs(proceed) {
		    var attr = proceed.apply(this, [].slice.call(arguments, 1));

		    if (this.chart.is3d && this.chart.is3d()) {
		        // Set the fill color to the fill color to provide a smooth edge
		        attr.stroke = this.options.edgeColor || attr.fill;
		        attr['stroke-width'] = pick(this.options.edgeWidth, 1); // #4055
		    }

		    return attr;
		}

		wrap(seriesTypes.column.prototype, 'pointAttribs', pointAttribs);
		if (seriesTypes.columnrange) {
		    wrap(seriesTypes.columnrange.prototype, 'pointAttribs', pointAttribs);
		    seriesTypes.columnrange.prototype.plotGroup =
		        seriesTypes.column.prototype.plotGroup;
		    seriesTypes.columnrange.prototype.setVisible =
		        seriesTypes.column.prototype.setVisible;
		}

		wrap(Series.prototype, 'alignDataLabel', function (proceed) {

		    // Only do this for 3D columns and it's derived series
		    if (
		        this.chart.is3d() &&
		        this instanceof seriesTypes.column
		    ) {
		        var series = this,
		            chart = series.chart;

		        var args = arguments,
		            alignTo = args[4],
		            point = args[1];

		        var pos = ({ x: alignTo.x, y: alignTo.y, z: series.z });

		        pos = perspective([pos], chart, true)[0];
		        alignTo.x = pos.x;
		        // #7103 If point is outside of plotArea, hide data label.
		        alignTo.y = point.outside3dPlot ? -9e9 : pos.y;
		    }

		    proceed.apply(this, [].slice.call(arguments, 1));
		});

		// Added stackLabels position calculation for 3D charts.
		wrap(H.StackItem.prototype, 'getStackBox', function (proceed, chart) { // #3946
		    var stackBox = proceed.apply(this, [].slice.call(arguments, 1));

		    // Only do this for 3D chart.
		    if (chart.is3d()) {
		        var pos = ({
		            x: stackBox.x,
		            y: stackBox.y,
		            z: 0
		        });

		        pos = H.perspective([pos], chart, true)[0];
		        stackBox.x = pos.x;
		        stackBox.y = pos.y;
		    }

		    return stackBox;
		});

		/*
		    @merge v6.2
		    @todo
		    EXTENSION FOR 3D CYLINDRICAL COLUMNS
		    Not supported
		*/
		/*
		var defaultOptions = H.getOptions();
		defaultOptions.plotOptions.cylinder =
		    H.merge(defaultOptions.plotOptions.column);
		var CylinderSeries = H.extendClass(seriesTypes.column, {
		    type: 'cylinder'
		});
		seriesTypes.cylinder = CylinderSeries;

		wrap(seriesTypes.cylinder.prototype, 'translate', function (proceed) {
		    proceed.apply(this, [].slice.call(arguments, 1));

		    // Do not do this if the chart is not 3D
		    if (!this.chart.is3d()) {
		        return;
		    }

		    var series = this,
		        chart = series.chart,
		        options = chart.options,
		        cylOptions = options.plotOptions.cylinder,
		        options3d = options.chart.options3d,
		        depth = cylOptions.depth || 0,
		        alpha = chart.alpha3d;

		    var z = cylOptions.stacking ?
		        (this.options.stack || 0) * depth :
		        series._i * depth;
		    z += depth / 2;

		    if (cylOptions.grouping !== false) { z = 0; }

		    each(series.data, function (point) {
		        var shapeArgs = point.shapeArgs,
		            deg2rad = H.deg2rad;
		        point.shapeType = 'arc3d';
		        shapeArgs.x += depth / 2;
		        shapeArgs.z = z;
		        shapeArgs.start = 0;
		        shapeArgs.end = 2 * PI;
		        shapeArgs.r = depth * 0.95;
		        shapeArgs.innerR = 0;
		        shapeArgs.depth =
		            shapeArgs.height * (1 / sin((90 - alpha) * deg2rad)) - z;
		        shapeArgs.alpha = 90 - alpha;
		        shapeArgs.beta = 0;
		    });
		});
		*/

	}(Highcharts));
	(function (H) {
		/* *
		 * (c) 2010-2019 Torstein Honsi
		 *
		 * 3D pie series
		 *
		 * License: www.highcharts.com/license
		 */



		var deg2rad = H.deg2rad,
		    pick = H.pick,
		    seriesTypes = H.seriesTypes,
		    svg = H.svg,
		    wrap = H.wrap;

		/**
		 * The thickness of a 3D pie. Requires `highcharts-3d.js`
		 *
		 * @type      {number}
		 * @default   0
		 * @since     4.0
		 * @product   highcharts
		 * @apioption plotOptions.pie.depth
		 */

		wrap(seriesTypes.pie.prototype, 'translate', function (proceed) {
		    proceed.apply(this, [].slice.call(arguments, 1));

		    // Do not do this if the chart is not 3D
		    if (!this.chart.is3d()) {
		        return;
		    }

		    var series = this,
		        seriesOptions = series.options,
		        depth = seriesOptions.depth || 0,
		        options3d = series.chart.options.chart.options3d,
		        alpha = options3d.alpha,
		        beta = options3d.beta,
		        z = seriesOptions.stacking ?
		            (seriesOptions.stack || 0) * depth :
		            series._i * depth;

		    z += depth / 2;

		    if (seriesOptions.grouping !== false) {
		        z = 0;
		    }

		    series.data.forEach(function (point) {

		        var shapeArgs = point.shapeArgs,
		            angle;

		        point.shapeType = 'arc3d';

		        shapeArgs.z = z;
		        shapeArgs.depth = depth * 0.75;
		        shapeArgs.alpha = alpha;
		        shapeArgs.beta = beta;
		        shapeArgs.center = series.center;

		        angle = (shapeArgs.end + shapeArgs.start) / 2;

		        point.slicedTranslation = {
		            translateX: Math.round(
		                Math.cos(angle) *
		                seriesOptions.slicedOffset *
		                Math.cos(alpha * deg2rad)
		            ),
		            translateY: Math.round(
		                Math.sin(angle) *
		                seriesOptions.slicedOffset *
		                Math.cos(alpha * deg2rad)
		            )
		        };
		    });
		});

		wrap(
		    seriesTypes.pie.prototype.pointClass.prototype,
		    'haloPath',
		    function (proceed) {
		        var args = arguments;

		        return this.series.chart.is3d() ? [] : proceed.call(this, args[1]);
		    }
		);

		wrap(
		    seriesTypes.pie.prototype,
		    'pointAttribs',
		    function (proceed, point, state) {
		        var attr = proceed.call(this, point, state),
		            options = this.options;

		        if (this.chart.is3d() && !this.chart.styledMode) {
		            attr.stroke = options.edgeColor || point.color || this.color;
		            attr['stroke-width'] = pick(options.edgeWidth, 1);
		        }

		        return attr;
		    }
		);

		wrap(seriesTypes.pie.prototype, 'drawDataLabels', function (proceed) {
		    if (this.chart.is3d()) {
		        var series = this,
		            chart = series.chart,
		            options3d = chart.options.chart.options3d;

		        series.data.forEach(function (point) {
		            var shapeArgs = point.shapeArgs,
		                r = shapeArgs.r,
		                // #3240 issue with datalabels for 0 and null values
		                a1 = (shapeArgs.alpha || options3d.alpha) * deg2rad,
		                b1 = (shapeArgs.beta || options3d.beta) * deg2rad,
		                a2 = (shapeArgs.start + shapeArgs.end) / 2,
		                labelPosition = point.labelPosition,
		                connectorPosition = labelPosition.connectorPosition,
		                yOffset = (-r * (1 - Math.cos(a1)) * Math.sin(a2)),
		                xOffset = r * (Math.cos(b1) - 1) * Math.cos(a2);

		            // Apply perspective on label positions
		            [
		                labelPosition.natural,
		                connectorPosition.breakAt,
		                connectorPosition.touchingSliceAt
		            ].forEach(function (coordinates) {
		                coordinates.x += xOffset;
		                coordinates.y += yOffset;
		            });
		        });
		    }

		    proceed.apply(this, [].slice.call(arguments, 1));
		});

		wrap(seriesTypes.pie.prototype, 'addPoint', function (proceed) {
		    proceed.apply(this, [].slice.call(arguments, 1));
		    if (this.chart.is3d()) {
		        // destroy (and rebuild) everything!!!
		        this.update(this.userOptions, true); // #3845 pass the old options
		    }
		});

		wrap(seriesTypes.pie.prototype, 'animate', function (proceed) {
		    if (!this.chart.is3d()) {
		        proceed.apply(this, [].slice.call(arguments, 1));
		    } else {
		        var args = arguments,
		            init = args[1],
		            animation = this.options.animation,
		            attribs,
		            center = this.center,
		            group = this.group,
		            markerGroup = this.markerGroup;

		        if (svg) { // VML is too slow anyway

		            if (animation === true) {
		                animation = {};
		            }
		            // Initialize the animation
		            if (init) {

		                // Scale down the group and place it in the center
		                group.oldtranslateX = group.translateX;
		                group.oldtranslateY = group.translateY;
		                attribs = {
		                    translateX: center[0],
		                    translateY: center[1],
		                    scaleX: 0.001, // #1499
		                    scaleY: 0.001
		                };

		                group.attr(attribs);
		                if (markerGroup) {
		                    markerGroup.attrSetters = group.attrSetters;
		                    markerGroup.attr(attribs);
		                }

		            // Run the animation
		            } else {
		                attribs = {
		                    translateX: group.oldtranslateX,
		                    translateY: group.oldtranslateY,
		                    scaleX: 1,
		                    scaleY: 1
		                };
		                group.animate(attribs, animation);

		                if (markerGroup) {
		                    markerGroup.animate(attribs, animation);
		                }

		                // Delete this function to allow it only once
		                this.animate = null;
		            }

		        }
		    }
		});

	}(Highcharts));
	(function (H) {
		/* *
		 * (c) 2010-2019 Torstein Honsi
		 *
		 * Scatter 3D series.
		 *
		 * License: www.highcharts.com/license
		 */



		var Point = H.Point,
		    seriesType = H.seriesType,
		    seriesTypes = H.seriesTypes;

		/**
		 * @private
		 * @class
		 * @name Highcharts.seriesTypes.scatter3d
		 *
		 * @augments Highcharts.Series
		 */
		seriesType(
		    'scatter3d',
		    'scatter',
		    /**
		     * A 3D scatter plot uses x, y and z coordinates to display values for three
		     * variables for a set of data.
		     *
		     * @sample {highcharts} highcharts/3d/scatter/
		     *         Simple 3D scatter
		     * @sample {highcharts} highcharts/demo/3d-scatter-draggable
		     *         Draggable 3d scatter
		     *
		     * @extends      plotOptions.scatter
		     * @product      highcharts
		     * @optionparent plotOptions.scatter3d
		     */
		    {
		        tooltip: {
		            pointFormat: 'x: <b>{point.x}</b><br/>y: <b>{point.y}</b><br/>z: <b>{point.z}</b><br/>'
		        }

		    // Series class
		    }, {
		        pointAttribs: function (point) {
		            var attribs = seriesTypes.scatter.prototype.pointAttribs
		                .apply(this, arguments);

		            if (this.chart.is3d() && point) {
		                attribs.zIndex = H.pointCameraDistance(point, this.chart);
		            }

		            return attribs;
		        },
		        axisTypes: ['xAxis', 'yAxis', 'zAxis'],
		        pointArrayMap: ['x', 'y', 'z'],
		        parallelArrays: ['x', 'y', 'z'],

		        // Require direct touch rather than using the k-d-tree, because the
		        // k-d-tree currently doesn't take the xyz coordinate system into
		        // account (#4552)
		        directTouch: true

		    // Point class
		    }, {
		        applyOptions: function () {
		            Point.prototype.applyOptions.apply(this, arguments);
		            if (this.z === undefined) {
		                this.z = 0;
		            }

		            return this;
		        }

		    }
		);


		/**
		 * A `scatter3d` series. If the [type](#series.scatter3d.type) option is
		 * not specified, it is inherited from [chart.type](#chart.type).
		 *
		 * scatter3d](#plotOptions.scatter3d).
		 *
		 * @extends   series,plotOptions.scatter3d
		 * @product   highcharts
		 * @apioption series.scatter3d
		 */

		/**
		 * An array of data points for the series. For the `scatter3d` series
		 * type, points can be given in the following ways:
		 *
		 * 1.  An array of arrays with 3 values. In this case, the values correspond
		 * to `x,y,z`. If the first value is a string, it is applied as the name
		 * of the point, and the `x` value is inferred.
		 *
		 *  ```js
		 *     data: [
		 *         [0, 0, 1],
		 *         [1, 8, 7],
		 *         [2, 9, 2]
		 *     ]
		 *  ```
		 *
		 * 3.  An array of objects with named values. The following snippet shows only a
		 * few settings, see the complete options set below. If the total number of data
		 * points exceeds the series'
		 * [turboThreshold](#series.scatter3d.turboThreshold), this option is not
		 * available.
		 *
		 *  ```js
		 *     data: [{
		 *         x: 1,
		 *         y: 2,
		 *         z: 24,
		 *         name: "Point2",
		 *         color: "#00FF00"
		 *     }, {
		 *         x: 1,
		 *         y: 4,
		 *         z: 12,
		 *         name: "Point1",
		 *         color: "#FF00FF"
		 *     }]
		 *  ```
		 *
		 * @sample {highcharts} highcharts/chart/reflow-true/
		 *         Numerical values
		 * @sample {highcharts} highcharts/series/data-array-of-arrays/
		 *         Arrays of numeric x and y
		 * @sample {highcharts} highcharts/series/data-array-of-arrays-datetime/
		 *         Arrays of datetime x and y
		 * @sample {highcharts} highcharts/series/data-array-of-name-value/
		 *         Arrays of point.name and y
		 * @sample {highcharts} highcharts/series/data-array-of-objects/
		 *         Config objects
		 *
		 * @type      {Array<Array<number>|*>}
		 * @extends   series.scatter.data
		 * @product   highcharts
		 * @apioption series.scatter3d.data
		 */

		/**
		 * The z value for each data point.
		 *
		 * @type      {number}
		 * @product   highcharts
		 * @apioption series.scatter3d.data.z
		 */

	}(Highcharts));
	(function (H) {
		/* *
		 * (c) 2010-2019 Torstein Honsi
		 *
		 * Extension to the VML Renderer
		 *
		 * License: www.highcharts.com/license
		 */



		var addEvent = H.addEvent,
		    Axis = H.Axis,
		    SVGRenderer = H.SVGRenderer,
		    VMLRenderer = H.VMLRenderer;

		if (VMLRenderer) {

		    H.setOptions({ animate: false });

		    VMLRenderer.prototype.face3d = SVGRenderer.prototype.face3d;
		    VMLRenderer.prototype.polyhedron = SVGRenderer.prototype.polyhedron;

		    VMLRenderer.prototype.elements3d = SVGRenderer.prototype.elements3d;
		    VMLRenderer.prototype.element3d = SVGRenderer.prototype.element3d;
		    VMLRenderer.prototype.cuboid = SVGRenderer.prototype.cuboid;
		    VMLRenderer.prototype.cuboidPath = SVGRenderer.prototype.cuboidPath;

		    VMLRenderer.prototype.toLinePath = SVGRenderer.prototype.toLinePath;
		    VMLRenderer.prototype.toLineSegments = SVGRenderer.prototype.toLineSegments;

		    VMLRenderer.prototype.arc3d = function (shapeArgs) {
		        var result = SVGRenderer.prototype.arc3d.call(this, shapeArgs);

		        result.css({ zIndex: result.zIndex });
		        return result;
		    };

		    H.VMLRenderer.prototype.arc3dPath = H.SVGRenderer.prototype.arc3dPath;

		    addEvent(Axis, 'render', function () {

		        // VML doesn't support a negative z-index
		        if (this.sideFrame) {
		            this.sideFrame.css({ zIndex: 0 });
		            this.sideFrame.front.attr({ fill: this.sideFrame.color });
		        }
		        if (this.bottomFrame) {
		            this.bottomFrame.css({ zIndex: 1 });
		            this.bottomFrame.front.attr({ fill: this.bottomFrame.color });
		        }
		        if (this.backFrame) {
		            this.backFrame.css({ zIndex: 0 });
		            this.backFrame.front.attr({ fill: this.backFrame.color });
		        }
		    });

		}

	}(Highcharts));
	return (function () {


	}());
}));