/**
 * @license Highcharts JS v6.0.7 (2018-02-16)
 *
 * 3D features for Highcharts JS
 *
 * @license: www.highcharts.com/license
 */
'use strict';
(function(factory) {
    if (typeof module === 'object' && module.exports) {
        module.exports = factory;
    } else {
        factory(Highcharts);
    }
}(function(Highcharts) {
    (function(H) {
        /**
         * (c) 2010-2017 Torstein Honsi
         *
         * License: www.highcharts.com/license
         */
        /* eslint max-len: 0 */
        /**
         *	Mathematical Functionility
         */
        var deg2rad = H.deg2rad,
            pick = H.pick;
        /**
         * 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 |
         */
        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
            };
        }

        function perspective3D(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.
         * Parameters:
         *		- points: the array of points
         *		- chart: the chart
         *		- insidePlotArea: wether to verifiy the points are inside the plotArea
         * Returns:
         *		- 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 H.map(points, 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
                    ),
                    coordinate = perspective3D(rotated, origin, origin.vd); // Apply perspective

                // 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.
         * Parameters:
         *		- coordinates: The coordinates of the specific point
         *		- chart: the chart
         * Returns:
         *		- 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
         */
        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
         */
        H.shapeArea3d = function(vertexes, chart, insidePlotArea) {
            return H.shapeArea(H.perspective(vertexes, chart, insidePlotArea));
        };


    }(Highcharts));
    (function(H) {
        /**
         * (c) 2010-2017 Torstein Honsi
         *
         * License: www.highcharts.com/license
         */
        /* eslint max-len: 0 */
        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,
            each = H.each,
            extend = H.extend,
            inArray = H.inArray,
            map = H.map,
            merge = H.merge,
            perspective = H.perspective,
            pick = H.pick,
            SVGElement = H.SVGElement,
            SVGRenderer = H.SVGRenderer,
            wrap = H.wrap;
        /*
        	EXTENSION TO THE SVG-RENDERER TO ENABLE 3D SHAPES
        */
        // HELPER METHODS //

        var 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
            each(points, 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 = [];

            var m = true;
            each(points, 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;

            wrap(ret, 'attr', function(proceed, 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 proceed.apply(this, [].slice.call(arguments, 1));
            });

            wrap(ret, 'animate', function(proceed, 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 proceed.apply(this, [].slice.call(arguments, 1));
            });

            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;


            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);
            };

            wrap(result, 'attr', function(proceed, 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++) {
                        result.faces[i].attr(hash.faces[i], null, complete, continueAnimation);
                    }
                    delete hash.faces;
                }
                return proceed.apply(this, [].slice.call(arguments, 1));
            });

            wrap(result, 'animate', function(proceed, 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 proceed.apply(this, [].slice.call(arguments, 1));
            });

            return result.attr(args);
        };

        // CUBOIDS //
        SVGRenderer.prototype.cuboid = function(shapeArgs) {

            var result = this.g(),
                destroy = result.destroy,
                paths = this.cuboidPath(shapeArgs);


            result.attr({
                'stroke-linejoin': 'round'
            });


            // create the 3 sides
            result.front = this.path(paths[0]).attr({
                'class': 'highcharts-3d-front'
            }).add(result); // Front, top and side are never overlapping in our case so it is redundant to set zIndex of every element.
            result.top = this.path(paths[1]).attr({
                'class': 'highcharts-3d-top'
            }).add(result);
            result.side = this.path(paths[2]).attr({
                'class': 'highcharts-3d-side'
            }).add(result);

            // apply the fill everywhere, the top a bit brighter, the side a bit darker
            result.fillSetter = function(fill) {
                this.front.attr({
                    fill: fill
                });
                this.top.attr({
                    fill: color(fill).brighten(0.1).get()
                });
                this.side.attr({
                    fill: color(fill).brighten(-0.1).get()
                });
                this.color = fill;

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

                return this;
            };

            // apply opacaity everywhere
            result.opacitySetter = function(opacity) {
                this.front.attr({
                    opacity: opacity
                });
                this.top.attr({
                    opacity: opacity
                });
                this.side.attr({
                    opacity: opacity
                });
                return this;
            };

            result.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)) {
                    var shapeArgs = args.shapeArgs || args;
                    var paths = this.renderer.cuboidPath(shapeArgs);
                    this.front.attr({
                        d: paths[0]
                    });
                    this.top.attr({
                        d: paths[1]
                    });
                    this.side.attr({
                        d: paths[2]
                    });
                } else {
                    // getter returns value
                    return SVGElement.prototype.attr.call(
                        this, args, undefined, complete, continueAnimation
                    );
                }

                return this;
            };

            result.animate = function(args, duration, complete) {
                if (defined(args.x) && defined(args.y)) {
                    var paths = this.renderer.cuboidPath(args);
                    this.front.animate({
                        d: paths[0]
                    }, duration, complete);
                    this.top.animate({
                        d: paths[1]
                    }, duration, complete);
                    this.side.animate({
                        d: paths[2]
                    }, duration, complete);
                    this.attr({
                        zIndex: -paths[3] // #4774
                    });
                } else if (args.opacity) {
                    this.front.animate(args, duration, complete);
                    this.top.animate(args, duration, complete);
                    this.side.animate(args, duration, complete);
                } else {
                    SVGElement.prototype.animate.call(this, args, duration, complete);
                }
                return this;
            };

            // destroy all children
            result.destroy = function() {
                this.front.destroy();
                this.top.destroy();
                this.side.destroy();

                return destroy.call(this);
            };

            // Apply the Z index to the cuboid group
            result.attr({
                zIndex: -paths[3]
            });

            return result;
        };

        /**
         *	Generates a cuboid
         */
        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
            var 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
            }];

            // 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 choosed.
             */
            var pickShape = function(path1, path2) {
                var ret = [
                    [], -1
                ];
                path1 = map(path1, mapPath);
                path2 = map(path2, 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 differents 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 ||
                (alpha >= 0 && alpha <= 180 || alpha < 360 && alpha > 357.5) ? // Numbers checked empirically
                chart.plotHeight - y : 10 + y
            );

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

            zIndex = -Math.round(zIndex);

            return [
                this.toLinePath(path1, true),
                this.toLinePath(path2, true),
                this.toLinePath(path3, true),
                zIndex
            ]; // #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 = {};

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

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

            attribs = merge(attribs);

            attribs.alpha *= deg2rad;
            attribs.beta *= 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
                each(['out', 'inn', 'side1', 'side2'], function(face) {
                    wrapper[face]
                        .attr({
                            'class': className + ' highcharts-3d-side'
                        })
                        .add(parent);
                });
            };

            // Cascade to faces
            each(['addClass', 'removeClass'], function(fn) {
                wrapper[fn] = function() {
                    var args = arguments;
                    each(['top', 'out', 'inn', 'side1', 'side2'], 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.
            each(['opacity', 'translateX', 'translateY', 'visibility'], function(setter) {
                wrapper[setter + 'Setter'] = function(value, key) {
                    wrapper[key] = value;
                    each(['out', 'inn', 'side1', 'side2', 'top'], function(el) {
                        wrapper[el].attr(key, value);
                    });
                };
            });

            /**
             * Override attr to remove shape attributes and use those to set child paths
             */
            wrap(wrapper, 'attr', function(proceed, params) {
                var ca;
                if (typeof params === 'object') {
                    ca = suckOutCustom(params);
                    if (ca) {
                        extend(wrapper.attribs, ca);
                        wrapper.setPaths(wrapper.attribs);
                    }
                }
                return proceed.apply(this, [].slice.call(arguments, 1));
            });

            /**
             * Override the animate function by sucking out custom parameters related to the shapes directly,
             * and update the shapes from the animation step.
             */
            wrap(wrapper, 'animate', function(proceed, params, animation, complete) {
                var ca,
                    from = this.attribs,
                    to,
                    anim;

                // 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, #7437)
                    params.dummy = wrapper.dummy++;

                    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 === 'dummy') {
                                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 proceed.call(this, params, animation, complete);
            });
            wrapper.dummy = 0;

            // 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() {
                this.top.show();
                this.out.show();
                this.inn.show();
                this.side1.show();
                this.side2.show();
            };
            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, // inner radius
                d = shapeArgs.depth, // 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));

            if (end > midEnd && start < midEnd) { // When shape is wide, it can cross both, (c) and (d) edges, when using startAngle
                // 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));
            } else if (end > PI - a && start < PI - a) { // But shape can cross also only (c) edge:
                // 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,
                zTop: Math.PI * incPrecision + 1, // max angle is PI, so this is allways higher
                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) 2010-2017 Torstein Honsi
         *
         * Extension for 3D charts
         *
         * License: www.highcharts.com/license
         */
        /* eslint max-len: 0 */
        var Chart = H.Chart,
            each = H.each,
            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. 
        wrap(Chart.prototype, 'initSeries', function(proceed, options) {
            var type = options.type ||
                this.options.chart.type ||
                this.options.chart.defaultSeriesType;
            if (this.is3d() && type === 'scatter') {
                options.type = 'scatter3d';
            }
            return proceed.call(this, options);
        });

        /**
         * 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.
         * @param  {Object} chart Chart object
         * @param  {Number} chart.plotLeft
         * @param  {Number} chart.plotWidth
         * @param  {Number} chart.plotTop
         * @param  {Number} chart.plotHeight
         * @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:
            each([0, 1], function(i) {
                corners.push({
                    x: plotRight,
                    y: corners[i].y,
                    z: corners[i].z
                });
            });

            // All bottom corners:
            each([0, 1, 2, 3], 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:
            each(corners, 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.
                     * 
                     * @type {Boolean}
                     * @default false
                     * @since 4.0
                     * @product highcharts
                     */
                    enabled: false,

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

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

                    /**
                     * The total depth of the chart.
                     * 
                     * @type {Number}
                     * @default 100
                     * @since 4.0
                     * @product highcharts
                     */
                    depth: 100,

                    /**
                     * Whether the 3d box should automatically adjust to the chart plot
                     * area.
                     * 
                     * @type {Boolean}
                     * @default true
                     * @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.
                     * 
                     * @type {Number}
                     * @default 100
                     * @since 4.0
                     * @product highcharts
                     */
                    viewDistance: 25,

                    /**
                     * Set it to `"auto"` to automatically move the labels to the best
                     * edge.
                     * 
                     * @validvalue [null, "auto"]
                     * @type {String}
                     * @default null
                     * @since 5.0.12
                     * @product highcharts
                     */
                    axisLabelPosition: 'default',

                    /**
                     * 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 {Color}
                         * @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.
                         * 
                         * @validvalue ["default", "auto", true, false]
                         * @type {Boolean|String}
                         * @sample {highcharts} highcharts/3d/scatter-frame/ Auto frames
                         * @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);



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

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

        H.wrap(H.Chart.prototype, 'setChartSize', function(proceed) {
            var chart = this,
                options3d = chart.options.chart.options3d;

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

            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():
                chart.scale3d = 1; // @notice getScale uses perspective, so scale3d has to be reset.
                if (options3d.fitToPlot === true) {
                    chart.scale3d = getScale(chart, options3d.depth);
                }
            }
        });

        wrap(Chart.prototype, 'redraw', function(proceed) {
            if (this.is3d()) {
                // Set to force a redraw of all elements
                this.isDirtyBox = true;
                this.frame3d = this.get3dFrame();
            }
            proceed.apply(this, [].slice.call(arguments, 1));
        });

        wrap(Chart.prototype, 'render', function(proceed) {
            if (this.is3d()) {
                this.frame3d = this.get3dFrame();
            }
            proceed.apply(this, [].slice.call(arguments, 1));
        });

        // 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);
            }
        });

        wrap(Chart.prototype, 'drawChartBox', function(proceed) {
            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
                        }
                    ]
                });
            }

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

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

            each(this.series, 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
            each([].concat(chart.xAxis, chart.yAxis, chart.zAxis), 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;
                    } else 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.
         * 
         * @since 4.0
         * @product highcharts
         * @apioption chart.options3d.frame.side
         */

        /**
         * The color of the panel.
         * 
         * @type {Color}
         * @default transparent
         * @since 4.0
         * @product highcharts
         * @apioption chart.options3d.frame.side.color
         */

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


    }(Highcharts));
    (function(H) {
        /**
         * (c) 2010-2017 Torstein Honsi
         *
         * Extenstion for 3d axes
         *
         * License: www.highcharts.com/license
         */
        var ZAxis,

            Axis = H.Axis,
            Chart = H.Chart,
            deg2rad = H.deg2rad,
            each = H.each,
            extend = H.extend,
            merge = H.merge,
            perspective = H.perspective,
            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).
                 * 
                 * @validvalue ['offset', 'chart', 'flap', 'ortho']
                 * @sample highcharts/3d/skewed-labels/ Skewed labels
                 * @since 5.0.15
                 * @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`.
                 * 
                 * @since 5.0.15
                 * @sample highcharts/3d/skewed-labels/ Skewed labels
                 * @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).
                 * - `null`: Will use the config from `labels.position3d`
                 * 
                 * @validvalue ['offset', 'chart', 'flap', 'ortho', null]
                 * @type {String}
                 * @since 5.0.15
                 * @sample highcharts/3d/skewed-labels/ Skewed labels
                 * @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`.
                 * 
                 * @validvalue [false, true, null]
                 * @type {Boolean}
                 * @sample highcharts/3d/skewed-labels/ Skewed labels
                 * @since 5.0.15
                 * @product highcharts
                 */
                skew3d: null
            }
        };

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


        wrap(Axis.prototype, 'setOptions', function(proceed, userOptions) {
            var options;
            proceed.call(this, userOptions);
            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];
            } else {
                projected.matrix = null;
            }

            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);
        });

        wrap(Tick.prototype, 'getLabelPosition', function(proceed) {
            var pos = proceed.apply(this, [].slice.call(arguments, 1));
            return fix3dPosition(this.axis, pos);
        });

        wrap(Axis.prototype, 'getTitlePosition', function(proceed) {
            var pos = proceed.apply(this, [].slice.call(arguments, 1));
            return fix3dPosition(this, pos, true);
        });

        wrap(Axis.prototype, 'drawCrosshair', function(proceed) {
            var args = arguments;
            if (this.chart.is3d() && this.coll !== 'colorAxis') {
                if (args[2]) {
                    args[2] = {
                        plotX: args[2].plotXold || args[2].plotX,
                        plotY: args[2].plotYold || args[2].plotY
                    };
                }
            }
            proceed.apply(this, [].slice.call(args, 1));
        });

        wrap(Axis.prototype, 'destroy', function(proceed) {
            each(['backFrame', 'bottomFrame', 'sideFrame'], function(prop) {
                if (this[prop]) {
                    this[prop] = this[prop].destroy();
                }
            }, this);
            proceed.apply(this, [].slice.call(arguments, 1));
        });

        /*
        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
                each(axis.series, 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)
                            );
                        }
                    }
                });
            }
        });


        /**
         * Extend the chart getAxes method to also get the color axis
         */
        wrap(Chart.prototype, 'getAxes', function(proceed) {
            var chart = this,
                options = this.options,
                zAxisOptions = options.zAxis = splat(options.zAxis || {});

            proceed.call(this);

            if (!chart.is3d()) {
                return;
            }
            this.zAxis = [];
            each(zAxisOptions, 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();
            });
        });

    }(Highcharts));
    (function(H) {
        /**
         * (c) 2010-2017 Torstein Honsi
         *
         * Extension to the Series object in 3D charts.
         *
         * License: www.highcharts.com/license
         */
        var perspective = H.perspective,
            pick = H.pick,
            wrap = H.wrap;

        // Wrap the translate method to post-translate points into 3D perspective
        wrap(H.Series.prototype, 'translate', function(proceed) {
            proceed.apply(this, [].slice.call(arguments, 1));

            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;
                }

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

            projectedPoints = perspective(rawPoints, chart, true);

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

                rawPoint.plotXold = rawPoint.plotX;
                rawPoint.plotYold = rawPoint.plotY;
                rawPoint.plotZold = rawPoint.plotZ;

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


    }(Highcharts));
    (function(H) {
        /**
         * (c) 2010-2017 Torstein Honsi
         *
         * License: www.highcharts.com/license
         */
        /* eslint max-len: 0 */
        var each = H.each,
            perspective = H.perspective,
            pick = H.pick,
            Series = H.Series,
            seriesTypes = H.seriesTypes,
            inArray = H.inArray,
            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 {Color}
         * @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();
            }
        });

        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);
            each(series.data, function(point) {
                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.
                    each(dimensions, 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 &&
                            shapeArgs[d[1]] !== 0 // Do not change height/width of column if 0.
                            // #6708
                        ) {
                            shapeArgs[d[1]] = series[d[0] + 'Axis'].len - shapeArgs[d[0]];
                        }
                        if (
                            (shapeArgs[d[1]] !== 0) && // Do not remove columns with zero height/width.
                            (
                                shapeArgs[d[0]] >= series[d[0] + 'Axis'].len ||
                                shapeArgs[d[0]] + shapeArgs[d[1]] <= borderCrisp
                            )
                        ) {
                            for (var key in shapeArgs) { // Set args to 0 if column is outside the chart.
                                shapeArgs[key] = 0;
                            }
                        }
                    });

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

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

            if (this.chart.is3d()) {
                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 columnranges
            if (this.chart.is3d() && (this.type === 'column' || this.type === 'columnrange')) {
                var series = this,
                    chart = series.chart;

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

                var pos = ({
                    x: alignTo.x,
                    y: alignTo.y,
                    z: series.z
                });
                pos = perspective([pos], chart, true)[0];
                alignTo.x = pos.x;
                alignTo.y = 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;
        });

        /*
        	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) 2010-2017 Torstein Honsi
         *
         * 3D pie series
         * 
         * License: www.highcharts.com/license
         */
        /* eslint max-len: 0 */
        var deg2rad = H.deg2rad,
            each = H.each,
            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;
            }

            each(series.data, 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()) {
                attr.stroke = options.edgeColor || point.color || this.color;
                attr['stroke-width'] = pick(options.edgeWidth, 1);
            }

            return attr;
        });


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

            if (this.chart.is3d()) {
                each(this.points, function(point) {
                    var graphic = point.graphic;

                    // #4584 Check if has graphic - null points don't have it
                    if (graphic) {
                        // Hide null or 0 points (#3006, 3650)
                        graphic[point.y && point.visible ? 'show' : 'hide']();
                    }
                });
            }
        });

        wrap(seriesTypes.pie.prototype, 'drawDataLabels', function(proceed) {
            if (this.chart.is3d()) {
                var series = this,
                    chart = series.chart,
                    options3d = chart.options.chart.options3d;
                each(series.data, function(point) {
                    var shapeArgs = point.shapeArgs,
                        r = shapeArgs.r,
                        a1 = (shapeArgs.alpha || options3d.alpha) * deg2rad, // #3240 issue with datalabels for 0 and null values
                        b1 = (shapeArgs.beta || options3d.beta) * deg2rad,
                        a2 = (shapeArgs.start + shapeArgs.end) / 2,
                        labelPos = point.labelPos,
                        labelIndexes = [0, 2, 4], // [x1, y1, x2, y2, x3, y3]
                        yOffset = (-r * (1 - Math.cos(a1)) * Math.sin(a2)), // + (sin(a2) > 0 ? sin(a1) * d : 0)
                        xOffset = r * (Math.cos(b1) - 1) * Math.cos(a2);

                    // Apply perspective on label positions
                    each(labelIndexes, function(index) {
                        labelPos[index] += xOffset;
                        labelPos[index + 1] += 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) 2010-2017 Torstein Honsi
         *
         * Scatter 3D series.
         *
         * License: www.highcharts.com/license
         */
        var Point = H.Point,
            seriesType = H.seriesType,
            seriesTypes = H.seriesTypes;

        /**
         * 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
         */
        seriesType('scatter3d', 'scatter', {
            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).
         * 
         * For options that apply to multiple series, it is recommended to add
         * them to the [plotOptions.series](#plotOptions.series) options structure.
         * To apply to all series of this specific type, apply it to [plotOptions.
         * scatter3d](#plotOptions.scatter3d).
         * 
         * @type {Object}
         * @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 objects are point
         * configuration objects as seen 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"
         *     }]
         *  ```
         * 
         * @type {Array<Object|Array>}
         * @extends series.scatter.data
         * @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    
         * @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) 2010-2017 Torstein Honsi
         *
         * License: www.highcharts.com/license
         */

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

        /**
         *	Extension to the VML Renderer
         */
        if (VMLRenderer) {

            H.setOptions({
                animate: false
            });

            VMLRenderer.prototype.face3d = SVGRenderer.prototype.face3d;
            VMLRenderer.prototype.polyhedron = SVGRenderer.prototype.polyhedron;
            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.createElement3D =
                SVGRenderer.prototype.createElement3D;

            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;

            H.wrap(Axis.prototype, 'render', function(proceed) {
                proceed.apply(this, [].slice.call(arguments, 1));
                // 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));
}));
