text: /**
   * @license Highcharts JS v5.0.13 (2017-07-27)
   *
   * 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
           */
          /**
           *	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
           */
          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
              ];
          }
  
  
          /**
           * Override the SVGRenderer initiator to add definitions used by brighter and
           * darker faces of the cuboids.
           */
          wrap(SVGRenderer.prototype, 'init', function(proceed) {
              proceed.apply(this, [].slice.call(arguments, 1));
  
              each([{
                  name: 'darker',
                  slope: 0.6
              }, {
                  name: 'brighter',
                  slope: 1.4
              }], function(cfg) {
                  this.definition({
                      tagName: 'filter',
                      id: 'highcharts-' + cfg.name,
                      children: [{
                          tagName: 'feComponentTransfer',
                          children: [{
                              tagName: 'feFuncR',
                              type: 'linear',
                              slope: cfg.slope
                          }, {
                              tagName: 'feFuncG',
                              type: 'linear',
                              slope: cfg.slope
                          }, {
                              tagName: 'feFuncB',
                              type: 'linear',
                              slope: cfg.slope
                          }]
                      }]
                  });
              }, this);
          });
  
  
          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.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);
  
  
  
              // 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.dummy = 1; // Params need to have a property in order for the step to run (#5765)
  
                      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);
              });
  
              // 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
           *
           * License: www.highcharts.com/license
           */
          var Chart = H.Chart,
              each = H.each,
              merge = H.merge,
              perspective = H.perspective,
              pick = H.pick,
              wrap = H.wrap;
  
          /*** 
          	EXTENSION FOR 3D CHARTS
          ***/
          // 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');
  
          /**
           * 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();
  
          /**
           * 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.
           * @optionparent
           */
          var extendedOptions = {
  
              /**
               * Options regarding the chart area and plot area as well as general
               * chart options.
               * 
               * @product highcharts highstock highmaps
               */
              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: {
  
                          /**
                           */
                          visible: 'default',
  
                          /**
                           */
                          size: 1,
  
                          /**
                           * The bottom of the frame around a 3D chart.
                           * 
                           * @since 4.0
                           * @product highcharts
                           */
                          bottom: {},
  
                          /**
                           * The top of the frame around a 3D chart.
                           * 
                           * @type {Object}
                           * @since 5.0.12
                           * @product highcharts
                           */
                          top: {},
  
                          /**
                           */
                          left: {},
  
                          /**
                           */
                          right: {},
  
                          /**
                           * Defines the back panel of the frame around 3D charts.
                           * 
                           * @since 4.0
                           * @product highcharts
                           */
                          back: {},
  
                          /**
                           */
                          front: {}
                      }
                  }
              }
          };
  
          merge(true, defaultOptions, extendedOptions);
  
  
          /**
           * Override the getContainer by adding the required CSS classes for column 
           * sides (#6018)
           */
          wrap(Chart.prototype, 'getContainer', function(proceed) {
              proceed.apply(this, [].slice.call(arguments, 1));
  
              this.renderer.definition({
                  tagName: 'style',
                  textContent: '.highcharts-3d-top{' +
                      'filter: url(#highcharts-brighter)' +
                      '}\n' +
                      '.highcharts-3d-side{' +
                      'filter: url(#highcharts-darker)' +
                      '}\n'
              });
          });
  
  
          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,
                  bottomOrientation = H.shapeArea3d([{
                      x: xm,
                      y: yp,
                      z: zp
                  }, {
                      x: xp,
                      y: yp,
                      z: zp
                  }, {
                      x: xp,
                      y: yp,
                      z: zm
                  }, {
                      x: xm,
                      y: yp,
                      z: zm
                  }], chart),
                  topOrientation = H.shapeArea3d([{
                      x: xm,
                      y: ym,
                      z: zm
                  }, {
                      x: xp,
                      y: ym,
                      z: zm
                  }, {
                      x: xp,
                      y: ym,
                      z: zp
                  }, {
                      x: xm,
                      y: ym,
                      z: zp
                  }], chart),
                  leftOrientation = H.shapeArea3d([{
                      x: xm,
                      y: ym,
                      z: zm
                  }, {
                      x: xm,
                      y: ym,
                      z: zp
                  }, {
                      x: xm,
                      y: yp,
                      z: zp
                  }, {
                      x: xm,
                      y: yp,
                      z: zm
                  }], chart),
                  rightOrientation = H.shapeArea3d([{
                      x: xp,
                      y: ym,
                      z: zp
                  }, {
                      x: xp,
                      y: ym,
                      z: zm
                  }, {
                      x: xp,
                      y: yp,
                      z: zm
                  }, {
                      x: xp,
                      y: yp,
                      z: zp
                  }], chart),
                  frontOrientation = H.shapeArea3d([{
                      x: xm,
                      y: yp,
                      z: zm
                  }, {
                      x: xp,
                      y: yp,
                      z: zm
                  }, {
                      x: xp,
                      y: ym,
                      z: zm
                  }, {
                      x: xm,
                      y: ym,
                      z: zm
                  }], chart),
                  backOrientation = H.shapeArea3d([{
                      x: xm,
                      y: ym,
                      z: zp
                  }, {
                      x: xp,
                      y: ym,
                      z: zp
                  }, {
                      x: xp,
                      y: yp,
                      z: zp
                  }, {
                      x: xm,
                      y: yp,
                      z: zp
                  }], chart),
                  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
                      });
                  }
                  if (isValidEdge(ret.left, ret.back)) {
                      yEdges.push({
                          y: (ym + yp) / 2,
                          x: xm,
                          z: zp
                      });
                  }
                  if (isValidEdge(ret.right, ret.front)) {
                      yEdges.push({
                          y: (ym + yp) / 2,
                          x: xp,
                          z: zm
                      });
                  }
                  if (isValidEdge(ret.right, ret.back)) {
                      yEdges.push({
                          y: (ym + yp) / 2,
                          x: xp,
                          z: zp
                      });
                  }
  
                  var xBottomEdges = [];
                  if (isValidEdge(ret.bottom, ret.front)) {
                      xBottomEdges.push({
                          x: (xm + xp) / 2,
                          y: yp,
                          z: zm
                      });
                  }
                  if (isValidEdge(ret.bottom, ret.back)) {
                      xBottomEdges.push({
                          x: (xm + xp) / 2,
                          y: yp,
                          z: zp
                      });
                  }
  
                  var xTopEdges = [];
                  if (isValidEdge(ret.top, ret.front)) {
                      xTopEdges.push({
                          x: (xm + xp) / 2,
                          y: ym,
                          z: zm
                      });
                  }
                  if (isValidEdge(ret.top, ret.back)) {
                      xTopEdges.push({
                          x: (xm + xp) / 2,
                          y: ym,
                          z: zp
                      });
                  }
  
                  var zBottomEdges = [];
                  if (isValidEdge(ret.bottom, ret.left)) {
                      zBottomEdges.push({
                          z: (zm + zp) / 2,
                          y: yp,
                          x: xm
                      });
                  }
                  if (isValidEdge(ret.bottom, ret.right)) {
                      zBottomEdges.push({
                          z: (zm + zp) / 2,
                          y: yp,
                          x: xp
                      });
                  }
  
                  var zTopEdges = [];
                  if (isValidEdge(ret.top, ret.left)) {
                      zTopEdges.push({
                          z: (zm + zp) / 2,
                          y: ym,
                          x: xm
                      });
                  }
                  if (isValidEdge(ret.top, ret.right)) {
                      zTopEdges.push({
                          z: (zm + zp) / 2,
                          y: ym,
                          x: xp
                      });
                  }
  
                  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
                          },
                          'right': {
                              x: xp,
                              z: zm
                          }
                      },
                      x: {
                          'top': {
                              y: ym,
                              z: zm
                          },
                          'bottom': {
                              y: yp,
                              z: zm
                          }
                      },
                      z: {
                          'top': {
                              x: defaultShowLeft ? xp : xm,
                              y: ym
                          },
                          'bottom': {
                              x: defaultShowLeft ? xp : xm,
                              y: yp
                          }
                      }
                  };
              }
  
              return ret;
          };
  
  
      }(Highcharts));
      (function(H) {
          /**
           * (c) 2010-2017 Torstein Honsi
           *
           * License: www.highcharts.com/license
           */
          var ZAxis,
  
              Axis = H.Axis,
              Chart = H.Chart,
              each = H.each,
              extend = H.extend,
              merge = H.merge,
              perspective = H.perspective,
              pick = H.pick,
              splat = H.splat,
              Tick = H.Tick,
              wrap = H.wrap;
          /***
          	EXTENSION TO THE AXIS
          ***/
          wrap(Axis.prototype, 'setOptions', function(proceed, userOptions) {
              var options;
              proceed.call(this, userOptions);
              if (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) {
              return this.chart.is3d() ? [] : proceed.apply(this, [].slice.call(arguments, 1));
          });
  
          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) {
              if (axis.chart.is3d() && axis.coll !== 'colorAxis') {
                  var chart = axis.chart,
                      frame = chart.frame3d,
                      plotLeft = chart.plotLeft,
                      plotRight = chart.plotWidth + plotLeft,
                      plotTop = chart.plotTop,
                      plotBottom = chart.plotHeight + plotTop,
                      dx = 0,
                      dy = 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 {};
                          }
                          dy = pos.y - plotTop;
                          pos.x = frame.axes.z.top.x;
                          pos.y = frame.axes.z.top.y;
                      } else {
                          if (frame.axes.z.bottom === null) {
                              return {};
                          }
                          dy = pos.y - plotBottom;
                          pos.x = frame.axes.z.bottom.x;
                          pos.y = frame.axes.z.bottom.y;
                      }
                  } else if (axis.horiz) { // X Axis
                      if (axis.opposite) {
                          if (frame.axes.x.top === null) {
                              return {};
                          }
                          dy = pos.y - plotTop;
                          pos.y = frame.axes.x.top.y;
                          pos.z = frame.axes.x.top.z;
                      } else {
                          if (frame.axes.x.bottom === null) {
                              return {};
                          }
                          dy = pos.y - plotBottom;
                          pos.y = frame.axes.x.bottom.y;
                          pos.z = frame.axes.x.bottom.z;
                      }
                  } else { //Y Axis
                      if (axis.opposite) {
                          if (frame.axes.y.right === null) {
                              return {};
                          }
                          dx = pos.x - plotRight;
                          pos.x = frame.axes.y.right.x;
                          pos.z = frame.axes.y.right.z;
                      } else {
                          if (frame.axes.y.left === null) {
                              return {};
                          }
                          dx = pos.x - plotLeft;
                          pos.x = frame.axes.y.left.x;
                          pos.z = frame.axes.y.left.z;
                      }
                  }
                  pos = perspective([pos], axis.chart)[0];
                  pos.x += dx;
                  pos.y += dy;
              }
              return pos;
          }
  
          /***
          	EXTENSION TO THE TICKS
          ***/
  
          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);
          });
  
          H.wrap(Axis.prototype, 'getTitlePosition', function(proceed) {
              var pos = proceed.apply(this, [].slice.call(arguments, 1));
              return fix3dPosition(this, pos);
          });
  
          wrap(Axis.prototype, 'drawCrosshair', function(proceed) {
              var args = arguments;
              if (this.chart.is3d()) {
                  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;
                  axisOptions.isX = true; //Z-Axis is shown horizontally, so it's kind of a X-Axis
                  var zAxis = new ZAxis(chart, axisOptions);
                  zAxis.setScale();
              });
          });
  
      }(Highcharts));
      (function(H) {
          /**
           * (c) 2010-2017 Torstein Honsi
           *
           * License: www.highcharts.com/license
           */
          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;
  
          /***
          	EXTENSION FOR 3D COLUMNS
          ***/
          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()) {
                  return;
              }
  
              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]) {
                  this[prop] = parent;
                  parent.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;
              }
          });
  
  
  
          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
           *
           * License: www.highcharts.com/license
           */
          var deg2rad = H.deg2rad,
              each = H.each,
              pick = H.pick,
              seriesTypes = H.seriesTypes,
              svg = H.svg,
              wrap = H.wrap;
  
          /*** 
          	EXTENSION FOR 3D PIES
          ***/
  
          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, '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
           *
           * License: www.highcharts.com/license
           */
          var perspective = H.perspective,
              pick = H.pick,
              Point = H.Point,
              seriesTypes = H.seriesTypes,
              wrap = H.wrap;
  
          /*** 
          	EXTENSION FOR 3D SCATTER CHART
          ***/
  
          wrap(seriesTypes.scatter.prototype, 'translate', function(proceed) {
              //function translate3d(proceed) {
              proceed.apply(this, [].slice.call(arguments, 1));
  
              if (!this.chart.is3d()) {
                  return;
              }
  
              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];
                  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;
  
                  rawPoints.push({
                      x: rawPoint.plotX,
                      y: rawPoint.plotY,
                      z: rawPoint.plotZ
                  });
              }
  
              projectedPoints = perspective(rawPoints, chart, true);
  
              for (i = 0; i < series.data.length; i++) {
                  rawPoint = series.data[i];
                  projectedPoint = projectedPoints[i];
  
                  rawPoint.plotXold = rawPoint.plotX;
                  rawPoint.plotYold = rawPoint.plotY;
                  rawPoint.plotZold = rawPoint.plotZ;
  
                  rawPoint.plotX = projectedPoint.x;
                  rawPoint.plotY = projectedPoint.y;
                  rawPoint.plotZ = projectedPoint.z;
  
              }
  
          });
  
  
          wrap(seriesTypes.scatter.prototype, 'init', function(proceed, chart, options) {
              if (chart.is3d()) {
                  // add a third coordinate
                  this.axisTypes = ['xAxis', 'yAxis', 'zAxis'];
                  this.pointArrayMap = ['x', 'y', 'z'];
                  this.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)
                  this.directTouch = true;
              }
  
              var result = proceed.apply(this, [chart, options]);
  
              if (this.chart.is3d()) {
                  // Set a new default tooltip formatter
                  var default3dScatterTooltip = 'x: <b>{point.x}</b><br/>y: <b>{point.y}</b><br/>z: <b>{point.z}</b><br/>';
                  if (this.userOptions.tooltip) {
                      this.tooltipOptions.pointFormat = this.userOptions.tooltip.pointFormat || default3dScatterTooltip;
                  } else {
                      this.tooltipOptions.pointFormat = default3dScatterTooltip;
                  }
              }
              return result;
          });
  
          /**
           * Updating zIndex for every point - based on the distance from point to camera
           */
          wrap(seriesTypes.scatter.prototype, 'pointAttribs', function(proceed, point) {
              var pointOptions = proceed.apply(this, [].slice.call(arguments, 1));
              if (this.chart.is3d() && point) {
                  pointOptions.zIndex = H.pointCameraDistance(point, this.chart);
              }
              return pointOptions;
          });
  
  
          wrap(Point.prototype, 'applyOptions', function(proceed) {
              var point = proceed.apply(this, [].slice.call(arguments, 1));
  
              if (this.series.chart.is3d() && point.z === undefined) {
                  point.z = 0;
              }
              return point;
          });
  
      }(Highcharts));
      (function(H) {
          /**
           * (c) 2010-2017 Torstein Honsi
           *
           * License: www.highcharts.com/license
           */
  
  
      }(Highcharts));
  }));
  