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| /** * @license Highcharts JS v7.0.2 (2019-01-17) * * (c) 2017-2019 Highsoft AS * Authors: Jon Arild Nygard * * License: www.highcharts.com/license */'use strict';(function (factory) {	if (typeof module === 'object' && module.exports) {		factory['default'] = factory;		module.exports = factory;	} else if (typeof define === 'function' && define.amd) {		define(function () {			return factory;		});	} else {		factory(typeof Highcharts !== 'undefined' ? Highcharts : undefined);	}}(function (Highcharts) {	var draw = (function () {		var isFn = function (x) {		    return typeof x === 'function';		};		/**		 * Handles the drawing of a point.		 *		 * @private		 * @function draw		 *		 * @param {object} params		 *        Parameters.		 *		 * @todo		 * - add type checking.		 */		var draw = function draw(params) {		    var point = this,		        graphic = point.graphic,		        animatableAttribs = params.animatableAttribs,		        onComplete = params.onComplete,		        css = params.css,		        renderer = params.renderer;		    if (point.shouldDraw()) {		        if (!graphic) {		            point.graphic = graphic =		                renderer[params.shapeType](params.shapeArgs).add(params.group);		        }		        graphic		            .css(css)		            .attr(params.attribs)		            .animate(		                animatableAttribs,		                params.isNew ? false : undefined,		                onComplete		            );		    } else if (graphic) {		        graphic.animate(animatableAttribs, undefined, function () {		            point.graphic = graphic = graphic.destroy();		            if (isFn(onComplete)) {		                onComplete();		            }		        });		    }		    if (graphic) {		        graphic.addClass(point.getClassName(), true);		    }		};		return draw;	}());	var geometry = (function () {		/**		 * Calculates the center between a list of points.		 *		 * @param {array} points A list of points to calculate the center of.		 */		var getCenterOfPoints = function getCenterOfPoints(points) {		    var sum = points.reduce(function (sum, point) {		        sum.x += point.x;		        sum.y += point.y;		        return sum;		    }, { x: 0, y: 0 });		    return {		        x: sum.x / points.length,		        y: sum.y / points.length		    };		};		/**		 * Calculates the distance between two points based on their x and y		 * coordinates.		 *		 * @param {object} p1 The x and y coordinates of the first point.		 * @param {object} p2 The x and y coordinates of the second point.		 * @returns {number} Returns the distance between the points.		 */		var getDistanceBetweenPoints = function getDistanceBetweenPoints(p1, p2) {		    return Math.sqrt(Math.pow(p2.x - p1.x, 2) + Math.pow(p2.y - p1.y, 2));		};		/**		 * Calculates the angle between two points.		 *		 * TODO: add unit tests.		 *		 * @param {object} p1 The first point.		 * @param {object} p2 The second point.		 * @returns {number} Returns the angle in radians.		 */		var getAngleBetweenPoints = function getAngleBetweenPoints(p1, p2) {		    return Math.atan2(p2.x - p1.x, p2.y - p1.y);		};		var geometry = {		    getAngleBetweenPoints: getAngleBetweenPoints,		    getCenterOfPoints: getCenterOfPoints,		    getDistanceBetweenPoints: getDistanceBetweenPoints		};		return geometry;	}());	var geometryCircles = (function (geometry) {		var getAngleBetweenPoints = geometry.getAngleBetweenPoints,		    getCenterOfPoints = geometry.getCenterOfPoints,		    getDistanceBetweenPoints = geometry.getDistanceBetweenPoints;		var round = function round(x, decimals) {		    var a = Math.pow(10, decimals);		    return Math.round(x * a) / a;		};		/**		 * Calculates the area of a circular segment based on the radius of the circle		 * and the height of the segment.		 * See http://mathworld.wolfram.com/CircularSegment.html		 *		 * @param {number} r The radius of the circle.		 * @param {number} h The height of the circular segment.		 * @returns {number} Returns the area of the circular segment.		 */		var getCircularSegmentArea = function getCircularSegmentArea(r, h) {		    return r * r * Math.acos(1 - h / r) - (r - h) * Math.sqrt(h * (2 * r - h));		};		/**		 * Calculates the area of overlap between two circles based on their radiuses		 * and the distance between them.		 * See http://mathworld.wolfram.com/Circle-CircleIntersection.html		 *		 * @param {number} r1 Radius of the first circle.		 * @param {number} r2 Radius of the second circle.		 * @param {number} d The distance between the two circles.		 * @returns {number} Returns the area of overlap between the two circles.		 */		var getOverlapBetweenCircles =		function getOverlapBetweenCircles(r1, r2, d) {		    var overlap = 0;		    // If the distance is larger than the sum of the radiuses then the circles		    // does not overlap.		    if (d < r1 + r2) {		        var r1Square = r1 * r1,		            r2Square = r2 * r2;		        if (d <= Math.abs(r2 - r1)) {		            // If the circles are completely overlapping, then the overlap		            // equals the area of the smallest circle.		            overlap = Math.PI * Math.min(r1Square, r2Square);		        } else {		            // Height of first triangle segment.		            var d1 = (r1Square - r2Square + d * d) / (2 * d),		                // Height of second triangle segment.		                d2 = d - d1;		            overlap = (		                getCircularSegmentArea(r1, r1 - d1) +		                getCircularSegmentArea(r2, r2 - d2)		            );		        }		        // Round the result to two decimals.		        overlap = round(overlap, 14);		    }		    return overlap;		};		/**		 * Calculates the intersection points of two circles.		 *		 * NOTE: does not handle floating errors well.		 *		 * @param {object} c1 The first circle.s		 * @param {object} c2 The second sircle.		 * @returns {array} Returns the resulting intersection points.		 */		var getCircleCircleIntersection =		function getCircleCircleIntersection(c1, c2) {		    var d = getDistanceBetweenPoints(c1, c2),		        r1 = c1.r,		        r2 = c2.r,		        points = [];		    if (d < r1 + r2 && d > Math.abs(r1 - r2)) {		        // If the circles are overlapping, but not completely overlapping, then		        // it exists intersecting points.		        var r1Square = r1 * r1,		            r2Square = r2 * r2,		            // d^2 - r^2 + R^2 / 2d		            x = (r1Square - r2Square + d * d) / (2 * d),		            // y^2 = R^2 - x^2		            y = Math.sqrt(r1Square - x * x),		            x1 = c1.x,		            x2 = c2.x,		            y1 = c1.y,		            y2 = c2.y,		            x0 = x1 + x * (x2 - x1) / d,		            y0 = y1 + x * (y2 - y1) / d,		            rx = -(y2 - y1) * (y / d),		            ry = -(x2 - x1) * (y / d);		        points = [		            { x: round(x0 + rx, 14), y: round(y0 - ry, 14) },		            { x: round(x0 - rx, 14), y: round(y0 + ry, 14) }		        ];		    }		    return points;		};		/**		 * Calculates all the intersection points for between a list of circles.		 *		 * @param {array} circles The circles to calculate the points from.		 * @returns {array} Returns a list of intersection points.		 */		var getCirclesIntersectionPoints = function getIntersectionPoints(circles) {		    return circles.reduce(function (points, c1, i, arr) {		        var additional = arr.slice(i + 1)		            .reduce(function (points, c2, j) {		                var indexes = [i, j + i + 1];		                return points.concat(		                    getCircleCircleIntersection(c1, c2)		                        .map(function (p) {		                            p.indexes = indexes;		                            return p;		                        })		                );		            }, []);		        return points.concat(additional);		    }, []);		};		/**		 * Tests wether a point lies within a given circle.		 *		 * @param {object} point The point to test for.		 * @param {object} circle The circle to test if the point is within.		 * @returns {boolean} Returns true if the point is inside, false if outside.		 */		var isPointInsideCircle = function isPointInsideCircle(point, circle) {		    return getDistanceBetweenPoints(point, circle) <= circle.r + 1e-10;		};		/**		 * Tests wether a point lies within a set of circles.		 *		 * @param {object} point The point to test.		 * @param {array} circles The list of circles to test against.		 * @returns {boolean} Returns true if the point is inside all the circles, false		 * if not.		 */		var isPointInsideAllCircles = function isPointInsideAllCircles(point, circles) {		    return !circles.some(function (circle) {		        return !isPointInsideCircle(point, circle);		    });		};		/**		 * Tests wether a point lies outside a set of circles.		 *		 * TODO: add unit tests.		 *		 * @param {object} point The point to test.		 * @param {array} circles The list of circles to test against.		 * @returns {boolean} Returns true if the point is outside all the circles,		 * false if not.		 */		var isPointOutsideAllCircles =		function isPointOutsideAllCircles(point, circles) {		    return !circles.some(function (circle) {		        return isPointInsideCircle(point, circle);		    });		};		/**		 * Calculate the path for the area of overlap between a set of circles.		 *		 * TODO: handle cases with only 1 or 0 arcs.		 *		 * @param {array} circles List of circles to calculate area of.		 * @returns {string} Returns the path for the area of overlap. Returns an empty		 * string if there are no intersection between all the circles.		 */		var getAreaOfIntersectionBetweenCircles =		function getAreaOfIntersectionBetweenCircles(circles) {		    var intersectionPoints = getCirclesIntersectionPoints(circles)		            .filter(function (p) {		                return isPointInsideAllCircles(p, circles);		            }),		        result;		    if (intersectionPoints.length > 1) {		        // Calculate the center of the intersection points.		        var center = getCenterOfPoints(intersectionPoints);		        intersectionPoints = intersectionPoints		            // Calculate the angle between the center and the points.		            .map(function (p) {		                p.angle = getAngleBetweenPoints(center, p);		                return p;		            })		            // Sort the points by the angle to the center.		            .sort(function (a, b) {		                return b.angle - a.angle;		            });		        var startPoint = intersectionPoints[intersectionPoints.length - 1];		        var arcs = intersectionPoints		            .reduce(function (data, p1) {		                var startPoint = data.startPoint,		                    midPoint = getCenterOfPoints([startPoint, p1]);		                // Calculate the arc from the intersection points and their		                // circles.		                var arc = p1.indexes		                    // Filter out circles that are not included in both		                    // intersection points.		                    .filter(function (index) {		                        return startPoint.indexes.indexOf(index) > -1;		                    })		                    // Iterate the circles of the intersection points and		                    // calculate arcs.		                    .reduce(function (arc, index) {		                        var circle = circles[index],		                            angle1 = getAngleBetweenPoints(circle, p1),		                            angle2 = getAngleBetweenPoints(circle, startPoint),		                            angleDiff = angle2 - angle1 +		                                (angle2 < angle1 ? 2 * Math.PI : 0),		                            angle = angle2 - angleDiff / 2,		                            width = getDistanceBetweenPoints(		                                midPoint,		                                {		                                    x: circle.x + circle.r * Math.sin(angle),		                                    y: circle.y + circle.r * Math.cos(angle)		                                }		                            ),		                            r = circle.r;		                        // Width can sometimes become to large due to floating		                        // point errors		                        if (width > r * 2) {		                            width = r * 2;		                        }		                        // Get the arc with the smallest width.		                        if (!arc || arc.width > width) {		                            arc = {		                                r: r,		                                largeArc: width > r ? 1 : 0,		                                width: width,		                                x: p1.x,		                                y: p1.y		                            };		                        }		                        // Return the chosen arc.		                        return arc;		                    }, null);		                // If we find an arc then add it to the list and update p2.		                if (arc) {		                    var r = arc.r;		                    data.arcs.push(		                        ['A', r, r, 0, arc.largeArc, 1, arc.x, arc.y]		                    );		                    data.startPoint = p1;		                }		                return data;		            }, {		                startPoint: startPoint,		                arcs: []		            }).arcs;		        if (arcs.length === 0) {		        } else if (arcs.length === 1) {		        } else {		            arcs.unshift(['M', startPoint.x, startPoint.y]);		            result = {		                center: center,		                d: arcs		            };		        }		    }		    return result;		};		var geometryCircles = {		    getAreaOfIntersectionBetweenCircles: getAreaOfIntersectionBetweenCircles,		    getCircleCircleIntersection: getCircleCircleIntersection,		    getCirclesIntersectionPoints: getCirclesIntersectionPoints,		    getCircularSegmentArea: getCircularSegmentArea,		    getOverlapBetweenCircles: getOverlapBetweenCircles,		    isPointInsideCircle: isPointInsideCircle,		    isPointInsideAllCircles: isPointInsideAllCircles,		    isPointOutsideAllCircles: isPointOutsideAllCircles,		    round: round		};		return geometryCircles;	}(geometry));	(function (draw, geometry, geometryCircles, H) {		/* *		 * Experimental Highcharts module which enables visualization of a Venn Diagram.		 *		 * (c) 2016-2019 Highsoft AS		 *		 * Authors: Jon Arild Nygard		 *		 * Layout algorithm by Ben Frederickson:		 * https://www.benfrederickson.com/better-venn-diagrams/		 *		 * License: www.highcharts.com/license		 */		var color = H.Color,		    extend = H.extend,		    getAreaOfIntersectionBetweenCircles =		        geometryCircles.getAreaOfIntersectionBetweenCircles,		    getCircleCircleIntersection = geometryCircles.getCircleCircleIntersection,		    getCenterOfPoints = geometry.getCenterOfPoints,		    getDistanceBetweenPoints = geometry.getDistanceBetweenPoints,		    getOverlapBetweenCirclesByDistance =		        geometryCircles.getOverlapBetweenCircles,		    isArray = H.isArray,		    isNumber = H.isNumber,		    isObject = H.isObject,		    isPointInsideAllCircles = geometryCircles.isPointInsideAllCircles,		    isPointOutsideAllCircles = geometryCircles.isPointOutsideAllCircles,		    isString = H.isString,		    merge = H.merge,		    seriesType = H.seriesType;		var objectValues = function objectValues(obj) {		    return Object.keys(obj).map(function (x) {		        return obj[x];		    });		};		/**		 * Calculates the area of overlap between a list of circles.		 * @private		 * @todo add support for calculating overlap between more than 2 circles.		 * @param {Array<object>} circles List of circles with their given positions.		 * @return {number} Returns the area of overlap between all the circles.		 */		var getOverlapBetweenCircles = function getOverlapBetweenCircles(circles) {		    var overlap = 0;		    // When there is only two circles we can find the overlap by using their		    // radiuses and the distance between them.		    if (circles.length === 2) {		        var circle1 = circles[0];		        var circle2 = circles[1];		        overlap = getOverlapBetweenCirclesByDistance(		            circle1.r,		            circle2.r,		            getDistanceBetweenPoints(circle1, circle2)		        );		    }		    return overlap;		};		/**		 * Calculates the difference between the desired overlap and the actual overlap		 * between two circles.		 * @private		 * @param {object} mapOfIdToCircle Map from id to circle.		 * @param {Array<object>} relations List of relations to calculate the loss of.		 * @return {number} Returns the loss between positions of the circles for the		 * given relations.		 */		var loss = function loss(mapOfIdToCircle, relations) {		    var precision = 10e10;		    // Iterate all the relations and calculate their individual loss.		    return relations.reduce(function (totalLoss, relation) {		        var loss = 0;		        if (relation.sets.length > 1) {		            var wantedOverlap = relation.value;		            // Calculate the actual overlap between the sets.		            var actualOverlap = getOverlapBetweenCircles(		                // Get the circles for the given sets.		                relation.sets.map(function (set) {		                    return mapOfIdToCircle[set];		                })		            );		            var diff = wantedOverlap - actualOverlap;		            loss = Math.round((diff * diff) * precision) / precision;		        }		        // Add calculated loss to the sum.		        return totalLoss + loss;		    }, 0);		};		/**		 * Finds the root of a given function. The root is the input value needed for		 * a function to return 0.		 *		 * See https://en.wikipedia.org/wiki/Bisection_method#Algorithm		 *		 * TODO: Add unit tests.		 *		 * @param {function} f The function to find the root of.		 * @param {number} a The lowest number in the search range.		 * @param {number} b The highest number in the search range.		 * @param {number} [tolerance=1e-10] The allowed difference between the returned		 * value and root.		 * @param {number} [maxIterations=100] The maximum iterations allowed.		 */		var bisect = function bisect(f, a, b, tolerance, maxIterations) {		    var fA = f(a),		        fB = f(b),		        nMax = maxIterations || 100,		        tol = tolerance || 1e-10,		        delta = b - a,		        n = 1,		        x, fX;		    if (a >= b) {		        throw new Error('a must be smaller than b.');		    } else if (fA * fB > 0) {		        throw new Error('f(a) and f(b) must have opposite signs.');		    }		    if (fA === 0) {		        x = a;		    } else if (fB === 0) {		        x = b;		    } else {		        while (n++ <= nMax && fX !== 0 && delta > tol) {		            delta = (b - a) / 2;		            x = a + delta;		            fX = f(x);		            // Update low and high for next search interval.		            if (fA * fX > 0) {		                a = x;		            } else {		                b = x;		            }		        }		    }		    return x;		};		/**		 * Uses the bisection method to make a best guess of the ideal distance between		 * two circles too get the desired overlap.		 * Currently there is no known formula to calculate the distance from the area		 * of overlap, which makes the bisection method preferred.		 * @private		 * @param {number} r1 Radius of the first circle.		 * @param {number} r2 Radiues of the second circle.		 * @param {number} overlap The wanted overlap between the two circles.		 * @return {number} Returns the distance needed to get the wanted overlap		 * between the two circles.		 */		var getDistanceBetweenCirclesByOverlap =		function getDistanceBetweenCirclesByOverlap(r1, r2, overlap) {		    var maxDistance = r1 + r2,		        distance = maxDistance;		    if (overlap > 0) {		        distance = bisect(function (x) {		            var actualOverlap = getOverlapBetweenCirclesByDistance(r1, r2, x);		            // Return the differance between wanted and actual overlap.		            return overlap - actualOverlap;		        }, 0, maxDistance);		    }		    return distance;		};		var isSet = function (x) {		    return isArray(x.sets) && x.sets.length === 1;		};		/**		 * Finds an optimal position for a given point.		 * @private		 * @todo add unit tests.		 * @todo add constraints to optimize the algorithm.		 * @param {Function} fn The function to test a point.		 * @param {Array<*>} initial The initial point to optimize.		 * @return {Array<*>} Returns the opimized position of a point.		 */		var nelderMead = function nelderMead(fn, initial) {		    var maxIterations = 100,		        sortByFx = function (a, b) {		            return a.fx - b.fx;		        },		        pRef = 1, // Reflection parameter		        pExp = 2, // Expansion parameter		        pCon = -0.5, // Contraction parameter		        pOCon = pCon * pRef, // Outwards contraction parameter		        pShrink = 0.5; // Shrink parameter		    var weightedSum = function weightedSum(weight1, v1, weight2, v2) {		        return v1.map(function (x, i) {		            return weight1 * x + weight2 * v2[i];		        });		    };		    var getSimplex = function getSimplex(initial) {		        var n = initial.length,		            simplex = new Array(n + 1);		        // Initial point to the simplex.		        simplex[0] = initial;		        simplex[0].fx = fn(initial);		        // Create a set of extra points based on the initial.		        for (var i = 0; i < n; ++i) {		            var point = initial.slice();		            point[i] = point[i] ? point[i] * 1.05 : 0.001;		            point.fx = fn(point);		            simplex[i + 1] = point;		        }		        return simplex;		    };		    var updateSimplex = function (simplex, point) {		        point.fx = fn(point);		        simplex[simplex.length - 1] = point;		        return simplex;		    };		    var shrinkSimplex = function (simplex) {		        var best = simplex[0];		        return simplex.map(function (point) {		            var p = weightedSum(1 - pShrink, best, pShrink, point);		            p.fx = fn(p);		            return p;		        });		    };		    var getCentroid = function (simplex) {		        var arr = simplex.slice(0, -1),		            length = arr.length,		            result = [],		            sum = function (data, point) {		                data.sum += point[data.i];		                return data;		            };		        for (var i = 0; i < length; i++) {		            result[i] = simplex.reduce(sum, { sum: 0, i: i }).sum / length;		        }		        return result;		    };		    var getPoint = function (centroid, worst, a, b) {		        var point = weightedSum(a, centroid, b, worst);		        point.fx = fn(point);		        return point;		    };		    // Create a simplex		    var simplex = getSimplex(initial);		    // Iterate from 0 to max iterations		    for (var i = 0; i < maxIterations; i++) {		        // Sort the simplex		        simplex.sort(sortByFx);		        // Create a centroid from the simplex		        var worst = simplex[simplex.length - 1];		        var centroid = getCentroid(simplex);		        // Calculate the reflected point.		        var reflected = getPoint(centroid, worst, 1 + pRef, -pRef);		        if (reflected.fx < simplex[0].fx) {		            // If reflected point is the best, then possibly expand.		            var expanded = getPoint(centroid, worst, 1 + pExp, -pExp);		            simplex = updateSimplex(		                simplex,		                (expanded.fx < reflected.fx) ? expanded : reflected		            );		        } else if (reflected.fx >= simplex[simplex.length - 2].fx) {		            // If the reflected point is worse than the second worse, then		            // contract.		            var contracted;		            if (reflected.fx > worst.fx) {		                // If the reflected is worse than the worst point, do a		                // contraction		                contracted = getPoint(centroid, worst, 1 + pCon, -pCon);		                if (contracted.fx < worst.fx) {		                    simplex = updateSimplex(simplex, contracted);		                } else {		                    simplex = shrinkSimplex(simplex);		                }		            } else {		                // Otherwise do an outwards contraction		                contracted = getPoint(centroid, worst, 1 - pOCon, pOCon);		                if (contracted.fx < reflected.fx) {		                    simplex = updateSimplex(simplex, contracted);		                } else {		                    simplex = shrinkSimplex(simplex);		                }		            }		        } else {		            simplex = updateSimplex(simplex, reflected);		        }		    }		    return simplex[0];		};		/**		 * Calculates a margin for a point based on the iternal and external circles.		 * The margin describes if the point is well placed within the internal circles,		 * and away from the external		 * @private		 * @todo add unit tests.		 * @param {object} point The point to evaluate.		 * @param {Array<object>} internal The internal circles.		 * @param {Array<object>} external The external circles.		 * @return {number} Returns the margin.		 */		var getMarginFromCircles =		function getMarginFromCircles(point, internal, external) {		    var margin = internal.reduce(function (margin, circle) {		        var m = circle.r - getDistanceBetweenPoints(point, circle);		        return (m <= margin) ? m : margin;		    }, Number.MAX_VALUE);		    margin = external.reduce(function (margin, circle) {		        var m = getDistanceBetweenPoints(point, circle) - circle.r;		        return (m <= margin) ? m : margin;		    }, margin);		    return margin;		};		/**		 * Finds the optimal label position by looking for a position that has a low		 * distance from the internal circles, and as large possible distane to the		 * external circles.		 * @private		 * @todo Optimize the intial position.		 * @todo Add unit tests.		 * @param {Array<object>} internal Internal circles.		 * @param {Array<object>} external External circles.		 * @return {object} Returns the found position.		 */		var getLabelPosition = function getLabelPosition(internal, external) {		    // Get the best label position within the internal circles.		    var best = internal.reduce(function (best, circle) {		        var d = circle.r / 2;		        // Give a set of points with the circle to evaluate as the best label		        // position.		        return [		            { x: circle.x, y: circle.y },		            { x: circle.x + d, y: circle.y },		            { x: circle.x - d, y: circle.y },		            { x: circle.x, y: circle.y + d },		            { x: circle.x, y: circle.y - d }		        ]		        // Iterate the given points and return the one with the largest margin.		            .reduce(function (best, point) {		                var margin = getMarginFromCircles(point, internal, external);		                // If the margin better than the current best, then update best.		                if (best.margin < margin) {		                    best.point = point;		                    best.margin = margin;		                }		                return best;		            }, best);		    }, {		        point: undefined,		        margin: -Number.MAX_VALUE		    }).point;		    // Use nelder mead to optimize the initial label position.		    var optimal = nelderMead(		        function (p) {		            return -(		                getMarginFromCircles({ x: p[0], y: p[1] }, internal, external)		            );		        },		        [best.x, best.y]		    );		    // Update best to be the point which was found to have the best margin.		    best = {		        x: optimal[0],		        y: optimal[1]		    };		    if (!(		        isPointInsideAllCircles(best, internal) &&		        isPointOutsideAllCircles(best, external)		    )) {		        // If point was either outside one of the internal, or inside one of the		        // external, then it was invalid and should use a fallback.		        best = getCenterOfPoints(internal);		    }		    // Return the best point.		    return best;		};		/**		 * Calulates data label positions for a list of relations.		 * @private		 * @todo add unit tests		 * @todo NOTE: may be better suited as a part of the layout function.		 * @param {Array<object>} relations The list of relations.		 * @return {object} Returns a map from id to the data label position.		 */		var getLabelPositions = function getLabelPositions(relations) {		    var singleSets = relations.filter(isSet);		    return relations.reduce(function (map, relation) {		        if (relation.value) {		            var sets = relation.sets,		                id = sets.join(),		                // Create a list of internal and external circles.		                data = singleSets.reduce(function (data, set) {		                    // If the set exists in this relation, then it is internal,		                    // otherwise it will be external.		                    var isInternal = sets.indexOf(set.sets[0]) > -1,		                        property = isInternal ? 'internal' : 'external';		                    // Add the circle to the list.		                    data[property].push(set.circle);		                    return data;		                }, {		                    internal: [],		                    external: []		                });		            // Calulate the label position.		            map[id] = getLabelPosition(		                data.internal,		                data.external		            );		        }		        return map;		    }, {});		};		/**		 * Takes an array of relations and adds the properties `totalOverlap` and		 * `overlapping` to each set. The property `totalOverlap` is the sum of value		 * for each relation where this set is included. The property `overlapping` is		 * a map of how much this set is overlapping another set.		 * NOTE: This algorithm ignores relations consisting of more than 2 sets.		 * @private		 * @param {Array<object>} relations The list of relations that should be sorted.		 * @return {Array<object>} Returns the modified input relations with added		 * properties `totalOverlap` and `overlapping`.		 */		var addOverlapToSets = function addOverlapToSets(relations) {		    // Calculate the amount of overlap per set.		    var mapOfIdToProps = relations		        // Filter out relations consisting of 2 sets.		        .filter(function (relation) {		            return relation.sets.length === 2;		        })		        // Sum up the amount of overlap for each set.		        .reduce(function (map, relation) {		            var sets = relation.sets;		            sets.forEach(function (set, i, arr) {		                if (!isObject(map[set])) {		                    map[set] = {		                        overlapping: {},		                        totalOverlap: 0		                    };		                }		                map[set].totalOverlap += relation.value;		                map[set].overlapping[arr[1 - i]] = relation.value;		            });		            return map;		        }, {});		    relations		        // Filter out single sets		        .filter(isSet)		        // Extend the set with the calculated properties.		        .forEach(function (set) {		            var properties = mapOfIdToProps[set.sets[0]];		            extend(set, properties);		        });		    // Returns the modified relations.		    return relations;		};		/**		 * Takes two sets and finds the one with the largest total overlap.		 * @private		 * @param {object} a The first set to compare.		 * @param {object} b The second set to compare.		 * @return {number} Returns 0 if a and b are equal, <0 if a is greater, >0 if b		 * is greater.		 */		var sortByTotalOverlap = function sortByTotalOverlap(a, b) {		    return b.totalOverlap - a.totalOverlap;		};		/**		 * Uses a greedy approach to position all the sets. Works well with a small		 * number of sets, and are in these cases a good choice aesthetically.		 * @private		 * @param {Array<object>} relations List of the overlap between two or more		 * sets, or the size of a single set.		 * @return {Array<object>} List of circles and their calculated positions.		 */		var layoutGreedyVenn = function layoutGreedyVenn(relations) {		    var positionedSets = [],		        mapOfIdToCircles = {};		    // Define a circle for each set.		    relations		        .filter(function (relation) {		            return relation.sets.length === 1;		        }).forEach(function (relation) {		            mapOfIdToCircles[relation.sets[0]] = relation.circle = {		                x: Number.MAX_VALUE,		                y: Number.MAX_VALUE,		                r: Math.sqrt(relation.value / Math.PI)		            };		        });		    /**		     * Takes a set and updates the position, and add the set to the list of		     * positioned sets.		     * @private		     * @param {object} set The set to add to its final position.		     * @param {object} coordinates The coordinates to position the set at.		     */		    var positionSet = function positionSet(set, coordinates) {		        var circle = set.circle;		        circle.x = coordinates.x;		        circle.y = coordinates.y;		        positionedSets.push(set);		    };		    // Find overlap between sets. Ignore relations with more then 2 sets.		    addOverlapToSets(relations);		    // Sort sets by the sum of their size from large to small.		    var sortedByOverlap = relations		        .filter(isSet)		        .sort(sortByTotalOverlap);		    // Position the most overlapped set at 0,0.		    positionSet(sortedByOverlap.pop(), { x: 0, y: 0 });		    var relationsWithTwoSets = relations.filter(function (x) {		        return x.sets.length === 2;		    });		    // Iterate and position the remaining sets.		    sortedByOverlap.forEach(function (set) {		        var circle = set.circle,		            radius = circle.r,		            overlapping = set.overlapping;		        var bestPosition = positionedSets		            .reduce(function (best, positionedSet, i) {		                var positionedCircle = positionedSet.circle,		                    overlap = overlapping[positionedSet.sets[0]];		                // Calculate the distance between the sets to get the correct		                // overlap		                var distance = getDistanceBetweenCirclesByOverlap(		                    radius,		                    positionedCircle.r,		                    overlap		                );		                // Create a list of possible coordinates calculated from		                // distance.		                var possibleCoordinates = [		                    { x: positionedCircle.x + distance, y: positionedCircle.y },		                    { x: positionedCircle.x - distance, y: positionedCircle.y },		                    { x: positionedCircle.x, y: positionedCircle.y + distance },		                    { x: positionedCircle.x, y: positionedCircle.y - distance }		                ];		                // If there are more circles overlapping, then add the		                // intersection points as possible positions.		                positionedSets.slice(i + 1).forEach(function (positionedSet2) {		                    var positionedCircle2 = positionedSet2.circle,		                        overlap2 = overlapping[positionedSet2.sets[0]],		                        distance2 = getDistanceBetweenCirclesByOverlap(		                            radius,		                            positionedCircle2.r,		                            overlap2		                        );		                    // Add intersections to list of coordinates.		                    possibleCoordinates = possibleCoordinates.concat(		                        getCircleCircleIntersection({		                            x: positionedCircle.x,		                            y: positionedCircle.y,		                            r: distance2		                        }, {		                            x: positionedCircle2.x,		                            y: positionedCircle2.y,		                            r: distance2		                        })		                    );		                });		                // Iterate all suggested coordinates and find the best one.		                possibleCoordinates.forEach(function (coordinates) {		                    circle.x = coordinates.x;		                    circle.y = coordinates.y;		                    // Calculate loss for the suggested coordinates.		                    var currentLoss = loss(		                        mapOfIdToCircles, relationsWithTwoSets		                    );		                    // If the loss is better, then use these new coordinates.		                    if (currentLoss < best.loss) {		                        best.loss = currentLoss;		                        best.coordinates = coordinates;		                    }		                });		                // Return resulting coordinates.		                return best;		            }, {		                loss: Number.MAX_VALUE,		                coordinates: undefined		            });		        // Add the set to its final position.		        positionSet(set, bestPosition.coordinates);		    });		    // Return the positions of each set.		    return mapOfIdToCircles;		};		/**		 * Calculates the positions of all the sets in the venn diagram.		 * @private		 * @todo Add support for constrained MDS.		 * @param {Array<object>} relations List of the overlap between two or more sets, or the		 * size of a single set.		 * @return {Arrat<object>} List of circles and their calculated positions.		 */		var layout = function (relations) {		    var mapOfIdToShape = {};		    // Calculate best initial positions by using greedy layout.		    if (relations.length > 0) {		        mapOfIdToShape = layoutGreedyVenn(relations);		        relations		            .filter(function (x) {		                return !isSet(x);		            })		            .forEach(function (relation) {		                var sets = relation.sets,		                    id = sets.join(),		                    circles = sets.map(function (set) {		                        return mapOfIdToShape[set];		                    });		                // Add intersection shape to map		                mapOfIdToShape[id] =		                    getAreaOfIntersectionBetweenCircles(circles);		            });		    }		    return mapOfIdToShape;		};		var isValidRelation = function (x) {		    var map = {};		    return (		        isObject(x) &&		        (isNumber(x.value) && x.value > -1) &&		        (isArray(x.sets) && x.sets.length > 0) &&		        !x.sets.some(function (set) {		            var invalid = false;		            if (!map[set] && isString(set)) {		                map[set] = true;		            } else {		                invalid = true;		            }		            return invalid;		        })		    );		};		var isValidSet = function (x) {		    return (isValidRelation(x) && isSet(x) && x.value > 0);		};		/**		 * Prepares the venn data so that it is usable for the layout function. Filter		 * out sets, or intersections that includes sets, that are missing in the data		 * or has (value < 1). Adds missing relations between sets in the data as		 * value = 0.		 * @private		 * @param {Array<object>} data The raw input data.		 * @return {Array<object>} Returns an array of valid venn data.		 */		var processVennData = function processVennData(data) {		    var d = isArray(data) ? data : [];		    var validSets = d		        .reduce(function (arr, x) {		            // Check if x is a valid set, and that it is not an duplicate.		            if (isValidSet(x) && arr.indexOf(x.sets[0]) === -1) {		                arr.push(x.sets[0]);		            }		            return arr;		        }, [])		        .sort();		    var mapOfIdToRelation = d.reduce(function (mapOfIdToRelation, relation) {		        if (isValidRelation(relation) && !relation.sets.some(function (set) {		            return validSets.indexOf(set) === -1;		        })) {		            mapOfIdToRelation[relation.sets.sort().join()] = relation;		        }		        return mapOfIdToRelation;		    }, {});		    validSets.reduce(function (combinations, set, i, arr) {		        var remaining = arr.slice(i + 1);		        remaining.forEach(function (set2) {		            combinations.push(set + ',' + set2);		        });		        return combinations;		    }, []).forEach(function (combination) {		        if (!mapOfIdToRelation[combination]) {		            var obj = {		                sets: combination.split(','),		                value: 0		            };		            mapOfIdToRelation[combination] = obj;		        }		    });		    // Transform map into array.		    return objectValues(mapOfIdToRelation);		};		/**		 * Calculates the proper scale to fit the cloud inside the plotting area.		 * @private		 * @todo add unit test		 * @param {number} targetWidth  Width of target area.		 * @param {number} targetHeight Height of target area.		 * @param {object} field The playing field.		 * @param {Highcharts.Series} series Series object.		 * @return {object} Returns the value to scale the playing field up to the size		 * of the target area, and center of x and y.		 */		var getScale = function getScale(targetWidth, targetHeight, field) {		    var height = field.bottom - field.top, // top is smaller than bottom		        width = field.right - field.left,		        scaleX = width > 0 ? 1 / width * targetWidth : 1,		        scaleY = height > 0 ? 1 / height * targetHeight : 1,		        adjustX = (field.right + field.left) / 2,		        adjustY = (field.top + field.bottom) / 2,		        scale = Math.min(scaleX, scaleY);		    return {		        scale: scale,		        centerX: targetWidth / 2 - adjustX * scale,		        centerY: targetHeight / 2 - adjustY * scale		    };		};		/**		 * If a circle is outside a give field, then the boundaries of the field is		 * adjusted accordingly. Modifies the field object which is passed as the first		 * parameter.		 * @private		 * @todo NOTE: Copied from wordcloud, can probably be unified.		 * @param {object} field The bounding box of a playing field.		 * @param {object} placement The bounding box for a placed point.		 * @return {object} Returns a modified field object.		 */		var updateFieldBoundaries = function updateFieldBoundaries(field, circle) {		    var left = circle.x - circle.r,		        right = circle.x + circle.r,		        bottom = circle.y + circle.r,		        top = circle.y - circle.r;		    // TODO improve type checking.		    if (!isNumber(field.left) || field.left > left) {		        field.left = left;		    }		    if (!isNumber(field.right) || field.right < right) {		        field.right = right;		    }		    if (!isNumber(field.top) || field.top > top) {		        field.top = top;		    }		    if (!isNumber(field.bottom) || field.bottom < bottom) {		        field.bottom = bottom;		    }		    return field;		};		/**		 * A Venn diagram displays all possible logical relations between a collection		 * of different sets. The sets are represented by circles, and the relation		 * between the sets are displayed by the overlap or lack of overlap between		 * them. The venn diagram is a special case of Euler diagrams, which can also		 * be displayed by this series type.		 *		 * @sample {highcharts} highcharts/demo/venn-diagram/		 *         Venn diagram		 * @sample {highcharts} highcharts/demo/euler-diagram/		 *         Euler diagram		 *		 * @extends      plotOptions.scatter		 * @excluding    connectEnds, connectNulls, cropThreshold, findNearestPointBy,		 *               getExtremesFromAll, jitter, label, linecap, lineWidth,		 *               linkedTo, marker, negativeColor, pointInterval,		 *               pointIntervalUnit, pointPlacement, pointStart, softThreshold,		 *               stacking, steps, threshold, xAxis, yAxis, zoneAxis, zones		 * @product      highcharts		 * @optionparent plotOptions.venn		 */		var vennOptions = {		    borderColor: '#cccccc',		    borderDashStyle: 'solid',		    borderWidth: 1,		    brighten: 0,		    clip: false,		    colorByPoint: true,		    dataLabels: {		        enabled: true,		        formatter: function () {		            return this.point.name;		        }		    },		    marker: false,		    opacity: 0.75,		    showInLegend: false,		    states: {		        hover: {		            opacity: 1,		            halo: false,		            borderColor: '#333333'		        },		        select: {		            color: '#cccccc',		            borderColor: '#000000',		            animation: false		        }		    },		    tooltip: {		        pointFormat: '{point.name}: {point.value}'		    }		};		var vennSeries = {		    isCartesian: false,		    axisTypes: [],		    directTouch: true,		    pointArrayMap: ['value'],		    translate: function () {		        var chart = this.chart;		        this.processedXData = this.xData;		        this.generatePoints();		        // Process the data before passing it into the layout function.		        var relations = processVennData(this.options.data);		        // Calculate the positions of each circle.		        var mapOfIdToShape = layout(relations);		        // Calculate positions of each data label		        var mapOfIdToLabelPosition = getLabelPositions(relations);		        // Calculate the scale, and center of the plot area.		        var field = Object.keys(mapOfIdToShape)		                .filter(function (key) {		                    var shape = mapOfIdToShape[key];		                    return shape && isNumber(shape.r);		                })		                .reduce(function (field, key) {		                    return updateFieldBoundaries(field, mapOfIdToShape[key]);		                }, { top: 0, bottom: 0, left: 0, right: 0 }),		            scaling = getScale(chart.plotWidth, chart.plotHeight, field),		            scale = scaling.scale,		            centerX = scaling.centerX,		            centerY = scaling.centerY;		        // Iterate all points and calculate and draw their graphics.		        this.points.forEach(function (point) {		            var sets = isArray(point.sets) ? point.sets : [],		                id = sets.join(),		                shape = mapOfIdToShape[id],		                shapeArgs,		                dataLabelPosition = mapOfIdToLabelPosition[id];		            if (shape) {		                if (shape.r) {		                    shapeArgs = {		                        x: centerX + shape.x * scale,		                        y: centerY + shape.y * scale,		                        r: shape.r * scale		                    };		                } else if (shape.d) {		                    // TODO: find a better way to handle scaling of a path.		                    var d = shape.d.reduce(function (path, arr) {		                        if (arr[0] === 'M') {		                            arr[1] = centerX + arr[1] * scale;		                            arr[2] = centerY + arr[2] * scale;		                        } else if (arr[0] === 'A') {		                            arr[1] = arr[1] * scale;		                            arr[2] = arr[2] * scale;		                            arr[6] = centerX + arr[6] * scale;		                            arr[7] = centerY + arr[7] * scale;		                        }		                        return path.concat(arr);		                    }, [])		                        .join(' ');		                    shapeArgs = {		                        d: d		                    };		                }		                // Scale the position for the data label.		                if (dataLabelPosition) {		                    dataLabelPosition.x = centerX + dataLabelPosition.x * scale;		                    dataLabelPosition.y = centerY + dataLabelPosition.y * scale;		                } else {		                    dataLabelPosition = {};		                }		            }		            point.shapeArgs = shapeArgs;		            // Placement for the data labels		            if (dataLabelPosition && shapeArgs) {		                point.plotX = dataLabelPosition.x;		                point.plotY = dataLabelPosition.y;		            }		            // Set name for usage in tooltip and in data label.		            point.name = point.options.name || sets.join('∩');		        });		    },		    /**		     * Draw the graphics for each point.		     * @private		     */		    drawPoints: function () {		        var series = this,		            // Series properties		            chart = series.chart,		            group = series.group,		            points = series.points || [],		            // Chart properties		            renderer = chart.renderer;		        // Iterate all points and calculate and draw their graphics.		        points.forEach(function (point) {		            var attribs,		                shapeArgs = point.shapeArgs;		            // Add point attribs		            if (!chart.styledMode) {		                attribs = series.pointAttribs(point, point.state);		            }		            // Draw the point graphic.		            point.draw({		                isNew: !point.graphic,		                animatableAttribs: shapeArgs,		                attribs: attribs,		                group: group,		                renderer: renderer,		                shapeType: shapeArgs && shapeArgs.d ? 'path' : 'circle'		            });		        });		    },		    /**		     * Calculates the style attributes for a point. The attributes can vary		     * depending on the state of the point.		     * @private		     * @param {object} point The point which will get the resulting attributes.		     * @param {string} state The state of the point.		     * @return {object} Returns the calculated attributes.		     */		    pointAttribs: function (point, state) {		        var series = this,		            seriesOptions = series.options || {},		            pointOptions = point && point.options || {},		            stateOptions = (state && seriesOptions.states[state]) || {},		            options = merge(		                seriesOptions,		                { color: point && point.color },		                pointOptions,		                stateOptions		            );		        // Return resulting values for the attributes.		        return {		            'fill': color(options.color)		                .setOpacity(options.opacity)		                .brighten(options.brightness)		                .get(),		            'stroke': options.borderColor,		            'stroke-width': options.borderWidth,		            'dashstyle': options.borderDashStyle		        };		    },		    animate: function (init) {		        if (!init) {		            var series = this,		                animOptions = H.animObject(series.options.animation);		            series.points.forEach(function (point) {		                var args = point.shapeArgs;		                if (point.graphic && args) {		                    var attr = {},		                        animate = {};		                    if (args.d) {		                        // If shape is a path, then animate opacity.		                        attr.opacity = 0.001;		                    } else {		                        // If shape is a circle, then animate radius.		                        attr.r = 0;		                        animate.r = args.r;		                    }		                    point.graphic		                        .attr(attr)		                        .animate(animate, animOptions);		                    // If shape is path, then fade it in after the circles		                    // animation		                    if (args.d) {		                        setTimeout(function () {		                            if (point && point.graphic) {		                                point.graphic.animate({		                                    opacity: 1		                                });		                            }		                        }, animOptions.duration);		                    }		                }		            }, series);		            series.animate = null;		        }		    },		    utils: {		        addOverlapToSets: addOverlapToSets,		        geometry: geometry,		        geometryCircles: geometryCircles,		        getDistanceBetweenCirclesByOverlap: getDistanceBetweenCirclesByOverlap,		        loss: loss,		        processVennData: processVennData,		        sortByTotalOverlap: sortByTotalOverlap		    }		};		var vennPoint = {		    draw: draw,		    shouldDraw: function () {		        var point = this;		        // Only draw points with single sets.		        return !!point.shapeArgs;		    },		    isValid: function () {		        return isNumber(this.value);		    }		};		/**		 * A `venn` series. If the [type](#series.venn.type) option is		 * not specified, it is inherited from [chart.type](#chart.type).		 *		 * @extends   series,plotOptions.venn		 * @excluding connectEnds, connectNulls, cropThreshold, dataParser, dataURL,		 *            findNearestPointBy, getExtremesFromAll, label, linecap, lineWidth,		 *            linkedTo, marker, negativeColor, pointInterval, pointIntervalUnit,		 *            pointPlacement, pointStart, softThreshold, stack, stacking, steps,		 *            threshold, xAxis, yAxis, zoneAxis, zones		 * @product   highcharts		 * @apioption series.venn		 */		/**		 * @type      {Array<*>}		 * @extends   series.scatter.data		 * @excluding marker, x, y		 * @product   highcharts		 * @apioption series.venn.data		 */		/**		 * The name of the point. Used in data labels and tooltip. If name is not		 * defined then it will default to the joined values in		 * [sets](#series.venn.sets).		 *		 * @sample {highcharts} highcharts/demo/venn-diagram/		 *         Venn diagram		 * @sample {highcharts} highcharts/demo/euler-diagram/		 *         Euler diagram		 *		 * @type      {number}		 * @since     7.0.0		 * @product   highcharts		 * @apioption series.venn.data.name		 */		/**		 * The value of the point, resulting in a relative area of the circle, or area		 * of overlap between two sets in the venn or euler diagram.		 *		 * @sample {highcharts} highcharts/demo/venn-diagram/		 *         Venn diagram		 * @sample {highcharts} highcharts/demo/euler-diagram/		 *         Euler diagram		 *		 * @type      {number}		 * @since     7.0.0		 * @product   highcharts		 * @apioption series.venn.data.value		 */		/**		 * The set or sets the options will be applied to. If a single entry is defined,		 * then it will create a new set. If more than one entry is defined, then it		 * will define the overlap between the sets in the array.		 *		 * @sample {highcharts} highcharts/demo/venn-diagram/		 *         Venn diagram		 * @sample {highcharts} highcharts/demo/euler-diagram/		 *         Euler diagram		 *		 * @type      {Array<string>}		 * @since     7.0.0		 * @product   highcharts		 * @apioption series.venn.data.sets		 */		/**		 * @private		 * @class		 * @name Highcharts.seriesTypes.venn		 *		 * @augments Highcharts.Series		 */		seriesType('venn', 'scatter', vennOptions, vennSeries, vennPoint);	}(draw, geometry, geometryCircles, Highcharts));	return (function () {	}());}));
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