bigDataApp/node_modules/_highcharts@9.0.1@highcharts/modules/venn.src.js

/**
 * @license Highcharts JS v9.0.1 (2021-02-16)
 *
 * (c) 2017-2021 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('highcharts/modules/venn', ['highcharts'], function (Highcharts) {
            factory(Highcharts);
            factory.Highcharts = Highcharts;
            return factory;
        });
    } else {
        factory(typeof Highcharts !== 'undefined' ? Highcharts : undefined);
    }
}(function (Highcharts) {
    var _modules = Highcharts ? Highcharts._modules : {};
    function _registerModule(obj, path, args, fn) {
        if (!obj.hasOwnProperty(path)) {
            obj[path] = fn.apply(null, args);
        }
    }
    _registerModule(_modules, 'Mixins/Geometry.js', [], function () {
        /* *
         *
         *  !!!!!!! SOURCE GETS TRANSPILED BY TYPESCRIPT. EDIT TS FILE ONLY. !!!!!!!
         *
         * */
        /**
         * Calculates the center between a list of points.
         * @private
         * @param {Array<Highcharts.PositionObject>} points
         *        A list of points to calculate the center of.
         * @return {Highcharts.PositionObject}
         *         Calculated center
         */
        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.
         * @private
         * @param {Highcharts.PositionObject} p1
         *        The x and y coordinates of the first point.
         * @param {Highcharts.PositionObject} p2
         *        The x and y coordinates of the second point.
         * @return {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.
         * @private
         * @param {Highcharts.PositionObject} p1 The first point.
         * @param {Highcharts.PositionObject} p2 The second point.
         * @return {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;
    });
    _registerModule(_modules, 'Mixins/GeometryCircles.js', [_modules['Mixins/Geometry.js']], function (Geometry) {
        /* *
         *
         *  !!!!!!! SOURCE GETS TRANSPILED BY TYPESCRIPT. EDIT TS FILE ONLY. !!!!!!!
         *
         * */
        var getAngleBetweenPoints = Geometry.getAngleBetweenPoints,
            getCenterOfPoints = Geometry.getCenterOfPoints,
            getDistanceBetweenPoints = Geometry.getDistanceBetweenPoints;
        /**
         * @private
         * @param {number} x
         *        Number to round
         * @param {number} decimals
         *        Number of decimals to round to
         * @return {number}
         *         Rounded number
         */
        function round(x, decimals) {
            var a = Math.pow(10,
                decimals);
            return Math.round(x * a) / a;
        }
        /**
         * Calculates the area of a circle based on its radius.
         * @private
         * @param {number} r
         *        The radius of the circle.
         * @return {number}
         *         Returns the area of the circle.
         */
        function getAreaOfCircle(r) {
            if (r <= 0) {
                throw new Error('radius of circle must be a positive number.');
            }
            return Math.PI * r * r;
        }
        /**
         * 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
         * @private
         * @param {number} r
         *        The radius of the circle.
         * @param {number} h
         *        The height of the circular segment.
         * @return {number}
         *         Returns the area of the circular segment.
         */
        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
         * @private
         * @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.
         * @return {number}
         *         Returns the area of overlap between the two circles.
         */
        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) {
                if (d <= Math.abs(r2 - r1)) {
                    // If the circles are completely overlapping, then the overlap
                    // equals the area of the smallest circle.
                    overlap = getAreaOfCircle(r1 < r2 ? r1 : r2);
                }
                else {
                    // Height of first triangle segment.
                    var d1 = (r1 * r1 - r2 * r2 + 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.
         * @private
         * @param {Highcharts.CircleObject} c1
         *        The first circle.
         * @param {Highcharts.CircleObject} c2
         *        The second sircle.
         * @return {Array<Highcharts.PositionObject>}
         *         Returns the resulting intersection points.
         */
        function getCircleCircleIntersection(c1, c2) {
            var d = getDistanceBetweenPoints(c1,
                c2),
                r1 = c1.r,
                r2 = c2.r;
            var 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.
         * @private
         * @param {Array<Highcharts.CircleObject>} circles
         *        The circles to calculate the points from.
         * @return {Array<Highcharts.GeometryObject>}
         *         Returns a list of intersection points.
         */
        function getCirclesIntersectionPoints(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 the first circle is completely overlapping the second circle.
         *
         * @private
         * @param {Highcharts.CircleObject} circle1 The first circle.
         * @param {Highcharts.CircleObject} circle2 The The second circle.
         * @return {boolean} Returns true if circle1 is completely overlapping circle2,
         * false if not.
         */
        function isCircle1CompletelyOverlappingCircle2(circle1, circle2) {
            return getDistanceBetweenPoints(circle1, circle2) + circle2.r <
                circle1.r + 1e-10;
        }
        /**
         * Tests wether a point lies within a given circle.
         * @private
         * @param {Highcharts.PositionObject} point
         *        The point to test for.
         * @param {Highcharts.CircleObject} circle
         *        The circle to test if the point is within.
         * @return {boolean}
         *         Returns true if the point is inside, false if outside.
         */
        function isPointInsideCircle(point, circle) {
            return getDistanceBetweenPoints(point, circle) <= circle.r + 1e-10;
        }
        /**
         * Tests wether a point lies within a set of circles.
         * @private
         * @param {Highcharts.PositionObject} point
         *        The point to test.
         * @param {Array<Highcharts.CircleObject>} circles
         *        The list of circles to test against.
         * @return {boolean}
         *         Returns true if the point is inside all the circles, false if not.
         */
        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.
         * @private
         * @param {Highcharts.PositionObject} point
         *        The point to test.
         * @param {Array<Highcharts.CircleObject>} circles
         *        The list of circles to test against.
         * @return {boolean}
         *         Returns true if the point is outside all the circles, false if not.
         */
        function isPointOutsideAllCircles(point, circles) {
            return !circles.some(function (circle) {
                return isPointInsideCircle(point, circle);
            });
        }
        /**
         * Calculates the points for the polygon of the intersection area between a set
         * of circles.
         *
         * @private
         * @param {Array<Highcharts.CircleObject>} circles
         *        List of circles to calculate polygon of.
         * @return {Array<Highcharts.GeometryObject>} Return list of points in the
         * intersection polygon.
         */
        function getCirclesIntersectionPolygon(circles) {
            return getCirclesIntersectionPoints(circles)
                .filter(function (p) {
                return isPointInsideAllCircles(p, circles);
            });
        }
        /**
         * Calculate the path for the area of overlap between a set of circles.
         * @todo handle cases with only 1 or 0 arcs.
         * @private
         * @param {Array<Highcharts.CircleObject>} circles
         *        List of circles to calculate area of.
         * @return {Highcharts.GeometryIntersectionObject|undefined}
         *         Returns the path for the area of overlap. Returns an empty string if
         *         there are no intersection between all the circles.
         */
        function getAreaOfIntersectionBetweenCircles(circles) {
            var intersectionPoints = getCirclesIntersectionPolygon(circles),
                result;
            if (intersectionPoints.length > 1) {
                // Calculate the center of the intersection points.
                var center_1 = getCenterOfPoints(intersectionPoints);
                intersectionPoints = intersectionPoints
                    // Calculate the angle between the center and the points.
                    .map(function (p) {
                    p.angle = getAngleBetweenPoints(center_1, 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;
                        var width = getDistanceBetweenPoints(midPoint, {
                                x: circle.x + circle.r * Math.sin(angle),
                                y: circle.y + circle.r * Math.cos(angle)
                            });
                        var 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) {
                    // empty
                }
                else if (arcs.length === 1) {
                    // empty
                }
                else {
                    arcs.unshift(['M', startPoint.x, startPoint.y]);
                    result = {
                        center: center_1,
                        d: arcs
                    };
                }
            }
            return result;
        }
        var geometryCircles = {
                getAreaOfCircle: getAreaOfCircle,
                getAreaOfIntersectionBetweenCircles: getAreaOfIntersectionBetweenCircles,
                getCircleCircleIntersection: getCircleCircleIntersection,
                getCirclesIntersectionPoints: getCirclesIntersectionPoints,
                getCirclesIntersectionPolygon: getCirclesIntersectionPolygon,
                getCircularSegmentArea: getCircularSegmentArea,
                getOverlapBetweenCircles: getOverlapBetweenCircles,
                isCircle1CompletelyOverlappingCircle2: isCircle1CompletelyOverlappingCircle2,
                isPointInsideCircle: isPointInsideCircle,
                isPointInsideAllCircles: isPointInsideAllCircles,
                isPointOutsideAllCircles: isPointOutsideAllCircles,
                round: round
            };

        return geometryCircles;
    });
    _registerModule(_modules, 'Mixins/NelderMead.js', [], function () {
        /* *
         *
         *  !!!!!!! SOURCE GETS TRANSPILED BY TYPESCRIPT. EDIT TS FILE ONLY. !!!!!!!
         *
         * */
        /* eslint-disable valid-jsdoc */
        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] = arr.reduce(sum, { sum: 0, i: i }).sum / length;
            }
            return result;
        };
        /**
         * Finds an optimal position for a given point.
         * @todo add unit tests.
         * @todo add constraints to optimize the algorithm.
         * @private
         * @param {Highcharts.NelderMeadTestFunction} fn
         *        The function to test a point.
         * @param {Highcharts.NelderMeadPointArray} initial
         *        The initial point to optimize.
         * @return {Highcharts.NelderMeadPointArray}
         *         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
            /**
             * @private
             */
            var weightedSum = function weightedSum(weight1,
                v1,
                weight2,
                v2) {
                    return v1.map(function (x,
                i) {
                        return weight1 * x + weight2 * v2[i];
                });
            };
            /**
             * @private
             */
            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 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];
        };
        var nelderMeadMixin = {
                getCentroid: getCentroid,
                nelderMead: nelderMead
            };

        return nelderMeadMixin;
    });
    _registerModule(_modules, 'Mixins/DrawPoint.js', [], function () {
        /* *
         *
         *  !!!!!!! SOURCE GETS TRANSPILED BY TYPESCRIPT. EDIT TS FILE ONLY. !!!!!!!
         *
         * */
        var isFn = function (x) {
                return typeof x === 'function';
        };
        /* eslint-disable no-invalid-this, valid-jsdoc */
        /**
         * Handles the drawing of a component.
         * Can be used for any type of component that reserves the graphic property, and
         * provides a shouldDraw on its context.
         *
         * @private
         * @function draw
         * @param {DrawPointParams} params
         *        Parameters.
         *
         * @todo add type checking.
         * @todo export this function to enable usage
         */
        var draw = function draw(params) {
                var _a;
            var component = this,
                graphic = component.graphic,
                animatableAttribs = params.animatableAttribs,
                onComplete = params.onComplete,
                css = params.css,
                renderer = params.renderer,
                animation = (_a = component.series) === null || _a === void 0 ? void 0 : _a.options.animation;
            if (component.shouldDraw()) {
                if (!graphic) {
                    component.graphic = graphic =
                        renderer[params.shapeType](params.shapeArgs)
                            .add(params.group);
                }
                graphic
                    .css(css)
                    .attr(params.attribs)
                    .animate(animatableAttribs, params.isNew ? false : animation, onComplete);
            }
            else if (graphic) {
                var destroy = function () {
                        component.graphic = graphic = graphic.destroy();
                    if (isFn(onComplete)) {
                        onComplete();
                    }
                };
                // animate only runs complete callback if something was animated.
                if (Object.keys(animatableAttribs).length) {
                    graphic.animate(animatableAttribs, void 0, function () {
                        destroy();
                    });
                }
                else {
                    destroy();
                }
            }
        };
        /**
         * An extended version of draw customized for points.
         * It calls additional methods that is expected when rendering a point.
         * @private
         * @param {Highcharts.Dictionary<any>} params Parameters
         */
        var drawPoint = function drawPoint(params) {
                var point = this,
            attribs = params.attribs = params.attribs || {};
            // Assigning class in dot notation does go well in IE8
            // eslint-disable-next-line dot-notation
            attribs['class'] = point.getClassName();
            // Call draw to render component
            draw.call(point, params);
        };
        var drawPointModule = {
                draw: draw,
                drawPoint: drawPoint,
                isFn: isFn
            };

        return drawPointModule;
    });
    _registerModule(_modules, 'Series/Venn/VennPoint.js', [_modules['Mixins/DrawPoint.js'], _modules['Core/Series/SeriesRegistry.js'], _modules['Core/Utilities.js']], function (DrawPointMixin, SeriesRegistry, U) {
        /* *
         *
         *  Imports
         *
         * */
        var __extends = (this && this.__extends) || (function () {
                var extendStatics = function (d,
            b) {
                    extendStatics = Object.setPrototypeOf ||
                        ({ __proto__: [] } instanceof Array && function (d,
            b) { d.__proto__ = b; }) ||
                        function (d,
            b) { for (var p in b) if (b.hasOwnProperty(p)) d[p] = b[p]; };
                return extendStatics(d, b);
            };
            return function (d, b) {
                extendStatics(d, b);
                function __() { this.constructor = d; }
                d.prototype = b === null ? Object.create(b) : (__.prototype = b.prototype, new __());
            };
        })();
        var ScatterSeries = SeriesRegistry.seriesTypes.scatter;
        var extend = U.extend,
            isNumber = U.isNumber;
        /* *
         *
         *  Class
         *
         * */
        var VennPoint = /** @class */ (function (_super) {
                __extends(VennPoint, _super);
            function VennPoint() {
                /* *
                 *
                 *  Properties
                 *
                 * */
                var _this = _super !== null && _super.apply(this,
                    arguments) || this;
                _this.options = void 0;
                _this.series = void 0;
                return _this;
                /* eslint-enable valid-jsdoc */
            }
            /* *
             *
             *  Functions
             *
             * */
            /* eslint-disable valid-jsdoc */
            VennPoint.prototype.isValid = function () {
                return isNumber(this.value);
            };
            VennPoint.prototype.shouldDraw = function () {
                var point = this;
                // Only draw points with single sets.
                return !!point.shapeArgs;
            };
            return VennPoint;
        }(ScatterSeries.prototype.pointClass));
        extend(VennPoint.prototype, {
            draw: DrawPointMixin.drawPoint
        });
        /* *
         *
         *  Default Export
         *
         * */

        return VennPoint;
    });
    _registerModule(_modules, 'Series/Venn/VennUtils.js', [_modules['Mixins/GeometryCircles.js'], _modules['Mixins/Geometry.js'], _modules['Mixins/NelderMead.js'], _modules['Core/Utilities.js']], function (GeometryCirclesModule, GeometryMixin, NelderMeadMixin, U) {
        /* *
         *
         *  Experimental Highcharts module which enables visualization of a Venn
         *  diagram.
         *
         *  (c) 2016-2021 Highsoft AS
         *  Authors: Jon Arild Nygard
         *
         *  Layout algorithm by Ben Frederickson:
         *  https://www.benfrederickson.com/better-venn-diagrams/
         *
         *  License: www.highcharts.com/license
         *
         *  !!!!!!! SOURCE GETS TRANSPILED BY TYPESCRIPT. EDIT TS FILE ONLY. !!!!!!!
         *
         * */
        var getAreaOfCircle = GeometryCirclesModule.getAreaOfCircle,
            getCircleCircleIntersection = GeometryCirclesModule.getCircleCircleIntersection,
            getOverlapBetweenCirclesByDistance = GeometryCirclesModule.getOverlapBetweenCircles,
            isPointInsideAllCircles = GeometryCirclesModule.isPointInsideAllCircles,
            isPointInsideCircle = GeometryCirclesModule.isPointInsideCircle,
            isPointOutsideAllCircles = GeometryCirclesModule.isPointOutsideAllCircles;
        var getDistanceBetweenPoints = GeometryMixin.getDistanceBetweenPoints;
        var extend = U.extend,
            isArray = U.isArray,
            isNumber = U.isNumber,
            isObject = U.isObject,
            isString = U.isString;
        /* *
         *
         *  Namespace
         *
         * */
        var VennUtils;
        (function (VennUtils) {
            /* *
             *
             *  Properties
             *
             * */
            VennUtils.geometry = GeometryMixin;
            VennUtils.geometryCircles = GeometryCirclesModule;
            VennUtils.nelderMead = NelderMeadMixin;
            /* *
             *
             *  Functions
             *
             * */
            /**
             * 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<Highcharts.VennRelationObject>} relations
             * The list of relations that should be sorted.
             * @return {Array<Highcharts.VennRelationObject>}
             * Returns the modified input relations with added properties `totalOverlap`
             * and `overlapping`.
             */
            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;
            }
            VennUtils.addOverlapToSets = addOverlapToSets;
            /**
             * 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.
             * @return {number}
             * Root number.
             */
            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.
             */
            function getDistanceBetweenCirclesByOverlap(r1, r2, overlap) {
                var maxDistance = r1 + r2,
                    distance;
                if (overlap <= 0) {
                    // If overlap is below or equal to zero, then there is no overlap.
                    distance = maxDistance;
                }
                else if (getAreaOfCircle(r1 < r2 ? r1 : r2) <= overlap) {
                    // When area of overlap is larger than the area of the smallest
                    // circle, then it is completely overlapping.
                    distance = 0;
                }
                else {
                    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;
            }
            VennUtils.getDistanceBetweenCirclesByOverlap = getDistanceBetweenCirclesByOverlap;
            /**
             * Finds the available width for a label, by taking the label position and
             * finding the largest distance, which is inside all internal circles, and
             * outside all external circles.
             *
             * @private
             * @param {Highcharts.PositionObject} pos
             * The x and y coordinate of the label.
             * @param {Array<Highcharts.CircleObject>} internal
             * Internal circles.
             * @param {Array<Highcharts.CircleObject>} external
             * External circles.
             * @return {number}
             * Returns available width for the label.
             */
            function getLabelWidth(pos, internal, external) {
                var radius = internal.reduce(function (min,
                    circle) {
                        return Math.min(circle.r,
                    min);
                }, Infinity), 
                // Filter out external circles that are completely overlapping.
                filteredExternals = external.filter(function (circle) {
                    return !isPointInsideCircle(pos, circle);
                });
                var findDistance = function (maxDistance,
                    direction) {
                        return bisect(function (x) {
                            var testPos = {
                                x: pos.x + (direction * x),
                                y: pos.y
                            },
                    isValid = (isPointInsideAllCircles(testPos,
                    internal) &&
                                isPointOutsideAllCircles(testPos,
                    filteredExternals));
                        // If the position is valid, then we want to move towards the
                        // max distance. If not, then we want to  away from the max
                        // distance.
                        return -(maxDistance - x) + (isValid ? 0 : Number.MAX_VALUE);
                    }, 0, maxDistance);
                };
                // Find the smallest distance of left and right.
                return Math.min(findDistance(radius, -1), findDistance(radius, 1)) * 2;
            }
            VennUtils.getLabelWidth = getLabelWidth;
            /**
             * 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 {Highcharts.PositionObject} point
             * The point to evaluate.
             * @param {Array<Highcharts.CircleObject>} internal
             * The internal circles.
             * @param {Array<Highcharts.CircleObject>} external
             * The external circles.
             * @return {number}
             * Returns the margin.
             */
            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;
            }
            VennUtils.getMarginFromCircles = getMarginFromCircles;
            /**
             * Calculates the area of overlap between a list of circles.
             * @private
             * @todo add support for calculating overlap between more than 2 circles.
             * @param {Array<Highcharts.CircleObject>} circles
             * List of circles with their given positions.
             * @return {number}
             * Returns the area of overlap between all the circles.
             */
            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;
            }
            // eslint-disable-next-line require-jsdoc
            function isSet(x) {
                return isArray(x.sets) && x.sets.length === 1;
            }
            VennUtils.isSet = isSet;
            // eslint-disable-next-line require-jsdoc
            function isValidRelation(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;
                    }));
            }
            // eslint-disable-next-line require-jsdoc
            function isValidSet(x) {
                return (isValidRelation(x) && isSet(x) && x.value > 0);
            }
            /**
             * 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.
             */
            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.
                 * @return {void}
                 */
                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.shift(), { 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: distance
                            }, {
                                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: void 0
                    });
                    // Add the set to its final position.
                    positionSet(set, bestPosition.coordinates);
                });
                // Return the positions of each set.
                return mapOfIdToCircles;
            }
            VennUtils.layoutGreedyVenn = layoutGreedyVenn;
            /**
             * Calculates the difference between the desired overlap and the actual
             * overlap between two circles.
             * @private
             * @param {Dictionary<Highcharts.CircleObject>} mapOfIdToCircle
             * Map from id to circle.
             * @param {Array<Highcharts.VennRelationObject>} relations
             * List of relations to calculate the loss of.
             * @return {number}
             * Returns the loss between positions of the circles for the given
             * relations.
             */
            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);
            }
            VennUtils.loss = loss;
            /**
             * 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.
             */
            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 Object
                    .keys(mapOfIdToRelation)
                    .map(function (id) {
                    return mapOfIdToRelation[id];
                });
            }
            VennUtils.processVennData = processVennData;
            /**
             * 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.
             */
            function sortByTotalOverlap(a, b) {
                return b.totalOverlap - a.totalOverlap;
            }
            VennUtils.sortByTotalOverlap = sortByTotalOverlap;
        })(VennUtils || (VennUtils = {}));
        /* *
         *
         *  Default Export
         *
         * */

        return VennUtils;
    });
    _registerModule(_modules, 'Series/Venn/VennSeries.js', [_modules['Core/Animation/AnimationUtilities.js'], _modules['Core/Color/Color.js'], _modules['Mixins/Geometry.js'], _modules['Mixins/GeometryCircles.js'], _modules['Mixins/NelderMead.js'], _modules['Core/Color/Palette.js'], _modules['Core/Series/SeriesRegistry.js'], _modules['Series/Venn/VennPoint.js'], _modules['Series/Venn/VennUtils.js'], _modules['Core/Utilities.js']], function (A, Color, GeometryMixin, GeometryCirclesModule, NelderMeadMixin, palette, SeriesRegistry, VennPoint, VennUtils, U) {
        /* *
         *
         *  Experimental Highcharts module which enables visualization of a Venn
         *  diagram.
         *
         *  (c) 2016-2021 Highsoft AS
         *  Authors: Jon Arild Nygard
         *
         *  Layout algorithm by Ben Frederickson:
         *  https://www.benfrederickson.com/better-venn-diagrams/
         *
         *  License: www.highcharts.com/license
         *
         *  !!!!!!! SOURCE GETS TRANSPILED BY TYPESCRIPT. EDIT TS FILE ONLY. !!!!!!!
         *
         * */
        var __extends = (this && this.__extends) || (function () {
                var extendStatics = function (d,
            b) {
                    extendStatics = Object.setPrototypeOf ||
                        ({ __proto__: [] } instanceof Array && function (d,
            b) { d.__proto__ = b; }) ||
                        function (d,
            b) { for (var p in b) if (b.hasOwnProperty(p)) d[p] = b[p]; };
                return extendStatics(d, b);
            };
            return function (d, b) {
                extendStatics(d, b);
                function __() { this.constructor = d; }
                d.prototype = b === null ? Object.create(b) : (__.prototype = b.prototype, new __());
            };
        })();
        var animObject = A.animObject;
        var color = Color.parse;
        var getCenterOfPoints = GeometryMixin.getCenterOfPoints,
            getDistanceBetweenPoints = GeometryMixin.getDistanceBetweenPoints;
        var getAreaOfCircle = GeometryCirclesModule.getAreaOfCircle,
            getAreaOfIntersectionBetweenCircles = GeometryCirclesModule.getAreaOfIntersectionBetweenCircles,
            getCircleCircleIntersection = GeometryCirclesModule.getCircleCircleIntersection,
            getCirclesIntersectionPolygon = GeometryCirclesModule.getCirclesIntersectionPolygon,
            getOverlapBetweenCirclesByDistance = GeometryCirclesModule.getOverlapBetweenCircles,
            isCircle1CompletelyOverlappingCircle2 = GeometryCirclesModule.isCircle1CompletelyOverlappingCircle2,
            isPointInsideAllCircles = GeometryCirclesModule.isPointInsideAllCircles,
            isPointInsideCircle = GeometryCirclesModule.isPointInsideCircle,
            isPointOutsideAllCircles = GeometryCirclesModule.isPointOutsideAllCircles;
        var nelderMead = NelderMeadMixin.nelderMead;
        var ScatterSeries = SeriesRegistry.seriesTypes.scatter;
        var addEvent = U.addEvent,
            extend = U.extend,
            isArray = U.isArray,
            isNumber = U.isNumber,
            isObject = U.isObject,
            isString = U.isString,
            merge = U.merge;
        /* *
         *
         *  Class
         *
         * */
        /**
         * @private
         * @class
         * @name Highcharts.seriesTypes.venn
         *
         * @augments Highcharts.Series
         */
        var VennSeries = /** @class */ (function (_super) {
                __extends(VennSeries, _super);
            function VennSeries() {
                /* *
                 *
                 *  Static Properties
                 *
                 * */
                var _this = _super !== null && _super.apply(this,
                    arguments) || this;
                /* *
                 *
                 *  Properties
                 *
                 * */
                _this.data = void 0;
                _this.mapOfIdToRelation = void 0;
                _this.options = void 0;
                _this.points = void 0;
                return _this;
                /* eslint-enable valid-jsdoc */
            }
            /* *
             *
             *  Static Functions
             *
             * */
            /**
             * 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<Highcharts.CircleObject>} internal
             * Internal circles.
             * @param {Array<Highcharts.CircleObject>} external
             * External circles.
             * @return {Highcharts.PositionObject}
             * Returns the found position.
             */
            VennSeries.getLabelPosition = function (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 = VennUtils.getMarginFromCircles(point,
                            internal,
                            external);
                        // If the margin better than the current best, then update
                        // sbest.
                        if (best.margin < margin) {
                            best.point = point;
                            best.margin = margin;
                        }
                        return best;
                    }, best);
                }, {
                    point: void 0,
                    margin: -Number.MAX_VALUE
                }).point;
                // Use nelder mead to optimize the initial label position.
                var optimal = nelderMead(function (p) {
                        return -(VennUtils.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.
                    if (internal.length > 1) {
                        best = getCenterOfPoints(getCirclesIntersectionPolygon(internal));
                    }
                    else {
                        best = {
                            x: internal[0].x,
                            y: internal[0].y
                        };
                    }
                }
                // Return the best point.
                return best;
            };
            /**
             * Calulates data label values for a given relations object.
             *
             * @private
             * @todo add unit tests
             * @param {Highcharts.VennRelationObject} relation A relations object.
             * @param {Array<Highcharts.VennRelationObject>} setRelations The list of
             * relations that is a set.
             * @return {Highcharts.VennLabelValuesObject}
             * Returns an object containing position and width of the label.
             */
            VennSeries.getLabelValues = function (relation, setRelations) {
                var sets = relation.sets;
                // Create a list of internal and external circles.
                var data = setRelations.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;
                    var property = isInternal ? 'internal' : 'external';
                    // Add the circle to the list.
                    data[property].push(set.circle);
                    return data;
                }, {
                    internal: [],
                    external: []
                });
                // Filter out external circles that are completely overlapping all
                // internal
                data.external = data.external.filter(function (externalCircle) {
                    return data.internal.some(function (internalCircle) {
                        return !isCircle1CompletelyOverlappingCircle2(externalCircle, internalCircle);
                    });
                });
                // Calulate the label position.
                var position = VennSeries.getLabelPosition(data.internal,
                    data.external);
                // Calculate the label width
                var width = VennUtils.getLabelWidth(position,
                    data.internal,
                    data.external);
                return {
                    position: position,
                    width: width
                };
            };
            /**
             * Calculates the positions, and the label values of all the sets in the
             * venn diagram.
             *
             * @private
             * @todo Add support for constrained MDS.
             * @param {Array<Highchats.VennRelationObject>} relations
             * List of the overlap between two or more sets, or the size of a single
             * sset.
             * @return {Highcharts.Dictionary<*>}
             * List of circles and their calculated positions.
             */
            VennSeries.layout = function (relations) {
                var mapOfIdToShape = {};
                var mapOfIdToLabelValues = {};
                // Calculate best initial positions by using greedy layout.
                if (relations.length > 0) {
                    var mapOfIdToCircles_1 = VennUtils.layoutGreedyVenn(relations);
                    var setRelations_1 = relations.filter(VennUtils.isSet);
                    relations
                        .forEach(function (relation) {
                        var sets = relation.sets;
                        var id = sets.join();
                        // Get shape from map of circles, or calculate intersection.
                        var shape = VennUtils.isSet(relation) ?
                                mapOfIdToCircles_1[id] :
                                getAreaOfIntersectionBetweenCircles(sets.map(function (set) {
                                    return mapOfIdToCircles_1[set];
                            }));
                        // Calculate label values if the set has a shape
                        if (shape) {
                            mapOfIdToShape[id] = shape;
                            mapOfIdToLabelValues[id] = VennSeries.getLabelValues(relation, setRelations_1);
                        }
                    });
                }
                return { mapOfIdToShape: mapOfIdToShape, mapOfIdToLabelValues: mapOfIdToLabelValues };
            };
            /**
             * 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 {Highcharts.PolygonBoxObject} field
             * The playing field.
             * @return {Highcharts.Dictionary<number>}
             * Returns the value to scale the playing field up to the size of the target
             * area, and center of x and y.
             */
            VennSeries.getScale = function (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 {Highcharts.PolygonBoxObject} field
             * The bounding box of a playing field.
             * @param {Highcharts.CircleObject} circle
             * The bounding box for a placed point.
             * @return {Highcharts.PolygonBoxObject}
             * Returns a modified field object.
             */
            VennSeries.updateFieldBoundaries = function (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;
            };
            /* *
             *
             *  Functions
             *
             * */
            /* eslint-disable valid-jsdoc */
            VennSeries.prototype.animate = function (init) {
                if (!init) {
                    var series = this,
                        animOptions = 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);
                }
            };
            /**
             * Draw the graphics for each point.
             * @private
             */
            VennSeries.prototype.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 = {
                            zIndex: isArray(point.sets) ? point.sets.length : 0
                        },
                        shapeArgs = point.shapeArgs;
                    // Add point attribs
                    if (!chart.styledMode) {
                        extend(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'
                    });
                });
            };
            VennSeries.prototype.init = function () {
                ScatterSeries.prototype.init.apply(this, arguments);
                // Venn's opacity is a different option from other series
                delete this.opacity;
            };
            /**
             * Calculates the style attributes for a point. The attributes can vary
             * depending on the state of the point.
             * @private
             * @param {Highcharts.Point} point
             * The point which will get the resulting attributes.
             * @param {string} [state]
             * The state of the point.
             * @return {Highcharts.SVGAttributes}
             * Returns the calculated attributes.
             */
            VennSeries.prototype.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)
                        .brighten(options.brightness)
                        .get(),
                    // Set opacity directly to the SVG element, not to pattern #14372.
                    opacity: options.opacity,
                    'stroke': options.borderColor,
                    'stroke-width': options.borderWidth,
                    'dashstyle': options.borderDashStyle
                };
            };
            VennSeries.prototype.translate = function () {
                var chart = this.chart;
                this.processedXData = this.xData;
                this.generatePoints();
                // Process the data before passing it into the layout function.
                var relations = VennUtils.processVennData(this.options.data);
                // Calculate the positions of each circle.
                var _a = VennSeries.layout(relations),
                    mapOfIdToShape = _a.mapOfIdToShape,
                    mapOfIdToLabelValues = _a.mapOfIdToLabelValues;
                // 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 VennSeries.updateFieldBoundaries(field, mapOfIdToShape[key]);
                }, { top: 0, bottom: 0, left: 0, right: 0 }), scaling = VennSeries.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,
                        dataLabelValues = mapOfIdToLabelValues[id] || {},
                        dataLabelWidth = dataLabelValues.width,
                        dataLabelPosition = dataLabelValues.position,
                        dlOptions = point.options && point.options.dataLabels;
                    if (shape) {
                        if (shape.r) {
                            shapeArgs = {
                                x: centerX + shape.x * scale,
                                y: centerY + shape.y * scale,
                                r: shape.r * scale
                            };
                        }
                        else if (shape.d) {
                            var d = shape.d;
                            d.forEach(function (seg) {
                                if (seg[0] === 'M') {
                                    seg[1] = centerX + seg[1] * scale;
                                    seg[2] = centerY + seg[2] * scale;
                                }
                                else if (seg[0] === 'A') {
                                    seg[1] = seg[1] * scale;
                                    seg[2] = seg[2] * scale;
                                    seg[6] = centerX + seg[6] * scale;
                                    seg[7] = centerY + seg[7] * scale;
                                }
                            });
                            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 = {};
                        }
                        if (isNumber(dataLabelWidth)) {
                            dataLabelWidth = Math.round(dataLabelWidth * scale);
                        }
                    }
                    point.shapeArgs = shapeArgs;
                    // Placement for the data labels
                    if (dataLabelPosition && shapeArgs) {
                        point.plotX = dataLabelPosition.x;
                        point.plotY = dataLabelPosition.y;
                    }
                    // Add width for the data label
                    if (dataLabelWidth && shapeArgs) {
                        point.dlOptions = merge(true, {
                            style: {
                                width: dataLabelWidth
                            }
                        }, isObject(dlOptions) && dlOptions);
                    }
                    // Set name for usage in tooltip and in data label.
                    point.name = point.options.name || sets.join('∩');
                });
            };
            /**
             * 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, dragDrop,
             *               findNearestPointBy, getExtremesFromAll, jitter, label,
             *               linecap, lineWidth, linkedTo, marker, negativeColor,
             *               pointInterval, pointIntervalUnit, pointPlacement,
             *               pointStart, softThreshold, stacking, steps, threshold,
             *               xAxis, yAxis, zoneAxis, zones, dataSorting, boostThreshold,
             *               boostBlending
             * @product      highcharts
             * @requires     modules/venn
             * @optionparent plotOptions.venn
             */
            VennSeries.defaultOptions = merge(ScatterSeries.defaultOptions, {
                borderColor: palette.neutralColor20,
                borderDashStyle: 'solid',
                borderWidth: 1,
                brighten: 0,
                clip: false,
                colorByPoint: true,
                dataLabels: {
                    enabled: true,
                    verticalAlign: 'middle',
                    formatter: function () {
                        return this.point.name;
                    }
                },
                /**
                 * @ignore-option
                 * @private
                 */
                inactiveOtherPoints: true,
                marker: false,
                opacity: 0.75,
                showInLegend: false,
                states: {
                    /**
                     * @excluding halo
                     */
                    hover: {
                        opacity: 1,
                        borderColor: palette.neutralColor80
                    },
                    /**
                     * @excluding halo
                     */
                    select: {
                        color: palette.neutralColor20,
                        borderColor: palette.neutralColor100,
                        animation: false
                    },
                    inactive: {
                        opacity: 0.075
                    }
                },
                tooltip: {
                    pointFormat: '{point.name}: {point.value}'
                }
            });
            return VennSeries;
        }(ScatterSeries));
        extend(VennSeries.prototype, {
            axisTypes: [],
            directTouch: true,
            isCartesian: false,
            pointArrayMap: ['value'],
            pointClass: VennPoint,
            utils: VennUtils
        });
        SeriesRegistry.registerSeriesType('venn', VennSeries);
        /* *
         *
         *  Default Export
         *
         * */
        /* *
         *
         *  API Options
         *
         * */
        /**
         * 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, dataSorting,
         *            boostThreshold, boostBlending
         * @product   highcharts
         * @requires  modules/venn
         * @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
         */
        /**
         * @excluding halo
         * @apioption series.venn.states.hover
         */
        /**
         * @excluding halo
         * @apioption series.venn.states.select
         */
        ''; // detach doclets above
        /* eslint-disable no-invalid-this */
        // Modify final series options.
        addEvent(VennSeries, 'afterSetOptions', function (e) {
            var options = e.options,
                states = options.states;
            if (this.is('venn')) {
                // Explicitly disable all halo options.
                Object.keys(states).forEach(function (state) {
                    states[state].halo = false;
                });
            }
        });

        return VennSeries;
    });
    _registerModule(_modules, 'masters/modules/venn.src.js', [], function () {


    });
}));