mint/app/public/js/Highstock-8.0.0/code/es-modules/modules/venn.src.js

/* *
 *
 *  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
 *
 *  !!!!!!! SOURCE GETS TRANSPILED BY TYPESCRIPT. EDIT TS FILE ONLY. !!!!!!!
 *
 * */
'use strict';
import H from '../parts/Globals.js';
import draw from '../mixins/draw-point.js';
import geometry from '../mixins/geometry.js';
import GeometryCircleMixin from '../mixins/geometry-circles.js';
var getAreaOfCircle = GeometryCircleMixin.getAreaOfCircle, getAreaOfIntersectionBetweenCircles = GeometryCircleMixin.getAreaOfIntersectionBetweenCircles, getCircleCircleIntersection = GeometryCircleMixin.getCircleCircleIntersection, getCirclesIntersectionPolygon = GeometryCircleMixin.getCirclesIntersectionPolygon, getOverlapBetweenCirclesByDistance = GeometryCircleMixin.getOverlapBetweenCircles, isCircle1CompletelyOverlappingCircle2 = GeometryCircleMixin.isCircle1CompletelyOverlappingCircle2, isPointInsideAllCircles = GeometryCircleMixin.isPointInsideAllCircles, isPointInsideCircle = GeometryCircleMixin.isPointInsideCircle, isPointOutsideAllCircles = GeometryCircleMixin.isPointOutsideAllCircles;
import NelderMeadModule from '../mixins/nelder-mead.js';
// TODO: replace with individual imports
var nelderMead = NelderMeadModule.nelderMead;
import U from '../parts/Utilities.js';
var animObject = U.animObject, isArray = U.isArray, isNumber = U.isNumber, isObject = U.isObject, isString = U.isString;
import '../parts/Series.js';
var addEvent = H.addEvent, color = H.Color, extend = H.extend, getCenterOfPoints = geometry.getCenterOfPoints, getDistanceBetweenPoints = geometry.getDistanceBetweenPoints, merge = H.merge, seriesType = H.seriesType, seriesTypes = H.seriesTypes;
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<Highcharts.CircleObject>} 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 {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.
 */
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.
 * @return {number}
 * Root number.
 */
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;
    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;
};
var isSet = function (x) {
    return isArray(x.sets) && x.sets.length === 1;
};
/**
 * 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.
 */
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<Highcharts.CircleObject>} internal
 * Internal circles.
 * @param {Array<Highcharts.CircleObject>} external
 * External circles.
 * @return {Highcharts.PositionObject}
 * 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: void 0,
        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.
        if (internal.length > 1) {
            best = getCenterOfPoints(getCirclesIntersectionPolygon(internal));
        }
        else {
            best = {
                x: internal[0].x,
                y: internal[0].y
            };
        }
    }
    // Return the best point.
    return best;
};
/**
 * 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.
 */
var getLabelWidth = 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;
};
/**
 * 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.
 */
function getLabelValues(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 = getLabelPosition(data.internal, data.external);
    // Calculate the label width
    var width = getLabelWidth(position, data.internal, data.external);
    return {
        position: position,
        width: width
    };
}
/**
 * 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`.
 */
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.
     * @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;
};
/**
 * 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 set.
 * @return {Highcharts.Dictionary<*>}
 * List of circles and their calculated positions.
 */
function layout(relations) {
    var mapOfIdToShape = {};
    var mapOfIdToLabelValues = {};
    // Calculate best initial positions by using greedy layout.
    if (relations.length > 0) {
        var mapOfIdToCircles_1 = layoutGreedyVenn(relations);
        var setRelations_1 = relations.filter(isSet);
        relations
            .forEach(function (relation) {
            var sets = relation.sets;
            var id = sets.join();
            // Get shape from map of circles, or calculate intersection.
            var shape = 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] = getLabelValues(relation, setRelations_1);
            }
        });
    }
    return { mapOfIdToShape: mapOfIdToShape, mapOfIdToLabelValues: mapOfIdToLabelValues };
}
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 {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.
 */
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 {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.
 */
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, dragDrop,
 *               findNearestPointBy, getExtremesFromAll, jitter, label, linecap,
 *               lineWidth, linkedTo, marker, negativeColor, pointInterval,
 *               pointIntervalUnit, pointPlacement, pointStart, softThreshold,
 *               stacking, steps, threshold, xAxis, yAxis, zoneAxis, zones
 * @product      highcharts
 * @requires     modules/venn
 * @optionparent plotOptions.venn
 */
var vennOptions = {
    borderColor: '#cccccc',
    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: '#333333'
        },
        /**
         * @excluding halo
         */
        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 _a = 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 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, 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) {
                    // 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 = {};
                }
                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('∩');
        });
    },
    /* eslint-disable valid-jsdoc */
    /**
     * 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 = {
                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'
            });
        });
    },
    /**
     * 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.
     */
    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
        };
    },
    /* eslint-enable valid-jsdoc */
    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);
            series.animate = null;
        }
    },
    utils: {
        addOverlapToSets: addOverlapToSets,
        geometry: geometry,
        geometryCircles: GeometryCircleMixin,
        getLabelWidth: getLabelWidth,
        getMarginFromCircles: getMarginFromCircles,
        getDistanceBetweenCirclesByOverlap: getDistanceBetweenCirclesByOverlap,
        layoutGreedyVenn: layoutGreedyVenn,
        loss: loss,
        nelderMead: NelderMeadModule,
        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
 * @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
 */
/**
 * @private
 * @class
 * @name Highcharts.seriesTypes.venn
 *
 * @augments Highcharts.Series
 */
seriesType('venn', 'scatter', vennOptions, vennSeries, vennPoint);
/* eslint-disable no-invalid-this */
// Modify final series options.
addEvent(seriesTypes.venn, 'afterSetOptions', function (e) {
    var options = e.options, states = options.states;
    if (this instanceof seriesTypes.venn) {
        // Explicitly disable all halo options.
        Object.keys(states).forEach(function (state) {
            states[state].halo = false;
        });
    }
});