type Area = {
    sets: (string | number)[];
    size: number;
    weight?: number;
    label?: string;
};
type CircleRecord = Record<string | number, Circle$1>;
type Circle$1 = {
    x: number;
    y: number;
    rowid?: number;
    size?: number;
    radius: number;
    parent?: Circle$1;
    setid?: string;
};
type Params = {
    lossFunction?: (sets: CircleRecord, overlaps: Area[]) => number;
    initialLayout?: (areas: Area[], params: Params) => CircleRecord;
    restarts?: number;
    maxIterations?: number;
    history?: {
        x: number[];
    }[];
};
/** given a list of set objects, and their corresponding overlaps.
updates the (x, y, radius) attribute on each set such that their positions
roughly correspond to the desired overlaps */
declare function venn(areas: Area[], parameters?: Params): CircleRecord;
/** Returns the distance necessary for two circles of radius r1 + r2 to
have the overlap area 'overlap' */
declare function distanceFromIntersectArea(r1: number, r2: number, overlap: number): number;
declare function getDistanceMatrices(areas: Area[], sets: Area[], setids: Record<string, number>): {
    distances: number[][];
    constraints: number[][];
};
declare function bestInitialLayout(areas: Area[], params: Params): CircleRecord;
declare function constrainedMDSLayout(areas: Area[], params: Params): CircleRecord;
/** Lays out a Venn diagram greedily, going from most overlapped sets to
least overlapped, attempting to position each new set such that the
overlapping areas to already positioned sets are basically right */
declare function greedyLayout(areas: Area[], params?: any): CircleRecord;
/** Given a bunch of sets, and the desired overlaps between these sets - computes
the distance from the actual overlaps to the desired overlaps. Note that
this method ignores overlaps of more than 2 circles */
declare function lossFunction(sets: CircleRecord, overlaps: Area[]): number;
declare function disjointCluster(circles: Circle$1[]): Circle$1[][];
declare function normalizeSolution(solution: Record<string | number, Circle$1>, orientation?: number, orientationOrder?: (a: Circle$1, b: Circle$1) => number): CircleRecord;
/** Scales a solution from venn.venn or venn.greedyLayout such that it fits in
a rectangle of width/height - with padding around the borders. also
centers the diagram in the available space at the same time */
declare function scaleSolution(solution: CircleRecord, width: number, height: number, padding: number): CircleRecord;

type Point = {
    x: number;
    y: number;
    angle?: number;
};
type IntersectionPoint = Point & {
    parentIndex: [number, number];
};
type Circle = {
    radius: number;
    x: number;
    y: number;
};
type Arc = {
    width: number;
    p1: IntersectionPoint | Point;
    p2: IntersectionPoint | Point;
    circle: Circle;
};
/** Returns the intersection area of a bunch of circles (where each circle
 is an object having an x,y and radius property) */
declare function intersectionArea(circles: Circle[]): {
    overlap: number;
    stats: {
        area: number;
        arcArea: number;
        polygonArea: number;
        arcs: Arc[];
        innerPoints: IntersectionPoint[];
        intersectionPoints: IntersectionPoint[];
    };
};
/** returns whether a point is contained by all of a list of circles */
declare function containedInCircles(point: Point, circles: Circle[]): boolean;
/** Circular segment area calculation. See http://mathworld.wolfram.com/CircularSegment.html */
declare function circleArea(r: number, width: number): number;
/** euclidean distance between two points */
declare function distance(p1: Point, p2: Point): number;
/** Returns the overlap area of two circles of radius r1 and r2 - that
have their centers separated by distance d. Simpler faster
circle intersection for only two circles */
declare function circleOverlap(r1: number, r2: number, d: number): number;
/** Given two circles (containing a x/y/radius attributes),
returns the intersecting points if possible.
note: doesn't handle cases where there are infinitely many
intersection points (circles are equivalent):, or only one intersection point*/
declare function circleCircleIntersection(p1: Circle, p2: Circle): {
    x: number;
    y: number;
}[];
/** Returns the center of a bunch of points */
declare function getCenter(points: Point[]): Point;

type Options = {
    orientation: number;
    width: number;
    height: number;
    padding: number;
    normalize: boolean;
};
declare function chartVega(data: Area[], options: Options): {
    circles: {
        set: string;
        x: number;
        y: number;
        size: number;
        text: string;
        textX: number;
        textY: number;
    }[];
    intersections: ({
        sets: Area;
        path: string;
        text: string;
    } | null)[];
    schema: {
        $schema: string;
        width: number;
        height: number;
        padding: number;
        data: ({
            name: string;
            values: {
                set: string;
                x: number;
                y: number;
                size: number;
                text: string;
                textX: number;
                textY: number;
            }[];
        } | {
            name: string;
            values: ({
                sets: Area;
                path: string;
                text: string;
            } | null)[];
        })[];
        scales: {
            name: string;
            type: string;
            domain: {
                data: string;
                field: string;
            };
            range: string;
        }[];
        marks: ({
            type: string;
            from: {
                data: string;
            };
            encode: {
                enter: {
                    x: {
                        field: string;
                    };
                    y: {
                        field: string;
                    };
                    size: {
                        field: string;
                    };
                    shape: {
                        value: string;
                    };
                    fillOpacity: {
                        value: number;
                    };
                    fill: {
                        scale: string;
                        field: string;
                        value?: undefined;
                    };
                    tooltip: {
                        field: string;
                        type: string;
                    }[];
                    path?: undefined;
                    text?: undefined;
                    fontSize?: undefined;
                    fontWeight?: undefined;
                };
                hover: {
                    fillOpacity: {
                        value: number;
                    };
                    stroke?: undefined;
                    strokeWidth?: undefined;
                    fill?: undefined;
                };
                update: {
                    fillOpacity: {
                        value: number;
                    };
                    strokeWidth?: undefined;
                };
            };
        } | {
            type: string;
            from: {
                data: string;
            };
            encode: {
                enter: {
                    path: {
                        field: string;
                    };
                    fill: {
                        value: string;
                        scale?: undefined;
                        field?: undefined;
                    };
                    fillOpacity: {
                        value: number;
                    };
                    tooltip: {
                        field: string;
                        type: string;
                    }[];
                    x?: undefined;
                    y?: undefined;
                    size?: undefined;
                    shape?: undefined;
                    text?: undefined;
                    fontSize?: undefined;
                    fontWeight?: undefined;
                };
                hover: {
                    stroke: {
                        value: string;
                    };
                    strokeWidth: {
                        value: number;
                    };
                    fill: {
                        value: string;
                    };
                    fillOpacity?: undefined;
                };
                update: {
                    strokeWidth: {
                        value: number;
                    };
                    fillOpacity?: undefined;
                };
            };
        } | {
            type: string;
            from: {
                data: string;
            };
            encode: {
                enter: {
                    x: {
                        field: string;
                    };
                    y: {
                        field: string;
                    };
                    text: {
                        field: string;
                    };
                    fontSize: {
                        value: number;
                    };
                    fill: {
                        scale: string;
                        field: string;
                        value?: undefined;
                    };
                    fontWeight: {
                        value: string;
                    };
                    size?: undefined;
                    shape?: undefined;
                    fillOpacity?: undefined;
                    tooltip?: undefined;
                    path?: undefined;
                };
                hover?: undefined;
                update?: undefined;
            };
        })[];
    };
};
declare function intersectionAreaPath(circles: Circle$1[]): string;
declare function circlePath(x: number, y: number, r: number): string;
type TextCenterRecord = ReturnType<typeof computeTextCentres>;
declare function computeTextCentres(circles: CircleRecord, areas: Area[]): Record<string | number, {
    x: number;
    y: number;
    disjoint?: boolean;
}>;
declare function computeTextCentre(interior: Circle$1[], exterior: Circle$1[]): {
    x: number;
    y: number;
    disjoint?: boolean;
};

export { type Area, type Circle$1 as Circle, type CircleRecord, type TextCenterRecord, bestInitialLayout, chartVega, circleArea, circleCircleIntersection, circleOverlap, circlePath, computeTextCentre, computeTextCentres, constrainedMDSLayout, containedInCircles, disjointCluster, distance, distanceFromIntersectArea, getCenter, getDistanceMatrices, greedyLayout, intersectionArea, intersectionAreaPath, lossFunction, normalizeSolution, scaleSolution, venn };