// Type definitions for Bezier.js
// Project: https://github.com/Pomax/bezierjs
// Definitions by: Dan Marshall <https://github.com/danmarshall>
// Definitions: https://github.com/DefinitelyTyped/DefinitelyTyped
declare module BezierJs {
    interface Point {
        x: number;
        y: number;
        z?: number;
    }
    interface Projection extends Point {
        t?: number;
        d?: number;
    }
    interface Inflection {
        x: number[];
        y: number[];
        z?: number[];
        values: number[];
    }
    interface Offset extends Point {
        c: Point;
        n: Point;
    }
    interface Pair {
        left: Bezier;
        right: Bezier;
    }
    interface Split extends Pair {
        span: Point[];
        _t1?: number;
        _t2?: number;
    }
    interface MinMax {
        min: number;
        mid?: number;
        max: number;
        size?: number;
    }
    interface BBox {
        x: MinMax;
        y: MinMax;
        z?: MinMax;
    }
    interface Line {
        p1: Point;
        p2: Point;
    }
    interface Arc extends Point {
        e: number;
        r: number;
        s: number;
    }
    interface Shape {
        startcap: BezierCap;
        forward: Bezier;
        back: Bezier;
        endcap: BezierCap;
        bbox: BBox;
        intersections: (shape: Shape) => string[][] | number[][];
    }
    interface ABC {
        A: Point;
        B: Point;
        C: Point;
    }
    interface Closest {
        mdist: number;
        mpos: number;
    }
    /**
     * Bezier curve constructor. The constructor argument can be one of three things:
     *
     * 1. array/4 of {x:..., y:..., z:...}, z optional
     * 2. numerical array/8 ordered x1,y1,x2,y2,x3,y3,x4,y4
     * 3. numerical array/12 ordered x1,y1,z1,x2,y2,z2,x3,y3,z3,x4,y4,z4
     *
     */
    class Bezier {
        private _linear;
        clockwise: boolean;
        _3d: boolean;
        _t1: number;
        _t2: number;
        _lut: Point[];
        dpoints: Point[][];
        order: number;
        points: Point[];
        dims: string[];
        dimlen: number;
        constructor(points: Point[]);
        constructor(coords: number[]);
        constructor(x1: number, y1: number, x2: number, y2: number, x3: number, y3: number, x4?: number, y4?: number);
        constructor(p1: Point, p2: Point, p3: Point, p4?: Point);
        static fromSVG(svgString: string): Bezier;
        static getABC(n: number, S: Point, B: Point, E: Point, t: number): ABC;
        static quadraticFromPoints(p1: Point, p2: Point, p3: Point, t: number): Bezier;
        static cubicFromPoints(S: Point, B: Point, E: Point, t: number, d1: number): Bezier;
        static getUtils(): typeof utils;
        getUtils(): typeof utils;
        valueOf(): string;
        toString(): string;
        toSVG(): string;
        update(): void;
        computedirection(): void;
        length(): number;
        getLUT(steps?: number): Point[];
        on(point: Point, error: number): number;
        project(point: Point): Projection;
        get(t: number): Point;
        point(idx: number): Point;
        compute(t: number): Point;
        raise(): Bezier;
        derivative(t: number): Point;
        inflections(): number[];
        normal(t: number): Point;
        private __normal2(t);
        private __normal3(t);
        private __normal(t);
        hull(t: number): Point[];
        split(t1: number): Split;
        split(t1: number, t2: number): Bezier;
        extrema(): Inflection;
        bbox(): BBox;
        overlaps(curve: Bezier): boolean;
        offset(t: number, d?: number): Offset | Bezier[];
        simple(): boolean;
        reduce(): Bezier[];
        scale(d: Function): Bezier;
        scale(d: number): Bezier;
        outline(d1: number, d2?: number, d3?: number, d4?: number): PolyBezier;
        outlineshapes(d1: number, d2: number, curveIntersectionThreshold?: number): Shape[];
        intersects(curve: Bezier, curveIntersectionThreshold?: number): string[] | number[];
        intersects(curve: Line): string[] | number[];
        lineIntersects(line: Line): number[];
        selfintersects(curveIntersectionThreshold?: number): string[];
        curveintersects(c1: Bezier[], c2: Bezier[], curveIntersectionThreshold?: number): string[];
        arcs(errorThreshold?: number): Arc[];
        private _error(pc, np1, s, e);
        private _iterate(errorThreshold, circles);
    }
    class BezierCap extends Bezier {
        virtual: boolean;
    }
}
declare module BezierJs.utils {
    var Tvalues: number[];
    var Cvalues: number[];
    function arcfn(t: number, derivativeFn: Function): number;
    function between(v: number, m: number, M: number): boolean;
    function approximately(a: number, b: number, precision?: number): boolean;
    function length(derivativeFn: Function): number;
    function map(v: number, ds: number, de: number, ts: number, te: number): number;
    function lerp(r: number, v1: Point, v2: Point): Point;
    function pointToString(p: Point): string;
    function pointsToString(points: Point[]): string;
    function copy(obj: Object): any;
    function angle(o: Point, v1: Point, v2: Point): number;
    function round(v: number, d: number): number;
    function dist(p1: Point, p2: Point): number;
    function closest(LUT: Point[], point: Point): Closest;
    function abcratio(t: number, n: number): number;
    function projectionratio(t: number, n: number): number;
    function lli8(x1: number, y1: number, x2: number, y2: number, x3: number, y3: number, x4: number, y4: number): Point;
    function lli4(p1: Point, p2: Point, p3: Point, p4: Point): Point;
    function lli(v1: Offset, v2: Offset): Point;
    function makeline(p1: Point, p2: Point): Bezier;
    function findbbox(sections: Bezier[]): BBox;
    function shapeintersections(s1: Shape, bbox1: BBox, s2: Shape, bbox2: BBox, curveIntersectionThreshold?: number): string[][] | number[][];
    function makeshape(forward: Bezier, back: Bezier, curveIntersectionThreshold?: number): Shape;
    function getminmax(curve: Bezier, d: string, list: number[]): MinMax;
    function align(points: Point[], line: Line): Point[];
    function roots(points: Point[], line: Line): number[];
    function droots(p: number[]): number[];
    function inflections(points: Point[]): number[];
    function bboxoverlap(b1: BBox, b2: BBox): boolean;
    function expandbox(bbox: BBox, _bbox: BBox): void;
    function pairiteration(c1: Bezier, c2: Bezier, curveIntersectionThreshold?: number): string[];
    function getccenter(p1: Point, p2: Point, p3: Point): Arc;
}
declare module BezierJs {
    /**
     * Poly Bezier
     * @param {[type]} curves [description]
     */
    class PolyBezier {
        curves: Bezier[];
        private _3d;
        points: Point[];
        constructor(curves: Bezier[]);
        valueOf(): string;
        toString(): string;
        addCurve(curve: Bezier): void;
        length(): number;
        curve(idx: number): Bezier;
        bbox(): BBox;
        offset(d: number): PolyBezier;
    }
}