import { Vector } from "./vector";
/**
 * A vertex (or point) in two dimensional space.
 */
export declare class Vertex {
    /**
     * The precision threshold for comparing vertices. If the difference in axis coordinates between two vertices are both less
     * than this value, they are considered to be equivalent. This is to mitigate small error margins that are to be expected for
     * floating point operations.
     */
    static PRECISION_THRESHOLD: number;
    /**
     * The x-coordinate of the vertex.
     */
    x: number;
    /**
     * The y-coordinate of the vertex.
     */
    y: number;
    /**
     * Constructs a vertex with specified coordinates.
     * @param x The x-coordinate of the vertex, 0 by default.
     * @param y The y-coordinate of the vertex, 0 by default.
     */
    constructor(x?: number, y?: number);
    /**
     * Constructs a new Vertex object with the same properties of this one.
     * @returns A new Vertex object.
     */
    copy(): Vertex;
    /**
     * Creates a user-friendly formatted string for the vertex. Elements are contained in parenthesis, separated by
     * commas and formatted with 3 decimal digits.
     * @returns A formatted string representing the vertex.
     */
    toString(): string;
    /**
     * Converts this vertex to a vector with x and y proportions equal to the vertex coordinates.
     * @returns This vertex as a vector.
     */
    toVector(): Vector;
    /**
     * Translates the vertex by some amount along both axes.
     * @param x The translation along the x-axis, 0 by default.
     * @param y The translation along the y-axis, 0 by default.
     * @returns The vertex after translation.
     */
    translate(x?: number, y?: number): Vertex;
    /**
     * Translates a vertex by some amount along both axes.
     * @param vertex The vertex to translate.
     * @param x The translation along the x-axis, 0 by default.
     * @param y The translation along the y-axis, 0 by default.
     * @returns A new translated vertex.
     */
    static translate(vertex: Vertex, x?: number, y?: number): Vertex;
    /**
     * Scales the distance between the vertex and some control point.
     * @param factor The scaling factor.
     * @param control The point from which to scale the vertex, the origin by default.
     * @returns The vertex after scaling.
     */
    scale(factor: number, control?: Vertex): Vertex;
    /**
     * Scales the distance between a vertex and some control point.
     * @param vertex The vertex to scale.
     * @param factor The scaling factor.
     * @param control The point from which to scale the vertex, the origin by default.
     * @returns A new scaled vertex.
     */
    static scale(vertex: Vertex, factor: number, control?: Vertex): Vertex;
    /**
     * Rotates the vertex around some control point.
     * @param angle The amount to rotate the vertex by in radians.
     * @param control The point from which to rotate the vertex, the origin by default.
     * @returns The vertex after rotation.
     */
    rotate(angle: number, control?: Vertex): Vertex;
    /**
     * Rotates a vertex around some control point.
     * @param vertex The vertex to rotate.
     * @param angle The amount to rotate the vertex by in radians.
     * @param control The point from which to rotate the vertex, the origin by default.
     * @returns A new rotated vertex.
     */
    static rotate(vertex: Vertex, angle: number, control?: Vertex): Vertex;
    /**
     * Reflects the vertex along an axis projected from some control point.
     * @param axis The axis along which to reflect the vertex.
     * @param control The point from which to project the axis for reflection, the origin by default.
     * @returns The vertex after reflection.
     */
    reflect(axis: Vector, control?: Vertex): Vertex;
    /**
     * Reflects a vertex along an axis projected from some control point.
     * @param vertex The vertex to reflect.
     * @param axis The axis along which to reflect the vertex.
     * @param control The point from which to project the axis for reflection, the origin by default.
     * @returns A new reflected vertex.
     */
    static reflect(vertex: Vertex, axis: Vector, control?: Vertex): Vertex;
    /**
     * Calculates the distance from this to another vertex.
     * @param vertex The vertex to calculate the distance to.
     * @returns The distance to the other vertex.
     */
    distanceTo(vertex: Vertex): number;
    /**
     * Calculates the distance between two vertices.
     * @param vertexA The first vertex.
     * @param vertexB The second vertex.
     * @returns The distance between the vertices.
     */
    static distanceBetween(vertexA: Vertex, vertexB: Vertex): number;
    /**
     * Calculates the angle from this to another vertex, with respect to a reference heading.
     * @param vertex The vertex to calculate the angle to.
     * @param heading The reference heading angle from this vertex measured in radians from the positive x-axis, 0 radians by default.
     * @returns The angle to the other vertex.
     */
    angleTo(vertex: Vertex, heading: number): number;
    /**
     * Determines whether this vertex is equivalent to another vertex. Vertices are considered equivalent if the difference in
     * their axis coordinates are both less than the PRECISION_THRESHOLD set for the Vertex class.
     * @param vertex The vertex to compare to this one.
     * @returns True if the this vertex is equivalent to the other vertex, false otherwise.
     */
    isEquivalentTo(vertex: Vertex): Boolean;
    /**
     * Calculates the angle between two vertices.
     * @param vertexA The first vertex.
     * @param vertexB The second vertex.
     * @param heading The reference heading angle from the first vertex measured in radians from the positive x-axis, 0 radians by default.
     * @returns The angle between the vertices.
     */
    static angleBetween(vertexA: Vertex, vertexB: Vertex, heading: number): number;
    /**
     * Calculates the arithmetic mean vertex of a collection of vertices.
     * @param vertices The vertices to calculate the arithmetic mean for as an array.
     * @returns The arithmetic mean vertex of the vertices.
     */
    static mean(vertices: Vertex[]): Vertex;
}
/**
 * Shorthand constructor for a Vertex object.
 * @param x The x-coordinate of the vertex, 0 by default.
 * @param y The y-coordinate of the vertex, 0 by default.
 * @returns A new Vertex instance.
 */
export declare function vtx(x?: number, y?: number): Vertex;