import { Tuple4 } from './tuple4';
import { Point3 } from './point3';
import { Vector3 } from './vector3';
/**
 * A point with 4 coordinates: x, y, z, and w.
 */
export declare class Point4 extends Tuple4 {
    /**
     * Constructs a new point from a specified 3D point.
     * @param p the 3D point.
     */
    static FromPoint3(p: Point3): Point4;
    /**
     * Constructs a new point.
     * @param x the x-coordinate.
     * @param y the y-coordinate.
     * @param z the z-coordinate.
     * @param w the w-coordinate.
     */
    constructor(x: number, y: number, z: number, w: number);
    /**
     * Returns the point q = p + v for this point p and specified vector v.
     * @param v the vector v.
     * @returns the point q = p + v.
     */
    plus(v: Vector3): Point4;
    /**
     * Returns the point q = p - v for this point p and specified vector v.
     * @param v the vector v.
     * @returns the point q = p - v.
     */
    minus(v: Vector3): Point4;
    /**
     * Moves this point p by adding the specified vector v.
     * @param v the vector v.
     * @returns a reference to this point q += v, moved.
     */
    plusEquals(v: Vector3): this;
    /**
     * Moves this point p by subtracting the specified vector v
     * @param v the vector v.
     * @returns a reference to this point q -= v, moved.
     */
    minusEquals(v: Vector3): this;
    /**
     * Returns the homogenized point equivalent to this point.
     * Homogenization is division of the coordinates (x, y, z, w) by w.
     * @returns the homogenized point.
     */
    homogenize(): Point4;
    /**
     * Homogenizes this point.
     * Homogenization is division of the coordinates (x, y, z, w) by w.
     * @returns a reference to this point, homogenized.
     */
    homogenizeEquals(): this;
    /**
     * Returns an affine combination of this point p and the specified point q.
     * @param a the weight of the point q.
     * @param q the point q.
     * @returns the affine combination (1 - a) * p + a * q.
     */
    affine(a: number, q: Point4): Point4;
}