import { Matrix44 } from './matrix44';
import { Vector3 } from './vector3';
import { Tuple4 } from './tuple4';
/**
 * A quaternion.
 *
 * Quaternions are vector-like objects of the form w + xi + yj + zk, where
 * w, x, y, and z are real numbers and i, j, and k are imaginary units.
 */
export declare class Quaternion extends Tuple4 {
    /**
     * Constructs a new quaternion from euler angles of rotation.
     * @param angleX the angle of rotation in the x-axis.
     * @param angleY the angle of rotation in the y-axis.
     * @param angleZ the angle of rotation in the z-axis.
     */
    static FromEulerAngles(angleX: number, angleY: number, angleZ: number): Quaternion;
    /**
     * Constructs a new quaternion from a specified matrix.
     * @param mat the matrix.
     */
    static FromMatrix(mat: Matrix44): Quaternion;
    /**
     * Constructs a copy of a specified quaternion.
     * @param q the quaternion.
     */
    static FromQuaternion(q: Quaternion): Quaternion;
    /**
     * Constructs a new quaternion.
     * @param x the x-component.
     * @param y the y-component.
     * @param z the z-component.
     * @param w the w-component.
     */
    constructor(x: number, y: number, z: number, w: number);
    /**
     * Gets the length of this quaternion, squared.
     * @returns the length of this quaternion, squared.
     */
    get lengthSquared(): number;
    /**
     * Gets the length of this quaternion.
     * @returns the length of this quaternion.
     */
    get length(): number;
    /**
     * Adds a specified quaternion to this quaternion.
     * @param q the quaternion to add.
     * @returns a reference to this quaternion, updated.
     */
    plusEquals(q: Quaternion): this;
    /**
     * Returns the quaternion y = x + q for this quaternion x and specified quaternion q.
     * @param q the quaternion q.
     * @returns the quaternion y = x + q.
     */
    plus(q: Quaternion): Quaternion;
    /**
     * Subtracts a specified quaternion from this quaternion.
     * @param q the quaternion to subtract.
     * @returns a reference to this quaternion, updated.
     */
    minusEquals(q: Quaternion): this;
    /**
     * Returns the quaternion y = x - q for this quaternion x and specified quaternion q.
     * @param q the quaternion q.
     * @returns the quaternion y = x - q.
     */
    minus(q: Quaternion): Quaternion;
    /**
     * Computes the multiplicative inverse with another quaternion.
     * @param q the quaternion.
     * @returns the multiplicative inverse.
     */
    timesInverse(q: Quaternion): Quaternion;
    /**
     * Multiplies this quaternion by a specified factor.
     * @param q the multiplication factor.
     * @returns the result.
     */
    times(q: Quaternion | Vector3 | number): (Quaternion | Vector3);
    /**
     * Returns the normalized version of this quaternion.
     * @returns this quaternion, normalized.
     */
    normalize(): Quaternion;
    /**
     * Computes the dot product of this quaternion with a specified quaternion.
     * @param q the quaternion.
     * @returns the dot product.
     */
    dot(q: Quaternion): number;
    /**
     * Returns this quaternion as a vector in the Euler space.
     * @returns this quaternion as an Euler vector.
     */
    toEuler(): Vector3;
    /**
     * Returns this quaternion as a matrix.
     * @returns the matrix.
     */
    toMatrix(): Matrix44;
    /**
     * Returns this quaternion as a rotational matrix.
     * @returns the rotational matrix.
     */
    toRotationMatrix(): Matrix44;
    private rotateVector;
}