/**
 * A 4x4 matrix.
 */
import { Vector3 } from './vector3';
import { Point3 } from './point3';
import { Point4 } from './point4';
export declare class Matrix44 {
    private _m;
    /**
     * Constructs an identity matrix.
     */
    static AsIdentity(): Matrix44;
    /**
     * Constructs a new matrix from an array(16) of values.
     * @param arr an array of values.
     * @param columnMajorOrder true, if array is organized in column-major order; false, if row-major order.
     */
    static FromArray(arr: number[], columnMajorOrder?: boolean): Matrix44;
    /**
     * Constructs a new matrix from another.
     * @param mat a matrix.
     */
    static FromMatrix44(mat: Matrix44): Matrix44;
    /**
     * Constructs a matrix with specified elements.
     * @param m00 the element with (row, col) indices (0, 0)
     * @param m01 the element with (row, col) indices (0, 1)
     * @param m02 the element with (row, col) indices (0, 2)
     * @param m03 the element with (row, col) indices (0, 3)
     * @param m10 the element with (row, col) indices (1, 0)
     * @param m11 the element with (row, col) indices (1, 1)
     * @param m12 the element with (row, col) indices (1, 2)
     * @param m13 the element with (row, col) indices (1, 3)
     * @param m20 the element with (row, col) indices (2, 0)
     * @param m21 the element with (row, col) indices (2, 1)
     * @param m22 the element with (row, col) indices (2, 2)
     * @param m23 the element with (row, col) indices (2, 3)
     * @param m30 the element with (row, col) indices (3, 0)
     * @param m31 the element with (row, col) indices (3, 1)
     * @param m32 the element with (row, col) indices (3, 2)
     * @param m33 the element with (row, col) indices (3, 3)
     */
    constructor(m00: number, m01: number, m02: number, m03: number, m10: number, m11: number, m12: number, m13: number, m20: number, m21: number, m22: number, m23: number, m30: number, m31: number, m32: number, m33: number);
    /**
     * Gets the column-major array of values for this matrix.
     */
    get m(): number[];
    /**
     * Computes the matrix product C = AB.
     * The product may be computed in place.
     */
    private mul;
    /**
     * Computes the matrix product C = AB'.
     * The product may be computed in place.
     */
    private mult;
    /**
     * Computes the matrix product C = A'B.
     * The product may be computed in place.
     */
    private tmul;
    /**
     * Compute the inverse of matrix A.
     *
     * This method is based off of Cramer's Rule for the inverse of a matrix
     * and its implementation follows that described by Streaming SIMD
     * Extensions - Inverse of 4x4 Matrix, Intel Corporation, Techncial
     * Report AP-928.
     * @param a array of matrix A.
     * @returns the inverse of array A.
     */
    private invert;
    /**
     * Returns a copy (by value) of this matrix.
     * @returns a copy of this matrix.
     */
    clone(): Matrix44;
    /**
     * Returns the transpose of this matrix.
     * @returns the transpose of this matrix.
     */
    transpose(): Matrix44;
    /**
     * Replaces this matrix with its transpose.
     * @returns the transpose of this matrix.
     */
    transposeEquals(): Matrix44;
    /**
     * Returns the inverse of this matrix.
     * @returns the inverse of this matrix.
     */
    inverse(): Matrix44;
    /**
     * Inverts this matrix.
     * @returns the inverse of this matrix.
     */
    inverseEquals(): Matrix44;
    /**
     * Returns the product MA of this matrix M and matrix A.
     * @param a the matrix A.
     * @returns the product MA.
     */
    times(a: Matrix44 | Vector3 | Point3 | Point4): Matrix44 | Vector3 | Point3 | Point4;
    /**
     * Replaces this matrix M with the product MA.
     * @param a the matrix A.
     * @returns the product MA.
     */
    timesEquals(a: Matrix44): Matrix44;
    /**
     * Sets all elements of this matrix.
     * @param m00 the element with (row, col) indices (0, 0)
     * @param m01 the element with (row, col) indices (0, 1)
     * @param m02 the element with (row, col) indices (0, 2)
     * @param m03 the element with (row, col) indices (0, 3)
     * @param m10 the element with (row, col) indices (1, 0)
     * @param m11 the element with (row, col) indices (1, 1)
     * @param m12 the element with (row, col) indices (1, 2)
     * @param m13 the element with (row, col) indices (1, 3)
     * @param m20 the element with (row, col) indices (2, 0)
     * @param m21 the element with (row, col) indices (2, 1)
     * @param m22 the element with (row, col) indices (2, 2)
     * @param m23 the element with (row, col) indices (2, 3)
     * @param m30 the element with (row, col) indices (3, 0)
     * @param m31 the element with (row, col) indices (3, 1)
     * @param m32 the element with (row, col) indices (3, 2)
     * @param m33 the element with (row, col) indices (3, 3)
     */
    set(m00: number, m01: number, m02: number, m03: number, m10: number, m11: number, m12: number, m13: number, m20: number, m21: number, m22: number, m23: number, m30: number, m31: number, m32: number, m33: number): void;
    /**
     * Returns the product MA of this matrix M and a matrix A.
     * @param a the matrix A.
     * @return the product MA.
     */
    timesMatrix44(a: Matrix44): Matrix44;
    /**
     * Returns the product Mv of this matrix M and a vector v.
     * Uses only the upper-left 3-by-3 elements of this matrix.
     * @param v the vector v.
     * @return the product Mv.
     */
    timesVector3(v: Vector3): Vector3;
    /**
     * Returns the product Mp of this matrix M and a point p.
     * The coordinate w of the specified point is assume to equal 1.0,
     * and the returned point is homogenized,
     * @param p the point p.
     * @returns the product Mp.
     */
    timesPoint3(p: Point3): Point3;
    /**
     * Returns the product Mp of this matrix M and a point p.
     * @param p the point p.
     * @returns the  product Mp.
     */
    timesPoint4(p: Point4): Point4;
}