/**
 * @license
 * Copyright (c) 2013, Brandon Jones, Colin MacKenzie IV. All rights reserved.
 *
 * Redistribution and use in source and binary forms, with or without
 * modification, are permitted provided that the following conditions are met:
 *
 *   * Redistributions of source code must retain the above copyright notice,
 * this list of conditions and the following disclaimer.
 *   * Redistributions in binary form must reproduce the above copyright notice,
 * this list of conditions and the following disclaimer in the documentation
 * and/or other materials provided with the distribution.
 *
 * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
 * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
 * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE
 * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
 * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
 * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
 * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
 * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
 * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
 * POSSIBILITY OF SUCH DAMAGE.
 */
import { Mat2dArray, Vec2Array } from './common';
export type { Mat2dArray };
/**
 * @class 2x3 Matrix
 * @name mat2d
 *
 * @description
 * A mat2d contains six elements defined as:
 * <pre>
 * [a, c, tx,
 *  b, d, ty]
 * </pre>
 * This is a short form for the 3x3 matrix:
 * <pre>
 * [a, c, tx,
 *  b, d, ty,
 *  0, 0, 1]
 * </pre>
 * The last row is ignored so the array is shorter and operations are faster.
 */
/**
 * Creates a new identity mat2d
 *
 * @returns a new 2x3 matrix
 */
export declare function create(): Mat2dArray;
/**
 * Creates a new mat2d initialized with values from an existing matrix
 *
 * @param a matrix to clone
 * @returns a new 2x3 matrix
 */
export declare function clone(a: Mat2dArray): Mat2dArray;
/**
 * Copy the values from one mat2d to another
 *
 * @param out the receiving matrix
 * @param a the source matrix
 * @returns out
 */
export declare function copy(out: Mat2dArray, a: Mat2dArray): Mat2dArray;
/**
 * Set a mat2d to the identity matrix
 *
 * @param out the receiving matrix
 * @returns out
 */
export declare function identity(out: Mat2dArray): Mat2dArray;
/**
 * Inverts a mat2d
 *
 * @param out the receiving matrix
 * @param a the source matrix
 * @returns out
 */
export declare function invert(out: Mat2dArray, a: Mat2dArray): Mat2dArray | null;
/**
 * Calculates the determinant of a mat2d
 *
 * @param a the source matrix
 * @returns determinant of a
 */
export declare function determinant(a: Mat2dArray): number;
/**
 * Multiplies two mat2d's
 *
 * @param out the receiving matrix
 * @param a the first operand
 * @param b the second operand
 * @returns out
 */
export declare function multiply(out: Mat2dArray, a: Mat2dArray, b: Mat2dArray): Mat2dArray;
/**
 * Alias for {@link export function multiply@function
 */
export declare const mul: typeof multiply;
/**
 * Rotates a mat2d by the given angle
 * @param out the receiving matrix
 * @param a the matrix to rotate
 * @param rad the angle to rotate the matrix by
 * @returns out
 */
export declare function rotate(out: Mat2dArray, a: Mat2dArray, rad: number): Mat2dArray;
/**
 * Scales the mat2d by the dimensions in the given vec2
 *
 * @param out the receiving matrix
 * @param a the matrix to translate
 * @param v the vec2 to scale the matrix by
 * @returns out
 **/
export declare function scale(out: Mat2dArray, a: Mat2dArray, v: Vec2Array): Mat2dArray;
/**
 * Translates the mat2d by the dimensions in the given vec2
 *
 * @param out the receiving matrix
 * @param a the matrix to translate
 * @param v the vec2 to translate the matrix by
 * @returns out
 **/
export declare function translate(out: Mat2dArray, a: Mat2dArray, v: Vec2Array): Mat2dArray;
/**
 * Returns Frobenius norm of a mat2d
 *
 * @param a the matrix to calculate Frobenius norm of
 * @returns Frobenius norm
 */
export declare function frob(a: Mat2dArray): number;