<!-- NEW4 — TEST 4 · THE QUILT · part 56 -->
 multiplied by the
 * matrix. This is known as `applying` the matrix to the vector.
 *
 * A Note on Row-Major and Column-Major Ordering:
 *
 * The constructor and {@link Matrix3#set} method take arguments in
 * [row-major](https://en.wikipedia.org/wiki/Row-_and_column-major_order#Column-major_order)
 * order, while internally they are stored in the {@link Matrix3#elements} array in column-major order.
 * This means that calling:
 * ```js
 * const m = new THREE.Matrix4();
 * m.set( 11, 12, 13, 14,
 *        21, 22, 23, 24,
 *        31, 32, 33, 34,
 *        41, 42, 43, 44 );
 * ```
 * will result in the elements array containing:
 * ```js
 * m.elements = [ 11, 21, 31, 41,
 *                12, 22, 32, 42,
 *                13, 23, 33, 43,
 *                14, 24, 34, 44 ];
 * ```
 * and internally all calculations are performed using column-major ordering.
 * However, as the actual ordering makes no difference mathematically and
 * most people are used to thinking about matrices in row-major order, the
 * three.js documentation shows matrices in row-major order. Just bear in
 * mind that if you are reading the source code, you'll have to take the
 * transpose of any matrices outlined here to make sense of the calculations.
 */
class Matrix4 {

	static {

		/**
		 * This flag can be used for type testing.
		 *
		 * @type {boolean}
		 * @readonly
		 * @default true
		 */
		Matrix4.prototype.isMatrix4 = true;

	}

	/**
	 * Constructs a new 4x4 matrix. The arguments are supposed to be
	 * in row-major order. If no arguments are provided, the constructor
	 * initializes the matrix as an identity matrix.
	 *
	 * @param {number} [n11] - 1-1 matrix element.
	 * @param {number} [n12] - 1-2 matrix element.
	 * @param {number} [n13] - 1-3 matrix element.
	 * @param {number} [n14] - 1-4 matrix element.
	 * @param {number} [n21] - 2-1 matrix element.
	 * @param {number} [n22] - 2-2 matrix element.
	 * @param {number} [n23] - 2-3 matrix element.
	 * @param {number} [n24] - 2-4 matrix element.
	 * @param {number} [n31] - 3-1 matrix element.
	 * @param {number} [n32] - 3-2 matrix element.
	 * @param {number} [n33] - 3-3 matrix element.
	 * @param {number} [n34] - 3-4 matrix element.
	 * @param {number} [n41] - 4-1 matrix element.
	 * @param {number} [n42] - 4-2 matrix element.
	 * @param {number} [n43] - 4-3 matrix element.
	 * @param {number} [n44] - 4-4 matrix element.
	 */
	constructor( n11, n12, n13, n14, n21, n22, n23, n24, n31, n32, n33, n34, n41, n42, n43, n44 ) {

		/**
		 * A column-major list of matrix values.
		 *
		 * @type {Array<number>}
		 */
		this.elements = [

			1, 0, 0, 0,
			0, 1, 0, 0,
			0, 0, 1, 0,
			0, 0, 0, 1

		];

		if ( n11 !== undefined ) {

			this.set( n11, n12, n13, n14, n21, n22, n23, n24, n31, n32, n33, n34, n41, n42, n43, n44 );

		}

	}

	/**
	 * Sets the elements of the matrix.The arguments are supposed to be
	 * in row-major order.
	 *
	 * @param {number} [n11] - 1-1 matrix element.
	 * @param {number} [n12] - 1-2 matrix element.
	 * @param {number} [n13] - 1-3 matrix element.
	 * @param {number} [n14] - 1-4 matrix element.
	 * @param {number} [n21] - 2-1 matrix element.
	 * @param {number} [n22] - 2-2 matrix element.
	 * @param {number} [n23] - 2-3 matrix element.
	 * @param {number} [n24] - 2-4 matrix element.
	 * @param {number} [n31] - 3-1 matrix element.
	 * @param {number} [n32] - 3-2 matrix element.
	 * @param {number} [n33] - 3-3 matrix element.
	 * @param {number} [n34] - 3-4 matrix element.
	 * @param {number} [n41] - 4-1 matrix element.
	 * @param {number} [n42] - 4-2 matrix element.
	 * @param {number} [n43] - 4-3 matrix element.
	 * @param {number} [n44] - 4-4 matrix element.
	 * @return {Matrix4} A reference to this matrix.
	 */
	set( n11, n12, n13, n14, n21, n22, n23, n24, n31, n32, n33, n34, n41, n42, n43, n44 ) {

		const te = this.elements;

		te[ 0 ] = n11; te[ 4 ] = n12; te[ 8 ] = n13; te[ 12 ] = n14;
		te[ 1 ] = n21; te[ 5 ] = n22; te[ 9 ] = n23; te[ 13 ] = n24;
		te[ 2 ] = n31; te[ 6 ] = n32; te[ 10 ] = n33; te[ 14 ] = n34;
		te[ 3 ] = n41; te[ 7 ] = n42; te[ 11 ] = n43; te[ 15 ] = n44;

		return this;

	}

	/**
	 * Sets this matrix to the 4x4 identity matrix.
	 *
	 * @return {Matrix4} A reference to this matrix.
	 */
	identity() {

		this.set(

			1, 0, 0, 0,
			0, 1, 0, 0,
			0, 0, 1, 0,
			0, 0, 0, 1

		);

		return this;

	}

	/**
	 * Returns a matrix with copied values from this instance.
	 *
	 * @return {Matrix4} A clone of this instance.
	 */
	clone() {

		return new Matrix4().fromArray( this.elements );

	}

	/**
	 * Copies the values of the given matrix to this instance.
	 *
	 * @param {Matrix4} m - The matrix to copy.
	 * @return {Matrix4} A reference to this matrix.
	 */
	copy( m ) {

		const te = this.elements;
		const me = m.elements;

		te[ 0 ] = me[ 0 ]; te[ 1 ] = me[ 1 ]; te[ 2 ] = me[ 2 ]; te[ 3 ] = me[ 3 ];
		te[ 4 ] = me[ 4 ]; te[ 5 ] = me[ 5 ]; te[ 6 ] = me[ 6 ]; te[ 7 ] = me[ 7 ];
		te[ 8 ] =