<!-- NEW6 — TEST 6 · THE FIVE SHORES · part 61 -->
 *
	 * @param {Vector3} position - The position vector.
	 * @param {Quaternion} quaternion - The rotation as a Quaternion.
	 * @param {Vector3} scale - The scale vector.
	 * @return {Matrix4} A reference to this matrix.
	 */
	compose( position, quaternion, scale ) {

		const te = this.elements;

		const x = quaternion._x, y = quaternion._y, z = quaternion._z, w = quaternion._w;
		const x2 = x + x,	y2 = y + y, z2 = z + z;
		const xx = x * x2, xy = x * y2, xz = x * z2;
		const yy = y * y2, yz = y * z2, zz = z * z2;
		const wx = w * x2, wy = w * y2, wz = w * z2;

		const sx = scale.x, sy = scale.y, sz = scale.z;

		te[ 0 ] = ( 1 - ( yy + zz ) ) * sx;
		te[ 1 ] = ( xy + wz ) * sx;
		te[ 2 ] = ( xz - wy ) * sx;
		te[ 3 ] = 0;

		te[ 4 ] = ( xy - wz ) * sy;
		te[ 5 ] = ( 1 - ( xx + zz ) ) * sy;
		te[ 6 ] = ( yz + wx ) * sy;
		te[ 7 ] = 0;

		te[ 8 ] = ( xz + wy ) * sz;
		te[ 9 ] = ( yz - wx ) * sz;
		te[ 10 ] = ( 1 - ( xx + yy ) ) * sz;
		te[ 11 ] = 0;

		te[ 12 ] = position.x;
		te[ 13 ] = position.y;
		te[ 14 ] = position.z;
		te[ 15 ] = 1;

		return this;

	}

	/**
	 * Decomposes this matrix into its position, rotation and scale components
	 * and provides the result in the given objects.
	 *
	 * Note: Not all matrices are decomposable in this way. For example, if an
	 * object has a non-uniformly scaled parent, then the object's world matrix
	 * may not be decomposable, and this method may not be appropriate.
	 *
	 * @param {Vector3} position - The position vector.
	 * @param {Quaternion} quaternion - The rotation as a Quaternion.
	 * @param {Vector3} scale - The scale vector.
	 * @return {Matrix4} A reference to this matrix.
	 */
	decompose( position, quaternion, scale ) {

		const te = this.elements;

		position.x = te[ 12 ];
		position.y = te[ 13 ];
		position.z = te[ 14 ];

		const det = this.determinantAffine();

		if ( det === 0 ) {

			scale.set( 1, 1, 1 );
			quaternion.identity();

			return this;

		}

		let sx = _v1$7.set( te[ 0 ], te[ 1 ], te[ 2 ] ).length();
		const sy = _v1$7.set( te[ 4 ], te[ 5 ], te[ 6 ] ).length();
		const sz = _v1$7.set( te[ 8 ], te[ 9 ], te[ 10 ] ).length();

		// if determinant is negative, we need to invert one scale
		if ( det < 0 ) sx = - sx;

		// scale the rotation part
		_m1$2.copy( this );

		const invSX = 1 / sx;
		const invSY = 1 / sy;
		const invSZ = 1 / sz;

		_m1$2.elements[ 0 ] *= invSX;
		_m1$2.elements[ 1 ] *= invSX;
		_m1$2.elements[ 2 ] *= invSX;

		_m1$2.elements[ 4 ] *= invSY;
		_m1$2.elements[ 5 ] *= invSY;
		_m1$2.elements[ 6 ] *= invSY;

		_m1$2.elements[ 8 ] *= invSZ;
		_m1$2.elements[ 9 ] *= invSZ;
		_m1$2.elements[ 10 ] *= invSZ;

		quaternion.setFromRotationMatrix( _m1$2 );

		scale.x = sx;
		scale.y = sy;
		scale.z = sz;

		return this;

	}

	/**
	 * Creates a perspective projection matrix. This is used internally by
	 * {@link PerspectiveCamera#updateProjectionMatrix}.

	 * @param {number} left - Left boundary of the viewing frustum at the near plane.
	 * @param {number} right - Right boundary of the viewing frustum at the near plane.
	 * @param {number} top - Top boundary of the viewing frustum at the near plane.
	 * @param {number} bottom - Bottom boundary of the viewing frustum at the near plane.
	 * @param {number} near - The distance from the camera to the near plane.
	 * @param {number} far - The distance from the camera to the far plane.
	 * @param {(WebGLCoordinateSystem|WebGPUCoordinateSystem)} [coordinateSystem=WebGLCoordinateSystem] - The coordinate system.
	 * @param {boolean} [reversedDepth=false] - Whether to use a reversed depth.
	 * @return {Matrix4} A reference to this matrix.
	 */
	makePerspective( left, right, top, bottom, near, far, coordinateSystem = WebGLCoordinateSystem, reversedDepth = false ) {

		const te = this.elements;

		const x = 2 * near / ( right - left );
		const y = 2 * near / ( top - bottom );

		const a = ( right + left ) / ( right - left );
		const b = ( top + bottom ) / ( top - bottom );

		let c, d;

		if ( reversedDepth ) {

			c = near / ( far - near );
			d = ( far * near ) / ( far - near );

		} else {

			if ( coordinateSystem === WebGLCoordinateSystem ) {

				c = - ( far + near ) / ( far - near );
				d = ( -2 * far * near ) / ( far - near );

			} else if ( coordinateSystem === WebGPUCoordinateSystem ) {

				c = - far / ( far - near );
				d = ( - far * near ) / ( far - near );

			} else {

				throw new Error( 'THREE.Matrix4.makePerspective(): Invalid coordinate system: ' + coordinateSystem );

			}

		}

		te[ 0 ] = x;	te[ 4 ] = 0;	te[ 8 ] = a; 	te[ 12 ] = 0;
		te[ 1 ] = 0;	te[ 5 ] = y;	te[ 9 ] = b; 	te[ 13 ] = 0;
		te[ 2 ] = 0;	te[ 6 ] = 0;	te[ 10 ] = c; 	te[ 14 ] = d;
		te[ 3 ] = 0;	te[ 7 ] = 0;	te[ 11 ] = -1;	te[ 15 ] = 0;

		return this;

	}

	/**
	 * Creates a orthographic projection matrix. This is used internally by
	 * {@link OrthographicCamera#updateProjectionMatrix}.

	 * @param {number} left - Left boundary of the viewing frustum