<!-- SOLIDIVISM · part 126 -->
ixAutoUpdate ) this.updateMatrix();

		this.matrix.premultiply( matrix );

		this.matrix.decompose( this.position, this.quaternion, this.scale );

	}

	/**
	 * Applies a rotation represented by given the quaternion to the 3D object.
	 *
	 * @param {Quaternion} q - The quaternion.
	 * @return {Object3D} A reference to this instance.
	 */
	applyQuaternion( q ) {

		this.quaternion.premultiply( q );

		return this;

	}

	/**
	 * Sets the given rotation represented as an axis/angle couple to the 3D object.
	 *
	 * @param {Vector3} axis - The (normalized) axis vector.
	 * @param {number} angle - The angle in radians.
	 */
	setRotationFromAxisAngle( axis, angle ) {

		// assumes axis is normalized

		this.quaternion.setFromAxisAngle( axis, angle );

	}

	/**
	 * Sets the given rotation represented as Euler angles to the 3D object.
	 *
	 * @param {Euler} euler - The Euler angles.
	 */
	setRotationFromEuler( euler ) {

		this.quaternion.setFromEuler( euler, true );

	}

	/**
	 * Sets the given rotation represented as rotation matrix to the 3D object.
	 *
	 * @param {Matrix4} m - Although a 4x4 matrix is expected, the upper 3x3 portion must be
	 * a pure rotation matrix (i.e, unscaled).
	 */
	setRotationFromMatrix( m ) {

		// assumes the upper 3x3 of m is a pure rotation matrix (i.e, unscaled)

		this.quaternion.setFromRotationMatrix( m );

	}

	/**
	 * Sets the given rotation represented as a Quaternion to the 3D object.
	 *
	 * @param {Quaternion} q - The Quaternion
	 */
	setRotationFromQuaternion( q ) {

		// assumes q is normalized

		this.quaternion.copy( q );

	}

	/**
	 * Rotates the 3D object along an axis in local space.
	 *
	 * @param {Vector3} axis - The (normalized) axis vector.
	 * @param {number} angle - The angle in radians.
	 * @return {Object3D} A reference to this instance.
	 */
	rotateOnAxis( axis, angle ) {

		// rotate object on axis in object space
		// axis is assumed to be normalized

		_q1.setFromAxisAngle( axis, angle );

		this.quaternion.multiply( _q1 );

		return this;

	}

	/**
	 * Rotates the 3D object along an axis in world space.
	 *
	 * @param {Vector3} axis - The (normalized) axis vector.
	 * @param {number} angle - The angle in radians.
	 * @return {Object3D} A reference to this instance.
	 */
	rotateOnWorldAxis( axis, angle ) {

		// rotate object on axis in world space
		// axis is assumed to be normalized
		// method assumes no rotated parent

		_q1.setFromAxisAngle( axis, angle );

		this.quaternion.premultiply( _q1 );

		return this;

	}

	/**
	 * Rotates the 3D object around its X axis in local space.
	 *
	 * @param {number} angle - The angle in radians.
	 * @return {Object3D} A reference to this instance.
	 */
	rotateX( angle ) {

		return this.rotateOnAxis( _xAxis, angle );

	}

	/**
	 * Rotates the 3D object around its Y axis in local space.
	 *
	 * @param {number} angle - The angle in radians.
	 * @return {Object3D} A reference to this instance.
	 */
	rotateY( angle ) {

		return this.rotateOnAxis( _yAxis, angle );

	}

	/**
	 * Rotates the 3D object around its Z axis in local space.
	 *
	 * @param {number} angle - The angle in radians.
	 * @return {Object3D} A reference to this instance.
	 */
	rotateZ( angle ) {

		return this.rotateOnAxis( _zAxis, angle );

	}

	/**
	 * Translate the 3D object by a distance along the given axis in local space.
	 *
	 * @param {Vector3} axis - The (normalized) axis vector.
	 * @param {number} distance - The distance in world units.
	 * @return {Object3D} A reference to this instance.
	 */
	translateOnAxis( axis, distance ) {

		// translate object by distance along axis in object space
		// axis is assumed to be normalized

		_v1$6.copy( axis ).applyQuaternion( this.quaternion );

		this.position.add( _v1$6.multiplyScalar( distance ) );

		return this;

	}

	/**
	 * Translate the 3D object by a distance along its X-axis in local space.
	 *
	 * @param {number} distance - The distance in world units.
	 * @return {Object3D} A reference to this instance.
	 */
	translateX( distance ) {

		return this.translateOnAxis( _xAxis, distance );

	}

	/**
	 * Translate the 3D object by a distance along its Y-axis in local space.
	 *
	 * @param {number} distance - The distance in world units.
	 * @return {Object3D} A reference to this instance.
	 */
	translateY( distance ) {

		return this.translateOnAxis( _yAxis, distance );

	}

	/**
	 * Translate the 3D object by a distance along its Z-axis in local space.
	 *
	 * @param {number} distance - The distance in world units.
	 * @return {Object3D} A reference to this instance.
	 */
	translateZ( distance ) {

		return this.translateOnAxis( _zAxis, distance );

	}

	/**
	 * Converts the given vector from this 3D object's local space to world space.
	 *
	 * @param {Vector3} vector - The vector to convert.
	 * @return {Vector3} The converted vector.
	 */
	localToWorld( vector ) {

		this.updateWorldMatrix( true, false );

		return vector.applyMatrix4( this.matrixWorld );

	}