Class Quat

src/main/java/field/linalg/Quat.java:41–1856

Contains the definition and functions for rotations expressed as 4-dimensional vectors @author Richard Greenlees @author Kai Burjack with modifications and additions for Field

 * @author Kai Burjack
 * with modifications and additions for Field
 */
@SafeToToString
public class Quat implements Externalizable, Supplier<Quat> {

	private static final long serialVersionUID = 1L;

	/**
	 * The first component of the vector part.
	 */
	public double x;
	/**
	 * The second component of the vector part.
	 */
	public double y;
	/**
	 * The third component of the vector part.
	 */
	public double z;
	/**
	 * The real/scalar part of the quaternion.
	 */
	public double w;

	/**
	 * Create a new {@link Quat} and initialize it with <tt>(x=0, y=0, z=0, w=1)</tt>, where <tt>(x, y, z)</tt> is the vector part of the quaternion and <tt>w</tt> is the real/scalar part.
	 */
	public Quat() {
		x = 0.0;
		y = 0.0;
		z = 0.0;
		w = 1.0;
	}

	/**
	 * Create a new {@link Quat} and initialize its components to the given values.
	 *
	 * @param x the first component of the imaginary part
	 * @param y the second component of the imaginary part
	 * @param z the third component of the imaginary part
	 * @param w the real part
	 */
	public Quat(double x, double y, double z, double w) {
		this.x = x;
		this.y = y;
		this.z = z;
		this.w = w;
	}

	/**
	 * Create a new {@link Quat} and initialize its imaginary components to the given values, and its real part to <tt>1.0</tt>.
	 *
	 * @param x the first component of the imaginary part
	 * @param y the second component of the imaginary part
	 * @param z the third component of the imaginary part
	 */
	public Quat(double x, double y, double z) {
		this.x = x;
		this.y = y;