package cz.cuni.amis.pogamut.base3d.worldview.object;
   
   import java.beans.PropertyEditorManager;
   import java.beans.PropertyEditorSupport;
   import java.io.Serializable;
   import java.util.Collection;
   import java.util.Iterator;
   import java.util.Locale;
   import java.util.StringTokenizer;
  import java.util.regex.Matcher;
  import java.util.regex.Pattern;
  
  import javax.vecmath.Matrix3d;
  import javax.vecmath.Point3d;
  import javax.vecmath.Tuple3d;
  import javax.vecmath.Vector3d;
  
  import math.geom3d.Point3D;
  
  /**
   * Location within the world.
   * 
   * Location is represented as a point within the world's coordinates.
   * 
   * @author Juraj 'Loque' Simlovic
   * @author Radek 'Black_Hand' Pibil
   */
  public class Location implements ILocated, Serializable, Cloneable {
  
  	/**
  	 * Location representing NONE.
  	 */
  	public static final Location NONE = new Location(Double.MAX_VALUE, Double.MAX_VALUE, Double.MAX_VALUE);
  	
  	/**
  	 * Location(0,0,0).
  	 */
  	public static final Location ZERO = new Location();
  
  	/**
  	 * This here is for StoryFactory compatibility reasons. Can be removed in
  	 * 2012.
  	 */
  	static final long serialVersionUID = -7001866845605943889L;
  
  	/**
  	 * We have to register PropertyEditor for Location, without it, Location
  	 * won't be introspectable.
  	 */
  	static {
  		PropertyEditorManager.registerEditor(Location.class, Location.PropertyEditor.class);
  	}
  
  	/**
  	 * PropertyEditor for class Location.
  	 */
  	public static class PropertyEditor extends PropertyEditorSupport {
  
  		@Override
  		public String getAsText() {
  			if (getValue() != null) {
  				return getValue().toString();
  			} else {
  				return "null";
  			}
  		}
  
  		@Override
  		public void setAsText(String s) {
  			if ("null".equals(s.trim())) {
  				setValue(null);
  			} else {
  				double[] d = Location.PropertyEditor.parseNumberArray(s);
  				if (d.length != 3) {
  					throw new IllegalArgumentException();
  				}
  				setValue(new Location(d));
  			}
  		}
  
  		public static double[] parseNumberArray(String s) {
  			s = s.trim();
  			// if string has brackets, remove them
  			if ((s.startsWith("[") && s.endsWith("]")) || (s.startsWith("(") && s.endsWith(")"))) {
  				s = s.substring(1, s.length() - 1);
  			}
  			// now we expect num , num, num
  			StringTokenizer st = new StringTokenizer(s, ";");
  
  			// try to parse numbers and set the new value
  			try {
  				double[] d = new double[st.countTokens()];
  				for (int i = 0; i < d.length; ++i) {
  					d[i] = Double.parseDouble(st.nextToken());
  				}
  				return d;
  			} catch (NumberFormatException ex) {
  				throw new IllegalArgumentException(ex);
  			}
 		}
 
 		@Override
 		public boolean supportsCustomEditor() {
 			return false;
 		}
 	}
 
 	@Override
 	public Location clone() {
 		return new Location(this);
 	}
 
 	public Vector3d asVector3d() {
 		return new Vector3d(x, y, z);
 	}
 
 	public Point3d asPoint3d() {
 		return new Point3d(x, y, z);
 	}
 
 	public Point3D asPoint3D() {
 		return new Point3D(x, y, z);
 	}
 
 	/** X coordinate. */
 	public final double x;
 	/** Y coordinate. */
 	public final double y;
 	/** Z coordinate. */
 	public final double z;
 	
 	private Integer hashCode = null;
 
 	/* ********************************************************************** */
 
 	/**
 	 * X coordinate.
 	 * 
 	 * @return X coordinate.
 	 */
 	public double getX() {
 		return x;
 	}
 
 	/**
 	 * Y coordinate.
 	 * 
 	 * @return Y coordinate.
 	 */
 	public double getY() {
 		return y;
 	}
 
 	/**
 	 * Z coordinate.
 	 * 
 	 * @return Z coordinate.
 	 */
 	public double getZ() {
 		return z;
 	}
 
 	/* ********************************************************************** */
 
 	/**
 	 * Retreives sum of this location and given location.
 	 * 
 	 * @param l
 	 *            Location to be added to this location.
 	 * @return Sum of the two locations.
 	 */
 	public Location add(Location l) {
 		// create sum of the locations
 		return new Location(x + l.x, y + l.y, z + l.z);
 	}
 
 	/**
 	 * Retreives sum of two given locations.
 	 * 
 	 * @param l1
 	 *            First location to be summed.
 	 * @param l2
 	 *            Second location to be summed.
 	 * @return Sum of the two locations.
 	 */
 	public static Location add(Location l1, Location l2) {
 		// create sum of the locations
 		return new Location(l1.x + l2.x, l1.y + l2.y, l1.z + l2.z);
 	}
 
 	/**
 	 * Retreives subtraction of given location from this location.
 	 * 
 	 * @param l
 	 *            Location to be subtracted.
 	 * @return Subtraction of the two locations.
 	 */
 	public Location sub(Location l) {
 		// create substraction of the locations
 		return new Location(x - l.x, y - l.y, z - l.z);
 	}
 
 	/**
 	 * Retreives subtraction of two given locations.
 	 * 
 	 * @param l1
 	 *            Location to be subtracted from.
 	 * @param l2
 	 *            Location to be subtracted.
 	 * @return Subtraction of the two locations.
 	 */
 	public static Location sub(Location l1, Location l2) {
 		// create substraction of the locations
 		return new Location(l1.x - l2.x, l1.y - l2.y, l1.z - l2.z);
 	}
 
 	/* ********************************************************************* */
 
 	/**
 	 * Adds given velocity to this location.
 	 * 
 	 * @param v
 	 *            Velocity to be added to this location.
 	 * @return Sum of the location and velocity.
 	 */
 	public Location add(Velocity v) {
 		// create sum of the locations
 		return new Location(x + v.x, y + v.y, z + v.z);
 	}
 
 	/**
 	 * Adds given velocity to given location.
 	 * 
 	 * @param l
 	 *            Location to be summed.
 	 * @param v
 	 *            Velocity to be summed.
 	 * @return Sum of the location and velocity.
 	 */
 	public static Location add(Location l, Velocity v) {
 		// create sum of the locations
 		return new Location(l.x + v.x, l.y + v.y, l.z + v.z);
 	}
 
 	/**
 	 * Subtracts given velocity from this location.
 	 * 
 	 * @param v
 	 *            Velocity to be subtracted.
 	 * @return Subtraction of the velocity from the location.
 	 */
 	public Location sub(Velocity v) {
 		// create substraction of the locations
 		return new Location(x - v.x, y - v.y, z - v.z);
 	}
 
 	/**
 	 * Subtracts given velocity from given location.
 	 * 
 	 * @param l
 	 *            Location to be subtracted from.
 	 * @param v
 	 *            Velocity to be subtracted.
 	 * @return Subtraction of the velocity from the location.
 	 */
 	public static Location sub(Location l, Velocity v) {
 		// create substraction of the locations
 		return new Location(l.x - v.x, l.y - v.y, l.z - v.z);
 	}
 
 	/* ********************************************************************* */
 
 	/**
 	 * Scales values of all three coordinates by given multiplier.
 	 * 
 	 * @param d
 	 *            Scaling multiplier.
 	 * @return Location with all three coordinates negated.
 	 */
 	public Location scale(double d) {
 		// create location with scaled values
 		return new Location(x * d, y * d, z * d);
 	}
 
 	/* ********************************************************************* */
 
 	/**
 	 * Lineary interpolates between this location and given location.
 	 * 
 	 * @param l
 	 *            Location to be interpolated to.
 	 * @param d
 	 *            Interpolation parameter.
 	 * @return Linear interpolation between the two locations.
 	 */
 	public Location interpolate(Location l, double d) {
 		// from the other side
 		double d1 = 1.0D - d;
 		// create interpolation of the locations
 		return new Location(d1 * x + d * l.x, d1 * y + d * l.y, d1 * z + d * l.z);
 	}
 
 	/**
 	 * Linearly interpolates between two given locations.
 	 * 
 	 * @param l1
 	 *            Location to be interpolated from.
 	 * @param l2
 	 *            Location to be interpolated to.
 	 * @param d
 	 *            Interpolation parameter.
 	 * @return Linear interpolation between the two locations.
 	 */
 	public static Location interpolate(Location l1, Location l2, double d) {
 		// from the other side
 		double d1 = 1.0D - d;
 		// create interpolation of the locations
 		return new Location(d1 * l1.x + d * l2.x, d1 * l1.y + d * l2.y, d1 * l1.z + d * l2.z);
 	}
 
 	/* ********************************************************************** */
 
 	/**
 	 * Generates a hashCode for this Location.
 	 * 
 	 * @return the hashcode for this Location.
 	 */
 
 	@Override
 	public int hashCode() {		
 		if (hashCode == null) hashCode = computeHashCode();
 		return hashCode;
 	}
 
 	/**
 	 * Tells, whether this location equals to given object.
 	 * 
 	 * @param obj
 	 *            Object to be compared with.
 	 * @return True, if the object is a Location and has has the same values of
 	 *         all three corresponding coordinates.
 	 */
 	@Override
 	public boolean equals(Object obj) {
 		if (this == obj)
 			return true;
 		if (obj == null)
 			return false;
 		if (getClass() != obj.getClass())
 			return false;
 		Location other = (Location) obj;
 		if (hashCode != other.hashCode) return false;
 		if (Double.doubleToLongBits(x) != Double.doubleToLongBits(other.x))
 			return false;
 		if (Double.doubleToLongBits(y) != Double.doubleToLongBits(other.y))
 			return false;
 		if (Double.doubleToLongBits(z) != Double.doubleToLongBits(other.z))
 			return false;
 		return true;
 	}
 
 	/**
 	 * Tells, whether two given locations equal.
 	 * 
 	 * @param l1
 	 *            First location to compare.
 	 * @param l2
 	 *            Second location to compare.
 	 * @return True, if the locations has the same values of all three
 	 *         corresponding coordinates.
 	 */
 	public static boolean equal(Location l1, Location l2) {
 		if (l1 == null && l2 == null)
 			return true;
 		if (l1 == null || l2 == null)
 			return false;
 
 		return l1.equals(l2);
 	}
 
 	/**
 	 * Tells, whether the distance between coordinates of this location and
 	 * given location is less than or equal to the given epsilon.
 	 * 
 	 * @param l
 	 *            Location to compare with.
 	 * @param epsilon
 	 *            Epsilon to compare with.
 	 * @return True, if the distance between the locations is less than the
 	 *         epsilon, false otherwise.
 	 */
 	public boolean equals(Location l, double epsilon) {
 		if (l == null)
 			return false;
 
 		double d;
 
 		// x axes distance
 		d = x - l.x;
 		if ((d >= 0 ? d : -d) > epsilon)
 			return false;
 
 		// y axes distance
 		d = y - l.y;
 		if ((d >= 0.0D ? d : -d) > epsilon)
 			return false;
 
 		// z axes distance
 		d = z - l.z;
 		if ((d >= 0.0D ? d : -d) > epsilon)
 			return false;
 
 		// aye, aye, sir..
 		return true;
 	}
 
 	/**
 	 * Tells, whether the distance between coordinates of two given locations is
 	 * less than or equal to the given epsilon.
 	 * 
 	 * @param l1
 	 *            First location to compare.
 	 * @param l2
 	 *            Second location to compare.
 	 * @param epsilon
 	 *            Epsilon to compare with.
 	 * @return True, if the distance between the locations is less than the
 	 *         epsilon, false otherwise.
 	 */
 	public static boolean equal(Location l1, Location l2, double epsilon) {
 		double d;
 
 		// x axes distance
 		d = l1.x - l2.x;
 		if ((d >= 0 ? d : -d) > epsilon)
 			return false;
 
 		// y axes distance
 		d = l1.y - l2.y;
 		if ((d >= 0.0D ? d : -d) > epsilon)
 			return false;
 
 		// z axes distance
 		d = l1.z - l2.z;
 		if ((d >= 0.0D ? d : -d) > epsilon)
 			return false;
 
 		// aye, aye, sir..
 		return true;
 	}
 
 	/* ********************************************************************** */
 
 	/**
 	 * Calculates average of all 'locations'. If locations.size() == 0, returns
 	 * null.
 	 * 
 	 * @param locations
 	 * @return average location
 	 */
 	public static Location getAverage(Collection<Location> locations) {
 		if (locations.size() == 0)
 			return null;
 		Iterator<Location> iter = locations.iterator();
 		Location result = new Location(iter.next());
 		while (iter.hasNext()) {
 			result.add(iter.next());
 		}
 		return result.scale(1 / locations.size());
 	}
 
 	/* ********************************************************************** */
 
 	/**
 	 * Calculates the distance between this and given location.
 	 * 
 	 * @param l
 	 *            Location to be calculated the distance to.
 	 * @return Euclidean distance between the two locations.
 	 */
 	public double getDistance(Location l) {
 		double dx = l.x - x;
 		double dy = l.y - y;
 		double dz = l.z - z;
 		return Math.sqrt(dx * dx + dy * dy + dz * dz);
 	}
 
 	/**
 	 * Calculates the distance between this and given location (ignoring 'z'
 	 * coordinate).
 	 * 
 	 * @param l
 	 *            Location to be calculated the distance to.
 	 * @return Euclidean distance between the two locations.
 	 */
 	public double getDistance2D(Location l) {
 		double dx = l.x - x;
 		double dy = l.y - y;
 		return Math.sqrt(dx * dx + dy * dy);
 	}
 
 	/**
 	 * Calculates the distance between two given locations.
 	 * 
 	 * @param l1
 	 *            Location to be calculated the distance from.
 	 * @param l2
 	 *            Location to be calculated the distance to.
 	 * @return Euclidean distance between the two locations.
 	 */
 	public static double getDistance(Location l1, Location l2) {
 		double dx = l2.x - l1.x;
 		double dy = l2.y - l1.y;
 		double dz = l2.z - l1.z;
 		return Math.sqrt(dx * dx + dy * dy + dz * dz);
 	}
 
 	/**
 	 * Returns difference between z-coords (this.z - location.z).
 	 * 
 	 * @param location
 	 * @return z-difference
 	 */
 	public double getDistanceZ(Location location) {
 		return z - location.z;
 	}
 
 	/**
 	 * Calculates the distance between two given locations (ignoring 'z'
 	 * coordinate).
 	 * 
 	 * @param l1
 	 *            Location to be calculated the distance from.
 	 * @param l2
 	 *            Location to be calculated the distance to.
 	 * @return Euclidean distance between the two locations.
 	 */
 	public static double getDistance2D(Location l1, Location l2) {
 		double dx = l2.x - l1.x;
 		double dy = l2.y - l1.y;
 		return Math.sqrt(dx * dx + dy * dy);
 	}
 
 	/**
 	 * Calculates the square of the distance between this and given location.
 	 * 
 	 * @param l
 	 *            Location to be calculated the distance to.
 	 * @return Square of the euclidean distance between the two locations.
 	 */
 	public double getDistanceSquare(Location l) {
 		double dx = l.x - x;
 		double dy = l.y - y;
 		double dz = l.z - z;
 		return dx * dx + dy * dy + dz * dz;
 	}
 
 	/**
 	 * Calculates the square of the distance between two given locations.
 	 * 
 	 * @param l1
 	 *            Location to be calculated the distance from.
 	 * @param l2
 	 *            Location to be calculated the distance to.
 	 * @return Square of the euclidean distance between the two locations.
 	 */
 	public static double getDistanceSquare(Location l1, Location l2) {
 		double dx = l2.x - l1.x;
 		double dy = l2.y - l1.y;
 		double dz = l2.z - l1.z;
 		return dx * dx + dy * dy + dz * dz;
 	}
 
 	/**
 	 * Calculates the Manhattan distance between this and given location.
 	 * 
 	 * @param l
 	 *            Location to be calculated the distance to.
 	 * @return Manhattan (i.e. 1-norm) distance between the two locations.
 	 */
 	public double getDistanceL1(Location l) {
 		double dx = Math.abs(l.x - x);
 		double dy = Math.abs(l.y - y);
 		double dz = Math.abs(l.z - z);
 		return dx + dy + dz;
 	}
 
 	/**
 	 * Calculates the Manhattan distance between two given locations.
 	 * 
 	 * @param l1
 	 *            Location to be calculated the distance from.
 	 * @param l2
 	 *            Location to be calculated the distance to.
 	 * @return Manhattan (i.e. 1-norm) distance between the two locations.
 	 */
 	public static double getDistanceL1(Location l1, Location l2) {
 		double dx = Math.abs(l2.x - l1.x);
 		double dy = Math.abs(l2.y - l1.y);
 		double dz = Math.abs(l2.z - l1.z);
 		return dx + dy + dz;
 	}
 
 	/**
 	 * Calculates the Chebyshev distance between this and given location.
 	 * 
 	 * @param l
 	 *            Location to be calculated the distance to.
 	 * @return Chebyshev (i.e. infinity-norm) distance between the two
 	 *         locations.
 	 */
 	public double getDistanceLinf(Location l) {
 		double dx = Math.abs(l.x - x);
 		double dy = Math.abs(l.y - y);
 		double dz = Math.abs(l.z - z);
 		return Math.max(Math.max(dx, dy), dz);
 	}
 
 	/**
 	 * Calculates the Chebyshev distance between two given locations.
 	 * 
 	 * @param l1
 	 *            Location to be calculated the distance from.
 	 * @param l2
 	 *            Location to be calculated the distance to.
 	 * @return Chebyshev (i.e. infinity-norm) distance between the two
 	 *         locations.
 	 */
 	public static double getDistanceLinf(Location l1, Location l2) {
 		double dx = Math.abs(l2.x - l1.x);
 		double dy = Math.abs(l2.y - l1.y);
 		double dz = Math.abs(l2.z - l1.z);
 		return Math.max(Math.max(dx, dy), dz);
 	}
 
 	/**
 	 * Calculates the distance between this and given location after being
 	 * projected to the (x,y) plane.
 	 * 
 	 * @param l
 	 *            Location to be calculated the distance to.
 	 * @return Plane-projected distance between the two locations.
 	 */
 	public double getDistancePlane(Location l) {
 		double dx = l.x - x;
 		double dy = l.y - y;
 		return Math.sqrt(dx * dx + dy * dy);
 	}
 
 	/**
 	 * Calculates the distance between two given locations after being projected
 	 * to the (x,y) plane.
 	 * 
 	 * @param l1
 	 *            Location to be calculated the distance from.
 	 * @param l2
 	 *            Location to be calculated the distance to.
 	 * @return Plane-projected distance between the two locations.
 	 */
 	public static double getDistancePlane(Location l1, Location l2) {
 		double dx = l2.x - l1.x;
 		double dy = l2.y - l1.y;
 		return Math.sqrt(dx * dx + dy * dy);
 	}
 
 	/* ********************************************************************** */
 
 	/**
 	 * Retreives the location itself to implement {@link ILocated}.
 	 * 
 	 * @return The location itself (note: does not create a copy).
 	 */
 	@Override
 	public Location getLocation() {
 		return this;
 	}
 
 	/**
 	 * Retreives javax.vecmath.Point3d representation of the location.
 	 * 
 	 * @return javax.vecmath.Point3d representation with x, y and z values set.
 	 */
 	public Point3d getPoint3d() {
 		return new Point3d(x, y, z);
 	}
 
 	/* ********************************************************************** */
 
 	/**
 	 * Creates location with all values set to zeroes.
 	 */
 	private Location() {
 		this(0,0,0);
 	}
 
 	/**
 	 * Creates location with specified coordinates.
 	 * 
 	 * @param x
 	 *            X coordinate.
 	 * @param y
 	 *            Y coordinate.
 	 * @param z
 	 *            Z coordinate.
 	 */
 	public Location(double x, double y, double z) {
 		this.x = x;
 		this.y = y;
 		this.z = z;
 	}
 
 	private int computeHashCode() {
 		final int prime = 31;
 		int result = 1;
 		long temp;
 		temp = Double.doubleToLongBits(x);
 		result = prime * result + (int) (temp ^ (temp >>> 32));
 		temp = Double.doubleToLongBits(y);
 		result = prime * result + (int) (temp ^ (temp >>> 32));
 		temp = Double.doubleToLongBits(z);
 		result = prime * result + (int) (temp ^ (temp >>> 32));
 		return result;
 	}
 
 	/**
 	 * Creates location with specified planar coordinates. Sets z to zero.
 	 * 
 	 * @param x
 	 *            X coordinate.
 	 * @param y
 	 *            Y coordinate.
 	 */
 	public Location(double x, double y) {
 		this(x,y,0);		
 	}
 
 	/**
 	 * Copy constructor
 	 * 
 	 * @param source
 	 *            Location to copy
 	 */
 	public Location(Location source) {
 		this(source.getX(), source.getY(), source.getZ());
 	}
 
 	/**
 	 * Pattern used to parse {@link Location#toString()} in
 	 * {@link Location#Location(String)}.
 	 */
 	public static final Pattern locationPattern = Pattern
 			.compile("\\[([-+]?[0-9]+(\\.[0-9]+){0,1})\\; ([-+]?[0-9]+(\\.[0-9]+){0,1})\\; ([-+]?[0-9]+(\\.[0-9]+){0,1})\\]");
 
 	/**
 	 * Zero delta for {@link Location#equals(Location)}.
 	 */
 	public static final double DISTANCE_ZERO = 0.000000001;
 
 	/**
 	 * Parses the location from the "string" generated by
 	 * {@link Location#toString()}. If it fails, it throws RuntimeException.
 	 * 
 	 * @param string
 	 */
 	public Location(String string) {
 		Matcher m = locationPattern.matcher(string);
 		if (m.find()) {
 			String strX = m.group(1);
 			String strY = m.group(3);
 			String strZ = m.group(5);
 			try {
 				this.x = Double.parseDouble(strX);
 			} catch (Exception e) {
 				throw new RuntimeException("String '" + string
 						+ "', was not matched as Location, because X-coordinate '" + strX + "' is not a number.");
 			}
 			try {
 				this.y = Double.parseDouble(strY);
 			} catch (Exception e) {
 				throw new RuntimeException("String '" + string
 						+ "', was not matched as Location, because Y-coordinate '" + strY + "' is not a number.");
 			}
 			try {
 				this.z = Double.parseDouble(strZ);
 			} catch (Exception e) {
 				throw new RuntimeException("String '" + string
 						+ "', was not matched as Location, because Z-coordinate '" + strZ + "' is not a number.");
 			}
 		} else {
 			throw new RuntimeException("String '" + string + "' was not matched as Location.");
 		}
 	}
 
 	/**
 	 * Creates location from array of three doubles. Sets x = d[0], y = d[1] and
 	 * z = d[2].
 	 * 
 	 * @param d
 	 *            Array of doubles to be used for creation.
 	 */
 	public Location(double d[]) {
 		if (d.length >= 1)
 			this.x = d[0];
 		else 
 			this.x = 0;
 		if (d.length >= 2)
 			this.y = d[1];
 		else 
 			this.y = 0;
 		if (d.length >= 3)
 			this.z = d[2];
 		else
 			this.z = 0;
 	}
 
 	/**
 	 * Creates location from array of three doubles. Sets x = f[0], y = f[1] and
 	 * z = f[2].
 	 * 
 	 * @param f
 	 *            Array of to be used for creation.
 	 */
 	public Location(float f[]) {
 		if (f.length >= 1)
 			this.x = f[0];
 		else
 			this.x = 0;
 		if (f.length >= 2)
 			this.y = f[1];
 		else
 			this.y = 0;
 		if (f.length >= 3)
 			this.z = f[2];
 		else
 			this.z = 0;
 	}
 
 	/**
 	 * Creates location from specified 3D point.
 	 * 
 	 * @param p
 	 *            Point in space to be used for creation.
 	 */
 	public Location(Tuple3d p) {
 		this(p.x, p.y, p.z);
 	}
 
 	/**
 	 * Creates location from specified 3D point.
 	 * 
 	 * @param p
 	 *            Point in space to be used for creation.
 	 */
 	public Location(Point3D p) {
 		this(p.getX(), p.getY(), p.getZ());
 	}
 
 	/**
 	 * Calculates dot product of this Location and Location b
 	 * 
 	 * @param b
 	 *            Location to dot with
 	 * @return dot product of this and b
 	 */
 	public double dot(Location b) {
 		return x * b.getX() + y * b.getY() + z * b.getZ();
 	}
 
 	/**
 	 * Calculates dot product of this Location and Location b in 2D (x,y coord
 	 * only)
 	 * 
 	 * @param b
 	 *            Location to dot with
 	 * @return dot product of this and b
 	 */
 	public double dot2D(Location b) {
 		return x * b.getX() + y * b.getY();
 	}
 
 	/**
 	 * Calculates cross product of this Location and Lcoations b
 	 * 
 	 * @param b
 	 *            Location to cross with
 	 * @return cross product of this and b
 	 */
 	public Location cross(Location b) {
 		return new Location(y * b.getZ() - z * b.getY(), z * b.getX() - x * b.getZ(), x * b.getY() - y * b.getX());
 	}
 
 	/**
 	 * Converts Location into Rotation. Since location is only a single vector,
 	 * roll is ommited.
 	 * 
 	 * @param order
 	 *            tells resulting rotation, which rotation order should it
 	 *            represent
 	 * @return resulting rotation
 	 */
 	public Rotation getRotation(Rotation.Order order) {
 		Location this_normalized = getNormalized();
 		double yaw = 0d, pitch = 0d;
 		switch (order) {
 		case YAW_PITCH_ROLL:
 		case ROLL_YAW_PITCH:
 		case YAW_ROLL_PITCH:
 			yaw = Math.atan2(this_normalized.getY(), Math.sqrt(1 - this_normalized.getY() * this_normalized.getY()));
 
 			pitch = Math.atan2(this_normalized.getZ(), this_normalized.getX());
 			break;
 		case PITCH_YAW_ROLL:
 		case PITCH_ROLL_YAW:
 		case ROLL_PITCH_YAW:
 			pitch = Math.atan2(Math.sqrt(1 - this_normalized.getZ() * this_normalized.getZ()), this_normalized.getZ());
 			yaw = Math.atan2(this_normalized.getX(), this_normalized.getY());
 			break;
 		}
 		return new Rotation(pitch / Math.PI * 32768 - 1, yaw / Math.PI * 32768 - 1, 0);
 	}
 
 	/**
 	 * WIP not completed yet. Use only in case roll yaw pitch order is used.
 	 * Converts this location into rotation required to be applied on (1,0,0) in
 	 * order achieve this location. Difference from getRotation is that in this
 	 * case, quaternion like rotation chaining is achieved. That means that if
 	 * you take rotation (x, y, z) then result would be same as applying
 	 * rotation (x, 0, 0) on (1, 0, 0) - identity - then (0, y, 0) on the
 	 * result, but like it was identity. Then again (0, 0, z) on the result like
 	 * it was identity. Thus it works in similar vein as quaternion
 	 * multiplication.
 	 * 
 	 * @param order
 	 * @return
 	 */
 	public Rotation getQuatLikeRotationSeq(Rotation.Order order) {
 		Location projected = new Location(1, 0, 0);
 
 		double yaw = 0d, pitch = 0d;
 		switch (order) {
 		case ROLL_YAW_PITCH:
 			yaw = Math.atan2(getY(), getX());
 			projected = projected.mul(Rotation.constructXYRot(yaw));
 
 			pitch = Math.atan2(getZ(), new Location(getX(), getY(), 0).dot(projected));
 
 			return new Rotation(pitch / Math.PI * 32768 - 1, yaw / Math.PI * 32768 - 1, 0);
 		}
 		return Rotation.ZERO;
 	}
 
 	/**
 	 * Normalizes this Location
 	 * 
 	 * @return normalized
 	 */
 	public Location getNormalized() {
 		return scale(1 / getLength());
 	}
 
 	/**
 	 * Calculates length of Location
 	 * 
 	 * @return length
 	 */
 	public double getLength() {
 		return Math.sqrt(x * x + y * y + z * z);
 	}
 
 	/**
 	 * Projects this Location (vector) using matrix from parameter
 	 * 
 	 * @param matrix
 	 *            projection matrix
 	 * @return resulting Location
 	 */
 	public Location mul(Matrix3d matrix) {
 		Location res = new Location(
 							matrix.getM00() * x + matrix.getM10() * y + matrix.getM20() * z,
 							matrix.getM01() * x + matrix.getM11() * y + matrix.getM21() * z,
 							matrix.getM02() * x + matrix.getM12() * y + matrix.getM22() * z
 				       );
 
 		return res;
 	}
 
 	/**
 	 * Calculates inverse Location
 	 * 
 	 * @return new inverted Location
 	 */
 	public Location invert() {
 		return new Location(-x, -y, -z);
 	}
 
 	/**
 	 * Sets the X coordinate.
 	 * 
 	 * @return new location object
 	 */
 	public Location setX(double x) {
 		return new Location(x, this.y, this.z);
 	}
 		
 	/**
 	 * Sets the Y coordinate.
 	 * 
 	 * @return new location object
 	 */
 	public Location setY(double y) {
 		return new Location(this.x, y, this.z);
 	}
 	
 	/**
 	 * Sets the Z coordinate.
 	 * 
 	 * @return new location object
 	 */
 	public Location setZ(double z) {
 		return new Location(this.x, this.y, z);
 	}
 	
 	/**
 	 * Adds to the X coordinate.
 	 * 
 	 * @return new location object
 	 */
 	public Location addX(double x) {
 		return new Location(this.x + x, this.y, this.z);
 	}
 		
 	/**
 	 * Adds to the Y coordinate.
 	 * 
 	 * @return new location object
 	 */
 	public Location addY(double y) {
 		return new Location(this.x, this.y + y, this.z);
 	}
 	
 	/**
 	 * Adds to the Z coordinate.
 	 * 
 	 * @return new location object
 	 */
 	public Location addZ(double z) {
 		return new Location(this.x, this.y, this.z + z);
 	}
 	
 	/**
 	 * Scales the X coordinate.
 	 * 
 	 * @return new location object
 	 */
 	public Location scaleX(double x) {
 		return new Location(this.x * x, this.y, this.z);
 	}
 		
 	/**
 	 * Scales the Y coordinate.
 	 * 
 	 * @return new location object
 	 */
 	public Location scaleY(double y) {
 		return new Location(this.x, this.y * y, this.z);
 	}
 	
 	/**
 	 * Scales the Z coordinate.
 	 * 
 	 * @return new location object
 	 */
 	public Location scaleZ(double z) {
 		return new Location(this.x, this.y, this.z * z);
 	}
 	
 //	/**
 //	 * Set content of this location from passed tocation.
 //	 * 
 //	 * @return this with newly set value
 //	 */
 //	public Location setTo(Location l) {
 //		this.x = l.x;
 //		this.y = l.y;
 //		this.z = l.z;
 //
 //		return this;
 //	}
 //
 //	/**
 //	 * Set content of this location from passed data.
 //	 * 
 //	 * @return this with newly set value
 //	 */
 //	public Location setTo(double x, double y, double z) {
 //		this.x = x;
 //		this.y = y;
 //		this.z = z;
 //
 //		return this;
 //	}
 
 	/* ********************************************************************** */
 
 	@Override
 	public String toString() {
 		return String.format(Locale.ENGLISH, "[%.2f; %.2f; %.2f]", x, y, z);
 	}
 
 }