/*
*      _______                       _        ____ _     _
*     |__   __|                     | |     / ____| |   | |
*        | | __ _ _ __ ___  ___  ___| |    | (___ | |___| |
*        | |/ _` | '__/ __|/ _ \/ __| |     \___ \|  ___  |
*        | | (_| | |  \__ \ (_) \__ \ |____ ____) | |   | |
*        |_|\__,_|_|  |___/\___/|___/_____/|_____/|_|   |_|
*                                                         
* -----------------------------------------------------------
*
*  TarsosLSH is developed by Joren Six at 
*  The School of Arts,
*  University College Ghent,
*  Hoogpoort 64, 9000 Ghent - Belgium
*  
* -----------------------------------------------------------
*
*  Info    : http://tarsos.0110.be/tag/TarsosLSH
*  Github  : https://github.com/JorenSix/TarsosLSH
*  Releases: http://tarsos.0110.be/releases/TarsosLSH/
* 
*/

package be.tarsos.lsh.families;

import be.tarsos.lsh.Vector;

/**
 * This distance measure calculates the city block distance between two vectors. This distance metric also known as the Manhattan distance or L<sub>1</sub> distance.
 * Wikipedia calls it <a href="http://en.wikipedia.org/wiki/Taxicab_geometry">"Taxicab geometry"</a>:
 * <blockquote> 
 * Taxicab geometry, considered by Hermann Minkowski in the 19th
 * century, is a form of geometry in which the usual distance function or metric
 * of Euclidean geometry is replaced by a new metric in which the distance
 * between two points is the sum of the absolute differences of their
 * coordinates. The taxicab metric is also known as rectilinear distance, L1
 * distance or norm (see Lp space), city block distance, Manhattan distance, or
 * Manhattan length, with corresponding variations in the name of the
 * geometry. The latter names allude to the grid layout of most streets on
 * the island of Manhattan, which causes the shortest path a car could take
 * between two intersections in the borough to have length equal to the
 * intersections' distance in taxicab geometry. 
 * </blockquote>
 * 
 * @author Joren Six
 * 
 */
public class CityBlockDistance implements DistanceMeasure {

	
	/* (non-Javadoc)
	 * @see be.hogent.tarsos.lsh.families.DistanceMeasure#distance(be.hogent.tarsos.lsh.Vector, be.hogent.tarsos.lsh.Vector)
	 */
	@Override
	public double distance(Vector one, Vector other) {
		double distance = 0;
		for (int d = 0; d < one.getDimensions(); d++) {
			distance += Math.abs(one.get(d) - other.get(d));
		}
		return distance;
	}

}