/*    This file is part of the Gudhi Library. The Gudhi library 
 *    (Geometric Understanding in Higher Dimensions) is a generic C++ 
 *    library for computational topology.
 *
 *    Author(s):       Clément Maria
 *
 *    Copyright (C) 2014  INRIA Sophia Antipolis-Méditerranée (France)
 *
 *    This program is free software: you can redistribute it and/or modify
 *    it under the terms of the GNU General Public License as published by
 *    the Free Software Foundation, either version 3 of the License, or
 *    (at your option) any later version.
 *
 *    This program is distributed in the hope that it will be useful,
 *    but WITHOUT ANY WARRANTY; without even the implied warranty of
 *    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
 *    GNU General Public License for more details.
 *
 *    You should have received a copy of the GNU General Public License
 *    along with this program.  If not, see <http://www.gnu.org/licenses/>.
 */

#ifndef DISTANCE_FUNCTIONS_H_
#define DISTANCE_FUNCTIONS_H_

#include <cmath>  // for std::sqrt

/* Compute the Euclidean distance between two Points given
 * by a range of coordinates. The points are assumed to have 
 * the same dimension. */
template< typename Point >
double euclidean_distance(Point &p1, Point &p2) {
  double dist = 0.;
  auto it1 = p1.begin();
  auto it2 = p2.begin();
  for (; it1 != p1.end(); ++it1, ++it2) {
    double tmp = *it1 - *it2;
    dist += tmp*tmp;
  }
  return std::sqrt(dist);
}

#endif  // DISTANCE_FUNCTIONS_H_