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/* 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_
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