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Diffstat (limited to 'src/common/include/gudhi/distance_functions.h')
-rw-r--r-- | src/common/include/gudhi/distance_functions.h | 111 |
1 files changed, 111 insertions, 0 deletions
diff --git a/src/common/include/gudhi/distance_functions.h b/src/common/include/gudhi/distance_functions.h new file mode 100644 index 00000000..94cf9ccc --- /dev/null +++ b/src/common/include/gudhi/distance_functions.h @@ -0,0 +1,111 @@ +/* This file is part of the Gudhi Library - https://gudhi.inria.fr/ - which is released under MIT. + * See file LICENSE or go to https://gudhi.inria.fr/licensing/ for full license details. + * Author(s): Clément Maria + * + * Copyright (C) 2014 Inria + * + * Modification(s): + * - YYYY/MM Author: Description of the modification + */ + +#ifndef DISTANCE_FUNCTIONS_H_ +#define DISTANCE_FUNCTIONS_H_ + +#include <gudhi/Debug_utils.h> + +#include <gudhi/Miniball.hpp> + +#include <boost/range/metafunctions.hpp> +#include <boost/range/size.hpp> + +#include <cmath> // for std::sqrt +#include <type_traits> // for std::decay +#include <iterator> // for std::begin, std::end +#include <utility> + +namespace Gudhi { + +/** @file + * @brief Global distance functions + */ + +/** @brief Compute the Euclidean distance between two Points given by a range of coordinates. The points are assumed to + * have the same dimension. */ +class Euclidean_distance { + public: + // boost::range_value is not SFINAE-friendly so we cannot use it in the return type + template< typename Point > + typename std::iterator_traits<typename boost::range_iterator<Point>::type>::value_type + operator()(const Point& p1, const Point& p2) const { + auto it1 = std::begin(p1); + auto it2 = std::begin(p2); + typedef typename boost::range_value<Point>::type NT; + NT dist = 0; + for (; it1 != std::end(p1); ++it1, ++it2) { + GUDHI_CHECK(it2 != std::end(p2), "inconsistent point dimensions"); + NT tmp = *it1 - *it2; + dist += tmp*tmp; + } + GUDHI_CHECK(it2 == std::end(p2), "inconsistent point dimensions"); + using std::sqrt; + return sqrt(dist); + } + template< typename T > + T operator() (const std::pair< T, T >& f, const std::pair< T, T >& s) const { + T dx = f.first - s.first; + T dy = f.second - s.second; + using std::sqrt; + return sqrt(dx*dx + dy*dy); + } +}; + +/** @brief Compute the radius of the minimal enclosing ball between Points given by a range of coordinates. + * The points are assumed to have the same dimension. */ +class Minimal_enclosing_ball_radius { + public: + /** \brief Minimal_enclosing_ball_radius from two points. + * + * @param[in] point_1 First point. + * @param[in] point_2 second point. + * @return The minimal enclosing ball radius for the two points (aka. Euclidean distance / 2.). + * + * \tparam Point must be a range of Cartesian coordinates. + * + */ + template< typename Point > + typename std::iterator_traits<typename boost::range_iterator<Point>::type>::value_type + operator()(const Point& point_1, const Point& point_2) const { + return Euclidean_distance()(point_1, point_2) / 2.; + } + /** \brief Minimal_enclosing_ball_radius from a point cloud. + * + * @param[in] point_cloud The points. + * @return The minimal enclosing ball radius for the points. + * + * \tparam Point_cloud must be a range of points with Cartesian coordinates. + * Point_cloud is a range over a range of Coordinate. + * + */ + template< typename Point_cloud, + typename Point_iterator = typename boost::range_const_iterator<Point_cloud>::type, + typename Point = typename std::iterator_traits<Point_iterator>::value_type, + typename Coordinate_iterator = typename boost::range_const_iterator<Point>::type, + typename Coordinate = typename std::iterator_traits<Coordinate_iterator>::value_type> + Coordinate + operator()(const Point_cloud& point_cloud) const { + using Min_sphere = Miniball::Miniball<Miniball::CoordAccessor<Point_iterator, Coordinate_iterator>>; + + Min_sphere ms(boost::size(*point_cloud.begin()), point_cloud.begin(), point_cloud.end()); +#ifdef DEBUG_TRACES + std::cout << "Minimal_enclosing_ball_radius = " << std::sqrt(ms.squared_radius()) << " | nb points = " + << boost::size(point_cloud) << " | dimension = " + << boost::size(*point_cloud.begin()) << std::endl; +#endif // DEBUG_TRACES + + return std::sqrt(ms.squared_radius()); + } +}; + +} // namespace Gudhi + +#endif // DISTANCE_FUNCTIONS_H_ |