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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
- *
- * 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 GRAPH_SIMPLICIAL_COMPLEX_H_
-#define GRAPH_SIMPLICIAL_COMPLEX_H_
-
-#include <boost/graph/adjacency_list.hpp>
-
-#include <utility> // for pair<>
-#include <vector>
-#include <map>
-#include <tuple> // for std::tie
-
-namespace Gudhi {
-
-/* Edge tag for Boost PropertyGraph. */
-struct edge_filtration_t {
- typedef boost::edge_property_tag kind;
-};
-
-/* Vertex tag for Boost PropertyGraph. */
-struct vertex_filtration_t {
- typedef boost::vertex_property_tag kind;
-};
-
-/** \brief Proximity_graph contains the vertices and edges with their filtration values in order to store the result
- * of `Gudhi::compute_proximity_graph` function.
- *
- * \tparam SimplicialComplexForProximityGraph furnishes `Filtration_value` type definition.
- *
- */
-template <typename SimplicialComplexForProximityGraph>
-using Proximity_graph = typename boost::adjacency_list < boost::vecS, boost::vecS, boost::undirectedS
-, boost::property < vertex_filtration_t, typename SimplicialComplexForProximityGraph::Filtration_value >
-, boost::property < edge_filtration_t, typename SimplicialComplexForProximityGraph::Filtration_value >>;
-
-/** \brief Computes the proximity graph of the points.
- *
- * If points contains n elements, the proximity graph is the graph with n vertices, and an edge [u,v] iff the
- * distance function between points u and v is smaller than threshold.
- *
- * \tparam ForwardPointRange furnishes `.begin()` and `.end()` methods.
- *
- * \tparam Distance furnishes `operator()(const Point& p1, const Point& p2)`, where
- * `Point` is a point from the `ForwardPointRange`, and that returns a `Filtration_value`.
- */
-template< typename SimplicialComplexForProximityGraph
- , typename ForwardPointRange
- , typename Distance >
-Proximity_graph<SimplicialComplexForProximityGraph> compute_proximity_graph(
- const ForwardPointRange& points,
- typename SimplicialComplexForProximityGraph::Filtration_value threshold,
- Distance distance) {
- using Vertex_handle = typename SimplicialComplexForProximityGraph::Vertex_handle;
- using Filtration_value = typename SimplicialComplexForProximityGraph::Filtration_value;
-
- std::vector<std::pair< Vertex_handle, Vertex_handle >> edges;
- std::vector< Filtration_value > edges_fil;
- std::map< Vertex_handle, Filtration_value > vertices;
-
- Vertex_handle idx_u, idx_v;
- Filtration_value fil;
- idx_u = 0;
- for (auto it_u = points.begin(); it_u != points.end(); ++it_u) {
- idx_v = idx_u + 1;
- for (auto it_v = it_u + 1; it_v != points.end(); ++it_v, ++idx_v) {
- fil = distance(*it_u, *it_v);
- if (fil <= threshold) {
- edges.emplace_back(idx_u, idx_v);
- edges_fil.push_back(fil);
- }
- }
- ++idx_u;
- }
-
- // Points are labeled from 0 to idx_u-1
- Proximity_graph<SimplicialComplexForProximityGraph> skel_graph(edges.begin(), edges.end(), edges_fil.begin(), idx_u);
-
- auto vertex_prop = boost::get(vertex_filtration_t(), skel_graph);
-
- typename boost::graph_traits<Proximity_graph<SimplicialComplexForProximityGraph>>::vertex_iterator vi, vi_end;
- for (std::tie(vi, vi_end) = boost::vertices(skel_graph);
- vi != vi_end; ++vi) {
- boost::put(vertex_prop, *vi, 0.);
- }
-
- return skel_graph;
-}
-
-} // namespace Gudhi
-
-#endif // GRAPH_SIMPLICIAL_COMPLEX_H_