Cech_complex.h

/*    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):       Vincent Rouvreau
 *
 *    Copyright (C) 2018 Inria
 *
 *    Modification(s):
 *      - YYYY/MM Author: Description of the modification
 */
 
#ifndef CECH_COMPLEX_H_
#define CECH_COMPLEX_H_
 
#include <gudhi/Sphere_circumradius.h>       // for Gudhi::cech_complex::Sphere_circumradius
#include <gudhi/graph_simplicial_complex.h>  // for Gudhi::Proximity_graph
#include <gudhi/Debug_utils.h>               // for GUDHI_CHECK
#include <gudhi/Cech_complex_blocker.h>      // for Gudhi::cech_complex::Cech_blocker
 
#include <iostream>
#include <stdexcept>  // for exception management
 
namespace Gudhi {
 
namespace cech_complex {
 
template <typename Kernel, typename SimplicialComplexForCechComplex>
class Cech_complex {
 private:
  // Required by compute_proximity_graph
  using Vertex_handle = typename SimplicialComplexForCechComplex::Vertex_handle;
  using Filtration_value = typename SimplicialComplexForCechComplex::Filtration_value;
  using Proximity_graph = Gudhi::Proximity_graph<SimplicialComplexForCechComplex>;
 
  using cech_blocker = Cech_blocker<SimplicialComplexForCechComplex, Cech_complex, Kernel>;
 
  using Point_d = typename cech_blocker::Point_d;
  using Point_cloud = std::vector<Point_d>;
 
  // Numeric type of coordinates in the kernel
  using FT = typename cech_blocker::FT;
  // Sphere is a pair of point and squared radius.
  using Sphere = typename cech_blocker::Sphere;
 
  public:
  template<typename InputPointRange >
  Cech_complex(const InputPointRange & points, Filtration_value max_radius, const bool exact = false) : max_radius_(max_radius), exact_(exact) {
 
    point_cloud_.assign(std::begin(points), std::end(points));
 
    cech_skeleton_graph_ = Gudhi::compute_proximity_graph<SimplicialComplexForCechComplex>(
        point_cloud_, max_radius_, Sphere_circumradius<Kernel, Filtration_value>(exact));
  }
 
  void create_complex(SimplicialComplexForCechComplex& complex, int dim_max) {
    GUDHI_CHECK(complex.num_vertices() == 0,
                std::invalid_argument("Cech_complex::create_complex - simplicial complex is not empty"));
 
    // insert the proximity graph in the simplicial complex
    complex.insert_graph(cech_skeleton_graph_);
    // expand the graph until dimension dim_max
    complex.expansion_with_blockers(dim_max, cech_blocker(&complex, this));
  }
 
  Filtration_value max_radius() const { return max_radius_; }
 
  const Point_d& get_point(Vertex_handle vertex) const { return point_cloud_[vertex]; }
 
  std::vector<Sphere> & get_cache() { return cache_; }
 
  const bool is_exact() { return exact_; }
 
 private:
  Proximity_graph cech_skeleton_graph_;
  Filtration_value max_radius_;
  Point_cloud point_cloud_;
  std::vector<Sphere> cache_;
  const bool exact_;
};
 
}  // namespace cech_complex
 
}  // namespace Gudhi
 
#endif  // CECH_COMPLEX_H_