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#include <gudhi/Tangential_complex.h>
#include <gudhi/sparsify_point_set.h>
#include <CGAL/Epick_d.h>
#include <CGAL/Random.h>
#include <array>
#include <vector>
namespace tc = Gudhi::tangential_complex;
int main(void) {
typedef CGAL::Epick_d<CGAL::Dynamic_dimension_tag> Kernel;
typedef Kernel::FT FT;
typedef Kernel::Point_d Point;
typedef Kernel::Vector_d Vector;
typedef tc::Tangential_complex<Kernel, CGAL::Dynamic_dimension_tag, CGAL::Parallel_tag> TC;
const int INTRINSIC_DIM = 1;
// Generate points on a 2-sphere
std::vector<Point> points;
// [[0, 0], [1, 0], [0, 1], [1, 1]]
std::vector<double> point = {0.0, 0.0};
points.push_back(Point(point.size(), point.begin(), point.end()));
point = {1.0, 0.0};
points.push_back(Point(point.size(), point.begin(), point.end()));
point = {0.0, 1.0};
points.push_back(Point(point.size(), point.begin(), point.end()));
point = {1.0, 1.0};
points.push_back(Point(point.size(), point.begin(), point.end()));
std::cout << "points = " << points.size() << std::endl;
Kernel k;
// Compute the TC
TC tc(points, INTRINSIC_DIM, k);
tc.compute_tangential_complex();
TC::Num_inconsistencies num_inc = tc.number_of_inconsistent_simplices();
std::cout << "TC vertices = " << tc.number_of_vertices() << " - simplices = " << num_inc.num_simplices <<
" - inconsistencies = " << num_inc.num_inconsistent_simplices << std::endl;
// Export the TC into a Simplex_tree
Gudhi::Simplex_tree<> stree;
tc.create_complex(stree);
std::cout << "********************************************************************\n";
std::cout << "* The complex contains " << stree.num_simplices() << " simplices";
std::cout << " - dimension " << stree.dimension() << " - filtration " << stree.filtration() << "\n";
std::cout << "* Iterator on Simplices in the filtration, with [filtration value]:\n";
for (auto f_simplex : stree.filtration_simplex_range()) {
std::cout << " " << "[" << stree.filtration(f_simplex) << "] ";
for (auto vertex : stree.simplex_vertex_range(f_simplex)) {
std::cout << static_cast<int>(vertex) << " ";
}
std::cout << std::endl;
}
tc.fix_inconsistencies_using_perturbation(0.01, 30.0);
// Export the TC into a Simplex_tree
tc.create_complex(stree);
std::cout << "********************************************************************\n";
std::cout << "* The complex contains " << stree.num_simplices() << " simplices\n";
std::cout << " - dimension " << stree.dimension() << " - filtration " << stree.filtration() << "\n";
std::cout << "* Iterator on Simplices in the filtration, with [filtration value]:\n";
for (auto f_simplex : stree.filtration_simplex_range()) {
std::cout << " " << "[" << stree.filtration(f_simplex) << "] ";
for (auto vertex : stree.simplex_vertex_range(f_simplex)) {
std::cout << static_cast<int>(vertex) << " ";
}
std::cout << std::endl;
}
return 0;
}
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