1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
|
#include <gudhi/Cech_complex.h>
#include <gudhi/Simplex_tree.h>
#include <CGAL/Epeck_d.h> // For EXACT or SAFE version
#include <iostream>
#include <string>
#include <vector>
#include <array>
int main() {
// Type definitions
// using Point_cloud = std::vector<std::array<double, 2>>;
using Simplex_tree = Gudhi::Simplex_tree<Gudhi::Simplex_tree_options_fast_persistence>;
using Filtration_value = Simplex_tree::Filtration_value;
using Kernel = CGAL::Epeck_d<CGAL::Dynamic_dimension_tag>;
using FT = typename Kernel::FT;
using Point = typename Kernel::Point_d;
using Point_cloud = std::vector<Point>;
using Cech_complex = Gudhi::cech_complex::Cech_complex<Simplex_tree, Point_cloud, Kernel>;
Point_cloud points;
// points.push_back({1., 0.}); // 0
// points.push_back({0., 1.}); // 1
// points.push_back({2., 1.}); // 2
// points.push_back({3., 2.}); // 3
// points.push_back({0., 3.}); // 4
// points.push_back({3. + std::sqrt(3.), 3.}); // 5
// std::vector<FT> point({0.0, 0.0, 0.0, 0.0});
// points.emplace_back(point.begin(), point.end());
std::vector<FT> point0({1., 0.});
points.emplace_back(point0.begin(), point0.end());
std::vector<FT> point1({0., 1.});
points.emplace_back(point1.begin(), point1.end());
std::vector<FT> point2({2., 1.});
points.emplace_back(point2.begin(), point2.end());
std::vector<FT> point3({3., 2.});
points.emplace_back(point3.begin(), point3.end());
std::vector<FT> point4({0., 3.});
points.emplace_back(point4.begin(), point4.end());
std::vector<FT> point5({3. + std::sqrt(3.), 3.});
points.emplace_back(point5.begin(), point5.end());
// points.emplace_back(Point(std::vector<FT>({1., 0.})));
// points.emplace_back(Point(std::vector<FT>({0., 1.})));
// points.emplace_back(Point(std::vector<FT>({2., 1.})));
// points.emplace_back(Point(std::vector<FT>({3., 2.})));
// points.emplace_back(Point(std::vector<FT>({0., 3.})));
// points.emplace_back(Point(std::vector<FT>({3. + std::sqrt(3.), 3.})));
// points.push_back(Point(1.0, 0.0));
// points.push_back(Point(0.0, 1.0));
// points.push_back(Point(2.0, 1.0));
// points.push_back(Point(3.0, 2.0));
// points.push_back(Point(0.0, 3.0));
// points.push_back(Point(3.0 + std::sqrt(3.0), 3.0));
// points.push_back({1., 4.}); // 6
// points.push_back({3., 4.}); // 7
// points.push_back({2., 4. + std::sqrt(3.)}); // 8
// points.push_back({0., 4.}); // 9
// points.push_back({-0.5, 2.}); // 10
// ----------------------------------------------------------------------------
// Init of a Cech complex from points
// ----------------------------------------------------------------------------
Filtration_value max_radius = 10.;
std::clog << "Hind: Just before the Cech constructor" << std::endl;
Cech_complex cech_complex_from_points(points, max_radius);
std::clog << "Hind: Just after the Cech constructor" << std::endl;
Simplex_tree stree;
cech_complex_from_points.create_complex(stree, 3);
// ----------------------------------------------------------------------------
// Display information about the one skeleton Cech complex
// ----------------------------------------------------------------------------
std::clog << "Cech complex is of dimension " << stree.dimension() << " - " << stree.num_simplices() << " simplices - "
<< stree.num_vertices() << " vertices." << std::endl;
std::clog << "Iterator on Cech complex simplices in the filtration order, with [filtration value]:" << std::endl;
for (auto f_simplex : stree.filtration_simplex_range()) {
std::clog << " ( ";
for (auto vertex : stree.simplex_vertex_range(f_simplex)) {
std::clog << vertex << " ";
}
std::clog << ") -> "
<< "[" << stree.filtration(f_simplex) << "] ";
std::clog << std::endl;
}
return 0;
}
|