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
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
|
#ifndef MATCHING_DISTANCE_SIMPLEX_H
#define MATCHING_DISTANCE_SIMPLEX_H
#include <algorithm>
#include <vector>
#include <ostream>
#include "common_util.h"
namespace md {
class Bifiltration;
enum class BifiltrationFormat {
rene, rivet
};
class AbstractSimplex {
private:
std::vector<int> vertices_;
public:
// this member is for convenience only;
// abstract simplices are identified by their set of vertices
mutable int id {-1};
decltype(auto) begin() { return vertices_.begin(); }
decltype(auto) end() { return vertices_.end(); }
decltype(auto) begin() const { return vertices_.begin(); }
decltype(auto) end() const { return vertices_.end(); }
decltype(auto) cbegin() const { return vertices_.cbegin(); }
decltype(auto) cend() const { return vertices_.cend(); }
int dim() const { return vertices_.size() - 1; }
void push_back(int v);
AbstractSimplex() { }
AbstractSimplex(std::vector<int> vertices, bool sort = true);
template<class Iter>
AbstractSimplex(Iter beg_iter, Iter end_iter, bool sort = true)
:
vertices_(beg_iter, end_iter)
{
if (sort)
std::sort(vertices_.begin(), end());
}
std::vector<AbstractSimplex> facets() const;
friend std::ostream& operator<<(std::ostream& os, const AbstractSimplex& s);
// compare by vertices_ only
friend bool operator==(const AbstractSimplex& s1, const AbstractSimplex& s2);
friend bool operator<(const AbstractSimplex&, const AbstractSimplex&);
};
std::ostream& operator<<(std::ostream& os, const AbstractSimplex& s);
class Simplex {
private:
Index id_;
Point pos_;
int dim_;
// in our format we use facet indices,
// this is the fastest representation for homology
// Rivet format fills vertices_ vector
// Simplex alone cannot convert from one representation to the other,
// conversion routines are in Bifiltration
Column facet_indices_;
Column vertices_;
Real v {0.0}; // used when constructed a filtration for a slice
public:
Simplex(Index _id, std::string s, BifiltrationFormat input_format);
Simplex(Index _id, Point birth, int _dim, const Column& _bdry);
void init_rivet(std::string s);
void init_rene(std::string s);
Index id() const { return id_; }
int dim() const { return dim_; }
Column boundary() const { return facet_indices_; }
Real value() const { return v; }
// assumes 1-criticality
Point position() const { return pos_; }
void set_position(const Point& new_pos) { pos_ = new_pos; }
void scale(Real lambda)
{
pos_.x *= lambda;
pos_.y *= lambda;
}
void translate(Real a);
void set_value(Real new_val) { v = new_val; }
friend std::ostream& operator<<(std::ostream& os, const Simplex& s);
friend Bifiltration;
};
std::ostream& operator<<(std::ostream& os, const Simplex& s);
}
#endif //MATCHING_DISTANCE_SIMPLEX_H
|
