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
|
#ifndef _BIGINT_MATRIX_H
#define _BIGINT_MATRIX_H
#include <cassert>
#include <cstdlib>
#include <iostream>
#include <bigint.h>
using namespace std;
class bigint_matrix
{
friend class bigrational_matrix;
private:
unsigned long num_row;
unsigned long num_col;
bigint* rep;
// arithmetic
bigint_matrix add(const bigint_matrix&) const;
bigint_matrix sub(const bigint_matrix&) const;
bigint_matrix mul(const bigint_matrix&) const;
bigint_matrix neg() const;
// bigint_matrix scalar_mul(const bigint&) const;
// comparison
int cmp(const bigint_matrix&) const;
// square matrix
int is_identity() const;
bigint det() const;
public:
// constructor, assignment and destructor
bigint_matrix(const unsigned long = 1, const unsigned long = 1);
bigint_matrix(const unsigned long, const unsigned long, const bigint*);
bigint_matrix(const bigint_matrix&);
bigint_matrix& operator =(const bigint_matrix&);
~bigint_matrix();
// size
unsigned long get_num_row() const;
unsigned long get_num_col() const;
// element
bigint& operator ()(const unsigned long, const unsigned long) const;
// arithmetic
friend bigint_matrix operator +(const bigint_matrix&, const bigint_matrix&);
friend bigint_matrix operator -(const bigint_matrix&, const bigint_matrix&);
friend bigint_matrix operator *(const bigint_matrix&, const bigint_matrix&);
friend bigint_matrix operator -(const bigint_matrix&);
// friend bigint_matrix scalar_mul(const bigint&, const bigint_matrix&);
// comparison
friend int operator ==(const bigint_matrix&, const bigint_matrix&);
friend int operator !=(const bigint_matrix&, const bigint_matrix&);
// arithemtic and assignment
bigint_matrix& operator +=(const bigint_matrix&);
bigint_matrix& operator -=(const bigint_matrix&);
// bigint_matrix& scalar_mul_assign(const bigint&);
// square matrix
friend bigint det(const bigint_matrix&);
// stream
friend ostream& operator <<(ostream&, const bigint_matrix&);
};
inline unsigned long bigint_matrix :: get_num_row() const
{
return num_row;
}
inline unsigned long bigint_matrix :: get_num_col() const
{
return num_col;
}
inline bigint& bigint_matrix :: operator ()(const unsigned long r,
const unsigned long c) const
{
return rep[r * num_col + c];
}
#endif
|
