flint-sys 0.9.0

Bindings to the FLINT C library
Documentation 
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
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177

/*
    Copyright (C) 2024 Albin Ahlbäck

    This file is part of FLINT.

    FLINT is free software: you can redistribute it and/or modify it under
    the terms of the GNU Lesser General Public License (LGPL) as published
    by the Free Software Foundation; either version 3 of the License, or
    (at your option) any later version.  See <https://www.gnu.org/licenses/>.
*/

#include "fmpz_mat.h"
#include "fmpq_mat.h"
#include "acb.h"
#include "acb_mat.h"

/* helper macros *************************************************************/

#define mat_entry(mat, i, j) ((mat)->entries + (i) * (mat)->stride + (j))
#define mat_nrows(mat) ((mat)->r)
#define mat_ncols(mat) ((mat)->c)

/* comparisons ***************************************************************/

/* Checks if matrix fulfills a criteria */
#define IS_OP(func_name, T, OP)                 \
int func_name(const T am)                       \
{                                               \
    slong ix, jx;                               \
                                                \
    for (ix = 0; ix < mat_nrows(am); ix++)      \
        for (jx = 0; jx < mat_ncols(am); jx++)  \
            if (!OP(mat_entry(am, ix, jx)))     \
                return 0;                       \
                                                \
    return 1;                                   \
}

/* Compares two matrices of possibly different types */
#define COMPARISON_OP(func_name, S, T, OP)      \
int func_name(const S am, const T bm)           \
{                                               \
    slong ix, jx;                               \
                                                \
    if (mat_nrows(am) != mat_nrows(bm) || mat_ncols(am) != mat_ncols(bm)) \
        return 0;                               \
                                                \
    for (ix = 0; ix < mat_nrows(am); ix++)      \
        for (jx = 0; jx < mat_ncols(am); jx++)  \
            if (!OP(mat_entry(am, ix, jx), mat_entry(bm, ix, jx))) \
                return 0;                       \
                                                \
    return 1;                                   \
}

#define NOT_COMPARISON_OP(func_name, S, T, OP)  \
int func_name(const S am, const T bm)           \
{                                               \
    slong ix, jx;                               \
                                                \
    if (mat_nrows(am) != mat_nrows(bm) || mat_ncols(am) != mat_nrows(bm)) \
        return 1;                               \
                                                \
    for (ix = 0; ix < mat_nrows(am); ix++)      \
        for (jx = 0; jx < mat_ncols(am); jx++)  \
            if (OP(mat_entry(am, ix, jx), mat_entry(bm, ix, jx))) \
                return 1;                       \
                                                \
    return 0;                                   \
}

/* setters and getters *******************************************************/

/* Sets matrix to one single thing */
#define SET_OP_1(func_name, T, OP)              \
void func_name(T rm)                            \
{                                               \
    slong ix, jx;                               \
                                                \
    for (ix = 0; ix < mat_nrows(rm); ix++)      \
        for (jx = 0; jx < mat_ncols(rm); jx++)  \
            OP(mat_entry(rm, ix, jx));          \
}

/* Set-swap operation of same type type */
#define SET_OP(func_name, S, T, OP)             \
void func_name(S am, T bm)                      \
{                                               \
    slong ix, jx;                               \
                                                \
    for (ix = 0; ix < mat_nrows(bm); ix++)      \
        for (jx = 0; jx < mat_ncols(bm); jx++)  \
            OP(mat_entry(am, ix, jx), mat_entry(bm, ix, jx)); \
}

/* Set operation with precision */
#define SET_PREC_OP(func_name, S, T, OP)        \
void func_name(S rm, const T am, slong prec)    \
{                                               \
    slong ix, jx;                               \
                                                \
    for (ix = 0; ix < mat_nrows(rm); ix++)      \
        for (jx = 0; jx < mat_ncols(rm); jx++)  \
            OP(mat_entry(rm, ix, jx), mat_entry(am, ix, jx), prec); \
}

/* linear arithmetic *********************************************************/

#define AORS_NATIVE_OP(func_name, T, OP)        \
void func_name(T rm, const T am, const T bm, slong prec) \
{                                               \
    slong ix, jx;                               \
                                                \
    for (ix = 0; ix < mat_nrows(am); ix++)      \
        for (jx = 0; jx < mat_ncols(am); jx++)  \
            OP(mat_entry(rm, ix, jx),           \
               mat_entry(am, ix, jx),           \
               mat_entry(bm, ix, jx), prec);    \
}

#define SCALAR_OP(func_name, S, T, OP)   \
void func_name(S rm, const S am, T bs, slong prec) \
{                                               \
    slong ix, jx;                               \
    for (ix = 0; ix < mat_nrows(am); ix++)      \
        for (jx = 0; jx < mat_ncols(am); jx++)  \
            OP(mat_entry(rm, ix, jx), mat_entry(am, ix, jx), bs, prec); \
}

/* define functions **********************************************************/

IS_OP(acb_mat_is_exact,  acb_mat_t, acb_is_exact)
IS_OP(acb_mat_is_finite, acb_mat_t, acb_is_finite)
IS_OP(acb_mat_is_zero,   acb_mat_t, acb_is_zero)
IS_OP(acb_mat_is_real,   acb_mat_t, acb_is_real)

COMPARISON_OP(acb_mat_eq,                acb_mat_t, acb_mat_t,  acb_eq)
COMPARISON_OP(acb_mat_equal,             acb_mat_t, acb_mat_t,  acb_equal)
COMPARISON_OP(acb_mat_overlaps,          acb_mat_t, acb_mat_t,  acb_overlaps)
COMPARISON_OP(acb_mat_contains,          acb_mat_t, acb_mat_t,  acb_contains)
COMPARISON_OP(acb_mat_contains_fmpz_mat, acb_mat_t, fmpz_mat_t, acb_contains_fmpz)
COMPARISON_OP(acb_mat_contains_fmpq_mat, acb_mat_t, fmpq_mat_t, acb_contains_fmpq)

NOT_COMPARISON_OP(acb_mat_ne, acb_mat_t, acb_mat_t, acb_ne)

SET_OP_1(acb_mat_indeterminate, acb_mat_t, acb_indeterminate)
SET_OP_1(acb_mat_zero,          acb_mat_t, acb_zero)
SET_OP_1(acb_mat_ones,          acb_mat_t, acb_one)

SET_OP(acb_mat_swap_entrywise, acb_mat_t, acb_mat_t,        acb_swap)
SET_OP(acb_mat_get_mid,        acb_mat_t, const acb_mat_t,  acb_get_mid)
SET_OP(acb_mat_neg,            acb_mat_t, const acb_mat_t,  acb_neg)
SET_OP(acb_mat_set_fmpz_mat,   acb_mat_t, const fmpz_mat_t, acb_set_fmpz)
SET_OP(acb_mat_set_arb_mat,    acb_mat_t, const arb_mat_t,  acb_set_arb)
SET_OP(acb_mat_conjugate,      acb_mat_t, const acb_mat_t,  acb_conj)

SET_PREC_OP(acb_mat_set_round_fmpz_mat, acb_mat_t, fmpz_mat_t, acb_set_round_fmpz)
SET_PREC_OP(acb_mat_set_fmpq_mat, acb_mat_t, fmpq_mat_t, acb_set_fmpq)
SET_PREC_OP(acb_mat_set_round_arb_mat,  acb_mat_t, arb_mat_t,  acb_set_round_arb)

AORS_NATIVE_OP(acb_mat_add, acb_mat_t, acb_add)
AORS_NATIVE_OP(acb_mat_sub, acb_mat_t, acb_sub)

SCALAR_OP(acb_mat_scalar_mul_si,   acb_mat_t, slong,        acb_mul_si)
SCALAR_OP(acb_mat_scalar_mul_fmpz, acb_mat_t, const fmpz_t, acb_mul_fmpz)
SCALAR_OP(acb_mat_scalar_mul_arb,  acb_mat_t, const arb_t,  acb_mul_arb)
SCALAR_OP(acb_mat_scalar_mul_acb,  acb_mat_t, const acb_t,  acb_mul)

SCALAR_OP(acb_mat_scalar_addmul_si,   acb_mat_t, slong,        acb_addmul_si)
SCALAR_OP(acb_mat_scalar_addmul_fmpz, acb_mat_t, const fmpz_t, acb_addmul_fmpz)
SCALAR_OP(acb_mat_scalar_addmul_arb,  acb_mat_t, const arb_t,  acb_addmul_arb)
SCALAR_OP(acb_mat_scalar_addmul_acb,  acb_mat_t, const acb_t,  acb_addmul)

SCALAR_OP(acb_mat_scalar_div_si,   acb_mat_t, slong,        acb_div_si)
SCALAR_OP(acb_mat_scalar_div_fmpz, acb_mat_t, const fmpz_t, acb_div_fmpz)
SCALAR_OP(acb_mat_scalar_div_arb,  acb_mat_t, const arb_t,  acb_div_arb)
SCALAR_OP(acb_mat_scalar_div_acb,  acb_mat_t, const acb_t,  acb_div)