flint3-sys 3.2.4

Rust 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

/*
    Copyright (C) 2010 William Hart
    Copyright (C) 2014 Abhinav Baid

    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 "long_extras.h"
#include "gmpcompat.h"
#include "mpf-impl.h"
#include "fmpz.h"

mpf * _mpf_vec_init(slong len, flint_bitcnt_t prec)
{
    slong i;

    mpf * vec = flint_malloc(len * sizeof(mpf));

    for (i = 0; i < len; i++)
        mpf_init2(vec + i, prec);

    return vec;
}

void _mpf_vec_clear(mpf * vec, slong len)
{
    slong i;
    for (i = 0; i < len; i++)
        mpf_clear(vec + i);
    flint_free(vec);
}

void _mpf_vec_set_fmpz_vec(mpf * appv, const fmpz * vec, slong len)
{
    slong i;

    for (i = 0; i < len; i++)
        fmpz_get_mpf(appv + i, vec + i);
}

void _mpf_vec_norm(mpf_t res, const mpf * vec, slong len)
{
    slong i;
    mpf_t tmp;
    mpf_init(tmp);

    flint_mpf_set_ui(res, 0);
    for (i = 0; i < len; i++)
    {
        mpf_mul(tmp, vec + i, vec + i);
        mpf_add(res, res, tmp);
    }

    mpf_clear(tmp);
}

void _mpf_vec_norm2(mpf_t res, const mpf * vec, slong len, flint_bitcnt_t prec)
{
    slong i;
    mpf_t tmp;
    mpf_init2(tmp, prec);

    flint_mpf_set_ui(res, 0);
    for (i = 0; i < len; i++)
    {
        mpf_mul(tmp, vec + i, vec + i);
        mpf_add(res, res, tmp);
    }

    mpf_clear(tmp);
}

int
_mpf_vec_dot2(mpf_t res, const mpf * vec1, const mpf * vec2, slong len2, flint_bitcnt_t prec)
{
    slong i;
    int r = 0;
    mpf_t tmp, tmp2;
    mpf_init2(tmp, prec);
    mpf_init2(tmp2, prec);

    flint_mpf_set_ui(res, 0);
    for (i = 0; i < len2; i++)
    {
        mpf_mul(tmp, vec1 + i, vec2 + i);
        mpf_add(res, res, tmp);
    }

    _mpf_vec_norm(tmp, vec1, len2);
    _mpf_vec_norm(tmp2, vec2, len2);
    mpf_mul(tmp, tmp, tmp2);
    mpf_div_2exp(tmp, tmp, prec);
    mpf_mul(tmp2, res, res);

    if (mpf_cmp(tmp2, tmp) > 0)
        r = 1;

    mpf_clear(tmp);
    mpf_clear(tmp2);

    return r;
}

void
mpf_mat_init(mpf_mat_t mat, slong rows, slong cols, flint_bitcnt_t prec)
{
    mat->r = rows;
    mat->c = cols;
    mat->prec = prec;

    if (rows != 0 && cols != 0)
    {
        slong i;
        slong num;
        int of;

        of = z_mul_checked(&num, rows, cols);

        if (of)
            flint_throw(FLINT_ERROR, "Overflow creating a %wd x %wd object\n", rows, cols);

        mat->entries = flint_malloc(num * sizeof(mpf));
        mat->rows = flint_malloc(rows * sizeof(mpf *));

        for (i = 0; i < rows * cols; i++)
            mpf_init2(mat->entries + i, prec);
        for (i = 0; i < rows; i++)
            mat->rows[i] = mat->entries + i * cols;
    }
    else
    {
       mat->entries = NULL;
       mat->rows = NULL;
    }
}

void mpf_mat_clear(mpf_mat_t mat)
{
    if (mat->entries)
    {
        slong i;
        for (i = 0; i < mat->r * mat->c; i++)
            mpf_clear(mat->entries + i);
        flint_free(mat->entries);
        flint_free(mat->rows);
    }
}