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
/*
Copyright (C) 2012, 2013 Sebastian Pancratz
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 "fmpq.h"
#include "fmpq_mat.h"
#include "padic.h"
#include "padic_mat.h"
void padic_mat_set_fmpq_mat(padic_mat_t B,
const fmpq_mat_t A, const padic_ctx_t ctx)
{
if (!fmpq_mat_is_empty(A))
{
const slong N = padic_mat_prec(B);
slong i, j, m = WORD_MAX, v, w;
fmpz_t f, g, s, t;
fmpz_init(f);
fmpz_init(g);
fmpz_init(s);
fmpz_init(t);
/* Find min valuation m */
for (i = 0; i < A->r; i++)
for (j = 0; j < A->c; j++)
if (!fmpq_is_zero(fmpq_mat_entry(A, i, j)))
{
v = fmpz_remove(t, fmpq_mat_entry_num(A, i, j), ctx->p);
w = fmpz_remove(t, fmpq_mat_entry_den(A, i, j), ctx->p);
m = FLINT_MIN(m, v - w);
}
if (m >= N)
{
padic_mat_zero(B);
}
else
{
for (i = 0; i < A->r; i++)
for (j = 0; j < A->c; j++)
if (fmpq_is_zero(fmpq_mat_entry(A, i, j)))
{
fmpz_zero(padic_mat_entry(B, i, j));
}
else
{
v = fmpz_remove(s, fmpq_mat_entry_num(A, i, j), ctx->p);
w = fmpz_remove(t, fmpq_mat_entry_den(A, i, j), ctx->p);
if (v - w >= N)
{
fmpz_zero(padic_mat_entry(B, i, j));
}
else
{
fmpz_pow_ui(f, ctx->p, (v - w) - m);
fmpz_pow_ui(g, ctx->p, N - (v - w));
_padic_inv(t, t, ctx->p, N - (v - w));
fmpz_mul(padic_mat_entry(B, i, j), s, t);
fmpz_mod(padic_mat_entry(B, i, j), padic_mat_entry(B, i, j), g);
fmpz_mul(padic_mat_entry(B, i, j), padic_mat_entry(B, i, j), f);
}
}
padic_mat_val(B) = m;
}
fmpz_clear(f);
fmpz_clear(g);
fmpz_clear(s);
fmpz_clear(t);
}
}