58 lines
1.6 KiB
C
58 lines
1.6 KiB
C
|
/*=============================================================================
|
||
|
|
|
||
|
|
This file is part of FLINT.
|
||
|
|
|
||
|
|
FLINT is free software; you can redistribute it and/or modify
|
||
|
|
it under the terms of the GNU General Public License as published by
|
||
|
|
the Free Software Foundation; either version 2 of the License, or
|
||
|
|
(at your option) any later version.
|
||
|
|
|
||
|
|
FLINT is distributed in the hope that it will be useful,
|
||
|
|
but WITHOUT ANY WARRANTY; without even the implied warranty of
|
||
|
|
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
|
||
|
|
GNU General Public License for more details.
|
||
|
|
|
||
|
|
You should have received a copy of the GNU General Public License
|
||
|
|
along with FLINT; if not, write to the Free Software
|
||
|
|
Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
|
||
|
|
|
||
|
|
=============================================================================*/
|
||
|
|
/******************************************************************************
|
||
|
|
|
||
|
|
Copyright (C) 2011 Fredrik Johansson
|
||
|
|
|
||
|
|
******************************************************************************/
|
||
|
|
|
||
|
|
#include "fmpz_mat.h"
|
||
|
|
|
||
|
|
void
|
||
|
|
fmpz_mat_det_bound(fmpz_t bound, const fmpz_mat_t A)
|
||
|
|
{
|
||
|
|
fmpz_t p, s, t;
|
||
|
|
slong i, j;
|
||
|
|
|
||
|
|
fmpz_init(p);
|
||
|
|
fmpz_init(s);
|
||
|
|
fmpz_init(t);
|
||
|
|
fmpz_one(p);
|
||
|
|
|
||
|
|
for (i = 0; i < A->r; i++)
|
||
|
|
{
|
||
|
|
fmpz_zero(s);
|
||
|
|
|
||
|
|
for (j = 0; j < A->c; j++)
|
||
|
|
fmpz_addmul(s, A->rows[i] + j, A->rows[i] + j);
|
||
|
|
|
||
|
|
fmpz_sqrtrem(s, t, s);
|
||
|
|
if (!fmpz_is_zero(t))
|
||
|
|
fmpz_add_ui(s, s, UWORD(1));
|
||
|
|
|
||
|
|
fmpz_mul(p, p, s);
|
||
|
|
}
|
||
|
|
|
||
|
|
fmpz_set(bound, p);
|
||
|
|
fmpz_clear(p);
|
||
|
|
fmpz_clear(s);
|
||
|
|
fmpz_clear(t);
|
||
|
|
}
|