69 lines
2.1 KiB
C
69 lines
2.1 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) 2005-2009 Damien Stehle
|
||
|
|
Copyright (C) 2007 David Cade
|
||
|
|
Copyright (C) 2010 William Hart
|
||
|
|
|
||
|
|
******************************************************************************/
|
||
|
|
|
||
|
|
#include <math.h>
|
||
|
|
#include "fmpz_mat.h"
|
||
|
|
|
||
|
|
void
|
||
|
|
fmpz_mat_randajtai(fmpz_mat_t mat, flint_rand_t state, double alpha)
|
||
|
|
{
|
||
|
|
const slong c = mat->c, r = mat->r, d = r;
|
||
|
|
|
||
|
|
slong i, j;
|
||
|
|
fmpz_t tmp;
|
||
|
|
|
||
|
|
if (c != r)
|
||
|
|
{
|
||
|
|
flint_printf("Exception (fmpz_mat_ajtai): Non-square matrix.\n");
|
||
|
|
abort();
|
||
|
|
}
|
||
|
|
|
||
|
|
fmpz_init(tmp);
|
||
|
|
|
||
|
|
for (i = 0; i < d; i++)
|
||
|
|
{
|
||
|
|
mp_bitcnt_t bits = (mp_bitcnt_t) pow((double) (2 * d - i), alpha);
|
||
|
|
|
||
|
|
fmpz_one(tmp);
|
||
|
|
fmpz_mul_2exp(tmp, tmp, bits);
|
||
|
|
fmpz_sub_ui(tmp, tmp, 1);
|
||
|
|
fmpz_randm(mat->rows[i] + i, state, tmp);
|
||
|
|
fmpz_add_ui(mat->rows[i] + i, mat->rows[i] + i, 2);
|
||
|
|
fmpz_fdiv_q_2exp(mat->rows[i] + i, mat->rows[i] + i, 1);
|
||
|
|
|
||
|
|
for (j = i + 1; j <= d; j++)
|
||
|
|
{
|
||
|
|
fmpz_randm(mat->rows[j] + i, state, tmp);
|
||
|
|
if (n_randint(state, 2))
|
||
|
|
fmpz_neg(mat->rows[j] + i, mat->rows[j] + i);
|
||
|
|
fmpz_zero(mat->rows[i] + j);
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
fmpz_clear(tmp);
|
||
|
|
}
|