57 lines
1.6 KiB
C
57 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 "arith.h"
|
||
|
|
|
||
|
|
void
|
||
|
|
arith_bell_number_nmod_vec_recursive(mp_ptr b, slong n, nmod_t mod)
|
||
|
|
{
|
||
|
|
slong i, k;
|
||
|
|
mp_ptr t;
|
||
|
|
|
||
|
|
if (n < BELL_NUMBER_TAB_SIZE)
|
||
|
|
{
|
||
|
|
for (i = 0; i < n; i++)
|
||
|
|
b[i] = n_mod2_preinv(bell_number_tab[i], mod.n, mod.ninv);
|
||
|
|
return;
|
||
|
|
}
|
||
|
|
|
||
|
|
n -= 1;
|
||
|
|
t = _nmod_vec_init(n);
|
||
|
|
|
||
|
|
t[0] = b[0] = b[1] = 1;
|
||
|
|
|
||
|
|
for (i = 1; i < n; i++)
|
||
|
|
{
|
||
|
|
t[i] = t[0];
|
||
|
|
for (k = i; k > 0; k--)
|
||
|
|
t[k - 1] = n_addmod(t[k - 1], t[k], mod.n);
|
||
|
|
|
||
|
|
b[i + 1] = t[0];
|
||
|
|
}
|
||
|
|
|
||
|
|
_nmod_vec_clear(t);
|
||
|
|
}
|