arb/dlog/mod2e.c

57 lines
1.8 KiB
C

/*=============================================================================
This file is part of ARB.
ARB 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.
ARB 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 ARB; if not, write to the Free Software
Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
=============================================================================*/
/******************************************************************************
Copyright (C) 2016 Pascal Molin
******************************************************************************/
#include "dlog.h"
ulong
dlog_mod2e(const dlog_modpe_t t, ulong b1)
{
if (t->e == 2)
return (b1 % 4) == 3;
else
{
slong f;
ulong pf1, pf, x, xf;
pf1 = 1;
pf = 4;
x = 0;
for (f = 2; f < t->e; f++)
{
if (b1 % pf != 1)
{
flint_printf("ERROR dlog_mod2e: %wu %% %wu != 1 mod %wu\n\n",
b1, pf, t->pe.n);
abort();
}
xf = (b1 - 1) / pf;
xf = (f == 2) ? xf % 4 : (xf % 2) * (pf1 / 2);
b1 = nmod_mul(b1, nmod_pow_ui(t->inva, xf, t->pe), t->pe);
x += xf;
pf1 = pf;
pf *= 2;
}
return x;
}
}