arb/dlog/crt.c
2016-09-06 16:23:12 +02:00

31 lines
878 B
C

/*
Copyright (C) 2016 Pascal Molin
This file is part of Arb.
Arb 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 2.1 of the License, or
(at your option) any later version. See <http://www.gnu.org/licenses/>.
*/
#include "dlog.h"
ulong
dlog_crt(const dlog_crt_t t, ulong b)
{
int k;
ulong r = 0;
for (k = 0; k < t->num; k++)
{
ulong bk, rk;
bk = nmod_pow_ui(b, t->expo[k], t->mod);
rk = dlog_precomp(t->pre + k, bk);
#if 0
flint_printf("##[crt-%d]: log(%wu)=log(%wu^%wu) = %wu [size %wu mod %wu]\n",
k, bk, b, t->expo[k], rk, t->n/t->expo[k], t->mod);
#endif
r = nmod_add(r, nmod_mul(t->crt_coeffs[k], rk, t->n), t->n);
}
return r;
}