mpir/mpz/cong_ui.c

108 lines
2.7 KiB
C

/* mpz_congruent_ui_p -- test congruence of mpz and ulong.
Copyright 2000, 2001, 2002 Free Software Foundation, Inc.
This file is part of the GNU MP Library.
The GNU MP Library is free software; you can redistribute it and/or modify
it under the terms of the GNU Lesser General Public License as published by
the Free Software Foundation; either version 2.1 of the License, or (at your
option) any later version.
The GNU MP Library 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 Lesser General Public
License for more details.
You should have received a copy of the GNU Lesser General Public License
along with the GNU MP Library; see the file COPYING.LIB. If not, write to
the Free Software Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston,
MA 02110-1301, USA. */
#include "mpir.h"
#include "gmp-impl.h"
#include "longlong.h"
/* There's some explicit checks for c<d since it seems reasonably likely an
application might use that in a test.
Hopefully the compiler can generate something good for r==(c%d), though
if modexact is being used exclusively then that's not reached. */
int
mpz_congruent_ui_p (mpz_srcptr a, mpir_ui cu, mpir_ui du)
{
mp_srcptr ap;
mp_size_t asize;
mp_limb_t c, d, r;
if (UNLIKELY (du == 0))
return (mpz_cmp_ui (a, cu) == 0);
asize = SIZ(a);
if (asize == 0)
{
if (cu < du)
return cu == 0;
else
return (cu % du) == 0;
}
/* For nails don't try to be clever if c or d is bigger than a limb, just
fake up some mpz_t's and go to the main mpz_congruent_p. */
if (du > GMP_NUMB_MAX || cu > GMP_NUMB_MAX)
{
mp_limb_t climbs[2], dlimbs[2];
mpz_t cz, dz;
ALLOC(cz) = 2;
PTR(cz) = climbs;
ALLOC(dz) = 2;
PTR(dz) = dlimbs;
mpz_set_ui (cz, cu);
mpz_set_ui (dz, du);
return mpz_congruent_p (a, cz, dz);
}
/* NEG_MOD works on limbs, so convert ulong to limb */
c = cu;
d = du;
if (asize < 0)
{
asize = -asize;
NEG_MOD (c, c, d);
}
ap = PTR (a);
if (BELOW_THRESHOLD (asize, MODEXACT_1_ODD_THRESHOLD))
{
r = mpn_mod_1 (ap, asize, d);
if (c < d)
return r == c;
else
return r == (c % d);
}
if ((d & 1) == 0)
{
/* Strip low zero bits to get odd d required by modexact. If
d==e*2^n then a==c mod d if and only if both a==c mod 2^n
and a==c mod e. */
unsigned twos;
if ((ap[0]-c) & LOW_ZEROS_MASK (d))
return 0;
count_trailing_zeros (twos, d);
d >>= twos;
}
r = mpn_modexact_1c_odd (ap, asize, d, c);
return r == 0 || r == d;
}