int
mpn_divisible_p (mp_srcptr ap, mp_size_t asize,
mp_srcptr dp, mp_size_t dsize)
{
mp_limb_t alow, dlow, dmask;
mp_ptr qp, rp;
mp_size_t i;
TMP_DECL;
ASSERT (asize >= 0);
ASSERT (asize == 0 || ap[asize-1] != 0);
ASSERT (dsize >= 1);
ASSERT (dp[dsize-1] != 0);
ASSERT_MPN (ap, asize);
ASSERT_MPN (dp, dsize);
/* When a<d only a==0 is divisible.
Notice this test covers all cases of asize==0. */
if (asize < dsize)
return (asize == 0);
/* Strip low zero limbs from d, requiring a==0 on those. */
for (;;)
{
alow = *ap;
dlow = *dp;
if (dlow != 0)
break;
if (alow != 0)
return 0; /* a has fewer low zero limbs than d, so not divisible */
/* a!=0 and d!=0 so won't get to size==0 */
asize--; ASSERT (asize >= 1);
dsize--; ASSERT (dsize >= 1);
ap++;
dp++;
}
/* a must have at least as many low zero bits as d */
dmask = LOW_ZEROS_MASK (dlow);
if ((alow & dmask) != 0)
return 0;
if (dsize == 1)
{
if (BELOW_THRESHOLD (asize, MODEXACT_1_ODD_THRESHOLD))
return mpn_mod_1 (ap, asize, dlow) == 0;
if ((dlow & 1) == 0)
{
unsigned twos;
count_trailing_zeros (twos, dlow);
dlow >>= twos;
}
return mpn_modexact_1_odd (ap, asize, dlow) == 0;
}
int
mpz_divisible_ui_p (mpz_srcptr a, unsigned long d)
{
mp_size_t asize;
mp_ptr ap;
unsigned twos;
asize = SIZ(a);
if (UNLIKELY (d == 0))
return (asize == 0);
if (asize == 0) /* 0 divisible by any d */
return 1;
/* For nails don't try to be clever if d is bigger than a limb, just fake
up an mpz_t and go to the main mpz_divisible_p. */
if (d > GMP_NUMB_MAX)
{
mp_limb_t dlimbs[2];
mpz_t dz;
ALLOC(dz) = 2;
PTR(dz) = dlimbs;
mpz_set_ui (dz, d);
return mpz_divisible_p (a, dz);
}
ap = PTR(a);
asize = ABS(asize); /* ignore sign of a */
if (ABOVE_THRESHOLD (asize, BMOD_1_TO_MOD_1_THRESHOLD))
return mpn_mod_1 (ap, asize, (mp_limb_t) d) == 0;
if (! (d & 1))
{
/* Strip low zero bits to get odd d required by modexact. If d==e*2^n
and a is divisible by 2^n and by e, then it's divisible by d. */
if ((ap[0] & LOW_ZEROS_MASK (d)) != 0)
return 0;
count_trailing_zeros (twos, (mp_limb_t) d);
d >>= twos;
}
return mpn_modexact_1_odd (ap, asize, (mp_limb_t) d) == 0;
}
int
mpz_congruent_ui_p (mpz_srcptr a, unsigned long cu, unsigned long 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 (ABOVE_THRESHOLD (asize, BMOD_1_TO_MOD_1_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;
}
int
mpz_congruent_p (mpz_srcptr a, mpz_srcptr c, mpz_srcptr d)
{
mp_size_t asize, csize, dsize, sign;
mp_srcptr ap, cp, dp;
mp_ptr xp;
mp_limb_t alow, clow, dlow, dmask, r;
int result;
TMP_DECL;
dsize = SIZ(d);
if (UNLIKELY (dsize == 0))
return (mpz_cmp (a, c) == 0);
dsize = ABS(dsize);
dp = PTR(d);
if (ABSIZ(a) < ABSIZ(c))
MPZ_SRCPTR_SWAP (a, c);
asize = SIZ(a);
csize = SIZ(c);
sign = (asize ^ csize);
asize = ABS(asize);
ap = PTR(a);
if (csize == 0)
return mpn_divisible_p (ap, asize, dp, dsize);
csize = ABS(csize);
cp = PTR(c);
alow = ap[0];
clow = cp[0];
dlow = dp[0];
/* Check a==c mod low zero bits of dlow. This might catch a few cases of
a!=c quickly, and it helps the csize==1 special cases below. */
dmask = LOW_ZEROS_MASK (dlow) & GMP_NUMB_MASK;
alow = (sign >= 0 ? alow : -alow);
if (((alow-clow) & dmask) != 0)
return 0;
if (csize == 1)
{
if (dsize == 1)
{
cong_1:
if (sign < 0)
NEG_MOD (clow, clow, dlow);
if (ABOVE_THRESHOLD (asize, BMOD_1_TO_MOD_1_THRESHOLD))
{
r = mpn_mod_1 (ap, asize, dlow);
if (clow < dlow)
return r == clow;
else
return r == (clow % dlow);
}
if ((dlow & 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 e and
a==c mod 2^n, the latter having been done above. */
unsigned twos;
count_trailing_zeros (twos, dlow);
dlow >>= twos;
}
r = mpn_modexact_1c_odd (ap, asize, dlow, clow);
return r == 0 || r == dlow;
}