void
mpn_dcpi1_bdiv_q_n (mp_ptr qp,
mp_ptr np, mp_srcptr dp, mp_size_t n,
mp_limb_t dinv, mp_ptr tp)
{
while (ABOVE_THRESHOLD (n, DC_BDIV_Q_THRESHOLD))
{
mp_size_t lo, hi;
mp_limb_t cy;
lo = n >> 1; /* floor(n/2) */
hi = n - lo; /* ceil(n/2) */
cy = mpn_dcpi1_bdiv_qr_n (qp, np, dp, lo, dinv, tp);
mpn_mullo_n (tp, qp, dp + hi, lo);
mpn_sub_n (np + hi, np + hi, tp, lo);
if (lo < hi)
{
cy += mpn_submul_1 (np + lo, qp, lo, dp[lo]);
np[n - 1] -= cy;
}
qp += lo;
np += lo;
n -= lo;
}
mpn_sbpi1_bdiv_q (qp, np, n, dp, n, dinv);
}
int
main (int argc, char **argv)
{
gmp_randstate_ptr rands;
unsigned long maxnbits, maxdbits, nbits, dbits;
mpz_t n, d, tz;
mp_size_t maxnn, maxdn, nn, dn, clearn, i;
mp_ptr np, dp, qp, rp;
mp_limb_t rh;
mp_limb_t t;
mp_limb_t dinv;
int count = COUNT;
mp_ptr scratch;
mp_limb_t ran;
mp_size_t alloc, itch;
mp_limb_t rran0, rran1, qran0, qran1;
TMP_DECL;
if (argc > 1)
{
char *end;
count = strtol (argv[1], &end, 0);
if (*end || count <= 0)
{
fprintf (stderr, "Invalid test count: %s.\n", argv[1]);
return 1;
}
}
maxdbits = MAX_DN;
maxnbits = MAX_NN;
tests_start ();
rands = RANDS;
mpz_init (n);
mpz_init (d);
mpz_init (tz);
maxnn = maxnbits / GMP_NUMB_BITS + 1;
maxdn = maxdbits / GMP_NUMB_BITS + 1;
TMP_MARK;
qp = TMP_ALLOC_LIMBS (maxnn + 2) + 1;
rp = TMP_ALLOC_LIMBS (maxnn + 2) + 1;
alloc = 1;
scratch = __GMP_ALLOCATE_FUNC_LIMBS (alloc);
for (test = 0; test < count;)
{
nbits = random_word (rands) % (maxnbits - GMP_NUMB_BITS) + 2 * GMP_NUMB_BITS;
if (maxdbits > nbits)
dbits = random_word (rands) % nbits + 1;
else
dbits = random_word (rands) % maxdbits + 1;
#if RAND_UNIFORM
#define RANDFUNC mpz_urandomb
#else
#define RANDFUNC mpz_rrandomb
#endif
do
{
RANDFUNC (n, rands, nbits);
do
{
RANDFUNC (d, rands, dbits);
}
while (mpz_sgn (d) == 0);
np = PTR (n);
dp = PTR (d);
nn = SIZ (n);
dn = SIZ (d);
}
while (nn < dn);
dp[0] |= 1;
mpz_urandomb (tz, rands, 32);
t = mpz_get_ui (tz);
if (t % 17 == 0)
dp[0] = GMP_NUMB_MAX;
switch ((int) t % 16)
{
case 0:
clearn = random_word (rands) % nn;
for (i = 0; i <= clearn; i++)
np[i] = 0;
break;
case 1:
mpn_sub_1 (np + nn - dn, dp, dn, random_word (rands));
break;
case 2:
mpn_add_1 (np + nn - dn, dp, dn, random_word (rands));
break;
}
test++;
binvert_limb (dinv, dp[0]);
rran0 = random_word (rands);
rran1 = random_word (rands);
qran0 = random_word (rands);
qran1 = random_word (rands);
qp[-1] = qran0;
qp[nn - dn + 1] = qran1;
rp[-1] = rran0;
ran = random_word (rands);
if ((double) (nn - dn) * dn < 1e5)
{
if (nn > dn)
{
/* Test mpn_sbpi1_bdiv_qr */
MPN_ZERO (qp, nn - dn);
MPN_ZERO (rp, dn);
MPN_COPY (rp, np, nn);
rh = mpn_sbpi1_bdiv_qr (qp, rp, nn, dp, dn, -dinv);
ASSERT_ALWAYS (qp[-1] == qran0); ASSERT_ALWAYS (qp[nn - dn + 1] == qran1);
ASSERT_ALWAYS (rp[-1] == rran0);
check_one (qp, rp + nn - dn, rh, np, nn, dp, dn, "mpn_sbpi1_bdiv_qr");
}
if (nn > dn)
{
/* Test mpn_sbpi1_bdiv_q */
MPN_COPY (rp, np, nn);
MPN_ZERO (qp, nn - dn);
mpn_sbpi1_bdiv_q (qp, rp, nn - dn, dp, MIN(dn,nn-dn), -dinv);
ASSERT_ALWAYS (qp[-1] == qran0); ASSERT_ALWAYS (qp[nn - dn + 1] == qran1);
ASSERT_ALWAYS (rp[-1] == rran0);
check_one (qp, NULL, 0, np, nn, dp, dn, "mpn_sbpi1_bdiv_q");
}
}
if (dn >= 4 && nn - dn >= 2)
{
/* Test mpn_dcpi1_bdiv_qr */
MPN_COPY (rp, np, nn);
MPN_ZERO (qp, nn - dn);
rh = mpn_dcpi1_bdiv_qr (qp, rp, nn, dp, dn, -dinv);
ASSERT_ALWAYS (qp[-1] == qran0); ASSERT_ALWAYS (qp[nn - dn + 1] == qran1);
ASSERT_ALWAYS (rp[-1] == rran0);
check_one (qp, rp + nn - dn, rh, np, nn, dp, dn, "mpn_dcpi1_bdiv_qr");
}
if (dn >= 4 && nn - dn >= 2)
{
/* Test mpn_dcpi1_bdiv_q */
MPN_COPY (rp, np, nn);
MPN_ZERO (qp, nn - dn);
mpn_dcpi1_bdiv_q (qp, rp, nn - dn, dp, MIN(dn,nn-dn), -dinv);
ASSERT_ALWAYS (qp[-1] == qran0); ASSERT_ALWAYS (qp[nn - dn + 1] == qran1);
ASSERT_ALWAYS (rp[-1] == rran0);
check_one (qp, NULL, 0, np, nn, dp, dn, "mpn_dcpi1_bdiv_q");
}
if (nn > dn)
{
/* Test mpn_bdiv_qr */
itch = mpn_bdiv_qr_itch (nn, dn);
if (itch + 1 > alloc)
{
scratch = __GMP_REALLOCATE_FUNC_LIMBS (scratch, alloc, itch + 1);
alloc = itch + 1;
}
scratch[itch] = ran;
MPN_ZERO (qp, nn - dn);
MPN_ZERO (rp, dn);
rp[dn] = rran1;
rh = mpn_bdiv_qr (qp, rp, np, nn, dp, dn, scratch);
ASSERT_ALWAYS (ran == scratch[itch]);
ASSERT_ALWAYS (qp[-1] == qran0); ASSERT_ALWAYS (qp[nn - dn + 1] == qran1);
ASSERT_ALWAYS (rp[-1] == rran0); ASSERT_ALWAYS (rp[dn] == rran1);
check_one (qp, rp, rh, np, nn, dp, dn, "mpn_bdiv_qr");
}
if (nn - dn < 2 || dn < 2)
continue;
/* Test mpn_mu_bdiv_qr */
itch = mpn_mu_bdiv_qr_itch (nn, dn);
if (itch + 1 > alloc)
{
scratch = __GMP_REALLOCATE_FUNC_LIMBS (scratch, alloc, itch + 1);
alloc = itch + 1;
}
scratch[itch] = ran;
MPN_ZERO (qp, nn - dn);
MPN_ZERO (rp, dn);
rp[dn] = rran1;
rh = mpn_mu_bdiv_qr (qp, rp, np, nn, dp, dn, scratch);
ASSERT_ALWAYS (ran == scratch[itch]);
ASSERT_ALWAYS (qp[-1] == qran0); ASSERT_ALWAYS (qp[nn - dn + 1] == qran1);
ASSERT_ALWAYS (rp[-1] == rran0); ASSERT_ALWAYS (rp[dn] == rran1);
check_one (qp, rp, rh, np, nn, dp, dn, "mpn_mu_bdiv_qr");
/* Test mpn_mu_bdiv_q */
itch = mpn_mu_bdiv_q_itch (nn, dn);
if (itch + 1 > alloc)
{
scratch = __GMP_REALLOCATE_FUNC_LIMBS (scratch, alloc, itch + 1);
alloc = itch + 1;
}
scratch[itch] = ran;
MPN_ZERO (qp, nn - dn + 1);
mpn_mu_bdiv_q (qp, np, nn - dn, dp, dn, scratch);
ASSERT_ALWAYS (ran == scratch[itch]);
ASSERT_ALWAYS (qp[-1] == qran0); ASSERT_ALWAYS (qp[nn - dn + 1] == qran1);
check_one (qp, NULL, 0, np, nn, dp, dn, "mpn_mu_bdiv_q");
}
__GMP_FREE_FUNC_LIMBS (scratch, alloc);
TMP_FREE;
mpz_clear (n);
mpz_clear (d);
mpz_clear (tz);
tests_end ();
return 0;
}
void
mpn_dcpi1_bdiv_q (mp_ptr qp,
mp_ptr np, mp_size_t nn,
mp_srcptr dp, mp_size_t dn,
mp_limb_t dinv)
{
mp_size_t qn;
mp_limb_t cy;
mp_ptr tp;
TMP_DECL;
TMP_MARK;
ASSERT (dn >= 2);
ASSERT (nn - dn >= 0);
ASSERT (dp[0] & 1);
tp = TMP_SALLOC_LIMBS (dn);
qn = nn;
if (qn > dn)
{
/* Reduce qn mod dn in a super-efficient manner. */
do
qn -= dn;
while (qn > dn);
/* Perform the typically smaller block first. */
if (BELOW_THRESHOLD (qn, DC_BDIV_QR_THRESHOLD))
cy = mpn_sbpi1_bdiv_qr (qp, np, 2 * qn, dp, qn, dinv);
else
cy = mpn_dcpi1_bdiv_qr_n (qp, np, dp, qn, dinv, tp);
if (qn != dn)
{
if (qn > dn - qn)
mpn_mul (tp, qp, qn, dp + qn, dn - qn);
else
mpn_mul (tp, dp + qn, dn - qn, qp, qn);
mpn_incr_u (tp + qn, cy);
mpn_sub (np + qn, np + qn, nn - qn, tp, dn);
cy = 0;
}
np += qn;
qp += qn;
qn = nn - qn;
while (qn > dn)
{
mpn_sub_1 (np + dn, np + dn, qn - dn, cy);
cy = mpn_dcpi1_bdiv_qr_n (qp, np, dp, dn, dinv, tp);
qp += dn;
np += dn;
qn -= dn;
}
mpn_dcpi1_bdiv_q_n (qp, np, dp, dn, dinv, tp);
}
else
{
if (BELOW_THRESHOLD (qn, DC_BDIV_Q_THRESHOLD))
mpn_sbpi1_bdiv_q (qp, np, qn, dp, qn, dinv);
else
mpn_dcpi1_bdiv_q_n (qp, np, dp, qn, dinv, tp);
}
TMP_FREE;
}
