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/* Copyright 2006, 2007, 2009, 2010, 2013-2015, 2018 Free Software
Foundation, Inc.
This file is part of the GNU MP Library test suite.
The GNU MP Library test suite 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 3 of the License,
or (at your option) any later version.
The GNU MP Library test suite 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
the GNU MP Library test suite. If not, see https://www.gnu.org/licenses/. */
#include <stdlib.h> /* for strtol */
#include <stdio.h> /* for printf */
#include "gmp-impl.h"
#include "longlong.h"
#include "tests/tests.h"
static void
dumpy (mp_srcptr p, mp_size_t n)
{
mp_size_t i;
if (n > 20)
{
for (i = n - 1; i >= n - 4; i--)
{
printf ("%0*lx", (int) (2 * sizeof (mp_limb_t)), p[i]);
printf (" ");
}
printf ("... ");
for (i = 3; i >= 0; i--)
{
printf ("%0*lx", (int) (2 * sizeof (mp_limb_t)), p[i]);
printf (i == 0 ? "" : " ");
}
}
else
{
for (i = n - 1; i >= 0; i--)
{
printf ("%0*lx", (int) (2 * sizeof (mp_limb_t)), p[i]);
printf (i == 0 ? "" : " ");
}
}
puts ("");
}
static signed long test;
static void
check_one (mp_ptr qp, mp_srcptr rp,
mp_srcptr np, mp_size_t nn, mp_srcptr dp, mp_size_t dn,
const char *fname, mp_limb_t q_allowed_err)
{
mp_size_t qn = nn - dn + 1;
mp_ptr tp;
const char *msg;
const char *tvalue;
mp_limb_t i;
TMP_DECL;
TMP_MARK;
tp = TMP_ALLOC_LIMBS (nn + 1);
if (dn >= qn)
refmpn_mul (tp, dp, dn, qp, qn);
else
refmpn_mul (tp, qp, qn, dp, dn);
for (i = 0; i < q_allowed_err && (tp[nn] > 0 || mpn_cmp (tp, np, nn) > 0); i++)
ASSERT_NOCARRY (refmpn_sub (tp, tp, nn+1, dp, dn));
if (tp[nn] > 0 || mpn_cmp (tp, np, nn) > 0)
{
msg = "q too large";
tvalue = "Q*D";
error:
printf ("\r*******************************************************************************\n");
printf ("%s failed test %ld: %s\n", fname, test, msg);
printf ("N= "); dumpy (np, nn);
printf ("D= "); dumpy (dp, dn);
printf ("Q= "); dumpy (qp, qn);
if (rp)
{ printf ("R= "); dumpy (rp, dn); }
printf ("%5s=", tvalue); dumpy (tp, nn+1);
printf ("nn = %ld, dn = %ld, qn = %ld\n", nn, dn, qn);
abort ();
}
ASSERT_NOCARRY (refmpn_sub_n (tp, np, tp, nn));
tvalue = "N-Q*D";
if (!(nn == dn || mpn_zero_p (tp + dn, nn - dn)) || mpn_cmp (tp, dp, dn) >= 0)
{
msg = "q too small";
goto error;
}
if (rp && mpn_cmp (rp, tp, dn) != 0)
{
msg = "r incorrect";
goto error;
}
TMP_FREE;
}
/* These are *bit* sizes. */
#ifndef SIZE_LOG
#define SIZE_LOG 17
#endif
#define MAX_DN (1L << SIZE_LOG)
#define MAX_NN (1L << (SIZE_LOG + 1))
#define COUNT 200
int
main (int argc, char **argv)
{
gmp_randstate_ptr rands;
unsigned long maxnbits, maxdbits, nbits, dbits;
mpz_t n, d, q, r, tz, junk;
mp_size_t maxnn, maxdn, nn, dn, clearn, i;
mp_ptr np, dup, dnp, qp, rp, junkp;
mp_limb_t t;
gmp_pi1_t dinv;
long count = COUNT;
mp_ptr scratch;
mp_limb_t ran;
mp_size_t alloc, itch;
mp_limb_t rran0, rran1, qran0, qran1;
TMP_DECL;
TESTS_REPS (count, argv, argc);
maxdbits = MAX_DN;
maxnbits = MAX_NN;
tests_start ();
rands = RANDS;
mpz_init (n);
mpz_init (d);
mpz_init (q);
mpz_init (r);
mpz_init (tz);
mpz_init (junk);
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;
dnp = TMP_ALLOC_LIMBS (maxdn);
alloc = 1;
scratch = __GMP_ALLOCATE_FUNC_LIMBS (alloc);
for (test = -300; test < count; test++)
{
nbits = urandom () % (maxnbits - GMP_NUMB_BITS) + 2 * GMP_NUMB_BITS;
if (test < 0)
dbits = (test + 300) % (nbits - 1) + 1;
else
dbits = urandom () % (nbits - 1) % maxdbits + 1;
#if RAND_UNIFORM
#define RANDFUNC mpz_urandomb
#else
#define RANDFUNC mpz_rrandomb
#endif
do
RANDFUNC (d, rands, dbits);
while (mpz_sgn (d) == 0);
dn = SIZ (d);
dup = PTR (d);
MPN_COPY (dnp, dup, dn);
dnp[dn - 1] |= GMP_NUMB_HIGHBIT;
if (test % 2 == 0)
{
RANDFUNC (n, rands, nbits);
nn = SIZ (n);
ASSERT_ALWAYS (nn >= dn);
}
else
{
do
{
RANDFUNC (q, rands, urandom () % (nbits - dbits + 1));
RANDFUNC (r, rands, urandom () % mpz_sizeinbase (d, 2));
mpz_mul (n, q, d);
mpz_add (n, n, r);
nn = SIZ (n);
}
while (nn > maxnn || nn < dn);
}
ASSERT_ALWAYS (nn <= maxnn);
ASSERT_ALWAYS (dn <= maxdn);
mpz_urandomb (junk, rands, nbits);
junkp = PTR (junk);
np = PTR (n);
mpz_urandomb (tz, rands, 32);
t = mpz_get_ui (tz);
if (t % 17 == 0)
{
dnp[dn - 1] = GMP_NUMB_MAX;
dup[dn - 1] = GMP_NUMB_MAX;
}
switch ((int) t % 16)
{
case 0:
clearn = urandom () % nn;
for (i = clearn; i < nn; i++)
np[i] = 0;
break;
case 1:
mpn_sub_1 (np + nn - dn, dnp, dn, urandom ());
break;
case 2:
mpn_add_1 (np + nn - dn, dnp, dn, urandom ());
break;
}
if (dn >= 2)
invert_pi1 (dinv, dnp[dn - 1], dnp[dn - 2]);
rran0 = urandom ();
rran1 = urandom ();
qran0 = urandom ();
qran1 = urandom ();
qp[-1] = qran0;
qp[nn - dn + 1] = qran1;
rp[-1] = rran0;
ran = urandom ();
if ((double) (nn - dn) * dn < 1e5)
{
/* Test mpn_sbpi1_div_qr */
if (dn > 2)
{
MPN_COPY (rp, np, nn);
if (nn > dn)
MPN_COPY (qp, junkp, nn - dn);
qp[nn - dn] = mpn_sbpi1_div_qr (qp, rp, nn, dnp, dn, dinv.inv32);
check_one (qp, rp, np, nn, dnp, dn, "mpn_sbpi1_div_qr", 0);
}
/* Test mpn_sbpi1_divappr_q */
if (dn > 2)
{
MPN_COPY (rp, np, nn);
if (nn > dn)
MPN_COPY (qp, junkp, nn - dn);
qp[nn - dn] = mpn_sbpi1_divappr_q (qp, rp, nn, dnp, dn, dinv.inv32);
check_one (qp, NULL, np, nn, dnp, dn, "mpn_sbpi1_divappr_q", 1);
}
/* Test mpn_sbpi1_div_q */
if (dn > 2)
{
MPN_COPY (rp, np, nn);
if (nn > dn)
MPN_COPY (qp, junkp, nn - dn);
qp[nn - dn] = mpn_sbpi1_div_q (qp, rp, nn, dnp, dn, dinv.inv32);
check_one (qp, NULL, np, nn, dnp, dn, "mpn_sbpi1_div_q", 0);
}
/* Test mpn_sec_div_qr */
itch = mpn_sec_div_qr_itch (nn, dn);
if (itch + 1 > alloc)
{
scratch = __GMP_REALLOCATE_FUNC_LIMBS (scratch, alloc, itch + 1);
alloc = itch + 1;
}
scratch[itch] = ran;
MPN_COPY (rp, np, nn);
if (nn >= dn)
MPN_COPY (qp, junkp, nn - dn + 1);
qp[nn - dn] = mpn_sec_div_qr (qp, rp, nn, dup, dn, scratch);
ASSERT_ALWAYS (ran == scratch[itch]);
check_one (qp, rp, np, nn, dup, dn, "mpn_sec_div_qr (unnorm)", 0);
/* Test mpn_sec_div_r */
itch = mpn_sec_div_r_itch (nn, dn);
if (itch + 1 > alloc)
{
scratch = __GMP_REALLOCATE_FUNC_LIMBS (scratch, alloc, itch + 1);
alloc = itch + 1;
}
scratch[itch] = ran;
MPN_COPY (rp, np, nn);
mpn_sec_div_r (rp, nn, dup, dn, scratch);
ASSERT_ALWAYS (ran == scratch[itch]);
/* Note: Since check_one cannot cope with remainder-only functions, we
pass qp[] from the previous function, mpn_sec_div_qr. */
check_one (qp, rp, np, nn, dup, dn, "mpn_sec_div_r (unnorm)", 0);
/* Normalised case, mpn_sec_div_qr */
itch = mpn_sec_div_qr_itch (nn, dn);
scratch[itch] = ran;
MPN_COPY (rp, np, nn);
if (nn >= dn)
MPN_COPY (qp, junkp, nn - dn + 1);
qp[nn - dn] = mpn_sec_div_qr (qp, rp, nn, dnp, dn, scratch);
ASSERT_ALWAYS (ran == scratch[itch]);
check_one (qp, rp, np, nn, dnp, dn, "mpn_sec_div_qr (norm)", 0);
/* Normalised case, mpn_sec_div_r */
itch = mpn_sec_div_r_itch (nn, dn);
scratch[itch] = ran;
MPN_COPY (rp, np, nn);
mpn_sec_div_r (rp, nn, dnp, dn, scratch);
ASSERT_ALWAYS (ran == scratch[itch]);
/* Note: Since check_one cannot cope with remainder-only functions, we
pass qp[] from the previous function, mpn_sec_div_qr. */
check_one (qp, rp, np, nn, dnp, dn, "mpn_sec_div_r (norm)", 0);
}
/* Test mpn_dcpi1_div_qr */
if (dn >= 6 && nn - dn >= 3)
{
MPN_COPY (rp, np, nn);
if (nn > dn)
MPN_COPY (qp, junkp, nn - dn);
qp[nn - dn] = mpn_dcpi1_div_qr (qp, rp, nn, dnp, dn, &dinv);
ASSERT_ALWAYS (qp[-1] == qran0); ASSERT_ALWAYS (qp[nn - dn + 1] == qran1);
ASSERT_ALWAYS (rp[-1] == rran0);
check_one (qp, rp, np, nn, dnp, dn, "mpn_dcpi1_div_qr", 0);
}
/* Test mpn_dcpi1_divappr_q */
if (dn >= 6 && nn - dn >= 3)
{
MPN_COPY (rp, np, nn);
if (nn > dn)
MPN_COPY (qp, junkp, nn - dn);
qp[nn - dn] = mpn_dcpi1_divappr_q (qp, rp, nn, dnp, dn, &dinv);
ASSERT_ALWAYS (qp[-1] == qran0); ASSERT_ALWAYS (qp[nn - dn + 1] == qran1);
ASSERT_ALWAYS (rp[-1] == rran0);
check_one (qp, NULL, np, nn, dnp, dn, "mpn_dcpi1_divappr_q", 1);
}
/* Test mpn_dcpi1_div_q */
if (dn >= 6 && nn - dn >= 3)
{
MPN_COPY (rp, np, nn);
if (nn > dn)
MPN_COPY (qp, junkp, nn - dn);
qp[nn - dn] = mpn_dcpi1_div_q (qp, rp, nn, dnp, dn, &dinv);
ASSERT_ALWAYS (qp[-1] == qran0); ASSERT_ALWAYS (qp[nn - dn + 1] == qran1);
ASSERT_ALWAYS (rp[-1] == rran0);
check_one (qp, NULL, np, nn, dnp, dn, "mpn_dcpi1_div_q", 0);
}
/* Test mpn_mu_div_qr */
if (nn - dn > 2 && dn >= 2)
{
itch = mpn_mu_div_qr_itch (nn, dn, 0);
if (itch + 1 > alloc)
{
scratch = __GMP_REALLOCATE_FUNC_LIMBS (scratch, alloc, itch + 1);
alloc = itch + 1;
}
scratch[itch] = ran;
MPN_COPY (qp, junkp, nn - dn);
MPN_ZERO (rp, dn);
rp[dn] = rran1;
qp[nn - dn] = mpn_mu_div_qr (qp, rp, np, nn, dnp, 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, np, nn, dnp, dn, "mpn_mu_div_qr", 0);
}
/* Test mpn_mu_divappr_q */
if (nn - dn > 2 && dn >= 2)
{
itch = mpn_mu_divappr_q_itch (nn, dn, 0);
if (itch + 1 > alloc)
{
scratch = __GMP_REALLOCATE_FUNC_LIMBS (scratch, alloc, itch + 1);
alloc = itch + 1;
}
scratch[itch] = ran;
MPN_COPY (qp, junkp, nn - dn);
qp[nn - dn] = mpn_mu_divappr_q (qp, np, nn, dnp, dn, scratch);
ASSERT_ALWAYS (ran == scratch[itch]);
ASSERT_ALWAYS (qp[-1] == qran0); ASSERT_ALWAYS (qp[nn - dn + 1] == qran1);
check_one (qp, NULL, np, nn, dnp, dn, "mpn_mu_divappr_q", 4);
}
/* Test mpn_mu_div_q */
if (nn - dn > 2 && dn >= 2)
{
itch = mpn_mu_div_q_itch (nn, dn, 0);
if (itch + 1> alloc)
{
scratch = __GMP_REALLOCATE_FUNC_LIMBS (scratch, alloc, itch + 1);
alloc = itch + 1;
}
scratch[itch] = ran;
MPN_COPY (qp, junkp, nn - dn);
qp[nn - dn] = mpn_mu_div_q (qp, np, nn, dnp, dn, scratch);
ASSERT_ALWAYS (ran == scratch[itch]);
ASSERT_ALWAYS (qp[-1] == qran0); ASSERT_ALWAYS (qp[nn - dn + 1] == qran1);
check_one (qp, NULL, np, nn, dnp, dn, "mpn_mu_div_q", 0);
}
if (1)
{
itch = nn + 1;
if (itch + 1> alloc)
{
scratch = __GMP_REALLOCATE_FUNC_LIMBS (scratch, alloc, itch + 1);
alloc = itch + 1;
}
scratch[itch] = ran;
MPN_COPY (qp, junkp, nn - dn + 1);
mpn_div_q (qp, np, nn, dup, dn, scratch);
ASSERT_ALWAYS (ran == scratch[itch]);
ASSERT_ALWAYS (qp[-1] == qran0); ASSERT_ALWAYS (qp[nn - dn + 1] == qran1);
check_one (qp, NULL, np, nn, dup, dn, "mpn_div_q", 0);
}
if (dn >= 2 && nn >= 2)
{
mp_limb_t qh;
/* mpn_divrem_2 */
MPN_COPY (rp, np, nn);
qp[nn - 2] = qp[nn-1] = qran1;
qh = mpn_divrem_2 (qp, 0, rp, nn, dnp + dn - 2);
ASSERT_ALWAYS (qp[nn - 2] == qran1);
ASSERT_ALWAYS (qp[-1] == qran0); ASSERT_ALWAYS (qp[nn - 1] == qran1);
qp[nn - 2] = qh;
check_one (qp, rp, np, nn, dnp + dn - 2, 2, "mpn_divrem_2", 0);
/* Missing: divrem_2 with fraction limbs. */
/* mpn_div_qr_2 */
qp[nn - 2] = qran1;
qh = mpn_div_qr_2 (qp, rp, np, nn, dup + dn - 2);
ASSERT_ALWAYS (qp[nn - 2] == qran1);
ASSERT_ALWAYS (qp[-1] == qran0); ASSERT_ALWAYS (qp[nn - 1] == qran1);
qp[nn - 2] = qh;
check_one (qp, rp, np, nn, dup + dn - 2, 2, "mpn_div_qr_2", 0);
}
if (dn >= 1 && nn >= 1)
{
/* mpn_div_qr_1 */
mp_limb_t qh;
qp[nn-1] = qran1;
rp[0] = mpn_div_qr_1 (qp, &qh, np, nn, dnp[dn - 1]);
ASSERT_ALWAYS (qp[-1] == qran0); ASSERT_ALWAYS (qp[nn - 1] == qran1);
qp[nn - 1] = qh;
check_one (qp, rp, np, nn, dnp + dn - 1, 1, "mpn_div_qr_1", 0);
}
}
__GMP_FREE_FUNC_LIMBS (scratch, alloc);
TMP_FREE;
mpz_clear (n);
mpz_clear (d);
mpz_clear (q);
mpz_clear (r);
mpz_clear (tz);
mpz_clear (junk);
tests_end ();
return 0;
}
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