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/* Copyright 2006, 2007, 2009, 2010, 2017 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 unsigned long test;
void check_one (mp_ptr qp, mp_srcptr rp, mp_limb_t rh, mp_srcptr np, mp_size_t nn, mp_srcptr dp, mp_size_t dn, const char *fname) { mp_size_t qn; mp_ptr tp; mp_limb_t cy = 4711; /* silence warnings */ TMP_DECL;
qn = nn - dn;
if (qn == 0) return;
TMP_MARK;
tp = TMP_ALLOC_LIMBS (nn + 1);
if (dn >= qn) mpn_mul (tp, dp, dn, qp, qn); else mpn_mul (tp, qp, qn, dp, dn);
cy = mpn_add_n (tp, tp, np, nn);
if (! mpn_zero_p (tp, qn) || (rp != NULL && (cy != rh || mpn_cmp (tp + qn, rp, dn) != 0))) { printf ("\r*******************************************************************************\n"); printf ("%s inconsistent in test %lu\n", fname, test); printf ("N= "); dumpy (np, nn); printf ("D= "); dumpy (dp, dn); printf ("Q= "); dumpy (qp, qn); if (rp != NULL) { printf ("R= "); dumpy (rp, dn); printf ("Rb= %d, Cy=%d\n", (int) cy, (int) rh); } printf ("T= "); dumpy (tp, nn); printf ("nn = %ld, dn = %ld, qn = %ld", nn, dn, qn); printf ("\n*******************************************************************************\n"); abort (); }
TMP_FREE; }
/* These are *bit* sizes. */ #define SIZE_LOG 16 #define MAX_DN (1L << SIZE_LOG) #define MAX_NN (1L << (SIZE_LOG + 1))
#define COUNT 500
mp_limb_t random_word (gmp_randstate_ptr rs) { mpz_t x; mp_limb_t r; TMP_DECL; TMP_MARK;
MPZ_TMP_INIT (x, 2); mpz_urandomb (x, rs, 32); r = mpz_get_ui (x); TMP_FREE; return r; }
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;
TESTS_REPS (count, argv, argc);
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");
/* 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");
/* Test mpn_sbpi1_bdiv_r; we use mpn_sbpi1_bdiv_q's quotient. */ MPN_COPY (rp, np, nn); mpn_sbpi1_bdiv_r (rp, nn, dp, dn, -dinv); ASSERT_ALWAYS (rp[-1] == rran0); check_one (qp, NULL, 0, np, nn, dp, dn, "mpn_sbpi1_bdiv_r"); } }
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; }
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