/* Test mpz_cmp, mpz_mul. Copyright 1991, 1993, 1994, 1996, 1997, 2000-2004 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 #include #include "gmp-impl.h" #include "longlong.h" #include "tests.h" void debug_mp (mpz_t); static void refmpz_mul (mpz_t, const mpz_t, const mpz_t); void dump_abort (int, const char *, mpz_t, mpz_t, mpz_t, mpz_t); #define FFT_MIN_BITSIZE 100000 char *extra_fft; void one (int i, mpz_t multiplicand, mpz_t multiplier) { mpz_t product, ref_product; mpz_init (product); mpz_init (ref_product); /* Test plain multiplication comparing results against reference code. */ mpz_mul (product, multiplier, multiplicand); refmpz_mul (ref_product, multiplier, multiplicand); if (mpz_cmp (product, ref_product)) dump_abort (i, "incorrect plain product", multiplier, multiplicand, product, ref_product); /* Test squaring, comparing results against plain multiplication */ mpz_mul (product, multiplier, multiplier); mpz_set (multiplicand, multiplier); mpz_mul (ref_product, multiplier, multiplicand); if (mpz_cmp (product, ref_product)) dump_abort (i, "incorrect square product", multiplier, multiplier, product, ref_product); mpz_clear (product); mpz_clear (ref_product); } int main (int argc, char **argv) { mpz_t op1, op2; int i; int fft_max_2exp; gmp_randstate_ptr rands; mpz_t bs; unsigned long bsi, size_range, fsize_range; tests_start (); rands = RANDS; extra_fft = getenv ("GMP_CHECK_FFT"); fft_max_2exp = 0; if (extra_fft != NULL) { fft_max_2exp = atoi (extra_fft); printf ("GMP_CHECK_FFT=%d (include this in bug reports)\n", fft_max_2exp); } if (fft_max_2exp <= 1) /* compat with old use of GMP_CHECK_FFT */ fft_max_2exp = 22; /* default limit, good for any machine */ mpz_init (bs); mpz_init (op1); mpz_init (op2); fsize_range = 4 << 8; /* a fraction 1/256 of size_range */ for (i = 0;; i++) { size_range = fsize_range >> 8; fsize_range = fsize_range * 33 / 32; if (size_range > fft_max_2exp) break; mpz_urandomb (bs, rands, size_range); mpz_rrandomb (op1, rands, mpz_get_ui (bs)); if (i & 1) mpz_urandomb (bs, rands, size_range); mpz_rrandomb (op2, rands, mpz_get_ui (bs)); mpz_urandomb (bs, rands, 4); bsi = mpz_get_ui (bs); if ((bsi & 0x3) == 0) mpz_neg (op1, op1); if ((bsi & 0xC) == 0) mpz_neg (op2, op2); /* printf ("%d %d\n", SIZ (op1), SIZ (op2)); */ one (i, op2, op1); } for (i = -50; i < 0; i++) { mpz_urandomb (bs, rands, 32); size_range = mpz_get_ui (bs) % fft_max_2exp; mpz_urandomb (bs, rands, size_range); mpz_rrandomb (op1, rands, mpz_get_ui (bs) + FFT_MIN_BITSIZE); mpz_urandomb (bs, rands, size_range); mpz_rrandomb (op2, rands, mpz_get_ui (bs) + FFT_MIN_BITSIZE); /* printf ("%d: %d %d\n", i, SIZ (op1), SIZ (op2)); */ fflush (stdout); one (-1, op2, op1); } mpz_clear (bs); mpz_clear (op1); mpz_clear (op2); tests_end (); exit (0); } static void refmpz_mul (mpz_t w, const mpz_t u, const mpz_t v) { mp_size_t usize = u->_mp_size; mp_size_t vsize = v->_mp_size; mp_size_t wsize; mp_size_t sign_product; mp_ptr up, vp; mp_ptr wp; mp_size_t talloc; sign_product = usize ^ vsize; usize = ABS (usize); vsize = ABS (vsize); if (usize == 0 || vsize == 0) { SIZ (w) = 0; return; } talloc = usize + vsize; up = u->_mp_d; vp = v->_mp_d; wp = __GMP_ALLOCATE_FUNC_LIMBS (talloc); if (usize > vsize) refmpn_mul (wp, up, usize, vp, vsize); else refmpn_mul (wp, vp, vsize, up, usize); wsize = usize + vsize; wsize -= wp[wsize - 1] == 0; MPZ_REALLOC (w, wsize); MPN_COPY (PTR(w), wp, wsize); SIZ(w) = sign_product < 0 ? -wsize : wsize; __GMP_FREE_FUNC_LIMBS (wp, talloc); } void dump_abort (int i, const char *s, mpz_t op1, mpz_t op2, mpz_t product, mpz_t ref_product) { mp_size_t b, e; fprintf (stderr, "ERROR: %s in test %d\n", s, i); fprintf (stderr, "op1 = "); debug_mp (op1); fprintf (stderr, "op2 = "); debug_mp (op2); fprintf (stderr, " product = "); debug_mp (product); fprintf (stderr, "ref_product = "); debug_mp (ref_product); for (b = 0; b < ABSIZ(ref_product); b++) if (PTR(ref_product)[b] != PTR(product)[b]) break; for (e = ABSIZ(ref_product) - 1; e >= 0; e--) if (PTR(ref_product)[e] != PTR(product)[e]) break; printf ("ERRORS in %ld--%ld\n", b, e); abort(); } void debug_mp (mpz_t x) { size_t siz = mpz_sizeinbase (x, 16); if (siz > 65) { mpz_t q; mpz_init (q); mpz_tdiv_q_2exp (q, x, 4 * (mpz_sizeinbase (x, 16) - 25)); gmp_fprintf (stderr, "%ZX...", q); mpz_tdiv_r_2exp (q, x, 4 * 25); gmp_fprintf (stderr, "%025ZX [%d]\n", q, (int) siz); mpz_clear (q); } else { gmp_fprintf (stderr, "%ZX\n", x); } }