/* Test mpz_cmp, mpz_mul. Copyright 1991, 1993, 1994, 1996, 1997, 2000, 2001, 2002, 2003, 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 http://www.gnu.org/licenses/. */ #include #include #include "gmp.h" #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); 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); } }