/* Test mpz_add, mpz_cmp, mpz_cmp_ui, mpz_divmod, mpz_mul. Copyright (C) 1991, 1993, 1994, 1996 Free Software Foundation, Inc. This file is part of the GNU MP Library. The GNU MP Library is free software; you can redistribute it and/or modify it under the terms of the GNU Library General Public License as published by the Free Software Foundation; either version 2 of the License, or (at your option) any later version. The GNU MP Library 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 Library General Public License for more details. You should have received a copy of the GNU Library General Public License along with the GNU MP Library; see the file COPYING.LIB. If not, write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. */ #include #include "gmp.h" #include "gmp-impl.h" #include "longlong.h" #include "urandom.h" void debug_mp (); mp_size_t _mpn_mul_classic (); void mpz_refmul (); #ifndef SIZE #define SIZE 128 #endif main (argc, argv) int argc; char **argv; { mpz_t multiplier, multiplicand; mpz_t product, ref_product; mpz_t quotient, remainder; mp_size_t multiplier_size, multiplicand_size; int i; int reps = 10000; if (argc == 2) reps = atoi (argv[1]); mpz_init (multiplier); mpz_init (multiplicand); mpz_init (product); mpz_init (ref_product); mpz_init (quotient); mpz_init (remainder); for (i = 0; i < reps; i++) { multiplier_size = urandom () % SIZE - SIZE/2; multiplicand_size = urandom () % SIZE - SIZE/2; mpz_random2 (multiplier, multiplier_size); mpz_random2 (multiplicand, multiplicand_size); mpz_mul (product, multiplier, multiplicand); mpz_refmul (ref_product, multiplier, multiplicand); if (mpz_cmp_ui (multiplicand, 0) != 0) mpz_divmod (quotient, remainder, product, multiplicand); if (mpz_cmp (product, ref_product)) dump_abort (multiplier, multiplicand); if (mpz_cmp_ui (multiplicand, 0) != 0) if (mpz_cmp_ui (remainder, 0) || mpz_cmp (quotient, multiplier)) dump_abort (multiplier, multiplicand); } exit (0); } void mpz_refmul (w, u, v) 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_ptr free_me = NULL; size_t free_me_size; TMP_DECL (marker); TMP_MARK (marker); sign_product = usize ^ vsize; usize = ABS (usize); vsize = ABS (vsize); if (usize < vsize) { /* Swap U and V. */ {const __mpz_struct *t = u; u = v; v = t;} {mp_size_t t = usize; usize = vsize; vsize = t;} } up = u->_mp_d; vp = v->_mp_d; wp = w->_mp_d; /* Ensure W has space enough to store the result. */ wsize = usize + vsize; if (w->_mp_alloc < wsize) { if (wp == up || wp == vp) { free_me = wp; free_me_size = w->_mp_alloc; } else (*_mp_free_func) (wp, w->_mp_alloc * BYTES_PER_MP_LIMB); w->_mp_alloc = wsize; wp = (mp_ptr) (*_mp_allocate_func) (wsize * BYTES_PER_MP_LIMB); w->_mp_d = wp; } else { /* Make U and V not overlap with W. */ if (wp == up) { /* W and U are identical. Allocate temporary space for U. */ up = (mp_ptr) TMP_ALLOC (usize * BYTES_PER_MP_LIMB); /* Is V identical too? Keep it identical with U. */ if (wp == vp) vp = up; /* Copy to the temporary space. */ MPN_COPY (up, wp, usize); } else if (wp == vp) { /* W and V are identical. Allocate temporary space for V. */ vp = (mp_ptr) TMP_ALLOC (vsize * BYTES_PER_MP_LIMB); /* Copy to the temporary space. */ MPN_COPY (vp, wp, vsize); } } wsize = _mpn_mul_classic (wp, up, usize, vp, vsize); w->_mp_size = sign_product < 0 ? -wsize : wsize; if (free_me != NULL) (*_mp_free_func) (free_me, free_me_size * BYTES_PER_MP_LIMB); TMP_FREE (marker); } mp_size_t _mpn_mul_classic (prodp, up, usize, vp, vsize) mp_ptr prodp; mp_srcptr up; mp_size_t usize; mp_srcptr vp; mp_size_t vsize; { mp_size_t i, j; mp_limb_t prod_low, prod_high; mp_limb_t cy_dig; mp_limb_t v_limb, c; if (vsize == 0) return 0; /* Offset UP and PRODP so that the inner loop can be faster. */ up += usize; prodp += usize; /* Multiply by the first limb in V separately, as the result can be stored (not added) to PROD. We also avoid a loop for zeroing. */ v_limb = vp[0]; cy_dig = 0; j = -usize; do { umul_ppmm (prod_high, prod_low, up[j], v_limb); add_ssaaaa (cy_dig, prodp[j], prod_high, prod_low, 0, cy_dig); j++; } while (j < 0); prodp[j] = cy_dig; prodp++; /* For each iteration in the outer loop, multiply one limb from U with one limb from V, and add it to PROD. */ for (i = 1; i < vsize; i++) { v_limb = vp[i]; cy_dig = 0; j = -usize; /* Inner loops. Simulate the carry flag by jumping between these loops. The first is used when there was no carry in the previois iteration; the second when there was carry. */ do { umul_ppmm (prod_high, prod_low, up[j], v_limb); add_ssaaaa (cy_dig, prod_low, prod_high, prod_low, 0, cy_dig); c = prodp[j]; prod_low += c; prodp[j] = prod_low; if (prod_low < c) goto cy_loop; ncy_loop: j++; } while (j < 0); prodp[j] = cy_dig; prodp++; continue; do { umul_ppmm (prod_high, prod_low, up[j], v_limb); add_ssaaaa (cy_dig, prod_low, prod_high, prod_low, 0, cy_dig); c = prodp[j]; prod_low += c + 1; prodp[j] = prod_low; if (prod_low > c) goto ncy_loop; cy_loop: j++; } while (j < 0); cy_dig += 1; prodp[j] = cy_dig; prodp++; } return usize + vsize - (cy_dig == 0); } dump_abort (multiplier, multiplicand) mpz_t multiplier, multiplicand; { fprintf (stderr, "ERROR\n"); fprintf (stderr, "multiplier = "); debug_mp (multiplier, -16); fprintf (stderr, "multiplicand = "); debug_mp (multiplicand, -16); abort(); } void debug_mp (x, base) mpz_t x; { mpz_out_str (stderr, base, x); fputc ('\n', stderr); }