/* Test mpz_add, mpz_cmp, mpz_cmp_ui, mpz_divmod, mpz_mul. Copyright (C) 1991, 1993 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 General Public License as published by the Free Software Foundation; either version 2, 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 General Public License for more details. You should have received a copy of the GNU General Public License along with the GNU MP Library; see the file COPYING. If not, write to the Free Software Foundation, 675 Mass Ave, Cambridge, MA 02139, USA. */ #include #include "gmp.h" #include "gmp-impl.h" #include "longlong.h" #include "urandom.h" void debug_mp (); mp_size _mpn_mul_classic (); void mpz_refmul (); #ifndef SIZE #define SIZE 8 #endif main (argc, argv) int argc; char **argv; { MP_INT multiplier, multiplicand; MP_INT product, ref_product; MP_INT quotient, remainder; mp_size multiplier_size, multiplicand_size; int i; int reps = 100000; if (argc == 2) reps = atoi (argv[1]); mpz_init (&multiplier); mpz_init (&multiplicand); mpz_init (&product); mpz_init (&ref_product); mpz_init ("ient); 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 ("ient, &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 ("ient, &multiplier)) dump_abort (&multiplier, &multiplicand); } exit (0); } void mpz_refmul (w, u, v) MP_INT *w; const MP_INT *u; const MP_INT *v; { mp_size usize = u->size; mp_size vsize = v->size; mp_size wsize; mp_size sign_product; mp_ptr up, vp; mp_ptr wp; mp_ptr free_me = NULL; size_t free_me_size; sign_product = usize ^ vsize; usize = ABS (usize); vsize = ABS (vsize); if (usize < vsize) { /* Swap U and V. */ {const MP_INT *t = u; u = v; v = t;} {mp_size t = usize; usize = vsize; vsize = t;} } up = u->d; vp = v->d; wp = w->d; /* Ensure W has space enough to store the result. */ wsize = usize + vsize; if (w->alloc < wsize) { if (wp == up || wp == vp) { free_me = wp; free_me_size = w->alloc; } else (*_mp_free_func) (wp, w->alloc * BYTES_PER_MP_LIMB); w->alloc = wsize; wp = (mp_ptr) (*_mp_allocate_func) (wsize * BYTES_PER_MP_LIMB); w->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) alloca (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) alloca (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->size = sign_product < 0 ? -wsize : wsize; if (free_me != NULL) (*_mp_free_func) (free_me, free_me_size * BYTES_PER_MP_LIMB); alloca (0); } mp_size _mpn_mul_classic (prodp, up, usize, vp, vsize) mp_ptr prodp; mp_srcptr up; mp_size usize; mp_srcptr vp; mp_size vsize; { mp_size n; mp_size prod_size; mp_limb cy; mp_size i, j; mp_limb prod_low, prod_high; mp_limb cy_dig; mp_limb 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) MP_INT *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) MP_INT *x; { mpz_out_str (stderr, base, x); fputc ('\n', stderr); }