/*============================================================================= This file is part of FLINT. FLINT 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 of the License, or (at your option) any later version. FLINT 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 FLINT; if not, write to the Free Software Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA =============================================================================*/ /****************************************************************************** Copyright (C) 2013 William Hart ******************************************************************************/ #include #include #include #include #include "profiler.h" #include "flint.h" #include "longlong.h" #include "mpn_extras.h" #include "ulong_extras.h" #define mock_mulmod_preinvn(rxx, axx, bxx, nnn, nxx, ninv, norm) \ do { \ mp_ptr __t; \ TMP_INIT; \ \ TMP_START; \ __t = TMP_ALLOC(3*(nnn)*sizeof(mp_limb_t)); \ \ mpn_mul_n(__t, axx, bxx, nnn); \ if (norm) \ mpn_rshift(__t, __t, 2*(nnn), norm); \ \ mpn_tdiv_qr(__t + 2*(nnn), rxx, 0, __t, 2*(nnn), nxx, nnn); \ TMP_END; \ } while (0) typedef struct { slong limbs; int algo; } info_t; void sample(void * arg, ulong count) { info_t * info = (info_t *) arg; slong size = info->limbs, i, j; int algo = info->algo; int scale = 200; mpz_t a, b, d, r2; gmp_randstate_t st; FLINT_TEST_INIT(state); mp_ptr dinv; mp_bitcnt_t norm; mpz_init(a); mpz_init(b); mpz_init(d); /* don't init r2 */ gmp_randinit_default(st); for (i = 0; i < count; i++) { mpz_rrandomb(a, st, size*FLINT_BITS); mpz_rrandomb(b, st, size*FLINT_BITS); do { mpz_rrandomb(d, st, size*FLINT_BITS); } while (mpz_sgn(d) == 0); /* reduce a, b mod d */ mpz_fdiv_r(a, a, d); mpz_fdiv_r(b, b, d); /* normalise */ count_leading_zeros(norm, d->_mp_d[d->_mp_size - 1]); mpz_mul_2exp(a, a, norm); mpz_mul_2exp(b, b, norm); mpz_mul_2exp(d, d, norm); dinv = flint_malloc(size*sizeof(mp_limb_t)); flint_mpn_preinvn(dinv, d->_mp_d, size); r2->_mp_d = flint_malloc(size*sizeof(mp_limb_t)); prof_start(); if (algo == 1) { for (j = 0; j < scale; j++) { flint_mpn_mulmod_preinvn(r2->_mp_d, a->_mp_d, b->_mp_d, size, d->_mp_d, dinv, norm); } } else { for (j = 0; j < scale; j++) { mock_mulmod_preinvn(r2->_mp_d, a->_mp_d, b->_mp_d, size, d->_mp_d, dinv, norm); } } prof_stop(); flint_free(r2->_mp_d); flint_free(dinv); } mpz_clear(a); mpz_clear(b); mpz_clear(d); /* don't init r2 */ gmp_randclear(st); flint_randclear(state); } int main(void) { double min, max; info_t info; slong k, scale; printf("1: With precomputed inverse\n"); printf("2: Without precomputed inverse\n\n"); for (k = 1; k <= 10000; k = (slong) ceil(1.1*k)) { info.limbs = k; info.algo = 1; scale = 200; prof_repeat(&min, &max, sample, (void *) &info); flint_printf("1: limbs %wd, min %.3g ms, max %.3g ms\n", info.limbs, ((min/(double)FLINT_CLOCK_SCALE_FACTOR)/scale)/2400000.0, ((max/(double)FLINT_CLOCK_SCALE_FACTOR)/scale)/2400000.0 ); info.algo = 2; prof_repeat(&min, &max, sample, (void *) &info); flint_printf("2: limbs %wd, min %.3g ms, max %.3g ms\n\n", info.limbs, ((min/(double)FLINT_CLOCK_SCALE_FACTOR)/scale)/2400000.0, ((max/(double)FLINT_CLOCK_SCALE_FACTOR)/scale)/2400000.0 ); } return 0; }