/*============================================================================= 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) 2012 Sebastian Pancratz ******************************************************************************/ /* Benchmarks for the q-adic multiplication routine. We consider the set-up with p = 17, N = 2^i, i = 0, ..., 19, and compute A*B mod p^N, where A = [a{0},...,a{d-1}], where a{i} = (3+i)^{3N}, B = [b{0},...,b{d-1}], where b{i} = (5+2*i)^{3N}, */ #include #include #include #include #include #include #include "flint.h" #include "fmpz.h" #include "qadic.h" int main(void) { slong l, len = 20; slong runs[] = { 100000, 10000, 10000, 10000, 10000, 1000, 1000, 1000, 1000, 100, 100, 10, 10, 10, 1, 1, 1, 1, 1, 1 }; slong N[] = { 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, WORD(1) << 11, WORD(1) << 12, WORD(1) << 13, WORD(1) << 14, WORD(1) << 15, WORD(1) << 16, WORD(1) << 17, WORD(1) << 18, WORD(1) << 19 }; slong T[20] = {0}; flint_printf("Benchmark for q-adic multiplication.\n"); fflush(stdout); for (l = 0; l < len; l++) { FLINT_TEST_INIT(state); slong d = 97, i, n = N[l], r; clock_t c0, c1; long double cputime; fmpz_t p; qadic_ctx_t ctx; qadic_t a, b, z; fmpz_init_set_ui(p, 17); qadic_ctx_init_conway(ctx, p, d, n, n, "X", PADIC_VAL_UNIT); qadic_init(a); qadic_init(b); qadic_init(z); padic_poly_fit_length(a, d); _padic_poly_set_length(a, d); a->val = 0; padic_poly_fit_length(b, d); _padic_poly_set_length(b, d); b->val = 0; for (i = 0; i < d; i++) { fmpz_t f, pow; fmpz_init(f); fmpz_init(pow); fmpz_pow_ui(pow, p, n); fmpz_set_ui(f, 3 + i); fmpz_pow_ui(a->coeffs + i, f, 3 * n); fmpz_mod(a->coeffs + i, a->coeffs + i, pow); fmpz_set_ui(f, 5 + 2*i); fmpz_pow_ui(b->coeffs + i, f, 3 * n); fmpz_mod(b->coeffs + i, b->coeffs + i, pow); fmpz_clear(f); fmpz_clear(pow); } _padic_poly_normalise(a); _padic_poly_normalise(b); c0 = clock(); for (r = runs[l]; (r); r--) { qadic_mul(z, a, b, ctx); qadic_zero(z); } c1 = clock(); cputime = (long double) (c1 - c0) / (long double) CLOCKS_PER_SEC; T[l] = (slong) (cputime * (1000000000 / runs[l])); flint_printf("%2ld, %4XYXYXYXY, %8ld, %wd\n", l, cputime, runs[l], T[l]); qadic_clear(a); qadic_clear(b); qadic_clear(z); fmpz_clear(p); qadic_ctx_clear(ctx); flint_randclear(state); } flint_printf("Output as a list:\n"); for (l = 0; l < len; l++) flint_printf("%wd, ", T[l]); flint_printf("\n"); }