/*============================================================================= 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) 2010 Sebastian Pancratz ******************************************************************************/ #include #include #include #include #include "flint.h" #include "fmpz.h" #include "fmpz_poly.h" void fmpz_poly_gmprand(fmpz_poly_t rop, gmp_randstate_t state, slong len, slong bits) { slong i; mpz_t c; fmpz_t d; mpz_init(c); fmpz_init(d); fmpz_poly_zero(rop); fmpz_poly_fit_length(rop, len); for (i = 0; i < len; i++) { mpz_urandomb(c, state, bits); if (rand() & WORD(1)) mpz_neg(c, c); fmpz_set_mpz(d, c); fmpz_poly_set_coeff_fmpz(rop, i, d); } mpz_clear(c); fmpz_clear(d); } #define lenlo 1 #define lenhi 100 #define lenh 5 #define bitslo 16 #define bitshi 80 #define bitsh 32 #define cols ((lenhi + 1 - lenlo + (lenh - 1)) / lenh) #define rows ((bitshi + 1 - bitslo + (bitsh - 1)) / bitsh) #define cpumin 10 #define ncases 100 int main(void) { int i, j, len, bits; double X[rows][cols]; fmpz_poly_t f, g, q, r; gmp_randstate_t state; gmp_randinit_default(state); gmp_randseed_ui(state, UWORD(362436069)); srand(UWORD(521288629)); fmpz_poly_init(f); fmpz_poly_init(g); fmpz_poly_init(q); fmpz_poly_init(r); fmpz_poly_fit_length(f, 2 * lenhi - 1); fmpz_poly_fit_length(g, lenhi); fmpz_poly_fit_length(q, lenhi); fmpz_poly_fit_length(r, 2 * lenhi - 1); flint_printf("3 2 1"); for (len = lenlo, j = 0; len <= lenhi; len += lenh, j++) { for (bits = bitslo, i = 0; bits <= bitshi; bits += bitsh, i++) { int c, n, reps = 0; slong s = WORD(0); for (n = 0; n < ncases; n++) { clock_t c0, c1; int l, loops = 1; /* Construct random polynomials f and g */ { fmpz_poly_gmprand(f, state, 2*len - 1, bits); fmpz_poly_gmprand(g, state, len, bits); } loop: c0 = clock(); for (l = 0; l < loops; l++) { fmpz_poly_div_divconquer(q, f, g); } c1 = clock(); if (c1 - c0 <= cpumin) { loops *= 10; goto loop; } s += c1 - c0; reps += loops; } X[i][j] = (double) s / (double) reps; flint_printf(" ."); fflush(stdout); } } flint_printf("\n"); fmpz_poly_clear(f); fmpz_poly_clear(g); fmpz_poly_clear(q); fmpz_poly_clear(r); for (i = 0; i < rows; i++) { for (j = 0; j < cols; j++) flint_printf("%8.3f", X[i][j]); flint_printf("\n"); } gmp_randclear(state); }