354 lines
10 KiB
C
354 lines
10 KiB
C
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/*=============================================================================
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This file is part of FLINT.
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FLINT is free software; you can redistribute it and/or modify
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it under the terms of the GNU General Public License as published by
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the Free Software Foundation; either version 2 of the License, or
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(at your option) any later version.
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FLINT is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU General Public License for more details.
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You should have received a copy of the GNU General Public License
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along with FLINT; if not, write to the Free Software
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Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
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=============================================================================*/
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/******************************************************************************
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Copyright (C) 2012 Lina Kulakova
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******************************************************************************/
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#include <stdio.h>
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#include <stdlib.h>
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#include <sys/types.h>
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#include <time.h>
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#include <unistd.h>
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#include <gmp.h>
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#include "flint.h"
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#include "nmod_poly.h"
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#define NP 100 /* number of moduli */
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#define ND 8 /* number of degrees */
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/*
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Benchmarking code for factorisation in nmod_poly.
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Test how the relation between n (degree of polynomial) and p
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affects working time for Cantor-Zassenhaus, Berlekamp and
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Kaltofen-Shoup algorithms. p and n are chosen independently.
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*/
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int main(void)
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{
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FLINT_TEST_INIT(state);
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nmod_poly_t f, g;
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nmod_poly_factor_t res;
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mp_limb_t modulus;
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int i, j, k, n, num;
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double t, T1, T2, T3, T4;
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const slong degs[] = {8, 16, 32, 64, 128, 256, 512, 1024};
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const int iter_count[] = {10000, 5000, 1000, 500, 300, 100, 50, 20};
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flint_printf("Random polynomials\n");
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for (i = 0; i < NP; i++)
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{
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modulus = n_randtest_prime(state, 0);
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flint_printf("========== p: %wu\n", modulus);
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fflush(stdout);
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for (j = 0; j < ND; j++)
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{
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n = degs[j];
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flint_printf(">>>>>n: %d\n", n);
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fflush(stdout);
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T1 = 0;
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T2 = 0;
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T3 = 0;
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for (k = 0; k < iter_count[j]; k++)
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{
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nmod_poly_init(f, modulus);
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nmod_poly_randtest_not_zero(f, state, n);
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t = clock();
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nmod_poly_factor_init(res);
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nmod_poly_factor_with_cantor_zassenhaus(res, f);
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nmod_poly_factor_clear(res);
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t = (clock() - t) / CLOCKS_PER_SEC;
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T1 += t;
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t = clock();
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nmod_poly_factor_init(res);
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nmod_poly_factor_with_berlekamp(res, f);
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nmod_poly_factor_clear(res);
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t = (clock() - t) / CLOCKS_PER_SEC;
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T2 += t;
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t = clock();
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nmod_poly_factor_init(res);
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nmod_poly_factor_kaltofen_shoup(res, f);
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nmod_poly_factor_clear(res);
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t = (clock() - t) / CLOCKS_PER_SEC;
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T3 += t;
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nmod_poly_clear(f);
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}
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flint_printf("CZ: %.2lf B: %.2lf KS: %.2lf\n", T1, T2, T3);
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fflush(stdout);
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if (T1 > T3 + 1)
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break;
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}
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}
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/* This code checks whether nmod_poly_factor
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made a correct choice between CZ, B and KS */
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flint_printf("Check choice correctness\n");
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for (i = 0; i < NP; i++)
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{
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modulus = n_randtest_prime(state, 0);
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flint_printf("========== p: %wu\n", modulus);
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fflush(stdout);
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for (j = 0; j < ND; j++)
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{
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n = degs[j];
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flint_printf(">>>>>n: %d\n", n);
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fflush(stdout);
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T1 = 0;
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T2 = 0;
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T3 = 0;
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T4 = 0;
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for (k = 0; k < iter_count[j]; k++)
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{
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nmod_poly_init(f, modulus);
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nmod_poly_randtest_not_zero(f, state, n);
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t = clock();
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nmod_poly_factor_init(res);
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nmod_poly_factor_with_cantor_zassenhaus(res, f);
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nmod_poly_factor_clear(res);
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t = (clock() - t) / CLOCKS_PER_SEC;
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T1 += t;
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t = clock();
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nmod_poly_factor_init(res);
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nmod_poly_factor_berlekamp(res, f);
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nmod_poly_factor_clear(res);
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t = (clock() - t) / CLOCKS_PER_SEC;
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T2 += t;
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t = clock();
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nmod_poly_factor_init(res);
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nmod_poly_factor_kaltofen_shoup(res, f);
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nmod_poly_factor_clear(res);
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t = (clock() - t) / CLOCKS_PER_SEC;
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T3 += t;
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t = clock();
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nmod_poly_factor_init(res);
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nmod_poly_factor(res, f);
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nmod_poly_factor_clear(res);
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t = (clock() - t) / CLOCKS_PER_SEC;
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T4 += t;
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nmod_poly_clear(f);
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}
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flint_printf("CZ: %.2lf B: %.2lf KS: %.2lf F: %.2lf\n", T1, T2, T3, T4);
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fflush(stdout);
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if (T1 > T3 + 1)
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break;
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}
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}
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flint_printf("Irreducible polynomials\n");
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for (i = 0; i < NP; i++)
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{
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modulus = n_randtest_prime(state, 0);
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flint_printf("========== p: %wu\n", modulus);
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fflush(stdout);
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for (j = 0; j < ND; j++)
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{
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n = degs[j];
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flint_printf(">>>>>n: %d\n", n);
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fflush(stdout);
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T1 = 0;
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T2 = 0;
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T3 = 0;
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for (k = 0; k < iter_count[j]; k++)
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{
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nmod_poly_init(f, modulus);
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nmod_poly_randtest_irreducible(f, state, n);
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t = clock();
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nmod_poly_factor_init(res);
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nmod_poly_factor_with_cantor_zassenhaus(res, f);
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nmod_poly_factor_clear(res);
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t = (clock() - t) / CLOCKS_PER_SEC;
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T1 += t;
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t = clock();
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nmod_poly_factor_init(res);
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nmod_poly_factor_with_berlekamp(res, f);
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nmod_poly_factor_clear(res);
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t = (clock() - t) / CLOCKS_PER_SEC;
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T2 += t;
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t = clock();
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nmod_poly_factor_init(res);
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nmod_poly_factor_kaltofen_shoup(res, f);
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nmod_poly_factor_clear(res);
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t = (clock() - t) / CLOCKS_PER_SEC;
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T3 += t;
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nmod_poly_clear(f);
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}
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flint_printf("CZ: %.2lf B: %.2lf KS: %.2lf\n", T1, T2, T3);
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fflush(stdout);
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if (T1 > T3 + 1)
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break;
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}
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}
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flint_printf("Product of two irreducible polynomials\n");
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for (i = 0; i < NP; i++)
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{
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modulus = n_randtest_prime(state, 0);
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flint_printf("========== p: %wu\n", modulus);
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fflush(stdout);
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for (j = 0; j < ND; j++)
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{
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n = (degs[j] >> 1);
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flint_printf(">>>>>n: %d\n", n);
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fflush(stdout);
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T1 = 0;
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T2 = 0;
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T3 = 0;
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for (k = 0; k < iter_count[j]; k++)
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{
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nmod_poly_init(f, modulus);
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nmod_poly_init(g, modulus);
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nmod_poly_randtest_irreducible(f, state, n);
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nmod_poly_randtest_irreducible(g, state, n);
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nmod_poly_mul(f, f, g);
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t = clock();
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nmod_poly_factor_init(res);
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nmod_poly_factor_with_cantor_zassenhaus(res, f);
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nmod_poly_factor_clear(res);
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t = (clock() - t) / CLOCKS_PER_SEC;
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T1 += t;
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t = clock();
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nmod_poly_factor_init(res);
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nmod_poly_factor_with_berlekamp(res, f);
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nmod_poly_factor_clear(res);
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t = (clock() - t) / CLOCKS_PER_SEC;
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T2 += t;
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t = clock();
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nmod_poly_factor_init(res);
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nmod_poly_factor_kaltofen_shoup(res, f);
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nmod_poly_factor_clear(res);
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t = (clock() - t) / CLOCKS_PER_SEC;
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T3 += t;
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nmod_poly_clear(f);
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nmod_poly_clear(g);
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}
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flint_printf("CZ: %.2lf B: %.2lf KS: %.2lf\n", T1, T2, T3);
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fflush(stdout);
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if (T1 > T3 + 1)
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break;
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}
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}
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flint_printf("Product of 8 small irreducible polynomials\n");
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for (i = 0; i < NP; i++)
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{
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modulus = n_randtest_prime(state, 0);
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flint_printf("========== p: %wu\n", modulus);
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fflush(stdout);
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for (j = 1; j < ND; j++)
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{
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n = (degs[j] >> 3);
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flint_printf(">>>>>n: %d\n", n);
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fflush(stdout);
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T1 = 0;
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T2 = 0;
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T3 = 0;
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for (k = 0; k < iter_count[j]; k++)
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{
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nmod_poly_init(f, modulus);
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nmod_poly_init(g, modulus);
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nmod_poly_randtest_irreducible(f, state, n);
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for (num = 1; num < 8; num++)
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{
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nmod_poly_randtest_irreducible(g, state, n);
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nmod_poly_mul(f, f, g);
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}
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t = clock();
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nmod_poly_factor_init(res);
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nmod_poly_factor_with_cantor_zassenhaus(res, f);
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nmod_poly_factor_clear(res);
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t = (clock() - t) / CLOCKS_PER_SEC;
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T1 += t;
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t = clock();
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nmod_poly_factor_init(res);
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nmod_poly_factor_with_berlekamp(res, f);
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nmod_poly_factor_clear(res);
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t = (clock() - t) / CLOCKS_PER_SEC;
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T2 += t;
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t = clock();
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nmod_poly_factor_init(res);
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nmod_poly_factor_kaltofen_shoup(res, f);
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nmod_poly_factor_clear(res);
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t = (clock() - t) / CLOCKS_PER_SEC;
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T3 += t;
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nmod_poly_clear(f);
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nmod_poly_clear(g);
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}
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flint_printf("CZ: %.2lf B: %.2lf KS: %.2lf\n", T1, T2, T3);
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fflush(stdout);
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if (T1 > T3 + 1)
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break;
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}
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}
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flint_randclear(state);
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return EXIT_SUCCESS;
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}
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