295 lines
9.2 KiB
C
295 lines
9.2 KiB
C
/*=============================================================================
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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) 2009 William Hart
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Copyright (C) 2011 Fredrik Johansson
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Copyright (C) 2012 Lina Kulakova
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Copyright (C) 2013 Martin Lee
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******************************************************************************/
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#undef ulong
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#define ulong ulongxx/* interferes with system includes */
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#include <stdlib.h>
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#include <stdio.h>
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#undef ulong
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#include <gmp.h>
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#define ulong mp_limb_t
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#include "flint.h"
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#include "fmpz_vec.h"
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#include "fmpz_mod_poly.h"
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#include "ulong_extras.h"
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int
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main(void)
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{
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int i, result;
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FLINT_TEST_INIT(state);
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flint_printf("powmod_ui_binexp_preinv....");
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fflush(stdout);
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/* Aliasing of res and a */
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for (i = 0; i < 500; i++)
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{
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fmpz_mod_poly_t a, res, f, finv;
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fmpz_t p;
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ulong exp;
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fmpz_init(p);
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fmpz_set_ui(p, n_randtest_prime(state, 0));
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exp = n_randint(state, 50);
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fmpz_mod_poly_init(a, p);
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fmpz_mod_poly_init(f, p);
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fmpz_mod_poly_init(finv, p);
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fmpz_mod_poly_init(res, p);
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fmpz_mod_poly_randtest(a, state, n_randint(state, 50));
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fmpz_mod_poly_randtest_not_zero(f, state, n_randint(state, 50) + 1);
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fmpz_mod_poly_reverse (finv, f, f->length);
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fmpz_mod_poly_inv_series_newton (finv, finv, f->length);
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fmpz_mod_poly_powmod_ui_binexp_preinv(res, a, exp, f, finv);
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fmpz_mod_poly_powmod_ui_binexp_preinv(a, a, exp, f, finv);
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result = (fmpz_mod_poly_equal(res, a));
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if (!result)
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{
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flint_printf("FAIL:\n");
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flint_printf("a:\n"); fmpz_mod_poly_print(a), flint_printf("\n\n");
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flint_printf("f:\n"); fmpz_mod_poly_print(f), flint_printf("\n\n");
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flint_printf("res:\n"); fmpz_mod_poly_print(res), flint_printf("\n\n");
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abort();
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}
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fmpz_clear(p);
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fmpz_mod_poly_clear(a);
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fmpz_mod_poly_clear(f);
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fmpz_mod_poly_clear(finv);
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fmpz_mod_poly_clear(res);
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}
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/* Aliasing of res and f */
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for (i = 0; i < 500; i++)
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{
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fmpz_mod_poly_t a, res, f, finv;
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fmpz_t p;
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ulong exp;
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fmpz_init(p);
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fmpz_set_ui(p, n_randtest_prime(state, 0));
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exp = n_randint(state, 50);
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fmpz_mod_poly_init(a, p);
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fmpz_mod_poly_init(f, p);
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fmpz_mod_poly_init(finv, p);
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fmpz_mod_poly_init(res, p);
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fmpz_mod_poly_randtest(a, state, n_randint(state, 50));
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fmpz_mod_poly_randtest_not_zero(f, state, n_randint(state, 50) + 1);
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fmpz_mod_poly_reverse (finv, f, f->length);
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fmpz_mod_poly_inv_series_newton (finv, finv, f->length);
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fmpz_mod_poly_powmod_ui_binexp_preinv(res, a, exp, f, finv);
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fmpz_mod_poly_powmod_ui_binexp_preinv(f, a, exp, f, finv);
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result = (fmpz_mod_poly_equal(res, f));
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if (!result)
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{
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flint_printf("FAIL:\n");
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flint_printf("a:\n"); fmpz_mod_poly_print(a), flint_printf("\n\n");
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flint_printf("f:\n"); fmpz_mod_poly_print(f), flint_printf("\n\n");
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flint_printf("res:\n"); fmpz_mod_poly_print(res), flint_printf("\n\n");
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abort();
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}
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fmpz_clear(p);
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fmpz_mod_poly_clear(a);
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fmpz_mod_poly_clear(f);
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fmpz_mod_poly_clear(finv);
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fmpz_mod_poly_clear(res);
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}
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/* Aliasing of res and finv */
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for (i = 0; i < 500; i++)
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{
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fmpz_mod_poly_t a, res, f, finv;
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fmpz_t p;
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ulong exp;
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fmpz_init(p);
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fmpz_set_ui(p, n_randtest_prime(state, 0));
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exp = n_randint(state, 50);
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fmpz_mod_poly_init(a, p);
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fmpz_mod_poly_init(f, p);
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fmpz_mod_poly_init(finv, p);
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fmpz_mod_poly_init(res, p);
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fmpz_mod_poly_randtest(a, state, n_randint(state, 50));
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fmpz_mod_poly_randtest_not_zero(f, state, n_randint(state, 50) + 1);
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fmpz_mod_poly_reverse (finv, f, f->length);
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fmpz_mod_poly_inv_series_newton (finv, finv, f->length);
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fmpz_mod_poly_powmod_ui_binexp_preinv(res, a, exp, f, finv);
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fmpz_mod_poly_powmod_ui_binexp_preinv(finv, a, exp, f, finv);
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result = (fmpz_mod_poly_equal(res, finv));
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if (!result)
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{
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flint_printf("FAIL:\n");
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flint_printf("a:\n"); fmpz_mod_poly_print(a), flint_printf("\n\n");
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flint_printf("f:\n"); fmpz_mod_poly_print(f), flint_printf("\n\n");
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flint_printf("finv:\n"); fmpz_mod_poly_print(finv), flint_printf("\n\n");
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flint_printf("res:\n"); fmpz_mod_poly_print(res), flint_printf("\n\n");
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abort();
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}
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fmpz_clear(p);
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fmpz_mod_poly_clear(a);
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fmpz_mod_poly_clear(f);
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fmpz_mod_poly_clear(finv);
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fmpz_mod_poly_clear(res);
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}
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/* No aliasing */
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for (i = 0; i < 1000; i++)
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{
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fmpz_mod_poly_t a, res1, res2, f, finv;
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fmpz_t p;
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ulong exp;
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int j;
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fmpz_init(p);
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fmpz_set_ui(p, n_randtest_prime(state, 0));
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exp = n_randint(state, 50);
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fmpz_mod_poly_init(a, p);
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fmpz_mod_poly_init(f, p);
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fmpz_mod_poly_init(finv, p);
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fmpz_mod_poly_init(res1, p);
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fmpz_mod_poly_init(res2, p);
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fmpz_mod_poly_randtest(a, state, n_randint(state, 50));
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fmpz_mod_poly_randtest_not_zero(f, state, n_randint(state, 50) + 1);
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fmpz_mod_poly_reverse (finv, f, f->length);
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fmpz_mod_poly_inv_series_newton (finv, finv, f->length);
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fmpz_mod_poly_powmod_ui_binexp_preinv(res1, a, exp, f, finv);
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fmpz_mod_poly_zero(res2);
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fmpz_mod_poly_set_coeff_ui(res2, 0, 1);
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for (j = 1; j <= exp; j++)
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fmpz_mod_poly_mulmod(res2, res2, a, f);
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result = (fmpz_mod_poly_equal(res1, res2));
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if (!result)
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{
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flint_printf("FAIL:\n");
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flint_printf("a:\n"); fmpz_mod_poly_print(a), flint_printf("\n\n");
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flint_printf("f:\n"); fmpz_mod_poly_print(f), flint_printf("\n\n");
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flint_printf("finv:\n"); fmpz_mod_poly_print(finv), flint_printf("\n\n");
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flint_printf("res1:\n"); fmpz_mod_poly_print(res1), flint_printf("\n\n");
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flint_printf("res2:\n"); fmpz_mod_poly_print(res2), flint_printf("\n\n");
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abort();
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}
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fmpz_clear(p);
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fmpz_mod_poly_clear(a);
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fmpz_mod_poly_clear(f);
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fmpz_mod_poly_clear(res1);
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fmpz_mod_poly_clear(res2);
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fmpz_mod_poly_clear(finv);
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}
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/* Check that a^(b+c) = a^b * a^c */
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for (i = 0; i < 500; i++)
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{
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fmpz_mod_poly_t a, res1, res2, res3, res4, f, finv;
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fmpz_t p;
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ulong exp1, exp2, exp3;
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fmpz_init(p);
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fmpz_set_ui(p, n_randtest_prime(state, 0));
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exp1 = n_randint(state, 50);
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exp2 = n_randint(state, 50);
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fmpz_mod_poly_init(a, p);
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fmpz_mod_poly_init(f, p);
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fmpz_mod_poly_init(finv, p);
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fmpz_mod_poly_init(res1, p);
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fmpz_mod_poly_init(res2, p);
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fmpz_mod_poly_init(res3, p);
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fmpz_mod_poly_init(res4, p);
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fmpz_mod_poly_randtest(a, state, n_randint(state, 50));
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fmpz_mod_poly_randtest_not_zero(f, state, n_randint(state, 50) + 1);
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fmpz_mod_poly_reverse (finv, f, f->length);
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fmpz_mod_poly_inv_series_newton (finv, finv, f->length);
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fmpz_mod_poly_powmod_ui_binexp_preinv(res1, a, exp1, f, finv);
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fmpz_mod_poly_powmod_ui_binexp_preinv(res2, a, exp2, f, finv);
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fmpz_mod_poly_mulmod(res4, res1, res2, f);
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exp3= exp1+exp2;
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fmpz_mod_poly_powmod_ui_binexp_preinv(res3, a, exp3, f, finv);
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result = (fmpz_mod_poly_equal(res4, res3));
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if (!result)
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{
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flint_printf("FAIL:\n");
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flint_printf("a:\n"); fmpz_mod_poly_print(a), flint_printf("\n\n");
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flint_printf("f:\n"); fmpz_mod_poly_print(f), flint_printf("\n\n");
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flint_printf("res3:\n"); fmpz_mod_poly_print(res3), flint_printf("\n\n");
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flint_printf("res4:\n"); fmpz_mod_poly_print(res4), flint_printf("\n\n");
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abort();
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}
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fmpz_clear(p);
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fmpz_mod_poly_clear(a);
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fmpz_mod_poly_clear(f);
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fmpz_mod_poly_clear(finv);
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fmpz_mod_poly_clear(res1);
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fmpz_mod_poly_clear(res2);
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fmpz_mod_poly_clear(res3);
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fmpz_mod_poly_clear(res4);
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}
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FLINT_TEST_CLEANUP(state);
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flint_printf("PASS\n");
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return 0;
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}
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