302 lines
9.5 KiB
C
302 lines
9.5 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) 2009 William Hart
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Copyright (C) 2011 Fredrik Johansson
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Copyright (C) 2013 Martin Lee
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******************************************************************************/
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#include <stdio.h>
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#include <stdlib.h>
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#include <gmp.h>
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#include "flint.h"
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#include "nmod_vec.h"
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#include "nmod_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("mulmod_preinv....");
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fflush(stdout);
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/* Aliasing res and a */
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for (i = 0; i < 50 * flint_test_multiplier(); i++)
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{
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nmod_poly_t a, b, res, t, f, finv;
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mp_limb_t n = n_randtest_prime(state, 0);
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nmod_poly_init(a, n);
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nmod_poly_init(b, n);
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nmod_poly_init(f, n);
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nmod_poly_init(finv, n);
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nmod_poly_init(res, n);
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nmod_poly_init(t, n);
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nmod_poly_randtest(a, state, n_randint(state, 50));
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nmod_poly_randtest(b, state, n_randint(state, 50));
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do {
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nmod_poly_randtest(f, state, n_randint(state, 50));
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} while (nmod_poly_is_zero(f));
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if (a->length >= f->length)
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nmod_poly_rem (a, a, f);
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if (b->length >= f->length)
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nmod_poly_rem (b, b, f);
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nmod_poly_reverse(finv, f, f->length);
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nmod_poly_inv_series(finv, finv, f->length);
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nmod_poly_mulmod_preinv(res, a, b, f, finv);
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nmod_poly_mulmod_preinv(a, a, b, f, finv);
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result = (nmod_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"); nmod_poly_print(a), flint_printf("\n\n");
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flint_printf("b:\n"); nmod_poly_print(b), flint_printf("\n\n");
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flint_printf("f:\n"); nmod_poly_print(f), flint_printf("\n\n");
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flint_printf("res1:\n"); nmod_poly_print(res), flint_printf("\n\n");
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abort();
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}
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nmod_poly_clear(a);
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nmod_poly_clear(b);
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nmod_poly_clear(f);
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nmod_poly_clear(finv);
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nmod_poly_clear(res);
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nmod_poly_clear(t);
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}
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/* Aliasing res and b */
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for (i = 0; i < 50 * flint_test_multiplier(); i++)
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{
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nmod_poly_t a, b, res, t, f, finv;
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mp_limb_t n = n_randtest_prime(state, 0);
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nmod_poly_init(a, n);
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nmod_poly_init(b, n);
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nmod_poly_init(f, n);
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nmod_poly_init(finv, n);
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nmod_poly_init(res, n);
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nmod_poly_init(t, n);
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nmod_poly_randtest(a, state, n_randint(state, 50));
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nmod_poly_randtest(b, state, n_randint(state, 50));
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do {
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nmod_poly_randtest(f, state, n_randint(state, 50));
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} while (nmod_poly_is_zero(f));
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if (a->length >= f->length)
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nmod_poly_rem (a, a, f);
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if (b->length >= f->length)
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nmod_poly_rem (b, b, f);
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nmod_poly_reverse(finv, f, f->length);
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nmod_poly_inv_series(finv, finv, f->length);
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nmod_poly_mulmod_preinv(res, a, b, f, finv);
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nmod_poly_mulmod_preinv(b, a, b, f, finv);
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result = (nmod_poly_equal(res, b));
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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"); nmod_poly_print(a), flint_printf("\n\n");
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flint_printf("b:\n"); nmod_poly_print(b), flint_printf("\n\n");
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flint_printf("f:\n"); nmod_poly_print(f), flint_printf("\n\n");
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flint_printf("res1:\n"); nmod_poly_print(res), flint_printf("\n\n");
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abort();
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}
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nmod_poly_clear(a);
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nmod_poly_clear(b);
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nmod_poly_clear(f);
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nmod_poly_clear(finv);
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nmod_poly_clear(res);
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nmod_poly_clear(t);
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}
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/* Aliasing res and f */
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for (i = 0; i < 50 * flint_test_multiplier(); i++)
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{
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nmod_poly_t a, b, res, t, f, finv;
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mp_limb_t n = n_randtest_prime(state, 0);
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nmod_poly_init(a, n);
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nmod_poly_init(b, n);
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nmod_poly_init(f, n);
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nmod_poly_init(finv, n);
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nmod_poly_init(res, n);
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nmod_poly_init(t, n);
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nmod_poly_randtest(a, state, n_randint(state, 50));
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nmod_poly_randtest(b, state, n_randint(state, 50));
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do {
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nmod_poly_randtest(f, state, n_randint(state, 50));
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} while (nmod_poly_is_zero(f));
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if (a->length >= f->length)
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nmod_poly_rem (a, a, f);
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if (b->length >= f->length)
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nmod_poly_rem (b, b, f);
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nmod_poly_reverse(finv, f, f->length);
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nmod_poly_inv_series(finv, finv, f->length);
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nmod_poly_mulmod_preinv(res, a, b, f, finv);
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nmod_poly_mulmod_preinv(f, a, b, f, finv);
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result = (nmod_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"); nmod_poly_print(a), flint_printf("\n\n");
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flint_printf("b:\n"); nmod_poly_print(b), flint_printf("\n\n");
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flint_printf("f:\n"); nmod_poly_print(f), flint_printf("\n\n");
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flint_printf("res1:\n"); nmod_poly_print(res), flint_printf("\n\n");
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abort();
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}
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nmod_poly_clear(a);
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nmod_poly_clear(b);
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nmod_poly_clear(f);
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nmod_poly_clear(finv);
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nmod_poly_clear(res);
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nmod_poly_clear(t);
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}
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/* Aliasing res and finv */
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for (i = 0; i < 50 * flint_test_multiplier(); i++)
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{
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nmod_poly_t a, b, res, t, f, finv;
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mp_limb_t n = n_randtest_prime(state, 0);
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nmod_poly_init(a, n);
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nmod_poly_init(b, n);
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nmod_poly_init(f, n);
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nmod_poly_init(finv, n);
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nmod_poly_init(res, n);
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nmod_poly_init(t, n);
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nmod_poly_randtest(a, state, n_randint(state, 50));
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nmod_poly_randtest(b, state, n_randint(state, 50));
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do {
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nmod_poly_randtest(f, state, n_randint(state, 50));
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} while (nmod_poly_is_zero(f));
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if (a->length >= f->length)
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nmod_poly_rem (a, a, f);
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if (b->length >= f->length)
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nmod_poly_rem (b, b, f);
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nmod_poly_reverse(finv, f, f->length);
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nmod_poly_inv_series(finv, finv, f->length);
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nmod_poly_mulmod_preinv(res, a, b, f, finv);
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nmod_poly_mulmod_preinv(finv, a, b, f, finv);
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result = (nmod_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"); nmod_poly_print(a), flint_printf("\n\n");
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flint_printf("b:\n"); nmod_poly_print(b), flint_printf("\n\n");
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flint_printf("f:\n"); nmod_poly_print(f), flint_printf("\n\n");
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flint_printf("finv:\n"); nmod_poly_print(finv), flint_printf("\n\n");
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flint_printf("res1:\n"); nmod_poly_print(res), flint_printf("\n\n");
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abort();
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}
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nmod_poly_clear(a);
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nmod_poly_clear(b);
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nmod_poly_clear(f);
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nmod_poly_clear(finv);
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nmod_poly_clear(res);
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nmod_poly_clear(t);
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}
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/* No aliasing */
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for (i = 0; i < 100 * flint_test_multiplier(); i++)
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{
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nmod_poly_t a, b, res1, res2, t, f, finv;
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mp_limb_t n = n_randtest_prime(state, 0);
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nmod_poly_init(a, n);
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nmod_poly_init(b, n);
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nmod_poly_init(f, n);
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nmod_poly_init(finv, n);
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nmod_poly_init(res1, n);
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nmod_poly_init(res2, n);
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nmod_poly_init(t, n);
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nmod_poly_randtest(a, state, n_randint(state, 50));
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nmod_poly_randtest(b, state, n_randint(state, 50));
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do {
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nmod_poly_randtest(f, state, n_randint(state, 50));
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} while (nmod_poly_is_zero(f));
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if (a->length >= f->length)
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nmod_poly_rem (a, a, f);
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if (b->length >= f->length)
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nmod_poly_rem (b, b, f);
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nmod_poly_reverse(finv, f, f->length);
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nmod_poly_inv_series(finv, finv, f->length);
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nmod_poly_mulmod_preinv(res1, a, b, f, finv);
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nmod_poly_mul(res2, a, b);
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nmod_poly_divrem(t, res2, res2, f);
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result = (nmod_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"); nmod_poly_print(a), flint_printf("\n\n");
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flint_printf("b:\n"); nmod_poly_print(b), flint_printf("\n\n");
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flint_printf("f:\n"); nmod_poly_print(f), flint_printf("\n\n");
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flint_printf("res1:\n"); nmod_poly_print(res1), flint_printf("\n\n");
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flint_printf("res2:\n"); nmod_poly_print(res2), flint_printf("\n\n");
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abort();
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}
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nmod_poly_clear(a);
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nmod_poly_clear(b);
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nmod_poly_clear(f);
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nmod_poly_clear(finv);
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nmod_poly_clear(res1);
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nmod_poly_clear(res2);
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nmod_poly_clear(t);
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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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