120 lines
3.5 KiB
C
120 lines
3.5 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) 2010 Sebastian Pancratz
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Copyright (C) 2011 Fredrik Johansson
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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 "fmpz.h"
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#include "fmpz_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("revert_series_lagrange_fast....");
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fflush(stdout);
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/* Check aliasing */
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for (i = 0; i < 10 * flint_test_multiplier(); i++)
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{
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fmpz_poly_t f, g;
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slong n;
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fmpz_poly_init(f);
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fmpz_poly_init(g);
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fmpz_poly_randtest(g, state, n_randint(state, 50),
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1+n_randint(state,100));
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fmpz_poly_set_coeff_ui(g, 0, 0);
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fmpz_poly_set_coeff_ui(g, 1, 1);
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if (n_randlimb(state) % 2)
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fmpz_poly_neg(g, g); /* get -x term */
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n = n_randint(state, 50);
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fmpz_poly_revert_series_lagrange_fast(f, g, n);
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fmpz_poly_revert_series_lagrange_fast(g, g, n);
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result = (fmpz_poly_equal(f, g));
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if (!result)
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{
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flint_printf("FAIL (aliasing):\n");
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fmpz_poly_print(f), flint_printf("\n\n");
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fmpz_poly_print(g), flint_printf("\n\n");
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abort();
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}
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fmpz_poly_clear(f);
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fmpz_poly_clear(g);
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}
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/* Check f(f^(-1)) = id */
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for (i = 0; i < 10 * flint_test_multiplier(); i++)
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{
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fmpz_poly_t f, g, h;
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slong n;
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fmpz_poly_init(f);
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fmpz_poly_init(g);
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fmpz_poly_init(h);
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fmpz_poly_randtest(g, state, n_randint(state, 50), 1+n_randint(state,100));
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fmpz_poly_set_coeff_ui(g, 0, 0);
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fmpz_poly_set_coeff_ui(g, 1, 1);
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if (n_randlimb(state) % 2)
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fmpz_poly_neg(g, g); /* get -x term */
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n = n_randint(state, 50);
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fmpz_poly_revert_series_lagrange_fast(f, g, n);
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fmpz_poly_compose_series(h, g, f, n);
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result = ((n <= 1 && fmpz_poly_is_zero(h)) ||
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(h->length == 2 && fmpz_is_zero(h->coeffs + 0) &&
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fmpz_is_one(h->coeffs + 1)));
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if (!result)
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{
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flint_printf("FAIL (comparison):\n");
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fmpz_poly_print(f), flint_printf("\n\n");
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fmpz_poly_print(g), flint_printf("\n\n");
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fmpz_poly_print(h), flint_printf("\n\n");
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abort();
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}
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fmpz_poly_clear(f);
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fmpz_poly_clear(g);
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fmpz_poly_clear(h);
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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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