117 lines
3.3 KiB
C
117 lines
3.3 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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******************************************************************************/
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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("inv_series_newton....");
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fflush(stdout);
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/* Check Q^{-1} * Q is congruent 1 mod t^n */
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for (i = 0; i < 100 * flint_test_multiplier(); i++)
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{
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fmpz_poly_t a, b, c, one;
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slong n = n_randint(state, 80) + 1;
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fmpz_poly_init(a);
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fmpz_poly_init(b);
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fmpz_poly_init(c);
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fmpz_poly_init(one);
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fmpz_poly_randtest_not_zero(a, state, n_randint(state, 80) + 1, 100);
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fmpz_poly_set_coeff_si(a, 0, n_randint(state, 2) ? 1 : -1);
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fmpz_poly_set_ui(one, 1);
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fmpz_poly_inv_series_newton(b, a, n);
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fmpz_poly_mullow(c, a, b, n);
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result = (fmpz_poly_equal(c, one));
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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 = "), fmpz_poly_print(a), flint_printf("\n\n");
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flint_printf("b = "), fmpz_poly_print(b), flint_printf("\n\n");
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flint_printf("c = "), fmpz_poly_print(c), flint_printf("\n\n");
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abort();
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}
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fmpz_poly_clear(a);
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fmpz_poly_clear(b);
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fmpz_poly_clear(c);
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fmpz_poly_clear(one);
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}
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/* Verify bug fix for the case Q = -1 mod (x) */
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{
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fmpz_poly_t a, b, c, one;
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slong n = 1;
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fmpz_poly_init(a);
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fmpz_poly_init(b);
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fmpz_poly_init(c);
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fmpz_poly_init(one);
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fmpz_poly_set_si(a, -1);
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fmpz_poly_set_ui(one, 1);
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fmpz_poly_inv_series_newton(b, a, n);
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fmpz_poly_mullow(c, a, b, n);
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result = (fmpz_poly_equal(c, one));
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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 = "), fmpz_poly_print(a), flint_printf("\n\n");
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flint_printf("b = "), fmpz_poly_print(b), flint_printf("\n\n");
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flint_printf("c = "), fmpz_poly_print(c), flint_printf("\n\n");
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abort();
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}
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fmpz_poly_clear(a);
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fmpz_poly_clear(b);
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fmpz_poly_clear(c);
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fmpz_poly_clear(one);
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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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