123 lines
3.5 KiB
C
123 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) 2011 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 "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("inv_series_newton....");
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fflush(stdout);
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/* Check Q * Qinv = 1 mod x^n */
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for (i = 0; i < 100 * flint_test_multiplier(); i++)
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{
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nmod_poly_t q, qinv, prod;
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slong m;
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mp_limb_t n;
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do n = n_randtest_not_zero(state);
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while (!n_is_probabprime(n));
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nmod_poly_init(prod, n);
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nmod_poly_init(qinv, n);
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nmod_poly_init(q, n);
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do nmod_poly_randtest(q, state, n_randint(state, 2000));
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while (q->length == 0 || q->coeffs[0] == 0);
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m = n_randint(state, q->length) + 1;
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nmod_poly_inv_series_newton(qinv, q, m);
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nmod_poly_mul(prod, q, qinv);
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nmod_poly_truncate(prod, m);
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result = (prod->length == 1 && prod->coeffs[0] == 1);
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if (!result)
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{
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flint_printf("FAIL:\n");
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nmod_poly_print(q), flint_printf("\n\n");
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nmod_poly_print(qinv), flint_printf("\n\n");
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nmod_poly_print(prod), flint_printf("\n\n");
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flint_printf("n = %wd\n", n);
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abort();
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}
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nmod_poly_clear(q);
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nmod_poly_clear(qinv);
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nmod_poly_clear(prod);
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}
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/* Check aliasing of q and qinv */
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for (i = 0; i < 100 * flint_test_multiplier(); i++)
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{
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nmod_poly_t q, qinv;
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slong m;
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mp_limb_t n;
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do n = n_randtest(state);
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while (!n_is_probabprime(n));
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nmod_poly_init(q, n);
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nmod_poly_init(qinv, n);
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do nmod_poly_randtest(q, state, n_randint(state, 1000));
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while (q->length == 0 || q->coeffs[0] == 0);
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m = n_randint(state, q->length) + 1;
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nmod_poly_inv_series_newton(qinv, q, m);
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nmod_poly_inv_series_newton(q, q, m);
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result = (nmod_poly_equal(q, qinv));
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if (!result)
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{
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flint_printf("FAIL:\n");
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nmod_poly_print(q), flint_printf("\n\n");
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nmod_poly_print(qinv), flint_printf("\n\n");
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nmod_poly_print(q), flint_printf("\n\n");
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flint_printf("n = %wd, m = %wd\n", n, m);
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abort();
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}
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nmod_poly_clear(q);
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nmod_poly_clear(qinv);
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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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