87 lines
2.4 KiB
C
87 lines
2.4 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 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 "arith.h"
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#include "profiler.h"
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#include "fmpz.h"
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#include "fmpz_mat.h"
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#include "fmpq_poly.h"
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int main()
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{
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fmpq_poly_t Pn, Pn1, Pn2, R;
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slong n;
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FLINT_TEST_INIT(state);
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flint_printf("legendre_polynomial....");
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fflush(stdout);
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fmpq_poly_init(Pn);
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fmpq_poly_init(Pn1);
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fmpq_poly_init(Pn2);
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fmpq_poly_init(R);
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fmpq_poly_set_ui(Pn, UWORD(1));
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fmpq_poly_set_coeff_ui(Pn1, 1, UWORD(1));
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for (n = 0; n <= 500; n++)
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{
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arith_legendre_polynomial(R, n);
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if (!fmpq_poly_equal(Pn, R))
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{
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flint_printf("FAIL: n = %wd\n", n);
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flint_printf("Direct: "); fmpq_poly_print_pretty(R, "x"); flint_printf("\n");
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flint_printf("Recur.: "); fmpq_poly_print_pretty(Pn, "x"); flint_printf("\n");
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abort();
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}
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fmpq_poly_shift_left(Pn2, Pn1, 1);
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fmpq_poly_scalar_mul_ui(Pn2, Pn2, 2*n + 3);
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fmpq_poly_scalar_mul_si(Pn, Pn, -(n+1));
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fmpq_poly_add(Pn2, Pn2, Pn);
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fmpq_poly_scalar_div_ui(Pn2, Pn2, n+2);
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fmpq_poly_swap(Pn, Pn1);
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fmpq_poly_swap(Pn1, Pn2);
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}
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fmpq_poly_clear(Pn);
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fmpq_poly_clear(Pn1);
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fmpq_poly_clear(Pn2);
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fmpq_poly_clear(R);
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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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