flint-sys 0.9.0

Bindings to the FLINT C library
Documentation 
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/*
    Copyright (C) 2011 Fredrik Johansson

    This file is part of FLINT.

    FLINT is free software: you can redistribute it and/or modify it under
    the terms of the GNU Lesser General Public License (LGPL) as published
    by the Free Software Foundation; either version 3 of the License, or
    (at your option) any later version.  See <https://www.gnu.org/licenses/>.
*/

#include "test_helpers.h"
#include "fmpq_poly.h"

TEST_FUNCTION_START(fmpq_poly_legendre_p, state)
{
    fmpq_poly_t Pn, Pn1, Pn2, R;
    slong n;

    fmpq_poly_init(Pn);
    fmpq_poly_init(Pn1);
    fmpq_poly_init(Pn2);
    fmpq_poly_init(R);

    fmpq_poly_set_ui(Pn, UWORD(1));
    fmpq_poly_set_coeff_ui(Pn1, 1, UWORD(1));

    for (n = 0; n <= 500; n++)
    {
        fmpq_poly_legendre_p(R, n);

        if (!fmpq_poly_equal(Pn, R))
        {
            flint_printf("FAIL: n = %wd\n", n);
            flint_printf("Direct: "); fmpq_poly_print_pretty(R, "x"); flint_printf("\n");
            flint_printf("Recur.: "); fmpq_poly_print_pretty(Pn, "x"); flint_printf("\n");
            fflush(stdout);
            flint_abort();
        }

        fmpq_poly_shift_left(Pn2, Pn1, 1);
        fmpq_poly_scalar_mul_ui(Pn2, Pn2, 2*n + 3);
        fmpq_poly_scalar_mul_si(Pn, Pn, -(n+1));
        fmpq_poly_add(Pn2, Pn2, Pn);
        fmpq_poly_scalar_div_ui(Pn2, Pn2, n+2);

        fmpq_poly_swap(Pn, Pn1);
        fmpq_poly_swap(Pn1, Pn2);
    }

    fmpq_poly_clear(Pn);
    fmpq_poly_clear(Pn1);
    fmpq_poly_clear(Pn2);
    fmpq_poly_clear(R);

    TEST_FUNCTION_END(state);
}