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 "fmpz_poly.h"

TEST_FUNCTION_START(fmpz_poly_chebyshev_t, state)
{
    fmpz_poly_t T0, T1, T2, t;
    slong n;

    fmpz_poly_init(T0);
    fmpz_poly_init(T1);
    fmpz_poly_init(T2);
    fmpz_poly_init(t);

    fmpz_poly_chebyshev_t(T0, 0);
    fmpz_poly_chebyshev_t(T1, 1);

    for (n = 2; n <= 500; n++)
    {
        fmpz_poly_chebyshev_t(T2, n);

        /* Verify T_{n+1} = 2 x T_n - T_{n-1} */
        fmpz_poly_scalar_mul_ui(t, T1, UWORD(2));
        fmpz_poly_shift_left(t, t, 1);
        fmpz_poly_sub(t, t, T0);

        if (!fmpz_poly_equal(t, T2))
        {
            flint_printf("FAIL: n = %wd\n", n);
            flint_printf("t: "); fmpz_poly_print_pretty(t, "x"); flint_printf("\n");
            flint_printf("T2: "); fmpz_poly_print_pretty(T2, "x"); flint_printf("\n");
            fflush(stdout);
            flint_abort();
        }

        fmpz_poly_swap(T0, T1);
        fmpz_poly_swap(T1, T2);
    }

    fmpz_poly_clear(T0);
    fmpz_poly_clear(T1);
    fmpz_poly_clear(T2);
    fmpz_poly_clear(t);

    TEST_FUNCTION_END(state);
}