flint-sys 0.9.0

Bindings to the FLINT C library
Documentation 
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/*
    Copyright (C) 2009 William Hart
    Copyright (C) 2010 Sebastian Pancratz

    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_derivative, state)
{
    int i, result;
    ulong cflags = UWORD(0);

    /* Check aliasing */
    for (i = 0; i < 1000 * flint_test_multiplier(); i++)
    {
        fmpq_poly_t a, b;

        fmpq_poly_init(a);
        fmpq_poly_init(b);
        fmpq_poly_randtest(a, state, n_randint(state, 100), 200);

        fmpq_poly_derivative(b, a);
        fmpq_poly_derivative(a, a);

        cflags |= fmpq_poly_is_canonical(a) ? 0 : 1;
        cflags |= fmpq_poly_is_canonical(b) ? 0 : 2;
        result = (fmpq_poly_equal(a, b) && !cflags);
        if (!result)
        {
            flint_printf("FAIL:\n");
            fmpq_poly_debug(a), flint_printf("\n\n");
            fmpq_poly_debug(b), flint_printf("\n\n");
            flint_printf("cflags = %wu\n\n", cflags);
            fflush(stdout);
            flint_abort();
        }

        fmpq_poly_clear(a);
        fmpq_poly_clear(b);
    }

    /* Check constants have derivative zero */
    for (i = 0; i < 1000 * flint_test_multiplier(); i++)
    {
        fmpq_poly_t a, b;

        fmpq_poly_init(a);
        fmpq_poly_init(b);
        fmpq_poly_randtest(a, state, n_randint(state, 2), 200);

        fmpq_poly_derivative(b, a);

        cflags |= fmpq_poly_is_canonical(b) ? 0 : 1;
        result = fmpq_poly_is_zero(b) && !cflags;
        if (!result)
        {
            flint_printf("FAIL:\n");
            fmpq_poly_debug(a), flint_printf("\n\n");
            fmpq_poly_debug(b), flint_printf("\n\n");
            flint_printf("cflags = %wu\n\n", cflags);
            fflush(stdout);
            flint_abort();
        }

        fmpq_poly_clear(a);
        fmpq_poly_clear(b);
    }

    /* Check (f g)' = f' g + f g' */
    for (i = 0; i < 1000 * flint_test_multiplier(); i++)
    {
        fmpq_poly_t a, b, c, d, lhs, rhs;

        fmpq_poly_init(a);
        fmpq_poly_init(b);
        fmpq_poly_init(c);
        fmpq_poly_init(d);
        fmpq_poly_init(lhs);
        fmpq_poly_init(rhs);
        fmpq_poly_randtest(a, state, n_randint(state, 100), 200);
        fmpq_poly_randtest(b, state, n_randint(state, 100), 200);

        fmpq_poly_mul(lhs, a, b);
        fmpq_poly_derivative(lhs, lhs);
        fmpq_poly_derivative(c, a);
        fmpq_poly_derivative(d, b);
        fmpq_poly_mul(c, c, b);
        fmpq_poly_mul(d, a, d);
        fmpq_poly_add(rhs, c, d);

        cflags |= fmpq_poly_is_canonical(lhs) ? 0 : 1;
        cflags |= fmpq_poly_is_canonical(rhs) ? 0 : 2;
        result = fmpq_poly_equal(lhs, rhs) && !cflags;
        if (!result)
        {
            flint_printf("FAIL:\n");
            fmpq_poly_debug(a), flint_printf("\n\n");
            fmpq_poly_debug(b), flint_printf("\n\n");
            flint_printf("cflags = %wu\n\n", cflags);
            fflush(stdout);
            flint_abort();
        }

        fmpq_poly_clear(a);
        fmpq_poly_clear(b);
        fmpq_poly_clear(c);
        fmpq_poly_clear(d);
        fmpq_poly_clear(lhs);
        fmpq_poly_clear(rhs);
    }

    TEST_FUNCTION_END(state);
}