flint-sys 0.9.0

Bindings to the FLINT C library
Documentation 
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/*
    Copyright (C) 2013 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 "acb_poly.h"

FLINT_DLL extern slong acb_poly_newton_exp_cutoff;

TEST_FUNCTION_START(acb_poly_exp_series, state)
{
    slong iter;

    for (iter = 0; iter < 10000 * 0.1 * flint_test_multiplier(); iter++)
    {
        slong m, n, bits1, bits2, bits3;
        acb_poly_t a, b, c, d;

        bits1 = 2 + n_randint(state, 100);
        bits2 = 2 + n_randint(state, 100);
        bits3 = 2 + n_randint(state, 100);

        if (iter > 1000)
        {
            acb_poly_newton_exp_cutoff = 5 + n_randint(state, 50);
        }

        if (n_randint(state, 100) == 0)
        {
            m = 1 + n_randint(state, 100);
            n = 1 + n_randint(state, 100);
        }
        else
        {
            m = 1 + n_randint(state, 20);
            n = 1 + n_randint(state, 20);
        }

        acb_poly_init(a);
        acb_poly_init(b);
        acb_poly_init(c);
        acb_poly_init(d);

        acb_poly_randtest(a, state, m, bits1, 5);
        acb_poly_randtest(b, state, m, bits1, 5);

        acb_poly_randtest(c, state, 1 + n_randint(state, 300), bits1, 10);
        acb_poly_randtest(d, state, 1 + n_randint(state, 300), bits1, 10);

        /* check exp(a+b) = exp(a) exp(b) */
        acb_poly_exp_series(c, a, n, bits2);
        acb_poly_exp_series(d, b, n, bits2);
        acb_poly_mullow(c, c, d, n, bits2);

        acb_poly_add(d, a, b, bits3);
        acb_poly_exp_series(d, d, n, bits3);   /* also aliasing test */

        if (!acb_poly_overlaps(c, d))
        {
            flint_printf("FAIL\n\n");

            flint_printf("a = "); acb_poly_printd(a, 15); flint_printf("\n\n");
            flint_printf("b = "); acb_poly_printd(b, 15); flint_printf("\n\n");
            flint_printf("c = "); acb_poly_printd(c, 15); flint_printf("\n\n");
            flint_printf("d = "); acb_poly_printd(d, 15); flint_printf("\n\n");
            flint_abort();
        }

        acb_poly_clear(a);
        acb_poly_clear(b);
        acb_poly_clear(c);
        acb_poly_clear(d);
    }

    TEST_FUNCTION_END(state);
}