flint-sys 0.9.0

Bindings to the FLINT C library
Documentation 
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/*
    Copyright (C) 2014 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.h"
#include "acb_modular.h"

TEST_FUNCTION_START(acb_modular_delta, state)
{
    slong iter;

    for (iter = 0; iter < 10000 * 0.1 * flint_test_multiplier(); iter++)
    {
        acb_t tau, z1, z2;
        slong e0, prec0, prec1, prec2;

        acb_init(tau);
        acb_init(z1);
        acb_init(z2);

        e0 = 1 + n_randint(state, 10);
        prec0 = 2 + n_randint(state, 1000);
        prec1 = 2 + n_randint(state, 1000);
        prec2 = 2 + n_randint(state, 1000);

        acb_randtest(tau, state, prec0, e0);
        acb_randtest(z1, state, prec0, e0);
        acb_randtest(z2, state, prec0, e0);

        /* compare with eta */
        acb_modular_delta(z1, tau, prec1);

        acb_modular_eta(z2, tau, prec2);
        acb_pow_ui(z2, z2, 24, prec2);

        if (!acb_overlaps(z1, z2))
        {
            flint_printf("FAIL (overlap)\n");
            flint_printf("tau = "); acb_printd(tau, 15); flint_printf("\n\n");
            flint_printf("z1 = "); acb_printd(z1, 15); flint_printf("\n\n");
            flint_printf("z2 = "); acb_printd(z2, 15); flint_printf("\n\n");
            flint_abort();
        }

        acb_modular_delta(tau, tau, prec1);

        if (!acb_overlaps(z1, tau))
        {
            flint_printf("FAIL (aliasing)\n");
            flint_printf("tau = "); acb_printd(tau, 15); flint_printf("\n\n");
            flint_printf("z1 = "); acb_printd(z1, 15); flint_printf("\n\n");
            flint_printf("z2 = "); acb_printd(z2, 15); flint_printf("\n\n");
            flint_abort();
        }

        acb_clear(tau);
        acb_clear(z1);
        acb_clear(z2);
    }

    TEST_FUNCTION_END(state);
}