flint-sys 0.9.0

Bindings to the FLINT C library
Documentation 
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/*
    Copyright (C) 2017 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.h"
#include "arb.h"

TEST_FUNCTION_START(arb_get_abs_lbound_arf, state)
{
    slong iter;

    for (iter = 0; iter < 10000 * 0.1 * flint_test_multiplier(); iter++)
    {
        arb_t x;
        arf_t b, b2, b3;
        fmpq_t q;

        arb_init(x);
        arf_init(b);
        arf_init(b2);
        arf_init(b3);
        fmpq_init(q);

        arb_randtest(x, state, 1 + n_randint(state, 200), 10);

        arb_get_abs_lbound_arf(b, x, 2 + n_randint(state, 200));
        arb_get_rand_fmpq(q, state, x, 1 + n_randint(state, 200));
        arf_mul_fmpz(b2, b, fmpq_denref(q), ARF_PREC_EXACT, ARF_RND_DOWN);
        arf_set_fmpz(b3, fmpq_numref(q));
        arf_abs(b3, b3);

        if (arf_cmp(b2, b3) > 0)
        {
            flint_printf("FAIL (abs_lbound):\n\n");
            flint_printf("x = "); arb_print(x); flint_printf("\n\n");
            flint_printf("q = "); fmpq_print(q); flint_printf("\n\n");
            flint_printf("b = "); arf_print(b); flint_printf("\n\n");
            flint_printf("b2 = "); arf_print(b2); flint_printf("\n\n");
            flint_printf("b3 = "); arf_print(b3); flint_printf("\n\n");
            flint_abort();
        }

        arb_get_abs_ubound_arf(b, x, 2 + n_randint(state, 200));
        arb_get_rand_fmpq(q, state, x, 1 + n_randint(state, 200));
        arf_mul_fmpz(b2, b, fmpq_denref(q), ARF_PREC_EXACT, ARF_RND_DOWN);
        arf_set_fmpz(b3, fmpq_numref(q));
        arf_abs(b3, b3);

        if (arf_cmp(b2, b3) < 0)
        {
            flint_printf("FAIL (abs_ubound):\n\n");
            flint_printf("x = "); arb_print(x); flint_printf("\n\n");
            flint_printf("q = "); fmpq_print(q); flint_printf("\n\n");
            flint_printf("b = "); arf_print(b); flint_printf("\n\n");
            flint_printf("b2 = "); arf_print(b2); flint_printf("\n\n");
            flint_printf("b3 = "); arf_print(b3); flint_printf("\n\n");
            flint_abort();
        }

        arb_randtest_special(x, state, 1 + n_randint(state, 200), 1 + n_randint(state, 10));
        arb_get_abs_lbound_arf(b, x, 2 + n_randint(state, 200));
        arb_get_abs_ubound_arf(b2, x, 2 + n_randint(state, 200));

        if (arf_cmp(b, b2) > 0)
        {
            flint_printf("FAIL:\n\n");
            flint_printf("x = "); arb_print(x); flint_printf("\n\n");
            flint_printf("b = "); arf_print(b); flint_printf("\n\n");
            flint_printf("b2 = "); arf_print(b2); flint_printf("\n\n");
            flint_abort();
        }

        arb_clear(x);
        fmpq_clear(q);
        arf_clear(b);
        arf_clear(b2);
        arf_clear(b3);
    }

    TEST_FUNCTION_END(state);
}