flint-sys 0.9.0

/*
    Copyright (C) 2012 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 "mpfr.h"
#include "arf.h"

int
arf_div_naive(arf_t z, const arf_t x, const arf_t y, slong prec, arf_rnd_t rnd)
{
    arf_t m, n;
    fmpz_t e, f;
    mpfr_t a, b, c;
    int inexact;

    if (arf_is_zero(y))
    {
        arf_nan(z);
        return 0;
    }

    arf_init(m); arf_init(n);
    fmpz_init(e); fmpz_init(f);
    mpfr_init2(a, FLINT_MAX(2, arf_bits(x)));
    mpfr_init2(b, FLINT_MAX(2, arf_bits(y)));
    mpfr_init2(c, prec);

    arf_frexp(m, e, x);
    arf_frexp(n, f, y);

    arf_get_mpfr(a, m, MPFR_RNDD);
    arf_get_mpfr(b, n, MPFR_RNDD);

    inexact = (mpfr_div(c, a, b, arf_rnd_to_mpfr(rnd)) != 0);

    arf_set_mpfr(z, c);
    fmpz_sub(e, e, f);
    arf_mul_2exp_fmpz(z, z, e);

    arf_clear(m); arf_clear(n);
    fmpz_clear(e); fmpz_clear(f);
    mpfr_clear(a); mpfr_clear(b); mpfr_clear(c);

    return inexact;
}

TEST_FUNCTION_START(arf_div, state)
{
    slong iter, iter2;

    for (iter = 0; iter < 10000 * 0.1 * flint_test_multiplier(); iter++)
    {
        arf_t x, y, z, v;
        slong prec, r1, r2;
        arf_rnd_t rnd;

        arf_init(x);
        arf_init(y);
        arf_init(z);
        arf_init(v);

        for (iter2 = 0; iter2 < 100; iter2++)
        {
            arf_randtest_special(x, state, 2000, 100);
            arf_randtest_special(y, state, 2000, 100);
            prec = 2 + n_randint(state, 2000);

            if (n_randint(state, 20) == 0)
                arf_mul(x, x, y, 2 + n_randint(state, 3000), ARF_RND_FLOOR);

            switch (n_randint(state, 5))
            {
                case 0:  rnd = ARF_RND_DOWN; break;
                case 1:  rnd = ARF_RND_UP; break;
                case 2:  rnd = ARF_RND_FLOOR; break;
                case 3:  rnd = ARF_RND_CEIL; break;
                default: rnd = ARF_RND_NEAR; break;
            }

            switch (n_randint(state, 5))
            {
            case 0:
                r1 = arf_div(z, x, y, prec, rnd);
                r2 = arf_div_naive(v, x, y, prec, rnd);
                if (!arf_equal(z, v) || r1 != r2)
                {
                    flint_printf("FAIL!\n");
                    flint_printf("prec = %wd, rnd = %d\n\n", prec, rnd);
                    flint_printf("x = "); arf_print(x); flint_printf("\n\n");
                    flint_printf("y = "); arf_print(y); flint_printf("\n\n");
                    flint_printf("z = "); arf_print(z); flint_printf("\n\n");
                    flint_printf("v = "); arf_print(v); flint_printf("\n\n");
                    flint_printf("r1 = %wd, r2 = %wd\n", r1, r2);
                    flint_abort();
                }
                break;

            case 1:
                r1 = arf_div(z, x, x, prec, rnd);
                r2 = arf_div_naive(v, x, x, prec, rnd);
                if (!arf_equal(z, v) || r1 != r2)
                {
                    flint_printf("FAIL (aliasing 1)!\n");
                    flint_printf("prec = %wd, rnd = %d\n\n", prec, rnd);
                    flint_printf("x = "); arf_print(x); flint_printf("\n\n");
                    flint_printf("z = "); arf_print(z); flint_printf("\n\n");
                    flint_printf("v = "); arf_print(v); flint_printf("\n\n");
                    flint_printf("r1 = %wd, r2 = %wd\n", r1, r2);
                    flint_abort();
                }
                break;

            case 2:
                r2 = arf_div_naive(v, x, x, prec, rnd);
                r1 = arf_div(x, x, x, prec, rnd);
                if (!arf_equal(v, x) || r1 != r2)
                {
                    flint_printf("FAIL (aliasing 2)!\n");
                    flint_printf("prec = %wd, rnd = %d\n\n", prec, rnd);
                    flint_printf("x = "); arf_print(x); flint_printf("\n\n");
                    flint_printf("z = "); arf_print(z); flint_printf("\n\n");
                    flint_printf("v = "); arf_print(v); flint_printf("\n\n");
                    flint_printf("r1 = %wd, r2 = %wd\n", r1, r2);
                    flint_abort();
                }
                break;

            case 3:
                r2 = arf_div_naive(v, x, y, prec, rnd);
                r1 = arf_div(x, x, y, prec, rnd);
                if (!arf_equal(x, v) || r1 != r2)
                {
                    flint_printf("FAIL (aliasing 3)!\n");
                    flint_printf("prec = %wd, rnd = %d\n\n", prec, rnd);
                    flint_printf("x = "); arf_print(x); flint_printf("\n\n");
                    flint_printf("y = "); arf_print(y); flint_printf("\n\n");
                    flint_printf("v = "); arf_print(v); flint_printf("\n\n");
                    flint_printf("r1 = %wd, r2 = %wd\n", r1, r2);
                    flint_abort();
                }
                break;

            default:
                r2 = arf_div_naive(v, y, x, prec, rnd);
                r1 = arf_div(x, y, x, prec, rnd);
                if (!arf_equal(x, v) || r1 != r2)
                {
                    flint_printf("FAIL (aliasing 4)!\n");
                    flint_printf("prec = %wd, rnd = %d\n\n", prec, rnd);
                    flint_printf("x = "); arf_print(x); flint_printf("\n\n");
                    flint_printf("y = "); arf_print(y); flint_printf("\n\n");
                    flint_printf("v = "); arf_print(v); flint_printf("\n\n");
                    flint_printf("r1 = %wd, r2 = %wd\n", r1, r2);
                    flint_abort();
                }
                break;
            }
        }

        arf_clear(x);
        arf_clear(y);
        arf_clear(z);
        arf_clear(v);
    }

    TEST_FUNCTION_END(state);
}