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 "arf.h"

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

    for (iter = 0; iter < 10000 * 0.1 * flint_test_multiplier(); iter++)
    {
        arf_t e1, f1, e2, f2, a, b, c, d;
        slong prec, r1, r2;
        arf_rnd_t rnd;

        arf_init(a);
        arf_init(b);
        arf_init(c);
        arf_init(d);
        arf_init(e1);
        arf_init(f1);
        arf_init(e2);
        arf_init(f2);

        for (iter2 = 0; iter2 < 100; iter2++)
        {
            arf_randtest_special(a, state, 3000, 100);
            arf_randtest_special(b, state, 3000, 100);
            arf_randtest_special(c, state, 3000, 100);
            arf_randtest_special(d, state, 3000, 100);
            prec = 2 + n_randint(state, 3000);

            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_complex_mul(e1, f1, a, b, c, d, prec, rnd);
                r2 = arf_complex_mul_fallback(e2, f2, a, b, c, d, prec, rnd);
                if (!arf_equal(e1, e2) || !arf_equal(f1, f2) || r1 != r2)
                {
                    flint_printf("FAIL!\n");
                    flint_printf("prec = %wd, rnd = %d\n\n", prec, rnd);
                    flint_printf("a = "); arf_print(a); flint_printf("\n\n");
                    flint_printf("b = "); arf_print(b); flint_printf("\n\n");
                    flint_printf("c = "); arf_print(c); flint_printf("\n\n");
                    flint_printf("d = "); arf_print(d); flint_printf("\n\n");
                    flint_printf("e1 = "); arf_print(e1); flint_printf("\n\n");
                    flint_printf("f1 = "); arf_print(f1); flint_printf("\n\n");
                    flint_printf("e2 = "); arf_print(e2); flint_printf("\n\n");
                    flint_printf("f2 = "); arf_print(f2); flint_printf("\n\n");
                    flint_printf("r1 = %wd, r2 = %wd\n", r1, r2);
                    flint_abort();
                }
                break;

            case 1:
                arf_set(c, a);
                arf_set(d, b);
                r1 = arf_complex_mul(e1, f1, a, b, a, b, prec, rnd);
                r2 = arf_complex_mul_fallback(e2, f2, a, b, c, d, prec, rnd);
                if (!arf_equal(e1, e2) || !arf_equal(f1, f2) || r1 != r2)
                {
                    flint_printf("FAIL! (aliasing 1)\n");
                    flint_printf("prec = %wd, rnd = %d\n\n", prec, rnd);
                    flint_printf("a = "); arf_print(a); flint_printf("\n\n");
                    flint_printf("b = "); arf_print(b); flint_printf("\n\n");
                    flint_printf("c = "); arf_print(c); flint_printf("\n\n");
                    flint_printf("d = "); arf_print(d); flint_printf("\n\n");
                    flint_printf("e1 = "); arf_print(e1); flint_printf("\n\n");
                    flint_printf("f1 = "); arf_print(f1); flint_printf("\n\n");
                    flint_printf("e2 = "); arf_print(e2); flint_printf("\n\n");
                    flint_printf("f2 = "); arf_print(f2); flint_printf("\n\n");
                    flint_printf("r1 = %wd, r2 = %wd\n", r1, r2);
                    flint_abort();
                }
                break;

            case 2:
                r1 = arf_complex_mul_fallback(e1, f1, a, b, a, b, prec, rnd);
                r2 = arf_complex_mul(a, b, a, b, a, b, prec, rnd);
                if (!arf_equal(e1, a) || !arf_equal(f1, b) || r1 != r2)
                {
                    flint_printf("FAIL! (aliasing 2)\n");
                    flint_printf("prec = %wd, rnd = %d\n\n", prec, rnd);
                    flint_printf("a = "); arf_print(a); flint_printf("\n\n");
                    flint_printf("b = "); arf_print(b); flint_printf("\n\n");
                    flint_printf("e1 = "); arf_print(e1); flint_printf("\n\n");
                    flint_printf("f1 = "); arf_print(f1); flint_printf("\n\n");
                    flint_printf("r1 = %wd, r2 = %wd\n", r1, r2);
                    flint_abort();
                }
                break;

            case 3:
                r1 = arf_complex_mul_fallback(e1, f1, a, b, c, d, prec, rnd);
                r2 = arf_complex_mul(a, b, a, b, c, d, prec, rnd);

                if (!arf_equal(e1, a) || !arf_equal(f1, b) || r1 != r2)
                {
                    flint_printf("FAIL! (aliasing 3)\n");
                    flint_printf("prec = %wd, rnd = %d\n\n", prec, rnd);
                    flint_printf("a = "); arf_print(a); flint_printf("\n\n");
                    flint_printf("b = "); arf_print(b); flint_printf("\n\n");
                    flint_printf("c = "); arf_print(c); flint_printf("\n\n");
                    flint_printf("d = "); arf_print(d); flint_printf("\n\n");
                    flint_printf("e1 = "); arf_print(e1); flint_printf("\n\n");
                    flint_printf("f1 = "); arf_print(f1); flint_printf("\n\n");
                    flint_printf("r1 = %wd, r2 = %wd\n", r1, r2);
                    flint_abort();
                }
                break;

            default:
                r1 = arf_complex_mul_fallback(e1, f1, a, b, c, d, prec, rnd);
                r2 = arf_complex_mul(c, d, a, b, c, d, prec, rnd);

                if (!arf_equal(e1, c) || !arf_equal(f1, d) || r1 != r2)
                {
                    flint_printf("FAIL! (aliasing 4)\n");
                    flint_printf("prec = %wd, rnd = %d\n\n", prec, rnd);
                    flint_printf("a = "); arf_print(a); flint_printf("\n\n");
                    flint_printf("b = "); arf_print(b); flint_printf("\n\n");
                    flint_printf("c = "); arf_print(c); flint_printf("\n\n");
                    flint_printf("d = "); arf_print(d); flint_printf("\n\n");
                    flint_printf("e1 = "); arf_print(e1); flint_printf("\n\n");
                    flint_printf("f1 = "); arf_print(f1); flint_printf("\n\n");
                    flint_printf("r1 = %wd, r2 = %wd\n", r1, r2);
                    flint_abort();
                }
                break;
            }
        }

        arf_clear(a);
        arf_clear(b);
        arf_clear(c);
        arf_clear(d);
        arf_clear(e1);
        arf_clear(f1);
        arf_clear(e2);
        arf_clear(f2);
    }

    TEST_FUNCTION_END(state);
}