flint-sys 0.9.0

Bindings to the FLINT C library
Documentation 
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93

/*
    Copyright (C) 2009 William Hart
    Copyright (C) 2010 Sebastian Pancratz
    Copyright (C) 2011 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_poly.h"

TEST_FUNCTION_START(fmpq_poly_sin_series, state)
{
    int i, result;
    ulong cflags = UWORD(0);

    /* Check aliasing of a and c */
    for (i = 0; i < 20 * flint_test_multiplier(); i++)
    {
        fmpq_poly_t a, b;
        slong n = n_randint(state, 50) + 1;

        fmpq_poly_init(a);
        fmpq_poly_init(b);

        fmpq_poly_randtest_not_zero(a, state, n_randint(state, 50) + 1, 50);
        fmpq_poly_set_coeff_ui(a, 0, UWORD(0));

        fmpq_poly_canonicalise(a);

        fmpq_poly_sin_series(b, a, n);
        fmpq_poly_sin_series(a, a, n);

        cflags |= fmpq_poly_is_canonical(a) ? 0 : 1;
        cflags |= fmpq_poly_is_canonical(b) ? 0 : 2;
        result = (fmpq_poly_equal(a, b) && !cflags);
        if (!result)
        {
            flint_printf("FAIL:\n");
            fmpq_poly_debug(a), flint_printf("\n\n");
            fmpq_poly_debug(b), flint_printf("\n\n");
            flint_printf("cflags = %wu\n\n", cflags);
            fflush(stdout);
            flint_abort();
        }

        fmpq_poly_clear(a);
        fmpq_poly_clear(b);
    }

    /* Check asin(sin(a)) = a */
    for (i = 0; i < 20 * flint_test_multiplier(); i++)
    {
        fmpq_poly_t a, sina, asinsina;
        slong n = n_randint(state, 80) + 1;

        fmpq_poly_init(a);
        fmpq_poly_init(sina);
        fmpq_poly_init(asinsina);

        fmpq_poly_randtest_not_zero(a, state, n_randint(state, 60) + 1, 80);
        fmpq_poly_set_coeff_ui(a, 0, UWORD(0));

        fmpq_poly_sin_series(sina, a, n);
        fmpq_poly_asin_series(asinsina, sina, n);
        fmpq_poly_truncate(a, n);

        cflags |= fmpq_poly_is_canonical(sina) ? 0 : 1;
        cflags |= fmpq_poly_is_canonical(asinsina) ? 0 : 2;
        result = (fmpq_poly_equal(asinsina, a) && !cflags);
        if (!result)
        {
            flint_printf("FAIL:\n");
            flint_printf("a = "), fmpq_poly_debug(a), flint_printf("\n\n");
            flint_printf("sin(a) = "), fmpq_poly_debug(sina), flint_printf("\n\n");
            flint_printf("asin(sin(a)) = "), fmpq_poly_debug(asinsina), flint_printf("\n\n");
            flint_printf("cflags = %wu\n\n", cflags);
            fflush(stdout);
            flint_abort();
        }

        fmpq_poly_clear(a);
        fmpq_poly_clear(sina);
        fmpq_poly_clear(asinsina);
    }

    TEST_FUNCTION_END(state);
}