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
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118

/*
    Copyright (C) 2011 Sebastian Pancratz
    Copyright (C) 2013 Fredrik Johansson
    Copyright (C) 2013 William Hart

    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 "long_extras.h"
#include "fmpz_poly_q.h"

TEST_FUNCTION_START(fmpz_poly_q_derivative, state)
{
    int i, result;

    /* Check aliasing */
    for (i = 0; i < 10 * flint_test_multiplier(); i++)
    {
        fmpz_poly_q_t a, b;

        fmpz_poly_q_init(a);
        fmpz_poly_q_init(b);
        fmpz_poly_q_randtest(a, state, n_randint(state, 50), 50, n_randint(state, 50), 50);

        fmpz_poly_q_derivative(b, a);
        fmpz_poly_q_derivative(a, a);

        result = fmpz_poly_q_equal(a, b);
        if (!result)
        {
            flint_printf("FAIL:\n");
            fmpz_poly_q_print(a), flint_printf("\n\n");
            fmpz_poly_q_print(b), flint_printf("\n\n");
            fflush(stdout);
            flint_abort();
        }

        fmpz_poly_q_clear(a);
        fmpz_poly_q_clear(b);
    }

    /* Check constants have derivative zero */
    for (i = 0; i < 10 * flint_test_multiplier(); i++)
    {
        fmpz_poly_q_t a, b;

        fmpz_poly_q_init(a);
        fmpz_poly_q_init(b);

        fmpz_poly_q_set_si(a, z_randtest(state));

        fmpz_poly_q_derivative(b, a);

        result = fmpz_poly_q_is_zero(b);
        if (!result)
        {
            flint_printf("FAIL:\n");
            fmpz_poly_q_print(a), flint_printf("\n\n");
            fmpz_poly_q_print(b), flint_printf("\n\n");
            fflush(stdout);
            flint_abort();
        }

        fmpz_poly_q_clear(a);
        fmpz_poly_q_clear(b);
    }

    /* Check (f g)' = f' g + f g' */
    for (i = 0; i < 10 * flint_test_multiplier(); i++)
    {
        fmpz_poly_q_t a, b, c, d, lhs, rhs;

        fmpz_poly_q_init(a);
        fmpz_poly_q_init(b);
        fmpz_poly_q_init(c);
        fmpz_poly_q_init(d);
        fmpz_poly_q_init(lhs);
        fmpz_poly_q_init(rhs);
        fmpz_poly_q_randtest(a, state, n_randint(state, 20), 20, n_randint(state, 20), 20);
        fmpz_poly_q_randtest(b, state, n_randint(state, 20), 20, n_randint(state, 20), 20);

        fmpz_poly_q_mul(lhs, a, b);
        fmpz_poly_q_derivative(lhs, lhs);
        fmpz_poly_q_derivative(c, a);
        fmpz_poly_q_derivative(d, b);
        fmpz_poly_q_mul(c, c, b);
        fmpz_poly_q_mul(d, a, d);
        fmpz_poly_q_add(rhs, c, d);

        result = fmpz_poly_q_equal(lhs, rhs) && fmpz_poly_q_is_canonical(lhs)
                                             && fmpz_poly_q_is_canonical(rhs);
        if (!result)
        {
            flint_printf("FAIL:\n");
            fmpz_poly_q_print(a), flint_printf("\n\n");
            fmpz_poly_q_print(b), flint_printf("\n\n");
            fmpz_poly_q_print(lhs), flint_printf("\n\n");
            fmpz_poly_q_print(rhs), flint_printf("\n\n");
            fflush(stdout);
            flint_abort();
        }

        fmpz_poly_q_clear(a);
        fmpz_poly_q_clear(b);
        fmpz_poly_q_clear(c);
        fmpz_poly_q_clear(d);
        fmpz_poly_q_clear(lhs);
        fmpz_poly_q_clear(rhs);
    }

    TEST_FUNCTION_END(state);
}