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

/*
    Copyright (C) 2010 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 "ulong_extras.h"
#include "nmod_poly.h"
#include "fmpz.h"

TEST_FUNCTION_START(nmod_poly_derivative, state)
{
    int i, j, result = 1;
    fmpz_t t;

    fmpz_init(t);

    /* Check derivative by hand */
    for (i = 0; i < 1000 * flint_test_multiplier(); i++)
    {
        nmod_poly_t a, b;
        ulong n = n_randtest_not_zero(state);

        nmod_poly_init(a, n);
        nmod_poly_init(b, n);
        nmod_poly_randtest(a, state, n_randint(state, 100));

        nmod_poly_derivative(b, a);

        if (a->length <= 1)
            result = (b->length == 0);
        else
        {
            for (j = 1; j < a->length; j++)
            {
                fmpz_set_ui(t, nmod_poly_get_coeff_ui(a, j));
                fmpz_mul_ui(t, t, j);
                fmpz_mod_ui(t, t, n);
                result &= (fmpz_get_ui(t) == nmod_poly_get_coeff_ui(b, j - 1));
            }
        }

        if (!result)
        {
            flint_printf("FAIL:\n");
            flint_printf("a->length = %wd, n = %wu\n", a->length, a->mod.n);
            nmod_poly_print(a), flint_printf("\n\n");
            nmod_poly_print(b), flint_printf("\n\n");
            fflush(stdout);
            flint_abort();
        }

        nmod_poly_clear(a);
        nmod_poly_clear(b);
    }

    fmpz_clear(t);

    /* Check aliasing */
    for (i = 0; i < 1000 * flint_test_multiplier(); i++)
    {
        nmod_poly_t a, b;
        ulong n = n_randtest_not_zero(state);

        nmod_poly_init(a, n);
        nmod_poly_init(b, n);
        nmod_poly_randtest(a, state, n_randint(state, 100));

        nmod_poly_derivative(b, a);
        nmod_poly_derivative(a, a);

        result = nmod_poly_equal(a, b);
        if (!result)
        {
            flint_printf("FAIL:\n");
            flint_printf("a->length = %wd, n = %wu\n", a->length, a->mod.n);
            nmod_poly_print(a), flint_printf("\n\n");
            nmod_poly_print(b), flint_printf("\n\n");
            fflush(stdout);
            flint_abort();
        }

        nmod_poly_clear(a);
        nmod_poly_clear(b);
    }

    TEST_FUNCTION_END(state);
}