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
119
120
121
122
123
124
125
126
127
128
129
130

/*
    Copyright (C) 2011, 2012 Sebastian Pancratz

    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 "long_extras.h"
#include "padic.h"

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

    /* Check aliasing */
    for (i = 0; i < 1000 * flint_test_multiplier(); i++)
    {
        fmpz_t p;
        slong N;
        padic_ctx_t ctx;

        padic_t a, b, c;
        slong v;

        fmpz_init_set_ui(p, n_randtest_prime(state, 0));
        N = n_randint(state, PADIC_TEST_PREC_MAX - PADIC_TEST_PREC_MIN)
            + PADIC_TEST_PREC_MIN;
        padic_ctx_init(ctx, p, FLINT_MAX(0, N-10), FLINT_MAX(0, N+10), PADIC_SERIES);

        padic_init2(a, N);
        padic_init2(b, N);
        padic_init2(c, N);

        padic_randtest(a, state, ctx);
        v = z_randint(state, (FLINT_ABS(N) + 4) / 3);

        padic_set(b, a, ctx);
        padic_shift(c, b, v, ctx);
        padic_shift(b, b, v, ctx);

        result = (padic_equal(b, c));
        if (!result)
        {
            flint_printf("FAIL:\n\n");
            flint_printf("a = "), padic_print(a, ctx), flint_printf("\n");
            flint_printf("b = "), padic_print(b, ctx), flint_printf("\n");
            flint_printf("c = "), padic_print(c, ctx), flint_printf("\n");
            fflush(stdout);
            flint_abort();
        }

        padic_clear(a);
        padic_clear(b);
        padic_clear(c);

        fmpz_clear(p);
        padic_ctx_clear(ctx);
    }

    /* Check that (a * b) * c == a * (b * c), correct only mod p^{N-v} */
    for (i = 0; i < 1000 * flint_test_multiplier(); i++)
    {
        fmpz_t p;
        slong N;
        padic_ctx_t ctx;

        padic_t a, b, c;
        slong v, v1, v2;

        fmpz_init_set_ui(p, n_randtest_prime(state, 0));
        N = n_randint(state, PADIC_TEST_PREC_MAX - PADIC_TEST_PREC_MIN)
            + PADIC_TEST_PREC_MIN;
        padic_ctx_init(ctx, p, FLINT_MAX(0, N-10), FLINT_MAX(0, N+10), PADIC_SERIES);

        padic_init2(a, N);
        padic_init2(b, N);
        padic_init2(c, N);

        padic_randtest(a, state, ctx);
        v1 = z_randint(state, (FLINT_ABS(N) + 4) / 3);
        v2 = z_randint(state, (FLINT_ABS(N) + 4) / 3);

        padic_shift(b, a, v1, ctx);
        padic_shift(b, b, v2, ctx);

        padic_shift(c, a, v2, ctx);
        padic_shift(c, c, v1, ctx);

        v = FLINT_MIN(v1, v2);
        v = FLINT_MIN(v, padic_val(a));
        v = FLINT_MIN(v, 0);

        if ((v >= 0) || (-v < N)) /* Otherwise, no precision left */
        {
            slong N2 = (v >= 0) ? N : N + v;

            padic_prec(b) = N2;
            padic_prec(c) = N2;

            padic_reduce(b, ctx);
            padic_reduce(c, ctx);

            result = (padic_equal(b, c));
            if (!result)
            {
                flint_printf("FAIL:\n\n");
                flint_printf("a = "), padic_print(a, ctx), flint_printf("\n");
                flint_printf("b = "), padic_print(b, ctx), flint_printf("\n");
                flint_printf("c = "), padic_print(c, ctx), flint_printf("\n");
                fflush(stdout);
                flint_abort();
            }
        }

        padic_clear(a);
        padic_clear(b);
        padic_clear(c);

        fmpz_clear(p);
        padic_ctx_clear(ctx);
    }

    TEST_FUNCTION_END(state);
}