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

/*
    Copyright (C) 2017 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 "acb.h"
#include "acb_modular.h"

TEST_FUNCTION_START(acb_modular_theta_jet, state)
{
    slong iter;

    for (iter = 0; iter < 3000 * 0.1 * flint_test_multiplier(); iter++)
    {
        acb_ptr t1a, t1b, t2a, t2b, t3a, t3b, t4a, t4b;
        acb_t z, tau;
        slong prec0, e0, prec1, prec2, len1, len2, i;

        acb_init(z);
        acb_init(tau);

        e0 = 1 + n_randint(state, 10);
        prec0 = 2 + n_randint(state, 1000);
        prec1 = 2 + n_randint(state, 1000);
        prec2 = 2 + n_randint(state, 1000);
        len1 = 1 + n_randint(state, 10);
        len2 = 1 + n_randint(state, 10);

        t1a = _acb_vec_init(len1);
        t2a = _acb_vec_init(len1);
        t3a = _acb_vec_init(len1);
        t4a = _acb_vec_init(len1);

        t1b = _acb_vec_init(len2);
        t2b = _acb_vec_init(len2);
        t3b = _acb_vec_init(len2);
        t4b = _acb_vec_init(len2);

        acb_randtest(z, state, prec0, e0);
        acb_randtest(tau, state, prec0, e0);
        arb_abs(acb_imagref(tau), acb_imagref(tau));

        for (i = 0; i < len1; i++)
        {
            acb_randtest(t1a + i, state, prec0, e0);
            acb_randtest(t2a + i, state, prec0, e0);
            acb_randtest(t3a + i, state, prec0, e0);
            acb_randtest(t4a + i, state, prec0, e0);
        }

        for (i = 0; i < len2; i++)
        {
            acb_randtest(t1b + i, state, prec0, e0);
            acb_randtest(t2b + i, state, prec0, e0);
            acb_randtest(t3b + i, state, prec0, e0);
            acb_randtest(t4b + i, state, prec0, e0);
        }

        acb_modular_theta_jet_notransform(t1a, t2a, t3a, t4a, z, tau, len1, prec1);
        acb_modular_theta_jet(t1b, t2b, t3b, t4b, z, tau, len2, prec2);

        for (i = 0; i < FLINT_MIN(len1, len2); i++)
        {
            if (!acb_overlaps(t1a + i, t1b + i)
                || !acb_overlaps(t2a + i, t2b + i)
                || !acb_overlaps(t3a + i, t3b + i)
                || !acb_overlaps(t4a + i, t4b + i))
            {
                flint_printf("FAIL (overlap)  iter = %wd\n", iter);
                flint_printf("len1 = %wd, len2 = %wd, prec1 = %wd, prec2 = %wd\n\n",
                    len1, len2, prec1, prec2);
                flint_printf("i = %wd\n\n", i);
                flint_printf("z = "); acb_printd(z, 50); flint_printf("\n\n");
                flint_printf("tau = "); acb_printd(tau, 50); flint_printf("\n\n");
                flint_printf("t1a = "); acb_printd(t1a + i, 50); flint_printf("\n\n");
                flint_printf("t1b = "); acb_printd(t1b + i, 50); flint_printf("\n\n");
                flint_printf("t2a = "); acb_printd(t2a + i, 50); flint_printf("\n\n");
                flint_printf("t2b = "); acb_printd(t2b + i, 50); flint_printf("\n\n");
                flint_printf("t3a = "); acb_printd(t3a + i, 50); flint_printf("\n\n");
                flint_printf("t3b = "); acb_printd(t3b + i, 50); flint_printf("\n\n");
                flint_printf("t4a = "); acb_printd(t4a + i, 50); flint_printf("\n\n");
                flint_printf("t4b = "); acb_printd(t4b + i, 50); flint_printf("\n\n");
                flint_abort();
            }
        }

        _acb_vec_clear(t1a, len1);
        _acb_vec_clear(t2a, len1);
        _acb_vec_clear(t3a, len1);
        _acb_vec_clear(t4a, len1);

        _acb_vec_clear(t1b, len2);
        _acb_vec_clear(t2b, len2);
        _acb_vec_clear(t3b, len2);
        _acb_vec_clear(t4b, len2);

        acb_clear(z);
        acb_clear(tau);
    }

    TEST_FUNCTION_END(state);
}