flint3-sys 3.2.3

Rust bindings to the FLINT C library
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

/*
    Copyright (C) 2023 Jean Kieffer

    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_theta.h"

TEST_FUNCTION_START(acb_theta_g2_psi6, state)
{
    slong iter;

    /* Test: is a modular form */
    for (iter = 0; iter < 100 * flint_test_multiplier(); iter++)
    {
        slong g = 2;
        slong n2 = 16;
        slong prec = 100 + n_randint(state, 500);
        slong mag_bits = n_randint(state, 2);
        fmpz_mat_t mat;
        acb_ptr th2;
        acb_t r, s;
        slong k;

        fmpz_mat_init(mat, 2 * g, 2 * g);
        th2 = _acb_vec_init(n2);
        acb_init(r);
        acb_init(s);

        sp2gz_randtest(mat, state, mag_bits);
        for (k = 0; k < n2; k++)
        {
            acb_randtest_precise(&th2[k], state, prec, mag_bits);
        }

        acb_theta_g2_psi6(r, th2, prec);
        acb_theta_transform_proj(th2, mat, th2, 1, prec);
        acb_theta_g2_psi6(s, th2, prec);
        if (acb_theta_transform_kappa2(mat) % 2 == 1)
        {
            acb_neg(s, s);
        }

        if (!acb_overlaps(r, s))
        {
            flint_printf("FAIL\n");
            fmpz_mat_print_pretty(mat);
            acb_printd(r, 10);
            flint_printf("\n");
            acb_printd(s, 10);
            flint_printf("\n");
            flint_abort();
        }

        fmpz_mat_clear(mat);
        _acb_vec_clear(th2, n2);
        acb_clear(r);
        acb_clear(s);
    }

    TEST_FUNCTION_END(state);
}