flint3-sys 3.2.2-1

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
70
71
72
73
74
75
76
77
78
79

/*
    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_mat.h"
#include "acb_theta.h"

TEST_FUNCTION_START(acb_theta_all, state)
{
    slong iter;

    /* Test: agrees with naive_all */
    for (iter = 0; iter < 20 * flint_test_multiplier(); iter++)
    {
        slong g = 1 + n_randint(state, 2);
        slong n2 = 1 << (2 * g);
        slong prec = 100 + n_randint(state, 400);
        slong bits = n_randint(state, 4);
        int sqr = iter % 2;
        acb_mat_t tau;
        acb_ptr z;
        acb_ptr th, test;
        slong k;

        acb_mat_init(tau, g, g);
        z = _acb_vec_init(g);
        th = _acb_vec_init(n2);
        test = _acb_vec_init(n2);

        /* Sample tau not too far from reduced domain */
        acb_siegel_randtest_reduced(tau, state, prec, bits);
        acb_mat_scalar_mul_2exp_si(tau, tau, -1);
        acb_siegel_randtest_vec(z, state, g, prec);

        /* Sometimes phony input too */
        if (n_randint(state, 20) == 0)
        {
            k = n_randint(state, g);
            arb_zero(acb_imagref(acb_mat_entry(tau, k, k)));
        }

        acb_theta_all(th, z, tau, sqr, prec);
        acb_theta_naive_all(test, z, 1, tau, prec);
        if (sqr)
        {
            for (k = 0; k < n2; k++)
            {
                acb_sqr(&test[k], &test[k], prec);
            }
        }

        if (!_acb_vec_overlaps(th, test, n2))
        {
            flint_printf("FAIL\n");
            flint_printf("g = %wd, prec = %wd, sqr = %wd, tau, z:\n", g, prec, sqr);
            acb_mat_printd(tau, 5);
            _acb_vec_printd(z, g, 5);
            flint_printf("th, test:\n");
            _acb_vec_printd(th, n2, 5);
            _acb_vec_printd(test, n2, 5);
            flint_abort();
        }

        acb_mat_clear(tau);
        _acb_vec_clear(z, g);
        _acb_vec_clear(th, n2);
        _acb_vec_clear(test, n2);
    }

    TEST_FUNCTION_END(state);
}