flint-sys 0.9.0

Bindings to the FLINT C library
Documentation 
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/*
    Copyright (C) 2024 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_mat.h"
#include "acb_theta.h"

TEST_FUNCTION_START(acb_theta_ql_exact, state)
{
    slong iter;

    /* Test: coincides with sum */
    for (iter = 0; iter < 50 * flint_test_multiplier(); iter++)
    {
        slong g = 1 + n_randint(state, 2);
        slong n = 1 << g;
        slong prec = 100 + n_randint(state, 500);
        slong nb = 1 + n_randint(state, 4);
        slong * pattern;
        int all = n_randint(state, 2);
        int shifted_prec = n_randint(state, 2);
        slong nbth = (all ? n * n : n);
        acb_mat_t tau;
        acb_ptr zs, th, test;
        acb_theta_ctx_tau_t ctx_tau;
        acb_theta_ctx_z_struct * vec;
        arb_ptr distances;
        slong j;

        acb_mat_init(tau, g, g);
        zs = _acb_vec_init(nb * g);
        th = _acb_vec_init(nb * nbth);
        test = _acb_vec_init(nb * nbth);
        acb_theta_ctx_tau_init(ctx_tau, 1, g);
        vec = acb_theta_ctx_z_vec_init(nb, g);
        distances = _arb_vec_init(nb * n);
        pattern = flint_malloc(g * sizeof(slong));

        /* Sample reduced and exact tau, z; sample random pattern */
        acb_siegel_randtest_compact(tau, state, 1, prec);
        acb_siegel_randtest_vec_reduced(zs + g, state, nb - 1, tau, 1, prec);
        for (j = 0; j < g; j++)
        {
            pattern[j] = n_randint(state, 4);
        }

        if (shifted_prec)
        {
            acb_theta_eld_distances(distances, zs, nb, tau, prec);
        }
        acb_theta_ctx_tau_set(ctx_tau, tau, prec);
        for (j = 0; j < nb; j++)
        {
            acb_theta_ctx_z_set(&vec[j], zs + j * g, ctx_tau, prec);
            acb_theta_sum(test + j * nbth, &vec[j], 1, ctx_tau, distances + j * n, 1, all, 1, prec);
        }
        if (!shifted_prec)
        {
            /* distances are set to zero */
            acb_theta_sum(test, vec, nb, ctx_tau, distances, 1, all, 1, prec);
        }

        acb_theta_ql_exact(th, zs, nb, tau, pattern, all, shifted_prec, prec);

        if (!_acb_vec_overlaps(th, test, nb * nbth)
            || !_acb_vec_is_finite(test, nb * nbth)
            || !_acb_vec_is_finite(th, nb * nbth))
        {
            flint_printf("FAIL\n");
            flint_printf("\n\ng = %wd, prec = %wd, nb = %wd, all = %wd, shifted_prec = %wd\n",
                g, prec, nb, all, shifted_prec);
            acb_mat_printd(tau, 5);
            _acb_vec_printd(zs, nb * g, 5);
            flint_printf("result of sum:\n");
            _acb_vec_printd(test, nbth * nb, 5);
            flint_printf("pattern:\n");
            for (j = 0; j < g; j++)
            {
                flint_printf("%wd -> %wd\n", j, pattern[j]);
            }
            flint_printf("difference:\n");
            _acb_vec_sub(th, th, test, nb * nbth, prec);
            _acb_vec_printd(th, nb * nbth, 5);
            flint_abort();
        }

        acb_mat_clear(tau);
        _acb_vec_clear(zs, nb * g);
        _acb_vec_clear(th, nbth * nb);
        _acb_vec_clear(test, nbth * nb);
        acb_theta_ctx_tau_clear(ctx_tau);
        acb_theta_ctx_z_vec_clear(vec, nb);
        _arb_vec_clear(distances, nb * n);
        flint_free(pattern);
    }

    TEST_FUNCTION_END(state);
}