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/*
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_theta.h"
TEST_FUNCTION_START(acb_theta_g2_character, state)
{
slong iter;
/* Test: agrees with kappa2 */
for (iter = 0; iter < 200 * flint_test_multiplier(); iter++)
{
fmpz_mat_t mat;
slong bits = n_randint(state, 10);
slong ab, eps, u, test;
fmpz_mat_init(mat, 4, 4);
sp2gz_randtest(mat, state, bits);
eps = acb_theta_g2_character(mat);
test = 10 * acb_theta_transform_kappa2(mat); /* 10 theta constants */
for (ab = 0; ab < 16; ab++)
{
if (acb_theta_char_is_even(ab, 2))
{
acb_theta_transform_char(&u, mat, ab);
test += u;
}
}
if (test % 4 != 0)
{
flint_printf("FAIL (%wd mod 4)\n", test % 4);
fmpz_mat_print_pretty(mat);
flint_printf("\n");
flint_abort();
}
test = (test / 4) % 2;
if (eps != test)
{
flint_printf("FAIL (%wd != %wd)\n", eps, test);
fmpz_mat_print_pretty(mat);
flint_printf("\n");
flint_abort();
}
fmpz_mat_clear(mat);
}
TEST_FUNCTION_END(state);
}