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/*
Copyright (C) 2020 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 "qqbar.h"
TEST_FUNCTION_START(qqbar_cmp_im, state)
{
slong iter;
for (iter = 0; iter < 1000 * 0.1 * flint_test_multiplier(); iter++)
{
qqbar_t x, y, xr, yr, t, u;
int c1, c2;
qqbar_init(x);
qqbar_init(y);
qqbar_init(xr);
qqbar_init(yr);
qqbar_init(t);
qqbar_init(u);
qqbar_randtest(x, state, 3, 100);
if (n_randint(state, 2))
qqbar_set(y, x);
else
qqbar_randtest(y, state, 3, 10);
if (n_randint(state, 2))
qqbar_conj(y, y);
qqbar_randtest_real(t, state, 1, 100);
qqbar_i(u);
qqbar_mul(t, t, u);
qqbar_add(x, x, t);
qqbar_im(xr, x);
qqbar_im(yr, y);
c1 = qqbar_cmp_im(x, y);
c2 = qqbar_cmp_re(xr, yr);
if (c1 != c2)
{
flint_printf("FAIL!\n");
flint_printf("x = "); qqbar_print(x); flint_printf("\n\n");
flint_printf("y = "); qqbar_print(y); flint_printf("\n\n");
flint_printf("%d\n\n", c1);
flint_printf("%d\n\n", c2);
flint_abort();
}
qqbar_clear(x);
qqbar_clear(y);
qqbar_clear(xr);
qqbar_clear(yr);
qqbar_clear(t);
qqbar_clear(u);
}
/* Some branches are difficult to reach with random test cases. */
{
qqbar_t x, y, z, i;
mag_t eps;
int which, ans, want;
qqbar_init(x);
qqbar_init(y);
qqbar_init(z);
qqbar_init(i);
mag_init(eps);
qqbar_i(i);
for (which = 0; which <= 8; which++)
{
if (which <= 4)
{
qqbar_set_si(x, 5);
qqbar_mul_si(z, i, 3);
qqbar_add(x, x, z);
qqbar_set_si(y, 6);
qqbar_mul_si(z, i, 3);
qqbar_add(y, y, z);
if (which == 0)
{
qqbar_set_d(z, 1e-30);
qqbar_mul(z, z, i);
qqbar_add(x, x, z);
want = 1;
}
else if (which == 1)
{
qqbar_set_d(z, -1e-30);
qqbar_mul(z, z, i);
qqbar_add(x, x, z);
want = -1;
}
else if (which == 2)
{
qqbar_set_d(z, -1e-30);
qqbar_mul(z, z, i);
qqbar_add(x, x, z);
mag_set_d(eps, 1e-15);
arb_add_error_mag(acb_imagref(QQBAR_ENCLOSURE(y)), eps);
want = -1;
}
else if (which == 3)
{
qqbar_set_d(z, 1e-30);
qqbar_mul(z, z, i);
qqbar_add(x, x, z);
mag_set_d(eps, 1e-15);
arb_add_error_mag(acb_imagref(QQBAR_ENCLOSURE(y)), eps);
want = 1;
}
else if (which == 4)
{
mag_set_d(eps, 1e-10);
arb_add_error_mag(acb_imagref(QQBAR_ENCLOSURE(x)), eps);
mag_set_d(eps, 1e-15);
arb_add_error_mag(acb_imagref(QQBAR_ENCLOSURE(y)), eps);
want = 0;
}
}
else if (which == 5)
{
qqbar_set_si(x, 5);
qqbar_set_si(y, 6);
mag_set_d(eps, 1e-10);
arb_add_error_mag(acb_imagref(QQBAR_ENCLOSURE(y)), eps);
want = 0;
}
else if (which == 6)
{
qqbar_sqrt_ui(x, 2);
qqbar_set_si(y, 1);
qqbar_add(y, y, i);
mag_set_d(eps, 1.1);
arb_add_error_mag(acb_imagref(QQBAR_ENCLOSURE(y)), eps);
want = -1;
}
else if (which == 7)
{
qqbar_sqrt_ui(x, 2);
qqbar_set_si(y, 1);
qqbar_sub(y, y, i);
mag_set_d(eps, 1.1);
arb_add_error_mag(acb_imagref(QQBAR_ENCLOSURE(y)), eps);
want = 1;
}
else if (which == 8)
{
qqbar_sqrt_ui(x, 2);
qqbar_sqrt_ui(y, 3);
mag_set_d(eps, 0.5);
arb_add_error_mag(acb_imagref(QQBAR_ENCLOSURE(y)), eps);
want = 0;
}
ans = qqbar_cmp_im(x, y);
if (ans != want)
{
flint_printf("FAIL!\n");
flint_printf("x = "); qqbar_print(x); flint_printf("\n\n");
flint_printf("y = "); qqbar_print(y); flint_printf("\n\n");
flint_printf("%d\n\n", ans);
flint_printf("%d\n\n", want);
flint_abort();
}
}
qqbar_clear(x);
qqbar_clear(y);
qqbar_clear(z);
qqbar_clear(i);
mag_clear(eps);
}
TEST_FUNCTION_END(state);
}