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/*
* Copyright (c) 2021, Cesar Torres <shortanemoia@protonmail.com>
*
* SPDX-License-Identifier: BSD-2-Clause
*/
#include <LibTest/TestCase.h>
#include <AK/Complex.h>
TEST_CASE(Complex)
{
auto a = Complex<float> { 1.f, 1.f };
auto b = complex_real_unit<double> + Complex<double> { 0, 1 } * 1;
EXPECT_APPROXIMATE(a.real(), b.real());
EXPECT_APPROXIMATE(a.imag(), b.imag());
#ifdef AKCOMPLEX_CAN_USE_MATH_H
EXPECT_APPROXIMATE((complex_imag_unit<float> - complex_imag_unit<float>).magnitude(), 0);
EXPECT_APPROXIMATE((complex_imag_unit<float> + complex_real_unit<float>).magnitude(), sqrt(2));
auto c = Complex<double> { 0., 1. };
auto d = Complex<double>::from_polar(1., M_PI / 2.);
EXPECT_APPROXIMATE(c.real(), d.real());
EXPECT_APPROXIMATE(c.imag(), d.imag());
c = Complex<double> { -1., 1. };
d = Complex<double>::from_polar(sqrt(2.), 3. * M_PI / 4.);
EXPECT_APPROXIMATE(c.real(), d.real());
EXPECT_APPROXIMATE(c.imag(), d.imag());
EXPECT_APPROXIMATE(d.phase(), 3. * M_PI / 4.);
EXPECT_APPROXIMATE(c.magnitude(), d.magnitude());
EXPECT_APPROXIMATE(c.magnitude(), sqrt(2.));
#endif
EXPECT_EQ((complex_imag_unit<double> * complex_imag_unit<double>).real(), -1.);
EXPECT_EQ((complex_imag_unit<double> / complex_imag_unit<double>).real(), 1.);
EXPECT_EQ(Complex(1., 10.) == (Complex<double>(1., 0.) + Complex(0., 10.)), true);
EXPECT_EQ(Complex(1., 10.) != (Complex<double>(1., 1.) + Complex(0., 10.)), true);
#ifdef AKCOMPLEX_CAN_USE_MATH_H
EXPECT_EQ(approx_eq(Complex<int>(1), Complex<float>(1.0000004f)), true);
EXPECT_APPROXIMATE(cexp(Complex<double>(0., 1.) * M_PI).real(), -1.);
#endif
}
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