jcs.org
Serenity Operating System
1/*
2 * Copyright (c) 2021, Cesar Torres <shortanemoia@protonmail.com>
3 *
4 * SPDX-License-Identifier: BSD-2-Clause
5 */
6
7#include <LibTest/TestCase.h>
8
9#include <AK/Complex.h>
10
11TEST_CASE(Complex)
12{
13 auto a = Complex<float> { 1.f, 1.f };
14 auto b = complex_real_unit<double> + Complex<double> { 0, 1 } * 1;
15 EXPECT_APPROXIMATE(a.real(), b.real());
16 EXPECT_APPROXIMATE(a.imag(), b.imag());
17
18#ifdef AKCOMPLEX_CAN_USE_MATH_H
19 EXPECT_APPROXIMATE((complex_imag_unit<float> - complex_imag_unit<float>).magnitude(), 0);
20 EXPECT_APPROXIMATE((complex_imag_unit<float> + complex_real_unit<float>).magnitude(), sqrt(2));
21
22 auto c = Complex<double> { 0., 1. };
23 auto d = Complex<double>::from_polar(1., M_PI / 2.);
24 EXPECT_APPROXIMATE(c.real(), d.real());
25 EXPECT_APPROXIMATE(c.imag(), d.imag());
26
27 c = Complex<double> { -1., 1. };
28 d = Complex<double>::from_polar(sqrt(2.), 3. * M_PI / 4.);
29 EXPECT_APPROXIMATE(c.real(), d.real());
30 EXPECT_APPROXIMATE(c.imag(), d.imag());
31 EXPECT_APPROXIMATE(d.phase(), 3. * M_PI / 4.);
32 EXPECT_APPROXIMATE(c.magnitude(), d.magnitude());
33 EXPECT_APPROXIMATE(c.magnitude(), sqrt(2.));
34#endif
35 EXPECT_EQ((complex_imag_unit<double> * complex_imag_unit<double>).real(), -1.);
36 EXPECT_EQ((complex_imag_unit<double> / complex_imag_unit<double>).real(), 1.);
37
38 EXPECT_EQ(Complex(1., 10.) == (Complex<double>(1., 0.) + Complex(0., 10.)), true);
39 EXPECT_EQ(Complex(1., 10.) != (Complex<double>(1., 1.) + Complex(0., 10.)), true);
40#ifdef AKCOMPLEX_CAN_USE_MATH_H
41 EXPECT_EQ(approx_eq(Complex<int>(1), Complex<float>(1.0000004f)), true);
42 EXPECT_APPROXIMATE(cexp(Complex<double>(0., 1.) * M_PI).real(), -1.);
43#endif
44}