Unit tests for GSL complex number operations. More...

#include <gtest/gtest.h>
#include <cmath>
#include <complex>
#include "Utilities/GSLComplex.h"

Include dependency graph for TestGSLComplex.cpp:

Classes
class	GSLComplexTest

Functions
	TEST_F (GSLComplexTest, CreateRectangular)

	TEST_F (GSLComplexTest, CreatePolar)

	TEST_F (GSLComplexTest, Addition)

	TEST_F (GSLComplexTest, Subtraction)

	TEST_F (GSLComplexTest, Multiplication)

	TEST_F (GSLComplexTest, Division)

	TEST_F (GSLComplexTest, Conjugate)

	TEST_F (GSLComplexTest, Absolute)

	TEST_F (GSLComplexTest, Argument)

	TEST_F (GSLComplexTest, Tanh)

	TEST_F (GSLComplexTest, Exp)

	TEST_F (GSLComplexTest, Log)

Detailed Description

Unit tests for GSL complex number operations.

This file contains unit tests for GSL-compatible complex number operations. The implementation provides a wrapper around std::complex<double> with GSL-compatible function names and interfaces.

Test:: GSLComplexTest::CreateRectangular Tests creation of complex numbers in rectangular form \(z = a + bi\). Verifies that real and imaginary parts are correctly stored and can be retrieved using GSL_REAL and GSL_IMAG macros.

Test:: GSLComplexTest::CreatePolar Tests creation of complex numbers in polar form \(z = r e^{i\theta}\). Verifies that polar coordinates are correctly converted to rectangular form: \(a = r\cos\theta\), \(b = r\sin\theta\).

Test:: GSLComplexTest::Addition Tests complex number addition: \((a_1 + b_1i) + (a_2 + b_2i) = (a_1+a_2) + (b_1+b_2)i\). Verifies correct computation of real and imaginary parts.

Test:: GSLComplexTest::Subtraction Tests complex number subtraction: \((a_1 + b_1i) - (a_2 + b_2i) = (a_1-a_2) + (b_1-b_2)i\).

Test:: GSLComplexTest::Multiplication Tests complex number multiplication using the identity: \((a_1 + b_1i)(a_2 + b_2i) = (a_1a_2 - b_1b_2) + (a_1b_2 + a_2b_1)i\).

Test:: GSLComplexTest::Division Tests complex number division. Verifies special case: \(1/i = -i\).

Test:: GSLComplexTest::Conjugate Tests complex conjugate: \(\overline{a + bi} = a - bi\). Verifies that the real part remains unchanged and the imaginary part is negated.

Test:: GSLComplexTest::Absolute Tests complex absolute value (modulus): \(|a + bi| = \sqrt{a^2 + b^2}\). Verifies correct computation for a 3-4-5 right triangle case.

Test:: GSLComplexTest::Argument Tests complex argument (phase): \(\arg(a + bi) = \arctan(b/a)\). Verifies correct computation for \(1 + i\) (should be \(\pi/4\)).

Test:: GSLComplexTest::Tanh Tests complex hyperbolic tangent function. Verifies behavior for real arguments ( \(\tanh(1)\)) and purely imaginary arguments ( \(\tanh(i) = i\tan(1)\)).

Test:: GSLComplexTest::Exp Tests complex exponential function. Verifies Euler's identity: \(e^{i\pi} = -1\).

Test:: GSLComplexTest::Log Tests complex logarithm function. Verifies that \(\ln(1) = 0\) for the principal branch.

Definition in file TestGSLComplex.cpp.

Function Documentation