Unit tests for GSL numerical integration routines. More...

#include <gtest/gtest.h>
#include <cmath>
#include "Utilities/GSLIntegration.h"

Include dependency graph for TestGSLIntegration.cpp:

Classes
class	GSLIntegrationTest

Functions
double	linear_func (double x, void *)

double	quadratic_func (double x, void *)

double	sin_func (double x, void *)

double	exp_func (double x, void *)

	TEST_F (GSLIntegrationTest, LinearFunction)

	TEST_F (GSLIntegrationTest, QuadraticFunction)

	TEST_F (GSLIntegrationTest, SinFunction)

	TEST_F (GSLIntegrationTest, ExpFunction)

	TEST_F (GSLIntegrationTest, NegativeRange)

	TEST_F (GSLIntegrationTest, SmallRange)

Detailed Description

Unit tests for GSL numerical integration routines.

This file contains unit tests for GSL-compatible numerical integration routines. The implementation uses adaptive Simpson's rule for computing definite integrals with specified error tolerances.

Test:: GSLIntegrationTest::LinearFunction Tests integration of a linear function \(f(x) = x\) over the interval \([0, 1]\). Verifies that \(\int_0^1 x \, dx = \frac{1}{2}\) is computed correctly within the specified tolerance.

Test:: GSLIntegrationTest::QuadraticFunction Tests integration of a quadratic function \(f(x) = x^2\) over the interval \([0, 2]\). Verifies that \(\int_0^2 x^2 \, dx = \frac{8}{3}\) is computed correctly.

Test:: GSLIntegrationTest::SinFunction Tests integration of the sine function \(f(x) = \sin(x)\) over the interval \([0, \pi]\). Verifies that \(\int_0^{\pi} \sin(x) \, dx = 2\) is computed correctly, confirming proper handling of oscillatory functions.

Test:: GSLIntegrationTest::ExpFunction Tests integration of the exponential function \(f(x) = e^x\) over the interval \([0, 1]\). Verifies that \(\int_0^1 e^x \, dx = e - 1\) is computed correctly.

Test:: GSLIntegrationTest::NegativeRange Tests integration over a range that includes negative values. Verifies that \(\int_{-1}^1 x \, dx = 0\) (odd function over symmetric interval) is computed correctly.

Test:: GSLIntegrationTest::SmallRange Tests integration over a small interval. Verifies that the adaptive algorithm works correctly for narrow integration ranges and maintains accuracy.

Definition in file TestGSLIntegration.cpp.