Defines namespace MathFunctions. More...

Namespaces
	MathFunctions
	Various mathematical functions.

Enumerations
enum	EFFTDirection { FORWARD_FFT , BACKWARD_FFT }

Functions
double	MathFunctions::StandardNormal (double x)

double	MathFunctions::Gaussian (double x, double average, double std_dev)

double	MathFunctions::IntegratedGaussian (double x, double average, double std_dev)

double	MathFunctions::cot (double x)
	cotangent function: $cot(x)\equiv1/tan(x)$

double	MathFunctions::Si (double x)
	Sine integral function: $Si(x)\equiv\int_0^x du \sin(u)/u$ .

double	MathFunctions::sinc (double x)
	sinc function: $sinc(x)\equiv\sin(x)/x$

complex_t	MathFunctions::sinc (const complex_t z)
	Complex sinc function: $sinc(x)\equiv\sin(x)/x$ .

complex_t	MathFunctions::tanhc (const complex_t z)
	Complex tanhc function: $tanhc(x)\equiv\tanh(x)/x$ .

double	MathFunctions::Laue (const double x, size_t N)
	Real Laue function: $Laue(x,N)\equiv\sin(Nx)/sin(x)$ .

double	MathFunctions::erf (double arg)
	Error function of real-valued argument.

double	MathFunctions::Bessel_J0 (double x)
	Bessel function of the first kind and order 0.

double	MathFunctions::Bessel_J1 (double x)
	Bessel function of the first kind and order 1.

double	MathFunctions::Bessel_J1c (double x)
	Bessel function Bessel_J1(x)/x.

double	MathFunctions::Bessel_I0 (double x)
	Modified Bessel function of the first kind and order 0.

complex_t	MathFunctions::Bessel_J0 (const complex_t z)
	Complex Bessel function of the first kind and order 0.

complex_t	MathFunctions::Bessel_J1 (const complex_t z)
	Complex Bessel function of the first kind and order 1.

complex_t	MathFunctions::Bessel_J1c (const complex_t z)
	Complex Bessel function Bessel_J1(x)/x.

std::vector< complex_t >	MathFunctions::FastFourierTransform (const std::vector< complex_t > &data, EFFTDirection tcase)
	simple (and unoptimized) wrapper function for the discrete fast Fourier transformation library (fftw3)

std::vector< complex_t >	MathFunctions::FastFourierTransform (const std::vector< double > &data, EFFTDirection tcase)
	simple (and unoptimized) wrapper function for the discrete fast Fourier transformation library (fftw3); transforms real to complex

std::vector< complex_t >	MathFunctions::ConvolveFFT (const std::vector< double > &signal, const std::vector< double > &resfunc)
	convolution of two real vectors of equal size

double	MathFunctions::GenerateUniformRandom ()

double	MathFunctions::GenerateStandardNormalRandom ()

double	MathFunctions::GenerateNormalRandom (double average, double std_dev)

double	MathFunctions::GeneratePoissonRandom (double average)

Detailed Description

Defines namespace MathFunctions.

Homepage:\n http://www.bornagainproject.org

License:\n GNU General Public License v3 or higher (see COPYING)

Authors: Scientific Computing Group at MLZ (see CITATION, AUTHORS)

Definition in file MathFunctions.h.

Namespaces

Enumerations

Functions

Detailed Description