anonymous_namespace{IPeakShape.cpp} Namespace Reference

Functions
double	FisherDistribution (double x, double kappa)
double	FisherPrefactor (double kappa)
double	MisesPrefactor (double kappa)
double	Gauss3D (double q2, double domainsize)
double	Cauchy3D (double q2, double domainsize)

Variables
const double	maxkappa = std::log(1.0 / std::numeric_limits<double>::epsilon()) / 2.0
const double	maxkappa2 = std::log(std::numeric_limits<double>::max())

Function Documentation

FisherDistribution()

double anonymous_namespace{IPeakShape.cpp}::FisherDistribution	(	double	x,
		double	kappa
	)

Definition at line 27 of file IPeakShape.cpp.

{
    if (kappa <= 0.0) {
        return 1.0 / (4.0 * M_PI);
    }
    double prefactor = kappa / (4.0 * M_PI);
    if (kappa > maxkappa) {
        return 2.0 * prefactor * std::exp(kappa * (x - 1.0));
    }
    return prefactor * std::exp(kappa * x) / std::sinh(kappa);
}

References M_PI, maxkappa, and anonymous_namespace{ProfileHelper.cpp}::prefactor.

Referenced by GaussFisherPeakShape::evaluate(), LorentzFisherPeakShape::evaluate(), and MisesFisherGaussPeakShape::evaluate().

FisherPrefactor()

double anonymous_namespace{IPeakShape.cpp}::FisherPrefactor

(

double

kappa

)

Definition at line 39 of file IPeakShape.cpp.

{
    if (kappa <= 0.0) {
        return 1.0 / (4.0 * M_PI);
    }
    if (kappa > maxkappa) {
        return kappa / 2.0 / M_PI;
    } else {
        return kappa * std::exp(kappa) / 4.0 / M_PI / std::sinh(kappa);
    }
}

References M_PI, and maxkappa.

Referenced by MisesFisherGaussPeakShape::evaluate().

MisesPrefactor()

double anonymous_namespace{IPeakShape.cpp}::MisesPrefactor

(

double

kappa

)

Definition at line 51 of file IPeakShape.cpp.

{
    if (kappa <= 0.0) {
        return 1.0 / (2.0 * M_PI);
    }
    if (kappa > maxkappa2) {
        return std::sqrt(kappa / 2.0 / M_PI) / (1.0 + 1.0 / (8.0 * kappa));
    } else {
        return std::exp(kappa) / (2.0 * M_PI * MathFunctions::Bessel_I0(kappa));
    }
}

References MathFunctions::Bessel_I0(), M_PI, and maxkappa2.

Referenced by MisesFisherGaussPeakShape::evaluate(), and MisesGaussPeakShape::evaluate().

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Gauss3D()

double anonymous_namespace{IPeakShape.cpp}::Gauss3D	(	double	q2,
		double	domainsize
	)

Definition at line 63 of file IPeakShape.cpp.

{
    double norm_factor = std::pow(domainsize / std::sqrt(M_TWOPI), 3.0);
    double exponent = -q2 * domainsize * domainsize / 2.0;
    return norm_factor * std::exp(exponent);
}

References M_TWOPI.

Referenced by IsotropicGaussPeakShape::evaluate(), GaussFisherPeakShape::evaluate(), MisesFisherGaussPeakShape::evaluate(), MisesGaussPeakShape::evaluate(), and MisesGaussPeakShape::integrand().

Cauchy3D()

double anonymous_namespace{IPeakShape.cpp}::Cauchy3D	(	double	q2,
		double	domainsize
	)

Definition at line 70 of file IPeakShape.cpp.

{
    double lorentz1 = domainsize / (1.0 + q2 * domainsize * domainsize) / M_PI;
    return domainsize * lorentz1 * lorentz1;
}

References M_PI.

Referenced by IsotropicLorentzPeakShape::evaluate(), and LorentzFisherPeakShape::evaluate().

Variable Documentation

maxkappa

const double anonymous_namespace{IPeakShape.cpp}::maxkappa = std::log(1.0 / std::numeric_limits<double>::epsilon()) / 2.0

Definition at line 24 of file IPeakShape.cpp.

Referenced by FisherDistribution(), and FisherPrefactor().

maxkappa2

const double anonymous_namespace{IPeakShape.cpp}::maxkappa2 = std::log(std::numeric_limits<double>::max())

Definition at line 25 of file IPeakShape.cpp.

Referenced by MisesPrefactor().