corsika::LinearApproximationIntegrator< TDerived > Class Template Reference

Helper class to integrate 1D density functions. More...

#include <LinearApproximationIntegrator.hpp>

Public Member Functions
GrammageType	getIntegrateGrammage (BaseTrajectory const &line) const
	Get the integrated Grammage along line. More...
LengthType	getArclengthFromGrammage (BaseTrajectory const &line, GrammageType grammage) const
	Get the arclength from Grammage along line. More...
LengthType	getMaximumLength (BaseTrajectory const &line, double relError) const
	Get the maximum length l to keep uncertainty below \[ relError \] . More...

Detailed Description

template<typename TDerived>
class corsika::LinearApproximationIntegrator< TDerived >

Helper class to integrate 1D density functions.

Integrated density (grammage) can be calculated along a Trajectory. Also the inverse (arclength) for a specified grammage can be calculated. In addition, also a maximum possible length for a maximum allowed uncertainty can be evaluated.

Template Parameters

TDerived

Must provide the evaluateAt and getFirstDerivative methods.

Definition at line 30 of file LinearApproximationIntegrator.hpp.

Member Function Documentation

getArclengthFromGrammage()

template<typename TDerived >

LengthType corsika::LinearApproximationIntegrator< TDerived >::getArclengthFromGrammage	(	BaseTrajectory const &	line,
		GrammageType	grammage
	)		const

Get the arclength from Grammage along line.

Calculate as

\[ (1 - 0.5 * X * d\varrho/dl / (\varrho_0^2)) * X / \varrho_0 \]

.

Parameters

line
grammage

Returns

LengthType

getIntegrateGrammage()

template<typename TDerived >

GrammageType corsika::LinearApproximationIntegrator< TDerived >::getIntegrateGrammage

(

BaseTrajectory const &

line

)

const

Get the integrated Grammage along line.

Calculated as

\[ X=(\varrho_0 + 0.5* d\varrho/dl \cdot l ) l \]

.

Parameters

line

Returns

GrammageType

getMaximumLength()

template<typename TDerived >

LengthType corsika::LinearApproximationIntegrator< TDerived >::getMaximumLength	(	BaseTrajectory const &	line,
		double	relError
	)		const

Get the maximum length l to keep uncertainty below

\[ relError \]

.

Parameters

line
relError

Returns

LengthType

---

The documentation for this class was generated from the following file:

• corsika/media/LinearApproximationIntegrator.hpp