Factorial.H File Reference

#include "MayDay.H"
#include "RealVect.H"
#include "IndexTM.H"
#include "NamespaceHeader.H"
#include "NamespaceFooter.H"

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Macros
#define	_FACTORIAL_H_

Functions
Real	factorial (const int n)
	Calculates factorial for an integer. More...
Real	POW (const Real &a_x, const int &a_p)
	computes x^p More...
Real	nCk (const int n, const int k)
	Calculates the binomial coefficient, "n choose k". More...
template<int Dim>
Real	pfactorial (const IndexTM< int, Dim > p)
	Calculates factorials for a multinomial. More...
template<int Dim>
Real	pCk (const IndexTM< int, Dim > &p, const IndexTM< int, Dim > &k)
	Calculates the multinomial coefficient, "p choose k". More...
template<int Dim>
Real	power (const IndexTM< Real, Dim > &a_x, const IndexTM< int, Dim > &a_p)
	calculate x^p More...

Macro Definition Documentation

_FACTORIAL_H_

#define _FACTORIAL_H_

Function Documentation

factorial()

Real factorial ( const int  n )

inline

Calculates factorial for an integer.

These helper functions calculate factorials, binomial coeff, etc. for multinomials.

References CH_assert.

Referenced by CutCellMoments< dim >::changeMomentCoordinates(), IndexedMoments< SpaceDim, CH_EBIS_ORDER >::divideByFactorial(), IndexedMoments< SpaceDim, CH_EBIS_ORDER >::multiplyByFactorial(), nCk(), and pfactorial().

POW()

Real POW ( const Real &  a_x, const int &  a_p  )

inline

computes x^p

References Abs().

Referenced by MinimalCCCM< dim >::computeRhs(), LSProblem< dim >::momentBounds(), LSProblem< dim >::monoMaxMin(), IndexedMoments< SpaceDim, CH_EBIS_ORDER >::setRegular(), and IndexedMoments< SpaceDim, CH_EBIS_ORDER >::shift().

nCk()

Real nCk ( const int  n, const int  k  )

inline

Calculates the binomial coefficient, "n choose k".

References CH_assert, and factorial().

Referenced by pCk().

pfactorial()

template<int Dim>

Real pfactorial ( const IndexTM< int, Dim >  p )

inline

Calculates factorials for a multinomial.

References CH_assert, and factorial().

Referenced by IndexedMoments< SpaceDim, CH_EBIS_ORDER >::divideByFactorial(), and IndexedMoments< SpaceDim, CH_EBIS_ORDER >::multiplyByFactorial().

pCk()

template<int Dim>

Real pCk ( const IndexTM< int, Dim > &  p, const IndexTM< int, Dim > &  k  )

inline

Calculates the multinomial coefficient, "p choose k".

References nCk().

power()

template<int Dim>

Real power ( const IndexTM< Real, Dim > &  a_x, const IndexTM< int, Dim > &  a_p  )

inline

calculate x^p

References ipow().