Factorial.H File Reference

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

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

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Function Documentation

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< Dim, P >::divideByFactorial(), IndexedMoments< Dim, P >::multiplyByFactorial(), nCk(), and pfactorial().

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< Dim, P >::setRegular(), and IndexedMoments< Dim, P >::shift().

Real nCk	(	const int	n,
		const int	k
	)			[inline]

Calculates the binomial coefficient, "n choose k".

References CH_assert, and factorial().

Referenced by pCk().

template<int Dim>

Real pfactorial

(

const IndexTM< int, Dim >

p

)

[inline]

Calculates factorials for a multinomial.

References CH_assert, and factorial().

Referenced by IndexedMoments< Dim, P >::divideByFactorial(), and IndexedMoments< Dim, P >::multiplyByFactorial().

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().

template<int Dim>

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

calculate x^p

References ipow().