MR::Math::Legendre Namespace Reference

Functions
template<typename ValueType >
ValueType	factorial (const ValueType n)
template<typename ValueType >
ValueType	double_factorial (const ValueType n)
template<typename ValueType >
ValueType	Plm (const int l, const int m, const ValueType x)
template<typename ValueType >
ValueType	Plm_sph (const int l, const int m, const ValueType x)
template<typename VectorType >
void	Plm_sph (VectorType &array, const int lmax, const int m, const typename VectorType::Scalar x)
template<typename VectorType >
void	Plm_sph_deriv (VectorType &array, const int lmax, const int m, const typename VectorType::Scalar x)

Function Documentation

double_factorial()

template<typename ValueType >

ValueType MR::Math::Legendre::double_factorial ( const ValueType  n )

inline

Definition at line 36 of file legendre.h.

factorial()

template<typename ValueType >

ValueType MR::Math::Legendre::factorial ( const ValueType  n )

inline

Definition at line 30 of file legendre.h.

Plm()

template<typename ValueType >

ValueType MR::Math::Legendre::Plm ( const int  l, const int  m, const ValueType  x  )

inline

Definition at line 42 of file legendre.h.

Plm_sph() [1/2]

template<typename ValueType >

ValueType MR::Math::Legendre::Plm_sph ( const int  l, const int  m, const ValueType  x  )

inline

Definition at line 73 of file legendre.h.

Plm_sph() [2/2]

template<typename VectorType >

void MR::Math::Legendre::Plm_sph ( VectorType &  array, const int  lmax, const int  m, const typename VectorType::Scalar  x  )

inline

Note

upon completion, the (l,m) value will be stored in array[l]. Entries in array for l<m will be left undefined.

Definition at line 101 of file legendre.h.

Plm_sph_deriv()

template<typename VectorType >

void MR::Math::Legendre::Plm_sph_deriv ( VectorType &  array, const int  lmax, const int  m, const typename VectorType::Scalar  x  )

inline

Note

this function expects the previously computed array of associated Legendre functions to be stored in array, (as computed by Plm_sph (VectorType& array, const int lmax, const int m, const ValueType x)) and will overwrite the values in array with the derivatives

Definition at line 132 of file legendre.h.