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Namespace inertialsim::geometry::legendre

Namespace List > inertialsim > geometry > legendre

Public Functions

Type Name
double AssociatedFunction (int degree, int order, double value)
Evaluate associated Legendre functions.
double SemiNormalizedAssociatedFunction (int degree, int order, double value)
Evaluate Schmidt semi-normalized associated Legendre functions.

Public Functions Documentation

function AssociatedFunction

Evaluate associated Legendre functions. 

double inertialsim::geometry::legendre::AssociatedFunction (
    int degree,
    int order,
    double value
)

Evaluates the associated Legendre function of the input degree and order at the input value. The implementation does not include the Condon-Shortley phase (-1^m) term.

Parameters:

  • degree Degree of the function.
  • order Order of the function.
  • value Value at which to evaluate the function.

Returns:

The value of the associated Legendre function.

function SemiNormalizedAssociatedFunction

Evaluate Schmidt semi-normalized associated Legendre functions. 

double inertialsim::geometry::legendre::SemiNormalizedAssociatedFunction (
    int degree,
    int order,
    double value
)

Evaluates the Schmidt semi-normalized associated Legendre function of the first kind.

Parameters:

  • degree Degree of the function.
  • order Order of the function.
  • value Value at which to evaluate the function.

Returns:

The value of the Schmidt semi-normalized function.

The documentation for this class was generated from the following file cpp/include/inertialsim/geometry/legendre.h