Function which interpolates, with possible smoothing, between points. More...

Inheritance diagram for Core::InterpolatingFunctionALGLIB:

Collaboration diagram for Core::InterpolatingFunctionALGLIB:

Public Member Functions
	InterpolatingFunctionALGLIB ()
	Needed by the Boost serializer. More...

	InterpolatingFunctionALGLIB (const std::valarray< double > &x, const std::valarray< double > &y, const std::valarray< double > &yprime=std::valarray< double >(), double smoothing=NaN, int degrees_of_freedom=-1)
	Constuct an interpolating function. More...

	InterpolatingFunctionALGLIB (const double x, const double y, size_t num_points, const double *yprime=NULL, double smoothing=NaN, int degrees_of_freedom=-1)
	Constuct an interpolating function. More...

double	operator() (double x) const
	Returns the value of the interpolating function at the given abscissa. More...

const CubicSplineDerivatives *	deriv (double x) const
	The derivatives of the interpolating function at the given abscissa. More...

double	range_high () const
	The maximum abscissa at which the function is defined. More...

double	range_low () const
	The minimum abscissa at which the function is defined. More...

InterpSolutionIterator	crossings (double y=0) const
	Iterator over the abscissas where the function takes the given y value. More...

Public Member Functions inherited from Core::OneArgumentFunction< double, double >
virtual	~OneArgumentFunction ()
	Provide a virtual destructor for a virtual class. More...

Private Member Functions
template<class Archive >
void	serialize (Archive &ar, const unsigned int)
	Serialize this function. More...

Private Attributes
SerializableSpline1dInterpolant	__spline
	The interpolating function information necessary to evaluate at any given point. More...

double	__min_x
	The smallest abscissa covered by the spline points. More...

double	__max_x
	The largest abscissa covered by the spline points. More...

Friends
class	boost::serialization::access
	Needed for serialization to work. More...

Detailed Description

Function which interpolates, with possible smoothing, between points.

Constructor & Destructor Documentation

Core::InterpolatingFunctionALGLIB::InterpolatingFunctionALGLIB ( )

inline

Needed by the Boost serializer.

Core::InterpolatingFunctionALGLIB::InterpolatingFunctionALGLIB	(	const std::valarray< double > &	x,
		const std::valarray< double > &	y,
		const std::valarray< double > &	yprime = `std::valarray<double>()`,
		double	smoothing = `NaN`,
		int	degrees_of_freedom = `-1`
	)

inline

Constuct an interpolating function.

Based on the ALGLIB (smoothing) cubic spline interpolation.

Parameters

x	The abscissas of tabulated points to fit.
y	The ordinates of tabulated points to fit.
yprime	The values of the derivatives to impose on the nodes.
smoothing	How much smoothing to apply. Omit for no smoothnig, i.e. the interpolating curve passes through all the points).
degrees_of_freedom	How many degrees of freedom to use for smoothing interpolation. Ignored for non-smoothing interpolation. If omitted it is set to 3 times the number of points being fitted.

Core::InterpolatingFunctionALGLIB::InterpolatingFunctionALGLIB	(	const double *	x,
		const double *	y,
		size_t	num_points,
		const double *	yprime = `NULL`,
		double	smoothing = `NaN`,
		int	degrees_of_freedom = `-1`
	)

Constuct an interpolating function.

Based on the ALGLIB (smoothing) cubic spline interpolation.

Parameters

x	The abscissas of tabulated points to fit.
y	The ordinates of tabulated points to fit.
num_points	The number of input points.
yprime	The values of the derivatives to impose on the nodes.
smoothing	How much smoothing to apply. Omit for no smoothnig, i.e. the interpolating curve passes through all the points).
degrees_of_freedom	How many degrees of freedom to use for smoothing interpolation. Ignored for non-smoothing interpolation. If omitted it is set to 3 times the number of points being fitted.