Class for performing function interpolation of points.

The class is instantiated with an interpolation methods, passed as an enumeration in the constructor. See Interpolation::Type for the available interpolation algorithms, which are implemented using GSL. See also the <A HREF=http://www.gnu.org/software/gsl/manual/html_node/Interpolation.html">GSL manual for more information. The class provides additional methods for computing derivatives and integrals of interpolating functions.

This class does not support copying.

Definition at line 66 of file Interpolator.h.

Public Member Functions
	Interpolator (unsigned int ndata=0, Interpolation::Type type=Interpolation::kCSPLINE)
	Constructs an interpolator class from number of data points and with Interpolation::Type type. More...

	Interpolator (const std::vector< double > &x, const std::vector< double > &y, Interpolation::Type type=Interpolation::kCSPLINE)
	Constructs an interpolator class from vector of data points \( (x_i, y_i )\) and with Interpolation::Type type. More...

virtual	~Interpolator ()

bool	SetData (const std::vector< double > &x, const std::vector< double > &y)
	Set the data vector ( x[] and y[] ) To be efficient, the size of the data must be the same of the value used in the constructor (ndata) If this is not the case a new re-initialization is performed with the new data size. More...

bool	SetData (unsigned int ndata, const double x, const double y)
	Set the data vector ( x[] and y[] ) To be efficient, the size of the data must be the same of the value used when constructing the class (ndata) If this is not the case a new re-initialization is performed with the new data size. More...

double	Eval (double x) const
	Return the interpolated value at point x. More...

double	Deriv (double x) const
	Return the derivative of the interpolated function at point x. More...

double	Deriv2 (double x) const
	Return the second derivative of the interpolated function at point x. More...

double	Integ (double a, double b) const
	Return the Integral of the interpolated function over the range [a,b]. More...

std::string	Type () const
	Return the type of interpolation method. More...

std::string	TypeGet () const

Private Member Functions
	Interpolator (const Interpolator &)

Interpolator &	operator= (const Interpolator &)

Private Attributes
GSLInterpolator *	fInterp

#include <Math/Interpolator.h>

Collaboration diagram for ROOT::Math::Interpolator:

Constructor & Destructor Documentation

ROOT::Math::Interpolator::Interpolator	(	unsigned int	ndata = `0`,
		Interpolation::Type	type = `Interpolation::kCSPLINE`
	)

Constructs an interpolator class from number of data points and with Interpolation::Type type.

The data can be set later on with the SetData method. In case the data size is not known, better using the default of zero or the next constructor later on. The default interpolation type is Cubic spline

Definition at line 39 of file Interpolator.cxx.

ROOT::Math::Interpolator::Interpolator	(	const std::vector< double > &	x,
		const std::vector< double > &	y,
		Interpolation::Type	type = `Interpolation::kCSPLINE`
	)

Constructs an interpolator class from vector of data points \( (x_i, y_i )\) and with Interpolation::Type type.

The method will compute a continuous interpolating function \( y(x) \) such that \( y_i = y ( x_i )\). The default interpolation type is Cubic spline

Definition at line 44 of file Interpolator.cxx.

ROOT::Math::Interpolator::~Interpolator ( )

virtual

Definition at line 57 of file Interpolator.cxx.

ROOT::Math::Interpolator::Interpolator ( const Interpolator & )

private

Definition at line 63 of file Interpolator.cxx.

Member Function Documentation

double ROOT::Math::Interpolator::Deriv ( double x ) const

Return the derivative of the interpolated function at point x.

Definition at line 92 of file Interpolator.cxx.

Referenced by interpolate().

double ROOT::Math::Interpolator::Deriv2 ( double x ) const

Return the second derivative of the interpolated function at point x.

Definition at line 98 of file Interpolator.cxx.

Referenced by interpolate().

double ROOT::Math::Interpolator::Eval ( double x ) const

Return the interpolated value at point x.

Definition at line 86 of file Interpolator.cxx.

Referenced by interpolate().

double ROOT::Math::Interpolator::Integ	(	double	a,
		double	b
	)		const

Return the Integral of the interpolated function over the range [a,b].

Definition at line 103 of file Interpolator.cxx.

Referenced by interpolate().

Interpolator & ROOT::Math::Interpolator::operator= ( const Interpolator & rhs )

private

Definition at line 67 of file Interpolator.cxx.

bool ROOT::Math::Interpolator::SetData	(	const std::vector< double > &	x,
		const std::vector< double > &	y
	)

Set the data vector ( x[] and y[] ) To be efficient, the size of the data must be the same of the value used in the constructor (ndata) If this is not the case a new re-initialization is performed with the new data size.

Definition at line 79 of file Interpolator.cxx.

Referenced by testInterpolation().

bool ROOT::Math::Interpolator::SetData	(	unsigned int	ndata,
		const double *	x,
		const double *	y
	)

Set the data vector ( x[] and y[] ) To be efficient, the size of the data must be the same of the value used when constructing the class (ndata) If this is not the case a new re-initialization is performed with the new data size.

Definition at line 75 of file Interpolator.cxx.

std::string ROOT::Math::Interpolator::Type ( ) const

Return the type of interpolation method.

Definition at line 112 of file Interpolator.cxx.

Referenced by interpolate().

std::string ROOT::Math::Interpolator::TypeGet ( ) const

Definition at line 108 of file Interpolator.cxx.

Member Data Documentation

GSLInterpolator* ROOT::Math::Interpolator::fInterp

private

Definition at line 139 of file Interpolator.h.

Referenced by Deriv(), Deriv2(), Eval(), Integ(), Interpolator(), SetData(), Type(), TypeGet(), and ~Interpolator().

The documentation for this class was generated from the following files:

math/mathmore/inc/Math/Interpolator.h
math/mathmore/src/Interpolator.cxx

Public Member Functions

Private Member Functions

Private Attributes

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation