ROOT 6.08/07 Reference Guide 
Class describing a Chebyshev series which can be used to approximate a function in a defined range [a,b] using Chebyshev polynomials.
It uses the algorithm from GSL
This class does not support copying
Definition at line 75 of file ChebyshevApprox.h.
Public Member Functions  
ChebyshevApprox (const ROOT::Math::IGenFunction &f, double a, double b, size_t n)  
Construct a Chebyshev series approximation to a Function f in range [a,b]; constructor based on functions of type IGenFunction. More...  
ChebyshevApprox (GSLFuncPointer f, void *p, double a, double b, size_t n)  
Construct a Chebyshev series approximation to a Function f in range [a,b]; constructor based on free functions with gsl_function type signature. More...  
virtual  ~ChebyshevApprox () 
ChebyshevApprox *  Deriv () 
Compute the derivative of the series and return a pointer to a new Chebyshev series with the derivatives coefficients. More...  
std::pair< double, double >  EvalErr (double x) const 
Evaluate the series at a given point x estimating both the series result and its absolute error. More...  
std::pair< double, double >  EvalErr (double x, size_t n) const 
evaluate the series at a given point x to the given order n, estimating both the series result and its absolute error. More...  
ChebyshevApprox *  Integral () 
Compute the integral of the series and return a pointer to a new Chebyshev series with the integral coefficients. More...  
double  operator() (double x) const 
Evaluate the series at a given point x. More...  
double  operator() (double x, size_t n) const 
Evaluate the series at a given point, to (at most) the given order n. More...  
Protected Member Functions  
void  Initialize (GSLFuncPointer f, void *params, double a, double b) 
Initialize series passing function and range. More...  
Private Member Functions  
ChebyshevApprox (size_t n)  
construct a Chebyshev series or order n The series must be initialized from a function More...  
ChebyshevApprox (const ChebyshevApprox &)  
ChebyshevApprox &  operator= (const ChebyshevApprox &) 
Private Attributes  
GSLFunctionWrapper *  fFunction 
size_t  fOrder 
GSLChebSeries *  fSeries 
#include <Math/ChebyshevApprox.h>
ROOT::Math::ChebyshevApprox::ChebyshevApprox  (  const ROOT::Math::IGenFunction &  f, 
double  a,  
double  b,  
size_t  n  
) 
Construct a Chebyshev series approximation to a Function f in range [a,b]; constructor based on functions of type IGenFunction.
Definition at line 49 of file ChebyshevApprox.cxx.
ROOT::Math::ChebyshevApprox::ChebyshevApprox  (  GSLFuncPointer  f, 
void *  p,  
double  a,  
double  b,  
size_t  n  
) 
Construct a Chebyshev series approximation to a Function f in range [a,b]; constructor based on free functions with gsl_function type signature.
Definition at line 60 of file ChebyshevApprox.cxx.

virtual 
Definition at line 68 of file ChebyshevApprox.cxx.

private 
construct a Chebyshev series or order n The series must be initialized from a function
Definition at line 75 of file ChebyshevApprox.cxx.

private 
Definition at line 82 of file ChebyshevApprox.cxx.
ChebyshevApprox * ROOT::Math::ChebyshevApprox::Deriv  (  ) 
Compute the derivative of the series and return a pointer to a new Chebyshev series with the derivatives coefficients.
The returned pointer must be managed by the user.
Definition at line 135 of file ChebyshevApprox.cxx.
std::pair< double, double > ROOT::Math::ChebyshevApprox::EvalErr  (  double  x  )  const 
Evaluate the series at a given point x estimating both the series result and its absolute error.
The error estimate is made from the first neglected term in the series. A pair containing result and error is returned
Definition at line 114 of file ChebyshevApprox.cxx.
std::pair< double, double > ROOT::Math::ChebyshevApprox::EvalErr  (  double  x, 
size_t  n  
)  const 
evaluate the series at a given point x to the given order n, estimating both the series result and its absolute error.
The error estimate is made from the first neglected term in the series. A pair containing result and error is returned
Definition at line 126 of file ChebyshevApprox.cxx.

protected 
Initialize series passing function and range.
Definition at line 95 of file ChebyshevApprox.cxx.
ChebyshevApprox * ROOT::Math::ChebyshevApprox::Integral  (  ) 
Compute the integral of the series and return a pointer to a new Chebyshev series with the integral coefficients.
The lower limit of the integration is the left range value a. The returned pointer must be managed by the user
Definition at line 148 of file ChebyshevApprox.cxx.
double ROOT::Math::ChebyshevApprox::operator()  (  double  x  )  const 
Evaluate the series at a given point x.
Definition at line 109 of file ChebyshevApprox.cxx.
double ROOT::Math::ChebyshevApprox::operator()  (  double  x, 
size_t  n  
)  const 
Evaluate the series at a given point, to (at most) the given order n.
Definition at line 121 of file ChebyshevApprox.cxx.

private 
Definition at line 87 of file ChebyshevApprox.cxx.

private 
Definition at line 163 of file ChebyshevApprox.h.

private 
Definition at line 160 of file ChebyshevApprox.h.

private 
Definition at line 162 of file ChebyshevApprox.h.