CompactificationR< Functor, FType > Class Template Reference

Compactification of a function from [a,+∞) to [-1,1). More...

#include <compact.h>

Inheritance diagram for CompactificationR< Functor, FType >:

Collaboration diagram for CompactificationR< Functor, FType >:

Public Member Functions
	CompactificationR (Functor f, double a=0., bool limit=true, double L=1.0)
double	scale (double x) const
	Scale value from the original interval [a,b] into compactified interval [-1,1]. More...
double	unscale (double t) const
	Unscale value from the compactified interval [-1,1] into the original interval [a,b]. More...
double	Jacobian (double t) const
	Evaluate Jacobian of the transformation. More...
FType	operator() (double t) const
Public Member Functions inherited from ICompactification< FType >
virtual	~ICompactification ()

Detailed Description

template<class Functor, typename FType>
class CompactificationR< Functor, FType >

Transform arbitrary function so that its definition range will be \( t \in [-1,1] \), for original interval \( x \in [a,b] \). The following formulas are used:

\[ x = a + L \frac{1+t}{1-t} \Leftrightarrow t = \frac{x - a - L}{x - a - L} \ . \]

• Compactification of a double-unbounded interval is not implemented yet.

Constructor & Destructor Documentation

template<class Functor , typename FType >

CompactificationR< Functor, FType >::CompactificationR ( Functor  f, double  a = 0., bool  limit = true, double  L = 1.0  )

inline

Constructor of the class The parameter "a" specifies original definition interval \( [a,+\infty) \).

Member Function Documentation

template<class Functor , typename FType >

double CompactificationR< Functor, FType >::Jacobian ( double  t ) const

inlinevirtual

Implements ICompactification< FType >.

template<class Functor , typename FType >

FType CompactificationR< Functor, FType >::operator() ( double  t ) const

inlinevirtual

Evaluate the compactified function.

Parameters

t	Value from the compactified interval [-1,1].

Implements ICompactification< FType >.

template<class Functor , typename FType >

double CompactificationR< Functor, FType >::scale ( double  x ) const

inlinevirtual

Implements ICompactification< FType >.

template<class Functor , typename FType >

double CompactificationR< Functor, FType >::unscale ( double  t ) const

inlinevirtual

Implements ICompactification< FType >.

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

• src/compact.h