Function Class Reference

Defines the function \( f: \lambda \mapsto \lambda \). More...

#include <functions.h>

Inheritance diagram for Function:

Public Member Functions
virtual	~Function ()
	Default virtual destructor. More...
virtual float	function (const float lambda_) const =0
virtual double	function (const double lambda_) const =0
virtual long double	function (const long double lambda_) const =0

Detailed Description

Defines the function \( f: \lambda \mapsto \lambda \).

The matrix function \( f: \mathbb{R}^{n \times n} \to \mathbb{R}^{n \times n} \) is used in

\[ \mathrm{trace} \left( f(\mathbf{A}) \right). \]

However, instead of a matrix function, the equivalent scalar function \( f: \mathbb{R} \to \mathbb{R} \) is defiend which acts on the eigenvalues of the matrix.

Note

This class is a base class for other classes and serves as an interface. To create a new matrix function, derive a class from Function class and implement the function method.

Definition at line 37 of file functions.h.

Constructor & Destructor Documentation

~Function()

Function::~Function ( )

virtual

Default virtual destructor.

Definition at line 26 of file functions.cpp.

{
}

Member Function Documentation

function() [1/3]

virtual double Function::function ( const double  lambda_ ) const

pure virtual

Implemented in SmoothStep, Power, Logarithm, Inverse, Indicator, Identity, Homographic, Gaussian, and Exponential.

function() [2/3]

virtual float Function::function ( const float  lambda_ ) const

pure virtual

Implemented in SmoothStep, Power, Logarithm, Inverse, Indicator, Identity, Homographic, Gaussian, and Exponential.

function() [3/3]

virtual long double Function::function ( const long double  lambda_ ) const

pure virtual

Implemented in SmoothStep, Power, Logarithm, Inverse, Indicator, Identity, Homographic, Gaussian, and Exponential.

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

• /home/runner/work/imate/imate/imate/functions/functions.h
• /home/runner/work/imate/imate/imate/functions/functions.cpp