Abstract base class for defining mathematical functions used in the minimization algorithm. More...

#include <Utils_Trichotomy.hh>

Public Member Functions
virtual Real	eval (Real x) const =0

Real	operator() (Real x) const

Detailed Description

template<typename Real>
class Utils::Trichotomy_base_fun< Real >

Abstract base class for defining mathematical functions used in the minimization algorithm.

This class serves as a base interface for user-defined functions that can be evaluated. It allows for the implementation the numerical method to find the minimum of the one dimensional equation \( f(x) \). Users must inherit from this class and implement the virtual method to define their specific functions.

Template Parameter:

Real: A numeric type representing the data type of the function's input and output, such as float, double, etc.

Usage Example: To create a custom function, derive from this class and implement the required methods. Here is an example for the function \( f(x) = x^2 - 2 \):

class Fun1 : public Trichotomy_base_fun<double> {
public:
    double eval(double x) const override { return x*x - 2; }
};

Member Function Documentation

◆ eval()

template<typename Real>

virtual Real Utils::Trichotomy_base_fun< Real >::eval ( Real x ) const

pure virtual

Evaluate the function \( f(x) \)

Parameters

[in] x the point to evaluate \( f(x) \)

Returns: the value of \( f(x) \)

◆ operator()()

template<typename Real>

Real Utils::Trichotomy_base_fun< Real >::operator() ( Real x ) const

inline