math_BissecNewton Class Reference

This class implements a combination of Newton-Raphson and bissection methods to find the root of the function between two bounds. Knowledge of the derivative is required. More...

#include <math_BissecNewton.hxx>

Public Member Functions
	math_BissecNewton (const Standard_Real theXTolerance)
	Constructor.
void	Perform (math_FunctionWithDerivative &F, const Standard_Real Bound1, const Standard_Real Bound2, const Standard_Integer NbIterations=100)
	A combination of Newton-Raphson and bissection methods is done to find the root of the function F between the bounds Bound1 and Bound2 on the function F. The tolerance required on the root is given by TolX. The solution is found when: abs(Xi - Xi-1) <= TolX and F(Xi) * F(Xi-1) <= 0 The maximum number of iterations allowed is given by NbIterations.
virtual Standard_Boolean	IsSolutionReached (math_FunctionWithDerivative &theFunction)
	This method is called at the end of each iteration to check if the solution has been found. It can be redefined in a sub-class to implement a specific test to stop the iterations.
Standard_Boolean	IsDone () const
	Tests is the root has been successfully found.
Standard_Real	Root () const
	returns the value of the root. Exception NotDone is raised if the minimum was not found.
Standard_Real	Derivative () const
	returns the value of the derivative at the root. Exception NotDone is raised if the minimum was not found.
Standard_Real	Value () const
	returns the value of the function at the root. Exception NotDone is raised if the minimum was not found.
void	Dump (Standard_OStream &o) const
	Prints on the stream o information on the current state of the object. Is used to redifine the operator <<.
virtual	~math_BissecNewton ()
	Destructor.

Protected Attributes
math_Status	TheStatus
Standard_Real	XTol
Standard_Real	x
Standard_Real	dx
Standard_Real	f
Standard_Real	df

Detailed Description

This class implements a combination of Newton-Raphson and bissection methods to find the root of the function between two bounds. Knowledge of the derivative is required.

Constructor & Destructor Documentation

math_BissecNewton()

math_BissecNewton::math_BissecNewton

(

const Standard_Real

theXTolerance

)

Constructor.

Parameters

theXTolerance

- algorithm tolerance.

~math_BissecNewton()

virtual math_BissecNewton::~math_BissecNewton ( )

virtual

Destructor.

Member Function Documentation

Derivative()

Standard_Real math_BissecNewton::Derivative

(

)

const

returns the value of the derivative at the root. Exception NotDone is raised if the minimum was not found.

Dump()

void math_BissecNewton::Dump

(

Standard_OStream &

o

)

const

Prints on the stream o information on the current state of the object. Is used to redifine the operator <<.

IsDone()

Standard_Boolean math_BissecNewton::IsDone

(

)

const

Tests is the root has been successfully found.

IsSolutionReached()

virtual Standard_Boolean math_BissecNewton::IsSolutionReached ( math_FunctionWithDerivative & theFunction )

virtual

This method is called at the end of each iteration to check if the solution has been found. It can be redefined in a sub-class to implement a specific test to stop the iterations.

Perform()

void math_BissecNewton::Perform	(	math_FunctionWithDerivative &	F,
		const Standard_Real	Bound1,
		const Standard_Real	Bound2,
		const Standard_Integer	NbIterations = 100 )

A combination of Newton-Raphson and bissection methods is done to find the root of the function F between the bounds Bound1 and Bound2 on the function F. The tolerance required on the root is given by TolX. The solution is found when: abs(Xi - Xi-1) <= TolX and F(Xi) * F(Xi-1) <= 0 The maximum number of iterations allowed is given by NbIterations.

Root()

Standard_Real math_BissecNewton::Root

(

)

const

returns the value of the root. Exception NotDone is raised if the minimum was not found.

Value()

Standard_Real math_BissecNewton::Value

(

)

const

returns the value of the function at the root. Exception NotDone is raised if the minimum was not found.

Field Documentation

df

Standard_Real math_BissecNewton::df

protected

dx

Standard_Real math_BissecNewton::dx

protected

f

Standard_Real math_BissecNewton::f

protected

TheStatus

math_Status math_BissecNewton::TheStatus

protected

x

Standard_Real math_BissecNewton::x

protected

XTol

Standard_Real math_BissecNewton::XTol

protected

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

• math_BissecNewton.hxx