This class implements the Brent's method to find the minimum of a function of a single variable. No knowledge of the derivative is required. More...

#include <math_BrentMinimum.hxx>

Public Member Functions
	math_BrentMinimum (const Standard_Real TolX, const Standard_Integer NbIterations=100, const Standard_Real ZEPS=1.0e-12)
	This constructor should be used in a sub-class to initialize correctly all the fields of this class. More...

	math_BrentMinimum (const Standard_Real TolX, const Standard_Real Fbx, const Standard_Integer NbIterations=100, const Standard_Real ZEPS=1.0e-12)
	This constructor should be used in a sub-class to initialize correctly all the fields of this class. It has to be used if F(Bx) is known. More...

virtual	~math_BrentMinimum ()
	Destructor. More...

void	Perform (math_Function &F, const Standard_Real Ax, const Standard_Real Bx, const Standard_Real Cx)
	Brent minimization is performed on function F from a given bracketing triplet of abscissas Ax, Bx, Cx (such that Bx is between Ax and Cx, F(Bx) is less than both F(Bx) and F(Cx)) The solution is found when: abs(Xi - Xi-1) <= TolX * abs(Xi) + ZEPS;. More...

virtual Standard_Boolean	IsSolutionReached (math_Function &theFunction)
	This method is called at the end of each iteration to check if the solution is found. It can be redefined in a sub-class to implement a specific test to stop the iterations. More...

Standard_Boolean	IsDone () const
	Returns true if the computations are successful, otherwise returns false. More...

Standard_Real	Location () const
	returns the location value of the minimum. Exception NotDone is raised if the minimum was not found. More...

Standard_Real	Minimum () const
	returns the value of the minimum. Exception NotDone is raised if the minimum was not found. More...

Standard_Integer	NbIterations () const
	returns the number of iterations really done during the computation of the minimum. Exception NotDone is raised if the minimum was not found. More...

void	Dump (Standard_OStream &o) const
	Prints on the stream o information on the current state of the object. Is used to redefine the operator <<. More...

Protected Attributes
Standard_Real	a

Standard_Real	b

Standard_Real	x

Standard_Real	fx

Standard_Real	fv

Standard_Real	fw

Standard_Real	XTol

Standard_Real	EPSZ

Detailed Description

This class implements the Brent's method to find the minimum of a function of a single variable. No knowledge of the derivative is required.

Constructor & Destructor Documentation

◆ math_BrentMinimum() [1/2]

math_BrentMinimum::math_BrentMinimum	(	const Standard_Real	TolX,
		const Standard_Integer	NbIterations = `100`,
		const Standard_Real	ZEPS = `1.0e-12`
	)

This constructor should be used in a sub-class to initialize correctly all the fields of this class.

◆ math_BrentMinimum() [2/2]

math_BrentMinimum::math_BrentMinimum	(	const Standard_Real	TolX,
		const Standard_Real	Fbx,
		const Standard_Integer	NbIterations = `100`,
		const Standard_Real	ZEPS = `1.0e-12`
	)

This constructor should be used in a sub-class to initialize correctly all the fields of this class. It has to be used if F(Bx) is known.

◆ ~math_BrentMinimum()

virtual math_BrentMinimum::~math_BrentMinimum ( )

virtual

Destructor.

Member Function Documentation

◆ Dump()

void math_BrentMinimum::Dump ( Standard_OStream & o ) const

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

◆ IsDone()

Standard_Boolean math_BrentMinimum::IsDone ( ) const

Returns true if the computations are successful, otherwise returns false.

◆ IsSolutionReached()

virtual Standard_Boolean math_BrentMinimum::IsSolutionReached ( math_Function & theFunction )

virtual

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

◆ Location()

Standard_Real math_BrentMinimum::Location ( ) const

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

◆ Minimum()

Standard_Real math_BrentMinimum::Minimum ( ) const

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

◆ NbIterations()

Standard_Integer math_BrentMinimum::NbIterations ( ) const

returns the number of iterations really done during the computation of the minimum. Exception NotDone is raised if the minimum was not found.

◆ Perform()

void math_BrentMinimum::Perform	(	math_Function &	F,
		const Standard_Real	Ax,
		const Standard_Real	Bx,
		const Standard_Real	Cx
	)

Brent minimization is performed on function F from a given bracketing triplet of abscissas Ax, Bx, Cx (such that Bx is between Ax and Cx, F(Bx) is less than both F(Bx) and F(Cx)) The solution is found when: abs(Xi - Xi-1) <= TolX * abs(Xi) + ZEPS;.