Extrema_FuncExtPS Class Reference

Functional for search of extremum of the distance between point P and surface S, starting from approximate solution (u0, v0). More...

#include <Extrema_FuncExtPS.hxx>

Inheritance diagram for Extrema_FuncExtPS:

Public Member Functions
	Extrema_FuncExtPS ()
	Extrema_FuncExtPS (const gp_Pnt &P, const Adaptor3d_Surface &S)
void	Initialize (const Adaptor3d_Surface &S)
	sets the field mysurf of the function. More...
void	SetPoint (const gp_Pnt &P)
	sets the field mysurf of the function. More...
Standard_Integer	NbVariables () const
	Returns the number of variables of the function. More...
Standard_Integer	NbEquations () const
	Returns the number of equations of the function. More...
Standard_Boolean	Value (const math_Vector &UV, math_Vector &F)
	Calculate Fi(U,V). More...
Standard_Boolean	Derivatives (const math_Vector &UV, math_Matrix &DF)
	Calculate Fi'(U,V). More...
Standard_Boolean	Values (const math_Vector &UV, math_Vector &F, math_Matrix &DF)
	Calculate Fi(U,V) and Fi'(U,V). More...
virtual Standard_Integer	GetStateNumber ()
	Save the found extremum. More...
Standard_Integer	NbExt () const
	Return the number of found extrema. More...
Standard_Real	SquareDistance (const Standard_Integer N) const
	Return the value of the Nth distance. More...
const Extrema_POnSurf &	Point (const Standard_Integer N) const
	Returns the Nth extremum. More...
Public Member Functions inherited from math_FunctionSet
virtual	~math_FunctionSet ()

Detailed Description

Functional for search of extremum of the distance between point P and surface S, starting from approximate solution (u0, v0).

The class inherits math_FunctionSetWithDerivatives and thus is intended for use in math_FunctionSetRoot algorithm .

Denoting derivatives of the surface S(u,v) by u and v, respectively, as Su and Sv, the two functions to be nullified are:

F1(u,v) = (S - P) * Su F2(u,v) = (S - P) * Sv

The derivatives of the functional are:

Duf1(u,v) = Su^2 + (S-P) * Suu; Dvf1(u,v) = Su * Sv + (S-P) * Suv Duf2(u,v) = Sv * Su + (S-P) * Suv = Dvf1 Dvf2(u,v) = Sv^2 + (S-P) * Svv

Here * denotes scalar product, and ^2 is square power.

Constructor & Destructor Documentation

Extrema_FuncExtPS::Extrema_FuncExtPS

(

)

Extrema_FuncExtPS::Extrema_FuncExtPS	(	const gp_Pnt &	P,
		const Adaptor3d_Surface &	S
	)

Member Function Documentation

Standard_Boolean Extrema_FuncExtPS::Derivatives ( const math_Vector &  UV, math_Matrix &  DF  )

virtual

Calculate Fi'(U,V).

Implements math_FunctionSetWithDerivatives.

virtual Standard_Integer Extrema_FuncExtPS::GetStateNumber ( )

virtual

Save the found extremum.

Reimplemented from math_FunctionSet.

void Extrema_FuncExtPS::Initialize

(

const Adaptor3d_Surface &

S

)

sets the field mysurf of the function.

Standard_Integer Extrema_FuncExtPS::NbEquations ( ) const

virtual

Returns the number of equations of the function.

Implements math_FunctionSetWithDerivatives.

Standard_Integer Extrema_FuncExtPS::NbExt

(

)

const

Return the number of found extrema.

Standard_Integer Extrema_FuncExtPS::NbVariables ( ) const

virtual

Returns the number of variables of the function.

Implements math_FunctionSetWithDerivatives.

const Extrema_POnSurf& Extrema_FuncExtPS::Point

(

const Standard_Integer

N

)

const

Returns the Nth extremum.

void Extrema_FuncExtPS::SetPoint

(

const gp_Pnt &

P

)

sets the field mysurf of the function.

Standard_Real Extrema_FuncExtPS::SquareDistance

(

const Standard_Integer

N

)

const

Return the value of the Nth distance.

Standard_Boolean Extrema_FuncExtPS::Value ( const math_Vector &  UV, math_Vector &  F  )

virtual

Calculate Fi(U,V).

Implements math_FunctionSetWithDerivatives.

Standard_Boolean Extrema_FuncExtPS::Values ( const math_Vector &  UV, math_Vector &  F, math_Matrix &  DF  )

virtual

Calculate Fi(U,V) and Fi'(U,V).

Implements math_FunctionSetWithDerivatives.

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

• Extrema_FuncExtPS.hxx