Extrema_FuncExtPS Class Reference

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.

#include <Extrema_FuncExtPS.hxx>

Inheritance diagram for Extrema_FuncExtPS:

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

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Constructor & Destructor Documentation

DEFINE_STANDARD_ALLOC Extrema_FuncExtPS::Extrema_FuncExtPS

(

)

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

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Member Function Documentation

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

Implements math_FunctionSetWithDerivatives.

virtual Standard_Integer Extrema_FuncExtPS::GetStateNumber

(

)

[virtual]

Reimplemented from math_FunctionSet.

void Extrema_FuncExtPS::Initialize

(

const Adaptor3d_Surface &

S

)

Standard_Integer Extrema_FuncExtPS::NbEquations

(

)

const [virtual]

Implements math_FunctionSetWithDerivatives.

Standard_Integer Extrema_FuncExtPS::NbExt

(

)

const

Standard_Integer Extrema_FuncExtPS::NbVariables

(

)

const [virtual]

Implements math_FunctionSetWithDerivatives.

Extrema_POnSurf Extrema_FuncExtPS::Point

(

const Standard_Integer

N

)

const

void Extrema_FuncExtPS::SetPoint

(

const gp_Pnt &

P

)

Standard_Real Extrema_FuncExtPS::SquareDistance

(

const Standard_Integer

N

)

const

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

Implements math_FunctionSetWithDerivatives.

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

Implements math_FunctionSetWithDerivatives.

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

• Extrema_FuncExtPS.hxx