Extrema_FuncPSNorm 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_FuncPSNorm.hxx>

Inheritance diagram for Extrema_FuncPSNorm:

Public Member Functions
	Extrema_FuncPSNorm ()
	Extrema_FuncPSNorm (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.
int	NbVariables () const override
	Returns the number of variables of the function.
int	NbEquations () const override
	Returns the number of equations of the function.
bool	Value (const math_Vector &UV, math_Vector &F) override
	Calculate Fi(U,V).
bool	Derivatives (const math_Vector &UV, math_Matrix &DF) override
	Calculate Fi'(U,V).
bool	Values (const math_Vector &UV, math_Vector &F, math_Matrix &DF) override
	Calculate Fi(U,V) and Fi'(U,V).
int	GetStateNumber () override
	Save the found extremum.
int	NbExt () const
	Return the number of found extrema.
double	SquareDistance (const int N) const
	Return the value of the Nth distance.
const Extrema_POnSurf &	Point (const int N) const
	Returns the Nth extremum.
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_FuncPSNorm() [1/2]

Extrema_FuncPSNorm::Extrema_FuncPSNorm

(

)

Extrema_FuncPSNorm() [2/2]

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

Member Function Documentation

Derivatives()

bool Extrema_FuncPSNorm::Derivatives ( const math_Vector & UV, math_Matrix & DF )

overridevirtual

Calculate Fi'(U,V).

Implements math_FunctionSetWithDerivatives.

GetStateNumber()

int Extrema_FuncPSNorm::GetStateNumber ( )

overridevirtual

Save the found extremum.

Reimplemented from math_FunctionSet.

Initialize()

void Extrema_FuncPSNorm::Initialize

(

const Adaptor3d_Surface &

S

)

sets the field mysurf of the function.

NbEquations()

int Extrema_FuncPSNorm::NbEquations ( ) const

overridevirtual

Returns the number of equations of the function.

Implements math_FunctionSetWithDerivatives.

NbExt()

int Extrema_FuncPSNorm::NbExt

(

)

const

Return the number of found extrema.

NbVariables()

int Extrema_FuncPSNorm::NbVariables ( ) const

overridevirtual

Returns the number of variables of the function.

Implements math_FunctionSetWithDerivatives.

Point()

const Extrema_POnSurf & Extrema_FuncPSNorm::Point

(

const int

N

)

const

Returns the Nth extremum.

SetPoint()

void Extrema_FuncPSNorm::SetPoint

(

const gp_Pnt &

P

)

sets the field mysurf of the function.

SquareDistance()

double Extrema_FuncPSNorm::SquareDistance

(

const int

N

)

const

Return the value of the Nth distance.

Value()

bool Extrema_FuncPSNorm::Value ( const math_Vector & UV, math_Vector & F )

overridevirtual

Calculate Fi(U,V).

Implements math_FunctionSetWithDerivatives.

Values()

bool Extrema_FuncPSNorm::Values ( const math_Vector & UV, math_Vector & F, math_Matrix & DF )

overridevirtual

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_FuncPSNorm.hxx