Open CASCADE Technology 6.6.0
Public Member Functions
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:
Inheritance graph
[legend]

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.

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.


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

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