Open CASCADE Technology  6.5.4
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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
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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.


Constructor & Destructor Documentation


Member Function Documentation

Reimplemented from math_FunctionSet.


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