Extrema_FuncExtPS.hxx File Reference

#include <Standard.hxx>
#include <Standard_DefineAlloc.hxx>
#include <Standard_Macro.hxx>
#include <gp_Pnt.hxx>
#include <Adaptor3d_SurfacePtr.hxx>
#include <Standard_Real.hxx>
#include <TColStd_SequenceOfReal.hxx>
#include <Extrema_SequenceOfPOnSurf.hxx>
#include <Standard_Boolean.hxx>
#include <math_FunctionSetWithDerivatives.hxx>
#include <Standard_Integer.hxx>

Data Structures
class	Extrema_FuncExtPS
	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. More...