// Created on: 1993-09-13 // Created by: Jacques GOUSSARD // Copyright (c) 1993-1999 Matra Datavision // Copyright (c) 1999-2014 OPEN CASCADE SAS // // This file is part of Open CASCADE Technology software library. // // This library is free software; you can redistribute it and/or modify it under // the terms of the GNU Lesser General Public License version 2.1 as published // by the Free Software Foundation, with special exception defined in the file // OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT // distribution for complete text of the license and disclaimer of any warranty. // // Alternatively, this file may be used under the terms of Open CASCADE // commercial license or contractual agreement. #ifndef _Blend_CSFunction_HeaderFile #define _Blend_CSFunction_HeaderFile #include "Standard.hxx" #include "Standard_DefineAlloc.hxx" #include "Standard_Handle.hxx" #include "Blend_AppFunction.hxx" #include "Standard_Boolean.hxx" #include "math_Vector.hxx" #include "NCollection_Array1.hxx" #include "Standard_Integer.hxx" #include "gp_Pnt.hxx" #include "gp_Vec.hxx" #include "gp_Pnt2d.hxx" #include "gp_Vec2d.hxx" class math_Matrix; class gp_Pnt; class gp_Pnt2d; class gp_Vec; class gp_Vec2d; class Blend_Point; //! Deferred class for a function used to compute a blending //! surface between a surface and a curve, using a guide line. //! The vector used in Value, Values and Derivatives methods //! may be the vector of the parametric coordinates U,V, //! W of the extremities of a section on the surface and //! the curve. class Blend_CSFunction : public Blend_AppFunction { public: DEFINE_STANDARD_ALLOC //! Returns 3 (default value). Can be redefined. Standard_EXPORT int NbVariables() const override; //! returns the number of equations of the function. Standard_EXPORT int NbEquations() const override = 0; //! computes the values of the Functions for the //! variable . //! Returns True if the computation was done successfully, //! False otherwise. Standard_EXPORT bool Value(const math_Vector& X, math_Vector& F) override = 0; //! returns the values of the derivatives for the //! variable . //! Returns True if the computation was done successfully, //! False otherwise. Standard_EXPORT bool Derivatives(const math_Vector& X, math_Matrix& D) override = 0; //! returns the values of the functions and the derivatives //! for the variable . //! Returns True if the computation was done successfully, //! False otherwise. Standard_EXPORT bool Values(const math_Vector& X, math_Vector& F, math_Matrix& D) override = 0; //! Sets the value of the parameter along the guide line. //! This determines the plane in which the solution has //! to be found. Standard_EXPORT void Set(const double Param) override = 0; //! Sets the bounds of the parametric interval on //! the guide line. //! This determines the derivatives in these values if the //! function is not Cn. Standard_EXPORT void Set(const double First, const double Last) override = 0; //! Returns in the vector Tolerance the parametric tolerance //! for each of the 3 variables; //! Tol is the tolerance used in 3d space. Standard_EXPORT void GetTolerance(math_Vector& Tolerance, const double Tol) const override = 0; //! Returns in the vector InfBound the lowest values allowed //! for each of the 3 variables. //! Returns in the vector SupBound the greatest values allowed //! for each of the 3 variables. Standard_EXPORT void GetBounds(math_Vector& InfBound, math_Vector& SupBound) const override = 0; //! Returns true if Sol is a zero of the function. //! Tol is the tolerance used in 3d space. //! The computation is made at the current value of //! the parameter on the guide line. Standard_EXPORT bool IsSolution(const math_Vector& Sol, const double Tol) override = 0; //! Returns the minimal Distance between two //! extremities of calculated sections. Standard_EXPORT double GetMinimalDistance() const override; //! Returns the point on the first support. Standard_EXPORT const gp_Pnt& Pnt1() const override; //! Returns the point on the second support. Standard_EXPORT const gp_Pnt& Pnt2() const override; //! Returns the point on the surface. Standard_EXPORT virtual const gp_Pnt& PointOnS() const = 0; //! Returns the point on the curve. Standard_EXPORT virtual const gp_Pnt& PointOnC() const = 0; //! Returns U,V coordinates of the point on the surface. Standard_EXPORT virtual const gp_Pnt2d& Pnt2d() const = 0; //! Returns parameter of the point on the curve. Standard_EXPORT virtual double ParameterOnC() const = 0; //! Returns True when it is not possible to compute //! the tangent vectors at PointOnS and/or PointOnC. Standard_EXPORT virtual bool IsTangencyPoint() const = 0; //! Returns the tangent vector at PointOnS, in 3d space. Standard_EXPORT virtual const gp_Vec& TangentOnS() const = 0; //! Returns the tangent vector at PointOnS, in the //! parametric space of the first surface. Standard_EXPORT virtual const gp_Vec2d& Tangent2d() const = 0; //! Returns the tangent vector at PointOnC, in 3d space. Standard_EXPORT virtual const gp_Vec& TangentOnC() const = 0; //! Returns the tangent vector at the section, //! at the beginning and the end of the section, and //! returns the normal (of the surfaces) at //! these points. Standard_EXPORT virtual void Tangent(const double U, const double V, gp_Vec& TgS, gp_Vec& NormS) const = 0; Standard_EXPORT void GetShape(int& NbPoles, int& NbKnots, int& Degree, int& NbPoles2d) override = 0; //! Returns the tolerance to reach in approximation //! to respect //! BoundTol error at the Boundary //! AngleTol tangent error at the Boundary //! SurfTol error inside the surface. Standard_EXPORT void GetTolerance(const double BoundTol, const double SurfTol, const double AngleTol, math_Vector& Tol3d, math_Vector& Tol1D) const override = 0; Standard_EXPORT void Knots(NCollection_Array1& TKnots) override = 0; Standard_EXPORT void Mults(NCollection_Array1& TMults) override = 0; //! Used for the first and last section //! The method returns true if the derivatives //! are computed, otherwise it returns false. Standard_EXPORT bool Section(const Blend_Point& P, NCollection_Array1& Poles, NCollection_Array1& DPoles, NCollection_Array1& Poles2d, NCollection_Array1& DPoles2d, NCollection_Array1& Weigths, NCollection_Array1& DWeigths) override = 0; Standard_EXPORT void Section(const Blend_Point& P, NCollection_Array1& Poles, NCollection_Array1& Poles2d, NCollection_Array1& Weigths) override = 0; //! Used for the first and last section //! The method returns true if the derivatives //! are computed, otherwise it returns false. Standard_EXPORT bool Section(const Blend_Point& P, NCollection_Array1& Poles, NCollection_Array1& DPoles, NCollection_Array1& D2Poles, NCollection_Array1& Poles2d, NCollection_Array1& DPoles2d, NCollection_Array1& D2Poles2d, NCollection_Array1& Weigths, NCollection_Array1& DWeigths, NCollection_Array1& D2Weigths) override; }; #endif // _Blend_CSFunction_HeaderFile