// 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 #include #include #include #include #include #include #include #include #include #include #include #include #include class Standard_DomainError; 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 virtual Standard_Integer NbVariables() const Standard_OVERRIDE; //! returns the number of equations of the function. Standard_EXPORT virtual Standard_Integer NbEquations() const Standard_OVERRIDE = 0; //! computes the values of the Functions for the //! variable . //! Returns True if the computation was done successfully, //! False otherwise. Standard_EXPORT virtual Standard_Boolean Value (const math_Vector& X, math_Vector& F) Standard_OVERRIDE = 0; //! returns the values of the derivatives for the //! variable . //! Returns True if the computation was done successfully, //! False otherwise. Standard_EXPORT virtual Standard_Boolean Derivatives (const math_Vector& X, math_Matrix& D) Standard_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 virtual Standard_Boolean Values (const math_Vector& X, math_Vector& F, math_Matrix& D) Standard_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 virtual void Set (const Standard_Real Param) Standard_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 virtual void Set (const Standard_Real First, const Standard_Real Last) Standard_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 virtual void GetTolerance (math_Vector& Tolerance, const Standard_Real Tol) const Standard_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 virtual void GetBounds (math_Vector& InfBound, math_Vector& SupBound) const Standard_OVERRIDE = 0; //! Returns Standard_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 virtual Standard_Boolean IsSolution (const math_Vector& Sol, const Standard_Real Tol) Standard_OVERRIDE = 0; //! Returns the minimal Distance beetween two //! extremitys of calculed sections. Standard_EXPORT virtual Standard_Real GetMinimalDistance() const Standard_OVERRIDE; //! Returns the point on the first support. Standard_EXPORT const gp_Pnt& Pnt1() const Standard_OVERRIDE; //! Returns the point on the seconde support. Standard_EXPORT const gp_Pnt& Pnt2() const Standard_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 Standard_Real ParameterOnC() const = 0; //! Returns True when it is not possible to compute //! the tangent vectors at PointOnS and/or PointOnC. Standard_EXPORT virtual Standard_Boolean 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 Standard_Real U, const Standard_Real V, gp_Vec& TgS, gp_Vec& NormS) const = 0; Standard_EXPORT virtual void GetShape (Standard_Integer& NbPoles, Standard_Integer& NbKnots, Standard_Integer& Degree, Standard_Integer& NbPoles2d) Standard_OVERRIDE = 0; //! Returns the tolerance to reach in approximation //! to respecte //! BoundTol error at the Boundary //! AngleTol tangent error at the Boundary //! SurfTol error inside the surface. Standard_EXPORT virtual void GetTolerance (const Standard_Real BoundTol, const Standard_Real SurfTol, const Standard_Real AngleTol, math_Vector& Tol3d, math_Vector& Tol1D) const Standard_OVERRIDE = 0; Standard_EXPORT virtual void Knots (TColStd_Array1OfReal& TKnots) Standard_OVERRIDE = 0; Standard_EXPORT virtual void Mults (TColStd_Array1OfInteger& TMults) Standard_OVERRIDE = 0; //! Used for the first and last section //! The method returns Standard_True if the derivatives //! are computed, otherwise it returns Standard_False. Standard_EXPORT virtual Standard_Boolean Section (const Blend_Point& P, TColgp_Array1OfPnt& Poles, TColgp_Array1OfVec& DPoles, TColgp_Array1OfPnt2d& Poles2d, TColgp_Array1OfVec2d& DPoles2d, TColStd_Array1OfReal& Weigths, TColStd_Array1OfReal& DWeigths) Standard_OVERRIDE = 0; Standard_EXPORT virtual void Section (const Blend_Point& P, TColgp_Array1OfPnt& Poles, TColgp_Array1OfPnt2d& Poles2d, TColStd_Array1OfReal& Weigths) Standard_OVERRIDE = 0; //! Used for the first and last section //! The method returns Standard_True if the derivatives //! are computed, otherwise it returns Standard_False. Standard_EXPORT virtual Standard_Boolean Section (const Blend_Point& P, TColgp_Array1OfPnt& Poles, TColgp_Array1OfVec& DPoles, TColgp_Array1OfVec& D2Poles, TColgp_Array1OfPnt2d& Poles2d, TColgp_Array1OfVec2d& DPoles2d, TColgp_Array1OfVec2d& D2Poles2d, TColStd_Array1OfReal& Weigths, TColStd_Array1OfReal& DWeigths, TColStd_Array1OfReal& D2Weigths) Standard_OVERRIDE; protected: private: }; #endif // _Blend_CSFunction_HeaderFile