// 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_AppFunction_HeaderFile #define _Blend_AppFunction_HeaderFile #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include class math_Matrix; class gp_Pnt; class Blend_Point; //! Deferred class for a function used to compute a blending //! surface between two surfaces, using a guide line. //! The vector used in Value, Values and Derivatives methods //! has to be the vector of the parametric coordinates U1,V1, //! U2,V2, of the extremities of a section on the first and //! second surface. class Blend_AppFunction : public math_FunctionSetWithDerivatives { public: DEFINE_STANDARD_ALLOC //! returns the number of variables of the function. Standard_EXPORT virtual Standard_Integer NbVariables() const = 0; //! returns the number of equations of the function. Standard_EXPORT virtual Standard_Integer NbEquations() const = 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) = 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) = 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) = 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) = 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) = 0; //! Returns in the vector Tolerance the parametric tolerance //! for each of the 4 variables; //! Tol is the tolerance used in 3d space. Standard_EXPORT virtual void GetTolerance (math_Vector& Tolerance, const Standard_Real Tol) const = 0; //! Returns in the vector InfBound the lowest values allowed //! for each of the 4 variables. //! Returns in the vector SupBound the greatest values allowed //! for each of the 4 variables. Standard_EXPORT virtual void GetBounds (math_Vector& InfBound, math_Vector& SupBound) const = 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) = 0; //! Returns the minimal Distance between two //! extremities of calculated sections. Standard_EXPORT virtual Standard_Real GetMinimalDistance() const = 0; //! Returns the point on the first support. Standard_EXPORT virtual const gp_Pnt& Pnt1() const = 0; //! Returns the point on the first support. Standard_EXPORT virtual const gp_Pnt& Pnt2() const = 0; //! Returns if the section is rationnal Standard_EXPORT virtual Standard_Boolean IsRational() const = 0; //! Returns the length of the maximum section Standard_EXPORT virtual Standard_Real GetSectionSize() const = 0; //! Compute the minimal value of weight for each poles //! of all sections. Standard_EXPORT virtual void GetMinimalWeight (TColStd_Array1OfReal& Weigths) const = 0; //! Returns the number of intervals for continuity //! . May be one if Continuity(me) >= Standard_EXPORT virtual Standard_Integer NbIntervals (const GeomAbs_Shape S) const = 0; //! Stores in the parameters bounding the intervals //! of continuity . //! //! The array must provide enough room to accommodate //! for the parameters. i.e. T.Length() > NbIntervals() //! raises //! OutOfRange from Standard Standard_EXPORT virtual void Intervals (TColStd_Array1OfReal& T, const GeomAbs_Shape S) const = 0; Standard_EXPORT virtual void GetShape (Standard_Integer& NbPoles, Standard_Integer& NbKnots, Standard_Integer& Degree, Standard_Integer& NbPoles2d) = 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 = 0; Standard_EXPORT virtual void Knots (TColStd_Array1OfReal& TKnots) = 0; Standard_EXPORT virtual void Mults (TColStd_Array1OfInteger& TMults) = 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) = 0; Standard_EXPORT virtual void Section (const Blend_Point& P, TColgp_Array1OfPnt& Poles, TColgp_Array1OfPnt2d& Poles2d, TColStd_Array1OfReal& Weigths) = 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) = 0; Standard_EXPORT virtual void Resolution (const Standard_Integer IC2d, const Standard_Real Tol, Standard_Real& TolU, Standard_Real& TolV) const = 0; //! Returns the parameter of the point P. Used to //! impose the parameters in the approximation. Standard_EXPORT Standard_Real Parameter (const Blend_Point& P) const; protected: private: }; #endif // _Blend_AppFunction_HeaderFile