// Created on: 1998-05-12 // Created by: Philippe NOUAILLE // Copyright (c) 1998-1999 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 _BRepBlend_AppFuncRoot_HeaderFile #define _BRepBlend_AppFuncRoot_HeaderFile #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include class BRepBlend_Line; class Blend_AppFunction; class BRepBlend_AppFuncRoot; DEFINE_STANDARD_HANDLE(BRepBlend_AppFuncRoot, Approx_SweepFunction) //! Function to approximate by AppSurface class BRepBlend_AppFuncRoot : public Approx_SweepFunction { public: //! compute the section for v = param Standard_EXPORT virtual Standard_Boolean D0 (const Standard_Real Param, const Standard_Real First, const Standard_Real Last, TColgp_Array1OfPnt& Poles, TColgp_Array1OfPnt2d& Poles2d, TColStd_Array1OfReal& Weigths) Standard_OVERRIDE; //! compute the first derivative in v direction of the //! section for v = param Standard_EXPORT virtual Standard_Boolean D1 (const Standard_Real Param, const Standard_Real First, const Standard_Real Last, TColgp_Array1OfPnt& Poles, TColgp_Array1OfVec& DPoles, TColgp_Array1OfPnt2d& Poles2d, TColgp_Array1OfVec2d& DPoles2d, TColStd_Array1OfReal& Weigths, TColStd_Array1OfReal& DWeigths) Standard_OVERRIDE; //! compute the second derivative in v direction of the //! section for v = param Standard_EXPORT virtual Standard_Boolean D2 (const Standard_Real Param, const Standard_Real First, const Standard_Real Last, 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; //! get the number of 2d curves to approximate. Standard_EXPORT virtual Standard_Integer Nb2dCurves() const Standard_OVERRIDE; //! get the format of an section Standard_EXPORT virtual void SectionShape (Standard_Integer& NbPoles, Standard_Integer& NbKnots, Standard_Integer& Degree) const Standard_OVERRIDE; //! get the Knots of the section Standard_EXPORT virtual void Knots (TColStd_Array1OfReal& TKnots) const Standard_OVERRIDE; //! get the Multplicities of the section Standard_EXPORT virtual void Mults (TColStd_Array1OfInteger& TMults) const Standard_OVERRIDE; //! Returns if the section is rationnal or not Standard_EXPORT virtual Standard_Boolean IsRational() const Standard_OVERRIDE; //! Returns the number of intervals for continuity //! . May be one if Continuity(me) >= Standard_EXPORT virtual Standard_Integer NbIntervals (const GeomAbs_Shape S) const Standard_OVERRIDE; //! 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() Standard_EXPORT virtual void Intervals (TColStd_Array1OfReal& T, const GeomAbs_Shape S) const Standard_OVERRIDE; //! Sets the bounds of the parametric interval on //! the fonction //! This determines the derivatives in these values if the //! function is not Cn. Standard_EXPORT virtual void SetInterval (const Standard_Real First, const Standard_Real Last) Standard_OVERRIDE; //! Returns the resolutions in the sub-space 2d -- //! This information is usfull to find an good tolerance in //! 2d approximation Standard_EXPORT virtual void Resolution (const Standard_Integer Index, const Standard_Real Tol, Standard_Real& TolU, Standard_Real& TolV) const Standard_OVERRIDE; //! Returns the tolerance to reach in approximation //! to respecte //! BoundTol error at the Boundary //! AngleTol tangent error at the Boundary (in radian) //! SurfTol error inside the surface. Standard_EXPORT virtual void GetTolerance (const Standard_Real BoundTol, const Standard_Real SurfTol, const Standard_Real AngleTol, TColStd_Array1OfReal& Tol3d) const Standard_OVERRIDE; //! Is usfull, if (me) have to be run numerical //! algorithme to perform D0, D1 or D2 Standard_EXPORT virtual void SetTolerance (const Standard_Real Tol3d, const Standard_Real Tol2d) Standard_OVERRIDE; //! Get the barycentre of Surface. An very poor //! estimation is sufficient. This information is useful //! to perform well conditioned rational approximation. Standard_EXPORT virtual gp_Pnt BarycentreOfSurf() const Standard_OVERRIDE; //! Returns the length of the maximum section. This //! information is useful to perform well conditioned rational //! approximation. Standard_EXPORT virtual Standard_Real MaximalSection() const Standard_OVERRIDE; //! Compute the minimal value of weight for each poles //! of all sections. This information is useful to //! perform well conditioned rational approximation. Standard_EXPORT virtual void GetMinimalWeight (TColStd_Array1OfReal& Weigths) const Standard_OVERRIDE; Standard_EXPORT virtual void Point (const Blend_AppFunction& Func, const Standard_Real Param, const math_Vector& Sol, Blend_Point& Pnt) const = 0; Standard_EXPORT virtual void Vec (math_Vector& Sol, const Blend_Point& Pnt) const = 0; DEFINE_STANDARD_RTTIEXT(BRepBlend_AppFuncRoot,Approx_SweepFunction) protected: Standard_EXPORT BRepBlend_AppFuncRoot(Handle(BRepBlend_Line)& Line, Blend_AppFunction& Func, const Standard_Real Tol3d, const Standard_Real Tol2d); private: Standard_EXPORT Standard_Boolean SearchPoint (Blend_AppFunction& Func, const Standard_Real Param, Blend_Point& Pnt); Standard_EXPORT Standard_Boolean SearchLocation (const Standard_Real Param, const Standard_Integer FirstIndex, const Standard_Integer LastIndex, Standard_Integer& ParamIndex) const; Handle(BRepBlend_Line) myLine; Standard_Address myFunc; math_Vector myTolerance; Blend_Point myPnt; gp_Pnt myBary; math_Vector X1; math_Vector X2; math_Vector XInit; math_Vector Sol; }; #endif // _BRepBlend_AppFuncRoot_HeaderFile