// Created on: 1992-03-25 // Created by: Herve LEGRAND // Copyright (c) 1992-1999 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 _GCPnts_AbscissaPoint_HeaderFile #define _GCPnts_AbscissaPoint_HeaderFile #include "CPnts_AbscissaPoint.hxx" class Adaptor3d_Curve; class Adaptor2d_Curve2d; //! Provides an algorithm to compute a point on a curve //! situated at a given distance from another point on the curve, //! the distance being measured along the curve (curvilinear abscissa on the curve). //! This algorithm is also used to compute the length of a curve. //! An AbscissaPoint object provides a framework for: //! - defining the point to compute //! - implementing the construction algorithm //! - consulting the result. class GCPnts_AbscissaPoint { public: DEFINE_STANDARD_ALLOC //! Computes the length of the 3D Curve. Standard_EXPORT static Standard_Real Length(const Adaptor3d_Curve& theC); //! Computes the length of the 2D Curve. Standard_EXPORT static Standard_Real Length(const Adaptor2d_Curve2d& theC); //! Computes the length of the 3D Curve with the given tolerance. Standard_EXPORT static Standard_Real Length(const Adaptor3d_Curve& theC, const Standard_Real theTol); //! Computes the length of the 2D Curve with the given tolerance. Standard_EXPORT static Standard_Real Length(const Adaptor2d_Curve2d& theC, const Standard_Real theTol); //! Computes the length of the 3D Curve. Standard_EXPORT static Standard_Real Length(const Adaptor3d_Curve& theC, const Standard_Real theU1, const Standard_Real theU2); //! Computes the length of the 2D Curve. Standard_EXPORT static Standard_Real Length(const Adaptor2d_Curve2d& theC, const Standard_Real theU1, const Standard_Real theU2); //! Computes the length of the 3D Curve with the given tolerance. Standard_EXPORT static Standard_Real Length(const Adaptor3d_Curve& theC, const Standard_Real theU1, const Standard_Real theU2, const Standard_Real theTol); //! Computes the length of the Curve with the given tolerance. Standard_EXPORT static Standard_Real Length(const Adaptor2d_Curve2d& theC, const Standard_Real theU1, const Standard_Real theU2, const Standard_Real theTol); public: //! Empty constructor. Standard_EXPORT GCPnts_AbscissaPoint(); //! The algorithm computes a point on a curve at the //! distance theAbscissa from the point of parameter theU0. Standard_EXPORT GCPnts_AbscissaPoint(const Adaptor3d_Curve& theC, const Standard_Real theAbscissa, const Standard_Real theU0); //! The algorithm computes a point on a curve at //! the distance theAbscissa from the point of parameter //! theU0 with the given tolerance. Standard_EXPORT GCPnts_AbscissaPoint(const Standard_Real theTol, const Adaptor3d_Curve& theC, const Standard_Real theAbscissa, const Standard_Real theU0); //! The algorithm computes a point on a curve at //! the distance theAbscissa from the point of parameter //! theU0 with the given tolerance. Standard_EXPORT GCPnts_AbscissaPoint(const Standard_Real theTol, const Adaptor2d_Curve2d& theC, const Standard_Real theAbscissa, const Standard_Real theU0); //! The algorithm computes a point on a curve at the //! distance theAbscissa from the point of parameter theU0. Standard_EXPORT GCPnts_AbscissaPoint(const Adaptor2d_Curve2d& theC, const Standard_Real theAbscissa, const Standard_Real theU0); //! The algorithm computes a point on a curve at the //! distance theAbscissa from the point of parameter theU0. //! theUi is the starting value used in the iterative process //! which find the solution, it must be close to the final solution. Standard_EXPORT GCPnts_AbscissaPoint(const Adaptor3d_Curve& theC, const Standard_Real theAbscissa, const Standard_Real theU0, const Standard_Real theUi); //! The algorithm computes a point on a curve at the //! distance theAbscissa from the point of parameter theU0. //! theUi is the starting value used in the iterative process //! which find the solution, it must be closed to the final solution Standard_EXPORT GCPnts_AbscissaPoint(const Adaptor2d_Curve2d& theC, const Standard_Real theAbscissa, const Standard_Real theU0, const Standard_Real theUi); //! The algorithm computes a point on a curve at the //! distance theAbscissa from the point of parameter theU0. //! theUi is the starting value used in the iterative process //! which find the solution, it must be close to the final solution Standard_EXPORT GCPnts_AbscissaPoint(const Adaptor3d_Curve& theC, const Standard_Real theAbscissa, const Standard_Real theU0, const Standard_Real theUi, const Standard_Real theTol); //! The algorithm computes a point on a curve at the //! distance theAbscissa from the point of parameter theU0. //! theUi is the starting value used in the iterative process //! which find the solution, it must be close to the final solution Standard_EXPORT GCPnts_AbscissaPoint(const Adaptor2d_Curve2d& theC, const Standard_Real theAbscissa, const Standard_Real theU0, const Standard_Real theUi, const Standard_Real theTol); //! True if the computation was successful, False otherwise. //! IsDone is a protection against: //! - non-convergence of the algorithm //! - querying the results before computation. Standard_Boolean IsDone() const { return myComputer.IsDone(); } //! Returns the parameter on the curve of the point //! solution of this algorithm. //! Exceptions //! StdFail_NotDone if the computation was not //! successful, or was not done. Standard_Real Parameter() const { return myComputer.Parameter(); } private: //! Computes the length of the Curve with the optional tolerance. template static Standard_Real length(const TheCurve& theC, const Standard_Real theU1, const Standard_Real theU2, const Standard_Real* theTol); //! Performs algorithm from the point of parameter. template void compute(const TheCurve& theC, const Standard_Real theAbscissa, const Standard_Real theU0); //! Performs algorithm from the point of parameter with the given tolerance. template void advCompute(const Standard_Real theTol, const TheCurve& theC, const Standard_Real theAbscissa, const Standard_Real theU0); private: CPnts_AbscissaPoint myComputer; }; #endif // _GCPnts_AbscissaPoint_HeaderFile