// Copyright (c) 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 _BSplCLib_Cache_Headerfile #define _BSplCLib_Cache_Headerfile #include #include #include #include #include #include #include #include #include #include #include #include #include #include //! \brief A cache class for Bezier and B-spline curves. //! //! Defines all data, that can be cached on a span of a curve. //! The data should be recalculated in going from span to span. class BSplCLib_Cache : public Standard_Transient { public: //! Constructor, prepares data structures for caching values on a 2d curve. //! \param theDegree degree of the curve //! \param thePeriodic identify whether the curve is periodic //! \param theFlatKnots knots of Bezier/B-spline curve (with repetitions) //! \param thePoles2d array of poles of 2D curve //! \param theWeights array of weights of corresponding poles Standard_EXPORT BSplCLib_Cache(const Standard_Integer& theDegree, const Standard_Boolean& thePeriodic, const TColStd_Array1OfReal& theFlatKnots, const TColgp_Array1OfPnt2d& thePoles2d, const TColStd_Array1OfReal* theWeights = NULL); //! Constructor, prepares data structures for caching values on a 3d curve. //! \param theDegree degree of the curve //! \param thePeriodic identify whether the curve is periodic //! \param theFlatKnots knots of Bezier/B-spline curve (with repetitions) //! \param thePoles array of poles of 3D curve //! \param theWeights array of weights of corresponding poles Standard_EXPORT BSplCLib_Cache(const Standard_Integer& theDegree, const Standard_Boolean& thePeriodic, const TColStd_Array1OfReal& theFlatKnots, const TColgp_Array1OfPnt& thePoles, const TColStd_Array1OfReal* theWeights = NULL); //! Verifies validity of the cache using flat parameter of the point //! \param theParameter parameter of the point placed in the span Standard_EXPORT Standard_Boolean IsCacheValid(Standard_Real theParameter) const; //! Recomputes the cache data for 2D curves. Does not verify validity of the cache //! \param theParameter the value on the knot's axis to identify the span //! \param theFlatKnots knots of Bezier/B-spline curve (with repetitions) //! \param thePoles2d array of poles of 2D curve //! \param theWeights array of weights of corresponding poles Standard_EXPORT void BuildCache(const Standard_Real& theParameter, const TColStd_Array1OfReal& theFlatKnots, const TColgp_Array1OfPnt2d& thePoles2d, const TColStd_Array1OfReal* theWeights); //! Recomputes the cache data for 3D curves. Does not verify validity of the cache //! \param theParameter the value on the knot's axis to identify the span //! \param theFlatKnots knots of Bezier/B-spline curve (with repetitions) //! \param thePoles array of poles of 3D curve //! \param theWeights array of weights of corresponding poles Standard_EXPORT void BuildCache(const Standard_Real& theParameter, const TColStd_Array1OfReal& theFlatKnots, const TColgp_Array1OfPnt& thePoles, const TColStd_Array1OfReal* theWeights = NULL); //! Calculates the point on the curve in the specified parameter //! \param[in] theParameter parameter of calculation of the value //! \param[out] thePoint the result of calculation (the point on the curve) Standard_EXPORT void D0(const Standard_Real& theParameter, gp_Pnt2d& thePoint) const; Standard_EXPORT void D0(const Standard_Real& theParameter, gp_Pnt& thePoint) const; //! Calculates the point on the curve and its first derivative in the specified parameter //! \param[in] theParameter parameter of calculation of the value //! \param[out] thePoint the result of calculation (the point on the curve) //! \param[out] theTangent tangent vector (first derivatives) for the curve in the calculated point Standard_EXPORT void D1(const Standard_Real& theParameter, gp_Pnt2d& thePoint, gp_Vec2d& theTangent) const; Standard_EXPORT void D1(const Standard_Real& theParameter, gp_Pnt& thePoint, gp_Vec& theTangent) const; //! Calculates the point on the curve and two derivatives in the specified parameter //! \param[in] theParameter parameter of calculation of the value //! \param[out] thePoint the result of calculation (the point on the curve) //! \param[out] theTangent tangent vector (1st derivatives) for the curve in the calculated point //! \param[out] theCurvature curvature vector (2nd derivatives) for the curve in the calculated point Standard_EXPORT void D2(const Standard_Real& theParameter, gp_Pnt2d& thePoint, gp_Vec2d& theTangent, gp_Vec2d& theCurvature) const; Standard_EXPORT void D2(const Standard_Real& theParameter, gp_Pnt& thePoint, gp_Vec& theTangent, gp_Vec& theCurvature) const; //! Calculates the point on the curve and three derivatives in the specified parameter //! \param[in] theParameter parameter of calculation of the value //! \param[out] thePoint the result of calculation (the point on the curve) //! \param[out] theTangent tangent vector (1st derivatives) for the curve in the calculated point //! \param[out] theCurvature curvature vector (2nd derivatives) for the curve in the calculated point //! \param[out] theTorsion second curvature vector (3rd derivatives) for the curve in the calculated point Standard_EXPORT void D3(const Standard_Real& theParameter, gp_Pnt2d& thePoint, gp_Vec2d& theTangent, gp_Vec2d& theCurvature, gp_Vec2d& theTorsion) const; Standard_EXPORT void D3(const Standard_Real& theParameter, gp_Pnt& thePoint, gp_Vec& theTangent, gp_Vec& theCurvature, gp_Vec& theTorsion) const; DEFINE_STANDARD_RTTIEXT(BSplCLib_Cache,Standard_Transient) protected: //! Fills array of derivatives in the selected point of the curve //! \param[in] theParameter parameter of the calculation //! \param[in] theDerivative maximal derivative to be calculated (computes all derivatives lesser than specified) //! \param[out] theDerivArray result array of derivatives (with size (theDerivative+1)*(PntDim+1), //! where PntDim = 2 or 3 is a dimension of the curve) void CalculateDerivative(const Standard_Real& theParameter, const Standard_Integer& theDerivative, Standard_Real& theDerivArray) const; // copying is prohibited BSplCLib_Cache (const BSplCLib_Cache&); void operator = (const BSplCLib_Cache&); private: Standard_Boolean myIsRational; //!< identifies the rationality of Bezier/B-spline curve BSplCLib_CacheParams myParams; //!< cache parameters Handle(TColStd_HArray2OfReal) myPolesWeights; //!< array of poles and weights of calculated cache // the array has following structure: // x1 y1 [z1] [w1] // x2 y2 [z2] [w2] etc // for 2D-curves there is no z conponent, for non-rational curves there is no weight }; DEFINE_STANDARD_HANDLE(BSplCLib_Cache, Standard_Transient) #endif