1 // Copyright (c) 2014 OPEN CASCADE SAS
3 // This file is part of Open CASCADE Technology software library.
5 // This library is free software; you can redistribute it and/or modify it under
6 // the terms of the GNU Lesser General Public License version 2.1 as published
7 // by the Free Software Foundation, with special exception defined in the file
8 // OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT
9 // distribution for complete text of the license and disclaimer of any warranty.
11 // Alternatively, this file may be used under the terms of Open CASCADE
12 // commercial license or contractual agreement.
14 #ifndef _BSplCLib_Cache_Headerfile
15 #define _BSplCLib_Cache_Headerfile
17 #include <Standard.hxx>
18 #include <Standard_Macro.hxx>
19 #include <Standard_Type.hxx>
20 #include <Standard_Transient.hxx>
22 #include <gp_Pnt2d.hxx>
24 #include <gp_Vec2d.hxx>
27 #include <TColStd_HArray2OfReal.hxx>
28 #include <TColStd_HArray1OfReal.hxx>
29 #include <TColStd_Array1OfReal.hxx>
30 #include <TColgp_Array1OfPnt.hxx>
31 #include <TColgp_Array1OfPnt2d.hxx>
33 #include <BSplCLib_CacheParams.hxx>
35 //! \brief A cache class for Bezier and B-spline curves.
37 //! Defines all data, that can be cached on a span of a curve.
38 //! The data should be recalculated in going from span to span.
39 class BSplCLib_Cache : public Standard_Transient
43 //! Constructor, prepares data structures for caching values on a 2d curve.
44 //! \param theDegree degree of the curve
45 //! \param thePeriodic identify whether the curve is periodic
46 //! \param theFlatKnots knots of Bezier/B-spline curve (with repetitions)
47 //! \param thePoles2d array of poles of 2D curve
48 //! \param theWeights array of weights of corresponding poles
49 Standard_EXPORT BSplCLib_Cache(const Standard_Integer& theDegree,
50 const Standard_Boolean& thePeriodic,
51 const TColStd_Array1OfReal& theFlatKnots,
52 const TColgp_Array1OfPnt2d& thePoles2d,
53 const TColStd_Array1OfReal* theWeights = NULL);
55 //! Constructor, prepares data structures for caching values on a 3d curve.
56 //! \param theDegree degree of the curve
57 //! \param thePeriodic identify whether the curve is periodic
58 //! \param theFlatKnots knots of Bezier/B-spline curve (with repetitions)
59 //! \param thePoles array of poles of 3D curve
60 //! \param theWeights array of weights of corresponding poles
61 Standard_EXPORT BSplCLib_Cache(const Standard_Integer& theDegree,
62 const Standard_Boolean& thePeriodic,
63 const TColStd_Array1OfReal& theFlatKnots,
64 const TColgp_Array1OfPnt& thePoles,
65 const TColStd_Array1OfReal* theWeights = NULL);
67 //! Verifies validity of the cache using flat parameter of the point
68 //! \param theParameter parameter of the point placed in the span
69 Standard_EXPORT Standard_Boolean IsCacheValid(Standard_Real theParameter) const;
71 //! Recomputes the cache data for 2D curves. Does not verify validity of the cache
72 //! \param theParameter the value on the knot's axis to identify the span
73 //! \param theFlatKnots knots of Bezier/B-spline curve (with repetitions)
74 //! \param thePoles2d array of poles of 2D curve
75 //! \param theWeights array of weights of corresponding poles
76 Standard_EXPORT void BuildCache(const Standard_Real& theParameter,
77 const TColStd_Array1OfReal& theFlatKnots,
78 const TColgp_Array1OfPnt2d& thePoles2d,
79 const TColStd_Array1OfReal* theWeights);
81 //! Recomputes the cache data for 3D curves. Does not verify validity of the cache
82 //! \param theParameter the value on the knot's axis to identify the span
83 //! \param theFlatKnots knots of Bezier/B-spline curve (with repetitions)
84 //! \param thePoles array of poles of 3D curve
85 //! \param theWeights array of weights of corresponding poles
86 Standard_EXPORT void BuildCache(const Standard_Real& theParameter,
87 const TColStd_Array1OfReal& theFlatKnots,
88 const TColgp_Array1OfPnt& thePoles,
89 const TColStd_Array1OfReal* theWeights = NULL);
91 //! Calculates the point on the curve in the specified parameter
92 //! \param[in] theParameter parameter of calculation of the value
93 //! \param[out] thePoint the result of calculation (the point on the curve)
94 Standard_EXPORT void D0(const Standard_Real& theParameter, gp_Pnt2d& thePoint) const;
95 Standard_EXPORT void D0(const Standard_Real& theParameter, gp_Pnt& thePoint) const;
97 //! Calculates the point on the curve and its first derivative in the specified parameter
98 //! \param[in] theParameter parameter of calculation of the value
99 //! \param[out] thePoint the result of calculation (the point on the curve)
100 //! \param[out] theTangent tangent vector (first derivatives) for the curve in the calculated point
101 Standard_EXPORT void D1(const Standard_Real& theParameter, gp_Pnt2d& thePoint, gp_Vec2d& theTangent) const;
102 Standard_EXPORT void D1(const Standard_Real& theParameter, gp_Pnt& thePoint, gp_Vec& theTangent) const;
104 //! Calculates the point on the curve and two derivatives in the specified parameter
105 //! \param[in] theParameter parameter of calculation of the value
106 //! \param[out] thePoint the result of calculation (the point on the curve)
107 //! \param[out] theTangent tangent vector (1st derivatives) for the curve in the calculated point
108 //! \param[out] theCurvature curvature vector (2nd derivatives) for the curve in the calculated point
109 Standard_EXPORT void D2(const Standard_Real& theParameter,
111 gp_Vec2d& theTangent,
112 gp_Vec2d& theCurvature) const;
113 Standard_EXPORT void D2(const Standard_Real& theParameter,
116 gp_Vec& theCurvature) const;
118 //! Calculates the point on the curve and three derivatives in the specified parameter
119 //! \param[in] theParameter parameter of calculation of the value
120 //! \param[out] thePoint the result of calculation (the point on the curve)
121 //! \param[out] theTangent tangent vector (1st derivatives) for the curve in the calculated point
122 //! \param[out] theCurvature curvature vector (2nd derivatives) for the curve in the calculated point
123 //! \param[out] theTorsion second curvature vector (3rd derivatives) for the curve in the calculated point
124 Standard_EXPORT void D3(const Standard_Real& theParameter,
126 gp_Vec2d& theTangent,
127 gp_Vec2d& theCurvature,
128 gp_Vec2d& theTorsion) const;
129 Standard_EXPORT void D3(const Standard_Real& theParameter,
132 gp_Vec& theCurvature,
133 gp_Vec& theTorsion) const;
136 DEFINE_STANDARD_RTTIEXT(BSplCLib_Cache,Standard_Transient)
140 //! Fills array of derivatives in the selected point of the curve
141 //! \param[in] theParameter parameter of the calculation
142 //! \param[in] theDerivative maximal derivative to be calculated (computes all derivatives lesser than specified)
143 //! \param[out] theDerivArray result array of derivatives (with size (theDerivative+1)*(PntDim+1),
144 //! where PntDim = 2 or 3 is a dimension of the curve)
145 void CalculateDerivative(const Standard_Real& theParameter,
146 const Standard_Integer& theDerivative,
147 Standard_Real& theDerivArray) const;
149 // copying is prohibited
150 BSplCLib_Cache (const BSplCLib_Cache&);
151 void operator = (const BSplCLib_Cache&);
154 Standard_Boolean myIsRational; //!< identifies the rationality of Bezier/B-spline curve
155 BSplCLib_CacheParams myParams; //!< cache parameters
156 Handle(TColStd_HArray2OfReal) myPolesWeights; //!< array of poles and weights of calculated cache
157 // the array has following structure:
159 // x2 y2 [z2] [w2] etc
160 // for 2D-curves there is no z conponent, for non-rational curves there is no weight
163 DEFINE_STANDARD_HANDLE(BSplCLib_Cache, Standard_Transient)