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1 // This file is part of Eigen, a lightweight C++ template library
2 // for linear algebra.
3 //
4 // Copyright (C) 20010-2011 Hauke Heibel <hauke.heibel@gmail.com>
5 //
6 // This Source Code Form is subject to the terms of the Mozilla
7 // Public License v. 2.0. If a copy of the MPL was not distributed
8 // with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
9 
10 #ifndef EIGEN_SPLINES_FWD_H
11 #define EIGEN_SPLINES_FWD_H
12 
13 #include <Eigen/Core>
14 
15 namespace Eigen
16 {
17     template <typename Scalar, int Dim, int Degree = Dynamic> class Spline;
18 
19     template < typename SplineType, int DerivativeOrder = Dynamic > struct SplineTraits {};
20 
21     /**
22      * \ingroup Splines_Module
23      * \brief Compile-time attributes of the Spline class for Dynamic degree.
24      **/
25     template <typename _Scalar, int _Dim, int _Degree>
26     struct SplineTraits< Spline<_Scalar, _Dim, _Degree>, Dynamic >
27     {
28       typedef _Scalar Scalar; /*!< The spline curve's scalar type. */
29       enum { Dimension = _Dim /*!< The spline curve's dimension. */ };
30       enum { Degree = _Degree /*!< The spline curve's degree. */ };
31 
32       enum { OrderAtCompileTime = _Degree==Dynamic ? Dynamic : _Degree+1 /*!< The spline curve's order at compile-time. */ };
33       enum { NumOfDerivativesAtCompileTime = OrderAtCompileTime /*!< The number of derivatives defined for the current spline. */ };
34 
35       enum { DerivativeMemoryLayout = Dimension==1 ? RowMajor : ColMajor /*!< The derivative type's memory layout. */ };
36 
37       /** \brief The data type used to store non-zero basis functions. */
38       typedef Array<Scalar,1,OrderAtCompileTime> BasisVectorType;
39 
40       /** \brief The data type used to store the values of the basis function derivatives. */
41       typedef Array<Scalar,Dynamic,Dynamic,RowMajor,NumOfDerivativesAtCompileTime,OrderAtCompileTime> BasisDerivativeType;
42 
43       /** \brief The data type used to store the spline's derivative values. */
44       typedef Array<Scalar,Dimension,Dynamic,DerivativeMemoryLayout,Dimension,NumOfDerivativesAtCompileTime> DerivativeType;
45 
46       /** \brief The point type the spline is representing. */
47       typedef Array<Scalar,Dimension,1> PointType;
48 
49       /** \brief The data type used to store knot vectors. */
50       typedef Array<Scalar,1,Dynamic> KnotVectorType;
51 
52       /** \brief The data type used to store parameter vectors. */
53       typedef Array<Scalar,1,Dynamic> ParameterVectorType;
54 
55       /** \brief The data type representing the spline's control points. */
56       typedef Array<Scalar,Dimension,Dynamic> ControlPointVectorType;
57     };
58 
59     /**
60      * \ingroup Splines_Module
61      * \brief Compile-time attributes of the Spline class for fixed degree.
62      *
63      * The traits class inherits all attributes from the SplineTraits of Dynamic degree.
64      **/
65     template < typename _Scalar, int _Dim, int _Degree, int _DerivativeOrder >
66     struct SplineTraits< Spline<_Scalar, _Dim, _Degree>, _DerivativeOrder > : public SplineTraits< Spline<_Scalar, _Dim, _Degree> >
67     {
68       enum { OrderAtCompileTime = _Degree==Dynamic ? Dynamic : _Degree+1 /*!< The spline curve's order at compile-time. */ };
69       enum { NumOfDerivativesAtCompileTime = _DerivativeOrder==Dynamic ? Dynamic : _DerivativeOrder+1 /*!< The number of derivatives defined for the current spline. */ };
70 
71       enum { DerivativeMemoryLayout = _Dim==1 ? RowMajor : ColMajor /*!< The derivative type's memory layout. */ };
72 
73       /** \brief The data type used to store the values of the basis function derivatives. */
74       typedef Array<_Scalar,Dynamic,Dynamic,RowMajor,NumOfDerivativesAtCompileTime,OrderAtCompileTime> BasisDerivativeType;
75 
76       /** \brief The data type used to store the spline's derivative values. */
77       typedef Array<_Scalar,_Dim,Dynamic,DerivativeMemoryLayout,_Dim,NumOfDerivativesAtCompileTime> DerivativeType;
78     };
79 
80     /** \brief 2D float B-spline with dynamic degree. */
81     typedef Spline<float,2> Spline2f;
82 
83     /** \brief 3D float B-spline with dynamic degree. */
84     typedef Spline<float,3> Spline3f;
85 
86     /** \brief 2D double B-spline with dynamic degree. */
87     typedef Spline<double,2> Spline2d;
88 
89     /** \brief 3D double B-spline with dynamic degree. */
90     typedef Spline<double,3> Spline3d;
91 }
92 
93 #endif // EIGEN_SPLINES_FWD_H
94