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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 (at) 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       /** \brief The data type used to store non-zero basis functions. */
     36       typedef Array<Scalar,1,OrderAtCompileTime> BasisVectorType;
     37 
     38       /** \brief The data type used to store the values of the basis function derivatives. */
     39       typedef Array<Scalar,Dynamic,Dynamic,RowMajor,NumOfDerivativesAtCompileTime,OrderAtCompileTime> BasisDerivativeType;
     40 
     41       /** \brief The data type used to store the spline's derivative values. */
     42       typedef Array<Scalar,Dimension,Dynamic,ColMajor,Dimension,NumOfDerivativesAtCompileTime> DerivativeType;
     43 
     44       /** \brief The point type the spline is representing. */
     45       typedef Array<Scalar,Dimension,1> PointType;
     46 
     47       /** \brief The data type used to store knot vectors. */
     48       typedef Array<Scalar,1,Dynamic> KnotVectorType;
     49 
     50       /** \brief The data type representing the spline's control points. */
     51       typedef Array<Scalar,Dimension,Dynamic> ControlPointVectorType;
     52     };
     53 
     54     /**
     55      * \ingroup Splines_Module
     56      * \brief Compile-time attributes of the Spline class for fixed degree.
     57      *
     58      * The traits class inherits all attributes from the SplineTraits of Dynamic degree.
     59      **/
     60     template < typename _Scalar, int _Dim, int _Degree, int _DerivativeOrder >
     61     struct SplineTraits< Spline<_Scalar, _Dim, _Degree>, _DerivativeOrder > : public SplineTraits< Spline<_Scalar, _Dim, _Degree> >
     62     {
     63       enum { OrderAtCompileTime = _Degree==Dynamic ? Dynamic : _Degree+1 /*!< The spline curve's order at compile-time. */ };
     64       enum { NumOfDerivativesAtCompileTime = _DerivativeOrder==Dynamic ? Dynamic : _DerivativeOrder+1 /*!< The number of derivatives defined for the current spline. */ };
     65 
     66       /** \brief The data type used to store the values of the basis function derivatives. */
     67       typedef Array<_Scalar,Dynamic,Dynamic,RowMajor,NumOfDerivativesAtCompileTime,OrderAtCompileTime> BasisDerivativeType;
     68 
     69       /** \brief The data type used to store the spline's derivative values. */
     70       typedef Array<_Scalar,_Dim,Dynamic,ColMajor,_Dim,NumOfDerivativesAtCompileTime> DerivativeType;
     71     };
     72 
     73     /** \brief 2D float B-spline with dynamic degree. */
     74     typedef Spline<float,2> Spline2f;
     75 
     76     /** \brief 3D float B-spline with dynamic degree. */
     77     typedef Spline<float,3> Spline3f;
     78 
     79     /** \brief 2D double B-spline with dynamic degree. */
     80     typedef Spline<double,2> Spline2d;
     81 
     82     /** \brief 3D double B-spline with dynamic degree. */
     83     typedef Spline<double,3> Spline3d;
     84 }
     85 
     86 #endif // EIGEN_SPLINES_FWD_H
     87