1c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath// This file is part of Eigen, a lightweight C++ template library
2c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath// for linear algebra.
3c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath//
4c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath// Copyright (C) 20010-2011 Hauke Heibel <hauke.heibel@gmail.com>
5c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath//
6c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath// This Source Code Form is subject to the terms of the Mozilla
7c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath// Public License v. 2.0. If a copy of the MPL was not distributed
8c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
9c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath
10c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath#ifndef EIGEN_SPLINES_FWD_H
11c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath#define EIGEN_SPLINES_FWD_H
12c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath
13c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath#include <Eigen/Core>
14c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath
15c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathnamespace Eigen
16c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath{
17c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath    template <typename Scalar, int Dim, int Degree = Dynamic> class Spline;
18c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath
19c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath    template < typename SplineType, int DerivativeOrder = Dynamic > struct SplineTraits {};
20c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath
21c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath    /**
22c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath     * \ingroup Splines_Module
23c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath     * \brief Compile-time attributes of the Spline class for Dynamic degree.
24c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath     **/
25c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath    template <typename _Scalar, int _Dim, int _Degree>
26c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath    struct SplineTraits< Spline<_Scalar, _Dim, _Degree>, Dynamic >
27c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath    {
28c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath      typedef _Scalar Scalar; /*!< The spline curve's scalar type. */
29c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath      enum { Dimension = _Dim /*!< The spline curve's dimension. */ };
30c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath      enum { Degree = _Degree /*!< The spline curve's degree. */ };
31c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath
32c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath      enum { OrderAtCompileTime = _Degree==Dynamic ? Dynamic : _Degree+1 /*!< The spline curve's order at compile-time. */ };
33c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath      enum { NumOfDerivativesAtCompileTime = OrderAtCompileTime /*!< The number of derivatives defined for the current spline. */ };
34c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath
35c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath      /** \brief The data type used to store non-zero basis functions. */
36c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath      typedef Array<Scalar,1,OrderAtCompileTime> BasisVectorType;
37c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath
38c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath      /** \brief The data type used to store the values of the basis function derivatives. */
39c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath      typedef Array<Scalar,Dynamic,Dynamic,RowMajor,NumOfDerivativesAtCompileTime,OrderAtCompileTime> BasisDerivativeType;
40c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath
41c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath      /** \brief The data type used to store the spline's derivative values. */
42c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath      typedef Array<Scalar,Dimension,Dynamic,ColMajor,Dimension,NumOfDerivativesAtCompileTime> DerivativeType;
43c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath
44c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath      /** \brief The point type the spline is representing. */
45c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath      typedef Array<Scalar,Dimension,1> PointType;
46c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath
47c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath      /** \brief The data type used to store knot vectors. */
48c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath      typedef Array<Scalar,1,Dynamic> KnotVectorType;
49c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath
50c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath      /** \brief The data type representing the spline's control points. */
51c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath      typedef Array<Scalar,Dimension,Dynamic> ControlPointVectorType;
52c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath    };
53c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath
54c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath    /**
55c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath     * \ingroup Splines_Module
56c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath     * \brief Compile-time attributes of the Spline class for fixed degree.
57c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath     *
58c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath     * The traits class inherits all attributes from the SplineTraits of Dynamic degree.
59c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath     **/
60c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath    template < typename _Scalar, int _Dim, int _Degree, int _DerivativeOrder >
61c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath    struct SplineTraits< Spline<_Scalar, _Dim, _Degree>, _DerivativeOrder > : public SplineTraits< Spline<_Scalar, _Dim, _Degree> >
62c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath    {
63c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath      enum { OrderAtCompileTime = _Degree==Dynamic ? Dynamic : _Degree+1 /*!< The spline curve's order at compile-time. */ };
64c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath      enum { NumOfDerivativesAtCompileTime = _DerivativeOrder==Dynamic ? Dynamic : _DerivativeOrder+1 /*!< The number of derivatives defined for the current spline. */ };
65c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath
66c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath      /** \brief The data type used to store the values of the basis function derivatives. */
67c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath      typedef Array<_Scalar,Dynamic,Dynamic,RowMajor,NumOfDerivativesAtCompileTime,OrderAtCompileTime> BasisDerivativeType;
68c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath
69c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath      /** \brief The data type used to store the spline's derivative values. */
70c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath      typedef Array<_Scalar,_Dim,Dynamic,ColMajor,_Dim,NumOfDerivativesAtCompileTime> DerivativeType;
71c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath    };
72c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath
73c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath    /** \brief 2D float B-spline with dynamic degree. */
74c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath    typedef Spline<float,2> Spline2f;
75c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath
76c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath    /** \brief 3D float B-spline with dynamic degree. */
77c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath    typedef Spline<float,3> Spline3f;
78c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath
79c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath    /** \brief 2D double B-spline with dynamic degree. */
80c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath    typedef Spline<double,2> Spline2d;
81c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath
82c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath    /** \brief 3D double B-spline with dynamic degree. */
83c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath    typedef Spline<double,3> Spline3d;
84c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath}
85c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath
86c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath#endif // EIGEN_SPLINES_FWD_H
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