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SplineFwd.h
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 
25  template <typename _Scalar, int _Dim, int _Degree>
26  struct SplineTraits< Spline<_Scalar, _Dim, _Degree>, Dynamic >
27  {
28  typedef _Scalar Scalar;
29  enum { Dimension = _Dim };
30  enum { Degree = _Degree };
31 
32  enum { OrderAtCompileTime = _Degree==Dynamic ? Dynamic : _Degree+1 };
33  enum { NumOfDerivativesAtCompileTime = OrderAtCompileTime };
34 
36  typedef Array<Scalar,1,OrderAtCompileTime> BasisVectorType;
37 
39  typedef Array<Scalar,Dynamic,Dynamic,RowMajor,NumOfDerivativesAtCompileTime,OrderAtCompileTime> BasisDerivativeType;
40 
42  typedef Array<Scalar,Dimension,Dynamic,ColMajor,Dimension,NumOfDerivativesAtCompileTime> DerivativeType;
43 
45  typedef Array<Scalar,Dimension,1> PointType;
46 
48  typedef Array<Scalar,1,Dynamic> KnotVectorType;
49 
51  typedef Array<Scalar,Dimension,Dynamic> ControlPointVectorType;
52  };
53 
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 };
64  enum { NumOfDerivativesAtCompileTime = _DerivativeOrder==Dynamic ? Dynamic : _DerivativeOrder+1 };
65 
67  typedef Array<_Scalar,Dynamic,Dynamic,RowMajor,NumOfDerivativesAtCompileTime,OrderAtCompileTime> BasisDerivativeType;
68 
70  typedef Array<_Scalar,_Dim,Dynamic,ColMajor,_Dim,NumOfDerivativesAtCompileTime> DerivativeType;
71  };
72 
75 
78 
81 
84 }
85 
86 #endif // EIGEN_SPLINES_FWD_H
A class representing multi-dimensional spline curves.
Definition: Spline.h:35
Array< Scalar, Dimension, 1 > PointType
The point type the spline is representing.
Definition: SplineFwd.h:45
Array< _Scalar, _Dim, Dynamic, ColMajor, _Dim, NumOfDerivativesAtCompileTime > DerivativeType
The data type used to store the spline's derivative values.
Definition: SplineFwd.h:70
iterative scaling algorithm to equilibrate rows and column norms in matrices
Definition: AutoDiffJacobian.h:13
Array< Scalar, 1, Dynamic > KnotVectorType
The data type used to store knot vectors.
Definition: SplineFwd.h:48
Spline< double, 3 > Spline3d
3D double B-spline with dynamic degree.
Definition: SplineFwd.h:83
Array< Scalar, Dynamic, Dynamic, RowMajor, NumOfDerivativesAtCompileTime, OrderAtCompileTime > BasisDerivativeType
The data type used to store the values of the basis function derivatives.
Definition: SplineFwd.h:39
Array< _Scalar, Dynamic, Dynamic, RowMajor, NumOfDerivativesAtCompileTime, OrderAtCompileTime > BasisDerivativeType
The data type used to store the values of the basis function derivatives.
Definition: SplineFwd.h:67
Spline< float, 3 > Spline3f
3D float B-spline with dynamic degree.
Definition: SplineFwd.h:77
Spline< float, 2 > Spline2f
2D float B-spline with dynamic degree.
Definition: SplineFwd.h:74
Array< Scalar, Dimension, Dynamic > ControlPointVectorType
The data type representing the spline's control points.
Definition: SplineFwd.h:51
Spline< double, 2 > Spline2d
2D double B-spline with dynamic degree.
Definition: SplineFwd.h:80
Array< Scalar, 1, OrderAtCompileTime > BasisVectorType
The data type used to store non-zero basis functions.
Definition: SplineFwd.h:36
Array< Scalar, Dimension, Dynamic, ColMajor, Dimension, NumOfDerivativesAtCompileTime > DerivativeType
The data type used to store the spline's derivative values.
Definition: SplineFwd.h:42