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1 // This file is part of Eigen, a lightweight C++ template library
2 // for linear algebra.
3 //
4 // Copyright (C) 2009-2010 Gael Guennebaud <gael.guennebaud@inria.fr>
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_REPLICATE_H
11 #define EIGEN_REPLICATE_H
12 
13 namespace Eigen {
14 
15 namespace internal {
16 template<typename MatrixType,int RowFactor,int ColFactor>
17 struct traits<Replicate<MatrixType,RowFactor,ColFactor> >
18  : traits<MatrixType>
19 {
20   typedef typename MatrixType::Scalar Scalar;
21   typedef typename traits<MatrixType>::StorageKind StorageKind;
22   typedef typename traits<MatrixType>::XprKind XprKind;
23   typedef typename ref_selector<MatrixType>::type MatrixTypeNested;
24   typedef typename remove_reference<MatrixTypeNested>::type _MatrixTypeNested;
25   enum {
26     RowsAtCompileTime = RowFactor==Dynamic || int(MatrixType::RowsAtCompileTime)==Dynamic
27                       ? Dynamic
28                       : RowFactor * MatrixType::RowsAtCompileTime,
29     ColsAtCompileTime = ColFactor==Dynamic || int(MatrixType::ColsAtCompileTime)==Dynamic
30                       ? Dynamic
31                       : ColFactor * MatrixType::ColsAtCompileTime,
32    //FIXME we don't propagate the max sizes !!!
33     MaxRowsAtCompileTime = RowsAtCompileTime,
34     MaxColsAtCompileTime = ColsAtCompileTime,
35     IsRowMajor = MaxRowsAtCompileTime==1 && MaxColsAtCompileTime!=1 ? 1
36                : MaxColsAtCompileTime==1 && MaxRowsAtCompileTime!=1 ? 0
37                : (MatrixType::Flags & RowMajorBit) ? 1 : 0,
38 
39     // FIXME enable DirectAccess with negative strides?
40     Flags = IsRowMajor ? RowMajorBit : 0
41   };
42 };
43 }
44 
45 /**
46   * \class Replicate
47   * \ingroup Core_Module
48   *
49   * \brief Expression of the multiple replication of a matrix or vector
50   *
51   * \tparam MatrixType the type of the object we are replicating
52   * \tparam RowFactor number of repetitions at compile time along the vertical direction, can be Dynamic.
53   * \tparam ColFactor number of repetitions at compile time along the horizontal direction, can be Dynamic.
54   *
55   * This class represents an expression of the multiple replication of a matrix or vector.
56   * It is the return type of DenseBase::replicate() and most of the time
57   * this is the only way it is used.
58   *
59   * \sa DenseBase::replicate()
60   */
61 template<typename MatrixType,int RowFactor,int ColFactor> class Replicate
62   : public internal::dense_xpr_base< Replicate<MatrixType,RowFactor,ColFactor> >::type
63 {
64     typedef typename internal::traits<Replicate>::MatrixTypeNested MatrixTypeNested;
65     typedef typename internal::traits<Replicate>::_MatrixTypeNested _MatrixTypeNested;
66   public:
67 
68     typedef typename internal::dense_xpr_base<Replicate>::type Base;
69     EIGEN_DENSE_PUBLIC_INTERFACE(Replicate)
70     typedef typename internal::remove_all<MatrixType>::type NestedExpression;
71 
72     template<typename OriginalMatrixType>
73     EIGEN_DEVICE_FUNC
74     inline explicit Replicate(const OriginalMatrixType& matrix)
75       : m_matrix(matrix), m_rowFactor(RowFactor), m_colFactor(ColFactor)
76     {
77       EIGEN_STATIC_ASSERT((internal::is_same<typename internal::remove_const<MatrixType>::type,OriginalMatrixType>::value),
78                           THE_MATRIX_OR_EXPRESSION_THAT_YOU_PASSED_DOES_NOT_HAVE_THE_EXPECTED_TYPE)
79       eigen_assert(RowFactor!=Dynamic && ColFactor!=Dynamic);
80     }
81 
82     template<typename OriginalMatrixType>
83     EIGEN_DEVICE_FUNC
84     inline Replicate(const OriginalMatrixType& matrix, Index rowFactor, Index colFactor)
85       : m_matrix(matrix), m_rowFactor(rowFactor), m_colFactor(colFactor)
86     {
87       EIGEN_STATIC_ASSERT((internal::is_same<typename internal::remove_const<MatrixType>::type,OriginalMatrixType>::value),
88                           THE_MATRIX_OR_EXPRESSION_THAT_YOU_PASSED_DOES_NOT_HAVE_THE_EXPECTED_TYPE)
89     }
90 
91     EIGEN_DEVICE_FUNC
92     inline Index rows() const { return m_matrix.rows() * m_rowFactor.value(); }
93     EIGEN_DEVICE_FUNC
94     inline Index cols() const { return m_matrix.cols() * m_colFactor.value(); }
95 
96     EIGEN_DEVICE_FUNC
97     const _MatrixTypeNested& nestedExpression() const
98     {
99       return m_matrix;
100     }
101 
102   protected:
103     MatrixTypeNested m_matrix;
104     const internal::variable_if_dynamic<Index, RowFactor> m_rowFactor;
105     const internal::variable_if_dynamic<Index, ColFactor> m_colFactor;
106 };
107 
108 /**
109   * \return an expression of the replication of \c *this
110   *
111   * Example: \include MatrixBase_replicate.cpp
112   * Output: \verbinclude MatrixBase_replicate.out
113   *
114   * \sa VectorwiseOp::replicate(), DenseBase::replicate(Index,Index), class Replicate
115   */
116 template<typename Derived>
117 template<int RowFactor, int ColFactor>
118 const Replicate<Derived,RowFactor,ColFactor>
119 DenseBase<Derived>::replicate() const
120 {
121   return Replicate<Derived,RowFactor,ColFactor>(derived());
122 }
123 
124 /**
125   * \return an expression of the replication of each column (or row) of \c *this
126   *
127   * Example: \include DirectionWise_replicate_int.cpp
128   * Output: \verbinclude DirectionWise_replicate_int.out
129   *
130   * \sa VectorwiseOp::replicate(), DenseBase::replicate(), class Replicate
131   */
132 template<typename ExpressionType, int Direction>
133 const typename VectorwiseOp<ExpressionType,Direction>::ReplicateReturnType
134 VectorwiseOp<ExpressionType,Direction>::replicate(Index factor) const
135 {
136   return typename VectorwiseOp<ExpressionType,Direction>::ReplicateReturnType
137           (_expression(),Direction==Vertical?factor:1,Direction==Horizontal?factor:1);
138 }
139 
140 } // end namespace Eigen
141 
142 #endif // EIGEN_REPLICATE_H
143