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1 // This file is part of Eigen, a lightweight C++ template library
2 // for linear algebra.
3 //
4 // Copyright (C) 2008-2010 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_SELECT_H
11 #define EIGEN_SELECT_H
12 
13 namespace Eigen {
14 
15 /** \class Select
16   * \ingroup Core_Module
17   *
18   * \brief Expression of a coefficient wise version of the C++ ternary operator ?:
19   *
20   * \param ConditionMatrixType the type of the \em condition expression which must be a boolean matrix
21   * \param ThenMatrixType the type of the \em then expression
22   * \param ElseMatrixType the type of the \em else expression
23   *
24   * This class represents an expression of a coefficient wise version of the C++ ternary operator ?:.
25   * It is the return type of DenseBase::select() and most of the time this is the only way it is used.
26   *
27   * \sa DenseBase::select(const DenseBase<ThenDerived>&, const DenseBase<ElseDerived>&) const
28   */
29 
30 namespace internal {
31 template<typename ConditionMatrixType, typename ThenMatrixType, typename ElseMatrixType>
32 struct traits<Select<ConditionMatrixType, ThenMatrixType, ElseMatrixType> >
33  : traits<ThenMatrixType>
34 {
35   typedef typename traits<ThenMatrixType>::Scalar Scalar;
36   typedef Dense StorageKind;
37   typedef typename traits<ThenMatrixType>::XprKind XprKind;
38   typedef typename ConditionMatrixType::Nested ConditionMatrixNested;
39   typedef typename ThenMatrixType::Nested ThenMatrixNested;
40   typedef typename ElseMatrixType::Nested ElseMatrixNested;
41   enum {
42     RowsAtCompileTime = ConditionMatrixType::RowsAtCompileTime,
43     ColsAtCompileTime = ConditionMatrixType::ColsAtCompileTime,
44     MaxRowsAtCompileTime = ConditionMatrixType::MaxRowsAtCompileTime,
45     MaxColsAtCompileTime = ConditionMatrixType::MaxColsAtCompileTime,
46     Flags = (unsigned int)ThenMatrixType::Flags & ElseMatrixType::Flags & RowMajorBit
47   };
48 };
49 }
50 
51 template<typename ConditionMatrixType, typename ThenMatrixType, typename ElseMatrixType>
52 class Select : public internal::dense_xpr_base< Select<ConditionMatrixType, ThenMatrixType, ElseMatrixType> >::type,
53                internal::no_assignment_operator
54 {
55   public:
56 
57     typedef typename internal::dense_xpr_base<Select>::type Base;
58     EIGEN_DENSE_PUBLIC_INTERFACE(Select)
59 
60     inline EIGEN_DEVICE_FUNC
61     Select(const ConditionMatrixType& a_conditionMatrix,
62            const ThenMatrixType& a_thenMatrix,
63            const ElseMatrixType& a_elseMatrix)
64       : m_condition(a_conditionMatrix), m_then(a_thenMatrix), m_else(a_elseMatrix)
65     {
66       eigen_assert(m_condition.rows() == m_then.rows() && m_condition.rows() == m_else.rows());
67       eigen_assert(m_condition.cols() == m_then.cols() && m_condition.cols() == m_else.cols());
68     }
69 
70     inline EIGEN_DEVICE_FUNC Index rows() const { return m_condition.rows(); }
71     inline EIGEN_DEVICE_FUNC Index cols() const { return m_condition.cols(); }
72 
73     inline EIGEN_DEVICE_FUNC
74     const Scalar coeff(Index i, Index j) const
75     {
76       if (m_condition.coeff(i,j))
77         return m_then.coeff(i,j);
78       else
79         return m_else.coeff(i,j);
80     }
81 
82     inline EIGEN_DEVICE_FUNC
83     const Scalar coeff(Index i) const
84     {
85       if (m_condition.coeff(i))
86         return m_then.coeff(i);
87       else
88         return m_else.coeff(i);
89     }
90 
91     inline EIGEN_DEVICE_FUNC const ConditionMatrixType& conditionMatrix() const
92     {
93       return m_condition;
94     }
95 
96     inline EIGEN_DEVICE_FUNC const ThenMatrixType& thenMatrix() const
97     {
98       return m_then;
99     }
100 
101     inline EIGEN_DEVICE_FUNC const ElseMatrixType& elseMatrix() const
102     {
103       return m_else;
104     }
105 
106   protected:
107     typename ConditionMatrixType::Nested m_condition;
108     typename ThenMatrixType::Nested m_then;
109     typename ElseMatrixType::Nested m_else;
110 };
111 
112 
113 /** \returns a matrix where each coefficient (i,j) is equal to \a thenMatrix(i,j)
114   * if \c *this(i,j), and \a elseMatrix(i,j) otherwise.
115   *
116   * Example: \include MatrixBase_select.cpp
117   * Output: \verbinclude MatrixBase_select.out
118   *
119   * \sa class Select
120   */
121 template<typename Derived>
122 template<typename ThenDerived,typename ElseDerived>
123 inline const Select<Derived,ThenDerived,ElseDerived>
124 DenseBase<Derived>::select(const DenseBase<ThenDerived>& thenMatrix,
125                             const DenseBase<ElseDerived>& elseMatrix) const
126 {
127   return Select<Derived,ThenDerived,ElseDerived>(derived(), thenMatrix.derived(), elseMatrix.derived());
128 }
129 
130 /** Version of DenseBase::select(const DenseBase&, const DenseBase&) with
131   * the \em else expression being a scalar value.
132   *
133   * \sa DenseBase::select(const DenseBase<ThenDerived>&, const DenseBase<ElseDerived>&) const, class Select
134   */
135 template<typename Derived>
136 template<typename ThenDerived>
137 inline const Select<Derived,ThenDerived, typename ThenDerived::ConstantReturnType>
138 DenseBase<Derived>::select(const DenseBase<ThenDerived>& thenMatrix,
139                            const typename ThenDerived::Scalar& elseScalar) const
140 {
141   return Select<Derived,ThenDerived,typename ThenDerived::ConstantReturnType>(
142     derived(), thenMatrix.derived(), ThenDerived::Constant(rows(),cols(),elseScalar));
143 }
144 
145 /** Version of DenseBase::select(const DenseBase&, const DenseBase&) with
146   * the \em then expression being a scalar value.
147   *
148   * \sa DenseBase::select(const DenseBase<ThenDerived>&, const DenseBase<ElseDerived>&) const, class Select
149   */
150 template<typename Derived>
151 template<typename ElseDerived>
152 inline const Select<Derived, typename ElseDerived::ConstantReturnType, ElseDerived >
153 DenseBase<Derived>::select(const typename ElseDerived::Scalar& thenScalar,
154                            const DenseBase<ElseDerived>& elseMatrix) const
155 {
156   return Select<Derived,typename ElseDerived::ConstantReturnType,ElseDerived>(
157     derived(), ElseDerived::Constant(rows(),cols(),thenScalar), elseMatrix.derived());
158 }
159 
160 } // end namespace Eigen
161 
162 #endif // EIGEN_SELECT_H
163