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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 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_ARRAYBASE_H
11 #define EIGEN_ARRAYBASE_H
12 
13 namespace Eigen {
14 
15 template<typename ExpressionType> class MatrixWrapper;
16 
17 /** \class ArrayBase
18   * \ingroup Core_Module
19   *
20   * \brief Base class for all 1D and 2D array, and related expressions
21   *
22   * An array is similar to a dense vector or matrix. While matrices are mathematical
23   * objects with well defined linear algebra operators, an array is just a collection
24   * of scalar values arranged in a one or two dimensionnal fashion. As the main consequence,
25   * all operations applied to an array are performed coefficient wise. Furthermore,
26   * arrays support scalar math functions of the c++ standard library (e.g., std::sin(x)), and convenient
27   * constructors allowing to easily write generic code working for both scalar values
28   * and arrays.
29   *
30   * This class is the base that is inherited by all array expression types.
31   *
32   * \tparam Derived is the derived type, e.g., an array or an expression type.
33   *
34   * This class can be extended with the help of the plugin mechanism described on the page
35   * \ref TopicCustomizing_Plugins by defining the preprocessor symbol \c EIGEN_ARRAYBASE_PLUGIN.
36   *
37   * \sa class MatrixBase, \ref TopicClassHierarchy
38   */
39 template<typename Derived> class ArrayBase
40   : public DenseBase<Derived>
41 {
42   public:
43 #ifndef EIGEN_PARSED_BY_DOXYGEN
44     /** The base class for a given storage type. */
45     typedef ArrayBase StorageBaseType;
46 
47     typedef ArrayBase Eigen_BaseClassForSpecializationOfGlobalMathFuncImpl;
48 
49     typedef typename internal::traits<Derived>::StorageKind StorageKind;
50     typedef typename internal::traits<Derived>::Scalar Scalar;
51     typedef typename internal::packet_traits<Scalar>::type PacketScalar;
52     typedef typename NumTraits<Scalar>::Real RealScalar;
53 
54     typedef DenseBase<Derived> Base;
55     using Base::RowsAtCompileTime;
56     using Base::ColsAtCompileTime;
57     using Base::SizeAtCompileTime;
58     using Base::MaxRowsAtCompileTime;
59     using Base::MaxColsAtCompileTime;
60     using Base::MaxSizeAtCompileTime;
61     using Base::IsVectorAtCompileTime;
62     using Base::Flags;
63 
64     using Base::derived;
65     using Base::const_cast_derived;
66     using Base::rows;
67     using Base::cols;
68     using Base::size;
69     using Base::coeff;
70     using Base::coeffRef;
71     using Base::lazyAssign;
72     using Base::operator=;
73     using Base::operator+=;
74     using Base::operator-=;
75     using Base::operator*=;
76     using Base::operator/=;
77 
78     typedef typename Base::CoeffReturnType CoeffReturnType;
79 
80 #endif // not EIGEN_PARSED_BY_DOXYGEN
81 
82 #ifndef EIGEN_PARSED_BY_DOXYGEN
83     typedef typename Base::PlainObject PlainObject;
84 
85     /** \internal Represents a matrix with all coefficients equal to one another*/
86     typedef CwiseNullaryOp<internal::scalar_constant_op<Scalar>,PlainObject> ConstantReturnType;
87 #endif // not EIGEN_PARSED_BY_DOXYGEN
88 
89 #define EIGEN_CURRENT_STORAGE_BASE_CLASS Eigen::ArrayBase
90 #define EIGEN_DOC_UNARY_ADDONS(X,Y)
91 #   include "../plugins/CommonCwiseUnaryOps.h"
92 #   include "../plugins/MatrixCwiseUnaryOps.h"
93 #   include "../plugins/ArrayCwiseUnaryOps.h"
94 #   include "../plugins/CommonCwiseBinaryOps.h"
95 #   include "../plugins/MatrixCwiseBinaryOps.h"
96 #   include "../plugins/ArrayCwiseBinaryOps.h"
97 #   ifdef EIGEN_ARRAYBASE_PLUGIN
98 #     include EIGEN_ARRAYBASE_PLUGIN
99 #   endif
100 #undef EIGEN_CURRENT_STORAGE_BASE_CLASS
101 #undef EIGEN_DOC_UNARY_ADDONS
102 
103     /** Special case of the template operator=, in order to prevent the compiler
104       * from generating a default operator= (issue hit with g++ 4.1)
105       */
106     EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
107     Derived& operator=(const ArrayBase& other)
108     {
109       internal::call_assignment(derived(), other.derived());
110       return derived();
111     }
112 
113     /** Set all the entries to \a value.
114       * \sa DenseBase::setConstant(), DenseBase::fill() */
115     EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
116     Derived& operator=(const Scalar &value)
117     { Base::setConstant(value); return derived(); }
118 
119     EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
120     Derived& operator+=(const Scalar& scalar);
121     EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
122     Derived& operator-=(const Scalar& scalar);
123 
124     template<typename OtherDerived>
125     EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
126     Derived& operator+=(const ArrayBase<OtherDerived>& other);
127     template<typename OtherDerived>
128     EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
129     Derived& operator-=(const ArrayBase<OtherDerived>& other);
130 
131     template<typename OtherDerived>
132     EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
133     Derived& operator*=(const ArrayBase<OtherDerived>& other);
134 
135     template<typename OtherDerived>
136     EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
137     Derived& operator/=(const ArrayBase<OtherDerived>& other);
138 
139   public:
140     EIGEN_DEVICE_FUNC
array()141     ArrayBase<Derived>& array() { return *this; }
142     EIGEN_DEVICE_FUNC
array()143     const ArrayBase<Derived>& array() const { return *this; }
144 
145     /** \returns an \link Eigen::MatrixBase Matrix \endlink expression of this array
146       * \sa MatrixBase::array() */
147     EIGEN_DEVICE_FUNC
matrix()148     MatrixWrapper<Derived> matrix() { return MatrixWrapper<Derived>(derived()); }
149     EIGEN_DEVICE_FUNC
matrix()150     const MatrixWrapper<const Derived> matrix() const { return MatrixWrapper<const Derived>(derived()); }
151 
152 //     template<typename Dest>
153 //     inline void evalTo(Dest& dst) const { dst = matrix(); }
154 
155   protected:
156     EIGEN_DEVICE_FUNC
ArrayBase()157     ArrayBase() : Base() {}
158 
159   private:
160     explicit ArrayBase(Index);
161     ArrayBase(Index,Index);
162     template<typename OtherDerived> explicit ArrayBase(const ArrayBase<OtherDerived>&);
163   protected:
164     // mixing arrays and matrices is not legal
165     template<typename OtherDerived> Derived& operator+=(const MatrixBase<OtherDerived>& )
166     {EIGEN_STATIC_ASSERT(std::ptrdiff_t(sizeof(typename OtherDerived::Scalar))==-1,YOU_CANNOT_MIX_ARRAYS_AND_MATRICES); return *this;}
167     // mixing arrays and matrices is not legal
168     template<typename OtherDerived> Derived& operator-=(const MatrixBase<OtherDerived>& )
169     {EIGEN_STATIC_ASSERT(std::ptrdiff_t(sizeof(typename OtherDerived::Scalar))==-1,YOU_CANNOT_MIX_ARRAYS_AND_MATRICES); return *this;}
170 };
171 
172 /** replaces \c *this by \c *this - \a other.
173   *
174   * \returns a reference to \c *this
175   */
176 template<typename Derived>
177 template<typename OtherDerived>
178 EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Derived &
179 ArrayBase<Derived>::operator-=(const ArrayBase<OtherDerived> &other)
180 {
181   call_assignment(derived(), other.derived(), internal::sub_assign_op<Scalar,typename OtherDerived::Scalar>());
182   return derived();
183 }
184 
185 /** replaces \c *this by \c *this + \a other.
186   *
187   * \returns a reference to \c *this
188   */
189 template<typename Derived>
190 template<typename OtherDerived>
191 EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Derived &
192 ArrayBase<Derived>::operator+=(const ArrayBase<OtherDerived>& other)
193 {
194   call_assignment(derived(), other.derived(), internal::add_assign_op<Scalar,typename OtherDerived::Scalar>());
195   return derived();
196 }
197 
198 /** replaces \c *this by \c *this * \a other coefficient wise.
199   *
200   * \returns a reference to \c *this
201   */
202 template<typename Derived>
203 template<typename OtherDerived>
204 EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Derived &
205 ArrayBase<Derived>::operator*=(const ArrayBase<OtherDerived>& other)
206 {
207   call_assignment(derived(), other.derived(), internal::mul_assign_op<Scalar,typename OtherDerived::Scalar>());
208   return derived();
209 }
210 
211 /** replaces \c *this by \c *this / \a other coefficient wise.
212   *
213   * \returns a reference to \c *this
214   */
215 template<typename Derived>
216 template<typename OtherDerived>
217 EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Derived &
218 ArrayBase<Derived>::operator/=(const ArrayBase<OtherDerived>& other)
219 {
220   call_assignment(derived(), other.derived(), internal::div_assign_op<Scalar,typename OtherDerived::Scalar>());
221   return derived();
222 }
223 
224 } // end namespace Eigen
225 
226 #endif // EIGEN_ARRAYBASE_H
227