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      1 // This file is part of Eigen, a lightweight C++ template library
      2 // for linear algebra.
      3 //
      4 // Copyright (C) 2008-2009 Gael Guennebaud <gael.guennebaud (at) inria.fr>
      5 // Copyright (C) 2006-2008 Benoit Jacob <jacob.benoit.1 (at) gmail.com>
      6 //
      7 // This Source Code Form is subject to the terms of the Mozilla
      8 // Public License v. 2.0. If a copy of the MPL was not distributed
      9 // with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
     10 
     11 #ifndef EIGEN_DENSESTORAGEBASE_H
     12 #define EIGEN_DENSESTORAGEBASE_H
     13 
     14 #ifdef EIGEN_INITIALIZE_MATRICES_BY_ZERO
     15 # define EIGEN_INITIALIZE_BY_ZERO_IF_THAT_OPTION_IS_ENABLED for(int i=0;i<base().size();++i) coeffRef(i)=Scalar(0);
     16 #else
     17 # define EIGEN_INITIALIZE_BY_ZERO_IF_THAT_OPTION_IS_ENABLED
     18 #endif
     19 
     20 namespace Eigen {
     21 
     22 namespace internal {
     23 
     24 template<typename Index>
     25 EIGEN_ALWAYS_INLINE void check_rows_cols_for_overflow(Index rows, Index cols)
     26 {
     27   // http://hg.mozilla.org/mozilla-central/file/6c8a909977d3/xpcom/ds/CheckedInt.h#l242
     28   // we assume Index is signed
     29   Index max_index = (size_t(1) << (8 * sizeof(Index) - 1)) - 1; // assume Index is signed
     30   bool error = (rows < 0  || cols < 0)  ? true
     31              : (rows == 0 || cols == 0) ? false
     32                                         : (rows > max_index / cols);
     33   if (error)
     34     throw_std_bad_alloc();
     35 }
     36 
     37 template <typename Derived, typename OtherDerived = Derived, bool IsVector = bool(Derived::IsVectorAtCompileTime)> struct conservative_resize_like_impl;
     38 
     39 template<typename MatrixTypeA, typename MatrixTypeB, bool SwapPointers> struct matrix_swap_impl;
     40 
     41 } // end namespace internal
     42 
     43 /** \class PlainObjectBase
     44   * \brief %Dense storage base class for matrices and arrays.
     45   *
     46   * This class can be extended with the help of the plugin mechanism described on the page
     47   * \ref TopicCustomizingEigen by defining the preprocessor symbol \c EIGEN_PLAINOBJECTBASE_PLUGIN.
     48   *
     49   * \sa \ref TopicClassHierarchy
     50   */
     51 #ifdef EIGEN_PARSED_BY_DOXYGEN
     52 namespace internal {
     53 
     54 // this is a warkaround to doxygen not being able to understand the inheritence logic
     55 // when it is hidden by the dense_xpr_base helper struct.
     56 template<typename Derived> struct dense_xpr_base_dispatcher_for_doxygen;// : public MatrixBase<Derived> {};
     57 /** This class is just a workaround for Doxygen and it does not not actually exist. */
     58 template<typename _Scalar, int _Rows, int _Cols, int _Options, int _MaxRows, int _MaxCols>
     59 struct dense_xpr_base_dispatcher_for_doxygen<Matrix<_Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols> >
     60     : public MatrixBase<Matrix<_Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols> > {};
     61 /** This class is just a workaround for Doxygen and it does not not actually exist. */
     62 template<typename _Scalar, int _Rows, int _Cols, int _Options, int _MaxRows, int _MaxCols>
     63 struct dense_xpr_base_dispatcher_for_doxygen<Array<_Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols> >
     64     : public ArrayBase<Array<_Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols> > {};
     65 
     66 } // namespace internal
     67 
     68 template<typename Derived>
     69 class PlainObjectBase : public internal::dense_xpr_base_dispatcher_for_doxygen<Derived>
     70 #else
     71 template<typename Derived>
     72 class PlainObjectBase : public internal::dense_xpr_base<Derived>::type
     73 #endif
     74 {
     75   public:
     76     enum { Options = internal::traits<Derived>::Options };
     77     typedef typename internal::dense_xpr_base<Derived>::type Base;
     78 
     79     typedef typename internal::traits<Derived>::StorageKind StorageKind;
     80     typedef typename internal::traits<Derived>::Index Index;
     81     typedef typename internal::traits<Derived>::Scalar Scalar;
     82     typedef typename internal::packet_traits<Scalar>::type PacketScalar;
     83     typedef typename NumTraits<Scalar>::Real RealScalar;
     84     typedef Derived DenseType;
     85 
     86     using Base::RowsAtCompileTime;
     87     using Base::ColsAtCompileTime;
     88     using Base::SizeAtCompileTime;
     89     using Base::MaxRowsAtCompileTime;
     90     using Base::MaxColsAtCompileTime;
     91     using Base::MaxSizeAtCompileTime;
     92     using Base::IsVectorAtCompileTime;
     93     using Base::Flags;
     94 
     95     template<typename PlainObjectType, int MapOptions, typename StrideType> friend class Eigen::Map;
     96     friend  class Eigen::Map<Derived, Unaligned>;
     97     typedef Eigen::Map<Derived, Unaligned>  MapType;
     98     friend  class Eigen::Map<const Derived, Unaligned>;
     99     typedef const Eigen::Map<const Derived, Unaligned> ConstMapType;
    100     friend  class Eigen::Map<Derived, Aligned>;
    101     typedef Eigen::Map<Derived, Aligned> AlignedMapType;
    102     friend  class Eigen::Map<const Derived, Aligned>;
    103     typedef const Eigen::Map<const Derived, Aligned> ConstAlignedMapType;
    104     template<typename StrideType> struct StridedMapType { typedef Eigen::Map<Derived, Unaligned, StrideType> type; };
    105     template<typename StrideType> struct StridedConstMapType { typedef Eigen::Map<const Derived, Unaligned, StrideType> type; };
    106     template<typename StrideType> struct StridedAlignedMapType { typedef Eigen::Map<Derived, Aligned, StrideType> type; };
    107     template<typename StrideType> struct StridedConstAlignedMapType { typedef Eigen::Map<const Derived, Aligned, StrideType> type; };
    108 
    109   protected:
    110     DenseStorage<Scalar, Base::MaxSizeAtCompileTime, Base::RowsAtCompileTime, Base::ColsAtCompileTime, Options> m_storage;
    111 
    112   public:
    113     enum { NeedsToAlign = SizeAtCompileTime != Dynamic && (internal::traits<Derived>::Flags & AlignedBit) != 0 };
    114     EIGEN_MAKE_ALIGNED_OPERATOR_NEW_IF(NeedsToAlign)
    115 
    116     Base& base() { return *static_cast<Base*>(this); }
    117     const Base& base() const { return *static_cast<const Base*>(this); }
    118 
    119     EIGEN_STRONG_INLINE Index rows() const { return m_storage.rows(); }
    120     EIGEN_STRONG_INLINE Index cols() const { return m_storage.cols(); }
    121 
    122     EIGEN_STRONG_INLINE const Scalar& coeff(Index row, Index col) const
    123     {
    124       if(Flags & RowMajorBit)
    125         return m_storage.data()[col + row * m_storage.cols()];
    126       else // column-major
    127         return m_storage.data()[row + col * m_storage.rows()];
    128     }
    129 
    130     EIGEN_STRONG_INLINE const Scalar& coeff(Index index) const
    131     {
    132       return m_storage.data()[index];
    133     }
    134 
    135     EIGEN_STRONG_INLINE Scalar& coeffRef(Index row, Index col)
    136     {
    137       if(Flags & RowMajorBit)
    138         return m_storage.data()[col + row * m_storage.cols()];
    139       else // column-major
    140         return m_storage.data()[row + col * m_storage.rows()];
    141     }
    142 
    143     EIGEN_STRONG_INLINE Scalar& coeffRef(Index index)
    144     {
    145       return m_storage.data()[index];
    146     }
    147 
    148     EIGEN_STRONG_INLINE const Scalar& coeffRef(Index row, Index col) const
    149     {
    150       if(Flags & RowMajorBit)
    151         return m_storage.data()[col + row * m_storage.cols()];
    152       else // column-major
    153         return m_storage.data()[row + col * m_storage.rows()];
    154     }
    155 
    156     EIGEN_STRONG_INLINE const Scalar& coeffRef(Index index) const
    157     {
    158       return m_storage.data()[index];
    159     }
    160 
    161     /** \internal */
    162     template<int LoadMode>
    163     EIGEN_STRONG_INLINE PacketScalar packet(Index row, Index col) const
    164     {
    165       return internal::ploadt<PacketScalar, LoadMode>
    166                (m_storage.data() + (Flags & RowMajorBit
    167                                    ? col + row * m_storage.cols()
    168                                    : row + col * m_storage.rows()));
    169     }
    170 
    171     /** \internal */
    172     template<int LoadMode>
    173     EIGEN_STRONG_INLINE PacketScalar packet(Index index) const
    174     {
    175       return internal::ploadt<PacketScalar, LoadMode>(m_storage.data() + index);
    176     }
    177 
    178     /** \internal */
    179     template<int StoreMode>
    180     EIGEN_STRONG_INLINE void writePacket(Index row, Index col, const PacketScalar& x)
    181     {
    182       internal::pstoret<Scalar, PacketScalar, StoreMode>
    183               (m_storage.data() + (Flags & RowMajorBit
    184                                    ? col + row * m_storage.cols()
    185                                    : row + col * m_storage.rows()), x);
    186     }
    187 
    188     /** \internal */
    189     template<int StoreMode>
    190     EIGEN_STRONG_INLINE void writePacket(Index index, const PacketScalar& x)
    191     {
    192       internal::pstoret<Scalar, PacketScalar, StoreMode>(m_storage.data() + index, x);
    193     }
    194 
    195     /** \returns a const pointer to the data array of this matrix */
    196     EIGEN_STRONG_INLINE const Scalar *data() const
    197     { return m_storage.data(); }
    198 
    199     /** \returns a pointer to the data array of this matrix */
    200     EIGEN_STRONG_INLINE Scalar *data()
    201     { return m_storage.data(); }
    202 
    203     /** Resizes \c *this to a \a rows x \a cols matrix.
    204       *
    205       * This method is intended for dynamic-size matrices, although it is legal to call it on any
    206       * matrix as long as fixed dimensions are left unchanged. If you only want to change the number
    207       * of rows and/or of columns, you can use resize(NoChange_t, Index), resize(Index, NoChange_t).
    208       *
    209       * If the current number of coefficients of \c *this exactly matches the
    210       * product \a rows * \a cols, then no memory allocation is performed and
    211       * the current values are left unchanged. In all other cases, including
    212       * shrinking, the data is reallocated and all previous values are lost.
    213       *
    214       * Example: \include Matrix_resize_int_int.cpp
    215       * Output: \verbinclude Matrix_resize_int_int.out
    216       *
    217       * \sa resize(Index) for vectors, resize(NoChange_t, Index), resize(Index, NoChange_t)
    218       */
    219     EIGEN_STRONG_INLINE void resize(Index rows, Index cols)
    220     {
    221       #ifdef EIGEN_INITIALIZE_MATRICES_BY_ZERO
    222         internal::check_rows_cols_for_overflow(rows, cols);
    223         Index size = rows*cols;
    224         bool size_changed = size != this->size();
    225         m_storage.resize(size, rows, cols);
    226         if(size_changed) EIGEN_INITIALIZE_BY_ZERO_IF_THAT_OPTION_IS_ENABLED
    227       #else
    228         internal::check_rows_cols_for_overflow(rows, cols);
    229         m_storage.resize(rows*cols, rows, cols);
    230       #endif
    231     }
    232 
    233     /** Resizes \c *this to a vector of length \a size
    234       *
    235       * \only_for_vectors. This method does not work for
    236       * partially dynamic matrices when the static dimension is anything other
    237       * than 1. For example it will not work with Matrix<double, 2, Dynamic>.
    238       *
    239       * Example: \include Matrix_resize_int.cpp
    240       * Output: \verbinclude Matrix_resize_int.out
    241       *
    242       * \sa resize(Index,Index), resize(NoChange_t, Index), resize(Index, NoChange_t)
    243       */
    244     inline void resize(Index size)
    245     {
    246       EIGEN_STATIC_ASSERT_VECTOR_ONLY(PlainObjectBase)
    247       eigen_assert(SizeAtCompileTime == Dynamic || SizeAtCompileTime == size);
    248       #ifdef EIGEN_INITIALIZE_MATRICES_BY_ZERO
    249         bool size_changed = size != this->size();
    250       #endif
    251       if(RowsAtCompileTime == 1)
    252         m_storage.resize(size, 1, size);
    253       else
    254         m_storage.resize(size, size, 1);
    255       #ifdef EIGEN_INITIALIZE_MATRICES_BY_ZERO
    256         if(size_changed) EIGEN_INITIALIZE_BY_ZERO_IF_THAT_OPTION_IS_ENABLED
    257       #endif
    258     }
    259 
    260     /** Resizes the matrix, changing only the number of columns. For the parameter of type NoChange_t, just pass the special value \c NoChange
    261       * as in the example below.
    262       *
    263       * Example: \include Matrix_resize_NoChange_int.cpp
    264       * Output: \verbinclude Matrix_resize_NoChange_int.out
    265       *
    266       * \sa resize(Index,Index)
    267       */
    268     inline void resize(NoChange_t, Index cols)
    269     {
    270       resize(rows(), cols);
    271     }
    272 
    273     /** Resizes the matrix, changing only the number of rows. For the parameter of type NoChange_t, just pass the special value \c NoChange
    274       * as in the example below.
    275       *
    276       * Example: \include Matrix_resize_int_NoChange.cpp
    277       * Output: \verbinclude Matrix_resize_int_NoChange.out
    278       *
    279       * \sa resize(Index,Index)
    280       */
    281     inline void resize(Index rows, NoChange_t)
    282     {
    283       resize(rows, cols());
    284     }
    285 
    286     /** Resizes \c *this to have the same dimensions as \a other.
    287       * Takes care of doing all the checking that's needed.
    288       *
    289       * Note that copying a row-vector into a vector (and conversely) is allowed.
    290       * The resizing, if any, is then done in the appropriate way so that row-vectors
    291       * remain row-vectors and vectors remain vectors.
    292       */
    293     template<typename OtherDerived>
    294     EIGEN_STRONG_INLINE void resizeLike(const EigenBase<OtherDerived>& _other)
    295     {
    296       const OtherDerived& other = _other.derived();
    297       internal::check_rows_cols_for_overflow(other.rows(), other.cols());
    298       const Index othersize = other.rows()*other.cols();
    299       if(RowsAtCompileTime == 1)
    300       {
    301         eigen_assert(other.rows() == 1 || other.cols() == 1);
    302         resize(1, othersize);
    303       }
    304       else if(ColsAtCompileTime == 1)
    305       {
    306         eigen_assert(other.rows() == 1 || other.cols() == 1);
    307         resize(othersize, 1);
    308       }
    309       else resize(other.rows(), other.cols());
    310     }
    311 
    312     /** Resizes the matrix to \a rows x \a cols while leaving old values untouched.
    313       *
    314       * The method is intended for matrices of dynamic size. If you only want to change the number
    315       * of rows and/or of columns, you can use conservativeResize(NoChange_t, Index) or
    316       * conservativeResize(Index, NoChange_t).
    317       *
    318       * Matrices are resized relative to the top-left element. In case values need to be
    319       * appended to the matrix they will be uninitialized.
    320       */
    321     EIGEN_STRONG_INLINE void conservativeResize(Index rows, Index cols)
    322     {
    323       internal::conservative_resize_like_impl<Derived>::run(*this, rows, cols);
    324     }
    325 
    326     /** Resizes the matrix to \a rows x \a cols while leaving old values untouched.
    327       *
    328       * As opposed to conservativeResize(Index rows, Index cols), this version leaves
    329       * the number of columns unchanged.
    330       *
    331       * In case the matrix is growing, new rows will be uninitialized.
    332       */
    333     EIGEN_STRONG_INLINE void conservativeResize(Index rows, NoChange_t)
    334     {
    335       // Note: see the comment in conservativeResize(Index,Index)
    336       conservativeResize(rows, cols());
    337     }
    338 
    339     /** Resizes the matrix to \a rows x \a cols while leaving old values untouched.
    340       *
    341       * As opposed to conservativeResize(Index rows, Index cols), this version leaves
    342       * the number of rows unchanged.
    343       *
    344       * In case the matrix is growing, new columns will be uninitialized.
    345       */
    346     EIGEN_STRONG_INLINE void conservativeResize(NoChange_t, Index cols)
    347     {
    348       // Note: see the comment in conservativeResize(Index,Index)
    349       conservativeResize(rows(), cols);
    350     }
    351 
    352     /** Resizes the vector to \a size while retaining old values.
    353       *
    354       * \only_for_vectors. This method does not work for
    355       * partially dynamic matrices when the static dimension is anything other
    356       * than 1. For example it will not work with Matrix<double, 2, Dynamic>.
    357       *
    358       * When values are appended, they will be uninitialized.
    359       */
    360     EIGEN_STRONG_INLINE void conservativeResize(Index size)
    361     {
    362       internal::conservative_resize_like_impl<Derived>::run(*this, size);
    363     }
    364 
    365     /** Resizes the matrix to \a rows x \a cols of \c other, while leaving old values untouched.
    366       *
    367       * The method is intended for matrices of dynamic size. If you only want to change the number
    368       * of rows and/or of columns, you can use conservativeResize(NoChange_t, Index) or
    369       * conservativeResize(Index, NoChange_t).
    370       *
    371       * Matrices are resized relative to the top-left element. In case values need to be
    372       * appended to the matrix they will copied from \c other.
    373       */
    374     template<typename OtherDerived>
    375     EIGEN_STRONG_INLINE void conservativeResizeLike(const DenseBase<OtherDerived>& other)
    376     {
    377       internal::conservative_resize_like_impl<Derived,OtherDerived>::run(*this, other);
    378     }
    379 
    380     /** This is a special case of the templated operator=. Its purpose is to
    381       * prevent a default operator= from hiding the templated operator=.
    382       */
    383     EIGEN_STRONG_INLINE Derived& operator=(const PlainObjectBase& other)
    384     {
    385       return _set(other);
    386     }
    387 
    388     /** \sa MatrixBase::lazyAssign() */
    389     template<typename OtherDerived>
    390     EIGEN_STRONG_INLINE Derived& lazyAssign(const DenseBase<OtherDerived>& other)
    391     {
    392       _resize_to_match(other);
    393       return Base::lazyAssign(other.derived());
    394     }
    395 
    396     template<typename OtherDerived>
    397     EIGEN_STRONG_INLINE Derived& operator=(const ReturnByValue<OtherDerived>& func)
    398     {
    399       resize(func.rows(), func.cols());
    400       return Base::operator=(func);
    401     }
    402 
    403     EIGEN_STRONG_INLINE explicit PlainObjectBase() : m_storage()
    404     {
    405 //       _check_template_params();
    406 //       EIGEN_INITIALIZE_BY_ZERO_IF_THAT_OPTION_IS_ENABLED
    407     }
    408 
    409 #ifndef EIGEN_PARSED_BY_DOXYGEN
    410     // FIXME is it still needed ?
    411     /** \internal */
    412     PlainObjectBase(internal::constructor_without_unaligned_array_assert)
    413       : m_storage(internal::constructor_without_unaligned_array_assert())
    414     {
    415 //       _check_template_params(); EIGEN_INITIALIZE_BY_ZERO_IF_THAT_OPTION_IS_ENABLED
    416     }
    417 #endif
    418 
    419     EIGEN_STRONG_INLINE PlainObjectBase(Index size, Index rows, Index cols)
    420       : m_storage(size, rows, cols)
    421     {
    422 //       _check_template_params();
    423 //       EIGEN_INITIALIZE_BY_ZERO_IF_THAT_OPTION_IS_ENABLED
    424     }
    425 
    426     /** \copydoc MatrixBase::operator=(const EigenBase<OtherDerived>&)
    427       */
    428     template<typename OtherDerived>
    429     EIGEN_STRONG_INLINE Derived& operator=(const EigenBase<OtherDerived> &other)
    430     {
    431       _resize_to_match(other);
    432       Base::operator=(other.derived());
    433       return this->derived();
    434     }
    435 
    436     /** \sa MatrixBase::operator=(const EigenBase<OtherDerived>&) */
    437     template<typename OtherDerived>
    438     EIGEN_STRONG_INLINE PlainObjectBase(const EigenBase<OtherDerived> &other)
    439       : m_storage(other.derived().rows() * other.derived().cols(), other.derived().rows(), other.derived().cols())
    440     {
    441       _check_template_params();
    442       internal::check_rows_cols_for_overflow(other.derived().rows(), other.derived().cols());
    443       Base::operator=(other.derived());
    444     }
    445 
    446     /** \name Map
    447       * These are convenience functions returning Map objects. The Map() static functions return unaligned Map objects,
    448       * while the AlignedMap() functions return aligned Map objects and thus should be called only with 16-byte-aligned
    449       * \a data pointers.
    450       *
    451       * \see class Map
    452       */
    453     //@{
    454     static inline ConstMapType Map(const Scalar* data)
    455     { return ConstMapType(data); }
    456     static inline MapType Map(Scalar* data)
    457     { return MapType(data); }
    458     static inline ConstMapType Map(const Scalar* data, Index size)
    459     { return ConstMapType(data, size); }
    460     static inline MapType Map(Scalar* data, Index size)
    461     { return MapType(data, size); }
    462     static inline ConstMapType Map(const Scalar* data, Index rows, Index cols)
    463     { return ConstMapType(data, rows, cols); }
    464     static inline MapType Map(Scalar* data, Index rows, Index cols)
    465     { return MapType(data, rows, cols); }
    466 
    467     static inline ConstAlignedMapType MapAligned(const Scalar* data)
    468     { return ConstAlignedMapType(data); }
    469     static inline AlignedMapType MapAligned(Scalar* data)
    470     { return AlignedMapType(data); }
    471     static inline ConstAlignedMapType MapAligned(const Scalar* data, Index size)
    472     { return ConstAlignedMapType(data, size); }
    473     static inline AlignedMapType MapAligned(Scalar* data, Index size)
    474     { return AlignedMapType(data, size); }
    475     static inline ConstAlignedMapType MapAligned(const Scalar* data, Index rows, Index cols)
    476     { return ConstAlignedMapType(data, rows, cols); }
    477     static inline AlignedMapType MapAligned(Scalar* data, Index rows, Index cols)
    478     { return AlignedMapType(data, rows, cols); }
    479 
    480     template<int Outer, int Inner>
    481     static inline typename StridedConstMapType<Stride<Outer, Inner> >::type Map(const Scalar* data, const Stride<Outer, Inner>& stride)
    482     { return typename StridedConstMapType<Stride<Outer, Inner> >::type(data, stride); }
    483     template<int Outer, int Inner>
    484     static inline typename StridedMapType<Stride<Outer, Inner> >::type Map(Scalar* data, const Stride<Outer, Inner>& stride)
    485     { return typename StridedMapType<Stride<Outer, Inner> >::type(data, stride); }
    486     template<int Outer, int Inner>
    487     static inline typename StridedConstMapType<Stride<Outer, Inner> >::type Map(const Scalar* data, Index size, const Stride<Outer, Inner>& stride)
    488     { return typename StridedConstMapType<Stride<Outer, Inner> >::type(data, size, stride); }
    489     template<int Outer, int Inner>
    490     static inline typename StridedMapType<Stride<Outer, Inner> >::type Map(Scalar* data, Index size, const Stride<Outer, Inner>& stride)
    491     { return typename StridedMapType<Stride<Outer, Inner> >::type(data, size, stride); }
    492     template<int Outer, int Inner>
    493     static inline typename StridedConstMapType<Stride<Outer, Inner> >::type Map(const Scalar* data, Index rows, Index cols, const Stride<Outer, Inner>& stride)
    494     { return typename StridedConstMapType<Stride<Outer, Inner> >::type(data, rows, cols, stride); }
    495     template<int Outer, int Inner>
    496     static inline typename StridedMapType<Stride<Outer, Inner> >::type Map(Scalar* data, Index rows, Index cols, const Stride<Outer, Inner>& stride)
    497     { return typename StridedMapType<Stride<Outer, Inner> >::type(data, rows, cols, stride); }
    498 
    499     template<int Outer, int Inner>
    500     static inline typename StridedConstAlignedMapType<Stride<Outer, Inner> >::type MapAligned(const Scalar* data, const Stride<Outer, Inner>& stride)
    501     { return typename StridedConstAlignedMapType<Stride<Outer, Inner> >::type(data, stride); }
    502     template<int Outer, int Inner>
    503     static inline typename StridedAlignedMapType<Stride<Outer, Inner> >::type MapAligned(Scalar* data, const Stride<Outer, Inner>& stride)
    504     { return typename StridedAlignedMapType<Stride<Outer, Inner> >::type(data, stride); }
    505     template<int Outer, int Inner>
    506     static inline typename StridedConstAlignedMapType<Stride<Outer, Inner> >::type MapAligned(const Scalar* data, Index size, const Stride<Outer, Inner>& stride)
    507     { return typename StridedConstAlignedMapType<Stride<Outer, Inner> >::type(data, size, stride); }
    508     template<int Outer, int Inner>
    509     static inline typename StridedAlignedMapType<Stride<Outer, Inner> >::type MapAligned(Scalar* data, Index size, const Stride<Outer, Inner>& stride)
    510     { return typename StridedAlignedMapType<Stride<Outer, Inner> >::type(data, size, stride); }
    511     template<int Outer, int Inner>
    512     static inline typename StridedConstAlignedMapType<Stride<Outer, Inner> >::type MapAligned(const Scalar* data, Index rows, Index cols, const Stride<Outer, Inner>& stride)
    513     { return typename StridedConstAlignedMapType<Stride<Outer, Inner> >::type(data, rows, cols, stride); }
    514     template<int Outer, int Inner>
    515     static inline typename StridedAlignedMapType<Stride<Outer, Inner> >::type MapAligned(Scalar* data, Index rows, Index cols, const Stride<Outer, Inner>& stride)
    516     { return typename StridedAlignedMapType<Stride<Outer, Inner> >::type(data, rows, cols, stride); }
    517     //@}
    518 
    519     using Base::setConstant;
    520     Derived& setConstant(Index size, const Scalar& value);
    521     Derived& setConstant(Index rows, Index cols, const Scalar& value);
    522 
    523     using Base::setZero;
    524     Derived& setZero(Index size);
    525     Derived& setZero(Index rows, Index cols);
    526 
    527     using Base::setOnes;
    528     Derived& setOnes(Index size);
    529     Derived& setOnes(Index rows, Index cols);
    530 
    531     using Base::setRandom;
    532     Derived& setRandom(Index size);
    533     Derived& setRandom(Index rows, Index cols);
    534 
    535     #ifdef EIGEN_PLAINOBJECTBASE_PLUGIN
    536     #include EIGEN_PLAINOBJECTBASE_PLUGIN
    537     #endif
    538 
    539   protected:
    540     /** \internal Resizes *this in preparation for assigning \a other to it.
    541       * Takes care of doing all the checking that's needed.
    542       *
    543       * Note that copying a row-vector into a vector (and conversely) is allowed.
    544       * The resizing, if any, is then done in the appropriate way so that row-vectors
    545       * remain row-vectors and vectors remain vectors.
    546       */
    547     template<typename OtherDerived>
    548     EIGEN_STRONG_INLINE void _resize_to_match(const EigenBase<OtherDerived>& other)
    549     {
    550       #ifdef EIGEN_NO_AUTOMATIC_RESIZING
    551       eigen_assert((this->size()==0 || (IsVectorAtCompileTime ? (this->size() == other.size())
    552                  : (rows() == other.rows() && cols() == other.cols())))
    553         && "Size mismatch. Automatic resizing is disabled because EIGEN_NO_AUTOMATIC_RESIZING is defined");
    554       #else
    555       resizeLike(other);
    556       #endif
    557     }
    558 
    559     /**
    560       * \brief Copies the value of the expression \a other into \c *this with automatic resizing.
    561       *
    562       * *this might be resized to match the dimensions of \a other. If *this was a null matrix (not already initialized),
    563       * it will be initialized.
    564       *
    565       * Note that copying a row-vector into a vector (and conversely) is allowed.
    566       * The resizing, if any, is then done in the appropriate way so that row-vectors
    567       * remain row-vectors and vectors remain vectors.
    568       *
    569       * \sa operator=(const MatrixBase<OtherDerived>&), _set_noalias()
    570       *
    571       * \internal
    572       */
    573     template<typename OtherDerived>
    574     EIGEN_STRONG_INLINE Derived& _set(const DenseBase<OtherDerived>& other)
    575     {
    576       _set_selector(other.derived(), typename internal::conditional<static_cast<bool>(int(OtherDerived::Flags) & EvalBeforeAssigningBit), internal::true_type, internal::false_type>::type());
    577       return this->derived();
    578     }
    579 
    580     template<typename OtherDerived>
    581     EIGEN_STRONG_INLINE void _set_selector(const OtherDerived& other, const internal::true_type&) { _set_noalias(other.eval()); }
    582 
    583     template<typename OtherDerived>
    584     EIGEN_STRONG_INLINE void _set_selector(const OtherDerived& other, const internal::false_type&) { _set_noalias(other); }
    585 
    586     /** \internal Like _set() but additionally makes the assumption that no aliasing effect can happen (which
    587       * is the case when creating a new matrix) so one can enforce lazy evaluation.
    588       *
    589       * \sa operator=(const MatrixBase<OtherDerived>&), _set()
    590       */
    591     template<typename OtherDerived>
    592     EIGEN_STRONG_INLINE Derived& _set_noalias(const DenseBase<OtherDerived>& other)
    593     {
    594       // I don't think we need this resize call since the lazyAssign will anyways resize
    595       // and lazyAssign will be called by the assign selector.
    596       //_resize_to_match(other);
    597       // the 'false' below means to enforce lazy evaluation. We don't use lazyAssign() because
    598       // it wouldn't allow to copy a row-vector into a column-vector.
    599       return internal::assign_selector<Derived,OtherDerived,false>::run(this->derived(), other.derived());
    600     }
    601 
    602     template<typename T0, typename T1>
    603     EIGEN_STRONG_INLINE void _init2(Index rows, Index cols, typename internal::enable_if<Base::SizeAtCompileTime!=2,T0>::type* = 0)
    604     {
    605       EIGEN_STATIC_ASSERT(bool(NumTraits<T0>::IsInteger) &&
    606                           bool(NumTraits<T1>::IsInteger),
    607                           FLOATING_POINT_ARGUMENT_PASSED__INTEGER_WAS_EXPECTED)
    608       eigen_assert(rows >= 0 && (RowsAtCompileTime == Dynamic || RowsAtCompileTime == rows)
    609              && cols >= 0 && (ColsAtCompileTime == Dynamic || ColsAtCompileTime == cols));
    610       internal::check_rows_cols_for_overflow(rows, cols);
    611       m_storage.resize(rows*cols,rows,cols);
    612       EIGEN_INITIALIZE_BY_ZERO_IF_THAT_OPTION_IS_ENABLED
    613     }
    614     template<typename T0, typename T1>
    615     EIGEN_STRONG_INLINE void _init2(const Scalar& x, const Scalar& y, typename internal::enable_if<Base::SizeAtCompileTime==2,T0>::type* = 0)
    616     {
    617       EIGEN_STATIC_ASSERT_VECTOR_SPECIFIC_SIZE(PlainObjectBase, 2)
    618       m_storage.data()[0] = x;
    619       m_storage.data()[1] = y;
    620     }
    621 
    622     template<typename MatrixTypeA, typename MatrixTypeB, bool SwapPointers>
    623     friend struct internal::matrix_swap_impl;
    624 
    625     /** \internal generic implementation of swap for dense storage since for dynamic-sized matrices of same type it is enough to swap the
    626       * data pointers.
    627       */
    628     template<typename OtherDerived>
    629     void _swap(DenseBase<OtherDerived> const & other)
    630     {
    631       enum { SwapPointers = internal::is_same<Derived, OtherDerived>::value && Base::SizeAtCompileTime==Dynamic };
    632       internal::matrix_swap_impl<Derived, OtherDerived, bool(SwapPointers)>::run(this->derived(), other.const_cast_derived());
    633     }
    634 
    635   public:
    636 #ifndef EIGEN_PARSED_BY_DOXYGEN
    637     static EIGEN_STRONG_INLINE void _check_template_params()
    638     {
    639       EIGEN_STATIC_ASSERT((EIGEN_IMPLIES(MaxRowsAtCompileTime==1 && MaxColsAtCompileTime!=1, (Options&RowMajor)==RowMajor)
    640                         && EIGEN_IMPLIES(MaxColsAtCompileTime==1 && MaxRowsAtCompileTime!=1, (Options&RowMajor)==0)
    641                         && ((RowsAtCompileTime == Dynamic) || (RowsAtCompileTime >= 0))
    642                         && ((ColsAtCompileTime == Dynamic) || (ColsAtCompileTime >= 0))
    643                         && ((MaxRowsAtCompileTime == Dynamic) || (MaxRowsAtCompileTime >= 0))
    644                         && ((MaxColsAtCompileTime == Dynamic) || (MaxColsAtCompileTime >= 0))
    645                         && (MaxRowsAtCompileTime == RowsAtCompileTime || RowsAtCompileTime==Dynamic)
    646                         && (MaxColsAtCompileTime == ColsAtCompileTime || ColsAtCompileTime==Dynamic)
    647                         && (Options & (DontAlign|RowMajor)) == Options),
    648         INVALID_MATRIX_TEMPLATE_PARAMETERS)
    649     }
    650 #endif
    651 
    652 private:
    653     enum { ThisConstantIsPrivateInPlainObjectBase };
    654 };
    655 
    656 template <typename Derived, typename OtherDerived, bool IsVector>
    657 struct internal::conservative_resize_like_impl
    658 {
    659   typedef typename Derived::Index Index;
    660   static void run(DenseBase<Derived>& _this, Index rows, Index cols)
    661   {
    662     if (_this.rows() == rows && _this.cols() == cols) return;
    663     EIGEN_STATIC_ASSERT_DYNAMIC_SIZE(Derived)
    664 
    665     if ( ( Derived::IsRowMajor && _this.cols() == cols) || // row-major and we change only the number of rows
    666          (!Derived::IsRowMajor && _this.rows() == rows) )  // column-major and we change only the number of columns
    667     {
    668       internal::check_rows_cols_for_overflow(rows, cols);
    669       _this.derived().m_storage.conservativeResize(rows*cols,rows,cols);
    670     }
    671     else
    672     {
    673       // The storage order does not allow us to use reallocation.
    674       typename Derived::PlainObject tmp(rows,cols);
    675       const Index common_rows = (std::min)(rows, _this.rows());
    676       const Index common_cols = (std::min)(cols, _this.cols());
    677       tmp.block(0,0,common_rows,common_cols) = _this.block(0,0,common_rows,common_cols);
    678       _this.derived().swap(tmp);
    679     }
    680   }
    681 
    682   static void run(DenseBase<Derived>& _this, const DenseBase<OtherDerived>& other)
    683   {
    684     if (_this.rows() == other.rows() && _this.cols() == other.cols()) return;
    685 
    686     // Note: Here is space for improvement. Basically, for conservativeResize(Index,Index),
    687     // neither RowsAtCompileTime or ColsAtCompileTime must be Dynamic. If only one of the
    688     // dimensions is dynamic, one could use either conservativeResize(Index rows, NoChange_t) or
    689     // conservativeResize(NoChange_t, Index cols). For these methods new static asserts like
    690     // EIGEN_STATIC_ASSERT_DYNAMIC_ROWS and EIGEN_STATIC_ASSERT_DYNAMIC_COLS would be good.
    691     EIGEN_STATIC_ASSERT_DYNAMIC_SIZE(Derived)
    692     EIGEN_STATIC_ASSERT_DYNAMIC_SIZE(OtherDerived)
    693 
    694     if ( ( Derived::IsRowMajor && _this.cols() == other.cols()) || // row-major and we change only the number of rows
    695          (!Derived::IsRowMajor && _this.rows() == other.rows()) )  // column-major and we change only the number of columns
    696     {
    697       const Index new_rows = other.rows() - _this.rows();
    698       const Index new_cols = other.cols() - _this.cols();
    699       _this.derived().m_storage.conservativeResize(other.size(),other.rows(),other.cols());
    700       if (new_rows>0)
    701         _this.bottomRightCorner(new_rows, other.cols()) = other.bottomRows(new_rows);
    702       else if (new_cols>0)
    703         _this.bottomRightCorner(other.rows(), new_cols) = other.rightCols(new_cols);
    704     }
    705     else
    706     {
    707       // The storage order does not allow us to use reallocation.
    708       typename Derived::PlainObject tmp(other);
    709       const Index common_rows = (std::min)(tmp.rows(), _this.rows());
    710       const Index common_cols = (std::min)(tmp.cols(), _this.cols());
    711       tmp.block(0,0,common_rows,common_cols) = _this.block(0,0,common_rows,common_cols);
    712       _this.derived().swap(tmp);
    713     }
    714   }
    715 };
    716 
    717 namespace internal {
    718 
    719 template <typename Derived, typename OtherDerived>
    720 struct conservative_resize_like_impl<Derived,OtherDerived,true>
    721 {
    722   typedef typename Derived::Index Index;
    723   static void run(DenseBase<Derived>& _this, Index size)
    724   {
    725     const Index new_rows = Derived::RowsAtCompileTime==1 ? 1 : size;
    726     const Index new_cols = Derived::RowsAtCompileTime==1 ? size : 1;
    727     _this.derived().m_storage.conservativeResize(size,new_rows,new_cols);
    728   }
    729 
    730   static void run(DenseBase<Derived>& _this, const DenseBase<OtherDerived>& other)
    731   {
    732     if (_this.rows() == other.rows() && _this.cols() == other.cols()) return;
    733 
    734     const Index num_new_elements = other.size() - _this.size();
    735 
    736     const Index new_rows = Derived::RowsAtCompileTime==1 ? 1 : other.rows();
    737     const Index new_cols = Derived::RowsAtCompileTime==1 ? other.cols() : 1;
    738     _this.derived().m_storage.conservativeResize(other.size(),new_rows,new_cols);
    739 
    740     if (num_new_elements > 0)
    741       _this.tail(num_new_elements) = other.tail(num_new_elements);
    742   }
    743 };
    744 
    745 template<typename MatrixTypeA, typename MatrixTypeB, bool SwapPointers>
    746 struct matrix_swap_impl
    747 {
    748   static inline void run(MatrixTypeA& a, MatrixTypeB& b)
    749   {
    750     a.base().swap(b);
    751   }
    752 };
    753 
    754 template<typename MatrixTypeA, typename MatrixTypeB>
    755 struct matrix_swap_impl<MatrixTypeA, MatrixTypeB, true>
    756 {
    757   static inline void run(MatrixTypeA& a, MatrixTypeB& b)
    758   {
    759     static_cast<typename MatrixTypeA::Base&>(a).m_storage.swap(static_cast<typename MatrixTypeB::Base&>(b).m_storage);
    760   }
    761 };
    762 
    763 } // end namespace internal
    764 
    765 } // end namespace Eigen
    766 
    767 #endif // EIGEN_DENSESTORAGEBASE_H
    768