cart-elc

Source code for CART-ELC
git clone git://git.laack.co/cart-elc.git
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PlainObjectBase.h (49193B)


      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@inria.fr>
      5 // Copyright (C) 2006-2008 Benoit Jacob <jacob.benoit.1@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 #if defined(EIGEN_INITIALIZE_MATRICES_BY_ZERO)
     15 # define EIGEN_INITIALIZE_COEFFS
     16 # define EIGEN_INITIALIZE_COEFFS_IF_THAT_OPTION_IS_ENABLED for(Index i=0;i<base().size();++i) coeffRef(i)=Scalar(0);
     17 #elif defined(EIGEN_INITIALIZE_MATRICES_BY_NAN)
     18 # define EIGEN_INITIALIZE_COEFFS
     19 # define EIGEN_INITIALIZE_COEFFS_IF_THAT_OPTION_IS_ENABLED for(Index i=0;i<base().size();++i) coeffRef(i)=std::numeric_limits<Scalar>::quiet_NaN();
     20 #else
     21 # undef EIGEN_INITIALIZE_COEFFS
     22 # define EIGEN_INITIALIZE_COEFFS_IF_THAT_OPTION_IS_ENABLED
     23 #endif
     24 
     25 namespace Eigen {
     26 
     27 namespace internal {
     28 
     29 template<int MaxSizeAtCompileTime> struct check_rows_cols_for_overflow {
     30   template<typename Index>
     31   EIGEN_DEVICE_FUNC
     32   static EIGEN_ALWAYS_INLINE void run(Index, Index)
     33   {
     34   }
     35 };
     36 
     37 template<> struct check_rows_cols_for_overflow<Dynamic> {
     38   template<typename Index>
     39   EIGEN_DEVICE_FUNC
     40   static EIGEN_ALWAYS_INLINE void run(Index rows, Index cols)
     41   {
     42     // http://hg.mozilla.org/mozilla-central/file/6c8a909977d3/xpcom/ds/CheckedInt.h#l242
     43     // we assume Index is signed
     44     Index max_index = (std::size_t(1) << (8 * sizeof(Index) - 1)) - 1; // assume Index is signed
     45     bool error = (rows == 0 || cols == 0) ? false
     46                : (rows > max_index / cols);
     47     if (error)
     48       throw_std_bad_alloc();
     49   }
     50 };
     51 
     52 template <typename Derived,
     53           typename OtherDerived = Derived,
     54           bool IsVector = bool(Derived::IsVectorAtCompileTime) && bool(OtherDerived::IsVectorAtCompileTime)>
     55 struct conservative_resize_like_impl;
     56 
     57 template<typename MatrixTypeA, typename MatrixTypeB, bool SwapPointers> struct matrix_swap_impl;
     58 
     59 } // end namespace internal
     60 
     61 #ifdef EIGEN_PARSED_BY_DOXYGEN
     62 namespace doxygen {
     63 
     64 // This is a workaround to doxygen not being able to understand the inheritance logic
     65 // when it is hidden by the dense_xpr_base helper struct.
     66 // Moreover, doxygen fails to include members that are not documented in the declaration body of
     67 // MatrixBase if we inherits MatrixBase<Matrix<_Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols> >,
     68 // this is why we simply inherits MatrixBase, though this does not make sense.
     69 
     70 /** This class is just a workaround for Doxygen and it does not not actually exist. */
     71 template<typename Derived> struct dense_xpr_base_dispatcher;
     72 /** This class is just a workaround for Doxygen and it does not not actually exist. */
     73 template<typename _Scalar, int _Rows, int _Cols, int _Options, int _MaxRows, int _MaxCols>
     74 struct dense_xpr_base_dispatcher<Matrix<_Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols> >
     75     : public MatrixBase {};
     76 /** This class is just a workaround for Doxygen and it does not not actually exist. */
     77 template<typename _Scalar, int _Rows, int _Cols, int _Options, int _MaxRows, int _MaxCols>
     78 struct dense_xpr_base_dispatcher<Array<_Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols> >
     79     : public ArrayBase {};
     80 
     81 } // namespace doxygen
     82 
     83 /** \class PlainObjectBase
     84   * \ingroup Core_Module
     85   * \brief %Dense storage base class for matrices and arrays.
     86   *
     87   * This class can be extended with the help of the plugin mechanism described on the page
     88   * \ref TopicCustomizing_Plugins by defining the preprocessor symbol \c EIGEN_PLAINOBJECTBASE_PLUGIN.
     89   *
     90   * \tparam Derived is the derived type, e.g., a Matrix or Array
     91   *
     92   * \sa \ref TopicClassHierarchy
     93   */
     94 template<typename Derived>
     95 class PlainObjectBase : public doxygen::dense_xpr_base_dispatcher<Derived>
     96 #else
     97 template<typename Derived>
     98 class PlainObjectBase : public internal::dense_xpr_base<Derived>::type
     99 #endif
    100 {
    101   public:
    102     enum { Options = internal::traits<Derived>::Options };
    103     typedef typename internal::dense_xpr_base<Derived>::type Base;
    104 
    105     typedef typename internal::traits<Derived>::StorageKind StorageKind;
    106     typedef typename internal::traits<Derived>::Scalar Scalar;
    107 
    108     typedef typename internal::packet_traits<Scalar>::type PacketScalar;
    109     typedef typename NumTraits<Scalar>::Real RealScalar;
    110     typedef Derived DenseType;
    111 
    112     using Base::RowsAtCompileTime;
    113     using Base::ColsAtCompileTime;
    114     using Base::SizeAtCompileTime;
    115     using Base::MaxRowsAtCompileTime;
    116     using Base::MaxColsAtCompileTime;
    117     using Base::MaxSizeAtCompileTime;
    118     using Base::IsVectorAtCompileTime;
    119     using Base::Flags;
    120 
    121     typedef Eigen::Map<Derived, Unaligned>  MapType;
    122     typedef const Eigen::Map<const Derived, Unaligned> ConstMapType;
    123     typedef Eigen::Map<Derived, AlignedMax> AlignedMapType;
    124     typedef const Eigen::Map<const Derived, AlignedMax> ConstAlignedMapType;
    125     template<typename StrideType> struct StridedMapType { typedef Eigen::Map<Derived, Unaligned, StrideType> type; };
    126     template<typename StrideType> struct StridedConstMapType { typedef Eigen::Map<const Derived, Unaligned, StrideType> type; };
    127     template<typename StrideType> struct StridedAlignedMapType { typedef Eigen::Map<Derived, AlignedMax, StrideType> type; };
    128     template<typename StrideType> struct StridedConstAlignedMapType { typedef Eigen::Map<const Derived, AlignedMax, StrideType> type; };
    129 
    130   protected:
    131     DenseStorage<Scalar, Base::MaxSizeAtCompileTime, Base::RowsAtCompileTime, Base::ColsAtCompileTime, Options> m_storage;
    132 
    133   public:
    134     enum { NeedsToAlign = (SizeAtCompileTime != Dynamic) && (internal::traits<Derived>::Alignment>0) };
    135     EIGEN_MAKE_ALIGNED_OPERATOR_NEW_IF(NeedsToAlign)
    136 
    137     EIGEN_DEVICE_FUNC
    138     Base& base() { return *static_cast<Base*>(this); }
    139     EIGEN_DEVICE_FUNC
    140     const Base& base() const { return *static_cast<const Base*>(this); }
    141 
    142     EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE EIGEN_CONSTEXPR
    143     Index rows() const EIGEN_NOEXCEPT { return m_storage.rows(); }
    144     EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE EIGEN_CONSTEXPR
    145     Index cols() const EIGEN_NOEXCEPT { return m_storage.cols(); }
    146 
    147     /** This is an overloaded version of DenseCoeffsBase<Derived,ReadOnlyAccessors>::coeff(Index,Index) const
    148       * provided to by-pass the creation of an evaluator of the expression, thus saving compilation efforts.
    149       *
    150       * See DenseCoeffsBase<Derived,ReadOnlyAccessors>::coeff(Index) const for details. */
    151     EIGEN_DEVICE_FUNC
    152     EIGEN_STRONG_INLINE const Scalar& coeff(Index rowId, Index colId) const
    153     {
    154       if(Flags & RowMajorBit)
    155         return m_storage.data()[colId + rowId * m_storage.cols()];
    156       else // column-major
    157         return m_storage.data()[rowId + colId * m_storage.rows()];
    158     }
    159 
    160     /** This is an overloaded version of DenseCoeffsBase<Derived,ReadOnlyAccessors>::coeff(Index) const
    161       * provided to by-pass the creation of an evaluator of the expression, thus saving compilation efforts.
    162       *
    163       * See DenseCoeffsBase<Derived,ReadOnlyAccessors>::coeff(Index) const for details. */
    164     EIGEN_DEVICE_FUNC
    165     EIGEN_STRONG_INLINE const Scalar& coeff(Index index) const
    166     {
    167       return m_storage.data()[index];
    168     }
    169 
    170     /** This is an overloaded version of DenseCoeffsBase<Derived,WriteAccessors>::coeffRef(Index,Index) const
    171       * provided to by-pass the creation of an evaluator of the expression, thus saving compilation efforts.
    172       *
    173       * See DenseCoeffsBase<Derived,WriteAccessors>::coeffRef(Index,Index) const for details. */
    174     EIGEN_DEVICE_FUNC
    175     EIGEN_STRONG_INLINE Scalar& coeffRef(Index rowId, Index colId)
    176     {
    177       if(Flags & RowMajorBit)
    178         return m_storage.data()[colId + rowId * m_storage.cols()];
    179       else // column-major
    180         return m_storage.data()[rowId + colId * m_storage.rows()];
    181     }
    182 
    183     /** This is an overloaded version of DenseCoeffsBase<Derived,WriteAccessors>::coeffRef(Index) const
    184       * provided to by-pass the creation of an evaluator of the expression, thus saving compilation efforts.
    185       *
    186       * See DenseCoeffsBase<Derived,WriteAccessors>::coeffRef(Index) const for details. */
    187     EIGEN_DEVICE_FUNC
    188     EIGEN_STRONG_INLINE Scalar& coeffRef(Index index)
    189     {
    190       return m_storage.data()[index];
    191     }
    192 
    193     /** This is the const version of coeffRef(Index,Index) which is thus synonym of coeff(Index,Index).
    194       * It is provided for convenience. */
    195     EIGEN_DEVICE_FUNC
    196     EIGEN_STRONG_INLINE const Scalar& coeffRef(Index rowId, Index colId) const
    197     {
    198       if(Flags & RowMajorBit)
    199         return m_storage.data()[colId + rowId * m_storage.cols()];
    200       else // column-major
    201         return m_storage.data()[rowId + colId * m_storage.rows()];
    202     }
    203 
    204     /** This is the const version of coeffRef(Index) which is thus synonym of coeff(Index).
    205       * It is provided for convenience. */
    206     EIGEN_DEVICE_FUNC
    207     EIGEN_STRONG_INLINE const Scalar& coeffRef(Index index) const
    208     {
    209       return m_storage.data()[index];
    210     }
    211 
    212     /** \internal */
    213     template<int LoadMode>
    214     EIGEN_STRONG_INLINE PacketScalar packet(Index rowId, Index colId) const
    215     {
    216       return internal::ploadt<PacketScalar, LoadMode>
    217                (m_storage.data() + (Flags & RowMajorBit
    218                                    ? colId + rowId * m_storage.cols()
    219                                    : rowId + colId * m_storage.rows()));
    220     }
    221 
    222     /** \internal */
    223     template<int LoadMode>
    224     EIGEN_STRONG_INLINE PacketScalar packet(Index index) const
    225     {
    226       return internal::ploadt<PacketScalar, LoadMode>(m_storage.data() + index);
    227     }
    228 
    229     /** \internal */
    230     template<int StoreMode>
    231     EIGEN_STRONG_INLINE void writePacket(Index rowId, Index colId, const PacketScalar& val)
    232     {
    233       internal::pstoret<Scalar, PacketScalar, StoreMode>
    234               (m_storage.data() + (Flags & RowMajorBit
    235                                    ? colId + rowId * m_storage.cols()
    236                                    : rowId + colId * m_storage.rows()), val);
    237     }
    238 
    239     /** \internal */
    240     template<int StoreMode>
    241     EIGEN_STRONG_INLINE void writePacket(Index index, const PacketScalar& val)
    242     {
    243       internal::pstoret<Scalar, PacketScalar, StoreMode>(m_storage.data() + index, val);
    244     }
    245 
    246     /** \returns a const pointer to the data array of this matrix */
    247     EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const Scalar *data() const
    248     { return m_storage.data(); }
    249 
    250     /** \returns a pointer to the data array of this matrix */
    251     EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Scalar *data()
    252     { return m_storage.data(); }
    253 
    254     /** Resizes \c *this to a \a rows x \a cols matrix.
    255       *
    256       * This method is intended for dynamic-size matrices, although it is legal to call it on any
    257       * matrix as long as fixed dimensions are left unchanged. If you only want to change the number
    258       * of rows and/or of columns, you can use resize(NoChange_t, Index), resize(Index, NoChange_t).
    259       *
    260       * If the current number of coefficients of \c *this exactly matches the
    261       * product \a rows * \a cols, then no memory allocation is performed and
    262       * the current values are left unchanged. In all other cases, including
    263       * shrinking, the data is reallocated and all previous values are lost.
    264       *
    265       * Example: \include Matrix_resize_int_int.cpp
    266       * Output: \verbinclude Matrix_resize_int_int.out
    267       *
    268       * \sa resize(Index) for vectors, resize(NoChange_t, Index), resize(Index, NoChange_t)
    269       */
    270     EIGEN_DEVICE_FUNC
    271     EIGEN_STRONG_INLINE void resize(Index rows, Index cols)
    272     {
    273       eigen_assert(   EIGEN_IMPLIES(RowsAtCompileTime!=Dynamic,rows==RowsAtCompileTime)
    274                    && EIGEN_IMPLIES(ColsAtCompileTime!=Dynamic,cols==ColsAtCompileTime)
    275                    && EIGEN_IMPLIES(RowsAtCompileTime==Dynamic && MaxRowsAtCompileTime!=Dynamic,rows<=MaxRowsAtCompileTime)
    276                    && EIGEN_IMPLIES(ColsAtCompileTime==Dynamic && MaxColsAtCompileTime!=Dynamic,cols<=MaxColsAtCompileTime)
    277                    && rows>=0 && cols>=0 && "Invalid sizes when resizing a matrix or array.");
    278       internal::check_rows_cols_for_overflow<MaxSizeAtCompileTime>::run(rows, cols);
    279       #ifdef EIGEN_INITIALIZE_COEFFS
    280         Index size = rows*cols;
    281         bool size_changed = size != this->size();
    282         m_storage.resize(size, rows, cols);
    283         if(size_changed) EIGEN_INITIALIZE_COEFFS_IF_THAT_OPTION_IS_ENABLED
    284       #else
    285         m_storage.resize(rows*cols, rows, cols);
    286       #endif
    287     }
    288 
    289     /** Resizes \c *this to a vector of length \a size
    290       *
    291       * \only_for_vectors. This method does not work for
    292       * partially dynamic matrices when the static dimension is anything other
    293       * than 1. For example it will not work with Matrix<double, 2, Dynamic>.
    294       *
    295       * Example: \include Matrix_resize_int.cpp
    296       * Output: \verbinclude Matrix_resize_int.out
    297       *
    298       * \sa resize(Index,Index), resize(NoChange_t, Index), resize(Index, NoChange_t)
    299       */
    300     EIGEN_DEVICE_FUNC
    301     inline void resize(Index size)
    302     {
    303       EIGEN_STATIC_ASSERT_VECTOR_ONLY(PlainObjectBase)
    304       eigen_assert(((SizeAtCompileTime == Dynamic && (MaxSizeAtCompileTime==Dynamic || size<=MaxSizeAtCompileTime)) || SizeAtCompileTime == size) && size>=0);
    305       #ifdef EIGEN_INITIALIZE_COEFFS
    306         bool size_changed = size != this->size();
    307       #endif
    308       if(RowsAtCompileTime == 1)
    309         m_storage.resize(size, 1, size);
    310       else
    311         m_storage.resize(size, size, 1);
    312       #ifdef EIGEN_INITIALIZE_COEFFS
    313         if(size_changed) EIGEN_INITIALIZE_COEFFS_IF_THAT_OPTION_IS_ENABLED
    314       #endif
    315     }
    316 
    317     /** Resizes the matrix, changing only the number of columns. For the parameter of type NoChange_t, just pass the special value \c NoChange
    318       * as in the example below.
    319       *
    320       * Example: \include Matrix_resize_NoChange_int.cpp
    321       * Output: \verbinclude Matrix_resize_NoChange_int.out
    322       *
    323       * \sa resize(Index,Index)
    324       */
    325     EIGEN_DEVICE_FUNC
    326     inline void resize(NoChange_t, Index cols)
    327     {
    328       resize(rows(), cols);
    329     }
    330 
    331     /** Resizes the matrix, changing only the number of rows. For the parameter of type NoChange_t, just pass the special value \c NoChange
    332       * as in the example below.
    333       *
    334       * Example: \include Matrix_resize_int_NoChange.cpp
    335       * Output: \verbinclude Matrix_resize_int_NoChange.out
    336       *
    337       * \sa resize(Index,Index)
    338       */
    339     EIGEN_DEVICE_FUNC
    340     inline void resize(Index rows, NoChange_t)
    341     {
    342       resize(rows, cols());
    343     }
    344 
    345     /** Resizes \c *this to have the same dimensions as \a other.
    346       * Takes care of doing all the checking that's needed.
    347       *
    348       * Note that copying a row-vector into a vector (and conversely) is allowed.
    349       * The resizing, if any, is then done in the appropriate way so that row-vectors
    350       * remain row-vectors and vectors remain vectors.
    351       */
    352     template<typename OtherDerived>
    353     EIGEN_DEVICE_FUNC
    354     EIGEN_STRONG_INLINE void resizeLike(const EigenBase<OtherDerived>& _other)
    355     {
    356       const OtherDerived& other = _other.derived();
    357       internal::check_rows_cols_for_overflow<MaxSizeAtCompileTime>::run(other.rows(), other.cols());
    358       const Index othersize = other.rows()*other.cols();
    359       if(RowsAtCompileTime == 1)
    360       {
    361         eigen_assert(other.rows() == 1 || other.cols() == 1);
    362         resize(1, othersize);
    363       }
    364       else if(ColsAtCompileTime == 1)
    365       {
    366         eigen_assert(other.rows() == 1 || other.cols() == 1);
    367         resize(othersize, 1);
    368       }
    369       else resize(other.rows(), other.cols());
    370     }
    371 
    372     /** Resizes the matrix to \a rows x \a cols while leaving old values untouched.
    373       *
    374       * The method is intended for matrices of dynamic size. If you only want to change the number
    375       * of rows and/or of columns, you can use conservativeResize(NoChange_t, Index) or
    376       * conservativeResize(Index, NoChange_t).
    377       *
    378       * Matrices are resized relative to the top-left element. In case values need to be
    379       * appended to the matrix they will be uninitialized.
    380       */
    381     EIGEN_DEVICE_FUNC
    382     EIGEN_STRONG_INLINE void conservativeResize(Index rows, Index cols)
    383     {
    384       internal::conservative_resize_like_impl<Derived>::run(*this, rows, cols);
    385     }
    386 
    387     /** Resizes the matrix to \a rows x \a cols while leaving old values untouched.
    388       *
    389       * As opposed to conservativeResize(Index rows, Index cols), this version leaves
    390       * the number of columns unchanged.
    391       *
    392       * In case the matrix is growing, new rows will be uninitialized.
    393       */
    394     EIGEN_DEVICE_FUNC
    395     EIGEN_STRONG_INLINE void conservativeResize(Index rows, NoChange_t)
    396     {
    397       // Note: see the comment in conservativeResize(Index,Index)
    398       conservativeResize(rows, cols());
    399     }
    400 
    401     /** Resizes the matrix to \a rows x \a cols while leaving old values untouched.
    402       *
    403       * As opposed to conservativeResize(Index rows, Index cols), this version leaves
    404       * the number of rows unchanged.
    405       *
    406       * In case the matrix is growing, new columns will be uninitialized.
    407       */
    408     EIGEN_DEVICE_FUNC
    409     EIGEN_STRONG_INLINE void conservativeResize(NoChange_t, Index cols)
    410     {
    411       // Note: see the comment in conservativeResize(Index,Index)
    412       conservativeResize(rows(), cols);
    413     }
    414 
    415     /** Resizes the vector to \a size while retaining old values.
    416       *
    417       * \only_for_vectors. This method does not work for
    418       * partially dynamic matrices when the static dimension is anything other
    419       * than 1. For example it will not work with Matrix<double, 2, Dynamic>.
    420       *
    421       * When values are appended, they will be uninitialized.
    422       */
    423     EIGEN_DEVICE_FUNC
    424     EIGEN_STRONG_INLINE void conservativeResize(Index size)
    425     {
    426       internal::conservative_resize_like_impl<Derived>::run(*this, size);
    427     }
    428 
    429     /** Resizes the matrix to \a rows x \a cols of \c other, while leaving old values untouched.
    430       *
    431       * The method is intended for matrices of dynamic size. If you only want to change the number
    432       * of rows and/or of columns, you can use conservativeResize(NoChange_t, Index) or
    433       * conservativeResize(Index, NoChange_t).
    434       *
    435       * Matrices are resized relative to the top-left element. In case values need to be
    436       * appended to the matrix they will copied from \c other.
    437       */
    438     template<typename OtherDerived>
    439     EIGEN_DEVICE_FUNC
    440     EIGEN_STRONG_INLINE void conservativeResizeLike(const DenseBase<OtherDerived>& other)
    441     {
    442       internal::conservative_resize_like_impl<Derived,OtherDerived>::run(*this, other);
    443     }
    444 
    445     /** This is a special case of the templated operator=. Its purpose is to
    446       * prevent a default operator= from hiding the templated operator=.
    447       */
    448     EIGEN_DEVICE_FUNC
    449     EIGEN_STRONG_INLINE Derived& operator=(const PlainObjectBase& other)
    450     {
    451       return _set(other);
    452     }
    453 
    454     /** \sa MatrixBase::lazyAssign() */
    455     template<typename OtherDerived>
    456     EIGEN_DEVICE_FUNC
    457     EIGEN_STRONG_INLINE Derived& lazyAssign(const DenseBase<OtherDerived>& other)
    458     {
    459       _resize_to_match(other);
    460       return Base::lazyAssign(other.derived());
    461     }
    462 
    463     template<typename OtherDerived>
    464     EIGEN_DEVICE_FUNC
    465     EIGEN_STRONG_INLINE Derived& operator=(const ReturnByValue<OtherDerived>& func)
    466     {
    467       resize(func.rows(), func.cols());
    468       return Base::operator=(func);
    469     }
    470 
    471     // Prevent user from trying to instantiate PlainObjectBase objects
    472     // by making all its constructor protected. See bug 1074.
    473   protected:
    474 
    475     EIGEN_DEVICE_FUNC
    476     EIGEN_STRONG_INLINE PlainObjectBase() : m_storage()
    477     {
    478 //       _check_template_params();
    479 //       EIGEN_INITIALIZE_COEFFS_IF_THAT_OPTION_IS_ENABLED
    480     }
    481 
    482 #ifndef EIGEN_PARSED_BY_DOXYGEN
    483     // FIXME is it still needed ?
    484     /** \internal */
    485     EIGEN_DEVICE_FUNC
    486     explicit PlainObjectBase(internal::constructor_without_unaligned_array_assert)
    487       : m_storage(internal::constructor_without_unaligned_array_assert())
    488     {
    489 //       _check_template_params(); EIGEN_INITIALIZE_COEFFS_IF_THAT_OPTION_IS_ENABLED
    490     }
    491 #endif
    492 
    493 #if EIGEN_HAS_RVALUE_REFERENCES
    494     EIGEN_DEVICE_FUNC
    495     PlainObjectBase(PlainObjectBase&& other) EIGEN_NOEXCEPT
    496       : m_storage( std::move(other.m_storage) )
    497     {
    498     }
    499 
    500     EIGEN_DEVICE_FUNC
    501     PlainObjectBase& operator=(PlainObjectBase&& other) EIGEN_NOEXCEPT
    502     {
    503       _check_template_params();
    504       m_storage = std::move(other.m_storage);
    505       return *this;
    506     }
    507 #endif
    508 
    509     /** Copy constructor */
    510     EIGEN_DEVICE_FUNC
    511     EIGEN_STRONG_INLINE PlainObjectBase(const PlainObjectBase& other)
    512       : Base(), m_storage(other.m_storage) { }
    513     EIGEN_DEVICE_FUNC
    514     EIGEN_STRONG_INLINE PlainObjectBase(Index size, Index rows, Index cols)
    515       : m_storage(size, rows, cols)
    516     {
    517 //       _check_template_params();
    518 //       EIGEN_INITIALIZE_COEFFS_IF_THAT_OPTION_IS_ENABLED
    519     }
    520 
    521     #if EIGEN_HAS_CXX11
    522     /** \brief Construct a row of column vector with fixed size from an arbitrary number of coefficients. \cpp11
    523       *
    524       * \only_for_vectors
    525       *
    526       * This constructor is for 1D array or vectors with more than 4 coefficients.
    527       * There exists C++98 analogue constructors for fixed-size array/vector having 1, 2, 3, or 4 coefficients.
    528       *
    529       * \warning To construct a column (resp. row) vector of fixed length, the number of values passed to this
    530       * constructor must match the the fixed number of rows (resp. columns) of \c *this.
    531       */
    532     template <typename... ArgTypes>
    533     EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
    534     PlainObjectBase(const Scalar& a0, const Scalar& a1, const Scalar& a2,  const Scalar& a3, const ArgTypes&... args)
    535       : m_storage()
    536     {
    537       _check_template_params();
    538       EIGEN_STATIC_ASSERT_VECTOR_SPECIFIC_SIZE(PlainObjectBase, sizeof...(args) + 4);
    539       m_storage.data()[0] = a0;
    540       m_storage.data()[1] = a1;
    541       m_storage.data()[2] = a2;
    542       m_storage.data()[3] = a3;
    543       Index i = 4;
    544       auto x = {(m_storage.data()[i++] = args, 0)...};
    545       static_cast<void>(x);
    546     }
    547 
    548     /** \brief Constructs a Matrix or Array and initializes it by elements given by an initializer list of initializer
    549       * lists \cpp11
    550       */
    551     EIGEN_DEVICE_FUNC
    552     explicit EIGEN_STRONG_INLINE PlainObjectBase(const std::initializer_list<std::initializer_list<Scalar>>& list)
    553       : m_storage()
    554     {
    555       _check_template_params();
    556 
    557       size_t list_size = 0;
    558       if (list.begin() != list.end()) {
    559         list_size = list.begin()->size();
    560       }
    561 
    562       // This is to allow syntax like VectorXi {{1, 2, 3, 4}}
    563       if (ColsAtCompileTime == 1 && list.size() == 1) {
    564         eigen_assert(list_size == static_cast<size_t>(RowsAtCompileTime) || RowsAtCompileTime == Dynamic);
    565         resize(list_size, ColsAtCompileTime);
    566         std::copy(list.begin()->begin(), list.begin()->end(), m_storage.data());
    567       } else {
    568         eigen_assert(list.size() == static_cast<size_t>(RowsAtCompileTime) || RowsAtCompileTime == Dynamic);
    569         eigen_assert(list_size == static_cast<size_t>(ColsAtCompileTime) || ColsAtCompileTime == Dynamic);
    570         resize(list.size(), list_size);
    571 
    572         Index row_index = 0;
    573         for (const std::initializer_list<Scalar>& row : list) {
    574           eigen_assert(list_size == row.size());
    575           Index col_index = 0;
    576           for (const Scalar& e : row) {
    577             coeffRef(row_index, col_index) = e;
    578             ++col_index;
    579           }
    580           ++row_index;
    581         }
    582       }
    583     }
    584     #endif  // end EIGEN_HAS_CXX11
    585 
    586     /** \sa PlainObjectBase::operator=(const EigenBase<OtherDerived>&) */
    587     template<typename OtherDerived>
    588     EIGEN_DEVICE_FUNC
    589     EIGEN_STRONG_INLINE PlainObjectBase(const DenseBase<OtherDerived> &other)
    590       : m_storage()
    591     {
    592       _check_template_params();
    593       resizeLike(other);
    594       _set_noalias(other);
    595     }
    596 
    597     /** \sa PlainObjectBase::operator=(const EigenBase<OtherDerived>&) */
    598     template<typename OtherDerived>
    599     EIGEN_DEVICE_FUNC
    600     EIGEN_STRONG_INLINE PlainObjectBase(const EigenBase<OtherDerived> &other)
    601       : m_storage()
    602     {
    603       _check_template_params();
    604       resizeLike(other);
    605       *this = other.derived();
    606     }
    607     /** \brief Copy constructor with in-place evaluation */
    608     template<typename OtherDerived>
    609     EIGEN_DEVICE_FUNC
    610     EIGEN_STRONG_INLINE PlainObjectBase(const ReturnByValue<OtherDerived>& other)
    611     {
    612       _check_template_params();
    613       // FIXME this does not automatically transpose vectors if necessary
    614       resize(other.rows(), other.cols());
    615       other.evalTo(this->derived());
    616     }
    617 
    618   public:
    619 
    620     /** \brief Copies the generic expression \a other into *this.
    621       * \copydetails DenseBase::operator=(const EigenBase<OtherDerived> &other)
    622       */
    623     template<typename OtherDerived>
    624     EIGEN_DEVICE_FUNC
    625     EIGEN_STRONG_INLINE Derived& operator=(const EigenBase<OtherDerived> &other)
    626     {
    627       _resize_to_match(other);
    628       Base::operator=(other.derived());
    629       return this->derived();
    630     }
    631 
    632     /** \name Map
    633       * These are convenience functions returning Map objects. The Map() static functions return unaligned Map objects,
    634       * while the AlignedMap() functions return aligned Map objects and thus should be called only with 16-byte-aligned
    635       * \a data pointers.
    636       *
    637       * Here is an example using strides:
    638       * \include Matrix_Map_stride.cpp
    639       * Output: \verbinclude Matrix_Map_stride.out
    640       *
    641       * \see class Map
    642       */
    643     //@{
    644     static inline ConstMapType Map(const Scalar* data)
    645     { return ConstMapType(data); }
    646     static inline MapType Map(Scalar* data)
    647     { return MapType(data); }
    648     static inline ConstMapType Map(const Scalar* data, Index size)
    649     { return ConstMapType(data, size); }
    650     static inline MapType Map(Scalar* data, Index size)
    651     { return MapType(data, size); }
    652     static inline ConstMapType Map(const Scalar* data, Index rows, Index cols)
    653     { return ConstMapType(data, rows, cols); }
    654     static inline MapType Map(Scalar* data, Index rows, Index cols)
    655     { return MapType(data, rows, cols); }
    656 
    657     static inline ConstAlignedMapType MapAligned(const Scalar* data)
    658     { return ConstAlignedMapType(data); }
    659     static inline AlignedMapType MapAligned(Scalar* data)
    660     { return AlignedMapType(data); }
    661     static inline ConstAlignedMapType MapAligned(const Scalar* data, Index size)
    662     { return ConstAlignedMapType(data, size); }
    663     static inline AlignedMapType MapAligned(Scalar* data, Index size)
    664     { return AlignedMapType(data, size); }
    665     static inline ConstAlignedMapType MapAligned(const Scalar* data, Index rows, Index cols)
    666     { return ConstAlignedMapType(data, rows, cols); }
    667     static inline AlignedMapType MapAligned(Scalar* data, Index rows, Index cols)
    668     { return AlignedMapType(data, rows, cols); }
    669 
    670     template<int Outer, int Inner>
    671     static inline typename StridedConstMapType<Stride<Outer, Inner> >::type Map(const Scalar* data, const Stride<Outer, Inner>& stride)
    672     { return typename StridedConstMapType<Stride<Outer, Inner> >::type(data, stride); }
    673     template<int Outer, int Inner>
    674     static inline typename StridedMapType<Stride<Outer, Inner> >::type Map(Scalar* data, const Stride<Outer, Inner>& stride)
    675     { return typename StridedMapType<Stride<Outer, Inner> >::type(data, stride); }
    676     template<int Outer, int Inner>
    677     static inline typename StridedConstMapType<Stride<Outer, Inner> >::type Map(const Scalar* data, Index size, const Stride<Outer, Inner>& stride)
    678     { return typename StridedConstMapType<Stride<Outer, Inner> >::type(data, size, stride); }
    679     template<int Outer, int Inner>
    680     static inline typename StridedMapType<Stride<Outer, Inner> >::type Map(Scalar* data, Index size, const Stride<Outer, Inner>& stride)
    681     { return typename StridedMapType<Stride<Outer, Inner> >::type(data, size, stride); }
    682     template<int Outer, int Inner>
    683     static inline typename StridedConstMapType<Stride<Outer, Inner> >::type Map(const Scalar* data, Index rows, Index cols, const Stride<Outer, Inner>& stride)
    684     { return typename StridedConstMapType<Stride<Outer, Inner> >::type(data, rows, cols, stride); }
    685     template<int Outer, int Inner>
    686     static inline typename StridedMapType<Stride<Outer, Inner> >::type Map(Scalar* data, Index rows, Index cols, const Stride<Outer, Inner>& stride)
    687     { return typename StridedMapType<Stride<Outer, Inner> >::type(data, rows, cols, stride); }
    688 
    689     template<int Outer, int Inner>
    690     static inline typename StridedConstAlignedMapType<Stride<Outer, Inner> >::type MapAligned(const Scalar* data, const Stride<Outer, Inner>& stride)
    691     { return typename StridedConstAlignedMapType<Stride<Outer, Inner> >::type(data, stride); }
    692     template<int Outer, int Inner>
    693     static inline typename StridedAlignedMapType<Stride<Outer, Inner> >::type MapAligned(Scalar* data, const Stride<Outer, Inner>& stride)
    694     { return typename StridedAlignedMapType<Stride<Outer, Inner> >::type(data, stride); }
    695     template<int Outer, int Inner>
    696     static inline typename StridedConstAlignedMapType<Stride<Outer, Inner> >::type MapAligned(const Scalar* data, Index size, const Stride<Outer, Inner>& stride)
    697     { return typename StridedConstAlignedMapType<Stride<Outer, Inner> >::type(data, size, stride); }
    698     template<int Outer, int Inner>
    699     static inline typename StridedAlignedMapType<Stride<Outer, Inner> >::type MapAligned(Scalar* data, Index size, const Stride<Outer, Inner>& stride)
    700     { return typename StridedAlignedMapType<Stride<Outer, Inner> >::type(data, size, stride); }
    701     template<int Outer, int Inner>
    702     static inline typename StridedConstAlignedMapType<Stride<Outer, Inner> >::type MapAligned(const Scalar* data, Index rows, Index cols, const Stride<Outer, Inner>& stride)
    703     { return typename StridedConstAlignedMapType<Stride<Outer, Inner> >::type(data, rows, cols, stride); }
    704     template<int Outer, int Inner>
    705     static inline typename StridedAlignedMapType<Stride<Outer, Inner> >::type MapAligned(Scalar* data, Index rows, Index cols, const Stride<Outer, Inner>& stride)
    706     { return typename StridedAlignedMapType<Stride<Outer, Inner> >::type(data, rows, cols, stride); }
    707     //@}
    708 
    709     using Base::setConstant;
    710     EIGEN_DEVICE_FUNC Derived& setConstant(Index size, const Scalar& val);
    711     EIGEN_DEVICE_FUNC Derived& setConstant(Index rows, Index cols, const Scalar& val);
    712     EIGEN_DEVICE_FUNC Derived& setConstant(NoChange_t, Index cols, const Scalar& val);
    713     EIGEN_DEVICE_FUNC Derived& setConstant(Index rows, NoChange_t, const Scalar& val);
    714 
    715     using Base::setZero;
    716     EIGEN_DEVICE_FUNC Derived& setZero(Index size);
    717     EIGEN_DEVICE_FUNC Derived& setZero(Index rows, Index cols);
    718     EIGEN_DEVICE_FUNC Derived& setZero(NoChange_t, Index cols);
    719     EIGEN_DEVICE_FUNC Derived& setZero(Index rows, NoChange_t);
    720 
    721     using Base::setOnes;
    722     EIGEN_DEVICE_FUNC Derived& setOnes(Index size);
    723     EIGEN_DEVICE_FUNC Derived& setOnes(Index rows, Index cols);
    724     EIGEN_DEVICE_FUNC Derived& setOnes(NoChange_t, Index cols);
    725     EIGEN_DEVICE_FUNC Derived& setOnes(Index rows, NoChange_t);
    726 
    727     using Base::setRandom;
    728     Derived& setRandom(Index size);
    729     Derived& setRandom(Index rows, Index cols);
    730     Derived& setRandom(NoChange_t, Index cols);
    731     Derived& setRandom(Index rows, NoChange_t);
    732 
    733     #ifdef EIGEN_PLAINOBJECTBASE_PLUGIN
    734     #include EIGEN_PLAINOBJECTBASE_PLUGIN
    735     #endif
    736 
    737   protected:
    738     /** \internal Resizes *this in preparation for assigning \a other to it.
    739       * Takes care of doing all the checking that's needed.
    740       *
    741       * Note that copying a row-vector into a vector (and conversely) is allowed.
    742       * The resizing, if any, is then done in the appropriate way so that row-vectors
    743       * remain row-vectors and vectors remain vectors.
    744       */
    745     template<typename OtherDerived>
    746     EIGEN_DEVICE_FUNC
    747     EIGEN_STRONG_INLINE void _resize_to_match(const EigenBase<OtherDerived>& other)
    748     {
    749       #ifdef EIGEN_NO_AUTOMATIC_RESIZING
    750       eigen_assert((this->size()==0 || (IsVectorAtCompileTime ? (this->size() == other.size())
    751                  : (rows() == other.rows() && cols() == other.cols())))
    752         && "Size mismatch. Automatic resizing is disabled because EIGEN_NO_AUTOMATIC_RESIZING is defined");
    753       EIGEN_ONLY_USED_FOR_DEBUG(other);
    754       #else
    755       resizeLike(other);
    756       #endif
    757     }
    758 
    759     /**
    760       * \brief Copies the value of the expression \a other into \c *this with automatic resizing.
    761       *
    762       * *this might be resized to match the dimensions of \a other. If *this was a null matrix (not already initialized),
    763       * it will be initialized.
    764       *
    765       * Note that copying a row-vector into a vector (and conversely) is allowed.
    766       * The resizing, if any, is then done in the appropriate way so that row-vectors
    767       * remain row-vectors and vectors remain vectors.
    768       *
    769       * \sa operator=(const MatrixBase<OtherDerived>&), _set_noalias()
    770       *
    771       * \internal
    772       */
    773     // aliasing is dealt once in internal::call_assignment
    774     // so at this stage we have to assume aliasing... and resising has to be done later.
    775     template<typename OtherDerived>
    776     EIGEN_DEVICE_FUNC
    777     EIGEN_STRONG_INLINE Derived& _set(const DenseBase<OtherDerived>& other)
    778     {
    779       internal::call_assignment(this->derived(), other.derived());
    780       return this->derived();
    781     }
    782 
    783     /** \internal Like _set() but additionally makes the assumption that no aliasing effect can happen (which
    784       * is the case when creating a new matrix) so one can enforce lazy evaluation.
    785       *
    786       * \sa operator=(const MatrixBase<OtherDerived>&), _set()
    787       */
    788     template<typename OtherDerived>
    789     EIGEN_DEVICE_FUNC
    790     EIGEN_STRONG_INLINE Derived& _set_noalias(const DenseBase<OtherDerived>& other)
    791     {
    792       // I don't think we need this resize call since the lazyAssign will anyways resize
    793       // and lazyAssign will be called by the assign selector.
    794       //_resize_to_match(other);
    795       // the 'false' below means to enforce lazy evaluation. We don't use lazyAssign() because
    796       // it wouldn't allow to copy a row-vector into a column-vector.
    797       internal::call_assignment_no_alias(this->derived(), other.derived(), internal::assign_op<Scalar,typename OtherDerived::Scalar>());
    798       return this->derived();
    799     }
    800 
    801     template<typename T0, typename T1>
    802     EIGEN_DEVICE_FUNC
    803     EIGEN_STRONG_INLINE void _init2(Index rows, Index cols, typename internal::enable_if<Base::SizeAtCompileTime!=2,T0>::type* = 0)
    804     {
    805       const bool t0_is_integer_alike = internal::is_valid_index_type<T0>::value;
    806       const bool t1_is_integer_alike = internal::is_valid_index_type<T1>::value;
    807       EIGEN_STATIC_ASSERT(t0_is_integer_alike &&
    808                           t1_is_integer_alike,
    809                           FLOATING_POINT_ARGUMENT_PASSED__INTEGER_WAS_EXPECTED)
    810       resize(rows,cols);
    811     }
    812 
    813     template<typename T0, typename T1>
    814     EIGEN_DEVICE_FUNC
    815     EIGEN_STRONG_INLINE void _init2(const T0& val0, const T1& val1, typename internal::enable_if<Base::SizeAtCompileTime==2,T0>::type* = 0)
    816     {
    817       EIGEN_STATIC_ASSERT_VECTOR_SPECIFIC_SIZE(PlainObjectBase, 2)
    818       m_storage.data()[0] = Scalar(val0);
    819       m_storage.data()[1] = Scalar(val1);
    820     }
    821 
    822     template<typename T0, typename T1>
    823     EIGEN_DEVICE_FUNC
    824     EIGEN_STRONG_INLINE void _init2(const Index& val0, const Index& val1,
    825                                     typename internal::enable_if<    (!internal::is_same<Index,Scalar>::value)
    826                                                                   && (internal::is_same<T0,Index>::value)
    827                                                                   && (internal::is_same<T1,Index>::value)
    828                                                                   && Base::SizeAtCompileTime==2,T1>::type* = 0)
    829     {
    830       EIGEN_STATIC_ASSERT_VECTOR_SPECIFIC_SIZE(PlainObjectBase, 2)
    831       m_storage.data()[0] = Scalar(val0);
    832       m_storage.data()[1] = Scalar(val1);
    833     }
    834 
    835     // The argument is convertible to the Index type and we either have a non 1x1 Matrix, or a dynamic-sized Array,
    836     // then the argument is meant to be the size of the object.
    837     template<typename T>
    838     EIGEN_DEVICE_FUNC
    839     EIGEN_STRONG_INLINE void _init1(Index size, typename internal::enable_if<    (Base::SizeAtCompileTime!=1 || !internal::is_convertible<T, Scalar>::value)
    840                                                                               && ((!internal::is_same<typename internal::traits<Derived>::XprKind,ArrayXpr>::value || Base::SizeAtCompileTime==Dynamic)),T>::type* = 0)
    841     {
    842       // NOTE MSVC 2008 complains if we directly put bool(NumTraits<T>::IsInteger) as the EIGEN_STATIC_ASSERT argument.
    843       const bool is_integer_alike = internal::is_valid_index_type<T>::value;
    844       EIGEN_UNUSED_VARIABLE(is_integer_alike);
    845       EIGEN_STATIC_ASSERT(is_integer_alike,
    846                           FLOATING_POINT_ARGUMENT_PASSED__INTEGER_WAS_EXPECTED)
    847       resize(size);
    848     }
    849 
    850     // We have a 1x1 matrix/array => the argument is interpreted as the value of the unique coefficient (case where scalar type can be implicitly converted)
    851     template<typename T>
    852     EIGEN_DEVICE_FUNC
    853     EIGEN_STRONG_INLINE void _init1(const Scalar& val0, typename internal::enable_if<Base::SizeAtCompileTime==1 && internal::is_convertible<T, Scalar>::value,T>::type* = 0)
    854     {
    855       EIGEN_STATIC_ASSERT_VECTOR_SPECIFIC_SIZE(PlainObjectBase, 1)
    856       m_storage.data()[0] = val0;
    857     }
    858 
    859     // We have a 1x1 matrix/array => the argument is interpreted as the value of the unique coefficient (case where scalar type match the index type)
    860     template<typename T>
    861     EIGEN_DEVICE_FUNC
    862     EIGEN_STRONG_INLINE void _init1(const Index& val0,
    863                                     typename internal::enable_if<    (!internal::is_same<Index,Scalar>::value)
    864                                                                   && (internal::is_same<Index,T>::value)
    865                                                                   && Base::SizeAtCompileTime==1
    866                                                                   && internal::is_convertible<T, Scalar>::value,T*>::type* = 0)
    867     {
    868       EIGEN_STATIC_ASSERT_VECTOR_SPECIFIC_SIZE(PlainObjectBase, 1)
    869       m_storage.data()[0] = Scalar(val0);
    870     }
    871 
    872     // Initialize a fixed size matrix from a pointer to raw data
    873     template<typename T>
    874     EIGEN_DEVICE_FUNC
    875     EIGEN_STRONG_INLINE void _init1(const Scalar* data){
    876       this->_set_noalias(ConstMapType(data));
    877     }
    878 
    879     // Initialize an arbitrary matrix from a dense expression
    880     template<typename T, typename OtherDerived>
    881     EIGEN_DEVICE_FUNC
    882     EIGEN_STRONG_INLINE void _init1(const DenseBase<OtherDerived>& other){
    883       this->_set_noalias(other);
    884     }
    885 
    886     // Initialize an arbitrary matrix from an object convertible to the Derived type.
    887     template<typename T>
    888     EIGEN_DEVICE_FUNC
    889     EIGEN_STRONG_INLINE void _init1(const Derived& other){
    890       this->_set_noalias(other);
    891     }
    892 
    893     // Initialize an arbitrary matrix from a generic Eigen expression
    894     template<typename T, typename OtherDerived>
    895     EIGEN_DEVICE_FUNC
    896     EIGEN_STRONG_INLINE void _init1(const EigenBase<OtherDerived>& other){
    897       this->derived() = other;
    898     }
    899 
    900     template<typename T, typename OtherDerived>
    901     EIGEN_DEVICE_FUNC
    902     EIGEN_STRONG_INLINE void _init1(const ReturnByValue<OtherDerived>& other)
    903     {
    904       resize(other.rows(), other.cols());
    905       other.evalTo(this->derived());
    906     }
    907 
    908     template<typename T, typename OtherDerived, int ColsAtCompileTime>
    909     EIGEN_DEVICE_FUNC
    910     EIGEN_STRONG_INLINE void _init1(const RotationBase<OtherDerived,ColsAtCompileTime>& r)
    911     {
    912       this->derived() = r;
    913     }
    914 
    915     // For fixed-size Array<Scalar,...>
    916     template<typename T>
    917     EIGEN_DEVICE_FUNC
    918     EIGEN_STRONG_INLINE void _init1(const Scalar& val0,
    919                                     typename internal::enable_if<    Base::SizeAtCompileTime!=Dynamic
    920                                                                   && Base::SizeAtCompileTime!=1
    921                                                                   && internal::is_convertible<T, Scalar>::value
    922                                                                   && internal::is_same<typename internal::traits<Derived>::XprKind,ArrayXpr>::value,T>::type* = 0)
    923     {
    924       Base::setConstant(val0);
    925     }
    926 
    927     // For fixed-size Array<Index,...>
    928     template<typename T>
    929     EIGEN_DEVICE_FUNC
    930     EIGEN_STRONG_INLINE void _init1(const Index& val0,
    931                                     typename internal::enable_if<    (!internal::is_same<Index,Scalar>::value)
    932                                                                   && (internal::is_same<Index,T>::value)
    933                                                                   && Base::SizeAtCompileTime!=Dynamic
    934                                                                   && Base::SizeAtCompileTime!=1
    935                                                                   && internal::is_convertible<T, Scalar>::value
    936                                                                   && internal::is_same<typename internal::traits<Derived>::XprKind,ArrayXpr>::value,T*>::type* = 0)
    937     {
    938       Base::setConstant(val0);
    939     }
    940 
    941     template<typename MatrixTypeA, typename MatrixTypeB, bool SwapPointers>
    942     friend struct internal::matrix_swap_impl;
    943 
    944   public:
    945 
    946 #ifndef EIGEN_PARSED_BY_DOXYGEN
    947     /** \internal
    948       * \brief Override DenseBase::swap() since for dynamic-sized matrices
    949       * of same type it is enough to swap the data pointers.
    950       */
    951     template<typename OtherDerived>
    952     EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
    953     void swap(DenseBase<OtherDerived> & other)
    954     {
    955       enum { SwapPointers = internal::is_same<Derived, OtherDerived>::value && Base::SizeAtCompileTime==Dynamic };
    956       internal::matrix_swap_impl<Derived, OtherDerived, bool(SwapPointers)>::run(this->derived(), other.derived());
    957     }
    958 
    959     /** \internal
    960       * \brief const version forwarded to DenseBase::swap
    961       */
    962     template<typename OtherDerived>
    963     EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
    964     void swap(DenseBase<OtherDerived> const & other)
    965     { Base::swap(other.derived()); }
    966 
    967     EIGEN_DEVICE_FUNC
    968     static EIGEN_STRONG_INLINE void _check_template_params()
    969     {
    970       EIGEN_STATIC_ASSERT((EIGEN_IMPLIES(MaxRowsAtCompileTime==1 && MaxColsAtCompileTime!=1, (int(Options)&RowMajor)==RowMajor)
    971                         && EIGEN_IMPLIES(MaxColsAtCompileTime==1 && MaxRowsAtCompileTime!=1, (int(Options)&RowMajor)==0)
    972                         && ((RowsAtCompileTime == Dynamic) || (RowsAtCompileTime >= 0))
    973                         && ((ColsAtCompileTime == Dynamic) || (ColsAtCompileTime >= 0))
    974                         && ((MaxRowsAtCompileTime == Dynamic) || (MaxRowsAtCompileTime >= 0))
    975                         && ((MaxColsAtCompileTime == Dynamic) || (MaxColsAtCompileTime >= 0))
    976                         && (MaxRowsAtCompileTime == RowsAtCompileTime || RowsAtCompileTime==Dynamic)
    977                         && (MaxColsAtCompileTime == ColsAtCompileTime || ColsAtCompileTime==Dynamic)
    978                         && (Options & (DontAlign|RowMajor)) == Options),
    979         INVALID_MATRIX_TEMPLATE_PARAMETERS)
    980     }
    981 
    982     enum { IsPlainObjectBase = 1 };
    983 #endif
    984   public:
    985     // These apparently need to be down here for nvcc+icc to prevent duplicate
    986     // Map symbol.
    987     template<typename PlainObjectType, int MapOptions, typename StrideType> friend class Eigen::Map;
    988     friend class Eigen::Map<Derived, Unaligned>;
    989     friend class Eigen::Map<const Derived, Unaligned>;
    990 #if EIGEN_MAX_ALIGN_BYTES>0
    991     // for EIGEN_MAX_ALIGN_BYTES==0, AlignedMax==Unaligned, and many compilers generate warnings for friend-ing a class twice.
    992     friend class Eigen::Map<Derived, AlignedMax>;
    993     friend class Eigen::Map<const Derived, AlignedMax>;
    994 #endif
    995 };
    996 
    997 namespace internal {
    998 
    999 template <typename Derived, typename OtherDerived, bool IsVector>
   1000 struct conservative_resize_like_impl
   1001 {
   1002   #if EIGEN_HAS_TYPE_TRAITS
   1003   static const bool IsRelocatable = std::is_trivially_copyable<typename Derived::Scalar>::value;
   1004   #else
   1005   static const bool IsRelocatable = !NumTraits<typename Derived::Scalar>::RequireInitialization;
   1006   #endif
   1007   static void run(DenseBase<Derived>& _this, Index rows, Index cols)
   1008   {
   1009     if (_this.rows() == rows && _this.cols() == cols) return;
   1010     EIGEN_STATIC_ASSERT_DYNAMIC_SIZE(Derived)
   1011 
   1012     if ( IsRelocatable
   1013           && (( Derived::IsRowMajor && _this.cols() == cols) ||  // row-major and we change only the number of rows
   1014               (!Derived::IsRowMajor && _this.rows() == rows) ))  // column-major and we change only the number of columns
   1015     {
   1016       internal::check_rows_cols_for_overflow<Derived::MaxSizeAtCompileTime>::run(rows, cols);
   1017       _this.derived().m_storage.conservativeResize(rows*cols,rows,cols);
   1018     }
   1019     else
   1020     {
   1021       // The storage order does not allow us to use reallocation.
   1022       Derived tmp(rows,cols);
   1023       const Index common_rows = numext::mini(rows, _this.rows());
   1024       const Index common_cols = numext::mini(cols, _this.cols());
   1025       tmp.block(0,0,common_rows,common_cols) = _this.block(0,0,common_rows,common_cols);
   1026       _this.derived().swap(tmp);
   1027     }
   1028   }
   1029 
   1030   static void run(DenseBase<Derived>& _this, const DenseBase<OtherDerived>& other)
   1031   {
   1032     if (_this.rows() == other.rows() && _this.cols() == other.cols()) return;
   1033 
   1034     // Note: Here is space for improvement. Basically, for conservativeResize(Index,Index),
   1035     // neither RowsAtCompileTime or ColsAtCompileTime must be Dynamic. If only one of the
   1036     // dimensions is dynamic, one could use either conservativeResize(Index rows, NoChange_t) or
   1037     // conservativeResize(NoChange_t, Index cols). For these methods new static asserts like
   1038     // EIGEN_STATIC_ASSERT_DYNAMIC_ROWS and EIGEN_STATIC_ASSERT_DYNAMIC_COLS would be good.
   1039     EIGEN_STATIC_ASSERT_DYNAMIC_SIZE(Derived)
   1040     EIGEN_STATIC_ASSERT_DYNAMIC_SIZE(OtherDerived)
   1041 
   1042     if ( IsRelocatable &&
   1043           (( Derived::IsRowMajor && _this.cols() == other.cols()) ||  // row-major and we change only the number of rows
   1044            (!Derived::IsRowMajor && _this.rows() == other.rows()) ))  // column-major and we change only the number of columns
   1045     {
   1046       const Index new_rows = other.rows() - _this.rows();
   1047       const Index new_cols = other.cols() - _this.cols();
   1048       _this.derived().m_storage.conservativeResize(other.size(),other.rows(),other.cols());
   1049       if (new_rows>0)
   1050         _this.bottomRightCorner(new_rows, other.cols()) = other.bottomRows(new_rows);
   1051       else if (new_cols>0)
   1052         _this.bottomRightCorner(other.rows(), new_cols) = other.rightCols(new_cols);
   1053     }
   1054     else
   1055     {
   1056       // The storage order does not allow us to use reallocation.
   1057       Derived tmp(other);
   1058       const Index common_rows = numext::mini(tmp.rows(), _this.rows());
   1059       const Index common_cols = numext::mini(tmp.cols(), _this.cols());
   1060       tmp.block(0,0,common_rows,common_cols) = _this.block(0,0,common_rows,common_cols);
   1061       _this.derived().swap(tmp);
   1062     }
   1063   }
   1064 };
   1065 
   1066 // Here, the specialization for vectors inherits from the general matrix case
   1067 // to allow calling .conservativeResize(rows,cols) on vectors.
   1068 template <typename Derived, typename OtherDerived>
   1069 struct conservative_resize_like_impl<Derived,OtherDerived,true>
   1070   : conservative_resize_like_impl<Derived,OtherDerived,false>
   1071 {
   1072   typedef conservative_resize_like_impl<Derived,OtherDerived,false> Base;
   1073   using Base::run;
   1074   using Base::IsRelocatable;
   1075 
   1076   static void run(DenseBase<Derived>& _this, Index size)
   1077   {
   1078     const Index new_rows = Derived::RowsAtCompileTime==1 ? 1 : size;
   1079     const Index new_cols = Derived::RowsAtCompileTime==1 ? size : 1;
   1080     if(IsRelocatable)
   1081       _this.derived().m_storage.conservativeResize(size,new_rows,new_cols);
   1082     else
   1083       Base::run(_this.derived(), new_rows, new_cols);
   1084   }
   1085 
   1086   static void run(DenseBase<Derived>& _this, const DenseBase<OtherDerived>& other)
   1087   {
   1088     if (_this.rows() == other.rows() && _this.cols() == other.cols()) return;
   1089 
   1090     const Index num_new_elements = other.size() - _this.size();
   1091 
   1092     const Index new_rows = Derived::RowsAtCompileTime==1 ? 1 : other.rows();
   1093     const Index new_cols = Derived::RowsAtCompileTime==1 ? other.cols() : 1;
   1094     if(IsRelocatable)
   1095       _this.derived().m_storage.conservativeResize(other.size(),new_rows,new_cols);
   1096     else
   1097       Base::run(_this.derived(), new_rows, new_cols);
   1098 
   1099     if (num_new_elements > 0)
   1100       _this.tail(num_new_elements) = other.tail(num_new_elements);
   1101   }
   1102 };
   1103 
   1104 template<typename MatrixTypeA, typename MatrixTypeB, bool SwapPointers>
   1105 struct matrix_swap_impl
   1106 {
   1107   EIGEN_DEVICE_FUNC
   1108   static EIGEN_STRONG_INLINE void run(MatrixTypeA& a, MatrixTypeB& b)
   1109   {
   1110     a.base().swap(b);
   1111   }
   1112 };
   1113 
   1114 template<typename MatrixTypeA, typename MatrixTypeB>
   1115 struct matrix_swap_impl<MatrixTypeA, MatrixTypeB, true>
   1116 {
   1117   EIGEN_DEVICE_FUNC
   1118   static inline void run(MatrixTypeA& a, MatrixTypeB& b)
   1119   {
   1120     static_cast<typename MatrixTypeA::Base&>(a).m_storage.swap(static_cast<typename MatrixTypeB::Base&>(b).m_storage);
   1121   }
   1122 };
   1123 
   1124 } // end namespace internal
   1125 
   1126 } // end namespace Eigen
   1127 
   1128 #endif // EIGEN_DENSESTORAGEBASE_H