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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@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(int 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(int 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>
runcheck_rows_cols_for_overflow31   static EIGEN_ALWAYS_INLINE void run(Index, Index)
32   {
33   }
34 };
35 
36 template<> struct check_rows_cols_for_overflow<Dynamic> {
37   template<typename Index>
38   static EIGEN_ALWAYS_INLINE void run(Index rows, Index cols)
39   {
40     // http://hg.mozilla.org/mozilla-central/file/6c8a909977d3/xpcom/ds/CheckedInt.h#l242
41     // we assume Index is signed
42     Index max_index = (size_t(1) << (8 * sizeof(Index) - 1)) - 1; // assume Index is signed
43     bool error = (rows == 0 || cols == 0) ? false
44                : (rows > max_index / cols);
45     if (error)
46       throw_std_bad_alloc();
47   }
48 };
49 
50 template <typename Derived,
51           typename OtherDerived = Derived,
52           bool IsVector = bool(Derived::IsVectorAtCompileTime) && bool(OtherDerived::IsVectorAtCompileTime)>
53 struct conservative_resize_like_impl;
54 
55 template<typename MatrixTypeA, typename MatrixTypeB, bool SwapPointers> struct matrix_swap_impl;
56 
57 } // end namespace internal
58 
59 /** \class PlainObjectBase
60   * \brief %Dense storage base class for matrices and arrays.
61   *
62   * This class can be extended with the help of the plugin mechanism described on the page
63   * \ref TopicCustomizingEigen by defining the preprocessor symbol \c EIGEN_PLAINOBJECTBASE_PLUGIN.
64   *
65   * \sa \ref TopicClassHierarchy
66   */
67 #ifdef EIGEN_PARSED_BY_DOXYGEN
68 namespace internal {
69 
70 // this is a warkaround to doxygen not being able to understand the inheritence logic
71 // when it is hidden by the dense_xpr_base helper struct.
72 template<typename Derived> struct dense_xpr_base_dispatcher_for_doxygen;// : public MatrixBase<Derived> {};
73 /** This class is just a workaround for Doxygen and it does not not actually exist. */
74 template<typename _Scalar, int _Rows, int _Cols, int _Options, int _MaxRows, int _MaxCols>
75 struct dense_xpr_base_dispatcher_for_doxygen<Matrix<_Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols> >
76     : public MatrixBase<Matrix<_Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols> > {};
77 /** This class is just a workaround for Doxygen and it does not not actually exist. */
78 template<typename _Scalar, int _Rows, int _Cols, int _Options, int _MaxRows, int _MaxCols>
79 struct dense_xpr_base_dispatcher_for_doxygen<Array<_Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols> >
80     : public ArrayBase<Array<_Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols> > {};
81 
82 } // namespace internal
83 
84 template<typename Derived>
85 class PlainObjectBase : public internal::dense_xpr_base_dispatcher_for_doxygen<Derived>
86 #else
87 template<typename Derived>
88 class PlainObjectBase : public internal::dense_xpr_base<Derived>::type
89 #endif
90 {
91   public:
92     enum { Options = internal::traits<Derived>::Options };
93     typedef typename internal::dense_xpr_base<Derived>::type Base;
94 
95     typedef typename internal::traits<Derived>::StorageKind StorageKind;
96     typedef typename internal::traits<Derived>::Index Index;
97     typedef typename internal::traits<Derived>::Scalar Scalar;
98     typedef typename internal::packet_traits<Scalar>::type PacketScalar;
99     typedef typename NumTraits<Scalar>::Real RealScalar;
100     typedef Derived DenseType;
101 
102     using Base::RowsAtCompileTime;
103     using Base::ColsAtCompileTime;
104     using Base::SizeAtCompileTime;
105     using Base::MaxRowsAtCompileTime;
106     using Base::MaxColsAtCompileTime;
107     using Base::MaxSizeAtCompileTime;
108     using Base::IsVectorAtCompileTime;
109     using Base::Flags;
110 
111     template<typename PlainObjectType, int MapOptions, typename StrideType> friend class Eigen::Map;
112     friend  class Eigen::Map<Derived, Unaligned>;
113     typedef Eigen::Map<Derived, Unaligned>  MapType;
114     friend  class Eigen::Map<const Derived, Unaligned>;
115     typedef const Eigen::Map<const Derived, Unaligned> ConstMapType;
116     friend  class Eigen::Map<Derived, Aligned>;
117     typedef Eigen::Map<Derived, Aligned> AlignedMapType;
118     friend  class Eigen::Map<const Derived, Aligned>;
119     typedef const Eigen::Map<const Derived, Aligned> ConstAlignedMapType;
120     template<typename StrideType> struct StridedMapType { typedef Eigen::Map<Derived, Unaligned, StrideType> type; };
121     template<typename StrideType> struct StridedConstMapType { typedef Eigen::Map<const Derived, Unaligned, StrideType> type; };
122     template<typename StrideType> struct StridedAlignedMapType { typedef Eigen::Map<Derived, Aligned, StrideType> type; };
123     template<typename StrideType> struct StridedConstAlignedMapType { typedef Eigen::Map<const Derived, Aligned, StrideType> type; };
124 
125   protected:
126     DenseStorage<Scalar, Base::MaxSizeAtCompileTime, Base::RowsAtCompileTime, Base::ColsAtCompileTime, Options> m_storage;
127 
128   public:
129     enum { NeedsToAlign = SizeAtCompileTime != Dynamic && (internal::traits<Derived>::Flags & AlignedBit) != 0 };
130     EIGEN_MAKE_ALIGNED_OPERATOR_NEW_IF(NeedsToAlign)
131 
132     Base& base() { return *static_cast<Base*>(this); }
133     const Base& base() const { return *static_cast<const Base*>(this); }
134 
135     EIGEN_STRONG_INLINE Index rows() const { return m_storage.rows(); }
136     EIGEN_STRONG_INLINE Index cols() const { return m_storage.cols(); }
137 
138     EIGEN_STRONG_INLINE const Scalar& coeff(Index rowId, Index colId) const
139     {
140       if(Flags & RowMajorBit)
141         return m_storage.data()[colId + rowId * m_storage.cols()];
142       else // column-major
143         return m_storage.data()[rowId + colId * m_storage.rows()];
144     }
145 
146     EIGEN_STRONG_INLINE const Scalar& coeff(Index index) const
147     {
148       return m_storage.data()[index];
149     }
150 
151     EIGEN_STRONG_INLINE Scalar& coeffRef(Index rowId, Index colId)
152     {
153       if(Flags & RowMajorBit)
154         return m_storage.data()[colId + rowId * m_storage.cols()];
155       else // column-major
156         return m_storage.data()[rowId + colId * m_storage.rows()];
157     }
158 
159     EIGEN_STRONG_INLINE Scalar& coeffRef(Index index)
160     {
161       return m_storage.data()[index];
162     }
163 
164     EIGEN_STRONG_INLINE const Scalar& coeffRef(Index rowId, Index colId) const
165     {
166       if(Flags & RowMajorBit)
167         return m_storage.data()[colId + rowId * m_storage.cols()];
168       else // column-major
169         return m_storage.data()[rowId + colId * m_storage.rows()];
170     }
171 
172     EIGEN_STRONG_INLINE const Scalar& coeffRef(Index index) const
173     {
174       return m_storage.data()[index];
175     }
176 
177     /** \internal */
178     template<int LoadMode>
179     EIGEN_STRONG_INLINE PacketScalar packet(Index rowId, Index colId) const
180     {
181       return internal::ploadt<PacketScalar, LoadMode>
182                (m_storage.data() + (Flags & RowMajorBit
183                                    ? colId + rowId * m_storage.cols()
184                                    : rowId + colId * m_storage.rows()));
185     }
186 
187     /** \internal */
188     template<int LoadMode>
189     EIGEN_STRONG_INLINE PacketScalar packet(Index index) const
190     {
191       return internal::ploadt<PacketScalar, LoadMode>(m_storage.data() + index);
192     }
193 
194     /** \internal */
195     template<int StoreMode>
196     EIGEN_STRONG_INLINE void writePacket(Index rowId, Index colId, const PacketScalar& val)
197     {
198       internal::pstoret<Scalar, PacketScalar, StoreMode>
199               (m_storage.data() + (Flags & RowMajorBit
200                                    ? colId + rowId * m_storage.cols()
201                                    : rowId + colId * m_storage.rows()), val);
202     }
203 
204     /** \internal */
205     template<int StoreMode>
206     EIGEN_STRONG_INLINE void writePacket(Index index, const PacketScalar& val)
207     {
208       internal::pstoret<Scalar, PacketScalar, StoreMode>(m_storage.data() + index, val);
209     }
210 
211     /** \returns a const pointer to the data array of this matrix */
212     EIGEN_STRONG_INLINE const Scalar *data() const
213     { return m_storage.data(); }
214 
215     /** \returns a pointer to the data array of this matrix */
216     EIGEN_STRONG_INLINE Scalar *data()
217     { return m_storage.data(); }
218 
219     /** Resizes \c *this to a \a rows x \a cols matrix.
220       *
221       * This method is intended for dynamic-size matrices, although it is legal to call it on any
222       * matrix as long as fixed dimensions are left unchanged. If you only want to change the number
223       * of rows and/or of columns, you can use resize(NoChange_t, Index), resize(Index, NoChange_t).
224       *
225       * If the current number of coefficients of \c *this exactly matches the
226       * product \a rows * \a cols, then no memory allocation is performed and
227       * the current values are left unchanged. In all other cases, including
228       * shrinking, the data is reallocated and all previous values are lost.
229       *
230       * Example: \include Matrix_resize_int_int.cpp
231       * Output: \verbinclude Matrix_resize_int_int.out
232       *
233       * \sa resize(Index) for vectors, resize(NoChange_t, Index), resize(Index, NoChange_t)
234       */
235     EIGEN_STRONG_INLINE void resize(Index nbRows, Index nbCols)
236     {
237       eigen_assert(   EIGEN_IMPLIES(RowsAtCompileTime!=Dynamic,nbRows==RowsAtCompileTime)
238                    && EIGEN_IMPLIES(ColsAtCompileTime!=Dynamic,nbCols==ColsAtCompileTime)
239                    && EIGEN_IMPLIES(RowsAtCompileTime==Dynamic && MaxRowsAtCompileTime!=Dynamic,nbRows<=MaxRowsAtCompileTime)
240                    && EIGEN_IMPLIES(ColsAtCompileTime==Dynamic && MaxColsAtCompileTime!=Dynamic,nbCols<=MaxColsAtCompileTime)
241                    && nbRows>=0 && nbCols>=0 && "Invalid sizes when resizing a matrix or array.");
242       internal::check_rows_cols_for_overflow<MaxSizeAtCompileTime>::run(nbRows, nbCols);
243       #ifdef EIGEN_INITIALIZE_COEFFS
244         Index size = nbRows*nbCols;
245         bool size_changed = size != this->size();
246         m_storage.resize(size, nbRows, nbCols);
247         if(size_changed) EIGEN_INITIALIZE_COEFFS_IF_THAT_OPTION_IS_ENABLED
248       #else
249         internal::check_rows_cols_for_overflow<MaxSizeAtCompileTime>::run(nbRows, nbCols);
250         m_storage.resize(nbRows*nbCols, nbRows, nbCols);
251       #endif
252     }
253 
254     /** Resizes \c *this to a vector of length \a size
255       *
256       * \only_for_vectors. This method does not work for
257       * partially dynamic matrices when the static dimension is anything other
258       * than 1. For example it will not work with Matrix<double, 2, Dynamic>.
259       *
260       * Example: \include Matrix_resize_int.cpp
261       * Output: \verbinclude Matrix_resize_int.out
262       *
263       * \sa resize(Index,Index), resize(NoChange_t, Index), resize(Index, NoChange_t)
264       */
265     inline void resize(Index size)
266     {
267       EIGEN_STATIC_ASSERT_VECTOR_ONLY(PlainObjectBase)
268       eigen_assert(((SizeAtCompileTime == Dynamic && (MaxSizeAtCompileTime==Dynamic || size<=MaxSizeAtCompileTime)) || SizeAtCompileTime == size) && size>=0);
269       #ifdef EIGEN_INITIALIZE_COEFFS
270         bool size_changed = size != this->size();
271       #endif
272       if(RowsAtCompileTime == 1)
273         m_storage.resize(size, 1, size);
274       else
275         m_storage.resize(size, size, 1);
276       #ifdef EIGEN_INITIALIZE_COEFFS
277         if(size_changed) EIGEN_INITIALIZE_COEFFS_IF_THAT_OPTION_IS_ENABLED
278       #endif
279     }
280 
281     /** Resizes the matrix, changing only the number of columns. For the parameter of type NoChange_t, just pass the special value \c NoChange
282       * as in the example below.
283       *
284       * Example: \include Matrix_resize_NoChange_int.cpp
285       * Output: \verbinclude Matrix_resize_NoChange_int.out
286       *
287       * \sa resize(Index,Index)
288       */
289     inline void resize(NoChange_t, Index nbCols)
290     {
291       resize(rows(), nbCols);
292     }
293 
294     /** Resizes the matrix, changing only the number of rows. For the parameter of type NoChange_t, just pass the special value \c NoChange
295       * as in the example below.
296       *
297       * Example: \include Matrix_resize_int_NoChange.cpp
298       * Output: \verbinclude Matrix_resize_int_NoChange.out
299       *
300       * \sa resize(Index,Index)
301       */
302     inline void resize(Index nbRows, NoChange_t)
303     {
304       resize(nbRows, cols());
305     }
306 
307     /** Resizes \c *this to have the same dimensions as \a other.
308       * Takes care of doing all the checking that's needed.
309       *
310       * Note that copying a row-vector into a vector (and conversely) is allowed.
311       * The resizing, if any, is then done in the appropriate way so that row-vectors
312       * remain row-vectors and vectors remain vectors.
313       */
314     template<typename OtherDerived>
315     EIGEN_STRONG_INLINE void resizeLike(const EigenBase<OtherDerived>& _other)
316     {
317       const OtherDerived& other = _other.derived();
318       internal::check_rows_cols_for_overflow<MaxSizeAtCompileTime>::run(other.rows(), other.cols());
319       const Index othersize = other.rows()*other.cols();
320       if(RowsAtCompileTime == 1)
321       {
322         eigen_assert(other.rows() == 1 || other.cols() == 1);
323         resize(1, othersize);
324       }
325       else if(ColsAtCompileTime == 1)
326       {
327         eigen_assert(other.rows() == 1 || other.cols() == 1);
328         resize(othersize, 1);
329       }
330       else resize(other.rows(), other.cols());
331     }
332 
333     /** Resizes the matrix to \a rows x \a cols while leaving old values untouched.
334       *
335       * The method is intended for matrices of dynamic size. If you only want to change the number
336       * of rows and/or of columns, you can use conservativeResize(NoChange_t, Index) or
337       * conservativeResize(Index, NoChange_t).
338       *
339       * Matrices are resized relative to the top-left element. In case values need to be
340       * appended to the matrix they will be uninitialized.
341       */
342     EIGEN_STRONG_INLINE void conservativeResize(Index nbRows, Index nbCols)
343     {
344       internal::conservative_resize_like_impl<Derived>::run(*this, nbRows, nbCols);
345     }
346 
347     /** Resizes the matrix to \a rows x \a cols while leaving old values untouched.
348       *
349       * As opposed to conservativeResize(Index rows, Index cols), this version leaves
350       * the number of columns unchanged.
351       *
352       * In case the matrix is growing, new rows will be uninitialized.
353       */
354     EIGEN_STRONG_INLINE void conservativeResize(Index nbRows, NoChange_t)
355     {
356       // Note: see the comment in conservativeResize(Index,Index)
357       conservativeResize(nbRows, cols());
358     }
359 
360     /** Resizes the matrix to \a rows x \a cols while leaving old values untouched.
361       *
362       * As opposed to conservativeResize(Index rows, Index cols), this version leaves
363       * the number of rows unchanged.
364       *
365       * In case the matrix is growing, new columns will be uninitialized.
366       */
367     EIGEN_STRONG_INLINE void conservativeResize(NoChange_t, Index nbCols)
368     {
369       // Note: see the comment in conservativeResize(Index,Index)
370       conservativeResize(rows(), nbCols);
371     }
372 
373     /** Resizes the vector to \a size while retaining old values.
374       *
375       * \only_for_vectors. This method does not work for
376       * partially dynamic matrices when the static dimension is anything other
377       * than 1. For example it will not work with Matrix<double, 2, Dynamic>.
378       *
379       * When values are appended, they will be uninitialized.
380       */
381     EIGEN_STRONG_INLINE void conservativeResize(Index size)
382     {
383       internal::conservative_resize_like_impl<Derived>::run(*this, size);
384     }
385 
386     /** Resizes the matrix to \a rows x \a cols of \c other, while leaving old values untouched.
387       *
388       * The method is intended for matrices of dynamic size. If you only want to change the number
389       * of rows and/or of columns, you can use conservativeResize(NoChange_t, Index) or
390       * conservativeResize(Index, NoChange_t).
391       *
392       * Matrices are resized relative to the top-left element. In case values need to be
393       * appended to the matrix they will copied from \c other.
394       */
395     template<typename OtherDerived>
396     EIGEN_STRONG_INLINE void conservativeResizeLike(const DenseBase<OtherDerived>& other)
397     {
398       internal::conservative_resize_like_impl<Derived,OtherDerived>::run(*this, other);
399     }
400 
401     /** This is a special case of the templated operator=. Its purpose is to
402       * prevent a default operator= from hiding the templated operator=.
403       */
404     EIGEN_STRONG_INLINE Derived& operator=(const PlainObjectBase& other)
405     {
406       return _set(other);
407     }
408 
409     /** \sa MatrixBase::lazyAssign() */
410     template<typename OtherDerived>
411     EIGEN_STRONG_INLINE Derived& lazyAssign(const DenseBase<OtherDerived>& other)
412     {
413       _resize_to_match(other);
414       return Base::lazyAssign(other.derived());
415     }
416 
417     template<typename OtherDerived>
418     EIGEN_STRONG_INLINE Derived& operator=(const ReturnByValue<OtherDerived>& func)
419     {
420       resize(func.rows(), func.cols());
421       return Base::operator=(func);
422     }
423 
424     EIGEN_STRONG_INLINE PlainObjectBase() : m_storage()
425     {
426 //       _check_template_params();
427 //       EIGEN_INITIALIZE_COEFFS_IF_THAT_OPTION_IS_ENABLED
428     }
429 
430 #ifndef EIGEN_PARSED_BY_DOXYGEN
431     // FIXME is it still needed ?
432     /** \internal */
433     PlainObjectBase(internal::constructor_without_unaligned_array_assert)
434       : m_storage(internal::constructor_without_unaligned_array_assert())
435     {
436 //       _check_template_params(); EIGEN_INITIALIZE_COEFFS_IF_THAT_OPTION_IS_ENABLED
437     }
438 #endif
439 
440     EIGEN_STRONG_INLINE PlainObjectBase(Index a_size, Index nbRows, Index nbCols)
441       : m_storage(a_size, nbRows, nbCols)
442     {
443 //       _check_template_params();
444 //       EIGEN_INITIALIZE_COEFFS_IF_THAT_OPTION_IS_ENABLED
445     }
446 
447     /** \copydoc MatrixBase::operator=(const EigenBase<OtherDerived>&)
448       */
449     template<typename OtherDerived>
450     EIGEN_STRONG_INLINE Derived& operator=(const EigenBase<OtherDerived> &other)
451     {
452       _resize_to_match(other);
453       Base::operator=(other.derived());
454       return this->derived();
455     }
456 
457     /** \sa MatrixBase::operator=(const EigenBase<OtherDerived>&) */
458     template<typename OtherDerived>
459     EIGEN_STRONG_INLINE PlainObjectBase(const EigenBase<OtherDerived> &other)
460       : m_storage(other.derived().rows() * other.derived().cols(), other.derived().rows(), other.derived().cols())
461     {
462       _check_template_params();
463       internal::check_rows_cols_for_overflow<MaxSizeAtCompileTime>::run(other.derived().rows(), other.derived().cols());
464       Base::operator=(other.derived());
465     }
466 
467     /** \name Map
468       * These are convenience functions returning Map objects. The Map() static functions return unaligned Map objects,
469       * while the AlignedMap() functions return aligned Map objects and thus should be called only with 16-byte-aligned
470       * \a data pointers.
471       *
472       * \see class Map
473       */
474     //@{
475     static inline ConstMapType Map(const Scalar* data)
476     { return ConstMapType(data); }
477     static inline MapType Map(Scalar* data)
478     { return MapType(data); }
479     static inline ConstMapType Map(const Scalar* data, Index size)
480     { return ConstMapType(data, size); }
481     static inline MapType Map(Scalar* data, Index size)
482     { return MapType(data, size); }
483     static inline ConstMapType Map(const Scalar* data, Index rows, Index cols)
484     { return ConstMapType(data, rows, cols); }
485     static inline MapType Map(Scalar* data, Index rows, Index cols)
486     { return MapType(data, rows, cols); }
487 
488     static inline ConstAlignedMapType MapAligned(const Scalar* data)
489     { return ConstAlignedMapType(data); }
490     static inline AlignedMapType MapAligned(Scalar* data)
491     { return AlignedMapType(data); }
492     static inline ConstAlignedMapType MapAligned(const Scalar* data, Index size)
493     { return ConstAlignedMapType(data, size); }
494     static inline AlignedMapType MapAligned(Scalar* data, Index size)
495     { return AlignedMapType(data, size); }
496     static inline ConstAlignedMapType MapAligned(const Scalar* data, Index rows, Index cols)
497     { return ConstAlignedMapType(data, rows, cols); }
498     static inline AlignedMapType MapAligned(Scalar* data, Index rows, Index cols)
499     { return AlignedMapType(data, rows, cols); }
500 
501     template<int Outer, int Inner>
502     static inline typename StridedConstMapType<Stride<Outer, Inner> >::type Map(const Scalar* data, const Stride<Outer, Inner>& stride)
503     { return typename StridedConstMapType<Stride<Outer, Inner> >::type(data, stride); }
504     template<int Outer, int Inner>
505     static inline typename StridedMapType<Stride<Outer, Inner> >::type Map(Scalar* data, const Stride<Outer, Inner>& stride)
506     { return typename StridedMapType<Stride<Outer, Inner> >::type(data, stride); }
507     template<int Outer, int Inner>
508     static inline typename StridedConstMapType<Stride<Outer, Inner> >::type Map(const Scalar* data, Index size, const Stride<Outer, Inner>& stride)
509     { return typename StridedConstMapType<Stride<Outer, Inner> >::type(data, size, stride); }
510     template<int Outer, int Inner>
511     static inline typename StridedMapType<Stride<Outer, Inner> >::type Map(Scalar* data, Index size, const Stride<Outer, Inner>& stride)
512     { return typename StridedMapType<Stride<Outer, Inner> >::type(data, size, stride); }
513     template<int Outer, int Inner>
514     static inline typename StridedConstMapType<Stride<Outer, Inner> >::type Map(const Scalar* data, Index rows, Index cols, const Stride<Outer, Inner>& stride)
515     { return typename StridedConstMapType<Stride<Outer, Inner> >::type(data, rows, cols, stride); }
516     template<int Outer, int Inner>
517     static inline typename StridedMapType<Stride<Outer, Inner> >::type Map(Scalar* data, Index rows, Index cols, const Stride<Outer, Inner>& stride)
518     { return typename StridedMapType<Stride<Outer, Inner> >::type(data, rows, cols, stride); }
519 
520     template<int Outer, int Inner>
521     static inline typename StridedConstAlignedMapType<Stride<Outer, Inner> >::type MapAligned(const Scalar* data, const Stride<Outer, Inner>& stride)
522     { return typename StridedConstAlignedMapType<Stride<Outer, Inner> >::type(data, stride); }
523     template<int Outer, int Inner>
524     static inline typename StridedAlignedMapType<Stride<Outer, Inner> >::type MapAligned(Scalar* data, const Stride<Outer, Inner>& stride)
525     { return typename StridedAlignedMapType<Stride<Outer, Inner> >::type(data, stride); }
526     template<int Outer, int Inner>
527     static inline typename StridedConstAlignedMapType<Stride<Outer, Inner> >::type MapAligned(const Scalar* data, Index size, const Stride<Outer, Inner>& stride)
528     { return typename StridedConstAlignedMapType<Stride<Outer, Inner> >::type(data, size, stride); }
529     template<int Outer, int Inner>
530     static inline typename StridedAlignedMapType<Stride<Outer, Inner> >::type MapAligned(Scalar* data, Index size, const Stride<Outer, Inner>& stride)
531     { return typename StridedAlignedMapType<Stride<Outer, Inner> >::type(data, size, stride); }
532     template<int Outer, int Inner>
533     static inline typename StridedConstAlignedMapType<Stride<Outer, Inner> >::type MapAligned(const Scalar* data, Index rows, Index cols, const Stride<Outer, Inner>& stride)
534     { return typename StridedConstAlignedMapType<Stride<Outer, Inner> >::type(data, rows, cols, stride); }
535     template<int Outer, int Inner>
536     static inline typename StridedAlignedMapType<Stride<Outer, Inner> >::type MapAligned(Scalar* data, Index rows, Index cols, const Stride<Outer, Inner>& stride)
537     { return typename StridedAlignedMapType<Stride<Outer, Inner> >::type(data, rows, cols, stride); }
538     //@}
539 
540     using Base::setConstant;
541     Derived& setConstant(Index size, const Scalar& value);
542     Derived& setConstant(Index rows, Index cols, const Scalar& value);
543 
544     using Base::setZero;
545     Derived& setZero(Index size);
546     Derived& setZero(Index rows, Index cols);
547 
548     using Base::setOnes;
549     Derived& setOnes(Index size);
550     Derived& setOnes(Index rows, Index cols);
551 
552     using Base::setRandom;
553     Derived& setRandom(Index size);
554     Derived& setRandom(Index rows, Index cols);
555 
556     #ifdef EIGEN_PLAINOBJECTBASE_PLUGIN
557     #include EIGEN_PLAINOBJECTBASE_PLUGIN
558     #endif
559 
560   protected:
561     /** \internal Resizes *this in preparation for assigning \a other to it.
562       * Takes care of doing all the checking that's needed.
563       *
564       * Note that copying a row-vector into a vector (and conversely) is allowed.
565       * The resizing, if any, is then done in the appropriate way so that row-vectors
566       * remain row-vectors and vectors remain vectors.
567       */
568     template<typename OtherDerived>
569     EIGEN_STRONG_INLINE void _resize_to_match(const EigenBase<OtherDerived>& other)
570     {
571       #ifdef EIGEN_NO_AUTOMATIC_RESIZING
572       eigen_assert((this->size()==0 || (IsVectorAtCompileTime ? (this->size() == other.size())
573                  : (rows() == other.rows() && cols() == other.cols())))
574         && "Size mismatch. Automatic resizing is disabled because EIGEN_NO_AUTOMATIC_RESIZING is defined");
575       EIGEN_ONLY_USED_FOR_DEBUG(other);
576       if(this->size()==0)
577         resizeLike(other);
578       #else
579       resizeLike(other);
580       #endif
581     }
582 
583     /**
584       * \brief Copies the value of the expression \a other into \c *this with automatic resizing.
585       *
586       * *this might be resized to match the dimensions of \a other. If *this was a null matrix (not already initialized),
587       * it will be initialized.
588       *
589       * Note that copying a row-vector into a vector (and conversely) is allowed.
590       * The resizing, if any, is then done in the appropriate way so that row-vectors
591       * remain row-vectors and vectors remain vectors.
592       *
593       * \sa operator=(const MatrixBase<OtherDerived>&), _set_noalias()
594       *
595       * \internal
596       */
597     template<typename OtherDerived>
598     EIGEN_STRONG_INLINE Derived& _set(const DenseBase<OtherDerived>& other)
599     {
600       _set_selector(other.derived(), typename internal::conditional<static_cast<bool>(int(OtherDerived::Flags) & EvalBeforeAssigningBit), internal::true_type, internal::false_type>::type());
601       return this->derived();
602     }
603 
604     template<typename OtherDerived>
605     EIGEN_STRONG_INLINE void _set_selector(const OtherDerived& other, const internal::true_type&) { _set_noalias(other.eval()); }
606 
607     template<typename OtherDerived>
608     EIGEN_STRONG_INLINE void _set_selector(const OtherDerived& other, const internal::false_type&) { _set_noalias(other); }
609 
610     /** \internal Like _set() but additionally makes the assumption that no aliasing effect can happen (which
611       * is the case when creating a new matrix) so one can enforce lazy evaluation.
612       *
613       * \sa operator=(const MatrixBase<OtherDerived>&), _set()
614       */
615     template<typename OtherDerived>
616     EIGEN_STRONG_INLINE Derived& _set_noalias(const DenseBase<OtherDerived>& other)
617     {
618       // I don't think we need this resize call since the lazyAssign will anyways resize
619       // and lazyAssign will be called by the assign selector.
620       //_resize_to_match(other);
621       // the 'false' below means to enforce lazy evaluation. We don't use lazyAssign() because
622       // it wouldn't allow to copy a row-vector into a column-vector.
623       return internal::assign_selector<Derived,OtherDerived,false>::run(this->derived(), other.derived());
624     }
625 
626     template<typename T0, typename T1>
627     EIGEN_STRONG_INLINE void _init2(Index nbRows, Index nbCols, typename internal::enable_if<Base::SizeAtCompileTime!=2,T0>::type* = 0)
628     {
629       EIGEN_STATIC_ASSERT(bool(NumTraits<T0>::IsInteger) &&
630                           bool(NumTraits<T1>::IsInteger),
631                           FLOATING_POINT_ARGUMENT_PASSED__INTEGER_WAS_EXPECTED)
632       resize(nbRows,nbCols);
633     }
634     template<typename T0, typename T1>
635     EIGEN_STRONG_INLINE void _init2(const Scalar& val0, const Scalar& val1, typename internal::enable_if<Base::SizeAtCompileTime==2,T0>::type* = 0)
636     {
637       EIGEN_STATIC_ASSERT_VECTOR_SPECIFIC_SIZE(PlainObjectBase, 2)
638       m_storage.data()[0] = val0;
639       m_storage.data()[1] = val1;
640     }
641 
642     template<typename MatrixTypeA, typename MatrixTypeB, bool SwapPointers>
643     friend struct internal::matrix_swap_impl;
644 
645     /** \internal generic implementation of swap for dense storage since for dynamic-sized matrices of same type it is enough to swap the
646       * data pointers.
647       */
648     template<typename OtherDerived>
649     void _swap(DenseBase<OtherDerived> const & other)
650     {
651       enum { SwapPointers = internal::is_same<Derived, OtherDerived>::value && Base::SizeAtCompileTime==Dynamic };
652       internal::matrix_swap_impl<Derived, OtherDerived, bool(SwapPointers)>::run(this->derived(), other.const_cast_derived());
653     }
654 
655   public:
656 #ifndef EIGEN_PARSED_BY_DOXYGEN
657     static EIGEN_STRONG_INLINE void _check_template_params()
658     {
659       EIGEN_STATIC_ASSERT((EIGEN_IMPLIES(MaxRowsAtCompileTime==1 && MaxColsAtCompileTime!=1, (Options&RowMajor)==RowMajor)
660                         && EIGEN_IMPLIES(MaxColsAtCompileTime==1 && MaxRowsAtCompileTime!=1, (Options&RowMajor)==0)
661                         && ((RowsAtCompileTime == Dynamic) || (RowsAtCompileTime >= 0))
662                         && ((ColsAtCompileTime == Dynamic) || (ColsAtCompileTime >= 0))
663                         && ((MaxRowsAtCompileTime == Dynamic) || (MaxRowsAtCompileTime >= 0))
664                         && ((MaxColsAtCompileTime == Dynamic) || (MaxColsAtCompileTime >= 0))
665                         && (MaxRowsAtCompileTime == RowsAtCompileTime || RowsAtCompileTime==Dynamic)
666                         && (MaxColsAtCompileTime == ColsAtCompileTime || ColsAtCompileTime==Dynamic)
667                         && (Options & (DontAlign|RowMajor)) == Options),
668         INVALID_MATRIX_TEMPLATE_PARAMETERS)
669     }
670 #endif
671 
672 private:
673     enum { ThisConstantIsPrivateInPlainObjectBase };
674 };
675 
676 namespace internal {
677 
678 template <typename Derived, typename OtherDerived, bool IsVector>
679 struct conservative_resize_like_impl
680 {
681   typedef typename Derived::Index Index;
682   static void run(DenseBase<Derived>& _this, Index rows, Index cols)
683   {
684     if (_this.rows() == rows && _this.cols() == cols) return;
685     EIGEN_STATIC_ASSERT_DYNAMIC_SIZE(Derived)
686 
687     if ( ( Derived::IsRowMajor && _this.cols() == cols) || // row-major and we change only the number of rows
688          (!Derived::IsRowMajor && _this.rows() == rows) )  // column-major and we change only the number of columns
689     {
690       internal::check_rows_cols_for_overflow<Derived::MaxSizeAtCompileTime>::run(rows, cols);
691       _this.derived().m_storage.conservativeResize(rows*cols,rows,cols);
692     }
693     else
694     {
695       // The storage order does not allow us to use reallocation.
696       typename Derived::PlainObject tmp(rows,cols);
697       const Index common_rows = (std::min)(rows, _this.rows());
698       const Index common_cols = (std::min)(cols, _this.cols());
699       tmp.block(0,0,common_rows,common_cols) = _this.block(0,0,common_rows,common_cols);
700       _this.derived().swap(tmp);
701     }
702   }
703 
704   static void run(DenseBase<Derived>& _this, const DenseBase<OtherDerived>& other)
705   {
706     if (_this.rows() == other.rows() && _this.cols() == other.cols()) return;
707 
708     // Note: Here is space for improvement. Basically, for conservativeResize(Index,Index),
709     // neither RowsAtCompileTime or ColsAtCompileTime must be Dynamic. If only one of the
710     // dimensions is dynamic, one could use either conservativeResize(Index rows, NoChange_t) or
711     // conservativeResize(NoChange_t, Index cols). For these methods new static asserts like
712     // EIGEN_STATIC_ASSERT_DYNAMIC_ROWS and EIGEN_STATIC_ASSERT_DYNAMIC_COLS would be good.
713     EIGEN_STATIC_ASSERT_DYNAMIC_SIZE(Derived)
714     EIGEN_STATIC_ASSERT_DYNAMIC_SIZE(OtherDerived)
715 
716     if ( ( Derived::IsRowMajor && _this.cols() == other.cols()) || // row-major and we change only the number of rows
717          (!Derived::IsRowMajor && _this.rows() == other.rows()) )  // column-major and we change only the number of columns
718     {
719       const Index new_rows = other.rows() - _this.rows();
720       const Index new_cols = other.cols() - _this.cols();
721       _this.derived().m_storage.conservativeResize(other.size(),other.rows(),other.cols());
722       if (new_rows>0)
723         _this.bottomRightCorner(new_rows, other.cols()) = other.bottomRows(new_rows);
724       else if (new_cols>0)
725         _this.bottomRightCorner(other.rows(), new_cols) = other.rightCols(new_cols);
726     }
727     else
728     {
729       // The storage order does not allow us to use reallocation.
730       typename Derived::PlainObject tmp(other);
731       const Index common_rows = (std::min)(tmp.rows(), _this.rows());
732       const Index common_cols = (std::min)(tmp.cols(), _this.cols());
733       tmp.block(0,0,common_rows,common_cols) = _this.block(0,0,common_rows,common_cols);
734       _this.derived().swap(tmp);
735     }
736   }
737 };
738 
739 // Here, the specialization for vectors inherits from the general matrix case
740 // to allow calling .conservativeResize(rows,cols) on vectors.
741 template <typename Derived, typename OtherDerived>
742 struct conservative_resize_like_impl<Derived,OtherDerived,true>
743   : conservative_resize_like_impl<Derived,OtherDerived,false>
744 {
745   using conservative_resize_like_impl<Derived,OtherDerived,false>::run;
746 
747   typedef typename Derived::Index Index;
748   static void run(DenseBase<Derived>& _this, Index size)
749   {
750     const Index new_rows = Derived::RowsAtCompileTime==1 ? 1 : size;
751     const Index new_cols = Derived::RowsAtCompileTime==1 ? size : 1;
752     _this.derived().m_storage.conservativeResize(size,new_rows,new_cols);
753   }
754 
755   static void run(DenseBase<Derived>& _this, const DenseBase<OtherDerived>& other)
756   {
757     if (_this.rows() == other.rows() && _this.cols() == other.cols()) return;
758 
759     const Index num_new_elements = other.size() - _this.size();
760 
761     const Index new_rows = Derived::RowsAtCompileTime==1 ? 1 : other.rows();
762     const Index new_cols = Derived::RowsAtCompileTime==1 ? other.cols() : 1;
763     _this.derived().m_storage.conservativeResize(other.size(),new_rows,new_cols);
764 
765     if (num_new_elements > 0)
766       _this.tail(num_new_elements) = other.tail(num_new_elements);
767   }
768 };
769 
770 template<typename MatrixTypeA, typename MatrixTypeB, bool SwapPointers>
771 struct matrix_swap_impl
772 {
773   static inline void run(MatrixTypeA& a, MatrixTypeB& b)
774   {
775     a.base().swap(b);
776   }
777 };
778 
779 template<typename MatrixTypeA, typename MatrixTypeB>
780 struct matrix_swap_impl<MatrixTypeA, MatrixTypeB, true>
781 {
782   static inline void run(MatrixTypeA& a, MatrixTypeB& b)
783   {
784     static_cast<typename MatrixTypeA::Base&>(a).m_storage.swap(static_cast<typename MatrixTypeB::Base&>(b).m_storage);
785   }
786 };
787 
788 } // end namespace internal
789 
790 } // end namespace Eigen
791 
792 #endif // EIGEN_DENSESTORAGEBASE_H
793