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+// This file is part of Eigen, a lightweight C++ template library
+// for linear algebra.
+//
+// Copyright (C) 2008-2009 Gael Guennebaud <gael.guennebaud@inria.fr>
+// Copyright (C) 2006-2008 Benoit Jacob <jacob.benoit.1@gmail.com>
+//
+// This Source Code Form is subject to the terms of the Mozilla
+// Public License v. 2.0. If a copy of the MPL was not distributed
+// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
+
+#ifndef EIGEN_DENSESTORAGEBASE_H
+#define EIGEN_DENSESTORAGEBASE_H
+
+#if defined(EIGEN_INITIALIZE_MATRICES_BY_ZERO)
+# define EIGEN_INITIALIZE_COEFFS
+# define EIGEN_INITIALIZE_COEFFS_IF_THAT_OPTION_IS_ENABLED for(int i=0;i<base().size();++i) coeffRef(i)=Scalar(0);
+#elif defined(EIGEN_INITIALIZE_MATRICES_BY_NAN)
+# define EIGEN_INITIALIZE_COEFFS
+# 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();
+#else
+# undef EIGEN_INITIALIZE_COEFFS
+# define EIGEN_INITIALIZE_COEFFS_IF_THAT_OPTION_IS_ENABLED
+#endif
+
+namespace Eigen {
+
+namespace internal {
+
+template<int MaxSizeAtCompileTime> struct check_rows_cols_for_overflow {
+ template<typename Index>
+ EIGEN_DEVICE_FUNC
+ static EIGEN_ALWAYS_INLINE void run(Index, Index)
+ {
+ }
+};
+
+template<> struct check_rows_cols_for_overflow<Dynamic> {
+ template<typename Index>
+ EIGEN_DEVICE_FUNC
+ static EIGEN_ALWAYS_INLINE void run(Index rows, Index cols)
+ {
+ // http://hg.mozilla.org/mozilla-central/file/6c8a909977d3/xpcom/ds/CheckedInt.h#l242
+ // we assume Index is signed
+ Index max_index = (size_t(1) << (8 * sizeof(Index) - 1)) - 1; // assume Index is signed
+ bool error = (rows == 0 || cols == 0) ? false
+ : (rows > max_index / cols);
+ if (error)
+ throw_std_bad_alloc();
+ }
+};
+
+template <typename Derived,
+ typename OtherDerived = Derived,
+ bool IsVector = bool(Derived::IsVectorAtCompileTime) && bool(OtherDerived::IsVectorAtCompileTime)>
+struct conservative_resize_like_impl;
+
+template<typename MatrixTypeA, typename MatrixTypeB, bool SwapPointers> struct matrix_swap_impl;
+
+} // end namespace internal
+
+/** \class PlainObjectBase
+ * \brief %Dense storage base class for matrices and arrays.
+ *
+ * This class can be extended with the help of the plugin mechanism described on the page
+ * \ref TopicCustomizingEigen by defining the preprocessor symbol \c EIGEN_PLAINOBJECTBASE_PLUGIN.
+ *
+ * \sa \ref TopicClassHierarchy
+ */
+#ifdef EIGEN_PARSED_BY_DOXYGEN
+namespace internal {
+
+// this is a warkaround to doxygen not being able to understand the inheritence logic
+// when it is hidden by the dense_xpr_base helper struct.
+template<typename Derived> struct dense_xpr_base_dispatcher_for_doxygen;// : public MatrixBase<Derived> {};
+/** This class is just a workaround for Doxygen and it does not not actually exist. */
+template<typename _Scalar, int _Rows, int _Cols, int _Options, int _MaxRows, int _MaxCols>
+struct dense_xpr_base_dispatcher_for_doxygen<Matrix<_Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols> >
+ : public MatrixBase<Matrix<_Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols> > {};
+/** This class is just a workaround for Doxygen and it does not not actually exist. */
+template<typename _Scalar, int _Rows, int _Cols, int _Options, int _MaxRows, int _MaxCols>
+struct dense_xpr_base_dispatcher_for_doxygen<Array<_Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols> >
+ : public ArrayBase<Array<_Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols> > {};
+
+} // namespace internal
+
+template<typename Derived>
+class PlainObjectBase : public internal::dense_xpr_base_dispatcher_for_doxygen<Derived>
+#else
+template<typename Derived>
+class PlainObjectBase : public internal::dense_xpr_base<Derived>::type
+#endif
+{
+ public:
+ enum { Options = internal::traits<Derived>::Options };
+ typedef typename internal::dense_xpr_base<Derived>::type Base;
+
+ typedef typename internal::traits<Derived>::StorageKind StorageKind;
+ typedef typename internal::traits<Derived>::Index Index;
+ typedef typename internal::traits<Derived>::Scalar Scalar;
+ typedef typename internal::packet_traits<Scalar>::type PacketScalar;
+ typedef typename NumTraits<Scalar>::Real RealScalar;
+ typedef Derived DenseType;
+
+ using Base::RowsAtCompileTime;
+ using Base::ColsAtCompileTime;
+ using Base::SizeAtCompileTime;
+ using Base::MaxRowsAtCompileTime;
+ using Base::MaxColsAtCompileTime;
+ using Base::MaxSizeAtCompileTime;
+ using Base::IsVectorAtCompileTime;
+ using Base::Flags;
+
+ template<typename PlainObjectType, int MapOptions, typename StrideType> friend class Eigen::Map;
+ friend class Eigen::Map<Derived, Unaligned>;
+ typedef Eigen::Map<Derived, Unaligned> MapType;
+ friend class Eigen::Map<const Derived, Unaligned>;
+ typedef const Eigen::Map<const Derived, Unaligned> ConstMapType;
+ friend class Eigen::Map<Derived, Aligned>;
+ typedef Eigen::Map<Derived, Aligned> AlignedMapType;
+ friend class Eigen::Map<const Derived, Aligned>;
+ typedef const Eigen::Map<const Derived, Aligned> ConstAlignedMapType;
+ template<typename StrideType> struct StridedMapType { typedef Eigen::Map<Derived, Unaligned, StrideType> type; };
+ template<typename StrideType> struct StridedConstMapType { typedef Eigen::Map<const Derived, Unaligned, StrideType> type; };
+ template<typename StrideType> struct StridedAlignedMapType { typedef Eigen::Map<Derived, Aligned, StrideType> type; };
+ template<typename StrideType> struct StridedConstAlignedMapType { typedef Eigen::Map<const Derived, Aligned, StrideType> type; };
+
+ protected:
+ DenseStorage<Scalar, Base::MaxSizeAtCompileTime, Base::RowsAtCompileTime, Base::ColsAtCompileTime, Options> m_storage;
+
+ public:
+ enum { NeedsToAlign = SizeAtCompileTime != Dynamic && (internal::traits<Derived>::Flags & AlignedBit) != 0 };
+ EIGEN_MAKE_ALIGNED_OPERATOR_NEW_IF(NeedsToAlign)
+
+ EIGEN_DEVICE_FUNC
+ Base& base() { return *static_cast<Base*>(this); }
+ EIGEN_DEVICE_FUNC
+ const Base& base() const { return *static_cast<const Base*>(this); }
+
+ EIGEN_DEVICE_FUNC
+ EIGEN_STRONG_INLINE Index rows() const { return m_storage.rows(); }
+ EIGEN_DEVICE_FUNC
+ EIGEN_STRONG_INLINE Index cols() const { return m_storage.cols(); }
+
+ EIGEN_DEVICE_FUNC
+ EIGEN_STRONG_INLINE const Scalar& coeff(Index rowId, Index colId) const
+ {
+ if(Flags & RowMajorBit)
+ return m_storage.data()[colId + rowId * m_storage.cols()];
+ else // column-major
+ return m_storage.data()[rowId + colId * m_storage.rows()];
+ }
+
+ EIGEN_DEVICE_FUNC
+ EIGEN_STRONG_INLINE const Scalar& coeff(Index index) const
+ {
+ return m_storage.data()[index];
+ }
+
+ EIGEN_DEVICE_FUNC
+ EIGEN_STRONG_INLINE Scalar& coeffRef(Index rowId, Index colId)
+ {
+ if(Flags & RowMajorBit)
+ return m_storage.data()[colId + rowId * m_storage.cols()];
+ else // column-major
+ return m_storage.data()[rowId + colId * m_storage.rows()];
+ }
+
+ EIGEN_DEVICE_FUNC
+ EIGEN_STRONG_INLINE Scalar& coeffRef(Index index)
+ {
+ return m_storage.data()[index];
+ }
+
+ EIGEN_DEVICE_FUNC
+ EIGEN_STRONG_INLINE const Scalar& coeffRef(Index rowId, Index colId) const
+ {
+ if(Flags & RowMajorBit)
+ return m_storage.data()[colId + rowId * m_storage.cols()];
+ else // column-major
+ return m_storage.data()[rowId + colId * m_storage.rows()];
+ }
+
+ EIGEN_DEVICE_FUNC
+ EIGEN_STRONG_INLINE const Scalar& coeffRef(Index index) const
+ {
+ return m_storage.data()[index];
+ }
+
+ /** \internal */
+ template<int LoadMode>
+ EIGEN_STRONG_INLINE PacketScalar packet(Index rowId, Index colId) const
+ {
+ return internal::ploadt<PacketScalar, LoadMode>
+ (m_storage.data() + (Flags & RowMajorBit
+ ? colId + rowId * m_storage.cols()
+ : rowId + colId * m_storage.rows()));
+ }
+
+ /** \internal */
+ template<int LoadMode>
+ EIGEN_STRONG_INLINE PacketScalar packet(Index index) const
+ {
+ return internal::ploadt<PacketScalar, LoadMode>(m_storage.data() + index);
+ }
+
+ /** \internal */
+ template<int StoreMode>
+ EIGEN_STRONG_INLINE void writePacket(Index rowId, Index colId, const PacketScalar& val)
+ {
+ internal::pstoret<Scalar, PacketScalar, StoreMode>
+ (m_storage.data() + (Flags & RowMajorBit
+ ? colId + rowId * m_storage.cols()
+ : rowId + colId * m_storage.rows()), val);
+ }
+
+ /** \internal */
+ template<int StoreMode>
+ EIGEN_STRONG_INLINE void writePacket(Index index, const PacketScalar& val)
+ {
+ internal::pstoret<Scalar, PacketScalar, StoreMode>(m_storage.data() + index, val);
+ }
+
+ /** \returns a const pointer to the data array of this matrix */
+ EIGEN_STRONG_INLINE const Scalar *data() const
+ { return m_storage.data(); }
+
+ /** \returns a pointer to the data array of this matrix */
+ EIGEN_STRONG_INLINE Scalar *data()
+ { return m_storage.data(); }
+
+ /** Resizes \c *this to a \a rows x \a cols matrix.
+ *
+ * This method is intended for dynamic-size matrices, although it is legal to call it on any
+ * matrix as long as fixed dimensions are left unchanged. If you only want to change the number
+ * of rows and/or of columns, you can use resize(NoChange_t, Index), resize(Index, NoChange_t).
+ *
+ * If the current number of coefficients of \c *this exactly matches the
+ * product \a rows * \a cols, then no memory allocation is performed and
+ * the current values are left unchanged. In all other cases, including
+ * shrinking, the data is reallocated and all previous values are lost.
+ *
+ * Example: \include Matrix_resize_int_int.cpp
+ * Output: \verbinclude Matrix_resize_int_int.out
+ *
+ * \sa resize(Index) for vectors, resize(NoChange_t, Index), resize(Index, NoChange_t)
+ */
+ EIGEN_DEVICE_FUNC
+ EIGEN_STRONG_INLINE void resize(Index nbRows, Index nbCols)
+ {
+ eigen_assert( EIGEN_IMPLIES(RowsAtCompileTime!=Dynamic,nbRows==RowsAtCompileTime)
+ && EIGEN_IMPLIES(ColsAtCompileTime!=Dynamic,nbCols==ColsAtCompileTime)
+ && EIGEN_IMPLIES(RowsAtCompileTime==Dynamic && MaxRowsAtCompileTime!=Dynamic,nbRows<=MaxRowsAtCompileTime)
+ && EIGEN_IMPLIES(ColsAtCompileTime==Dynamic && MaxColsAtCompileTime!=Dynamic,nbCols<=MaxColsAtCompileTime)
+ && nbRows>=0 && nbCols>=0 && "Invalid sizes when resizing a matrix or array.");
+ internal::check_rows_cols_for_overflow<MaxSizeAtCompileTime>::run(nbRows, nbCols);
+ #ifdef EIGEN_INITIALIZE_COEFFS
+ Index size = nbRows*nbCols;
+ bool size_changed = size != this->size();
+ m_storage.resize(size, nbRows, nbCols);
+ if(size_changed) EIGEN_INITIALIZE_COEFFS_IF_THAT_OPTION_IS_ENABLED
+ #else
+ m_storage.resize(nbRows*nbCols, nbRows, nbCols);
+ #endif
+ }
+
+ /** Resizes \c *this to a vector of length \a size
+ *
+ * \only_for_vectors. This method does not work for
+ * partially dynamic matrices when the static dimension is anything other
+ * than 1. For example it will not work with Matrix<double, 2, Dynamic>.
+ *
+ * Example: \include Matrix_resize_int.cpp
+ * Output: \verbinclude Matrix_resize_int.out
+ *
+ * \sa resize(Index,Index), resize(NoChange_t, Index), resize(Index, NoChange_t)
+ */
+ EIGEN_DEVICE_FUNC
+ inline void resize(Index size)
+ {
+ EIGEN_STATIC_ASSERT_VECTOR_ONLY(PlainObjectBase)
+ eigen_assert(((SizeAtCompileTime == Dynamic && (MaxSizeAtCompileTime==Dynamic || size<=MaxSizeAtCompileTime)) || SizeAtCompileTime == size) && size>=0);
+ #ifdef EIGEN_INITIALIZE_COEFFS
+ bool size_changed = size != this->size();
+ #endif
+ if(RowsAtCompileTime == 1)
+ m_storage.resize(size, 1, size);
+ else
+ m_storage.resize(size, size, 1);
+ #ifdef EIGEN_INITIALIZE_COEFFS
+ if(size_changed) EIGEN_INITIALIZE_COEFFS_IF_THAT_OPTION_IS_ENABLED
+ #endif
+ }
+
+ /** Resizes the matrix, changing only the number of columns. For the parameter of type NoChange_t, just pass the special value \c NoChange
+ * as in the example below.
+ *
+ * Example: \include Matrix_resize_NoChange_int.cpp
+ * Output: \verbinclude Matrix_resize_NoChange_int.out
+ *
+ * \sa resize(Index,Index)
+ */
+ EIGEN_DEVICE_FUNC
+ inline void resize(NoChange_t, Index nbCols)
+ {
+ resize(rows(), nbCols);
+ }
+
+ /** Resizes the matrix, changing only the number of rows. For the parameter of type NoChange_t, just pass the special value \c NoChange
+ * as in the example below.
+ *
+ * Example: \include Matrix_resize_int_NoChange.cpp
+ * Output: \verbinclude Matrix_resize_int_NoChange.out
+ *
+ * \sa resize(Index,Index)
+ */
+ EIGEN_DEVICE_FUNC
+ inline void resize(Index nbRows, NoChange_t)
+ {
+ resize(nbRows, cols());
+ }
+
+ /** Resizes \c *this to have the same dimensions as \a other.
+ * Takes care of doing all the checking that's needed.
+ *
+ * Note that copying a row-vector into a vector (and conversely) is allowed.
+ * The resizing, if any, is then done in the appropriate way so that row-vectors
+ * remain row-vectors and vectors remain vectors.
+ */
+ template<typename OtherDerived>
+ EIGEN_DEVICE_FUNC
+ EIGEN_STRONG_INLINE void resizeLike(const EigenBase<OtherDerived>& _other)
+ {
+ const OtherDerived& other = _other.derived();
+ internal::check_rows_cols_for_overflow<MaxSizeAtCompileTime>::run(other.rows(), other.cols());
+ const Index othersize = other.rows()*other.cols();
+ if(RowsAtCompileTime == 1)
+ {
+ eigen_assert(other.rows() == 1 || other.cols() == 1);
+ resize(1, othersize);
+ }
+ else if(ColsAtCompileTime == 1)
+ {
+ eigen_assert(other.rows() == 1 || other.cols() == 1);
+ resize(othersize, 1);
+ }
+ else resize(other.rows(), other.cols());
+ }
+
+ /** Resizes the matrix to \a rows x \a cols while leaving old values untouched.
+ *
+ * The method is intended for matrices of dynamic size. If you only want to change the number
+ * of rows and/or of columns, you can use conservativeResize(NoChange_t, Index) or
+ * conservativeResize(Index, NoChange_t).
+ *
+ * Matrices are resized relative to the top-left element. In case values need to be
+ * appended to the matrix they will be uninitialized.
+ */
+ EIGEN_DEVICE_FUNC
+ EIGEN_STRONG_INLINE void conservativeResize(Index nbRows, Index nbCols)
+ {
+ internal::conservative_resize_like_impl<Derived>::run(*this, nbRows, nbCols);
+ }
+
+ /** Resizes the matrix to \a rows x \a cols while leaving old values untouched.
+ *
+ * As opposed to conservativeResize(Index rows, Index cols), this version leaves
+ * the number of columns unchanged.
+ *
+ * In case the matrix is growing, new rows will be uninitialized.
+ */
+ EIGEN_DEVICE_FUNC
+ EIGEN_STRONG_INLINE void conservativeResize(Index nbRows, NoChange_t)
+ {
+ // Note: see the comment in conservativeResize(Index,Index)
+ conservativeResize(nbRows, cols());
+ }
+
+ /** Resizes the matrix to \a rows x \a cols while leaving old values untouched.
+ *
+ * As opposed to conservativeResize(Index rows, Index cols), this version leaves
+ * the number of rows unchanged.
+ *
+ * In case the matrix is growing, new columns will be uninitialized.
+ */
+ EIGEN_DEVICE_FUNC
+ EIGEN_STRONG_INLINE void conservativeResize(NoChange_t, Index nbCols)
+ {
+ // Note: see the comment in conservativeResize(Index,Index)
+ conservativeResize(rows(), nbCols);
+ }
+
+ /** Resizes the vector to \a size while retaining old values.
+ *
+ * \only_for_vectors. This method does not work for
+ * partially dynamic matrices when the static dimension is anything other
+ * than 1. For example it will not work with Matrix<double, 2, Dynamic>.
+ *
+ * When values are appended, they will be uninitialized.
+ */
+ EIGEN_DEVICE_FUNC
+ EIGEN_STRONG_INLINE void conservativeResize(Index size)
+ {
+ internal::conservative_resize_like_impl<Derived>::run(*this, size);
+ }
+
+ /** Resizes the matrix to \a rows x \a cols of \c other, while leaving old values untouched.
+ *
+ * The method is intended for matrices of dynamic size. If you only want to change the number
+ * of rows and/or of columns, you can use conservativeResize(NoChange_t, Index) or
+ * conservativeResize(Index, NoChange_t).
+ *
+ * Matrices are resized relative to the top-left element. In case values need to be
+ * appended to the matrix they will copied from \c other.
+ */
+ template<typename OtherDerived>
+ EIGEN_DEVICE_FUNC
+ EIGEN_STRONG_INLINE void conservativeResizeLike(const DenseBase<OtherDerived>& other)
+ {
+ internal::conservative_resize_like_impl<Derived,OtherDerived>::run(*this, other);
+ }
+
+ /** This is a special case of the templated operator=. Its purpose is to
+ * prevent a default operator= from hiding the templated operator=.
+ */
+ EIGEN_DEVICE_FUNC
+ EIGEN_STRONG_INLINE Derived& operator=(const PlainObjectBase& other)
+ {
+ return _set(other);
+ }
+
+ /** \sa MatrixBase::lazyAssign() */
+ template<typename OtherDerived>
+ EIGEN_DEVICE_FUNC
+ EIGEN_STRONG_INLINE Derived& lazyAssign(const DenseBase<OtherDerived>& other)
+ {
+ _resize_to_match(other);
+ return Base::lazyAssign(other.derived());
+ }
+
+ template<typename OtherDerived>
+ EIGEN_DEVICE_FUNC
+ EIGEN_STRONG_INLINE Derived& operator=(const ReturnByValue<OtherDerived>& func)
+ {
+ resize(func.rows(), func.cols());
+ return Base::operator=(func);
+ }
+
+ EIGEN_DEVICE_FUNC
+ EIGEN_STRONG_INLINE PlainObjectBase() : m_storage()
+ {
+// _check_template_params();
+// EIGEN_INITIALIZE_COEFFS_IF_THAT_OPTION_IS_ENABLED
+ }
+
+#ifndef EIGEN_PARSED_BY_DOXYGEN
+ // FIXME is it still needed ?
+ /** \internal */
+ EIGEN_DEVICE_FUNC
+ PlainObjectBase(internal::constructor_without_unaligned_array_assert)
+ : m_storage(internal::constructor_without_unaligned_array_assert())
+ {
+// _check_template_params(); EIGEN_INITIALIZE_COEFFS_IF_THAT_OPTION_IS_ENABLED
+ }
+#endif
+
+#ifdef EIGEN_HAVE_RVALUE_REFERENCES
+ EIGEN_DEVICE_FUNC
+ PlainObjectBase(PlainObjectBase&& other)
+ : m_storage( std::move(other.m_storage) )
+ {
+ }
+
+ EIGEN_DEVICE_FUNC
+ PlainObjectBase& operator=(PlainObjectBase&& other)
+ {
+ using std::swap;
+ swap(m_storage, other.m_storage);
+ return *this;
+ }
+#endif
+
+ EIGEN_DEVICE_FUNC
+ EIGEN_STRONG_INLINE PlainObjectBase(Index a_size, Index nbRows, Index nbCols)
+ : m_storage(a_size, nbRows, nbCols)
+ {
+// _check_template_params();
+// EIGEN_INITIALIZE_COEFFS_IF_THAT_OPTION_IS_ENABLED
+ }
+
+ /** \copydoc MatrixBase::operator=(const EigenBase<OtherDerived>&)
+ */
+ template<typename OtherDerived>
+ EIGEN_DEVICE_FUNC
+ EIGEN_STRONG_INLINE Derived& operator=(const EigenBase<OtherDerived> &other)
+ {
+ _resize_to_match(other);
+ Base::operator=(other.derived());
+ return this->derived();
+ }
+
+ /** \sa MatrixBase::operator=(const EigenBase<OtherDerived>&) */
+ template<typename OtherDerived>
+ EIGEN_DEVICE_FUNC
+ EIGEN_STRONG_INLINE PlainObjectBase(const EigenBase<OtherDerived> &other)
+ : m_storage(other.derived().rows() * other.derived().cols(), other.derived().rows(), other.derived().cols())
+ {
+ _check_template_params();
+ internal::check_rows_cols_for_overflow<MaxSizeAtCompileTime>::run(other.derived().rows(), other.derived().cols());
+ Base::operator=(other.derived());
+ }
+
+ /** \name Map
+ * These are convenience functions returning Map objects. The Map() static functions return unaligned Map objects,
+ * while the AlignedMap() functions return aligned Map objects and thus should be called only with 16-byte-aligned
+ * \a data pointers.
+ *
+ * \see class Map
+ */
+ //@{
+ static inline ConstMapType Map(const Scalar* data)
+ { return ConstMapType(data); }
+ static inline MapType Map(Scalar* data)
+ { return MapType(data); }
+ static inline ConstMapType Map(const Scalar* data, Index size)
+ { return ConstMapType(data, size); }
+ static inline MapType Map(Scalar* data, Index size)
+ { return MapType(data, size); }
+ static inline ConstMapType Map(const Scalar* data, Index rows, Index cols)
+ { return ConstMapType(data, rows, cols); }
+ static inline MapType Map(Scalar* data, Index rows, Index cols)
+ { return MapType(data, rows, cols); }
+
+ static inline ConstAlignedMapType MapAligned(const Scalar* data)
+ { return ConstAlignedMapType(data); }
+ static inline AlignedMapType MapAligned(Scalar* data)
+ { return AlignedMapType(data); }
+ static inline ConstAlignedMapType MapAligned(const Scalar* data, Index size)
+ { return ConstAlignedMapType(data, size); }
+ static inline AlignedMapType MapAligned(Scalar* data, Index size)
+ { return AlignedMapType(data, size); }
+ static inline ConstAlignedMapType MapAligned(const Scalar* data, Index rows, Index cols)
+ { return ConstAlignedMapType(data, rows, cols); }
+ static inline AlignedMapType MapAligned(Scalar* data, Index rows, Index cols)
+ { return AlignedMapType(data, rows, cols); }
+
+ template<int Outer, int Inner>
+ static inline typename StridedConstMapType<Stride<Outer, Inner> >::type Map(const Scalar* data, const Stride<Outer, Inner>& stride)
+ { return typename StridedConstMapType<Stride<Outer, Inner> >::type(data, stride); }
+ template<int Outer, int Inner>
+ static inline typename StridedMapType<Stride<Outer, Inner> >::type Map(Scalar* data, const Stride<Outer, Inner>& stride)
+ { return typename StridedMapType<Stride<Outer, Inner> >::type(data, stride); }
+ template<int Outer, int Inner>
+ static inline typename StridedConstMapType<Stride<Outer, Inner> >::type Map(const Scalar* data, Index size, const Stride<Outer, Inner>& stride)
+ { return typename StridedConstMapType<Stride<Outer, Inner> >::type(data, size, stride); }
+ template<int Outer, int Inner>
+ static inline typename StridedMapType<Stride<Outer, Inner> >::type Map(Scalar* data, Index size, const Stride<Outer, Inner>& stride)
+ { return typename StridedMapType<Stride<Outer, Inner> >::type(data, size, stride); }
+ template<int Outer, int Inner>
+ static inline typename StridedConstMapType<Stride<Outer, Inner> >::type Map(const Scalar* data, Index rows, Index cols, const Stride<Outer, Inner>& stride)
+ { return typename StridedConstMapType<Stride<Outer, Inner> >::type(data, rows, cols, stride); }
+ template<int Outer, int Inner>
+ static inline typename StridedMapType<Stride<Outer, Inner> >::type Map(Scalar* data, Index rows, Index cols, const Stride<Outer, Inner>& stride)
+ { return typename StridedMapType<Stride<Outer, Inner> >::type(data, rows, cols, stride); }
+
+ template<int Outer, int Inner>
+ static inline typename StridedConstAlignedMapType<Stride<Outer, Inner> >::type MapAligned(const Scalar* data, const Stride<Outer, Inner>& stride)
+ { return typename StridedConstAlignedMapType<Stride<Outer, Inner> >::type(data, stride); }
+ template<int Outer, int Inner>
+ static inline typename StridedAlignedMapType<Stride<Outer, Inner> >::type MapAligned(Scalar* data, const Stride<Outer, Inner>& stride)
+ { return typename StridedAlignedMapType<Stride<Outer, Inner> >::type(data, stride); }
+ template<int Outer, int Inner>
+ static inline typename StridedConstAlignedMapType<Stride<Outer, Inner> >::type MapAligned(const Scalar* data, Index size, const Stride<Outer, Inner>& stride)
+ { return typename StridedConstAlignedMapType<Stride<Outer, Inner> >::type(data, size, stride); }
+ template<int Outer, int Inner>
+ static inline typename StridedAlignedMapType<Stride<Outer, Inner> >::type MapAligned(Scalar* data, Index size, const Stride<Outer, Inner>& stride)
+ { return typename StridedAlignedMapType<Stride<Outer, Inner> >::type(data, size, stride); }
+ template<int Outer, int Inner>
+ static inline typename StridedConstAlignedMapType<Stride<Outer, Inner> >::type MapAligned(const Scalar* data, Index rows, Index cols, const Stride<Outer, Inner>& stride)
+ { return typename StridedConstAlignedMapType<Stride<Outer, Inner> >::type(data, rows, cols, stride); }
+ template<int Outer, int Inner>
+ static inline typename StridedAlignedMapType<Stride<Outer, Inner> >::type MapAligned(Scalar* data, Index rows, Index cols, const Stride<Outer, Inner>& stride)
+ { return typename StridedAlignedMapType<Stride<Outer, Inner> >::type(data, rows, cols, stride); }
+ //@}
+
+ using Base::setConstant;
+ EIGEN_DEVICE_FUNC Derived& setConstant(Index size, const Scalar& value);
+ EIGEN_DEVICE_FUNC Derived& setConstant(Index rows, Index cols, const Scalar& value);
+
+ using Base::setZero;
+ EIGEN_DEVICE_FUNC Derived& setZero(Index size);
+ EIGEN_DEVICE_FUNC Derived& setZero(Index rows, Index cols);
+
+ using Base::setOnes;
+ EIGEN_DEVICE_FUNC Derived& setOnes(Index size);
+ EIGEN_DEVICE_FUNC Derived& setOnes(Index rows, Index cols);
+
+ using Base::setRandom;
+ Derived& setRandom(Index size);
+ Derived& setRandom(Index rows, Index cols);
+
+ #ifdef EIGEN_PLAINOBJECTBASE_PLUGIN
+ #include EIGEN_PLAINOBJECTBASE_PLUGIN
+ #endif
+
+ protected:
+ /** \internal Resizes *this in preparation for assigning \a other to it.
+ * Takes care of doing all the checking that's needed.
+ *
+ * Note that copying a row-vector into a vector (and conversely) is allowed.
+ * The resizing, if any, is then done in the appropriate way so that row-vectors
+ * remain row-vectors and vectors remain vectors.
+ */
+ template<typename OtherDerived>
+ EIGEN_DEVICE_FUNC
+ EIGEN_STRONG_INLINE void _resize_to_match(const EigenBase<OtherDerived>& other)
+ {
+ #ifdef EIGEN_NO_AUTOMATIC_RESIZING
+ eigen_assert((this->size()==0 || (IsVectorAtCompileTime ? (this->size() == other.size())
+ : (rows() == other.rows() && cols() == other.cols())))
+ && "Size mismatch. Automatic resizing is disabled because EIGEN_NO_AUTOMATIC_RESIZING is defined");
+ EIGEN_ONLY_USED_FOR_DEBUG(other);
+ #else
+ resizeLike(other);
+ #endif
+ }
+
+ /**
+ * \brief Copies the value of the expression \a other into \c *this with automatic resizing.
+ *
+ * *this might be resized to match the dimensions of \a other. If *this was a null matrix (not already initialized),
+ * it will be initialized.
+ *
+ * Note that copying a row-vector into a vector (and conversely) is allowed.
+ * The resizing, if any, is then done in the appropriate way so that row-vectors
+ * remain row-vectors and vectors remain vectors.
+ *
+ * \sa operator=(const MatrixBase<OtherDerived>&), _set_noalias()
+ *
+ * \internal
+ */
+ template<typename OtherDerived>
+ EIGEN_DEVICE_FUNC
+ EIGEN_STRONG_INLINE Derived& _set(const DenseBase<OtherDerived>& other)
+ {
+ _set_selector(other.derived(), typename internal::conditional<static_cast<bool>(int(OtherDerived::Flags) & EvalBeforeAssigningBit), internal::true_type, internal::false_type>::type());
+ return this->derived();
+ }
+
+ template<typename OtherDerived>
+ EIGEN_DEVICE_FUNC
+ EIGEN_STRONG_INLINE void _set_selector(const OtherDerived& other, const internal::true_type&) { _set_noalias(other.eval()); }
+
+ template<typename OtherDerived>
+ EIGEN_DEVICE_FUNC
+ EIGEN_STRONG_INLINE void _set_selector(const OtherDerived& other, const internal::false_type&) { _set_noalias(other); }
+
+ /** \internal Like _set() but additionally makes the assumption that no aliasing effect can happen (which
+ * is the case when creating a new matrix) so one can enforce lazy evaluation.
+ *
+ * \sa operator=(const MatrixBase<OtherDerived>&), _set()
+ */
+ template<typename OtherDerived>
+ EIGEN_DEVICE_FUNC
+ EIGEN_STRONG_INLINE Derived& _set_noalias(const DenseBase<OtherDerived>& other)
+ {
+ // I don't think we need this resize call since the lazyAssign will anyways resize
+ // and lazyAssign will be called by the assign selector.
+ //_resize_to_match(other);
+ // the 'false' below means to enforce lazy evaluation. We don't use lazyAssign() because
+ // it wouldn't allow to copy a row-vector into a column-vector.
+ return internal::assign_selector<Derived,OtherDerived,false>::run(this->derived(), other.derived());
+ }
+
+ template<typename T0, typename T1>
+ EIGEN_DEVICE_FUNC
+ EIGEN_STRONG_INLINE void _init2(Index nbRows, Index nbCols, typename internal::enable_if<Base::SizeAtCompileTime!=2,T0>::type* = 0)
+ {
+ EIGEN_STATIC_ASSERT(bool(NumTraits<T0>::IsInteger) &&
+ bool(NumTraits<T1>::IsInteger),
+ FLOATING_POINT_ARGUMENT_PASSED__INTEGER_WAS_EXPECTED)
+ resize(nbRows,nbCols);
+ }
+ template<typename T0, typename T1>
+ EIGEN_DEVICE_FUNC
+ EIGEN_STRONG_INLINE void _init2(const Scalar& val0, const Scalar& val1, typename internal::enable_if<Base::SizeAtCompileTime==2,T0>::type* = 0)
+ {
+ EIGEN_STATIC_ASSERT_VECTOR_SPECIFIC_SIZE(PlainObjectBase, 2)
+ m_storage.data()[0] = val0;
+ m_storage.data()[1] = val1;
+ }
+
+ template<typename T>
+ EIGEN_DEVICE_FUNC
+ EIGEN_STRONG_INLINE void _init1(Index size, typename internal::enable_if<Base::SizeAtCompileTime!=1,T>::type* = 0)
+ {
+ EIGEN_STATIC_ASSERT(bool(NumTraits<T>::IsInteger),
+ FLOATING_POINT_ARGUMENT_PASSED__INTEGER_WAS_EXPECTED)
+ resize(size);
+ }
+ template<typename T>
+ EIGEN_DEVICE_FUNC
+ EIGEN_STRONG_INLINE void _init1(const Scalar& val0, typename internal::enable_if<Base::SizeAtCompileTime==1,T>::type* = 0)
+ {
+ EIGEN_STATIC_ASSERT_VECTOR_SPECIFIC_SIZE(PlainObjectBase, 1)
+ m_storage.data()[0] = val0;
+ }
+
+ template<typename T>
+ EIGEN_DEVICE_FUNC
+ EIGEN_STRONG_INLINE void _init1(const Scalar* data){
+ this->_set_noalias(ConstMapType(data));
+ }
+
+ template<typename T, typename OtherDerived>
+ EIGEN_DEVICE_FUNC
+ EIGEN_STRONG_INLINE void _init1(const DenseBase<OtherDerived>& other){
+ this->_set_noalias(other);
+ }
+
+ template<typename T, typename OtherDerived>
+ EIGEN_DEVICE_FUNC
+ EIGEN_STRONG_INLINE void _init1(const EigenBase<OtherDerived>& other){
+ this->derived() = other;
+ }
+
+ template<typename T, typename OtherDerived>
+ EIGEN_DEVICE_FUNC
+ EIGEN_STRONG_INLINE void _init1(const ReturnByValue<OtherDerived>& other)
+ {
+ resize(other.rows(), other.cols());
+ other.evalTo(this->derived());
+ }
+
+ template<typename T, typename OtherDerived, int ColsAtCompileTime>
+ EIGEN_DEVICE_FUNC
+ EIGEN_STRONG_INLINE void _init1(const RotationBase<OtherDerived,ColsAtCompileTime>& r)
+ {
+ this->derived() = r;
+ }
+
+ template<typename MatrixTypeA, typename MatrixTypeB, bool SwapPointers>
+ friend struct internal::matrix_swap_impl;
+
+ /** \internal generic implementation of swap for dense storage since for dynamic-sized matrices of same type it is enough to swap the
+ * data pointers.
+ */
+ template<typename OtherDerived>
+ EIGEN_DEVICE_FUNC
+ void _swap(DenseBase<OtherDerived> const & other)
+ {
+ enum { SwapPointers = internal::is_same<Derived, OtherDerived>::value && Base::SizeAtCompileTime==Dynamic };
+ internal::matrix_swap_impl<Derived, OtherDerived, bool(SwapPointers)>::run(this->derived(), other.const_cast_derived());
+ }
+
+ public:
+#ifndef EIGEN_PARSED_BY_DOXYGEN
+ EIGEN_DEVICE_FUNC
+ static EIGEN_STRONG_INLINE void _check_template_params()
+ {
+ EIGEN_STATIC_ASSERT((EIGEN_IMPLIES(MaxRowsAtCompileTime==1 && MaxColsAtCompileTime!=1, (Options&RowMajor)==RowMajor)
+ && EIGEN_IMPLIES(MaxColsAtCompileTime==1 && MaxRowsAtCompileTime!=1, (Options&RowMajor)==0)
+ && ((RowsAtCompileTime == Dynamic) || (RowsAtCompileTime >= 0))
+ && ((ColsAtCompileTime == Dynamic) || (ColsAtCompileTime >= 0))
+ && ((MaxRowsAtCompileTime == Dynamic) || (MaxRowsAtCompileTime >= 0))
+ && ((MaxColsAtCompileTime == Dynamic) || (MaxColsAtCompileTime >= 0))
+ && (MaxRowsAtCompileTime == RowsAtCompileTime || RowsAtCompileTime==Dynamic)
+ && (MaxColsAtCompileTime == ColsAtCompileTime || ColsAtCompileTime==Dynamic)
+ && (Options & (DontAlign|RowMajor)) == Options),
+ INVALID_MATRIX_TEMPLATE_PARAMETERS)
+ }
+#endif
+
+private:
+ enum { ThisConstantIsPrivateInPlainObjectBase };
+};
+
+namespace internal {
+
+template <typename Derived, typename OtherDerived, bool IsVector>
+struct conservative_resize_like_impl
+{
+ typedef typename Derived::Index Index;
+ static void run(DenseBase<Derived>& _this, Index rows, Index cols)
+ {
+ if (_this.rows() == rows && _this.cols() == cols) return;
+ EIGEN_STATIC_ASSERT_DYNAMIC_SIZE(Derived)
+
+ if ( ( Derived::IsRowMajor && _this.cols() == cols) || // row-major and we change only the number of rows
+ (!Derived::IsRowMajor && _this.rows() == rows) ) // column-major and we change only the number of columns
+ {
+ internal::check_rows_cols_for_overflow<Derived::MaxSizeAtCompileTime>::run(rows, cols);
+ _this.derived().m_storage.conservativeResize(rows*cols,rows,cols);
+ }
+ else
+ {
+ // The storage order does not allow us to use reallocation.
+ typename Derived::PlainObject tmp(rows,cols);
+ const Index common_rows = (std::min)(rows, _this.rows());
+ const Index common_cols = (std::min)(cols, _this.cols());
+ tmp.block(0,0,common_rows,common_cols) = _this.block(0,0,common_rows,common_cols);
+ _this.derived().swap(tmp);
+ }
+ }
+
+ static void run(DenseBase<Derived>& _this, const DenseBase<OtherDerived>& other)
+ {
+ if (_this.rows() == other.rows() && _this.cols() == other.cols()) return;
+
+ // Note: Here is space for improvement. Basically, for conservativeResize(Index,Index),
+ // neither RowsAtCompileTime or ColsAtCompileTime must be Dynamic. If only one of the
+ // dimensions is dynamic, one could use either conservativeResize(Index rows, NoChange_t) or
+ // conservativeResize(NoChange_t, Index cols). For these methods new static asserts like
+ // EIGEN_STATIC_ASSERT_DYNAMIC_ROWS and EIGEN_STATIC_ASSERT_DYNAMIC_COLS would be good.
+ EIGEN_STATIC_ASSERT_DYNAMIC_SIZE(Derived)
+ EIGEN_STATIC_ASSERT_DYNAMIC_SIZE(OtherDerived)
+
+ if ( ( Derived::IsRowMajor && _this.cols() == other.cols()) || // row-major and we change only the number of rows
+ (!Derived::IsRowMajor && _this.rows() == other.rows()) ) // column-major and we change only the number of columns
+ {
+ const Index new_rows = other.rows() - _this.rows();
+ const Index new_cols = other.cols() - _this.cols();
+ _this.derived().m_storage.conservativeResize(other.size(),other.rows(),other.cols());
+ if (new_rows>0)
+ _this.bottomRightCorner(new_rows, other.cols()) = other.bottomRows(new_rows);
+ else if (new_cols>0)
+ _this.bottomRightCorner(other.rows(), new_cols) = other.rightCols(new_cols);
+ }
+ else
+ {
+ // The storage order does not allow us to use reallocation.
+ typename Derived::PlainObject tmp(other);
+ const Index common_rows = (std::min)(tmp.rows(), _this.rows());
+ const Index common_cols = (std::min)(tmp.cols(), _this.cols());
+ tmp.block(0,0,common_rows,common_cols) = _this.block(0,0,common_rows,common_cols);
+ _this.derived().swap(tmp);
+ }
+ }
+};
+
+// Here, the specialization for vectors inherits from the general matrix case
+// to allow calling .conservativeResize(rows,cols) on vectors.
+template <typename Derived, typename OtherDerived>
+struct conservative_resize_like_impl<Derived,OtherDerived,true>
+ : conservative_resize_like_impl<Derived,OtherDerived,false>
+{
+ using conservative_resize_like_impl<Derived,OtherDerived,false>::run;
+
+ typedef typename Derived::Index Index;
+ static void run(DenseBase<Derived>& _this, Index size)
+ {
+ const Index new_rows = Derived::RowsAtCompileTime==1 ? 1 : size;
+ const Index new_cols = Derived::RowsAtCompileTime==1 ? size : 1;
+ _this.derived().m_storage.conservativeResize(size,new_rows,new_cols);
+ }
+
+ static void run(DenseBase<Derived>& _this, const DenseBase<OtherDerived>& other)
+ {
+ if (_this.rows() == other.rows() && _this.cols() == other.cols()) return;
+
+ const Index num_new_elements = other.size() - _this.size();
+
+ const Index new_rows = Derived::RowsAtCompileTime==1 ? 1 : other.rows();
+ const Index new_cols = Derived::RowsAtCompileTime==1 ? other.cols() : 1;
+ _this.derived().m_storage.conservativeResize(other.size(),new_rows,new_cols);
+
+ if (num_new_elements > 0)
+ _this.tail(num_new_elements) = other.tail(num_new_elements);
+ }
+};
+
+template<typename MatrixTypeA, typename MatrixTypeB, bool SwapPointers>
+struct matrix_swap_impl
+{
+ EIGEN_DEVICE_FUNC
+ static inline void run(MatrixTypeA& a, MatrixTypeB& b)
+ {
+ a.base().swap(b);
+ }
+};
+
+template<typename MatrixTypeA, typename MatrixTypeB>
+struct matrix_swap_impl<MatrixTypeA, MatrixTypeB, true>
+{
+ EIGEN_DEVICE_FUNC
+ static inline void run(MatrixTypeA& a, MatrixTypeB& b)
+ {
+ static_cast<typename MatrixTypeA::Base&>(a).m_storage.swap(static_cast<typename MatrixTypeB::Base&>(b).m_storage);
+ }
+};
+
+} // end namespace internal
+
+} // end namespace Eigen
+
+#endif // EIGEN_DENSESTORAGEBASE_H