| // This file is part of Eigen, a lightweight C++ template library | 
 | // for linear algebra. | 
 | // | 
 | // Copyright (C) 2008 Gael Guennebaud <gael.guennebaud@inria.fr> | 
 | // Copyright (C) 2006-2010 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_BLOCK_H | 
 | #define EIGEN_BLOCK_H | 
 |  | 
 | // IWYU pragma: private | 
 | #include "./InternalHeaderCheck.h" | 
 |  | 
 | namespace Eigen { | 
 |  | 
 | namespace internal { | 
 | template <typename XprType_, int BlockRows, int BlockCols, bool InnerPanel_> | 
 | struct traits<Block<XprType_, BlockRows, BlockCols, InnerPanel_>> : traits<XprType_> { | 
 |   typedef typename traits<XprType_>::Scalar Scalar; | 
 |   typedef typename traits<XprType_>::StorageKind StorageKind; | 
 |   typedef typename traits<XprType_>::XprKind XprKind; | 
 |   typedef typename ref_selector<XprType_>::type XprTypeNested; | 
 |   typedef std::remove_reference_t<XprTypeNested> XprTypeNested_; | 
 |   enum { | 
 |     MatrixRows = traits<XprType_>::RowsAtCompileTime, | 
 |     MatrixCols = traits<XprType_>::ColsAtCompileTime, | 
 |     RowsAtCompileTime = MatrixRows == 0 ? 0 : BlockRows, | 
 |     ColsAtCompileTime = MatrixCols == 0 ? 0 : BlockCols, | 
 |     MaxRowsAtCompileTime = BlockRows == 0                 ? 0 | 
 |                            : RowsAtCompileTime != Dynamic ? int(RowsAtCompileTime) | 
 |                                                           : int(traits<XprType_>::MaxRowsAtCompileTime), | 
 |     MaxColsAtCompileTime = BlockCols == 0                 ? 0 | 
 |                            : ColsAtCompileTime != Dynamic ? int(ColsAtCompileTime) | 
 |                                                           : int(traits<XprType_>::MaxColsAtCompileTime), | 
 |  | 
 |     XprTypeIsRowMajor = (int(traits<XprType_>::Flags) & RowMajorBit) != 0, | 
 |     IsRowMajor = (MaxRowsAtCompileTime == 1 && MaxColsAtCompileTime != 1)   ? 1 | 
 |                  : (MaxColsAtCompileTime == 1 && MaxRowsAtCompileTime != 1) ? 0 | 
 |                                                                             : XprTypeIsRowMajor, | 
 |     HasSameStorageOrderAsXprType = (IsRowMajor == XprTypeIsRowMajor), | 
 |     InnerSize = IsRowMajor ? int(ColsAtCompileTime) : int(RowsAtCompileTime), | 
 |     InnerStrideAtCompileTime = HasSameStorageOrderAsXprType ? int(inner_stride_at_compile_time<XprType_>::ret) | 
 |                                                             : int(outer_stride_at_compile_time<XprType_>::ret), | 
 |     OuterStrideAtCompileTime = HasSameStorageOrderAsXprType ? int(outer_stride_at_compile_time<XprType_>::ret) | 
 |                                                             : int(inner_stride_at_compile_time<XprType_>::ret), | 
 |  | 
 |     // FIXME, this traits is rather specialized for dense object and it needs to be cleaned further | 
 |     FlagsLvalueBit = is_lvalue<XprType_>::value ? LvalueBit : 0, | 
 |     FlagsRowMajorBit = IsRowMajor ? RowMajorBit : 0, | 
 |     Flags = (traits<XprType_>::Flags & (DirectAccessBit | (InnerPanel_ ? CompressedAccessBit : 0))) | FlagsLvalueBit | | 
 |             FlagsRowMajorBit, | 
 |     // FIXME DirectAccessBit should not be handled by expressions | 
 |     // | 
 |     // Alignment is needed by MapBase's assertions | 
 |     // We can sefely set it to false here. Internal alignment errors will be detected by an eigen_internal_assert in the | 
 |     // respective evaluator | 
 |     Alignment = 0, | 
 |     InnerPanel = InnerPanel_ ? 1 : 0 | 
 |   }; | 
 | }; | 
 |  | 
 | template <typename XprType, int BlockRows = Dynamic, int BlockCols = Dynamic, bool InnerPanel = false, | 
 |           bool HasDirectAccess = internal::has_direct_access<XprType>::ret> | 
 | class BlockImpl_dense; | 
 |  | 
 | }  // end namespace internal | 
 |  | 
 | template <typename XprType, int BlockRows, int BlockCols, bool InnerPanel, typename StorageKind> | 
 | class BlockImpl; | 
 |  | 
 | /** \class Block | 
 |  * \ingroup Core_Module | 
 |  * | 
 |  * \brief Expression of a fixed-size or dynamic-size block | 
 |  * | 
 |  * \tparam XprType the type of the expression in which we are taking a block | 
 |  * \tparam BlockRows the number of rows of the block we are taking at compile time (optional) | 
 |  * \tparam BlockCols the number of columns of the block we are taking at compile time (optional) | 
 |  * \tparam InnerPanel is true, if the block maps to a set of rows of a row major matrix or | 
 |  *         to set of columns of a column major matrix (optional). The parameter allows to determine | 
 |  *         at compile time whether aligned access is possible on the block expression. | 
 |  * | 
 |  * This class represents an expression of either a fixed-size or dynamic-size block. It is the return | 
 |  * type of DenseBase::block(Index,Index,Index,Index) and DenseBase::block<int,int>(Index,Index) and | 
 |  * most of the time this is the only way it is used. | 
 |  * | 
 |  * However, if you want to directly manipulate block expressions, | 
 |  * for instance if you want to write a function returning such an expression, you | 
 |  * will need to use this class. | 
 |  * | 
 |  * Here is an example illustrating the dynamic case: | 
 |  * \include class_Block.cpp | 
 |  * Output: \verbinclude class_Block.out | 
 |  * | 
 |  * \note Even though this expression has dynamic size, in the case where \a XprType | 
 |  * has fixed size, this expression inherits a fixed maximal size which means that evaluating | 
 |  * it does not cause a dynamic memory allocation. | 
 |  * | 
 |  * Here is an example illustrating the fixed-size case: | 
 |  * \include class_FixedBlock.cpp | 
 |  * Output: \verbinclude class_FixedBlock.out | 
 |  * | 
 |  * \sa DenseBase::block(Index,Index,Index,Index), DenseBase::block(Index,Index), class VectorBlock | 
 |  */ | 
 | template <typename XprType, int BlockRows, int BlockCols, bool InnerPanel> | 
 | class Block | 
 |     : public BlockImpl<XprType, BlockRows, BlockCols, InnerPanel, typename internal::traits<XprType>::StorageKind> { | 
 |   typedef BlockImpl<XprType, BlockRows, BlockCols, InnerPanel, typename internal::traits<XprType>::StorageKind> Impl; | 
 |   using BlockHelper = internal::block_xpr_helper<Block>; | 
 |  | 
 |  public: | 
 |   // typedef typename Impl::Base Base; | 
 |   typedef Impl Base; | 
 |   EIGEN_GENERIC_PUBLIC_INTERFACE(Block) | 
 |   EIGEN_INHERIT_ASSIGNMENT_OPERATORS(Block) | 
 |  | 
 |   typedef internal::remove_all_t<XprType> NestedExpression; | 
 |  | 
 |   /** Column or Row constructor | 
 |    */ | 
 |   EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Block(XprType& xpr, Index i) : Impl(xpr, i) { | 
 |     eigen_assert((i >= 0) && (((BlockRows == 1) && (BlockCols == XprType::ColsAtCompileTime) && i < xpr.rows()) || | 
 |                               ((BlockRows == XprType::RowsAtCompileTime) && (BlockCols == 1) && i < xpr.cols()))); | 
 |   } | 
 |  | 
 |   /** Fixed-size constructor | 
 |    */ | 
 |   EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Block(XprType& xpr, Index startRow, Index startCol) | 
 |       : Impl(xpr, startRow, startCol) { | 
 |     EIGEN_STATIC_ASSERT(RowsAtCompileTime != Dynamic && ColsAtCompileTime != Dynamic, | 
 |                         THIS_METHOD_IS_ONLY_FOR_FIXED_SIZE) | 
 |     eigen_assert(startRow >= 0 && BlockRows >= 0 && startRow + BlockRows <= xpr.rows() && startCol >= 0 && | 
 |                  BlockCols >= 0 && startCol + BlockCols <= xpr.cols()); | 
 |   } | 
 |  | 
 |   /** Dynamic-size constructor | 
 |    */ | 
 |   EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Block(XprType& xpr, Index startRow, Index startCol, Index blockRows, | 
 |                                               Index blockCols) | 
 |       : Impl(xpr, startRow, startCol, blockRows, blockCols) { | 
 |     eigen_assert((RowsAtCompileTime == Dynamic || RowsAtCompileTime == blockRows) && | 
 |                  (ColsAtCompileTime == Dynamic || ColsAtCompileTime == blockCols)); | 
 |     eigen_assert(startRow >= 0 && blockRows >= 0 && startRow <= xpr.rows() - blockRows && startCol >= 0 && | 
 |                  blockCols >= 0 && startCol <= xpr.cols() - blockCols); | 
 |   } | 
 |  | 
 |   // convert nested blocks (e.g. Block<Block<MatrixType>>) to a simple block expression (Block<MatrixType>) | 
 |  | 
 |   using ConstUnwindReturnType = Block<const typename BlockHelper::BaseType, BlockRows, BlockCols, InnerPanel>; | 
 |   using UnwindReturnType = Block<typename BlockHelper::BaseType, BlockRows, BlockCols, InnerPanel>; | 
 |  | 
 |   EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE ConstUnwindReturnType unwind() const { | 
 |     return ConstUnwindReturnType(BlockHelper::base(*this), BlockHelper::row(*this, 0), BlockHelper::col(*this, 0), | 
 |                                  this->rows(), this->cols()); | 
 |   } | 
 |  | 
 |   template <typename T = Block, typename EnableIf = std::enable_if_t<!std::is_const<T>::value>> | 
 |   EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE UnwindReturnType unwind() { | 
 |     return UnwindReturnType(BlockHelper::base(*this), BlockHelper::row(*this, 0), BlockHelper::col(*this, 0), | 
 |                             this->rows(), this->cols()); | 
 |   } | 
 | }; | 
 |  | 
 | // The generic default implementation for dense block simply forward to the internal::BlockImpl_dense | 
 | // that must be specialized for direct and non-direct access... | 
 | template <typename XprType, int BlockRows, int BlockCols, bool InnerPanel> | 
 | class BlockImpl<XprType, BlockRows, BlockCols, InnerPanel, Dense> | 
 |     : public internal::BlockImpl_dense<XprType, BlockRows, BlockCols, InnerPanel> { | 
 |   typedef internal::BlockImpl_dense<XprType, BlockRows, BlockCols, InnerPanel> Impl; | 
 |   typedef typename XprType::StorageIndex StorageIndex; | 
 |  | 
 |  public: | 
 |   typedef Impl Base; | 
 |   EIGEN_INHERIT_ASSIGNMENT_OPERATORS(BlockImpl) | 
 |   EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE BlockImpl(XprType& xpr, Index i) : Impl(xpr, i) {} | 
 |   EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE BlockImpl(XprType& xpr, Index startRow, Index startCol) | 
 |       : Impl(xpr, startRow, startCol) {} | 
 |   EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE BlockImpl(XprType& xpr, Index startRow, Index startCol, Index blockRows, | 
 |                                                   Index blockCols) | 
 |       : Impl(xpr, startRow, startCol, blockRows, blockCols) {} | 
 | }; | 
 |  | 
 | namespace internal { | 
 |  | 
 | /** \internal Internal implementation of dense Blocks in the general case. */ | 
 | template <typename XprType, int BlockRows, int BlockCols, bool InnerPanel, bool HasDirectAccess> | 
 | class BlockImpl_dense : public internal::dense_xpr_base<Block<XprType, BlockRows, BlockCols, InnerPanel>>::type { | 
 |   typedef Block<XprType, BlockRows, BlockCols, InnerPanel> BlockType; | 
 |   typedef typename internal::ref_selector<XprType>::non_const_type XprTypeNested; | 
 |  | 
 |  public: | 
 |   typedef typename internal::dense_xpr_base<BlockType>::type Base; | 
 |   EIGEN_DENSE_PUBLIC_INTERFACE(BlockType) | 
 |   EIGEN_INHERIT_ASSIGNMENT_OPERATORS(BlockImpl_dense) | 
 |  | 
 |   // class InnerIterator; // FIXME apparently never used | 
 |  | 
 |   /** Column or Row constructor | 
 |    */ | 
 |   EIGEN_DEVICE_FUNC inline BlockImpl_dense(XprType& xpr, Index i) | 
 |       : m_xpr(xpr), | 
 |         // It is a row if and only if BlockRows==1 and BlockCols==XprType::ColsAtCompileTime, | 
 |         // and it is a column if and only if BlockRows==XprType::RowsAtCompileTime and BlockCols==1, | 
 |         // all other cases are invalid. | 
 |         // The case a 1x1 matrix seems ambiguous, but the result is the same anyway. | 
 |         m_startRow((BlockRows == 1) && (BlockCols == XprType::ColsAtCompileTime) ? i : 0), | 
 |         m_startCol((BlockRows == XprType::RowsAtCompileTime) && (BlockCols == 1) ? i : 0), | 
 |         m_blockRows(BlockRows == 1 ? 1 : xpr.rows()), | 
 |         m_blockCols(BlockCols == 1 ? 1 : xpr.cols()) {} | 
 |  | 
 |   /** Fixed-size constructor | 
 |    */ | 
 |   EIGEN_DEVICE_FUNC inline BlockImpl_dense(XprType& xpr, Index startRow, Index startCol) | 
 |       : m_xpr(xpr), m_startRow(startRow), m_startCol(startCol), m_blockRows(BlockRows), m_blockCols(BlockCols) {} | 
 |  | 
 |   /** Dynamic-size constructor | 
 |    */ | 
 |   EIGEN_DEVICE_FUNC inline BlockImpl_dense(XprType& xpr, Index startRow, Index startCol, Index blockRows, | 
 |                                            Index blockCols) | 
 |       : m_xpr(xpr), m_startRow(startRow), m_startCol(startCol), m_blockRows(blockRows), m_blockCols(blockCols) {} | 
 |  | 
 |   EIGEN_DEVICE_FUNC inline Index rows() const { return m_blockRows.value(); } | 
 |   EIGEN_DEVICE_FUNC inline Index cols() const { return m_blockCols.value(); } | 
 |  | 
 |   EIGEN_DEVICE_FUNC inline Scalar& coeffRef(Index rowId, Index colId) { | 
 |     EIGEN_STATIC_ASSERT_LVALUE(XprType) | 
 |     return m_xpr.coeffRef(rowId + m_startRow.value(), colId + m_startCol.value()); | 
 |   } | 
 |  | 
 |   EIGEN_DEVICE_FUNC inline const Scalar& coeffRef(Index rowId, Index colId) const { | 
 |     return m_xpr.derived().coeffRef(rowId + m_startRow.value(), colId + m_startCol.value()); | 
 |   } | 
 |  | 
 |   EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const CoeffReturnType coeff(Index rowId, Index colId) const { | 
 |     return m_xpr.coeff(rowId + m_startRow.value(), colId + m_startCol.value()); | 
 |   } | 
 |  | 
 |   EIGEN_DEVICE_FUNC inline Scalar& coeffRef(Index index) { | 
 |     EIGEN_STATIC_ASSERT_LVALUE(XprType) | 
 |     return m_xpr.coeffRef(m_startRow.value() + (RowsAtCompileTime == 1 ? 0 : index), | 
 |                           m_startCol.value() + (RowsAtCompileTime == 1 ? index : 0)); | 
 |   } | 
 |  | 
 |   EIGEN_DEVICE_FUNC inline const Scalar& coeffRef(Index index) const { | 
 |     return m_xpr.coeffRef(m_startRow.value() + (RowsAtCompileTime == 1 ? 0 : index), | 
 |                           m_startCol.value() + (RowsAtCompileTime == 1 ? index : 0)); | 
 |   } | 
 |  | 
 |   EIGEN_DEVICE_FUNC inline const CoeffReturnType coeff(Index index) const { | 
 |     return m_xpr.coeff(m_startRow.value() + (RowsAtCompileTime == 1 ? 0 : index), | 
 |                        m_startCol.value() + (RowsAtCompileTime == 1 ? index : 0)); | 
 |   } | 
 |  | 
 |   template <int LoadMode> | 
 |   EIGEN_DEVICE_FUNC inline PacketScalar packet(Index rowId, Index colId) const { | 
 |     return m_xpr.template packet<Unaligned>(rowId + m_startRow.value(), colId + m_startCol.value()); | 
 |   } | 
 |  | 
 |   template <int LoadMode> | 
 |   EIGEN_DEVICE_FUNC inline void writePacket(Index rowId, Index colId, const PacketScalar& val) { | 
 |     m_xpr.template writePacket<Unaligned>(rowId + m_startRow.value(), colId + m_startCol.value(), val); | 
 |   } | 
 |  | 
 |   template <int LoadMode> | 
 |   EIGEN_DEVICE_FUNC inline PacketScalar packet(Index index) const { | 
 |     return m_xpr.template packet<Unaligned>(m_startRow.value() + (RowsAtCompileTime == 1 ? 0 : index), | 
 |                                             m_startCol.value() + (RowsAtCompileTime == 1 ? index : 0)); | 
 |   } | 
 |  | 
 |   template <int LoadMode> | 
 |   EIGEN_DEVICE_FUNC inline void writePacket(Index index, const PacketScalar& val) { | 
 |     m_xpr.template writePacket<Unaligned>(m_startRow.value() + (RowsAtCompileTime == 1 ? 0 : index), | 
 |                                           m_startCol.value() + (RowsAtCompileTime == 1 ? index : 0), val); | 
 |   } | 
 |  | 
 | #ifdef EIGEN_PARSED_BY_DOXYGEN | 
 |   /** \sa MapBase::data() */ | 
 |   EIGEN_DEVICE_FUNC inline const Scalar* data() const; | 
 |   EIGEN_DEVICE_FUNC inline Index innerStride() const; | 
 |   EIGEN_DEVICE_FUNC inline Index outerStride() const; | 
 | #endif | 
 |  | 
 |   EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const internal::remove_all_t<XprTypeNested>& nestedExpression() const { | 
 |     return m_xpr; | 
 |   } | 
 |  | 
 |   EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE XprType& nestedExpression() { return m_xpr; } | 
 |  | 
 |   EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE EIGEN_CONSTEXPR StorageIndex startRow() const EIGEN_NOEXCEPT { | 
 |     return m_startRow.value(); | 
 |   } | 
 |  | 
 |   EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE EIGEN_CONSTEXPR StorageIndex startCol() const EIGEN_NOEXCEPT { | 
 |     return m_startCol.value(); | 
 |   } | 
 |  | 
 |  protected: | 
 |   XprTypeNested m_xpr; | 
 |   const internal::variable_if_dynamic<StorageIndex, (XprType::RowsAtCompileTime == 1 && BlockRows == 1) ? 0 : Dynamic> | 
 |       m_startRow; | 
 |   const internal::variable_if_dynamic<StorageIndex, (XprType::ColsAtCompileTime == 1 && BlockCols == 1) ? 0 : Dynamic> | 
 |       m_startCol; | 
 |   const internal::variable_if_dynamic<StorageIndex, RowsAtCompileTime> m_blockRows; | 
 |   const internal::variable_if_dynamic<StorageIndex, ColsAtCompileTime> m_blockCols; | 
 | }; | 
 |  | 
 | /** \internal Internal implementation of dense Blocks in the direct access case.*/ | 
 | template <typename XprType, int BlockRows, int BlockCols, bool InnerPanel> | 
 | class BlockImpl_dense<XprType, BlockRows, BlockCols, InnerPanel, true> | 
 |     : public MapBase<Block<XprType, BlockRows, BlockCols, InnerPanel>> { | 
 |   typedef Block<XprType, BlockRows, BlockCols, InnerPanel> BlockType; | 
 |   typedef typename internal::ref_selector<XprType>::non_const_type XprTypeNested; | 
 |   enum { XprTypeIsRowMajor = (int(traits<XprType>::Flags) & RowMajorBit) != 0 }; | 
 |  | 
 |   /** \internal Returns base+offset (unless base is null, in which case returns null). | 
 |    * Adding an offset to nullptr is undefined behavior, so we must avoid it. | 
 |    */ | 
 |   template <typename Scalar> | 
 |   EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR EIGEN_ALWAYS_INLINE static Scalar* add_to_nullable_pointer(Scalar* base, | 
 |                                                                                                Index offset) { | 
 |     return base != nullptr ? base + offset : nullptr; | 
 |   } | 
 |  | 
 |  public: | 
 |   typedef MapBase<BlockType> Base; | 
 |   EIGEN_DENSE_PUBLIC_INTERFACE(BlockType) | 
 |   EIGEN_INHERIT_ASSIGNMENT_OPERATORS(BlockImpl_dense) | 
 |  | 
 |   /** Column or Row constructor | 
 |    */ | 
 |   EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE BlockImpl_dense(XprType& xpr, Index i) | 
 |       : Base((BlockRows == 0 || BlockCols == 0) | 
 |                  ? nullptr | 
 |                  : add_to_nullable_pointer( | 
 |                        xpr.data(), | 
 |                        i * (((BlockRows == 1) && (BlockCols == XprType::ColsAtCompileTime) && (!XprTypeIsRowMajor)) || | 
 |                                     ((BlockRows == XprType::RowsAtCompileTime) && (BlockCols == 1) && | 
 |                                      (XprTypeIsRowMajor)) | 
 |                                 ? xpr.innerStride() | 
 |                                 : xpr.outerStride())), | 
 |              BlockRows == 1 ? 1 : xpr.rows(), BlockCols == 1 ? 1 : xpr.cols()), | 
 |         m_xpr(xpr), | 
 |         m_startRow((BlockRows == 1) && (BlockCols == XprType::ColsAtCompileTime) ? i : 0), | 
 |         m_startCol((BlockRows == XprType::RowsAtCompileTime) && (BlockCols == 1) ? i : 0) { | 
 |     init(); | 
 |   } | 
 |  | 
 |   /** Fixed-size constructor | 
 |    */ | 
 |   EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE BlockImpl_dense(XprType& xpr, Index startRow, Index startCol) | 
 |       : Base((BlockRows == 0 || BlockCols == 0) | 
 |                  ? nullptr | 
 |                  : add_to_nullable_pointer(xpr.data(), | 
 |                                            xpr.innerStride() * (XprTypeIsRowMajor ? startCol : startRow) + | 
 |                                                xpr.outerStride() * (XprTypeIsRowMajor ? startRow : startCol))), | 
 |         m_xpr(xpr), | 
 |         m_startRow(startRow), | 
 |         m_startCol(startCol) { | 
 |     init(); | 
 |   } | 
 |  | 
 |   /** Dynamic-size constructor | 
 |    */ | 
 |   EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE BlockImpl_dense(XprType& xpr, Index startRow, Index startCol, Index blockRows, | 
 |                                                         Index blockCols) | 
 |       : Base((blockRows == 0 || blockCols == 0) | 
 |                  ? nullptr | 
 |                  : add_to_nullable_pointer(xpr.data(), | 
 |                                            xpr.innerStride() * (XprTypeIsRowMajor ? startCol : startRow) + | 
 |                                                xpr.outerStride() * (XprTypeIsRowMajor ? startRow : startCol)), | 
 |              blockRows, blockCols), | 
 |         m_xpr(xpr), | 
 |         m_startRow(startRow), | 
 |         m_startCol(startCol) { | 
 |     init(); | 
 |   } | 
 |  | 
 |   EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const internal::remove_all_t<XprTypeNested>& nestedExpression() const | 
 |       EIGEN_NOEXCEPT { | 
 |     return m_xpr; | 
 |   } | 
 |  | 
 |   EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE XprType& nestedExpression() { return m_xpr; } | 
 |  | 
 |   /** \sa MapBase::innerStride() */ | 
 |   EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE EIGEN_CONSTEXPR Index innerStride() const EIGEN_NOEXCEPT { | 
 |     return internal::traits<BlockType>::HasSameStorageOrderAsXprType ? m_xpr.innerStride() : m_xpr.outerStride(); | 
 |   } | 
 |  | 
 |   /** \sa MapBase::outerStride() */ | 
 |   EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE EIGEN_CONSTEXPR Index outerStride() const EIGEN_NOEXCEPT { | 
 |     return internal::traits<BlockType>::HasSameStorageOrderAsXprType ? m_xpr.outerStride() : m_xpr.innerStride(); | 
 |   } | 
 |  | 
 |   EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE EIGEN_CONSTEXPR StorageIndex startRow() const EIGEN_NOEXCEPT { | 
 |     return m_startRow.value(); | 
 |   } | 
 |  | 
 |   EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE EIGEN_CONSTEXPR StorageIndex startCol() const EIGEN_NOEXCEPT { | 
 |     return m_startCol.value(); | 
 |   } | 
 |  | 
 | #ifndef __SUNPRO_CC | 
 |   // FIXME sunstudio is not friendly with the above friend... | 
 |   // META-FIXME there is no 'friend' keyword around here. Is this obsolete? | 
 |  protected: | 
 | #endif | 
 |  | 
 | #ifndef EIGEN_PARSED_BY_DOXYGEN | 
 |   /** \internal used by allowAligned() */ | 
 |   EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE BlockImpl_dense(XprType& xpr, const Scalar* data, Index blockRows, | 
 |                                                         Index blockCols) | 
 |       : Base(data, blockRows, blockCols), m_xpr(xpr) { | 
 |     init(); | 
 |   } | 
 | #endif | 
 |  | 
 |  protected: | 
 |   EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE void init() { | 
 |     m_outerStride = | 
 |         internal::traits<BlockType>::HasSameStorageOrderAsXprType ? m_xpr.outerStride() : m_xpr.innerStride(); | 
 |   } | 
 |  | 
 |   XprTypeNested m_xpr; | 
 |   const internal::variable_if_dynamic<StorageIndex, (XprType::RowsAtCompileTime == 1 && BlockRows == 1) ? 0 : Dynamic> | 
 |       m_startRow; | 
 |   const internal::variable_if_dynamic<StorageIndex, (XprType::ColsAtCompileTime == 1 && BlockCols == 1) ? 0 : Dynamic> | 
 |       m_startCol; | 
 |   Index m_outerStride; | 
 | }; | 
 |  | 
 | }  // end namespace internal | 
 |  | 
 | }  // end namespace Eigen | 
 |  | 
 | #endif  // EIGEN_BLOCK_H |