| // This file is part of Eigen, a lightweight C++ template library | 
 | // for linear algebra. | 
 | // | 
 | // Copyright (C) 2006-2010 Benoit Jacob <jacob.benoit.1@gmail.com> | 
 | // | 
 | // Eigen is free software; you can redistribute it and/or | 
 | // modify it under the terms of the GNU Lesser General Public | 
 | // License as published by the Free Software Foundation; either | 
 | // version 3 of the License, or (at your option) any later version. | 
 | // | 
 | // Alternatively, you can redistribute it and/or | 
 | // modify it under the terms of the GNU General Public License as | 
 | // published by the Free Software Foundation; either version 2 of | 
 | // the License, or (at your option) any later version. | 
 | // | 
 | // Eigen is distributed in the hope that it will be useful, but WITHOUT ANY | 
 | // WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS | 
 | // FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License or the | 
 | // GNU General Public License for more details. | 
 | // | 
 | // You should have received a copy of the GNU Lesser General Public | 
 | // License and a copy of the GNU General Public License along with | 
 | // Eigen. If not, see <http://www.gnu.org/licenses/>. | 
 |  | 
 | #ifndef EIGEN_DENSECOEFFSBASE_H | 
 | #define EIGEN_DENSECOEFFSBASE_H | 
 |  | 
 | template<typename Derived, bool EnableDirectAccessAPI> | 
 | class DenseCoeffsBase : public EigenBase<Derived> | 
 | { | 
 |   public: | 
 |     typedef typename ei_traits<Derived>::StorageKind StorageKind; | 
 |     typedef typename ei_traits<Derived>::Index Index; | 
 |     typedef typename ei_traits<Derived>::Scalar Scalar; | 
 |     typedef typename ei_packet_traits<Scalar>::type PacketScalar; | 
 |     typedef typename ei_meta_if<ei_has_direct_access<Derived>::ret, const Scalar&, const Scalar>::ret CoeffReturnType; | 
 |     typedef typename ei_makeconst<typename ei_packet_traits<Scalar>::type>::type PacketReturnType; | 
 |  | 
 |     typedef EigenBase<Derived> Base; | 
 |     using Base::rows; | 
 |     using Base::cols; | 
 |     using Base::size; | 
 |     using Base::derived; | 
 |  | 
 |     EIGEN_STRONG_INLINE Index rowIndexByOuterInner(Index outer, Index inner) const | 
 |     { | 
 |       return int(Derived::RowsAtCompileTime) == 1 ? 0 | 
 |           : int(Derived::ColsAtCompileTime) == 1 ? inner | 
 |           : int(Derived::Flags)&RowMajorBit ? outer | 
 |           : inner; | 
 |     } | 
 |  | 
 |     EIGEN_STRONG_INLINE Index colIndexByOuterInner(Index outer, Index inner) const | 
 |     { | 
 |       return int(Derived::ColsAtCompileTime) == 1 ? 0 | 
 |           : int(Derived::RowsAtCompileTime) == 1 ? inner | 
 |           : int(Derived::Flags)&RowMajorBit ? inner | 
 |           : outer; | 
 |     } | 
 |  | 
 |     /** Short version: don't use this function, use | 
 |       * \link operator()(Index,Index) const \endlink instead. | 
 |       * | 
 |       * Long version: this function is similar to | 
 |       * \link operator()(Index,Index) const \endlink, but without the assertion. | 
 |       * Use this for limiting the performance cost of debugging code when doing | 
 |       * repeated coefficient access. Only use this when it is guaranteed that the | 
 |       * parameters \a row and \a col are in range. | 
 |       * | 
 |       * If EIGEN_INTERNAL_DEBUGGING is defined, an assertion will be made, making this | 
 |       * function equivalent to \link operator()(Index,Index) const \endlink. | 
 |       * | 
 |       * \sa operator()(Index,Index) const, coeffRef(Index,Index), coeff(Index) const | 
 |       */ | 
 |     EIGEN_STRONG_INLINE CoeffReturnType coeff(Index row, Index col) const | 
 |     { | 
 |       ei_internal_assert(row >= 0 && row < rows() | 
 |                         && col >= 0 && col < cols()); | 
 |       return derived().coeff(row, col); | 
 |     } | 
 |  | 
 |     EIGEN_STRONG_INLINE CoeffReturnType coeffByOuterInner(Index outer, Index inner) const | 
 |     { | 
 |       return coeff(rowIndexByOuterInner(outer, inner), | 
 |                    colIndexByOuterInner(outer, inner)); | 
 |     } | 
 |  | 
 |     /** \returns the coefficient at given the given row and column. | 
 |       * | 
 |       * \sa operator()(Index,Index), operator[](Index) | 
 |       */ | 
 |     EIGEN_STRONG_INLINE CoeffReturnType operator()(Index row, Index col) const | 
 |     { | 
 |       ei_assert(row >= 0 && row < rows() | 
 |           && col >= 0 && col < cols()); | 
 |       return derived().coeff(row, col); | 
 |     } | 
 |  | 
 |     /** Short version: don't use this function, use | 
 |       * \link operator[](Index) const \endlink instead. | 
 |       * | 
 |       * Long version: this function is similar to | 
 |       * \link operator[](Index) const \endlink, but without the assertion. | 
 |       * Use this for limiting the performance cost of debugging code when doing | 
 |       * repeated coefficient access. Only use this when it is guaranteed that the | 
 |       * parameter \a index is in range. | 
 |       * | 
 |       * If EIGEN_INTERNAL_DEBUGGING is defined, an assertion will be made, making this | 
 |       * function equivalent to \link operator[](Index) const \endlink. | 
 |       * | 
 |       * \sa operator[](Index) const, coeffRef(Index), coeff(Index,Index) const | 
 |       */ | 
 |  | 
 |     EIGEN_STRONG_INLINE CoeffReturnType | 
 |     coeff(Index index) const | 
 |     { | 
 |       ei_internal_assert(index >= 0 && index < size()); | 
 |       return derived().coeff(index); | 
 |     } | 
 |  | 
 |  | 
 |     /** \returns the coefficient at given index. | 
 |       * | 
 |       * This method is allowed only for vector expressions, and for matrix expressions having the LinearAccessBit. | 
 |       * | 
 |       * \sa operator[](Index), operator()(Index,Index) const, x() const, y() const, | 
 |       * z() const, w() const | 
 |       */ | 
 |  | 
 |     EIGEN_STRONG_INLINE CoeffReturnType | 
 |     operator[](Index index) const | 
 |     { | 
 |       EIGEN_STATIC_ASSERT(Derived::IsVectorAtCompileTime, | 
 |                           THE_BRACKET_OPERATOR_IS_ONLY_FOR_VECTORS__USE_THE_PARENTHESIS_OPERATOR_INSTEAD) | 
 |       ei_assert(index >= 0 && index < size()); | 
 |       return derived().coeff(index); | 
 |     } | 
 |  | 
 |     /** \returns the coefficient at given index. | 
 |       * | 
 |       * This is synonymous to operator[](Index) const. | 
 |       * | 
 |       * This method is allowed only for vector expressions, and for matrix expressions having the LinearAccessBit. | 
 |       * | 
 |       * \sa operator[](Index), operator()(Index,Index) const, x() const, y() const, | 
 |       * z() const, w() const | 
 |       */ | 
 |  | 
 |     EIGEN_STRONG_INLINE CoeffReturnType | 
 |     operator()(Index index) const | 
 |     { | 
 |       ei_assert(index >= 0 && index < size()); | 
 |       return derived().coeff(index); | 
 |     } | 
 |  | 
 |     /** equivalent to operator[](0).  */ | 
 |  | 
 |     EIGEN_STRONG_INLINE CoeffReturnType | 
 |     x() const { return (*this)[0]; } | 
 |  | 
 |     /** equivalent to operator[](1).  */ | 
 |  | 
 |     EIGEN_STRONG_INLINE CoeffReturnType | 
 |     y() const { return (*this)[1]; } | 
 |  | 
 |     /** equivalent to operator[](2).  */ | 
 |  | 
 |     EIGEN_STRONG_INLINE CoeffReturnType | 
 |     z() const { return (*this)[2]; } | 
 |  | 
 |     /** equivalent to operator[](3).  */ | 
 |  | 
 |     EIGEN_STRONG_INLINE CoeffReturnType | 
 |     w() const { return (*this)[3]; } | 
 |  | 
 |     /** \returns the packet of coefficients starting at the given row and column. It is your responsibility | 
 |       * to ensure that a packet really starts there. This method is only available on expressions having the | 
 |       * PacketAccessBit. | 
 |       * | 
 |       * The \a LoadMode parameter may have the value \a Aligned or \a Unaligned. Its effect is to select | 
 |       * the appropriate vectorization instruction. Aligned access is faster, but is only possible for packets | 
 |       * starting at an address which is a multiple of the packet size. | 
 |       */ | 
 |  | 
 |     template<int LoadMode> | 
 |     EIGEN_STRONG_INLINE PacketReturnType packet(Index row, Index col) const | 
 |     { | 
 |       ei_internal_assert(row >= 0 && row < rows() | 
 |                       && col >= 0 && col < cols()); | 
 |       return derived().template packet<LoadMode>(row,col); | 
 |     } | 
 |  | 
 |  | 
 |     template<int LoadMode> | 
 |     EIGEN_STRONG_INLINE PacketReturnType packetByOuterInner(Index outer, Index inner) const | 
 |     { | 
 |       return packet<LoadMode>(rowIndexByOuterInner(outer, inner), | 
 |                               colIndexByOuterInner(outer, inner)); | 
 |     } | 
 |  | 
 |     /** \returns the packet of coefficients starting at the given index. It is your responsibility | 
 |       * to ensure that a packet really starts there. This method is only available on expressions having the | 
 |       * PacketAccessBit and the LinearAccessBit. | 
 |       * | 
 |       * The \a LoadMode parameter may have the value \a Aligned or \a Unaligned. Its effect is to select | 
 |       * the appropriate vectorization instruction. Aligned access is faster, but is only possible for packets | 
 |       * starting at an address which is a multiple of the packet size. | 
 |       */ | 
 |  | 
 |     template<int LoadMode> | 
 |     EIGEN_STRONG_INLINE PacketReturnType packet(Index index) const | 
 |     { | 
 |       ei_internal_assert(index >= 0 && index < size()); | 
 |       return derived().template packet<LoadMode>(index); | 
 |     } | 
 |  | 
 |   protected: | 
 |     // explanation: DenseBase is doing "using ..." on the methods from DenseCoeffsBase. | 
 |     // But some methods are only available in the EnableDirectAccessAPI case. | 
 |     // So we add dummy methods here with these names, so that "using... " doesn't fail. | 
 |     // It's not private so that the child class DenseBase can access them, and it's not public | 
 |     // either since it's an implementation detail, so has to be protected. | 
 |     void coeffRef(); | 
 |     void coeffRefByOuterInner(); | 
 |     void writePacket(); | 
 |     void writePacketByOuterInner(); | 
 |     void copyCoeff(); | 
 |     void copyCoeffByOuterInner(); | 
 |     void copyPacket(); | 
 |     void copyPacketByOuterInner(); | 
 |     void stride(); | 
 |     void innerStride(); | 
 |     void outerStride(); | 
 |     void rowStride(); | 
 |     void colStride(); | 
 | }; | 
 |  | 
 | template<typename Derived> | 
 | class DenseCoeffsBase<Derived, true> : public DenseCoeffsBase<Derived, false> | 
 | { | 
 |   public: | 
 |  | 
 |     typedef DenseCoeffsBase<Derived, false> Base; | 
 |  | 
 |     typedef typename ei_traits<Derived>::StorageKind StorageKind; | 
 |     typedef typename ei_traits<Derived>::Index Index; | 
 |     typedef typename ei_traits<Derived>::Scalar Scalar; | 
 |     typedef typename ei_packet_traits<Scalar>::type PacketScalar; | 
 |     typedef typename NumTraits<Scalar>::Real RealScalar; | 
 |  | 
 |     using Base::coeff; | 
 |     using Base::rows; | 
 |     using Base::cols; | 
 |     using Base::size; | 
 |     using Base::derived; | 
 |     using Base::rowIndexByOuterInner; | 
 |     using Base::colIndexByOuterInner; | 
 |     using Base::operator[]; | 
 |     using Base::operator(); | 
 |     using Base::x; | 
 |     using Base::y; | 
 |     using Base::z; | 
 |     using Base::w; | 
 |  | 
 |     /** Short version: don't use this function, use | 
 |       * \link operator()(Index,Index) \endlink instead. | 
 |       * | 
 |       * Long version: this function is similar to | 
 |       * \link operator()(Index,Index) \endlink, but without the assertion. | 
 |       * Use this for limiting the performance cost of debugging code when doing | 
 |       * repeated coefficient access. Only use this when it is guaranteed that the | 
 |       * parameters \a row and \a col are in range. | 
 |       * | 
 |       * If EIGEN_INTERNAL_DEBUGGING is defined, an assertion will be made, making this | 
 |       * function equivalent to \link operator()(Index,Index) \endlink. | 
 |       * | 
 |       * \sa operator()(Index,Index), coeff(Index, Index) const, coeffRef(Index) | 
 |       */ | 
 |     EIGEN_STRONG_INLINE Scalar& coeffRef(Index row, Index col) | 
 |     { | 
 |       ei_internal_assert(row >= 0 && row < rows() | 
 |                         && col >= 0 && col < cols()); | 
 |       return derived().coeffRef(row, col); | 
 |     } | 
 |  | 
 |     EIGEN_STRONG_INLINE Scalar& | 
 |     coeffRefByOuterInner(Index outer, Index inner) | 
 |     { | 
 |       return coeffRef(rowIndexByOuterInner(outer, inner), | 
 |                       colIndexByOuterInner(outer, inner)); | 
 |     } | 
 |  | 
 |     /** \returns a reference to the coefficient at given the given row and column. | 
 |       * | 
 |       * \sa operator[](Index) | 
 |       */ | 
 |  | 
 |     EIGEN_STRONG_INLINE Scalar& | 
 |     operator()(Index row, Index col) | 
 |     { | 
 |       ei_assert(row >= 0 && row < rows() | 
 |           && col >= 0 && col < cols()); | 
 |       return derived().coeffRef(row, col); | 
 |     } | 
 |  | 
 |  | 
 |     /** Short version: don't use this function, use | 
 |       * \link operator[](Index) \endlink instead. | 
 |       * | 
 |       * Long version: this function is similar to | 
 |       * \link operator[](Index) \endlink, but without the assertion. | 
 |       * Use this for limiting the performance cost of debugging code when doing | 
 |       * repeated coefficient access. Only use this when it is guaranteed that the | 
 |       * parameters \a row and \a col are in range. | 
 |       * | 
 |       * If EIGEN_INTERNAL_DEBUGGING is defined, an assertion will be made, making this | 
 |       * function equivalent to \link operator[](Index) \endlink. | 
 |       * | 
 |       * \sa operator[](Index), coeff(Index) const, coeffRef(Index,Index) | 
 |       */ | 
 |  | 
 |     EIGEN_STRONG_INLINE Scalar& | 
 |     coeffRef(Index index) | 
 |     { | 
 |       ei_internal_assert(index >= 0 && index < size()); | 
 |       return derived().coeffRef(index); | 
 |     } | 
 |  | 
 |     /** \returns a reference to the coefficient at given index. | 
 |       * | 
 |       * This method is allowed only for vector expressions, and for matrix expressions having the LinearAccessBit. | 
 |       * | 
 |       * \sa operator[](Index) const, operator()(Index,Index), x(), y(), z(), w() | 
 |       */ | 
 |  | 
 |     EIGEN_STRONG_INLINE Scalar& | 
 |     operator[](Index index) | 
 |     { | 
 |       EIGEN_STATIC_ASSERT(Derived::IsVectorAtCompileTime, | 
 |                           THE_BRACKET_OPERATOR_IS_ONLY_FOR_VECTORS__USE_THE_PARENTHESIS_OPERATOR_INSTEAD) | 
 |       ei_assert(index >= 0 && index < size()); | 
 |       return derived().coeffRef(index); | 
 |     } | 
 |  | 
 |     /** \returns a reference to the coefficient at given index. | 
 |       * | 
 |       * This is synonymous to operator[](Index). | 
 |       * | 
 |       * This method is allowed only for vector expressions, and for matrix expressions having the LinearAccessBit. | 
 |       * | 
 |       * \sa operator[](Index) const, operator()(Index,Index), x(), y(), z(), w() | 
 |       */ | 
 |  | 
 |     EIGEN_STRONG_INLINE Scalar& | 
 |     operator()(Index index) | 
 |     { | 
 |       ei_assert(index >= 0 && index < size()); | 
 |       return derived().coeffRef(index); | 
 |     } | 
 |  | 
 |     /** equivalent to operator[](0).  */ | 
 |  | 
 |     EIGEN_STRONG_INLINE Scalar& | 
 |     x() { return (*this)[0]; } | 
 |  | 
 |     /** equivalent to operator[](1).  */ | 
 |  | 
 |     EIGEN_STRONG_INLINE Scalar& | 
 |     y() { return (*this)[1]; } | 
 |  | 
 |     /** equivalent to operator[](2).  */ | 
 |  | 
 |     EIGEN_STRONG_INLINE Scalar& | 
 |     z() { return (*this)[2]; } | 
 |  | 
 |     /** equivalent to operator[](3).  */ | 
 |  | 
 |     EIGEN_STRONG_INLINE Scalar& | 
 |     w() { return (*this)[3]; } | 
 |  | 
 |     /** Stores the given packet of coefficients, at the given row and column of this expression. It is your responsibility | 
 |       * to ensure that a packet really starts there. This method is only available on expressions having the | 
 |       * PacketAccessBit. | 
 |       * | 
 |       * The \a LoadMode parameter may have the value \a Aligned or \a Unaligned. Its effect is to select | 
 |       * the appropriate vectorization instruction. Aligned access is faster, but is only possible for packets | 
 |       * starting at an address which is a multiple of the packet size. | 
 |       */ | 
 |  | 
 |     template<int StoreMode> | 
 |     EIGEN_STRONG_INLINE void writePacket | 
 |     (Index row, Index col, const typename ei_packet_traits<Scalar>::type& x) | 
 |     { | 
 |       ei_internal_assert(row >= 0 && row < rows() | 
 |                         && col >= 0 && col < cols()); | 
 |       derived().template writePacket<StoreMode>(row,col,x); | 
 |     } | 
 |  | 
 |  | 
 |     template<int StoreMode> | 
 |     EIGEN_STRONG_INLINE void writePacketByOuterInner | 
 |     (Index outer, Index inner, const typename ei_packet_traits<Scalar>::type& x) | 
 |     { | 
 |       writePacket<StoreMode>(rowIndexByOuterInner(outer, inner), | 
 |                             colIndexByOuterInner(outer, inner), | 
 |                             x); | 
 |     } | 
 |  | 
 |     /** Stores the given packet of coefficients, at the given index in this expression. It is your responsibility | 
 |       * to ensure that a packet really starts there. This method is only available on expressions having the | 
 |       * PacketAccessBit and the LinearAccessBit. | 
 |       * | 
 |       * The \a LoadMode parameter may have the value \a Aligned or \a Unaligned. Its effect is to select | 
 |       * the appropriate vectorization instruction. Aligned access is faster, but is only possible for packets | 
 |       * starting at an address which is a multiple of the packet size. | 
 |       */ | 
 |  | 
 |     template<int StoreMode> | 
 |     EIGEN_STRONG_INLINE void writePacket | 
 |     (Index index, const typename ei_packet_traits<Scalar>::type& x) | 
 |     { | 
 |       ei_internal_assert(index >= 0 && index < size()); | 
 |       derived().template writePacket<StoreMode>(index,x); | 
 |     } | 
 |  | 
 | #ifndef EIGEN_PARSED_BY_DOXYGEN | 
 |  | 
 |     /** \internal Copies the coefficient at position (row,col) of other into *this. | 
 |       * | 
 |       * This method is overridden in SwapWrapper, allowing swap() assignments to share 99% of their code | 
 |       * with usual assignments. | 
 |       * | 
 |       * Outside of this internal usage, this method has probably no usefulness. It is hidden in the public API dox. | 
 |       */ | 
 |  | 
 |     template<typename OtherDerived> | 
 |     EIGEN_STRONG_INLINE void copyCoeff(Index row, Index col, const DenseBase<OtherDerived>& other) | 
 |     { | 
 |       ei_internal_assert(row >= 0 && row < rows() | 
 |                         && col >= 0 && col < cols()); | 
 |       derived().coeffRef(row, col) = other.derived().coeff(row, col); | 
 |     } | 
 |  | 
 |     /** \internal Copies the coefficient at the given index of other into *this. | 
 |       * | 
 |       * This method is overridden in SwapWrapper, allowing swap() assignments to share 99% of their code | 
 |       * with usual assignments. | 
 |       * | 
 |       * Outside of this internal usage, this method has probably no usefulness. It is hidden in the public API dox. | 
 |       */ | 
 |  | 
 |     template<typename OtherDerived> | 
 |     EIGEN_STRONG_INLINE void copyCoeff(Index index, const DenseBase<OtherDerived>& other) | 
 |     { | 
 |       ei_internal_assert(index >= 0 && index < size()); | 
 |       derived().coeffRef(index) = other.derived().coeff(index); | 
 |     } | 
 |  | 
 |  | 
 |     template<typename OtherDerived> | 
 |     EIGEN_STRONG_INLINE void copyCoeffByOuterInner(Index outer, Index inner, const DenseBase<OtherDerived>& other) | 
 |     { | 
 |       const Index row = rowIndexByOuterInner(outer,inner); | 
 |       const Index col = colIndexByOuterInner(outer,inner); | 
 |       // derived() is important here: copyCoeff() may be reimplemented in Derived! | 
 |       derived().copyCoeff(row, col, other); | 
 |     } | 
 |  | 
 |     /** \internal Copies the packet at position (row,col) of other into *this. | 
 |       * | 
 |       * This method is overridden in SwapWrapper, allowing swap() assignments to share 99% of their code | 
 |       * with usual assignments. | 
 |       * | 
 |       * Outside of this internal usage, this method has probably no usefulness. It is hidden in the public API dox. | 
 |       */ | 
 |  | 
 |     template<typename OtherDerived, int StoreMode, int LoadMode> | 
 |     EIGEN_STRONG_INLINE void copyPacket(Index row, Index col, const DenseBase<OtherDerived>& other) | 
 |     { | 
 |       ei_internal_assert(row >= 0 && row < rows() | 
 |                         && col >= 0 && col < cols()); | 
 |       derived().template writePacket<StoreMode>(row, col, | 
 |         other.derived().template packet<LoadMode>(row, col)); | 
 |     } | 
 |  | 
 |     /** \internal Copies the packet at the given index of other into *this. | 
 |       * | 
 |       * This method is overridden in SwapWrapper, allowing swap() assignments to share 99% of their code | 
 |       * with usual assignments. | 
 |       * | 
 |       * Outside of this internal usage, this method has probably no usefulness. It is hidden in the public API dox. | 
 |       */ | 
 |  | 
 |     template<typename OtherDerived, int StoreMode, int LoadMode> | 
 |     EIGEN_STRONG_INLINE void copyPacket(Index index, const DenseBase<OtherDerived>& other) | 
 |     { | 
 |       ei_internal_assert(index >= 0 && index < size()); | 
 |       derived().template writePacket<StoreMode>(index, | 
 |         other.derived().template packet<LoadMode>(index)); | 
 |     } | 
 |  | 
 |     template<typename OtherDerived, int StoreMode, int LoadMode> | 
 |     EIGEN_STRONG_INLINE void copyPacketByOuterInner(Index outer, Index inner, const DenseBase<OtherDerived>& other) | 
 |     { | 
 |       const Index row = rowIndexByOuterInner(outer,inner); | 
 |       const Index col = colIndexByOuterInner(outer,inner); | 
 |       // derived() is important here: copyCoeff() may be reimplemented in Derived! | 
 |       derived().template copyPacket< OtherDerived, StoreMode, LoadMode>(row, col, other); | 
 |     } | 
 | #endif | 
 |  | 
 |     /** \returns the pointer increment between two consecutive elements within a slice in the inner direction. | 
 |       * | 
 |       * \sa outerStride(), rowStride(), colStride() | 
 |       */ | 
 |     inline Index innerStride() const | 
 |     { | 
 |       return derived().innerStride(); | 
 |     } | 
 |  | 
 |     /** \returns the pointer increment between two consecutive inner slices (for example, between two consecutive columns | 
 |       *          in a column-major matrix). | 
 |       * | 
 |       * \sa innerStride(), rowStride(), colStride() | 
 |       */ | 
 |     inline Index outerStride() const | 
 |     { | 
 |       return derived().outerStride(); | 
 |     } | 
 |  | 
 |     inline Index stride() const | 
 |     { | 
 |       return Derived::IsVectorAtCompileTime ? innerStride() : outerStride(); | 
 |     } | 
 |  | 
 |     /** \returns the pointer increment between two consecutive rows. | 
 |       * | 
 |       * \sa innerStride(), outerStride(), colStride() | 
 |       */ | 
 |     inline Index rowStride() const | 
 |     { | 
 |       return Derived::IsRowMajor ? outerStride() : innerStride(); | 
 |     } | 
 |  | 
 |     /** \returns the pointer increment between two consecutive columns. | 
 |       * | 
 |       * \sa innerStride(), outerStride(), rowStride() | 
 |       */ | 
 |     inline Index colStride() const | 
 |     { | 
 |       return Derived::IsRowMajor ? innerStride() : outerStride(); | 
 |     } | 
 | }; | 
 |  | 
 | template<typename Derived, bool JustReturnZero> | 
 | struct ei_first_aligned_impl | 
 | { | 
 |   inline static typename Derived::Index run(const Derived&) | 
 |   { return 0; } | 
 | }; | 
 |  | 
 | template<typename Derived> | 
 | struct ei_first_aligned_impl<Derived, false> | 
 | { | 
 |   inline static typename Derived::Index run(const Derived& m) | 
 |   { | 
 |     return ei_first_aligned(&m.const_cast_derived().coeffRef(0,0), m.size()); | 
 |   } | 
 | }; | 
 |  | 
 | /** \internal \returns the index of the first element of the array that is well aligned for vectorization. | 
 |   * | 
 |   * There is also the variant ei_first_aligned(const Scalar*, Integer) defined in Memory.h. See it for more | 
 |   * documentation. | 
 |   */ | 
 | template<typename Derived> | 
 | inline static typename Derived::Index ei_first_aligned(const Derived& m) | 
 | { | 
 |   return ei_first_aligned_impl | 
 |           <Derived, (Derived::Flags & AlignedBit) || !(Derived::Flags & DirectAccessBit)> | 
 |           ::run(m); | 
 | } | 
 |  | 
 | template<typename Derived, bool HasDirectAccess = ei_has_direct_access<Derived>::ret> | 
 | struct ei_inner_stride_at_compile_time | 
 | { | 
 |   enum { ret = ei_traits<Derived>::InnerStrideAtCompileTime }; | 
 | }; | 
 |  | 
 | template<typename Derived> | 
 | struct ei_inner_stride_at_compile_time<Derived, false> | 
 | { | 
 |   enum { ret = 0 }; | 
 | }; | 
 |  | 
 | template<typename Derived, bool HasDirectAccess = ei_has_direct_access<Derived>::ret> | 
 | struct ei_outer_stride_at_compile_time | 
 | { | 
 |   enum { ret = ei_traits<Derived>::OuterStrideAtCompileTime }; | 
 | }; | 
 |  | 
 | template<typename Derived> | 
 | struct ei_outer_stride_at_compile_time<Derived, false> | 
 | { | 
 |   enum { ret = 0 }; | 
 | }; | 
 |  | 
 | #endif // EIGEN_DENSECOEFFSBASE_H |