| // This file is part of Eigen, a lightweight C++ template library | 
 | // for linear algebra. | 
 | // | 
 | // Copyright (C) 2007-2010 Benoit Jacob <jacob.benoit.1@gmail.com> | 
 | // Copyright (C) 2008-2010 Gael Guennebaud <g.gael@free.fr> | 
 | // | 
 | // 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_DENSEBASE_H | 
 | #define EIGEN_DENSEBASE_H | 
 |  | 
 | /** \class DenseBase | 
 |   * | 
 |   * \brief Base class for all dense matrices, vectors, and arrays | 
 |   * | 
 |   * This class is the base that is inherited by all dense objects (matrix, vector, arrays, | 
 |   * and related expression types). The common Eigen API for dense objects is contained in this class. | 
 |   * | 
 |   * \param Derived is the derived type, e.g., a matrix type or an expression. | 
 |   */ | 
 | template<typename Derived> class DenseBase | 
 | #ifndef EIGEN_PARSED_BY_DOXYGEN | 
 |   : public ei_special_scalar_op_base<Derived,typename ei_traits<Derived>::Scalar, | 
 |                                      typename NumTraits<typename ei_traits<Derived>::Scalar>::Real> | 
 | #else | 
 |   : public DenseCoeffsBase<Derived> | 
 | #endif // not EIGEN_PARSED_BY_DOXYGEN | 
 | { | 
 |   public: | 
 | #ifndef EIGEN_PARSED_BY_DOXYGEN | 
 |     using ei_special_scalar_op_base<Derived,typename ei_traits<Derived>::Scalar, | 
 |                 typename NumTraits<typename ei_traits<Derived>::Scalar>::Real>::operator*; | 
 |  | 
 |     class InnerIterator; | 
 |  | 
 |     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; | 
 |  | 
 |     typedef DenseCoeffsBase<Derived> Base; | 
 |     using Base::derived; | 
 |     using Base::const_cast_derived; | 
 |     using Base::rows; | 
 |     using Base::cols; | 
 |     using Base::size; | 
 |     using Base::rowIndexByOuterInner; | 
 |     using Base::colIndexByOuterInner; | 
 |     using Base::coeff; | 
 |     using Base::coeffByOuterInner; | 
 |     using Base::packet; | 
 |     using Base::packetByOuterInner; | 
 |     using Base::writePacket; | 
 |     using Base::writePacketByOuterInner; | 
 |     using Base::coeffRef; | 
 |     using Base::coeffRefByOuterInner; | 
 |     using Base::copyCoeff; | 
 |     using Base::copyCoeffByOuterInner; | 
 |     using Base::copyPacket; | 
 |     using Base::copyPacketByOuterInner; | 
 |     using Base::operator(); | 
 |     using Base::operator[]; | 
 |     using Base::x; | 
 |     using Base::y; | 
 |     using Base::z; | 
 |     using Base::w; | 
 |     using Base::stride; | 
 |     using Base::innerStride; | 
 |     using Base::outerStride; | 
 |     using Base::rowStride; | 
 |     using Base::colStride; | 
 |     using typename Base::CoeffReturnType; | 
 |  | 
 | #endif // not EIGEN_PARSED_BY_DOXYGEN | 
 |  | 
 |     enum { | 
 |  | 
 |       RowsAtCompileTime = ei_traits<Derived>::RowsAtCompileTime, | 
 |         /**< The number of rows at compile-time. This is just a copy of the value provided | 
 |           * by the \a Derived type. If a value is not known at compile-time, | 
 |           * it is set to the \a Dynamic constant. | 
 |           * \sa MatrixBase::rows(), MatrixBase::cols(), ColsAtCompileTime, SizeAtCompileTime */ | 
 |  | 
 |       ColsAtCompileTime = ei_traits<Derived>::ColsAtCompileTime, | 
 |         /**< The number of columns at compile-time. This is just a copy of the value provided | 
 |           * by the \a Derived type. If a value is not known at compile-time, | 
 |           * it is set to the \a Dynamic constant. | 
 |           * \sa MatrixBase::rows(), MatrixBase::cols(), RowsAtCompileTime, SizeAtCompileTime */ | 
 |  | 
 |  | 
 |       SizeAtCompileTime = (ei_size_at_compile_time<ei_traits<Derived>::RowsAtCompileTime, | 
 |                                                    ei_traits<Derived>::ColsAtCompileTime>::ret), | 
 |         /**< This is equal to the number of coefficients, i.e. the number of | 
 |           * rows times the number of columns, or to \a Dynamic if this is not | 
 |           * known at compile-time. \sa RowsAtCompileTime, ColsAtCompileTime */ | 
 |  | 
 |       MaxRowsAtCompileTime = ei_traits<Derived>::MaxRowsAtCompileTime, | 
 |         /**< This value is equal to the maximum possible number of rows that this expression | 
 |           * might have. If this expression might have an arbitrarily high number of rows, | 
 |           * this value is set to \a Dynamic. | 
 |           * | 
 |           * This value is useful to know when evaluating an expression, in order to determine | 
 |           * whether it is possible to avoid doing a dynamic memory allocation. | 
 |           * | 
 |           * \sa RowsAtCompileTime, MaxColsAtCompileTime, MaxSizeAtCompileTime | 
 |           */ | 
 |  | 
 |       MaxColsAtCompileTime = ei_traits<Derived>::MaxColsAtCompileTime, | 
 |         /**< This value is equal to the maximum possible number of columns that this expression | 
 |           * might have. If this expression might have an arbitrarily high number of columns, | 
 |           * this value is set to \a Dynamic. | 
 |           * | 
 |           * This value is useful to know when evaluating an expression, in order to determine | 
 |           * whether it is possible to avoid doing a dynamic memory allocation. | 
 |           * | 
 |           * \sa ColsAtCompileTime, MaxRowsAtCompileTime, MaxSizeAtCompileTime | 
 |           */ | 
 |  | 
 |       MaxSizeAtCompileTime = (ei_size_at_compile_time<ei_traits<Derived>::MaxRowsAtCompileTime, | 
 |                                                       ei_traits<Derived>::MaxColsAtCompileTime>::ret), | 
 |         /**< This value is equal to the maximum possible number of coefficients that this expression | 
 |           * might have. If this expression might have an arbitrarily high number of coefficients, | 
 |           * this value is set to \a Dynamic. | 
 |           * | 
 |           * This value is useful to know when evaluating an expression, in order to determine | 
 |           * whether it is possible to avoid doing a dynamic memory allocation. | 
 |           * | 
 |           * \sa SizeAtCompileTime, MaxRowsAtCompileTime, MaxColsAtCompileTime | 
 |           */ | 
 |  | 
 |       IsVectorAtCompileTime = ei_traits<Derived>::MaxRowsAtCompileTime == 1 | 
 |                            || ei_traits<Derived>::MaxColsAtCompileTime == 1, | 
 |         /**< This is set to true if either the number of rows or the number of | 
 |           * columns is known at compile-time to be equal to 1. Indeed, in that case, | 
 |           * we are dealing with a column-vector (if there is only one column) or with | 
 |           * a row-vector (if there is only one row). */ | 
 |  | 
 |       Flags = ei_traits<Derived>::Flags, | 
 |         /**< This stores expression \ref flags flags which may or may not be inherited by new expressions | 
 |           * constructed from this one. See the \ref flags "list of flags". | 
 |           */ | 
 |  | 
 |       IsRowMajor = int(Flags) & RowMajorBit, /**< True if this expression has row-major storage order. */ | 
 |  | 
 |       InnerSizeAtCompileTime = int(IsVectorAtCompileTime) ? SizeAtCompileTime | 
 |                              : int(IsRowMajor) ? ColsAtCompileTime : RowsAtCompileTime, | 
 |  | 
 |       CoeffReadCost = ei_traits<Derived>::CoeffReadCost, | 
 |         /**< This is a rough measure of how expensive it is to read one coefficient from | 
 |           * this expression. | 
 |           */ | 
 |  | 
 |       InnerStrideAtCompileTime = ei_inner_stride_at_compile_time<Derived>::ret, | 
 |       OuterStrideAtCompileTime = ei_outer_stride_at_compile_time<Derived>::ret | 
 |     }; | 
 |  | 
 |     /** \returns the number of nonzero coefficients which is in practice the number | 
 |       * of stored coefficients. */ | 
 |     inline Index nonZeros() const { return size(); } | 
 |     /** \returns true if either the number of rows or the number of columns is equal to 1. | 
 |       * In other words, this function returns | 
 |       * \code rows()==1 || cols()==1 \endcode | 
 |       * \sa rows(), cols(), IsVectorAtCompileTime. */ | 
 |  | 
 |     /** \returns the outer size. | 
 |       * | 
 |       * \note For a vector, this returns just 1. For a matrix (non-vector), this is the major dimension | 
 |       * with respect to the storage order, i.e., the number of columns for a column-major matrix, | 
 |       * and the number of rows for a row-major matrix. */ | 
 |     Index outerSize() const | 
 |     { | 
 |       return IsVectorAtCompileTime ? 1 | 
 |            : int(IsRowMajor) ? this->rows() : this->cols(); | 
 |     } | 
 |  | 
 |     /** \returns the inner size. | 
 |       * | 
 |       * \note For a vector, this is just the size. For a matrix (non-vector), this is the minor dimension | 
 |       * with respect to the storage order, i.e., the number of rows for a column-major matrix, | 
 |       * and the number of columns for a row-major matrix. */ | 
 |     Index innerSize() const | 
 |     { | 
 |       return IsVectorAtCompileTime ? this->size() | 
 |            : int(IsRowMajor) ? this->cols() : this->rows(); | 
 |     } | 
 |  | 
 |     /** Only plain matrices/arrays, not expressions, may be resized; therefore the only useful resize methods are | 
 |       * Matrix::resize() and Array::resize(). The present method only asserts that the new size equals the old size, and does | 
 |       * nothing else. | 
 |       */ | 
 |     void resize(Index size) | 
 |     { | 
 |       EIGEN_ONLY_USED_FOR_DEBUG(size); | 
 |       ei_assert(size == this->size() | 
 |                 && "DenseBase::resize() does not actually allow to resize."); | 
 |     } | 
 |     /** Only plain matrices/arrays, not expressions, may be resized; therefore the only useful resize methods are | 
 |       * Matrix::resize() and Array::resize(). The present method only asserts that the new size equals the old size, and does | 
 |       * nothing else. | 
 |       */ | 
 |     void resize(Index rows, Index cols) | 
 |     { | 
 |       EIGEN_ONLY_USED_FOR_DEBUG(rows); | 
 |       EIGEN_ONLY_USED_FOR_DEBUG(cols); | 
 |       ei_assert(rows == this->rows() && cols == this->cols() | 
 |                 && "DenseBase::resize() does not actually allow to resize."); | 
 |     } | 
 |  | 
 | #ifndef EIGEN_PARSED_BY_DOXYGEN | 
 |  | 
 |     /** \internal Represents a matrix with all coefficients equal to one another*/ | 
 |     typedef CwiseNullaryOp<ei_scalar_constant_op<Scalar>,Derived> ConstantReturnType; | 
 |     /** \internal Represents a vector with linearly spaced coefficients that allows sequential access only. */ | 
 |     typedef CwiseNullaryOp<ei_linspaced_op<Scalar,false>,Derived> SequentialLinSpacedReturnType; | 
 |     /** \internal Represents a vector with linearly spaced coefficients that allows random access. */ | 
 |     typedef CwiseNullaryOp<ei_linspaced_op<Scalar,true>,Derived> RandomAccessLinSpacedReturnType; | 
 |     /** \internal the return type of MatrixBase::eigenvalues() */ | 
 |     typedef Matrix<typename NumTraits<typename ei_traits<Derived>::Scalar>::Real, ei_traits<Derived>::ColsAtCompileTime, 1> EigenvaluesReturnType; | 
 |     /** \internal expression type of a column */ | 
 |     typedef Block<Derived, ei_traits<Derived>::RowsAtCompileTime, 1> ColXpr; | 
 |     /** \internal expression type of a row */ | 
 |     typedef Block<Derived, 1, ei_traits<Derived>::ColsAtCompileTime> RowXpr; | 
 |     /** \internal expression type of a block of whole columns */ | 
 |     typedef Block<Derived, ei_traits<Derived>::RowsAtCompileTime, Dynamic> ColsBlockXpr; | 
 |     /** \internal expression type of a block of whole rows */ | 
 |     typedef Block<Derived, Dynamic, ei_traits<Derived>::ColsAtCompileTime> RowsBlockXpr; | 
 |     /** \internal expression type of a block of whole columns */ | 
 |     template<int N> struct NColsBlockXpr { typedef Block<Derived, ei_traits<Derived>::RowsAtCompileTime, N> Type; }; | 
 |     /** \internal expression type of a block of whole rows */ | 
 |     template<int N> struct NRowsBlockXpr { typedef Block<Derived, N, ei_traits<Derived>::ColsAtCompileTime> Type; }; | 
 |  | 
 |  | 
 | #endif // not EIGEN_PARSED_BY_DOXYGEN | 
 |  | 
 |     /** Copies \a other into *this. \returns a reference to *this. */ | 
 |     template<typename OtherDerived> | 
 |     Derived& operator=(const DenseBase<OtherDerived>& other); | 
 |  | 
 |     /** Special case of the template operator=, in order to prevent the compiler | 
 |       * from generating a default operator= (issue hit with g++ 4.1) | 
 |       */ | 
 |     Derived& operator=(const DenseBase& other); | 
 |  | 
 |     template<typename OtherDerived> | 
 |     Derived& operator=(const EigenBase<OtherDerived> &other); | 
 |  | 
 |     template<typename OtherDerived> | 
 |     Derived& operator+=(const EigenBase<OtherDerived> &other); | 
 |  | 
 |     template<typename OtherDerived> | 
 |     Derived& operator-=(const EigenBase<OtherDerived> &other); | 
 |  | 
 |     template<typename OtherDerived> | 
 |     Derived& operator=(const ReturnByValue<OtherDerived>& func); | 
 |  | 
 | #ifndef EIGEN_PARSED_BY_DOXYGEN | 
 |     /** Copies \a other into *this without evaluating other. \returns a reference to *this. */ | 
 |     template<typename OtherDerived> | 
 |     Derived& lazyAssign(const DenseBase<OtherDerived>& other); | 
 | #endif // not EIGEN_PARSED_BY_DOXYGEN | 
 |  | 
 |     CommaInitializer<Derived> operator<< (const Scalar& s); | 
 |  | 
 |     template<unsigned int Added,unsigned int Removed> | 
 |     const Flagged<Derived, Added, Removed> flagged() const; | 
 |  | 
 |     template<typename OtherDerived> | 
 |     CommaInitializer<Derived> operator<< (const DenseBase<OtherDerived>& other); | 
 |  | 
 |     Eigen::Transpose<Derived> transpose(); | 
 |     const Eigen::Transpose<Derived> transpose() const; | 
 |     void transposeInPlace(); | 
 | #ifndef EIGEN_NO_DEBUG | 
 |   protected: | 
 |     template<typename OtherDerived> | 
 |     void checkTransposeAliasing(const OtherDerived& other) const; | 
 |   public: | 
 | #endif | 
 |  | 
 |     RowXpr row(Index i); | 
 |     const RowXpr row(Index i) const; | 
 |  | 
 |     ColXpr col(Index i); | 
 |     const ColXpr col(Index i) const; | 
 |  | 
 |     Block<Derived> block(Index startRow, Index startCol, Index blockRows, Index blockCols); | 
 |     const Block<Derived> block(Index startRow, Index startCol, Index blockRows, Index blockCols) const; | 
 |  | 
 |     VectorBlock<Derived> segment(Index start, Index size); | 
 |     const VectorBlock<Derived> segment(Index start, Index size) const; | 
 |  | 
 |     VectorBlock<Derived> head(Index size); | 
 |     const VectorBlock<Derived> head(Index size) const; | 
 |  | 
 |     VectorBlock<Derived> tail(Index size); | 
 |     const VectorBlock<Derived> tail(Index size) const; | 
 |  | 
 |     Block<Derived>       topLeftCorner(Index cRows, Index cCols); | 
 |     const Block<Derived> topLeftCorner(Index cRows, Index cCols) const; | 
 |     Block<Derived>       topRightCorner(Index cRows, Index cCols); | 
 |     const Block<Derived> topRightCorner(Index cRows, Index cCols) const; | 
 |     Block<Derived>       bottomLeftCorner(Index cRows, Index cCols); | 
 |     const Block<Derived> bottomLeftCorner(Index cRows, Index cCols) const; | 
 |     Block<Derived>       bottomRightCorner(Index cRows, Index cCols); | 
 |     const Block<Derived> bottomRightCorner(Index cRows, Index cCols) const; | 
 |  | 
 |     RowsBlockXpr       topRows(Index n); | 
 |     const RowsBlockXpr topRows(Index n) const; | 
 |     RowsBlockXpr       bottomRows(Index n); | 
 |     const RowsBlockXpr bottomRows(Index n) const; | 
 |     ColsBlockXpr       leftCols(Index n); | 
 |     const ColsBlockXpr leftCols(Index n) const; | 
 |     ColsBlockXpr       rightCols(Index n); | 
 |     const ColsBlockXpr rightCols(Index n) const; | 
 |  | 
 |     template<int CRows, int CCols> Block<Derived, CRows, CCols>       topLeftCorner(); | 
 |     template<int CRows, int CCols> const Block<Derived, CRows, CCols> topLeftCorner() const; | 
 |     template<int CRows, int CCols> Block<Derived, CRows, CCols>       topRightCorner(); | 
 |     template<int CRows, int CCols> const Block<Derived, CRows, CCols> topRightCorner() const; | 
 |     template<int CRows, int CCols> Block<Derived, CRows, CCols>       bottomLeftCorner(); | 
 |     template<int CRows, int CCols> const Block<Derived, CRows, CCols> bottomLeftCorner() const; | 
 |     template<int CRows, int CCols> Block<Derived, CRows, CCols>       bottomRightCorner(); | 
 |     template<int CRows, int CCols> const Block<Derived, CRows, CCols> bottomRightCorner() const; | 
 |  | 
 |     template<int NRows> typename NRowsBlockXpr<NRows>::Type       topRows(); | 
 |     template<int NRows> const typename NRowsBlockXpr<NRows>::Type topRows() const; | 
 |     template<int NRows> typename NRowsBlockXpr<NRows>::Type       bottomRows(); | 
 |     template<int NRows> const typename NRowsBlockXpr<NRows>::Type bottomRows() const; | 
 |     template<int NCols> typename NColsBlockXpr<NCols>::Type       leftCols(); | 
 |     template<int NCols> const typename NColsBlockXpr<NCols>::Type leftCols() const; | 
 |     template<int NCols> typename NColsBlockXpr<NCols>::Type       rightCols(); | 
 |     template<int NCols> const typename NColsBlockXpr<NCols>::Type rightCols() const; | 
 |  | 
 |     template<int BlockRows, int BlockCols> | 
 |     Block<Derived, BlockRows, BlockCols> block(Index startRow, Index startCol); | 
 |     template<int BlockRows, int BlockCols> | 
 |     const Block<Derived, BlockRows, BlockCols> block(Index startRow, Index startCol) const; | 
 |  | 
 |     template<int Size> VectorBlock<Derived,Size> head(void); | 
 |     template<int Size> const VectorBlock<Derived,Size> head() const; | 
 |  | 
 |     template<int Size> VectorBlock<Derived,Size> tail(); | 
 |     template<int Size> const VectorBlock<Derived,Size> tail() const; | 
 |  | 
 |     template<int Size> VectorBlock<Derived,Size> segment(Index start); | 
 |     template<int Size> const VectorBlock<Derived,Size> segment(Index start) const; | 
 |  | 
 |     Diagonal<Derived,0> diagonal(); | 
 |     const Diagonal<Derived,0> diagonal() const; | 
 |  | 
 |     template<int Index> Diagonal<Derived,Index> diagonal(); | 
 |     template<int Index> const Diagonal<Derived,Index> diagonal() const; | 
 |  | 
 |     Diagonal<Derived, Dynamic> diagonal(Index index); | 
 |     const Diagonal<Derived, Dynamic> diagonal(Index index) const; | 
 |  | 
 |     template<unsigned int Mode> TriangularView<Derived, Mode> part(); | 
 |     template<unsigned int Mode> const TriangularView<Derived, Mode> part() const; | 
 |  | 
 |     template<unsigned int Mode> TriangularView<Derived, Mode> triangularView(); | 
 |     template<unsigned int Mode> const TriangularView<Derived, Mode> triangularView() const; | 
 |  | 
 |     template<unsigned int UpLo> SelfAdjointView<Derived, UpLo> selfadjointView(); | 
 |     template<unsigned int UpLo> const SelfAdjointView<Derived, UpLo> selfadjointView() const; | 
 |  | 
 |     static const ConstantReturnType | 
 |     Constant(Index rows, Index cols, const Scalar& value); | 
 |     static const ConstantReturnType | 
 |     Constant(Index size, const Scalar& value); | 
 |     static const ConstantReturnType | 
 |     Constant(const Scalar& value); | 
 |  | 
 |     static const SequentialLinSpacedReturnType | 
 |     LinSpaced(Sequential_t, const Scalar& low, const Scalar& high, Index size); | 
 |     static const RandomAccessLinSpacedReturnType | 
 |     LinSpaced(const Scalar& low, const Scalar& high, Index size); | 
 |  | 
 |     template<typename CustomNullaryOp> | 
 |     static const CwiseNullaryOp<CustomNullaryOp, Derived> | 
 |     NullaryExpr(Index rows, Index cols, const CustomNullaryOp& func); | 
 |     template<typename CustomNullaryOp> | 
 |     static const CwiseNullaryOp<CustomNullaryOp, Derived> | 
 |     NullaryExpr(Index size, const CustomNullaryOp& func); | 
 |     template<typename CustomNullaryOp> | 
 |     static const CwiseNullaryOp<CustomNullaryOp, Derived> | 
 |     NullaryExpr(const CustomNullaryOp& func); | 
 |  | 
 |     static const ConstantReturnType Zero(Index rows, Index cols); | 
 |     static const ConstantReturnType Zero(Index size); | 
 |     static const ConstantReturnType Zero(); | 
 |     static const ConstantReturnType Ones(Index rows, Index cols); | 
 |     static const ConstantReturnType Ones(Index size); | 
 |     static const ConstantReturnType Ones(); | 
 |  | 
 |     void fill(const Scalar& value); | 
 |     Derived& setConstant(const Scalar& value); | 
 |     Derived& setLinSpaced(const Scalar& low, const Scalar& high, Index size); | 
 |     Derived& setZero(); | 
 |     Derived& setOnes(); | 
 |     Derived& setRandom(); | 
 |  | 
 |     template<typename OtherDerived> | 
 |     bool isApprox(const DenseBase<OtherDerived>& other, | 
 |                   RealScalar prec = NumTraits<Scalar>::dummy_precision()) const; | 
 |     bool isMuchSmallerThan(const RealScalar& other, | 
 |                            RealScalar prec = NumTraits<Scalar>::dummy_precision()) const; | 
 |     template<typename OtherDerived> | 
 |     bool isMuchSmallerThan(const DenseBase<OtherDerived>& other, | 
 |                            RealScalar prec = NumTraits<Scalar>::dummy_precision()) const; | 
 |  | 
 |     bool isApproxToConstant(const Scalar& value, RealScalar prec = NumTraits<Scalar>::dummy_precision()) const; | 
 |     bool isConstant(const Scalar& value, RealScalar prec = NumTraits<Scalar>::dummy_precision()) const; | 
 |     bool isZero(RealScalar prec = NumTraits<Scalar>::dummy_precision()) const; | 
 |     bool isOnes(RealScalar prec = NumTraits<Scalar>::dummy_precision()) const; | 
 |  | 
 |     inline Derived& operator*=(const Scalar& other); | 
 |     inline Derived& operator/=(const Scalar& other); | 
 |  | 
 |     /** \returns the matrix or vector obtained by evaluating this expression. | 
 |       * | 
 |       * Notice that in the case of a plain matrix or vector (not an expression) this function just returns | 
 |       * a const reference, in order to avoid a useless copy. | 
 |       */ | 
 |     EIGEN_STRONG_INLINE const typename ei_eval<Derived>::type eval() const | 
 |     { | 
 |       // Even though MSVC does not honor strong inlining when the return type | 
 |       // is a dynamic matrix, we desperately need strong inlining for fixed | 
 |       // size types on MSVC. | 
 |       return typename ei_eval<Derived>::type(derived()); | 
 |     } | 
 |  | 
 |     template<typename OtherDerived> | 
 |     void swap(DenseBase<OtherDerived> EIGEN_REF_TO_TEMPORARY other); | 
 |  | 
 |     inline const NestByValue<Derived> nestByValue() const; | 
 |     inline const ForceAlignedAccess<Derived> forceAlignedAccess() const; | 
 |     inline ForceAlignedAccess<Derived> forceAlignedAccess(); | 
 |     template<bool Enable> inline const typename ei_meta_if<Enable,ForceAlignedAccess<Derived>,Derived&>::ret forceAlignedAccessIf() const; | 
 |     template<bool Enable> inline typename ei_meta_if<Enable,ForceAlignedAccess<Derived>,Derived&>::ret forceAlignedAccessIf(); | 
 |  | 
 |     Scalar sum() const; | 
 |     Scalar mean() const; | 
 |     Scalar trace() const; | 
 |  | 
 |     Scalar prod() const; | 
 |  | 
 |     typename ei_traits<Derived>::Scalar minCoeff() const; | 
 |     typename ei_traits<Derived>::Scalar maxCoeff() const; | 
 |  | 
 |     typename ei_traits<Derived>::Scalar minCoeff(Index* row, Index* col) const; | 
 |     typename ei_traits<Derived>::Scalar maxCoeff(Index* row, Index* col) const; | 
 |  | 
 |     typename ei_traits<Derived>::Scalar minCoeff(Index* index) const; | 
 |     typename ei_traits<Derived>::Scalar maxCoeff(Index* index) const; | 
 |  | 
 |     template<typename BinaryOp> | 
 |     typename ei_result_of<BinaryOp(typename ei_traits<Derived>::Scalar)>::type | 
 |     redux(const BinaryOp& func) const; | 
 |  | 
 |     template<typename Visitor> | 
 |     void visit(Visitor& func) const; | 
 |  | 
 |     inline const WithFormat<Derived> format(const IOFormat& fmt) const; | 
 |  | 
 | /////////// Array module /////////// | 
 |  | 
 |     bool all(void) const; | 
 |     bool any(void) const; | 
 |     Index count() const; | 
 |  | 
 |     const VectorwiseOp<Derived,Horizontal> rowwise() const; | 
 |     VectorwiseOp<Derived,Horizontal> rowwise(); | 
 |     const VectorwiseOp<Derived,Vertical> colwise() const; | 
 |     VectorwiseOp<Derived,Vertical> colwise(); | 
 |  | 
 |     static const CwiseNullaryOp<ei_scalar_random_op<Scalar>,Derived> Random(Index rows, Index cols); | 
 |     static const CwiseNullaryOp<ei_scalar_random_op<Scalar>,Derived> Random(Index size); | 
 |     static const CwiseNullaryOp<ei_scalar_random_op<Scalar>,Derived> Random(); | 
 |  | 
 |     template<typename ThenDerived,typename ElseDerived> | 
 |     const Select<Derived,ThenDerived,ElseDerived> | 
 |     select(const DenseBase<ThenDerived>& thenMatrix, | 
 |            const DenseBase<ElseDerived>& elseMatrix) const; | 
 |  | 
 |     template<typename ThenDerived> | 
 |     inline const Select<Derived,ThenDerived, typename ThenDerived::ConstantReturnType> | 
 |     select(const DenseBase<ThenDerived>& thenMatrix, typename ThenDerived::Scalar elseScalar) const; | 
 |  | 
 |     template<typename ElseDerived> | 
 |     inline const Select<Derived, typename ElseDerived::ConstantReturnType, ElseDerived > | 
 |     select(typename ElseDerived::Scalar thenScalar, const DenseBase<ElseDerived>& elseMatrix) const; | 
 |  | 
 |     template<int p> RealScalar lpNorm() const; | 
 |  | 
 |     template<int RowFactor, int ColFactor> | 
 |     const Replicate<Derived,RowFactor,ColFactor> replicate() const; | 
 |     const Replicate<Derived,Dynamic,Dynamic> replicate(Index rowFacor,Index colFactor) const; | 
 |  | 
 |     Eigen::Reverse<Derived, BothDirections> reverse(); | 
 |     const Eigen::Reverse<Derived, BothDirections> reverse() const; | 
 |     void reverseInPlace(); | 
 |  | 
 | #ifdef EIGEN2_SUPPORT | 
 |  | 
 |     Block<Derived> corner(CornerType type, Index cRows, Index cCols); | 
 |     const Block<Derived> corner(CornerType type, Index cRows, Index cCols) const; | 
 |     template<int CRows, int CCols> | 
 |     Block<Derived, CRows, CCols> corner(CornerType type); | 
 |     template<int CRows, int CCols> | 
 |     const Block<Derived, CRows, CCols> corner(CornerType type) const; | 
 |  | 
 | #endif // EIGEN2_SUPPORT | 
 |  | 
 |     #ifdef EIGEN_DENSEBASE_PLUGIN | 
 |     #include EIGEN_DENSEBASE_PLUGIN | 
 |     #endif | 
 |  | 
 |     // disable the use of evalTo for dense objects with a nice compilation error | 
 |     template<typename Dest> inline void evalTo(Dest& ) const | 
 |     { | 
 |       EIGEN_STATIC_ASSERT((ei_is_same_type<Dest,void>::ret),THE_EVAL_EVALTO_FUNCTION_SHOULD_NEVER_BE_CALLED_FOR_DENSE_OBJECTS); | 
 |     } | 
 |  | 
 |   protected: | 
 |     /** Default constructor. Do nothing. */ | 
 |     DenseBase() | 
 |     { | 
 |       /* Just checks for self-consistency of the flags. | 
 |        * Only do it when debugging Eigen, as this borders on paranoiac and could slow compilation down | 
 |        */ | 
 | #ifdef EIGEN_INTERNAL_DEBUGGING | 
 |       EIGEN_STATIC_ASSERT(ei_are_flags_consistent<Flags>::ret, | 
 |                           INVALID_MATRIXBASE_TEMPLATE_PARAMETERS) | 
 |       EIGEN_STATIC_ASSERT((EIGEN_IMPLIES(MaxRowsAtCompileTime==1 && MaxColsAtCompileTime!=1, int(IsRowMajor)) | 
 |                         && EIGEN_IMPLIES(MaxColsAtCompileTime==1 && MaxRowsAtCompileTime!=1, int(!IsRowMajor))), | 
 |                           INVALID_STORAGE_ORDER_FOR_THIS_VECTOR_EXPRESSION) | 
 | #endif | 
 |     } | 
 |  | 
 |   private: | 
 |     explicit DenseBase(int); | 
 |     DenseBase(int,int); | 
 |     template<typename OtherDerived> explicit DenseBase(const DenseBase<OtherDerived>&); | 
 | }; | 
 |  | 
 | #endif // EIGEN_DENSEBASE_H |