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+// 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 <gael.guennebaud@inria.fr>
+//
+// 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_DENSEBASE_H
+#define EIGEN_DENSEBASE_H
+
+namespace Eigen {
+
+namespace internal {
+
+// The index type defined by EIGEN_DEFAULT_DENSE_INDEX_TYPE must be a signed type.
+// This dummy function simply aims at checking that at compile time.
+static inline void check_DenseIndex_is_signed() {
+ EIGEN_STATIC_ASSERT(NumTraits<DenseIndex>::IsSigned,THE_INDEX_TYPE_MUST_BE_A_SIGNED_TYPE)
+}
+
+} // end namespace internal
+
+/** \class DenseBase
+ * \ingroup Core_Module
+ *
+ * \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.
+ *
+ * \tparam Derived is the derived type, e.g., a matrix type or an expression.
+ *
+ * This class can be extended with the help of the plugin mechanism described on the page
+ * \ref TopicCustomizing_Plugins by defining the preprocessor symbol \c EIGEN_DENSEBASE_PLUGIN.
+ *
+ * \sa \blank \ref TopicClassHierarchy
+ */
+template<typename Derived> class DenseBase
+#ifndef EIGEN_PARSED_BY_DOXYGEN
+ : public DenseCoeffsBase<Derived, internal::accessors_level<Derived>::value>
+#else
+ : public DenseCoeffsBase<Derived,DirectWriteAccessors>
+#endif // not EIGEN_PARSED_BY_DOXYGEN
+{
+ public:
+
+ /** Inner iterator type to iterate over the coefficients of a row or column.
+ * \sa class InnerIterator
+ */
+ typedef Eigen::InnerIterator<Derived> InnerIterator;
+
+ typedef typename internal::traits<Derived>::StorageKind StorageKind;
+
+ /**
+ * \brief The type used to store indices
+ * \details This typedef is relevant for types that store multiple indices such as
+ * PermutationMatrix or Transpositions, otherwise it defaults to Eigen::Index
+ * \sa \blank \ref TopicPreprocessorDirectives, Eigen::Index, SparseMatrixBase.
+ */
+ typedef typename internal::traits<Derived>::StorageIndex StorageIndex;
+
+ /** The numeric type of the expression' coefficients, e.g. float, double, int or std::complex<float>, etc. */
+ typedef typename internal::traits<Derived>::Scalar Scalar;
+
+ /** The numeric type of the expression' coefficients, e.g. float, double, int or std::complex<float>, etc.
+ *
+ * It is an alias for the Scalar type */
+ typedef Scalar value_type;
+
+ typedef typename NumTraits<Scalar>::Real RealScalar;
+ typedef DenseCoeffsBase<Derived, internal::accessors_level<Derived>::value> 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::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;
+ typedef typename Base::CoeffReturnType CoeffReturnType;
+
+ enum {
+
+ RowsAtCompileTime = internal::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 = internal::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 = (internal::size_at_compile_time<internal::traits<Derived>::RowsAtCompileTime,
+ internal::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 = internal::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 = internal::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 = (internal::size_at_compile_time<internal::traits<Derived>::MaxRowsAtCompileTime,
+ internal::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 = internal::traits<Derived>::RowsAtCompileTime == 1
+ || internal::traits<Derived>::ColsAtCompileTime == 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). */
+
+ NumDimensions = int(MaxSizeAtCompileTime) == 1 ? 0 : bool(IsVectorAtCompileTime) ? 1 : 2,
+ /**< This value is equal to Tensor::NumDimensions, i.e. 0 for scalars, 1 for vectors,
+ * and 2 for matrices.
+ */
+
+ Flags = internal::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) ? int(SizeAtCompileTime)
+ : int(IsRowMajor) ? int(ColsAtCompileTime) : int(RowsAtCompileTime),
+
+ InnerStrideAtCompileTime = internal::inner_stride_at_compile_time<Derived>::ret,
+ OuterStrideAtCompileTime = internal::outer_stride_at_compile_time<Derived>::ret
+ };
+
+ typedef typename internal::find_best_packet<Scalar,SizeAtCompileTime>::type PacketScalar;
+
+ enum { IsPlainObjectBase = 0 };
+
+ /** The plain matrix type corresponding to this expression.
+ * \sa PlainObject */
+ typedef Matrix<typename internal::traits<Derived>::Scalar,
+ internal::traits<Derived>::RowsAtCompileTime,
+ internal::traits<Derived>::ColsAtCompileTime,
+ AutoAlign | (internal::traits<Derived>::Flags&RowMajorBit ? RowMajor : ColMajor),
+ internal::traits<Derived>::MaxRowsAtCompileTime,
+ internal::traits<Derived>::MaxColsAtCompileTime
+ > PlainMatrix;
+
+ /** The plain array type corresponding to this expression.
+ * \sa PlainObject */
+ typedef Array<typename internal::traits<Derived>::Scalar,
+ internal::traits<Derived>::RowsAtCompileTime,
+ internal::traits<Derived>::ColsAtCompileTime,
+ AutoAlign | (internal::traits<Derived>::Flags&RowMajorBit ? RowMajor : ColMajor),
+ internal::traits<Derived>::MaxRowsAtCompileTime,
+ internal::traits<Derived>::MaxColsAtCompileTime
+ > PlainArray;
+
+ /** \brief The plain matrix or array type corresponding to this expression.
+ *
+ * This is not necessarily exactly the return type of eval(). In the case of plain matrices,
+ * the return type of eval() is a const reference to a matrix, not a matrix! It is however guaranteed
+ * that the return type of eval() is either PlainObject or const PlainObject&.
+ */
+ typedef typename internal::conditional<internal::is_same<typename internal::traits<Derived>::XprKind,MatrixXpr >::value,
+ PlainMatrix, PlainArray>::type PlainObject;
+
+ /** \returns the number of nonzero coefficients which is in practice the number
+ * of stored coefficients. */
+ EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR
+ inline Index nonZeros() const { return size(); }
+
+ /** \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 \ref TopicStorageOrders "storage order", i.e., the number of columns for a
+ * column-major matrix, and the number of rows for a row-major matrix. */
+ EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR
+ 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 \ref TopicStorageOrders "storage order", i.e., the number of rows for a
+ * column-major matrix, and the number of columns for a row-major matrix. */
+ EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR
+ 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.
+ */
+ EIGEN_DEVICE_FUNC
+ void resize(Index newSize)
+ {
+ EIGEN_ONLY_USED_FOR_DEBUG(newSize);
+ eigen_assert(newSize == 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.
+ */
+ EIGEN_DEVICE_FUNC
+ void resize(Index rows, Index cols)
+ {
+ EIGEN_ONLY_USED_FOR_DEBUG(rows);
+ EIGEN_ONLY_USED_FOR_DEBUG(cols);
+ eigen_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<internal::scalar_constant_op<Scalar>,PlainObject> ConstantReturnType;
+ /** \internal \deprecated Represents a vector with linearly spaced coefficients that allows sequential access only. */
+ EIGEN_DEPRECATED typedef CwiseNullaryOp<internal::linspaced_op<Scalar>,PlainObject> SequentialLinSpacedReturnType;
+ /** \internal Represents a vector with linearly spaced coefficients that allows random access. */
+ typedef CwiseNullaryOp<internal::linspaced_op<Scalar>,PlainObject> RandomAccessLinSpacedReturnType;
+ /** \internal the return type of MatrixBase::eigenvalues() */
+ typedef Matrix<typename NumTraits<typename internal::traits<Derived>::Scalar>::Real, internal::traits<Derived>::ColsAtCompileTime, 1> EigenvaluesReturnType;
+
+#endif // not EIGEN_PARSED_BY_DOXYGEN
+
+ /** Copies \a other into *this. \returns a reference to *this. */
+ template<typename OtherDerived>
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
+ 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)
+ */
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
+ Derived& operator=(const DenseBase& other);
+
+ template<typename OtherDerived>
+ EIGEN_DEVICE_FUNC
+ Derived& operator=(const EigenBase<OtherDerived> &other);
+
+ template<typename OtherDerived>
+ EIGEN_DEVICE_FUNC
+ Derived& operator+=(const EigenBase<OtherDerived> &other);
+
+ template<typename OtherDerived>
+ EIGEN_DEVICE_FUNC
+ Derived& operator-=(const EigenBase<OtherDerived> &other);
+
+ template<typename OtherDerived>
+ EIGEN_DEVICE_FUNC
+ Derived& operator=(const ReturnByValue<OtherDerived>& func);
+
+ /** \internal
+ * Copies \a other into *this without evaluating other. \returns a reference to *this. */
+ template<typename OtherDerived>
+ /** \deprecated */
+ EIGEN_DEPRECATED EIGEN_DEVICE_FUNC
+ Derived& lazyAssign(const DenseBase<OtherDerived>& other);
+
+ EIGEN_DEVICE_FUNC
+ CommaInitializer<Derived> operator<< (const Scalar& s);
+
+ template<unsigned int Added,unsigned int Removed>
+ /** \deprecated it now returns \c *this */
+ EIGEN_DEPRECATED
+ const Derived& flagged() const
+ { return derived(); }
+
+ template<typename OtherDerived>
+ EIGEN_DEVICE_FUNC
+ CommaInitializer<Derived> operator<< (const DenseBase<OtherDerived>& other);
+
+ typedef Transpose<Derived> TransposeReturnType;
+ EIGEN_DEVICE_FUNC
+ TransposeReturnType transpose();
+ typedef typename internal::add_const<Transpose<const Derived> >::type ConstTransposeReturnType;
+ EIGEN_DEVICE_FUNC
+ ConstTransposeReturnType transpose() const;
+ EIGEN_DEVICE_FUNC
+ void transposeInPlace();
+
+ EIGEN_DEVICE_FUNC static const ConstantReturnType
+ Constant(Index rows, Index cols, const Scalar& value);
+ EIGEN_DEVICE_FUNC static const ConstantReturnType
+ Constant(Index size, const Scalar& value);
+ EIGEN_DEVICE_FUNC static const ConstantReturnType
+ Constant(const Scalar& value);
+
+ EIGEN_DEPRECATED EIGEN_DEVICE_FUNC static const RandomAccessLinSpacedReturnType
+ LinSpaced(Sequential_t, Index size, const Scalar& low, const Scalar& high);
+ EIGEN_DEPRECATED EIGEN_DEVICE_FUNC static const RandomAccessLinSpacedReturnType
+ LinSpaced(Sequential_t, const Scalar& low, const Scalar& high);
+
+ EIGEN_DEVICE_FUNC static const RandomAccessLinSpacedReturnType
+ LinSpaced(Index size, const Scalar& low, const Scalar& high);
+ EIGEN_DEVICE_FUNC static const RandomAccessLinSpacedReturnType
+ LinSpaced(const Scalar& low, const Scalar& high);
+
+ template<typename CustomNullaryOp> EIGEN_DEVICE_FUNC
+ static const CwiseNullaryOp<CustomNullaryOp, PlainObject>
+ NullaryExpr(Index rows, Index cols, const CustomNullaryOp& func);
+ template<typename CustomNullaryOp> EIGEN_DEVICE_FUNC
+ static const CwiseNullaryOp<CustomNullaryOp, PlainObject>
+ NullaryExpr(Index size, const CustomNullaryOp& func);
+ template<typename CustomNullaryOp> EIGEN_DEVICE_FUNC
+ static const CwiseNullaryOp<CustomNullaryOp, PlainObject>
+ NullaryExpr(const CustomNullaryOp& func);
+
+ EIGEN_DEVICE_FUNC static const ConstantReturnType Zero(Index rows, Index cols);
+ EIGEN_DEVICE_FUNC static const ConstantReturnType Zero(Index size);
+ EIGEN_DEVICE_FUNC static const ConstantReturnType Zero();
+ EIGEN_DEVICE_FUNC static const ConstantReturnType Ones(Index rows, Index cols);
+ EIGEN_DEVICE_FUNC static const ConstantReturnType Ones(Index size);
+ EIGEN_DEVICE_FUNC static const ConstantReturnType Ones();
+
+ EIGEN_DEVICE_FUNC void fill(const Scalar& value);
+ EIGEN_DEVICE_FUNC Derived& setConstant(const Scalar& value);
+ EIGEN_DEVICE_FUNC Derived& setLinSpaced(Index size, const Scalar& low, const Scalar& high);
+ EIGEN_DEVICE_FUNC Derived& setLinSpaced(const Scalar& low, const Scalar& high);
+ EIGEN_DEVICE_FUNC Derived& setZero();
+ EIGEN_DEVICE_FUNC Derived& setOnes();
+ EIGEN_DEVICE_FUNC Derived& setRandom();
+
+ template<typename OtherDerived> EIGEN_DEVICE_FUNC
+ bool isApprox(const DenseBase<OtherDerived>& other,
+ const RealScalar& prec = NumTraits<Scalar>::dummy_precision()) const;
+ EIGEN_DEVICE_FUNC
+ bool isMuchSmallerThan(const RealScalar& other,
+ const RealScalar& prec = NumTraits<Scalar>::dummy_precision()) const;
+ template<typename OtherDerived> EIGEN_DEVICE_FUNC
+ bool isMuchSmallerThan(const DenseBase<OtherDerived>& other,
+ const RealScalar& prec = NumTraits<Scalar>::dummy_precision()) const;
+
+ EIGEN_DEVICE_FUNC bool isApproxToConstant(const Scalar& value, const RealScalar& prec = NumTraits<Scalar>::dummy_precision()) const;
+ EIGEN_DEVICE_FUNC bool isConstant(const Scalar& value, const RealScalar& prec = NumTraits<Scalar>::dummy_precision()) const;
+ EIGEN_DEVICE_FUNC bool isZero(const RealScalar& prec = NumTraits<Scalar>::dummy_precision()) const;
+ EIGEN_DEVICE_FUNC bool isOnes(const RealScalar& prec = NumTraits<Scalar>::dummy_precision()) const;
+
+ inline bool hasNaN() const;
+ inline bool allFinite() const;
+
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
+ Derived& operator*=(const Scalar& other);
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
+ Derived& operator/=(const Scalar& other);
+
+ typedef typename internal::add_const_on_value_type<typename internal::eval<Derived>::type>::type EvalReturnType;
+ /** \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.
+ *
+ * \warning Be careful with eval() and the auto C++ keyword, as detailed in this \link TopicPitfalls_auto_keyword page \endlink.
+ */
+ EIGEN_DEVICE_FUNC
+ EIGEN_STRONG_INLINE EvalReturnType 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 internal::eval<Derived>::type(derived());
+ }
+
+ /** swaps *this with the expression \a other.
+ *
+ */
+ template<typename OtherDerived>
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
+ void swap(const DenseBase<OtherDerived>& other)
+ {
+ EIGEN_STATIC_ASSERT(!OtherDerived::IsPlainObjectBase,THIS_EXPRESSION_IS_NOT_A_LVALUE__IT_IS_READ_ONLY);
+ eigen_assert(rows()==other.rows() && cols()==other.cols());
+ call_assignment(derived(), other.const_cast_derived(), internal::swap_assign_op<Scalar>());
+ }
+
+ /** swaps *this with the matrix or array \a other.
+ *
+ */
+ template<typename OtherDerived>
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
+ void swap(PlainObjectBase<OtherDerived>& other)
+ {
+ eigen_assert(rows()==other.rows() && cols()==other.cols());
+ call_assignment(derived(), other.derived(), internal::swap_assign_op<Scalar>());
+ }
+
+ EIGEN_DEVICE_FUNC inline const NestByValue<Derived> nestByValue() const;
+ EIGEN_DEVICE_FUNC inline const ForceAlignedAccess<Derived> forceAlignedAccess() const;
+ EIGEN_DEVICE_FUNC inline ForceAlignedAccess<Derived> forceAlignedAccess();
+ template<bool Enable> EIGEN_DEVICE_FUNC
+ inline const typename internal::conditional<Enable,ForceAlignedAccess<Derived>,Derived&>::type forceAlignedAccessIf() const;
+ template<bool Enable> EIGEN_DEVICE_FUNC
+ inline typename internal::conditional<Enable,ForceAlignedAccess<Derived>,Derived&>::type forceAlignedAccessIf();
+
+ EIGEN_DEVICE_FUNC Scalar sum() const;
+ EIGEN_DEVICE_FUNC Scalar mean() const;
+ EIGEN_DEVICE_FUNC Scalar trace() const;
+
+ EIGEN_DEVICE_FUNC Scalar prod() const;
+
+ template<int NaNPropagation>
+ EIGEN_DEVICE_FUNC typename internal::traits<Derived>::Scalar minCoeff() const;
+ template<int NaNPropagation>
+ EIGEN_DEVICE_FUNC typename internal::traits<Derived>::Scalar maxCoeff() const;
+
+
+ // By default, the fastest version with undefined NaN propagation semantics is
+ // used.
+ // TODO(rmlarsen): Replace with default template argument when we move to
+ // c++11 or beyond.
+ EIGEN_DEVICE_FUNC inline typename internal::traits<Derived>::Scalar minCoeff() const {
+ return minCoeff<PropagateFast>();
+ }
+ EIGEN_DEVICE_FUNC inline typename internal::traits<Derived>::Scalar maxCoeff() const {
+ return maxCoeff<PropagateFast>();
+ }
+
+ template<int NaNPropagation, typename IndexType>
+ EIGEN_DEVICE_FUNC
+ typename internal::traits<Derived>::Scalar minCoeff(IndexType* row, IndexType* col) const;
+ template<int NaNPropagation, typename IndexType>
+ EIGEN_DEVICE_FUNC
+ typename internal::traits<Derived>::Scalar maxCoeff(IndexType* row, IndexType* col) const;
+ template<int NaNPropagation, typename IndexType>
+ EIGEN_DEVICE_FUNC
+ typename internal::traits<Derived>::Scalar minCoeff(IndexType* index) const;
+ template<int NaNPropagation, typename IndexType>
+ EIGEN_DEVICE_FUNC
+ typename internal::traits<Derived>::Scalar maxCoeff(IndexType* index) const;
+
+ // TODO(rmlarsen): Replace these methods with a default template argument.
+ template<typename IndexType>
+ EIGEN_DEVICE_FUNC inline
+ typename internal::traits<Derived>::Scalar minCoeff(IndexType* row, IndexType* col) const {
+ return minCoeff<PropagateFast>(row, col);
+ }
+ template<typename IndexType>
+ EIGEN_DEVICE_FUNC inline
+ typename internal::traits<Derived>::Scalar maxCoeff(IndexType* row, IndexType* col) const {
+ return maxCoeff<PropagateFast>(row, col);
+ }
+ template<typename IndexType>
+ EIGEN_DEVICE_FUNC inline
+ typename internal::traits<Derived>::Scalar minCoeff(IndexType* index) const {
+ return minCoeff<PropagateFast>(index);
+ }
+ template<typename IndexType>
+ EIGEN_DEVICE_FUNC inline
+ typename internal::traits<Derived>::Scalar maxCoeff(IndexType* index) const {
+ return maxCoeff<PropagateFast>(index);
+ }
+
+ template<typename BinaryOp>
+ EIGEN_DEVICE_FUNC
+ Scalar redux(const BinaryOp& func) const;
+
+ template<typename Visitor>
+ EIGEN_DEVICE_FUNC
+ void visit(Visitor& func) const;
+
+ /** \returns a WithFormat proxy object allowing to print a matrix the with given
+ * format \a fmt.
+ *
+ * See class IOFormat for some examples.
+ *
+ * \sa class IOFormat, class WithFormat
+ */
+ inline const WithFormat<Derived> format(const IOFormat& fmt) const
+ {
+ return WithFormat<Derived>(derived(), fmt);
+ }
+
+ /** \returns the unique coefficient of a 1x1 expression */
+ EIGEN_DEVICE_FUNC
+ CoeffReturnType value() const
+ {
+ EIGEN_STATIC_ASSERT_SIZE_1x1(Derived)
+ eigen_assert(this->rows() == 1 && this->cols() == 1);
+ return derived().coeff(0,0);
+ }
+
+ EIGEN_DEVICE_FUNC bool all() const;
+ EIGEN_DEVICE_FUNC bool any() const;
+ EIGEN_DEVICE_FUNC Index count() const;
+
+ typedef VectorwiseOp<Derived, Horizontal> RowwiseReturnType;
+ typedef const VectorwiseOp<const Derived, Horizontal> ConstRowwiseReturnType;
+ typedef VectorwiseOp<Derived, Vertical> ColwiseReturnType;
+ typedef const VectorwiseOp<const Derived, Vertical> ConstColwiseReturnType;
+
+ /** \returns a VectorwiseOp wrapper of *this for broadcasting and partial reductions
+ *
+ * Example: \include MatrixBase_rowwise.cpp
+ * Output: \verbinclude MatrixBase_rowwise.out
+ *
+ * \sa colwise(), class VectorwiseOp, \ref TutorialReductionsVisitorsBroadcasting
+ */
+ //Code moved here due to a CUDA compiler bug
+ EIGEN_DEVICE_FUNC inline ConstRowwiseReturnType rowwise() const {
+ return ConstRowwiseReturnType(derived());
+ }
+ EIGEN_DEVICE_FUNC RowwiseReturnType rowwise();
+
+ /** \returns a VectorwiseOp wrapper of *this broadcasting and partial reductions
+ *
+ * Example: \include MatrixBase_colwise.cpp
+ * Output: \verbinclude MatrixBase_colwise.out
+ *
+ * \sa rowwise(), class VectorwiseOp, \ref TutorialReductionsVisitorsBroadcasting
+ */
+ EIGEN_DEVICE_FUNC inline ConstColwiseReturnType colwise() const {
+ return ConstColwiseReturnType(derived());
+ }
+ EIGEN_DEVICE_FUNC ColwiseReturnType colwise();
+
+ typedef CwiseNullaryOp<internal::scalar_random_op<Scalar>,PlainObject> RandomReturnType;
+ static const RandomReturnType Random(Index rows, Index cols);
+ static const RandomReturnType Random(Index size);
+ static const RandomReturnType Random();
+
+ template<typename ThenDerived,typename ElseDerived>
+ inline EIGEN_DEVICE_FUNC const Select<Derived,ThenDerived,ElseDerived>
+ select(const DenseBase<ThenDerived>& thenMatrix,
+ const DenseBase<ElseDerived>& elseMatrix) const;
+
+ template<typename ThenDerived>
+ inline EIGEN_DEVICE_FUNC const Select<Derived,ThenDerived, typename ThenDerived::ConstantReturnType>
+ select(const DenseBase<ThenDerived>& thenMatrix, const typename ThenDerived::Scalar& elseScalar) const;
+
+ template<typename ElseDerived>
+ inline EIGEN_DEVICE_FUNC const Select<Derived, typename ElseDerived::ConstantReturnType, ElseDerived >
+ select(const typename ElseDerived::Scalar& thenScalar, const DenseBase<ElseDerived>& elseMatrix) const;
+
+ template<int p> RealScalar lpNorm() const;
+
+ template<int RowFactor, int ColFactor>
+ EIGEN_DEVICE_FUNC
+ const Replicate<Derived,RowFactor,ColFactor> replicate() const;
+ /**
+ * \return an expression of the replication of \c *this
+ *
+ * Example: \include MatrixBase_replicate_int_int.cpp
+ * Output: \verbinclude MatrixBase_replicate_int_int.out
+ *
+ * \sa VectorwiseOp::replicate(), DenseBase::replicate<int,int>(), class Replicate
+ */
+ //Code moved here due to a CUDA compiler bug
+ EIGEN_DEVICE_FUNC
+ const Replicate<Derived, Dynamic, Dynamic> replicate(Index rowFactor, Index colFactor) const
+ {
+ return Replicate<Derived, Dynamic, Dynamic>(derived(), rowFactor, colFactor);
+ }
+
+ typedef Reverse<Derived, BothDirections> ReverseReturnType;
+ typedef const Reverse<const Derived, BothDirections> ConstReverseReturnType;
+ EIGEN_DEVICE_FUNC ReverseReturnType reverse();
+ /** This is the const version of reverse(). */
+ //Code moved here due to a CUDA compiler bug
+ EIGEN_DEVICE_FUNC ConstReverseReturnType reverse() const
+ {
+ return ConstReverseReturnType(derived());
+ }
+ EIGEN_DEVICE_FUNC void reverseInPlace();
+
+ #ifdef EIGEN_PARSED_BY_DOXYGEN
+ /** STL-like <a href="https://en.cppreference.com/w/cpp/named_req/RandomAccessIterator">RandomAccessIterator</a>
+ * iterator type as returned by the begin() and end() methods.
+ */
+ typedef random_access_iterator_type iterator;
+ /** This is the const version of iterator (aka read-only) */
+ typedef random_access_iterator_type const_iterator;
+ #else
+ typedef typename internal::conditional< (Flags&DirectAccessBit)==DirectAccessBit,
+ internal::pointer_based_stl_iterator<Derived>,
+ internal::generic_randaccess_stl_iterator<Derived>
+ >::type iterator_type;
+
+ typedef typename internal::conditional< (Flags&DirectAccessBit)==DirectAccessBit,
+ internal::pointer_based_stl_iterator<const Derived>,
+ internal::generic_randaccess_stl_iterator<const Derived>
+ >::type const_iterator_type;
+
+ // Stl-style iterators are supported only for vectors.
+
+ typedef typename internal::conditional< IsVectorAtCompileTime,
+ iterator_type,
+ void
+ >::type iterator;
+
+ typedef typename internal::conditional< IsVectorAtCompileTime,
+ const_iterator_type,
+ void
+ >::type const_iterator;
+ #endif
+
+ inline iterator begin();
+ inline const_iterator begin() const;
+ inline const_iterator cbegin() const;
+ inline iterator end();
+ inline const_iterator end() const;
+ inline const_iterator cend() const;
+
+#define EIGEN_CURRENT_STORAGE_BASE_CLASS Eigen::DenseBase
+#define EIGEN_DOC_BLOCK_ADDONS_NOT_INNER_PANEL
+#define EIGEN_DOC_BLOCK_ADDONS_INNER_PANEL_IF(COND)
+#define EIGEN_DOC_UNARY_ADDONS(X,Y)
+# include "../plugins/CommonCwiseUnaryOps.h"
+# include "../plugins/BlockMethods.h"
+# include "../plugins/IndexedViewMethods.h"
+# include "../plugins/ReshapedMethods.h"
+# ifdef EIGEN_DENSEBASE_PLUGIN
+# include EIGEN_DENSEBASE_PLUGIN
+# endif
+#undef EIGEN_CURRENT_STORAGE_BASE_CLASS
+#undef EIGEN_DOC_BLOCK_ADDONS_NOT_INNER_PANEL
+#undef EIGEN_DOC_BLOCK_ADDONS_INNER_PANEL_IF
+#undef EIGEN_DOC_UNARY_ADDONS
+
+ // disable the use of evalTo for dense objects with a nice compilation error
+ template<typename Dest>
+ EIGEN_DEVICE_FUNC
+ inline void evalTo(Dest& ) const
+ {
+ EIGEN_STATIC_ASSERT((internal::is_same<Dest,void>::value),THE_EVAL_EVALTO_FUNCTION_SHOULD_NEVER_BE_CALLED_FOR_DENSE_OBJECTS);
+ }
+
+ protected:
+ EIGEN_DEFAULT_COPY_CONSTRUCTOR(DenseBase)
+ /** Default constructor. Do nothing. */
+ EIGEN_DEVICE_FUNC DenseBase()
+ {
+ /* Just checks for self-consistency of the flags.
+ * Only do it when debugging Eigen, as this borders on paranoia and could slow compilation down
+ */
+#ifdef EIGEN_INTERNAL_DEBUGGING
+ 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:
+ EIGEN_DEVICE_FUNC explicit DenseBase(int);
+ EIGEN_DEVICE_FUNC DenseBase(int,int);
+ template<typename OtherDerived> EIGEN_DEVICE_FUNC explicit DenseBase(const DenseBase<OtherDerived>&);
+};
+
+} // end namespace Eigen
+
+#endif // EIGEN_DENSEBASE_H