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515 lines
23 KiB
C++
515 lines
23 KiB
C++
// This file is part of Eigen, a lightweight C++ template library
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// for linear algebra.
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//
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// Copyright (C) 2006-2009 Benoit Jacob <jacob.benoit.1@gmail.com>
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// Copyright (C) 2008-2010 Gael Guennebaud <g.gael@free.fr>
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//
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// Eigen is free software; you can redistribute it and/or
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// modify it under the terms of the GNU Lesser General Public
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// License as published by the Free Software Foundation; either
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// version 3 of the License, or (at your option) any later version.
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//
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// Alternatively, you can redistribute it and/or
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// modify it under the terms of the GNU General Public License as
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// published by the Free Software Foundation; either version 2 of
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// the License, or (at your option) any later version.
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//
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// Eigen is distributed in the hope that it will be useful, but WITHOUT ANY
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// WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
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// FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License or the
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// GNU General Public License for more details.
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//
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// You should have received a copy of the GNU Lesser General Public
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// License and a copy of the GNU General Public License along with
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// Eigen. If not, see <http://www.gnu.org/licenses/>.
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#ifndef EIGEN_DENSEBASE_H
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#define EIGEN_DENSEBASE_H
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/** \class DenseBase
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*
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* \brief Base class for all dense matrices, vectors, and arrays
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*
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* This class is the base that is inherited by all dense objects (matrix, vector, arrays,
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* and related expression types). The common Eigen API for dense objects is contained in this class.
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*
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* \param Derived is the derived type, e.g., a matrix type or an expression.
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*/
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template<typename Derived> class DenseBase
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#ifndef EIGEN_PARSED_BY_DOXYGEN
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: public ei_special_scalar_op_base<Derived,typename ei_traits<Derived>::Scalar,
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typename NumTraits<typename ei_traits<Derived>::Scalar>::Real>
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#else
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: public EigenBase<Derived>
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#endif // not EIGEN_PARSED_BY_DOXYGEN
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{
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public:
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#ifndef EIGEN_PARSED_BY_DOXYGEN
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using ei_special_scalar_op_base<Derived,typename ei_traits<Derived>::Scalar,
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typename NumTraits<typename ei_traits<Derived>::Scalar>::Real>::operator*;
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class InnerIterator;
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typedef typename ei_traits<Derived>::Scalar Scalar;
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typedef typename ei_packet_traits<Scalar>::type PacketScalar;
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using EigenBase<Derived>::derived;
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using EigenBase<Derived>::const_cast_derived;
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#endif // not EIGEN_PARSED_BY_DOXYGEN
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enum {
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RowsAtCompileTime = ei_traits<Derived>::RowsAtCompileTime,
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/**< The number of rows at compile-time. This is just a copy of the value provided
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* by the \a Derived type. If a value is not known at compile-time,
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* it is set to the \a Dynamic constant.
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* \sa MatrixBase::rows(), MatrixBase::cols(), ColsAtCompileTime, SizeAtCompileTime */
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ColsAtCompileTime = ei_traits<Derived>::ColsAtCompileTime,
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/**< The number of columns at compile-time. This is just a copy of the value provided
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* by the \a Derived type. If a value is not known at compile-time,
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* it is set to the \a Dynamic constant.
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* \sa MatrixBase::rows(), MatrixBase::cols(), RowsAtCompileTime, SizeAtCompileTime */
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SizeAtCompileTime = (ei_size_at_compile_time<ei_traits<Derived>::RowsAtCompileTime,
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ei_traits<Derived>::ColsAtCompileTime>::ret),
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/**< This is equal to the number of coefficients, i.e. the number of
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* rows times the number of columns, or to \a Dynamic if this is not
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* known at compile-time. \sa RowsAtCompileTime, ColsAtCompileTime */
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MaxRowsAtCompileTime = ei_traits<Derived>::MaxRowsAtCompileTime,
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/**< This value is equal to the maximum possible number of rows that this expression
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* might have. If this expression might have an arbitrarily high number of rows,
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* this value is set to \a Dynamic.
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*
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* This value is useful to know when evaluating an expression, in order to determine
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* whether it is possible to avoid doing a dynamic memory allocation.
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*
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* \sa RowsAtCompileTime, MaxColsAtCompileTime, MaxSizeAtCompileTime
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*/
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MaxColsAtCompileTime = ei_traits<Derived>::MaxColsAtCompileTime,
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/**< This value is equal to the maximum possible number of columns that this expression
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* might have. If this expression might have an arbitrarily high number of columns,
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* this value is set to \a Dynamic.
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*
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* This value is useful to know when evaluating an expression, in order to determine
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* whether it is possible to avoid doing a dynamic memory allocation.
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*
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* \sa ColsAtCompileTime, MaxRowsAtCompileTime, MaxSizeAtCompileTime
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*/
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MaxSizeAtCompileTime = (ei_size_at_compile_time<ei_traits<Derived>::MaxRowsAtCompileTime,
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ei_traits<Derived>::MaxColsAtCompileTime>::ret),
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/**< This value is equal to the maximum possible number of coefficients that this expression
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* might have. If this expression might have an arbitrarily high number of coefficients,
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* this value is set to \a Dynamic.
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*
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* This value is useful to know when evaluating an expression, in order to determine
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* whether it is possible to avoid doing a dynamic memory allocation.
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*
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* \sa SizeAtCompileTime, MaxRowsAtCompileTime, MaxColsAtCompileTime
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*/
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IsVectorAtCompileTime = ei_traits<Derived>::RowsAtCompileTime == 1
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|| ei_traits<Derived>::ColsAtCompileTime == 1,
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/**< This is set to true if either the number of rows or the number of
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* columns is known at compile-time to be equal to 1. Indeed, in that case,
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* we are dealing with a column-vector (if there is only one column) or with
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* a row-vector (if there is only one row). */
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Flags = ei_traits<Derived>::Flags,
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/**< This stores expression \ref flags flags which may or may not be inherited by new expressions
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* constructed from this one. See the \ref flags "list of flags".
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*/
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CoeffReadCost = ei_traits<Derived>::CoeffReadCost,
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/**< This is a rough measure of how expensive it is to read one coefficient from
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* this expression.
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*/
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#ifndef EIGEN_PARSED_BY_DOXYGEN
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_HasDirectAccess = (int(Flags)&DirectAccessBit) ? 1 : 0 // workaround sunCC
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#endif
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};
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#ifndef EIGEN_PARSED_BY_DOXYGEN
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/** This is the "real scalar" type; if the \a Scalar type is already real numbers
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* (e.g. int, float or double) then \a RealScalar is just the same as \a Scalar. If
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* \a Scalar is \a std::complex<T> then RealScalar is \a T.
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*
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* \sa class NumTraits
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*/
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typedef typename NumTraits<Scalar>::Real RealScalar;
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#endif // not EIGEN_PARSED_BY_DOXYGEN
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/** \returns the number of rows. \sa cols(), RowsAtCompileTime */
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inline int rows() const { return derived().rows(); }
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/** \returns the number of columns. \sa rows(), ColsAtCompileTime*/
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inline int cols() const { return derived().cols(); }
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/** \returns the number of coefficients, which is rows()*cols().
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* \sa rows(), cols(), SizeAtCompileTime. */
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inline int size() const { return rows() * cols(); }
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/** \returns the number of nonzero coefficients which is in practice the number
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* of stored coefficients. */
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inline int nonZeros() const { return size(); }
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/** \returns true if either the number of rows or the number of columns is equal to 1.
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* In other words, this function returns
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* \code rows()==1 || cols()==1 \endcode
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* \sa rows(), cols(), IsVectorAtCompileTime. */
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inline bool isVector() const { return rows()==1 || cols()==1; }
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/** \returns the size of the storage major dimension,
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* i.e., the number of columns for a columns major matrix, and the number of rows otherwise */
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int outerSize() const { return (int(Flags)&RowMajorBit) ? this->rows() : this->cols(); }
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/** \returns the size of the inner dimension according to the storage order,
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* i.e., the number of rows for a columns major matrix, and the number of cols otherwise */
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int innerSize() const { return (int(Flags)&RowMajorBit) ? this->cols() : this->rows(); }
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/** Only plain matrices, not expressions may be resized; therefore the only useful resize method is
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* Matrix::resize(). The present method only asserts that the new size equals the old size, and does
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* nothing else.
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*/
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void resize(int size)
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{
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ei_assert(size == this->size()
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&& "MatrixBase::resize() does not actually allow to resize.");
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}
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/** Only plain matrices, not expressions may be resized; therefore the only useful resize method is
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* Matrix::resize(). The present method only asserts that the new size equals the old size, and does
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* nothing else.
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*/
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void resize(int rows, int cols)
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{
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ei_assert(rows == this->rows() && cols == this->cols()
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&& "MatrixBase::resize() does not actually allow to resize.");
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}
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#ifndef EIGEN_PARSED_BY_DOXYGEN
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/** \internal the return type of coeff()
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*/
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typedef typename ei_meta_if<_HasDirectAccess, const Scalar&, Scalar>::ret CoeffReturnType;
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/** \internal Represents a matrix with all coefficients equal to one another*/
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typedef CwiseNullaryOp<ei_scalar_constant_op<Scalar>,Derived> ConstantReturnType;
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/** \internal Represents a vector with linearly spaced coefficients that allows sequential access only. */
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typedef CwiseNullaryOp<ei_linspaced_op<Scalar,false>,Derived> SequentialLinSpacedReturnType;
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/** \internal Represents a vector with linearly spaced coefficients that allows random access. */
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typedef CwiseNullaryOp<ei_linspaced_op<Scalar,true>,Derived> RandomAccessLinSpacedReturnType;
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/** \internal the return type of MatrixBase::eigenvalues() */
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typedef Matrix<typename NumTraits<typename ei_traits<Derived>::Scalar>::Real, ei_traits<Derived>::ColsAtCompileTime, 1> EigenvaluesReturnType;
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/** \internal expression type of a column */
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typedef Block<Derived, ei_traits<Derived>::RowsAtCompileTime, 1> ColXpr;
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/** \internal expression type of a column */
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typedef Block<Derived, 1, ei_traits<Derived>::ColsAtCompileTime> RowXpr;
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#endif // not EIGEN_PARSED_BY_DOXYGEN
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/** Copies \a other into *this. \returns a reference to *this. */
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template<typename OtherDerived>
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Derived& operator=(const DenseBase<OtherDerived>& other);
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/** Special case of the template operator=, in order to prevent the compiler
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* from generating a default operator= (issue hit with g++ 4.1)
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*/
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Derived& operator=(const DenseBase& other);
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template<typename OtherDerived>
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Derived& operator=(const EigenBase<OtherDerived> &other);
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template<typename OtherDerived>
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Derived& operator+=(const EigenBase<OtherDerived> &other);
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template<typename OtherDerived>
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Derived& operator-=(const EigenBase<OtherDerived> &other);
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template<typename OtherDerived>
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Derived& operator=(const ReturnByValue<OtherDerived>& func);
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#ifndef EIGEN_PARSED_BY_DOXYGEN
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/** Copies \a other into *this without evaluating other. \returns a reference to *this. */
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template<typename OtherDerived>
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Derived& lazyAssign(const DenseBase<OtherDerived>& other);
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#endif // not EIGEN_PARSED_BY_DOXYGEN
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CommaInitializer<Derived> operator<< (const Scalar& s);
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template<unsigned int Added,unsigned int Removed>
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const Flagged<Derived, Added, Removed> flagged() const;
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template<typename OtherDerived>
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CommaInitializer<Derived> operator<< (const DenseBase<OtherDerived>& other);
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const CoeffReturnType coeff(int row, int col) const;
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const CoeffReturnType operator()(int row, int col) const;
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Scalar& coeffRef(int row, int col);
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Scalar& operator()(int row, int col);
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const CoeffReturnType coeff(int index) const;
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const CoeffReturnType operator[](int index) const;
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const CoeffReturnType operator()(int index) const;
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Scalar& coeffRef(int index);
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Scalar& operator[](int index);
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Scalar& operator()(int index);
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#ifndef EIGEN_PARSED_BY_DOXYGEN
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template<typename OtherDerived>
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void copyCoeff(int row, int col, const DenseBase<OtherDerived>& other);
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template<typename OtherDerived>
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void copyCoeff(int index, const DenseBase<OtherDerived>& other);
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template<typename OtherDerived, int StoreMode, int LoadMode>
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void copyPacket(int row, int col, const DenseBase<OtherDerived>& other);
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template<typename OtherDerived, int StoreMode, int LoadMode>
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void copyPacket(int index, const DenseBase<OtherDerived>& other);
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#endif // not EIGEN_PARSED_BY_DOXYGEN
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template<int LoadMode>
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PacketScalar packet(int row, int col) const;
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template<int StoreMode>
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void writePacket(int row, int col, const PacketScalar& x);
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template<int LoadMode>
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PacketScalar packet(int index) const;
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template<int StoreMode>
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void writePacket(int index, const PacketScalar& x);
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Eigen::Transpose<Derived> transpose();
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const Eigen::Transpose<Derived> transpose() const;
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void transposeInPlace();
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#ifndef EIGEN_NO_DEBUG
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protected:
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template<typename OtherDerived>
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void checkTransposeAliasing(const OtherDerived& other) const;
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public:
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#endif
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RowXpr row(int i);
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const RowXpr row(int i) const;
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ColXpr col(int i);
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const ColXpr col(int i) const;
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typename BlockReturnType<Derived>::Type block(int startRow, int startCol, int blockRows, int blockCols);
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const typename BlockReturnType<Derived>::Type
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block(int startRow, int startCol, int blockRows, int blockCols) const;
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VectorBlock<Derived> segment(int start, int size);
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const VectorBlock<Derived> segment(int start, int size) const;
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VectorBlock<Derived> head(int size);
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const VectorBlock<Derived> head(int size) const;
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VectorBlock<Derived> tail(int size);
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const VectorBlock<Derived> tail(int size) const;
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typename BlockReturnType<Derived>::Type corner(CornerType type, int cRows, int cCols);
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const typename BlockReturnType<Derived>::Type corner(CornerType type, int cRows, int cCols) const;
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template<int BlockRows, int BlockCols>
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typename BlockReturnType<Derived, BlockRows, BlockCols>::Type block(int startRow, int startCol);
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template<int BlockRows, int BlockCols>
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const typename BlockReturnType<Derived, BlockRows, BlockCols>::Type block(int startRow, int startCol) const;
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template<int CRows, int CCols>
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typename BlockReturnType<Derived, CRows, CCols>::Type corner(CornerType type);
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template<int CRows, int CCols>
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const typename BlockReturnType<Derived, CRows, CCols>::Type corner(CornerType type) const;
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template<int Size> VectorBlock<Derived,Size> head(void);
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template<int Size> const VectorBlock<Derived,Size> head() const;
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template<int Size> VectorBlock<Derived,Size> tail();
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template<int Size> const VectorBlock<Derived,Size> tail() const;
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template<int Size> VectorBlock<Derived,Size> segment(int start);
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template<int Size> const VectorBlock<Derived,Size> segment(int start) const;
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Diagonal<Derived,0> diagonal();
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const Diagonal<Derived,0> diagonal() const;
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template<int Index> Diagonal<Derived,Index> diagonal();
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template<int Index> const Diagonal<Derived,Index> diagonal() const;
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Diagonal<Derived, Dynamic> diagonal(int index);
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const Diagonal<Derived, Dynamic> diagonal(int index) const;
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template<unsigned int Mode> TriangularView<Derived, Mode> part();
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template<unsigned int Mode> const TriangularView<Derived, Mode> part() const;
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template<unsigned int Mode> TriangularView<Derived, Mode> triangularView();
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template<unsigned int Mode> const TriangularView<Derived, Mode> triangularView() const;
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template<unsigned int UpLo> SelfAdjointView<Derived, UpLo> selfadjointView();
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template<unsigned int UpLo> const SelfAdjointView<Derived, UpLo> selfadjointView() const;
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static const ConstantReturnType
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Constant(int rows, int cols, const Scalar& value);
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static const ConstantReturnType
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Constant(int size, const Scalar& value);
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static const ConstantReturnType
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Constant(const Scalar& value);
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static const SequentialLinSpacedReturnType
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LinSpaced(Sequential_t, const Scalar& low, const Scalar& high, int size);
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static const RandomAccessLinSpacedReturnType
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LinSpaced(const Scalar& low, const Scalar& high, int size);
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template<typename CustomNullaryOp>
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static const CwiseNullaryOp<CustomNullaryOp, Derived>
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NullaryExpr(int rows, int cols, const CustomNullaryOp& func);
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template<typename CustomNullaryOp>
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static const CwiseNullaryOp<CustomNullaryOp, Derived>
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NullaryExpr(int size, const CustomNullaryOp& func);
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template<typename CustomNullaryOp>
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static const CwiseNullaryOp<CustomNullaryOp, Derived>
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NullaryExpr(const CustomNullaryOp& func);
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static const ConstantReturnType Zero(int rows, int cols);
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static const ConstantReturnType Zero(int size);
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static const ConstantReturnType Zero();
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static const ConstantReturnType Ones(int rows, int cols);
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static const ConstantReturnType Ones(int size);
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static const ConstantReturnType Ones();
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void fill(const Scalar& value);
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Derived& setConstant(const Scalar& value);
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Derived& setLinSpaced(const Scalar& low, const Scalar& high, int size);
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Derived& setZero();
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Derived& setOnes();
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Derived& setRandom();
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template<typename OtherDerived>
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bool isApprox(const DenseBase<OtherDerived>& other,
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RealScalar prec = NumTraits<Scalar>::dummy_precision()) const;
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bool isMuchSmallerThan(const RealScalar& other,
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RealScalar prec = NumTraits<Scalar>::dummy_precision()) const;
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template<typename OtherDerived>
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bool isMuchSmallerThan(const DenseBase<OtherDerived>& other,
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RealScalar prec = NumTraits<Scalar>::dummy_precision()) const;
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bool isApproxToConstant(const Scalar& value, RealScalar prec = NumTraits<Scalar>::dummy_precision()) const;
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bool isConstant(const Scalar& value, RealScalar prec = NumTraits<Scalar>::dummy_precision()) const;
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bool isZero(RealScalar prec = NumTraits<Scalar>::dummy_precision()) const;
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bool isOnes(RealScalar prec = NumTraits<Scalar>::dummy_precision()) const;
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inline Derived& operator*=(const Scalar& other);
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inline Derived& operator/=(const Scalar& other);
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/** \returns the matrix or vector obtained by evaluating this expression.
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*
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* Notice that in the case of a plain matrix or vector (not an expression) this function just returns
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* a const reference, in order to avoid a useless copy.
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*/
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EIGEN_STRONG_INLINE const typename ei_eval<Derived>::type eval() const
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{ return typename ei_eval<Derived>::type(derived()); }
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template<typename OtherDerived>
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void swap(DenseBase<OtherDerived> EIGEN_REF_TO_TEMPORARY other);
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/** \returns number of elements to skip to pass from one row (resp. column) to another
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* for a row-major (resp. column-major) matrix.
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* Combined with coeffRef() and the \ref flags flags, it allows a direct access to the data
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* of the underlying matrix.
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*/
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inline int stride() const { return derived().stride(); }
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inline const NestByValue<Derived> nestByValue() const;
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inline const ForceAlignedAccess<Derived> forceAlignedAccess() const;
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inline ForceAlignedAccess<Derived> forceAlignedAccess();
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template<bool Enable> inline const typename ei_meta_if<Enable,ForceAlignedAccess<Derived>,Derived&>::ret forceAlignedAccessIf() const;
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template<bool Enable> inline typename ei_meta_if<Enable,ForceAlignedAccess<Derived>,Derived&>::ret forceAlignedAccessIf();
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Scalar sum() const;
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Scalar mean() const;
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Scalar trace() const;
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Scalar prod() const;
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typename ei_traits<Derived>::Scalar minCoeff() const;
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typename ei_traits<Derived>::Scalar maxCoeff() const;
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typename ei_traits<Derived>::Scalar minCoeff(int* row, int* col) const;
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typename ei_traits<Derived>::Scalar maxCoeff(int* row, int* col) const;
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typename ei_traits<Derived>::Scalar minCoeff(int* index) const;
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typename ei_traits<Derived>::Scalar maxCoeff(int* index) const;
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template<typename BinaryOp>
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typename ei_result_of<BinaryOp(typename ei_traits<Derived>::Scalar)>::type
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redux(const BinaryOp& func) const;
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template<typename Visitor>
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void visit(Visitor& func) const;
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inline const WithFormat<Derived> format(const IOFormat& fmt) const;
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/////////// Array module ///////////
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bool all(void) const;
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bool any(void) const;
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int count() const;
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const VectorwiseOp<Derived,Horizontal> rowwise() const;
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VectorwiseOp<Derived,Horizontal> rowwise();
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const VectorwiseOp<Derived,Vertical> colwise() const;
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VectorwiseOp<Derived,Vertical> colwise();
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static const CwiseNullaryOp<ei_scalar_random_op<Scalar>,Derived> Random(int rows, int cols);
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static const CwiseNullaryOp<ei_scalar_random_op<Scalar>,Derived> Random(int size);
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static const CwiseNullaryOp<ei_scalar_random_op<Scalar>,Derived> Random();
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template<typename ThenDerived,typename ElseDerived>
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const Select<Derived,ThenDerived,ElseDerived>
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select(const DenseBase<ThenDerived>& thenMatrix,
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const DenseBase<ElseDerived>& elseMatrix) const;
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template<typename ThenDerived>
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inline const Select<Derived,ThenDerived, typename ThenDerived::ConstantReturnType>
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select(const DenseBase<ThenDerived>& thenMatrix, typename ThenDerived::Scalar elseScalar) const;
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template<typename ElseDerived>
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inline const Select<Derived, typename ElseDerived::ConstantReturnType, ElseDerived >
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select(typename ElseDerived::Scalar thenScalar, const DenseBase<ElseDerived>& elseMatrix) const;
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template<int p> RealScalar lpNorm() const;
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template<int RowFactor, int ColFactor>
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const Replicate<Derived,RowFactor,ColFactor> replicate() const;
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const Replicate<Derived,Dynamic,Dynamic> replicate(int rowFacor,int colFactor) const;
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Eigen::Reverse<Derived, BothDirections> reverse();
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const Eigen::Reverse<Derived, BothDirections> reverse() const;
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void reverseInPlace();
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#ifdef EIGEN_DENSEBASE_PLUGIN
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#include EIGEN_DENSEBASE_PLUGIN
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#endif
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// disable the use of evalTo for dense objects with a nice compilation error
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template<typename Dest> inline void evalTo(Dest& dst) const
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{
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EIGEN_STATIC_ASSERT((ei_is_same_type<Dest,void>::ret),THE_EVAL_EVALTO_FUNCTION_SHOULD_NEVER_BE_CALLED_FOR_DENSE_OBJECTS);
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}
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protected:
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/** Default constructor. Do nothing. */
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|
DenseBase()
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{
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/* Just checks for self-consistency of the flags.
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* Only do it when debugging Eigen, as this borders on paranoiac and could slow compilation down
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*/
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#ifdef EIGEN_INTERNAL_DEBUGGING
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EIGEN_STATIC_ASSERT(ei_are_flags_consistent<Flags>::ret,
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INVALID_MATRIXBASE_TEMPLATE_PARAMETERS)
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#endif
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}
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private:
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explicit DenseBase(int);
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DenseBase(int,int);
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template<typename OtherDerived> explicit DenseBase(const DenseBase<OtherDerived>&);
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};
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#endif // EIGEN_DENSEBASE_H
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