Jaesung Oh / Eigen

Eigne Matrix Class Library

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src/Core/VectorwiseOp.h@1:3b8049da21b8, 2019-09-24 (annotated)

Committer:
jsoh91
Date:
Tue Sep 24 00:18:23 2019 +0000
Revision:
1:3b8049da21b8
Parent:
0:13a5d365ba16 
ignore and revise some of error parts

Who changed what in which revision?

UserRevisionLine numberNew contents of line
ykuroda 0:13a5d365ba16 1 // This file is part of Eigen, a lightweight C++ template library
ykuroda 0:13a5d365ba16 2 // for linear algebra.
ykuroda 0:13a5d365ba16 3 //
ykuroda 0:13a5d365ba16 4 // Copyright (C) 2008-2010 Gael Guennebaud <gael.guennebaud@inria.fr>
ykuroda 0:13a5d365ba16 5 // Copyright (C) 2006-2008 Benoit Jacob <jacob.benoit.1@gmail.com>
ykuroda 0:13a5d365ba16 6 //
ykuroda 0:13a5d365ba16 7 // This Source Code Form is subject to the terms of the Mozilla
ykuroda 0:13a5d365ba16 8 // Public License v. 2.0. If a copy of the MPL was not distributed
ykuroda 0:13a5d365ba16 9 // with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
ykuroda 0:13a5d365ba16 10
ykuroda 0:13a5d365ba16 11 #ifndef EIGEN_PARTIAL_REDUX_H
ykuroda 0:13a5d365ba16 12 #define EIGEN_PARTIAL_REDUX_H
ykuroda 0:13a5d365ba16 13
ykuroda 0:13a5d365ba16 14 namespace Eigen {
ykuroda 0:13a5d365ba16 15
ykuroda 0:13a5d365ba16 16 /** \class PartialReduxExpr
ykuroda 0:13a5d365ba16 17 * \ingroup Core_Module
ykuroda 0:13a5d365ba16 18 *
ykuroda 0:13a5d365ba16 19 * \brief Generic expression of a partially reduxed matrix
ykuroda 0:13a5d365ba16 20 *
ykuroda 0:13a5d365ba16 21 * \tparam MatrixType the type of the matrix we are applying the redux operation
ykuroda 0:13a5d365ba16 22 * \tparam MemberOp type of the member functor
ykuroda 0:13a5d365ba16 23 * \tparam Direction indicates the direction of the redux (#Vertical or #Horizontal)
ykuroda 0:13a5d365ba16 24 *
ykuroda 0:13a5d365ba16 25 * This class represents an expression of a partial redux operator of a matrix.
ykuroda 0:13a5d365ba16 26 * It is the return type of some VectorwiseOp functions,
ykuroda 0:13a5d365ba16 27 * and most of the time this is the only way it is used.
ykuroda 0:13a5d365ba16 28 *
ykuroda 0:13a5d365ba16 29 * \sa class VectorwiseOp
ykuroda 0:13a5d365ba16 30 */
ykuroda 0:13a5d365ba16 31
ykuroda 0:13a5d365ba16 32 template< typename MatrixType, typename MemberOp, int Direction>
ykuroda 0:13a5d365ba16 33 class PartialReduxExpr;
ykuroda 0:13a5d365ba16 34
ykuroda 0:13a5d365ba16 35 namespace internal {
ykuroda 0:13a5d365ba16 36 template<typename MatrixType, typename MemberOp, int Direction>
ykuroda 0:13a5d365ba16 37 struct traits<PartialReduxExpr<MatrixType, MemberOp, Direction> >
ykuroda 0:13a5d365ba16 38 : traits<MatrixType>
ykuroda 0:13a5d365ba16 39 {
ykuroda 0:13a5d365ba16 40 typedef typename MemberOp::result_type Scalar;
ykuroda 0:13a5d365ba16 41 typedef typename traits<MatrixType>::StorageKind StorageKind;
ykuroda 0:13a5d365ba16 42 typedef typename traits<MatrixType>::XprKind XprKind;
ykuroda 0:13a5d365ba16 43 typedef typename MatrixType::Scalar InputScalar;
ykuroda 0:13a5d365ba16 44 typedef typename nested<MatrixType>::type MatrixTypeNested;
ykuroda 0:13a5d365ba16 45 typedef typename remove_all<MatrixTypeNested>::type _MatrixTypeNested;
ykuroda 0:13a5d365ba16 46 enum {
ykuroda 0:13a5d365ba16 47 RowsAtCompileTime = Direction==Vertical ? 1 : MatrixType::RowsAtCompileTime,
ykuroda 0:13a5d365ba16 48 ColsAtCompileTime = Direction==Horizontal ? 1 : MatrixType::ColsAtCompileTime,
ykuroda 0:13a5d365ba16 49 MaxRowsAtCompileTime = Direction==Vertical ? 1 : MatrixType::MaxRowsAtCompileTime,
ykuroda 0:13a5d365ba16 50 MaxColsAtCompileTime = Direction==Horizontal ? 1 : MatrixType::MaxColsAtCompileTime,
ykuroda 0:13a5d365ba16 51 Flags0 = (unsigned int)_MatrixTypeNested::Flags & HereditaryBits,
ykuroda 0:13a5d365ba16 52 Flags = (Flags0 & ~RowMajorBit) | (RowsAtCompileTime == 1 ? RowMajorBit : 0),
ykuroda 0:13a5d365ba16 53 TraversalSize = Direction==Vertical ? MatrixType::RowsAtCompileTime : MatrixType::ColsAtCompileTime
ykuroda 0:13a5d365ba16 54 };
ykuroda 0:13a5d365ba16 55 #if EIGEN_GNUC_AT_LEAST(3,4)
ykuroda 0:13a5d365ba16 56 typedef typename MemberOp::template Cost<InputScalar,int(TraversalSize)> CostOpType;
ykuroda 0:13a5d365ba16 57 #else
ykuroda 0:13a5d365ba16 58 typedef typename MemberOp::template Cost<InputScalar,TraversalSize> CostOpType;
ykuroda 0:13a5d365ba16 59 #endif
ykuroda 0:13a5d365ba16 60 enum {
ykuroda 0:13a5d365ba16 61 CoeffReadCost = TraversalSize==Dynamic ? Dynamic
ykuroda 0:13a5d365ba16 62 : TraversalSize * traits<_MatrixTypeNested>::CoeffReadCost + int(CostOpType::value)
ykuroda 0:13a5d365ba16 63 };
ykuroda 0:13a5d365ba16 64 };
ykuroda 0:13a5d365ba16 65 }
ykuroda 0:13a5d365ba16 66
ykuroda 0:13a5d365ba16 67 template< typename MatrixType, typename MemberOp, int Direction>
ykuroda 0:13a5d365ba16 68 class PartialReduxExpr : internal::no_assignment_operator,
ykuroda 0:13a5d365ba16 69 public internal::dense_xpr_base< PartialReduxExpr<MatrixType, MemberOp, Direction> >::type
ykuroda 0:13a5d365ba16 70 {
ykuroda 0:13a5d365ba16 71 public:
ykuroda 0:13a5d365ba16 72
ykuroda 0:13a5d365ba16 73 typedef typename internal::dense_xpr_base<PartialReduxExpr>::type Base;
ykuroda 0:13a5d365ba16 74 EIGEN_DENSE_PUBLIC_INTERFACE(PartialReduxExpr)
ykuroda 0:13a5d365ba16 75 typedef typename internal::traits<PartialReduxExpr>::MatrixTypeNested MatrixTypeNested;
ykuroda 0:13a5d365ba16 76 typedef typename internal::traits<PartialReduxExpr>::_MatrixTypeNested _MatrixTypeNested;
ykuroda 0:13a5d365ba16 77
ykuroda 0:13a5d365ba16 78 PartialReduxExpr(const MatrixType& mat, const MemberOp& func = MemberOp())
ykuroda 0:13a5d365ba16 79 : m_matrix(mat), m_functor(func) {}
ykuroda 0:13a5d365ba16 80
ykuroda 0:13a5d365ba16 81 Index rows() const { return (Direction==Vertical ? 1 : m_matrix.rows()); }
ykuroda 0:13a5d365ba16 82 Index cols() const { return (Direction==Horizontal ? 1 : m_matrix.cols()); }
ykuroda 0:13a5d365ba16 83
ykuroda 0:13a5d365ba16 84 EIGEN_STRONG_INLINE const Scalar coeff(Index i, Index j) const
ykuroda 0:13a5d365ba16 85 {
ykuroda 0:13a5d365ba16 86 if (Direction==Vertical)
ykuroda 0:13a5d365ba16 87 return m_functor(m_matrix.col(j));
ykuroda 0:13a5d365ba16 88 else
ykuroda 0:13a5d365ba16 89 return m_functor(m_matrix.row(i));
ykuroda 0:13a5d365ba16 90 }
ykuroda 0:13a5d365ba16 91
ykuroda 0:13a5d365ba16 92 const Scalar coeff(Index index) const
ykuroda 0:13a5d365ba16 93 {
ykuroda 0:13a5d365ba16 94 if (Direction==Vertical)
ykuroda 0:13a5d365ba16 95 return m_functor(m_matrix.col(index));
ykuroda 0:13a5d365ba16 96 else
ykuroda 0:13a5d365ba16 97 return m_functor(m_matrix.row(index));
ykuroda 0:13a5d365ba16 98 }
ykuroda 0:13a5d365ba16 99
ykuroda 0:13a5d365ba16 100 protected:
ykuroda 0:13a5d365ba16 101 MatrixTypeNested m_matrix;
ykuroda 0:13a5d365ba16 102 const MemberOp m_functor;
ykuroda 0:13a5d365ba16 103 };
ykuroda 0:13a5d365ba16 104
ykuroda 0:13a5d365ba16 105 #define EIGEN_MEMBER_FUNCTOR(MEMBER,COST) \
ykuroda 0:13a5d365ba16 106 template <typename ResultType> \
ykuroda 0:13a5d365ba16 107 struct member_##MEMBER { \
ykuroda 0:13a5d365ba16 108 EIGEN_EMPTY_STRUCT_CTOR(member_##MEMBER) \
ykuroda 0:13a5d365ba16 109 typedef ResultType result_type; \
ykuroda 0:13a5d365ba16 110 template<typename Scalar, int Size> struct Cost \
ykuroda 0:13a5d365ba16 111 { enum { value = COST }; }; \
ykuroda 0:13a5d365ba16 112 template<typename XprType> \
ykuroda 0:13a5d365ba16 113 EIGEN_STRONG_INLINE ResultType operator()(const XprType& mat) const \
ykuroda 0:13a5d365ba16 114 { return mat.MEMBER(); } \
ykuroda 0:13a5d365ba16 115 }
ykuroda 0:13a5d365ba16 116
ykuroda 0:13a5d365ba16 117 namespace internal {
ykuroda 0:13a5d365ba16 118
ykuroda 0:13a5d365ba16 119 EIGEN_MEMBER_FUNCTOR(squaredNorm, Size * NumTraits<Scalar>::MulCost + (Size-1)*NumTraits<Scalar>::AddCost);
ykuroda 0:13a5d365ba16 120 EIGEN_MEMBER_FUNCTOR(norm, (Size+5) * NumTraits<Scalar>::MulCost + (Size-1)*NumTraits<Scalar>::AddCost);
ykuroda 0:13a5d365ba16 121 EIGEN_MEMBER_FUNCTOR(stableNorm, (Size+5) * NumTraits<Scalar>::MulCost + (Size-1)*NumTraits<Scalar>::AddCost);
ykuroda 0:13a5d365ba16 122 EIGEN_MEMBER_FUNCTOR(blueNorm, (Size+5) * NumTraits<Scalar>::MulCost + (Size-1)*NumTraits<Scalar>::AddCost);
ykuroda 0:13a5d365ba16 123 EIGEN_MEMBER_FUNCTOR(hypotNorm, (Size-1) * functor_traits<scalar_hypot_op<Scalar> >::Cost );
ykuroda 0:13a5d365ba16 124 EIGEN_MEMBER_FUNCTOR(sum, (Size-1)*NumTraits<Scalar>::AddCost);
ykuroda 0:13a5d365ba16 125 EIGEN_MEMBER_FUNCTOR(mean, (Size-1)*NumTraits<Scalar>::AddCost + NumTraits<Scalar>::MulCost);
ykuroda 0:13a5d365ba16 126 EIGEN_MEMBER_FUNCTOR(minCoeff, (Size-1)*NumTraits<Scalar>::AddCost);
ykuroda 0:13a5d365ba16 127 EIGEN_MEMBER_FUNCTOR(maxCoeff, (Size-1)*NumTraits<Scalar>::AddCost);
ykuroda 0:13a5d365ba16 128 EIGEN_MEMBER_FUNCTOR(all, (Size-1)*NumTraits<Scalar>::AddCost);
ykuroda 0:13a5d365ba16 129 EIGEN_MEMBER_FUNCTOR(any, (Size-1)*NumTraits<Scalar>::AddCost);
ykuroda 0:13a5d365ba16 130 EIGEN_MEMBER_FUNCTOR(count, (Size-1)*NumTraits<Scalar>::AddCost);
ykuroda 0:13a5d365ba16 131 EIGEN_MEMBER_FUNCTOR(prod, (Size-1)*NumTraits<Scalar>::MulCost);
ykuroda 0:13a5d365ba16 132
ykuroda 0:13a5d365ba16 133
ykuroda 0:13a5d365ba16 134 template <typename BinaryOp, typename Scalar>
ykuroda 0:13a5d365ba16 135 struct member_redux {
ykuroda 0:13a5d365ba16 136 typedef typename result_of<
ykuroda 0:13a5d365ba16 137 BinaryOp(Scalar)
ykuroda 0:13a5d365ba16 138 >::type result_type;
ykuroda 0:13a5d365ba16 139 template<typename _Scalar, int Size> struct Cost
ykuroda 0:13a5d365ba16 140 { enum { value = (Size-1) * functor_traits<BinaryOp>::Cost }; };
ykuroda 0:13a5d365ba16 141 member_redux(const BinaryOp func) : m_functor(func) {}
ykuroda 0:13a5d365ba16 142 template<typename Derived>
ykuroda 0:13a5d365ba16 143 inline result_type operator()(const DenseBase<Derived>& mat) const
ykuroda 0:13a5d365ba16 144 { return mat.redux(m_functor); }
ykuroda 0:13a5d365ba16 145 const BinaryOp m_functor;
ykuroda 0:13a5d365ba16 146 };
ykuroda 0:13a5d365ba16 147 }
ykuroda 0:13a5d365ba16 148
ykuroda 0:13a5d365ba16 149 /** \class VectorwiseOp
ykuroda 0:13a5d365ba16 150 * \ingroup Core_Module
ykuroda 0:13a5d365ba16 151 *
ykuroda 0:13a5d365ba16 152 * \brief Pseudo expression providing partial reduction operations
ykuroda 0:13a5d365ba16 153 *
ykuroda 0:13a5d365ba16 154 * \param ExpressionType the type of the object on which to do partial reductions
ykuroda 0:13a5d365ba16 155 * \param Direction indicates the direction of the redux (#Vertical or #Horizontal)
ykuroda 0:13a5d365ba16 156 *
ykuroda 0:13a5d365ba16 157 * This class represents a pseudo expression with partial reduction features.
ykuroda 0:13a5d365ba16 158 * It is the return type of DenseBase::colwise() and DenseBase::rowwise()
ykuroda 0:13a5d365ba16 159 * and most of the time this is the only way it is used.
ykuroda 0:13a5d365ba16 160 *
ykuroda 0:13a5d365ba16 161 * Example: \include MatrixBase_colwise.cpp
ykuroda 0:13a5d365ba16 162 * Output: \verbinclude MatrixBase_colwise.out
ykuroda 0:13a5d365ba16 163 *
ykuroda 0:13a5d365ba16 164 * \sa DenseBase::colwise(), DenseBase::rowwise(), class PartialReduxExpr
ykuroda 0:13a5d365ba16 165 */
ykuroda 0:13a5d365ba16 166 template<typename ExpressionType, int Direction> class VectorwiseOp
ykuroda 0:13a5d365ba16 167 {
ykuroda 0:13a5d365ba16 168 public:
ykuroda 0:13a5d365ba16 169
ykuroda 0:13a5d365ba16 170 typedef typename ExpressionType::Scalar Scalar;
ykuroda 0:13a5d365ba16 171 typedef typename ExpressionType::RealScalar RealScalar;
ykuroda 0:13a5d365ba16 172 typedef typename ExpressionType::Index Index;
ykuroda 0:13a5d365ba16 173 typedef typename internal::conditional<internal::must_nest_by_value<ExpressionType>::ret,
ykuroda 0:13a5d365ba16 174 ExpressionType, ExpressionType&>::type ExpressionTypeNested;
ykuroda 0:13a5d365ba16 175 typedef typename internal::remove_all<ExpressionTypeNested>::type ExpressionTypeNestedCleaned;
ykuroda 0:13a5d365ba16 176
ykuroda 0:13a5d365ba16 177 template<template<typename _Scalar> class Functor,
ykuroda 0:13a5d365ba16 178 typename Scalar=typename internal::traits<ExpressionType>::Scalar> struct ReturnType
ykuroda 0:13a5d365ba16 179 {
ykuroda 0:13a5d365ba16 180 typedef PartialReduxExpr<ExpressionType,
ykuroda 0:13a5d365ba16 181 Functor<Scalar>,
ykuroda 0:13a5d365ba16 182 Direction
ykuroda 0:13a5d365ba16 183 > Type;
ykuroda 0:13a5d365ba16 184 };
ykuroda 0:13a5d365ba16 185
ykuroda 0:13a5d365ba16 186 template<typename BinaryOp> struct ReduxReturnType
ykuroda 0:13a5d365ba16 187 {
ykuroda 0:13a5d365ba16 188 typedef PartialReduxExpr<ExpressionType,
ykuroda 0:13a5d365ba16 189 internal::member_redux<BinaryOp,typename internal::traits<ExpressionType>::Scalar>,
ykuroda 0:13a5d365ba16 190 Direction
ykuroda 0:13a5d365ba16 191 > Type;
ykuroda 0:13a5d365ba16 192 };
ykuroda 0:13a5d365ba16 193
ykuroda 0:13a5d365ba16 194 enum {
ykuroda 0:13a5d365ba16 195 IsVertical = (Direction==Vertical) ? 1 : 0,
ykuroda 0:13a5d365ba16 196 IsHorizontal = (Direction==Horizontal) ? 1 : 0
ykuroda 0:13a5d365ba16 197 };
ykuroda 0:13a5d365ba16 198
ykuroda 0:13a5d365ba16 199 protected:
ykuroda 0:13a5d365ba16 200
ykuroda 0:13a5d365ba16 201 /** \internal
ykuroda 0:13a5d365ba16 202 * \returns the i-th subvector according to the \c Direction */
ykuroda 0:13a5d365ba16 203 typedef typename internal::conditional<Direction==Vertical,
ykuroda 0:13a5d365ba16 204 typename ExpressionType::ColXpr,
ykuroda 0:13a5d365ba16 205 typename ExpressionType::RowXpr>::type SubVector;
ykuroda 0:13a5d365ba16 206 SubVector subVector(Index i)
ykuroda 0:13a5d365ba16 207 {
ykuroda 0:13a5d365ba16 208 return SubVector(m_matrix.derived(),i);
ykuroda 0:13a5d365ba16 209 }
ykuroda 0:13a5d365ba16 210
ykuroda 0:13a5d365ba16 211 /** \internal
ykuroda 0:13a5d365ba16 212 * \returns the number of subvectors in the direction \c Direction */
ykuroda 0:13a5d365ba16 213 Index subVectors() const
ykuroda 0:13a5d365ba16 214 { return Direction==Vertical?m_matrix.cols():m_matrix.rows(); }
ykuroda 0:13a5d365ba16 215
ykuroda 0:13a5d365ba16 216 template<typename OtherDerived> struct ExtendedType {
ykuroda 0:13a5d365ba16 217 typedef Replicate<OtherDerived,
ykuroda 0:13a5d365ba16 218 Direction==Vertical ? 1 : ExpressionType::RowsAtCompileTime,
ykuroda 0:13a5d365ba16 219 Direction==Horizontal ? 1 : ExpressionType::ColsAtCompileTime> Type;
ykuroda 0:13a5d365ba16 220 };
ykuroda 0:13a5d365ba16 221
ykuroda 0:13a5d365ba16 222 /** \internal
ykuroda 0:13a5d365ba16 223 * Replicates a vector to match the size of \c *this */
ykuroda 0:13a5d365ba16 224 template<typename OtherDerived>
ykuroda 0:13a5d365ba16 225 typename ExtendedType<OtherDerived>::Type
ykuroda 0:13a5d365ba16 226 extendedTo(const DenseBase<OtherDerived>& other) const
ykuroda 0:13a5d365ba16 227 {
ykuroda 0:13a5d365ba16 228 EIGEN_STATIC_ASSERT(EIGEN_IMPLIES(Direction==Vertical, OtherDerived::MaxColsAtCompileTime==1),
ykuroda 0:13a5d365ba16 229 YOU_PASSED_A_ROW_VECTOR_BUT_A_COLUMN_VECTOR_WAS_EXPECTED)
ykuroda 0:13a5d365ba16 230 EIGEN_STATIC_ASSERT(EIGEN_IMPLIES(Direction==Horizontal, OtherDerived::MaxRowsAtCompileTime==1),
ykuroda 0:13a5d365ba16 231 YOU_PASSED_A_COLUMN_VECTOR_BUT_A_ROW_VECTOR_WAS_EXPECTED)
ykuroda 0:13a5d365ba16 232 return typename ExtendedType<OtherDerived>::Type
ykuroda 0:13a5d365ba16 233 (other.derived(),
ykuroda 0:13a5d365ba16 234 Direction==Vertical ? 1 : m_matrix.rows(),
ykuroda 0:13a5d365ba16 235 Direction==Horizontal ? 1 : m_matrix.cols());
ykuroda 0:13a5d365ba16 236 }
ykuroda 0:13a5d365ba16 237
ykuroda 0:13a5d365ba16 238 template<typename OtherDerived> struct OppositeExtendedType {
ykuroda 0:13a5d365ba16 239 typedef Replicate<OtherDerived,
ykuroda 0:13a5d365ba16 240 Direction==Horizontal ? 1 : ExpressionType::RowsAtCompileTime,
ykuroda 0:13a5d365ba16 241 Direction==Vertical ? 1 : ExpressionType::ColsAtCompileTime> Type;
ykuroda 0:13a5d365ba16 242 };
ykuroda 0:13a5d365ba16 243
ykuroda 0:13a5d365ba16 244 /** \internal
ykuroda 0:13a5d365ba16 245 * Replicates a vector in the opposite direction to match the size of \c *this */
ykuroda 0:13a5d365ba16 246 template<typename OtherDerived>
ykuroda 0:13a5d365ba16 247 typename OppositeExtendedType<OtherDerived>::Type
ykuroda 0:13a5d365ba16 248 extendedToOpposite(const DenseBase<OtherDerived>& other) const
ykuroda 0:13a5d365ba16 249 {
ykuroda 0:13a5d365ba16 250 EIGEN_STATIC_ASSERT(EIGEN_IMPLIES(Direction==Horizontal, OtherDerived::MaxColsAtCompileTime==1),
ykuroda 0:13a5d365ba16 251 YOU_PASSED_A_ROW_VECTOR_BUT_A_COLUMN_VECTOR_WAS_EXPECTED)
ykuroda 0:13a5d365ba16 252 EIGEN_STATIC_ASSERT(EIGEN_IMPLIES(Direction==Vertical, OtherDerived::MaxRowsAtCompileTime==1),
ykuroda 0:13a5d365ba16 253 YOU_PASSED_A_COLUMN_VECTOR_BUT_A_ROW_VECTOR_WAS_EXPECTED)
ykuroda 0:13a5d365ba16 254 return typename OppositeExtendedType<OtherDerived>::Type
ykuroda 0:13a5d365ba16 255 (other.derived(),
ykuroda 0:13a5d365ba16 256 Direction==Horizontal ? 1 : m_matrix.rows(),
ykuroda 0:13a5d365ba16 257 Direction==Vertical ? 1 : m_matrix.cols());
ykuroda 0:13a5d365ba16 258 }
ykuroda 0:13a5d365ba16 259
ykuroda 0:13a5d365ba16 260 public:
ykuroda 0:13a5d365ba16 261
ykuroda 0:13a5d365ba16 262 inline VectorwiseOp(ExpressionType& matrix) : m_matrix(matrix) {}
ykuroda 0:13a5d365ba16 263
ykuroda 0:13a5d365ba16 264 /** \internal */
ykuroda 0:13a5d365ba16 265 inline const ExpressionType& _expression() const { return m_matrix; }
ykuroda 0:13a5d365ba16 266
ykuroda 0:13a5d365ba16 267 /** \returns a row or column vector expression of \c *this reduxed by \a func
ykuroda 0:13a5d365ba16 268 *
ykuroda 0:13a5d365ba16 269 * The template parameter \a BinaryOp is the type of the functor
ykuroda 0:13a5d365ba16 270 * of the custom redux operator. Note that func must be an associative operator.
ykuroda 0:13a5d365ba16 271 *
ykuroda 0:13a5d365ba16 272 * \sa class VectorwiseOp, DenseBase::colwise(), DenseBase::rowwise()
ykuroda 0:13a5d365ba16 273 */
ykuroda 0:13a5d365ba16 274 template<typename BinaryOp>
ykuroda 0:13a5d365ba16 275 const typename ReduxReturnType<BinaryOp>::Type
ykuroda 0:13a5d365ba16 276 redux(const BinaryOp& func = BinaryOp()) const
ykuroda 0:13a5d365ba16 277 { return typename ReduxReturnType<BinaryOp>::Type(_expression(), func); }
ykuroda 0:13a5d365ba16 278
ykuroda 0:13a5d365ba16 279 /** \returns a row (or column) vector expression of the smallest coefficient
ykuroda 0:13a5d365ba16 280 * of each column (or row) of the referenced expression.
ykuroda 0:13a5d365ba16 281 *
ykuroda 0:13a5d365ba16 282 * \warning the result is undefined if \c *this contains NaN.
ykuroda 0:13a5d365ba16 283 *
ykuroda 0:13a5d365ba16 284 * Example: \include PartialRedux_minCoeff.cpp
ykuroda 0:13a5d365ba16 285 * Output: \verbinclude PartialRedux_minCoeff.out
ykuroda 0:13a5d365ba16 286 *
ykuroda 0:13a5d365ba16 287 * \sa DenseBase::minCoeff() */
ykuroda 0:13a5d365ba16 288 const typename ReturnType<internal::member_minCoeff>::Type minCoeff() const
ykuroda 0:13a5d365ba16 289 { return _expression(); }
ykuroda 0:13a5d365ba16 290
ykuroda 0:13a5d365ba16 291 /** \returns a row (or column) vector expression of the largest coefficient
ykuroda 0:13a5d365ba16 292 * of each column (or row) of the referenced expression.
ykuroda 0:13a5d365ba16 293 *
ykuroda 0:13a5d365ba16 294 * \warning the result is undefined if \c *this contains NaN.
ykuroda 0:13a5d365ba16 295 *
ykuroda 0:13a5d365ba16 296 * Example: \include PartialRedux_maxCoeff.cpp
ykuroda 0:13a5d365ba16 297 * Output: \verbinclude PartialRedux_maxCoeff.out
ykuroda 0:13a5d365ba16 298 *
ykuroda 0:13a5d365ba16 299 * \sa DenseBase::maxCoeff() */
ykuroda 0:13a5d365ba16 300 const typename ReturnType<internal::member_maxCoeff>::Type maxCoeff() const
ykuroda 0:13a5d365ba16 301 { return _expression(); }
ykuroda 0:13a5d365ba16 302
ykuroda 0:13a5d365ba16 303 /** \returns a row (or column) vector expression of the squared norm
ykuroda 0:13a5d365ba16 304 * of each column (or row) of the referenced expression.
ykuroda 0:13a5d365ba16 305 *
ykuroda 0:13a5d365ba16 306 * Example: \include PartialRedux_squaredNorm.cpp
ykuroda 0:13a5d365ba16 307 * Output: \verbinclude PartialRedux_squaredNorm.out
ykuroda 0:13a5d365ba16 308 *
ykuroda 0:13a5d365ba16 309 * \sa DenseBase::squaredNorm() */
ykuroda 0:13a5d365ba16 310 const typename ReturnType<internal::member_squaredNorm,RealScalar>::Type squaredNorm() const
ykuroda 0:13a5d365ba16 311 { return _expression(); }
ykuroda 0:13a5d365ba16 312
ykuroda 0:13a5d365ba16 313 /** \returns a row (or column) vector expression of the norm
ykuroda 0:13a5d365ba16 314 * of each column (or row) of the referenced expression.
ykuroda 0:13a5d365ba16 315 *
ykuroda 0:13a5d365ba16 316 * Example: \include PartialRedux_norm.cpp
ykuroda 0:13a5d365ba16 317 * Output: \verbinclude PartialRedux_norm.out
ykuroda 0:13a5d365ba16 318 *
ykuroda 0:13a5d365ba16 319 * \sa DenseBase::norm() */
ykuroda 0:13a5d365ba16 320 const typename ReturnType<internal::member_norm,RealScalar>::Type norm() const
ykuroda 0:13a5d365ba16 321 { return _expression(); }
ykuroda 0:13a5d365ba16 322
ykuroda 0:13a5d365ba16 323
ykuroda 0:13a5d365ba16 324 /** \returns a row (or column) vector expression of the norm
ykuroda 0:13a5d365ba16 325 * of each column (or row) of the referenced expression, using
ykuroda 0:13a5d365ba16 326 * blue's algorithm.
ykuroda 0:13a5d365ba16 327 *
ykuroda 0:13a5d365ba16 328 * \sa DenseBase::blueNorm() */
ykuroda 0:13a5d365ba16 329 const typename ReturnType<internal::member_blueNorm,RealScalar>::Type blueNorm() const
ykuroda 0:13a5d365ba16 330 { return _expression(); }
ykuroda 0:13a5d365ba16 331
ykuroda 0:13a5d365ba16 332
ykuroda 0:13a5d365ba16 333 /** \returns a row (or column) vector expression of the norm
ykuroda 0:13a5d365ba16 334 * of each column (or row) of the referenced expression, avoiding
ykuroda 0:13a5d365ba16 335 * underflow and overflow.
ykuroda 0:13a5d365ba16 336 *
ykuroda 0:13a5d365ba16 337 * \sa DenseBase::stableNorm() */
ykuroda 0:13a5d365ba16 338 const typename ReturnType<internal::member_stableNorm,RealScalar>::Type stableNorm() const
ykuroda 0:13a5d365ba16 339 { return _expression(); }
ykuroda 0:13a5d365ba16 340
ykuroda 0:13a5d365ba16 341
ykuroda 0:13a5d365ba16 342 /** \returns a row (or column) vector expression of the norm
ykuroda 0:13a5d365ba16 343 * of each column (or row) of the referenced expression, avoiding
ykuroda 0:13a5d365ba16 344 * underflow and overflow using a concatenation of hypot() calls.
ykuroda 0:13a5d365ba16 345 *
ykuroda 0:13a5d365ba16 346 * \sa DenseBase::hypotNorm() */
ykuroda 0:13a5d365ba16 347 const typename ReturnType<internal::member_hypotNorm,RealScalar>::Type hypotNorm() const
ykuroda 0:13a5d365ba16 348 { return _expression(); }
ykuroda 0:13a5d365ba16 349
ykuroda 0:13a5d365ba16 350 /** \returns a row (or column) vector expression of the sum
ykuroda 0:13a5d365ba16 351 * of each column (or row) of the referenced expression.
ykuroda 0:13a5d365ba16 352 *
ykuroda 0:13a5d365ba16 353 * Example: \include PartialRedux_sum.cpp
ykuroda 0:13a5d365ba16 354 * Output: \verbinclude PartialRedux_sum.out
ykuroda 0:13a5d365ba16 355 *
ykuroda 0:13a5d365ba16 356 * \sa DenseBase::sum() */
ykuroda 0:13a5d365ba16 357 const typename ReturnType<internal::member_sum>::Type sum() const
ykuroda 0:13a5d365ba16 358 { return _expression(); }
ykuroda 0:13a5d365ba16 359
ykuroda 0:13a5d365ba16 360 /** \returns a row (or column) vector expression of the mean
ykuroda 0:13a5d365ba16 361 * of each column (or row) of the referenced expression.
ykuroda 0:13a5d365ba16 362 *
ykuroda 0:13a5d365ba16 363 * \sa DenseBase::mean() */
ykuroda 0:13a5d365ba16 364 const typename ReturnType<internal::member_mean>::Type mean() const
ykuroda 0:13a5d365ba16 365 { return _expression(); }
ykuroda 0:13a5d365ba16 366
ykuroda 0:13a5d365ba16 367 /** \returns a row (or column) vector expression representing
ykuroda 0:13a5d365ba16 368 * whether \b all coefficients of each respective column (or row) are \c true.
ykuroda 0:13a5d365ba16 369 *
ykuroda 0:13a5d365ba16 370 * \sa DenseBase::all() */
ykuroda 0:13a5d365ba16 371 const typename ReturnType<internal::member_all>::Type all() const
ykuroda 0:13a5d365ba16 372 { return _expression(); }
ykuroda 0:13a5d365ba16 373
ykuroda 0:13a5d365ba16 374 /** \returns a row (or column) vector expression representing
ykuroda 0:13a5d365ba16 375 * whether \b at \b least one coefficient of each respective column (or row) is \c true.
ykuroda 0:13a5d365ba16 376 *
ykuroda 0:13a5d365ba16 377 * \sa DenseBase::any() */
ykuroda 0:13a5d365ba16 378 const typename ReturnType<internal::member_any>::Type any() const
ykuroda 0:13a5d365ba16 379 { return _expression(); }
ykuroda 0:13a5d365ba16 380
ykuroda 0:13a5d365ba16 381 /** \returns a row (or column) vector expression representing
ykuroda 0:13a5d365ba16 382 * the number of \c true coefficients of each respective column (or row).
ykuroda 0:13a5d365ba16 383 *
ykuroda 0:13a5d365ba16 384 * Example: \include PartialRedux_count.cpp
ykuroda 0:13a5d365ba16 385 * Output: \verbinclude PartialRedux_count.out
ykuroda 0:13a5d365ba16 386 *
ykuroda 0:13a5d365ba16 387 * \sa DenseBase::count() */
ykuroda 0:13a5d365ba16 388 const PartialReduxExpr<ExpressionType, internal::member_count<Index>, Direction> count() const
ykuroda 0:13a5d365ba16 389 { return _expression(); }
ykuroda 0:13a5d365ba16 390
ykuroda 0:13a5d365ba16 391 /** \returns a row (or column) vector expression of the product
ykuroda 0:13a5d365ba16 392 * of each column (or row) of the referenced expression.
ykuroda 0:13a5d365ba16 393 *
ykuroda 0:13a5d365ba16 394 * Example: \include PartialRedux_prod.cpp
ykuroda 0:13a5d365ba16 395 * Output: \verbinclude PartialRedux_prod.out
ykuroda 0:13a5d365ba16 396 *
ykuroda 0:13a5d365ba16 397 * \sa DenseBase::prod() */
ykuroda 0:13a5d365ba16 398 const typename ReturnType<internal::member_prod>::Type prod() const
ykuroda 0:13a5d365ba16 399 { return _expression(); }
ykuroda 0:13a5d365ba16 400
ykuroda 0:13a5d365ba16 401
ykuroda 0:13a5d365ba16 402 /** \returns a matrix expression
ykuroda 0:13a5d365ba16 403 * where each column (or row) are reversed.
ykuroda 0:13a5d365ba16 404 *
ykuroda 0:13a5d365ba16 405 * Example: \include Vectorwise_reverse.cpp
ykuroda 0:13a5d365ba16 406 * Output: \verbinclude Vectorwise_reverse.out
ykuroda 0:13a5d365ba16 407 *
ykuroda 0:13a5d365ba16 408 * \sa DenseBase::reverse() */
ykuroda 0:13a5d365ba16 409 const Reverse<ExpressionType, Direction> reverse() const
ykuroda 0:13a5d365ba16 410 { return Reverse<ExpressionType, Direction>( _expression() ); }
ykuroda 0:13a5d365ba16 411
ykuroda 0:13a5d365ba16 412 typedef Replicate<ExpressionType,Direction==Vertical?Dynamic:1,Direction==Horizontal?Dynamic:1> ReplicateReturnType;
ykuroda 0:13a5d365ba16 413 const ReplicateReturnType replicate(Index factor) const;
ykuroda 0:13a5d365ba16 414
ykuroda 0:13a5d365ba16 415 /**
ykuroda 0:13a5d365ba16 416 * \return an expression of the replication of each column (or row) of \c *this
ykuroda 0:13a5d365ba16 417 *
ykuroda 0:13a5d365ba16 418 * Example: \include DirectionWise_replicate.cpp
ykuroda 0:13a5d365ba16 419 * Output: \verbinclude DirectionWise_replicate.out
ykuroda 0:13a5d365ba16 420 *
ykuroda 0:13a5d365ba16 421 * \sa VectorwiseOp::replicate(Index), DenseBase::replicate(), class Replicate
ykuroda 0:13a5d365ba16 422 */
ykuroda 0:13a5d365ba16 423 // NOTE implemented here because of sunstudio's compilation errors
ykuroda 0:13a5d365ba16 424 template<int Factor> const Replicate<ExpressionType,(IsVertical?Factor:1),(IsHorizontal?Factor:1)>
ykuroda 0:13a5d365ba16 425 replicate(Index factor = Factor) const
ykuroda 0:13a5d365ba16 426 {
ykuroda 0:13a5d365ba16 427 return Replicate<ExpressionType,Direction==Vertical?Factor:1,Direction==Horizontal?Factor:1>
ykuroda 0:13a5d365ba16 428 (_expression(),Direction==Vertical?factor:1,Direction==Horizontal?factor:1);
ykuroda 0:13a5d365ba16 429 }
ykuroda 0:13a5d365ba16 430
ykuroda 0:13a5d365ba16 431 /////////// Artithmetic operators ///////////
ykuroda 0:13a5d365ba16 432
ykuroda 0:13a5d365ba16 433 /** Copies the vector \a other to each subvector of \c *this */
ykuroda 0:13a5d365ba16 434 template<typename OtherDerived>
ykuroda 0:13a5d365ba16 435 ExpressionType& operator=(const DenseBase<OtherDerived>& other)
ykuroda 0:13a5d365ba16 436 {
ykuroda 0:13a5d365ba16 437 EIGEN_STATIC_ASSERT_VECTOR_ONLY(OtherDerived)
ykuroda 0:13a5d365ba16 438 EIGEN_STATIC_ASSERT_SAME_XPR_KIND(ExpressionType, OtherDerived)
ykuroda 0:13a5d365ba16 439 //eigen_assert((m_matrix.isNull()) == (other.isNull())); FIXME
ykuroda 0:13a5d365ba16 440 return const_cast<ExpressionType&>(m_matrix = extendedTo(other.derived()));
ykuroda 0:13a5d365ba16 441 }
ykuroda 0:13a5d365ba16 442
ykuroda 0:13a5d365ba16 443 /** Adds the vector \a other to each subvector of \c *this */
ykuroda 0:13a5d365ba16 444 template<typename OtherDerived>
ykuroda 0:13a5d365ba16 445 ExpressionType& operator+=(const DenseBase<OtherDerived>& other)
ykuroda 0:13a5d365ba16 446 {
ykuroda 0:13a5d365ba16 447 EIGEN_STATIC_ASSERT_VECTOR_ONLY(OtherDerived)
ykuroda 0:13a5d365ba16 448 EIGEN_STATIC_ASSERT_SAME_XPR_KIND(ExpressionType, OtherDerived)
ykuroda 0:13a5d365ba16 449 return const_cast<ExpressionType&>(m_matrix += extendedTo(other.derived()));
ykuroda 0:13a5d365ba16 450 }
ykuroda 0:13a5d365ba16 451
ykuroda 0:13a5d365ba16 452 /** Substracts the vector \a other to each subvector of \c *this */
ykuroda 0:13a5d365ba16 453 template<typename OtherDerived>
ykuroda 0:13a5d365ba16 454 ExpressionType& operator-=(const DenseBase<OtherDerived>& other)
ykuroda 0:13a5d365ba16 455 {
ykuroda 0:13a5d365ba16 456 EIGEN_STATIC_ASSERT_VECTOR_ONLY(OtherDerived)
ykuroda 0:13a5d365ba16 457 EIGEN_STATIC_ASSERT_SAME_XPR_KIND(ExpressionType, OtherDerived)
ykuroda 0:13a5d365ba16 458 return const_cast<ExpressionType&>(m_matrix -= extendedTo(other.derived()));
ykuroda 0:13a5d365ba16 459 }
ykuroda 0:13a5d365ba16 460
ykuroda 0:13a5d365ba16 461 /** Multiples each subvector of \c *this by the vector \a other */
ykuroda 0:13a5d365ba16 462 template<typename OtherDerived>
ykuroda 0:13a5d365ba16 463 ExpressionType& operator*=(const DenseBase<OtherDerived>& other)
ykuroda 0:13a5d365ba16 464 {
ykuroda 0:13a5d365ba16 465 EIGEN_STATIC_ASSERT_VECTOR_ONLY(OtherDerived)
ykuroda 0:13a5d365ba16 466 EIGEN_STATIC_ASSERT_ARRAYXPR(ExpressionType)
ykuroda 0:13a5d365ba16 467 EIGEN_STATIC_ASSERT_SAME_XPR_KIND(ExpressionType, OtherDerived)
ykuroda 0:13a5d365ba16 468 m_matrix *= extendedTo(other.derived());
ykuroda 0:13a5d365ba16 469 return const_cast<ExpressionType&>(m_matrix);
ykuroda 0:13a5d365ba16 470 }
ykuroda 0:13a5d365ba16 471
ykuroda 0:13a5d365ba16 472 /** Divides each subvector of \c *this by the vector \a other */
ykuroda 0:13a5d365ba16 473 template<typename OtherDerived>
ykuroda 0:13a5d365ba16 474 ExpressionType& operator/=(const DenseBase<OtherDerived>& other)
ykuroda 0:13a5d365ba16 475 {
ykuroda 0:13a5d365ba16 476 EIGEN_STATIC_ASSERT_VECTOR_ONLY(OtherDerived)
ykuroda 0:13a5d365ba16 477 EIGEN_STATIC_ASSERT_ARRAYXPR(ExpressionType)
ykuroda 0:13a5d365ba16 478 EIGEN_STATIC_ASSERT_SAME_XPR_KIND(ExpressionType, OtherDerived)
ykuroda 0:13a5d365ba16 479 m_matrix /= extendedTo(other.derived());
ykuroda 0:13a5d365ba16 480 return const_cast<ExpressionType&>(m_matrix);
ykuroda 0:13a5d365ba16 481 }
ykuroda 0:13a5d365ba16 482
ykuroda 0:13a5d365ba16 483 /** Returns the expression of the sum of the vector \a other to each subvector of \c *this */
ykuroda 0:13a5d365ba16 484 template<typename OtherDerived> EIGEN_STRONG_INLINE
ykuroda 0:13a5d365ba16 485 CwiseBinaryOp<internal::scalar_sum_op<Scalar>,
ykuroda 0:13a5d365ba16 486 const ExpressionTypeNestedCleaned,
ykuroda 0:13a5d365ba16 487 const typename ExtendedType<OtherDerived>::Type>
ykuroda 0:13a5d365ba16 488 operator+(const DenseBase<OtherDerived>& other) const
ykuroda 0:13a5d365ba16 489 {
ykuroda 0:13a5d365ba16 490 EIGEN_STATIC_ASSERT_VECTOR_ONLY(OtherDerived)
ykuroda 0:13a5d365ba16 491 EIGEN_STATIC_ASSERT_SAME_XPR_KIND(ExpressionType, OtherDerived)
ykuroda 0:13a5d365ba16 492 return m_matrix + extendedTo(other.derived());
ykuroda 0:13a5d365ba16 493 }
ykuroda 0:13a5d365ba16 494
ykuroda 0:13a5d365ba16 495 /** Returns the expression of the difference between each subvector of \c *this and the vector \a other */
ykuroda 0:13a5d365ba16 496 template<typename OtherDerived>
ykuroda 0:13a5d365ba16 497 CwiseBinaryOp<internal::scalar_difference_op<Scalar>,
ykuroda 0:13a5d365ba16 498 const ExpressionTypeNestedCleaned,
ykuroda 0:13a5d365ba16 499 const typename ExtendedType<OtherDerived>::Type>
ykuroda 0:13a5d365ba16 500 operator-(const DenseBase<OtherDerived>& other) const
ykuroda 0:13a5d365ba16 501 {
ykuroda 0:13a5d365ba16 502 EIGEN_STATIC_ASSERT_VECTOR_ONLY(OtherDerived)
ykuroda 0:13a5d365ba16 503 EIGEN_STATIC_ASSERT_SAME_XPR_KIND(ExpressionType, OtherDerived)
ykuroda 0:13a5d365ba16 504 return m_matrix - extendedTo(other.derived());
ykuroda 0:13a5d365ba16 505 }
ykuroda 0:13a5d365ba16 506
ykuroda 0:13a5d365ba16 507 /** Returns the expression where each subvector is the product of the vector \a other
ykuroda 0:13a5d365ba16 508 * by the corresponding subvector of \c *this */
ykuroda 0:13a5d365ba16 509 template<typename OtherDerived> EIGEN_STRONG_INLINE
ykuroda 0:13a5d365ba16 510 CwiseBinaryOp<internal::scalar_product_op<Scalar>,
ykuroda 0:13a5d365ba16 511 const ExpressionTypeNestedCleaned,
ykuroda 0:13a5d365ba16 512 const typename ExtendedType<OtherDerived>::Type>
ykuroda 0:13a5d365ba16 513 operator*(const DenseBase<OtherDerived>& other) const
ykuroda 0:13a5d365ba16 514 {
ykuroda 0:13a5d365ba16 515 EIGEN_STATIC_ASSERT_VECTOR_ONLY(OtherDerived)
ykuroda 0:13a5d365ba16 516 EIGEN_STATIC_ASSERT_ARRAYXPR(ExpressionType)
ykuroda 0:13a5d365ba16 517 EIGEN_STATIC_ASSERT_SAME_XPR_KIND(ExpressionType, OtherDerived)
ykuroda 0:13a5d365ba16 518 return m_matrix * extendedTo(other.derived());
ykuroda 0:13a5d365ba16 519 }
ykuroda 0:13a5d365ba16 520
ykuroda 0:13a5d365ba16 521 /** Returns the expression where each subvector is the quotient of the corresponding
ykuroda 0:13a5d365ba16 522 * subvector of \c *this by the vector \a other */
ykuroda 0:13a5d365ba16 523 template<typename OtherDerived>
ykuroda 0:13a5d365ba16 524 CwiseBinaryOp<internal::scalar_quotient_op<Scalar>,
ykuroda 0:13a5d365ba16 525 const ExpressionTypeNestedCleaned,
ykuroda 0:13a5d365ba16 526 const typename ExtendedType<OtherDerived>::Type>
ykuroda 0:13a5d365ba16 527 operator/(const DenseBase<OtherDerived>& other) const
ykuroda 0:13a5d365ba16 528 {
ykuroda 0:13a5d365ba16 529 EIGEN_STATIC_ASSERT_VECTOR_ONLY(OtherDerived)
ykuroda 0:13a5d365ba16 530 EIGEN_STATIC_ASSERT_ARRAYXPR(ExpressionType)
ykuroda 0:13a5d365ba16 531 EIGEN_STATIC_ASSERT_SAME_XPR_KIND(ExpressionType, OtherDerived)
ykuroda 0:13a5d365ba16 532 return m_matrix / extendedTo(other.derived());
ykuroda 0:13a5d365ba16 533 }
ykuroda 0:13a5d365ba16 534
ykuroda 0:13a5d365ba16 535 /** \returns an expression where each column of row of the referenced matrix are normalized.
ykuroda 0:13a5d365ba16 536 * The referenced matrix is \b not modified.
ykuroda 0:13a5d365ba16 537 * \sa MatrixBase::normalized(), normalize()
ykuroda 0:13a5d365ba16 538 */
ykuroda 0:13a5d365ba16 539 CwiseBinaryOp<internal::scalar_quotient_op<Scalar>,
ykuroda 0:13a5d365ba16 540 const ExpressionTypeNestedCleaned,
ykuroda 0:13a5d365ba16 541 const typename OppositeExtendedType<typename ReturnType<internal::member_norm,RealScalar>::Type>::Type>
ykuroda 0:13a5d365ba16 542 normalized() const { return m_matrix.cwiseQuotient(extendedToOpposite(this->norm())); }
ykuroda 0:13a5d365ba16 543
ykuroda 0:13a5d365ba16 544
ykuroda 0:13a5d365ba16 545 /** Normalize in-place each row or columns of the referenced matrix.
ykuroda 0:13a5d365ba16 546 * \sa MatrixBase::normalize(), normalized()
ykuroda 0:13a5d365ba16 547 */
ykuroda 0:13a5d365ba16 548 void normalize() {
ykuroda 0:13a5d365ba16 549 m_matrix = this->normalized();
ykuroda 0:13a5d365ba16 550 }
ykuroda 0:13a5d365ba16 551
ykuroda 0:13a5d365ba16 552 /////////// Geometry module ///////////
ykuroda 0:13a5d365ba16 553
ykuroda 0:13a5d365ba16 554 #if EIGEN2_SUPPORT_STAGE > STAGE20_RESOLVE_API_CONFLICTS
ykuroda 0:13a5d365ba16 555 Homogeneous<ExpressionType,Direction> homogeneous() const;
ykuroda 0:13a5d365ba16 556 #endif
ykuroda 0:13a5d365ba16 557
ykuroda 0:13a5d365ba16 558 typedef typename ExpressionType::PlainObject CrossReturnType;
ykuroda 0:13a5d365ba16 559 template<typename OtherDerived>
ykuroda 0:13a5d365ba16 560 const CrossReturnType cross(const MatrixBase<OtherDerived>& other) const;
ykuroda 0:13a5d365ba16 561
ykuroda 0:13a5d365ba16 562 enum {
ykuroda 0:13a5d365ba16 563 HNormalized_Size = Direction==Vertical ? internal::traits<ExpressionType>::RowsAtCompileTime
ykuroda 0:13a5d365ba16 564 : internal::traits<ExpressionType>::ColsAtCompileTime,
ykuroda 0:13a5d365ba16 565 HNormalized_SizeMinusOne = HNormalized_Size==Dynamic ? Dynamic : HNormalized_Size-1
ykuroda 0:13a5d365ba16 566 };
ykuroda 0:13a5d365ba16 567 typedef Block<const ExpressionType,
ykuroda 0:13a5d365ba16 568 Direction==Vertical ? int(HNormalized_SizeMinusOne)
ykuroda 0:13a5d365ba16 569 : int(internal::traits<ExpressionType>::RowsAtCompileTime),
ykuroda 0:13a5d365ba16 570 Direction==Horizontal ? int(HNormalized_SizeMinusOne)
ykuroda 0:13a5d365ba16 571 : int(internal::traits<ExpressionType>::ColsAtCompileTime)>
ykuroda 0:13a5d365ba16 572 HNormalized_Block;
ykuroda 0:13a5d365ba16 573 typedef Block<const ExpressionType,
ykuroda 0:13a5d365ba16 574 Direction==Vertical ? 1 : int(internal::traits<ExpressionType>::RowsAtCompileTime),
ykuroda 0:13a5d365ba16 575 Direction==Horizontal ? 1 : int(internal::traits<ExpressionType>::ColsAtCompileTime)>
ykuroda 0:13a5d365ba16 576 HNormalized_Factors;
ykuroda 0:13a5d365ba16 577 typedef CwiseBinaryOp<internal::scalar_quotient_op<typename internal::traits<ExpressionType>::Scalar>,
ykuroda 0:13a5d365ba16 578 const HNormalized_Block,
ykuroda 0:13a5d365ba16 579 const Replicate<HNormalized_Factors,
ykuroda 0:13a5d365ba16 580 Direction==Vertical ? HNormalized_SizeMinusOne : 1,
ykuroda 0:13a5d365ba16 581 Direction==Horizontal ? HNormalized_SizeMinusOne : 1> >
ykuroda 0:13a5d365ba16 582 HNormalizedReturnType;
ykuroda 0:13a5d365ba16 583
ykuroda 0:13a5d365ba16 584 const HNormalizedReturnType hnormalized() const;
ykuroda 0:13a5d365ba16 585
ykuroda 0:13a5d365ba16 586 protected:
ykuroda 0:13a5d365ba16 587 ExpressionTypeNested m_matrix;
ykuroda 0:13a5d365ba16 588 };
ykuroda 0:13a5d365ba16 589
ykuroda 0:13a5d365ba16 590 /** \returns a VectorwiseOp wrapper of *this providing additional partial reduction operations
ykuroda 0:13a5d365ba16 591 *
ykuroda 0:13a5d365ba16 592 * Example: \include MatrixBase_colwise.cpp
ykuroda 0:13a5d365ba16 593 * Output: \verbinclude MatrixBase_colwise.out
ykuroda 0:13a5d365ba16 594 *
ykuroda 0:13a5d365ba16 595 * \sa rowwise(), class VectorwiseOp, \ref TutorialReductionsVisitorsBroadcasting
ykuroda 0:13a5d365ba16 596 */
ykuroda 0:13a5d365ba16 597 template<typename Derived>
ykuroda 0:13a5d365ba16 598 inline const typename DenseBase<Derived>::ConstColwiseReturnType
ykuroda 0:13a5d365ba16 599 DenseBase<Derived>::colwise() const
ykuroda 0:13a5d365ba16 600 {
ykuroda 0:13a5d365ba16 601 return derived();
ykuroda 0:13a5d365ba16 602 }
ykuroda 0:13a5d365ba16 603
ykuroda 0:13a5d365ba16 604 /** \returns a writable VectorwiseOp wrapper of *this providing additional partial reduction operations
ykuroda 0:13a5d365ba16 605 *
ykuroda 0:13a5d365ba16 606 * \sa rowwise(), class VectorwiseOp, \ref TutorialReductionsVisitorsBroadcasting
ykuroda 0:13a5d365ba16 607 */
ykuroda 0:13a5d365ba16 608 template<typename Derived>
ykuroda 0:13a5d365ba16 609 inline typename DenseBase<Derived>::ColwiseReturnType
ykuroda 0:13a5d365ba16 610 DenseBase<Derived>::colwise()
ykuroda 0:13a5d365ba16 611 {
ykuroda 0:13a5d365ba16 612 return derived();
ykuroda 0:13a5d365ba16 613 }
ykuroda 0:13a5d365ba16 614
ykuroda 0:13a5d365ba16 615 /** \returns a VectorwiseOp wrapper of *this providing additional partial reduction operations
ykuroda 0:13a5d365ba16 616 *
ykuroda 0:13a5d365ba16 617 * Example: \include MatrixBase_rowwise.cpp
ykuroda 0:13a5d365ba16 618 * Output: \verbinclude MatrixBase_rowwise.out
ykuroda 0:13a5d365ba16 619 *
ykuroda 0:13a5d365ba16 620 * \sa colwise(), class VectorwiseOp, \ref TutorialReductionsVisitorsBroadcasting
ykuroda 0:13a5d365ba16 621 */
ykuroda 0:13a5d365ba16 622 template<typename Derived>
ykuroda 0:13a5d365ba16 623 inline const typename DenseBase<Derived>::ConstRowwiseReturnType
ykuroda 0:13a5d365ba16 624 DenseBase<Derived>::rowwise() const
ykuroda 0:13a5d365ba16 625 {
ykuroda 0:13a5d365ba16 626 return derived();
ykuroda 0:13a5d365ba16 627 }
ykuroda 0:13a5d365ba16 628
ykuroda 0:13a5d365ba16 629 /** \returns a writable VectorwiseOp wrapper of *this providing additional partial reduction operations
ykuroda 0:13a5d365ba16 630 *
ykuroda 0:13a5d365ba16 631 * \sa colwise(), class VectorwiseOp, \ref TutorialReductionsVisitorsBroadcasting
ykuroda 0:13a5d365ba16 632 */
ykuroda 0:13a5d365ba16 633 template<typename Derived>
ykuroda 0:13a5d365ba16 634 inline typename DenseBase<Derived>::RowwiseReturnType
ykuroda 0:13a5d365ba16 635 DenseBase<Derived>::rowwise()
ykuroda 0:13a5d365ba16 636 {
ykuroda 0:13a5d365ba16 637 return derived();
ykuroda 0:13a5d365ba16 638 }
ykuroda 0:13a5d365ba16 639
ykuroda 0:13a5d365ba16 640 } // end namespace Eigen
ykuroda 0:13a5d365ba16 641
ykuroda 0:13a5d365ba16 642 #endif // EIGEN_PARTIAL_REDUX_H