Eigen  3.3.90 (mercurial changeset b6e6d0cf6a77)
VectorwiseOp.h
1 // This file is part of Eigen, a lightweight C++ template library
2 // for linear algebra.
3 //
4 // Copyright (C) 2008-2010 Gael Guennebaud <gael.guennebaud@inria.fr>
5 // Copyright (C) 2006-2008 Benoit Jacob <jacob.benoit.1@gmail.com>
6 //
7 // This Source Code Form is subject to the terms of the Mozilla
8 // Public License v. 2.0. If a copy of the MPL was not distributed
9 // with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
10 
11 #ifndef EIGEN_PARTIAL_REDUX_H
12 #define EIGEN_PARTIAL_REDUX_H
13 
14 namespace Eigen {
15 
32 template< typename MatrixType, typename MemberOp, int Direction>
33 class PartialReduxExpr;
34 
35 namespace internal {
36 template<typename MatrixType, typename MemberOp, int Direction>
37 struct traits<PartialReduxExpr<MatrixType, MemberOp, Direction> >
38  : traits<MatrixType>
39 {
40  typedef typename MemberOp::result_type Scalar;
41  typedef typename traits<MatrixType>::StorageKind StorageKind;
42  typedef typename traits<MatrixType>::XprKind XprKind;
43  typedef typename MatrixType::Scalar InputScalar;
44  enum {
45  RowsAtCompileTime = Direction==Vertical ? 1 : MatrixType::RowsAtCompileTime,
46  ColsAtCompileTime = Direction==Horizontal ? 1 : MatrixType::ColsAtCompileTime,
47  MaxRowsAtCompileTime = Direction==Vertical ? 1 : MatrixType::MaxRowsAtCompileTime,
48  MaxColsAtCompileTime = Direction==Horizontal ? 1 : MatrixType::MaxColsAtCompileTime,
49  Flags = RowsAtCompileTime == 1 ? RowMajorBit : 0,
50  TraversalSize = Direction==Vertical ? MatrixType::RowsAtCompileTime : MatrixType::ColsAtCompileTime
51  };
52 };
53 }
54 
55 template< typename MatrixType, typename MemberOp, int Direction>
56 class PartialReduxExpr : public internal::dense_xpr_base< PartialReduxExpr<MatrixType, MemberOp, Direction> >::type,
57  internal::no_assignment_operator
58 {
59  public:
60 
61  typedef typename internal::dense_xpr_base<PartialReduxExpr>::type Base;
62  EIGEN_DENSE_PUBLIC_INTERFACE(PartialReduxExpr)
63 
64  EIGEN_DEVICE_FUNC
65  explicit PartialReduxExpr(const MatrixType& mat, const MemberOp& func = MemberOp())
66  : m_matrix(mat), m_functor(func) {}
67 
68  EIGEN_DEVICE_FUNC
69  Index rows() const { return (Direction==Vertical ? 1 : m_matrix.rows()); }
70  EIGEN_DEVICE_FUNC
71  Index cols() const { return (Direction==Horizontal ? 1 : m_matrix.cols()); }
72 
73  EIGEN_DEVICE_FUNC
74  typename MatrixType::Nested nestedExpression() const { return m_matrix; }
75 
76  EIGEN_DEVICE_FUNC
77  const MemberOp& functor() const { return m_functor; }
78 
79  protected:
80  typename MatrixType::Nested m_matrix;
81  const MemberOp m_functor;
82 };
83 
84 #define EIGEN_MEMBER_FUNCTOR(MEMBER,COST) \
85  template <typename ResultType> \
86  struct member_##MEMBER { \
87  EIGEN_EMPTY_STRUCT_CTOR(member_##MEMBER) \
88  typedef ResultType result_type; \
89  template<typename Scalar, int Size> struct Cost \
90  { enum { value = COST }; }; \
91  template<typename XprType> \
92  EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE \
93  ResultType operator()(const XprType& mat) const \
94  { return mat.MEMBER(); } \
95  }
96 
97 namespace internal {
98 
99 EIGEN_MEMBER_FUNCTOR(squaredNorm, Size * NumTraits<Scalar>::MulCost + (Size-1)*NumTraits<Scalar>::AddCost);
100 EIGEN_MEMBER_FUNCTOR(norm, (Size+5) * NumTraits<Scalar>::MulCost + (Size-1)*NumTraits<Scalar>::AddCost);
101 EIGEN_MEMBER_FUNCTOR(stableNorm, (Size+5) * NumTraits<Scalar>::MulCost + (Size-1)*NumTraits<Scalar>::AddCost);
102 EIGEN_MEMBER_FUNCTOR(blueNorm, (Size+5) * NumTraits<Scalar>::MulCost + (Size-1)*NumTraits<Scalar>::AddCost);
103 EIGEN_MEMBER_FUNCTOR(hypotNorm, (Size-1) * functor_traits<scalar_hypot_op<Scalar> >::Cost );
104 EIGEN_MEMBER_FUNCTOR(sum, (Size-1)*NumTraits<Scalar>::AddCost);
105 EIGEN_MEMBER_FUNCTOR(mean, (Size-1)*NumTraits<Scalar>::AddCost + NumTraits<Scalar>::MulCost);
106 EIGEN_MEMBER_FUNCTOR(minCoeff, (Size-1)*NumTraits<Scalar>::AddCost);
107 EIGEN_MEMBER_FUNCTOR(maxCoeff, (Size-1)*NumTraits<Scalar>::AddCost);
108 EIGEN_MEMBER_FUNCTOR(all, (Size-1)*NumTraits<Scalar>::AddCost);
109 EIGEN_MEMBER_FUNCTOR(any, (Size-1)*NumTraits<Scalar>::AddCost);
110 EIGEN_MEMBER_FUNCTOR(count, (Size-1)*NumTraits<Scalar>::AddCost);
111 EIGEN_MEMBER_FUNCTOR(prod, (Size-1)*NumTraits<Scalar>::MulCost);
112 
113 template <int p, typename ResultType>
114 struct member_lpnorm {
115  typedef ResultType result_type;
116  template<typename Scalar, int Size> struct Cost
117  { enum { value = (Size+5) * NumTraits<Scalar>::MulCost + (Size-1)*NumTraits<Scalar>::AddCost }; };
118  EIGEN_DEVICE_FUNC member_lpnorm() {}
119  template<typename XprType>
120  EIGEN_DEVICE_FUNC inline ResultType operator()(const XprType& mat) const
121  { return mat.template lpNorm<p>(); }
122 };
123 
124 template <typename BinaryOp, typename Scalar>
125 struct member_redux {
126  typedef typename result_of<
127  BinaryOp(const Scalar&,const Scalar&)
128  >::type result_type;
129  template<typename _Scalar, int Size> struct Cost
130  { enum { value = (Size-1) * functor_traits<BinaryOp>::Cost }; };
131  EIGEN_DEVICE_FUNC explicit member_redux(const BinaryOp func) : m_functor(func) {}
132  template<typename Derived>
133  EIGEN_DEVICE_FUNC inline result_type operator()(const DenseBase<Derived>& mat) const
134  { return mat.redux(m_functor); }
135  const BinaryOp m_functor;
136 };
137 }
138 
156 template<typename ExpressionType, int Direction> class VectorwiseOp
157 {
158  public:
159 
160  typedef typename ExpressionType::Scalar Scalar;
161  typedef typename ExpressionType::RealScalar RealScalar;
162  typedef Eigen::Index Index;
163  typedef typename internal::ref_selector<ExpressionType>::non_const_type ExpressionTypeNested;
164  typedef typename internal::remove_all<ExpressionTypeNested>::type ExpressionTypeNestedCleaned;
165 
166  template<template<typename _Scalar> class Functor,
167  typename Scalar_=Scalar> struct ReturnType
168  {
169  typedef PartialReduxExpr<ExpressionType,
170  Functor<Scalar_>,
171  Direction
172  > Type;
173  };
174 
175  template<typename BinaryOp> struct ReduxReturnType
176  {
177  typedef PartialReduxExpr<ExpressionType,
178  internal::member_redux<BinaryOp,Scalar>,
179  Direction
180  > Type;
181  };
182 
183  enum {
184  isVertical = (Direction==Vertical) ? 1 : 0,
185  isHorizontal = (Direction==Horizontal) ? 1 : 0
186  };
187 
188  protected:
189 
190  typedef typename internal::conditional<isVertical,
191  typename ExpressionType::ColXpr,
192  typename ExpressionType::RowXpr>::type SubVector;
195  EIGEN_DEVICE_FUNC
196  SubVector subVector(Index i)
197  {
198  return SubVector(m_matrix.derived(),i);
199  }
200 
203  EIGEN_DEVICE_FUNC
204  Index subVectors() const
205  { return isVertical?m_matrix.cols():m_matrix.rows(); }
206 
207  template<typename OtherDerived> struct ExtendedType {
208  typedef Replicate<OtherDerived,
209  isVertical ? 1 : ExpressionType::RowsAtCompileTime,
210  isHorizontal ? 1 : ExpressionType::ColsAtCompileTime> Type;
211  };
212 
215  template<typename OtherDerived>
216  EIGEN_DEVICE_FUNC
218  extendedTo(const DenseBase<OtherDerived>& other) const
219  {
220  EIGEN_STATIC_ASSERT(EIGEN_IMPLIES(isVertical, OtherDerived::MaxColsAtCompileTime==1),
221  YOU_PASSED_A_ROW_VECTOR_BUT_A_COLUMN_VECTOR_WAS_EXPECTED)
222  EIGEN_STATIC_ASSERT(EIGEN_IMPLIES(isHorizontal, OtherDerived::MaxRowsAtCompileTime==1),
223  YOU_PASSED_A_COLUMN_VECTOR_BUT_A_ROW_VECTOR_WAS_EXPECTED)
224  return typename ExtendedType<OtherDerived>::Type
225  (other.derived(),
226  isVertical ? 1 : m_matrix.rows(),
227  isHorizontal ? 1 : m_matrix.cols());
228  }
229 
230  template<typename OtherDerived> struct OppositeExtendedType {
231  typedef Replicate<OtherDerived,
232  isHorizontal ? 1 : ExpressionType::RowsAtCompileTime,
233  isVertical ? 1 : ExpressionType::ColsAtCompileTime> Type;
234  };
235 
238  template<typename OtherDerived>
239  EIGEN_DEVICE_FUNC
241  extendedToOpposite(const DenseBase<OtherDerived>& other) const
242  {
243  EIGEN_STATIC_ASSERT(EIGEN_IMPLIES(isHorizontal, OtherDerived::MaxColsAtCompileTime==1),
244  YOU_PASSED_A_ROW_VECTOR_BUT_A_COLUMN_VECTOR_WAS_EXPECTED)
245  EIGEN_STATIC_ASSERT(EIGEN_IMPLIES(isVertical, OtherDerived::MaxRowsAtCompileTime==1),
246  YOU_PASSED_A_COLUMN_VECTOR_BUT_A_ROW_VECTOR_WAS_EXPECTED)
248  (other.derived(),
249  isHorizontal ? 1 : m_matrix.rows(),
250  isVertical ? 1 : m_matrix.cols());
251  }
252 
253  public:
254  EIGEN_DEVICE_FUNC
255  explicit inline VectorwiseOp(ExpressionType& matrix) : m_matrix(matrix) {}
256 
258  EIGEN_DEVICE_FUNC
259  inline const ExpressionType& _expression() const { return m_matrix; }
260 
268  template<typename BinaryOp>
269  EIGEN_DEVICE_FUNC
270  const typename ReduxReturnType<BinaryOp>::Type
271  redux(const BinaryOp& func = BinaryOp()) const
272  { return typename ReduxReturnType<BinaryOp>::Type(_expression(), internal::member_redux<BinaryOp,Scalar>(func)); }
273 
289 
290  template<int p> struct LpNormReturnType {
292  };
293 
303  EIGEN_DEVICE_FUNC
304  const MinCoeffReturnType minCoeff() const
305  { return MinCoeffReturnType(_expression()); }
306 
316  EIGEN_DEVICE_FUNC
317  const MaxCoeffReturnType maxCoeff() const
318  { return MaxCoeffReturnType(_expression()); }
319 
328  EIGEN_DEVICE_FUNC
329  const SquaredNormReturnType squaredNorm() const
330  { return SquaredNormReturnType(_expression()); }
331 
340  EIGEN_DEVICE_FUNC
341  const NormReturnType norm() const
342  { return NormReturnType(_expression()); }
343 
352  template<int p>
353  EIGEN_DEVICE_FUNC
354  const typename LpNormReturnType<p>::Type lpNorm() const
355  { return typename LpNormReturnType<p>::Type(_expression()); }
356 
357 
364  EIGEN_DEVICE_FUNC
365  const BlueNormReturnType blueNorm() const
366  { return BlueNormReturnType(_expression()); }
367 
368 
375  EIGEN_DEVICE_FUNC
376  const StableNormReturnType stableNorm() const
377  { return StableNormReturnType(_expression()); }
378 
379 
386  EIGEN_DEVICE_FUNC
387  const HypotNormReturnType hypotNorm() const
388  { return HypotNormReturnType(_expression()); }
389 
397  EIGEN_DEVICE_FUNC
398  const SumReturnType sum() const
399  { return SumReturnType(_expression()); }
400 
405  EIGEN_DEVICE_FUNC
406  const MeanReturnType mean() const
407  { return MeanReturnType(_expression()); }
408 
414  EIGEN_DEVICE_FUNC
415  const AllReturnType all() const
416  { return AllReturnType(_expression()); }
417 
423  EIGEN_DEVICE_FUNC
424  const AnyReturnType any() const
425  { return AnyReturnType(_expression()); }
426 
436  EIGEN_DEVICE_FUNC
437  const CountReturnType count() const
438  { return CountReturnType(_expression()); }
439 
447  EIGEN_DEVICE_FUNC
448  const ProdReturnType prod() const
449  { return ProdReturnType(_expression()); }
450 
451 
459  EIGEN_DEVICE_FUNC
460  const ConstReverseReturnType reverse() const
461  { return ConstReverseReturnType( _expression() ); }
462 
467  EIGEN_DEVICE_FUNC
468  ReverseReturnType reverse()
469  { return ReverseReturnType( _expression() ); }
470 
472  EIGEN_DEVICE_FUNC
473  const ReplicateReturnType replicate(Index factor) const;
474 
483  // NOTE implemented here because of sunstudio's compilation errors
484  // isVertical*Factor+isHorizontal instead of (isVertical?Factor:1) to handle CUDA bug with ternary operator
486  EIGEN_DEVICE_FUNC
487  replicate(Index factor = Factor) const
488  {
490  (_expression(),isVertical?factor:1,isHorizontal?factor:1);
491  }
492 
494 
496  template<typename OtherDerived>
497  EIGEN_DEVICE_FUNC
498  ExpressionType& operator=(const DenseBase<OtherDerived>& other)
499  {
500  EIGEN_STATIC_ASSERT_VECTOR_ONLY(OtherDerived)
501  EIGEN_STATIC_ASSERT_SAME_XPR_KIND(ExpressionType, OtherDerived)
502  //eigen_assert((m_matrix.isNull()) == (other.isNull())); FIXME
503  return const_cast<ExpressionType&>(m_matrix = extendedTo(other.derived()));
504  }
505 
507  template<typename OtherDerived>
508  EIGEN_DEVICE_FUNC
509  ExpressionType& operator+=(const DenseBase<OtherDerived>& other)
510  {
511  EIGEN_STATIC_ASSERT_VECTOR_ONLY(OtherDerived)
512  EIGEN_STATIC_ASSERT_SAME_XPR_KIND(ExpressionType, OtherDerived)
513  return const_cast<ExpressionType&>(m_matrix += extendedTo(other.derived()));
514  }
515 
517  template<typename OtherDerived>
518  EIGEN_DEVICE_FUNC
519  ExpressionType& operator-=(const DenseBase<OtherDerived>& other)
520  {
521  EIGEN_STATIC_ASSERT_VECTOR_ONLY(OtherDerived)
522  EIGEN_STATIC_ASSERT_SAME_XPR_KIND(ExpressionType, OtherDerived)
523  return const_cast<ExpressionType&>(m_matrix -= extendedTo(other.derived()));
524  }
525 
527  template<typename OtherDerived>
528  EIGEN_DEVICE_FUNC
529  ExpressionType& operator*=(const DenseBase<OtherDerived>& other)
530  {
531  EIGEN_STATIC_ASSERT_VECTOR_ONLY(OtherDerived)
532  EIGEN_STATIC_ASSERT_ARRAYXPR(ExpressionType)
533  EIGEN_STATIC_ASSERT_SAME_XPR_KIND(ExpressionType, OtherDerived)
534  m_matrix *= extendedTo(other.derived());
535  return const_cast<ExpressionType&>(m_matrix);
536  }
537 
539  template<typename OtherDerived>
540  EIGEN_DEVICE_FUNC
541  ExpressionType& operator/=(const DenseBase<OtherDerived>& other)
542  {
543  EIGEN_STATIC_ASSERT_VECTOR_ONLY(OtherDerived)
544  EIGEN_STATIC_ASSERT_ARRAYXPR(ExpressionType)
545  EIGEN_STATIC_ASSERT_SAME_XPR_KIND(ExpressionType, OtherDerived)
546  m_matrix /= extendedTo(other.derived());
547  return const_cast<ExpressionType&>(m_matrix);
548  }
549 
551  template<typename OtherDerived> EIGEN_STRONG_INLINE EIGEN_DEVICE_FUNC
553  const ExpressionTypeNestedCleaned,
554  const typename ExtendedType<OtherDerived>::Type>
555  operator+(const DenseBase<OtherDerived>& other) const
556  {
557  EIGEN_STATIC_ASSERT_VECTOR_ONLY(OtherDerived)
558  EIGEN_STATIC_ASSERT_SAME_XPR_KIND(ExpressionType, OtherDerived)
559  return m_matrix + extendedTo(other.derived());
560  }
561 
563  template<typename OtherDerived>
564  EIGEN_DEVICE_FUNC
566  const ExpressionTypeNestedCleaned,
567  const typename ExtendedType<OtherDerived>::Type>
568  operator-(const DenseBase<OtherDerived>& other) const
569  {
570  EIGEN_STATIC_ASSERT_VECTOR_ONLY(OtherDerived)
571  EIGEN_STATIC_ASSERT_SAME_XPR_KIND(ExpressionType, OtherDerived)
572  return m_matrix - extendedTo(other.derived());
573  }
574 
577  template<typename OtherDerived> EIGEN_STRONG_INLINE EIGEN_DEVICE_FUNC
579  const ExpressionTypeNestedCleaned,
580  const typename ExtendedType<OtherDerived>::Type>
581  EIGEN_DEVICE_FUNC
582  operator*(const DenseBase<OtherDerived>& other) const
583  {
584  EIGEN_STATIC_ASSERT_VECTOR_ONLY(OtherDerived)
585  EIGEN_STATIC_ASSERT_ARRAYXPR(ExpressionType)
586  EIGEN_STATIC_ASSERT_SAME_XPR_KIND(ExpressionType, OtherDerived)
587  return m_matrix * extendedTo(other.derived());
588  }
589 
592  template<typename OtherDerived>
593  EIGEN_DEVICE_FUNC
595  const ExpressionTypeNestedCleaned,
596  const typename ExtendedType<OtherDerived>::Type>
597  operator/(const DenseBase<OtherDerived>& other) const
598  {
599  EIGEN_STATIC_ASSERT_VECTOR_ONLY(OtherDerived)
600  EIGEN_STATIC_ASSERT_ARRAYXPR(ExpressionType)
601  EIGEN_STATIC_ASSERT_SAME_XPR_KIND(ExpressionType, OtherDerived)
602  return m_matrix / extendedTo(other.derived());
603  }
604 
609  EIGEN_DEVICE_FUNC
610  CwiseBinaryOp<internal::scalar_quotient_op<Scalar>,
611  const ExpressionTypeNestedCleaned,
612  const typename OppositeExtendedType<typename ReturnType<internal::member_norm,RealScalar>::Type>::Type>
613  normalized() const { return m_matrix.cwiseQuotient(extendedToOpposite(this->norm())); }
614 
615 
619  EIGEN_DEVICE_FUNC void normalize() {
620  m_matrix = this->normalized();
621  }
622 
623  EIGEN_DEVICE_FUNC inline void reverseInPlace();
624 
626 
628  EIGEN_DEVICE_FUNC
629  HomogeneousReturnType homogeneous() const;
630 
631  typedef typename ExpressionType::PlainObject CrossReturnType;
632  template<typename OtherDerived>
633  EIGEN_DEVICE_FUNC
634  const CrossReturnType cross(const MatrixBase<OtherDerived>& other) const;
635 
636  enum {
637  HNormalized_Size = Direction==Vertical ? internal::traits<ExpressionType>::RowsAtCompileTime
638  : internal::traits<ExpressionType>::ColsAtCompileTime,
639  HNormalized_SizeMinusOne = HNormalized_Size==Dynamic ? Dynamic : HNormalized_Size-1
640  };
641  typedef Block<const ExpressionType,
642  Direction==Vertical ? int(HNormalized_SizeMinusOne)
643  : int(internal::traits<ExpressionType>::RowsAtCompileTime),
644  Direction==Horizontal ? int(HNormalized_SizeMinusOne)
645  : int(internal::traits<ExpressionType>::ColsAtCompileTime)>
647  typedef Block<const ExpressionType,
648  Direction==Vertical ? 1 : int(internal::traits<ExpressionType>::RowsAtCompileTime),
649  Direction==Horizontal ? 1 : int(internal::traits<ExpressionType>::ColsAtCompileTime)>
652  const HNormalized_Block,
654  Direction==Vertical ? HNormalized_SizeMinusOne : 1,
655  Direction==Horizontal ? HNormalized_SizeMinusOne : 1> >
657 
658  EIGEN_DEVICE_FUNC
659  const HNormalizedReturnType hnormalized() const;
660 
661  protected:
662  ExpressionTypeNested m_matrix;
663 };
664 
665 //const colwise moved to DenseBase.h due to CUDA compiler bug
666 
667 
672 template<typename Derived>
673 EIGEN_DEVICE_FUNC inline typename DenseBase<Derived>::ColwiseReturnType
675 {
676  return ColwiseReturnType(derived());
677 }
678 
679 //const rowwise moved to DenseBase.h due to CUDA compiler bug
680 
681 
686 template<typename Derived>
687 EIGEN_DEVICE_FUNC inline typename DenseBase<Derived>::RowwiseReturnType
689 {
690  return RowwiseReturnType(derived());
691 }
692 
693 } // end namespace Eigen
694 
695 #endif // EIGEN_PARTIAL_REDUX_H
ExpressionType & operator+=(const DenseBase< OtherDerived > &other)
Definition: VectorwiseOp.h:509
ReverseReturnType reverse()
Definition: VectorwiseOp.h:468
static const Eigen::internal::all_t all
Definition: IndexedViewHelper.h:181
CwiseBinaryOp< internal::scalar_sum_op< Scalar, typename OtherDerived::Scalar >, const ExpressionTypeNestedCleaned, const typename ExtendedType< OtherDerived >::Type > operator+(const DenseBase< OtherDerived > &other) const
Definition: VectorwiseOp.h:555
const MinCoeffReturnType minCoeff() const
Definition: VectorwiseOp.h:304
const StableNormReturnType stableNorm() const
Definition: VectorwiseOp.h:376
const MeanReturnType mean() const
Definition: VectorwiseOp.h:406
ExpressionType & operator*=(const DenseBase< OtherDerived > &other)
Definition: VectorwiseOp.h:529
Definition: Constants.h:269
void normalize()
Definition: VectorwiseOp.h:619
const BlueNormReturnType blueNorm() const
Definition: VectorwiseOp.h:365
Eigen::Index Index
Definition: VectorwiseOp.h:162
const CountReturnType count() const
Definition: VectorwiseOp.h:437
ExpressionType & operator=(const DenseBase< OtherDerived > &other)
Definition: VectorwiseOp.h:498
Namespace containing all symbols from the Eigen library.
Definition: Core:324
const MaxCoeffReturnType maxCoeff() const
Definition: VectorwiseOp.h:317
ExpressionType & operator-=(const DenseBase< OtherDerived > &other)
Definition: VectorwiseOp.h:519
Generic expression of a partially reduxed matrix.
Definition: ForwardDeclarations.h:245
const ProdReturnType prod() const
Definition: VectorwiseOp.h:448
Pseudo expression providing partial reduction operations.
Definition: ForwardDeclarations.h:246
Derived & derived()
Definition: EigenBase.h:45
const unsigned int RowMajorBit
Definition: Constants.h:65
Base class for all dense matrices, vectors, and arrays.
Definition: DenseBase.h:41
const AnyReturnType any() const
Definition: VectorwiseOp.h:424
Generic expression where a coefficient-wise binary operator is applied to two expressions.
Definition: CwiseBinaryOp.h:77
const ConstReverseReturnType reverse() const
Definition: VectorwiseOp.h:460
const LpNormReturnType< p >::Type lpNorm() const
Definition: VectorwiseOp.h:354
const AllReturnType all() const
Definition: VectorwiseOp.h:415
EIGEN_DEFAULT_DENSE_INDEX_TYPE Index
The Index type as used for the API.
Definition: Meta.h:33
const ReduxReturnType< BinaryOp >::Type redux(const BinaryOp &func=BinaryOp()) const
Definition: VectorwiseOp.h:271
Expression of the multiple replication of a matrix or vector.
Definition: Replicate.h:61
CwiseBinaryOp< internal::scalar_product_op< Scalar >, const ExpressionTypeNestedCleaned, const typename ExtendedType< OtherDerived >::Type > operator*(const DenseBase< OtherDerived > &other) const
Definition: VectorwiseOp.h:582
const NormReturnType norm() const
Definition: VectorwiseOp.h:341
ConstColwiseReturnType colwise() const
Definition: DenseBase.h:516
Definition: Constants.h:272
Definition: Eigen_Colamd.h:50
CwiseBinaryOp< internal::scalar_quotient_op< Scalar >, const ExpressionTypeNestedCleaned, const typename ExtendedType< OtherDerived >::Type > operator/(const DenseBase< OtherDerived > &other) const
Definition: VectorwiseOp.h:597
const SquaredNormReturnType squaredNorm() const
Definition: VectorwiseOp.h:329
Expression of a fixed-size or dynamic-size block.
Definition: Block.h:103
ConstRowwiseReturnType rowwise() const
Definition: DenseBase.h:504
CwiseBinaryOp< internal::scalar_quotient_op< Scalar >, const ExpressionTypeNestedCleaned, const typename OppositeExtendedType< typename ReturnType< internal::member_norm, RealScalar >::Type >::Type > normalized() const
Definition: VectorwiseOp.h:613
ExpressionType & operator/=(const DenseBase< OtherDerived > &other)
Definition: VectorwiseOp.h:541
const Replicate< ExpressionType, isVertical *Factor+isHorizontal, isHorizontal *Factor+isVertical > replicate(Index factor=Factor) const
Definition: VectorwiseOp.h:487
const int Dynamic
Definition: Constants.h:21
Expression of the reverse of a vector or matrix.
Definition: Reverse.h:63
const SumReturnType sum() const
Definition: VectorwiseOp.h:398
Base class for all dense matrices, vectors, and expressions.
Definition: MatrixBase.h:48
const HypotNormReturnType hypotNorm() const
Definition: VectorwiseOp.h:387
CwiseBinaryOp< internal::scalar_difference_op< Scalar, typename OtherDerived::Scalar >, const ExpressionTypeNestedCleaned, const typename ExtendedType< OtherDerived >::Type > operator-(const DenseBase< OtherDerived > &other) const
Definition: VectorwiseOp.h:568
Expression of one (or a set of) homogeneous vector(s)
Definition: ForwardDeclarations.h:279