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VectorwiseOp.h
1 // This file is part of Eigen, a lightweight C++ template library
2 // for linear algebra.
3 //
4 // Copyright (C) 2008-2019 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 template<typename A,typename B> struct partial_redux_dummy_func;
85 
86 #define EIGEN_MAKE_PARTIAL_REDUX_FUNCTOR(MEMBER,COST,VECTORIZABLE,BINARYOP) \
87  template <typename ResultType,typename Scalar> \
88  struct member_##MEMBER { \
89  EIGEN_EMPTY_STRUCT_CTOR(member_##MEMBER) \
90  typedef ResultType result_type; \
91  typedef BINARYOP<Scalar,Scalar> BinaryOp; \
92  template<int Size> struct Cost { enum { value = COST }; }; \
93  enum { Vectorizable = VECTORIZABLE }; \
94  template<typename XprType> \
95  EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE \
96  ResultType operator()(const XprType& mat) const \
97  { return mat.MEMBER(); } \
98  BinaryOp binaryFunc() const { return BinaryOp(); } \
99  }
100 
101 #define EIGEN_MEMBER_FUNCTOR(MEMBER,COST) \
102  EIGEN_MAKE_PARTIAL_REDUX_FUNCTOR(MEMBER,COST,0,partial_redux_dummy_func)
103 
104 namespace internal {
105 
106 EIGEN_MEMBER_FUNCTOR(norm, (Size+5) * NumTraits<Scalar>::MulCost + (Size-1)*NumTraits<Scalar>::AddCost);
107 EIGEN_MEMBER_FUNCTOR(stableNorm, (Size+5) * NumTraits<Scalar>::MulCost + (Size-1)*NumTraits<Scalar>::AddCost);
108 EIGEN_MEMBER_FUNCTOR(blueNorm, (Size+5) * NumTraits<Scalar>::MulCost + (Size-1)*NumTraits<Scalar>::AddCost);
109 EIGEN_MEMBER_FUNCTOR(hypotNorm, (Size-1) * functor_traits<scalar_hypot_op<Scalar> >::Cost );
110 EIGEN_MEMBER_FUNCTOR(all, (Size-1)*NumTraits<Scalar>::AddCost);
111 EIGEN_MEMBER_FUNCTOR(any, (Size-1)*NumTraits<Scalar>::AddCost);
112 EIGEN_MEMBER_FUNCTOR(count, (Size-1)*NumTraits<Scalar>::AddCost);
113 
114 EIGEN_MAKE_PARTIAL_REDUX_FUNCTOR(sum, (Size-1)*NumTraits<Scalar>::AddCost, 1, internal::scalar_sum_op);
115 EIGEN_MAKE_PARTIAL_REDUX_FUNCTOR(minCoeff, (Size-1)*NumTraits<Scalar>::AddCost, 1, internal::scalar_min_op);
116 EIGEN_MAKE_PARTIAL_REDUX_FUNCTOR(maxCoeff, (Size-1)*NumTraits<Scalar>::AddCost, 1, internal::scalar_max_op);
117 EIGEN_MAKE_PARTIAL_REDUX_FUNCTOR(prod, (Size-1)*NumTraits<Scalar>::MulCost, 1, internal::scalar_product_op);
118 
119 template <int p, typename ResultType,typename Scalar>
120 struct member_lpnorm {
121  typedef ResultType result_type;
122  enum { Vectorizable = 0 };
123  template<int Size> struct Cost
124  { enum { value = (Size+5) * NumTraits<Scalar>::MulCost + (Size-1)*NumTraits<Scalar>::AddCost }; };
125  EIGEN_DEVICE_FUNC member_lpnorm() {}
126  template<typename XprType>
127  EIGEN_DEVICE_FUNC inline ResultType operator()(const XprType& mat) const
128  { return mat.template lpNorm<p>(); }
129 };
130 
131 template <typename BinaryOpT, typename Scalar>
132 struct member_redux {
133  typedef BinaryOpT BinaryOp;
134  typedef typename result_of<
135  BinaryOp(const Scalar&,const Scalar&)
136  >::type result_type;
137 
138  enum { Vectorizable = functor_traits<BinaryOp>::PacketAccess };
139  template<int Size> struct Cost { enum { value = (Size-1) * functor_traits<BinaryOp>::Cost }; };
140  EIGEN_DEVICE_FUNC explicit member_redux(const BinaryOp func) : m_functor(func) {}
141  template<typename Derived>
142  EIGEN_DEVICE_FUNC inline result_type operator()(const DenseBase<Derived>& mat) const
143  { return mat.redux(m_functor); }
144  const BinaryOp& binaryFunc() const { return m_functor; }
145  const BinaryOp m_functor;
146 };
147 }
148 
186 template<typename ExpressionType, int Direction> class VectorwiseOp
187 {
188  public:
189 
190  typedef typename ExpressionType::Scalar Scalar;
191  typedef typename ExpressionType::RealScalar RealScalar;
192  typedef Eigen::Index Index;
193  typedef typename internal::ref_selector<ExpressionType>::non_const_type ExpressionTypeNested;
194  typedef typename internal::remove_all<ExpressionTypeNested>::type ExpressionTypeNestedCleaned;
195 
196  template<template<typename OutScalar,typename InputScalar> class Functor,
197  typename ReturnScalar=Scalar> struct ReturnType
198  {
199  typedef PartialReduxExpr<ExpressionType,
200  Functor<ReturnScalar,Scalar>,
201  Direction
202  > Type;
203  };
204 
205  template<typename BinaryOp> struct ReduxReturnType
206  {
207  typedef PartialReduxExpr<ExpressionType,
208  internal::member_redux<BinaryOp,Scalar>,
209  Direction
210  > Type;
211  };
212 
213  enum {
214  isVertical = (Direction==Vertical) ? 1 : 0,
215  isHorizontal = (Direction==Horizontal) ? 1 : 0
216  };
217 
218  protected:
219 
220  template<typename OtherDerived> struct ExtendedType {
221  typedef Replicate<OtherDerived,
222  isVertical ? 1 : ExpressionType::RowsAtCompileTime,
223  isHorizontal ? 1 : ExpressionType::ColsAtCompileTime> Type;
224  };
225 
228  template<typename OtherDerived>
229  EIGEN_DEVICE_FUNC
230  typename ExtendedType<OtherDerived>::Type
231  extendedTo(const DenseBase<OtherDerived>& other) const
232  {
233  EIGEN_STATIC_ASSERT(EIGEN_IMPLIES(isVertical, OtherDerived::MaxColsAtCompileTime==1),
234  YOU_PASSED_A_ROW_VECTOR_BUT_A_COLUMN_VECTOR_WAS_EXPECTED)
235  EIGEN_STATIC_ASSERT(EIGEN_IMPLIES(isHorizontal, OtherDerived::MaxRowsAtCompileTime==1),
236  YOU_PASSED_A_COLUMN_VECTOR_BUT_A_ROW_VECTOR_WAS_EXPECTED)
237  return typename ExtendedType<OtherDerived>::Type
238  (other.derived(),
239  isVertical ? 1 : m_matrix.rows(),
240  isHorizontal ? 1 : m_matrix.cols());
241  }
242 
243  template<typename OtherDerived> struct OppositeExtendedType {
244  typedef Replicate<OtherDerived,
245  isHorizontal ? 1 : ExpressionType::RowsAtCompileTime,
246  isVertical ? 1 : ExpressionType::ColsAtCompileTime> Type;
247  };
248 
251  template<typename OtherDerived>
252  EIGEN_DEVICE_FUNC
253  typename OppositeExtendedType<OtherDerived>::Type
254  extendedToOpposite(const DenseBase<OtherDerived>& other) const
255  {
256  EIGEN_STATIC_ASSERT(EIGEN_IMPLIES(isHorizontal, OtherDerived::MaxColsAtCompileTime==1),
257  YOU_PASSED_A_ROW_VECTOR_BUT_A_COLUMN_VECTOR_WAS_EXPECTED)
258  EIGEN_STATIC_ASSERT(EIGEN_IMPLIES(isVertical, OtherDerived::MaxRowsAtCompileTime==1),
259  YOU_PASSED_A_COLUMN_VECTOR_BUT_A_ROW_VECTOR_WAS_EXPECTED)
260  return typename OppositeExtendedType<OtherDerived>::Type
261  (other.derived(),
262  isHorizontal ? 1 : m_matrix.rows(),
263  isVertical ? 1 : m_matrix.cols());
264  }
265 
266  public:
267  EIGEN_DEVICE_FUNC
268  explicit inline VectorwiseOp(ExpressionType& matrix) : m_matrix(matrix) {}
269 
271  EIGEN_DEVICE_FUNC
272  inline const ExpressionType& _expression() const { return m_matrix; }
273 
274  #ifdef EIGEN_PARSED_BY_DOXYGEN
275 
278  random_access_iterator_type iterator;
280  random_access_iterator_type const_iterator;
281  #else
282  typedef internal::subvector_stl_iterator<ExpressionType, DirectionType(Direction)> iterator;
283  typedef internal::subvector_stl_iterator<const ExpressionType, DirectionType(Direction)> const_iterator;
284  typedef internal::subvector_stl_reverse_iterator<ExpressionType, DirectionType(Direction)> reverse_iterator;
285  typedef internal::subvector_stl_reverse_iterator<const ExpressionType, DirectionType(Direction)> const_reverse_iterator;
286  #endif
287 
291  iterator begin() { return iterator (m_matrix, 0); }
293  const_iterator begin() const { return const_iterator(m_matrix, 0); }
295  const_iterator cbegin() const { return const_iterator(m_matrix, 0); }
296 
300  reverse_iterator rbegin() { return reverse_iterator (m_matrix, m_matrix.template subVectors<DirectionType(Direction)>()-1); }
302  const_reverse_iterator rbegin() const { return const_reverse_iterator (m_matrix, m_matrix.template subVectors<DirectionType(Direction)>()-1); }
304  const_reverse_iterator crbegin() const { return const_reverse_iterator (m_matrix, m_matrix.template subVectors<DirectionType(Direction)>()-1); }
305 
309  iterator end() { return iterator (m_matrix, m_matrix.template subVectors<DirectionType(Direction)>()); }
311  const_iterator end() const { return const_iterator(m_matrix, m_matrix.template subVectors<DirectionType(Direction)>()); }
313  const_iterator cend() const { return const_iterator(m_matrix, m_matrix.template subVectors<DirectionType(Direction)>()); }
314 
318  reverse_iterator rend() { return reverse_iterator (m_matrix, -1); }
320  const_reverse_iterator rend() const { return const_reverse_iterator (m_matrix, -1); }
322  const_reverse_iterator crend() const { return const_reverse_iterator (m_matrix, -1); }
323 
334  template<typename BinaryOp>
335  EIGEN_DEVICE_FUNC
336  const typename ReduxReturnType<BinaryOp>::Type
337  redux(const BinaryOp& func = BinaryOp()) const
338  {
339  eigen_assert(redux_length()>0 && "you are using an empty matrix");
340  return typename ReduxReturnType<BinaryOp>::Type(_expression(), internal::member_redux<BinaryOp,Scalar>(func));
341  }
342 
343  typedef typename ReturnType<internal::member_minCoeff>::Type MinCoeffReturnType;
344  typedef typename ReturnType<internal::member_maxCoeff>::Type MaxCoeffReturnType;
345  typedef PartialReduxExpr<const CwiseUnaryOp<internal::scalar_abs2_op<Scalar>, const ExpressionTypeNestedCleaned>,internal::member_sum<RealScalar,RealScalar>,Direction> SquaredNormReturnType;
346  typedef CwiseUnaryOp<internal::scalar_sqrt_op<RealScalar>, const SquaredNormReturnType> NormReturnType;
347  typedef typename ReturnType<internal::member_blueNorm,RealScalar>::Type BlueNormReturnType;
348  typedef typename ReturnType<internal::member_stableNorm,RealScalar>::Type StableNormReturnType;
349  typedef typename ReturnType<internal::member_hypotNorm,RealScalar>::Type HypotNormReturnType;
350  typedef typename ReturnType<internal::member_sum>::Type SumReturnType;
351  typedef EIGEN_EXPR_BINARYOP_SCALAR_RETURN_TYPE(SumReturnType,Scalar,quotient) MeanReturnType;
352  typedef typename ReturnType<internal::member_all>::Type AllReturnType;
353  typedef typename ReturnType<internal::member_any>::Type AnyReturnType;
354  typedef PartialReduxExpr<ExpressionType, internal::member_count<Index,Scalar>, Direction> CountReturnType;
355  typedef typename ReturnType<internal::member_prod>::Type ProdReturnType;
356  typedef Reverse<const ExpressionType, Direction> ConstReverseReturnType;
357  typedef Reverse<ExpressionType, Direction> ReverseReturnType;
358 
359  template<int p> struct LpNormReturnType {
360  typedef PartialReduxExpr<ExpressionType, internal::member_lpnorm<p,RealScalar,Scalar>,Direction> Type;
361  };
362 
375  EIGEN_DEVICE_FUNC
376  const MinCoeffReturnType minCoeff() const
377  {
378  eigen_assert(redux_length()>0 && "you are using an empty matrix");
379  return MinCoeffReturnType(_expression());
380  }
381 
394  EIGEN_DEVICE_FUNC
395  const MaxCoeffReturnType maxCoeff() const
396  {
397  eigen_assert(redux_length()>0 && "you are using an empty matrix");
398  return MaxCoeffReturnType(_expression());
399  }
400 
409  EIGEN_DEVICE_FUNC
410  const SquaredNormReturnType squaredNorm() const
411  { return SquaredNormReturnType(m_matrix.cwiseAbs2()); }
412 
421  EIGEN_DEVICE_FUNC
422  const NormReturnType norm() const
423  { return NormReturnType(squaredNorm()); }
424 
433  template<int p>
434  EIGEN_DEVICE_FUNC
435  const typename LpNormReturnType<p>::Type lpNorm() const
436  { return typename LpNormReturnType<p>::Type(_expression()); }
437 
438 
445  EIGEN_DEVICE_FUNC
446  const BlueNormReturnType blueNorm() const
447  { return BlueNormReturnType(_expression()); }
448 
449 
456  EIGEN_DEVICE_FUNC
457  const StableNormReturnType stableNorm() const
458  { return StableNormReturnType(_expression()); }
459 
460 
467  EIGEN_DEVICE_FUNC
468  const HypotNormReturnType hypotNorm() const
469  { return HypotNormReturnType(_expression()); }
470 
478  EIGEN_DEVICE_FUNC
479  const SumReturnType sum() const
480  { return SumReturnType(_expression()); }
481 
486  EIGEN_DEVICE_FUNC
487  const MeanReturnType mean() const
488  { return sum() / Scalar(Direction==Vertical?m_matrix.rows():m_matrix.cols()); }
489 
495  EIGEN_DEVICE_FUNC
496  const AllReturnType all() const
497  { return AllReturnType(_expression()); }
498 
504  EIGEN_DEVICE_FUNC
505  const AnyReturnType any() const
506  { return AnyReturnType(_expression()); }
507 
517  EIGEN_DEVICE_FUNC
518  const CountReturnType count() const
519  { return CountReturnType(_expression()); }
520 
528  EIGEN_DEVICE_FUNC
529  const ProdReturnType prod() const
530  { return ProdReturnType(_expression()); }
531 
532 
540  EIGEN_DEVICE_FUNC
541  const ConstReverseReturnType reverse() const
542  { return ConstReverseReturnType( _expression() ); }
543 
548  EIGEN_DEVICE_FUNC
549  ReverseReturnType reverse()
550  { return ReverseReturnType( _expression() ); }
551 
552  typedef Replicate<ExpressionType,(isVertical?Dynamic:1),(isHorizontal?Dynamic:1)> ReplicateReturnType;
553  EIGEN_DEVICE_FUNC
554  const ReplicateReturnType replicate(Index factor) const;
555 
564  // NOTE implemented here because of sunstudio's compilation errors
565  // isVertical*Factor+isHorizontal instead of (isVertical?Factor:1) to handle CUDA bug with ternary operator
566  template<int Factor> const Replicate<ExpressionType,isVertical*Factor+isHorizontal,isHorizontal*Factor+isVertical>
567  EIGEN_DEVICE_FUNC
568  replicate(Index factor = Factor) const
569  {
570  return Replicate<ExpressionType,(isVertical?Factor:1),(isHorizontal?Factor:1)>
571  (_expression(),isVertical?factor:1,isHorizontal?factor:1);
572  }
573 
575 
577  template<typename OtherDerived>
578  EIGEN_DEVICE_FUNC
579  ExpressionType& operator=(const DenseBase<OtherDerived>& other)
580  {
581  EIGEN_STATIC_ASSERT_VECTOR_ONLY(OtherDerived)
582  EIGEN_STATIC_ASSERT_SAME_XPR_KIND(ExpressionType, OtherDerived)
583  //eigen_assert((m_matrix.isNull()) == (other.isNull())); FIXME
584  return m_matrix = extendedTo(other.derived());
585  }
586 
588  template<typename OtherDerived>
589  EIGEN_DEVICE_FUNC
590  ExpressionType& operator+=(const DenseBase<OtherDerived>& other)
591  {
592  EIGEN_STATIC_ASSERT_VECTOR_ONLY(OtherDerived)
593  EIGEN_STATIC_ASSERT_SAME_XPR_KIND(ExpressionType, OtherDerived)
594  return m_matrix += extendedTo(other.derived());
595  }
596 
598  template<typename OtherDerived>
599  EIGEN_DEVICE_FUNC
600  ExpressionType& operator-=(const DenseBase<OtherDerived>& other)
601  {
602  EIGEN_STATIC_ASSERT_VECTOR_ONLY(OtherDerived)
603  EIGEN_STATIC_ASSERT_SAME_XPR_KIND(ExpressionType, OtherDerived)
604  return m_matrix -= extendedTo(other.derived());
605  }
606 
608  template<typename OtherDerived>
609  EIGEN_DEVICE_FUNC
610  ExpressionType& operator*=(const DenseBase<OtherDerived>& other)
611  {
612  EIGEN_STATIC_ASSERT_VECTOR_ONLY(OtherDerived)
613  EIGEN_STATIC_ASSERT_ARRAYXPR(ExpressionType)
614  EIGEN_STATIC_ASSERT_SAME_XPR_KIND(ExpressionType, OtherDerived)
615  m_matrix *= extendedTo(other.derived());
616  return m_matrix;
617  }
618 
620  template<typename OtherDerived>
621  EIGEN_DEVICE_FUNC
622  ExpressionType& operator/=(const DenseBase<OtherDerived>& other)
623  {
624  EIGEN_STATIC_ASSERT_VECTOR_ONLY(OtherDerived)
625  EIGEN_STATIC_ASSERT_ARRAYXPR(ExpressionType)
626  EIGEN_STATIC_ASSERT_SAME_XPR_KIND(ExpressionType, OtherDerived)
627  m_matrix /= extendedTo(other.derived());
628  return m_matrix;
629  }
630 
632  template<typename OtherDerived> EIGEN_STRONG_INLINE EIGEN_DEVICE_FUNC
633  CwiseBinaryOp<internal::scalar_sum_op<Scalar,typename OtherDerived::Scalar>,
634  const ExpressionTypeNestedCleaned,
635  const typename ExtendedType<OtherDerived>::Type>
636  operator+(const DenseBase<OtherDerived>& other) const
637  {
638  EIGEN_STATIC_ASSERT_VECTOR_ONLY(OtherDerived)
639  EIGEN_STATIC_ASSERT_SAME_XPR_KIND(ExpressionType, OtherDerived)
640  return m_matrix + extendedTo(other.derived());
641  }
642 
644  template<typename OtherDerived>
645  EIGEN_DEVICE_FUNC
646  CwiseBinaryOp<internal::scalar_difference_op<Scalar,typename OtherDerived::Scalar>,
647  const ExpressionTypeNestedCleaned,
648  const typename ExtendedType<OtherDerived>::Type>
649  operator-(const DenseBase<OtherDerived>& other) const
650  {
651  EIGEN_STATIC_ASSERT_VECTOR_ONLY(OtherDerived)
652  EIGEN_STATIC_ASSERT_SAME_XPR_KIND(ExpressionType, OtherDerived)
653  return m_matrix - extendedTo(other.derived());
654  }
655 
658  template<typename OtherDerived> EIGEN_STRONG_INLINE EIGEN_DEVICE_FUNC
659  CwiseBinaryOp<internal::scalar_product_op<Scalar>,
660  const ExpressionTypeNestedCleaned,
661  const typename ExtendedType<OtherDerived>::Type>
662  EIGEN_DEVICE_FUNC
663  operator*(const DenseBase<OtherDerived>& other) const
664  {
665  EIGEN_STATIC_ASSERT_VECTOR_ONLY(OtherDerived)
666  EIGEN_STATIC_ASSERT_ARRAYXPR(ExpressionType)
667  EIGEN_STATIC_ASSERT_SAME_XPR_KIND(ExpressionType, OtherDerived)
668  return m_matrix * extendedTo(other.derived());
669  }
670 
673  template<typename OtherDerived>
674  EIGEN_DEVICE_FUNC
675  CwiseBinaryOp<internal::scalar_quotient_op<Scalar>,
676  const ExpressionTypeNestedCleaned,
677  const typename ExtendedType<OtherDerived>::Type>
678  operator/(const DenseBase<OtherDerived>& other) const
679  {
680  EIGEN_STATIC_ASSERT_VECTOR_ONLY(OtherDerived)
681  EIGEN_STATIC_ASSERT_ARRAYXPR(ExpressionType)
682  EIGEN_STATIC_ASSERT_SAME_XPR_KIND(ExpressionType, OtherDerived)
683  return m_matrix / extendedTo(other.derived());
684  }
685 
690  EIGEN_DEVICE_FUNC
691  CwiseBinaryOp<internal::scalar_quotient_op<Scalar>,
692  const ExpressionTypeNestedCleaned,
693  const typename OppositeExtendedType<NormReturnType>::Type>
694  normalized() const { return m_matrix.cwiseQuotient(extendedToOpposite(this->norm())); }
695 
696 
700  EIGEN_DEVICE_FUNC void normalize() {
701  m_matrix = this->normalized();
702  }
703 
704  EIGEN_DEVICE_FUNC inline void reverseInPlace();
705 
707 
708  typedef Homogeneous<ExpressionType,Direction> HomogeneousReturnType;
709  EIGEN_DEVICE_FUNC
710  HomogeneousReturnType homogeneous() const;
711 
712  typedef typename ExpressionType::PlainObject CrossReturnType;
713  template<typename OtherDerived>
714  EIGEN_DEVICE_FUNC
715  const CrossReturnType cross(const MatrixBase<OtherDerived>& other) const;
716 
717  enum {
718  HNormalized_Size = Direction==Vertical ? internal::traits<ExpressionType>::RowsAtCompileTime
719  : internal::traits<ExpressionType>::ColsAtCompileTime,
720  HNormalized_SizeMinusOne = HNormalized_Size==Dynamic ? Dynamic : HNormalized_Size-1
721  };
722  typedef Block<const ExpressionType,
723  Direction==Vertical ? int(HNormalized_SizeMinusOne)
724  : int(internal::traits<ExpressionType>::RowsAtCompileTime),
725  Direction==Horizontal ? int(HNormalized_SizeMinusOne)
726  : int(internal::traits<ExpressionType>::ColsAtCompileTime)>
727  HNormalized_Block;
728  typedef Block<const ExpressionType,
729  Direction==Vertical ? 1 : int(internal::traits<ExpressionType>::RowsAtCompileTime),
730  Direction==Horizontal ? 1 : int(internal::traits<ExpressionType>::ColsAtCompileTime)>
731  HNormalized_Factors;
732  typedef CwiseBinaryOp<internal::scalar_quotient_op<typename internal::traits<ExpressionType>::Scalar>,
733  const HNormalized_Block,
734  const Replicate<HNormalized_Factors,
735  Direction==Vertical ? HNormalized_SizeMinusOne : 1,
736  Direction==Horizontal ? HNormalized_SizeMinusOne : 1> >
737  HNormalizedReturnType;
738 
739  EIGEN_DEVICE_FUNC
740  const HNormalizedReturnType hnormalized() const;
741 
742 # ifdef EIGEN_VECTORWISEOP_PLUGIN
743 # include EIGEN_VECTORWISEOP_PLUGIN
744 # endif
745 
746  protected:
747  Index redux_length() const
748  {
749  return Direction==Vertical ? m_matrix.rows() : m_matrix.cols();
750  }
751  ExpressionTypeNested m_matrix;
752 };
753 
754 //const colwise moved to DenseBase.h due to CUDA compiler bug
755 
756 
761 template<typename Derived>
762 EIGEN_DEVICE_FUNC inline typename DenseBase<Derived>::ColwiseReturnType
763 DenseBase<Derived>::colwise()
764 {
765  return ColwiseReturnType(derived());
766 }
767 
768 //const rowwise moved to DenseBase.h due to CUDA compiler bug
769 
770 
775 template<typename Derived>
776 EIGEN_DEVICE_FUNC inline typename DenseBase<Derived>::RowwiseReturnType
777 DenseBase<Derived>::rowwise()
778 {
779  return RowwiseReturnType(derived());
780 }
781 
782 } // end namespace Eigen
783 
784 #endif // EIGEN_PARTIAL_REDUX_H
Eigen::VectorwiseOp::ReduxReturnType
Definition: VectorwiseOp.h:206
Eigen::VectorwiseOp::lpNorm
EIGEN_DEVICE_FUNC const LpNormReturnType< p >::Type lpNorm() const
Definition: VectorwiseOp.h:435
Eigen::VectorwiseOp::operator/
EIGEN_DEVICE_FUNC CwiseBinaryOp< internal::scalar_quotient_op< Scalar >, const ExpressionTypeNestedCleaned, const typename ExtendedType< OtherDerived >::Type > operator/(const DenseBase< OtherDerived > &other) const
Definition: VectorwiseOp.h:678
Eigen::VectorwiseOp::ExtendedType
Definition: VectorwiseOp.h:220
Eigen
Namespace containing all symbols from the Eigen library.
Definition: LDLT.h:16
Eigen::VectorwiseOp::OppositeExtendedType
Definition: VectorwiseOp.h:243
Eigen::VectorwiseOp::operator+=
EIGEN_DEVICE_FUNC ExpressionType & operator+=(const DenseBase< OtherDerived > &other)
Definition: VectorwiseOp.h:590
Eigen::CwiseBinaryOp
Generic expression where a coefficient-wise binary operator is applied to two expressions.
Definition: CwiseBinaryOp.h:84
Eigen::internal::member_lpnorm::Cost
Definition: VectorwiseOp.h:124
Eigen::Horizontal
@ Horizontal
Definition: Constants.h:266
Eigen::VectorwiseOp::hnormalized
EIGEN_DEVICE_FUNC const HNormalizedReturnType hnormalized() const
column or row-wise homogeneous normalization
Definition: Homogeneous.h:196
Eigen::internal::dense_xpr_base
Definition: XprHelper.h:492
Eigen::VectorwiseOp::operator=
EIGEN_DEVICE_FUNC ExpressionType & operator=(const DenseBase< OtherDerived > &other)
Definition: VectorwiseOp.h:579
Eigen::VectorwiseOp::rend
reverse_iterator rend()
Definition: VectorwiseOp.h:318
Eigen::RowMajorBit
const unsigned int RowMajorBit
Definition: Constants.h:65
Eigen::VectorwiseOp::LpNormReturnType
Definition: VectorwiseOp.h:359
Eigen::internal::member_redux::Cost
Definition: VectorwiseOp.h:139
Eigen::VectorwiseOp
Pseudo expression providing broadcasting and partial reduction operations.
Definition: VectorwiseOp.h:187
Eigen::VectorwiseOp::maxCoeff
EIGEN_DEVICE_FUNC const MaxCoeffReturnType maxCoeff() const
Definition: VectorwiseOp.h:395
Eigen::DirectionType
DirectionType
Definition: Constants.h:260
Eigen::VectorwiseOp::operator-=
EIGEN_DEVICE_FUNC ExpressionType & operator-=(const DenseBase< OtherDerived > &other)
Definition: VectorwiseOp.h:600
Eigen::VectorwiseOp::norm
EIGEN_DEVICE_FUNC const NormReturnType norm() const
Definition: VectorwiseOp.h:422
Eigen::VectorwiseOp::mean
EIGEN_DEVICE_FUNC const MeanReturnType mean() const
Definition: VectorwiseOp.h:487
Eigen::VectorwiseOp::replicate
EIGEN_DEVICE_FUNC const ReplicateReturnType replicate(Index factor) const
Definition: Replicate.h:134
Eigen::VectorwiseOp::rbegin
const_reverse_iterator rbegin() const
Definition: VectorwiseOp.h:302
Eigen::VectorwiseOp::end
iterator end()
Definition: VectorwiseOp.h:309
Eigen::internal::scalar_product_op
Definition: BinaryFunctors.h:71
Eigen::VectorwiseOp::count
EIGEN_DEVICE_FUNC const CountReturnType count() const
Definition: VectorwiseOp.h:518
Eigen::VectorwiseOp::operator-
EIGEN_DEVICE_FUNC 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:649
Eigen::Homogeneous
Expression of one (or a set of) homogeneous vector(s)
Definition: Homogeneous.h:62
Eigen::VectorwiseOp::sum
EIGEN_DEVICE_FUNC const SumReturnType sum() const
Definition: VectorwiseOp.h:479
Eigen::VectorwiseOp::blueNorm
EIGEN_DEVICE_FUNC const BlueNormReturnType blueNorm() const
Definition: VectorwiseOp.h:446
Eigen::internal::true_type
Definition: Meta.h:63
Eigen::VectorwiseOp::rend
const_reverse_iterator rend() const
Definition: VectorwiseOp.h:320
Eigen::VectorwiseOp::begin
const_iterator begin() const
Definition: VectorwiseOp.h:293
Eigen::VectorwiseOp::operator+
EIGEN_STRONG_INLINE EIGEN_DEVICE_FUNC 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:636
Eigen::Dynamic
const int Dynamic
Definition: Constants.h:21
Eigen::VectorwiseOp::Index
Eigen::Index Index
Definition: VectorwiseOp.h:192
Eigen::Reverse
Expression of the reverse of a vector or matrix.
Definition: Reverse.h:65
Eigen::Replicate
Expression of the multiple replication of a matrix or vector.
Definition: Replicate.h:63
Eigen::VectorwiseOp::operator*
EIGEN_STRONG_INLINE EIGEN_DEVICE_FUNC CwiseBinaryOp< internal::scalar_product_op< Scalar >, const ExpressionTypeNestedCleaned, const typename ExtendedType< OtherDerived >::Type > EIGEN_DEVICE_FUNC operator*(const DenseBase< OtherDerived > &other) const
Definition: VectorwiseOp.h:663
Eigen::internal::scalar_min_op
Definition: BinaryFunctors.h:139
Eigen::VectorwiseOp::reverse
EIGEN_DEVICE_FUNC ReverseReturnType reverse()
Definition: VectorwiseOp.h:549
Eigen::VectorwiseOp::operator/=
EIGEN_DEVICE_FUNC ExpressionType & operator/=(const DenseBase< OtherDerived > &other)
Definition: VectorwiseOp.h:622
Eigen::VectorwiseOp::stableNorm
EIGEN_DEVICE_FUNC const StableNormReturnType stableNorm() const
Definition: VectorwiseOp.h:457
Eigen::VectorwiseOp::prod
EIGEN_DEVICE_FUNC const ProdReturnType prod() const
Definition: VectorwiseOp.h:529
Eigen::VectorwiseOp::begin
iterator begin()
Definition: VectorwiseOp.h:291
Eigen::Vertical
@ Vertical
Definition: Constants.h:263
Eigen::internal::subvector_stl_iterator
Definition: StlIterators.h:311
Eigen::VectorwiseOp::rbegin
reverse_iterator rbegin()
Definition: VectorwiseOp.h:300
Eigen::VectorwiseOp::all
EIGEN_DEVICE_FUNC const AllReturnType all() const
Definition: VectorwiseOp.h:496
Eigen::VectorwiseOp::hypotNorm
EIGEN_DEVICE_FUNC const HypotNormReturnType hypotNorm() const
Definition: VectorwiseOp.h:468
Eigen::DenseBase::rowwise
EIGEN_DEVICE_FUNC ConstRowwiseReturnType rowwise() const
Definition: DenseBase.h:510
Eigen::internal::member_lpnorm
Definition: VectorwiseOp.h:120
Eigen::VectorwiseOp::crbegin
const_reverse_iterator crbegin() const
Definition: VectorwiseOp.h:304
Eigen::VectorwiseOp::crend
const_reverse_iterator crend() const
Definition: VectorwiseOp.h:322
Eigen::VectorwiseOp::minCoeff
EIGEN_DEVICE_FUNC const MinCoeffReturnType minCoeff() const
Definition: VectorwiseOp.h:376
Eigen::DenseBase::colwise
EIGEN_DEVICE_FUNC ConstColwiseReturnType colwise() const
Definition: DenseBase.h:522
Eigen::VectorwiseOp::normalized
EIGEN_DEVICE_FUNC CwiseBinaryOp< internal::scalar_quotient_op< Scalar >, const ExpressionTypeNestedCleaned, const typename OppositeExtendedType< NormReturnType >::Type > normalized() const
Definition: VectorwiseOp.h:694
Eigen::internal::traits
Definition: ForwardDeclarations.h:17
Eigen::VectorwiseOp::cross
EIGEN_DEVICE_FUNC const CrossReturnType cross(const MatrixBase< OtherDerived > &other) const
Definition: OrthoMethods.h:111
Eigen::VectorwiseOp::replicate
const Replicate< ExpressionType, isVertical *Factor+isHorizontal, isHorizontal *Factor+isVertical > EIGEN_DEVICE_FUNC replicate(Index factor=Factor) const
Definition: VectorwiseOp.h:568
Eigen::DenseBase
Base class for all dense matrices, vectors, and arrays.
Definition: DenseBase.h:47
Eigen::CwiseUnaryOp
Generic expression where a coefficient-wise unary operator is applied to an expression.
Definition: CwiseUnaryOp.h:56
Eigen::internal::subvector_stl_reverse_iterator
Definition: StlIterators.h:359
Eigen::VectorwiseOp::ReturnType
Definition: VectorwiseOp.h:198
Eigen::VectorwiseOp::operator*=
EIGEN_DEVICE_FUNC ExpressionType & operator*=(const DenseBase< OtherDerived > &other)
Definition: VectorwiseOp.h:610
Eigen::internal::member_redux
Definition: VectorwiseOp.h:132
Eigen::internal::result_of
Definition: Meta.h:458
Eigen::VectorwiseOp::redux
EIGEN_DEVICE_FUNC const ReduxReturnType< BinaryOp >::Type redux(const BinaryOp &func=BinaryOp()) const
Definition: VectorwiseOp.h:337
Eigen::VectorwiseOp::any
EIGEN_DEVICE_FUNC const AnyReturnType any() const
Definition: VectorwiseOp.h:505
Eigen::internal::scalar_max_op
Definition: BinaryFunctors.h:172
Eigen::internal::no_assignment_operator
Definition: XprHelper.h:110
Eigen::internal::functor_traits
Definition: XprHelper.h:172
Eigen::internal::scalar_sum_op
Definition: BinaryFunctors.h:33
Eigen::MatrixBase
Base class for all dense matrices, vectors, and expressions.
Definition: MatrixBase.h:50
Eigen::VectorwiseOp::squaredNorm
EIGEN_DEVICE_FUNC const SquaredNormReturnType squaredNorm() const
Definition: VectorwiseOp.h:410
Eigen::PartialReduxExpr
Generic expression of a partially reduxed matrix.
Definition: VectorwiseOp.h:58
Eigen::VectorwiseOp::cbegin
const_iterator cbegin() const
Definition: VectorwiseOp.h:295
Eigen::VectorwiseOp::end
const_iterator end() const
Definition: VectorwiseOp.h:311
Eigen::NumTraits
Holds information about the various numeric (i.e. scalar) types allowed by Eigen.
Definition: NumTraits.h:213
Eigen::VectorwiseOp::reverseInPlace
EIGEN_DEVICE_FUNC void reverseInPlace()
Definition: Reverse.h:208
Eigen::VectorwiseOp::normalize
EIGEN_DEVICE_FUNC void normalize()
Definition: VectorwiseOp.h:700
Eigen::VectorwiseOp::reverse
EIGEN_DEVICE_FUNC const ConstReverseReturnType reverse() const
Definition: VectorwiseOp.h:541
Eigen::partial_redux_dummy_func
Definition: VectorwiseOp.h:84
Eigen::VectorwiseOp::homogeneous
EIGEN_DEVICE_FUNC HomogeneousReturnType homogeneous() const
Definition: Homogeneous.h:148
Eigen::Index
EIGEN_DEFAULT_DENSE_INDEX_TYPE Index
The Index type as used for the API.
Definition: Meta.h:42
Eigen::VectorwiseOp::cend
const_iterator cend() const
Definition: VectorwiseOp.h:313
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