Eigen  3.2.10
 
Loading...
Searching...
No Matches
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
14namespace Eigen {
15
31
32template< typename MatrixType, typename MemberOp, int Direction>
33class PartialReduxExpr;
34
35namespace internal {
36template<typename MatrixType, typename MemberOp, int Direction>
37struct 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 typedef typename nested<MatrixType>::type MatrixTypeNested;
45 typedef typename remove_all<MatrixTypeNested>::type _MatrixTypeNested;
46 enum {
47 RowsAtCompileTime = Direction==Vertical ? 1 : MatrixType::RowsAtCompileTime,
48 ColsAtCompileTime = Direction==Horizontal ? 1 : MatrixType::ColsAtCompileTime,
49 MaxRowsAtCompileTime = Direction==Vertical ? 1 : MatrixType::MaxRowsAtCompileTime,
50 MaxColsAtCompileTime = Direction==Horizontal ? 1 : MatrixType::MaxColsAtCompileTime,
51 Flags0 = (unsigned int)_MatrixTypeNested::Flags & HereditaryBits,
52 Flags = (Flags0 & ~RowMajorBit) | (RowsAtCompileTime == 1 ? RowMajorBit : 0),
53 TraversalSize = Direction==Vertical ? MatrixType::RowsAtCompileTime : MatrixType::ColsAtCompileTime
54 };
55 #if EIGEN_GNUC_AT_LEAST(3,4)
56 typedef typename MemberOp::template Cost<InputScalar,int(TraversalSize)> CostOpType;
57 #else
58 typedef typename MemberOp::template Cost<InputScalar,TraversalSize> CostOpType;
59 #endif
60 enum {
61 CoeffReadCost = TraversalSize==Dynamic ? Dynamic
62 : TraversalSize * traits<_MatrixTypeNested>::CoeffReadCost + int(CostOpType::value)
63 };
64};
65}
66
67template< typename MatrixType, typename MemberOp, int Direction>
68class PartialReduxExpr : internal::no_assignment_operator,
69 public internal::dense_xpr_base< PartialReduxExpr<MatrixType, MemberOp, Direction> >::type
70{
71 public:
72
73 typedef typename internal::dense_xpr_base<PartialReduxExpr>::type Base;
74 EIGEN_DENSE_PUBLIC_INTERFACE(PartialReduxExpr)
75 typedef typename internal::traits<PartialReduxExpr>::MatrixTypeNested MatrixTypeNested;
76 typedef typename internal::traits<PartialReduxExpr>::_MatrixTypeNested _MatrixTypeNested;
77
78 PartialReduxExpr(const MatrixType& mat, const MemberOp& func = MemberOp())
79 : m_matrix(mat), m_functor(func) {}
80
81 Index rows() const { return (Direction==Vertical ? 1 : m_matrix.rows()); }
82 Index cols() const { return (Direction==Horizontal ? 1 : m_matrix.cols()); }
83
84 EIGEN_STRONG_INLINE const Scalar coeff(Index i, Index j) const
85 {
86 if (Direction==Vertical)
87 return m_functor(m_matrix.col(j));
88 else
89 return m_functor(m_matrix.row(i));
90 }
91
92 const Scalar coeff(Index index) const
93 {
94 if (Direction==Vertical)
95 return m_functor(m_matrix.col(index));
96 else
97 return m_functor(m_matrix.row(index));
98 }
99
100 protected:
101 MatrixTypeNested m_matrix;
102 const MemberOp m_functor;
103};
104
105#define EIGEN_MEMBER_FUNCTOR(MEMBER,COST) \
106 template <typename ResultType> \
107 struct member_##MEMBER { \
108 EIGEN_EMPTY_STRUCT_CTOR(member_##MEMBER) \
109 typedef ResultType result_type; \
110 template<typename Scalar, int Size> struct Cost \
111 { enum { value = COST }; }; \
112 template<typename XprType> \
113 EIGEN_STRONG_INLINE ResultType operator()(const XprType& mat) const \
114 { return mat.MEMBER(); } \
115 }
116
117namespace internal {
118
119EIGEN_MEMBER_FUNCTOR(squaredNorm, Size * NumTraits<Scalar>::MulCost + (Size-1)*NumTraits<Scalar>::AddCost);
120EIGEN_MEMBER_FUNCTOR(norm, (Size+5) * NumTraits<Scalar>::MulCost + (Size-1)*NumTraits<Scalar>::AddCost);
121EIGEN_MEMBER_FUNCTOR(stableNorm, (Size+5) * NumTraits<Scalar>::MulCost + (Size-1)*NumTraits<Scalar>::AddCost);
122EIGEN_MEMBER_FUNCTOR(blueNorm, (Size+5) * NumTraits<Scalar>::MulCost + (Size-1)*NumTraits<Scalar>::AddCost);
123EIGEN_MEMBER_FUNCTOR(hypotNorm, (Size-1) * functor_traits<scalar_hypot_op<Scalar> >::Cost );
124EIGEN_MEMBER_FUNCTOR(sum, (Size-1)*NumTraits<Scalar>::AddCost);
125EIGEN_MEMBER_FUNCTOR(mean, (Size-1)*NumTraits<Scalar>::AddCost + NumTraits<Scalar>::MulCost);
126EIGEN_MEMBER_FUNCTOR(minCoeff, (Size-1)*NumTraits<Scalar>::AddCost);
127EIGEN_MEMBER_FUNCTOR(maxCoeff, (Size-1)*NumTraits<Scalar>::AddCost);
128EIGEN_MEMBER_FUNCTOR(all, (Size-1)*NumTraits<Scalar>::AddCost);
129EIGEN_MEMBER_FUNCTOR(any, (Size-1)*NumTraits<Scalar>::AddCost);
130EIGEN_MEMBER_FUNCTOR(count, (Size-1)*NumTraits<Scalar>::AddCost);
131EIGEN_MEMBER_FUNCTOR(prod, (Size-1)*NumTraits<Scalar>::MulCost);
132
133
134template <typename BinaryOp, typename Scalar>
135struct member_redux {
136 typedef typename result_of<
137 BinaryOp(Scalar)
138 >::type result_type;
139 template<typename _Scalar, int Size> struct Cost
140 { enum { value = (Size-1) * functor_traits<BinaryOp>::Cost }; };
141 member_redux(const BinaryOp func) : m_functor(func) {}
142 template<typename Derived>
143 inline result_type operator()(const DenseBase<Derived>& mat) const
144 { return mat.redux(m_functor); }
145 const BinaryOp m_functor;
146};
147}
148
166template<typename ExpressionType, int Direction> class VectorwiseOp
167{
168 public:
169
170 typedef typename ExpressionType::Scalar Scalar;
171 typedef typename ExpressionType::RealScalar RealScalar;
172 typedef typename ExpressionType::Index Index;
173 typedef typename internal::conditional<internal::must_nest_by_value<ExpressionType>::ret,
174 ExpressionType, ExpressionType&>::type ExpressionTypeNested;
175 typedef typename internal::remove_all<ExpressionTypeNested>::type ExpressionTypeNestedCleaned;
176
177 template<template<typename _Scalar> class Functor,
178 typename Scalar=typename internal::traits<ExpressionType>::Scalar> struct ReturnType
179 {
180 typedef PartialReduxExpr<ExpressionType,
181 Functor<Scalar>,
182 Direction
183 > Type;
184 };
185
186 template<typename BinaryOp> struct ReduxReturnType
187 {
188 typedef PartialReduxExpr<ExpressionType,
189 internal::member_redux<BinaryOp,typename internal::traits<ExpressionType>::Scalar>,
190 Direction
191 > Type;
192 };
193
194 enum {
195 IsVertical = (Direction==Vertical) ? 1 : 0,
196 IsHorizontal = (Direction==Horizontal) ? 1 : 0
197 };
198
199 protected:
200
203 typedef typename internal::conditional<Direction==Vertical,
204 typename ExpressionType::ColXpr,
205 typename ExpressionType::RowXpr>::type SubVector;
206 SubVector subVector(Index i)
207 {
208 return SubVector(m_matrix.derived(),i);
209 }
210
213 Index subVectors() const
214 { return Direction==Vertical?m_matrix.cols():m_matrix.rows(); }
215
216 template<typename OtherDerived> struct ExtendedType {
217 typedef Replicate<OtherDerived,
218 Direction==Vertical ? 1 : ExpressionType::RowsAtCompileTime,
219 Direction==Horizontal ? 1 : ExpressionType::ColsAtCompileTime> Type;
220 };
221
224 template<typename OtherDerived>
225 typename ExtendedType<OtherDerived>::Type
226 extendedTo(const DenseBase<OtherDerived>& other) const
227 {
228 EIGEN_STATIC_ASSERT(EIGEN_IMPLIES(Direction==Vertical, OtherDerived::MaxColsAtCompileTime==1),
229 YOU_PASSED_A_ROW_VECTOR_BUT_A_COLUMN_VECTOR_WAS_EXPECTED)
230 EIGEN_STATIC_ASSERT(EIGEN_IMPLIES(Direction==Horizontal, OtherDerived::MaxRowsAtCompileTime==1),
231 YOU_PASSED_A_COLUMN_VECTOR_BUT_A_ROW_VECTOR_WAS_EXPECTED)
232 return typename ExtendedType<OtherDerived>::Type
233 (other.derived(),
234 Direction==Vertical ? 1 : m_matrix.rows(),
235 Direction==Horizontal ? 1 : m_matrix.cols());
236 }
237
238 template<typename OtherDerived> struct OppositeExtendedType {
239 typedef Replicate<OtherDerived,
240 Direction==Horizontal ? 1 : ExpressionType::RowsAtCompileTime,
241 Direction==Vertical ? 1 : ExpressionType::ColsAtCompileTime> Type;
242 };
243
246 template<typename OtherDerived>
247 typename OppositeExtendedType<OtherDerived>::Type
248 extendedToOpposite(const DenseBase<OtherDerived>& other) const
249 {
250 EIGEN_STATIC_ASSERT(EIGEN_IMPLIES(Direction==Horizontal, OtherDerived::MaxColsAtCompileTime==1),
251 YOU_PASSED_A_ROW_VECTOR_BUT_A_COLUMN_VECTOR_WAS_EXPECTED)
252 EIGEN_STATIC_ASSERT(EIGEN_IMPLIES(Direction==Vertical, OtherDerived::MaxRowsAtCompileTime==1),
253 YOU_PASSED_A_COLUMN_VECTOR_BUT_A_ROW_VECTOR_WAS_EXPECTED)
254 return typename OppositeExtendedType<OtherDerived>::Type
255 (other.derived(),
256 Direction==Horizontal ? 1 : m_matrix.rows(),
257 Direction==Vertical ? 1 : m_matrix.cols());
258 }
259
260 public:
261
262 inline VectorwiseOp(ExpressionType& matrix) : m_matrix(matrix) {}
263
265 inline const ExpressionType& _expression() const { return m_matrix; }
266
274 template<typename BinaryOp>
275 const typename ReduxReturnType<BinaryOp>::Type
276 redux(const BinaryOp& func = BinaryOp()) const
277 { return typename ReduxReturnType<BinaryOp>::Type(_expression(), func); }
278
288 const typename ReturnType<internal::member_minCoeff>::Type minCoeff() const
289 { return _expression(); }
290
300 const typename ReturnType<internal::member_maxCoeff>::Type maxCoeff() const
301 { return _expression(); }
302
310 const typename ReturnType<internal::member_squaredNorm,RealScalar>::Type squaredNorm() const
311 { return _expression(); }
312
320 const typename ReturnType<internal::member_norm,RealScalar>::Type norm() const
321 { return _expression(); }
322
323
329 const typename ReturnType<internal::member_blueNorm,RealScalar>::Type blueNorm() const
330 { return _expression(); }
331
332
338 const typename ReturnType<internal::member_stableNorm,RealScalar>::Type stableNorm() const
339 { return _expression(); }
340
341
347 const typename ReturnType<internal::member_hypotNorm,RealScalar>::Type hypotNorm() const
348 { return _expression(); }
349
357 const typename ReturnType<internal::member_sum>::Type sum() const
358 { return _expression(); }
359
364 const typename ReturnType<internal::member_mean>::Type mean() const
365 { return _expression(); }
366
371 const typename ReturnType<internal::member_all>::Type all() const
372 { return _expression(); }
373
378 const typename ReturnType<internal::member_any>::Type any() const
379 { return _expression(); }
380
388 const PartialReduxExpr<ExpressionType, internal::member_count<Index>, Direction> count() const
389 { return _expression(); }
390
398 const typename ReturnType<internal::member_prod>::Type prod() const
399 { return _expression(); }
400
401
411
412 typedef Replicate<ExpressionType,Direction==Vertical?Dynamic:1,Direction==Horizontal?Dynamic:1> ReplicateReturnType;
413 const ReplicateReturnType replicate(Index factor) const;
414
423 // NOTE implemented here because of sunstudio's compilation errors
424 template<int Factor> const Replicate<ExpressionType,(IsVertical?Factor:1),(IsHorizontal?Factor:1)>
425 replicate(Index factor = Factor) const
426 {
427 return Replicate<ExpressionType,Direction==Vertical?Factor:1,Direction==Horizontal?Factor:1>
428 (_expression(),Direction==Vertical?factor:1,Direction==Horizontal?factor:1);
429 }
430
432
434 template<typename OtherDerived>
435 ExpressionType& operator=(const DenseBase<OtherDerived>& other)
436 {
437 EIGEN_STATIC_ASSERT_VECTOR_ONLY(OtherDerived)
438 EIGEN_STATIC_ASSERT_SAME_XPR_KIND(ExpressionType, OtherDerived)
439 //eigen_assert((m_matrix.isNull()) == (other.isNull())); FIXME
440 return const_cast<ExpressionType&>(m_matrix = extendedTo(other.derived()));
441 }
442
444 template<typename OtherDerived>
445 ExpressionType& operator+=(const DenseBase<OtherDerived>& other)
446 {
447 EIGEN_STATIC_ASSERT_VECTOR_ONLY(OtherDerived)
448 EIGEN_STATIC_ASSERT_SAME_XPR_KIND(ExpressionType, OtherDerived)
449 return const_cast<ExpressionType&>(m_matrix += extendedTo(other.derived()));
450 }
451
453 template<typename OtherDerived>
454 ExpressionType& operator-=(const DenseBase<OtherDerived>& other)
455 {
456 EIGEN_STATIC_ASSERT_VECTOR_ONLY(OtherDerived)
457 EIGEN_STATIC_ASSERT_SAME_XPR_KIND(ExpressionType, OtherDerived)
458 return const_cast<ExpressionType&>(m_matrix -= extendedTo(other.derived()));
459 }
460
462 template<typename OtherDerived>
463 ExpressionType& operator*=(const DenseBase<OtherDerived>& other)
464 {
465 EIGEN_STATIC_ASSERT_VECTOR_ONLY(OtherDerived)
466 EIGEN_STATIC_ASSERT_ARRAYXPR(ExpressionType)
467 EIGEN_STATIC_ASSERT_SAME_XPR_KIND(ExpressionType, OtherDerived)
468 m_matrix *= extendedTo(other.derived());
469 return const_cast<ExpressionType&>(m_matrix);
470 }
471
473 template<typename OtherDerived>
474 ExpressionType& operator/=(const DenseBase<OtherDerived>& other)
475 {
476 EIGEN_STATIC_ASSERT_VECTOR_ONLY(OtherDerived)
477 EIGEN_STATIC_ASSERT_ARRAYXPR(ExpressionType)
478 EIGEN_STATIC_ASSERT_SAME_XPR_KIND(ExpressionType, OtherDerived)
479 m_matrix /= extendedTo(other.derived());
480 return const_cast<ExpressionType&>(m_matrix);
481 }
482
484 template<typename OtherDerived> EIGEN_STRONG_INLINE
485 CwiseBinaryOp<internal::scalar_sum_op<Scalar>,
486 const ExpressionTypeNestedCleaned,
487 const typename ExtendedType<OtherDerived>::Type>
488 operator+(const DenseBase<OtherDerived>& other) const
489 {
490 EIGEN_STATIC_ASSERT_VECTOR_ONLY(OtherDerived)
491 EIGEN_STATIC_ASSERT_SAME_XPR_KIND(ExpressionType, OtherDerived)
492 return m_matrix + extendedTo(other.derived());
493 }
494
496 template<typename OtherDerived>
497 CwiseBinaryOp<internal::scalar_difference_op<Scalar>,
498 const ExpressionTypeNestedCleaned,
499 const typename ExtendedType<OtherDerived>::Type>
500 operator-(const DenseBase<OtherDerived>& other) const
501 {
502 EIGEN_STATIC_ASSERT_VECTOR_ONLY(OtherDerived)
503 EIGEN_STATIC_ASSERT_SAME_XPR_KIND(ExpressionType, OtherDerived)
504 return m_matrix - extendedTo(other.derived());
505 }
506
509 template<typename OtherDerived> EIGEN_STRONG_INLINE
510 CwiseBinaryOp<internal::scalar_product_op<Scalar>,
511 const ExpressionTypeNestedCleaned,
512 const typename ExtendedType<OtherDerived>::Type>
513 operator*(const DenseBase<OtherDerived>& other) const
514 {
515 EIGEN_STATIC_ASSERT_VECTOR_ONLY(OtherDerived)
516 EIGEN_STATIC_ASSERT_ARRAYXPR(ExpressionType)
517 EIGEN_STATIC_ASSERT_SAME_XPR_KIND(ExpressionType, OtherDerived)
518 return m_matrix * extendedTo(other.derived());
519 }
520
523 template<typename OtherDerived>
524 CwiseBinaryOp<internal::scalar_quotient_op<Scalar>,
525 const ExpressionTypeNestedCleaned,
526 const typename ExtendedType<OtherDerived>::Type>
527 operator/(const DenseBase<OtherDerived>& other) const
528 {
529 EIGEN_STATIC_ASSERT_VECTOR_ONLY(OtherDerived)
530 EIGEN_STATIC_ASSERT_ARRAYXPR(ExpressionType)
531 EIGEN_STATIC_ASSERT_SAME_XPR_KIND(ExpressionType, OtherDerived)
532 return m_matrix / extendedTo(other.derived());
533 }
534
539 CwiseBinaryOp<internal::scalar_quotient_op<Scalar>,
540 const ExpressionTypeNestedCleaned,
541 const typename OppositeExtendedType<typename ReturnType<internal::member_norm,RealScalar>::Type>::Type>
542 normalized() const { return m_matrix.cwiseQuotient(extendedToOpposite(this->norm())); }
543
544
548 void normalize() {
549 m_matrix = this->normalized();
550 }
551
553
554 #if EIGEN2_SUPPORT_STAGE > STAGE20_RESOLVE_API_CONFLICTS
555 Homogeneous<ExpressionType,Direction> homogeneous() const;
556 #endif
557
558 typedef typename ExpressionType::PlainObject CrossReturnType;
559 template<typename OtherDerived>
560 const CrossReturnType cross(const MatrixBase<OtherDerived>& other) const;
561
562 enum {
563 HNormalized_Size = Direction==Vertical ? internal::traits<ExpressionType>::RowsAtCompileTime
564 : internal::traits<ExpressionType>::ColsAtCompileTime,
565 HNormalized_SizeMinusOne = HNormalized_Size==Dynamic ? Dynamic : HNormalized_Size-1
566 };
567 typedef Block<const ExpressionType,
568 Direction==Vertical ? int(HNormalized_SizeMinusOne)
569 : int(internal::traits<ExpressionType>::RowsAtCompileTime),
570 Direction==Horizontal ? int(HNormalized_SizeMinusOne)
571 : int(internal::traits<ExpressionType>::ColsAtCompileTime)>
572 HNormalized_Block;
573 typedef Block<const ExpressionType,
574 Direction==Vertical ? 1 : int(internal::traits<ExpressionType>::RowsAtCompileTime),
575 Direction==Horizontal ? 1 : int(internal::traits<ExpressionType>::ColsAtCompileTime)>
576 HNormalized_Factors;
577 typedef CwiseBinaryOp<internal::scalar_quotient_op<typename internal::traits<ExpressionType>::Scalar>,
578 const HNormalized_Block,
579 const Replicate<HNormalized_Factors,
580 Direction==Vertical ? HNormalized_SizeMinusOne : 1,
581 Direction==Horizontal ? HNormalized_SizeMinusOne : 1> >
582 HNormalizedReturnType;
583
584 const HNormalizedReturnType hnormalized() const;
585
586 protected:
587 ExpressionTypeNested m_matrix;
588};
589
597template<typename Derived>
598inline const typename DenseBase<Derived>::ConstColwiseReturnType
599DenseBase<Derived>::colwise() const
600{
601 return derived();
602}
603
608template<typename Derived>
609inline typename DenseBase<Derived>::ColwiseReturnType
610DenseBase<Derived>::colwise()
611{
612 return derived();
613}
614
622template<typename Derived>
623inline const typename DenseBase<Derived>::ConstRowwiseReturnType
624DenseBase<Derived>::rowwise() const
625{
626 return derived();
627}
628
633template<typename Derived>
634inline typename DenseBase<Derived>::RowwiseReturnType
635DenseBase<Derived>::rowwise()
636{
637 return derived();
638}
639
640} // end namespace Eigen
641
642#endif // EIGEN_PARTIAL_REDUX_H
Eigen::Block
Expression of a fixed-size or dynamic-size block.
Definition Block.h:104
Eigen::CwiseBinaryOp
Generic expression where a coefficient-wise binary operator is applied to two expressions.
Definition CwiseBinaryOp.h:112
Eigen::DenseBase
Base class for all dense matrices, vectors, and arrays.
Definition DenseBase.h:49
Eigen::DenseBase::colwise
ConstColwiseReturnType colwise() const
Definition VectorwiseOp.h:599
Eigen::DenseBase::rowwise
ConstRowwiseReturnType rowwise() const
Definition VectorwiseOp.h:624
Eigen::Homogeneous
Expression of one (or a set of) homogeneous vector(s)
Definition Homogeneous.h:63
Eigen::MatrixBase
Base class for all dense matrices, vectors, and expressions.
Definition MatrixBase.h:50
Eigen::PartialReduxExpr
Generic expression of a partially reduxed matrix.
Definition VectorwiseOp.h:70
Eigen::Replicate
Expression of the multiple replication of a matrix or vector.
Definition Replicate.h:64
Eigen::Reverse
Expression of the reverse of a vector or matrix.
Definition Reverse.h:72
Eigen::VectorwiseOp::count
const PartialReduxExpr< ExpressionType, internal::member_count< Index >, Direction > count() const
Definition VectorwiseOp.h:388
Eigen::VectorwiseOp::reverse
const Reverse< ExpressionType, Direction > reverse() const
Definition VectorwiseOp.h:409
Eigen::VectorwiseOp::mean
const ReturnType< internal::member_mean >::Type mean() const
Definition VectorwiseOp.h:364
Eigen::VectorwiseOp::normalized
CwiseBinaryOp< internal::scalar_quotient_op< Scalar >, const ExpressionTypeNestedCleaned, const typename OppositeExtendedType< typename ReturnType< internal::member_norm, RealScalar >::Type >::Type > normalized() const
Definition VectorwiseOp.h:542
Eigen::VectorwiseOp::any
const ReturnType< internal::member_any >::Type any() const
Definition VectorwiseOp.h:378
Eigen::VectorwiseOp::blueNorm
const ReturnType< internal::member_blueNorm, RealScalar >::Type blueNorm() const
Definition VectorwiseOp.h:329
Eigen::VectorwiseOp::operator-=
ExpressionType & operator-=(const DenseBase< OtherDerived > &other)
Definition VectorwiseOp.h:454
Eigen::VectorwiseOp::sum
const ReturnType< internal::member_sum >::Type sum() const
Definition VectorwiseOp.h:357
Eigen::VectorwiseOp::operator=
ExpressionType & operator=(const DenseBase< OtherDerived > &other)
Definition VectorwiseOp.h:435
Eigen::VectorwiseOp::prod
const ReturnType< internal::member_prod >::Type prod() const
Definition VectorwiseOp.h:398
Eigen::VectorwiseOp::homogeneous
Homogeneous< ExpressionType, Direction > homogeneous() const
Definition Homogeneous.h:143
Eigen::VectorwiseOp::norm
const ReturnType< internal::member_norm, RealScalar >::Type norm() const
Definition VectorwiseOp.h:320
Eigen::VectorwiseOp::operator/
CwiseBinaryOp< internal::scalar_quotient_op< Scalar >, const ExpressionTypeNestedCleaned, const typename ExtendedType< OtherDerived >::Type > operator/(const DenseBase< OtherDerived > &other) const
Definition VectorwiseOp.h:527
Eigen::VectorwiseOp::maxCoeff
const ReturnType< internal::member_maxCoeff >::Type maxCoeff() const
Definition VectorwiseOp.h:300
Eigen::VectorwiseOp::hnormalized
const HNormalizedReturnType hnormalized() const
Definition Homogeneous.h:176
Eigen::VectorwiseOp::redux
const ReduxReturnType< BinaryOp >::Type redux(const BinaryOp &func=BinaryOp()) const
Definition VectorwiseOp.h:276
Eigen::VectorwiseOp::minCoeff
const ReturnType< internal::member_minCoeff >::Type minCoeff() const
Definition VectorwiseOp.h:288
Eigen::VectorwiseOp::operator/=
ExpressionType & operator/=(const DenseBase< OtherDerived > &other)
Definition VectorwiseOp.h:474
Eigen::VectorwiseOp::operator*
CwiseBinaryOp< internal::scalar_product_op< Scalar >, const ExpressionTypeNestedCleaned, const typename ExtendedType< OtherDerived >::Type > operator*(const DenseBase< OtherDerived > &other) const
Definition VectorwiseOp.h:513
Eigen::VectorwiseOp::cross
const CrossReturnType cross(const MatrixBase< OtherDerived > &other) const
Definition OrthoMethods.h:101
Eigen::VectorwiseOp::operator*=
ExpressionType & operator*=(const DenseBase< OtherDerived > &other)
Definition VectorwiseOp.h:463
Eigen::VectorwiseOp::squaredNorm
const ReturnType< internal::member_squaredNorm, RealScalar >::Type squaredNorm() const
Definition VectorwiseOp.h:310
Eigen::VectorwiseOp::operator-
CwiseBinaryOp< internal::scalar_difference_op< Scalar >, const ExpressionTypeNestedCleaned, const typename ExtendedType< OtherDerived >::Type > operator-(const DenseBase< OtherDerived > &other) const
Definition VectorwiseOp.h:500
Eigen::VectorwiseOp::normalize
void normalize()
Definition VectorwiseOp.h:548
Eigen::VectorwiseOp::replicate
const Replicate< ExpressionType,(IsVertical?Factor:1),(IsHorizontal?Factor:1)> replicate(Index factor=Factor) const
Definition VectorwiseOp.h:425
Eigen::VectorwiseOp::replicate
const ReplicateReturnType replicate(Index factor) const
Definition Replicate.h:169
Eigen::VectorwiseOp::operator+
CwiseBinaryOp< internal::scalar_sum_op< Scalar >, const ExpressionTypeNestedCleaned, const typename ExtendedType< OtherDerived >::Type > operator+(const DenseBase< OtherDerived > &other) const
Definition VectorwiseOp.h:488
Eigen::VectorwiseOp::all
const ReturnType< internal::member_all >::Type all() const
Definition VectorwiseOp.h:371
Eigen::VectorwiseOp::stableNorm
const ReturnType< internal::member_stableNorm, RealScalar >::Type stableNorm() const
Definition VectorwiseOp.h:338
Eigen::VectorwiseOp::hypotNorm
const ReturnType< internal::member_hypotNorm, RealScalar >::Type hypotNorm() const
Definition VectorwiseOp.h:347
Eigen::Vertical
@ Vertical
Definition Constants.h:209
Eigen::Horizontal
@ Horizontal
Definition Constants.h:212
Eigen::RowMajorBit
const unsigned int RowMajorBit
Definition Constants.h:53
Eigen::internal
Definition LDLT.h:18