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