DenseBase.h
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1 // This file is part of Eigen, a lightweight C++ template library
2 // for linear algebra.
3 //
4 // Copyright (C) 2007-2010 Benoit Jacob <jacob.benoit.1@gmail.com>
5 // Copyright (C) 2008-2010 Gael Guennebaud <gael.guennebaud@inria.fr>
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_DENSEBASE_H
12 #define EIGEN_DENSEBASE_H
13 
14 namespace Eigen {
15 
16 namespace internal {
17 
18 // The index type defined by EIGEN_DEFAULT_DENSE_INDEX_TYPE must be a signed type.
19 // This dummy function simply aims at checking that at compile time.
20 static inline void check_DenseIndex_is_signed() {
21  EIGEN_STATIC_ASSERT(NumTraits<DenseIndex>::IsSigned,THE_INDEX_TYPE_MUST_BE_A_SIGNED_TYPE)
22 }
23 
24 } // end namespace internal
25 
41 template<typename Derived> class DenseBase
42 #ifndef EIGEN_PARSED_BY_DOXYGEN
43  : public DenseCoeffsBase<Derived, internal::accessors_level<Derived>::value>
44 #else
45  : public DenseCoeffsBase<Derived,DirectWriteAccessors>
46 #endif // not EIGEN_PARSED_BY_DOXYGEN
47 {
48  public:
49 
53  typedef Eigen::InnerIterator<Derived> InnerIterator;
54 
55  typedef typename internal::traits<Derived>::StorageKind StorageKind;
56 
63  typedef typename internal::traits<Derived>::StorageIndex StorageIndex;
64 
66  typedef typename internal::traits<Derived>::Scalar Scalar;
67 
71  typedef Scalar value_type;
72 
73  typedef typename NumTraits<Scalar>::Real RealScalar;
74  typedef DenseCoeffsBase<Derived, internal::accessors_level<Derived>::value> Base;
75 
76  using Base::derived;
77  using Base::const_cast_derived;
78  using Base::rows;
79  using Base::cols;
80  using Base::size;
81  using Base::rowIndexByOuterInner;
82  using Base::colIndexByOuterInner;
83  using Base::coeff;
84  using Base::coeffByOuterInner;
85  using Base::operator();
86  using Base::operator[];
87  using Base::x;
88  using Base::y;
89  using Base::z;
90  using Base::w;
91  using Base::stride;
92  using Base::innerStride;
93  using Base::outerStride;
94  using Base::rowStride;
95  using Base::colStride;
96  typedef typename Base::CoeffReturnType CoeffReturnType;
97 
98  enum {
99 
100  RowsAtCompileTime = internal::traits<Derived>::RowsAtCompileTime,
106  ColsAtCompileTime = internal::traits<Derived>::ColsAtCompileTime,
113  SizeAtCompileTime = (internal::size_at_compile_time<internal::traits<Derived>::RowsAtCompileTime,
114  internal::traits<Derived>::ColsAtCompileTime>::ret),
119  MaxRowsAtCompileTime = internal::traits<Derived>::MaxRowsAtCompileTime,
130  MaxColsAtCompileTime = internal::traits<Derived>::MaxColsAtCompileTime,
141  MaxSizeAtCompileTime = (internal::size_at_compile_time<internal::traits<Derived>::MaxRowsAtCompileTime,
142  internal::traits<Derived>::MaxColsAtCompileTime>::ret),
153  IsVectorAtCompileTime = internal::traits<Derived>::RowsAtCompileTime == 1
154  || internal::traits<Derived>::ColsAtCompileTime == 1,
160  NumDimensions = int(MaxSizeAtCompileTime) == 1 ? 0 : bool(IsVectorAtCompileTime) ? 1 : 2,
165  Flags = internal::traits<Derived>::Flags,
170  IsRowMajor = int(Flags) & RowMajorBit,
172  InnerSizeAtCompileTime = int(IsVectorAtCompileTime) ? int(SizeAtCompileTime)
173  : int(IsRowMajor) ? int(ColsAtCompileTime) : int(RowsAtCompileTime),
174 
175  InnerStrideAtCompileTime = internal::inner_stride_at_compile_time<Derived>::ret,
176  OuterStrideAtCompileTime = internal::outer_stride_at_compile_time<Derived>::ret
177  };
178 
179  typedef typename internal::find_best_packet<Scalar,SizeAtCompileTime>::type PacketScalar;
180 
181  enum { IsPlainObjectBase = 0 };
182 
185  typedef Matrix<typename internal::traits<Derived>::Scalar,
186  internal::traits<Derived>::RowsAtCompileTime,
187  internal::traits<Derived>::ColsAtCompileTime,
188  AutoAlign | (internal::traits<Derived>::Flags&RowMajorBit ? RowMajor : ColMajor),
189  internal::traits<Derived>::MaxRowsAtCompileTime,
190  internal::traits<Derived>::MaxColsAtCompileTime
191  > PlainMatrix;
192 
195  typedef Array<typename internal::traits<Derived>::Scalar,
196  internal::traits<Derived>::RowsAtCompileTime,
197  internal::traits<Derived>::ColsAtCompileTime,
198  AutoAlign | (internal::traits<Derived>::Flags&RowMajorBit ? RowMajor : ColMajor),
199  internal::traits<Derived>::MaxRowsAtCompileTime,
200  internal::traits<Derived>::MaxColsAtCompileTime
201  > PlainArray;
202 
209  typedef typename internal::conditional<internal::is_same<typename internal::traits<Derived>::XprKind,MatrixXpr >::value,
210  PlainMatrix, PlainArray>::type PlainObject;
211 
214  EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR
215  inline Index nonZeros() const { return size(); }
216 
222  EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR
223  Index outerSize() const
224  {
225  return IsVectorAtCompileTime ? 1
226  : int(IsRowMajor) ? this->rows() : this->cols();
227  }
228 
234  EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR
235  Index innerSize() const
236  {
237  return IsVectorAtCompileTime ? this->size()
238  : int(IsRowMajor) ? this->cols() : this->rows();
239  }
240 
245  EIGEN_DEVICE_FUNC
246  void resize(Index newSize)
247  {
248  EIGEN_ONLY_USED_FOR_DEBUG(newSize);
249  eigen_assert(newSize == this->size()
250  && "DenseBase::resize() does not actually allow to resize.");
251  }
256  EIGEN_DEVICE_FUNC
257  void resize(Index rows, Index cols)
258  {
259  EIGEN_ONLY_USED_FOR_DEBUG(rows);
260  EIGEN_ONLY_USED_FOR_DEBUG(cols);
261  eigen_assert(rows == this->rows() && cols == this->cols()
262  && "DenseBase::resize() does not actually allow to resize.");
263  }
264 
265 #ifndef EIGEN_PARSED_BY_DOXYGEN
266 
267  typedef CwiseNullaryOp<internal::scalar_constant_op<Scalar>,PlainObject> ConstantReturnType;
269  EIGEN_DEPRECATED typedef CwiseNullaryOp<internal::linspaced_op<Scalar>,PlainObject> SequentialLinSpacedReturnType;
271  typedef CwiseNullaryOp<internal::linspaced_op<Scalar>,PlainObject> RandomAccessLinSpacedReturnType;
273  typedef Matrix<typename NumTraits<typename internal::traits<Derived>::Scalar>::Real, internal::traits<Derived>::ColsAtCompileTime, 1> EigenvaluesReturnType;
274 
275 #endif // not EIGEN_PARSED_BY_DOXYGEN
276 
278  template<typename OtherDerived>
279  EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
280  Derived& operator=(const DenseBase<OtherDerived>& other);
281 
285  EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
286  Derived& operator=(const DenseBase& other);
287 
288  template<typename OtherDerived>
289  EIGEN_DEVICE_FUNC
290  Derived& operator=(const EigenBase<OtherDerived> &other);
291 
292  template<typename OtherDerived>
293  EIGEN_DEVICE_FUNC
294  Derived& operator+=(const EigenBase<OtherDerived> &other);
295 
296  template<typename OtherDerived>
297  EIGEN_DEVICE_FUNC
298  Derived& operator-=(const EigenBase<OtherDerived> &other);
299 
300  template<typename OtherDerived>
301  EIGEN_DEVICE_FUNC
302  Derived& operator=(const ReturnByValue<OtherDerived>& func);
303 
306  template<typename OtherDerived>
308  EIGEN_DEPRECATED EIGEN_DEVICE_FUNC
309  Derived& lazyAssign(const DenseBase<OtherDerived>& other);
310 
311  EIGEN_DEVICE_FUNC
312  CommaInitializer<Derived> operator<< (const Scalar& s);
313 
314  template<unsigned int Added,unsigned int Removed>
316  EIGEN_DEPRECATED
317  const Derived& flagged() const
318  { return derived(); }
319 
320  template<typename OtherDerived>
321  EIGEN_DEVICE_FUNC
322  CommaInitializer<Derived> operator<< (const DenseBase<OtherDerived>& other);
323 
324  typedef Transpose<Derived> TransposeReturnType;
325  EIGEN_DEVICE_FUNC
326  TransposeReturnType transpose();
327  typedef typename internal::add_const<Transpose<const Derived> >::type ConstTransposeReturnType;
328  EIGEN_DEVICE_FUNC
329  ConstTransposeReturnType transpose() const;
330  EIGEN_DEVICE_FUNC
331  void transposeInPlace();
332 
333  EIGEN_DEVICE_FUNC static const ConstantReturnType
334  Constant(Index rows, Index cols, const Scalar& value);
335  EIGEN_DEVICE_FUNC static const ConstantReturnType
336  Constant(Index size, const Scalar& value);
337  EIGEN_DEVICE_FUNC static const ConstantReturnType
338  Constant(const Scalar& value);
339 
340  EIGEN_DEPRECATED EIGEN_DEVICE_FUNC static const RandomAccessLinSpacedReturnType
341  LinSpaced(Sequential_t, Index size, const Scalar& low, const Scalar& high);
342  EIGEN_DEPRECATED EIGEN_DEVICE_FUNC static const RandomAccessLinSpacedReturnType
343  LinSpaced(Sequential_t, const Scalar& low, const Scalar& high);
344 
345  EIGEN_DEVICE_FUNC static const RandomAccessLinSpacedReturnType
346  LinSpaced(Index size, const Scalar& low, const Scalar& high);
347  EIGEN_DEVICE_FUNC static const RandomAccessLinSpacedReturnType
348  LinSpaced(const Scalar& low, const Scalar& high);
349 
350  template<typename CustomNullaryOp> EIGEN_DEVICE_FUNC
351  static const CwiseNullaryOp<CustomNullaryOp, PlainObject>
352  NullaryExpr(Index rows, Index cols, const CustomNullaryOp& func);
353  template<typename CustomNullaryOp> EIGEN_DEVICE_FUNC
354  static const CwiseNullaryOp<CustomNullaryOp, PlainObject>
355  NullaryExpr(Index size, const CustomNullaryOp& func);
356  template<typename CustomNullaryOp> EIGEN_DEVICE_FUNC
357  static const CwiseNullaryOp<CustomNullaryOp, PlainObject>
358  NullaryExpr(const CustomNullaryOp& func);
359 
360  EIGEN_DEVICE_FUNC static const ConstantReturnType Zero(Index rows, Index cols);
361  EIGEN_DEVICE_FUNC static const ConstantReturnType Zero(Index size);
362  EIGEN_DEVICE_FUNC static const ConstantReturnType Zero();
363  EIGEN_DEVICE_FUNC static const ConstantReturnType Ones(Index rows, Index cols);
364  EIGEN_DEVICE_FUNC static const ConstantReturnType Ones(Index size);
365  EIGEN_DEVICE_FUNC static const ConstantReturnType Ones();
366 
367  EIGEN_DEVICE_FUNC void fill(const Scalar& value);
368  EIGEN_DEVICE_FUNC Derived& setConstant(const Scalar& value);
369  EIGEN_DEVICE_FUNC Derived& setLinSpaced(Index size, const Scalar& low, const Scalar& high);
370  EIGEN_DEVICE_FUNC Derived& setLinSpaced(const Scalar& low, const Scalar& high);
371  EIGEN_DEVICE_FUNC Derived& setZero();
372  EIGEN_DEVICE_FUNC Derived& setOnes();
373  EIGEN_DEVICE_FUNC Derived& setRandom();
374 
375  template<typename OtherDerived> EIGEN_DEVICE_FUNC
376  bool isApprox(const DenseBase<OtherDerived>& other,
377  const RealScalar& prec = NumTraits<Scalar>::dummy_precision()) const;
378  EIGEN_DEVICE_FUNC
379  bool isMuchSmallerThan(const RealScalar& other,
380  const RealScalar& prec = NumTraits<Scalar>::dummy_precision()) const;
381  template<typename OtherDerived> EIGEN_DEVICE_FUNC
382  bool isMuchSmallerThan(const DenseBase<OtherDerived>& other,
383  const RealScalar& prec = NumTraits<Scalar>::dummy_precision()) const;
384 
385  EIGEN_DEVICE_FUNC bool isApproxToConstant(const Scalar& value, const RealScalar& prec = NumTraits<Scalar>::dummy_precision()) const;
386  EIGEN_DEVICE_FUNC bool isConstant(const Scalar& value, const RealScalar& prec = NumTraits<Scalar>::dummy_precision()) const;
387  EIGEN_DEVICE_FUNC bool isZero(const RealScalar& prec = NumTraits<Scalar>::dummy_precision()) const;
388  EIGEN_DEVICE_FUNC bool isOnes(const RealScalar& prec = NumTraits<Scalar>::dummy_precision()) const;
389 
390  inline bool hasNaN() const;
391  inline bool allFinite() const;
392 
393  EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
394  Derived& operator*=(const Scalar& other);
395  EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
396  Derived& operator/=(const Scalar& other);
397 
398  typedef typename internal::add_const_on_value_type<typename internal::eval<Derived>::type>::type EvalReturnType;
406  EIGEN_DEVICE_FUNC
407  EIGEN_STRONG_INLINE EvalReturnType eval() const
408  {
409  // Even though MSVC does not honor strong inlining when the return type
410  // is a dynamic matrix, we desperately need strong inlining for fixed
411  // size types on MSVC.
412  return typename internal::eval<Derived>::type(derived());
413  }
414 
418  template<typename OtherDerived>
419  EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
420  void swap(const DenseBase<OtherDerived>& other)
421  {
422  EIGEN_STATIC_ASSERT(!OtherDerived::IsPlainObjectBase,THIS_EXPRESSION_IS_NOT_A_LVALUE__IT_IS_READ_ONLY);
423  eigen_assert(rows()==other.rows() && cols()==other.cols());
424  call_assignment(derived(), other.const_cast_derived(), internal::swap_assign_op<Scalar>());
425  }
426 
430  template<typename OtherDerived>
431  EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
432  void swap(PlainObjectBase<OtherDerived>& other)
433  {
434  eigen_assert(rows()==other.rows() && cols()==other.cols());
435  call_assignment(derived(), other.derived(), internal::swap_assign_op<Scalar>());
436  }
437 
438  EIGEN_DEVICE_FUNC inline const NestByValue<Derived> nestByValue() const;
439  EIGEN_DEVICE_FUNC inline const ForceAlignedAccess<Derived> forceAlignedAccess() const;
440  EIGEN_DEVICE_FUNC inline ForceAlignedAccess<Derived> forceAlignedAccess();
441  template<bool Enable> EIGEN_DEVICE_FUNC
442  inline const typename internal::conditional<Enable,ForceAlignedAccess<Derived>,Derived&>::type forceAlignedAccessIf() const;
443  template<bool Enable> EIGEN_DEVICE_FUNC
444  inline typename internal::conditional<Enable,ForceAlignedAccess<Derived>,Derived&>::type forceAlignedAccessIf();
445 
446  EIGEN_DEVICE_FUNC Scalar sum() const;
447  EIGEN_DEVICE_FUNC Scalar mean() const;
448  EIGEN_DEVICE_FUNC Scalar trace() const;
449 
450  EIGEN_DEVICE_FUNC Scalar prod() const;
451 
452  template<int NaNPropagation>
453  EIGEN_DEVICE_FUNC typename internal::traits<Derived>::Scalar minCoeff() const;
454  template<int NaNPropagation>
455  EIGEN_DEVICE_FUNC typename internal::traits<Derived>::Scalar maxCoeff() const;
456 
457 
458  // By default, the fastest version with undefined NaN propagation semantics is
459  // used.
460  // TODO(rmlarsen): Replace with default template argument when we move to
461  // c++11 or beyond.
462  EIGEN_DEVICE_FUNC inline typename internal::traits<Derived>::Scalar minCoeff() const {
463  return minCoeff<PropagateFast>();
464  }
465  EIGEN_DEVICE_FUNC inline typename internal::traits<Derived>::Scalar maxCoeff() const {
466  return maxCoeff<PropagateFast>();
467  }
468 
469  template<int NaNPropagation, typename IndexType>
470  EIGEN_DEVICE_FUNC
471  typename internal::traits<Derived>::Scalar minCoeff(IndexType* row, IndexType* col) const;
472  template<int NaNPropagation, typename IndexType>
473  EIGEN_DEVICE_FUNC
474  typename internal::traits<Derived>::Scalar maxCoeff(IndexType* row, IndexType* col) const;
475  template<int NaNPropagation, typename IndexType>
476  EIGEN_DEVICE_FUNC
477  typename internal::traits<Derived>::Scalar minCoeff(IndexType* index) const;
478  template<int NaNPropagation, typename IndexType>
479  EIGEN_DEVICE_FUNC
480  typename internal::traits<Derived>::Scalar maxCoeff(IndexType* index) const;
481 
482  // TODO(rmlarsen): Replace these methods with a default template argument.
483  template<typename IndexType>
484  EIGEN_DEVICE_FUNC inline
485  typename internal::traits<Derived>::Scalar minCoeff(IndexType* row, IndexType* col) const {
486  return minCoeff<PropagateFast>(row, col);
487  }
488  template<typename IndexType>
489  EIGEN_DEVICE_FUNC inline
490  typename internal::traits<Derived>::Scalar maxCoeff(IndexType* row, IndexType* col) const {
491  return maxCoeff<PropagateFast>(row, col);
492  }
493  template<typename IndexType>
494  EIGEN_DEVICE_FUNC inline
495  typename internal::traits<Derived>::Scalar minCoeff(IndexType* index) const {
496  return minCoeff<PropagateFast>(index);
497  }
498  template<typename IndexType>
499  EIGEN_DEVICE_FUNC inline
500  typename internal::traits<Derived>::Scalar maxCoeff(IndexType* index) const {
501  return maxCoeff<PropagateFast>(index);
502  }
503 
504  template<typename BinaryOp>
505  EIGEN_DEVICE_FUNC
506  Scalar redux(const BinaryOp& func) const;
507 
508  template<typename Visitor>
509  EIGEN_DEVICE_FUNC
510  void visit(Visitor& func) const;
511 
519  inline const WithFormat<Derived> format(const IOFormat& fmt) const
520  {
521  return WithFormat<Derived>(derived(), fmt);
522  }
523 
525  EIGEN_DEVICE_FUNC
526  CoeffReturnType value() const
527  {
528  EIGEN_STATIC_ASSERT_SIZE_1x1(Derived)
529  eigen_assert(this->rows() == 1 && this->cols() == 1);
530  return derived().coeff(0,0);
531  }
532 
533  EIGEN_DEVICE_FUNC bool all() const;
534  EIGEN_DEVICE_FUNC bool any() const;
535  EIGEN_DEVICE_FUNC Index count() const;
536 
537  typedef VectorwiseOp<Derived, Horizontal> RowwiseReturnType;
538  typedef const VectorwiseOp<const Derived, Horizontal> ConstRowwiseReturnType;
539  typedef VectorwiseOp<Derived, Vertical> ColwiseReturnType;
540  typedef const VectorwiseOp<const Derived, Vertical> ConstColwiseReturnType;
541 
549  //Code moved here due to a CUDA compiler bug
550  EIGEN_DEVICE_FUNC inline ConstRowwiseReturnType rowwise() const {
551  return ConstRowwiseReturnType(derived());
552  }
553  EIGEN_DEVICE_FUNC RowwiseReturnType rowwise();
554 
562  EIGEN_DEVICE_FUNC inline ConstColwiseReturnType colwise() const {
563  return ConstColwiseReturnType(derived());
564  }
565  EIGEN_DEVICE_FUNC ColwiseReturnType colwise();
566 
567  typedef CwiseNullaryOp<internal::scalar_random_op<Scalar>,PlainObject> RandomReturnType;
568  static const RandomReturnType Random(Index rows, Index cols);
569  static const RandomReturnType Random(Index size);
570  static const RandomReturnType Random();
571 
572  template<typename ThenDerived,typename ElseDerived>
573  inline EIGEN_DEVICE_FUNC const Select<Derived,ThenDerived,ElseDerived>
574  select(const DenseBase<ThenDerived>& thenMatrix,
575  const DenseBase<ElseDerived>& elseMatrix) const;
576 
577  template<typename ThenDerived>
578  inline EIGEN_DEVICE_FUNC const Select<Derived,ThenDerived, typename ThenDerived::ConstantReturnType>
579  select(const DenseBase<ThenDerived>& thenMatrix, const typename ThenDerived::Scalar& elseScalar) const;
580 
581  template<typename ElseDerived>
582  inline EIGEN_DEVICE_FUNC const Select<Derived, typename ElseDerived::ConstantReturnType, ElseDerived >
583  select(const typename ElseDerived::Scalar& thenScalar, const DenseBase<ElseDerived>& elseMatrix) const;
584 
585  template<int p> RealScalar lpNorm() const;
586 
587  template<int RowFactor, int ColFactor>
588  EIGEN_DEVICE_FUNC
589  const Replicate<Derived,RowFactor,ColFactor> replicate() const;
598  //Code moved here due to a CUDA compiler bug
599  EIGEN_DEVICE_FUNC
600  const Replicate<Derived, Dynamic, Dynamic> replicate(Index rowFactor, Index colFactor) const
601  {
602  return Replicate<Derived, Dynamic, Dynamic>(derived(), rowFactor, colFactor);
603  }
604 
605  typedef Reverse<Derived, BothDirections> ReverseReturnType;
606  typedef const Reverse<const Derived, BothDirections> ConstReverseReturnType;
607  EIGEN_DEVICE_FUNC ReverseReturnType reverse();
609  //Code moved here due to a CUDA compiler bug
610  EIGEN_DEVICE_FUNC ConstReverseReturnType reverse() const
611  {
612  return ConstReverseReturnType(derived());
613  }
614  EIGEN_DEVICE_FUNC void reverseInPlace();
615 
616  #ifdef EIGEN_PARSED_BY_DOXYGEN
617 
620  typedef random_access_iterator_type iterator;
622  typedef random_access_iterator_type const_iterator;
623  #else
624  typedef typename internal::conditional< (Flags&DirectAccessBit)==DirectAccessBit,
625  internal::pointer_based_stl_iterator<Derived>,
626  internal::generic_randaccess_stl_iterator<Derived>
627  >::type iterator_type;
628 
629  typedef typename internal::conditional< (Flags&DirectAccessBit)==DirectAccessBit,
630  internal::pointer_based_stl_iterator<const Derived>,
631  internal::generic_randaccess_stl_iterator<const Derived>
632  >::type const_iterator_type;
633 
634  // Stl-style iterators are supported only for vectors.
635 
636  typedef typename internal::conditional< IsVectorAtCompileTime,
637  iterator_type,
638  void
639  >::type iterator;
640 
641  typedef typename internal::conditional< IsVectorAtCompileTime,
642  const_iterator_type,
643  void
644  >::type const_iterator;
645  #endif
646 
647  inline iterator begin();
648  inline const_iterator begin() const;
649  inline const_iterator cbegin() const;
650  inline iterator end();
651  inline const_iterator end() const;
652  inline const_iterator cend() const;
653 
654 #define EIGEN_CURRENT_STORAGE_BASE_CLASS Eigen::DenseBase
655 #define EIGEN_DOC_BLOCK_ADDONS_NOT_INNER_PANEL
656 #define EIGEN_DOC_BLOCK_ADDONS_INNER_PANEL_IF(COND)
657 #define EIGEN_DOC_UNARY_ADDONS(X,Y)
658 # include "../plugins/CommonCwiseUnaryOps.h"
659 # include "../plugins/BlockMethods.h"
660 # include "../plugins/IndexedViewMethods.h"
661 # include "../plugins/ReshapedMethods.h"
662 # ifdef EIGEN_DENSEBASE_PLUGIN
663 # include EIGEN_DENSEBASE_PLUGIN
664 # endif
665 #undef EIGEN_CURRENT_STORAGE_BASE_CLASS
666 #undef EIGEN_DOC_BLOCK_ADDONS_NOT_INNER_PANEL
667 #undef EIGEN_DOC_BLOCK_ADDONS_INNER_PANEL_IF
668 #undef EIGEN_DOC_UNARY_ADDONS
669 
670  // disable the use of evalTo for dense objects with a nice compilation error
671  template<typename Dest>
672  EIGEN_DEVICE_FUNC
673  inline void evalTo(Dest& ) const
674  {
675  EIGEN_STATIC_ASSERT((internal::is_same<Dest,void>::value),THE_EVAL_EVALTO_FUNCTION_SHOULD_NEVER_BE_CALLED_FOR_DENSE_OBJECTS);
676  }
677 
678  protected:
679  EIGEN_DEFAULT_COPY_CONSTRUCTOR(DenseBase)
681  EIGEN_DEVICE_FUNC DenseBase()
682  {
683  /* Just checks for self-consistency of the flags.
684  * Only do it when debugging Eigen, as this borders on paranoia and could slow compilation down
685  */
686 #ifdef EIGEN_INTERNAL_DEBUGGING
687  EIGEN_STATIC_ASSERT((EIGEN_IMPLIES(MaxRowsAtCompileTime==1 && MaxColsAtCompileTime!=1, int(IsRowMajor))
688  && EIGEN_IMPLIES(MaxColsAtCompileTime==1 && MaxRowsAtCompileTime!=1, int(!IsRowMajor))),
689  INVALID_STORAGE_ORDER_FOR_THIS_VECTOR_EXPRESSION)
690 #endif
691  }
692 
693  private:
694  EIGEN_DEVICE_FUNC explicit DenseBase(int);
695  EIGEN_DEVICE_FUNC DenseBase(int,int);
696  template<typename OtherDerived> EIGEN_DEVICE_FUNC explicit DenseBase(const DenseBase<OtherDerived>&);
697 };
698 
699 } // end namespace Eigen
700 
701 #endif // EIGEN_DENSEBASE_H
Eigen::DenseBase::RowwiseReturnType
VectorwiseOp< Derived, Horizontal > RowwiseReturnType
Definition: DenseBase.h:537
Eigen::DenseBase::DenseBase
EIGEN_DEVICE_FUNC DenseBase()
Definition: DenseBase.h:681
Eigen::DenseBase::select
const EIGEN_DEVICE_FUNC Select< Derived, ThenDerived, ElseDerived > select(const DenseBase< ThenDerived > &thenMatrix, const DenseBase< ElseDerived > &elseMatrix) const
Definition: Select.h:126
w
RowVector3d w
Definition: Matrix_resize_int.cpp:3
gtsam.examples.DogLegOptimizerExample.int
int
Definition: DogLegOptimizerExample.py:111
Eigen::DenseBase::PlainObject
internal::conditional< internal::is_same< typename internal::traits< Derived >::XprKind, MatrixXpr >::value, PlainMatrix, PlainArray >::type PlainObject
The plain matrix or array type corresponding to this expression.
Definition: DenseBase.h:210
Eigen::DenseBase::operator<<
EIGEN_DEVICE_FUNC CommaInitializer< Derived > operator<<(const Scalar &s)
Definition: CommaInitializer.h:148
Eigen::internal::find_best_packet::type
find_best_packet_helper< Size, typename packet_traits< T >::type >::type type
Definition: XprHelper.h:208
Eigen::MatrixXpr
Definition: Constants.h:522
EIGEN_DEVICE_FUNC
#define EIGEN_DEVICE_FUNC
Definition: Macros.h:976
Eigen
Namespace containing all symbols from the Eigen library.
Definition: jet.h:637
Eigen::DenseBase::iterator
internal::conditional< IsVectorAtCompileTime, iterator_type, void >::type iterator
Definition: DenseBase.h:639
Eigen::DenseBase::setZero
EIGEN_DEVICE_FUNC Derived & setZero()
Definition: CwiseNullaryOp.h:546
Eigen::ReturnByValue
Definition: ReturnByValue.h:50
Eigen::IOFormat
Stores a set of parameters controlling the way matrices are printed.
Definition: IO.h:51
col
m col(1)
Eigen::DenseBase::isZero
EIGEN_DEVICE_FUNC bool isZero(const RealScalar &prec=NumTraits< Scalar >::dummy_precision()) const
Definition: CwiseNullaryOp.h:528
Eigen::DenseBase::forceAlignedAccess
const EIGEN_DEVICE_FUNC ForceAlignedAccess< Derived > forceAlignedAccess() const
gtsam.examples.DogLegOptimizerExample.type
type
Definition: DogLegOptimizerExample.py:111
Eigen::DenseBase::maxCoeff
EIGEN_DEVICE_FUNC internal::traits< Derived >::Scalar maxCoeff() const
Eigen::DenseBase::ReverseReturnType
Reverse< Derived, BothDirections > ReverseReturnType
Definition: DenseBase.h:605
s
RealScalar s
Definition: level1_cplx_impl.h:126
Eigen::ForceAlignedAccess
Enforce aligned packet loads and stores regardless of what is requested.
Definition: ForceAlignedAccess.h:34
Eigen::DenseBase::replicate
const EIGEN_DEVICE_FUNC Replicate< Derived, RowFactor, ColFactor > replicate() const
Definition: Replicate.h:119
Eigen::DenseBase::Zero
static const EIGEN_DEVICE_FUNC ConstantReturnType Zero()
Definition: CwiseNullaryOp.h:514
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General-purpose arrays with easy API for coefficient-wise operations.
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EIGEN_DEVICE_FUNC Scalar mean() const
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Sets a linearly spaced vector.
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Generic expression of a matrix where all coefficients are defined by a functor.
Definition: CwiseNullaryOp.h:60
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Scalar Scalar int size
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EIGEN_DEVICE_FUNC Scalar prod() const
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EIGEN_DEVICE_FUNC bool isOnes(const RealScalar &prec=NumTraits< Scalar >::dummy_precision()) const
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const typedef Reverse< const Derived, BothDirections > ConstReverseReturnType
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@ IsVectorAtCompileTime
Definition: DenseBase.h:153
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Definition: StaticAssert.h:197
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Definition: BooleanRedux.h:79
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Definition: DenseBase.h:495
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EIGEN_DEVICE_FUNC ReverseReturnType reverse()
Definition: Reverse.h:120
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EIGEN_DEPRECATED static const EIGEN_DEVICE_FUNC RandomAccessLinSpacedReturnType LinSpaced(Sequential_t, Index size, const Scalar &low, const Scalar &high)
Definition: CwiseNullaryOp.h:244
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EIGEN_DEVICE_FUNC Derived & operator-=(const EigenBase< OtherDerived > &other)
Definition: EigenBase.h:152
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EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE void swap(PlainObjectBase< OtherDerived > &other)
Definition: DenseBase.h:432
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EIGEN_DEPRECATED EIGEN_DEVICE_FUNC Derived & lazyAssign(const DenseBase< OtherDerived > &other)
Eigen::DenseBase::OuterStrideAtCompileTime
@ OuterStrideAtCompileTime
Definition: DenseBase.h:176
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EIGEN_DEVICE_FUNC Derived & operator+=(const EigenBase< OtherDerived > &other)
Definition: EigenBase.h:143
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Base::CoeffReturnType CoeffReturnType
Definition: DenseBase.h:96
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Eigen::InnerIterator< Derived > InnerIterator
Definition: DenseBase.h:53
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Definition: StlIterators.h:179
Eigen::DenseBase::SizeAtCompileTime
@ SizeAtCompileTime
Definition: DenseBase.h:113
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EIGEN_DEVICE_FUNC Scalar trace() const
Eigen::DenseBase::MaxSizeAtCompileTime
@ MaxSizeAtCompileTime
Definition: DenseBase.h:141
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CwiseNullaryOp< internal::scalar_random_op< Scalar >, PlainObject > RandomReturnType
Definition: DenseBase.h:567
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EIGEN_DEVICE_FUNC internal::traits< Derived >::Scalar maxCoeff() const
Definition: DenseBase.h:465
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Definition: AssignmentFunctors.h:142
EIGEN_STRONG_INLINE
#define EIGEN_STRONG_INLINE
Definition: Macros.h:917
Eigen::Reverse
Expression of the reverse of a vector or matrix.
Definition: Reverse.h:63
Eigen::Replicate
Expression of the multiple replication of a matrix or vector.
Definition: Replicate.h:61
Eigen::DenseBase::PlainMatrix
Matrix< typename internal::traits< Derived >::Scalar, internal::traits< Derived >::RowsAtCompileTime, internal::traits< Derived >::ColsAtCompileTime, AutoAlign|(internal::traits< Derived >::Flags &RowMajorBit ? RowMajor :ColMajor), internal::traits< Derived >::MaxRowsAtCompileTime, internal::traits< Derived >::MaxColsAtCompileTime > PlainMatrix
Definition: DenseBase.h:191
Eigen::DenseBase::const_iterator_type
internal::conditional<(Flags &DirectAccessBit)==DirectAccessBit, internal::pointer_based_stl_iterator< const Derived >, internal::generic_randaccess_stl_iterator< const Derived > >::type const_iterator_type
Definition: DenseBase.h:632
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Pseudo expression providing matrix output with given format.
Definition: IO.h:96
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static const RandomReturnType Random()
Definition: Random.h:113
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Definition: Meta.h:208
Eigen::DenseBase::minCoeff
EIGEN_DEVICE_FUNC internal::traits< Derived >::Scalar minCoeff() const
Definition: DenseBase.h:462
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Definition: PlainObjectBase.h:98
Eigen::DenseBase::isConstant
EIGEN_DEVICE_FUNC bool isConstant(const Scalar &value, const RealScalar &prec=NumTraits< Scalar >::dummy_precision()) const
Definition: CwiseNullaryOp.h:325
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EIGEN_DEPRECATED typedef CwiseNullaryOp< internal::linspaced_op< Scalar >, PlainObject > SequentialLinSpacedReturnType
Definition: DenseBase.h:269
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Definition: pybind_wrapper_test_script.py:61
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internal::traits< Derived >::StorageKind StorageKind
Definition: DenseBase.h:55
Eigen::AutoAlign
@ AutoAlign
Definition: Constants.h:323
Eigen::Sequential_t
Sequential_t
Definition: Constants.h:361
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EIGEN_DEVICE_FUNC void fill(const Scalar &value)
Definition: CwiseNullaryOp.h:335
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EIGEN_DEVICE_FUNC bool any() const
Definition: BooleanRedux.h:103
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An InnerIterator allows to loop over the element of any matrix expression.
Definition: CoreIterators.h:33
Eigen::DenseBase::forceAlignedAccessIf
const EIGEN_DEVICE_FUNC internal::conditional< Enable, ForceAlignedAccess< Derived >, Derived & >::type forceAlignedAccessIf() const
Eigen::DenseBase::Flags
@ Flags
Definition: DenseBase.h:165
EIGEN_DEFAULT_COPY_CONSTRUCTOR
#define EIGEN_DEFAULT_COPY_CONSTRUCTOR(CLASS)
Definition: Macros.h:1221
Eigen::DenseBase::colwise
EIGEN_DEVICE_FUNC ConstColwiseReturnType colwise() const
Definition: DenseBase.h:562
y
Scalar * y
Definition: level1_cplx_impl.h:124
Eigen::DenseBase::sum
EIGEN_DEVICE_FUNC Scalar sum() const
Definition: Redux.h:459
Eigen::DenseBase::replicate
const EIGEN_DEVICE_FUNC Replicate< Derived, Dynamic, Dynamic > replicate(Index rowFactor, Index colFactor) const
Definition: DenseBase.h:600
Eigen::DenseBase::MaxRowsAtCompileTime
@ MaxRowsAtCompileTime
Definition: DenseBase.h:119
Eigen::DenseBase::iterator_type
internal::conditional<(Flags &DirectAccessBit)==DirectAccessBit, internal::pointer_based_stl_iterator< Derived >, internal::generic_randaccess_stl_iterator< Derived > >::type iterator_type
Definition: DenseBase.h:627
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RealScalar lpNorm() const
Eigen::DenseBase::outerSize
EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR Index outerSize() const
Definition: DenseBase.h:223
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EIGEN_DEVICE_FUNC void visit(Visitor &func) const
Definition: Visitor.h:117
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const WithFormat< Derived > format(const IOFormat &fmt) const
Definition: DenseBase.h:519
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iterator end()
Definition: StlIterators.h:437
Eigen::DenseBase
Base class for all dense matrices, vectors, and arrays.
Definition: DenseBase.h:41
EIGEN_STATIC_ASSERT
#define EIGEN_STATIC_ASSERT(CONDITION, MSG)
Definition: StaticAssert.h:127
Eigen::DenseBase::NumDimensions
@ NumDimensions
Definition: DenseBase.h:160
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internal::add_const< Transpose< const Derived > >::type ConstTransposeReturnType
Definition: DenseBase.h:327
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EIGEN_DEVICE_FUNC Scalar redux(const BinaryOp &func) const
Eigen::DenseBase::isApprox
EIGEN_DEVICE_FUNC bool isApprox(const DenseBase< OtherDerived > &other, const RealScalar &prec=NumTraits< Scalar >::dummy_precision()) const
Definition: Fuzzy.h:103
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iterator begin()
Definition: StlIterators.h:408
Eigen::DenseBase::rowwise
EIGEN_DEVICE_FUNC ConstRowwiseReturnType rowwise() const
Definition: DenseBase.h:550
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m row(1)
Eigen::DenseBase::reverseInPlace
EIGEN_DEVICE_FUNC void reverseInPlace()
Definition: Reverse.h:141
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EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Derived & operator=(const DenseBase< OtherDerived > &other)
Definition: Assign.h:39
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Definition: Meta.h:109
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const_iterator cbegin() const
Definition: StlIterators.h:426
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EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Derived & operator*=(const Scalar &other)
Definition: SelfCwiseBinaryOp.h:18
Eigen::DenseBase::IsRowMajor
@ IsRowMajor
Definition: DenseBase.h:170
Real
mp::number< mp::cpp_dec_float< 100 >, mp::et_on > Real
Definition: boostmultiprec.cpp:78
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Helper class used by the comma initializer operator.
Definition: CommaInitializer.h:28
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Expression which must be nested by value.
Definition: NestByValue.h:38
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EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR Index nonZeros() const
Definition: DenseBase.h:215
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EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR Index innerSize() const
Definition: DenseBase.h:235
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EIGEN_DEVICE_FUNC Derived & setOnes()
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@ RowsAtCompileTime
Definition: DenseBase.h:100
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EIGEN_DEVICE_FUNC Index count() const
Definition: BooleanRedux.h:127
Eigen::DenseBase::transpose
EIGEN_DEVICE_FUNC TransposeReturnType transpose()
Definition: Transpose.h:182
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DenseCoeffsBase< Derived, internal::accessors_level< Derived >::value > Base
Definition: DenseBase.h:74
Eigen::DenseBase::value_type
Scalar value_type
Definition: DenseBase.h:71
Eigen::DenseBase::IsPlainObjectBase
@ IsPlainObjectBase
Definition: DenseBase.h:181
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Definition: Meta.h:148
Eigen::Matrix
The matrix class, also used for vectors and row-vectors.
Definition: 3rdparty/Eigen/Eigen/src/Core/Matrix.h:178
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internal::conditional< IsVectorAtCompileTime, const_iterator_type, void >::type const_iterator
Definition: DenseBase.h:644
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EIGEN_DEVICE_FUNC void resize(Index rows, Index cols)
Definition: DenseBase.h:257
internal
Definition: BandTriangularSolver.h:13
Eigen::DenseBase::ColsAtCompileTime
@ ColsAtCompileTime
Definition: DenseBase.h:106
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EIGEN_DEVICE_FUNC void resize(Index newSize)
Definition: DenseBase.h:246
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static const EIGEN_DEVICE_FUNC CwiseNullaryOp< CustomNullaryOp, PlainObject > NullaryExpr(Index rows, Index cols, const CustomNullaryOp &func)
Eigen::DenseBase::swap
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE void swap(const DenseBase< OtherDerived > &other)
Definition: DenseBase.h:420
EIGEN_IMPLIES
#define EIGEN_IMPLIES(a, b)
Definition: Macros.h:1315
Eigen::DenseBase::MaxColsAtCompileTime
@ MaxColsAtCompileTime
Definition: DenseBase.h:130
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const EIGEN_DEVICE_FUNC NestByValue< Derived > nestByValue() const
Definition: NestByValue.h:63
Eigen::ColMajor
@ ColMajor
Definition: Constants.h:319
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int cols
Definition: Tutorial_commainit_02.cpp:1
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Transpose< Derived > TransposeReturnType
Definition: DenseBase.h:324
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Definition: benchGeometry.cpp:23
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EIGEN_DEVICE_FUNC internal::traits< Derived >::Scalar minCoeff(IndexType *row, IndexType *col) const
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EIGEN_DEVICE_FUNC Derived & setRandom()
Definition: Random.h:131
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Definition: ForwardDeclarations.h:50
Eigen::DenseBase::transposeInPlace
EIGEN_DEVICE_FUNC void transposeInPlace()
Definition: Transpose.h:344
Eigen::Select
Expression of a coefficient wise version of the C++ ternary operator ?:
Definition: Select.h:52
Eigen::internal::call_assignment
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE void call_assignment(Dst &dst, const Src &src)
Definition: AssignEvaluator.h:834
Eigen::NumTraits
Holds information about the various numeric (i.e. scalar) types allowed by Eigen.
Definition: NumTraits.h:232
pybind_wrapper_test_script.other
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Definition: pybind_wrapper_test_script.py:42
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Definition: XprHelper.h:281
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CwiseNullaryOp< internal::linspaced_op< Scalar >, PlainObject > RandomAccessLinSpacedReturnType
Definition: DenseBase.h:271
Eigen::DenseBase::isMuchSmallerThan
EIGEN_DEVICE_FUNC bool isMuchSmallerThan(const RealScalar &other, const RealScalar &prec=NumTraits< Scalar >::dummy_precision()) const
Eigen::DenseBase::value
EIGEN_DEVICE_FUNC CoeffReturnType value() const
Definition: DenseBase.h:526
Scalar
SCALAR Scalar
Definition: bench_gemm.cpp:46
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EIGEN_DEFAULT_DENSE_INDEX_TYPE Index
The Index type as used for the API.
Definition: Meta.h:74
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const_iterator cend() const
Definition: StlIterators.h:455
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bool allFinite() const
Definition: BooleanRedux.h:151
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