SMatTransExpr.h
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1 //=================================================================================================
33 //=================================================================================================
34 
35 #ifndef _BLAZE_MATH_EXPRESSIONS_SMATTRANSEXPR_H_
36 #define _BLAZE_MATH_EXPRESSIONS_SMATTRANSEXPR_H_
37 
38 
39 //*************************************************************************************************
40 // Includes
41 //*************************************************************************************************
42 
43 #include <iterator>
44 #include <blaze/math/Aliases.h>
48 #include <blaze/math/Exception.h>
77 #include <blaze/util/Assert.h>
79 #include <blaze/util/EmptyType.h>
80 #include <blaze/util/EnableIf.h>
82 #include <blaze/util/InvalidType.h>
84 #include <blaze/util/mpl/And.h>
85 #include <blaze/util/mpl/If.h>
86 #include <blaze/util/Types.h>
88 
89 
90 namespace blaze {
91 
92 //=================================================================================================
93 //
94 // CLASS SMATTRANSEXPR
95 //
96 //=================================================================================================
97 
98 //*************************************************************************************************
105 template< typename MT // Type of the sparse matrix
106  , bool SO > // Storage order
107 class SMatTransExpr : public SparseMatrix< SMatTransExpr<MT,SO>, SO >
108  , private MatTransExpr
109  , private If< IsComputation<MT>, Computation, EmptyType >::Type
110 {
111  private:
112  //**Type definitions****************************************************************************
113  typedef ResultType_<MT> RT;
115  //**********************************************************************************************
116 
117  //**Serial evaluation strategy******************************************************************
119 
125  enum : bool { useAssign = RequiresEvaluation<MT>::value };
126 
128  template< typename MT2 >
130  struct UseAssign {
131  enum : bool { value = useAssign };
132  };
134  //**********************************************************************************************
135 
136  //**Parallel evaluation strategy****************************************************************
138 
143  template< typename MT2 >
144  struct UseSMPAssign {
145  enum : bool { value = MT2::smpAssignable && useAssign };
146  };
148  //**********************************************************************************************
149 
150  public:
151  //**Type definitions****************************************************************************
158 
161 
163  typedef If_< IsExpression<MT>, const MT, const MT& > Operand;
164  //**********************************************************************************************
165 
166  //**ConstIterator class definition**************************************************************
170  {
171  public:
172  //**Type definitions*************************************************************************
175 
176  typedef std::forward_iterator_tag IteratorCategory;
177  typedef typename std::iterator_traits<IteratorType>::value_type ValueType;
178  typedef typename std::iterator_traits<IteratorType>::pointer PointerType;
179  typedef typename std::iterator_traits<IteratorType>::reference ReferenceType;
180  typedef typename std::iterator_traits<IteratorType>::difference_type DifferenceType;
181 
182  // STL iterator requirements
183  typedef IteratorCategory iterator_category;
184  typedef ValueType value_type;
185  typedef PointerType pointer;
186  typedef ReferenceType reference;
187  typedef DifferenceType difference_type;
188  //*******************************************************************************************
189 
190  //**Constructor******************************************************************************
193  inline ConstIterator( IteratorType it )
194  : it_( it ) // Iterator over the elements of the sparse matrix expression
195  {}
196  //*******************************************************************************************
197 
198  //**Prefix increment operator****************************************************************
204  ++it_;
205  return *this;
206  }
207  //*******************************************************************************************
208 
209  //**Element access operator******************************************************************
214  inline const ValueType operator*() const {
215  return *it_;
216  }
217  //*******************************************************************************************
218 
219  //**Element access operator******************************************************************
224  inline const IteratorType operator->() const {
225  return it_;
226  }
227  //*******************************************************************************************
228 
229  //**Value function***************************************************************************
234  inline ReturnType value() const {
235  return it_->value();
236  }
237  //*******************************************************************************************
238 
239  //**Index function***************************************************************************
244  inline size_t index() const {
245  return it_->index();
246  }
247  //*******************************************************************************************
248 
249  //**Equality operator************************************************************************
255  inline bool operator==( const ConstIterator& rhs ) const {
256  return it_ == rhs.it_;
257  }
258  //*******************************************************************************************
259 
260  //**Inequality operator**********************************************************************
266  inline bool operator!=( const ConstIterator& rhs ) const {
267  return it_ != rhs.it_;
268  }
269  //*******************************************************************************************
270 
271  //**Subtraction operator*********************************************************************
277  inline DifferenceType operator-( const ConstIterator& rhs ) const {
278  return it_ - rhs.it_;
279  }
280  //*******************************************************************************************
281 
282  private:
283  //**Member variables*************************************************************************
284  IteratorType it_;
285  //*******************************************************************************************
286  };
287  //**********************************************************************************************
288 
289  //**Compilation flags***************************************************************************
291  enum : bool { smpAssignable = MT::smpAssignable };
292  //**********************************************************************************************
293 
294  //**Constructor*********************************************************************************
299  explicit inline SMatTransExpr( const MT& sm ) noexcept
300  : sm_( sm )
301  {}
302  //**********************************************************************************************
303 
304  //**Access operator*****************************************************************************
311  inline ReturnType operator()( size_t i, size_t j ) const {
312  BLAZE_INTERNAL_ASSERT( i < sm_.columns(), "Invalid row access index" );
313  BLAZE_INTERNAL_ASSERT( j < sm_.rows() , "Invalid column access index" );
314  return sm_(j,i);
315  }
316  //**********************************************************************************************
317 
318  //**At function*********************************************************************************
326  inline ReturnType at( size_t i, size_t j ) const {
327  if( i >= sm_.columns() ) {
328  BLAZE_THROW_OUT_OF_RANGE( "Invalid row access index" );
329  }
330  if( j >= sm_.rows() ) {
331  BLAZE_THROW_OUT_OF_RANGE( "Invalid column access index" );
332  }
333  return (*this)(i,j);
334  }
335  //**********************************************************************************************
336 
337  //**Begin function******************************************************************************
343  inline ConstIterator begin( size_t i ) const {
344  return sm_.begin(i);
345  }
346  //**********************************************************************************************
347 
348  //**End function********************************************************************************
354  inline ConstIterator end( size_t i ) const {
355  return sm_.end(i);
356  }
357  //**********************************************************************************************
358 
359  //**Rows function*******************************************************************************
364  inline size_t rows() const noexcept {
365  return sm_.columns();
366  }
367  //**********************************************************************************************
368 
369  //**Columns function****************************************************************************
374  inline size_t columns() const noexcept {
375  return sm_.rows();
376  }
377  //**********************************************************************************************
378 
379  //**NonZeros function***************************************************************************
384  inline size_t nonZeros() const {
385  return sm_.nonZeros();
386  }
387  //**********************************************************************************************
388 
389  //**NonZeros function***************************************************************************
395  inline size_t nonZeros( size_t i ) const {
396  return sm_.nonZeros( i );
397  }
398  //**********************************************************************************************
399 
400  //**Find function*******************************************************************************
407  inline ConstIterator find( size_t i, size_t j ) const {
409  return sm_.find( j, i );
410  }
411  //**********************************************************************************************
412 
413  //**LowerBound function*************************************************************************
420  inline ConstIterator lowerBound( size_t i, size_t j ) const {
422  return sm_.lowerBound( j, i );
423  }
424  //**********************************************************************************************
425 
426  //**UpperBound function*************************************************************************
433  inline ConstIterator upperBound( size_t i, size_t j ) const {
435  return sm_.upperBound( j, i );
436  }
437  //**********************************************************************************************
438 
439  //**Operand access******************************************************************************
444  inline Operand operand() const noexcept {
445  return sm_;
446  }
447  //**********************************************************************************************
448 
449  //**********************************************************************************************
455  template< typename T >
456  inline bool canAlias( const T* alias ) const noexcept {
457  return sm_.isAliased( alias );
458  }
459  //**********************************************************************************************
460 
461  //**********************************************************************************************
467  template< typename T >
468  inline bool isAliased( const T* alias ) const noexcept {
469  return sm_.isAliased( alias );
470  }
471  //**********************************************************************************************
472 
473  //**********************************************************************************************
478  inline bool canSMPAssign() const noexcept {
479  return sm_.canSMPAssign();
480  }
481  //**********************************************************************************************
482 
483  private:
484  //**Member variables****************************************************************************
485  Operand sm_;
486  //**********************************************************************************************
487 
488  //**Assignment to dense matrices****************************************************************
502  template< typename MT2 // Type of the target dense matrix
503  , bool SO2 > // Storage order of the target dense matrix
504  friend inline EnableIf_< UseAssign<MT2> >
505  assign( DenseMatrix<MT2,SO2>& lhs, const SMatTransExpr& rhs )
506  {
508 
509  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
510  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
511 
512  DMatTransposer<MT2,!SO2> tmp( ~lhs );
513  assign( tmp, rhs.sm_ );
514  }
516  //**********************************************************************************************
517 
518  //**Assignment to sparse matrices***************************************************************
532  template< typename MT2 // Type of the target sparse matrix
533  , bool SO2 > // Storage order of the target sparse matrix
534  friend inline EnableIf_< UseAssign<MT2> >
535  assign( SparseMatrix<MT2,SO2>& lhs, const SMatTransExpr& rhs )
536  {
538 
539  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
540  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
541 
542  SMatTransposer<MT2,!SO2> tmp( ~lhs );
543  assign( tmp, rhs.sm_ );
544  }
546  //**********************************************************************************************
547 
548  //**Addition assignment to dense matrices*******************************************************
562  template< typename MT2 // Type of the target dense matrix
563  , bool SO2 > // Storage order of the target dense matrix
564  friend inline EnableIf_< UseAssign<MT2> >
565  addAssign( DenseMatrix<MT2,SO2>& lhs, const SMatTransExpr& rhs )
566  {
568 
569  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
570  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
571 
572  DMatTransposer<MT2,!SO2> tmp( ~lhs );
573  addAssign( tmp, rhs.sm_ );
574  }
576  //**********************************************************************************************
577 
578  //**Addition assignment to sparse matrices******************************************************
579  // No special implementation for the addition assignment to sparse matrices.
580  //**********************************************************************************************
581 
582  //**Subtraction assignment to dense matrices****************************************************
596  template< typename MT2 // Type of the target dense matrix
597  , bool SO2 > // Storage order of the target dense matrix
598  friend inline EnableIf_< UseAssign<MT2> >
599  subAssign( DenseMatrix<MT2,SO2>& lhs, const SMatTransExpr& rhs )
600  {
602 
603  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
604  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
605 
606  DMatTransposer<MT2,!SO2> tmp( ~lhs );
607  subAssign( tmp, rhs.sm_ );
608  }
610  //**********************************************************************************************
611 
612  //**Subtraction assignment to sparse matrices***************************************************
613  // No special implementation for the subtraction assignment to sparse matrices.
614  //**********************************************************************************************
615 
616  //**Multiplication assignment to dense matrices*************************************************
617  // No special implementation for the multiplication assignment to dense matrices.
618  //**********************************************************************************************
619 
620  //**Multiplication assignment to sparse matrices************************************************
621  // No special implementation for the multiplication assignment to sparse matrices.
622  //**********************************************************************************************
623 
624  //**SMP assignment to dense matrices************************************************************
638  template< typename MT2 // Type of the target dense matrix
639  , bool SO2 > // Storage order of the target dense matrix
640  friend inline EnableIf_< UseSMPAssign<MT2> >
641  smpAssign( DenseMatrix<MT2,SO2>& lhs, const SMatTransExpr& rhs )
642  {
644 
645  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
646  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
647 
648  DMatTransposer<MT2,!SO2> tmp( ~lhs );
649  smpAssign( tmp, rhs.sm_ );
650  }
652  //**********************************************************************************************
653 
654  //**SMP assignment to sparse matrices***********************************************************
668  template< typename MT2 // Type of the target sparse matrix
669  , bool SO2 > // Storage order of the target sparse matrix
670  friend inline EnableIf_< UseSMPAssign<MT2> >
671  smpAssign( SparseMatrix<MT2,SO2>& lhs, const SMatTransExpr& rhs )
672  {
674 
675  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
676  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
677 
678  SMatTransposer<MT2,!SO2> tmp( ~lhs );
679  smpAssign( tmp, rhs.sm_ );
680  }
682  //**********************************************************************************************
683 
684  //**SMP addition assignment to dense matrices***************************************************
698  template< typename MT2 // Type of the target dense matrix
699  , bool SO2 > // Storage order of the target dense matrix
700  friend inline EnableIf_< UseSMPAssign<MT2> >
701  smpAddAssign( DenseMatrix<MT2,SO2>& lhs, const SMatTransExpr& rhs )
702  {
704 
705  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
706  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
707 
708  DMatTransposer<MT2,!SO2> tmp( ~lhs );
709  smpAddAssign( tmp, rhs.sm_ );
710  }
712  //**********************************************************************************************
713 
714  //**SMP addition assignment to sparse matrices**************************************************
715  // No special implementation for the SMP addition assignment to sparse matrices.
716  //**********************************************************************************************
717 
718  //**SMP subtraction assignment to dense matrices************************************************
733  template< typename MT2 // Type of the target dense matrix
734  , bool SO2 > // Storage order of the target dense matrix
735  friend inline EnableIf_< UseSMPAssign<MT2> >
736  smpSubAssign( DenseMatrix<MT2,SO2>& lhs, const SMatTransExpr& rhs )
737  {
739 
740  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
741  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
742 
743  DMatTransposer<MT2,!SO2> tmp( ~lhs );
744  smpSubAssign( tmp, rhs.sm_ );
745  }
747  //**********************************************************************************************
748 
749  //**SMP subtraction assignment to sparse matrices***********************************************
750  // No special implementation for the SMP subtraction assignment to sparse matrices.
751  //**********************************************************************************************
752 
753  //**SMP multiplication assignment to dense matrices*********************************************
754  // No special implementation for the SMP multiplication assignment to dense matrices.
755  //**********************************************************************************************
756 
757  //**SMP multiplication assignment to sparse matrices********************************************
758  // No special implementation for the SMP multiplication assignment to sparse matrices.
759  //**********************************************************************************************
760 
761  //**Compile time checks*************************************************************************
766  //**********************************************************************************************
767 };
768 //*************************************************************************************************
769 
770 
771 
772 
773 //=================================================================================================
774 //
775 // GLOBAL OPERATORS
776 //
777 //=================================================================================================
778 
779 //*************************************************************************************************
798 template< typename MT // Type of the sparse matrix
799  , bool SO > // Storage order
801 {
803 
804  return SMatTransExpr<MT,!SO>( ~sm );
805 }
806 //*************************************************************************************************
807 
808 
809 
810 
811 //=================================================================================================
812 //
813 // GLOBAL RESTRUCTURING FUNCTIONS
814 //
815 //=================================================================================================
816 
817 //*************************************************************************************************
837 template< typename MT // Type of the dense matrix
838  , bool SO > // Storage order
839 inline typename SMatTransExpr<MT,SO>::Operand trans( const SMatTransExpr<MT,SO>& sm )
840 {
842 
843  return sm.operand();
844 }
846 //*************************************************************************************************
847 
848 
849 
850 
851 //=================================================================================================
852 //
853 // ROWS SPECIALIZATIONS
854 //
855 //=================================================================================================
856 
857 //*************************************************************************************************
859 template< typename MT, bool SO >
860 struct Rows< SMatTransExpr<MT,SO> > : public Columns<MT>
861 {};
863 //*************************************************************************************************
864 
865 
866 
867 
868 //=================================================================================================
869 //
870 // COLUMNS SPECIALIZATIONS
871 //
872 //=================================================================================================
873 
874 //*************************************************************************************************
876 template< typename MT, bool SO >
877 struct Columns< SMatTransExpr<MT,SO> > : public Rows<MT>
878 {};
880 //*************************************************************************************************
881 
882 
883 
884 
885 //=================================================================================================
886 //
887 // ISSYMMETRIC SPECIALIZATIONS
888 //
889 //=================================================================================================
890 
891 //*************************************************************************************************
893 template< typename MT, bool SO >
894 struct IsSymmetric< SMatTransExpr<MT,SO> >
895  : public BoolConstant< IsSymmetric<MT>::value >
896 {};
898 //*************************************************************************************************
899 
900 
901 
902 
903 //=================================================================================================
904 //
905 // ISHERMITIAN SPECIALIZATIONS
906 //
907 //=================================================================================================
908 
909 //*************************************************************************************************
911 template< typename MT, bool SO >
912 struct IsHermitian< SMatTransExpr<MT,SO> >
913  : public BoolConstant< IsHermitian<MT>::value >
914 {};
916 //*************************************************************************************************
917 
918 
919 
920 
921 //=================================================================================================
922 //
923 // ISLOWER SPECIALIZATIONS
924 //
925 //=================================================================================================
926 
927 //*************************************************************************************************
929 template< typename MT, bool SO >
930 struct IsLower< SMatTransExpr<MT,SO> >
931  : public BoolConstant< IsUpper<MT>::value >
932 {};
934 //*************************************************************************************************
935 
936 
937 
938 
939 //=================================================================================================
940 //
941 // ISUNILOWER SPECIALIZATIONS
942 //
943 //=================================================================================================
944 
945 //*************************************************************************************************
947 template< typename MT, bool SO >
948 struct IsUniLower< SMatTransExpr<MT,SO> >
949  : public BoolConstant< IsUniUpper<MT>::value >
950 {};
952 //*************************************************************************************************
953 
954 
955 
956 
957 //=================================================================================================
958 //
959 // ISSTRICTLYLOWER SPECIALIZATIONS
960 //
961 //=================================================================================================
962 
963 //*************************************************************************************************
965 template< typename MT, bool SO >
966 struct IsStrictlyLower< SMatTransExpr<MT,SO> >
967  : public BoolConstant< IsStrictlyUpper<MT>::value >
968 {};
970 //*************************************************************************************************
971 
972 
973 
974 
975 //=================================================================================================
976 //
977 // ISUPPER SPECIALIZATIONS
978 //
979 //=================================================================================================
980 
981 //*************************************************************************************************
983 template< typename MT, bool SO >
984 struct IsUpper< SMatTransExpr<MT,SO> >
985  : public BoolConstant< IsLower<MT>::value >
986 {};
988 //*************************************************************************************************
989 
990 
991 
992 
993 //=================================================================================================
994 //
995 // ISUNIUPPER SPECIALIZATIONS
996 //
997 //=================================================================================================
998 
999 //*************************************************************************************************
1001 template< typename MT, bool SO >
1002 struct IsUniUpper< SMatTransExpr<MT,SO> >
1003  : public BoolConstant< IsUniLower<MT>::value >
1004 {};
1006 //*************************************************************************************************
1007 
1008 
1009 
1010 
1011 //=================================================================================================
1012 //
1013 // ISSTRICTLYUPPER SPECIALIZATIONS
1014 //
1015 //=================================================================================================
1016 
1017 //*************************************************************************************************
1019 template< typename MT, bool SO >
1020 struct IsStrictlyUpper< SMatTransExpr<MT,SO> >
1021  : public BoolConstant< IsStrictlyLower<MT>::value >
1022 {};
1024 //*************************************************************************************************
1025 
1026 
1027 
1028 
1029 //=================================================================================================
1030 //
1031 // EXPRESSION TRAIT SPECIALIZATIONS
1032 //
1033 //=================================================================================================
1034 
1035 //*************************************************************************************************
1037 template< typename MT >
1038 struct SMatTransExprTrait< SMatTransExpr<MT,false> >
1039 {
1040  public:
1041  //**********************************************************************************************
1042  using Type = If_< And< IsSparseMatrix<MT>, IsColumnMajorMatrix<MT> >
1043  , Operand_< SMatTransExpr<MT,false> >
1044  , INVALID_TYPE >;
1045  //**********************************************************************************************
1046 };
1048 //*************************************************************************************************
1049 
1050 
1051 //*************************************************************************************************
1053 template< typename MT >
1054 struct TSMatTransExprTrait< SMatTransExpr<MT,true> >
1055 {
1056  public:
1057  //**********************************************************************************************
1058  using Type = If_< And< IsSparseMatrix<MT>, IsRowMajorMatrix<MT> >
1059  , Operand_< SMatTransExpr<MT,true> >
1060  , INVALID_TYPE >;
1061  //**********************************************************************************************
1062 };
1064 //*************************************************************************************************
1065 
1066 
1067 //*************************************************************************************************
1069 template< typename MT, bool SO, bool AF >
1070 struct SubmatrixExprTrait< SMatTransExpr<MT,SO>, AF >
1071 {
1072  public:
1073  //**********************************************************************************************
1074  using Type = TransExprTrait_< SubmatrixExprTrait_<const MT,AF> >;
1075  //**********************************************************************************************
1076 };
1078 //*************************************************************************************************
1079 
1080 
1081 //*************************************************************************************************
1083 template< typename MT, bool SO >
1084 struct RowExprTrait< SMatTransExpr<MT,SO> >
1085 {
1086  public:
1087  //**********************************************************************************************
1088  using Type = TransExprTrait_< ColumnExprTrait_<const MT> >;
1089  //**********************************************************************************************
1090 };
1092 //*************************************************************************************************
1093 
1094 
1095 //*************************************************************************************************
1097 template< typename MT, bool SO >
1098 struct ColumnExprTrait< SMatTransExpr<MT,SO> >
1099 {
1100  public:
1101  //**********************************************************************************************
1102  using Type = TransExprTrait_< RowExprTrait_<const MT> >;
1103  //**********************************************************************************************
1104 };
1106 //*************************************************************************************************
1107 
1108 } // namespace blaze
1109 
1110 #endif
ReturnType value() const
Access to the current value of the sparse element.
Definition: SMatTransExpr.h:234
size_t nonZeros() const
Returns the number of non-zero elements in the sparse matrix.
Definition: SMatTransExpr.h:384
Header file for the sparse matrix transposer.
Header file for auxiliary alias declarations.
Header file for the Rows type trait.
Header file for the IsUniUpper type trait.
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: SMatTransExpr.h:374
ConstIterator(IteratorType it)
Constructor for the ConstIterator class.
Definition: SMatTransExpr.h:193
Header file for basic type definitions.
ConstIterator begin(size_t i) const
Returns an iterator to the first non-zero element of row/column i.
Definition: SMatTransExpr.h:343
ReturnType_< MT > ReturnType
Return type for expression template evaluations.
Definition: SMatTransExpr.h:157
EnableIf_< IsDenseMatrix< MT1 > > smpSubAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the SMP subtraction assignment of a matrix to dense matrix.
Definition: DenseMatrix.h:160
Header file for the IsSparseMatrix type trait.
#define BLAZE_CONSTRAINT_MUST_BE_MATRIX_WITH_STORAGE_ORDER(T, SO)
Constraint on the data type.In case the given data type T is not a dense or sparse matrix type and in...
Definition: StorageOrder.h:63
SMatTransExpr(const MT &sm) noexcept
Constructor for the SMatTransExpr class.
Definition: SMatTransExpr.h:299
Header file for the MatTransExpr base class.
Iterator over the elements of the sparse matrix transposition expression.
Definition: SMatTransExpr.h:169
Header file for the ColumnExprTrait class template.
Header file for the IsColumnMajorMatrix type trait.
OppositeType_< MT > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: SMatTransExpr.h:154
CompositeType_< MT > CT
Composite type of the sparse matrix expression.
Definition: SMatTransExpr.h:114
Header file for the And class template.
const ValueType operator*() const
Direct access to the sparse matrix element at the current iterator position.
Definition: SMatTransExpr.h:214
Header file for the Computation base class.
If_< IsExpression< MT >, const MT, const MT & > Operand
Composite data type of the sparse matrix expression.
Definition: SMatTransExpr.h:163
ConstIterator end(size_t i) const
Returns an iterator just past the last non-zero element of row/column i.
Definition: SMatTransExpr.h:354
Header file for the RequiresEvaluation type trait.
Header file for the IsUniLower type trait.
typename T::ResultType ResultType_
Alias declaration for nested ResultType type definitions.The ResultType_ alias declaration provides a...
Definition: Aliases.h:323
EnableIf_< IsDenseMatrix< MT1 > > smpAddAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the SMP addition assignment of a matrix to a dense matrix.
Definition: DenseMatrix.h:129
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: SMatTransExpr.h:311
Base class for dense matrices.The DenseMatrix class is a base class for all dense matrix classes...
Definition: DenseMatrix.h:70
Base class for sparse matrices.The SparseMatrix class is a base class for all sparse matrix classes...
Definition: Forward.h:109
Constraint on the data type.
typename IfTrue< Condition, T1, T2 >::Type IfTrue_
Auxiliary alias declaration for the IfTrue class template.The IfTrue_ alias declaration provides a co...
Definition: If.h:109
typename T::ReturnType ReturnType_
Alias declaration for nested ReturnType type definitions.The ReturnType_ alias declaration provides a...
Definition: Aliases.h:343
Header file for the SparseMatrix base class.
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: SMatTransExpr.h:468
std::iterator_traits< IteratorType >::reference ReferenceType
Reference return type.
Definition: SMatTransExpr.h:179
Constraint on the data type.
Compile time check to query the requirement to evaluate an expression.Via this type trait it is possi...
Definition: RequiresEvaluation.h:72
typename T::CompositeType CompositeType_
Alias declaration for nested CompositeType type definitions.The CompositeType_ alias declaration prov...
Definition: Aliases.h:83
const IteratorType operator->() const
Direct access to the sparse matrix element at the current iterator position.
Definition: SMatTransExpr.h:224
Operand sm_
Sparse matrix of the transposition expression.
Definition: SMatTransExpr.h:485
std::forward_iterator_tag IteratorCategory
The iterator category.
Definition: SMatTransExpr.h:176
Header file for the IsStrictlyUpper type trait.
Header file for the IsSymmetric type trait.
bool operator==(const ConstIterator &rhs) const
Equality comparison between two ConstIterator objects.
Definition: SMatTransExpr.h:255
ConstIterator lowerBound(size_t i, size_t j) const
Returns an iterator to the first index not less then the given index.
Definition: SMatTransExpr.h:420
Namespace of the Blaze C++ math library.
Definition: Blaze.h:57
Header file for the If class template.
IteratorType it_
Iterator over the elements of the sparse matrix expression.
Definition: SMatTransExpr.h:284
Header file for the SMatTransExprTrait class template.
EnableIf_< IsDenseMatrix< MT1 > > smpAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the SMP assignment of a matrix to a dense matrix.
Definition: DenseMatrix.h:98
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: SMatTransExpr.h:326
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: SMatTransExpr.h:364
std::iterator_traits< IteratorType >::value_type ValueType
Type of the underlying pointers.
Definition: SMatTransExpr.h:177
#define BLAZE_THROW_OUT_OF_RANGE(MESSAGE)
Macro for the emission of a std::out_of_range exception.This macro encapsulates the default way of Bl...
Definition: Exception.h:331
Header file for the Columns type trait.
SMatTransExpr< MT, SO > This
Type of this SMatTransExpr instance.
Definition: SMatTransExpr.h:152
typename T::ElementType ElementType_
Alias declaration for nested ElementType type definitions.The ElementType_ alias declaration provides...
Definition: Aliases.h:163
Expression object for the transposition of a dense matrix.The DMatTransposer class is a wrapper objec...
Definition: DMatTransposer.h:80
Header file for the IsLower type trait.
std::iterator_traits< IteratorType >::difference_type DifferenceType
Difference between two iterators.
Definition: SMatTransExpr.h:180
size_t nonZeros(size_t i) const
Returns the number of non-zero elements in the specified row/column.
Definition: SMatTransExpr.h:395
Operand operand() const noexcept
Returns the sparse matrix operand.
Definition: SMatTransExpr.h:444
bool canSMPAssign() const noexcept
Returns whether the expression can be used in SMP assignments.
Definition: SMatTransExpr.h:478
Header file for the TSMatTransExprTrait class template.
Constraints on the storage order of matrix types.
ConstIterator upperBound(size_t i, size_t j) const
Returns an iterator to the first index greater then the given index.
Definition: SMatTransExpr.h:433
Header file for the exception macros of the math module.
Constraint on the data type.
Header file for the RowExprTrait class template.
Header file for all forward declarations for expression class templates.
Header file for the EnableIf class template.
Header file for the IsStrictlyLower type trait.
IteratorCategory iterator_category
The iterator category.
Definition: SMatTransExpr.h:183
Header file for the dense matrix transposer.
Expression object for the transposition of a sparse matrix.The SMatTransposer class is a wrapper obje...
Definition: Forward.h:105
ResultType_< MT > RT
Result type of the sparse matrix expression.
Definition: SMatTransExpr.h:113
Header file for the SubmatrixExprTrait class template.
ConstIterator & operator++()
Pre-increment operator.
Definition: SMatTransExpr.h:203
Header file for run time assertion macros.
DifferenceType difference_type
Difference between two iterators.
Definition: SMatTransExpr.h:187
Utility type for generic codes.
typename If< T1, T2, T3 >::Type If_
Auxiliary alias declaration for the If class template.The If_ alias declaration provides a convenient...
Definition: If.h:160
IfTrue_< useAssign, const ResultType, const SMatTransExpr & > CompositeType
Data type for composite expression templates.
Definition: SMatTransExpr.h:160
Header file for the TransExprTrait class template.
ElementType_< MT > ElementType
Resulting element type.
Definition: SMatTransExpr.h:156
#define BLAZE_CONSTRAINT_MUST_NOT_REQUIRE_EVALUATION(T)
Constraint on the data type.In case the given data type T requires an intermediate evaluation within ...
Definition: RequiresEvaluation.h:81
IntegralConstant< bool, B > BoolConstant
Generic wrapper for a compile time constant boolean value.The BoolConstant class template represents ...
Definition: IntegralConstant.h:100
DifferenceType operator-(const ConstIterator &rhs) const
Calculating the number of elements between two expression iterators.
Definition: SMatTransExpr.h:277
Header file for the RemoveReference type trait.
typename EnableIf< Condition, T >::Type EnableIf_
Auxiliary alias declaration for the EnableIf class template.The EnableIf_ alias declaration provides ...
Definition: EnableIf.h:223
typename T::OppositeType OppositeType_
Alias declaration for nested OppositeType type definitions.The OppositeType_ alias declaration provid...
Definition: Aliases.h:243
ConstIterator_< RemoveReference_< Operand > > IteratorType
Iterator type of the sparse matrix expression.
Definition: SMatTransExpr.h:174
size_t index() const
Access to the current index of the sparse element.
Definition: SMatTransExpr.h:244
typename T::ConstIterator ConstIterator_
Alias declaration for nested ConstIterator type definitions.The ConstIterator_ alias declaration prov...
Definition: Aliases.h:103
PointerType pointer
Pointer return type.
Definition: SMatTransExpr.h:185
Header file for the IsRowMajorMatrix type trait.
ValueType value_type
Type of the underlying pointers.
Definition: SMatTransExpr.h:184
const DMatTransExpr< MT,!SO > trans(const DenseMatrix< MT, SO > &dm)
Calculation of the transpose of the given dense matrix.
Definition: DMatTransExpr.h:950
Header file for the IsComputation type trait class.
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: SMatTransExpr.h:456
#define BLAZE_FUNCTION_TRACE
Function trace macro.This macro can be used to reliably trace function calls. In case function tracin...
Definition: FunctionTrace.h:157
Expression object for sparse matrix transpositions.The SMatTransExpr class represents the compile tim...
Definition: Forward.h:104
Header file for the IntegralConstant class template.
ConstIterator find(size_t i, size_t j) const
Searches for a specific matrix element.
Definition: SMatTransExpr.h:407
TransposeType_< MT > ResultType
Result type for expression template evaluations.
Definition: SMatTransExpr.h:153
ResultType_< MT > TransposeType
Transpose type for expression template evaluations.
Definition: SMatTransExpr.h:155
bool operator!=(const ConstIterator &rhs) const
Inequality comparison between two ConstIterator objects.
Definition: SMatTransExpr.h:266
std::iterator_traits< IteratorType >::pointer PointerType
Pointer return type.
Definition: SMatTransExpr.h:178
typename T::TransposeType TransposeType_
Alias declaration for nested TransposeType type definitions.The TransposeType_ alias declaration prov...
Definition: Aliases.h:403
Header file for the IsUpper type trait.
Header file for the empty type.
Header file for the IsHermitian type trait.
#define BLAZE_INTERNAL_ASSERT(expr, msg)
Run time assertion macro for internal checks.In case of an invalid run time expression, the program execution is terminated. The BLAZE_INTERNAL_ASSERT macro can be disabled by setting the BLAZE_USER_ASSERTION flag to zero or by defining NDEBUG during the compilation.
Definition: Assert.h:101
#define BLAZE_CONSTRAINT_MUST_BE_SPARSE_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is not a sparse, N-dimensional matrix type...
Definition: SparseMatrix.h:61
ReferenceType reference
Reference return type.
Definition: SMatTransExpr.h:186
Header file for the IsExpression type trait class.
Header file for the FunctionTrace class.