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>
78 #include <blaze/util/Assert.h>
79 #include <blaze/util/EmptyType.h>
80 #include <blaze/util/EnableIf.h>
83 #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>
90 
91 
92 namespace blaze {
93 
94 //=================================================================================================
95 //
96 // CLASS SMATTRANSEXPR
97 //
98 //=================================================================================================
99 
100 //*************************************************************************************************
107 template< typename MT // Type of the sparse matrix
108  , bool SO > // Storage order
109 class SMatTransExpr : public SparseMatrix< SMatTransExpr<MT,SO>, SO >
110  , private MatTransExpr
111  , private If< IsComputation<MT>, Computation, EmptyType >::Type
112 {
113  private:
114  //**Type definitions****************************************************************************
115  typedef ResultType_<MT> RT;
117  //**********************************************************************************************
118 
119  //**Serial evaluation strategy******************************************************************
121 
127  enum : bool { useAssign = RequiresEvaluation<MT>::value };
128 
130  template< typename MT2 >
132  struct UseAssign {
133  enum : bool { value = useAssign };
134  };
136  //**********************************************************************************************
137 
138  //**Parallel evaluation strategy****************************************************************
140 
145  template< typename MT2 >
146  struct UseSMPAssign {
147  enum : bool { value = MT2::smpAssignable && useAssign };
148  };
150  //**********************************************************************************************
151 
152  //**********************************************************************************************
154 
158  template< typename MT2 >
159  struct GetConstIterator {
161  struct Success { using Type = typename MT2::ConstIterator; };
162  struct Failure { using Type = INVALID_TYPE; };
163  using Type = typename If_< HasConstIterator<MT2>, Success, Failure >::Type;
164  };
166  //**********************************************************************************************
167 
168  public:
169  //**Type definitions****************************************************************************
176 
179 
181  typedef typename GetConstIterator<MT>::Type ConstIterator;
182 
184  typedef If_< IsExpression<MT>, const MT, const MT& > Operand;
185  //**********************************************************************************************
186 
187  //**Compilation flags***************************************************************************
189  enum : bool { smpAssignable = MT::smpAssignable };
190  //**********************************************************************************************
191 
192  //**Constructor*********************************************************************************
197  explicit inline SMatTransExpr( const MT& sm ) noexcept
198  : sm_( sm )
199  {}
200  //**********************************************************************************************
201 
202  //**Access operator*****************************************************************************
209  inline ReturnType operator()( size_t i, size_t j ) const {
210  BLAZE_INTERNAL_ASSERT( i < sm_.columns(), "Invalid row access index" );
211  BLAZE_INTERNAL_ASSERT( j < sm_.rows() , "Invalid column access index" );
212  return sm_(j,i);
213  }
214  //**********************************************************************************************
215 
216  //**At function*********************************************************************************
224  inline ReturnType at( size_t i, size_t j ) const {
225  if( i >= sm_.columns() ) {
226  BLAZE_THROW_OUT_OF_RANGE( "Invalid row access index" );
227  }
228  if( j >= sm_.rows() ) {
229  BLAZE_THROW_OUT_OF_RANGE( "Invalid column access index" );
230  }
231  return (*this)(i,j);
232  }
233  //**********************************************************************************************
234 
235  //**Begin function******************************************************************************
241  inline ConstIterator begin( size_t i ) const {
242  return sm_.begin(i);
243  }
244  //**********************************************************************************************
245 
246  //**End function********************************************************************************
252  inline ConstIterator end( size_t i ) const {
253  return sm_.end(i);
254  }
255  //**********************************************************************************************
256 
257  //**Rows function*******************************************************************************
262  inline size_t rows() const noexcept {
263  return sm_.columns();
264  }
265  //**********************************************************************************************
266 
267  //**Columns function****************************************************************************
272  inline size_t columns() const noexcept {
273  return sm_.rows();
274  }
275  //**********************************************************************************************
276 
277  //**NonZeros function***************************************************************************
282  inline size_t nonZeros() const {
283  return sm_.nonZeros();
284  }
285  //**********************************************************************************************
286 
287  //**NonZeros function***************************************************************************
293  inline size_t nonZeros( size_t i ) const {
294  return sm_.nonZeros( i );
295  }
296  //**********************************************************************************************
297 
298  //**Find function*******************************************************************************
305  inline ConstIterator find( size_t i, size_t j ) const {
307  return sm_.find( j, i );
308  }
309  //**********************************************************************************************
310 
311  //**LowerBound function*************************************************************************
318  inline ConstIterator lowerBound( size_t i, size_t j ) const {
320  return sm_.lowerBound( j, i );
321  }
322  //**********************************************************************************************
323 
324  //**UpperBound function*************************************************************************
331  inline ConstIterator upperBound( size_t i, size_t j ) const {
333  return sm_.upperBound( j, i );
334  }
335  //**********************************************************************************************
336 
337  //**Operand access******************************************************************************
342  inline Operand operand() const noexcept {
343  return sm_;
344  }
345  //**********************************************************************************************
346 
347  //**********************************************************************************************
353  template< typename T >
354  inline bool canAlias( const T* alias ) const noexcept {
355  return sm_.isAliased( alias );
356  }
357  //**********************************************************************************************
358 
359  //**********************************************************************************************
365  template< typename T >
366  inline bool isAliased( const T* alias ) const noexcept {
367  return sm_.isAliased( alias );
368  }
369  //**********************************************************************************************
370 
371  //**********************************************************************************************
376  inline bool canSMPAssign() const noexcept {
377  return sm_.canSMPAssign();
378  }
379  //**********************************************************************************************
380 
381  private:
382  //**Member variables****************************************************************************
383  Operand sm_;
384  //**********************************************************************************************
385 
386  //**Assignment to dense matrices****************************************************************
400  template< typename MT2 // Type of the target dense matrix
401  , bool SO2 > // Storage order of the target dense matrix
402  friend inline EnableIf_< UseAssign<MT2> >
403  assign( DenseMatrix<MT2,SO2>& lhs, const SMatTransExpr& rhs )
404  {
406 
407  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
408  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
409 
410  DMatTransposer<MT2,!SO2> tmp( ~lhs );
411  assign( tmp, rhs.sm_ );
412  }
414  //**********************************************************************************************
415 
416  //**Assignment to sparse matrices***************************************************************
430  template< typename MT2 // Type of the target sparse matrix
431  , bool SO2 > // Storage order of the target sparse matrix
432  friend inline EnableIf_< UseAssign<MT2> >
433  assign( SparseMatrix<MT2,SO2>& lhs, const SMatTransExpr& rhs )
434  {
436 
437  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
438  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
439 
440  SMatTransposer<MT2,!SO2> tmp( ~lhs );
441  assign( tmp, rhs.sm_ );
442  }
444  //**********************************************************************************************
445 
446  //**Addition assignment to dense matrices*******************************************************
460  template< typename MT2 // Type of the target dense matrix
461  , bool SO2 > // Storage order of the target dense matrix
462  friend inline EnableIf_< UseAssign<MT2> >
463  addAssign( DenseMatrix<MT2,SO2>& lhs, const SMatTransExpr& rhs )
464  {
466 
467  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
468  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
469 
470  DMatTransposer<MT2,!SO2> tmp( ~lhs );
471  addAssign( tmp, rhs.sm_ );
472  }
474  //**********************************************************************************************
475 
476  //**Addition assignment to sparse matrices******************************************************
477  // No special implementation for the addition assignment to sparse matrices.
478  //**********************************************************************************************
479 
480  //**Subtraction assignment to dense matrices****************************************************
494  template< typename MT2 // Type of the target dense matrix
495  , bool SO2 > // Storage order of the target dense matrix
496  friend inline EnableIf_< UseAssign<MT2> >
497  subAssign( DenseMatrix<MT2,SO2>& lhs, const SMatTransExpr& rhs )
498  {
500 
501  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
502  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
503 
504  DMatTransposer<MT2,!SO2> tmp( ~lhs );
505  subAssign( tmp, rhs.sm_ );
506  }
508  //**********************************************************************************************
509 
510  //**Subtraction assignment to sparse matrices***************************************************
511  // No special implementation for the subtraction assignment to sparse matrices.
512  //**********************************************************************************************
513 
514  //**Multiplication assignment to dense matrices*************************************************
515  // No special implementation for the multiplication assignment to dense matrices.
516  //**********************************************************************************************
517 
518  //**Multiplication assignment to sparse matrices************************************************
519  // No special implementation for the multiplication assignment to sparse matrices.
520  //**********************************************************************************************
521 
522  //**SMP assignment to dense matrices************************************************************
536  template< typename MT2 // Type of the target dense matrix
537  , bool SO2 > // Storage order of the target dense matrix
538  friend inline EnableIf_< UseSMPAssign<MT2> >
539  smpAssign( DenseMatrix<MT2,SO2>& lhs, const SMatTransExpr& rhs )
540  {
542 
543  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
544  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
545 
546  DMatTransposer<MT2,!SO2> tmp( ~lhs );
547  smpAssign( tmp, rhs.sm_ );
548  }
550  //**********************************************************************************************
551 
552  //**SMP assignment to sparse matrices***********************************************************
566  template< typename MT2 // Type of the target sparse matrix
567  , bool SO2 > // Storage order of the target sparse matrix
568  friend inline EnableIf_< UseSMPAssign<MT2> >
569  smpAssign( SparseMatrix<MT2,SO2>& lhs, const SMatTransExpr& rhs )
570  {
572 
573  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
574  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
575 
576  SMatTransposer<MT2,!SO2> tmp( ~lhs );
577  smpAssign( tmp, rhs.sm_ );
578  }
580  //**********************************************************************************************
581 
582  //**SMP addition 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_< UseSMPAssign<MT2> >
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  smpAddAssign( tmp, rhs.sm_ );
608  }
610  //**********************************************************************************************
611 
612  //**SMP addition assignment to sparse matrices**************************************************
613  // No special implementation for the SMP addition assignment to sparse matrices.
614  //**********************************************************************************************
615 
616  //**SMP subtraction assignment to dense matrices************************************************
631  template< typename MT2 // Type of the target dense matrix
632  , bool SO2 > // Storage order of the target dense matrix
633  friend inline EnableIf_< UseSMPAssign<MT2> >
635  {
637 
638  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
639  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
640 
641  DMatTransposer<MT2,!SO2> tmp( ~lhs );
642  smpSubAssign( tmp, rhs.sm_ );
643  }
645  //**********************************************************************************************
646 
647  //**SMP subtraction assignment to sparse matrices***********************************************
648  // No special implementation for the SMP subtraction assignment to sparse matrices.
649  //**********************************************************************************************
650 
651  //**SMP multiplication assignment to dense matrices*********************************************
652  // No special implementation for the SMP multiplication assignment to dense matrices.
653  //**********************************************************************************************
654 
655  //**SMP multiplication assignment to sparse matrices********************************************
656  // No special implementation for the SMP multiplication assignment to sparse matrices.
657  //**********************************************************************************************
658 
659  //**Compile time checks*************************************************************************
664  //**********************************************************************************************
665 };
666 //*************************************************************************************************
667 
668 
669 
670 
671 //=================================================================================================
672 //
673 // GLOBAL OPERATORS
674 //
675 //=================================================================================================
676 
677 //*************************************************************************************************
696 template< typename MT // Type of the sparse matrix
697  , bool SO > // Storage order
699 {
701 
702  return SMatTransExpr<MT,!SO>( ~sm );
703 }
704 //*************************************************************************************************
705 
706 
707 
708 
709 //=================================================================================================
710 //
711 // GLOBAL RESTRUCTURING FUNCTIONS
712 //
713 //=================================================================================================
714 
715 //*************************************************************************************************
735 template< typename MT // Type of the dense matrix
736  , bool SO > // Storage order
737 inline typename SMatTransExpr<MT,SO>::Operand trans( const SMatTransExpr<MT,SO>& sm )
738 {
740 
741  return sm.operand();
742 }
744 //*************************************************************************************************
745 
746 
747 //*************************************************************************************************
759 template< typename MT // Type of the left-hand side sparse matrix
760  , typename ST // Type of the right-hand side scalar value
761  , bool SO > // Storage order
762 inline const MultExprTrait_< TransExprTrait_<MT>, ST >
764 {
766 
767  return trans( sm.leftOperand() ) * sm.rightOperand();
768 }
770 //*************************************************************************************************
771 
772 
773 
774 
775 //=================================================================================================
776 //
777 // ROWS SPECIALIZATIONS
778 //
779 //=================================================================================================
780 
781 //*************************************************************************************************
783 template< typename MT, bool SO >
784 struct Rows< SMatTransExpr<MT,SO> > : public Columns<MT>
785 {};
787 //*************************************************************************************************
788 
789 
790 
791 
792 //=================================================================================================
793 //
794 // COLUMNS SPECIALIZATIONS
795 //
796 //=================================================================================================
797 
798 //*************************************************************************************************
800 template< typename MT, bool SO >
801 struct Columns< SMatTransExpr<MT,SO> > : public Rows<MT>
802 {};
804 //*************************************************************************************************
805 
806 
807 
808 
809 //=================================================================================================
810 //
811 // ISSYMMETRIC SPECIALIZATIONS
812 //
813 //=================================================================================================
814 
815 //*************************************************************************************************
817 template< typename MT, bool SO >
818 struct IsSymmetric< SMatTransExpr<MT,SO> >
819  : public BoolConstant< IsSymmetric<MT>::value >
820 {};
822 //*************************************************************************************************
823 
824 
825 
826 
827 //=================================================================================================
828 //
829 // ISHERMITIAN SPECIALIZATIONS
830 //
831 //=================================================================================================
832 
833 //*************************************************************************************************
835 template< typename MT, bool SO >
836 struct IsHermitian< SMatTransExpr<MT,SO> >
837  : public BoolConstant< IsHermitian<MT>::value >
838 {};
840 //*************************************************************************************************
841 
842 
843 
844 
845 //=================================================================================================
846 //
847 // ISLOWER SPECIALIZATIONS
848 //
849 //=================================================================================================
850 
851 //*************************************************************************************************
853 template< typename MT, bool SO >
854 struct IsLower< SMatTransExpr<MT,SO> >
855  : public BoolConstant< IsUpper<MT>::value >
856 {};
858 //*************************************************************************************************
859 
860 
861 
862 
863 //=================================================================================================
864 //
865 // ISUNILOWER SPECIALIZATIONS
866 //
867 //=================================================================================================
868 
869 //*************************************************************************************************
871 template< typename MT, bool SO >
872 struct IsUniLower< SMatTransExpr<MT,SO> >
873  : public BoolConstant< IsUniUpper<MT>::value >
874 {};
876 //*************************************************************************************************
877 
878 
879 
880 
881 //=================================================================================================
882 //
883 // ISSTRICTLYLOWER SPECIALIZATIONS
884 //
885 //=================================================================================================
886 
887 //*************************************************************************************************
889 template< typename MT, bool SO >
890 struct IsStrictlyLower< SMatTransExpr<MT,SO> >
891  : public BoolConstant< IsStrictlyUpper<MT>::value >
892 {};
894 //*************************************************************************************************
895 
896 
897 
898 
899 //=================================================================================================
900 //
901 // ISUPPER SPECIALIZATIONS
902 //
903 //=================================================================================================
904 
905 //*************************************************************************************************
907 template< typename MT, bool SO >
908 struct IsUpper< SMatTransExpr<MT,SO> >
909  : public BoolConstant< IsLower<MT>::value >
910 {};
912 //*************************************************************************************************
913 
914 
915 
916 
917 //=================================================================================================
918 //
919 // ISUNIUPPER SPECIALIZATIONS
920 //
921 //=================================================================================================
922 
923 //*************************************************************************************************
925 template< typename MT, bool SO >
926 struct IsUniUpper< SMatTransExpr<MT,SO> >
927  : public BoolConstant< IsUniLower<MT>::value >
928 {};
930 //*************************************************************************************************
931 
932 
933 
934 
935 //=================================================================================================
936 //
937 // ISSTRICTLYUPPER SPECIALIZATIONS
938 //
939 //=================================================================================================
940 
941 //*************************************************************************************************
943 template< typename MT, bool SO >
944 struct IsStrictlyUpper< SMatTransExpr<MT,SO> >
945  : public BoolConstant< IsStrictlyLower<MT>::value >
946 {};
948 //*************************************************************************************************
949 
950 
951 
952 
953 //=================================================================================================
954 //
955 // EXPRESSION TRAIT SPECIALIZATIONS
956 //
957 //=================================================================================================
958 
959 //*************************************************************************************************
961 template< typename MT >
962 struct SMatTransExprTrait< SMatTransExpr<MT,false> >
963 {
964  public:
965  //**********************************************************************************************
968  , INVALID_TYPE >;
969  //**********************************************************************************************
970 };
972 //*************************************************************************************************
973 
974 
975 //*************************************************************************************************
977 template< typename MT >
978 struct TSMatTransExprTrait< SMatTransExpr<MT,true> >
979 {
980  public:
981  //**********************************************************************************************
984  , INVALID_TYPE >;
985  //**********************************************************************************************
986 };
988 //*************************************************************************************************
989 
990 
991 //*************************************************************************************************
993 template< typename MT, typename ST >
994 struct SMatTransExprTrait< SMatScalarMultExpr<MT,ST,false> >
995 {
996  public:
997  //**********************************************************************************************
999  , MultExprTrait_< TransExprTrait_<MT>, ST >
1000  , INVALID_TYPE >;
1001  //**********************************************************************************************
1002 };
1004 //*************************************************************************************************
1005 
1006 
1007 //*************************************************************************************************
1009 template< typename MT, typename ST >
1010 struct TSMatTransExprTrait< SMatScalarMultExpr<MT,ST,true> >
1011 {
1012  public:
1013  //**********************************************************************************************
1015  , MultExprTrait_< TransExprTrait_<MT>, ST >
1016  , INVALID_TYPE >;
1017  //**********************************************************************************************
1018 };
1020 //*************************************************************************************************
1021 
1022 
1023 //*************************************************************************************************
1025 template< typename MT, bool SO, bool AF >
1026 struct SubmatrixExprTrait< SMatTransExpr<MT,SO>, AF >
1027 {
1028  public:
1029  //**********************************************************************************************
1031  //**********************************************************************************************
1032 };
1034 //*************************************************************************************************
1035 
1036 
1037 //*************************************************************************************************
1039 template< typename MT, bool SO >
1040 struct RowExprTrait< SMatTransExpr<MT,SO> >
1041 {
1042  public:
1043  //**********************************************************************************************
1045  //**********************************************************************************************
1046 };
1048 //*************************************************************************************************
1049 
1050 
1051 //*************************************************************************************************
1053 template< typename MT, bool SO >
1054 struct ColumnExprTrait< SMatTransExpr<MT,SO> >
1055 {
1056  public:
1057  //**********************************************************************************************
1059  //**********************************************************************************************
1060 };
1062 //*************************************************************************************************
1063 
1064 } // namespace blaze
1065 
1066 #endif
size_t nonZeros(size_t i) const
Returns the number of non-zero elements in the specified row/column.
Definition: SMatTransExpr.h:293
Header file for the sparse matrix transposer.
Header file for auxiliary alias declarations.
Compile time check for numeric types.This type trait tests whether or not the given template paramete...
Definition: IsNumeric.h:79
Header file for the Rows type trait.
Header file for the IsUniUpper type trait.
RightOperand rightOperand() const noexcept
Returns the right-hand side scalar operand.
Definition: SMatScalarMultExpr.h:492
Header file for basic type definitions.
size_t nonZeros() const
Returns the number of non-zero elements in the sparse matrix.
Definition: SMatTransExpr.h:282
ReturnType_< MT > ReturnType
Return type for expression template evaluations.
Definition: SMatTransExpr.h:175
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.
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: SMatTransExpr.h:224
#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
Generic wrapper for a compile time constant integral value.The IntegralConstant class template repres...
Definition: IntegralConstant.h:71
SMatTransExpr(const MT &sm) noexcept
Constructor for the SMatTransExpr class.
Definition: SMatTransExpr.h:197
Header file for the MatTransExpr base class.
Header file for the ColumnExprTrait class template.
Header file for the IsColumnMajorMatrix type trait.
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: SMatTransExpr.h:209
LeftOperand leftOperand() const noexcept
Returns the left-hand side sparse matrix operand.
Definition: SMatScalarMultExpr.h:482
CompositeType_< MT > CT
Composite type of the sparse matrix expression.
Definition: SMatTransExpr.h:116
Header file for the And class template.
Compile time check for lower triangular matrices.This type trait tests whether or not the given templ...
Definition: IsLower.h:88
#define BLAZE_CREATE_HAS_TYPE_MEMBER_TYPE_TRAIT(TYPE_TRAIT_NAME, MEMBER_NAME)
Macro for the creation of a type trait for compile time checks for member types.This macro creates th...
Definition: HasMember.h:182
Evaluation of the expression type of a sparse matrix transpose operation.Via this type trait it is po...
Definition: TSMatTransExprTrait.h:74
Header file for the Computation base class.
Compile time check for upper triangular matrices.This type trait tests whether or not the given templ...
Definition: IsUpper.h:88
If_< IsExpression< MT >, const MT, const MT &> Operand
Composite data type of the sparse matrix expression.
Definition: SMatTransExpr.h:184
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
Base class for dense matrices.The DenseMatrix class is a base class for all dense matrix classes...
Definition: DenseMatrix.h:71
Base class for sparse matrices.The SparseMatrix class is a base class for all sparse matrix classes...
Definition: Forward.h:119
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: SMatTransExpr.h:366
bool canSMPAssign() const noexcept
Returns whether the expression can be used in SMP assignments.
Definition: SMatTransExpr.h:376
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.
Constraint on the data type.
typename MultExprTrait< T1, T2 >::Type MultExprTrait_
Auxiliary alias declaration for the MultExprTrait class template.The MultExprTrait_ alias declaration...
Definition: MultExprTrait.h:344
Header file for the MultExprTrait class template.
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
Compile time check for upper unitriangular matrices.This type trait tests whether or not the given te...
Definition: IsUniUpper.h:86
typename TransExprTrait< T >::Type TransExprTrait_
Auxiliary alias declaration for the TransExprTrait class template.The TransExprTrait_ alias declarati...
Definition: TransExprTrait.h:143
Operand sm_
Sparse matrix of the transposition expression.
Definition: SMatTransExpr.h:383
Header file for the IsStrictlyUpper type trait.
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: SMatTransExpr.h:272
ConstIterator begin(size_t i) const
Returns an iterator to the first non-zero element of row/column i.
Definition: SMatTransExpr.h:241
Header file for the IsSymmetric type trait.
Namespace of the Blaze C++ math library.
Definition: Blaze.h:57
Header file for the If class template.
Header file for the SMatTransExprTrait class template.
Compile time check for row-major matrix types.This type trait tests whether or not the given template...
Definition: IsRowMajorMatrix.h:83
const Element * ConstIterator
Iterator over constant elements.
Definition: CompressedMatrix.h:2939
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
#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:170
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
Evaluation of the expression type type of a submatrix operation.Via this type trait it is possible to...
Definition: SubmatrixExprTrait.h:80
ConstIterator upperBound(size_t i, size_t j) const
Returns an iterator to the first index greater then the given index.
Definition: SMatTransExpr.h:331
Header file for the IsLower type trait.
Header file for the TSMatTransExprTrait class template.
Constraints on the storage order of matrix types.
Compile time check for symmetric matrices.This type trait tests whether or not the given template par...
Definition: IsSymmetric.h:85
Header file for the exception macros of the math module.
Compile time check for strictly upper triangular matrices.This type trait tests whether or not the gi...
Definition: IsStrictlyUpper.h:86
Evaluation of the expression type type of a row operation.Via this type trait it is possible to evalu...
Definition: RowExprTrait.h:79
Constraint on the data type.
Header file for the RowExprTrait class template.
Expression object for sparse matrix-scalar multiplications.The SMatScalarMult class represents the co...
Definition: Forward.h:106
Header file for all forward declarations for expression class templates.
Header file for the EnableIf class template.
Header file for the IsStrictlyLower type trait.
Compile time check for lower unitriangular matrices.This type trait tests whether or not the given te...
Definition: IsUniLower.h:86
Header file for the dense matrix transposer.
Header file for the IsNumeric type trait.
GetConstIterator< MT >::Type ConstIterator
Iterator over the elements of the dense matrix.
Definition: SMatTransExpr.h:181
Expression object for the transposition of a sparse matrix.The SMatTransposer class is a wrapper obje...
Definition: Forward.h:115
ResultType_< MT > RT
Result type of the sparse matrix expression.
Definition: SMatTransExpr.h:115
Header file for the SubmatrixExprTrait class template.
ConstIterator find(size_t i, size_t j) const
Searches for a specific matrix element.
Definition: SMatTransExpr.h:305
Header file for run time assertion macros.
Compile time check for column-major matrix types.This type trait tests whether or not the given templ...
Definition: IsColumnMajorMatrix.h:83
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
ConstIterator end(size_t i) const
Returns an iterator just past the last non-zero element of row/column i.
Definition: SMatTransExpr.h:252
OppositeType_< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: SMatTransExpr.h:172
IfTrue_< useAssign, const ResultType, const SMatTransExpr &> CompositeType
Data type for composite expression templates.
Definition: SMatTransExpr.h:178
#define BLAZE_FUNCTION_TRACE
Function trace macro.This macro can be used to reliably trace function calls. In case function tracin...
Definition: FunctionTrace.h:93
Compile time check for Hermitian matrices.This type trait tests whether or not the given template par...
Definition: IsHermitian.h:85
Header file for the TransExprTrait class template.
ElementType_< MT > ElementType
Resulting element type.
Definition: SMatTransExpr.h:174
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: SMatTransExpr.h:354
Header file for the HasMember type traits.
#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
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
Operand operand() const noexcept
Returns the sparse matrix operand.
Definition: SMatTransExpr.h:342
Compile time check for strictly lower triangular matrices.This type trait tests whether or not the gi...
Definition: IsStrictlyLower.h:86
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:318
Evaluation of the expression type of a sparse matrix transpose operation.Via this type trait it is po...
Definition: SMatTransExprTrait.h:74
Header file for the IsRowMajorMatrix type trait.
const DMatTransExpr< MT,!SO > trans(const DenseMatrix< MT, SO > &dm)
Calculation of the transpose of the given dense matrix.
Definition: DMatTransExpr.h:733
Header file for the IsComputation type trait class.
Expression object for sparse matrix transpositions.The SMatTransExpr class represents the compile tim...
Definition: Forward.h:114
Header file for the IntegralConstant class template.
Compile time evaluation of the number of columns of a matrix.The Columns type trait evaluates the num...
Definition: Columns.h:76
Compile time evaluation of the number of rows of a matrix.The Rows type trait evaluates the number of...
Definition: Rows.h:76
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: SMatTransExpr.h:262
TransposeType_< MT > ResultType
Result type for expression template evaluations.
Definition: SMatTransExpr.h:171
ResultType_< MT > TransposeType
Transpose type for expression template evaluations.
Definition: SMatTransExpr.h:173
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.
Evaluation of the expression type type of a column operation.Via this type trait it is possible to ev...
Definition: ColumnExprTrait.h:78
#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
typename T::Operand Operand_
Alias declaration for nested Operand type definitions.The Operand_ alias declaration provides a conve...
Definition: Aliases.h:223
#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
Header file for the IsExpression type trait class.
Header file for the function trace functionality.