SMatDeclLowExpr.h
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1 //=================================================================================================
33 //=================================================================================================
34 
35 #ifndef _BLAZE_MATH_EXPRESSIONS_SMATDECLLOWEXPR_H_
36 #define _BLAZE_MATH_EXPRESSIONS_SMATDECLLOWEXPR_H_
37 
38 
39 //*************************************************************************************************
40 // Includes
41 //*************************************************************************************************
42 
43 #include <iterator>
45 #include <blaze/math/Aliases.h>
50 #include <blaze/math/Exception.h>
61 #include <blaze/util/Assert.h>
62 #include <blaze/util/DisableIf.h>
63 #include <blaze/util/EnableIf.h>
66 #include <blaze/util/InvalidType.h>
67 #include <blaze/util/mpl/If.h>
68 #include <blaze/util/TrueType.h>
69 #include <blaze/util/Types.h>
71 
72 
73 namespace blaze {
74 
75 //=================================================================================================
76 //
77 // CLASS SMATDECLLOWEXPR
78 //
79 //=================================================================================================
80 
81 //*************************************************************************************************
88 template< typename MT // Type of the sparse matrix
89  , bool SO > // Storage order
90 class SMatDeclLowExpr
91  : public DeclLowExpr< SparseMatrix< SMatDeclLowExpr<MT,SO>, SO > >
92  , public Declaration<MT>
93 {
94  private:
95  //**Type definitions****************************************************************************
96  using RT = ResultType_t<MT>;
97 
99  BLAZE_CREATE_GET_TYPE_MEMBER_TYPE_TRAIT( GetConstIterator, ConstIterator, INVALID_TYPE );
100  //**********************************************************************************************
101 
102  //**Serial evaluation strategy******************************************************************
104 
110  static constexpr bool useAssign = RequiresEvaluation_v<MT>;
111 
113  template< typename MT2 >
115  static constexpr bool UseAssign_v = useAssign;
117  //**********************************************************************************************
118 
119  //**Parallel evaluation strategy****************************************************************
121 
127  template< typename MT2 >
128  static constexpr bool UseSMPAssign_v = ( MT2::smpAssignable && useAssign );
130  //**********************************************************************************************
131 
132  public:
133  //**Type definitions****************************************************************************
141 
144 
146  using ConstIterator = GetConstIterator_t<MT>;
147 
149  using Operand = If_t< IsExpression_v<MT>, const MT, const MT& >;
150  //**********************************************************************************************
151 
152  //**Compilation flags***************************************************************************
154  static constexpr bool smpAssignable = MT::smpAssignable;
155  //**********************************************************************************************
156 
157  //**Constructor*********************************************************************************
162  explicit inline SMatDeclLowExpr( const MT& sm ) noexcept
163  : sm_( sm ) // Sparse matrix of the decllow expression
164  {
165  BLAZE_INTERNAL_ASSERT( isSquare( ~sm ), "Non-square matrix detected" );
166  }
167  //**********************************************************************************************
168 
169  //**Access operator*****************************************************************************
176  inline ReturnType operator()( size_t i, size_t j ) const {
177  BLAZE_INTERNAL_ASSERT( i < sm_.rows() , "Invalid row access index" );
178  BLAZE_INTERNAL_ASSERT( j < sm_.columns(), "Invalid column access index" );
179  return sm_(i,j);
180  }
181  //**********************************************************************************************
182 
183  //**At function*********************************************************************************
191  inline ReturnType at( size_t i, size_t j ) const {
192  if( i >= sm_.rows() ) {
193  BLAZE_THROW_OUT_OF_RANGE( "Invalid row access index" );
194  }
195  if( j >= sm_.columns() ) {
196  BLAZE_THROW_OUT_OF_RANGE( "Invalid column access index" );
197  }
198  return (*this)(i,j);
199  }
200  //**********************************************************************************************
201 
202  //**Begin function******************************************************************************
208  inline ConstIterator begin( size_t i ) const {
209  return ConstIterator( sm_.begin(i) );
210  }
211  //**********************************************************************************************
212 
213  //**End function********************************************************************************
219  inline ConstIterator end( size_t i ) const {
220  return ConstIterator( sm_.end(i) );
221  }
222  //**********************************************************************************************
223 
224  //**Rows function*******************************************************************************
229  inline size_t rows() const noexcept {
230  return sm_.rows();
231  }
232  //**********************************************************************************************
233 
234  //**Columns function****************************************************************************
239  inline size_t columns() const noexcept {
240  return sm_.columns();
241  }
242  //**********************************************************************************************
243 
244  //**NonZeros function***************************************************************************
249  inline size_t nonZeros() const {
250  return sm_.nonZeros();
251  }
252  //**********************************************************************************************
253 
254  //**NonZeros function***************************************************************************
260  inline size_t nonZeros( size_t i ) const {
261  return sm_.nonZeros(i);
262  }
263  //**********************************************************************************************
264 
265  //**Operand access******************************************************************************
270  inline Operand operand() const noexcept {
271  return sm_;
272  }
273  //**********************************************************************************************
274 
275  //**********************************************************************************************
281  template< typename T >
282  inline bool canAlias( const T* alias ) const noexcept {
283  return sm_.canAlias( alias );
284  }
285  //**********************************************************************************************
286 
287  //**********************************************************************************************
293  template< typename T >
294  inline bool isAliased( const T* alias ) const noexcept {
295  return sm_.isAliased( alias );
296  }
297  //**********************************************************************************************
298 
299  //**********************************************************************************************
304  inline bool canSMPAssign() const noexcept {
305  return sm_.canSMPAssign();
306  }
307  //**********************************************************************************************
308 
309  private:
310  //**Member variables****************************************************************************
312  //**********************************************************************************************
313 
314  //**Assignment to dense matrices****************************************************************
326  template< typename MT2 // Type of the target dense matrix
327  , bool SO2 > // Storage order of the target dense matrix
328  friend inline auto assign( DenseMatrix<MT2,SO2>& lhs, const SMatDeclLowExpr& rhs )
330  {
332 
333  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
334  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
335 
336  assign( ~lhs, rhs.sm_ );
337  }
339  //**********************************************************************************************
340 
341  //**Assignment to sparse matrices***************************************************************
353  template< typename MT2 // Type of the target sparse matrix
354  , bool SO2 > // Storage order of the target sparse matrix
355  friend inline auto assign( SparseMatrix<MT2,SO2>& lhs, const SMatDeclLowExpr& rhs )
357  {
359 
360  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
361  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
362 
363  assign( ~lhs, rhs.sm_ );
364  }
366  //**********************************************************************************************
367 
368  //**Addition assignment to dense matrices*******************************************************
380  template< typename MT2 // Type of the target dense matrix
381  , bool SO2 > // Storage order of the target dense matrix
382  friend inline auto addAssign( DenseMatrix<MT2,SO2>& lhs, const SMatDeclLowExpr& rhs )
383  -> EnableIf_t< UseAssign_v<MT2> >
384  {
386 
387  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
388  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
389 
390  addAssign( ~lhs, rhs.sm_ );
391  }
393  //**********************************************************************************************
394 
395  //**Addition assignment to sparse matrices******************************************************
407  template< typename MT2 // Type of the target sparse matrix
408  , bool SO2 > // Storage order of the target sparse matrix
409  friend inline auto addAssign( SparseMatrix<MT2,SO2>& lhs, const SMatDeclLowExpr& rhs )
410  -> EnableIf_t< UseAssign_v<MT2> >
411  {
413 
414  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
415  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
416 
417  addAssign( ~lhs, rhs.sm_ );
418  }
420  //**********************************************************************************************
421 
422  //**Subtraction assignment to dense matrices****************************************************
434  template< typename MT2 // Type of the target dense matrix
435  , bool SO2 > // Storage order of the target dense matrix
436  friend inline auto subAssign( DenseMatrix<MT2,SO2>& lhs, const SMatDeclLowExpr& rhs )
437  -> EnableIf_t< UseAssign_v<MT2> >
438  {
440 
441  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
442  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
443 
444  subAssign( ~lhs, rhs.sm_ );
445  }
447  //**********************************************************************************************
448 
449  //**Subtraction assignment to sparse matrices***************************************************
461  template< typename MT2 // Type of the target sparse matrix
462  , bool SO2 > // Storage order of the target sparse matrix
463  friend inline auto subAssign( SparseMatrix<MT2,SO2>& lhs, const SMatDeclLowExpr& rhs )
464  -> EnableIf_t< UseAssign_v<MT2> >
465  {
467 
468  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
469  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
470 
471  subAssign( ~lhs, rhs.sm_ );
472  }
474  //**********************************************************************************************
475 
476  //**Schur product assignment to dense matrices**************************************************
488  template< typename MT2 // Type of the target dense matrix
489  , bool SO2 > // Storage order of the target dense matrix
490  friend inline auto schurAssign( DenseMatrix<MT2,SO2>& lhs, const SMatDeclLowExpr& rhs )
491  -> EnableIf_t< UseAssign_v<MT2> >
492  {
494 
495  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
496  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
497 
498  schurAssign( ~lhs, rhs.sm_ );
499  }
501  //**********************************************************************************************
502 
503  //**Schur product assignment to sparse matrices*************************************************
515  template< typename MT2 // Type of the target sparse matrix
516  , bool SO2 > // Storage order of the target sparse matrix
517  friend inline auto schurAssign( SparseMatrix<MT2,SO2>& lhs, const SMatDeclLowExpr& rhs )
518  -> EnableIf_t< UseAssign_v<MT2> >
519  {
521 
522  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
523  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
524 
525  schurAssign( ~lhs, rhs.sm_ );
526  }
528  //**********************************************************************************************
529 
530  //**Multiplication assignment to dense matrices*************************************************
542  template< typename MT2 // Type of the target dense matrix
543  , bool SO2 > // Storage order of the target dense matrix
544  friend inline auto multAssign( DenseMatrix<MT2,SO2>& lhs, const SMatDeclLowExpr& rhs )
545  -> EnableIf_t< UseAssign_v<MT2> >
546  {
548 
549  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
550  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
551 
552  multAssign( ~lhs, rhs.sm_ );
553  }
555  //**********************************************************************************************
556 
557  //**Multiplication assignment to sparse matrices************************************************
569  template< typename MT2 // Type of the target sparse matrix
570  , bool SO2 > // Storage order of the target sparse matrix
571  friend inline auto multAssign( SparseMatrix<MT2,SO2>& lhs, const SMatDeclLowExpr& rhs )
572  -> EnableIf_t< UseAssign_v<MT2> >
573  {
575 
576  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
577  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
578 
579  multAssign( ~lhs, rhs.sm_ );
580  }
582  //**********************************************************************************************
583 
584  //**SMP 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 auto smpAssign( DenseMatrix<MT2,SO2>& lhs, const SMatDeclLowExpr& rhs )
599  -> EnableIf_t< UseSMPAssign_v<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  smpAssign( ~lhs, rhs.sm_ );
607  }
609  //**********************************************************************************************
610 
611  //**SMP assignment to sparse matrices***********************************************************
623  template< typename MT2 // Type of the target sparse matrix
624  , bool SO2 > // Storage order of the target sparse matrix
625  friend inline auto smpAssign( SparseMatrix<MT2,SO2>& lhs, const SMatDeclLowExpr& rhs )
626  -> EnableIf_t< UseSMPAssign_v<MT2> >
627  {
629 
630  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
631  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
632 
633  smpAssign( ~lhs, rhs.sm_ );
634  }
636  //**********************************************************************************************
637 
638  //**SMP addition assignment to dense matrices***************************************************
650  template< typename MT2 // Type of the target dense matrix
651  , bool SO2 > // Storage order of the target dense matrix
652  friend inline auto smpAddAssign( DenseMatrix<MT2,SO2>& lhs, const SMatDeclLowExpr& rhs )
653  -> EnableIf_t< UseSMPAssign_v<MT2> >
654  {
656 
657  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
658  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
659 
660  smpAddAssign( ~lhs, rhs.sm_ );
661  }
663  //**********************************************************************************************
664 
665  //**SMP addition assignment to sparse matrices**************************************************
677  template< typename MT2 // Type of the target sparse matrix
678  , bool SO2 > // Storage order of the target sparse matrix
679  friend inline auto smpAddAssign( SparseMatrix<MT2,SO2>& lhs, const SMatDeclLowExpr& rhs )
680  -> EnableIf_t< UseSMPAssign_v<MT2> >
681  {
683 
684  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
685  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
686 
687  smpAddAssign( ~lhs, rhs.sm_ );
688  }
690  //**********************************************************************************************
691 
692  //**SMP subtraction assignment to dense matrices************************************************
704  template< typename MT2 // Type of the target dense matrix
705  , bool SO2 > // Storage order of the target dense matrix
706  friend inline auto smpSubAssign( DenseMatrix<MT2,SO2>& lhs, const SMatDeclLowExpr& rhs )
707  -> EnableIf_t< UseSMPAssign_v<MT2> >
708  {
710 
711  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
712  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
713 
714  smpSubAssign( ~lhs, rhs.sm_ );
715  }
717  //**********************************************************************************************
718 
719  //**SMP subtraction assignment to sparse matrices***********************************************
731  template< typename MT2 // Type of the target sparse matrix
732  , bool SO2 > // Storage order of the target sparse matrix
733  friend inline auto smpSubAssign( SparseMatrix<MT2,SO2>& lhs, const SMatDeclLowExpr& rhs )
734  -> EnableIf_t< UseSMPAssign_v<MT2> >
735  {
737 
738  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
739  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
740 
741  smpSubAssign( ~lhs, rhs.sm_ );
742  }
744  //**********************************************************************************************
745 
746  //**SMP Schur product assignment to dense matrices**********************************************
758  template< typename MT2 // Type of the target dense matrix
759  , bool SO2 > // Storage order of the target dense matrix
760  friend inline auto smpSchurAssign( DenseMatrix<MT2,SO2>& lhs, const SMatDeclLowExpr& rhs )
761  -> EnableIf_t< UseSMPAssign_v<MT2> >
762  {
764 
765  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
766  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
767 
768  smpSchurAssign( ~lhs, rhs.sm_ );
769  }
771  //**********************************************************************************************
772 
773  //**SMP Schur product assignment to sparse matrices*********************************************
785  template< typename MT2 // Type of the target sparse matrix
786  , bool SO2 > // Storage order of the target sparse matrix
787  friend inline auto smpSchurAssign( SparseMatrix<MT2,SO2>& lhs, const SMatDeclLowExpr& rhs )
788  -> EnableIf_t< UseSMPAssign_v<MT2> >
789  {
791 
792  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
793  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
794 
795  smpSchurAssign( ~lhs, rhs.sm_ );
796  }
798  //**********************************************************************************************
799 
800  //**SMP multiplication assignment to dense matrices*********************************************
813  template< typename MT2 // Type of the target dense matrix
814  , bool SO2 > // Storage order of the target dense matrix
815  friend inline auto smpMultAssign( DenseMatrix<MT2,SO2>& lhs, const SMatDeclLowExpr& rhs )
816  -> EnableIf_t< UseSMPAssign_v<MT2> >
817  {
819 
820  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
821  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
822 
823  smpMultAssign( ~lhs, rhs.sm_ );
824  }
826  //**********************************************************************************************
827 
828  //**SMP multiplication assignment to sparse matrices********************************************
841  template< typename MT2 // Type of the target sparse matrix
842  , bool SO2 > // Storage order of the target sparse matrix
843  friend inline auto smpMultAssign( SparseMatrix<MT2,SO2>& lhs, const SMatDeclLowExpr& rhs )
844  -> EnableIf_t< UseSMPAssign_v<MT2> >
845  {
847 
848  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
849  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
850 
851  smpMultAssign( ~lhs, rhs.sm_ );
852  }
854  //**********************************************************************************************
855 
856  //**Compile time checks*************************************************************************
863  //**********************************************************************************************
864 };
865 //*************************************************************************************************
866 
867 
868 
869 
870 //=================================================================================================
871 //
872 // GLOBAL FUNCTIONS
873 //
874 //=================================================================================================
875 
876 //*************************************************************************************************
887 template< typename MT // Type of the sparse matrix
888  , bool SO // Storage order
889  , DisableIf_t< IsLower_v<MT> || IsUniUpper_v<MT> >* = nullptr >
890 inline const SMatDeclLowExpr<MT,SO> decllow_backend( const SparseMatrix<MT,SO>& sm )
891 {
893 
894  BLAZE_INTERNAL_ASSERT( isSquare( ~sm ), "Non-square matrix detected" );
895 
896  return SMatDeclLowExpr<MT,SO>( ~sm );
897 }
899 //*************************************************************************************************
900 
901 
902 //*************************************************************************************************
913 template< typename MT // Type of the sparse matrix
914  , bool SO // Storage order
915  , EnableIf_t< !IsLower_v<MT> && IsUniUpper_v<MT> >* = nullptr >
916 inline const IdentityMatrix<ElementType_t<MT>,SO> decllow_backend( const SparseMatrix<MT,SO>& sm )
917 {
919 
920  BLAZE_INTERNAL_ASSERT( isSquare( ~sm ), "Non-square matrix detected" );
921 
922  return IdentityMatrix<ElementType_t<MT>,SO>( (~sm).rows() );
923 }
925 //*************************************************************************************************
926 
927 
928 //*************************************************************************************************
939 template< typename MT // Type of the sparse matrix
940  , bool SO // Storage order
941  , EnableIf_t< IsLower_v<MT> >* = nullptr >
942 inline const MT& decllow_backend( const SparseMatrix<MT,SO>& sm )
943 {
945 
946  BLAZE_INTERNAL_ASSERT( isSquare( ~sm ), "Non-square matrix detected" );
947 
948  return ~sm;
949 }
951 //*************************************************************************************************
952 
953 
954 //*************************************************************************************************
972 template< typename MT // Type of the sparse matrix
973  , bool SO > // Storage order
974 inline decltype(auto) decllow( const SparseMatrix<MT,SO>& sm )
975 {
977 
978  if( !isSquare( ~sm ) ) {
979  BLAZE_THROW_INVALID_ARGUMENT( "Invalid lower matrix specification" );
980  }
981 
982  return decllow_backend( ~sm );
983 }
984 //*************************************************************************************************
985 
986 
987 
988 
989 //=================================================================================================
990 //
991 // GLOBAL RESTRUCTURING FUNCTIONS
992 //
993 //=================================================================================================
994 
995 //*************************************************************************************************
1009 template< typename MT // Type of the left-hand side sparse matrix
1010  , typename ST // Type of the right-hand side scalar value
1011  , bool SO // Storage order
1012  , DisableIf_t< IsLower_v<MT> >* = nullptr >
1013 inline decltype(auto) decllow( const SMatScalarMultExpr<MT,ST,SO>& sm )
1014 {
1016 
1017  if( !isSquare( ~sm ) ) {
1018  BLAZE_THROW_INVALID_ARGUMENT( "Invalid lower matrix specification" );
1019  }
1020 
1021  return decllow( sm.leftOperand() ) * sm.rightOperand();
1022 }
1024 //*************************************************************************************************
1025 
1026 
1027 
1028 
1029 //=================================================================================================
1030 //
1031 // ISLOWER SPECIALIZATIONS
1032 //
1033 //=================================================================================================
1034 
1035 //*************************************************************************************************
1037 template< typename MT, bool SO >
1038 struct IsLower< SMatDeclLowExpr<MT,SO> >
1039  : public TrueType
1040 {};
1042 //*************************************************************************************************
1043 
1044 } // namespace blaze
1045 
1046 #endif
#define BLAZE_THROW_INVALID_ARGUMENT(MESSAGE)
Macro for the emission of a std::invalid_argument exception.This macro encapsulates the default way o...
Definition: Exception.h:235
Header file for auxiliary alias declarations.
Header file for the IsUniUpper type trait.
OppositeType_t< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: SMatDeclLowExpr.h:137
Header file for basic type definitions.
static constexpr bool smpAssignable
Compilation switch for the expression template assignment strategy.
Definition: SMatDeclLowExpr.h:154
DeclLowTrait_t< RT > ResultType
Result type for expression template evaluations.
Definition: SMatDeclLowExpr.h:136
typename If< Condition, T1, T2 >::Type If_t
Auxiliary alias declaration for the If class template.The If_t alias declaration provides a convenien...
Definition: If.h:109
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: SMatDeclLowExpr.h:282
typename T::ResultType ResultType_t
Alias declaration for nested ResultType type definitions.The ResultType_t alias declaration provides ...
Definition: Aliases.h:390
#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
typename DeclLowTrait< MT >::Type DeclLowTrait_t
Auxiliary alias declaration for the DeclLowTrait type trait.The DeclLowTrait_t alias declaration prov...
Definition: DeclLowTrait.h:160
BLAZE_CREATE_GET_TYPE_MEMBER_TYPE_TRAIT(GetConstIterator, ConstIterator, INVALID_TYPE)
Definition of the GetConstIterator type trait.
#define BLAZE_CONSTRAINT_MUST_NOT_BE_UNIUPPER_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is a upper unitriangular matrix type...
Definition: UniUpper.h:81
static constexpr bool smpAssignable
Compilation flag for SMP assignments.
Definition: CompressedMatrix.h:3113
bool canSMPAssign() const noexcept
Returns whether the expression can be used in SMP assignments.
Definition: SMatDeclLowExpr.h:304
Expression object for the explicit lower declaration of sparse matrices.The SMatDeclLowExpr class rep...
Definition: Forward.h:112
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: SMatDeclLowExpr.h:191
BoolConstant< true > TrueType
Type traits base class.The TrueType class is used as base class for type traits and value traits that...
Definition: TrueType.h:61
Header file for the RequiresEvaluation type trait.
Constraint on the data type.
typename T::ReturnType ReturnType_t
Alias declaration for nested ReturnType type definitions.The ReturnType_t alias declaration provides ...
Definition: Aliases.h:410
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: SMatDeclLowExpr.h:176
Base class for dense matrices.The DenseMatrix class is a base class for all dense matrix classes...
Definition: DenseMatrix.h:80
Base class for sparse matrices.The SparseMatrix class is a base class for all sparse matrix classes...
Definition: Forward.h:137
typename T::ElementType ElementType_t
Alias declaration for nested ElementType type definitions.The ElementType_t alias declaration provide...
Definition: Aliases.h:170
Header file for all forward declarations for sparse vectors and matrices.
ReturnType_t< MT > ReturnType
Return type for expression template evaluations.
Definition: SMatDeclLowExpr.h:140
ConstIterator end(size_t i) const
Returns an iterator just past the last non-zero element of row i.
Definition: SMatDeclLowExpr.h:219
Header file for the SparseMatrix base class.
Constraint on the data type.
ConstIterator begin(size_t i) const
Returns an iterator to the first non-zero element of row i.
Definition: SMatDeclLowExpr.h:208
typename EnableIf< Condition, T >::Type EnableIf_t
Auxiliary type for the EnableIf class template.The EnableIf_t alias declaration provides a convenient...
Definition: EnableIf.h:138
GetConstIterator_t< MT > ConstIterator
Iterator over the elements of the dense matrix.
Definition: SMatDeclLowExpr.h:146
Header file for the DisableIf class template.
Namespace of the Blaze C++ math library.
Definition: Blaze.h:58
Operand operand() const noexcept
Returns the sparse matrix operand.
Definition: SMatDeclLowExpr.h:270
Header file for the If class template.
Header file for the decllow trait.
#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
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: SMatDeclLowExpr.h:229
Header file for the GetMemberType type trait.
decltype(auto) decllow(const DenseMatrix< MT, SO > &dm)
Declares the given dense matrix expression dm as lower.
Definition: DMatDeclLowExpr.h:1002
Header file for the IsLower type trait.
If_t< IsExpression_v< MT >, const MT, const MT &> Operand
Composite data type of the sparse matrix expression.
Definition: SMatDeclLowExpr.h:149
Constraints on the storage order of matrix types.
size_t nonZeros() const
Returns the number of non-zero elements in the sparse matrix.
Definition: SMatDeclLowExpr.h:249
Header file for the exception macros of the math module.
Header file for the DeclLowExpr base class.
Header file for all forward declarations for expression class templates.
Constraint on the data type.
Header file for the EnableIf class template.
typename T::OppositeType OppositeType_t
Alias declaration for nested OppositeType type definitions.The OppositeType_t alias declaration provi...
Definition: Aliases.h:270
Header file for the Declaration base class.
typename T::TransposeType TransposeType_t
Alias declaration for nested TransposeType type definitions.The TransposeType_t alias declaration pro...
Definition: Aliases.h:470
Header file for run time assertion macros.
Utility type for generic codes.
auto smpAddAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs) -> EnableIf_t< IsDenseMatrix_v< MT1 > >
Default implementation of the SMP addition assignment of a matrix to a dense matrix.
Definition: DenseMatrix.h:131
If_t< RequiresEvaluation_v< MT >, const ResultType, const SMatDeclLowExpr &> CompositeType
Data type for composite expression templates.
Definition: SMatDeclLowExpr.h:143
#define BLAZE_CONSTRAINT_MUST_NOT_BE_LOWER_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is a lower triangular matrix type...
Definition: Lower.h:81
#define BLAZE_FUNCTION_TRACE
Function trace macro.This macro can be used to reliably trace function calls. In case function tracin...
Definition: FunctionTrace.h:94
auto smpAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs) -> EnableIf_t< IsDenseMatrix_v< MT1 > >
Default implementation of the SMP assignment of a matrix to a dense matrix.
Definition: DenseMatrix.h:100
auto smpSchurAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs) -> EnableIf_t< IsDenseMatrix_v< MT1 > >
Default implementation of the SMP Schur product assignment of a matrix to dense matrix.
Definition: DenseMatrix.h:194
constexpr size_t rows(const Matrix< MT, SO > &matrix) noexcept
Returns the current number of rows of the matrix.
Definition: Matrix.h:498
ElementType_t< MT > ElementType
Resulting element type.
Definition: SMatDeclLowExpr.h:139
Header file for the implementation of the base template of the LowerMatrix.
SMatDeclLowExpr(const MT &sm) noexcept
Constructor for the SMatDeclLowExpr class.
Definition: SMatDeclLowExpr.h:162
auto smpSubAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs) -> EnableIf_t< IsDenseMatrix_v< MT1 > >
Default implementation of the SMP subtraction assignment of a matrix to dense matrix.
Definition: DenseMatrix.h:162
Operand sm_
Sparse matrix of the decllow expression.
Definition: SMatDeclLowExpr.h:311
TransposeType_t< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: SMatDeclLowExpr.h:138
Header file for the IntegralConstant class template.
static constexpr bool useAssign
Compilation switch for the serial evaluation strategy of the lower declaration expression.
Definition: SMatDeclLowExpr.h:110
size_t nonZeros(size_t i) const
Returns the number of non-zero elements in the specified row.
Definition: SMatDeclLowExpr.h:260
bool isSquare(const Matrix< MT, SO > &matrix) noexcept
Checks if the given matrix is a square matrix.
Definition: Matrix.h:951
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: SMatDeclLowExpr.h:239
#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
ResultType_t< MT > RT
Result type of the sparse matrix expression.
Definition: SMatDeclLowExpr.h:96
auto smpMultAssign(Vector< VT1, TF1 > &lhs, const Vector< VT2, TF2 > &rhs) -> EnableIf_t< IsDenseVector_v< VT1 > >
Default implementation of the SMP multiplication assignment of a vector to a dense vector...
Definition: DenseVector.h:191
#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
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: SMatDeclLowExpr.h:294
Header file for the TrueType type/value trait base class.
Header file for the IsExpression type trait class.
Header file for the function trace functionality.