DMatDeclUppExpr.h
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1 //=================================================================================================
33 //=================================================================================================
34 
35 #ifndef _BLAZE_MATH_EXPRESSIONS_DMATDECLUPPEXPR_H_
36 #define _BLAZE_MATH_EXPRESSIONS_DMATDECLUPPEXPR_H_
37 
38 
39 //*************************************************************************************************
40 // Includes
41 //*************************************************************************************************
42 
43 #include <iterator>
45 #include <blaze/math/Aliases.h>
51 #include <blaze/math/Exception.h>
65 #include <blaze/util/Assert.h>
66 #include <blaze/util/DisableIf.h>
67 #include <blaze/util/EnableIf.h>
70 #include <blaze/util/InvalidType.h>
71 #include <blaze/util/mpl/If.h>
72 #include <blaze/util/TrueType.h>
73 #include <blaze/util/Types.h>
75 
76 
77 namespace blaze {
78 
79 //=================================================================================================
80 //
81 // CLASS DMATDECLUPPEXPR
82 //
83 //=================================================================================================
84 
85 //*************************************************************************************************
92 template< typename MT // Type of the dense matrix
93  , bool SO > // Storage order
95  : public DeclUppExpr< DenseMatrix< DMatDeclUppExpr<MT,SO>, SO > >
96  , public Declaration<MT>
97 {
98  private:
99  //**Type definitions****************************************************************************
101 
103  BLAZE_CREATE_GET_TYPE_MEMBER_TYPE_TRAIT( GetConstIterator, ConstIterator, INVALID_TYPE );
104  //**********************************************************************************************
105 
106  //**Serial evaluation strategy******************************************************************
108 
114  static constexpr bool useAssign = RequiresEvaluation_v<MT>;
115 
117  template< typename MT2 >
119  static constexpr bool UseAssign_v = useAssign;
121  //**********************************************************************************************
122 
123  //**Parallel evaluation strategy****************************************************************
125 
131  template< typename MT2 >
132  static constexpr bool UseSMPAssign_v = ( MT2::smpAssignable && useAssign );
134  //**********************************************************************************************
135 
136  public:
137  //**Type definitions****************************************************************************
145 
148 
150  using ConstIterator = GetConstIterator_t<MT>;
151 
153  using Operand = If_t< IsExpression_v<MT>, const MT, const MT& >;
154  //**********************************************************************************************
155 
156  //**Compilation flags***************************************************************************
158  static constexpr bool simdEnabled = MT::simdEnabled;
159 
161  static constexpr bool smpAssignable = MT::smpAssignable;
162  //**********************************************************************************************
163 
164  //**SIMD properties*****************************************************************************
166  static constexpr size_t SIMDSIZE = SIMDTrait<ElementType>::size;
167  //**********************************************************************************************
168 
169  //**Constructor*********************************************************************************
174  explicit inline DMatDeclUppExpr( const MT& dm ) noexcept
175  : dm_( dm ) // Dense matrix of the declupp expression
176  {
177  BLAZE_INTERNAL_ASSERT( isSquare( ~dm ), "Non-square matrix detected" );
178  }
179  //**********************************************************************************************
180 
181  //**Access operator*****************************************************************************
188  inline ReturnType operator()( size_t i, size_t j ) const {
189  BLAZE_INTERNAL_ASSERT( i < dm_.rows() , "Invalid row access index" );
190  BLAZE_INTERNAL_ASSERT( j < dm_.columns(), "Invalid column access index" );
191  return dm_(i,j);
192  }
193  //**********************************************************************************************
194 
195  //**At function*********************************************************************************
203  inline ReturnType at( size_t i, size_t j ) const {
204  if( i >= dm_.rows() ) {
205  BLAZE_THROW_OUT_OF_RANGE( "Invalid row access index" );
206  }
207  if( j >= dm_.columns() ) {
208  BLAZE_THROW_OUT_OF_RANGE( "Invalid column access index" );
209  }
210  return (*this)(i,j);
211  }
212  //**********************************************************************************************
213 
214  //**Load function*******************************************************************************
221  BLAZE_ALWAYS_INLINE auto load( size_t i, size_t j ) const noexcept {
222  BLAZE_INTERNAL_ASSERT( i < dm_.columns(), "Invalid row access index" );
223  BLAZE_INTERNAL_ASSERT( j < dm_.rows() , "Invalid column access index" );
224  BLAZE_INTERNAL_ASSERT( !SO || ( i % SIMDSIZE == 0UL ), "Invalid row access index" );
225  BLAZE_INTERNAL_ASSERT( SO || ( j % SIMDSIZE == 0UL ), "Invalid column access index" );
226  return dm_.load(i,j);
227  }
228  //**********************************************************************************************
229 
230  //**Low-level data access***********************************************************************
235  inline const ElementType* data() const noexcept {
236  return dm_.data();
237  }
238  //**********************************************************************************************
239 
240  //**Begin function******************************************************************************
246  inline ConstIterator begin( size_t i ) const {
247  return ConstIterator( dm_.begin(i) );
248  }
249  //**********************************************************************************************
250 
251  //**End function********************************************************************************
257  inline ConstIterator end( size_t i ) const {
258  return ConstIterator( dm_.end(i) );
259  }
260  //**********************************************************************************************
261 
262  //**Rows function*******************************************************************************
267  inline size_t rows() const noexcept {
268  return dm_.rows();
269  }
270  //**********************************************************************************************
271 
272  //**Columns function****************************************************************************
277  inline size_t columns() const noexcept {
278  return dm_.columns();
279  }
280  //**********************************************************************************************
281 
282  //**Operand access******************************************************************************
287  inline Operand operand() const noexcept {
288  return dm_;
289  }
290  //**********************************************************************************************
291 
292  //**********************************************************************************************
298  template< typename T >
299  inline bool canAlias( const T* alias ) const noexcept {
300  return dm_.canAlias( alias );
301  }
302  //**********************************************************************************************
303 
304  //**********************************************************************************************
310  template< typename T >
311  inline bool isAliased( const T* alias ) const noexcept {
312  return dm_.isAliased( alias );
313  }
314  //**********************************************************************************************
315 
316  //**********************************************************************************************
321  inline bool isAligned() const noexcept {
322  return dm_.isAligned();
323  }
324  //**********************************************************************************************
325 
326  //**********************************************************************************************
331  inline bool canSMPAssign() const noexcept {
332  return dm_.canSMPAssign();
333  }
334  //**********************************************************************************************
335 
336  private:
337  //**Member variables****************************************************************************
339  //**********************************************************************************************
340 
341  //**Assignment to dense matrices****************************************************************
353  template< typename MT2 // Type of the target dense matrix
354  , bool SO2 > // Storage order of the target dense matrix
355  friend inline auto assign( DenseMatrix<MT2,SO2>& lhs, const DMatDeclUppExpr& 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.dm_ );
364  }
366  //**********************************************************************************************
367 
368  //**Assignment to sparse matrices***************************************************************
380  template< typename MT2 // Type of the target sparse matrix
381  , bool SO2 > // Storage order of the target dense matrix
382  friend inline auto assign( SparseMatrix<MT2,SO2>& lhs, const DMatDeclUppExpr& rhs )
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  assign( ~lhs, rhs.dm_ );
391  }
393  //**********************************************************************************************
394 
395  //**Addition assignment to dense matrices*******************************************************
407  template< typename MT2 // Type of the target dense matrix
408  , bool SO2 > // Storage order of the target dense matrix
409  friend inline auto addAssign( DenseMatrix<MT2,SO2>& lhs, const DMatDeclUppExpr& 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.dm_ );
418  }
420  //**********************************************************************************************
421 
422  //**Addition assignment to sparse matrices******************************************************
434  template< typename MT2 // Type of the target sparse matrix
435  , bool SO2 > // Storage order of the target dense matrix
436  friend inline auto addAssign( SparseMatrix<MT2,SO2>& lhs, const DMatDeclUppExpr& 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  addAssign( ~lhs, rhs.dm_ );
445  }
447  //**********************************************************************************************
448 
449  //**Subtraction assignment to dense matrices****************************************************
461  template< typename MT2 // Type of the target dense matrix
462  , bool SO2 > // Storage order of the target dense matrix
463  friend inline auto subAssign( DenseMatrix<MT2,SO2>& lhs, const DMatDeclUppExpr& 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.dm_ );
472  }
474  //**********************************************************************************************
475 
476  //**Subtraction assignment to sparse matrices***************************************************
488  template< typename MT2 // Type of the target sparse matrix
489  , bool SO2 > // Storage order of the target dense matrix
490  friend inline auto subAssign( SparseMatrix<MT2,SO2>& lhs, const DMatDeclUppExpr& 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  subAssign( ~lhs, rhs.dm_ );
499  }
501  //**********************************************************************************************
502 
503  //**Schur product assignment to dense matrices**************************************************
515  template< typename MT2 // Type of the target dense matrix
516  , bool SO2 > // Storage order of the target dense matrix
517  friend inline auto schurAssign( DenseMatrix<MT2,SO2>& lhs, const DMatDeclUppExpr& 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.dm_ );
526  }
528  //**********************************************************************************************
529 
530  //**Schur product assignment to sparse matrices*************************************************
542  template< typename MT2 // Type of the target sparse matrix
543  , bool SO2 > // Storage order of the target dense matrix
544  friend inline auto schurAssign( SparseMatrix<MT2,SO2>& lhs, const DMatDeclUppExpr& 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  schurAssign( ~lhs, rhs.dm_ );
553  }
555  //**********************************************************************************************
556 
557  //**Multiplication assignment to dense matrices*************************************************
569  template< typename MT2 // Type of the target dense matrix
570  , bool SO2 > // Storage order of the target dense matrix
571  friend inline auto multAssign( DenseMatrix<MT2,SO2>& lhs, const DMatDeclUppExpr& 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.dm_ );
580  }
582  //**********************************************************************************************
583 
584  //**Multiplication assignment to sparse matrices************************************************
596  template< typename MT2 // Type of the target sparse matrix
597  , bool SO2 > // Storage order of the target dense matrix
598  friend inline auto multAssign( SparseMatrix<MT2,SO2>& lhs, const DMatDeclUppExpr& rhs )
599  -> EnableIf_t< UseAssign_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  multAssign( ~lhs, rhs.dm_ );
607  }
609  //**********************************************************************************************
610 
611  //**SMP assignment to dense matrices************************************************************
623  template< typename MT2 // Type of the target dense matrix
624  , bool SO2 > // Storage order of the target dense matrix
625  friend inline auto smpAssign( DenseMatrix<MT2,SO2>& lhs, const DMatDeclUppExpr& 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.dm_ );
634  }
636  //**********************************************************************************************
637 
638  //**SMP assignment to sparse matrices***********************************************************
650  template< typename MT2 // Type of the target sparse matrix
651  , bool SO2 > // Storage order of the target dense matrix
652  friend inline auto smpAssign( SparseMatrix<MT2,SO2>& lhs, const DMatDeclUppExpr& 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  smpAssign( ~lhs, rhs.dm_ );
661  }
663  //**********************************************************************************************
664 
665  //**SMP addition assignment to dense matrices***************************************************
677  template< typename MT2 // Type of the target dense matrix
678  , bool SO2 > // Storage order of the target dense matrix
679  friend inline auto smpAddAssign( DenseMatrix<MT2,SO2>& lhs, const DMatDeclUppExpr& 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.dm_ );
688  }
690  //**********************************************************************************************
691 
692  //**SMP addition assignment to sparse matrices**************************************************
704  template< typename MT2 // Type of the target sparse matrix
705  , bool SO2 > // Storage order of the target dense matrix
706  friend inline auto smpAddAssign( SparseMatrix<MT2,SO2>& lhs, const DMatDeclUppExpr& 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  smpAddAssign( ~lhs, rhs.dm_ );
715  }
717  //**********************************************************************************************
718 
719  //**SMP subtraction assignment to dense matrices************************************************
731  template< typename MT2 // Type of the target dense matrix
732  , bool SO2 > // Storage order of the target dense matrix
733  friend inline auto smpSubAssign( DenseMatrix<MT2,SO2>& lhs, const DMatDeclUppExpr& 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.dm_ );
742  }
744  //**********************************************************************************************
745 
746  //**SMP subtraction assignment to sparse matrices***********************************************
758  template< typename MT2 // Type of the target sparse matrix
759  , bool SO2 > // Storage order of the target dense matrix
760  friend inline auto smpSubAssign( SparseMatrix<MT2,SO2>& lhs, const DMatDeclUppExpr& 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  smpSubAssign( ~lhs, rhs.dm_ );
769  }
771  //**********************************************************************************************
772 
773  //**SMP Schur product assignment to dense matrices**********************************************
785  template< typename MT2 // Type of the target dense matrix
786  , bool SO2 > // Storage order of the target dense matrix
787  friend inline auto smpSchurAssign( DenseMatrix<MT2,SO2>& lhs, const DMatDeclUppExpr& 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.dm_ );
796  }
798  //**********************************************************************************************
799 
800  //**SMP Schur product assignment to sparse matrices*********************************************
812  template< typename MT2 // Type of the target sparse matrix
813  , bool SO2 > // Storage order of the target dense matrix
814  friend inline auto smpSchurAssign( SparseMatrix<MT2,SO2>& lhs, const DMatDeclUppExpr& rhs )
815  -> EnableIf_t< UseSMPAssign_v<MT2> >
816  {
818 
819  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
820  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
821 
822  smpSchurAssign( ~lhs, rhs.dm_ );
823  }
825  //**********************************************************************************************
826 
827  //**SMP multiplication assignment to dense matrices*********************************************
840  template< typename MT2 // Type of the target dense matrix
841  , bool SO2 > // Storage order of the target dense matrix
842  friend inline auto smpMultAssign( DenseMatrix<MT2,SO2>& lhs, const DMatDeclUppExpr& rhs )
843  -> EnableIf_t< UseSMPAssign_v<MT2> >
844  {
846 
847  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
848  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
849 
850  smpMultAssign( ~lhs, rhs.dm_ );
851  }
853  //**********************************************************************************************
854 
855  //**SMP multiplication assignment to sparse matrices********************************************
868  template< typename MT2 // Type of the target sparse matrix
869  , bool SO2 > // Storage order of the target dense matrix
870  friend inline auto smpMultAssign( SparseMatrix<MT2,SO2>& lhs, const DMatDeclUppExpr& rhs )
871  -> EnableIf_t< UseSMPAssign_v<MT2> >
872  {
874 
875  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
876  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
877 
878  smpMultAssign( ~lhs, rhs.dm_ );
879  }
881  //**********************************************************************************************
882 
883  //**Compile time checks*************************************************************************
891  //**********************************************************************************************
892 };
893 //*************************************************************************************************
894 
895 
896 
897 
898 //=================================================================================================
899 //
900 // GLOBAL FUNCTIONS
901 //
902 //=================================================================================================
903 
904 //*************************************************************************************************
915 template< typename MT // Type of the dense matrix
916  , bool SO // Storage order
917  , DisableIf_t< IsUpper_v<MT> || IsUniLower_v<MT> >* = nullptr >
918 inline const DMatDeclUppExpr<MT,SO> declupp_backend( const DenseMatrix<MT,SO>& dm )
919 {
921 
922  BLAZE_INTERNAL_ASSERT( isSquare( ~dm ), "Non-square matrix detected" );
923 
924  return DMatDeclUppExpr<MT,SO>( ~dm );
925 }
927 //*************************************************************************************************
928 
929 
930 //*************************************************************************************************
941 template< typename MT // Type of the dense matrix
942  , bool SO // Storage order
943  , EnableIf_t< !IsUpper_v<MT> && IsUniLower_v<MT> >* = nullptr >
944 inline const IdentityMatrix<ElementType_t<MT>,SO> declupp_backend( const DenseMatrix<MT,SO>& dm )
945 {
947 
948  BLAZE_INTERNAL_ASSERT( isSquare( ~dm ), "Non-square matrix detected" );
949 
950  return IdentityMatrix<ElementType_t<MT>,SO>( (~dm).rows() );
951 }
953 //*************************************************************************************************
954 
955 
956 //*************************************************************************************************
967 template< typename MT // Type of the dense matrix
968  , bool SO // Storage order
969  , EnableIf_t< IsUpper_v<MT> >* = nullptr >
970 inline const MT& declupp_backend( const DenseMatrix<MT,SO>& dm )
971 {
973 
974  BLAZE_INTERNAL_ASSERT( isSquare( ~dm ), "Non-square matrix detected" );
975 
976  return ~dm;
977 }
979 //*************************************************************************************************
980 
981 
982 //*************************************************************************************************
1000 template< typename MT // Type of the dense matrix
1001  , bool SO > // Storage order
1002 inline decltype(auto) declupp( const DenseMatrix<MT,SO>& dm )
1003 {
1005 
1006  if( !isSquare( ~dm ) ) {
1007  BLAZE_THROW_INVALID_ARGUMENT( "Invalid upper matrix specification" );
1008  }
1009 
1010  return declupp_backend( ~dm );
1011 }
1012 //*************************************************************************************************
1013 
1014 
1015 
1016 
1017 //=================================================================================================
1018 //
1019 // GLOBAL RESTRUCTURING FUNCTIONS
1020 //
1021 //=================================================================================================
1022 
1023 //*************************************************************************************************
1037 template< typename MT // Type of the left-hand side dense matrix
1038  , typename ST // Type of the right-hand side scalar value
1039  , bool SO // Storage order
1040  , DisableIf_t< IsUpper_v<MT> >* = nullptr >
1041 inline decltype(auto) declupp( const DMatScalarMultExpr<MT,ST,SO>& dm )
1042 {
1044 
1045  if( !isSquare( ~dm ) ) {
1046  BLAZE_THROW_INVALID_ARGUMENT( "Invalid upper matrix specification" );
1047  }
1048 
1049  return declupp( dm.leftOperand() ) * dm.rightOperand();
1050 }
1052 //*************************************************************************************************
1053 
1054 
1055 
1056 
1057 //=================================================================================================
1058 //
1059 // HASCONSTDATAACCESS SPECIALIZATIONS
1060 //
1061 //=================================================================================================
1062 
1063 //*************************************************************************************************
1065 template< typename MT, bool SO >
1066 struct HasConstDataAccess< DMatDeclUppExpr<MT,SO> >
1067  : public HasConstDataAccess<MT>
1068 {};
1070 //*************************************************************************************************
1071 
1072 
1073 
1074 
1075 //=================================================================================================
1076 //
1077 // ISALIGNED SPECIALIZATIONS
1078 //
1079 //=================================================================================================
1080 
1081 //*************************************************************************************************
1083 template< typename MT, bool SO >
1084 struct IsAligned< DMatDeclUppExpr<MT,SO> >
1085  : public IsAligned<MT>
1086 {};
1088 //*************************************************************************************************
1089 
1090 
1091 
1092 
1093 //=================================================================================================
1094 //
1095 // ISUPPER SPECIALIZATIONS
1096 //
1097 //=================================================================================================
1098 
1099 //*************************************************************************************************
1101 template< typename MT, bool SO >
1102 struct IsUpper< DMatDeclUppExpr<MT,SO> >
1103  : public TrueType
1104 {};
1106 //*************************************************************************************************
1107 
1108 } // namespace blaze
1109 
1110 #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 basic type definitions.
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
BLAZE_ALWAYS_INLINE auto load(size_t i, size_t j) const noexcept
Access to the SIMD elements of the matrix.
Definition: DMatDeclUppExpr.h:221
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: DMatDeclUppExpr.h:188
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
#define BLAZE_CONSTRAINT_MUST_BE_DENSE_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is not a dense, N-dimensional matrix type...
Definition: DenseMatrix.h:61
Base class for all declaration expression templates.The Declaration class serves as a tag for all dec...
Definition: Declaration.h:70
static constexpr bool smpAssignable
Compilation flag for SMP assignments.
Definition: CompressedMatrix.h:3113
decltype(auto) declupp(const DenseMatrix< MT, SO > &dm)
Declares the given dense matrix expression dm as upper.
Definition: DMatDeclUppExpr.h:1002
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: DMatDeclUppExpr.h:203
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: DMatDeclUppExpr.h:299
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
Constraint on the data type.
Header file for the RequiresEvaluation type trait.
const ElementType * data() const noexcept
Low-level data access to the matrix elements.
Definition: DMatDeclUppExpr.h:235
typename T::ReturnType ReturnType_t
Alias declaration for nested ReturnType type definitions.The ReturnType_t alias declaration provides ...
Definition: Aliases.h:410
Header file for the SIMD trait.
Header file for the IsUniLower type trait.
bool isAligned() const noexcept
Returns whether the operands of the expression are properly aligned in memory.
Definition: DMatDeclUppExpr.h:321
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.
ElementType_t< MT > ElementType
Resulting element type.
Definition: DMatDeclUppExpr.h:143
ReturnType_t< MT > ReturnType
Return type for expression template evaluations.
Definition: DMatDeclUppExpr.h:144
Constraint on the data type.
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
static constexpr bool useAssign
Compilation switch for the serial evaluation strategy of the upper declaration expression.
Definition: DMatDeclUppExpr.h:114
static constexpr size_t SIMDSIZE
The number of elements packed within a single SIMD element.
Definition: DMatDeclUppExpr.h:166
Header file for the DisableIf class template.
Namespace of the Blaze C++ math library.
Definition: Blaze.h:58
#define BLAZE_ALWAYS_INLINE
Platform dependent setup of an enforced inline keyword.
Definition: Inline.h:85
Header file for the If class template.
#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 DenseMatrix base class.
static constexpr bool simdEnabled
Compilation switch for the expression template evaluation strategy.
Definition: DMatDeclUppExpr.h:158
Header file for the GetMemberType type trait.
Header file for the IsAligned type trait.
BLAZE_CREATE_GET_TYPE_MEMBER_TYPE_TRAIT(GetConstIterator, ConstIterator, INVALID_TYPE)
Definition of the GetConstIterator type trait.
#define BLAZE_CONSTRAINT_MUST_NOT_BE_MATMATMULTEXPR_TYPE(T)
Constraint on the data type.In case the given data type T is a matrix/matrix multiplication expressio...
Definition: MatMatMultExpr.h:83
Operand operand() const noexcept
Returns the dense matrix operand.
Definition: DMatDeclUppExpr.h:287
static constexpr bool smpAssignable
Compilation switch for the expression template assignment strategy.
Definition: DMatDeclUppExpr.h:161
Constraints on the storage order of matrix types.
Header file for the exception macros of the math module.
#define BLAZE_CONSTRAINT_MUST_NOT_BE_UPPER_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is a upper triangular matrix type...
Definition: Upper.h:81
Header file for all forward declarations for expression class templates.
DMatDeclUppExpr(const MT &dm) noexcept
Constructor for the DMatDeclUppExpr class.
Definition: DMatDeclUppExpr.h:174
If_t< RequiresEvaluation_v< MT >, const ResultType, const DMatDeclUppExpr &> CompositeType
Data type for composite expression templates.
Definition: DMatDeclUppExpr.h:147
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
Operand dm_
Dense matrix of the declupp expression.
Definition: DMatDeclUppExpr.h:338
Header file for the HasConstDataAccess type trait.
If_t< IsExpression_v< MT >, const MT, const MT &> Operand
Composite data type of the dense matrix expression.
Definition: DMatDeclUppExpr.h:153
Header file for the Declaration base class.
GetConstIterator_t< MT > ConstIterator
Iterator over the elements of the dense matrix.
Definition: DMatDeclUppExpr.h:150
Header file for the declupp trait.
TransposeType_t< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: DMatDeclUppExpr.h:142
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
Constraint on the data type.
SIMD characteristics of data types.The SIMDTrait class template provides the SIMD characteristics of ...
Definition: SIMDTrait.h:295
#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
#define BLAZE_CONSTRAINT_MUST_NOT_BE_UNILOWER_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is a lower unitriangular matrix type...
Definition: UniLower.h:81
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
ConstIterator begin(size_t i) const
Returns an iterator to the first non-zero element of row/column i.
Definition: DMatDeclUppExpr.h:246
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: DMatDeclUppExpr.h:311
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: DMatDeclUppExpr.h:277
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
Expression object for the explicit upper declaration of dense matrices.The DMatDeclUppExpr class repr...
Definition: DMatDeclUppExpr.h:94
Header file for the DeclUppExpr base class.
Header file for the IntegralConstant class template.
ConstIterator end(size_t i) const
Returns an iterator just past the last non-zero element of row/column i.
Definition: DMatDeclUppExpr.h:257
bool canSMPAssign() const noexcept
Returns whether the expression can be used in SMP assignments.
Definition: DMatDeclUppExpr.h:331
DeclUppTrait_t< RT > ResultType
Result type for expression template evaluations.
Definition: DMatDeclUppExpr.h:140
Header file for the IsUpper type trait.
Constraint on the data type.
Header file for the implementation of the base template of the UpperMatrix.
typename DeclUppTrait< MT >::Type DeclUppTrait_t
Auxiliary alias declaration for the DeclUppTrait type trait.The DeclUppTrait_t alias declaration prov...
Definition: DeclUppTrait.h:160
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: DMatDeclUppExpr.h:267
OppositeType_t< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: DMatDeclUppExpr.h:141
bool isSquare(const Matrix< MT, SO > &matrix) noexcept
Checks if the given matrix is a square matrix.
Definition: Matrix.h:951
#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 dense matrix expression.
Definition: DMatDeclUppExpr.h:100
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
Base class for all declupp expression templates.The DeclUppExpr class serves as a tag for all express...
Definition: DeclUppExpr.h:66
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.