DMatDMatSubExpr.h
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1 //=================================================================================================
33 //=================================================================================================
34 
35 #ifndef _BLAZE_MATH_EXPRESSIONS_DMATDMATSUBEXPR_H_
36 #define _BLAZE_MATH_EXPRESSIONS_DMATDMATSUBEXPR_H_
37 
38 
39 //*************************************************************************************************
40 // Includes
41 //*************************************************************************************************
42 
43 #include <iterator>
44 #include <utility>
45 #include <blaze/math/Aliases.h>
50 #include <blaze/math/Exception.h>
56 #include <blaze/math/SIMD.h>
65 #include <blaze/system/Inline.h>
67 #include <blaze/util/Assert.h>
68 #include <blaze/util/EnableIf.h>
71 #include <blaze/util/mpl/If.h>
72 #include <blaze/util/Types.h>
73 
74 
75 namespace blaze {
76 
77 //=================================================================================================
78 //
79 // CLASS DMATDMATSUBEXPR
80 //
81 //=================================================================================================
82 
83 //*************************************************************************************************
90 template< typename MT1 // Type of the left-hand side dense matrix
91  , typename MT2 // Type of the right-hand side dense matrix
92  , bool SO > // Storage order
94  : public MatMatSubExpr< DenseMatrix< DMatDMatSubExpr<MT1,MT2,SO>, SO > >
95  , private Computation
96 {
97  private:
98  //**Type definitions****************************************************************************
107  //**********************************************************************************************
108 
109  //**Return type evaluation**********************************************************************
111 
116  static constexpr bool returnExpr = ( !IsTemporary_v<RN1> && !IsTemporary_v<RN2> );
117 
119  using ExprReturnType = decltype( std::declval<RN1>() - std::declval<RN2>() );
120  //**********************************************************************************************
121 
122  //**Serial evaluation strategy******************************************************************
124 
130  static constexpr bool useAssign =
131  ( RequiresEvaluation_v<MT1> || RequiresEvaluation_v<MT2> || !returnExpr );
132 
134  template< typename MT >
136  static constexpr bool UseAssign_v = useAssign;
138  //**********************************************************************************************
139 
140  //**Parallel evaluation strategy****************************************************************
142 
148  template< typename MT >
149  static constexpr bool UseSMPAssign_v =
152  //**********************************************************************************************
153 
154  public:
155  //**Type definitions****************************************************************************
162 
165 
168 
170  using LeftOperand = If_t< IsExpression_v<MT1>, const MT1, const MT1& >;
171 
173  using RightOperand = If_t< IsExpression_v<MT2>, const MT2, const MT2& >;
174  //**********************************************************************************************
175 
176  //**ConstIterator class definition**************************************************************
180  {
181  public:
182  //**Type definitions*************************************************************************
183  using IteratorCategory = std::random_access_iterator_tag;
188 
189  // STL iterator requirements
195 
198 
201  //*******************************************************************************************
202 
203  //**Constructor******************************************************************************
209  explicit inline ConstIterator( LeftIteratorType left, RightIteratorType right )
210  : left_ ( left ) // Iterator to the current left-hand side element
211  , right_( right ) // Iterator to the current right-hand side element
212  {}
213  //*******************************************************************************************
214 
215  //**Addition assignment operator*************************************************************
221  inline ConstIterator& operator+=( size_t inc ) {
222  left_ += inc;
223  right_ += inc;
224  return *this;
225  }
226  //*******************************************************************************************
227 
228  //**Subtraction assignment operator**********************************************************
234  inline ConstIterator& operator-=( size_t dec ) {
235  left_ -= dec;
236  right_ -= dec;
237  return *this;
238  }
239  //*******************************************************************************************
240 
241  //**Prefix increment operator****************************************************************
247  ++left_;
248  ++right_;
249  return *this;
250  }
251  //*******************************************************************************************
252 
253  //**Postfix increment operator***************************************************************
258  inline const ConstIterator operator++( int ) {
259  return ConstIterator( left_++, right_++ );
260  }
261  //*******************************************************************************************
262 
263  //**Prefix decrement operator****************************************************************
269  --left_;
270  --right_;
271  return *this;
272  }
273  //*******************************************************************************************
274 
275  //**Postfix decrement operator***************************************************************
280  inline const ConstIterator operator--( int ) {
281  return ConstIterator( left_--, right_-- );
282  }
283  //*******************************************************************************************
284 
285  //**Element access operator******************************************************************
290  inline ReturnType operator*() const {
291  return (*left_) - (*right_);
292  }
293  //*******************************************************************************************
294 
295  //**Load function****************************************************************************
300  inline auto load() const noexcept {
301  return left_.load() - right_.load();
302  }
303  //*******************************************************************************************
304 
305  //**Equality operator************************************************************************
311  inline bool operator==( const ConstIterator& rhs ) const {
312  return left_ == rhs.left_;
313  }
314  //*******************************************************************************************
315 
316  //**Inequality operator**********************************************************************
322  inline bool operator!=( const ConstIterator& rhs ) const {
323  return left_ != rhs.left_;
324  }
325  //*******************************************************************************************
326 
327  //**Less-than operator***********************************************************************
333  inline bool operator<( const ConstIterator& rhs ) const {
334  return left_ < rhs.left_;
335  }
336  //*******************************************************************************************
337 
338  //**Greater-than operator********************************************************************
344  inline bool operator>( const ConstIterator& rhs ) const {
345  return left_ > rhs.left_;
346  }
347  //*******************************************************************************************
348 
349  //**Less-or-equal-than operator**************************************************************
355  inline bool operator<=( const ConstIterator& rhs ) const {
356  return left_ <= rhs.left_;
357  }
358  //*******************************************************************************************
359 
360  //**Greater-or-equal-than operator***********************************************************
366  inline bool operator>=( const ConstIterator& rhs ) const {
367  return left_ >= rhs.left_;
368  }
369  //*******************************************************************************************
370 
371  //**Subtraction operator*********************************************************************
377  inline DifferenceType operator-( const ConstIterator& rhs ) const {
378  return left_ - rhs.left_;
379  }
380  //*******************************************************************************************
381 
382  //**Addition operator************************************************************************
389  friend inline const ConstIterator operator+( const ConstIterator& it, size_t inc ) {
390  return ConstIterator( it.left_ + inc, it.right_ + inc );
391  }
392  //*******************************************************************************************
393 
394  //**Addition operator************************************************************************
401  friend inline const ConstIterator operator+( size_t inc, const ConstIterator& it ) {
402  return ConstIterator( it.left_ + inc, it.right_ + inc );
403  }
404  //*******************************************************************************************
405 
406  //**Subtraction operator*********************************************************************
413  friend inline const ConstIterator operator-( const ConstIterator& it, size_t dec ) {
414  return ConstIterator( it.left_ - dec, it.right_ - dec );
415  }
416  //*******************************************************************************************
417 
418  private:
419  //**Member variables*************************************************************************
422  //*******************************************************************************************
423  };
424  //**********************************************************************************************
425 
426  //**Compilation flags***************************************************************************
428  static constexpr bool simdEnabled =
429  ( MT1::simdEnabled && MT2::simdEnabled && HasSIMDSub_v<ET1,ET2> );
430 
432  static constexpr bool smpAssignable = ( MT1::smpAssignable && MT2::smpAssignable );
433  //**********************************************************************************************
434 
435  //**SIMD properties*****************************************************************************
437  static constexpr size_t SIMDSIZE = SIMDTrait<ElementType>::size;
438  //**********************************************************************************************
439 
440  //**Constructor*********************************************************************************
446  explicit inline DMatDMatSubExpr( const MT1& lhs, const MT2& rhs ) noexcept
447  : lhs_( lhs ) // Left-hand side dense matrix of the subtraction expression
448  , rhs_( rhs ) // Right-hand side dense matrix of the subtraction expression
449  {
450  BLAZE_INTERNAL_ASSERT( lhs.rows() == rhs.rows() , "Invalid number of rows" );
451  BLAZE_INTERNAL_ASSERT( lhs.columns() == rhs.columns(), "Invalid number of columns" );
452  }
453  //**********************************************************************************************
454 
455  //**Access operator*****************************************************************************
462  inline ReturnType operator()( size_t i, size_t j ) const {
463  BLAZE_INTERNAL_ASSERT( i < lhs_.rows() , "Invalid row access index" );
464  BLAZE_INTERNAL_ASSERT( j < lhs_.columns(), "Invalid column access index" );
465  return lhs_(i,j) - rhs_(i,j);
466  }
467  //**********************************************************************************************
468 
469  //**At function*********************************************************************************
477  inline ReturnType at( size_t i, size_t j ) const {
478  if( i >= lhs_.rows() ) {
479  BLAZE_THROW_OUT_OF_RANGE( "Invalid row access index" );
480  }
481  if( j >= lhs_.columns() ) {
482  BLAZE_THROW_OUT_OF_RANGE( "Invalid column access index" );
483  }
484  return (*this)(i,j);
485  }
486  //**********************************************************************************************
487 
488  //**Load function*******************************************************************************
495  BLAZE_ALWAYS_INLINE auto load( size_t i, size_t j ) const noexcept {
496  BLAZE_INTERNAL_ASSERT( i < lhs_.rows() , "Invalid row access index" );
497  BLAZE_INTERNAL_ASSERT( j < lhs_.columns(), "Invalid column access index" );
498  BLAZE_INTERNAL_ASSERT( !SO || ( i % SIMDSIZE == 0UL ), "Invalid row access index" );
499  BLAZE_INTERNAL_ASSERT( SO || ( j % SIMDSIZE == 0UL ), "Invalid column access index" );
500  return lhs_.load(i,j) - rhs_.load(i,j);
501  }
502  //**********************************************************************************************
503 
504  //**Begin function******************************************************************************
510  inline ConstIterator begin( size_t i ) const {
511  return ConstIterator( lhs_.begin(i), rhs_.begin(i) );
512  }
513  //**********************************************************************************************
514 
515  //**End function********************************************************************************
521  inline ConstIterator end( size_t i ) const {
522  return ConstIterator( lhs_.end(i), rhs_.end(i) );
523  }
524  //**********************************************************************************************
525 
526  //**Rows function*******************************************************************************
531  inline size_t rows() const noexcept {
532  return lhs_.rows();
533  }
534  //**********************************************************************************************
535 
536  //**Columns function****************************************************************************
541  inline size_t columns() const noexcept {
542  return lhs_.columns();
543  }
544  //**********************************************************************************************
545 
546  //**Left operand access*************************************************************************
551  inline LeftOperand leftOperand() const noexcept {
552  return lhs_;
553  }
554  //**********************************************************************************************
555 
556  //**Right operand access************************************************************************
561  inline RightOperand rightOperand() const noexcept {
562  return rhs_;
563  }
564  //**********************************************************************************************
565 
566  //**********************************************************************************************
572  template< typename T >
573  inline bool canAlias( const T* alias ) const noexcept {
574  return ( IsExpression_v<MT1> && ( RequiresEvaluation_v<MT1> ? lhs_.isAliased( alias ) : lhs_.canAlias( alias ) ) ) ||
575  ( IsExpression_v<MT2> && ( RequiresEvaluation_v<MT2> ? rhs_.isAliased( alias ) : rhs_.canAlias( alias ) ) );
576  }
577  //**********************************************************************************************
578 
579  //**********************************************************************************************
585  template< typename T >
586  inline bool isAliased( const T* alias ) const noexcept {
587  return ( lhs_.isAliased( alias ) || rhs_.isAliased( alias ) );
588  }
589  //**********************************************************************************************
590 
591  //**********************************************************************************************
596  inline bool isAligned() const noexcept {
597  return lhs_.isAligned() && rhs_.isAligned();
598  }
599  //**********************************************************************************************
600 
601  //**********************************************************************************************
606  inline bool canSMPAssign() const noexcept {
607  return lhs_.canSMPAssign() || rhs_.canSMPAssign() ||
608  ( rows() * columns() >= SMP_DMATDMATSUB_THRESHOLD );
609  }
610  //**********************************************************************************************
611 
612  private:
613  //**Member variables****************************************************************************
616  //**********************************************************************************************
617 
618  //**Assignment to dense matrices****************************************************************
632  template< typename MT // Type of the target dense matrix
633  , bool SO2 > // Storage order of the target dense matrix
634  friend inline auto assign( DenseMatrix<MT,SO2>& lhs, const DMatDMatSubExpr& rhs )
636  {
638 
639  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
640  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
641 
642  if( !IsOperation_v<MT1> && isSame( ~lhs, rhs.lhs_ ) ) {
643  subAssign( ~lhs, rhs.rhs_ );
644  }
645  else if( ( !IsOperation_v<MT2> && isSame( ~lhs, rhs.rhs_ ) ) ||
646  ( !RequiresEvaluation_v<MT2> && rhs.rhs_.isAliased( &(~lhs) ) ) ) {
647  assign ( ~lhs, -rhs.rhs_ );
648  addAssign( ~lhs, rhs.lhs_ );
649  }
650  else {
651  assign ( ~lhs, rhs.lhs_ );
652  subAssign( ~lhs, rhs.rhs_ );
653  }
654  }
656  //**********************************************************************************************
657 
658  //**Assignment to sparse matrices***************************************************************
672  template< typename MT // Type of the target sparse matrix
673  , bool SO2 > // Storage order of the target sparse matrix
674  friend inline auto assign( SparseMatrix<MT,SO2>& lhs, const DMatDMatSubExpr& rhs )
676  {
678 
680 
687 
688  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
689  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
690 
691  const TmpType tmp( serial( rhs ) );
692  assign( ~lhs, tmp );
693  }
695  //**********************************************************************************************
696 
697  //**Addition assignment to dense matrices*******************************************************
711  template< typename MT // Type of the target dense matrix
712  , bool SO2 > // Storage order of the target dense matrix
713  friend inline auto addAssign( DenseMatrix<MT,SO2>& lhs, const DMatDMatSubExpr& rhs )
714  -> EnableIf_t< UseAssign_v<MT> >
715  {
717 
718  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
719  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
720 
721  if( !RequiresEvaluation_v<MT2> ) {
722  subAssign( ~lhs, rhs.rhs_ );
723  addAssign( ~lhs, rhs.lhs_ );
724  }
725  else {
726  addAssign( ~lhs, rhs.lhs_ );
727  subAssign( ~lhs, rhs.rhs_ );
728  }
729  }
731  //**********************************************************************************************
732 
733  //**Addition assignment to sparse matrices******************************************************
734  // No special implementation for the addition assignment to sparse matrices.
735  //**********************************************************************************************
736 
737  //**Subtraction assignment to dense matrices****************************************************
751  template< typename MT // Type of the target dense matrix
752  , bool SO2 > // Storage order of the target dense matrix
753  friend inline auto subAssign( DenseMatrix<MT,SO2>& lhs, const DMatDMatSubExpr& rhs )
754  -> EnableIf_t< UseAssign_v<MT> >
755  {
757 
758  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
759  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
760 
761  if( !RequiresEvaluation_v<MT2> ) {
762  addAssign( ~lhs, rhs.rhs_ );
763  subAssign( ~lhs, rhs.lhs_ );
764  }
765  else {
766  subAssign( ~lhs, rhs.lhs_ );
767  addAssign( ~lhs, rhs.rhs_ );
768  }
769  }
771  //**********************************************************************************************
772 
773  //**Subtraction assignment to sparse matrices***************************************************
774  // No special implementation for the subtraction assignment to sparse matrices.
775  //**********************************************************************************************
776 
777  //**Schur product assignment to dense matrices**************************************************
791  template< typename MT // Type of the target dense matrix
792  , bool SO2 > // Storage order of the target dense matrix
793  friend inline auto schurAssign( DenseMatrix<MT,SO2>& lhs, const DMatDMatSubExpr& rhs )
794  -> EnableIf_t< UseAssign_v<MT> >
795  {
797 
801 
802  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
803  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
804 
805  const ResultType tmp( serial( rhs ) );
806  schurAssign( ~lhs, tmp );
807  }
809  //**********************************************************************************************
810 
811  //**Schur product assignment to sparse matrices*************************************************
812  // No special implementation for the Schur product assignment to sparse matrices.
813  //**********************************************************************************************
814 
815  //**Multiplication assignment to dense matrices*************************************************
816  // No special implementation for the multiplication assignment to dense matrices.
817  //**********************************************************************************************
818 
819  //**Multiplication assignment to sparse matrices************************************************
820  // No special implementation for the multiplication assignment to sparse matrices.
821  //**********************************************************************************************
822 
823  //**SMP assignment to dense matrices************************************************************
837  template< typename MT // Type of the target dense matrix
838  , bool SO2 > // Storage order of the target dense matrix
839  friend inline auto smpAssign( DenseMatrix<MT,SO2>& lhs, const DMatDMatSubExpr& rhs )
840  -> EnableIf_t< UseSMPAssign_v<MT> >
841  {
843 
844  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
845  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
846 
847  if( !IsOperation_v<MT1> && isSame( ~lhs, rhs.lhs_ ) ) {
848  smpSubAssign( ~lhs, rhs.rhs_ );
849  }
850  else if( ( !IsOperation_v<MT2> && isSame( ~lhs, rhs.rhs_ ) ) ||
851  ( !RequiresEvaluation_v<MT2> && rhs.rhs_.isAliased( &(~lhs) ) ) ) {
852  smpAssign ( ~lhs, -rhs.rhs_ );
853  smpAddAssign( ~lhs, rhs.lhs_ );
854  }
855  else {
856  smpAssign ( ~lhs, rhs.lhs_ );
857  smpSubAssign( ~lhs, rhs.rhs_ );
858  }
859  }
861  //**********************************************************************************************
862 
863  //**SMP assignment to sparse matrices***********************************************************
877  template< typename MT // Type of the target sparse matrix
878  , bool SO2 > // Storage order of the target sparse matrix
879  friend inline auto smpAssign( SparseMatrix<MT,SO2>& lhs, const DMatDMatSubExpr& rhs )
880  -> EnableIf_t< UseSMPAssign_v<MT> >
881  {
883 
884  using TmpType = If_t< SO == SO2, ResultType, OppositeType >;
885 
892 
893  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
894  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
895 
896  const TmpType tmp( rhs );
897  smpAssign( ~lhs, tmp );
898  }
900  //**********************************************************************************************
901 
902  //**SMP addition assignment to dense matrices***************************************************
916  template< typename MT // Type of the target dense matrix
917  , bool SO2 > // Storage order of the target dense matrix
918  friend inline auto smpAddAssign( DenseMatrix<MT,SO2>& lhs, const DMatDMatSubExpr& rhs )
919  -> EnableIf_t< UseAssign_v<MT> >
920  {
922 
923  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
924  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
925 
926  if( !RequiresEvaluation_v<MT2> ) {
927  smpSubAssign( ~lhs, rhs.rhs_ );
928  smpAddAssign( ~lhs, rhs.lhs_ );
929  }
930  else {
931  smpAddAssign( ~lhs, rhs.lhs_ );
932  smpSubAssign( ~lhs, rhs.rhs_ );
933  }
934  }
936  //**********************************************************************************************
937 
938  //**SMP addition assignment to sparse matrices**************************************************
939  // No special implementation for the SMP addition assignment to sparse matrices.
940  //**********************************************************************************************
941 
942  //**SMP subtraction assignment to dense matrices************************************************
956  template< typename MT // Type of the target dense matrix
957  , bool SO2 > // Storage order of the target dense matrix
958  friend inline auto smpSubAssign( DenseMatrix<MT,SO2>& lhs, const DMatDMatSubExpr& rhs )
959  -> EnableIf_t< UseSMPAssign_v<MT> >
960  {
962 
963  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
964  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
965 
966  if( !RequiresEvaluation_v<MT2> ) {
967  smpAddAssign( ~lhs, rhs.rhs_ );
968  smpSubAssign( ~lhs, rhs.lhs_ );
969  }
970  else {
971  smpSubAssign( ~lhs, rhs.lhs_ );
972  smpAddAssign( ~lhs, rhs.rhs_ );
973  }
974  }
976  //**********************************************************************************************
977 
978  //**SMP subtraction assignment to sparse matrices***********************************************
979  // No special implementation for the SMP subtraction assignment to sparse matrices.
980  //**********************************************************************************************
981 
982  //**SMP Schur product assignment to dense matrices**********************************************
997  template< typename MT // Type of the target dense matrix
998  , bool SO2 > // Storage order of the target dense matrix
999  friend inline auto smpSchurAssign( DenseMatrix<MT,SO2>& lhs, const DMatDMatSubExpr& rhs )
1000  -> EnableIf_t< UseSMPAssign_v<MT> >
1001  {
1003 
1007 
1008  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
1009  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
1010 
1011  const ResultType tmp( rhs );
1012  smpSchurAssign( ~lhs, tmp );
1013  }
1015  //**********************************************************************************************
1016 
1017  //**SMP Schur product assignment to sparse matrices*********************************************
1018  // No special implementation for the SMP Schur product assignment to sparse matrices.
1019  //**********************************************************************************************
1020 
1021  //**SMP multiplication assignment to dense matrices*********************************************
1022  // No special implementation for the SMP multiplication assignment to dense matrices.
1023  //**********************************************************************************************
1024 
1025  //**SMP multiplication assignment to sparse matrices********************************************
1026  // No special implementation for the SMP multiplication assignment to sparse matrices.
1027  //**********************************************************************************************
1028 
1029  //**Compile time checks*************************************************************************
1035  //**********************************************************************************************
1036 };
1037 //*************************************************************************************************
1038 
1039 
1040 
1041 
1042 //=================================================================================================
1043 //
1044 // GLOBAL BINARY ARITHMETIC OPERATORS
1045 //
1046 //=================================================================================================
1047 
1048 //*************************************************************************************************
1073 template< typename MT1 // Type of the left-hand side dense matrix
1074  , typename MT2 // Type of the right-hand side dense matrix
1075  , bool SO > // Storage order
1076 inline decltype(auto)
1077  operator-( const DenseMatrix<MT1,SO>& lhs, const DenseMatrix<MT2,SO>& rhs )
1078 {
1080 
1081  if( (~lhs).rows() != (~rhs).rows() || (~lhs).columns() != (~rhs).columns() ) {
1082  BLAZE_THROW_INVALID_ARGUMENT( "Matrix sizes do not match" );
1083  }
1084 
1086  return ReturnType( ~lhs, ~rhs );
1087 }
1088 //*************************************************************************************************
1089 
1090 
1091 
1092 
1093 //=================================================================================================
1094 //
1095 // ISALIGNED SPECIALIZATIONS
1096 //
1097 //=================================================================================================
1098 
1099 //*************************************************************************************************
1101 template< typename MT1, typename MT2, bool SO >
1102 struct IsAligned< DMatDMatSubExpr<MT1,MT2,SO> >
1103  : public BoolConstant< IsAligned_v<MT1> && IsAligned_v<MT2> >
1104 {};
1106 //*************************************************************************************************
1107 
1108 
1109 
1110 
1111 //=================================================================================================
1112 //
1113 // ISPADDED SPECIALIZATIONS
1114 //
1115 //=================================================================================================
1116 
1117 //*************************************************************************************************
1119 template< typename MT1, typename MT2, bool SO >
1120 struct IsPadded< DMatDMatSubExpr<MT1,MT2,SO> >
1121  : public BoolConstant< IsPadded_v<MT1> && IsPadded_v<MT2> >
1122 {};
1124 //*************************************************************************************************
1125 
1126 } // namespace blaze
1127 
1128 #endif
Constraint on the data type.
#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
Pointer difference type of the Blaze library.
Header file for auxiliary alias declarations.
const ConstIterator operator++(int)
Post-increment operator.
Definition: DMatDMatSubExpr.h:258
CompositeType_t< MT1 > CT1
Composite type of the left-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:103
ElementType * PointerType
Pointer return type.
Definition: DMatDMatSubExpr.h:185
typename SubTrait< T1, T2 >::Type SubTrait_t
Auxiliary alias declaration for the SubTrait class template.The SubTrait_t alias declaration provides...
Definition: SubTrait.h:238
ConstIterator & operator++()
Pre-increment operator.
Definition: DMatDMatSubExpr.h:246
Header file for the subtraction trait.
bool isSame(const Matrix< MT1, SO1 > &a, const Matrix< MT2, SO2 > &b) noexcept
Returns whether the two given matrices represent the same observable state.
Definition: Matrix.h:992
Header file for basic type definitions.
ConstIterator_t< MT2 > RightIteratorType
ConstIterator type of the right-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:200
bool operator>(const ConstIterator &rhs) const
Greater-than comparison between two ConstIterator objects.
Definition: DMatDMatSubExpr.h:344
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
DifferenceType operator-(const ConstIterator &rhs) const
Calculating the number of elements between two iterators.
Definition: DMatDMatSubExpr.h:377
ElementType_t< MT1 > ET1
Element type of the left-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:105
typename T::ResultType ResultType_t
Alias declaration for nested ResultType type definitions.The ResultType_t alias declaration provides ...
Definition: Aliases.h:390
Header file for the serial shim.
#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
Efficient implementation of a compressed matrix.The CompressedMatrix class template is the represent...
Definition: CompressedMatrix.h:224
#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
ElementType & ReferenceType
Reference return type.
Definition: DMatDMatSubExpr.h:186
static constexpr bool smpAssignable
Compilation flag for SMP assignments.
Definition: CompressedMatrix.h:3113
ConstIterator & operator--()
Pre-decrement operator.
Definition: DMatDMatSubExpr.h:268
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: DMatDMatSubExpr.h:531
auto load() const noexcept
Access to the SIMD elements of the matrix.
Definition: DMatDMatSubExpr.h:300
Header file for the Computation base class.
Header file for the RequiresEvaluation type trait.
typename T::ReturnType ReturnType_t
Alias declaration for nested ReturnType type definitions.The ReturnType_t alias declaration provides ...
Definition: Aliases.h:410
PointerType pointer
Pointer return type.
Definition: DMatDMatSubExpr.h:192
ReferenceType reference
Reference return type.
Definition: DMatDMatSubExpr.h:193
constexpr size_t columns(const Matrix< MT, SO > &matrix) noexcept
Returns the current number of columns of the matrix.
Definition: Matrix.h:514
Base class for dense matrices.The DenseMatrix class is a base class for all dense matrix classes...
Definition: DenseMatrix.h:80
Iterator over the elements of the dense matrix.
Definition: DMatDMatSubExpr.h:179
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
ValueType value_type
Type of the underlying elements.
Definition: DMatDMatSubExpr.h:191
bool operator<(const ConstIterator &rhs) const
Less-than comparison between two ConstIterator objects.
Definition: DMatDMatSubExpr.h:333
static constexpr bool simdEnabled
Compilation switch for the expression template evaluation strategy.
Definition: DMatDMatSubExpr.h:428
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
BLAZE_ALWAYS_INLINE auto load(size_t i, size_t j) const noexcept
Access to the SIMD elements of the matrix.
Definition: DMatDMatSubExpr.h:495
ConstIterator_t< MT1 > LeftIteratorType
ConstIterator type of the left-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:197
If_t< IsExpression_v< MT1 >, const MT1, const MT1 &> LeftOperand
Composite type of the left-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:170
RightOperand rhs_
Right-hand side dense matrix of the subtraction expression.
Definition: DMatDMatSubExpr.h:615
Expression object for dense matrix-dense matrix subtractions.The DMatDMatSubExpr class represents the...
Definition: DMatDMatSubExpr.h:93
Header file for the IsTemporary type trait class.
ptrdiff_t DifferenceType
Difference between two iterators.
Definition: DMatDMatSubExpr.h:187
ReturnType_t< MT1 > RN1
Return type of the left-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:101
Base class for all matrix/matrix subtraction expression templates.The MatMatSubExpr class serves as a...
Definition: MatMatSubExpr.h:67
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
TransposeType_t< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: DMatDMatSubExpr.h:160
const If_t< returnExpr, ExprReturnType, ElementType > ReturnType
Return type for expression template evaluations.
Definition: DMatDMatSubExpr.h:164
Header file for the If class template.
static constexpr bool useAssign
Compilation switch for the serial evaluation strategy of the subtraction expression.
Definition: DMatDMatSubExpr.h:130
static constexpr bool smpAssignable
Compilation switch for the expression template assignment strategy.
Definition: DMatDMatSubExpr.h:432
bool operator<=(const ConstIterator &rhs) const
Less-than comparison between two ConstIterator objects.
Definition: DMatDMatSubExpr.h:355
ConstIterator begin(size_t i) const
Returns an iterator to the first non-zero element of row i.
Definition: DMatDMatSubExpr.h:510
#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.
const Element * ConstIterator
Iterator over constant elements.
Definition: CompressedMatrix.h:3086
CompositeType_t< MT2 > CT2
Composite type of the right-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:104
RightIteratorType right_
Iterator to the current right-hand side element.
Definition: DMatDMatSubExpr.h:421
Header file for all SIMD functionality.
Header file for the MatMatSubExpr base class.
If_t< useAssign, const ResultType, const DMatDMatSubExpr &> CompositeType
Data type for composite expression templates.
Definition: DMatDMatSubExpr.h:167
Header file for the IsOperation type trait class.
Header file for the IsAligned type trait.
ConstIterator(LeftIteratorType left, RightIteratorType right)
Constructor for the ConstIterator class.
Definition: DMatDMatSubExpr.h:209
If_t< IsExpression_v< MT2 >, const MT2, const MT2 &> RightOperand
Composite type of the right-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:173
Constraints on the storage order of matrix types.
Header file for the exception macros of the math module.
OppositeType_t< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: DMatDMatSubExpr.h:159
Constraint on the data type.
Header file for all forward declarations for expression class templates.
bool canSMPAssign() const noexcept
Returns whether the expression can be used in SMP assignments.
Definition: DMatDMatSubExpr.h:606
Header file for the EnableIf class template.
Header file for the IsPadded type trait.
typename T::OppositeType OppositeType_t
Alias declaration for nested OppositeType type definitions.The OppositeType_t alias declaration provi...
Definition: Aliases.h:270
decltype(std::declval< RN1 >() - std::declval< RN2 >()) ExprReturnType
Expression return type for the subscript operator.
Definition: DMatDMatSubExpr.h:119
DMatDMatSubExpr(const MT1 &lhs, const MT2 &rhs) noexcept
Constructor for the DMatDMatSubExpr class.
Definition: DMatDMatSubExpr.h:446
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: DMatDMatSubExpr.h:573
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.
typename T::CompositeType CompositeType_t
Alias declaration for nested CompositeType type definitions.The CompositeType_t alias declaration pro...
Definition: Aliases.h:90
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
bool operator!=(const ConstIterator &rhs) const
Inequality comparison between two ConstIterator objects.
Definition: DMatDMatSubExpr.h:322
bool operator>=(const ConstIterator &rhs) const
Greater-than comparison between two ConstIterator objects.
Definition: DMatDMatSubExpr.h:366
static constexpr bool returnExpr
Compilation switch for the selection of the subscript operator return type.
Definition: DMatDMatSubExpr.h:116
friend const ConstIterator operator+(size_t inc, const ConstIterator &it)
Addition between an integral value and a ConstIterator.
Definition: DMatDMatSubExpr.h:401
ElementType_t< ResultType > ElementType
Resulting element type.
Definition: DMatDMatSubExpr.h:161
ReturnType operator*() const
Direct access to the element at the current iterator position.
Definition: DMatDMatSubExpr.h:290
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
static constexpr size_t SIMDSIZE
The number of elements packed within a single SIMD element.
Definition: DMatDMatSubExpr.h:437
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: DMatDMatSubExpr.h:477
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
ConstIterator & operator-=(size_t dec)
Subtraction assignment operator.
Definition: DMatDMatSubExpr.h:234
Header file for the HasSIMDSub type trait.
ResultType_t< MT2 > RT2
Result type of the right-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:100
decltype(auto) serial(const DenseMatrix< MT, SO > &dm)
Forces the serial evaluation of the given dense matrix expression dm.
Definition: DMatSerialExpr.h:808
ReturnType_t< MT2 > RN2
Return type of the right-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:102
#define BLAZE_CONSTRAINT_MUST_NOT_REQUIRE_EVALUATION(T)
Constraint on the data type.In case the given data type T requires an intermediate evaluation within ...
Definition: RequiresEvaluation.h:81
IntegralConstant< bool, B > BoolConstant
Generic wrapper for a compile time constant boolean value.The BoolConstant class template represents ...
Definition: IntegralConstant.h:101
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
RightOperand rightOperand() const noexcept
Returns the right-hand side dense matrix operand.
Definition: DMatDMatSubExpr.h:561
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: DMatDMatSubExpr.h:541
friend const ConstIterator operator-(const ConstIterator &it, size_t dec)
Subtraction between a ConstIterator and an integral value.
Definition: DMatDMatSubExpr.h:413
#define BLAZE_CONSTRAINT_MATRICES_MUST_HAVE_SAME_STORAGE_ORDER(T1, T2)
Constraint on the data type.In case either of the two given data types T1 or T2 is not a matrix type ...
Definition: StorageOrder.h:84
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: DMatDMatSubExpr.h:586
typename T::ConstIterator ConstIterator_t
Alias declaration for nested ConstIterator type definitions.The ConstIterator_t alias declaration pro...
Definition: Aliases.h:110
const Type & ReturnType
Return type for expression template evaluations.
Definition: CompressedMatrix.h:3081
IteratorCategory iterator_category
The iterator category.
Definition: DMatDMatSubExpr.h:190
bool isAligned() const noexcept
Returns whether the operands of the expression are properly aligned in memory.
Definition: DMatDMatSubExpr.h:596
LeftOperand leftOperand() const noexcept
Returns the left-hand side dense matrix operand.
Definition: DMatDMatSubExpr.h:551
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
Base class for all compute expression templates.The Computation class serves as a tag for all computa...
Definition: Computation.h:66
ResultType_t< MT1 > RT1
Result type of the left-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:99
LeftIteratorType left_
Iterator to the current left-hand side element.
Definition: DMatDMatSubExpr.h:420
Header file for the IntegralConstant class template.
SubTrait_t< RT1, RT2 > ResultType
Result type for expression template evaluations.
Definition: DMatDMatSubExpr.h:158
#define BLAZE_CONSTRAINT_MUST_FORM_VALID_MATMATSUBEXPR(T1, T2)
Constraint on the data type.In case the given data types T1 and T2 do not form a valid matrix/matrix ...
Definition: MatMatSubExpr.h:103
LeftOperand lhs_
Left-hand side dense matrix of the subtraction expression.
Definition: DMatDMatSubExpr.h:614
friend const ConstIterator operator+(const ConstIterator &it, size_t inc)
Addition between a ConstIterator and an integral value.
Definition: DMatDMatSubExpr.h:389
const ConstIterator operator--(int)
Post-decrement operator.
Definition: DMatDMatSubExpr.h:280
System settings for the inline keywords.
bool operator==(const ConstIterator &rhs) const
Equality comparison between two ConstIterator objects.
Definition: DMatDMatSubExpr.h:311
std::random_access_iterator_tag IteratorCategory
The iterator category.
Definition: DMatDMatSubExpr.h:183
Header file for the thresholds for matrix/vector and matrix/matrix multiplications.
#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
ElementType ValueType
Type of the underlying elements.
Definition: DMatDMatSubExpr.h:184
ElementType_t< MT2 > ET2
Element type of the right-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:106
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: DMatDMatSubExpr.h:462
Header file for the IsExpression type trait class.
Header file for the function trace functionality.
ConstIterator end(size_t i) const
Returns an iterator just past the last non-zero element of row i.
Definition: DMatDMatSubExpr.h:521
ConstIterator & operator+=(size_t inc)
Addition assignment operator.
Definition: DMatDMatSubExpr.h:221