DMatDMatAddExpr.h
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1 //=================================================================================================
33 //=================================================================================================
34 
35 #ifndef _BLAZE_MATH_EXPRESSIONS_DMATDMATADDEXPR_H_
36 #define _BLAZE_MATH_EXPRESSIONS_DMATDMATADDEXPR_H_
37 
38 
39 //*************************************************************************************************
40 // Includes
41 //*************************************************************************************************
42 
43 #include <iterator>
44 #include <blaze/math/Aliases.h>
49 #include <blaze/math/Exception.h>
55 #include <blaze/math/SIMD.h>
75 #include <blaze/system/Inline.h>
77 #include <blaze/util/Assert.h>
78 #include <blaze/util/EnableIf.h>
81 #include <blaze/util/mpl/And.h>
82 #include <blaze/util/mpl/If.h>
83 #include <blaze/util/mpl/Maximum.h>
84 #include <blaze/util/mpl/Or.h>
85 #include <blaze/util/Types.h>
86 
87 
88 namespace blaze {
89 
90 //=================================================================================================
91 //
92 // CLASS DMATDMATADDEXPR
93 //
94 //=================================================================================================
95 
96 //*************************************************************************************************
103 template< typename MT1 // Type of the left-hand side dense matrix
104  , typename MT2 // Type of the right-hand side dense matrix
105  , bool SO > // Storage order
107  : public MatMatAddExpr< DenseMatrix< DMatDMatAddExpr<MT1,MT2,SO>, SO > >
108  , private Computation
109 {
110  private:
111  //**Type definitions****************************************************************************
120  //**********************************************************************************************
121 
122  //**Return type evaluation**********************************************************************
124 
129  enum : bool { returnExpr = !IsTemporary<RN1>::value && !IsTemporary<RN2>::value };
130 
133  //**********************************************************************************************
134 
135  //**Serial evaluation strategy******************************************************************
137 
143  enum : bool { useAssign = RequiresEvaluation<MT1>::value || RequiresEvaluation<MT2>::value || !returnExpr };
144 
146  template< typename MT >
148  struct UseAssign {
149  enum : bool { value = useAssign };
150  };
152  //**********************************************************************************************
153 
154  //**Parallel evaluation strategy****************************************************************
156 
162  template< typename MT >
163  struct UseSMPAssign {
164  enum : bool { value = ( !MT1::smpAssignable || !MT2::smpAssignable ) && useAssign };
165  };
167  //**********************************************************************************************
168 
169  public:
170  //**Type definitions****************************************************************************
176 
179 
182 
184  using LeftOperand = If_< IsExpression<MT1>, const MT1, const MT1& >;
185 
187  using RightOperand = If_< IsExpression<MT2>, const MT2, const MT2& >;
188  //**********************************************************************************************
189 
190  //**ConstIterator class definition**************************************************************
194  {
195  public:
196  //**Type definitions*************************************************************************
197  using IteratorCategory = std::random_access_iterator_tag;
202 
203  // STL iterator requirements
209 
212 
215  //*******************************************************************************************
216 
217  //**Constructor******************************************************************************
223  explicit inline ConstIterator( LeftIteratorType left, RightIteratorType right )
224  : left_ ( left ) // Iterator to the current left-hand side element
225  , right_( right ) // Iterator to the current right-hand side element
226  {}
227  //*******************************************************************************************
228 
229  //**Addition assignment operator*************************************************************
235  inline ConstIterator& operator+=( size_t inc ) {
236  left_ += inc;
237  right_ += inc;
238  return *this;
239  }
240  //*******************************************************************************************
241 
242  //**Subtraction assignment operator**********************************************************
248  inline ConstIterator& operator-=( size_t dec ) {
249  left_ -= dec;
250  right_ -= dec;
251  return *this;
252  }
253  //*******************************************************************************************
254 
255  //**Prefix increment operator****************************************************************
261  ++left_;
262  ++right_;
263  return *this;
264  }
265  //*******************************************************************************************
266 
267  //**Postfix increment operator***************************************************************
272  inline const ConstIterator operator++( int ) {
273  return ConstIterator( left_++, right_++ );
274  }
275  //*******************************************************************************************
276 
277  //**Prefix decrement operator****************************************************************
283  --left_;
284  --right_;
285  return *this;
286  }
287  //*******************************************************************************************
288 
289  //**Postfix decrement operator***************************************************************
294  inline const ConstIterator operator--( int ) {
295  return ConstIterator( left_--, right_-- );
296  }
297  //*******************************************************************************************
298 
299  //**Element access operator******************************************************************
304  inline ReturnType operator*() const {
305  return (*left_) + (*right_);
306  }
307  //*******************************************************************************************
308 
309  //**Load function****************************************************************************
314  inline auto load() const noexcept {
315  return left_.load() + right_.load();
316  }
317  //*******************************************************************************************
318 
319  //**Equality operator************************************************************************
325  inline bool operator==( const ConstIterator& rhs ) const {
326  return left_ == rhs.left_;
327  }
328  //*******************************************************************************************
329 
330  //**Inequality operator**********************************************************************
336  inline bool operator!=( const ConstIterator& rhs ) const {
337  return left_ != rhs.left_;
338  }
339  //*******************************************************************************************
340 
341  //**Less-than operator***********************************************************************
347  inline bool operator<( const ConstIterator& rhs ) const {
348  return left_ < rhs.left_;
349  }
350  //*******************************************************************************************
351 
352  //**Greater-than operator********************************************************************
358  inline bool operator>( const ConstIterator& rhs ) const {
359  return left_ > rhs.left_;
360  }
361  //*******************************************************************************************
362 
363  //**Less-or-equal-than operator**************************************************************
369  inline bool operator<=( const ConstIterator& rhs ) const {
370  return left_ <= rhs.left_;
371  }
372  //*******************************************************************************************
373 
374  //**Greater-or-equal-than operator***********************************************************
380  inline bool operator>=( const ConstIterator& rhs ) const {
381  return left_ >= rhs.left_;
382  }
383  //*******************************************************************************************
384 
385  //**Subtraction operator*********************************************************************
391  inline DifferenceType operator-( const ConstIterator& rhs ) const {
392  return left_ - rhs.left_;
393  }
394  //*******************************************************************************************
395 
396  //**Addition operator************************************************************************
403  friend inline const ConstIterator operator+( const ConstIterator& it, size_t inc ) {
404  return ConstIterator( it.left_ + inc, it.right_ + inc );
405  }
406  //*******************************************************************************************
407 
408  //**Addition operator************************************************************************
415  friend inline const ConstIterator operator+( size_t inc, const ConstIterator& it ) {
416  return ConstIterator( it.left_ + inc, it.right_ + inc );
417  }
418  //*******************************************************************************************
419 
420  //**Subtraction operator*********************************************************************
427  friend inline const ConstIterator operator-( const ConstIterator& it, size_t dec ) {
428  return ConstIterator( it.left_ - dec, it.right_ - dec );
429  }
430  //*******************************************************************************************
431 
432  private:
433  //**Member variables*************************************************************************
436  //*******************************************************************************************
437  };
438  //**********************************************************************************************
439 
440  //**Compilation flags***************************************************************************
442  enum : bool { simdEnabled = MT1::simdEnabled && MT2::simdEnabled &&
444 
446  enum : bool { smpAssignable = MT1::smpAssignable && MT2::smpAssignable };
447  //**********************************************************************************************
448 
449  //**SIMD properties*****************************************************************************
451  enum : size_t { SIMDSIZE = SIMDTrait<ElementType>::size };
452  //**********************************************************************************************
453 
454  //**Constructor*********************************************************************************
460  explicit inline DMatDMatAddExpr( const MT1& lhs, const MT2& rhs ) noexcept
461  : lhs_( lhs ) // Left-hand side dense matrix of the addition expression
462  , rhs_( rhs ) // Right-hand side dense matrix of the addition expression
463  {
464  BLAZE_INTERNAL_ASSERT( lhs.rows() == rhs.rows() , "Invalid number of rows" );
465  BLAZE_INTERNAL_ASSERT( lhs.columns() == rhs.columns(), "Invalid number of columns" );
466  }
467  //**********************************************************************************************
468 
469  //**Access operator*****************************************************************************
476  inline ReturnType operator()( size_t i, size_t j ) const {
477  BLAZE_INTERNAL_ASSERT( i < lhs_.rows() , "Invalid row access index" );
478  BLAZE_INTERNAL_ASSERT( j < lhs_.columns(), "Invalid column access index" );
479  return lhs_(i,j) + rhs_(i,j);
480  }
481  //**********************************************************************************************
482 
483  //**At function*********************************************************************************
491  inline ReturnType at( size_t i, size_t j ) const {
492  if( i >= lhs_.rows() ) {
493  BLAZE_THROW_OUT_OF_RANGE( "Invalid row access index" );
494  }
495  if( j >= lhs_.columns() ) {
496  BLAZE_THROW_OUT_OF_RANGE( "Invalid column access index" );
497  }
498  return (*this)(i,j);
499  }
500  //**********************************************************************************************
501 
502  //**Load function*******************************************************************************
509  BLAZE_ALWAYS_INLINE auto load( size_t i, size_t j ) const noexcept {
510  BLAZE_INTERNAL_ASSERT( i < lhs_.rows() , "Invalid row access index" );
511  BLAZE_INTERNAL_ASSERT( j < lhs_.columns(), "Invalid column access index" );
512  BLAZE_INTERNAL_ASSERT( !SO || ( i % SIMDSIZE == 0UL ), "Invalid row access index" );
513  BLAZE_INTERNAL_ASSERT( SO || ( j % SIMDSIZE == 0UL ), "Invalid column access index" );
514  return lhs_.load(i,j) + rhs_.load(i,j);
515  }
516  //**********************************************************************************************
517 
518  //**Begin function******************************************************************************
524  inline ConstIterator begin( size_t i ) const {
525  return ConstIterator( lhs_.begin(i), rhs_.begin(i) );
526  }
527  //**********************************************************************************************
528 
529  //**End function********************************************************************************
535  inline ConstIterator end( size_t i ) const {
536  return ConstIterator( lhs_.end(i), rhs_.end(i) );
537  }
538  //**********************************************************************************************
539 
540  //**Rows function*******************************************************************************
545  inline size_t rows() const noexcept {
546  return lhs_.rows();
547  }
548  //**********************************************************************************************
549 
550  //**Columns function****************************************************************************
555  inline size_t columns() const noexcept {
556  return lhs_.columns();
557  }
558  //**********************************************************************************************
559 
560  //**Left operand access*************************************************************************
565  inline LeftOperand leftOperand() const noexcept {
566  return lhs_;
567  }
568  //**********************************************************************************************
569 
570  //**Right operand access************************************************************************
575  inline RightOperand rightOperand() const noexcept {
576  return rhs_;
577  }
578  //**********************************************************************************************
579 
580  //**********************************************************************************************
586  template< typename T >
587  inline bool canAlias( const T* alias ) const noexcept {
588  return ( IsExpression<MT1>::value && ( RequiresEvaluation<MT1>::value ? lhs_.isAliased( alias ) : lhs_.canAlias( alias ) ) ) ||
589  ( IsExpression<MT2>::value && ( RequiresEvaluation<MT2>::value ? rhs_.isAliased( alias ) : rhs_.canAlias( alias ) ) );
590  }
591  //**********************************************************************************************
592 
593  //**********************************************************************************************
599  template< typename T >
600  inline bool isAliased( const T* alias ) const noexcept {
601  return ( lhs_.isAliased( alias ) || rhs_.isAliased( alias ) );
602  }
603  //**********************************************************************************************
604 
605  //**********************************************************************************************
610  inline bool isAligned() const noexcept {
611  return lhs_.isAligned() && rhs_.isAligned();
612  }
613  //**********************************************************************************************
614 
615  //**********************************************************************************************
620  inline bool canSMPAssign() const noexcept {
621  return lhs_.canSMPAssign() || rhs_.canSMPAssign() ||
622  ( rows() * columns() >= SMP_DMATDMATADD_THRESHOLD );
623  }
624  //**********************************************************************************************
625 
626  private:
627  //**Member variables****************************************************************************
630  //**********************************************************************************************
631 
632  //**Assignment to dense matrices****************************************************************
646  template< typename MT // Type of the target dense matrix
647  , bool SO2 > // Storage order of the target dense matrix
648  friend inline EnableIf_< UseAssign<MT> >
649  assign( DenseMatrix<MT,SO2>& lhs, const DMatDMatAddExpr& rhs )
650  {
652 
653  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
654  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
655 
656  if( !IsOperation<MT1>::value && isSame( ~lhs, rhs.lhs_ ) ) {
657  addAssign( ~lhs, rhs.rhs_ );
658  }
659  else if( !IsOperation<MT2>::value && isSame( ~lhs, rhs.rhs_ ) ) {
660  addAssign( ~lhs, rhs.lhs_ );
661  }
662  else {
663  assign ( ~lhs, rhs.lhs_ );
664  addAssign( ~lhs, rhs.rhs_ );
665  }
666  }
668  //**********************************************************************************************
669 
670  //**Assignment to sparse matrices***************************************************************
684  template< typename MT // Type of the target sparse matrix
685  , bool SO2 > // Storage order of the target sparse matrix
686  friend inline EnableIf_< UseAssign<MT> >
687  assign( SparseMatrix<MT,SO2>& lhs, const DMatDMatAddExpr& rhs )
688  {
690 
692 
699 
700  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
701  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
702 
703  const TmpType tmp( serial( rhs ) );
704  assign( ~lhs, tmp );
705  }
707  //**********************************************************************************************
708 
709  //**Addition assignment to dense matrices*******************************************************
723  template< typename MT // Type of the target dense matrix
724  , bool SO2 > // Storage order of the target dense matrix
725  friend inline EnableIf_< UseAssign<MT> >
726  addAssign( DenseMatrix<MT,SO2>& lhs, const DMatDMatAddExpr& rhs )
727  {
729 
730  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
731  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
732 
733  addAssign( ~lhs, rhs.lhs_ );
734  addAssign( ~lhs, rhs.rhs_ );
735  }
737  //**********************************************************************************************
738 
739  //**Addition assignment to sparse matrices******************************************************
740  // No special implementation for the addition assignment to sparse matrices.
741  //**********************************************************************************************
742 
743  //**Subtraction assignment to dense matrices****************************************************
757  template< typename MT // Type of the target dense matrix
758  , bool SO2 > // Storage order of the target dense matrix
759  friend inline EnableIf_< UseAssign<MT> >
760  subAssign( DenseMatrix<MT,SO2>& lhs, const DMatDMatAddExpr& rhs )
761  {
763 
764  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
765  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
766 
767  subAssign( ~lhs, rhs.lhs_ );
768  subAssign( ~lhs, rhs.rhs_ );
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 EnableIf_< UseAssign<MT> >
794  schurAssign( DenseMatrix<MT,SO2>& lhs, const DMatDMatAddExpr& rhs )
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 EnableIf_< UseSMPAssign<MT> >
840  smpAssign( DenseMatrix<MT,SO2>& lhs, const DMatDMatAddExpr& rhs )
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<MT1>::value && isSame( ~lhs, rhs.lhs_ ) ) {
848  smpAddAssign( ~lhs, rhs.rhs_ );
849  }
850  else if( !IsOperation<MT2>::value && isSame( ~lhs, rhs.rhs_ ) ) {
851  smpAddAssign( ~lhs, rhs.lhs_ );
852  }
853  else {
854  smpAssign ( ~lhs, rhs.lhs_ );
855  smpAddAssign( ~lhs, rhs.rhs_ );
856  }
857  }
859  //**********************************************************************************************
860 
861  //**SMP assignment to sparse matrices***********************************************************
875  template< typename MT // Type of the target sparse matrix
876  , bool SO2 > // Storage order of the target sparse matrix
877  friend inline EnableIf_< UseSMPAssign<MT> >
879  {
881 
883 
890 
891  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
892  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
893 
894  const TmpType tmp( rhs );
895  smpAssign( ~lhs, tmp );
896  }
898  //**********************************************************************************************
899 
900  //**SMP addition assignment to dense matrices***************************************************
914  template< typename MT // Type of the target dense matrix
915  , bool SO2 > // Storage order of the target dense matrix
916  friend inline EnableIf_< UseSMPAssign<MT> >
918  {
920 
921  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
922  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
923 
924  smpAddAssign( ~lhs, rhs.lhs_ );
925  smpAddAssign( ~lhs, rhs.rhs_ );
926  }
928  //**********************************************************************************************
929 
930  //**SMP addition assignment to sparse matrices**************************************************
931  // No special implementation for the SMP addition assignment to sparse matrices.
932  //**********************************************************************************************
933 
934  //**SMP subtraction assignment to dense matrices************************************************
948  template< typename MT // Type of the target dense matrix
949  , bool SO2 > // Storage order of the target dense matrix
950  friend inline EnableIf_< UseSMPAssign<MT> >
952  {
954 
955  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
956  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
957 
958  smpSubAssign( ~lhs, rhs.lhs_ );
959  smpSubAssign( ~lhs, rhs.rhs_ );
960  }
962  //**********************************************************************************************
963 
964  //**SMP subtraction assignment to sparse matrices***********************************************
965  // No special implementation for the SMP subtraction assignment to sparse matrices.
966  //**********************************************************************************************
967 
968  //**SMP Schur product assignment to dense matrices**********************************************
982  template< typename MT // Type of the target dense matrix
983  , bool SO2 > // Storage order of the target dense matrix
984  friend inline EnableIf_< UseSMPAssign<MT> >
986  {
988 
992 
993  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
994  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
995 
996  const ResultType tmp( rhs );
997  smpSchurAssign( ~lhs, tmp );
998  }
1000  //**********************************************************************************************
1001 
1002  //**SMP Schur product assignment to sparse matrices*********************************************
1003  // No special implementation for the SMP Schur product assignment to sparse matrices.
1004  //**********************************************************************************************
1005 
1006  //**SMP multiplication assignment to dense matrices*********************************************
1007  // No special implementation for the SMP multiplication assignment to dense matrices.
1008  //**********************************************************************************************
1009 
1010  //**SMP multiplication assignment to sparse matrices********************************************
1011  // No special implementation for the SMP multiplication assignment to sparse matrices.
1012  //**********************************************************************************************
1013 
1014  //**Compile time checks*************************************************************************
1021  //**********************************************************************************************
1022 };
1023 //*************************************************************************************************
1024 
1025 
1026 
1027 
1028 //=================================================================================================
1029 //
1030 // GLOBAL BINARY ARITHMETIC OPERATORS
1031 //
1032 //=================================================================================================
1033 
1034 //*************************************************************************************************
1061 template< typename MT1 // Type of the left-hand side dense matrix
1062  , typename MT2 // Type of the right-hand side dense matrix
1063  , bool SO > // Storage order
1064 inline decltype(auto)
1065  operator+( const DenseMatrix<MT1,SO>& lhs, const DenseMatrix<MT2,SO>& rhs )
1066 {
1068 
1069  if( (~lhs).rows() != (~rhs).rows() || (~lhs).columns() != (~rhs).columns() ) {
1070  BLAZE_THROW_INVALID_ARGUMENT( "Matrix sizes do not match" );
1071  }
1072 
1074  return ReturnType( ~lhs, ~rhs );
1075 }
1076 //*************************************************************************************************
1077 
1078 
1079 
1080 
1081 //=================================================================================================
1082 //
1083 // ROWS SPECIALIZATIONS
1084 //
1085 //=================================================================================================
1086 
1087 //*************************************************************************************************
1089 template< typename MT1, typename MT2, bool SO >
1090 struct Rows< DMatDMatAddExpr<MT1,MT2,SO> >
1091  : public Maximum< Rows<MT1>, Rows<MT2> >
1092 {};
1094 //*************************************************************************************************
1095 
1096 
1097 
1098 
1099 //=================================================================================================
1100 //
1101 // COLUMNS SPECIALIZATIONS
1102 //
1103 //=================================================================================================
1104 
1105 //*************************************************************************************************
1107 template< typename MT1, typename MT2, bool SO >
1108 struct Columns< DMatDMatAddExpr<MT1,MT2,SO> >
1109  : public Maximum< Columns<MT1>, Columns<MT2> >
1110 {};
1112 //*************************************************************************************************
1113 
1114 
1115 
1116 
1117 //=================================================================================================
1118 //
1119 // ISALIGNED SPECIALIZATIONS
1120 //
1121 //=================================================================================================
1122 
1123 //*************************************************************************************************
1125 template< typename MT1, typename MT2, bool SO >
1126 struct IsAligned< DMatDMatAddExpr<MT1,MT2,SO> >
1127  : public BoolConstant< And< IsAligned<MT1>, IsAligned<MT2> >::value >
1128 {};
1130 //*************************************************************************************************
1131 
1132 
1133 
1134 
1135 //=================================================================================================
1136 //
1137 // ISPADDED SPECIALIZATIONS
1138 //
1139 //=================================================================================================
1140 
1141 //*************************************************************************************************
1143 template< typename MT1, typename MT2, bool SO >
1144 struct IsPadded< DMatDMatAddExpr<MT1,MT2,SO> >
1145  : public BoolConstant< And< IsPadded<MT1>, IsPadded<MT2> >::value >
1146 {};
1148 //*************************************************************************************************
1149 
1150 
1151 
1152 
1153 //=================================================================================================
1154 //
1155 // ISSYMMETRIC SPECIALIZATIONS
1156 //
1157 //=================================================================================================
1158 
1159 //*************************************************************************************************
1161 template< typename MT1, typename MT2, bool SO >
1162 struct IsSymmetric< DMatDMatAddExpr<MT1,MT2,SO> >
1163  : public BoolConstant< IsSymmetric<MT1>::value && IsSymmetric<MT2>::value >
1164 {};
1166 //*************************************************************************************************
1167 
1168 
1169 
1170 
1171 //=================================================================================================
1172 //
1173 // ISHERMITIAN SPECIALIZATIONS
1174 //
1175 //=================================================================================================
1176 
1177 //*************************************************************************************************
1179 template< typename MT1, typename MT2, bool SO >
1180 struct IsHermitian< DMatDMatAddExpr<MT1,MT2,SO> >
1181  : public BoolConstant< IsHermitian<MT1>::value && IsHermitian<MT2>::value >
1182 {};
1184 //*************************************************************************************************
1185 
1186 
1187 
1188 
1189 //=================================================================================================
1190 //
1191 // ISLOWER SPECIALIZATIONS
1192 //
1193 //=================================================================================================
1194 
1195 //*************************************************************************************************
1197 template< typename MT1, typename MT2, bool SO >
1198 struct IsLower< DMatDMatAddExpr<MT1,MT2,SO> >
1199  : public BoolConstant< And< IsLower<MT1>, IsLower<MT2> >::value >
1200 {};
1202 //*************************************************************************************************
1203 
1204 
1205 
1206 
1207 //=================================================================================================
1208 //
1209 // ISUNILOWER SPECIALIZATIONS
1210 //
1211 //=================================================================================================
1212 
1213 //*************************************************************************************************
1215 template< typename MT1, typename MT2, bool SO >
1216 struct IsUniLower< DMatDMatAddExpr<MT1,MT2,SO> >
1217  : public BoolConstant< Or< And< IsUniLower<MT1>, IsStrictlyLower<MT2> >
1218  , And< IsUniLower<MT2>, IsStrictlyLower<MT1> > >::value >
1219 {};
1221 //*************************************************************************************************
1222 
1223 
1224 
1225 
1226 //=================================================================================================
1227 //
1228 // ISSTRICTLYLOWER SPECIALIZATIONS
1229 //
1230 //=================================================================================================
1231 
1232 //*************************************************************************************************
1234 template< typename MT1, typename MT2, bool SO >
1235 struct IsStrictlyLower< DMatDMatAddExpr<MT1,MT2,SO> >
1236  : public BoolConstant< And< IsStrictlyLower<MT1>, IsStrictlyLower<MT2> >::value >
1237 {};
1239 //*************************************************************************************************
1240 
1241 
1242 
1243 
1244 //=================================================================================================
1245 //
1246 // ISUPPER SPECIALIZATIONS
1247 //
1248 //=================================================================================================
1249 
1250 //*************************************************************************************************
1252 template< typename MT1, typename MT2, bool SO >
1253 struct IsUpper< DMatDMatAddExpr<MT1,MT2,SO> >
1254  : public BoolConstant< And< IsUpper<MT1>, IsUpper<MT2> >::value >
1255 {};
1257 //*************************************************************************************************
1258 
1259 
1260 
1261 
1262 //=================================================================================================
1263 //
1264 // ISUNIUPPER SPECIALIZATIONS
1265 //
1266 //=================================================================================================
1267 
1268 //*************************************************************************************************
1270 template< typename MT1, typename MT2, bool SO >
1271 struct IsUniUpper< DMatDMatAddExpr<MT1,MT2,SO> >
1272  : public BoolConstant< Or< And< IsUniUpper<MT1>, IsStrictlyUpper<MT2> >
1273  , And< IsUniUpper<MT2>, IsStrictlyUpper<MT1> > >::value >
1274 {};
1276 //*************************************************************************************************
1277 
1278 
1279 
1280 
1281 //=================================================================================================
1282 //
1283 // ISSTRICTLYUPPER SPECIALIZATIONS
1284 //
1285 //=================================================================================================
1286 
1287 //*************************************************************************************************
1289 template< typename MT1, typename MT2, bool SO >
1290 struct IsStrictlyUpper< DMatDMatAddExpr<MT1,MT2,SO> >
1291  : public BoolConstant< And< IsStrictlyUpper<MT1>, IsStrictlyUpper<MT2> >::value >
1292 {};
1294 //*************************************************************************************************
1295 
1296 } // namespace blaze
1297 
1298 #endif
ReturnType operator*() const
Direct access to the element at the current iterator position.
Definition: DMatDMatAddExpr.h:304
bool operator>(const ConstIterator &rhs) const
Greater-than comparison between two ConstIterator objects.
Definition: DMatDMatAddExpr.h:358
#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.
ValueType value_type
Type of the underlying elements.
Definition: DMatDMatAddExpr.h:205
Header file for auxiliary alias declarations.
ConstIterator & operator++()
Pre-increment operator.
Definition: DMatDMatAddExpr.h:260
DMatDMatAddExpr(const MT1 &lhs, const MT2 &rhs) noexcept
Constructor for the DMatDMatAddExpr class.
Definition: DMatDMatAddExpr.h:460
ConstIterator & operator+=(size_t inc)
Addition assignment operator.
Definition: DMatDMatAddExpr.h:235
ConstIterator(LeftIteratorType left, RightIteratorType right)
Constructor for the ConstIterator class.
Definition: DMatDMatAddExpr.h:223
ConstIterator & operator-=(size_t dec)
Subtraction assignment operator.
Definition: DMatDMatAddExpr.h:248
Compile time check whether the given type is a temporary vector or matrix type.This type trait class ...
Definition: IsTemporary.h:70
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: DMatDMatAddExpr.h:174
Header file for the Rows type trait.
Header file for the IsUniUpper type trait.
EnableIf_< IsDenseMatrix< MT1 > > smpSchurAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the SMP Schur product assignment of a matrix to dense matrix.
Definition: DenseMatrix.h:196
BLAZE_ALWAYS_INLINE 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:786
Header file for basic type definitions.
Compile time check whether the given type is an operational expression template.This type trait class...
Definition: IsOperation.h:71
EnableIf_< IsDenseMatrix< MT1 > > smpSubAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the SMP subtraction assignment of a matrix to dense matrix.
Definition: DenseMatrix.h:164
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
Generic wrapper for a compile time constant integral value.The IntegralConstant class template repres...
Definition: IntegralConstant.h:71
#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
ConstIterator_< MT1 > LeftIteratorType
ConstIterator type of the left-hand side dense matrix expression.
Definition: DMatDMatAddExpr.h:211
const IfTrue_< returnExpr, ExprReturnType, ElementType > ReturnType
Return type for expression template evaluations.
Definition: DMatDMatAddExpr.h:178
Header file for the And class template.
Compile time value evaluation.The Maximum alias declaration selects the larger of the two given templ...
Definition: Maximum.h:73
Compile time check for lower triangular matrices.This type trait tests whether or not the given templ...
Definition: IsLower.h:88
Availability of a SIMD addition for the given data types.Depending on the available instruction set (...
Definition: HasSIMDAdd.h:171
Header file for the AddExprTrait class template.
If_< IsExpression< MT1 >, const MT1, const MT1 &> LeftOperand
Composite type of the left-hand side dense matrix expression.
Definition: DMatDMatAddExpr.h:184
Header file for the Computation base class.
ElementType_< ResultType > ElementType
Resulting element type.
Definition: DMatDMatAddExpr.h:175
Compile time check for upper triangular matrices.This type trait tests whether or not the given templ...
Definition: IsUpper.h:88
ReturnType_< MT1 > RN1
Return type of the left-hand side dense matrix expression.
Definition: DMatDMatAddExpr.h:114
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: DMatDMatAddExpr.h:600
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: DMatDMatAddExpr.h:555
Header file for the RequiresEvaluation type trait.
LeftOperand leftOperand() const noexcept
Returns the left-hand side dense matrix operand.
Definition: DMatDMatAddExpr.h:565
Header file for the IsUniLower type trait.
typename T::ResultType ResultType_
Alias declaration for nested ResultType type definitions.The ResultType_ alias declaration provides a...
Definition: Aliases.h:343
IfTrue_< useAssign, const ResultType, const DMatDMatAddExpr &> CompositeType
Data type for composite expression templates.
Definition: DMatDMatAddExpr.h:181
EnableIf_< IsDenseMatrix< MT1 > > smpAddAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the SMP addition assignment of a matrix to a dense matrix.
Definition: DenseMatrix.h:133
Base class for dense matrices.The DenseMatrix class is a base class for all dense matrix classes...
Definition: DenseMatrix.h:78
Base class for sparse matrices.The SparseMatrix class is a base class for all sparse matrix classes...
Definition: Forward.h:129
ElementType_< MT1 > ET1
Element type of the left-hand side dense matrix expression.
Definition: DMatDMatAddExpr.h:118
typename IfTrue< Condition, T1, T2 >::Type IfTrue_
Auxiliary alias declaration for the IfTrue class template.The IfTrue_ alias declaration provides a co...
Definition: If.h:109
typename T::ReturnType ReturnType_
Alias declaration for nested ReturnType type definitions.The ReturnType_ alias declaration provides a...
Definition: Aliases.h:363
Iterator over the elements of the dense matrix.
Definition: DMatDMatAddExpr.h:193
Compile time check for the alignment of data types.This type trait tests whether the given data type ...
Definition: IsAligned.h:87
Constraint on the data type.
Header file for the Maximum class template.
Compile time check to query the requirement to evaluate an expression.Via this type trait it is possi...
Definition: RequiresEvaluation.h:72
typename T::CompositeType CompositeType_
Alias declaration for nested CompositeType type definitions.The CompositeType_ alias declaration prov...
Definition: Aliases.h:83
RightIteratorType right_
Iterator to the current right-hand side element.
Definition: DMatDMatAddExpr.h:435
ConstIterator begin(size_t i) const
Returns an iterator to the first non-zero element of row i.
Definition: DMatDMatAddExpr.h:524
ElementType & ReferenceType
Reference return type.
Definition: DMatDMatAddExpr.h:200
Compile time check for upper unitriangular matrices.This type trait tests whether or not the given te...
Definition: IsUniUpper.h:86
bool operator==(const ConstIterator &rhs) const
Equality comparison between two ConstIterator objects.
Definition: DMatDMatAddExpr.h:325
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: DMatDMatAddExpr.h:545
Expression object for dense matrix-dense matrix additions.The DMatDMatAddExpr class represents the co...
Definition: DMatDMatAddExpr.h:106
Header file for the IsTemporary type trait class.
CompositeType_< MT2 > CT2
Composite type of the right-hand side dense matrix expression.
Definition: DMatDMatAddExpr.h:117
Header file for the IsStrictlyUpper type trait.
DifferenceType operator-(const ConstIterator &rhs) const
Calculating the number of elements between two iterators.
Definition: DMatDMatAddExpr.h:391
Header file for the IsSymmetric type trait.
ConstIterator_< MT2 > RightIteratorType
ConstIterator type of the right-hand side dense matrix expression.
Definition: DMatDMatAddExpr.h:214
typename AddExprTrait< T1, T2 >::Type AddExprTrait_
Auxiliary alias declaration for the AddExprTrait class template.The AddExprTrait_ alias declaration p...
Definition: AddExprTrait.h:112
Namespace of the Blaze C++ math library.
Definition: Blaze.h:57
#define BLAZE_ALWAYS_INLINE
Platform dependent setup of an enforced inline keyword.
Definition: Inline.h:85
Header file for the If class template.
const ConstIterator operator--(int)
Post-decrement operator.
Definition: DMatDMatAddExpr.h:294
Compile time check for data types with padding.This type trait tests whether the given data type empl...
Definition: IsPadded.h:76
EnableIf_< IsDenseMatrix< MT1 > > smpAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the SMP assignment of a matrix to a dense matrix.
Definition: DenseMatrix.h:102
Header file for the Or 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 HasSIMDAdd type trait.
ConstIterator & operator--()
Pre-decrement operator.
Definition: DMatDMatAddExpr.h:282
Header file for the DenseMatrix base class.
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: DMatDMatAddExpr.h:476
Header file for the Columns type trait.
OppositeType_< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: DMatDMatAddExpr.h:173
ConstIterator end(size_t i) const
Returns an iterator just past the last non-zero element of row i.
Definition: DMatDMatAddExpr.h:535
PointerType pointer
Pointer return type.
Definition: DMatDMatAddExpr.h:206
RightOperand rightOperand() const noexcept
Returns the right-hand side dense matrix operand.
Definition: DMatDMatAddExpr.h:575
const Element * ConstIterator
Iterator over constant elements.
Definition: CompressedMatrix.h:3087
friend const ConstIterator operator+(const ConstIterator &it, size_t inc)
Addition between a ConstIterator and an integral value.
Definition: DMatDMatAddExpr.h:403
typename T::ElementType ElementType_
Alias declaration for nested ElementType type definitions.The ElementType_ alias declaration provides...
Definition: Aliases.h:163
Header file for all SIMD functionality.
Base class for all matrix/matrix addition expression templates.The MatMatAddExpr class serves as a ta...
Definition: MatMatAddExpr.h:66
Header file for the IsOperation type trait class.
CompositeType_< MT1 > CT1
Composite type of the left-hand side dense matrix expression.
Definition: DMatDMatAddExpr.h:116
Header file for the IsLower type trait.
bool operator<(const ConstIterator &rhs) const
Less-than comparison between two ConstIterator objects.
Definition: DMatDMatAddExpr.h:347
BLAZE_ALWAYS_INLINE auto load(size_t i, size_t j) const noexcept
Access to the SIMD elements of the matrix.
Definition: DMatDMatAddExpr.h:509
Header file for the IsAligned type trait.
Constraints on the storage order of matrix types.
ElementType_< MT2 > ET2
Element type of the right-hand side dense matrix expression.
Definition: DMatDMatAddExpr.h:119
AddExprTrait_< RN1, RN2 > ExprReturnType
Expression return type for the subscript operator.
Definition: DMatDMatAddExpr.h:132
Compile time check for symmetric matrices.This type trait tests whether or not the given template par...
Definition: IsSymmetric.h:85
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: DMatDMatAddExpr.h:587
ElementType ValueType
Type of the underlying elements.
Definition: DMatDMatAddExpr.h:198
Header file for the exception macros of the math module.
Compile time check for strictly upper triangular matrices.This type trait tests whether or not the gi...
Definition: IsStrictlyUpper.h:86
#define BLAZE_CONSTRAINT_MUST_FORM_VALID_MATMATADDEXPR(T1, T2)
Constraint on the data type.In case the given data types T1 and T2 do not form a valid matrix/matrix ...
Definition: MatMatAddExpr.h:108
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: DMatDMatAddExpr.h:491
Constraint on the data type.
Header file for all forward declarations for expression class templates.
RightOperand rhs_
Right-hand side dense matrix of the addition expression.
Definition: DMatDMatAddExpr.h:629
Header file for the EnableIf class template.
Header file for the IsStrictlyLower type trait.
auto load() const noexcept
Access to the SIMD elements of the matrix.
Definition: DMatDMatAddExpr.h:314
Header file for the IsPadded type trait.
bool isAligned() const noexcept
Returns whether the operands of the expression are properly aligned in memory.
Definition: DMatDMatAddExpr.h:610
Compile time check for lower unitriangular matrices.This type trait tests whether or not the given te...
Definition: IsUniLower.h:86
AddTrait_< RT1, RT2 > ResultType
Result type for expression template evaluations.
Definition: DMatDMatAddExpr.h:172
Header file for run time assertion macros.
Header file for the addition trait.
ReferenceType reference
Reference return type.
Definition: DMatDMatAddExpr.h:207
typename If< T1, T2, T3 >::Type If_
Auxiliary alias declaration for the If class template.The If_ alias declaration provides a convenient...
Definition: If.h:154
Constraint on the data type.
SIMD characteristics of data types.The SIMDTrait class template provides the SIMD characteristics of ...
Definition: SIMDTrait.h:296
#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
ReturnType_< MT2 > RN2
Return type of the right-hand side dense matrix expression.
Definition: DMatDMatAddExpr.h:115
ResultType_< MT1 > RT1
Result type of the left-hand side dense matrix expression.
Definition: DMatDMatAddExpr.h:112
Compile time check for Hermitian matrices.This type trait tests whether or not the given template par...
Definition: IsHermitian.h:85
decltype(auto) serial(const DenseMatrix< MT, SO > &dm)
Forces the serial evaluation of the given dense matrix expression dm.
Definition: DMatSerialExpr.h:819
#define BLAZE_CONSTRAINT_MUST_NOT_REQUIRE_EVALUATION(T)
Constraint on the data type.In case the given data type T requires an intermediate evaluation within ...
Definition: RequiresEvaluation.h:81
Header file for the MatMatAddExpr base class.
const ConstIterator operator++(int)
Post-increment operator.
Definition: DMatDMatAddExpr.h:272
typename EnableIf< Condition, T >::Type EnableIf_
Auxiliary alias declaration for the EnableIf class template.The EnableIf_ alias declaration provides ...
Definition: EnableIf.h:224
typename T::OppositeType OppositeType_
Alias declaration for nested OppositeType type definitions.The OppositeType_ alias declaration provid...
Definition: Aliases.h:263
#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
friend const ConstIterator operator+(size_t inc, const ConstIterator &it)
Addition between an integral value and a ConstIterator.
Definition: DMatDMatAddExpr.h:415
bool operator>=(const ConstIterator &rhs) const
Greater-than comparison between two ConstIterator objects.
Definition: DMatDMatAddExpr.h:380
Compile time check for strictly lower triangular matrices.This type trait tests whether or not the gi...
Definition: IsStrictlyLower.h:86
const Type & ReturnType
Return type for expression template evaluations.
Definition: CompressedMatrix.h:3082
typename T::ConstIterator ConstIterator_
Alias declaration for nested ConstIterator type definitions.The ConstIterator_ alias declaration prov...
Definition: Aliases.h:103
bool canSMPAssign() const noexcept
Returns whether the expression can be used in SMP assignments.
Definition: DMatDMatAddExpr.h:620
bool operator<=(const ConstIterator &rhs) const
Less-than comparison between two ConstIterator objects.
Definition: DMatDMatAddExpr.h:369
std::random_access_iterator_tag IteratorCategory
The iterator category.
Definition: DMatDMatAddExpr.h:197
If_< IsExpression< MT2 >, const MT2, const MT2 &> RightOperand
Composite type of the right-hand side dense matrix expression.
Definition: DMatDMatAddExpr.h:187
LeftIteratorType left_
Iterator to the current left-hand side element.
Definition: DMatDMatAddExpr.h:434
IteratorCategory iterator_category
The iterator category.
Definition: DMatDMatAddExpr.h:204
Base class for all compute expression templates.The Computation class serves as a tag for all computa...
Definition: Computation.h:66
ElementType * PointerType
Pointer return type.
Definition: DMatDMatAddExpr.h:199
LeftOperand lhs_
Left-hand side dense matrix of the addition expression.
Definition: DMatDMatAddExpr.h:628
Header file for the IntegralConstant class template.
Compile time evaluation of the number of columns of a matrix.The Columns type trait evaluates the num...
Definition: Columns.h:75
Compile time evaluation of the number of rows of a matrix.The Rows type trait evaluates the number of...
Definition: Rows.h:75
friend const ConstIterator operator-(const ConstIterator &it, size_t dec)
Subtraction between a ConstIterator and an integral value.
Definition: DMatDMatAddExpr.h:427
bool operator!=(const ConstIterator &rhs) const
Inequality comparison between two ConstIterator objects.
Definition: DMatDMatAddExpr.h:336
typename T::TransposeType TransposeType_
Alias declaration for nested TransposeType type definitions.The TransposeType_ alias declaration prov...
Definition: Aliases.h:423
Header file for the IsUpper type trait.
Header file for the IsHermitian type trait.
System settings for the inline keywords.
Header file for the thresholds for matrix/vector and matrix/matrix multiplications.
typename AddTrait< T1, T2 >::Type AddTrait_
Auxiliary alias declaration for the AddTrait class template.The AddTrait_ alias declaration provides ...
Definition: AddTrait.h:250
#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_< MT2 > RT2
Result type of the right-hand side dense matrix expression.
Definition: DMatDMatAddExpr.h:113
Compile time check whether the given type is an expression template.This type trait class tests wheth...
Definition: IsExpression.h:95
Header file for the IsExpression type trait class.
Header file for the function trace functionality.