DMatTDMatAddExpr.h
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1 //=================================================================================================
33 //=================================================================================================
34 
35 #ifndef _BLAZE_MATH_EXPRESSIONS_DMATTDMATADDEXPR_H_
36 #define _BLAZE_MATH_EXPRESSIONS_DMATTDMATADDEXPR_H_
37 
38 
39 //*************************************************************************************************
40 // Includes
41 //*************************************************************************************************
42 
43 #include <blaze/math/Aliases.h>
49 #include <blaze/math/Exception.h>
74 #include <blaze/system/Blocking.h>
76 #include <blaze/util/Assert.h>
78 #include <blaze/util/DisableIf.h>
79 #include <blaze/util/EnableIf.h>
82 #include <blaze/util/mpl/And.h>
83 #include <blaze/util/mpl/If.h>
84 #include <blaze/util/mpl/Max.h>
85 #include <blaze/util/mpl/Not.h>
86 #include <blaze/util/mpl/Or.h>
87 #include <blaze/util/Types.h>
88 
89 
90 namespace blaze {
91 
92 //=================================================================================================
93 //
94 // CLASS DMATTDMATADDEXPR
95 //
96 //=================================================================================================
97 
98 //*************************************************************************************************
105 template< typename MT1 // Type of the left-hand side dense matrix
106  , typename MT2 > // Type of the right-hand side dense matrix
107 class DMatTDMatAddExpr : public DenseMatrix< DMatTDMatAddExpr<MT1,MT2>, false >
108  , private MatMatAddExpr
109  , private Computation
110 {
111  private:
112  //**Type definitions****************************************************************************
119  //**********************************************************************************************
120 
121  //**Return type evaluation**********************************************************************
123 
128  enum : bool { returnExpr = !IsTemporary<RN1>::value && !IsTemporary<RN2>::value };
129 
132  //**********************************************************************************************
133 
134  //**Serial evaluation strategy******************************************************************
136 
142  enum : bool { useAssign = RequiresEvaluation<MT1>::value || RequiresEvaluation<MT2>::value || !returnExpr };
143 
145  template< typename MT >
147  struct UseAssign {
148  enum : bool { value = useAssign };
149  };
151  //**********************************************************************************************
152 
153  //**Parallel evaluation strategy****************************************************************
155 
161  template< typename MT >
162  struct UseSMPAssign {
163  enum : bool { value = ( !MT1::smpAssignable || !MT2::smpAssignable ) && useAssign };
164  };
166  //**********************************************************************************************
167 
168  public:
169  //**Type definitions****************************************************************************
175 
178 
180  typedef const ResultType CompositeType;
181 
183  typedef If_< IsExpression<MT1>, const MT1, const MT1& > LeftOperand;
184 
186  typedef If_< IsExpression<MT2>, const MT2, const MT2& > RightOperand;
187  //**********************************************************************************************
188 
189  //**Compilation flags***************************************************************************
191  enum : bool { simdEnabled = false };
192 
194  enum : bool { smpAssignable = MT1::smpAssignable && MT2::smpAssignable };
195  //**********************************************************************************************
196 
197  //**Constructor*********************************************************************************
203  explicit inline DMatTDMatAddExpr( const MT1& lhs, const MT2& rhs ) noexcept
204  : lhs_( lhs ) // Left-hand side dense matrix of the addition expression
205  , rhs_( rhs ) // Right-hand side dense matrix of the addition expression
206  {
207  BLAZE_INTERNAL_ASSERT( lhs.rows() == rhs.rows() , "Invalid number of rows" );
208  BLAZE_INTERNAL_ASSERT( lhs.columns() == rhs.columns(), "Invalid number of columns" );
209  }
210  //**********************************************************************************************
211 
212  //**Access operator*****************************************************************************
219  inline ReturnType operator()( size_t i, size_t j ) const {
220  BLAZE_INTERNAL_ASSERT( i < lhs_.rows() , "Invalid row access index" );
221  BLAZE_INTERNAL_ASSERT( j < lhs_.columns(), "Invalid column access index" );
222  return lhs_(i,j) + rhs_(i,j);
223  }
224  //**********************************************************************************************
225 
226  //**At function*********************************************************************************
234  inline ReturnType at( size_t i, size_t j ) const {
235  if( i >= lhs_.rows() ) {
236  BLAZE_THROW_OUT_OF_RANGE( "Invalid row access index" );
237  }
238  if( j >= lhs_.columns() ) {
239  BLAZE_THROW_OUT_OF_RANGE( "Invalid column access index" );
240  }
241  return (*this)(i,j);
242  }
243  //**********************************************************************************************
244 
245  //**Rows function*******************************************************************************
250  inline size_t rows() const noexcept {
251  return lhs_.rows();
252  }
253  //**********************************************************************************************
254 
255  //**Columns function****************************************************************************
260  inline size_t columns() const noexcept {
261  return lhs_.columns();
262  }
263  //**********************************************************************************************
264 
265  //**Left operand access*************************************************************************
270  inline LeftOperand leftOperand() const noexcept {
271  return lhs_;
272  }
273  //**********************************************************************************************
274 
275  //**Right operand access************************************************************************
280  inline RightOperand rightOperand() const noexcept {
281  return rhs_;
282  }
283  //**********************************************************************************************
284 
285  //**********************************************************************************************
291  template< typename T >
292  inline bool canAlias( const T* alias ) const noexcept {
293  return ( IsExpression<MT1>::value && ( RequiresEvaluation<MT1>::value ? lhs_.isAliased( alias ) : lhs_.canAlias( alias ) ) ) ||
294  ( IsExpression<MT2>::value && ( RequiresEvaluation<MT2>::value ? rhs_.isAliased( alias ) : rhs_.canAlias( alias ) ) );
295  }
296  //**********************************************************************************************
297 
298  //**********************************************************************************************
304  template< typename T >
305  inline bool isAliased( const T* alias ) const noexcept {
306  return ( lhs_.isAliased( alias ) || rhs_.isAliased( alias ) );
307  }
308  //**********************************************************************************************
309 
310  //**********************************************************************************************
315  inline bool isAligned() const noexcept {
316  return lhs_.isAligned() && rhs_.isAligned();
317  }
318  //**********************************************************************************************
319 
320  //**********************************************************************************************
325  inline bool canSMPAssign() const noexcept {
326  return lhs_.canSMPAssign() || rhs_.canSMPAssign() ||
327  ( rows() * columns() >= SMP_DMATTDMATADD_THRESHOLD );
328  }
329  //**********************************************************************************************
330 
331  private:
332  //**Member variables****************************************************************************
333  LeftOperand lhs_;
334  RightOperand rhs_;
335  //**********************************************************************************************
336 
337  //**Assignment to dense matrices****************************************************************
351  template< typename MT // Type of the target dense matrix
352  , bool SO2 > // Storage order of the target dense matrix
353  friend inline DisableIf_< UseAssign<MT> >
354  assign( DenseMatrix<MT,SO2>& lhs, const DMatTDMatAddExpr& rhs )
355  {
357 
358  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
359  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
360 
361  constexpr size_t block( BLOCK_SIZE );
362 
363  const size_t m( rhs.rows() );
364  const size_t n( rhs.columns() );
365 
366  for( size_t ii=0UL; ii<m; ii+=block ) {
367  const size_t iend( ( m < ii+block )?( m ):( ii+block ) );
368  for( size_t jj=0UL; jj<n; jj+=block ) {
369  const size_t jend( ( n < jj+block )?( n ):( jj+block ) );
370  for( size_t i=ii; i<iend; ++i ) {
371  for( size_t j=jj; j<jend; ++j ) {
372  (~lhs)(i,j) = rhs.lhs_(i,j) + rhs.rhs_(i,j);
373  }
374  }
375  }
376  }
377  }
379  //**********************************************************************************************
380 
381  //**Assignment to dense matrices****************************************************************
395  template< typename MT // Type of the target dense matrix
396  , bool SO2 > // Storage order of the target dense matrix
397  friend inline EnableIf_< UseAssign<MT> >
398  assign( DenseMatrix<MT,SO2>& lhs, const DMatTDMatAddExpr& rhs )
399  {
401 
402  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
403  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
404 
405  if( !IsExpression<MT1>::value && isSame( ~lhs, rhs.lhs_ ) ) {
406  addAssign( ~lhs, rhs.rhs_ );
407  }
408  else if( !IsExpression<MT2>::value && isSame( ~lhs, rhs.rhs_ ) ) {
409  addAssign( ~lhs, rhs.lhs_ );
410  }
411  else {
412  assign ( ~lhs, rhs.lhs_ );
413  addAssign( ~lhs, rhs.rhs_ );
414  }
415  }
417  //**********************************************************************************************
418 
419  //**Assignment to sparse matrices***************************************************************
431  template< typename MT // Type of the target sparse matrix
432  , bool SO2 > // Storage order of the target sparse matrix
433  friend inline void assign( SparseMatrix<MT,SO2>& lhs, const DMatTDMatAddExpr& rhs )
434  {
436 
438 
445 
446  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
447  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
448 
449  const TmpType tmp( serial( rhs ) );
450  assign( ~lhs, tmp );
451  }
453  //**********************************************************************************************
454 
455  //**Addition assignment to dense matrices*******************************************************
469  template< typename MT // Type of the target dense matrix
470  , bool SO2 > // Storage order of the target dense matrix
471  friend inline DisableIf_< UseAssign<MT> >
472  addAssign( DenseMatrix<MT,SO2>& lhs, const DMatTDMatAddExpr& rhs )
473  {
475 
476  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
477  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
478 
479  constexpr size_t block( BLOCK_SIZE );
480 
481  const size_t m( rhs.rows() );
482  const size_t n( rhs.columns() );
483 
484  for( size_t ii=0UL; ii<m; ii+=block ) {
485  const size_t iend( ( m < ii+block )?( m ):( ii+block ) );
486  for( size_t jj=0UL; jj<n; jj+=block ) {
487  const size_t jend( ( n < jj+block )?( n ):( jj+block ) );
488  for( size_t i=ii; i<iend; ++i ) {
489  for( size_t j=jj; j<jend; ++j ) {
490  (~lhs)(i,j) += rhs.lhs_(i,j) + rhs.rhs_(i,j);
491  }
492  }
493  }
494  }
495  }
497  //**********************************************************************************************
498 
499  //**Addition assignment to dense matrices*******************************************************
513  template< typename MT // Type of the target dense matrix
514  , bool SO2 > // Storage order of the target dense matrix
515  friend inline EnableIf_< UseAssign<MT> >
516  addAssign( DenseMatrix<MT,SO2>& lhs, const DMatTDMatAddExpr& rhs )
517  {
519 
520  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
521  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
522 
523  addAssign( ~lhs, rhs.lhs_ );
524  addAssign( ~lhs, rhs.rhs_ );
525  }
527  //**********************************************************************************************
528 
529  //**Addition assignment to sparse matrices******************************************************
530  // No special implementation for the addition assignment to sparse matrices.
531  //**********************************************************************************************
532 
533  //**Subtraction assignment to dense matrices****************************************************
547  template< typename MT // Type of the target dense matrix
548  , bool SO2 > // Storage order of the target dense matrix
549  friend inline DisableIf_< UseAssign<MT> >
550  subAssign( DenseMatrix<MT,SO2>& lhs, const DMatTDMatAddExpr& rhs )
551  {
553 
554  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
555  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
556 
557  constexpr size_t block( BLOCK_SIZE );
558 
559  const size_t m( rhs.rows() );
560  const size_t n( rhs.columns() );
561 
562  for( size_t ii=0UL; ii<m; ii+=block ) {
563  const size_t iend( ( m < ii+block )?( m ):( ii+block ) );
564  for( size_t jj=0UL; jj<n; jj+=block ) {
565  const size_t jend( ( n < jj+block )?( n ):( jj+block ) );
566  for( size_t i=ii; i<iend; ++i ) {
567  for( size_t j=jj; j<jend; ++j ) {
568  (~lhs)(i,j) -= rhs.lhs_(i,j) + rhs.rhs_(i,j);
569  }
570  }
571  }
572  }
573  }
575  //**********************************************************************************************
576 
577  //**Subtraction assignment to dense matrices****************************************************
591  template< typename MT // Type of the target dense matrix
592  , bool SO2 > // Storage order of the target dense matrix
593  friend inline EnableIf_< UseAssign<MT> >
594  subAssign( DenseMatrix<MT,SO2>& lhs, const DMatTDMatAddExpr& rhs )
595  {
597 
598  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
599  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
600 
601  subAssign( ~lhs, rhs.lhs_ );
602  subAssign( ~lhs, rhs.rhs_ );
603  }
605  //**********************************************************************************************
606 
607  //**Subtraction assignment to sparse matrices***************************************************
608  // No special implementation for the subtraction assignment to sparse matrices.
609  //**********************************************************************************************
610 
611  //**Multiplication assignment to dense matrices*************************************************
612  // No special implementation for the multiplication assignment to dense matrices.
613  //**********************************************************************************************
614 
615  //**Multiplication assignment to sparse matrices************************************************
616  // No special implementation for the multiplication assignment to sparse matrices.
617  //**********************************************************************************************
618 
619  //**SMP assignment to dense matrices************************************************************
633  template< typename MT // Type of the target dense matrix
634  , bool SO2 > // Storage order of the target dense matrix
635  friend inline EnableIf_< UseSMPAssign<MT> >
637  {
639 
640  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
641  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
642 
643  if( !IsExpression<MT1>::value && isSame( ~lhs, rhs.lhs_ ) ) {
644  smpAddAssign( ~lhs, rhs.rhs_ );
645  }
646  else if( !IsExpression<MT2>::value && isSame( ~lhs, rhs.rhs_ ) ) {
647  smpAddAssign( ~lhs, rhs.lhs_ );
648  }
649  else {
650  smpAssign ( ~lhs, rhs.lhs_ );
651  smpAddAssign( ~lhs, rhs.rhs_ );
652  }
653  }
655  //**********************************************************************************************
656 
657  //**SMP assignment to sparse matrices***********************************************************
671  template< typename MT // Type of the target sparse matrix
672  , bool SO2 > // Storage order of the target sparse matrix
673  friend inline EnableIf_< UseSMPAssign<MT> >
675  {
677 
679 
686 
687  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
688  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
689 
690  const TmpType tmp( rhs );
691  smpAssign( ~lhs, tmp );
692  }
694  //**********************************************************************************************
695 
696  //**SMP 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 EnableIf_< UseSMPAssign<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  smpAddAssign( ~lhs, rhs.lhs_ );
722  smpAddAssign( ~lhs, rhs.rhs_ );
723  }
725  //**********************************************************************************************
726 
727  //**SMP addition assignment to sparse matrices**************************************************
728  // No special implementation for the SMP addition assignment to sparse matrices.
729  //**********************************************************************************************
730 
731  //**SMP subtraction assignment to dense matrices************************************************
746  template< typename MT // Type of the target dense matrix
747  , bool SO2 > // Storage order of the target dense matrix
748  friend inline EnableIf_< UseSMPAssign<MT> >
750  {
752 
753  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
754  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
755 
756  smpSubAssign( ~lhs, rhs.lhs_ );
757  smpSubAssign( ~lhs, rhs.rhs_ );
758  }
760  //**********************************************************************************************
761 
762  //**SMP subtraction assignment to sparse matrices***********************************************
763  // No special implementation for the SMP subtraction assignment to sparse matrices.
764  //**********************************************************************************************
765 
766  //**SMP multiplication assignment to dense matrices*********************************************
767  // No special implementation for the SMP multiplication assignment to dense matrices.
768  //**********************************************************************************************
769 
770  //**SMP multiplication assignment to sparse matrices********************************************
771  // No special implementation for the SMP multiplication assignment to sparse matrices.
772  //**********************************************************************************************
773 
774  //**Compile time checks*************************************************************************
782  //**********************************************************************************************
783 };
784 //*************************************************************************************************
785 
786 
787 
788 
789 //=================================================================================================
790 //
791 // GLOBAL BINARY ARITHMETIC OPERATORS
792 //
793 //=================================================================================================
794 
795 //*************************************************************************************************
824 template< typename T1 // Type of the left-hand side dense matrix
825  , typename T2 > // Type of the right-hand side dense matrix
827  , const DMatTDMatAddExpr<T1,T2> >
829 {
831 
832  if( (~lhs).rows() != (~rhs).rows() || (~lhs).columns() != (~rhs).columns() ) {
833  BLAZE_THROW_INVALID_ARGUMENT( "Matrix sizes do not match" );
834  }
835 
836  return DMatTDMatAddExpr<T1,T2>( ~lhs, ~rhs );
837 }
838 //*************************************************************************************************
839 
840 
841 //*************************************************************************************************
870 template< typename T1 // Type of the left-hand side dense matrix
871  , typename T2 > // Type of the right-hand side dense matrix
872 inline EnableIf_< And< Not< IsSymmetric<T1> >, Not< IsSymmetric<T2> > >
873  , const DMatTDMatAddExpr<T2,T1> >
875 {
877 
878  if( (~lhs).rows() != (~rhs).rows() || (~lhs).columns() != (~rhs).columns() ) {
879  BLAZE_THROW_INVALID_ARGUMENT( "Matrix sizes do not match" );
880  }
881 
882  return DMatTDMatAddExpr<T2,T1>( ~rhs, ~lhs );
883 }
884 //*************************************************************************************************
885 
886 
887 
888 
889 //=================================================================================================
890 //
891 // GLOBAL RESTRUCTURING BINARY ARITHMETIC OPERATORS
892 //
893 //=================================================================================================
894 
895 //*************************************************************************************************
909 template< typename T1 // Type of the left-hand side dense matrix
910  , typename T2 > // Type of the right-hand side dense matrix
911 inline EnableIf_< And< IsSymmetric<T1>, Not< IsSymmetric<T2> > >, const AddExprTrait_<T1,T2> >
912  operator+( const DenseMatrix<T1,false>& lhs, const DenseMatrix<T2,true>& rhs )
913 {
915 
916  if( (~lhs).rows() != (~rhs).rows() || (~lhs).columns() != (~rhs).columns() ) {
917  BLAZE_THROW_INVALID_ARGUMENT( "Matrix sizes do not match" );
918  }
919 
920  return trans( ~lhs ) + ~rhs;
921 }
923 //*************************************************************************************************
924 
925 
926 //*************************************************************************************************
940 template< typename T1 // Type of the left-hand side dense matrix
941  , typename T2 > // Type of the right-hand side dense matrix
943  operator+( const DenseMatrix<T1,false>& lhs, const DenseMatrix<T2,true>& rhs )
944 {
946 
947  if( (~lhs).rows() != (~rhs).rows() || (~lhs).columns() != (~rhs).columns() ) {
948  BLAZE_THROW_INVALID_ARGUMENT( "Matrix sizes do not match" );
949  }
950 
951  return (~lhs) + trans( ~rhs );
952 }
954 //*************************************************************************************************
955 
956 
957 //*************************************************************************************************
971 template< typename T1 // Type of the left-hand side dense matrix
972  , typename T2 > // Type of the right-hand side dense matrix
973 inline EnableIf_< And< Not< IsSymmetric<T1> >, IsSymmetric<T2> >, const AddExprTrait_<T2,T1> >
974  operator+( const DenseMatrix<T1,true>& lhs, const DenseMatrix<T2,false>& rhs )
975 {
977 
978  if( (~lhs).rows() != (~rhs).rows() || (~lhs).columns() != (~rhs).columns() ) {
979  BLAZE_THROW_INVALID_ARGUMENT( "Matrix sizes do not match" );
980  }
981 
982  return trans( ~rhs ) + (~lhs);
983 }
985 //*************************************************************************************************
986 
987 
988 //*************************************************************************************************
1002 template< typename T1 // Type of the left-hand side dense matrix
1003  , typename T2 > // Type of the right-hand side dense matrix
1005  operator+( const DenseMatrix<T1,true>& lhs, const DenseMatrix<T2,false>& rhs )
1006 {
1008 
1009  if( (~lhs).rows() != (~rhs).rows() || (~lhs).columns() != (~rhs).columns() ) {
1010  BLAZE_THROW_INVALID_ARGUMENT( "Matrix sizes do not match" );
1011  }
1012 
1013  return (~rhs) + trans( ~lhs );
1014 }
1016 //*************************************************************************************************
1017 
1018 
1019 
1020 
1021 //=================================================================================================
1022 //
1023 // ROWS SPECIALIZATIONS
1024 //
1025 //=================================================================================================
1026 
1027 //*************************************************************************************************
1029 template< typename MT1, typename MT2 >
1030 struct Rows< DMatTDMatAddExpr<MT1,MT2> >
1031  : public Max< Rows<MT1>, Rows<MT2> >
1032 {};
1034 //*************************************************************************************************
1035 
1036 
1037 
1038 
1039 //=================================================================================================
1040 //
1041 // COLUMNS SPECIALIZATIONS
1042 //
1043 //=================================================================================================
1044 
1045 //*************************************************************************************************
1047 template< typename MT1, typename MT2 >
1048 struct Columns< DMatTDMatAddExpr<MT1,MT2> >
1049  : public Max< Columns<MT1>, Columns<MT2> >
1050 {};
1052 //*************************************************************************************************
1053 
1054 
1055 
1056 
1057 //=================================================================================================
1058 //
1059 // ISALIGNED SPECIALIZATIONS
1060 //
1061 //=================================================================================================
1062 
1063 //*************************************************************************************************
1065 template< typename MT1, typename MT2 >
1066 struct IsAligned< DMatTDMatAddExpr<MT1,MT2> >
1067  : public BoolConstant< And< IsAligned<MT1>, IsAligned<MT2> >::value >
1068 {};
1070 //*************************************************************************************************
1071 
1072 
1073 
1074 
1075 //=================================================================================================
1076 //
1077 // ISSYMMETRIC SPECIALIZATIONS
1078 //
1079 //=================================================================================================
1080 
1081 //*************************************************************************************************
1083 template< typename MT1, typename MT2 >
1084 struct IsSymmetric< DMatTDMatAddExpr<MT1,MT2> >
1085  : public BoolConstant< IsSymmetric<MT1>::value && IsSymmetric<MT2>::value >
1086 {};
1088 //*************************************************************************************************
1089 
1090 
1091 
1092 
1093 //=================================================================================================
1094 //
1095 // ISHERMITIAN SPECIALIZATIONS
1096 //
1097 //=================================================================================================
1098 
1099 //*************************************************************************************************
1101 template< typename MT1, typename MT2 >
1102 struct IsHermitian< DMatTDMatAddExpr<MT1,MT2> >
1103  : public BoolConstant< IsHermitian<MT1>::value && IsHermitian<MT2>::value >
1104 {};
1106 //*************************************************************************************************
1107 
1108 
1109 
1110 
1111 //=================================================================================================
1112 //
1113 // ISLOWER SPECIALIZATIONS
1114 //
1115 //=================================================================================================
1116 
1117 //*************************************************************************************************
1119 template< typename MT1, typename MT2 >
1120 struct IsLower< DMatTDMatAddExpr<MT1,MT2> >
1121  : public BoolConstant< And< IsLower<MT1>, IsLower<MT2> >::value >
1122 {};
1124 //*************************************************************************************************
1125 
1126 
1127 
1128 
1129 //=================================================================================================
1130 //
1131 // ISUNILOWER SPECIALIZATIONS
1132 //
1133 //=================================================================================================
1134 
1135 //*************************************************************************************************
1137 template< typename MT1, typename MT2 >
1138 struct IsUniLower< DMatTDMatAddExpr<MT1,MT2> >
1139  : public BoolConstant< Or< And< IsUniLower<MT1>, IsStrictlyLower<MT2> >
1140  , And< IsUniLower<MT2>, IsStrictlyLower<MT1> > >::value >
1141 {};
1143 //*************************************************************************************************
1144 
1145 
1146 
1147 
1148 //=================================================================================================
1149 //
1150 // ISSTRICTLYLOWER SPECIALIZATIONS
1151 //
1152 //=================================================================================================
1153 
1154 //*************************************************************************************************
1156 template< typename MT1, typename MT2 >
1157 struct IsStrictlyLower< DMatTDMatAddExpr<MT1,MT2> >
1158  : public BoolConstant< And< IsStrictlyLower<MT1>, IsStrictlyLower<MT2> >::value >
1159 {};
1161 //*************************************************************************************************
1162 
1163 
1164 
1165 
1166 //=================================================================================================
1167 //
1168 // ISUPPER SPECIALIZATIONS
1169 //
1170 //=================================================================================================
1171 
1172 //*************************************************************************************************
1174 template< typename MT1, typename MT2 >
1175 struct IsUpper< DMatTDMatAddExpr<MT1,MT2> >
1176  : public BoolConstant< And< IsUpper<MT1>, IsUpper<MT2> >::value >
1177 {};
1179 //*************************************************************************************************
1180 
1181 
1182 
1183 
1184 //=================================================================================================
1185 //
1186 // ISUNIUPPER SPECIALIZATIONS
1187 //
1188 //=================================================================================================
1189 
1190 //*************************************************************************************************
1192 template< typename MT1, typename MT2 >
1193 struct IsUniUpper< DMatTDMatAddExpr<MT1,MT2> >
1194  : public BoolConstant< Or< And< IsUniUpper<MT1>, IsStrictlyUpper<MT2> >
1195  , And< IsUniUpper<MT2>, IsStrictlyUpper<MT1> > >::value >
1196 {};
1198 //*************************************************************************************************
1199 
1200 
1201 
1202 
1203 //=================================================================================================
1204 //
1205 // ISSTRICTLYUPPER SPECIALIZATIONS
1206 //
1207 //=================================================================================================
1208 
1209 //*************************************************************************************************
1211 template< typename MT1, typename MT2 >
1212 struct IsStrictlyUpper< DMatTDMatAddExpr<MT1,MT2> >
1213  : public BoolConstant< And< IsStrictlyUpper<MT1>, IsStrictlyUpper<MT2> >::value >
1214 {};
1216 //*************************************************************************************************
1217 
1218 
1219 
1220 
1221 //=================================================================================================
1222 //
1223 // EXPRESSION TRAIT SPECIALIZATIONS
1224 //
1225 //=================================================================================================
1226 
1227 //*************************************************************************************************
1229 template< typename MT1, typename MT2, bool AF >
1230 struct SubmatrixExprTrait< DMatTDMatAddExpr<MT1,MT2>, AF >
1231 {
1232  public:
1233  //**********************************************************************************************
1236  //**********************************************************************************************
1237 };
1239 //*************************************************************************************************
1240 
1241 
1242 //*************************************************************************************************
1244 template< typename MT1, typename MT2 >
1245 struct RowExprTrait< DMatTDMatAddExpr<MT1,MT2> >
1246 {
1247  public:
1248  //**********************************************************************************************
1251  //**********************************************************************************************
1252 };
1254 //*************************************************************************************************
1255 
1256 
1257 //*************************************************************************************************
1259 template< typename MT1, typename MT2 >
1260 struct ColumnExprTrait< DMatTDMatAddExpr<MT1,MT2> >
1261 {
1262  public:
1263  //**********************************************************************************************
1266  //**********************************************************************************************
1267 };
1269 //*************************************************************************************************
1270 
1271 } // namespace blaze
1272 
1273 #endif
ReturnType_< MT2 > RN2
Return type of the right-hand side dense matrix expression.
Definition: DMatTDMatAddExpr.h:116
typename SubmatrixExprTrait< MT, AF >::Type SubmatrixExprTrait_
Auxiliary alias declaration for the SubmatrixExprTrait type trait.The SubmatrixExprTrait_ alias decla...
Definition: SubmatrixExprTrait.h:134
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: DMatTDMatAddExpr.h:260
#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
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: DMatTDMatAddExpr.h:173
Header file for auxiliary alias declarations.
Header file for the Max class template.
Header file for kernel specific block sizes.
Compile time check whether the given type is a temporary vector or matrix type.This type trait class ...
Definition: IsTemporary.h:70
Header file for the Rows type trait.
DMatTDMatAddExpr(const MT1 &lhs, const MT2 &rhs) noexcept
Constructor for the DMatTDMatAddExpr class.
Definition: DMatTDMatAddExpr.h:203
Header file for the IsUniUpper type trait.
If_< IsExpression< MT2 >, const MT2, const MT2 &> RightOperand
Composite type of the right-hand side dense matrix expression.
Definition: DMatTDMatAddExpr.h:186
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:721
Header file for basic type definitions.
ElementType_< ResultType > ElementType
Resulting element type.
Definition: DMatTDMatAddExpr.h:174
EnableIf_< IsDenseMatrix< MT1 > > smpSubAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the SMP subtraction assignment of a matrix to dense matrix.
Definition: DenseMatrix.h:160
Header file for the serial shim.
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
Header file for the ColumnExprTrait class template.
RightOperand rightOperand() const noexcept
Returns the right-hand side transpose dense matrix operand.
Definition: DMatTDMatAddExpr.h:280
const DenseIterator< Type, AF > operator+(const DenseIterator< Type, AF > &it, ptrdiff_t inc) noexcept
Addition between a DenseIterator and an integral value.
Definition: DenseIterator.h:699
typename DisableIf< Condition, T >::Type DisableIf_
Auxiliary type for the DisableIf class template.The DisableIf_ alias declaration provides a convenien...
Definition: DisableIf.h:223
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: DMatTDMatAddExpr.h:234
Header file for the And class template.
Compile time check for lower triangular matrices.This type trait tests whether or not the given templ...
Definition: IsLower.h:88
Header file for the AddExprTrait class template.
const DMatSerialExpr< MT, SO > serial(const DenseMatrix< MT, SO > &dm)
Forces the serial evaluation of the given dense matrix expression dm.
Definition: DMatSerialExpr.h:721
Header file for the Computation base class.
Compile time check for upper triangular matrices.This type trait tests whether or not the given templ...
Definition: IsUpper.h:88
bool canSMPAssign() const noexcept
Returns whether the expression can be used in SMP assignments.
Definition: DMatTDMatAddExpr.h:325
Constraints on the storage order of matrix types.
Header file for the RequiresEvaluation type trait.
Header file for the IsUniLower type trait.
typename T::ResultType ResultType_
Alias declaration for nested ResultType type definitions.The ResultType_ alias declaration provides a...
Definition: Aliases.h:323
EnableIf_< IsDenseMatrix< MT1 > > smpAddAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the SMP addition assignment of a matrix to a dense matrix.
Definition: DenseMatrix.h:129
Base class for dense matrices.The DenseMatrix class is a base class for all dense matrix classes...
Definition: DenseMatrix.h:71
Base class for sparse matrices.The SparseMatrix class is a base class for all sparse matrix classes...
Definition: Forward.h:119
Constraint on the data type.
typename IfTrue< Condition, T1, T2 >::Type IfTrue_
Auxiliary alias declaration for the IfTrue class template.The IfTrue_ alias declaration provides a co...
Definition: If.h:109
typename T::ReturnType ReturnType_
Alias declaration for nested ReturnType type definitions.The ReturnType_ alias declaration provides a...
Definition: Aliases.h:343
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.
Compile time check to query the requirement to evaluate an expression.Via this type trait it is possi...
Definition: RequiresEvaluation.h:72
typename T::CompositeType CompositeType_
Alias declaration for nested CompositeType type definitions.The CompositeType_ alias declaration prov...
Definition: Aliases.h:83
Compile time check for upper unitriangular matrices.This type trait tests whether or not the given te...
Definition: IsUniUpper.h:86
LeftOperand leftOperand() const noexcept
Returns the left-hand side dense matrix operand.
Definition: DMatTDMatAddExpr.h:270
Header file for the DisableIf class template.
typename RowExprTrait< MT >::Type RowExprTrait_
Auxiliary alias declaration for the RowExprTrait type trait.The RowExprTrait_ alias declaration provi...
Definition: RowExprTrait.h:134
Header file for the IsTemporary type trait class.
Header file for the IsStrictlyUpper type trait.
Header file for the IsSymmetric type trait.
const ResultType CompositeType
Data type for composite expression templates.
Definition: DMatTDMatAddExpr.h:180
typename AddExprTrait< T1, T2 >::Type AddExprTrait_
Auxiliary alias declaration for the AddExprTrait class template.The AddExprTrait_ alias declaration p...
Definition: AddExprTrait.h:219
Namespace of the Blaze C++ math library.
Definition: Blaze.h:57
Header file for the If class template.
#define BLAZE_CONSTRAINT_MUST_BE_COLUMN_MAJOR_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is not a column-major dense or sparse matri...
Definition: ColumnMajorMatrix.h:61
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: DMatTDMatAddExpr.h:305
If_< IsExpression< MT1 >, const MT1, const MT1 &> LeftOperand
Composite type of the left-hand side dense matrix expression.
Definition: DMatTDMatAddExpr.h:183
EnableIf_< IsDenseMatrix< MT1 > > smpAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the SMP assignment of a matrix to a dense matrix.
Definition: DenseMatrix.h:98
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 DenseMatrix base class.
Header file for the Columns type trait.
ResultType_< MT2 > RT2
Result type of the right-hand side dense matrix expression.
Definition: DMatTDMatAddExpr.h:114
Header file for the Not class template.
typename T::ElementType ElementType_
Alias declaration for nested ElementType type definitions.The ElementType_ alias declaration provides...
Definition: Aliases.h:163
Base class for all matrix/matrix addition expression templates.The MatMatAddExpr class serves as a ta...
Definition: MatMatAddExpr.h:65
Evaluation of the expression type type of a submatrix operation.Via this type trait it is possible to...
Definition: SubmatrixExprTrait.h:80
AddTrait_< RT1, RT2 > ResultType
Result type for expression template evaluations.
Definition: DMatTDMatAddExpr.h:171
Header file for the IsLower type trait.
Header file for the IsAligned type trait.
typename ColumnExprTrait< MT >::Type ColumnExprTrait_
Auxiliary alias declaration for the ColumnExprTrait type trait.The ColumnExprTrait_ alias declaration...
Definition: ColumnExprTrait.h:133
#define BLAZE_CONSTRAINT_MUST_BE_REFERENCE_TYPE(T)
Constraint on the data type.In case the given data type T is not a reference type, a compilation error is created.
Definition: Reference.h:60
OppositeType_< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: DMatTDMatAddExpr.h:172
Constraints on the storage order of matrix types.
Compile time check for symmetric matrices.This type trait tests whether or not the given template par...
Definition: IsSymmetric.h:85
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: DMatTDMatAddExpr.h:219
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
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: DMatTDMatAddExpr.h:292
Evaluation of the expression type type of a row operation.Via this type trait it is possible to evalu...
Definition: RowExprTrait.h:79
#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:109
AddExprTrait_< RN1, RN2 > ExprReturnType
Expression return type for the subscript operator.
Definition: DMatTDMatAddExpr.h:131
Header file for the RowExprTrait class template.
Header file for all forward declarations for expression class templates.
Header file for the EnableIf class template.
Header file for the IsStrictlyLower type trait.
DMatTDMatAddExpr< MT1, MT2 > This
Type of this DMatTDMatAdd instance.
Definition: DMatTDMatAddExpr.h:170
Compile time check for lower unitriangular matrices.This type trait tests whether or not the given te...
Definition: IsUniLower.h:86
Header file for the SubmatrixExprTrait class template.
#define BLAZE_CONSTRAINT_MUST_BE_ROW_MAJOR_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is not a row-major dense or sparse matrix t...
Definition: RowMajorMatrix.h:61
LeftOperand lhs_
Left-hand side dense matrix of the addition expression.
Definition: DMatTDMatAddExpr.h:333
Header file for run time assertion macros.
Compile time value evaluation.The Max class template selects the larger of the two given template arg...
Definition: Max.h:72
Header file for the addition trait.
RightOperand rhs_
Right-hand side dense matrix of the addition expression.
Definition: DMatTDMatAddExpr.h:334
typename If< T1, T2, T3 >::Type If_
Auxiliary alias declaration for the If class template.The If_ alias declaration provides a convenient...
Definition: If.h:160
Constraint on the data type.
#define BLAZE_FUNCTION_TRACE
Function trace macro.This macro can be used to reliably trace function calls. In case function tracin...
Definition: FunctionTrace.h:93
Compile time type negation.The Not class template negates the given compile time condition. In case the given condition would evaluate to true, the nested member enumeration is set to false and vice versa:
Definition: Not.h:70
Compile time check for Hermitian matrices.This type trait tests whether or not the given template par...
Definition: IsHermitian.h:85
ReturnType_< MT1 > RN1
Return type of the left-hand side dense matrix expression.
Definition: DMatTDMatAddExpr.h:115
Constraints on the storage order of matrix types.
Header file for the MatMatAddExpr base class.
typename EnableIf< Condition, T >::Type EnableIf_
Auxiliary alias declaration for the EnableIf class template.The EnableIf_ alias declaration provides ...
Definition: EnableIf.h:223
typename T::OppositeType OppositeType_
Alias declaration for nested OppositeType type definitions.The OppositeType_ alias declaration provid...
Definition: Aliases.h:243
#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
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: DMatTDMatAddExpr.h:250
CompositeType_< MT1 > CT1
Composite type of the left-hand side dense matrix expression.
Definition: DMatTDMatAddExpr.h:117
ResultType_< MT1 > RT1
Result type of the left-hand side dense matrix expression.
Definition: DMatTDMatAddExpr.h:113
Compile time check for strictly lower triangular matrices.This type trait tests whether or not the gi...
Definition: IsStrictlyLower.h:86
const IfTrue_< returnExpr, ExprReturnType, ElementType > ReturnType
Return type for expression template evaluations.
Definition: DMatTDMatAddExpr.h:177
const DMatTransExpr< MT,!SO > trans(const DenseMatrix< MT, SO > &dm)
Calculation of the transpose of the given dense matrix.
Definition: DMatTransExpr.h:733
Base class for all compute expression templates.The Computation class serves as a tag for all computa...
Definition: Computation.h:59
bool isAligned() const noexcept
Returns whether the operands of the expression are properly aligned in memory.
Definition: DMatTDMatAddExpr.h:315
Header file for the IntegralConstant class template.
Compile time evaluation of the number of columns of a matrix.The Columns type trait evaluates the num...
Definition: Columns.h:76
Compile time evaluation of the number of rows of a matrix.The Rows type trait evaluates the number of...
Definition: Rows.h:76
CompositeType_< MT2 > CT2
Composite type of the right-hand side dense matrix expression.
Definition: DMatTDMatAddExpr.h:118
typename T::TransposeType TransposeType_
Alias declaration for nested TransposeType type definitions.The TransposeType_ alias declaration prov...
Definition: Aliases.h:403
Header file for the IsUpper type trait.
Header file for the IsHermitian type trait.
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:245
Evaluation of the expression type type of a column operation.Via this type trait it is possible to ev...
Definition: ColumnExprTrait.h:78
#define BLAZE_INTERNAL_ASSERT(expr, msg)
Run time assertion macro for internal checks.In case of an invalid run time expression, the program execution is terminated. The BLAZE_INTERNAL_ASSERT macro can be disabled by setting the BLAZE_USER_ASSERTION flag to zero or by defining NDEBUG during the compilation.
Definition: Assert.h:101
Compile time check whether the given type is an expression template.This type trait class tests wheth...
Definition: IsExpression.h:71
Header file for the IsExpression type trait class.
Header file for the function trace functionality.
Expression object for dense matrix-transpose dense matrix additions.The DMatTDMatAddExpr class repres...
Definition: DMatTDMatAddExpr.h:107