SMatSMatAddExpr.h
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1 //=================================================================================================
33 //=================================================================================================
34 
35 #ifndef _BLAZE_MATH_EXPRESSIONS_SMATSMATADDEXPR_H_
36 #define _BLAZE_MATH_EXPRESSIONS_SMATSMATADDEXPR_H_
37 
38 
39 //*************************************************************************************************
40 // Includes
41 //*************************************************************************************************
42 
43 #include <blaze/math/Aliases.h>
50 #include <blaze/math/Exception.h>
73 #include <blaze/util/Assert.h>
74 #include <blaze/util/DisableIf.h>
75 #include <blaze/util/EnableIf.h>
78 #include <blaze/util/mpl/And.h>
79 #include <blaze/util/mpl/If.h>
80 #include <blaze/util/mpl/Maximum.h>
81 #include <blaze/util/mpl/Or.h>
82 #include <blaze/util/Types.h>
84 
85 
86 namespace blaze {
87 
88 //=================================================================================================
89 //
90 // CLASS SMATSMATADDEXPR
91 //
92 //=================================================================================================
93 
94 //*************************************************************************************************
101 template< typename MT1 // Type of the left-hand side sparse matrix
102  , typename MT2 > // Type of the right-hand side sparse matrix
103 class SMatSMatAddExpr
104  : public MatMatAddExpr< SparseMatrix< SMatSMatAddExpr<MT1,MT2>, false > >
105  , private Computation
106 {
107  private:
108  //**Type definitions****************************************************************************
115  //**********************************************************************************************
116 
117  //**Return type evaluation**********************************************************************
119 
124  enum : bool { returnExpr = !IsTemporary<RN1>::value && !IsTemporary<RN2>::value };
125 
128  //**********************************************************************************************
129 
130  //**Serial evaluation strategy******************************************************************
132 
137  template< typename T1, typename T2, typename T3 >
138  struct UseSymmetricKernel {
140  enum : bool { value = IsSymmetric<T2>::value && IsSymmetric<T3>::value };
141  };
143  //**********************************************************************************************
144 
145  //**Parallel evaluation strategy****************************************************************
147 
152  template< typename MT >
153  struct UseSMPAssign {
154  enum : bool { value = MT::smpAssignable };
155  };
157  //**********************************************************************************************
158 
159  public:
160  //**Type definitions****************************************************************************
166 
169 
171  using CompositeType = const ResultType;
172 
174  using LeftOperand = If_< IsExpression<MT1>, const MT1, const MT1& >;
175 
177  using RightOperand = If_< IsExpression<MT2>, const MT2, const MT2& >;
178  //**********************************************************************************************
179 
180  //**Compilation flags***************************************************************************
182  enum : bool { smpAssignable = false };
183  //**********************************************************************************************
184 
185  //**Constructor*********************************************************************************
191  explicit inline SMatSMatAddExpr( const MT1& lhs, const MT2& rhs ) noexcept
192  : lhs_( lhs ) // Left-hand side sparse matrix of the addition expression
193  , rhs_( rhs ) // Right-hand side sparse matrix of the addition expression
194  {
195  BLAZE_INTERNAL_ASSERT( lhs.rows() == rhs.rows() , "Invalid number of rows" );
196  BLAZE_INTERNAL_ASSERT( lhs.columns() == rhs.columns(), "Invalid number of columns" );
197  }
198  //**********************************************************************************************
199 
200  //**Access operator*****************************************************************************
207  inline ReturnType operator()( size_t i, size_t j ) const {
208  BLAZE_INTERNAL_ASSERT( i < lhs_.rows() , "Invalid row access index" );
209  BLAZE_INTERNAL_ASSERT( j < lhs_.columns(), "Invalid column access index" );
210  return lhs_(i,j) + rhs_(i,j);
211  }
212  //**********************************************************************************************
213 
214  //**At function*********************************************************************************
222  inline ReturnType at( size_t i, size_t j ) const {
223  if( i >= lhs_.rows() ) {
224  BLAZE_THROW_OUT_OF_RANGE( "Invalid row access index" );
225  }
226  if( j >= lhs_.columns() ) {
227  BLAZE_THROW_OUT_OF_RANGE( "Invalid column access index" );
228  }
229  return (*this)(i,j);
230  }
231  //**********************************************************************************************
232 
233  //**Rows function*******************************************************************************
238  inline size_t rows() const noexcept {
239  return lhs_.rows();
240  }
241  //**********************************************************************************************
242 
243  //**Columns function****************************************************************************
248  inline size_t columns() const noexcept {
249  return lhs_.columns();
250  }
251  //**********************************************************************************************
252 
253  //**NonZeros function***************************************************************************
258  inline size_t nonZeros() const {
259  return lhs_.nonZeros() + rhs_.nonZeros();
260  }
261  //**********************************************************************************************
262 
263  //**NonZeros function***************************************************************************
269  inline size_t nonZeros( size_t i ) const {
270  return lhs_.nonZeros(i) + rhs_.nonZeros(i);
271  }
272  //**********************************************************************************************
273 
274  //**Left operand access*************************************************************************
279  inline LeftOperand leftOperand() const noexcept {
280  return lhs_;
281  }
282  //**********************************************************************************************
283 
284  //**Right operand access************************************************************************
289  inline RightOperand rightOperand() const noexcept {
290  return rhs_;
291  }
292  //**********************************************************************************************
293 
294  //**********************************************************************************************
300  template< typename T >
301  inline bool canAlias( const T* alias ) const noexcept {
302  return ( lhs_.canAlias( alias ) || rhs_.canAlias( alias ) );
303  }
304  //**********************************************************************************************
305 
306  //**********************************************************************************************
312  template< typename T >
313  inline bool isAliased( const T* alias ) const noexcept {
314  return ( lhs_.isAliased( alias ) || rhs_.isAliased( alias ) );
315  }
316  //**********************************************************************************************
317 
318  private:
319  //**Member variables****************************************************************************
322  //**********************************************************************************************
323 
324  //**Assignment to dense matrices****************************************************************
336  template< typename MT // Type of the target dense matrix
337  , bool SO > // Storage order of the target dense matrix
338  friend inline void assign( DenseMatrix<MT,SO>& lhs, const SMatSMatAddExpr& rhs )
339  {
341 
342  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
343  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
344 
345  using RightIterator = ConstIterator_< RemoveReference_<CT2> >;
346 
347  assign( ~lhs, rhs.lhs_ );
348 
349  if( !IsResizable< ElementType_<MT> >::value ) {
350  addAssign( ~lhs, rhs.rhs_ );
351  }
352  else
353  {
354  CT2 B( serial( rhs.rhs_ ) ); // Evaluation of the right-hand side sparse matrix operand
355 
356  BLAZE_INTERNAL_ASSERT( B.rows() == rhs.rhs_.rows() , "Invalid number of rows" );
357  BLAZE_INTERNAL_ASSERT( B.columns() == rhs.rhs_.columns(), "Invalid number of columns" );
358  BLAZE_INTERNAL_ASSERT( B.rows() == (~lhs).rows() , "Invalid number of rows" );
359  BLAZE_INTERNAL_ASSERT( B.columns() == (~lhs).columns() , "Invalid number of columns" );
360 
361  for( size_t i=0UL; i<(~lhs).rows(); ++i ) {
362  const RightIterator end( B.end(i) );
363  for( RightIterator element=B.begin(i); element!=end; ++element ) {
364  if( isDefault( (~lhs)(i,element->index()) ) )
365  (~lhs)(i,element->index()) = element->value();
366  else
367  (~lhs)(i,element->index()) += element->value();
368  }
369  }
370  }
371  }
373  //**********************************************************************************************
374 
375  //**Assignment to row-major sparse matrices*****************************************************
387  template< typename MT > // Type of the target sparse matrix
388  friend inline void assign( SparseMatrix<MT,false>& lhs, const SMatSMatAddExpr& rhs )
389  {
391 
392  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
393  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
394 
395  using LeftIterator = ConstIterator_< RemoveReference_<CT1> >;
396  using RightIterator = ConstIterator_< RemoveReference_<CT2> >;
397 
398  CT1 A( serial( rhs.lhs_ ) ); // Evaluation of the left-hand side sparse matrix operand
399  CT2 B( serial( rhs.rhs_ ) ); // Evaluation of the right-hand side sparse matrix operand
400 
401  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.lhs_.rows() , "Invalid number of rows" );
402  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.lhs_.columns(), "Invalid number of columns" );
403  BLAZE_INTERNAL_ASSERT( B.rows() == rhs.rhs_.rows() , "Invalid number of rows" );
404  BLAZE_INTERNAL_ASSERT( B.columns() == rhs.rhs_.columns(), "Invalid number of columns" );
405  BLAZE_INTERNAL_ASSERT( A.rows() == (~lhs).rows() , "Invalid number of rows" );
406  BLAZE_INTERNAL_ASSERT( A.columns() == (~lhs).columns() , "Invalid number of columns" );
407 
408  // Final memory allocation (based on the evaluated operands)
409  (~lhs).reserve( A.nonZeros() + B.nonZeros() );
410 
411  // Performing the matrix addition
412  for( size_t i=0UL; i<(~lhs).rows(); ++i )
413  {
414  const LeftIterator lend( A.end(i) );
415  const RightIterator rend( B.end(i) );
416 
417  LeftIterator l( A.begin(i) );
418  RightIterator r( B.begin(i) );
419 
420  while( l != lend && r != rend )
421  {
422  if( l->index() < r->index() ) {
423  (~lhs).append( i, l->index(), l->value() );
424  ++l;
425  }
426  else if( l->index() > r->index() ) {
427  (~lhs).append( i, r->index(), r->value() );
428  ++r;
429  }
430  else {
431  (~lhs).append( i, l->index(), l->value() + r->value() );
432  ++l;
433  ++r;
434  }
435  }
436 
437  while( l != lend ) {
438  (~lhs).append( i, l->index(), l->value() );
439  ++l;
440  }
441 
442  while( r != rend ) {
443  (~lhs).append( i, r->index(), r->value() );
444  ++r;
445  }
446 
447  (~lhs).finalize( i );
448  }
449  }
451  //**********************************************************************************************
452 
453  //**Assignment to column-major sparse matrices**************************************************
465  template< typename MT > // Type of the target sparse matrix
467  assign( SparseMatrix<MT,true>& lhs, const SMatSMatAddExpr& rhs )
468  {
470 
472 
473  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
474  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
475 
476  using LeftIterator = ConstIterator_< RemoveReference_<CT1> >;
477  using RightIterator = ConstIterator_< RemoveReference_<CT2> >;
478 
479  CT1 A( serial( rhs.lhs_ ) ); // Evaluation of the left-hand side sparse matrix operand
480  CT2 B( serial( rhs.rhs_ ) ); // Evaluation of the right-hand side sparse matrix operand
481 
482  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.lhs_.rows() , "Invalid number of rows" );
483  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.lhs_.columns(), "Invalid number of columns" );
484  BLAZE_INTERNAL_ASSERT( B.rows() == rhs.rhs_.rows() , "Invalid number of rows" );
485  BLAZE_INTERNAL_ASSERT( B.columns() == rhs.rhs_.columns(), "Invalid number of columns" );
486  BLAZE_INTERNAL_ASSERT( A.rows() == (~lhs).rows() , "Invalid number of rows" );
487  BLAZE_INTERNAL_ASSERT( A.columns() == (~lhs).columns() , "Invalid number of columns" );
488 
489  const size_t m( A.rows() );
490  const size_t n( A.columns() );
491 
492  // Counting the number of elements per column
493  std::vector<size_t> nonzeros( n, 0UL );
494  for( size_t i=0UL; i<m; ++i )
495  {
496  const LeftIterator lend( A.end(i) );
497  const RightIterator rend( B.end(i) );
498 
499  LeftIterator l( A.begin(i) );
500  RightIterator r( B.begin(i) );
501 
502  while( l != lend && r != rend )
503  {
504  if( l->index() < r->index() ) {
505  ++nonzeros[l->index()];
506  ++l;
507  }
508  else if( l->index() > r->index() ) {
509  ++nonzeros[r->index()];
510  ++r;
511  }
512  else {
513  ++nonzeros[l->index()];
514  ++l;
515  ++r;
516  }
517  }
518 
519  while( l != lend ) {
520  ++nonzeros[l->index()];
521  ++l;
522  }
523 
524  while( r != rend ) {
525  ++nonzeros[r->index()];
526  ++r;
527  }
528  }
529 
530  // Resizing the left-hand side sparse matrix
531  for( size_t j=0UL; j<n; ++j ) {
532  (~lhs).reserve( j, nonzeros[j] );
533  }
534 
535  // Performing the matrix addition
536  for( size_t i=0UL; i<m; ++i )
537  {
538  const LeftIterator lend( A.end(i) );
539  const RightIterator rend( B.end(i) );
540 
541  LeftIterator l( A.begin(i) );
542  RightIterator r( B.begin(i) );
543 
544  while( l != lend && r != rend )
545  {
546  if( l->index() < r->index() ) {
547  (~lhs).append( i, l->index(), l->value() );
548  ++l;
549  }
550  else if( l->index() > r->index() ) {
551  (~lhs).append( i, r->index(), r->value() );
552  ++r;
553  }
554  else {
555  (~lhs).append( i, l->index(), l->value() + r->value() );
556  ++l;
557  ++r;
558  }
559  }
560 
561  while( l != lend ) {
562  (~lhs).append( i, l->index(), l->value() );
563  ++l;
564  }
565 
566  while( r != rend ) {
567  (~lhs).append( i, r->index(), r->value() );
568  ++r;
569  }
570  }
571  }
573  //**********************************************************************************************
574 
575  //**Assignment to column-major sparse matrices**************************************************
587  template< typename MT > // Type of the target sparse matrix
589  assign( SparseMatrix<MT,true>& lhs, const SMatSMatAddExpr& rhs )
590  {
592 
594 
595  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
596  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
597 
598  assign( ~lhs, trans( rhs.lhs_ ) + trans( rhs.rhs_ ) );
599  }
601  //**********************************************************************************************
602 
603  //**Addition assignment to dense matrices*******************************************************
615  template< typename MT // Type of the target dense matrix
616  , bool SO > // Storage order of the target dense matrix
617  friend inline void addAssign( DenseMatrix<MT,SO>& lhs, const SMatSMatAddExpr& rhs )
618  {
620 
621  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
622  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
623 
624  addAssign( ~lhs, rhs.lhs_ );
625  addAssign( ~lhs, rhs.rhs_ );
626  }
628  //**********************************************************************************************
629 
630  //**Addition assignment to sparse matrices******************************************************
631  // No special implementation for the addition assignment to sparse matrices.
632  //**********************************************************************************************
633 
634  //**Subtraction assignment to dense matrices****************************************************
646  template< typename MT // Type of the target dense matrix
647  , bool SO > // Storage order of the target dense matrix
648  friend inline void subAssign( DenseMatrix<MT,SO>& lhs, const SMatSMatAddExpr& rhs )
649  {
651 
652  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
653  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
654 
655  subAssign( ~lhs, rhs.lhs_ );
656  subAssign( ~lhs, rhs.rhs_ );
657  }
659  //**********************************************************************************************
660 
661  //**Subtraction assignment to sparse matrices***************************************************
662  // No special implementation for the subtraction assignment to sparse matrices.
663  //**********************************************************************************************
664 
665  //**Schur product assignment to dense matrices**************************************************
677  template< typename MT // Type of the target dense matrix
678  , bool SO > // Storage order of the target dense matrix
679  friend inline void schurAssign( DenseMatrix<MT,SO>& lhs, const SMatSMatAddExpr& rhs )
680  {
682 
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 ResultType tmp( serial( rhs ) );
691  schurAssign( ~lhs, tmp );
692  }
694  //**********************************************************************************************
695 
696  //**Schur product assignment to sparse matrices******************************************************
697  // No special implementation for the Schur product assignment to sparse matrices.
698  //**********************************************************************************************
699 
700  //**Multiplication assignment to dense matrices*************************************************
701  // No special implementation for the multiplication assignment to dense matrices.
702  //**********************************************************************************************
703 
704  //**Multiplication assignment to sparse matrices************************************************
705  // No special implementation for the multiplication assignment to sparse matrices.
706  //**********************************************************************************************
707 
708  //**SMP assignment to dense matrices************************************************************
709  // No special implementation for the SMP assignment to dense matrices.
710  //**********************************************************************************************
711 
712  //**SMP assignment to sparse matrices***********************************************************
713  // No special implementation for the SMP assignment to sparse matrices.
714  //**********************************************************************************************
715 
716  //**SMP addition assignment to dense matrices***************************************************
730  template< typename MT // Type of the target dense matrix
731  , bool SO > // Storage order of the target dense matrix
732  friend inline EnableIf_< UseSMPAssign<MT> >
734  {
736 
737  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
738  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
739 
740  smpAddAssign( ~lhs, rhs.lhs_ );
741  smpAddAssign( ~lhs, rhs.rhs_ );
742  }
744  //**********************************************************************************************
745 
746  //**SMP addition assignment to sparse matrices**************************************************
747  // No special implementation for the SMP addition assignment to sparse matrices.
748  //**********************************************************************************************
749 
750  //**SMP subtraction assignment to dense matrices************************************************
764  template< typename MT // Type of the target dense matrix
765  , bool SO > // Storage order of the target dense matrix
766  friend inline EnableIf_< UseSMPAssign<MT> >
768  {
770 
771  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
772  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
773 
774  smpSubAssign( ~lhs, rhs.lhs_ );
775  smpSubAssign( ~lhs, rhs.rhs_ );
776  }
778  //**********************************************************************************************
779 
780  //**SMP subtraction assignment to sparse matrices***********************************************
781  // No special implementation for the SMP subtraction assignment to sparse matrices.
782  //**********************************************************************************************
783 
784  //**SMP Schur product assignment to dense matrices**********************************************
799  template< typename MT // Type of the target dense matrix
800  , bool SO > // Storage order of the target dense matrix
801  friend inline EnableIf_< UseSMPAssign<MT> >
803  {
805 
809 
810  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
811  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
812 
813  const ResultType tmp( rhs );
814  smpSchurAssign( ~lhs, tmp );
815  }
817  //**********************************************************************************************
818 
819  //**SMP Schur product assignment to sparse matrices*********************************************
820  // No special implementation for the SMP Schur product assignment to sparse matrices.
821  //**********************************************************************************************
822 
823  //**SMP multiplication assignment to dense matrices*********************************************
824  // No special implementation for the SMP multiplication assignment to dense matrices.
825  //**********************************************************************************************
826 
827  //**SMP multiplication assignment to sparse matrices********************************************
828  // No special implementation for the SMP multiplication assignment to sparse matrices.
829  //**********************************************************************************************
830 
831  //**Compile time checks*************************************************************************
839  //**********************************************************************************************
840 };
841 //*************************************************************************************************
842 
843 
844 
845 
846 //=================================================================================================
847 //
848 // GLOBAL BINARY ARITHMETIC OPERATORS
849 //
850 //=================================================================================================
851 
852 //*************************************************************************************************
878 template< typename MT1 // Type of the left-hand side sparse matrix
879  , typename MT2 > // Type of the right-hand side sparse matrix
880 inline decltype(auto)
881  operator+( const SparseMatrix<MT1,false>& lhs, const SparseMatrix<MT2,false>& rhs )
882 {
884 
885  if( (~lhs).rows() != (~rhs).rows() || (~lhs).columns() != (~rhs).columns() ) {
886  BLAZE_THROW_INVALID_ARGUMENT( "Matrix sizes do not match" );
887  }
888 
889  using ReturnType = const SMatSMatAddExpr<MT1,MT2>;
890  return ReturnType( ~lhs, ~rhs );
891 }
892 //*************************************************************************************************
893 
894 
895 
896 
897 //=================================================================================================
898 //
899 // ROWS SPECIALIZATIONS
900 //
901 //=================================================================================================
902 
903 //*************************************************************************************************
905 template< typename MT1, typename MT2 >
906 struct Rows< SMatSMatAddExpr<MT1,MT2> >
907  : public Maximum< Rows<MT1>, Rows<MT2> >
908 {};
910 //*************************************************************************************************
911 
912 
913 
914 
915 //=================================================================================================
916 //
917 // COLUMNS SPECIALIZATIONS
918 //
919 //=================================================================================================
920 
921 //*************************************************************************************************
923 template< typename MT1, typename MT2 >
924 struct Columns< SMatSMatAddExpr<MT1,MT2> >
925  : public Maximum< Columns<MT1>, Columns<MT2> >
926 {};
928 //*************************************************************************************************
929 
930 
931 
932 
933 //=================================================================================================
934 //
935 // ISSYMMETRIC SPECIALIZATIONS
936 //
937 //=================================================================================================
938 
939 //*************************************************************************************************
941 template< typename MT1, typename MT2 >
942 struct IsSymmetric< SMatSMatAddExpr<MT1,MT2> >
943  : public BoolConstant< IsSymmetric<MT1>::value && IsSymmetric<MT2>::value >
944 {};
946 //*************************************************************************************************
947 
948 
949 
950 
951 //=================================================================================================
952 //
953 // ISHERMITIAN SPECIALIZATIONS
954 //
955 //=================================================================================================
956 
957 //*************************************************************************************************
959 template< typename MT1, typename MT2 >
960 struct IsHermitian< SMatSMatAddExpr<MT1,MT2> >
961  : public BoolConstant< IsHermitian<MT1>::value && IsHermitian<MT2>::value >
962 {};
964 //*************************************************************************************************
965 
966 
967 
968 
969 //=================================================================================================
970 //
971 // ISLOWER SPECIALIZATIONS
972 //
973 //=================================================================================================
974 
975 //*************************************************************************************************
977 template< typename MT1, typename MT2 >
978 struct IsLower< SMatSMatAddExpr<MT1,MT2> >
979  : public BoolConstant< And< IsLower<MT1>, IsLower<MT2> >::value >
980 {};
982 //*************************************************************************************************
983 
984 
985 
986 
987 //=================================================================================================
988 //
989 // ISUNILOWER SPECIALIZATIONS
990 //
991 //=================================================================================================
992 
993 //*************************************************************************************************
995 template< typename MT1, typename MT2 >
996 struct IsUniLower< SMatSMatAddExpr<MT1,MT2> >
997  : public BoolConstant< Or< And< IsUniLower<MT1>, IsStrictlyLower<MT2> >
998  , And< IsUniLower<MT2>, IsStrictlyLower<MT1> > >::value >
999 {};
1001 //*************************************************************************************************
1002 
1003 
1004 
1005 
1006 //=================================================================================================
1007 //
1008 // ISSTRICTLYLOWER SPECIALIZATIONS
1009 //
1010 //=================================================================================================
1011 
1012 //*************************************************************************************************
1014 template< typename MT1, typename MT2 >
1015 struct IsStrictlyLower< SMatSMatAddExpr<MT1,MT2> >
1016  : public BoolConstant< And< IsStrictlyLower<MT1>, IsStrictlyLower<MT2> >::value >
1017 {};
1019 //*************************************************************************************************
1020 
1021 
1022 
1023 
1024 //=================================================================================================
1025 //
1026 // ISUPPER SPECIALIZATIONS
1027 //
1028 //=================================================================================================
1029 
1030 //*************************************************************************************************
1032 template< typename MT1, typename MT2 >
1033 struct IsUpper< SMatSMatAddExpr<MT1,MT2> >
1034  : public BoolConstant< And< IsUpper<MT1>, IsUpper<MT2> >::value >
1035 {};
1037 //*************************************************************************************************
1038 
1039 
1040 
1041 
1042 //=================================================================================================
1043 //
1044 // ISUNIUPPER SPECIALIZATIONS
1045 //
1046 //=================================================================================================
1047 
1048 //*************************************************************************************************
1050 template< typename MT1, typename MT2 >
1051 struct IsUniUpper< SMatSMatAddExpr<MT1,MT2> >
1052  : public BoolConstant< Or< And< IsUniUpper<MT1>, IsStrictlyUpper<MT2> >
1053  , And< IsUniUpper<MT2>, IsStrictlyUpper<MT1> > >::value >
1054 {};
1056 //*************************************************************************************************
1057 
1058 
1059 
1060 
1061 //=================================================================================================
1062 //
1063 // ISSTRICTLYUPPER SPECIALIZATIONS
1064 //
1065 //=================================================================================================
1066 
1067 //*************************************************************************************************
1069 template< typename MT1, typename MT2 >
1070 struct IsStrictlyUpper< SMatSMatAddExpr<MT1,MT2> >
1071  : public BoolConstant< And< IsStrictlyUpper<MT1>, IsStrictlyUpper<MT2> >::value >
1072 {};
1074 //*************************************************************************************************
1075 
1076 } // namespace blaze
1077 
1078 #endif
#define BLAZE_THROW_INVALID_ARGUMENT(MESSAGE)
Macro for the emission of a std::invalid_argument exception.This macro encapsulates the default way o...
Definition: Exception.h:235
CompositeType_< MT2 > CT2
Composite type of the right-hand side sparse matrix expression.
Definition: SMatSMatAddExpr.h:112
Header file for auxiliary alias declarations.
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.
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
Header file for basic type definitions.
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.
const IfTrue_< returnExpr, ExprReturnType, ElementType > ReturnType
Return type for expression template evaluations.
Definition: SMatSMatAddExpr.h:168
Generic wrapper for a compile time constant integral value.The IntegralConstant class template repres...
Definition: IntegralConstant.h:71
const ResultType CompositeType
Data type for composite expression templates.
Definition: SMatSMatAddExpr.h:171
ElementType_< ResultType > ElementType
Resulting element type.
Definition: SMatSMatAddExpr.h:165
typename DisableIf< Condition, T >::Type DisableIf_
Auxiliary type for the DisableIf class template.The DisableIf_ alias declaration provides a convenien...
Definition: DisableIf.h:224
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
Header file for the AddExprTrait class template.
size_t nonZeros(size_t i) const
Returns the number of non-zero elements in the specified row.
Definition: SMatSMatAddExpr.h:269
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: SMatSMatAddExpr.h:222
Header file for the Computation base class.
If_< IsExpression< MT1 >, const MT1, const MT1 &> LeftOperand
Composite type of the left-hand side sparse matrix expression.
Definition: SMatSMatAddExpr.h:174
Compile time check for upper triangular matrices.This type trait tests whether or not the given templ...
Definition: IsUpper.h:88
Constraints on the storage order of matrix types.
CompositeType_< MT1 > CT1
Composite type of the left-hand side sparse matrix expression.
Definition: SMatSMatAddExpr.h:111
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
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
SMatSMatAddExpr(const MT1 &lhs, const MT2 &rhs) noexcept
Constructor for the SMatSMatAddExpr class.
Definition: SMatSMatAddExpr.h:191
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
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
RightOperand rightOperand() const noexcept
Returns the right-hand side sparse matrix operand.
Definition: SMatSMatAddExpr.h:289
Header file for the SparseMatrix base class.
Constraint on the data type.
Header file for the Maximum class template.
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
Header file for the DisableIf class template.
Header file for the IsTemporary type trait class.
ReturnType_< MT1 > RN1
Return type of the left-hand side sparse matrix expression.
Definition: SMatSMatAddExpr.h:113
Header file for the IsStrictlyUpper type trait.
Header file for the IsSymmetric type trait.
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
Header file for the If class template.
ReturnType_< MT2 > RN2
Return type of the right-hand side sparse matrix expression.
Definition: SMatSMatAddExpr.h:114
#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
AddExprTrait_< RN1, RN2 > ExprReturnType
Expression return type for the subscript operator.
Definition: SMatSMatAddExpr.h:127
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
size_t nonZeros() const
Returns the number of non-zero elements in the sparse matrix.
Definition: SMatSMatAddExpr.h:258
Header file for the Columns type trait.
AddTrait_< RT1, RT2 > ResultType
Result type for expression template evaluations.
Definition: SMatSMatAddExpr.h:162
typename T::ElementType ElementType_
Alias declaration for nested ElementType type definitions.The ElementType_ alias declaration provides...
Definition: Aliases.h:163
Header file for the IsLower type trait.
OppositeType_< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: SMatSMatAddExpr.h:163
LeftOperand leftOperand() const noexcept
Returns the left-hand side sparse matrix operand.
Definition: SMatSMatAddExpr.h:279
RightOperand rhs_
Right-hand side sparse matrix of the addition expression.
Definition: SMatSMatAddExpr.h:321
Compile time check for symmetric matrices.This type trait tests whether or not the given template par...
Definition: IsSymmetric.h:85
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
BLAZE_ALWAYS_INLINE MT::Iterator end(Matrix< MT, SO > &matrix, size_t i)
Returns an iterator just past the last element of row/column i.
Definition: Matrix.h:264
#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
Constraint on the data type.
Header file for all forward declarations for expression class templates.
Header file for the EnableIf class template.
Header file for the IsStrictlyLower type trait.
Compile time check for lower unitriangular matrices.This type trait tests whether or not the given te...
Definition: IsUniLower.h:86
Compile time check for resizable data types.This type trait tests whether the given data type is a re...
Definition: IsResizable.h:75
ResultType_< MT1 > RT1
Result type of the left-hand side sparse matrix expression.
Definition: SMatSMatAddExpr.h:109
#define BLAZE_CONSTRAINT_MUST_NOT_BE_SYMMETRIC_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is a symmetric matrix type, a compilation error is created.
Definition: Symmetric.h:79
#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
Header file for run time assertion macros.
Header file for the addition trait.
LeftOperand lhs_
Left-hand side sparse matrix of the addition expression.
Definition: SMatSMatAddExpr.h:320
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.
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: SMatSMatAddExpr.h:301
#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
Header file for the isDefault shim.
Compile time check for Hermitian matrices.This type trait tests whether or not the given template par...
Definition: IsHermitian.h:85
Constraint on the data type.
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: SMatSMatAddExpr.h:164
Constraints on the storage order of matrix types.
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
If_< IsExpression< MT2 >, const MT2, const MT2 &> RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: SMatSMatAddExpr.h:177
Header file for the MatMatAddExpr base class.
Header file for the RemoveReference type trait.
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
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
decltype(auto) trans(const DenseMatrix< MT, SO > &dm)
Calculation of the transpose of the given dense matrix.
Definition: DMatTransExpr.h:790
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: SMatSMatAddExpr.h:238
Header file for the IsComputation type trait class.
Expression object for sparse matrix-sparse matrix additions.The SMatSMatAddExpr class represents the ...
Definition: Forward.h:116
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: SMatSMatAddExpr.h:313
ResultType_< MT2 > RT2
Result type of the right-hand side sparse matrix expression.
Definition: SMatSMatAddExpr.h:110
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
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: SMatSMatAddExpr.h:207
Compile time evaluation of the number of rows of a matrix.The Rows type trait evaluates the number of...
Definition: Rows.h:75
bool isDefault(const DiagonalProxy< MT > &proxy)
Returns whether the represented element is in default state.
Definition: DiagonalProxy.h:600
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.
Header file for the IsResizable type trait.
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: SMatSMatAddExpr.h:248
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
#define BLAZE_CONSTRAINT_MUST_BE_SPARSE_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is not a sparse, N-dimensional matrix type...
Definition: SparseMatrix.h:61
Header file for the IsExpression type trait class.
Header file for the function trace functionality.