TSMatTSMatAddExpr.h
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1 //=================================================================================================
33 //=================================================================================================
34 
35 #ifndef _BLAZE_MATH_EXPRESSIONS_TSMATTSMATADDEXPR_H_
36 #define _BLAZE_MATH_EXPRESSIONS_TSMATTSMATADDEXPR_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 TSMATTSMATADDEXPR
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 TSMatTSMatAddExpr
104  : public MatMatAddExpr< SparseMatrix< TSMatTSMatAddExpr<MT1,MT2>, true > >
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 TSMatTSMatAddExpr( 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****************************************************************
337  template< typename MT // Type of the target dense matrix
338  , bool SO > // Storage order of the target dense matrix
339  friend inline void assign( DenseMatrix<MT,SO>& lhs, const TSMatTSMatAddExpr& rhs )
340  {
342 
343  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
344  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
345 
346  using RightIterator = ConstIterator_< RemoveReference_<CT2> >;
347 
348  assign( ~lhs, rhs.lhs_ );
349 
350  if( !IsResizable< ElementType_<MT> >::value ) {
351  addAssign( ~lhs, rhs.rhs_ );
352  }
353  else
354  {
355  CT2 B( serial( rhs.rhs_ ) ); // Evaluation of the right-hand side sparse matrix operand
356 
357  BLAZE_INTERNAL_ASSERT( B.rows() == rhs.rhs_.rows() , "Invalid number of rows" );
358  BLAZE_INTERNAL_ASSERT( B.columns() == rhs.rhs_.columns(), "Invalid number of columns" );
359  BLAZE_INTERNAL_ASSERT( B.rows() == (~lhs).rows() , "Invalid number of rows" );
360  BLAZE_INTERNAL_ASSERT( B.columns() == (~lhs).columns() , "Invalid number of columns" );
361 
362  for( size_t j=0UL; j<(~lhs).columns(); ++j ) {
363  const RightIterator end( B.end(j) );
364  for( RightIterator element=B.begin(j); element!=end; ++element ) {
365  if( isDefault( (~lhs)(element->index(),j) ) )
366  (~lhs)(element->index(),j) = element->value();
367  else
368  (~lhs)(element->index(),j) += element->value();
369  }
370  }
371  }
372  }
374  //**********************************************************************************************
375 
376  //**Assignment to row-major sparse matrices*****************************************************
389  template< typename MT > // Type of the target sparse matrix
391  assign( SparseMatrix<MT,false>& lhs, const TSMatTSMatAddExpr& rhs )
392  {
394 
396 
397  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
398  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
399 
400  using LeftIterator = ConstIterator_< RemoveReference_<CT1> >;
401  using RightIterator = ConstIterator_< RemoveReference_<CT2> >;
402 
403  CT1 A( serial( rhs.lhs_ ) ); // Evaluation of the left-hand side sparse matrix operand
404  CT2 B( serial( rhs.rhs_ ) ); // Evaluation of the right-hand side sparse matrix operand
405 
406  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.lhs_.rows() , "Invalid number of rows" );
407  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.lhs_.columns(), "Invalid number of columns" );
408  BLAZE_INTERNAL_ASSERT( B.rows() == rhs.rhs_.rows() , "Invalid number of rows" );
409  BLAZE_INTERNAL_ASSERT( B.columns() == rhs.rhs_.columns(), "Invalid number of columns" );
410  BLAZE_INTERNAL_ASSERT( A.rows() == (~lhs).rows() , "Invalid number of rows" );
411  BLAZE_INTERNAL_ASSERT( A.columns() == (~lhs).columns() , "Invalid number of columns" );
412 
413  const size_t m( rhs.rows() );
414  const size_t n( rhs.columns() );
415 
416  // Counting the number of elements per column
417  std::vector<size_t> nonzeros( m, 0UL );
418  for( size_t j=0UL; j<n; ++j )
419  {
420  const LeftIterator lend( A.end(j) );
421  const RightIterator rend( B.end(j) );
422 
423  LeftIterator l( A.begin(j) );
424  RightIterator r( B.begin(j) );
425 
426  while( l != lend && r != rend )
427  {
428  if( l->index() < r->index() ) {
429  ++nonzeros[l->index()];
430  ++l;
431  }
432  else if( l->index() > r->index() ) {
433  ++nonzeros[r->index()];
434  ++r;
435  }
436  else {
437  ++nonzeros[l->index()];
438  ++l;
439  ++r;
440  }
441  }
442 
443  while( l != lend ) {
444  ++nonzeros[l->index()];
445  ++l;
446  }
447 
448  while( r != rend ) {
449  ++nonzeros[r->index()];
450  ++r;
451  }
452  }
453 
454  // Resizing the left-hand side sparse matrix
455  for( size_t i=0UL; i<m; ++i ) {
456  (~lhs).reserve( i, nonzeros[i] );
457  }
458 
459  // Performing the matrix addition
460  for( size_t j=0UL; j<n; ++j )
461  {
462  const LeftIterator lend( A.end(j) );
463  const RightIterator rend( B.end(j) );
464 
465  LeftIterator l( A.begin(j) );
466  RightIterator r( B.begin(j) );
467 
468  while( l != lend && r != rend )
469  {
470  if( l->index() < r->index() ) {
471  (~lhs).append( l->index(), j, l->value() );
472  ++l;
473  }
474  else if( l->index() > r->index() ) {
475  (~lhs).append( r->index(), j, r->value() );
476  ++r;
477  }
478  else {
479  (~lhs).append( l->index(), j, l->value() + r->value() );
480  ++l;
481  ++r;
482  }
483  }
484 
485  while( l != lend ) {
486  (~lhs).append( l->index(), j, l->value() );
487  ++l;
488  }
489 
490  while( r != rend ) {
491  (~lhs).append( r->index(), j, r->value() );
492  ++r;
493  }
494  }
495  }
497  //**********************************************************************************************
498 
499  //**Assignment to row-major sparse matrices*****************************************************
512  template< typename MT > // Type of the target sparse matrix
514  assign( SparseMatrix<MT,false>& lhs, const TSMatTSMatAddExpr& rhs )
515  {
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  assign( ~lhs, trans( rhs.lhs_ ) + trans( rhs.rhs_ ) );
524  }
526  //**********************************************************************************************
527 
528  //**Assignment to column-major sparse matrices**************************************************
541  template< typename MT > // Type of the target sparse matrix
542  friend inline void assign( SparseMatrix<MT,true>& lhs, const TSMatTSMatAddExpr& rhs )
543  {
545 
546  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
547  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
548 
549  using LeftIterator = ConstIterator_< RemoveReference_<CT1> >;
550  using RightIterator = ConstIterator_< RemoveReference_<CT2> >;
551 
552  CT1 A( serial( rhs.lhs_ ) ); // Evaluation of the left-hand side sparse matrix operand
553  CT2 B( serial( rhs.rhs_ ) ); // Evaluation of the right-hand side sparse matrix operand
554 
555  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.lhs_.rows() , "Invalid number of rows" );
556  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.lhs_.columns(), "Invalid number of columns" );
557  BLAZE_INTERNAL_ASSERT( B.rows() == rhs.rhs_.rows() , "Invalid number of rows" );
558  BLAZE_INTERNAL_ASSERT( B.columns() == rhs.rhs_.columns(), "Invalid number of columns" );
559  BLAZE_INTERNAL_ASSERT( A.rows() == (~lhs).rows() , "Invalid number of rows" );
560  BLAZE_INTERNAL_ASSERT( A.columns() == (~lhs).columns() , "Invalid number of columns" );
561 
562  // Final memory allocation (based on the evaluated operands)
563  (~lhs).reserve( A.nonZeros() + B.nonZeros() );
564 
565  // Performing the matrix addition
566  for( size_t j=0UL; j<(~lhs).columns(); ++j )
567  {
568  const LeftIterator lend( A.end(j) );
569  const RightIterator rend( B.end(j) );
570 
571  LeftIterator l( A.begin(j) );
572  RightIterator r( B.begin(j) );
573 
574  while( l != lend && r != rend )
575  {
576  if( l->index() < r->index() ) {
577  (~lhs).append( l->index(), j, l->value() );
578  ++l;
579  }
580  else if( l->index() > r->index() ) {
581  (~lhs).append( r->index(), j, r->value() );
582  ++r;
583  }
584  else {
585  (~lhs).append( l->index(), j, l->value() + r->value() );
586  ++l;
587  ++r;
588  }
589  }
590 
591  while( l != lend ) {
592  (~lhs).append( l->index(), j, l->value() );
593  ++l;
594  }
595 
596  while( r != rend ) {
597  (~lhs).append( r->index(), j, r->value() );
598  ++r;
599  }
600 
601  (~lhs).finalize( j );
602  }
603  }
605  //**********************************************************************************************
606 
607  //**Addition assignment to dense matrices*******************************************************
620  template< typename MT // Type of the target dense matrix
621  , bool SO > // Storage order of the target dense matrix
622  friend inline void addAssign( DenseMatrix<MT,SO>& lhs, const TSMatTSMatAddExpr& rhs )
623  {
625 
626  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
627  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
628 
629  addAssign( ~lhs, rhs.lhs_ );
630  addAssign( ~lhs, rhs.rhs_ );
631  }
633  //**********************************************************************************************
634 
635  //**Addition assignment to sparse matrices******************************************************
636  // No special implementation for the addition assignment to sparse matrices.
637  //**********************************************************************************************
638 
639  //**Subtraction assignment to dense matrices****************************************************
652  template< typename MT // Type of the target dense matrix
653  , bool SO > // Storage order of the target dense matrix
654  friend inline void subAssign( DenseMatrix<MT,SO>& lhs, const TSMatTSMatAddExpr& rhs )
655  {
657 
658  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
659  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
660 
661  subAssign( ~lhs, rhs.lhs_ );
662  subAssign( ~lhs, rhs.rhs_ );
663  }
665  //**********************************************************************************************
666 
667  //**Subtraction assignment to sparse matrices***************************************************
668  // No special implementation for the subtraction assignment to sparse matrices.
669  //**********************************************************************************************
670 
671  //**Schur product assignment to dense matrices**************************************************
684  template< typename MT // Type of the target dense matrix
685  , bool SO > // Storage order of the target dense matrix
686  friend inline void schurAssign( DenseMatrix<MT,SO>& lhs, const TSMatTSMatAddExpr& rhs )
687  {
689 
693 
694  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
695  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
696 
697  const ResultType tmp( serial( rhs ) );
698  schurAssign( ~lhs, tmp );
699  }
701  //**********************************************************************************************
702 
703  //**Schur product assignment to sparse matrices*************************************************
704  // No special implementation for the Schur product assignment to sparse matrices.
705  //**********************************************************************************************
706 
707  //**Multiplication assignment to dense matrices*************************************************
708  // No special implementation for the multiplication assignment to dense matrices.
709  //**********************************************************************************************
710 
711  //**Multiplication assignment to sparse matrices************************************************
712  // No special implementation for the multiplication assignment to sparse matrices.
713  //**********************************************************************************************
714 
715  //**SMP assignment to dense matrices************************************************************
716  // No special implementation for the SMP assignment to dense matrices.
717  //**********************************************************************************************
718 
719  //**SMP assignment to sparse matrices***********************************************************
720  // No special implementation for the SMP assignment to sparse matrices.
721  //**********************************************************************************************
722 
723  //**SMP addition assignment to dense matrices***************************************************
738  template< typename MT // Type of the target dense matrix
739  , bool SO > // Storage order of the target dense matrix
740  friend inline EnableIf_< UseSMPAssign<MT> >
742  {
744 
745  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
746  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
747 
748  smpAddAssign( ~lhs, rhs.lhs_ );
749  smpAddAssign( ~lhs, rhs.rhs_ );
750  }
752  //**********************************************************************************************
753 
754  //**SMP addition assignment to sparse matrices**************************************************
755  // No special implementation for the SMP addition assignment to sparse matrices.
756  //**********************************************************************************************
757 
758  //**SMP subtraction assignment to dense matrices************************************************
773  template< typename MT // Type of the target dense matrix
774  , bool SO > // Storage order of the target dense matrix
775  friend inline EnableIf_< UseSMPAssign<MT> >
777  {
779 
780  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
781  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
782 
783  smpSubAssign( ~lhs, rhs.lhs_ );
784  smpSubAssign( ~lhs, rhs.rhs_ );
785  }
787  //**********************************************************************************************
788 
789  //**SMP subtraction assignment to sparse matrices***********************************************
790  // No special implementation for the SMP subtraction assignment to sparse matrices.
791  //**********************************************************************************************
792 
793  //**SMP Schur product assignment to dense matrices**********************************************
809  template< typename MT // Type of the target dense matrix
810  , bool SO > // Storage order of the target dense matrix
811  friend inline EnableIf_< UseSMPAssign<MT> >
813  {
815 
819 
820  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
821  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
822 
823  const ResultType tmp( rhs );
824  smpSchurAssign( ~lhs, tmp );
825  }
827  //**********************************************************************************************
828 
829  //**SMP Schur product assignment to sparse matrices*********************************************
830  // No special implementation for the SMP Schur product assignment to sparse matrices.
831  //**********************************************************************************************
832 
833  //**SMP multiplication assignment to dense matrices*********************************************
834  // No special implementation for the SMP multiplication assignment to dense matrices.
835  //**********************************************************************************************
836 
837  //**SMP multiplication assignment to sparse matrices********************************************
838  // No special implementation for the SMP multiplication assignment to sparse matrices.
839  //**********************************************************************************************
840 
841  //**Compile time checks*************************************************************************
849  //**********************************************************************************************
850 };
851 //*************************************************************************************************
852 
853 
854 
855 
856 //=================================================================================================
857 //
858 // GLOBAL BINARY ARITHMETIC OPERATORS
859 //
860 //=================================================================================================
861 
862 //*************************************************************************************************
888 template< typename MT1 // Type of the left-hand side sparse matrix
889  , typename MT2 > // Type of the right-hand side sparse matrix
890 inline decltype(auto)
891  operator+( const SparseMatrix<MT1,true>& lhs, const SparseMatrix<MT2,true>& rhs )
892 {
894 
895  if( (~lhs).rows() != (~rhs).rows() || (~lhs).columns() != (~rhs).columns() ) {
896  BLAZE_THROW_INVALID_ARGUMENT( "Matrix sizes do not match" );
897  }
898 
900  return ReturnType( ~lhs, ~rhs );
901 }
902 //*************************************************************************************************
903 
904 
905 
906 
907 //=================================================================================================
908 //
909 // ROWS SPECIALIZATIONS
910 //
911 //=================================================================================================
912 
913 //*************************************************************************************************
915 template< typename MT1, typename MT2 >
916 struct Rows< TSMatTSMatAddExpr<MT1,MT2> >
917  : public Maximum< Rows<MT1>, Rows<MT2> >
918 {};
920 //*************************************************************************************************
921 
922 
923 
924 
925 //=================================================================================================
926 //
927 // COLUMNS SPECIALIZATIONS
928 //
929 //=================================================================================================
930 
931 //*************************************************************************************************
933 template< typename MT1, typename MT2 >
934 struct Columns< TSMatTSMatAddExpr<MT1,MT2> >
935  : public Maximum< Columns<MT1>, Columns<MT2> >
936 {};
938 //*************************************************************************************************
939 
940 
941 
942 
943 //=================================================================================================
944 //
945 // ISSYMMETRIC SPECIALIZATIONS
946 //
947 //=================================================================================================
948 
949 //*************************************************************************************************
951 template< typename MT1, typename MT2 >
952 struct IsSymmetric< TSMatTSMatAddExpr<MT1,MT2> >
953  : public BoolConstant< IsSymmetric<MT1>::value && IsSymmetric<MT2>::value >
954 {};
956 //*************************************************************************************************
957 
958 
959 
960 
961 //=================================================================================================
962 //
963 // ISHERMITIAN SPECIALIZATIONS
964 //
965 //=================================================================================================
966 
967 //*************************************************************************************************
969 template< typename MT1, typename MT2 >
970 struct IsHermitian< TSMatTSMatAddExpr<MT1,MT2> >
971  : public BoolConstant< IsHermitian<MT1>::value && IsHermitian<MT2>::value >
972 {};
974 //*************************************************************************************************
975 
976 
977 
978 
979 //=================================================================================================
980 //
981 // ISLOWER SPECIALIZATIONS
982 //
983 //=================================================================================================
984 
985 //*************************************************************************************************
987 template< typename MT1, typename MT2 >
988 struct IsLower< TSMatTSMatAddExpr<MT1,MT2> >
989  : public BoolConstant< And< IsLower<MT1>, IsLower<MT2> >::value >
990 {};
992 //*************************************************************************************************
993 
994 
995 
996 
997 //=================================================================================================
998 //
999 // ISUNILOWER SPECIALIZATIONS
1000 //
1001 //=================================================================================================
1002 
1003 //*************************************************************************************************
1005 template< typename MT1, typename MT2 >
1006 struct IsUniLower< TSMatTSMatAddExpr<MT1,MT2> >
1007  : public BoolConstant< Or< And< IsUniLower<MT1>, IsStrictlyLower<MT2> >
1008  , And< IsUniLower<MT2>, IsStrictlyLower<MT1> > >::value >
1009 {};
1011 //*************************************************************************************************
1012 
1013 
1014 
1015 
1016 //=================================================================================================
1017 //
1018 // ISSTRICTLYLOWER SPECIALIZATIONS
1019 //
1020 //=================================================================================================
1021 
1022 //*************************************************************************************************
1024 template< typename MT1, typename MT2 >
1025 struct IsStrictlyLower< TSMatTSMatAddExpr<MT1,MT2> >
1026  : public BoolConstant< And< IsStrictlyLower<MT1>, IsStrictlyLower<MT2> >::value >
1027 {};
1029 //*************************************************************************************************
1030 
1031 
1032 
1033 
1034 //=================================================================================================
1035 //
1036 // ISUPPER SPECIALIZATIONS
1037 //
1038 //=================================================================================================
1039 
1040 //*************************************************************************************************
1042 template< typename MT1, typename MT2 >
1043 struct IsUpper< TSMatTSMatAddExpr<MT1,MT2> >
1044  : public BoolConstant< And< IsUpper<MT1>, IsUpper<MT2> >::value >
1045 {};
1047 //*************************************************************************************************
1048 
1049 
1050 
1051 
1052 //=================================================================================================
1053 //
1054 // ISUNIUPPER SPECIALIZATIONS
1055 //
1056 //=================================================================================================
1057 
1058 //*************************************************************************************************
1060 template< typename MT1, typename MT2 >
1061 struct IsUniUpper< TSMatTSMatAddExpr<MT1,MT2> >
1062  : public BoolConstant< Or< And< IsUniUpper<MT1>, IsStrictlyUpper<MT2> >
1063  , And< IsUniUpper<MT2>, IsStrictlyUpper<MT1> > >::value >
1064 {};
1066 //*************************************************************************************************
1067 
1068 
1069 
1070 
1071 //=================================================================================================
1072 //
1073 // ISSTRICTLYUPPER SPECIALIZATIONS
1074 //
1075 //=================================================================================================
1076 
1077 //*************************************************************************************************
1079 template< typename MT1, typename MT2 >
1080 struct IsStrictlyUpper< TSMatTSMatAddExpr<MT1,MT2> >
1081  : public BoolConstant< And< IsStrictlyUpper<MT1>, IsStrictlyUpper<MT2> >::value >
1082 {};
1084 //*************************************************************************************************
1085 
1086 } // namespace blaze
1087 
1088 #endif
CompositeType_< MT2 > CT2
Composite type of the right-hand side sparse matrix expression.
Definition: TSMatTSMatAddExpr.h:114
#define BLAZE_THROW_INVALID_ARGUMENT(MESSAGE)
Macro for the emission of a std::invalid_argument exception.This macro encapsulates the default way o...
Definition: Exception.h:235
Header file for auxiliary alias declarations.
size_t nonZeros(size_t i) const
Returns the number of non-zero elements in the specified row.
Definition: TSMatTSMatAddExpr.h:269
const IfTrue_< returnExpr, ExprReturnType, ElementType > ReturnType
Return type for expression template evaluations.
Definition: TSMatTSMatAddExpr.h:168
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.
AddTrait_< RT1, RT2 > ResultType
Result type for expression template evaluations.
Definition: TSMatTSMatAddExpr.h:162
Generic wrapper for a compile time constant integral value.The IntegralConstant class template repres...
Definition: IntegralConstant.h:71
LeftOperand lhs_
Left-hand side sparse matrix of the addition expression.
Definition: TSMatTSMatAddExpr.h:320
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
If_< IsExpression< MT1 >, const MT1, const MT1 &> LeftOperand
Composite type of the left-hand side sparse matrix expression.
Definition: TSMatTSMatAddExpr.h:174
Header file for the AddExprTrait class template.
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
Constraints on the storage order of matrix types.
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
TSMatTSMatAddExpr(const MT1 &lhs, const MT2 &rhs) noexcept
Constructor for the TSMatTSMatAddExpr class.
Definition: TSMatTSMatAddExpr.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
size_t nonZeros() const
Returns the number of non-zero elements in the sparse matrix.
Definition: TSMatTSMatAddExpr.h:258
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
Header file for the SparseMatrix base class.
ElementType_< ResultType > ElementType
Resulting element type.
Definition: TSMatTSMatAddExpr.h:165
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
If_< IsExpression< MT2 >, const MT2, const MT2 &> RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: TSMatTSMatAddExpr.h:177
const ResultType CompositeType
Data type for composite expression templates.
Definition: TSMatTSMatAddExpr.h:171
Header file for the DisableIf class template.
Header file for the IsTemporary type trait class.
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
CompositeType_< MT1 > CT1
Composite type of the left-hand side sparse matrix expression.
Definition: TSMatTSMatAddExpr.h:113
Namespace of the Blaze C++ math library.
Definition: Blaze.h:57
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: TSMatTSMatAddExpr.h:301
Header file for the If class template.
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: TSMatTSMatAddExpr.h:248
#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
Expression object for transpose sparse matrix-transpose sparse matrix additions.The TSMatTSMatAddExpr...
Definition: Forward.h:169
RightOperand rhs_
Right-hand side sparse matrix of the addition expression.
Definition: TSMatTSMatAddExpr.h:321
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 Columns type trait.
typename T::ElementType ElementType_
Alias declaration for nested ElementType type definitions.The ElementType_ alias declaration provides...
Definition: Aliases.h:163
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: TSMatTSMatAddExpr.h:313
ReturnType_< MT2 > RN2
Return type of the right-hand side sparse matrix expression.
Definition: TSMatTSMatAddExpr.h:112
Header file for the IsLower type trait.
Compile time check for symmetric matrices.This type trait tests whether or not the given template par...
Definition: IsSymmetric.h:85
OppositeType_< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: TSMatTSMatAddExpr.h:163
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.
ReturnType_< MT1 > RN1
Return type of the left-hand side sparse matrix expression.
Definition: TSMatTSMatAddExpr.h:111
Header file for the EnableIf class template.
Header file for the IsStrictlyLower type trait.
AddExprTrait_< RN1, RN2 > ExprReturnType
Expression return type for the subscript operator.
Definition: TSMatTSMatAddExpr.h:127
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
#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.
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.
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: TSMatTSMatAddExpr.h:238
#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.
ResultType_< MT2 > RT2
Result type of the right-hand side sparse matrix expression.
Definition: TSMatTSMatAddExpr.h:110
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
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
Header file for the IsComputation type trait class.
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: TSMatTSMatAddExpr.h:207
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: TSMatTSMatAddExpr.h:164
Header file for the IntegralConstant class template.
Compile time evaluation of the number of columns of a matrix.The Columns type trait evaluates the num...
Definition: Columns.h:75
Compile time evaluation of the number of rows of a matrix.The Rows type trait evaluates the number of...
Definition: Rows.h:75
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: TSMatTSMatAddExpr.h:222
bool isDefault(const DiagonalProxy< MT > &proxy)
Returns whether the represented element is in default state.
Definition: DiagonalProxy.h:600
RightOperand rightOperand() const noexcept
Returns the right-hand side transpose sparse matrix operand.
Definition: TSMatTSMatAddExpr.h:289
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.
LeftOperand leftOperand() const noexcept
Returns the left-hand side transpose sparse matrix operand.
Definition: TSMatTSMatAddExpr.h:279
Header file for the IsHermitian type trait.
ResultType_< MT1 > RT1
Result type of the left-hand side sparse matrix expression.
Definition: TSMatTSMatAddExpr.h:109
Header file for the IsResizable type trait.
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.