TSMatTSMatSubExpr.h
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1 //=================================================================================================
33 //=================================================================================================
34 
35 #ifndef _BLAZE_MATH_EXPRESSIONS_TSMATTSMATSUBEXPR_H_
36 #define _BLAZE_MATH_EXPRESSIONS_TSMATTSMATSUBEXPR_H_
37 
38 
39 //*************************************************************************************************
40 // Includes
41 //*************************************************************************************************
42 
43 #include <blaze/math/Aliases.h>
49 #include <blaze/math/Exception.h>
75 #include <blaze/util/Assert.h>
76 #include <blaze/util/DisableIf.h>
77 #include <blaze/util/EnableIf.h>
80 #include <blaze/util/mpl/And.h>
81 #include <blaze/util/mpl/If.h>
82 #include <blaze/util/mpl/Max.h>
83 #include <blaze/util/Types.h>
85 
86 
87 namespace blaze {
88 
89 //=================================================================================================
90 //
91 // CLASS TSMATTSMATSUBEXPR
92 //
93 //=================================================================================================
94 
95 //*************************************************************************************************
102 template< typename MT1 // Type of the left-hand side sparse matrix
103  , typename MT2 > // Type of the right-hand side sparse matrix
104 class TSMatTSMatSubExpr : public SparseMatrix< TSMatTSMatSubExpr<MT1,MT2>, true >
105  , private MatMatSubExpr
106  , private Computation
107 {
108  private:
109  //**Type definitions****************************************************************************
116  //**********************************************************************************************
117 
118  //**Return type evaluation**********************************************************************
120 
125  enum : bool { returnExpr = !IsTemporary<RN1>::value && !IsTemporary<RN2>::value };
126 
129  //**********************************************************************************************
130 
131  //**Serial evaluation strategy******************************************************************
133 
138  template< typename T1, typename T2, typename T3 >
139  struct UseSymmetricKernel {
141  enum : bool { value = IsSymmetric<T2>::value && IsSymmetric<T3>::value };
142  };
144  //**********************************************************************************************
145 
146  //**Parallel evaluation strategy****************************************************************
148 
153  template< typename MT >
154  struct UseSMPAssign {
155  enum : bool { value = MT::smpAssignable };
156  };
158  //**********************************************************************************************
159 
160  public:
161  //**Type definitions****************************************************************************
167 
170 
172  typedef const ResultType CompositeType;
173 
175  typedef If_< IsExpression<MT1>, const MT1, const MT1& > LeftOperand;
176 
178  typedef If_< IsExpression<MT2>, const MT2, const MT2& > RightOperand;
179  //**********************************************************************************************
180 
181  //**Compilation flags***************************************************************************
183  enum : bool { smpAssignable = false };
184  //**********************************************************************************************
185 
186  //**Constructor*********************************************************************************
192  explicit inline TSMatTSMatSubExpr( const MT1& lhs, const MT2& rhs ) noexcept
193  : lhs_( lhs ) // Left-hand side sparse matrix of the subtraction expression
194  , rhs_( rhs ) // Right-hand side sparse matrix of the subtraction expression
195  {
196  BLAZE_INTERNAL_ASSERT( lhs.rows() == rhs.rows() , "Invalid number of rows" );
197  BLAZE_INTERNAL_ASSERT( lhs.columns() == rhs.columns(), "Invalid number of columns" );
198  }
199  //**********************************************************************************************
200 
201  //**Access operator*****************************************************************************
208  inline ReturnType operator()( size_t i, size_t j ) const {
209  BLAZE_INTERNAL_ASSERT( i < lhs_.rows() , "Invalid row access index" );
210  BLAZE_INTERNAL_ASSERT( j < lhs_.columns(), "Invalid column access index" );
211  return lhs_(i,j) - rhs_(i,j);
212  }
213  //**********************************************************************************************
214 
215  //**At function*********************************************************************************
223  inline ReturnType at( size_t i, size_t j ) const {
224  if( i >= lhs_.rows() ) {
225  BLAZE_THROW_OUT_OF_RANGE( "Invalid row access index" );
226  }
227  if( j >= lhs_.columns() ) {
228  BLAZE_THROW_OUT_OF_RANGE( "Invalid column access index" );
229  }
230  return (*this)(i,j);
231  }
232  //**********************************************************************************************
233 
234  //**Rows function*******************************************************************************
239  inline size_t rows() const noexcept {
240  return lhs_.rows();
241  }
242  //**********************************************************************************************
243 
244  //**Columns function****************************************************************************
249  inline size_t columns() const noexcept {
250  return lhs_.columns();
251  }
252  //**********************************************************************************************
253 
254  //**NonZeros function***************************************************************************
259  inline size_t nonZeros() const {
260  return lhs_.nonZeros() + rhs_.nonZeros();
261  }
262  //**********************************************************************************************
263 
264  //**NonZeros function***************************************************************************
270  inline size_t nonZeros( size_t i ) const {
271  return lhs_.nonZeros(i) + rhs_.nonZeros(i);
272  }
273  //**********************************************************************************************
274 
275  //**Left operand access*************************************************************************
280  inline LeftOperand leftOperand() const noexcept {
281  return lhs_;
282  }
283  //**********************************************************************************************
284 
285  //**Right operand access************************************************************************
290  inline RightOperand rightOperand() const noexcept {
291  return rhs_;
292  }
293  //**********************************************************************************************
294 
295  //**********************************************************************************************
301  template< typename T >
302  inline bool canAlias( const T* alias ) const noexcept {
303  return ( lhs_.canAlias( alias ) || rhs_.canAlias( alias ) );
304  }
305  //**********************************************************************************************
306 
307  //**********************************************************************************************
313  template< typename T >
314  inline bool isAliased( const T* alias ) const noexcept {
315  return ( lhs_.isAliased( alias ) || rhs_.isAliased( alias ) );
316  }
317  //**********************************************************************************************
318 
319  private:
320  //**Member variables****************************************************************************
321  LeftOperand lhs_;
322  RightOperand rhs_;
323  //**********************************************************************************************
324 
325  //**Assignment to dense matrices****************************************************************
338  template< typename MT // Type of the target dense matrix
339  , bool SO > // Storage order of the target dense matrix
340  friend inline void assign( DenseMatrix<MT,SO>& lhs, const TSMatTSMatSubExpr& rhs )
341  {
343 
344  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
345  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
346 
347  typedef ConstIterator_< RemoveReference_<CT2> > RightIterator;
348 
349  assign( ~lhs, rhs.lhs_ );
350 
351  if( !IsResizable< ElementType_<MT> >::value ) {
352  subAssign( ~lhs, rhs.rhs_ );
353  }
354  else
355  {
356  CT2 B( serial( rhs.rhs_ ) ); // Evaluation of the right-hand side sparse matrix operand
357 
358  BLAZE_INTERNAL_ASSERT( B.rows() == rhs.rhs_.rows() , "Invalid number of rows" );
359  BLAZE_INTERNAL_ASSERT( B.columns() == rhs.rhs_.columns(), "Invalid number of columns" );
360  BLAZE_INTERNAL_ASSERT( B.rows() == (~lhs).rows() , "Invalid number of rows" );
361  BLAZE_INTERNAL_ASSERT( B.columns() == (~lhs).columns() , "Invalid number of columns" );
362 
363  for( size_t j=0UL; j<(~lhs).columns(); ++j ) {
364  const RightIterator end( B.end(j) );
365  for( RightIterator element=B.begin(j); element!=end; ++element ) {
366  if( isDefault( (~lhs)(element->index(),j) ) )
367  (~lhs)(element->index(),j) = -element->value();
368  else
369  (~lhs)(element->index(),j) -= element->value();
370  }
371  }
372  }
373  }
375  //**********************************************************************************************
376 
377  //**Assignment to row-major sparse matrices*****************************************************
390  template< typename MT > // Type of the target sparse matrix
392  assign( SparseMatrix<MT,false>& lhs, const TSMatTSMatSubExpr& rhs )
393  {
395 
397 
398  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
399  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
400 
401  typedef ConstIterator_< RemoveReference_<CT1> > LeftIterator;
402  typedef ConstIterator_< RemoveReference_<CT2> > RightIterator;
403 
404  CT1 A( serial( rhs.lhs_ ) ); // Evaluation of the left-hand side sparse matrix operand
405  CT2 B( serial( rhs.rhs_ ) ); // Evaluation of the right-hand side sparse matrix operand
406 
407  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.lhs_.rows() , "Invalid number of rows" );
408  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.lhs_.columns(), "Invalid number of columns" );
409  BLAZE_INTERNAL_ASSERT( B.rows() == rhs.rhs_.rows() , "Invalid number of rows" );
410  BLAZE_INTERNAL_ASSERT( B.columns() == rhs.rhs_.columns(), "Invalid number of columns" );
411  BLAZE_INTERNAL_ASSERT( A.rows() == (~lhs).rows() , "Invalid number of rows" );
412  BLAZE_INTERNAL_ASSERT( A.columns() == (~lhs).columns() , "Invalid number of columns" );
413 
414  const size_t m( rhs.rows() );
415  const size_t n( rhs.columns() );
416 
417  // Counting the number of elements per column
418  std::vector<size_t> nonzeros( m, 0UL );
419  for( size_t j=0UL; j<n; ++j )
420  {
421  const LeftIterator lend( A.end(j) );
422  const RightIterator rend( B.end(j) );
423 
424  LeftIterator l( A.begin(j) );
425  RightIterator r( B.begin(j) );
426 
427  while( l != lend && r != rend )
428  {
429  if( l->index() < r->index() ) {
430  ++nonzeros[l->index()];
431  ++l;
432  }
433  else if( l->index() > r->index() ) {
434  ++nonzeros[r->index()];
435  ++r;
436  }
437  else {
438  ++nonzeros[l->index()];
439  ++l;
440  ++r;
441  }
442  }
443 
444  while( l != lend ) {
445  ++nonzeros[l->index()];
446  ++l;
447  }
448 
449  while( r != rend ) {
450  ++nonzeros[r->index()];
451  ++r;
452  }
453  }
454 
455  // Resizing the left-hand side sparse matrix
456  for( size_t i=0UL; i<m; ++i ) {
457  (~lhs).reserve( i, nonzeros[i] );
458  }
459 
460  // Performing the matrix subtraction
461  for( size_t j=0UL; j<n; ++j )
462  {
463  const LeftIterator lend( A.end(j) );
464  const RightIterator rend( B.end(j) );
465 
466  LeftIterator l( A.begin(j) );
467  RightIterator r( B.begin(j) );
468 
469  while( l != lend && r != rend )
470  {
471  if( l->index() < r->index() ) {
472  (~lhs).append( l->index(), j, l->value() );
473  ++l;
474  }
475  else if( l->index() > r->index() ) {
476  (~lhs).append( r->index(), j, -r->value() );
477  ++r;
478  }
479  else {
480  (~lhs).append( l->index(), j, l->value()-r->value() );
481  ++l;
482  ++r;
483  }
484  }
485 
486  while( l != lend ) {
487  (~lhs).append( l->index(), j, l->value() );
488  ++l;
489  }
490 
491  while( r != rend ) {
492  (~lhs).append( r->index(), j, -r->value() );
493  ++r;
494  }
495  }
496  }
498  //**********************************************************************************************
499 
500  //**Assignment to row-major sparse matrices*****************************************************
513  template< typename MT > // Type of the target sparse matrix
514  friend inline EnableIf_< UseSymmetricKernel<MT,MT1,MT2> >
515  assign( SparseMatrix<MT,false>& lhs, const TSMatTSMatSubExpr& rhs )
516  {
518 
520 
521  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
522  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
523 
524  assign( ~lhs, trans( rhs.lhs_ ) - trans( rhs.rhs_ ) );
525  }
527  //**********************************************************************************************
528 
529  //**Assignment to column-major sparse matrices**************************************************
542  template< typename MT > // Type of the target sparse matrix
543  friend inline void assign( SparseMatrix<MT,true>& lhs, const TSMatTSMatSubExpr& rhs )
544  {
546 
547  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
548  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
549 
550  typedef ConstIterator_< RemoveReference_<CT1> > LeftIterator;
551  typedef ConstIterator_< RemoveReference_<CT2> > RightIterator;
552 
553  CT1 A( serial( rhs.lhs_ ) ); // Evaluation of the left-hand side sparse matrix operand
554  CT2 B( serial( rhs.rhs_ ) ); // Evaluation of the right-hand side sparse matrix operand
555 
556  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.lhs_.rows() , "Invalid number of rows" );
557  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.lhs_.columns(), "Invalid number of columns" );
558  BLAZE_INTERNAL_ASSERT( B.rows() == rhs.rhs_.rows() , "Invalid number of rows" );
559  BLAZE_INTERNAL_ASSERT( B.columns() == rhs.rhs_.columns(), "Invalid number of columns" );
560  BLAZE_INTERNAL_ASSERT( A.rows() == (~lhs).rows() , "Invalid number of rows" );
561  BLAZE_INTERNAL_ASSERT( A.columns() == (~lhs).columns() , "Invalid number of columns" );
562 
563  // Final memory allocation (based on the evaluated operands)
564  (~lhs).reserve( A.nonZeros() + B.nonZeros() );
565 
566  // Performing the matrix subtraction
567  for( size_t j=0UL; j<(~lhs).columns(); ++j )
568  {
569  const LeftIterator lend( A.end(j) );
570  const RightIterator rend( B.end(j) );
571 
572  LeftIterator l( A.begin(j) );
573  RightIterator r( B.begin(j) );
574 
575  while( l != lend && r != rend )
576  {
577  if( l->index() < r->index() ) {
578  (~lhs).append( l->index(), j, l->value() );
579  ++l;
580  }
581  else if( l->index() > r->index() ) {
582  (~lhs).append( r->index(), j, -r->value() );
583  ++r;
584  }
585  else {
586  (~lhs).append( l->index(), j, l->value()-r->value() );
587  ++l;
588  ++r;
589  }
590  }
591 
592  while( l != lend ) {
593  (~lhs).append( l->index(), j, l->value() );
594  ++l;
595  }
596 
597  while( r != rend ) {
598  (~lhs).append( r->index(), j, -r->value() );
599  ++r;
600  }
601 
602  (~lhs).finalize( j );
603  }
604  }
606  //**********************************************************************************************
607 
608  //**Addition assignment to dense matrices*******************************************************
621  template< typename MT // Type of the target dense matrix
622  , bool SO > // Storage order of the target dense matrix
623  friend inline void addAssign( DenseMatrix<MT,SO>& lhs, const TSMatTSMatSubExpr& rhs )
624  {
626 
627  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
628  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
629 
630  addAssign( ~lhs, rhs.lhs_ );
631  subAssign( ~lhs, rhs.rhs_ );
632  }
634  //**********************************************************************************************
635 
636  //**Addition assignment to sparse matrices******************************************************
637  // No special implementation for the addition assignment to sparse matrices.
638  //**********************************************************************************************
639 
640  //**Subtraction assignment to dense matrices****************************************************
653  template< typename MT // Type of the target dense matrix
654  , bool SO > // Storage order of the target dense matrix
655  friend inline void subAssign( DenseMatrix<MT,SO>& lhs, const TSMatTSMatSubExpr& rhs )
656  {
658 
659  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
660  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
661 
662  subAssign( ~lhs, rhs.lhs_ );
663  addAssign( ~lhs, rhs.rhs_ );
664  }
666  //**********************************************************************************************
667 
668  //**Subtraction assignment to sparse matrices***************************************************
669  // No special implementation for the subtraction assignment to sparse matrices.
670  //**********************************************************************************************
671 
672  //**Multiplication assignment to dense matrices*************************************************
673  // No special implementation for the multiplication assignment to dense matrices.
674  //**********************************************************************************************
675 
676  //**Multiplication assignment to sparse matrices************************************************
677  // No special implementation for the multiplication assignment to sparse matrices.
678  //**********************************************************************************************
679 
680  //**SMP assignment to dense matrices************************************************************
681  // No special implementation for the SMP assignment to dense matrices.
682  //**********************************************************************************************
683 
684  //**SMP assignment to sparse matrices***********************************************************
685  // No special implementation for the SMP assignment to sparse matrices.
686  //**********************************************************************************************
687 
688  //**SMP addition assignment to dense matrices***************************************************
703  template< typename MT // Type of the target dense matrix
704  , bool SO > // Storage order of the target dense matrix
705  friend inline EnableIf_< UseSMPAssign<MT> >
706  smpAddAssign( DenseMatrix<MT,SO>& lhs, const TSMatTSMatSubExpr& rhs )
707  {
709 
710  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
711  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
712 
713  smpAddAssign( ~lhs, rhs.lhs_ );
714  smpSubAssign( ~lhs, rhs.rhs_ );
715  }
717  //**********************************************************************************************
718 
719  //**SMP addition assignment to sparse matrices**************************************************
720  // No special implementation for the SMP addition assignment to sparse matrices.
721  //**********************************************************************************************
722 
723  //**SMP subtraction 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> >
741  smpSubAssign( DenseMatrix<MT,SO>& lhs, const TSMatTSMatSubExpr& rhs )
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  smpSubAssign( ~lhs, rhs.lhs_ );
749  smpAddAssign( ~lhs, rhs.rhs_ );
750  }
752  //**********************************************************************************************
753 
754  //**SMP subtraction assignment to sparse matrices***********************************************
755  // No special implementation for the SMP subtraction assignment to sparse matrices.
756  //**********************************************************************************************
757 
758  //**SMP multiplication assignment to dense matrices*********************************************
759  // No special implementation for the SMP multiplication assignment to dense matrices.
760  //**********************************************************************************************
761 
762  //**SMP multiplication assignment to sparse matrices********************************************
763  // No special implementation for the SMP multiplication assignment to sparse matrices.
764  //**********************************************************************************************
765 
766  //**Compile time checks*************************************************************************
774  //**********************************************************************************************
775 };
776 //*************************************************************************************************
777 
778 
779 
780 
781 //=================================================================================================
782 //
783 // GLOBAL BINARY ARITHMETIC OPERATORS
784 //
785 //=================================================================================================
786 
787 //*************************************************************************************************
814 template< typename T1 // Type of the left-hand side sparse matrix
815  , typename T2 > // Type of the right-hand side sparse matrix
816 inline const TSMatTSMatSubExpr<T1,T2>
818 {
820 
821  if( (~lhs).rows() != (~rhs).rows() || (~lhs).columns() != (~rhs).columns() ) {
822  BLAZE_THROW_INVALID_ARGUMENT( "Matrix sizes do not match" );
823  }
824 
825  return TSMatTSMatSubExpr<T1,T2>( ~lhs, ~rhs );
826 }
827 //*************************************************************************************************
828 
829 
830 
831 
832 //=================================================================================================
833 //
834 // ROWS SPECIALIZATIONS
835 //
836 //=================================================================================================
837 
838 //*************************************************************************************************
840 template< typename MT1, typename MT2 >
841 struct Rows< TSMatTSMatSubExpr<MT1,MT2> >
842  : public Max< Rows<MT1>, Rows<MT2> >
843 {};
845 //*************************************************************************************************
846 
847 
848 
849 
850 //=================================================================================================
851 //
852 // COLUMNS SPECIALIZATIONS
853 //
854 //=================================================================================================
855 
856 //*************************************************************************************************
858 template< typename MT1, typename MT2 >
859 struct Columns< TSMatTSMatSubExpr<MT1,MT2> >
860  : public Max< Columns<MT1>, Columns<MT2> >
861 {};
863 //*************************************************************************************************
864 
865 
866 
867 
868 //=================================================================================================
869 //
870 // ISSYMMETRIC SPECIALIZATIONS
871 //
872 //=================================================================================================
873 
874 //*************************************************************************************************
876 template< typename MT1, typename MT2 >
877 struct IsSymmetric< TSMatTSMatSubExpr<MT1,MT2> >
878  : public BoolConstant< IsSymmetric<MT1>::value && IsSymmetric<MT2>::value >
879 {};
881 //*************************************************************************************************
882 
883 
884 
885 
886 //=================================================================================================
887 //
888 // ISHERMITIAN SPECIALIZATIONS
889 //
890 //=================================================================================================
891 
892 //*************************************************************************************************
894 template< typename MT1, typename MT2 >
895 struct IsHermitian< TSMatTSMatSubExpr<MT1,MT2> >
896  : public BoolConstant< IsHermitian<MT1>::value && IsHermitian<MT2>::value >
897 {};
899 //*************************************************************************************************
900 
901 
902 
903 
904 //=================================================================================================
905 //
906 // ISLOWER SPECIALIZATIONS
907 //
908 //=================================================================================================
909 
910 //*************************************************************************************************
912 template< typename MT1, typename MT2 >
913 struct IsLower< TSMatTSMatSubExpr<MT1,MT2> >
914  : public BoolConstant< And< IsLower<MT1>, IsLower<MT2> >::value >
915 {};
917 //*************************************************************************************************
918 
919 
920 
921 
922 //=================================================================================================
923 //
924 // ISUNILOWER SPECIALIZATIONS
925 //
926 //=================================================================================================
927 
928 //*************************************************************************************************
930 template< typename MT1, typename MT2 >
931 struct IsUniLower< TSMatTSMatSubExpr<MT1,MT2> >
932  : public BoolConstant< And< IsUniLower<MT1>, IsStrictlyLower<MT2> >::value >
933 {};
935 //*************************************************************************************************
936 
937 
938 
939 
940 //=================================================================================================
941 //
942 // ISSTRICTLYLOWER SPECIALIZATIONS
943 //
944 //=================================================================================================
945 
946 //*************************************************************************************************
948 template< typename MT1, typename MT2 >
949 struct IsStrictlyLower< TSMatTSMatSubExpr<MT1,MT2> >
950  : public BoolConstant< And< IsStrictlyLower<MT1>, IsStrictlyLower<MT2> >::value >
951 {};
953 //*************************************************************************************************
954 
955 
956 
957 
958 //=================================================================================================
959 //
960 // ISUPPER SPECIALIZATIONS
961 //
962 //=================================================================================================
963 
964 //*************************************************************************************************
966 template< typename MT1, typename MT2 >
967 struct IsUpper< TSMatTSMatSubExpr<MT1,MT2> >
968  : public BoolConstant< And< IsUpper<MT1>, IsUpper<MT2> >::value >
969 {};
971 //*************************************************************************************************
972 
973 
974 
975 
976 //=================================================================================================
977 //
978 // ISUNIUPPER SPECIALIZATIONS
979 //
980 //=================================================================================================
981 
982 //*************************************************************************************************
984 template< typename MT1, typename MT2 >
985 struct IsUniUpper< TSMatTSMatSubExpr<MT1,MT2> >
986  : public BoolConstant< And< IsUniUpper<MT1>, IsStrictlyUpper<MT2> >::value >
987 {};
989 //*************************************************************************************************
990 
991 
992 
993 
994 //=================================================================================================
995 //
996 // ISSTRICTLYUPPER SPECIALIZATIONS
997 //
998 //=================================================================================================
999 
1000 //*************************************************************************************************
1002 template< typename MT1, typename MT2 >
1003 struct IsStrictlyUpper< TSMatTSMatSubExpr<MT1,MT2> >
1004  : public BoolConstant< And< IsStrictlyUpper<MT1>, IsStrictlyUpper<MT2> >::value >
1005 {};
1007 //*************************************************************************************************
1008 
1009 
1010 
1011 
1012 //=================================================================================================
1013 //
1014 // EXPRESSION TRAIT SPECIALIZATIONS
1015 //
1016 //=================================================================================================
1017 
1018 //*************************************************************************************************
1020 template< typename MT1, typename MT2, bool AF >
1021 struct SubmatrixExprTrait< TSMatTSMatSubExpr<MT1,MT2>, AF >
1022 {
1023  public:
1024  //**********************************************************************************************
1025  using Type = SubExprTrait_< SubmatrixExprTrait_<const MT1,AF>
1026  , SubmatrixExprTrait_<const MT2,AF> >;
1027  //**********************************************************************************************
1028 };
1030 //*************************************************************************************************
1031 
1032 
1033 //*************************************************************************************************
1035 template< typename MT1, typename MT2 >
1036 struct RowExprTrait< TSMatTSMatSubExpr<MT1,MT2> >
1037 {
1038  public:
1039  //**********************************************************************************************
1040  using Type = SubExprTrait_< RowExprTrait_<const MT1>
1041  , RowExprTrait_<const MT2> >;
1042  //**********************************************************************************************
1043 };
1045 //*************************************************************************************************
1046 
1047 
1048 //*************************************************************************************************
1050 template< typename MT1, typename MT2 >
1051 struct ColumnExprTrait< TSMatTSMatSubExpr<MT1,MT2> >
1052 {
1053  public:
1054  //**********************************************************************************************
1055  using Type = SubExprTrait_< ColumnExprTrait_<const MT1>
1056  , ColumnExprTrait_<const MT2> >;
1057  //**********************************************************************************************
1058 };
1060 //*************************************************************************************************
1061 
1062 } // namespace blaze
1063 
1064 #endif
Constraint on the data type.
#define BLAZE_THROW_INVALID_ARGUMENT(MESSAGE)
Macro for the emission of a std::invalid_argument exception.This macro encapsulates the default way o...
Definition: Exception.h:235
Header file for auxiliary alias declarations.
Header file for the Max class template.
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.
Header file for the subtraction trait.
Header file for basic type definitions.
TSMatTSMatSubExpr< MT1, MT2 > This
Type of this TSMatTSMatSubExpr instance.
Definition: TSMatTSMatSubExpr.h:162
ReturnType_< MT2 > RN2
Return type of the right-hand side sparse matrix expression.
Definition: TSMatTSMatSubExpr.h:113
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.
const ResultType CompositeType
Data type for composite expression templates.
Definition: TSMatTSMatSubExpr.h:172
Header file for the ColumnExprTrait class template.
ResultType_< MT1 > RT1
Result type of the left-hand side sparse matrix expression.
Definition: TSMatTSMatSubExpr.h:110
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: TSMatTSMatSubExpr.h:223
typename DisableIf< Condition, T >::Type DisableIf_
Auxiliary type for the DisableIf class template.The DisableIf_ alias declaration provides a convenien...
Definition: DisableIf.h:223
Header file for the And 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:723
Header file for the Computation base class.
const DenseIterator< Type, AF > operator-(const DenseIterator< Type, AF > &it, ptrdiff_t inc) noexcept
Subtraction between a DenseIterator and an integral value.
Definition: DenseIterator.h:731
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: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:70
Base class for sparse matrices.The SparseMatrix class is a base class for all sparse matrix classes...
Definition: Forward.h:109
bool isDefault(const DiagonalProxy< MT > &proxy)
Returns whether the represented element is in default state.
Definition: DiagonalProxy.h:573
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
LeftOperand lhs_
Left-hand side sparse matrix of the subtraction expression.
Definition: TSMatTSMatSubExpr.h:321
typename T::ReturnType ReturnType_
Alias declaration for nested ReturnType type definitions.The ReturnType_ alias declaration provides a...
Definition: Aliases.h:343
Header file for the SparseMatrix base class.
typename SubExprTrait< T1, T2 >::Type SubExprTrait_
Auxiliary alias declaration for the SubExprTrait class template.The SubExprTrait_ alias declaration p...
Definition: SubExprTrait.h:220
Constraint on the data type.
const IfTrue_< returnExpr, ExprReturnType, ElementType > ReturnType
Return type for expression template evaluations.
Definition: TSMatTSMatSubExpr.h:169
typename T::CompositeType CompositeType_
Alias declaration for nested CompositeType type definitions.The CompositeType_ alias declaration prov...
Definition: Aliases.h:83
size_t nonZeros() const
Returns the number of non-zero elements in the sparse matrix.
Definition: TSMatTSMatSubExpr.h:259
LeftOperand leftOperand() const noexcept
Returns the left-hand side transpose sparse matrix operand.
Definition: TSMatTSMatSubExpr.h:280
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.
Namespace of the Blaze C++ math library.
Definition: Blaze.h:57
SubExprTrait_< RN1, RN2 > ExprReturnType
Expression return type for the subscript operator.
Definition: TSMatTSMatSubExpr.h:128
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 canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: TSMatTSMatSubExpr.h:302
If_< IsExpression< MT2 >, const MT2, const MT2 & > RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: TSMatTSMatSubExpr.h:178
TSMatTSMatSubExpr(const MT1 &lhs, const MT2 &rhs) noexcept
Constructor for the TSMatTSMatSubExpr class.
Definition: TSMatTSMatSubExpr.h:192
#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
Header file for the MatMatSubExpr base class.
Header file for the IsLower type trait.
BLAZE_ALWAYS_INLINE size_t columns(const Matrix< MT, SO > &matrix) noexcept
Returns the current number of columns of the matrix.
Definition: Matrix.h:330
SubTrait_< RT1, RT2 > ResultType
Result type for expression template evaluations.
Definition: TSMatTSMatSubExpr.h:163
Compile time check for symmetric matrices.This type trait tests whether or not the given template par...
Definition: IsSymmetric.h:85
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: TSMatTSMatSubExpr.h:249
Header file for the exception macros of the math module.
RightOperand rhs_
Right-hand side sparse matrix of the subtraction expression.
Definition: TSMatTSMatSubExpr.h:322
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:254
Header file for the RowExprTrait class template.
Header file for all forward declarations for expression class templates.
RightOperand rightOperand() const noexcept
Returns the right-hand side transpose sparse matrix operand.
Definition: TSMatTSMatSubExpr.h:290
Header file for the EnableIf class template.
Header file for the IsStrictlyLower type trait.
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: TSMatTSMatSubExpr.h:314
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: TSMatTSMatSubExpr.h:239
Compile time check for resizable data types.This type trait tests whether the given data type is a re...
Definition: IsResizable.h:75
size_t nonZeros(size_t i) const
Returns the number of non-zero elements in the specified row.
Definition: TSMatTSMatSubExpr.h:270
#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
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
Header file for run time assertion macros.
CompositeType_< MT2 > CT2
Composite type of the right-hand side sparse matrix expression.
Definition: TSMatTSMatSubExpr.h:115
Expression object for transpose sparse matrix-transpose sparse matrix subtractions.The TSMatTSMatSubExpr class represents the compile time expression for subtractions between two column-major sparse matrices.
Definition: Forward.h:149
If_< IsExpression< MT1 >, const MT1, const MT1 & > LeftOperand
Composite type of the left-hand side sparse matrix expression.
Definition: TSMatTSMatSubExpr.h:175
CompositeType_< MT1 > CT1
Composite type of the left-hand side sparse matrix expression.
Definition: TSMatTSMatSubExpr.h:114
ElementType_< ResultType > ElementType
Resulting element type.
Definition: TSMatTSMatSubExpr.h:166
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
ReturnType_< MT1 > RN1
Return type of the left-hand side sparse matrix expression.
Definition: TSMatTSMatSubExpr.h:112
Header file for the isDefault shim.
Constraint on the data type.
OppositeType_< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: TSMatTSMatSubExpr.h:164
Constraints on the storage order of matrix types.
IntegralConstant< bool, B > BoolConstant
Generic wrapper for a compile time constant boolean value.The BoolConstant class template represents ...
Definition: IntegralConstant.h:100
Header file for the RemoveReference type trait.
typename T::OppositeType OppositeType_
Alias declaration for nested OppositeType type definitions.The OppositeType_ alias declaration provid...
Definition: Aliases.h:243
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: TSMatTSMatSubExpr.h:208
BLAZE_ALWAYS_INLINE size_t rows(const Matrix< MT, SO > &matrix) noexcept
Returns the current number of rows of the matrix.
Definition: Matrix.h:314
typename T::ConstIterator ConstIterator_
Alias declaration for nested ConstIterator type definitions.The ConstIterator_ alias declaration prov...
Definition: Aliases.h:103
ResultType_< MT2 > RT2
Result type of the right-hand side sparse matrix expression.
Definition: TSMatTSMatSubExpr.h:111
const DMatTransExpr< MT,!SO > trans(const DenseMatrix< MT, SO > &dm)
Calculation of the transpose of the given dense matrix.
Definition: DMatTransExpr.h:950
Header file for the IsComputation type trait class.
typename SubTrait< T1, T2 >::Type SubTrait_
Auxiliary alias declaration for the SubTrait class template.The SubTrait_ alias declaration provides ...
Definition: SubTrait.h:245
#define BLAZE_FUNCTION_TRACE
Function trace macro.This macro can be used to reliably trace function calls. In case function tracin...
Definition: FunctionTrace.h:157
Header file for the IntegralConstant class template.
#define BLAZE_CONSTRAINT_MUST_FORM_VALID_MATMATSUBEXPR(T1, T2)
Constraint on the data type.In case the given data types T1 and T2 do not form a valid matrix/matrix ...
Definition: MatMatSubExpr.h:109
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 IsResizable type trait.
Header file for the SubExprTrait class template.
#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
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: TSMatTSMatSubExpr.h:165
#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 FunctionTrace class.