SMatTSMatSubExpr.h
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1 //=================================================================================================
33 //=================================================================================================
34 
35 #ifndef _BLAZE_MATH_EXPRESSIONS_SMATTSMATSUBEXPR_H_
36 #define _BLAZE_MATH_EXPRESSIONS_SMATTSMATSUBEXPR_H_
37 
38 
39 //*************************************************************************************************
40 // Includes
41 //*************************************************************************************************
42 
43 #include <blaze/math/Aliases.h>
50 #include <blaze/math/Exception.h>
76 #include <blaze/util/Assert.h>
77 #include <blaze/util/DisableIf.h>
78 #include <blaze/util/EnableIf.h>
81 #include <blaze/util/mpl/And.h>
82 #include <blaze/util/mpl/If.h>
83 #include <blaze/util/mpl/Max.h>
84 #include <blaze/util/Types.h>
86 
87 
88 namespace blaze {
89 
90 //=================================================================================================
91 //
92 // CLASS SMATTSMATSUBEXPR
93 //
94 //=================================================================================================
95 
96 //*************************************************************************************************
103 template< typename MT1 // Type of the left-hand side sparse matrix
104  , typename MT2 > // Type of the right-hand side sparse matrix
105 class SMatTSMatSubExpr : public SparseMatrix< SMatTSMatSubExpr<MT1,MT2>, false >
106  , private MatMatSubExpr
107  , private Computation
108 {
109  private:
110  //**Type definitions****************************************************************************
117  //**********************************************************************************************
118 
119  //**Return type evaluation**********************************************************************
121 
126  enum : bool { returnExpr = !IsTemporary<RN1>::value && !IsTemporary<RN2>::value };
127 
130  //**********************************************************************************************
131 
132  //**Serial evaluation strategy******************************************************************
134 
140  template< typename T1, typename T2 >
141  struct UseSymmetricKernel {
143  enum : bool { value = IsSymmetric<T2>::value };
144  };
146  //**********************************************************************************************
147 
148  //**Parallel evaluation strategy****************************************************************
150 
155  template< typename MT >
156  struct UseSMPAssign {
157  enum : bool { value = MT::smpAssignable };
158  };
160  //**********************************************************************************************
161 
162  public:
163  //**Type definitions****************************************************************************
169 
172 
174  typedef const ResultType CompositeType;
175 
177  typedef If_< IsExpression<MT1>, const MT1, const MT1& > LeftOperand;
178 
180  typedef If_< IsExpression<MT2>, const MT2, const MT2& > RightOperand;
181  //**********************************************************************************************
182 
183  //**Compilation flags***************************************************************************
185  enum : bool { smpAssignable = false };
186  //**********************************************************************************************
187 
188  //**Constructor*********************************************************************************
194  explicit inline SMatTSMatSubExpr( const MT1& lhs, const MT2& rhs ) noexcept
195  : lhs_( lhs ) // Left-hand side sparse matrix of the subtraction expression
196  , rhs_( rhs ) // Right-hand side sparse matrix of the subtraction expression
197  {
198  BLAZE_INTERNAL_ASSERT( lhs.rows() == rhs.rows() , "Invalid number of rows" );
199  BLAZE_INTERNAL_ASSERT( lhs.columns() == rhs.columns(), "Invalid number of columns" );
200  }
201  //**********************************************************************************************
202 
203  //**Access operator*****************************************************************************
210  inline ReturnType operator()( size_t i, size_t j ) const {
211  BLAZE_INTERNAL_ASSERT( i < lhs_.rows() , "Invalid row access index" );
212  BLAZE_INTERNAL_ASSERT( j < lhs_.columns(), "Invalid column access index" );
213  return lhs_(i,j) - rhs_(i,j);
214  }
215  //**********************************************************************************************
216 
217  //**At function*********************************************************************************
225  inline ReturnType at( size_t i, size_t j ) const {
226  if( i >= lhs_.rows() ) {
227  BLAZE_THROW_OUT_OF_RANGE( "Invalid row access index" );
228  }
229  if( j >= lhs_.columns() ) {
230  BLAZE_THROW_OUT_OF_RANGE( "Invalid column access index" );
231  }
232  return (*this)(i,j);
233  }
234  //**********************************************************************************************
235 
236  //**Rows function*******************************************************************************
241  inline size_t rows() const noexcept {
242  return lhs_.rows();
243  }
244  //**********************************************************************************************
245 
246  //**Columns function****************************************************************************
251  inline size_t columns() const noexcept {
252  return lhs_.columns();
253  }
254  //**********************************************************************************************
255 
256  //**NonZeros function***************************************************************************
261  inline size_t nonZeros() const {
262  return lhs_.nonZeros() + rhs_.nonZeros();
263  }
264  //**********************************************************************************************
265 
266  //**NonZeros function***************************************************************************
272  inline size_t nonZeros( size_t i ) const {
273  return lhs_.nonZeros(i) + rhs_.nonZeros(i);
274  }
275  //**********************************************************************************************
276 
277  //**Left operand access*************************************************************************
282  inline LeftOperand leftOperand() const noexcept {
283  return lhs_;
284  }
285  //**********************************************************************************************
286 
287  //**Right operand access************************************************************************
292  inline RightOperand rightOperand() const noexcept {
293  return rhs_;
294  }
295  //**********************************************************************************************
296 
297  //**********************************************************************************************
303  template< typename T >
304  inline bool canAlias( const T* alias ) const noexcept {
305  return ( lhs_.canAlias( alias ) || rhs_.canAlias( alias ) );
306  }
307  //**********************************************************************************************
308 
309  //**********************************************************************************************
315  template< typename T >
316  inline bool isAliased( const T* alias ) const noexcept {
317  return ( lhs_.isAliased( alias ) || rhs_.isAliased( alias ) );
318  }
319  //**********************************************************************************************
320 
321  private:
322  //**Member variables****************************************************************************
323  LeftOperand lhs_;
324  RightOperand rhs_;
325  //**********************************************************************************************
326 
327  //**Assignment to dense matrices****************************************************************
339  template< typename MT // Type of the target dense matrix
340  , bool SO > // Storage order of the target dense matrix
341  friend inline void assign( DenseMatrix<MT,SO>& lhs, const SMatTSMatSubExpr& rhs )
342  {
344 
345  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
346  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
347 
348  typedef ConstIterator_< RemoveReference_<CT2> > RightIterator;
349 
350  assign( ~lhs, rhs.lhs_ );
351 
352  if( !IsResizable< ElementType_<MT> >::value ) {
353  subAssign( ~lhs, rhs.rhs_ );
354  }
355  else
356  {
357  CT2 B( serial( rhs.rhs_ ) ); // Evaluation of the right-hand side sparse matrix operand
358 
359  BLAZE_INTERNAL_ASSERT( B.rows() == rhs.rhs_.rows() , "Invalid number of rows" );
360  BLAZE_INTERNAL_ASSERT( B.columns() == rhs.rhs_.columns(), "Invalid number of columns" );
361  BLAZE_INTERNAL_ASSERT( B.rows() == (~lhs).rows() , "Invalid number of rows" );
362  BLAZE_INTERNAL_ASSERT( B.columns() == (~lhs).columns() , "Invalid number of columns" );
363 
364  for( size_t j=0UL; j<(~lhs).columns(); ++j ) {
365  const RightIterator end( B.end(j) );
366  for( RightIterator element=B.begin(j); element!=end; ++element ) {
367  if( isDefault( (~lhs)(element->index(),j) ) )
368  (~lhs)(element->index(),j) = -element->value();
369  else
370  (~lhs)(element->index(),j) -= element->value();
371  }
372  }
373  }
374  }
376  //**********************************************************************************************
377 
378  //**Assignment to row-major sparse matrices*****************************************************
391  template< typename MT > // Type of the target sparse matrix
393  assign( SparseMatrix<MT,false>& lhs, const SMatTSMatSubExpr& rhs )
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  typedef ConstIterator_< RemoveReference_<CT1> > LeftIterator;
401  typedef ConstIterator_< OppositeType_<RT2> > RightIterator;
402 
403  // Evaluation of the left-hand side sparse matrix operand
404  CT1 A( serial( rhs.lhs_ ) );
405 
406  // Evaluation of the right-hand side sparse matrix operand
407  const OppositeType_<RT2> B( serial( rhs.rhs_ ) );
408 
409  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.lhs_.rows() , "Invalid number of rows" );
410  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.lhs_.columns(), "Invalid number of columns" );
411  BLAZE_INTERNAL_ASSERT( B.rows() == rhs.rhs_.rows() , "Invalid number of rows" );
412  BLAZE_INTERNAL_ASSERT( B.columns() == rhs.rhs_.columns(), "Invalid number of columns" );
413  BLAZE_INTERNAL_ASSERT( A.rows() == (~lhs).rows() , "Invalid number of rows" );
414  BLAZE_INTERNAL_ASSERT( A.columns() == (~lhs).columns() , "Invalid number of columns" );
415 
416  // Final memory allocation (based on the evaluated operands)
417  (~lhs).reserve( A.nonZeros() + B.nonZeros() );
418 
419  // Performing the matrix subtraction
420  for( size_t i=0UL; i<(~lhs).rows(); ++i )
421  {
422  const LeftIterator lend( A.end(i) );
423  const RightIterator rend( B.end(i) );
424 
425  LeftIterator l( A.begin(i) );
426  RightIterator r( B.begin(i) );
427 
428  while( l != lend && r != rend )
429  {
430  if( l->index() < r->index() ) {
431  (~lhs).append( i, l->index(), l->value() );
432  ++l;
433  }
434  else if( l->index() > r->index() ) {
435  (~lhs).append( i, r->index(), -r->value() );
436  ++r;
437  }
438  else {
439  (~lhs).append( i, l->index(), l->value()-r->value() );
440  ++l;
441  ++r;
442  }
443  }
444 
445  while( l != lend ) {
446  (~lhs).append( i, l->index(), l->value() );
447  ++l;
448  }
449 
450  while( r != rend ) {
451  (~lhs).append( i, r->index(), -r->value() );
452  ++r;
453  }
454 
455  (~lhs).finalize( i );
456  }
457  }
459  //**********************************************************************************************
460 
461  //**Assignment to row-major sparse matrices*****************************************************
474  template< typename MT > // Type of the target sparse matrix
475  friend inline EnableIf_< UseSymmetricKernel<MT,MT2> >
476  assign( SparseMatrix<MT,false>& lhs, const SMatTSMatSubExpr& rhs )
477  {
479 
480  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
481  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
482 
483  assign( ~lhs, rhs.lhs_ - trans( rhs.rhs_ ) );
484  }
486  //**********************************************************************************************
487 
488  //**Assignment to column-major sparse matrices**************************************************
501  template< typename MT > // Type of the target sparse matrix
502  friend inline DisableIf_< UseSymmetricKernel<MT,MT1> >
503  assign( SparseMatrix<MT,true>& lhs, const SMatTSMatSubExpr& rhs )
504  {
506 
508 
509  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
510  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
511 
512  typedef ConstIterator_< OppositeType_<RT1> > LeftIterator;
513  typedef ConstIterator_< RemoveReference_<CT2> > RightIterator;
514 
515  // Evaluation of the left-hand side sparse matrix operand
516  const OppositeType_<RT1> A( serial( rhs.lhs_ ) );
517 
518  // Evaluation of the right-hand side sparse matrix operand
519  CT2 B( serial( rhs.rhs_ ) );
520 
521  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.lhs_.rows() , "Invalid number of rows" );
522  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.lhs_.columns(), "Invalid number of columns" );
523  BLAZE_INTERNAL_ASSERT( B.rows() == rhs.rhs_.rows() , "Invalid number of rows" );
524  BLAZE_INTERNAL_ASSERT( B.columns() == rhs.rhs_.columns(), "Invalid number of columns" );
525  BLAZE_INTERNAL_ASSERT( A.rows() == (~lhs).rows() , "Invalid number of rows" );
526  BLAZE_INTERNAL_ASSERT( A.columns() == (~lhs).columns() , "Invalid number of columns" );
527 
528  // Final memory allocation (based on the evaluated operands)
529  (~lhs).reserve( A.nonZeros() + B.nonZeros() );
530 
531  // Performing the matrix subtraction
532  for( size_t j=0UL; j<(~lhs).columns(); ++j )
533  {
534  const LeftIterator lend( A.end(j) );
535  const RightIterator rend( B.end(j) );
536 
537  LeftIterator l( A.begin(j) );
538  RightIterator r( B.begin(j) );
539 
540  while( l != lend && r != rend )
541  {
542  if( l->index() < r->index() ) {
543  (~lhs).append( l->index(), j, l->value() );
544  ++l;
545  }
546  else if( l->index() > r->index() ) {
547  (~lhs).append( r->index(), j, -r->value() );
548  ++r;
549  }
550  else {
551  (~lhs).append( l->index(), j, l->value()-r->value() );
552  ++l;
553  ++r;
554  }
555  }
556 
557  while( l != lend ) {
558  (~lhs).append( l->index(), j, l->value() );
559  ++l;
560  }
561 
562  while( r != rend ) {
563  (~lhs).append( r->index(), j, -r->value() );
564  ++r;
565  }
566 
567  (~lhs).finalize( j );
568  }
569  }
571  //**********************************************************************************************
572 
573  //**Assignment to column-major sparse matrices**************************************************
586  template< typename MT > // Type of the target sparse matrix
587  friend inline EnableIf_< UseSymmetricKernel<MT,MT1> >
588  assign( SparseMatrix<MT,true>& lhs, const SMatTSMatSubExpr& rhs )
589  {
591 
593 
594  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
595  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
596 
597  assign( ~lhs, trans( rhs.lhs_ ) - rhs.rhs_ );
598  }
600  //**********************************************************************************************
601 
602  //**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 SMatTSMatSubExpr& 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  subAssign( ~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****************************************************
647  template< typename MT // Type of the target dense matrix
648  , bool SO > // Storage order of the target dense matrix
649  friend inline void subAssign( DenseMatrix<MT,SO>& lhs, const SMatTSMatSubExpr& rhs )
650  {
652 
653  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
654  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
655 
656  subAssign( ~lhs, rhs.lhs_ );
657  addAssign( ~lhs, rhs.rhs_ );
658  }
660  //**********************************************************************************************
661 
662  //**Subtraction assignment to sparse matrices***************************************************
663  // No special implementation for the subtraction assignment to sparse matrices.
664  //**********************************************************************************************
665 
666  //**Multiplication assignment to dense matrices*************************************************
667  // No special implementation for the multiplication assignment to dense matrices.
668  //**********************************************************************************************
669 
670  //**Multiplication assignment to sparse matrices************************************************
671  // No special implementation for the multiplication assignment to sparse matrices.
672  //**********************************************************************************************
673 
674  //**SMP assignment to dense matrices************************************************************
675  // No special implementation for the SMP assignment to dense matrices.
676  //**********************************************************************************************
677 
678  //**Assignment to sparse matrices***************************************************************
679  // No special implementation for the SMP assignment to sparse matrices.
680  //**********************************************************************************************
681 
682  //**SMP addition assignment to dense matrices***************************************************
697  template< typename MT // Type of the target dense matrix
698  , bool SO > // Storage order of the target dense matrix
699  friend inline EnableIf_< UseSMPAssign<MT> >
700  smpAddAssign( DenseMatrix<MT,SO>& lhs, const SMatTSMatSubExpr& rhs )
701  {
703 
704  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
705  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
706 
707  smpAddAssign( ~lhs, rhs.lhs_ );
708  smpSubAssign( ~lhs, rhs.rhs_ );
709  }
711  //**********************************************************************************************
712 
713  //**SMP addition assignment to sparse matrices**************************************************
714  // No special implementation for the SMP addition assignment to sparse matrices.
715  //**********************************************************************************************
716 
717  //**SMP subtraction assignment to dense matrices************************************************
732  template< typename MT // Type of the target dense matrix
733  , bool SO > // Storage order of the target dense matrix
734  friend inline EnableIf_< UseSMPAssign<MT> >
735  smpSubAssign( DenseMatrix<MT,SO>& lhs, const SMatTSMatSubExpr& rhs )
736  {
738 
739  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
740  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
741 
742  smpSubAssign( ~lhs, rhs.lhs_ );
743  smpAddAssign( ~lhs, rhs.rhs_ );
744  }
746  //**********************************************************************************************
747 
748  //**SMP subtraction assignment to sparse matrices***********************************************
749  // No special implementation for the SMP subtraction assignment to sparse matrices.
750  //**********************************************************************************************
751 
752  //**SMP multiplication assignment to dense matrices*********************************************
753  // No special implementation for the SMP multiplication assignment to dense matrices.
754  //**********************************************************************************************
755 
756  //**SMP multiplication assignment to sparse matrices********************************************
757  // No special implementation for the SMP multiplication assignment to sparse matrices.
758  //**********************************************************************************************
759 
760  //**Compile time checks*************************************************************************
768  //**********************************************************************************************
769 };
770 //*************************************************************************************************
771 
772 
773 
774 
775 //=================================================================================================
776 //
777 // GLOBAL BINARY ARITHMETIC OPERATORS
778 //
779 //=================================================================================================
780 
781 //*************************************************************************************************
810 template< typename T1 // Type of the left-hand side sparse matrix
811  , typename T2 > // Type of the right-hand side sparse matrix
812 inline const SMatTSMatSubExpr<T1,T2>
814 {
816 
817  if( (~lhs).rows() != (~rhs).rows() || (~lhs).columns() != (~rhs).columns() ) {
818  BLAZE_THROW_INVALID_ARGUMENT( "Matrix sizes do not match" );
819  }
820 
821  return SMatTSMatSubExpr<T1,T2>( ~lhs, ~rhs );
822 }
823 //*************************************************************************************************
824 
825 
826 
827 
828 //=================================================================================================
829 //
830 // ROWS SPECIALIZATIONS
831 //
832 //=================================================================================================
833 
834 //*************************************************************************************************
836 template< typename MT1, typename MT2 >
837 struct Rows< SMatTSMatSubExpr<MT1,MT2> >
838  : public Max< Rows<MT1>, Rows<MT2> >
839 {};
841 //*************************************************************************************************
842 
843 
844 
845 
846 //=================================================================================================
847 //
848 // COLUMNS SPECIALIZATIONS
849 //
850 //=================================================================================================
851 
852 //*************************************************************************************************
854 template< typename MT1, typename MT2 >
855 struct Columns< SMatTSMatSubExpr<MT1,MT2> >
856  : public Max< Columns<MT1>, Columns<MT2> >
857 {};
859 //*************************************************************************************************
860 
861 
862 
863 
864 //=================================================================================================
865 //
866 // ISSYMMETRIC SPECIALIZATIONS
867 //
868 //=================================================================================================
869 
870 //*************************************************************************************************
872 template< typename MT1, typename MT2 >
873 struct IsSymmetric< SMatTSMatSubExpr<MT1,MT2> >
874  : public BoolConstant< IsSymmetric<MT1>::value && IsSymmetric<MT2>::value >
875 {};
877 //*************************************************************************************************
878 
879 
880 
881 
882 //=================================================================================================
883 //
884 // ISHERMITIAN SPECIALIZATIONS
885 //
886 //=================================================================================================
887 
888 //*************************************************************************************************
890 template< typename MT1, typename MT2 >
891 struct IsHermitian< SMatTSMatSubExpr<MT1,MT2> >
892  : public BoolConstant< IsHermitian<MT1>::value && IsHermitian<MT2>::value >
893 {};
895 //*************************************************************************************************
896 
897 
898 
899 
900 //=================================================================================================
901 //
902 // ISLOWER SPECIALIZATIONS
903 //
904 //=================================================================================================
905 
906 //*************************************************************************************************
908 template< typename MT1, typename MT2 >
909 struct IsLower< SMatTSMatSubExpr<MT1,MT2> >
910  : public BoolConstant< And< IsLower<MT1>, IsLower<MT2> >::value >
911 {};
913 //*************************************************************************************************
914 
915 
916 
917 
918 //=================================================================================================
919 //
920 // ISUNILOWER SPECIALIZATIONS
921 //
922 //=================================================================================================
923 
924 //*************************************************************************************************
926 template< typename MT1, typename MT2 >
927 struct IsUniLower< SMatTSMatSubExpr<MT1,MT2> >
928  : public BoolConstant< And< IsUniLower<MT1>, IsStrictlyLower<MT2> >::value >
929 {};
931 //*************************************************************************************************
932 
933 
934 
935 
936 //=================================================================================================
937 //
938 // ISSTRICTLYLOWER SPECIALIZATIONS
939 //
940 //=================================================================================================
941 
942 //*************************************************************************************************
944 template< typename MT1, typename MT2 >
945 struct IsStrictlyLower< SMatTSMatSubExpr<MT1,MT2> >
946  : public BoolConstant< And< IsStrictlyLower<MT1>, IsStrictlyLower<MT2> >::value >
947 {};
949 //*************************************************************************************************
950 
951 
952 
953 
954 //=================================================================================================
955 //
956 // ISUPPER SPECIALIZATIONS
957 //
958 //=================================================================================================
959 
960 //*************************************************************************************************
962 template< typename MT1, typename MT2 >
963 struct IsUpper< SMatTSMatSubExpr<MT1,MT2> >
964  : public BoolConstant< And< IsUpper<MT1>, IsUpper<MT2> >::value >
965 {};
967 //*************************************************************************************************
968 
969 
970 
971 
972 //=================================================================================================
973 //
974 // ISUNIUPPER SPECIALIZATIONS
975 //
976 //=================================================================================================
977 
978 //*************************************************************************************************
980 template< typename MT1, typename MT2 >
981 struct IsUniUpper< SMatTSMatSubExpr<MT1,MT2> >
982  : public BoolConstant< And< IsUniUpper<MT1>, IsStrictlyUpper<MT2> >::value >
983 {};
985 //*************************************************************************************************
986 
987 
988 
989 
990 //=================================================================================================
991 //
992 // ISSTRICTLYUPPER SPECIALIZATIONS
993 //
994 //=================================================================================================
995 
996 //*************************************************************************************************
998 template< typename MT1, typename MT2 >
999 struct IsStrictlyUpper< SMatTSMatSubExpr<MT1,MT2> >
1000  : public BoolConstant< And< IsStrictlyUpper<MT1>, IsStrictlyUpper<MT2> >::value >
1001 {};
1003 //*************************************************************************************************
1004 
1005 
1006 
1007 
1008 //=================================================================================================
1009 //
1010 // EXPRESSION TRAIT SPECIALIZATIONS
1011 //
1012 //=================================================================================================
1013 
1014 //*************************************************************************************************
1016 template< typename MT1, typename MT2, bool AF >
1017 struct SubmatrixExprTrait< SMatTSMatSubExpr<MT1,MT2>, AF >
1018 {
1019  public:
1020  //**********************************************************************************************
1021  using Type = SubExprTrait_< SubmatrixExprTrait_<const MT1,AF>
1022  , SubmatrixExprTrait_<const MT2,AF> >;
1023  //**********************************************************************************************
1024 };
1026 //*************************************************************************************************
1027 
1028 
1029 //*************************************************************************************************
1031 template< typename MT1, typename MT2 >
1032 struct RowExprTrait< SMatTSMatSubExpr<MT1,MT2> >
1033 {
1034  public:
1035  //**********************************************************************************************
1036  using Type = SubExprTrait_< RowExprTrait_<const MT1>
1037  , RowExprTrait_<const MT2> >;
1038  //**********************************************************************************************
1039 };
1041 //*************************************************************************************************
1042 
1043 
1044 //*************************************************************************************************
1046 template< typename MT1, typename MT2 >
1047 struct ColumnExprTrait< SMatTSMatSubExpr<MT1,MT2> >
1048 {
1049  public:
1050  //**********************************************************************************************
1051  using Type = SubExprTrait_< ColumnExprTrait_<const MT1>
1052  , ColumnExprTrait_<const MT2> >;
1053  //**********************************************************************************************
1054 };
1056 //*************************************************************************************************
1057 
1058 } // namespace blaze
1059 
1060 #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.
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.
Header file for the ColumnExprTrait class template.
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: SMatTSMatSubExpr.h:225
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: SMatTSMatSubExpr.h:251
LeftOperand lhs_
Left-hand side sparse matrix of the subtraction expression.
Definition: SMatTSMatSubExpr.h:323
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.
ResultType_< MT2 > RT2
Result type of the right-hand side sparse matrix expression.
Definition: SMatTSMatSubExpr.h:112
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
ResultType_< MT1 > RT1
Result type of the left-hand side sparse matrix expression.
Definition: SMatTSMatSubExpr.h:111
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: SMatTSMatSubExpr.h:167
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
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.
SubExprTrait_< RN1, RN2 > ExprReturnType
Expression return type for the subscript operator.
Definition: SMatTSMatSubExpr.h:129
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 ResultType CompositeType
Data type for composite expression templates.
Definition: SMatTSMatSubExpr.h:174
typename T::CompositeType CompositeType_
Alias declaration for nested CompositeType type definitions.The CompositeType_ alias declaration prov...
Definition: Aliases.h:83
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.
OppositeType_< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: SMatTSMatSubExpr.h:166
Namespace of the Blaze C++ math library.
Definition: Blaze.h:57
Header file for the If class template.
#define BLAZE_CONSTRAINT_MUST_BE_COLUMN_MAJOR_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is not a column-major dense or sparse matri...
Definition: ColumnMajorMatrix.h:61
Expression object for sparse matrix-transpose sparse matrix subtractions.The SMatTSMatSubExpr class r...
Definition: Forward.h:108
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: SMatTSMatSubExpr.h:304
#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.
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: SMatTSMatSubExpr.h:316
If_< IsExpression< MT2 >, const MT2, const MT2 & > RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: SMatTSMatSubExpr.h:180
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
Constraints on the storage order of matrix types.
Compile time check for symmetric matrices.This type trait tests whether or not the given template par...
Definition: IsSymmetric.h:85
Header file for the exception macros of the math module.
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
CompositeType_< MT2 > CT2
Composite type of the right-hand side sparse matrix expression.
Definition: SMatTSMatSubExpr.h:116
Header file for the RowExprTrait class template.
Header file for all forward declarations for expression class templates.
Header file for the EnableIf class template.
Header file for the IsStrictlyLower type trait.
#define BLAZE_CONSTRAINT_MATRICES_MUST_HAVE_DIFFERENT_STORAGE_ORDER(T1, T2)
Constraint on the data type.In case either of the two given data types T1 or T2 is not a matrix type ...
Definition: StorageOrder.h:106
size_t nonZeros(size_t i) const
Returns the number of non-zero elements in the specified row.
Definition: SMatTSMatSubExpr.h:272
Compile time check for resizable data types.This type trait tests whether the given data type is a re...
Definition: IsResizable.h:75
const IfTrue_< returnExpr, ExprReturnType, ElementType > ReturnType
Return type for expression template evaluations.
Definition: SMatTSMatSubExpr.h:171
#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
CompositeType_< MT1 > CT1
Composite type of the left-hand side sparse matrix expression.
Definition: SMatTSMatSubExpr.h:115
Header file for run time assertion macros.
SMatTSMatSubExpr< MT1, MT2 > This
Type of this SMatTSMatSubExpr instance.
Definition: SMatTSMatSubExpr.h:164
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: SMatTSMatSubExpr.h:241
RightOperand rightOperand() const noexcept
Returns the right-hand side transpose sparse matrix operand.
Definition: SMatTSMatSubExpr.h:292
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
Header file for the isDefault shim.
Constraint on the data type.
ReturnType_< MT2 > RN2
Return type of the right-hand side sparse matrix expression.
Definition: SMatTSMatSubExpr.h:114
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
ReturnType_< MT1 > RN1
Return type of the left-hand side sparse matrix expression.
Definition: SMatTSMatSubExpr.h:113
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
size_t nonZeros() const
Returns the number of non-zero elements in the sparse matrix.
Definition: SMatTSMatSubExpr.h:261
LeftOperand leftOperand() const noexcept
Returns the left-hand side sparse matrix operand.
Definition: SMatTSMatSubExpr.h:282
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
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.
ElementType_< ResultType > ElementType
Resulting element type.
Definition: SMatTSMatSubExpr.h:168
SMatTSMatSubExpr(const MT1 &lhs, const MT2 &rhs) noexcept
Constructor for the SMatTSMatSubExpr class.
Definition: SMatTSMatSubExpr.h:194
RightOperand rhs_
Right-hand side sparse matrix of the subtraction expression.
Definition: SMatTSMatSubExpr.h:324
#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
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: SMatTSMatSubExpr.h:210
#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
If_< IsExpression< MT1 >, const MT1, const MT1 & > LeftOperand
Composite type of the left-hand side sparse matrix expression.
Definition: SMatTSMatSubExpr.h:177
Header file for the IsExpression type trait class.
SubTrait_< RT1, RT2 > ResultType
Result type for expression template evaluations.
Definition: SMatTSMatSubExpr.h:165
Header file for the FunctionTrace class.