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 
73 #include <blaze/util/Assert.h>
74 #include <blaze/util/DisableIf.h>
75 #include <blaze/util/EnableIf.h>
76 #include <blaze/util/Exception.h>
78 #include <blaze/util/mpl/And.h>
79 #include <blaze/util/mpl/Max.h>
80 #include <blaze/util/SelectType.h>
81 #include <blaze/util/Types.h>
84 
85 
86 namespace blaze {
87 
88 //=================================================================================================
89 //
90 // CLASS TSMATTSMATSUBEXPR
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 TSMatTSMatSubExpr : public SparseMatrix< TSMatTSMatSubExpr<MT1,MT2>, true >
104  , private MatMatSubExpr
105  , private Computation
106 {
107  private:
108  //**Type definitions****************************************************************************
109  typedef typename MT1::ResultType RT1;
110  typedef typename MT2::ResultType RT2;
111  typedef typename MT1::ReturnType RN1;
112  typedef typename MT2::ReturnType RN2;
113  typedef typename MT1::CompositeType CT1;
114  typedef typename MT2::CompositeType CT2;
115  //**********************************************************************************************
116 
117  //**Return type evaluation**********************************************************************
119 
124  enum { 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 {
141  };
143  //**********************************************************************************************
144 
145  //**Parallel evaluation strategy****************************************************************
147 
152  template< typename MT >
153  struct UseSMPAssign {
154  enum { value = MT::smpAssignable };
155  };
157  //**********************************************************************************************
158 
159  public:
160  //**Type definitions****************************************************************************
166 
169 
171  typedef const ResultType CompositeType;
172 
174  typedef typename SelectType< IsExpression<MT1>::value, const MT1, const MT1& >::Type LeftOperand;
175 
177  typedef typename SelectType< IsExpression<MT2>::value, const MT2, const MT2& >::Type RightOperand;
178  //**********************************************************************************************
179 
180  //**Compilation flags***************************************************************************
182  enum { smpAssignable = 0 };
183  //**********************************************************************************************
184 
185  //**Constructor*********************************************************************************
191  explicit inline TSMatTSMatSubExpr( const MT1& lhs, const MT2& rhs )
192  : lhs_( lhs ) // Left-hand side sparse matrix of the subtraction expression
193  , rhs_( rhs ) // Right-hand side sparse matrix of the subtraction 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 {
239  return lhs_.rows();
240  }
241  //**********************************************************************************************
242 
243  //**Columns function****************************************************************************
248  inline size_t columns() const {
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 {
280  return lhs_;
281  }
282  //**********************************************************************************************
283 
284  //**Right operand access************************************************************************
289  inline RightOperand rightOperand() const {
290  return rhs_;
291  }
292  //**********************************************************************************************
293 
294  //**********************************************************************************************
300  template< typename T >
301  inline bool canAlias( const T* alias ) const {
302  return ( lhs_.canAlias( alias ) || rhs_.canAlias( alias ) );
303  }
304  //**********************************************************************************************
305 
306  //**********************************************************************************************
312  template< typename T >
313  inline bool isAliased( const T* alias ) const {
314  return ( lhs_.isAliased( alias ) || rhs_.isAliased( alias ) );
315  }
316  //**********************************************************************************************
317 
318  private:
319  //**Member variables****************************************************************************
320  LeftOperand lhs_;
321  RightOperand rhs_;
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 TSMatTSMatSubExpr& 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  typedef typename RemoveReference<CT2>::Type::ConstIterator RightIterator;
347 
348  assign( ~lhs, rhs.lhs_ );
349 
351  subAssign( ~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
390  friend inline typename DisableIf< UseSymmetricKernel<MT,MT1,MT2> >::Type
391  assign( SparseMatrix<MT,false>& lhs, const TSMatTSMatSubExpr& 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  typedef typename RemoveReference<CT1>::Type::ConstIterator LeftIterator;
401  typedef typename RemoveReference<CT2>::Type::ConstIterator RightIterator;
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 subtraction
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
513  friend inline typename EnableIf< UseSymmetricKernel<MT,MT1,MT2> >::Type
514  assign( SparseMatrix<MT,false>& lhs, const TSMatTSMatSubExpr& 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 TSMatTSMatSubExpr& 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  typedef typename RemoveReference<CT1>::Type::ConstIterator LeftIterator;
550  typedef typename RemoveReference<CT2>::Type::ConstIterator RightIterator;
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 subtraction
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 TSMatTSMatSubExpr& 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  subAssign( ~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 TSMatTSMatSubExpr& 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  addAssign( ~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  //**Multiplication assignment to dense matrices*************************************************
672  // No special implementation for the multiplication assignment to dense matrices.
673  //**********************************************************************************************
674 
675  //**Multiplication assignment to sparse matrices************************************************
676  // No special implementation for the multiplication assignment to sparse matrices.
677  //**********************************************************************************************
678 
679  //**SMP assignment to dense matrices************************************************************
680  // No special implementation for the SMP assignment to dense matrices.
681  //**********************************************************************************************
682 
683  //**SMP assignment to sparse matrices***********************************************************
684  // No special implementation for the SMP assignment to sparse matrices.
685  //**********************************************************************************************
686 
687  //**SMP addition assignment to dense matrices***************************************************
702  template< typename MT // Type of the target dense matrix
703  , bool SO > // Storage order of the target dense matrix
704  friend inline typename EnableIf< UseSMPAssign<MT> >::Type
705  smpAddAssign( DenseMatrix<MT,SO>& lhs, const TSMatTSMatSubExpr& rhs )
706  {
708 
709  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
710  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
711 
712  smpAddAssign( ~lhs, rhs.lhs_ );
713  smpSubAssign( ~lhs, rhs.rhs_ );
714  }
716  //**********************************************************************************************
717 
718  //**SMP addition assignment to sparse matrices**************************************************
719  // No special implementation for the SMP addition assignment to sparse matrices.
720  //**********************************************************************************************
721 
722  //**SMP subtraction assignment to dense matrices************************************************
737  template< typename MT // Type of the target dense matrix
738  , bool SO > // Storage order of the target dense matrix
739  friend inline typename EnableIf< UseSMPAssign<MT> >::Type
740  smpSubAssign( DenseMatrix<MT,SO>& lhs, const TSMatTSMatSubExpr& rhs )
741  {
743 
744  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
745  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
746 
747  smpSubAssign( ~lhs, rhs.lhs_ );
748  smpAddAssign( ~lhs, rhs.rhs_ );
749  }
751  //**********************************************************************************************
752 
753  //**SMP subtraction assignment to sparse matrices***********************************************
754  // No special implementation for the SMP subtraction assignment to sparse matrices.
755  //**********************************************************************************************
756 
757  //**SMP multiplication assignment to dense matrices*********************************************
758  // No special implementation for the SMP multiplication assignment to dense matrices.
759  //**********************************************************************************************
760 
761  //**SMP multiplication assignment to sparse matrices********************************************
762  // No special implementation for the SMP multiplication assignment to sparse matrices.
763  //**********************************************************************************************
764 
765  //**Compile time checks*************************************************************************
773  //**********************************************************************************************
774 };
775 //*************************************************************************************************
776 
777 
778 
779 
780 //=================================================================================================
781 //
782 // GLOBAL BINARY ARITHMETIC OPERATORS
783 //
784 //=================================================================================================
785 
786 //*************************************************************************************************
813 template< typename T1 // Type of the left-hand side sparse matrix
814  , typename T2 > // Type of the right-hand side sparse matrix
815 inline const TSMatTSMatSubExpr<T1,T2>
817 {
819 
820  if( (~lhs).rows() != (~rhs).rows() || (~lhs).columns() != (~rhs).columns() ) {
821  BLAZE_THROW_INVALID_ARGUMENT( "Matrix sizes do not match" );
822  }
823 
824  return TSMatTSMatSubExpr<T1,T2>( ~lhs, ~rhs );
825 }
826 //*************************************************************************************************
827 
828 
829 
830 
831 //=================================================================================================
832 //
833 // ROWS SPECIALIZATIONS
834 //
835 //=================================================================================================
836 
837 //*************************************************************************************************
839 template< typename MT1, typename MT2 >
840 struct Rows< TSMatTSMatSubExpr<MT1,MT2> >
841  : public Max< Rows<MT1>, Rows<MT2> >
842 {};
844 //*************************************************************************************************
845 
846 
847 
848 
849 //=================================================================================================
850 //
851 // COLUMNS SPECIALIZATIONS
852 //
853 //=================================================================================================
854 
855 //*************************************************************************************************
857 template< typename MT1, typename MT2 >
858 struct Columns< TSMatTSMatSubExpr<MT1,MT2> >
859  : public Max< Columns<MT1>, Columns<MT2> >
860 {};
862 //*************************************************************************************************
863 
864 
865 
866 
867 //=================================================================================================
868 //
869 // ISSYMMETRIC SPECIALIZATIONS
870 //
871 //=================================================================================================
872 
873 //*************************************************************************************************
875 template< typename MT1, typename MT2 >
876 struct IsSymmetric< TSMatTSMatSubExpr<MT1,MT2> >
877  : public IsTrue< IsSymmetric<MT1>::value && IsSymmetric<MT2>::value >
878 {};
880 //*************************************************************************************************
881 
882 
883 
884 
885 //=================================================================================================
886 //
887 // ISHERMITIAN SPECIALIZATIONS
888 //
889 //=================================================================================================
890 
891 //*************************************************************************************************
893 template< typename MT1, typename MT2 >
894 struct IsHermitian< TSMatTSMatSubExpr<MT1,MT2> >
895  : public IsTrue< IsHermitian<MT1>::value && IsHermitian<MT2>::value >
896 {};
898 //*************************************************************************************************
899 
900 
901 
902 
903 //=================================================================================================
904 //
905 // ISLOWER SPECIALIZATIONS
906 //
907 //=================================================================================================
908 
909 //*************************************************************************************************
911 template< typename MT1, typename MT2 >
912 struct IsLower< TSMatTSMatSubExpr<MT1,MT2> >
913  : public IsTrue< And< IsLower<MT1>, IsLower<MT2> >::value >
914 {};
916 //*************************************************************************************************
917 
918 
919 
920 
921 //=================================================================================================
922 //
923 // ISUNILOWER SPECIALIZATIONS
924 //
925 //=================================================================================================
926 
927 //*************************************************************************************************
929 template< typename MT1, typename MT2 >
930 struct IsUniLower< TSMatTSMatSubExpr<MT1,MT2> >
931  : public IsTrue< And< IsUniLower<MT1>, IsStrictlyLower<MT2> >::value >
932 {};
934 //*************************************************************************************************
935 
936 
937 
938 
939 //=================================================================================================
940 //
941 // ISSTRICTLYLOWER SPECIALIZATIONS
942 //
943 //=================================================================================================
944 
945 //*************************************************************************************************
947 template< typename MT1, typename MT2 >
948 struct IsStrictlyLower< TSMatTSMatSubExpr<MT1,MT2> >
949  : public IsTrue< And< IsStrictlyLower<MT1>, IsStrictlyLower<MT2> >::value >
950 {};
952 //*************************************************************************************************
953 
954 
955 
956 
957 //=================================================================================================
958 //
959 // ISUPPER SPECIALIZATIONS
960 //
961 //=================================================================================================
962 
963 //*************************************************************************************************
965 template< typename MT1, typename MT2 >
966 struct IsUpper< TSMatTSMatSubExpr<MT1,MT2> >
967  : public IsTrue< And< IsUpper<MT1>, IsUpper<MT2> >::value >
968 {};
970 //*************************************************************************************************
971 
972 
973 
974 
975 //=================================================================================================
976 //
977 // ISUNIUPPER SPECIALIZATIONS
978 //
979 //=================================================================================================
980 
981 //*************************************************************************************************
983 template< typename MT1, typename MT2 >
984 struct IsUniUpper< TSMatTSMatSubExpr<MT1,MT2> >
985  : public IsTrue< And< IsUniUpper<MT1>, IsStrictlyUpper<MT2> >::value >
986 {};
988 //*************************************************************************************************
989 
990 
991 
992 
993 //=================================================================================================
994 //
995 // ISSTRICTLYUPPER SPECIALIZATIONS
996 //
997 //=================================================================================================
998 
999 //*************************************************************************************************
1001 template< typename MT1, typename MT2 >
1002 struct IsStrictlyUpper< TSMatTSMatSubExpr<MT1,MT2> >
1003  : public IsTrue< And< IsStrictlyUpper<MT1>, IsStrictlyUpper<MT2> >::value >
1004 {};
1006 //*************************************************************************************************
1007 
1008 
1009 
1010 
1011 //=================================================================================================
1012 //
1013 // EXPRESSION TRAIT SPECIALIZATIONS
1014 //
1015 //=================================================================================================
1016 
1017 //*************************************************************************************************
1019 template< typename MT1, typename MT2, bool AF >
1020 struct SubmatrixExprTrait< TSMatTSMatSubExpr<MT1,MT2>, AF >
1021 {
1022  public:
1023  //**********************************************************************************************
1024  typedef typename SubExprTrait< typename SubmatrixExprTrait<const MT1,AF>::Type
1025  , typename SubmatrixExprTrait<const MT2,AF>::Type >::Type Type;
1026  //**********************************************************************************************
1027 };
1029 //*************************************************************************************************
1030 
1031 
1032 //*************************************************************************************************
1034 template< typename MT1, typename MT2 >
1035 struct RowExprTrait< TSMatTSMatSubExpr<MT1,MT2> >
1036 {
1037  public:
1038  //**********************************************************************************************
1039  typedef typename SubExprTrait< typename RowExprTrait<const MT1>::Type
1040  , typename RowExprTrait<const MT2>::Type >::Type Type;
1041  //**********************************************************************************************
1042 };
1044 //*************************************************************************************************
1045 
1046 
1047 //*************************************************************************************************
1049 template< typename MT1, typename MT2 >
1050 struct ColumnExprTrait< TSMatTSMatSubExpr<MT1,MT2> >
1051 {
1052  public:
1053  //**********************************************************************************************
1054  typedef typename SubExprTrait< typename ColumnExprTrait<const MT1>::Type
1055  , typename ColumnExprTrait<const MT2>::Type >::Type Type;
1056  //**********************************************************************************************
1057 };
1059 //*************************************************************************************************
1060 
1061 } // namespace blaze
1062 
1063 #endif
Constraint on the data type.
MT2::ResultType RT2
Result type of the right-hand side sparse matrix expression.
Definition: TSMatTSMatSubExpr.h:110
#define BLAZE_THROW_INVALID_ARGUMENT(MESSAGE)
Macro for the emission of a std::invalid_argument exceptionThis macro encapsulates the default way of...
Definition: Exception.h:187
SelectType< IsExpression< MT2 >::value, const MT2, const MT2 & >::Type RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: TSMatTSMatSubExpr.h:177
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:87
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.
MT1::CompositeType CT1
Composite type of the left-hand side sparse matrix expression.
Definition: TSMatTSMatSubExpr.h:113
TSMatTSMatSubExpr< MT1, MT2 > This
Type of this TSMatTSMatSubExpr instance.
Definition: TSMatTSMatSubExpr.h:161
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:250
const SelectType< returnExpr, ExprReturnType, ElementType >::Type ReturnType
Return type for expression template evaluations.
Definition: TSMatTSMatSubExpr.h:168
Efficient implementation of a compressed matrix.The CompressedMatrix class template is the represent...
Definition: CompressedMatrix.h:207
const ResultType CompositeType
Data type for composite expression templates.
Definition: TSMatTSMatSubExpr.h:171
MT1::ReturnType RN1
Return type of the left-hand side sparse matrix expression.
Definition: TSMatTSMatSubExpr.h:111
Header file for the ColumnExprTrait class template.
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: TSMatTSMatSubExpr.h:222
RightOperand rightOperand() const
Returns the right-hand side transpose sparse matrix operand.
Definition: TSMatTSMatSubExpr.h:289
const This & CompositeType
Data type for composite expression templates.
Definition: CompressedMatrix.h:2588
Type ElementType
Type of the sparse matrix elements.
Definition: CompressedMatrix.h:259
BLAZE_ALWAYS_INLINE size_t rows(const Matrix< MT, SO > &matrix)
Returns the current number of rows of the matrix.
Definition: Matrix.h:308
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:721
Header file for the Computation base class.
Constraints on the storage order of matrix types.
Header file for the IsUniLower type trait.
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:117
bool isDefault(const DiagonalProxy< MT > &proxy)
Returns whether the represented element is in default state.
Definition: DiagonalProxy.h:547
LeftOperand lhs_
Left-hand side sparse matrix of the subtraction expression.
Definition: TSMatTSMatSubExpr.h:320
MT2::CompositeType CT2
Composite type of the right-hand side sparse matrix expression.
Definition: TSMatTSMatSubExpr.h:114
Header file for the SparseMatrix base class.
Constraint on the data type.
size_t nonZeros() const
Returns the number of non-zero elements in the sparse matrix.
Definition: TSMatTSMatSubExpr.h:258
Compile time type selection.The SelectType class template selects one of the two given types T1 and T...
Definition: SelectType.h:59
Header file for the DisableIf class template.
Header file for the IsTemporary type trait class.
Header file for the IsStrictlyUpper type trait.
ResultType::ElementType ElementType
Resulting element type.
Definition: TSMatTSMatSubExpr.h:165
Header file for the IsSymmetric type trait.
Namespace of the Blaze C++ math library.
Definition: Blaze.h:57
#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:79
const Element * ConstIterator
Iterator over constant elements.
Definition: CompressedMatrix.h:2592
size_t rows() const
Returns the current number of rows of the matrix.
Definition: TSMatTSMatSubExpr.h:238
#define BLAZE_THROW_OUT_OF_RANGE(MESSAGE)
Macro for the emission of a std::out_of_range exceptionThis macro encapsulates the default way of Bla...
Definition: Exception.h:331
Header file for the Columns type trait.
ResultType::OppositeType OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: TSMatTSMatSubExpr.h:163
Header file for the MatMatSubExpr base class.
Header file for the IsLower type trait.
const DenseIterator< Type, AF > operator-(const DenseIterator< Type, AF > &it, ptrdiff_t inc)
Subtraction between a DenseIterator and an integral value.
Definition: DenseIterator.h:642
SubExprTrait< RN1, RN2 >::Type ExprReturnType
Expression return type for the subscript operator.
Definition: TSMatTSMatSubExpr.h:127
size_t columns() const
Returns the current number of columns of the matrix.
Definition: TSMatTSMatSubExpr.h:248
Compile time check for symmetric matrices.This type trait tests whether or not the given template par...
Definition: IsSymmetric.h:85
Evaluation of the return type of a subtraction expression.Via this type trait it is possible to evalu...
Definition: SubExprTrait.h:104
RightOperand rhs_
Right-hand side sparse matrix of the subtraction expression.
Definition: TSMatTSMatSubExpr.h:321
Header file for the SelectType class template.
Header file for the RowExprTrait class template.
Header file for all forward declarations for expression class templates.
bool isAliased(const T *alias) const
Returns whether the expression is aliased with the given address alias.
Definition: TSMatTSMatSubExpr.h:313
Header file for the EnableIf class template.
Header file for the IsStrictlyLower type trait.
SelectType< IsExpression< MT1 >::value, const MT1, const MT1 & >::Type LeftOperand
Composite type of the left-hand side sparse matrix expression.
Definition: TSMatTSMatSubExpr.h:174
Header file for the serial shim.
MT2::ReturnType RN2
Return type of the right-hand side sparse matrix expression.
Definition: TSMatTSMatSubExpr.h:112
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:269
LeftOperand leftOperand() const
Returns the left-hand side transpose sparse matrix operand.
Definition: TSMatTSMatSubExpr.h:279
EnableIf< IsDenseMatrix< MT1 > >::Type 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
#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:116
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:79
const Type & ReturnType
Return type for expression template evaluations.
Definition: CompressedMatrix.h:2587
Removal of reference modifiers.The RemoveCV type trait removes any reference modifiers from the given...
Definition: RemoveReference.h:69
Header file for run time assertion macros.
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:159
TSMatTSMatSubExpr(const MT1 &lhs, const MT2 &rhs)
Constructor for the TSMatTSMatSubExpr class.
Definition: TSMatTSMatSubExpr.h:191
Header file for the isDefault shim.
Constraint on the data type.
Constraints on the storage order of matrix types.
Header file for the RemoveReference type trait.
Substitution Failure Is Not An Error (SFINAE) class.The DisableIf class template is an auxiliary tool...
Definition: DisableIf.h:184
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: TSMatTSMatSubExpr.h:207
SubTrait< RT1, RT2 >::Type ResultType
Result type for expression template evaluations.
Definition: TSMatTSMatSubExpr.h:162
const DMatTransExpr< MT,!SO > trans(const DenseMatrix< MT, SO > &dm)
Calculation of the transpose of the given dense matrix.
Definition: DMatTransExpr.h:944
Header file for the IsComputation type trait class.
EnableIf< IsDenseMatrix< MT1 > >::Type 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
#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
This ResultType
Result type for expression template evaluations.
Definition: CompressedMatrix.h:2583
Header file for the IsTrue value trait.
BLAZE_ALWAYS_INLINE size_t columns(const Matrix< MT, SO > &matrix)
Returns the current number of columns of the matrix.
Definition: Matrix.h:324
bool canAlias(const T *alias) const
Returns whether the expression can alias with the given address alias.
Definition: TSMatTSMatSubExpr.h:301
#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:165
Base template for the SubTrait class.
Definition: SubTrait.h:138
Header file for the IsUpper type trait.
MT1::ResultType RT1
Result type of the left-hand side sparse matrix expression.
Definition: TSMatTSMatSubExpr.h:109
Header file for exception macros.
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
#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:79
ResultType::TransposeType TransposeType
Transpose type for expression template evaluations.
Definition: TSMatTSMatSubExpr.h:164
Header file for the IsExpression type trait class.
Header file for the FunctionTrace class.