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>
50 #include <blaze/math/Exception.h>
73 #include <blaze/util/Assert.h>
74 #include <blaze/util/DisableIf.h>
75 #include <blaze/util/EnableIf.h>
78 #include <blaze/util/mpl/And.h>
79 #include <blaze/util/mpl/If.h>
80 #include <blaze/util/mpl/Maximum.h>
81 #include <blaze/util/Types.h>
83 
84 
85 namespace blaze {
86 
87 //=================================================================================================
88 //
89 // CLASS TSMATTSMATSUBEXPR
90 //
91 //=================================================================================================
92 
93 //*************************************************************************************************
100 template< typename MT1 // Type of the left-hand side sparse matrix
101  , typename MT2 > // Type of the right-hand side sparse matrix
102 class TSMatTSMatSubExpr
103  : public MatMatSubExpr< SparseMatrix< TSMatTSMatSubExpr<MT1,MT2>, true > >
104  , private Computation
105 {
106  private:
107  //**Type definitions****************************************************************************
114  //**********************************************************************************************
115 
116  //**Return type evaluation**********************************************************************
118 
123  enum : bool { returnExpr = !IsTemporary<RN1>::value && !IsTemporary<RN2>::value };
124 
127  //**********************************************************************************************
128 
129  //**Serial evaluation strategy******************************************************************
131 
136  template< typename T1, typename T2, typename T3 >
137  struct UseSymmetricKernel {
139  enum : bool { value = IsSymmetric<T2>::value && IsSymmetric<T3>::value };
140  };
142  //**********************************************************************************************
143 
144  //**Parallel evaluation strategy****************************************************************
146 
151  template< typename MT >
152  struct UseSMPAssign {
153  enum : bool { value = MT::smpAssignable };
154  };
156  //**********************************************************************************************
157 
158  public:
159  //**Type definitions****************************************************************************
165 
168 
170  using CompositeType = const ResultType;
171 
173  using LeftOperand = If_< IsExpression<MT1>, const MT1, const MT1& >;
174 
176  using RightOperand = If_< IsExpression<MT2>, const MT2, const MT2& >;
177  //**********************************************************************************************
178 
179  //**Compilation flags***************************************************************************
181  enum : bool { smpAssignable = false };
182  //**********************************************************************************************
183 
184  //**Constructor*********************************************************************************
190  explicit inline TSMatTSMatSubExpr( const MT1& lhs, const MT2& rhs ) noexcept
191  : lhs_( lhs ) // Left-hand side sparse matrix of the subtraction expression
192  , rhs_( rhs ) // Right-hand side sparse matrix of the subtraction expression
193  {
194  BLAZE_INTERNAL_ASSERT( lhs.rows() == rhs.rows() , "Invalid number of rows" );
195  BLAZE_INTERNAL_ASSERT( lhs.columns() == rhs.columns(), "Invalid number of columns" );
196  }
197  //**********************************************************************************************
198 
199  //**Access operator*****************************************************************************
206  inline ReturnType operator()( size_t i, size_t j ) const {
207  BLAZE_INTERNAL_ASSERT( i < lhs_.rows() , "Invalid row access index" );
208  BLAZE_INTERNAL_ASSERT( j < lhs_.columns(), "Invalid column access index" );
209  return lhs_(i,j) - rhs_(i,j);
210  }
211  //**********************************************************************************************
212 
213  //**At function*********************************************************************************
221  inline ReturnType at( size_t i, size_t j ) const {
222  if( i >= lhs_.rows() ) {
223  BLAZE_THROW_OUT_OF_RANGE( "Invalid row access index" );
224  }
225  if( j >= lhs_.columns() ) {
226  BLAZE_THROW_OUT_OF_RANGE( "Invalid column access index" );
227  }
228  return (*this)(i,j);
229  }
230  //**********************************************************************************************
231 
232  //**Rows function*******************************************************************************
237  inline size_t rows() const noexcept {
238  return lhs_.rows();
239  }
240  //**********************************************************************************************
241 
242  //**Columns function****************************************************************************
247  inline size_t columns() const noexcept {
248  return lhs_.columns();
249  }
250  //**********************************************************************************************
251 
252  //**NonZeros function***************************************************************************
257  inline size_t nonZeros() const {
258  return lhs_.nonZeros() + rhs_.nonZeros();
259  }
260  //**********************************************************************************************
261 
262  //**NonZeros function***************************************************************************
268  inline size_t nonZeros( size_t i ) const {
269  return lhs_.nonZeros(i) + rhs_.nonZeros(i);
270  }
271  //**********************************************************************************************
272 
273  //**Left operand access*************************************************************************
278  inline LeftOperand leftOperand() const noexcept {
279  return lhs_;
280  }
281  //**********************************************************************************************
282 
283  //**Right operand access************************************************************************
288  inline RightOperand rightOperand() const noexcept {
289  return rhs_;
290  }
291  //**********************************************************************************************
292 
293  //**********************************************************************************************
299  template< typename T >
300  inline bool canAlias( const T* alias ) const noexcept {
301  return ( lhs_.canAlias( alias ) || rhs_.canAlias( alias ) );
302  }
303  //**********************************************************************************************
304 
305  //**********************************************************************************************
311  template< typename T >
312  inline bool isAliased( const T* alias ) const noexcept {
313  return ( lhs_.isAliased( alias ) || rhs_.isAliased( alias ) );
314  }
315  //**********************************************************************************************
316 
317  private:
318  //**Member variables****************************************************************************
321  //**********************************************************************************************
322 
323  //**Assignment to dense matrices****************************************************************
336  template< typename MT // Type of the target dense matrix
337  , bool SO > // Storage order of the target dense matrix
338  friend inline void assign( DenseMatrix<MT,SO>& lhs, const TSMatTSMatSubExpr& rhs )
339  {
341 
342  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
343  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
344 
345  using RightIterator = ConstIterator_< RemoveReference_<CT2> >;
346 
347  assign( ~lhs, rhs.lhs_ );
348 
349  if( !IsResizable< ElementType_<MT> >::value ) {
350  subAssign( ~lhs, rhs.rhs_ );
351  }
352  else
353  {
354  CT2 B( serial( rhs.rhs_ ) ); // Evaluation of the right-hand side sparse matrix operand
355 
356  BLAZE_INTERNAL_ASSERT( B.rows() == rhs.rhs_.rows() , "Invalid number of rows" );
357  BLAZE_INTERNAL_ASSERT( B.columns() == rhs.rhs_.columns(), "Invalid number of columns" );
358  BLAZE_INTERNAL_ASSERT( B.rows() == (~lhs).rows() , "Invalid number of rows" );
359  BLAZE_INTERNAL_ASSERT( B.columns() == (~lhs).columns() , "Invalid number of columns" );
360 
361  for( size_t j=0UL; j<(~lhs).columns(); ++j ) {
362  const RightIterator end( B.end(j) );
363  for( RightIterator element=B.begin(j); element!=end; ++element ) {
364  if( isDefault( (~lhs)(element->index(),j) ) )
365  (~lhs)(element->index(),j) = -element->value();
366  else
367  (~lhs)(element->index(),j) -= element->value();
368  }
369  }
370  }
371  }
373  //**********************************************************************************************
374 
375  //**Assignment to row-major sparse matrices*****************************************************
388  template< typename MT > // Type of the target sparse matrix
390  assign( SparseMatrix<MT,false>& lhs, const TSMatTSMatSubExpr& rhs )
391  {
393 
395 
396  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
397  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
398 
399  using LeftIterator = ConstIterator_< RemoveReference_<CT1> >;
400  using RightIterator = ConstIterator_< RemoveReference_<CT2> >;
401 
402  CT1 A( serial( rhs.lhs_ ) ); // Evaluation of the left-hand side sparse matrix operand
403  CT2 B( serial( rhs.rhs_ ) ); // Evaluation of the right-hand side sparse matrix operand
404 
405  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.lhs_.rows() , "Invalid number of rows" );
406  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.lhs_.columns(), "Invalid number of columns" );
407  BLAZE_INTERNAL_ASSERT( B.rows() == rhs.rhs_.rows() , "Invalid number of rows" );
408  BLAZE_INTERNAL_ASSERT( B.columns() == rhs.rhs_.columns(), "Invalid number of columns" );
409  BLAZE_INTERNAL_ASSERT( A.rows() == (~lhs).rows() , "Invalid number of rows" );
410  BLAZE_INTERNAL_ASSERT( A.columns() == (~lhs).columns() , "Invalid number of columns" );
411 
412  const size_t m( rhs.rows() );
413  const size_t n( rhs.columns() );
414 
415  // Counting the number of elements per column
416  std::vector<size_t> nonzeros( m, 0UL );
417  for( size_t j=0UL; j<n; ++j )
418  {
419  const LeftIterator lend( A.end(j) );
420  const RightIterator rend( B.end(j) );
421 
422  LeftIterator l( A.begin(j) );
423  RightIterator r( B.begin(j) );
424 
425  while( l != lend && r != rend )
426  {
427  if( l->index() < r->index() ) {
428  ++nonzeros[l->index()];
429  ++l;
430  }
431  else if( l->index() > r->index() ) {
432  ++nonzeros[r->index()];
433  ++r;
434  }
435  else {
436  ++nonzeros[l->index()];
437  ++l;
438  ++r;
439  }
440  }
441 
442  while( l != lend ) {
443  ++nonzeros[l->index()];
444  ++l;
445  }
446 
447  while( r != rend ) {
448  ++nonzeros[r->index()];
449  ++r;
450  }
451  }
452 
453  // Resizing the left-hand side sparse matrix
454  for( size_t i=0UL; i<m; ++i ) {
455  (~lhs).reserve( i, nonzeros[i] );
456  }
457 
458  // Performing the matrix subtraction
459  for( size_t j=0UL; j<n; ++j )
460  {
461  const LeftIterator lend( A.end(j) );
462  const RightIterator rend( B.end(j) );
463 
464  LeftIterator l( A.begin(j) );
465  RightIterator r( B.begin(j) );
466 
467  while( l != lend && r != rend )
468  {
469  if( l->index() < r->index() ) {
470  (~lhs).append( l->index(), j, l->value() );
471  ++l;
472  }
473  else if( l->index() > r->index() ) {
474  (~lhs).append( r->index(), j, -r->value() );
475  ++r;
476  }
477  else {
478  (~lhs).append( l->index(), j, l->value() - r->value() );
479  ++l;
480  ++r;
481  }
482  }
483 
484  while( l != lend ) {
485  (~lhs).append( l->index(), j, l->value() );
486  ++l;
487  }
488 
489  while( r != rend ) {
490  (~lhs).append( r->index(), j, -r->value() );
491  ++r;
492  }
493  }
494  }
496  //**********************************************************************************************
497 
498  //**Assignment to row-major sparse matrices*****************************************************
511  template< typename MT > // Type of the target sparse matrix
513  assign( SparseMatrix<MT,false>& lhs, const TSMatTSMatSubExpr& rhs )
514  {
516 
518 
519  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
520  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
521 
522  assign( ~lhs, trans( rhs.lhs_ ) - trans( rhs.rhs_ ) );
523  }
525  //**********************************************************************************************
526 
527  //**Assignment to column-major sparse matrices**************************************************
540  template< typename MT > // Type of the target sparse matrix
541  friend inline void assign( SparseMatrix<MT,true>& lhs, const TSMatTSMatSubExpr& rhs )
542  {
544 
545  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
546  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
547 
548  using LeftIterator = ConstIterator_< RemoveReference_<CT1> >;
549  using RightIterator = ConstIterator_< RemoveReference_<CT2> >;
550 
551  CT1 A( serial( rhs.lhs_ ) ); // Evaluation of the left-hand side sparse matrix operand
552  CT2 B( serial( rhs.rhs_ ) ); // Evaluation of the right-hand side sparse matrix operand
553 
554  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.lhs_.rows() , "Invalid number of rows" );
555  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.lhs_.columns(), "Invalid number of columns" );
556  BLAZE_INTERNAL_ASSERT( B.rows() == rhs.rhs_.rows() , "Invalid number of rows" );
557  BLAZE_INTERNAL_ASSERT( B.columns() == rhs.rhs_.columns(), "Invalid number of columns" );
558  BLAZE_INTERNAL_ASSERT( A.rows() == (~lhs).rows() , "Invalid number of rows" );
559  BLAZE_INTERNAL_ASSERT( A.columns() == (~lhs).columns() , "Invalid number of columns" );
560 
561  // Final memory allocation (based on the evaluated operands)
562  (~lhs).reserve( A.nonZeros() + B.nonZeros() );
563 
564  // Performing the matrix subtraction
565  for( size_t j=0UL; j<(~lhs).columns(); ++j )
566  {
567  const LeftIterator lend( A.end(j) );
568  const RightIterator rend( B.end(j) );
569 
570  LeftIterator l( A.begin(j) );
571  RightIterator r( B.begin(j) );
572 
573  while( l != lend && r != rend )
574  {
575  if( l->index() < r->index() ) {
576  (~lhs).append( l->index(), j, l->value() );
577  ++l;
578  }
579  else if( l->index() > r->index() ) {
580  (~lhs).append( r->index(), j, -r->value() );
581  ++r;
582  }
583  else {
584  (~lhs).append( l->index(), j, l->value() - r->value() );
585  ++l;
586  ++r;
587  }
588  }
589 
590  while( l != lend ) {
591  (~lhs).append( l->index(), j, l->value() );
592  ++l;
593  }
594 
595  while( r != rend ) {
596  (~lhs).append( r->index(), j, -r->value() );
597  ++r;
598  }
599 
600  (~lhs).finalize( j );
601  }
602  }
604  //**********************************************************************************************
605 
606  //**Addition assignment to dense matrices*******************************************************
619  template< typename MT // Type of the target dense matrix
620  , bool SO > // Storage order of the target dense matrix
621  friend inline void addAssign( DenseMatrix<MT,SO>& lhs, const TSMatTSMatSubExpr& rhs )
622  {
624 
625  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
626  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
627 
628  addAssign( ~lhs, rhs.lhs_ );
629  subAssign( ~lhs, rhs.rhs_ );
630  }
632  //**********************************************************************************************
633 
634  //**Addition assignment to sparse matrices******************************************************
635  // No special implementation for the addition assignment to sparse matrices.
636  //**********************************************************************************************
637 
638  //**Subtraction assignment to dense matrices****************************************************
651  template< typename MT // Type of the target dense matrix
652  , bool SO > // Storage order of the target dense matrix
653  friend inline void subAssign( DenseMatrix<MT,SO>& lhs, const TSMatTSMatSubExpr& rhs )
654  {
656 
657  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
658  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
659 
660  subAssign( ~lhs, rhs.lhs_ );
661  addAssign( ~lhs, rhs.rhs_ );
662  }
664  //**********************************************************************************************
665 
666  //**Subtraction assignment to sparse matrices***************************************************
667  // No special implementation for the subtraction assignment to sparse matrices.
668  //**********************************************************************************************
669 
670  //**Schur product assignment to dense matrices**************************************************
683  template< typename MT // Type of the target dense matrix
684  , bool SO > // Storage order of the target dense matrix
685  friend inline void schurAssign( DenseMatrix<MT,SO>& lhs, const TSMatTSMatSubExpr& rhs )
686  {
688 
692 
693  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
694  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
695 
696  const ResultType tmp( serial( rhs ) );
697  schurAssign( ~lhs, tmp );
698  }
700  //**********************************************************************************************
701 
702  //**Schur product assignment to sparse matrices*************************************************
703  // No special implementation for the Schur product assignment to sparse matrices.
704  //**********************************************************************************************
705 
706  //**Multiplication assignment to dense matrices*************************************************
707  // No special implementation for the multiplication assignment to dense matrices.
708  //**********************************************************************************************
709 
710  //**Multiplication assignment to sparse matrices************************************************
711  // No special implementation for the multiplication assignment to sparse matrices.
712  //**********************************************************************************************
713 
714  //**SMP assignment to dense matrices************************************************************
715  // No special implementation for the SMP assignment to dense matrices.
716  //**********************************************************************************************
717 
718  //**SMP assignment to sparse matrices***********************************************************
719  // No special implementation for the SMP assignment to sparse matrices.
720  //**********************************************************************************************
721 
722  //**SMP addition 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 EnableIf_< UseSMPAssign<MT> >
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  smpAddAssign( ~lhs, rhs.lhs_ );
748  smpSubAssign( ~lhs, rhs.rhs_ );
749  }
751  //**********************************************************************************************
752 
753  //**SMP addition assignment to sparse matrices**************************************************
754  // No special implementation for the SMP addition assignment to sparse matrices.
755  //**********************************************************************************************
756 
757  //**SMP subtraction assignment to dense matrices************************************************
772  template< typename MT // Type of the target dense matrix
773  , bool SO > // Storage order of the target dense matrix
774  friend inline EnableIf_< UseSMPAssign<MT> >
776  {
778 
779  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
780  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
781 
782  smpSubAssign( ~lhs, rhs.lhs_ );
783  smpAddAssign( ~lhs, rhs.rhs_ );
784  }
786  //**********************************************************************************************
787 
788  //**SMP subtraction assignment to sparse matrices***********************************************
789  // No special implementation for the SMP subtraction assignment to sparse matrices.
790  //**********************************************************************************************
791 
792  //**SMP Schur product assignment to dense matrices**********************************************
807  template< typename MT // Type of the target dense matrix
808  , bool SO > // Storage order of the target dense matrix
809  friend inline EnableIf_< UseSMPAssign<MT> >
811  {
813 
817 
818  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
819  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
820 
821  const ResultType tmp( rhs );
822  smpSchurAssign( ~lhs, tmp );
823  }
825  //**********************************************************************************************
826 
827  //**SMP Schur product assignment to sparse matrices*********************************************
828  // No special implementation for the SMP Schur product assignment to sparse matrices.
829  //**********************************************************************************************
830 
831  //**SMP multiplication assignment to dense matrices*********************************************
832  // No special implementation for the SMP multiplication assignment to dense matrices.
833  //**********************************************************************************************
834 
835  //**SMP multiplication assignment to sparse matrices********************************************
836  // No special implementation for the SMP multiplication assignment to sparse matrices.
837  //**********************************************************************************************
838 
839  //**Compile time checks*************************************************************************
847  //**********************************************************************************************
848 };
849 //*************************************************************************************************
850 
851 
852 
853 
854 //=================================================================================================
855 //
856 // GLOBAL BINARY ARITHMETIC OPERATORS
857 //
858 //=================================================================================================
859 
860 //*************************************************************************************************
887 template< typename MT1 // Type of the left-hand side sparse matrix
888  , typename MT2 > // Type of the right-hand side sparse matrix
889 inline decltype(auto)
890  operator-( const SparseMatrix<MT1,true>& lhs, const SparseMatrix<MT2,true>& rhs )
891 {
893 
894  if( (~lhs).rows() != (~rhs).rows() || (~lhs).columns() != (~rhs).columns() ) {
895  BLAZE_THROW_INVALID_ARGUMENT( "Matrix sizes do not match" );
896  }
897 
899  return ReturnType( ~lhs, ~rhs );
900 }
901 //*************************************************************************************************
902 
903 
904 
905 
906 //=================================================================================================
907 //
908 // ROWS SPECIALIZATIONS
909 //
910 //=================================================================================================
911 
912 //*************************************************************************************************
914 template< typename MT1, typename MT2 >
915 struct Rows< TSMatTSMatSubExpr<MT1,MT2> >
916  : public Maximum< Rows<MT1>, Rows<MT2> >
917 {};
919 //*************************************************************************************************
920 
921 
922 
923 
924 //=================================================================================================
925 //
926 // COLUMNS SPECIALIZATIONS
927 //
928 //=================================================================================================
929 
930 //*************************************************************************************************
932 template< typename MT1, typename MT2 >
933 struct Columns< TSMatTSMatSubExpr<MT1,MT2> >
934  : public Maximum< Columns<MT1>, Columns<MT2> >
935 {};
937 //*************************************************************************************************
938 
939 
940 
941 
942 //=================================================================================================
943 //
944 // ISSYMMETRIC SPECIALIZATIONS
945 //
946 //=================================================================================================
947 
948 //*************************************************************************************************
950 template< typename MT1, typename MT2 >
951 struct IsSymmetric< TSMatTSMatSubExpr<MT1,MT2> >
952  : public BoolConstant< IsSymmetric<MT1>::value && IsSymmetric<MT2>::value >
953 {};
955 //*************************************************************************************************
956 
957 
958 
959 
960 //=================================================================================================
961 //
962 // ISHERMITIAN SPECIALIZATIONS
963 //
964 //=================================================================================================
965 
966 //*************************************************************************************************
968 template< typename MT1, typename MT2 >
969 struct IsHermitian< TSMatTSMatSubExpr<MT1,MT2> >
970  : public BoolConstant< IsHermitian<MT1>::value && IsHermitian<MT2>::value >
971 {};
973 //*************************************************************************************************
974 
975 
976 
977 
978 //=================================================================================================
979 //
980 // ISLOWER SPECIALIZATIONS
981 //
982 //=================================================================================================
983 
984 //*************************************************************************************************
986 template< typename MT1, typename MT2 >
987 struct IsLower< TSMatTSMatSubExpr<MT1,MT2> >
988  : public BoolConstant< And< IsLower<MT1>, IsLower<MT2> >::value >
989 {};
991 //*************************************************************************************************
992 
993 
994 
995 
996 //=================================================================================================
997 //
998 // ISUNILOWER SPECIALIZATIONS
999 //
1000 //=================================================================================================
1001 
1002 //*************************************************************************************************
1004 template< typename MT1, typename MT2 >
1005 struct IsUniLower< TSMatTSMatSubExpr<MT1,MT2> >
1006  : public BoolConstant< And< IsUniLower<MT1>, IsStrictlyLower<MT2> >::value >
1007 {};
1009 //*************************************************************************************************
1010 
1011 
1012 
1013 
1014 //=================================================================================================
1015 //
1016 // ISSTRICTLYLOWER SPECIALIZATIONS
1017 //
1018 //=================================================================================================
1019 
1020 //*************************************************************************************************
1022 template< typename MT1, typename MT2 >
1023 struct IsStrictlyLower< TSMatTSMatSubExpr<MT1,MT2> >
1024  : public BoolConstant< And< IsStrictlyLower<MT1>, IsStrictlyLower<MT2> >::value >
1025 {};
1027 //*************************************************************************************************
1028 
1029 
1030 
1031 
1032 //=================================================================================================
1033 //
1034 // ISUPPER SPECIALIZATIONS
1035 //
1036 //=================================================================================================
1037 
1038 //*************************************************************************************************
1040 template< typename MT1, typename MT2 >
1041 struct IsUpper< TSMatTSMatSubExpr<MT1,MT2> >
1042  : public BoolConstant< And< IsUpper<MT1>, IsUpper<MT2> >::value >
1043 {};
1045 //*************************************************************************************************
1046 
1047 
1048 
1049 
1050 //=================================================================================================
1051 //
1052 // ISUNIUPPER SPECIALIZATIONS
1053 //
1054 //=================================================================================================
1055 
1056 //*************************************************************************************************
1058 template< typename MT1, typename MT2 >
1059 struct IsUniUpper< TSMatTSMatSubExpr<MT1,MT2> >
1060  : public BoolConstant< And< IsUniUpper<MT1>, IsStrictlyUpper<MT2> >::value >
1061 {};
1063 //*************************************************************************************************
1064 
1065 
1066 
1067 
1068 //=================================================================================================
1069 //
1070 // ISSTRICTLYUPPER SPECIALIZATIONS
1071 //
1072 //=================================================================================================
1073 
1074 //*************************************************************************************************
1076 template< typename MT1, typename MT2 >
1077 struct IsStrictlyUpper< TSMatTSMatSubExpr<MT1,MT2> >
1078  : public BoolConstant< And< IsStrictlyUpper<MT1>, IsStrictlyUpper<MT2> >::value >
1079 {};
1081 //*************************************************************************************************
1082 
1083 } // namespace blaze
1084 
1085 #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.
size_t nonZeros(size_t i) const
Returns the number of non-zero elements in the specified row.
Definition: TSMatTSMatSubExpr.h:268
Compile time check whether the given type is a temporary vector or matrix type.This type trait class ...
Definition: IsTemporary.h:70
Header file for the Rows type trait.
Header file for the IsUniUpper type trait.
EnableIf_< IsDenseMatrix< MT1 > > smpSchurAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the SMP Schur product assignment of a matrix to dense matrix.
Definition: DenseMatrix.h:196
Header file for 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:164
Header file for the serial shim.
SubExprTrait_< RN1, RN2 > ExprReturnType
Expression return type for the subscript operator.
Definition: TSMatTSMatSubExpr.h:126
Generic wrapper for a compile time constant integral value.The IntegralConstant class template repres...
Definition: IntegralConstant.h:71
typename DisableIf< Condition, T >::Type DisableIf_
Auxiliary type for the DisableIf class template.The DisableIf_ alias declaration provides a convenien...
Definition: DisableIf.h:224
Header file for the And class template.
Compile time value evaluation.The Maximum alias declaration selects the larger of the two given templ...
Definition: Maximum.h:73
Compile time check for lower triangular matrices.This type trait tests whether or not the given templ...
Definition: IsLower.h:88
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: TSMatTSMatSubExpr.h:221
Header file for the Computation base class.
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: TSMatTSMatSubExpr.h:206
Compile time check for upper triangular matrices.This type trait tests whether or not the given templ...
Definition: IsUpper.h:88
Constraints on the storage order of matrix types.
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: TSMatTSMatSubExpr.h:312
Header file for the IsUniLower type trait.
typename T::ResultType ResultType_
Alias declaration for nested ResultType type definitions.The ResultType_ alias declaration provides a...
Definition: Aliases.h:343
EnableIf_< IsDenseMatrix< MT1 > > smpAddAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the SMP addition assignment of a matrix to a dense matrix.
Definition: DenseMatrix.h:133
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: TSMatTSMatSubExpr.h:163
Base class for dense matrices.The DenseMatrix class is a base class for all dense matrix classes...
Definition: DenseMatrix.h:78
Base class for sparse matrices.The SparseMatrix class is a base class for all sparse matrix classes...
Definition: Forward.h:129
typename IfTrue< Condition, T1, T2 >::Type IfTrue_
Auxiliary alias declaration for the IfTrue class template.The IfTrue_ alias declaration provides a co...
Definition: If.h:109
LeftOperand lhs_
Left-hand side sparse matrix of the subtraction expression.
Definition: TSMatTSMatSubExpr.h:319
typename T::ReturnType ReturnType_
Alias declaration for nested ReturnType type definitions.The ReturnType_ alias declaration provides a...
Definition: Aliases.h:363
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: TSMatTSMatSubExpr.h:237
Header file for the SparseMatrix base class.
CompositeType_< MT1 > CT1
Composite type of the left-hand side sparse matrix expression.
Definition: TSMatTSMatSubExpr.h:112
typename SubExprTrait< T1, T2 >::Type SubExprTrait_
Auxiliary alias declaration for the SubExprTrait class template.The SubExprTrait_ alias declaration p...
Definition: SubExprTrait.h:112
Constraint on the data type.
Header file for the Maximum class template.
typename T::CompositeType CompositeType_
Alias declaration for nested CompositeType type definitions.The CompositeType_ alias declaration prov...
Definition: Aliases.h:83
Compile time check for upper unitriangular matrices.This type trait tests whether or not the given te...
Definition: IsUniUpper.h:86
const ResultType CompositeType
Data type for composite expression templates.
Definition: TSMatTSMatSubExpr.h:170
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.
ReturnType_< MT1 > RN1
Return type of the left-hand side sparse matrix expression.
Definition: TSMatTSMatSubExpr.h:110
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
TSMatTSMatSubExpr(const MT1 &lhs, const MT2 &rhs) noexcept
Constructor for the TSMatTSMatSubExpr class.
Definition: TSMatTSMatSubExpr.h:190
#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
const IfTrue_< returnExpr, ExprReturnType, ElementType > ReturnType
Return type for expression template evaluations.
Definition: TSMatTSMatSubExpr.h:167
Header file for the Columns type trait.
SubTrait_< RT1, RT2 > ResultType
Result type for expression template evaluations.
Definition: TSMatTSMatSubExpr.h:161
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.
ElementType_< ResultType > ElementType
Resulting element type.
Definition: TSMatTSMatSubExpr.h:164
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.
RightOperand rhs_
Right-hand side sparse matrix of the subtraction expression.
Definition: TSMatTSMatSubExpr.h:320
Compile time check for strictly upper triangular matrices.This type trait tests whether or not the gi...
Definition: IsStrictlyUpper.h:86
BLAZE_ALWAYS_INLINE MT::Iterator end(Matrix< MT, SO > &matrix, size_t i)
Returns an iterator just past the last element of row/column i.
Definition: Matrix.h:264
Constraint on the data type.
Header file for all forward declarations for expression class templates.
Header file for the EnableIf class template.
Header file for the IsStrictlyLower type trait.
Compile time check for lower unitriangular matrices.This type trait tests whether or not the given te...
Definition: IsUniLower.h:86
Compile time check for resizable data types.This type trait tests whether the given data type is a re...
Definition: IsResizable.h:75
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: TSMatTSMatSubExpr.h:300
#define BLAZE_CONSTRAINT_MUST_NOT_BE_SYMMETRIC_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is a symmetric matrix type, a compilation error is created.
Definition: Symmetric.h:79
#define BLAZE_CONSTRAINT_MUST_BE_ROW_MAJOR_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is not a row-major dense or sparse matrix t...
Definition: RowMajorMatrix.h:61
ResultType_< MT2 > RT2
Result type of the right-hand side sparse matrix expression.
Definition: TSMatTSMatSubExpr.h:109
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:172
If_< IsExpression< MT2 >, const MT2, const MT2 &> RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: TSMatTSMatSubExpr.h:176
typename If< T1, T2, T3 >::Type If_
Auxiliary alias declaration for the If class template.The If_ alias declaration provides a convenient...
Definition: If.h:154
ReturnType_< MT2 > RN2
Return type of the right-hand side sparse matrix expression.
Definition: TSMatTSMatSubExpr.h:111
#define BLAZE_FUNCTION_TRACE
Function trace macro.This macro can be used to reliably trace function calls. In case function tracin...
Definition: FunctionTrace.h:94
Header file for the isDefault shim.
Compile time check for Hermitian matrices.This type trait tests whether or not the given template par...
Definition: IsHermitian.h:85
Constraint on the data type.
Constraints on the storage order of matrix types.
decltype(auto) serial(const DenseMatrix< MT, SO > &dm)
Forces the serial evaluation of the given dense matrix expression dm.
Definition: DMatSerialExpr.h:819
OppositeType_< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: TSMatTSMatSubExpr.h:162
#define BLAZE_CONSTRAINT_MUST_NOT_REQUIRE_EVALUATION(T)
Constraint on the data type.In case the given data type T requires an intermediate evaluation within ...
Definition: RequiresEvaluation.h:81
LeftOperand leftOperand() const noexcept
Returns the left-hand side transpose sparse matrix operand.
Definition: TSMatTSMatSubExpr.h:278
Header file for the RemoveReference type trait.
typename EnableIf< Condition, T >::Type EnableIf_
Auxiliary alias declaration for the EnableIf class template.The EnableIf_ alias declaration provides ...
Definition: EnableIf.h:224
typename T::OppositeType OppositeType_
Alias declaration for nested OppositeType type definitions.The OppositeType_ alias declaration provid...
Definition: Aliases.h:263
RightOperand rightOperand() const noexcept
Returns the right-hand side transpose sparse matrix operand.
Definition: TSMatTSMatSubExpr.h:288
Compile time check for strictly lower triangular matrices.This type trait tests whether or not the gi...
Definition: IsStrictlyLower.h:86
const Type & ReturnType
Return type for expression template evaluations.
Definition: CompressedMatrix.h:3082
typename T::ConstIterator ConstIterator_
Alias declaration for nested ConstIterator type definitions.The ConstIterator_ alias declaration prov...
Definition: Aliases.h:103
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: TSMatTSMatSubExpr.h:247
decltype(auto) trans(const DenseMatrix< MT, SO > &dm)
Calculation of the transpose of the given dense matrix.
Definition: DMatTransExpr.h:790
CompositeType_< MT2 > CT2
Composite type of the right-hand side sparse matrix expression.
Definition: TSMatTSMatSubExpr.h:113
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:250
Header file for the IntegralConstant class template.
Compile time evaluation of the number of columns of a matrix.The Columns type trait evaluates the num...
Definition: Columns.h:75
Compile time evaluation of the number of rows of a matrix.The Rows type trait evaluates the number of...
Definition: Rows.h:75
#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:108
bool isDefault(const DiagonalProxy< MT > &proxy)
Returns whether the represented element is in default state.
Definition: DiagonalProxy.h:600
typename T::TransposeType TransposeType_
Alias declaration for nested TransposeType type definitions.The TransposeType_ alias declaration prov...
Definition: Aliases.h:423
Header file for the IsUpper type trait.
Header file for the IsHermitian type trait.
Header file for the IsResizable type trait.
Header file for the SubExprTrait class template.
If_< IsExpression< MT1 >, const MT1, const MT1 &> LeftOperand
Composite type of the left-hand side sparse matrix expression.
Definition: TSMatTSMatSubExpr.h:173
size_t nonZeros() const
Returns the number of non-zero elements in the sparse matrix.
Definition: TSMatTSMatSubExpr.h:257
#define BLAZE_INTERNAL_ASSERT(expr, msg)
Run time assertion macro for internal checks.In case of an invalid run time expression, the program execution is terminated. The BLAZE_INTERNAL_ASSERT macro can be disabled by setting the BLAZE_USER_ASSERTION flag to zero or by defining NDEBUG during the compilation.
Definition: Assert.h:101
#define BLAZE_CONSTRAINT_MUST_BE_SPARSE_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is not a sparse, N-dimensional matrix type...
Definition: SparseMatrix.h:61
ResultType_< MT1 > RT1
Result type of the left-hand side sparse matrix expression.
Definition: TSMatTSMatSubExpr.h:108
Header file for the IsExpression type trait class.
Header file for the function trace functionality.