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>
51 #include <blaze/math/Exception.h>
73 #include <blaze/util/Assert.h>
74 #include <blaze/util/DisableIf.h>
75 #include <blaze/util/EnableIf.h>
77 #include <blaze/util/mpl/And.h>
78 #include <blaze/util/mpl/If.h>
79 #include <blaze/util/mpl/Maximum.h>
80 #include <blaze/util/Types.h>
82 
83 
84 namespace blaze {
85 
86 //=================================================================================================
87 //
88 // CLASS SMATTSMATSUBEXPR
89 //
90 //=================================================================================================
91 
92 //*************************************************************************************************
99 template< typename MT1 // Type of the left-hand side sparse matrix
100  , typename MT2 > // Type of the right-hand side sparse matrix
101 class SMatTSMatSubExpr
102  : public MatMatSubExpr< SparseMatrix< SMatTSMatSubExpr<MT1,MT2>, false > >
103  , private Computation
104 {
105  private:
106  //**Type definitions****************************************************************************
113  //**********************************************************************************************
114 
115  //**Return type evaluation**********************************************************************
117 
122  enum : bool { returnExpr = !IsTemporary<RN1>::value && !IsTemporary<RN2>::value };
123 
126  //**********************************************************************************************
127 
128  //**Serial evaluation strategy******************************************************************
130 
136  template< typename T1, typename T2 >
137  struct UseSymmetricKernel {
139  enum : bool { value = IsSymmetric<T2>::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 SMatTSMatSubExpr( 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****************************************************************
335  template< typename MT // Type of the target dense matrix
336  , bool SO > // Storage order of the target dense matrix
337  friend inline void assign( DenseMatrix<MT,SO>& lhs, const SMatTSMatSubExpr& rhs )
338  {
340 
341  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
342  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
343 
344  using RightIterator = ConstIterator_< RemoveReference_<CT2> >;
345 
346  assign( ~lhs, rhs.lhs_ );
347 
348  if( !IsResizable< ElementType_<MT> >::value ) {
349  subAssign( ~lhs, rhs.rhs_ );
350  }
351  else
352  {
353  CT2 B( serial( rhs.rhs_ ) ); // Evaluation of the right-hand side sparse matrix operand
354 
355  BLAZE_INTERNAL_ASSERT( B.rows() == rhs.rhs_.rows() , "Invalid number of rows" );
356  BLAZE_INTERNAL_ASSERT( B.columns() == rhs.rhs_.columns(), "Invalid number of columns" );
357  BLAZE_INTERNAL_ASSERT( B.rows() == (~lhs).rows() , "Invalid number of rows" );
358  BLAZE_INTERNAL_ASSERT( B.columns() == (~lhs).columns() , "Invalid number of columns" );
359 
360  for( size_t j=0UL; j<(~lhs).columns(); ++j ) {
361  const RightIterator end( B.end(j) );
362  for( RightIterator element=B.begin(j); element!=end; ++element ) {
363  if( isDefault( (~lhs)(element->index(),j) ) )
364  (~lhs)(element->index(),j) = -element->value();
365  else
366  (~lhs)(element->index(),j) -= element->value();
367  }
368  }
369  }
370  }
372  //**********************************************************************************************
373 
374  //**Assignment to row-major sparse matrices*****************************************************
387  template< typename MT > // Type of the target sparse matrix
389  assign( SparseMatrix<MT,false>& lhs, const SMatTSMatSubExpr& rhs )
390  {
392 
393  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
394  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
395 
396  using LeftIterator = ConstIterator_< RemoveReference_<CT1> >;
397  using RightIterator = ConstIterator_< OppositeType_<RT2> >;
398 
399  // Evaluation of the left-hand side sparse matrix operand
400  CT1 A( serial( rhs.lhs_ ) );
401 
402  // Evaluation of the right-hand side sparse matrix operand
403  const OppositeType_<RT2> B( serial( rhs.rhs_ ) );
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  // Final memory allocation (based on the evaluated operands)
413  (~lhs).reserve( A.nonZeros() + B.nonZeros() );
414 
415  // Performing the matrix subtraction
416  for( size_t i=0UL; i<(~lhs).rows(); ++i )
417  {
418  const LeftIterator lend( A.end(i) );
419  const RightIterator rend( B.end(i) );
420 
421  LeftIterator l( A.begin(i) );
422  RightIterator r( B.begin(i) );
423 
424  while( l != lend && r != rend )
425  {
426  if( l->index() < r->index() ) {
427  (~lhs).append( i, l->index(), l->value() );
428  ++l;
429  }
430  else if( l->index() > r->index() ) {
431  (~lhs).append( i, r->index(), -r->value() );
432  ++r;
433  }
434  else {
435  (~lhs).append( i, l->index(), l->value() - r->value() );
436  ++l;
437  ++r;
438  }
439  }
440 
441  while( l != lend ) {
442  (~lhs).append( i, l->index(), l->value() );
443  ++l;
444  }
445 
446  while( r != rend ) {
447  (~lhs).append( i, r->index(), -r->value() );
448  ++r;
449  }
450 
451  (~lhs).finalize( i );
452  }
453  }
455  //**********************************************************************************************
456 
457  //**Assignment to row-major sparse matrices*****************************************************
470  template< typename MT > // Type of the target sparse matrix
472  assign( SparseMatrix<MT,false>& lhs, const SMatTSMatSubExpr& rhs )
473  {
475 
476  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
477  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
478 
479  assign( ~lhs, rhs.lhs_ - trans( rhs.rhs_ ) );
480  }
482  //**********************************************************************************************
483 
484  //**Assignment to column-major sparse matrices**************************************************
497  template< typename MT > // Type of the target sparse matrix
499  assign( SparseMatrix<MT,true>& lhs, const SMatTSMatSubExpr& rhs )
500  {
502 
504 
505  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
506  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
507 
508  using LeftIterator = ConstIterator_< OppositeType_<RT1> >;
509  using RightIterator = ConstIterator_< RemoveReference_<CT2> >;
510 
511  // Evaluation of the left-hand side sparse matrix operand
512  const OppositeType_<RT1> A( serial( rhs.lhs_ ) );
513 
514  // Evaluation of the right-hand side sparse matrix operand
515  CT2 B( serial( rhs.rhs_ ) );
516 
517  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.lhs_.rows() , "Invalid number of rows" );
518  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.lhs_.columns(), "Invalid number of columns" );
519  BLAZE_INTERNAL_ASSERT( B.rows() == rhs.rhs_.rows() , "Invalid number of rows" );
520  BLAZE_INTERNAL_ASSERT( B.columns() == rhs.rhs_.columns(), "Invalid number of columns" );
521  BLAZE_INTERNAL_ASSERT( A.rows() == (~lhs).rows() , "Invalid number of rows" );
522  BLAZE_INTERNAL_ASSERT( A.columns() == (~lhs).columns() , "Invalid number of columns" );
523 
524  // Final memory allocation (based on the evaluated operands)
525  (~lhs).reserve( A.nonZeros() + B.nonZeros() );
526 
527  // Performing the matrix subtraction
528  for( size_t j=0UL; j<(~lhs).columns(); ++j )
529  {
530  const LeftIterator lend( A.end(j) );
531  const RightIterator rend( B.end(j) );
532 
533  LeftIterator l( A.begin(j) );
534  RightIterator r( B.begin(j) );
535 
536  while( l != lend && r != rend )
537  {
538  if( l->index() < r->index() ) {
539  (~lhs).append( l->index(), j, l->value() );
540  ++l;
541  }
542  else if( l->index() > r->index() ) {
543  (~lhs).append( r->index(), j, -r->value() );
544  ++r;
545  }
546  else {
547  (~lhs).append( l->index(), j, l->value() - r->value() );
548  ++l;
549  ++r;
550  }
551  }
552 
553  while( l != lend ) {
554  (~lhs).append( l->index(), j, l->value() );
555  ++l;
556  }
557 
558  while( r != rend ) {
559  (~lhs).append( r->index(), j, -r->value() );
560  ++r;
561  }
562 
563  (~lhs).finalize( j );
564  }
565  }
567  //**********************************************************************************************
568 
569  //**Assignment to column-major sparse matrices**************************************************
582  template< typename MT > // Type of the target sparse matrix
584  assign( SparseMatrix<MT,true>& lhs, const SMatTSMatSubExpr& rhs )
585  {
587 
589 
590  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
591  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
592 
593  assign( ~lhs, trans( rhs.lhs_ ) - rhs.rhs_ );
594  }
596  //**********************************************************************************************
597 
598  //**Addition assignment to dense matrices*******************************************************
611  template< typename MT // Type of the target dense matrix
612  , bool SO > // Storage order of the target dense matrix
613  friend inline void addAssign( DenseMatrix<MT,SO>& lhs, const SMatTSMatSubExpr& rhs )
614  {
616 
617  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
618  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
619 
620  addAssign( ~lhs, rhs.lhs_ );
621  subAssign( ~lhs, rhs.rhs_ );
622  }
624  //**********************************************************************************************
625 
626  //**Addition assignment to sparse matrices******************************************************
627  // No special implementation for the addition assignment to sparse matrices.
628  //**********************************************************************************************
629 
630  //**Subtraction assignment to dense matrices****************************************************
643  template< typename MT // Type of the target dense matrix
644  , bool SO > // Storage order of the target dense matrix
645  friend inline void subAssign( DenseMatrix<MT,SO>& lhs, const SMatTSMatSubExpr& rhs )
646  {
648 
649  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
650  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
651 
652  subAssign( ~lhs, rhs.lhs_ );
653  addAssign( ~lhs, rhs.rhs_ );
654  }
656  //**********************************************************************************************
657 
658  //**Subtraction assignment to sparse matrices***************************************************
659  // No special implementation for the subtraction assignment to sparse matrices.
660  //**********************************************************************************************
661 
662  //**Schur product assignment to dense matrices**************************************************
675  template< typename MT // Type of the target dense matrix
676  , bool SO > // Storage order of the target dense matrix
677  friend inline void schurAssign( DenseMatrix<MT,SO>& lhs, const SMatTSMatSubExpr& rhs )
678  {
680 
684 
685  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
686  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
687 
688  const ResultType tmp( serial( rhs ) );
689  schurAssign( ~lhs, tmp );
690  }
692  //**********************************************************************************************
693 
694  //**Schur product assignment to sparse matrices*************************************************
695  // No special implementation for the Schur product assignment to sparse matrices.
696  //**********************************************************************************************
697 
698  //**Multiplication assignment to dense matrices*************************************************
699  // No special implementation for the multiplication assignment to dense matrices.
700  //**********************************************************************************************
701 
702  //**Multiplication assignment to sparse matrices************************************************
703  // No special implementation for the multiplication assignment to sparse matrices.
704  //**********************************************************************************************
705 
706  //**SMP assignment to dense matrices************************************************************
707  // No special implementation for the SMP assignment to dense matrices.
708  //**********************************************************************************************
709 
710  //**Assignment to sparse matrices***************************************************************
711  // No special implementation for the SMP assignment to sparse matrices.
712  //**********************************************************************************************
713 
714  //**SMP addition assignment to dense matrices***************************************************
729  template< typename MT // Type of the target dense matrix
730  , bool SO > // Storage order of the target dense matrix
731  friend inline EnableIf_< UseSMPAssign<MT> >
733  {
735 
736  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
737  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
738 
739  smpAddAssign( ~lhs, rhs.lhs_ );
740  smpSubAssign( ~lhs, rhs.rhs_ );
741  }
743  //**********************************************************************************************
744 
745  //**SMP addition assignment to sparse matrices**************************************************
746  // No special implementation for the SMP addition assignment to sparse matrices.
747  //**********************************************************************************************
748 
749  //**SMP subtraction assignment to dense matrices************************************************
764  template< typename MT // Type of the target dense matrix
765  , bool SO > // Storage order of the target dense matrix
766  friend inline EnableIf_< UseSMPAssign<MT> >
768  {
770 
771  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
772  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
773 
774  smpSubAssign( ~lhs, rhs.lhs_ );
775  smpAddAssign( ~lhs, rhs.rhs_ );
776  }
778  //**********************************************************************************************
779 
780  //**SMP subtraction assignment to sparse matrices***********************************************
781  // No special implementation for the SMP subtraction assignment to sparse matrices.
782  //**********************************************************************************************
783 
784  //**SMP Schur product assignment to dense matrices**********************************************
799  template< typename MT // Type of the target dense matrix
800  , bool SO > // Storage order of the target dense matrix
801  friend inline EnableIf_< UseSMPAssign<MT> >
803  {
805 
809 
810  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
811  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
812 
813  const ResultType tmp( rhs );
814  smpSchurAssign( ~lhs, tmp );
815  }
817  //**********************************************************************************************
818 
819  //**SMP Schur product assignment to sparse matrices*********************************************
820  // No special implementation for the SMP Schur product assignment to sparse matrices.
821  //**********************************************************************************************
822 
823  //**SMP multiplication assignment to dense matrices*********************************************
824  // No special implementation for the SMP multiplication assignment to dense matrices.
825  //**********************************************************************************************
826 
827  //**SMP multiplication assignment to sparse matrices********************************************
828  // No special implementation for the SMP multiplication assignment to sparse matrices.
829  //**********************************************************************************************
830 
831  //**Compile time checks*************************************************************************
839  //**********************************************************************************************
840 };
841 //*************************************************************************************************
842 
843 
844 
845 
846 //=================================================================================================
847 //
848 // GLOBAL BINARY ARITHMETIC OPERATORS
849 //
850 //=================================================================================================
851 
852 //*************************************************************************************************
881 template< typename MT1 // Type of the left-hand side sparse matrix
882  , typename MT2 > // Type of the right-hand side sparse matrix
883 inline decltype(auto)
884  operator-( const SparseMatrix<MT1,false>& lhs, const SparseMatrix<MT2,true>& rhs )
885 {
887 
888  if( (~lhs).rows() != (~rhs).rows() || (~lhs).columns() != (~rhs).columns() ) {
889  BLAZE_THROW_INVALID_ARGUMENT( "Matrix sizes do not match" );
890  }
891 
893  return ReturnType( ~lhs, ~rhs );
894 }
895 //*************************************************************************************************
896 
897 
898 
899 
900 //=================================================================================================
901 //
902 // SIZE SPECIALIZATIONS
903 //
904 //=================================================================================================
905 
906 //*************************************************************************************************
908 template< typename MT1, typename MT2 >
909 struct Size< SMatTSMatSubExpr<MT1,MT2>, 0UL >
910  : public Maximum< Size<MT1,0UL>, Size<MT2,0UL> >
911 {};
912 
913 template< typename MT1, typename MT2 >
914 struct Size< SMatTSMatSubExpr<MT1,MT2>, 1UL >
915  : public Maximum< Size<MT1,1UL>, Size<MT2,1UL> >
916 {};
918 //*************************************************************************************************
919 
920 
921 
922 
923 //=================================================================================================
924 //
925 // ISSYMMETRIC SPECIALIZATIONS
926 //
927 //=================================================================================================
928 
929 //*************************************************************************************************
931 template< typename MT1, typename MT2 >
932 struct IsSymmetric< SMatTSMatSubExpr<MT1,MT2> >
933  : public And< IsSymmetric<MT1>, IsSymmetric<MT2> >
934 {};
936 //*************************************************************************************************
937 
938 
939 
940 
941 //=================================================================================================
942 //
943 // ISHERMITIAN SPECIALIZATIONS
944 //
945 //=================================================================================================
946 
947 //*************************************************************************************************
949 template< typename MT1, typename MT2 >
950 struct IsHermitian< SMatTSMatSubExpr<MT1,MT2> >
951  : public And< IsHermitian<MT1>, IsHermitian<MT2> >
952 {};
954 //*************************************************************************************************
955 
956 
957 
958 
959 //=================================================================================================
960 //
961 // ISLOWER SPECIALIZATIONS
962 //
963 //=================================================================================================
964 
965 //*************************************************************************************************
967 template< typename MT1, typename MT2 >
968 struct IsLower< SMatTSMatSubExpr<MT1,MT2> >
969  : public And< IsLower<MT1>, IsLower<MT2> >
970 {};
972 //*************************************************************************************************
973 
974 
975 
976 
977 //=================================================================================================
978 //
979 // ISUNILOWER SPECIALIZATIONS
980 //
981 //=================================================================================================
982 
983 //*************************************************************************************************
985 template< typename MT1, typename MT2 >
986 struct IsUniLower< SMatTSMatSubExpr<MT1,MT2> >
987  : public And< IsUniLower<MT1>, IsStrictlyLower<MT2> >
988 {};
990 //*************************************************************************************************
991 
992 
993 
994 
995 //=================================================================================================
996 //
997 // ISSTRICTLYLOWER SPECIALIZATIONS
998 //
999 //=================================================================================================
1000 
1001 //*************************************************************************************************
1003 template< typename MT1, typename MT2 >
1004 struct IsStrictlyLower< SMatTSMatSubExpr<MT1,MT2> >
1005  : public And< IsStrictlyLower<MT1>, IsStrictlyLower<MT2> >
1006 {};
1008 //*************************************************************************************************
1009 
1010 
1011 
1012 
1013 //=================================================================================================
1014 //
1015 // ISUPPER SPECIALIZATIONS
1016 //
1017 //=================================================================================================
1018 
1019 //*************************************************************************************************
1021 template< typename MT1, typename MT2 >
1022 struct IsUpper< SMatTSMatSubExpr<MT1,MT2> >
1023  : public And< IsUpper<MT1>, IsUpper<MT2> >
1024 {};
1026 //*************************************************************************************************
1027 
1028 
1029 
1030 
1031 //=================================================================================================
1032 //
1033 // ISUNIUPPER SPECIALIZATIONS
1034 //
1035 //=================================================================================================
1036 
1037 //*************************************************************************************************
1039 template< typename MT1, typename MT2 >
1040 struct IsUniUpper< SMatTSMatSubExpr<MT1,MT2> >
1041  : public And< IsUniUpper<MT1>, IsStrictlyUpper<MT2> >
1042 {};
1044 //*************************************************************************************************
1045 
1046 
1047 
1048 
1049 //=================================================================================================
1050 //
1051 // ISSTRICTLYUPPER SPECIALIZATIONS
1052 //
1053 //=================================================================================================
1054 
1055 //*************************************************************************************************
1057 template< typename MT1, typename MT2 >
1058 struct IsStrictlyUpper< SMatTSMatSubExpr<MT1,MT2> >
1059  : public And< IsStrictlyUpper<MT1>, IsStrictlyUpper<MT2> >
1060 {};
1062 //*************************************************************************************************
1063 
1064 } // namespace blaze
1065 
1066 #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
RightOperand rightOperand() const noexcept
Returns the right-hand side transpose sparse matrix operand.
Definition: SMatTSMatSubExpr.h:288
Header file for auxiliary alias declarations.
LeftOperand leftOperand() const noexcept
Returns the left-hand side sparse matrix operand.
Definition: SMatTSMatSubExpr.h:278
Compile time check whether the given type is a temporary vector or matrix type.This type trait class ...
Definition: IsTemporary.h:69
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.
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: SMatTSMatSubExpr.h:312
ReturnType_< MT1 > RN1
Return type of the left-hand side sparse matrix expression.
Definition: SMatTSMatSubExpr.h:109
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.
size_t nonZeros() const
Returns the number of non-zero elements in the sparse matrix.
Definition: SMatTSMatSubExpr.h:257
CompositeType_< MT2 > CT2
Composite type of the right-hand side sparse matrix expression.
Definition: SMatTSMatSubExpr.h:112
LeftOperand lhs_
Left-hand side sparse matrix of the subtraction expression.
Definition: SMatTSMatSubExpr.h:319
ElementType_< ResultType > ElementType
Resulting element type.
Definition: SMatTSMatSubExpr.h:164
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:87
Header file for the Computation base class.
Compile time check for upper triangular matrices.This type trait tests whether or not the given templ...
Definition: IsUpper.h:87
Constraints on the storage order of matrix types.
const ResultType CompositeType
Data type for composite expression templates.
Definition: SMatTSMatSubExpr.h:170
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
Base class for dense matrices.The DenseMatrix class is a base class for all dense matrix classes...
Definition: DenseMatrix.h:80
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
typename T::ReturnType ReturnType_
Alias declaration for nested ReturnType type definitions.The ReturnType_ alias declaration provides a...
Definition: Aliases.h:363
Header file for the SparseMatrix base class.
ReturnType_< MT2 > RN2
Return type of the right-hand side sparse matrix expression.
Definition: SMatTSMatSubExpr.h:110
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.
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: SMatTSMatSubExpr.h:221
Header file for the Maximum class template.
OppositeType_< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: SMatTSMatSubExpr.h:162
typename T::CompositeType CompositeType_
Alias declaration for nested CompositeType type definitions.The CompositeType_ alias declaration prov...
Definition: Aliases.h:83
Compile time check for upper unitriangular matrices.This type trait tests whether or not the given te...
Definition: IsUniUpper.h:86
If_< IsExpression< MT1 >, const MT1, const MT1 &> LeftOperand
Composite type of the left-hand side sparse matrix expression.
Definition: SMatTSMatSubExpr.h:173
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: SMatTSMatSubExpr.h:247
Header file for the DisableIf class template.
Header file for the IsTemporary type trait class.
Header file for the IsStrictlyUpper type trait.
Header file for the IsSymmetric type trait.
Namespace of the Blaze C++ math library.
Definition: Blaze.h:58
Header file for the If class template.
size_t nonZeros(size_t i) const
Returns the number of non-zero elements in the specified row.
Definition: SMatTSMatSubExpr.h:268
const IfTrue_< returnExpr, ExprReturnType, ElementType > ReturnType
Return type for expression template evaluations.
Definition: SMatTSMatSubExpr.h:167
#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:128
#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
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.
CompositeType_< MT1 > CT1
Composite type of the left-hand side sparse matrix expression.
Definition: SMatTSMatSubExpr.h:111
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.
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:430
ResultType_< MT1 > RT1
Result type of the left-hand side sparse matrix expression.
Definition: SMatTSMatSubExpr.h:107
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.
#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
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
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: SMatTSMatSubExpr.h:206
#define BLAZE_CONSTRAINT_MUST_NOT_BE_SYMMETRIC_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is a symmetric matrix type, a compilation error is created.
Definition: Symmetric.h:79
#define BLAZE_CONSTRAINT_MUST_BE_ROW_MAJOR_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is not a row-major dense or sparse matrix t...
Definition: RowMajorMatrix.h:61
Header file for run time assertion macros.
ResultType_< MT2 > RT2
Result type of the right-hand side sparse matrix expression.
Definition: SMatTSMatSubExpr.h:108
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
SubTrait_< RT1, RT2 > ResultType
Result type for expression template evaluations.
Definition: SMatTSMatSubExpr.h:161
#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.
SubExprTrait_< RN1, RN2 > ExprReturnType
Expression return type for the subscript operator.
Definition: SMatTSMatSubExpr.h:125
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:816
#define BLAZE_CONSTRAINT_MUST_NOT_REQUIRE_EVALUATION(T)
Constraint on the data type.In case the given data type T requires an intermediate evaluation within ...
Definition: RequiresEvaluation.h:81
Header file for the RemoveReference type trait.
typename EnableIf< Condition, T >::Type EnableIf_
Auxiliary alias declaration for the EnableIf class template.The EnableIf_ alias declaration provides ...
Definition: EnableIf.h:224
typename T::OppositeType OppositeType_
Alias declaration for nested OppositeType type definitions.The OppositeType_ alias declaration provid...
Definition: Aliases.h:263
Compile time check for strictly lower triangular matrices.This type trait tests whether or not the gi...
Definition: IsStrictlyLower.h:86
const Type & ReturnType
Return type for expression template evaluations.
Definition: CompressedMatrix.h:3080
typename T::ConstIterator ConstIterator_
Alias declaration for nested ConstIterator type definitions.The ConstIterator_ alias declaration prov...
Definition: Aliases.h:103
decltype(auto) trans(const DenseMatrix< MT, SO > &dm)
Calculation of the transpose of the given dense matrix.
Definition: DMatTransExpr.h:789
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: SMatTSMatSubExpr.h:163
Header file for the IsComputation type trait class.
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: SMatTSMatSubExpr.h:300
typename SubTrait< T1, T2 >::Type SubTrait_
Auxiliary alias declaration for the SubTrait class template.The SubTrait_ alias declaration provides ...
Definition: SubTrait.h:291
Compile time evaluation of the size of vectors and matrices.The Size type trait evaluates the size of...
Definition: Size.h:80
If_< IsExpression< MT2 >, const MT2, const MT2 &> RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: SMatTSMatSubExpr.h:176
SMatTSMatSubExpr(const MT1 &lhs, const MT2 &rhs) noexcept
Constructor for the SMatTSMatSubExpr class.
Definition: SMatTSMatSubExpr.h:190
RightOperand rhs_
Right-hand side sparse matrix of the subtraction expression.
Definition: SMatTSMatSubExpr.h:320
Compile time logical &#39;and&#39; evaluation.The And alias declaration performs at compile time a logical &#39;a...
Definition: And.h:76
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: SMatTSMatSubExpr.h:237
#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:107
bool isDefault(const DiagonalProxy< MT > &proxy)
Returns whether the represented element is in default state.
Definition: DiagonalProxy.h:628
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.
Header file for the Size type trait.
#define BLAZE_INTERNAL_ASSERT(expr, msg)
Run time assertion macro for internal checks.In case of an invalid run time expression, the program execution is terminated. The BLAZE_INTERNAL_ASSERT macro can be disabled by setting the BLAZE_USER_ASSERTION flag to zero or by defining NDEBUG during the compilation.
Definition: Assert.h:101
#define BLAZE_CONSTRAINT_MUST_BE_SPARSE_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is not a sparse, N-dimensional matrix type...
Definition: SparseMatrix.h:61
Header file for the IsExpression type trait class.
Header file for the function trace functionality.