TSMatSMatSubExpr.h
Go to the documentation of this file.
1 //=================================================================================================
33 //=================================================================================================
34 
35 #ifndef _BLAZE_MATH_EXPRESSIONS_TSMATSMATSUBEXPR_H_
36 #define _BLAZE_MATH_EXPRESSIONS_TSMATSMATSUBEXPR_H_
37 
38 
39 //*************************************************************************************************
40 // Includes
41 //*************************************************************************************************
42 
43 #include <blaze/math/Aliases.h>
51 #include <blaze/math/Exception.h>
74 #include <blaze/util/Assert.h>
75 #include <blaze/util/DisableIf.h>
76 #include <blaze/util/EnableIf.h>
79 #include <blaze/util/mpl/And.h>
80 #include <blaze/util/mpl/If.h>
81 #include <blaze/util/mpl/Maximum.h>
82 #include <blaze/util/Types.h>
84 
85 
86 namespace blaze {
87 
88 //=================================================================================================
89 //
90 // CLASS TSMATSMATSUBEXPR
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 TSMatSMatSubExpr
104  : public MatMatSubExpr< SparseMatrix< TSMatSMatSubExpr<MT1,MT2>, false > >
105  , private Computation
106 {
107  private:
108  //**Type definitions****************************************************************************
115  //**********************************************************************************************
116 
117  //**Return type evaluation**********************************************************************
119 
124  enum : bool { returnExpr = !IsTemporary<RN1>::value && !IsTemporary<RN2>::value };
125 
128  //**********************************************************************************************
129 
130  //**Serial evaluation strategy******************************************************************
132 
138  template< typename T1, typename T2 >
139  struct UseSymmetricKernel {
141  enum : bool { value = IsSymmetric<T2>::value };
142  };
144  //**********************************************************************************************
145 
146  //**Parallel evaluation strategy****************************************************************
148 
153  template< typename MT >
154  struct UseSMPAssign {
155  enum : bool { value = MT::smpAssignable };
156  };
158  //**********************************************************************************************
159 
160  public:
161  //**Type definitions****************************************************************************
167 
170 
172  using CompositeType = const ResultType;
173 
175  using LeftOperand = If_< IsExpression<MT1>, const MT1, const MT1& >;
176 
178  using RightOperand = If_< IsExpression<MT2>, const MT2, const MT2& >;
179  //**********************************************************************************************
180 
181  //**Compilation flags***************************************************************************
183  enum : bool { smpAssignable = false };
184  //**********************************************************************************************
185 
186  //**Constructor*********************************************************************************
192  explicit inline TSMatSMatSubExpr( const MT1& lhs, const MT2& rhs ) noexcept
193  : lhs_( lhs ) // Left-hand side sparse matrix of the subtraction expression
194  , rhs_( rhs ) // Right-hand side sparse matrix of the subtraction expression
195  {
196  BLAZE_INTERNAL_ASSERT( lhs.rows() == rhs.rows() , "Invalid number of rows" );
197  BLAZE_INTERNAL_ASSERT( lhs.columns() == rhs.columns(), "Invalid number of columns" );
198  }
199  //**********************************************************************************************
200 
201  //**Access operator*****************************************************************************
208  inline ReturnType operator()( size_t i, size_t j ) const {
209  BLAZE_INTERNAL_ASSERT( i < lhs_.rows() , "Invalid row access index" );
210  BLAZE_INTERNAL_ASSERT( j < lhs_.columns(), "Invalid column access index" );
211  return lhs_(i,j) - rhs_(i,j);
212  }
213  //**********************************************************************************************
214 
215  //**At function*********************************************************************************
223  inline ReturnType at( size_t i, size_t j ) const {
224  if( i >= lhs_.rows() ) {
225  BLAZE_THROW_OUT_OF_RANGE( "Invalid row access index" );
226  }
227  if( j >= lhs_.columns() ) {
228  BLAZE_THROW_OUT_OF_RANGE( "Invalid column access index" );
229  }
230  return (*this)(i,j);
231  }
232  //**********************************************************************************************
233 
234  //**Rows function*******************************************************************************
239  inline size_t rows() const noexcept {
240  return lhs_.rows();
241  }
242  //**********************************************************************************************
243 
244  //**Columns function****************************************************************************
249  inline size_t columns() const noexcept {
250  return lhs_.columns();
251  }
252  //**********************************************************************************************
253 
254  //**NonZeros function***************************************************************************
259  inline size_t nonZeros() const {
260  return lhs_.nonZeros() + rhs_.nonZeros();
261  }
262  //**********************************************************************************************
263 
264  //**NonZeros function***************************************************************************
270  inline size_t nonZeros( size_t i ) const {
271  return lhs_.nonZeros(i) + rhs_.nonZeros(i);
272  }
273  //**********************************************************************************************
274 
275  //**Left operand access*************************************************************************
280  inline LeftOperand leftOperand() const noexcept {
281  return lhs_;
282  }
283  //**********************************************************************************************
284 
285  //**Right operand access************************************************************************
290  inline RightOperand rightOperand() const noexcept {
291  return rhs_;
292  }
293  //**********************************************************************************************
294 
295  //**********************************************************************************************
301  template< typename T >
302  inline bool canAlias( const T* alias ) const noexcept {
303  return ( lhs_.canAlias( alias ) || rhs_.canAlias( alias ) );
304  }
305  //**********************************************************************************************
306 
307  //**********************************************************************************************
313  template< typename T >
314  inline bool isAliased( const T* alias ) const noexcept {
315  return ( lhs_.isAliased( alias ) || rhs_.isAliased( alias ) );
316  }
317  //**********************************************************************************************
318 
319  private:
320  //**Member variables****************************************************************************
323  //**********************************************************************************************
324 
325  //**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 TSMatSMatSubExpr& 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  using RightIterator = ConstIterator_< RemoveReference_<CT2> >;
347 
348  assign( ~lhs, rhs.lhs_ );
349 
350  if( !IsResizable< ElementType_<MT> >::value ) {
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 i=0UL; i<(~lhs).rows(); ++i ) {
363  const RightIterator end( B.end(i) );
364  for( RightIterator element=B.begin(i); element!=end; ++element ) {
365  if( isDefault( (~lhs)(i,element->index()) ) )
366  (~lhs)(i,element->index()) = -element->value();
367  else
368  (~lhs)(i,element->index()) -= 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
391  assign( SparseMatrix<MT,false>& lhs, const TSMatSMatSubExpr& rhs )
392  {
394 
395  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
396  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
397 
398  using LeftIterator = ConstIterator_< OppositeType_<RT1> >;
399  using RightIterator = ConstIterator_< RemoveReference_<CT2> >;
400 
401  // Evaluation of the left-hand side sparse matrix operand
402  const OppositeType_<RT1> A( serial( rhs.lhs_ ) );
403 
404  // Evaluation of the right-hand side sparse matrix operand
405  CT2 B( serial( rhs.rhs_ ) );
406 
407  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.lhs_.rows() , "Invalid number of rows" );
408  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.lhs_.columns(), "Invalid number of columns" );
409  BLAZE_INTERNAL_ASSERT( B.rows() == rhs.rhs_.rows() , "Invalid number of rows" );
410  BLAZE_INTERNAL_ASSERT( B.columns() == rhs.rhs_.columns(), "Invalid number of columns" );
411  BLAZE_INTERNAL_ASSERT( A.rows() == (~lhs).rows() , "Invalid number of rows" );
412  BLAZE_INTERNAL_ASSERT( A.columns() == (~lhs).columns() , "Invalid number of columns" );
413 
414  // Final memory allocation (based on the evaluated operands)
415  (~lhs).reserve( A.nonZeros() + B.nonZeros() );
416 
417  // Performing the matrix subtraction
418  for( size_t i=0UL; i<(~lhs).rows(); ++i )
419  {
420  const LeftIterator lend( A.end(i) );
421  const RightIterator rend( B.end(i) );
422 
423  LeftIterator l( A.begin(i) );
424  RightIterator r( B.begin(i) );
425 
426  while( l != lend && r != rend )
427  {
428  if( l->index() < r->index() ) {
429  (~lhs).append( i, l->index(), l->value() );
430  ++l;
431  }
432  else if( l->index() > r->index() ) {
433  (~lhs).append( i, r->index(), -r->value() );
434  ++r;
435  }
436  else {
437  (~lhs).append( i, l->index(), l->value() - r->value() );
438  ++l;
439  ++r;
440  }
441  }
442 
443  while( l != lend ) {
444  (~lhs).append( i, l->index(), l->value() );
445  ++l;
446  }
447 
448  while( r != rend ) {
449  (~lhs).append( i, r->index(), -r->value() );
450  ++r;
451  }
452 
453  (~lhs).finalize( i );
454  }
455  }
457  //**********************************************************************************************
458 
459  //**Assignment to row-major sparse matrices*****************************************************
472  template< typename MT > // Type of the target sparse matrix
474  assign( SparseMatrix<MT,false>& lhs, const TSMatSMatSubExpr& rhs )
475  {
477 
478  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
479  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
480 
481  assign( ~lhs, trans( rhs.lhs_ ) - rhs.rhs_ );
482  }
484  //**********************************************************************************************
485 
486  //**Assignment to column-major sparse matrices**************************************************
499  template< typename MT > // Type of the target sparse matrix
501  assign( SparseMatrix<MT,true>& lhs, const TSMatSMatSubExpr& rhs )
502  {
504 
506 
507  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
508  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
509 
510  using LeftIterator = ConstIterator_< RemoveReference_<CT1> >;
511  using RightIterator = ConstIterator_< OppositeType_<RT2> >;
512 
513  // Evaluation of the left-hand side sparse matrix operand
514  CT1 A( serial( rhs.lhs_ ) );
515 
516  // Evaluation of the right-hand side sparse matrix operand
517  const OppositeType_<RT2> B( serial( rhs.rhs_ ) );
518 
519  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.lhs_.rows() , "Invalid number of rows" );
520  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.lhs_.columns(), "Invalid number of columns" );
521  BLAZE_INTERNAL_ASSERT( B.rows() == rhs.rhs_.rows() , "Invalid number of rows" );
522  BLAZE_INTERNAL_ASSERT( B.columns() == rhs.rhs_.columns(), "Invalid number of columns" );
523  BLAZE_INTERNAL_ASSERT( A.rows() == (~lhs).rows() , "Invalid number of rows" );
524  BLAZE_INTERNAL_ASSERT( A.columns() == (~lhs).columns() , "Invalid number of columns" );
525 
526  // Final memory allocation (based on the evaluated operands)
527  (~lhs).reserve( A.nonZeros() + B.nonZeros() );
528 
529  // Performing the matrix subtraction
530  for( size_t j=0UL; j<(~lhs).columns(); ++j )
531  {
532  const LeftIterator lend( A.end(j) );
533  const RightIterator rend( B.end(j) );
534 
535  LeftIterator l( A.begin(j) );
536  RightIterator r( B.begin(j) );
537 
538  while( l != lend && r != rend )
539  {
540  if( l->index() < r->index() ) {
541  (~lhs).append( l->index(), j, l->value() );
542  ++l;
543  }
544  else if( l->index() > r->index() ) {
545  (~lhs).append( r->index(), j, -r->value() );
546  ++r;
547  }
548  else {
549  (~lhs).append( l->index(), j, l->value() - r->value() );
550  ++l;
551  ++r;
552  }
553  }
554 
555  while( l != lend ) {
556  (~lhs).append( l->index(), j, l->value() );
557  ++l;
558  }
559 
560  while( r != rend ) {
561  (~lhs).append( r->index(), j, -r->value() );
562  ++r;
563  }
564 
565  (~lhs).finalize( j );
566  }
567  }
569  //**********************************************************************************************
570 
571  //**Assignment to column-major sparse matrices**************************************************
584  template< typename MT > // Type of the target sparse matrix
586  assign( SparseMatrix<MT,true>& lhs, const TSMatSMatSubExpr& rhs )
587  {
589 
591 
592  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
593  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
594 
595  assign( ~lhs, rhs.lhs_ - trans( rhs.rhs_ ) );
596  }
598  //**********************************************************************************************
599 
600  //**Addition assignment to dense matrices*******************************************************
613  template< typename MT // Type of the target dense matrix
614  , bool SO > // Storage order of the target dense matrix
615  friend inline void addAssign( DenseMatrix<MT,SO>& lhs, const TSMatSMatSubExpr& rhs )
616  {
618 
619  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
620  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
621 
622  addAssign( ~lhs, rhs.lhs_ );
623  subAssign( ~lhs, rhs.rhs_ );
624  }
626  //**********************************************************************************************
627 
628  //**Addition assignment to sparse matrices******************************************************
629  // No special implementation for the addition assignment to sparse matrices.
630  //**********************************************************************************************
631 
632  //**Subtraction assignment to dense matrices****************************************************
645  template< typename MT // Type of the target dense matrix
646  , bool SO > // Storage order of the target dense matrix
647  friend inline void subAssign( DenseMatrix<MT,SO>& lhs, const TSMatSMatSubExpr& rhs )
648  {
650 
651  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
652  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
653 
654  subAssign( ~lhs, rhs.lhs_ );
655  addAssign( ~lhs, rhs.rhs_ );
656  }
658  //**********************************************************************************************
659 
660  //**Subtraction assignment to sparse matrices***************************************************
661  // No special implementation for the subtraction assignment to sparse matrices.
662  //**********************************************************************************************
663 
664  //**Schur product assignment to dense matrices**************************************************
677  template< typename MT // Type of the target dense matrix
678  , bool SO > // Storage order of the target dense matrix
679  friend inline void schurAssign( DenseMatrix<MT,SO>& lhs, const TSMatSMatSubExpr& rhs )
680  {
682 
686 
687  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
688  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
689 
690  const ResultType tmp( serial( rhs ) );
691  schurAssign( ~lhs, tmp );
692  }
694  //**********************************************************************************************
695 
696  //**Schur product assignment to sparse matrices*************************************************
697  // No special implementation for the Schur product assignment to sparse matrices.
698  //**********************************************************************************************
699 
700  //**Multiplication assignment to dense matrices*************************************************
701  // No special implementation for the multiplication assignment to dense matrices.
702  //**********************************************************************************************
703 
704  //**Multiplication assignment to sparse matrices************************************************
705  // No special implementation for the multiplication assignment to sparse matrices.
706  //**********************************************************************************************
707 
708  //**SMP assignment to dense matrices************************************************************
709  // No special implementation for the SMP assignment to dense matrices.
710  //**********************************************************************************************
711 
712  //**SMP assignment to sparse matrices***********************************************************
713  // No special implementation for the SMP assignment to sparse matrices.
714  //**********************************************************************************************
715 
716  //**SMP addition assignment to dense matrices*******************************************************
731  template< typename MT // Type of the target dense matrix
732  , bool SO > // Storage order of the target dense matrix
733  friend inline EnableIf_< UseSMPAssign<MT> >
735  {
737 
738  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
739  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
740 
741  smpAddAssign( ~lhs, rhs.lhs_ );
742  smpSubAssign( ~lhs, rhs.rhs_ );
743  }
745  //**********************************************************************************************
746 
747  //**SMP addition assignment to sparse matrices**************************************************
748  // No special implementation for the SMP addition assignment to sparse matrices.
749  //**********************************************************************************************
750 
751  //**SMP subtraction assignment to dense matrices************************************************
766  template< typename MT // Type of the target dense matrix
767  , bool SO > // Storage order of the target dense matrix
768  friend inline EnableIf_< UseSMPAssign<MT> >
770  {
772 
773  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
774  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
775 
776  smpSubAssign( ~lhs, rhs.lhs_ );
777  smpAddAssign( ~lhs, rhs.rhs_ );
778  }
780  //**********************************************************************************************
781 
782  //**SMP subtraction assignment to sparse matrices***********************************************
783  // No special implementation for the SMP subtraction assignment to sparse matrices.
784  //**********************************************************************************************
785 
786  //**SMP Schur product assignment to dense matrices**********************************************
801  template< typename MT // Type of the target dense matrix
802  , bool SO > // Storage order of the target dense matrix
803  friend inline EnableIf_< UseSMPAssign<MT> >
805  {
807 
811 
812  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
813  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
814 
815  const ResultType tmp( rhs );
816  smpSchurAssign( ~lhs, tmp );
817  }
819  //**********************************************************************************************
820 
821  //**SMP Schur product assignment to sparse matrices*********************************************
822  // No special implementation for the SMP Schur product assignment to sparse matrices.
823  //**********************************************************************************************
824 
825  //**SMP multiplication assignment to dense matrices*********************************************
826  // No special implementation for the SMP multiplication assignment to dense matrices.
827  //**********************************************************************************************
828 
829  //**SMP multiplication assignment to sparse matrices********************************************
830  // No special implementation for the SMP multiplication assignment to sparse matrices.
831  //**********************************************************************************************
832 
833  //**Compile time checks*************************************************************************
841  //**********************************************************************************************
842 };
843 //*************************************************************************************************
844 
845 
846 
847 
848 //=================================================================================================
849 //
850 // GLOBAL BINARY ARITHMETIC OPERATORS
851 //
852 //=================================================================================================
853 
854 //*************************************************************************************************
883 template< typename MT1 // Type of the left-hand side sparse matrix
884  , typename MT2 > // Type of the right-hand side sparse matrix
885 inline decltype(auto)
886  operator-( const SparseMatrix<MT1,true>& lhs, const SparseMatrix<MT2,false>& rhs )
887 {
889 
890  if( (~lhs).rows() != (~rhs).rows() || (~lhs).columns() != (~rhs).columns() ) {
891  BLAZE_THROW_INVALID_ARGUMENT( "Matrix sizes do not match" );
892  }
893 
895  return ReturnType( ~lhs, ~rhs );
896 }
897 //*************************************************************************************************
898 
899 
900 
901 
902 //=================================================================================================
903 //
904 // ROWS SPECIALIZATIONS
905 //
906 //=================================================================================================
907 
908 //*************************************************************************************************
910 template< typename MT1, typename MT2 >
911 struct Rows< TSMatSMatSubExpr<MT1,MT2> >
912  : public Maximum< Rows<MT1>, Rows<MT2> >
913 {};
915 //*************************************************************************************************
916 
917 
918 
919 
920 //=================================================================================================
921 //
922 // COLUMNS SPECIALIZATIONS
923 //
924 //=================================================================================================
925 
926 //*************************************************************************************************
928 template< typename MT1, typename MT2 >
929 struct Columns< TSMatSMatSubExpr<MT1,MT2> >
930  : public Maximum< Columns<MT1>, Columns<MT2> >
931 {};
933 //*************************************************************************************************
934 
935 
936 
937 
938 //=================================================================================================
939 //
940 // ISSYMMETRIC SPECIALIZATIONS
941 //
942 //=================================================================================================
943 
944 //*************************************************************************************************
946 template< typename MT1, typename MT2 >
947 struct IsSymmetric< TSMatSMatSubExpr<MT1,MT2> >
948  : public BoolConstant< IsSymmetric<MT1>::value && IsSymmetric<MT2>::value >
949 {};
951 //*************************************************************************************************
952 
953 
954 
955 
956 //=================================================================================================
957 //
958 // ISHERMITIAN SPECIALIZATIONS
959 //
960 //=================================================================================================
961 
962 //*************************************************************************************************
964 template< typename MT1, typename MT2 >
965 struct IsHermitian< TSMatSMatSubExpr<MT1,MT2> >
966  : public BoolConstant< IsHermitian<MT1>::value && IsHermitian<MT2>::value >
967 {};
969 //*************************************************************************************************
970 
971 
972 
973 
974 //=================================================================================================
975 //
976 // ISLOWER SPECIALIZATIONS
977 //
978 //=================================================================================================
979 
980 //*************************************************************************************************
982 template< typename MT1, typename MT2 >
983 struct IsLower< TSMatSMatSubExpr<MT1,MT2> >
984  : public BoolConstant< And< IsLower<MT1>, IsLower<MT2> >::value >
985 {};
987 //*************************************************************************************************
988 
989 
990 
991 
992 //=================================================================================================
993 //
994 // ISUNILOWER SPECIALIZATIONS
995 //
996 //=================================================================================================
997 
998 //*************************************************************************************************
1000 template< typename MT1, typename MT2 >
1001 struct IsUniLower< TSMatSMatSubExpr<MT1,MT2> >
1002  : public BoolConstant< And< IsUniLower<MT1>, IsStrictlyLower<MT2> >::value >
1003 {};
1005 //*************************************************************************************************
1006 
1007 
1008 
1009 
1010 //=================================================================================================
1011 //
1012 // ISSTRICTLYLOWER SPECIALIZATIONS
1013 //
1014 //=================================================================================================
1015 
1016 //*************************************************************************************************
1018 template< typename MT1, typename MT2 >
1019 struct IsStrictlyLower< TSMatSMatSubExpr<MT1,MT2> >
1020  : public BoolConstant< And< IsStrictlyLower<MT1>, IsStrictlyLower<MT2> >::value >
1021 {};
1023 //*************************************************************************************************
1024 
1025 
1026 
1027 
1028 //=================================================================================================
1029 //
1030 // ISUPPER SPECIALIZATIONS
1031 //
1032 //=================================================================================================
1033 
1034 //*************************************************************************************************
1036 template< typename MT1, typename MT2 >
1037 struct IsUpper< TSMatSMatSubExpr<MT1,MT2> >
1038  : public BoolConstant< And< IsUpper<MT1>, IsUpper<MT2> >::value >
1039 {};
1041 //*************************************************************************************************
1042 
1043 
1044 
1045 
1046 //=================================================================================================
1047 //
1048 // ISUNIUPPER SPECIALIZATIONS
1049 //
1050 //=================================================================================================
1051 
1052 //*************************************************************************************************
1054 template< typename MT1, typename MT2 >
1055 struct IsUniUpper< TSMatSMatSubExpr<MT1,MT2> >
1056  : public BoolConstant< And< IsUniUpper<MT1>, IsStrictlyUpper<MT2> >::value >
1057 {};
1059 //*************************************************************************************************
1060 
1061 
1062 
1063 
1064 //=================================================================================================
1065 //
1066 // ISSTRICTLYUPPER SPECIALIZATIONS
1067 //
1068 //=================================================================================================
1069 
1070 //*************************************************************************************************
1072 template< typename MT1, typename MT2 >
1073 struct IsStrictlyUpper< TSMatSMatSubExpr<MT1,MT2> >
1074  : public BoolConstant< And< IsStrictlyUpper<MT1>, IsStrictlyUpper<MT2> >::value >
1075 {};
1077 //*************************************************************************************************
1078 
1079 } // namespace blaze
1080 
1081 #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
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: TSMatSMatSubExpr.h:239
Header file for auxiliary alias declarations.
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.
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: TSMatSMatSubExpr.h:165
RightOperand rightOperand() const noexcept
Returns the right-hand side sparse matrix operand.
Definition: TSMatSMatSubExpr.h:290
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: TSMatSMatSubExpr.h:249
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: TSMatSMatSubExpr.h:314
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.
Generic wrapper for a compile time constant integral value.The IntegralConstant class template repres...
Definition: IntegralConstant.h:71
CompositeType_< MT2 > CT2
Composite type of the right-hand side sparse matrix expression.
Definition: TSMatSMatSubExpr.h:114
If_< IsExpression< MT2 >, const MT2, const MT2 &> RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: TSMatSMatSubExpr.h:178
typename DisableIf< Condition, T >::Type DisableIf_
Auxiliary type for the DisableIf class template.The DisableIf_ alias declaration provides a convenien...
Definition: DisableIf.h:224
LeftOperand leftOperand() const noexcept
Returns the left-hand side transpose sparse matrix operand.
Definition: TSMatSMatSubExpr.h:280
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
CompositeType_< MT1 > CT1
Composite type of the left-hand side sparse matrix expression.
Definition: TSMatSMatSubExpr.h:113
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:88
Constraints on the storage order of matrix types.
Header file for the IsUniLower type trait.
typename T::ResultType ResultType_
Alias declaration for nested ResultType type definitions.The ResultType_ alias declaration provides a...
Definition: Aliases.h: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: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
typename T::ReturnType ReturnType_
Alias declaration for nested ReturnType type definitions.The ReturnType_ alias declaration provides a...
Definition: Aliases.h:363
ReturnType_< MT1 > RN1
Return type of the left-hand side sparse matrix expression.
Definition: TSMatSMatSubExpr.h:111
Header file for the SparseMatrix base class.
typename SubExprTrait< T1, T2 >::Type SubExprTrait_
Auxiliary alias declaration for the SubExprTrait class template.The SubExprTrait_ alias declaration p...
Definition: SubExprTrait.h: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
Header file for the DisableIf class template.
Header file for the IsTemporary type trait class.
Header file for the IsStrictlyUpper type trait.
Header file for the IsSymmetric type trait.
Namespace of the Blaze C++ math library.
Definition: Blaze.h:57
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
TSMatSMatSubExpr(const MT1 &lhs, const MT2 &rhs) noexcept
Constructor for the TSMatSMatSubExpr class.
Definition: TSMatSMatSubExpr.h:192
#define BLAZE_THROW_OUT_OF_RANGE(MESSAGE)
Macro for the emission of a std::out_of_range exception.This macro encapsulates the default way of Bl...
Definition: Exception.h:331
Header file for the Columns type trait.
SubTrait_< RT1, RT2 > ResultType
Result type for expression template evaluations.
Definition: TSMatSMatSubExpr.h:163
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.
ReturnType_< MT2 > RN2
Return type of the right-hand side sparse matrix expression.
Definition: TSMatSMatSubExpr.h:112
Header file for the IsLower type trait.
const ResultType CompositeType
Data type for composite expression templates.
Definition: TSMatSMatSubExpr.h:172
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: TSMatSMatSubExpr.h:302
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
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: TSMatSMatSubExpr.h:208
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.
#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
SubExprTrait_< RN1, RN2 > ExprReturnType
Expression return type for the subscript operator.
Definition: TSMatSMatSubExpr.h:127
size_t nonZeros(size_t i) const
Returns the number of non-zero elements in the specified row.
Definition: TSMatSMatSubExpr.h:270
Compile time check for resizable data types.This type trait tests whether the given data type is a re...
Definition: IsResizable.h:75
#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
const IfTrue_< returnExpr, ExprReturnType, ElementType > ReturnType
Return type for expression template evaluations.
Definition: TSMatSMatSubExpr.h:169
ResultType_< MT1 > RT1
Result type of the left-hand side sparse matrix expression.
Definition: TSMatSMatSubExpr.h:109
Header file for run time assertion macros.
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
#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
ResultType_< MT2 > RT2
Result type of the right-hand side sparse matrix expression.
Definition: TSMatSMatSubExpr.h:110
#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 lhs_
Left-hand side sparse matrix of the subtraction expression.
Definition: TSMatSMatSubExpr.h:321
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:3082
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:790
OppositeType_< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: TSMatSMatSubExpr.h:164
Header file for the IsComputation type trait class.
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: TSMatSMatSubExpr.h:223
ElementType_< ResultType > ElementType
Resulting element type.
Definition: TSMatSMatSubExpr.h:166
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
size_t nonZeros() const
Returns the number of non-zero elements in the sparse matrix.
Definition: TSMatSMatSubExpr.h:259
#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.
Expression object for transpose sparse matrix-sparse matrix subtractions.The TSMatSMatSubExpr class r...
Definition: Forward.h:166
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
If_< IsExpression< MT1 >, const MT1, const MT1 &> LeftOperand
Composite type of the left-hand side sparse matrix expression.
Definition: TSMatSMatSubExpr.h:175
RightOperand rhs_
Right-hand side sparse matrix of the subtraction expression.
Definition: TSMatSMatSubExpr.h:322
#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.