TSMatDMatSubExpr.h
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1 //=================================================================================================
33 //=================================================================================================
34 
35 #ifndef _BLAZE_MATH_EXPRESSIONS_TSMATDMATSUBEXPR_H_
36 #define _BLAZE_MATH_EXPRESSIONS_TSMATDMATSUBEXPR_H_
37 
38 
39 //*************************************************************************************************
40 // Includes
41 //*************************************************************************************************
42 
43 #include <blaze/math/Aliases.h>
51 #include <blaze/math/Exception.h>
71 #include <blaze/util/Assert.h>
72 #include <blaze/util/EnableIf.h>
75 #include <blaze/util/InvalidType.h>
76 #include <blaze/util/mpl/And.h>
77 #include <blaze/util/mpl/If.h>
78 #include <blaze/util/mpl/Maximum.h>
79 #include <blaze/util/Types.h>
80 
81 
82 namespace blaze {
83 
84 //=================================================================================================
85 //
86 // CLASS SMATTDMATSUBEXPR
87 //
88 //=================================================================================================
89 
90 //*************************************************************************************************
97 template< typename MT1 // Type of the left-hand side sparse matrix
98  , typename MT2 > // Type of the right-hand side dense matrix
99 class TSMatDMatSubExpr
100  : public MatMatSubExpr< DenseMatrix< TSMatDMatSubExpr<MT1,MT2>, false > >
101  , private Computation
102 {
103  private:
104  //**Type definitions****************************************************************************
109  //**********************************************************************************************
110 
111  //**Return type evaluation**********************************************************************
113 
118  enum : bool { returnExpr = !IsTemporary<RN1>::value && !IsTemporary<RN2>::value };
119 
122  //**********************************************************************************************
123 
124  //**Parallel evaluation strategy****************************************************************
126 
131  template< typename MT >
132  struct UseSMPAssign {
133  enum : bool { value = ( !MT1::smpAssignable || !MT2::smpAssignable ) };
134  };
136  //**********************************************************************************************
137 
138  public:
139  //**Type definitions****************************************************************************
145 
148 
150  using CompositeType = const ResultType;
151 
153  using LeftOperand = If_< IsExpression<MT1>, const MT1, const MT1& >;
154 
156  using RightOperand = If_< IsExpression<MT2>, const MT2, const MT2& >;
157  //**********************************************************************************************
158 
159  //**Compilation flags***************************************************************************
161  enum : bool { simdEnabled = false };
162 
164  enum : bool { smpAssignable = false };
165  //**********************************************************************************************
166 
167  //**Constructor*********************************************************************************
173  explicit inline TSMatDMatSubExpr( const MT1& lhs, const MT2& rhs ) noexcept
174  : lhs_( lhs ) // Left-hand side sparse matrix of the subtraction expression
175  , rhs_( rhs ) // Right-hand side dense matrix of the subtraction expression
176  {
177  BLAZE_INTERNAL_ASSERT( lhs.rows() == rhs.rows() , "Invalid number of rows" );
178  BLAZE_INTERNAL_ASSERT( lhs.columns() == rhs.columns(), "Invalid number of columns" );
179  }
180  //**********************************************************************************************
181 
182  //**Access operator*****************************************************************************
189  inline ReturnType operator()( size_t i, size_t j ) const {
190  BLAZE_INTERNAL_ASSERT( i < lhs_.rows() , "Invalid row access index" );
191  BLAZE_INTERNAL_ASSERT( j < lhs_.columns(), "Invalid column access index" );
192  return lhs_(i,j) - rhs_(i,j);
193  }
194  //**********************************************************************************************
195 
196  //**At function*********************************************************************************
204  inline ReturnType at( size_t i, size_t j ) const {
205  if( i >= lhs_.rows() ) {
206  BLAZE_THROW_OUT_OF_RANGE( "Invalid row access index" );
207  }
208  if( j >= lhs_.columns() ) {
209  BLAZE_THROW_OUT_OF_RANGE( "Invalid column access index" );
210  }
211  return (*this)(i,j);
212  }
213  //**********************************************************************************************
214 
215  //**Rows function*******************************************************************************
220  inline size_t rows() const noexcept {
221  return lhs_.rows();
222  }
223  //**********************************************************************************************
224 
225  //**Columns function****************************************************************************
230  inline size_t columns() const noexcept {
231  return lhs_.columns();
232  }
233  //**********************************************************************************************
234 
235  //**Left operand access*************************************************************************
240  inline LeftOperand leftOperand() const noexcept {
241  return lhs_;
242  }
243  //**********************************************************************************************
244 
245  //**Right operand access************************************************************************
250  inline RightOperand rightOperand() const noexcept {
251  return rhs_;
252  }
253  //**********************************************************************************************
254 
255  //**********************************************************************************************
261  template< typename T >
262  inline bool canAlias( const T* alias ) const noexcept {
263  return ( lhs_.canAlias( alias ) ) ||
264  ( IsExpression<MT2>::value && rhs_.canAlias( alias ) );
265  }
266  //**********************************************************************************************
267 
268  //**********************************************************************************************
274  template< typename T >
275  inline bool isAliased( const T* alias ) const noexcept {
276  return lhs_.isAliased( alias ) || rhs_.isAliased( alias );
277  }
278  //**********************************************************************************************
279 
280  private:
281  //**Member variables****************************************************************************
284  //**********************************************************************************************
285 
286  //**Assignment to dense matrices****************************************************************
298  template< typename MT // Type of the target dense matrix
299  , bool SO2 > // Storage order of the target dense matrix
300  friend inline void assign( DenseMatrix<MT,SO2>& lhs, const TSMatDMatSubExpr& rhs )
301  {
303 
304  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
305  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
306 
307  assign ( ~lhs, -rhs.rhs_ );
308  addAssign( ~lhs, rhs.lhs_ );
309  }
311  //**********************************************************************************************
312 
313  //**Assignment to sparse matrices***************************************************************
325  template< typename MT // Type of the target sparse matrix
326  , bool SO2 > // Storage order of the target sparse matrix
327  friend inline void assign( SparseMatrix<MT,SO2>& lhs, const TSMatDMatSubExpr& rhs )
328  {
330 
332 
339 
340  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
341  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
342 
343  const TmpType tmp( serial( rhs ) );
344  assign( ~lhs, tmp );
345  }
347  //**********************************************************************************************
348 
349  //**Addition assignment to dense matrices*******************************************************
362  template< typename MT // Type of the target dense matrix
363  , bool SO2 > // Storage order of the target dense matrix
364  friend inline void addAssign( DenseMatrix<MT,SO2>& lhs, const TSMatDMatSubExpr& rhs )
365  {
367 
368  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
369  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
370 
371  subAssign( ~lhs, rhs.rhs_ );
372  addAssign( ~lhs, rhs.lhs_ );
373  }
375  //**********************************************************************************************
376 
377  //**Addition assignment to sparse matrices******************************************************
378  // No special implementation for the addition assignment to sparse matrices.
379  //**********************************************************************************************
380 
381  //**Subtraction assignment to dense matrices****************************************************
394  template< typename MT // Type of the target dense matrix
395  , bool SO2 > // Storage order of the target dense matrix
396  friend inline void subAssign( DenseMatrix<MT,SO2>& lhs, const TSMatDMatSubExpr& rhs )
397  {
399 
400  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
401  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
402 
403  addAssign( ~lhs, rhs.rhs_ );
404  subAssign( ~lhs, rhs.lhs_ );
405  }
407  //**********************************************************************************************
408 
409  //**Subtraction assignment to sparse matrices***************************************************
410  // No special implementation for the subtraction assignment to sparse matrices.
411  //**********************************************************************************************
412 
413  //**Schur product assignment to dense matrices**************************************************
426  template< typename MT // Type of the target dense matrix
427  , bool SO2 > // Storage order of the target dense matrix
428  friend inline void schurAssign( DenseMatrix<MT,SO2>& lhs, const TSMatDMatSubExpr& rhs )
429  {
431 
435 
436  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
437  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
438 
439  const ResultType tmp( serial( rhs ) );
440  schurAssign( ~lhs, tmp );
441  }
443  //**********************************************************************************************
444 
445  //**Schur product assignment to sparse matrices*************************************************
446  // No special implementation for the Schur product assignment to sparse matrices.
447  //**********************************************************************************************
448 
449  //**Multiplication assignment to dense matrices*************************************************
450  // No special implementation for the multiplication assignment to dense matrices.
451  //**********************************************************************************************
452 
453  //**Multiplication assignment to sparse matrices************************************************
454  // No special implementation for the multiplication assignment to sparse matrices.
455  //**********************************************************************************************
456 
457  //**SMP assignment to dense matrices************************************************************
471  template< typename MT // Type of the target dense matrix
472  , bool SO2 > // Storage order of the target dense matrix
473  friend inline EnableIf_< UseSMPAssign<MT> >
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  smpAssign ( ~lhs, -rhs.rhs_ );
482  smpAddAssign( ~lhs, rhs.lhs_ );
483  }
485  //**********************************************************************************************
486 
487  //**SMP assignment to sparse matrices***********************************************************
501  template< typename MT // Type of the target sparse matrix
502  , bool SO2 > // Storage order of the target sparse matrix
503  friend inline EnableIf_< UseSMPAssign<MT> >
505  {
507 
509 
516 
517  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
518  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
519 
520  const TmpType tmp( rhs );
521  smpAssign( ~lhs, tmp );
522  }
524  //**********************************************************************************************
525 
526  //**SMP addition assignment to dense matrices***************************************************
541  template< typename MT // Type of the target dense matrix
542  , bool SO2 > // Storage order of the target dense matrix
543  friend inline EnableIf_< UseSMPAssign<MT> >
545  {
547 
548  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
549  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
550 
551  smpSubAssign( ~lhs, rhs.rhs_ );
552  smpAddAssign( ~lhs, rhs.lhs_ );
553  }
555  //**********************************************************************************************
556 
557  //**SMP addition assignment to sparse matrices**************************************************
558  // No special implementation for the SMP addition assignment to sparse matrices.
559  //**********************************************************************************************
560 
561  //**SMP subtraction assignment to dense matrices************************************************
576  template< typename MT // Type of the target dense matrix
577  , bool SO2 > // Storage order of the target dense matrix
578  friend inline EnableIf_< UseSMPAssign<MT> >
580  {
582 
583  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
584  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
585 
586  smpAddAssign( ~lhs, rhs.rhs_ );
587  smpSubAssign( ~lhs, rhs.lhs_ );
588  }
590  //**********************************************************************************************
591 
592  //**SMP subtraction assignment to sparse matrices***********************************************
593  // No special implementation for the SMP subtraction assignment to sparse matrices.
594  //**********************************************************************************************
595 
596  //**SMP Schur product assignment to dense matrices**********************************************
611  template< typename MT // Type of the target dense matrix
612  , bool SO2 > // Storage order of the target dense matrix
613  friend inline EnableIf_< UseSMPAssign<MT> >
615  {
617 
621 
622  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
623  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
624 
625  const ResultType tmp( rhs );
626  smpSchurAssign( ~lhs, tmp );
627  }
629  //**********************************************************************************************
630 
631  //**SMP Schur product assignment to sparse matrices*********************************************
632  // No special implementation for the SMP Schur product assignment to sparse matrices.
633  //**********************************************************************************************
634 
635  //**SMP multiplication assignment to dense matrices*********************************************
636  // No special implementation for the SMP multiplication assignment to dense matrices.
637  //**********************************************************************************************
638 
639  //**SMP multiplication assignment to sparse matrices********************************************
640  // No special implementation for the SMP multiplication assignment to sparse matrices.
641  //**********************************************************************************************
642 
643  //**Compile time checks*************************************************************************
651  //**********************************************************************************************
652 };
653 //*************************************************************************************************
654 
655 
656 
657 
658 //=================================================================================================
659 //
660 // GLOBAL BINARY ARITHMETIC OPERATORS
661 //
662 //=================================================================================================
663 
664 //*************************************************************************************************
694 template< typename MT1 // Type of the left-hand side sparse matrix
695  , typename MT2 > // Type of the right-hand side dense matrix
696 inline decltype(auto)
697  operator-( const SparseMatrix<MT1,true>& lhs, const DenseMatrix<MT2,false>& rhs )
698 {
700 
701  if( (~lhs).rows() != (~rhs).rows() || (~lhs).columns() != (~rhs).columns() ) {
702  BLAZE_THROW_INVALID_ARGUMENT( "Matrix sizes do not match" );
703  }
704 
706  return ReturnType( ~lhs, ~rhs );
707 }
708 //*************************************************************************************************
709 
710 
711 
712 
713 //=================================================================================================
714 //
715 // GLOBAL RESTRUCTURING BINARY ARITHMETIC OPERATORS
716 //
717 //=================================================================================================
718 
719 //*************************************************************************************************
732 template< typename MT1 // Type of the sparse matrix of the left-hand side expression
733  , typename MT2 // Type of the dense matrix of the left-hand side expression
734  , typename MT3 // Type of the right-hand side dense matrix
735  , bool SO > // Storage order of the right-hand side dense matrix
736 inline decltype(auto)
738 {
740 
741  return ( (~rhs) - lhs.rightOperand() ) + lhs.leftOperand();
742 }
744 //*************************************************************************************************
745 
746 
747 //*************************************************************************************************
760 template< typename MT1 // Type of the sparse matrix of the left-hand side expression
761  , typename MT2 // Type of the dense matrix of the left-hand side expression
762  , typename MT3 // Type of the right-hand side dense matrix
763  , bool SO > // Storage order of the right-hand side dense matrix
764 inline decltype(auto)
766 {
768 
769  return lhs.leftOperand() - ( lhs.rightOperand() + (~rhs) );
770 }
772 //*************************************************************************************************
773 
774 
775 
776 
777 //=================================================================================================
778 //
779 // ROWS SPECIALIZATIONS
780 //
781 //=================================================================================================
782 
783 //*************************************************************************************************
785 template< typename MT1, typename MT2 >
786 struct Rows< TSMatDMatSubExpr<MT1,MT2> >
787  : public Maximum< Rows<MT1>, Rows<MT2> >
788 {};
790 //*************************************************************************************************
791 
792 
793 
794 
795 //=================================================================================================
796 //
797 // COLUMNS SPECIALIZATIONS
798 //
799 //=================================================================================================
800 
801 //*************************************************************************************************
803 template< typename MT1, typename MT2 >
804 struct Columns< TSMatDMatSubExpr<MT1,MT2> >
805  : public Maximum< Columns<MT1>, Columns<MT2> >
806 {};
808 //*************************************************************************************************
809 
810 
811 
812 
813 //=================================================================================================
814 //
815 // ISSYMMETRIC SPECIALIZATIONS
816 //
817 //=================================================================================================
818 
819 //*************************************************************************************************
821 template< typename MT1, typename MT2 >
822 struct IsSymmetric< TSMatDMatSubExpr<MT1,MT2> >
823  : public BoolConstant< IsSymmetric<MT1>::value && IsSymmetric<MT2>::value >
824 {};
826 //*************************************************************************************************
827 
828 
829 
830 
831 //=================================================================================================
832 //
833 // ISHERMITIAN SPECIALIZATIONS
834 //
835 //=================================================================================================
836 
837 //*************************************************************************************************
839 template< typename MT1, typename MT2 >
840 struct IsHermitian< TSMatDMatSubExpr<MT1,MT2> >
841  : public BoolConstant< IsHermitian<MT1>::value && IsHermitian<MT2>::value >
842 {};
844 //*************************************************************************************************
845 
846 
847 
848 
849 //=================================================================================================
850 //
851 // ISLOWER SPECIALIZATIONS
852 //
853 //=================================================================================================
854 
855 //*************************************************************************************************
857 template< typename MT1, typename MT2 >
858 struct IsLower< TSMatDMatSubExpr<MT1,MT2> >
859  : public BoolConstant< And< IsLower<MT1>, IsLower<MT2> >::value >
860 {};
862 //*************************************************************************************************
863 
864 
865 
866 
867 //=================================================================================================
868 //
869 // ISUNILOWER SPECIALIZATIONS
870 //
871 //=================================================================================================
872 
873 //*************************************************************************************************
875 template< typename MT1, typename MT2 >
876 struct IsUniLower< TSMatDMatSubExpr<MT1,MT2> >
877  : public BoolConstant< And< IsUniLower<MT1>, IsStrictlyLower<MT2> >::value >
878 {};
880 //*************************************************************************************************
881 
882 
883 
884 
885 //=================================================================================================
886 //
887 // ISSTRICTLYLOWER SPECIALIZATIONS
888 //
889 //=================================================================================================
890 
891 //*************************************************************************************************
893 template< typename MT1, typename MT2 >
894 struct IsStrictlyLower< TSMatDMatSubExpr<MT1,MT2> >
895  : public BoolConstant< And< IsStrictlyLower<MT1>, IsStrictlyLower<MT2> >::value >
896 {};
898 //*************************************************************************************************
899 
900 
901 
902 
903 //=================================================================================================
904 //
905 // ISUPPER SPECIALIZATIONS
906 //
907 //=================================================================================================
908 
909 //*************************************************************************************************
911 template< typename MT1, typename MT2 >
912 struct IsUpper< TSMatDMatSubExpr<MT1,MT2> >
913  : public BoolConstant< And< IsUpper<MT1>, IsUpper<MT2> >::value >
914 {};
916 //*************************************************************************************************
917 
918 
919 
920 
921 //=================================================================================================
922 //
923 // ISUNIUPPER SPECIALIZATIONS
924 //
925 //=================================================================================================
926 
927 //*************************************************************************************************
929 template< typename MT1, typename MT2 >
930 struct IsUniUpper< TSMatDMatSubExpr<MT1,MT2> >
931  : public BoolConstant< And< IsUniUpper<MT1>, IsStrictlyUpper<MT2> >::value >
932 {};
934 //*************************************************************************************************
935 
936 
937 
938 
939 //=================================================================================================
940 //
941 // ISSTRICTLYUPPER SPECIALIZATIONS
942 //
943 //=================================================================================================
944 
945 //*************************************************************************************************
947 template< typename MT1, typename MT2 >
948 struct IsStrictlyUpper< TSMatDMatSubExpr<MT1,MT2> >
949  : public BoolConstant< And< IsStrictlyUpper<MT1>, IsStrictlyUpper<MT2> >::value >
950 {};
952 //*************************************************************************************************
953 
954 } // namespace blaze
955 
956 #endif
OppositeType_< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: TSMatDMatSubExpr.h:142
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
ElementType_< ResultType > ElementType
Resulting element type.
Definition: TSMatDMatSubExpr.h:144
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.
SubTrait_< RT1, RT2 > ResultType
Result type for expression template evaluations.
Definition: TSMatDMatSubExpr.h:141
If_< IsExpression< MT1 >, const MT1, const MT1 &> LeftOperand
Composite type of the left-hand side dense matrix expression.
Definition: TSMatDMatSubExpr.h:153
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
#define BLAZE_CONSTRAINT_MUST_BE_DENSE_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is not a dense, N-dimensional matrix type...
Definition: DenseMatrix.h:61
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: TSMatDMatSubExpr.h:230
const DenseIterator< Type, AF > operator+(const DenseIterator< Type, AF > &it, ptrdiff_t inc) noexcept
Addition between a DenseIterator and an integral value.
Definition: DenseIterator.h:699
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
Header file for the Computation base class.
LeftOperand leftOperand() const noexcept
Returns the left-hand side transpose sparse matrix operand.
Definition: TSMatDMatSubExpr.h:240
Compile time check for upper triangular matrices.This type trait tests whether or not the given templ...
Definition: IsUpper.h:88
const DenseIterator< Type, AF > operator-(const DenseIterator< Type, AF > &it, ptrdiff_t inc) noexcept
Subtraction between a DenseIterator and an integral value.
Definition: DenseIterator.h:731
Constraints on the storage order of matrix types.
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
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.
Constraint on the data type.
ReturnType_< MT2 > RN2
Return type of the right-hand side dense matrix expression.
Definition: TSMatDMatSubExpr.h:108
Header file for the Maximum class template.
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 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
If_< IsExpression< MT2 >, const MT2, const MT2 &> RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: TSMatDMatSubExpr.h:156
EnableIf_< IsDenseMatrix< MT1 > > smpAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the SMP assignment of a matrix to a dense matrix.
Definition: DenseMatrix.h:102
#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 DenseMatrix base class.
Header file for the Columns type trait.
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.
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
Constraint on the data type.
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: TSMatDMatSubExpr.h:189
Header file for all forward declarations for expression class templates.
const IfTrue_< returnExpr, ExprReturnType, ElementType > ReturnType
Return type for expression template evaluations.
Definition: TSMatDMatSubExpr.h:147
Header file for the EnableIf class template.
Header file for the IsStrictlyLower type trait.
RightOperand rhs_
Right-hand side dense matrix of the subtraction expression.
Definition: TSMatDMatSubExpr.h:283
Compile time check for lower unitriangular matrices.This type trait tests whether or not the given te...
Definition: IsUniLower.h:86
LeftOperand lhs_
Left-hand side sparse matrix of the subtraction expression.
Definition: TSMatDMatSubExpr.h:282
#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 ResultType CompositeType
Data type for composite expression templates.
Definition: TSMatDMatSubExpr.h:150
Header file for run time assertion macros.
Utility type for generic codes.
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
Expression object for transpose sparse matrix-dense matrix subtractions.The TSMatDMatSubExpr class re...
Definition: Forward.h:162
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: TSMatDMatSubExpr.h:275
#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
RightOperand rightOperand() const noexcept
Returns the right-hand side dense matrix operand.
Definition: TSMatDMatSubExpr.h:250
Compile time check for Hermitian matrices.This type trait tests whether or not the given template par...
Definition: IsHermitian.h:85
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
#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
ReturnType_< MT1 > RN1
Return type of the left-hand side sparse matrix expression.
Definition: TSMatDMatSubExpr.h:107
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: TSMatDMatSubExpr.h:204
typename EnableIf< Condition, T >::Type EnableIf_
Auxiliary alias declaration for the EnableIf class template.The EnableIf_ alias declaration provides ...
Definition: EnableIf.h:224
SubExprTrait_< RN1, RN2 > ExprReturnType
Expression return type for the subscript operator.
Definition: TSMatDMatSubExpr.h:121
typename T::OppositeType OppositeType_
Alias declaration for nested OppositeType type definitions.The OppositeType_ alias declaration provid...
Definition: Aliases.h:263
#define BLAZE_CONSTRAINT_MATRICES_MUST_HAVE_SAME_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:84
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: TSMatDMatSubExpr.h:262
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
ResultType_< MT1 > RT1
Result type of the left-hand side sparse matrix expression.
Definition: TSMatDMatSubExpr.h:105
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
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.
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: TSMatDMatSubExpr.h:220
ResultType_< MT2 > RT2
Result type of the right-hand side dense matrix expression.
Definition: TSMatDMatSubExpr.h:106
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: TSMatDMatSubExpr.h:143
Header file for the IsHermitian type trait.
Header file for the SubExprTrait class template.
#define BLAZE_INTERNAL_ASSERT(expr, msg)
Run time assertion macro for internal checks.In case of an invalid run time expression, the program execution is terminated. The BLAZE_INTERNAL_ASSERT macro can be disabled by setting the BLAZE_USER_ASSERTION flag to zero or by defining NDEBUG during the compilation.
Definition: Assert.h:101
#define BLAZE_CONSTRAINT_MUST_BE_SPARSE_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is not a sparse, N-dimensional matrix type...
Definition: SparseMatrix.h:61
Compile time check whether the given type is an expression template.This type trait class tests wheth...
Definition: IsExpression.h:95
TSMatDMatSubExpr(const MT1 &lhs, const MT2 &rhs) noexcept
Constructor for the TSMatDMatSubExpr class.
Definition: TSMatDMatSubExpr.h:173
Header file for the IsExpression type trait class.
Header file for the function trace functionality.