SMatDMatSubExpr.h
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1 //=================================================================================================
33 //=================================================================================================
34 
35 #ifndef _BLAZE_MATH_EXPRESSIONS_SMATDMATSUBEXPR_H_
36 #define _BLAZE_MATH_EXPRESSIONS_SMATDMATSUBEXPR_H_
37 
38 
39 //*************************************************************************************************
40 // Includes
41 //*************************************************************************************************
42 
43 #include <blaze/math/Aliases.h>
49 #include <blaze/math/Exception.h>
69 #include <blaze/util/Assert.h>
70 #include <blaze/util/EnableIf.h>
73 #include <blaze/util/InvalidType.h>
74 #include <blaze/util/mpl/And.h>
75 #include <blaze/util/mpl/If.h>
76 #include <blaze/util/mpl/Maximum.h>
77 #include <blaze/util/Types.h>
78 
79 
80 namespace blaze {
81 
82 //=================================================================================================
83 //
84 // CLASS SMATDMATSUBEXPR
85 //
86 //=================================================================================================
87 
88 //*************************************************************************************************
95 template< typename MT1 // Type of the left-hand side sparse matrix
96  , typename MT2 // Type of the right-hand side dense matrix
97  , bool SO > // Storage order
98 class SMatDMatSubExpr
99  : public MatMatSubExpr< DenseMatrix< SMatDMatSubExpr<MT1,MT2,SO>, SO > >
100  , private Computation
101 {
102  private:
103  //**Type definitions****************************************************************************
108  //**********************************************************************************************
109 
110  //**Return type evaluation**********************************************************************
112 
117  enum : bool { returnExpr = !IsTemporary<RN1>::value && !IsTemporary<RN2>::value };
118 
121  //**********************************************************************************************
122 
123  //**Parallel evaluation strategy****************************************************************
125 
130  template< typename MT >
131  struct UseSMPAssign {
132  enum : bool { value = ( !MT1::smpAssignable || !MT2::smpAssignable ) };
133  };
135  //**********************************************************************************************
136 
137  public:
138  //**Type definitions****************************************************************************
144 
147 
149  using CompositeType = const ResultType;
150 
152  using LeftOperand = If_< IsExpression<MT1>, const MT1, const MT1& >;
153 
155  using RightOperand = If_< IsExpression<MT2>, const MT2, const MT2& >;
156  //**********************************************************************************************
157 
158  //**Compilation flags***************************************************************************
160  enum : bool { simdEnabled = false };
161 
163  enum : bool { smpAssignable = false };
164  //**********************************************************************************************
165 
166  //**Constructor*********************************************************************************
172  explicit inline SMatDMatSubExpr( const MT1& lhs, const MT2& rhs ) noexcept
173  : lhs_( lhs ) // Left-hand side sparse matrix of the subtraction expression
174  , rhs_( rhs ) // Right-hand side dense matrix of the subtraction expression
175  {
176  BLAZE_INTERNAL_ASSERT( lhs.rows() == rhs.rows() , "Invalid number of rows" );
177  BLAZE_INTERNAL_ASSERT( lhs.columns() == rhs.columns(), "Invalid number of columns" );
178  }
179  //**********************************************************************************************
180 
181  //**Access operator*****************************************************************************
188  inline ReturnType operator()( size_t i, size_t j ) const {
189  BLAZE_INTERNAL_ASSERT( i < lhs_.rows() , "Invalid row access index" );
190  BLAZE_INTERNAL_ASSERT( j < lhs_.columns(), "Invalid column access index" );
191  return lhs_(i,j) - rhs_(i,j);
192  }
193  //**********************************************************************************************
194 
195  //**At function*********************************************************************************
203  inline ReturnType at( size_t i, size_t j ) const {
204  if( i >= lhs_.rows() ) {
205  BLAZE_THROW_OUT_OF_RANGE( "Invalid row access index" );
206  }
207  if( j >= lhs_.columns() ) {
208  BLAZE_THROW_OUT_OF_RANGE( "Invalid column access index" );
209  }
210  return (*this)(i,j);
211  }
212  //**********************************************************************************************
213 
214  //**Rows function*******************************************************************************
219  inline size_t rows() const noexcept {
220  return lhs_.rows();
221  }
222  //**********************************************************************************************
223 
224  //**Columns function****************************************************************************
229  inline size_t columns() const noexcept {
230  return lhs_.columns();
231  }
232  //**********************************************************************************************
233 
234  //**Left operand access*************************************************************************
239  inline LeftOperand leftOperand() const noexcept {
240  return lhs_;
241  }
242  //**********************************************************************************************
243 
244  //**Right operand access************************************************************************
249  inline RightOperand rightOperand() const noexcept {
250  return rhs_;
251  }
252  //**********************************************************************************************
253 
254  //**********************************************************************************************
260  template< typename T >
261  inline bool canAlias( const T* alias ) const noexcept {
262  return ( lhs_.canAlias( alias ) ) ||
263  ( IsExpression<MT2>::value && rhs_.canAlias( alias ) );
264  }
265  //**********************************************************************************************
266 
267  //**********************************************************************************************
273  template< typename T >
274  inline bool isAliased( const T* alias ) const noexcept {
275  return lhs_.isAliased( alias ) || rhs_.isAliased( alias );
276  }
277  //**********************************************************************************************
278 
279  private:
280  //**Member variables****************************************************************************
283  //**********************************************************************************************
284 
285  //**Assignment to dense matrices****************************************************************
297  template< typename MT // Type of the target dense matrix
298  , bool SO2 > // Storage order of the target dense matrix
299  friend inline void assign( DenseMatrix<MT,SO2>& lhs, const SMatDMatSubExpr& rhs )
300  {
302 
303  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
304  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
305 
306  assign ( ~lhs, -rhs.rhs_ );
307  addAssign( ~lhs, rhs.lhs_ );
308  }
310  //**********************************************************************************************
311 
312  //**Assignment to sparse matrices***************************************************************
324  template< typename MT // Type of the target sparse matrix
325  , bool SO2 > // Storage order of the target sparse matrix
326  friend inline void assign( SparseMatrix<MT,SO2>& lhs, const SMatDMatSubExpr& rhs )
327  {
329 
331 
338 
339  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
340  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
341 
342  const TmpType tmp( serial( rhs ) );
343  assign( ~lhs, tmp );
344  }
346  //**********************************************************************************************
347 
348  //**Addition assignment to dense matrices*******************************************************
360  template< typename MT // Type of the target dense matrix
361  , bool SO2 > // Storage order of the target dense matrix
362  friend inline void addAssign( DenseMatrix<MT,SO2>& lhs, const SMatDMatSubExpr& rhs )
363  {
365 
366  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
367  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
368 
369  subAssign( ~lhs, rhs.rhs_ );
370  addAssign( ~lhs, rhs.lhs_ );
371  }
373  //**********************************************************************************************
374 
375  //**Addition assignment to sparse matrices******************************************************
376  // No special implementation for the addition assignment to sparse matrices.
377  //**********************************************************************************************
378 
379  //**Subtraction assignment to dense matrices****************************************************
391  template< typename MT // Type of the target dense matrix
392  , bool SO2 > // Storage order of the target dense matrix
393  friend inline void subAssign( DenseMatrix<MT,SO2>& lhs, const SMatDMatSubExpr& rhs )
394  {
396 
397  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
398  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
399 
400  addAssign( ~lhs, rhs.rhs_ );
401  subAssign( ~lhs, rhs.lhs_ );
402  }
404  //**********************************************************************************************
405 
406  //**Subtraction assignment to sparse matrices***************************************************
407  // No special implementation for the subtraction assignment to sparse matrices.
408  //**********************************************************************************************
409 
410  //**Schur product assignment to dense matrices**************************************************
423  template< typename MT // Type of the target dense matrix
424  , bool SO2 > // Storage order of the target dense matrix
425  friend inline void schurAssign( DenseMatrix<MT,SO2>& lhs, const SMatDMatSubExpr& rhs )
426  {
428 
432 
433  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
434  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
435 
436  const ResultType tmp( serial( rhs ) );
437  schurAssign( ~lhs, tmp );
438  }
440  //**********************************************************************************************
441 
442  //**Schur product assignment to sparse matrices*************************************************
443  // No special implementation for the Schur product assignment to sparse matrices.
444  //**********************************************************************************************
445 
446  //**Multiplication assignment to dense matrices*************************************************
447  // No special implementation for the multiplication assignment to dense matrices.
448  //**********************************************************************************************
449 
450  //**Multiplication assignment to sparse matrices************************************************
451  // No special implementation for the multiplication assignment to sparse matrices.
452  //**********************************************************************************************
453 
454  //**SMP assignment to dense matrices*************************************************************
468  template< typename MT // Type of the target dense matrix
469  , bool SO2 > // Storage order of the target dense matrix
470  friend inline EnableIf_< UseSMPAssign<MT> >
471  smpAssign( DenseMatrix<MT,SO2>& lhs, const SMatDMatSubExpr& rhs )
472  {
474 
475  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
476  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
477 
478  smpAssign ( ~lhs, -rhs.rhs_ );
479  smpAddAssign( ~lhs, rhs.lhs_ );
480  }
482  //**********************************************************************************************
483 
484  //**SMP assignment to sparse matrices***********************************************************
498  template< typename MT // Type of the target sparse matrix
499  , bool SO2 > // Storage order of the target sparse matrix
500  friend inline EnableIf_< UseSMPAssign<MT> >
502  {
504 
506 
513 
514  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
515  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
516 
517  const TmpType tmp( rhs );
518  smpAssign( ~lhs, tmp );
519  }
521  //**********************************************************************************************
522 
523  //**SMP addition assignment to dense matrices***************************************************
537  template< typename MT // Type of the target dense matrix
538  , bool SO2 > // Storage order of the target dense matrix
539  friend inline EnableIf_< UseSMPAssign<MT> >
541  {
543 
544  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
545  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
546 
547  smpSubAssign( ~lhs, rhs.rhs_ );
548  smpAddAssign( ~lhs, rhs.lhs_ );
549  }
551  //**********************************************************************************************
552 
553  //**SMP addition assignment to sparse matrices**************************************************
554  // No special implementation for the SMP addition assignment to sparse matrices.
555  //**********************************************************************************************
556 
557  //**SMP subtraction assignment to dense matrices************************************************
571  template< typename MT // Type of the target dense matrix
572  , bool SO2 > // Storage order of the target dense matrix
573  friend inline EnableIf_< UseSMPAssign<MT> >
575  {
577 
578  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
579  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
580 
581  smpAddAssign( ~lhs, rhs.rhs_ );
582  smpSubAssign( ~lhs, rhs.lhs_ );
583  }
585  //**********************************************************************************************
586 
587  //**SMP subtraction assignment to sparse matrices***********************************************
588  // No special implementation for the SMP subtraction assignment to sparse matrices.
589  //**********************************************************************************************
590 
591  //**SMP Schur product assignment to dense matrices**********************************************
606  template< typename MT // Type of the target dense matrix
607  , bool SO2 > // Storage order of the target dense matrix
608  friend inline EnableIf_< UseSMPAssign<MT> >
610  {
612 
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  const ResultType tmp( rhs );
621  smpSchurAssign( ~lhs, tmp );
622  }
624  //**********************************************************************************************
625 
626  //**SMP Schur product assignment to sparse matrices*********************************************
627  // No special implementation for the SMP Schur product assignment to sparse matrices.
628  //**********************************************************************************************
629 
630  //**SMP multiplication assignment to dense matrices*********************************************
631  // No special implementation for the SMP multiplication assignment to dense matrices.
632  //**********************************************************************************************
633 
634  //**SMP multiplication assignment to sparse matrices********************************************
635  // No special implementation for the SMP multiplication assignment to sparse matrices.
636  //**********************************************************************************************
637 
638  //**Compile time checks*************************************************************************
645  //**********************************************************************************************
646 };
647 //*************************************************************************************************
648 
649 
650 
651 
652 //=================================================================================================
653 //
654 // GLOBAL BINARY ARITHMETIC OPERATORS
655 //
656 //=================================================================================================
657 
658 //*************************************************************************************************
687 template< typename MT1 // Type of the left-hand side sparse matrix
688  , typename MT2 // Type of the right-hand side dense matrix
689  , bool SO > // Storage order
690 inline decltype(auto)
691  operator-( const SparseMatrix<MT1,SO>& lhs, const DenseMatrix<MT2,SO>& rhs )
692 {
694 
695  if( (~lhs).rows() != (~rhs).rows() || (~lhs).columns() != (~rhs).columns() ) {
696  BLAZE_THROW_INVALID_ARGUMENT( "Matrix sizes do not match" );
697  }
698 
700  return ReturnType( ~lhs, ~rhs );
701 }
702 //*************************************************************************************************
703 
704 
705 
706 
707 //=================================================================================================
708 //
709 // GLOBAL RESTRUCTURING BINARY ARITHMETIC OPERATORS
710 //
711 //=================================================================================================
712 
713 //*************************************************************************************************
726 template< typename MT1 // Type of the sparse matrix of the left-hand side expression
727  , typename MT2 // Type of the dense matrix of the left-hand side expression
728  , bool SO1 // Storage order of the left-hand side expression
729  , typename MT3 // Type of the right-hand side dense matrix
730  , bool SO2 > // Storage order of the right-hand side dense matrix
731 inline decltype(auto)
733 {
735 
736  return ( (~rhs) - lhs.rightOperand() ) + lhs.leftOperand();
737 }
739 //*************************************************************************************************
740 
741 
742 //*************************************************************************************************
755 template< typename MT1 // Type of the sparse matrix of the left-hand side expression
756  , typename MT2 // Type of the dense matrix of the left-hand side expression
757  , bool SO1 // Storage order of the left-hand side expression
758  , typename MT3 // Type of the right-hand side dense matrix
759  , bool SO2 > // Storage order of the right-hand side dense matrix
760 inline decltype(auto)
762 {
764 
765  return lhs.leftOperand() - ( lhs.rightOperand() + (~rhs) );
766 }
768 //*************************************************************************************************
769 
770 
771 
772 
773 //=================================================================================================
774 //
775 // ROWS SPECIALIZATIONS
776 //
777 //=================================================================================================
778 
779 //*************************************************************************************************
781 template< typename MT1, typename MT2, bool SO >
782 struct Rows< SMatDMatSubExpr<MT1,MT2,SO> >
783  : public Maximum< Rows<MT1>, Rows<MT2> >
784 {};
786 //*************************************************************************************************
787 
788 
789 
790 
791 //=================================================================================================
792 //
793 // COLUMNS SPECIALIZATIONS
794 //
795 //=================================================================================================
796 
797 //*************************************************************************************************
799 template< typename MT1, typename MT2, bool SO >
800 struct Columns< SMatDMatSubExpr<MT1,MT2,SO> >
801  : public Maximum< Columns<MT1>, Columns<MT2> >
802 {};
804 //*************************************************************************************************
805 
806 
807 
808 
809 //=================================================================================================
810 //
811 // ISSYMMETRIC SPECIALIZATIONS
812 //
813 //=================================================================================================
814 
815 //*************************************************************************************************
817 template< typename MT1, typename MT2, bool SO >
818 struct IsSymmetric< SMatDMatSubExpr<MT1,MT2,SO> >
819  : public BoolConstant< IsSymmetric<MT1>::value && IsSymmetric<MT2>::value >
820 {};
822 //*************************************************************************************************
823 
824 
825 
826 
827 //=================================================================================================
828 //
829 // ISHERMITIAN SPECIALIZATIONS
830 //
831 //=================================================================================================
832 
833 //*************************************************************************************************
835 template< typename MT1, typename MT2, bool SO >
836 struct IsHermitian< SMatDMatSubExpr<MT1,MT2,SO> >
837  : public BoolConstant< IsHermitian<MT1>::value && IsHermitian<MT2>::value >
838 {};
840 //*************************************************************************************************
841 
842 
843 
844 
845 //=================================================================================================
846 //
847 // ISLOWER SPECIALIZATIONS
848 //
849 //=================================================================================================
850 
851 //*************************************************************************************************
853 template< typename MT1, typename MT2, bool SO >
854 struct IsLower< SMatDMatSubExpr<MT1,MT2,SO> >
855  : public BoolConstant< And< IsLower<MT1>, IsLower<MT2> >::value >
856 {};
858 //*************************************************************************************************
859 
860 
861 
862 
863 //=================================================================================================
864 //
865 // ISUNILOWER SPECIALIZATIONS
866 //
867 //=================================================================================================
868 
869 //*************************************************************************************************
871 template< typename MT1, typename MT2, bool SO >
872 struct IsUniLower< SMatDMatSubExpr<MT1,MT2,SO> >
873  : public BoolConstant< And< IsUniLower<MT1>, IsStrictlyLower<MT2> >::value >
874 {};
876 //*************************************************************************************************
877 
878 
879 
880 
881 //=================================================================================================
882 //
883 // ISSTRICTLYLOWER SPECIALIZATIONS
884 //
885 //=================================================================================================
886 
887 //*************************************************************************************************
889 template< typename MT1, typename MT2, bool SO >
890 struct IsStrictlyLower< SMatDMatSubExpr<MT1,MT2,SO> >
891  : public BoolConstant< And< IsStrictlyLower<MT1>, IsStrictlyLower<MT2> >::value >
892 {};
894 //*************************************************************************************************
895 
896 
897 
898 
899 //=================================================================================================
900 //
901 // ISUPPER SPECIALIZATIONS
902 //
903 //=================================================================================================
904 
905 //*************************************************************************************************
907 template< typename MT1, typename MT2, bool SO >
908 struct IsUpper< SMatDMatSubExpr<MT1,MT2,SO> >
909  : public BoolConstant< And< IsUpper<MT1>, IsUpper<MT2> >::value >
910 {};
912 //*************************************************************************************************
913 
914 
915 
916 
917 //=================================================================================================
918 //
919 // ISUNIUPPER SPECIALIZATIONS
920 //
921 //=================================================================================================
922 
923 //*************************************************************************************************
925 template< typename MT1, typename MT2, bool SO >
926 struct IsUniUpper< SMatDMatSubExpr<MT1,MT2,SO> >
927  : public BoolConstant< And< IsUniUpper<MT1>, IsStrictlyUpper<MT2> >::value >
928 {};
930 //*************************************************************************************************
931 
932 
933 
934 
935 //=================================================================================================
936 //
937 // ISSTRICTLYUPPER SPECIALIZATIONS
938 //
939 //=================================================================================================
940 
941 //*************************************************************************************************
943 template< typename MT1, typename MT2, bool SO >
944 struct IsStrictlyUpper< SMatDMatSubExpr<MT1,MT2,SO> >
945  : public BoolConstant< And< IsStrictlyUpper<MT1>, IsStrictlyUpper<MT2> >::value >
946 {};
948 //*************************************************************************************************
949 
950 } // namespace blaze
951 
952 #endif
Constraint on the data type.
#define BLAZE_THROW_INVALID_ARGUMENT(MESSAGE)
Macro for the emission of a std::invalid_argument exception.This macro encapsulates the default way o...
Definition: Exception.h:235
Header file for auxiliary alias declarations.
SMatDMatSubExpr(const MT1 &lhs, const MT2 &rhs) noexcept
Constructor for the SMatDMatSubExpr class.
Definition: SMatDMatSubExpr.h:172
ResultType_< MT2 > RT2
Result type of the right-hand side dense matrix expression.
Definition: SMatDMatSubExpr.h:105
Compile time check whether the given type is a temporary vector or matrix type.This type trait class ...
Definition: IsTemporary.h:70
Header file for the Rows type trait.
Header file for the IsUniUpper type trait.
EnableIf_< IsDenseMatrix< MT1 > > smpSchurAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the SMP Schur product assignment of a matrix to dense matrix.
Definition: DenseMatrix.h:196
Header file for the subtraction trait.
Header file for basic type definitions.
EnableIf_< IsDenseMatrix< MT1 > > smpSubAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the SMP subtraction assignment of a matrix to dense matrix.
Definition: DenseMatrix.h:164
Header file for the serial shim.
#define BLAZE_CONSTRAINT_MUST_BE_MATRIX_WITH_STORAGE_ORDER(T, SO)
Constraint on the data type.In case the given data type T is not a dense or sparse matrix type and in...
Definition: StorageOrder.h:63
If_< IsExpression< MT2 >, const MT2, const MT2 &> RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: SMatDMatSubExpr.h:155
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
ResultType_< MT1 > RT1
Result type of the left-hand side sparse matrix expression.
Definition: SMatDMatSubExpr.h:104
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: SMatDMatSubExpr.h:203
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
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: SMatDMatSubExpr.h:261
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
LeftOperand lhs_
Left-hand side sparse matrix of the subtraction expression.
Definition: SMatDMatSubExpr.h:281
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: SMatDMatSubExpr.h:229
RightOperand rhs_
Right-hand side dense matrix of the subtraction expression.
Definition: SMatDMatSubExpr.h:282
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
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
const ResultType CompositeType
Data type for composite expression templates.
Definition: SMatDMatSubExpr.h:149
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: SMatDMatSubExpr.h:274
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
OppositeType_< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: SMatDMatSubExpr.h:141
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: SMatDMatSubExpr.h:106
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.
Header file for the Maximum class template.
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: SMatDMatSubExpr.h:188
ElementType_< ResultType > ElementType
Resulting element type.
Definition: SMatDMatSubExpr.h:143
Expression object for sparse matrix-dense matrix subtractions.The SMatDMatSubExpr class represents th...
Definition: Forward.h:109
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.
const IfTrue_< returnExpr, ExprReturnType, ElementType > ReturnType
Return type for expression template evaluations.
Definition: SMatDMatSubExpr.h:146
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.
LeftOperand leftOperand() const noexcept
Returns the left-hand side sparse matrix operand.
Definition: SMatDMatSubExpr.h:239
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.
Header file for all forward declarations for expression class templates.
Header file for the EnableIf class template.
Header file for the IsStrictlyLower type trait.
Compile time check for lower unitriangular matrices.This type trait tests whether or not the given te...
Definition: IsUniLower.h:86
Header file for run time assertion macros.
Utility type for generic codes.
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: SMatDMatSubExpr.h:142
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
Compile time check for Hermitian matrices.This type trait tests whether or not the given template par...
Definition: IsHermitian.h:85
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
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: SMatDMatSubExpr.h:219
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
#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
ReturnType_< MT2 > RN2
Return type of the right-hand side dense matrix expression.
Definition: SMatDMatSubExpr.h:107
Compile time check for strictly lower triangular matrices.This type trait tests whether or not the gi...
Definition: IsStrictlyLower.h:86
RightOperand rightOperand() const noexcept
Returns the right-hand side dense matrix operand.
Definition: SMatDMatSubExpr.h:249
const Type & ReturnType
Return type for expression template evaluations.
Definition: CompressedMatrix.h:3082
If_< IsExpression< MT1 >, const MT1, const MT1 &> LeftOperand
Composite type of the left-hand side dense matrix expression.
Definition: SMatDMatSubExpr.h:152
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
SubTrait_< RT1, RT2 > ResultType
Result type for expression template evaluations.
Definition: SMatDMatSubExpr.h:140
#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.
Header file for the IsHermitian type trait.
Header file for the SubExprTrait class template.
SubExprTrait_< RN1, RN2 > ExprReturnType
Expression return type for the subscript operator.
Definition: SMatDMatSubExpr.h:120
#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
Header file for the IsExpression type trait class.
Header file for the function trace functionality.