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>
68 #include <blaze/util/Assert.h>
69 #include <blaze/util/EnableIf.h>
71 #include <blaze/util/mpl/And.h>
72 #include <blaze/util/mpl/If.h>
73 #include <blaze/util/mpl/Maximum.h>
74 #include <blaze/util/Types.h>
75 
76 
77 namespace blaze {
78 
79 //=================================================================================================
80 //
81 // CLASS SMATDMATSUBEXPR
82 //
83 //=================================================================================================
84 
85 //*************************************************************************************************
92 template< typename MT1 // Type of the left-hand side sparse matrix
93  , typename MT2 // Type of the right-hand side dense matrix
94  , bool SO > // Storage order
95 class SMatDMatSubExpr
96  : public MatMatSubExpr< DenseMatrix< SMatDMatSubExpr<MT1,MT2,SO>, SO > >
97  , private Computation
98 {
99  private:
100  //**Type definitions****************************************************************************
105  //**********************************************************************************************
106 
107  //**Return type evaluation**********************************************************************
109 
114  enum : bool { returnExpr = !IsTemporary<RN1>::value && !IsTemporary<RN2>::value };
115 
118  //**********************************************************************************************
119 
120  //**Parallel evaluation strategy****************************************************************
122 
127  template< typename MT >
128  struct UseSMPAssign {
129  enum : bool { value = ( !MT1::smpAssignable || !MT2::smpAssignable ) };
130  };
132  //**********************************************************************************************
133 
134  public:
135  //**Type definitions****************************************************************************
141 
144 
146  using CompositeType = const ResultType;
147 
149  using LeftOperand = If_< IsExpression<MT1>, const MT1, const MT1& >;
150 
152  using RightOperand = If_< IsExpression<MT2>, const MT2, const MT2& >;
153  //**********************************************************************************************
154 
155  //**Compilation flags***************************************************************************
157  enum : bool { simdEnabled = false };
158 
160  enum : bool { smpAssignable = false };
161  //**********************************************************************************************
162 
163  //**Constructor*********************************************************************************
169  explicit inline SMatDMatSubExpr( const MT1& lhs, const MT2& rhs ) noexcept
170  : lhs_( lhs ) // Left-hand side sparse matrix of the subtraction expression
171  , rhs_( rhs ) // Right-hand side dense matrix of the subtraction expression
172  {
173  BLAZE_INTERNAL_ASSERT( lhs.rows() == rhs.rows() , "Invalid number of rows" );
174  BLAZE_INTERNAL_ASSERT( lhs.columns() == rhs.columns(), "Invalid number of columns" );
175  }
176  //**********************************************************************************************
177 
178  //**Access operator*****************************************************************************
185  inline ReturnType operator()( size_t i, size_t j ) const {
186  BLAZE_INTERNAL_ASSERT( i < lhs_.rows() , "Invalid row access index" );
187  BLAZE_INTERNAL_ASSERT( j < lhs_.columns(), "Invalid column access index" );
188  return lhs_(i,j) - rhs_(i,j);
189  }
190  //**********************************************************************************************
191 
192  //**At function*********************************************************************************
200  inline ReturnType at( size_t i, size_t j ) const {
201  if( i >= lhs_.rows() ) {
202  BLAZE_THROW_OUT_OF_RANGE( "Invalid row access index" );
203  }
204  if( j >= lhs_.columns() ) {
205  BLAZE_THROW_OUT_OF_RANGE( "Invalid column access index" );
206  }
207  return (*this)(i,j);
208  }
209  //**********************************************************************************************
210 
211  //**Rows function*******************************************************************************
216  inline size_t rows() const noexcept {
217  return lhs_.rows();
218  }
219  //**********************************************************************************************
220 
221  //**Columns function****************************************************************************
226  inline size_t columns() const noexcept {
227  return lhs_.columns();
228  }
229  //**********************************************************************************************
230 
231  //**Left operand access*************************************************************************
236  inline LeftOperand leftOperand() const noexcept {
237  return lhs_;
238  }
239  //**********************************************************************************************
240 
241  //**Right operand access************************************************************************
246  inline RightOperand rightOperand() const noexcept {
247  return rhs_;
248  }
249  //**********************************************************************************************
250 
251  //**********************************************************************************************
257  template< typename T >
258  inline bool canAlias( const T* alias ) const noexcept {
259  return ( lhs_.canAlias( alias ) ) ||
260  ( IsExpression<MT2>::value && rhs_.canAlias( alias ) );
261  }
262  //**********************************************************************************************
263 
264  //**********************************************************************************************
270  template< typename T >
271  inline bool isAliased( const T* alias ) const noexcept {
272  return lhs_.isAliased( alias ) || rhs_.isAliased( alias );
273  }
274  //**********************************************************************************************
275 
276  private:
277  //**Member variables****************************************************************************
280  //**********************************************************************************************
281 
282  //**Assignment to dense matrices****************************************************************
294  template< typename MT // Type of the target dense matrix
295  , bool SO2 > // Storage order of the target dense matrix
296  friend inline void assign( DenseMatrix<MT,SO2>& lhs, const SMatDMatSubExpr& rhs )
297  {
299 
300  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
301  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
302 
303  assign ( ~lhs, -rhs.rhs_ );
304  addAssign( ~lhs, rhs.lhs_ );
305  }
307  //**********************************************************************************************
308 
309  //**Assignment to sparse matrices***************************************************************
321  template< typename MT // Type of the target sparse matrix
322  , bool SO2 > // Storage order of the target sparse matrix
323  friend inline void assign( SparseMatrix<MT,SO2>& lhs, const SMatDMatSubExpr& rhs )
324  {
326 
328 
335 
336  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
337  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
338 
339  const TmpType tmp( serial( rhs ) );
340  assign( ~lhs, tmp );
341  }
343  //**********************************************************************************************
344 
345  //**Addition assignment to dense matrices*******************************************************
357  template< typename MT // Type of the target dense matrix
358  , bool SO2 > // Storage order of the target dense matrix
359  friend inline void addAssign( DenseMatrix<MT,SO2>& lhs, const SMatDMatSubExpr& rhs )
360  {
362 
363  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
364  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
365 
366  subAssign( ~lhs, rhs.rhs_ );
367  addAssign( ~lhs, rhs.lhs_ );
368  }
370  //**********************************************************************************************
371 
372  //**Addition assignment to sparse matrices******************************************************
373  // No special implementation for the addition assignment to sparse matrices.
374  //**********************************************************************************************
375 
376  //**Subtraction assignment to dense matrices****************************************************
388  template< typename MT // Type of the target dense matrix
389  , bool SO2 > // Storage order of the target dense matrix
390  friend inline void subAssign( DenseMatrix<MT,SO2>& lhs, const SMatDMatSubExpr& rhs )
391  {
393 
394  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
395  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
396 
397  addAssign( ~lhs, rhs.rhs_ );
398  subAssign( ~lhs, rhs.lhs_ );
399  }
401  //**********************************************************************************************
402 
403  //**Subtraction assignment to sparse matrices***************************************************
404  // No special implementation for the subtraction assignment to sparse matrices.
405  //**********************************************************************************************
406 
407  //**Schur product assignment to dense matrices**************************************************
420  template< typename MT // Type of the target dense matrix
421  , bool SO2 > // Storage order of the target dense matrix
422  friend inline void schurAssign( DenseMatrix<MT,SO2>& lhs, const SMatDMatSubExpr& rhs )
423  {
425 
429 
430  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
431  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
432 
433  const ResultType tmp( serial( rhs ) );
434  schurAssign( ~lhs, tmp );
435  }
437  //**********************************************************************************************
438 
439  //**Schur product assignment to sparse matrices*************************************************
440  // No special implementation for the Schur product assignment to sparse matrices.
441  //**********************************************************************************************
442 
443  //**Multiplication assignment to dense matrices*************************************************
444  // No special implementation for the multiplication assignment to dense matrices.
445  //**********************************************************************************************
446 
447  //**Multiplication assignment to sparse matrices************************************************
448  // No special implementation for the multiplication assignment to sparse matrices.
449  //**********************************************************************************************
450 
451  //**SMP assignment to dense matrices*************************************************************
465  template< typename MT // Type of the target dense matrix
466  , bool SO2 > // Storage order of the target dense matrix
467  friend inline EnableIf_< UseSMPAssign<MT> >
468  smpAssign( DenseMatrix<MT,SO2>& lhs, const SMatDMatSubExpr& rhs )
469  {
471 
472  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
473  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
474 
475  smpAssign ( ~lhs, -rhs.rhs_ );
476  smpAddAssign( ~lhs, rhs.lhs_ );
477  }
479  //**********************************************************************************************
480 
481  //**SMP assignment to sparse matrices***********************************************************
495  template< typename MT // Type of the target sparse matrix
496  , bool SO2 > // Storage order of the target sparse matrix
497  friend inline EnableIf_< UseSMPAssign<MT> >
499  {
501 
503 
510 
511  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
512  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
513 
514  const TmpType tmp( rhs );
515  smpAssign( ~lhs, tmp );
516  }
518  //**********************************************************************************************
519 
520  //**SMP addition assignment to dense matrices***************************************************
534  template< typename MT // Type of the target dense matrix
535  , bool SO2 > // Storage order of the target dense matrix
536  friend inline EnableIf_< UseSMPAssign<MT> >
538  {
540 
541  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
542  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
543 
544  smpSubAssign( ~lhs, rhs.rhs_ );
545  smpAddAssign( ~lhs, rhs.lhs_ );
546  }
548  //**********************************************************************************************
549 
550  //**SMP addition assignment to sparse matrices**************************************************
551  // No special implementation for the SMP addition assignment to sparse matrices.
552  //**********************************************************************************************
553 
554  //**SMP subtraction assignment to dense matrices************************************************
568  template< typename MT // Type of the target dense matrix
569  , bool SO2 > // Storage order of the target dense matrix
570  friend inline EnableIf_< UseSMPAssign<MT> >
572  {
574 
575  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
576  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
577 
578  smpAddAssign( ~lhs, rhs.rhs_ );
579  smpSubAssign( ~lhs, rhs.lhs_ );
580  }
582  //**********************************************************************************************
583 
584  //**SMP subtraction assignment to sparse matrices***********************************************
585  // No special implementation for the SMP subtraction assignment to sparse matrices.
586  //**********************************************************************************************
587 
588  //**SMP Schur product assignment to dense matrices**********************************************
603  template< typename MT // Type of the target dense matrix
604  , bool SO2 > // Storage order of the target dense matrix
605  friend inline EnableIf_< UseSMPAssign<MT> >
607  {
609 
613 
614  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
615  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
616 
617  const ResultType tmp( rhs );
618  smpSchurAssign( ~lhs, tmp );
619  }
621  //**********************************************************************************************
622 
623  //**SMP Schur product assignment to sparse matrices*********************************************
624  // No special implementation for the SMP Schur product assignment to sparse matrices.
625  //**********************************************************************************************
626 
627  //**SMP multiplication assignment to dense matrices*********************************************
628  // No special implementation for the SMP multiplication assignment to dense matrices.
629  //**********************************************************************************************
630 
631  //**SMP multiplication assignment to sparse matrices********************************************
632  // No special implementation for the SMP multiplication assignment to sparse matrices.
633  //**********************************************************************************************
634 
635  //**Compile time checks*************************************************************************
642  //**********************************************************************************************
643 };
644 //*************************************************************************************************
645 
646 
647 
648 
649 //=================================================================================================
650 //
651 // GLOBAL BINARY ARITHMETIC OPERATORS
652 //
653 //=================================================================================================
654 
655 //*************************************************************************************************
684 template< typename MT1 // Type of the left-hand side sparse matrix
685  , typename MT2 // Type of the right-hand side dense matrix
686  , bool SO > // Storage order
687 inline decltype(auto)
688  operator-( const SparseMatrix<MT1,SO>& lhs, const DenseMatrix<MT2,SO>& rhs )
689 {
691 
692  if( (~lhs).rows() != (~rhs).rows() || (~lhs).columns() != (~rhs).columns() ) {
693  BLAZE_THROW_INVALID_ARGUMENT( "Matrix sizes do not match" );
694  }
695 
697  return ReturnType( ~lhs, ~rhs );
698 }
699 //*************************************************************************************************
700 
701 
702 
703 
704 //=================================================================================================
705 //
706 // GLOBAL RESTRUCTURING BINARY ARITHMETIC OPERATORS
707 //
708 //=================================================================================================
709 
710 //*************************************************************************************************
723 template< typename MT1 // Type of the sparse matrix of the left-hand side expression
724  , typename MT2 // Type of the dense matrix of the left-hand side expression
725  , bool SO1 // Storage order of the left-hand side expression
726  , typename MT3 // Type of the right-hand side dense matrix
727  , bool SO2 > // Storage order of the right-hand side dense matrix
728 inline decltype(auto)
730 {
732 
733  return ( (~rhs) - lhs.rightOperand() ) + lhs.leftOperand();
734 }
736 //*************************************************************************************************
737 
738 
739 //*************************************************************************************************
752 template< typename MT1 // Type of the sparse matrix of the left-hand side expression
753  , typename MT2 // Type of the dense matrix of the left-hand side expression
754  , bool SO1 // Storage order of the left-hand side expression
755  , typename MT3 // Type of the right-hand side dense matrix
756  , bool SO2 > // Storage order of the right-hand side dense matrix
757 inline decltype(auto)
759 {
761 
762  return lhs.leftOperand() - ( lhs.rightOperand() + (~rhs) );
763 }
765 //*************************************************************************************************
766 
767 
768 
769 
770 //=================================================================================================
771 //
772 // SIZE SPECIALIZATIONS
773 //
774 //=================================================================================================
775 
776 //*************************************************************************************************
778 template< typename MT1, typename MT2, bool SO >
779 struct Size< SMatDMatSubExpr<MT1,MT2,SO>, 0UL >
780  : public Maximum< Size<MT1,0UL>, Size<MT2,0UL> >
781 {};
782 
783 template< typename MT1, typename MT2, bool SO >
784 struct Size< SMatDMatSubExpr<MT1,MT2,SO>, 1UL >
785  : public Maximum< Size<MT1,1UL>, Size<MT2,1UL> >
786 {};
788 //*************************************************************************************************
789 
790 
791 
792 
793 //=================================================================================================
794 //
795 // ISSYMMETRIC SPECIALIZATIONS
796 //
797 //=================================================================================================
798 
799 //*************************************************************************************************
801 template< typename MT1, typename MT2, bool SO >
802 struct IsSymmetric< SMatDMatSubExpr<MT1,MT2,SO> >
803  : public And< IsSymmetric<MT1>, IsSymmetric<MT2> >
804 {};
806 //*************************************************************************************************
807 
808 
809 
810 
811 //=================================================================================================
812 //
813 // ISHERMITIAN SPECIALIZATIONS
814 //
815 //=================================================================================================
816 
817 //*************************************************************************************************
819 template< typename MT1, typename MT2, bool SO >
820 struct IsHermitian< SMatDMatSubExpr<MT1,MT2,SO> >
821  : public And< IsHermitian<MT1>, IsHermitian<MT2> >
822 {};
824 //*************************************************************************************************
825 
826 
827 
828 
829 //=================================================================================================
830 //
831 // ISLOWER SPECIALIZATIONS
832 //
833 //=================================================================================================
834 
835 //*************************************************************************************************
837 template< typename MT1, typename MT2, bool SO >
838 struct IsLower< SMatDMatSubExpr<MT1,MT2,SO> >
839  : public And< IsLower<MT1>, IsLower<MT2> >
840 {};
842 //*************************************************************************************************
843 
844 
845 
846 
847 //=================================================================================================
848 //
849 // ISUNILOWER SPECIALIZATIONS
850 //
851 //=================================================================================================
852 
853 //*************************************************************************************************
855 template< typename MT1, typename MT2, bool SO >
856 struct IsUniLower< SMatDMatSubExpr<MT1,MT2,SO> >
857  : public And< IsUniLower<MT1>, IsStrictlyLower<MT2> >
858 {};
860 //*************************************************************************************************
861 
862 
863 
864 
865 //=================================================================================================
866 //
867 // ISSTRICTLYLOWER SPECIALIZATIONS
868 //
869 //=================================================================================================
870 
871 //*************************************************************************************************
873 template< typename MT1, typename MT2, bool SO >
874 struct IsStrictlyLower< SMatDMatSubExpr<MT1,MT2,SO> >
875  : public And< IsStrictlyLower<MT1>, IsStrictlyLower<MT2> >
876 {};
878 //*************************************************************************************************
879 
880 
881 
882 
883 //=================================================================================================
884 //
885 // ISUPPER SPECIALIZATIONS
886 //
887 //=================================================================================================
888 
889 //*************************************************************************************************
891 template< typename MT1, typename MT2, bool SO >
892 struct IsUpper< SMatDMatSubExpr<MT1,MT2,SO> >
893  : public And< IsUpper<MT1>, IsUpper<MT2> >
894 {};
896 //*************************************************************************************************
897 
898 
899 
900 
901 //=================================================================================================
902 //
903 // ISUNIUPPER SPECIALIZATIONS
904 //
905 //=================================================================================================
906 
907 //*************************************************************************************************
909 template< typename MT1, typename MT2, bool SO >
910 struct IsUniUpper< SMatDMatSubExpr<MT1,MT2,SO> >
911  : public And< IsUniUpper<MT1>, IsStrictlyUpper<MT2> >
912 {};
914 //*************************************************************************************************
915 
916 
917 
918 
919 //=================================================================================================
920 //
921 // ISSTRICTLYUPPER SPECIALIZATIONS
922 //
923 //=================================================================================================
924 
925 //*************************************************************************************************
927 template< typename MT1, typename MT2, bool SO >
928 struct IsStrictlyUpper< SMatDMatSubExpr<MT1,MT2,SO> >
929  : public And< IsStrictlyUpper<MT1>, IsStrictlyUpper<MT2> >
930 {};
932 //*************************************************************************************************
933 
934 } // namespace blaze
935 
936 #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:169
ResultType_< MT2 > RT2
Result type of the right-hand side dense matrix expression.
Definition: SMatDMatSubExpr.h:102
Compile time check whether the given type is a temporary vector or matrix type.This type trait class ...
Definition: IsTemporary.h:69
Header file for the IsUniUpper type trait.
EnableIf_< IsDenseMatrix< MT1 > > smpSchurAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the SMP Schur product assignment of a matrix to dense matrix.
Definition: DenseMatrix.h:196
Header file for the subtraction trait.
Header file for basic type definitions.
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:152
#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:101
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: SMatDMatSubExpr.h:200
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:701
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: SMatDMatSubExpr.h:258
Header file for the And class template.
Compile time value evaluation.The Maximum alias declaration selects the larger of the two given templ...
Definition: Maximum.h:73
Compile time check for lower triangular matrices.This type trait tests whether or not the given templ...
Definition: IsLower.h:87
LeftOperand lhs_
Left-hand side sparse matrix of the subtraction expression.
Definition: SMatDMatSubExpr.h:278
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: SMatDMatSubExpr.h:226
RightOperand rhs_
Right-hand side dense matrix of the subtraction expression.
Definition: SMatDMatSubExpr.h:279
Header file for the Computation base class.
Compile time check for upper triangular matrices.This type trait tests whether or not the given templ...
Definition: IsUpper.h:87
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:733
const ResultType CompositeType
Data type for composite expression templates.
Definition: SMatDMatSubExpr.h:146
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: SMatDMatSubExpr.h:271
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:138
Base class for dense matrices.The DenseMatrix class is a base class for all dense matrix classes...
Definition: DenseMatrix.h:80
Base class for sparse matrices.The SparseMatrix class is a base class for all sparse matrix classes...
Definition: Forward.h:129
typename IfTrue< Condition, T1, T2 >::Type IfTrue_
Auxiliary alias declaration for the IfTrue class template.The IfTrue_ alias declaration provides a co...
Definition: If.h:109
typename T::ReturnType ReturnType_
Alias declaration for nested ReturnType type definitions.The ReturnType_ alias declaration provides a...
Definition: Aliases.h:363
ReturnType_< MT1 > RN1
Return type of the left-hand side sparse matrix expression.
Definition: SMatDMatSubExpr.h:103
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:185
ElementType_< ResultType > ElementType
Resulting element type.
Definition: SMatDMatSubExpr.h:140
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:58
Header file for the If class template.
const IfTrue_< returnExpr, ExprReturnType, ElementType > ReturnType
Return type for expression template evaluations.
Definition: SMatDMatSubExpr.h:143
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.
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:236
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.
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: SMatDMatSubExpr.h:139
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:816
#define BLAZE_CONSTRAINT_MUST_NOT_REQUIRE_EVALUATION(T)
Constraint on the data type.In case the given data type T requires an intermediate evaluation within ...
Definition: RequiresEvaluation.h:81
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: SMatDMatSubExpr.h:216
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:104
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:246
const Type & ReturnType
Return type for expression template evaluations.
Definition: CompressedMatrix.h:3080
If_< IsExpression< MT1 >, const MT1, const MT1 &> LeftOperand
Composite type of the left-hand side dense matrix expression.
Definition: SMatDMatSubExpr.h:149
typename SubTrait< T1, T2 >::Type SubTrait_
Auxiliary alias declaration for the SubTrait class template.The SubTrait_ alias declaration provides ...
Definition: SubTrait.h:291
Compile time evaluation of the size of vectors and matrices.The Size type trait evaluates the size of...
Definition: Size.h:80
Compile time logical &#39;and&#39; evaluation.The And alias declaration performs at compile time a logical &#39;a...
Definition: And.h:76
SubTrait_< RT1, RT2 > ResultType
Result type for expression template evaluations.
Definition: SMatDMatSubExpr.h:137
#define BLAZE_CONSTRAINT_MUST_FORM_VALID_MATMATSUBEXPR(T1, T2)
Constraint on the data type.In case the given data types T1 and T2 do not form a valid matrix/matrix ...
Definition: MatMatSubExpr.h:107
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:117
Header file for the Size type trait.
#define BLAZE_INTERNAL_ASSERT(expr, msg)
Run time assertion macro for internal checks.In case of an invalid run time expression, the program execution is terminated. The BLAZE_INTERNAL_ASSERT macro can be disabled by setting the BLAZE_USER_ASSERTION flag to zero or by defining NDEBUG during the compilation.
Definition: Assert.h:101
#define BLAZE_CONSTRAINT_MUST_BE_SPARSE_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is not a sparse, N-dimensional matrix type...
Definition: SparseMatrix.h:61
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.