DMatTSMatAddExpr.h
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1 //=================================================================================================
33 //=================================================================================================
34 
35 #ifndef _BLAZE_MATH_EXPRESSIONS_DMATTSMATADDEXPR_H_
36 #define _BLAZE_MATH_EXPRESSIONS_DMATTSMATADDEXPR_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>
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/mpl/Or.h>
78 #include <blaze/util/Types.h>
79 
80 
81 namespace blaze {
82 
83 //=================================================================================================
84 //
85 // CLASS DMATTSMATADDEXPR
86 //
87 //=================================================================================================
88 
89 //*************************************************************************************************
96 template< typename MT1 // Type of the left-hand side dense matrix
97  , typename MT2 > // Type of the right-hand side sparse matrix
99  : public MatMatAddExpr< DenseMatrix< DMatTSMatAddExpr<MT1,MT2>, false > >
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 DMatTSMatAddExpr( const MT1& lhs, const MT2& rhs ) noexcept
173  : lhs_( lhs ) // Left-hand side dense matrix of the addition expression
174  , rhs_( rhs ) // Right-hand side sparse matrix of the addition 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 {
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 ( IsExpression<MT1>::value && lhs_.canAlias( alias ) ) ||
263  ( rhs_.canAlias( alias ) );
264  }
265  //**********************************************************************************************
266 
267  //**********************************************************************************************
273  template< typename T >
274  inline bool isAliased( const T* alias ) const noexcept {
275  return ( lhs_.canAlias( alias ) || rhs_.canAlias( 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 DMatTSMatAddExpr& 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  if( !IsOperation<MT1>::value && isSame( ~lhs, rhs.lhs_ ) ) {
307  addAssign( ~lhs, rhs.rhs_ );
308  }
309  else {
310  assign ( ~lhs, rhs.lhs_ );
311  addAssign( ~lhs, rhs.rhs_ );
312  }
313  }
315  //**********************************************************************************************
316 
317  //**Assignment to sparse matrices***************************************************************
329  template< typename MT // Type of the target sparse matrix
330  , bool SO2 > // Storage order of the target sparse matrix
331  friend inline void assign( SparseMatrix<MT,SO2>& lhs, const DMatTSMatAddExpr& rhs )
332  {
334 
336 
343 
344  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
345  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
346 
347  const TmpType tmp( serial( rhs ) );
348  assign( ~lhs, tmp );
349  }
351  //**********************************************************************************************
352 
353  //**Addition assignment to dense matrices*******************************************************
366  template< typename MT // Type of the target dense matrix
367  , bool SO2 > // Storage order of the target dense matrix
368  friend inline void addAssign( DenseMatrix<MT,SO2>& lhs, const DMatTSMatAddExpr& rhs )
369  {
371 
372  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
373  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
374 
375  addAssign( ~lhs, rhs.lhs_ );
376  addAssign( ~lhs, rhs.rhs_ );
377  }
379  //**********************************************************************************************
380 
381  //**Addition assignment to sparse matrices******************************************************
382  // No special implementation for the addition assignment to sparse matrices.
383  //**********************************************************************************************
384 
385  //**Subtraction assignment to dense matrices****************************************************
398  template< typename MT // Type of the target dense matrix
399  , bool SO2 > // Storage order of the target dense matrix
400  friend inline void subAssign( DenseMatrix<MT,SO2>& lhs, const DMatTSMatAddExpr& rhs )
401  {
403 
404  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
405  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
406 
407  subAssign( ~lhs, rhs.lhs_ );
408  subAssign( ~lhs, rhs.rhs_ );
409  }
411  //**********************************************************************************************
412 
413  //**Subtraction assignment to sparse matrices***************************************************
414  // No special implementation for the subtraction assignment to sparse matrices.
415  //**********************************************************************************************
416 
417  //**Schur product assignment to dense matrices**************************************************
430  template< typename MT // Type of the target dense matrix
431  , bool SO2 > // Storage order of the target dense matrix
432  friend inline void schurAssign( DenseMatrix<MT,SO2>& lhs, const DMatTSMatAddExpr& rhs )
433  {
435 
439 
440  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
441  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
442 
443  const ResultType tmp( serial( rhs ) );
444  schurAssign( ~lhs, tmp );
445  }
447  //**********************************************************************************************
448 
449  //**Schur product assignment to sparse matrices*************************************************
450  // No special implementation for the Schur product assignment to sparse matrices.
451  //**********************************************************************************************
452 
453  //**Multiplication assignment to dense matrices*************************************************
454  // No special implementation for the multiplication assignment to dense matrices.
455  //**********************************************************************************************
456 
457  //**Multiplication assignment to sparse matrices************************************************
458  // No special implementation for the multiplication assignment to sparse matrices.
459  //**********************************************************************************************
460 
461  //**SMP assignment to dense matrices************************************************************
475  template< typename MT // Type of the target dense matrix
476  , bool SO2 > // Storage order of the target dense matrix
477  friend inline EnableIf_< UseSMPAssign<MT> >
479  {
481 
482  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
483  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
484 
485  if( !IsOperation<MT1>::value && isSame( ~lhs, rhs.lhs_ ) ) {
486  smpAddAssign( ~lhs, rhs.rhs_ );
487  }
488  else {
489  smpAssign ( ~lhs, rhs.lhs_ );
490  smpAddAssign( ~lhs, rhs.rhs_ );
491  }
492  }
494  //**********************************************************************************************
495 
496  //**SMP assignment to sparse matrices***********************************************************
510  template< typename MT // Type of the target sparse matrix
511  , bool SO2 > // Storage order of the target sparse matrix
512  friend inline EnableIf_< UseSMPAssign<MT> >
514  {
516 
518 
525 
526  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
527  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
528 
529  const TmpType tmp( rhs );
530  smpAssign( ~lhs, tmp );
531  }
533  //**********************************************************************************************
534 
535  //**SMP addition assignment to dense matrices***************************************************
550  template< typename MT // Type of the target dense matrix
551  , bool SO2 > // Storage order of the target dense matrix
552  friend inline EnableIf_< UseSMPAssign<MT> >
554  {
556 
557  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
558  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
559 
560  smpAddAssign( ~lhs, rhs.lhs_ );
561  smpAddAssign( ~lhs, rhs.rhs_ );
562  }
564  //**********************************************************************************************
565 
566  //**SMP addition assignment to sparse matrices**************************************************
567  // No special implementation for the SMP addition assignment to sparse matrices.
568  //**********************************************************************************************
569 
570  //**SMP subtraction assignment to dense matrices************************************************
585  template< typename MT // Type of the target dense matrix
586  , bool SO2 > // Storage order of the target dense matrix
587  friend inline EnableIf_< UseSMPAssign<MT> >
589  {
591 
592  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
593  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
594 
595  smpSubAssign( ~lhs, rhs.lhs_ );
596  smpSubAssign( ~lhs, rhs.rhs_ );
597  }
599  //**********************************************************************************************
600 
601  //**SMP subtraction assignment to sparse matrices***********************************************
602  // No special implementation for the SMP subtraction assignment to sparse matrices.
603  //**********************************************************************************************
604 
605  //**SMP Schur product assignment to dense matrices**********************************************
620  template< typename MT // Type of the target dense matrix
621  , bool SO2 > // Storage order of the target dense matrix
622  friend inline EnableIf_< UseSMPAssign<MT> >
624  {
626 
630 
631  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
632  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
633 
634  const ResultType tmp( rhs );
635  smpSchurAssign( ~lhs, tmp );
636  }
638  //**********************************************************************************************
639 
640  //**SMP Schur product assignment to sparse matrices*********************************************
641  // No special implementation for the SMP Schur product assignment to sparse matrices.
642  //**********************************************************************************************
643 
644  //**SMP multiplication assignment to dense matrices*********************************************
645  // No special implementation for the SMP multiplication assignment to dense matrices.
646  //**********************************************************************************************
647 
648  //**SMP multiplication assignment to sparse matrices********************************************
649  // No special implementation for the SMP multiplication assignment to sparse matrices.
650  //**********************************************************************************************
651 
652  //**Compile time checks*************************************************************************
660  //**********************************************************************************************
661 };
662 //*************************************************************************************************
663 
664 
665 
666 
667 //=================================================================================================
668 //
669 // GLOBAL BINARY ARITHMETIC OPERATORS
670 //
671 //=================================================================================================
672 
673 //*************************************************************************************************
703 template< typename MT1 // Type of the left-hand side dense matrix
704  , typename MT2 > // Type of the right-hand side sparse matrix
705 inline decltype(auto)
706  operator+( const DenseMatrix<MT1,false>& lhs, const SparseMatrix<MT2,true>& rhs )
707 {
709 
710  if( (~lhs).rows() != (~rhs).rows() || (~lhs).columns() != (~rhs).columns() ) {
711  BLAZE_THROW_INVALID_ARGUMENT( "Matrix sizes do not match" );
712  }
713 
715  return ReturnType( ~lhs, ~rhs );
716 }
717 //*************************************************************************************************
718 
719 
720 //*************************************************************************************************
750 template< typename MT1 // Type of the left-hand side dense matrix
751  , typename MT2 > // Type of the right-hand side sparse matrix
752 inline decltype(auto)
753  operator+( const SparseMatrix<MT2,true>& lhs, const DenseMatrix<MT1,false>& rhs )
754 {
756 
757  if( (~lhs).rows() != (~rhs).rows() || (~lhs).columns() != (~rhs).columns() ) {
758  BLAZE_THROW_INVALID_ARGUMENT( "Matrix sizes do not match" );
759  }
760 
762  return ReturnType( ~rhs, ~lhs );
763 }
764 //*************************************************************************************************
765 
766 
767 
768 
769 //=================================================================================================
770 //
771 // GLOBAL RESTRUCTURING BINARY ARITHMETIC OPERATORS
772 //
773 //=================================================================================================
774 
775 //*************************************************************************************************
788 template< typename MT1 // Type of the dense matrix of the left-hand side expression
789  , typename MT2 // Type of the sparse matrix of the left-hand side expression
790  , typename MT3 // Type of the right-hand side dense matrix
791  , bool SO > // Storage order of the right-hand side dense matrix
792 inline decltype(auto)
794 {
796 
797  return ( lhs.leftOperand() + (~rhs) ) + lhs.rightOperand();
798 }
800 //*************************************************************************************************
801 
802 
803 //*************************************************************************************************
816 template< typename MT1 // Type of the dense matrix of the left-hand side expression
817  , typename MT2 // Type of the sparse matrix of the left-hand side expression
818  , typename MT3 // Type of the right-hand side dense matrix
819  , bool SO > // Storage order of the right-hand side dense matrix
820 inline decltype(auto)
822 {
824 
825  return ( lhs.leftOperand() - (~rhs) ) + lhs.rightOperand();
826 }
828 //*************************************************************************************************
829 
830 
831 
832 
833 //=================================================================================================
834 //
835 // SIZE SPECIALIZATIONS
836 //
837 //=================================================================================================
838 
839 //*************************************************************************************************
841 template< typename MT1, typename MT2 >
842 struct Size< DMatTSMatAddExpr<MT1,MT2>, 0UL >
843  : public Maximum< Size<MT1,0UL>, Size<MT2,0UL> >
844 {};
845 
846 template< typename MT1, typename MT2 >
847 struct Size< DMatTSMatAddExpr<MT1,MT2>, 1UL >
848  : public Maximum< Size<MT1,1UL>, Size<MT2,1UL> >
849 {};
851 //*************************************************************************************************
852 
853 
854 
855 
856 //=================================================================================================
857 //
858 // ISSYMMETRIC SPECIALIZATIONS
859 //
860 //=================================================================================================
861 
862 //*************************************************************************************************
864 template< typename MT1, typename MT2 >
865 struct IsSymmetric< DMatTSMatAddExpr<MT1,MT2> >
866  : public And< IsSymmetric<MT1>, IsSymmetric<MT2> >
867 {};
869 //*************************************************************************************************
870 
871 
872 
873 
874 //=================================================================================================
875 //
876 // ISHERMITIAN SPECIALIZATIONS
877 //
878 //=================================================================================================
879 
880 //*************************************************************************************************
882 template< typename MT1, typename MT2 >
883 struct IsHermitian< DMatTSMatAddExpr<MT1,MT2> >
884  : public And< IsHermitian<MT1>, IsHermitian<MT2> >
885 {};
887 //*************************************************************************************************
888 
889 
890 
891 
892 //=================================================================================================
893 //
894 // ISLOWER SPECIALIZATIONS
895 //
896 //=================================================================================================
897 
898 //*************************************************************************************************
900 template< typename MT1, typename MT2 >
901 struct IsLower< DMatTSMatAddExpr<MT1,MT2> >
902  : public And< IsLower<MT1>, IsLower<MT2> >
903 {};
905 //*************************************************************************************************
906 
907 
908 
909 
910 //=================================================================================================
911 //
912 // ISUNILOWER SPECIALIZATIONS
913 //
914 //=================================================================================================
915 
916 //*************************************************************************************************
918 template< typename MT1, typename MT2 >
919 struct IsUniLower< DMatTSMatAddExpr<MT1,MT2> >
920  : public Or< And< IsUniLower<MT1>, IsStrictlyLower<MT2> >
921  , And< IsUniLower<MT2>, IsStrictlyLower<MT1> > >
922 {};
924 //*************************************************************************************************
925 
926 
927 
928 
929 //=================================================================================================
930 //
931 // ISSTRICTLYLOWER SPECIALIZATIONS
932 //
933 //=================================================================================================
934 
935 //*************************************************************************************************
937 template< typename MT1, typename MT2 >
938 struct IsStrictlyLower< DMatTSMatAddExpr<MT1,MT2> >
939  : public And< IsStrictlyLower<MT1>, IsStrictlyLower<MT2> >
940 {};
942 //*************************************************************************************************
943 
944 
945 
946 
947 //=================================================================================================
948 //
949 // ISUPPER SPECIALIZATIONS
950 //
951 //=================================================================================================
952 
953 //*************************************************************************************************
955 template< typename MT1, typename MT2 >
956 struct IsUpper< DMatTSMatAddExpr<MT1,MT2> >
957  : public And< IsUpper<MT1>, IsUpper<MT2> >
958 {};
960 //*************************************************************************************************
961 
962 
963 
964 
965 //=================================================================================================
966 //
967 // ISUNIUPPER SPECIALIZATIONS
968 //
969 //=================================================================================================
970 
971 //*************************************************************************************************
973 template< typename MT1, typename MT2 >
974 struct IsUniUpper< DMatTSMatAddExpr<MT1,MT2> >
975  : public Or< And< IsUniUpper<MT1>, IsStrictlyUpper<MT2> >
976  , And< IsUniUpper<MT2>, IsStrictlyUpper<MT1> > >
977 {};
979 //*************************************************************************************************
980 
981 
982 
983 
984 //=================================================================================================
985 //
986 // ISSTRICTLYUPPER SPECIALIZATIONS
987 //
988 //=================================================================================================
989 
990 //*************************************************************************************************
992 template< typename MT1, typename MT2 >
993 struct IsStrictlyUpper< DMatTSMatAddExpr<MT1,MT2> >
994  : public And< IsStrictlyUpper<MT1>, IsStrictlyUpper<MT2> >
995 {};
997 //*************************************************************************************************
998 
999 } // namespace blaze
1000 
1001 #endif
#define BLAZE_THROW_INVALID_ARGUMENT(MESSAGE)
Macro for the emission of a std::invalid_argument exception.This macro encapsulates the default way o...
Definition: Exception.h:235
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: DMatTSMatAddExpr.h:219
Header file for auxiliary alias declarations.
LeftOperand lhs_
Left-hand side dense matrix of the addition expression.
Definition: DMatTSMatAddExpr.h:281
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: DMatTSMatAddExpr.h:229
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
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: DMatTSMatAddExpr.h:203
BLAZE_ALWAYS_INLINE bool isSame(const Matrix< MT1, SO1 > &a, const Matrix< MT2, SO2 > &b) noexcept
Returns whether the two given matrices represent the same observable state.
Definition: Matrix.h:949
Header file for basic type definitions.
Compile time check whether the given type is an operational expression template.This type trait class...
Definition: IsOperation.h:70
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_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
ElementType_< ResultType > ElementType
Resulting element type.
Definition: DMatTSMatAddExpr.h:143
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
RightOperand rightOperand() const noexcept
Returns the right-hand side transpose sparse matrix operand.
Definition: DMatTSMatAddExpr.h:249
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
RightOperand rhs_
Right-hand side sparse matrix of the addition expression.
Definition: DMatTSMatAddExpr.h:282
Compile time check for lower triangular matrices.This type trait tests whether or not the given templ...
Definition: IsLower.h:87
Header file for the AddExprTrait class template.
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: DMatTSMatAddExpr.h:188
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
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: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
If_< IsExpression< MT1 >, const MT1, const MT1 &> LeftOperand
Composite type of the left-hand side dense matrix expression.
Definition: DMatTSMatAddExpr.h:152
Constraint on the data type.
Constraint on the data type.
Header file for the Maximum class template.
If_< IsExpression< MT2 >, const MT2, const MT2 &> RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: DMatTSMatAddExpr.h:155
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.
typename AddExprTrait< T1, T2 >::Type AddExprTrait_
Auxiliary alias declaration for the AddExprTrait class template.The AddExprTrait_ alias declaration p...
Definition: AddExprTrait.h:112
Namespace of the Blaze C++ math library.
Definition: Blaze.h:58
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
const IfTrue_< returnExpr, ExprReturnType, ElementType > ReturnType
Return type for expression template evaluations.
Definition: DMatTSMatAddExpr.h:146
DMatTSMatAddExpr(const MT1 &lhs, const MT2 &rhs) noexcept
Constructor for the DMatTSMatAddExpr class.
Definition: DMatTSMatAddExpr.h:172
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
Header file for the Or class template.
#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.
AddExprTrait_< RN1, RN2 > ExprReturnType
Expression return type for the subscript operator.
Definition: DMatTSMatAddExpr.h:120
typename T::ElementType ElementType_
Alias declaration for nested ElementType type definitions.The ElementType_ alias declaration provides...
Definition: Aliases.h:163
Base class for all matrix/matrix addition expression templates.The MatMatAddExpr class serves as a ta...
Definition: MatMatAddExpr.h:66
Header file for the IsOperation type trait class.
Header file for the IsLower type trait.
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: DMatTSMatAddExpr.h:274
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
#define BLAZE_CONSTRAINT_MUST_FORM_VALID_MATMATADDEXPR(T1, T2)
Constraint on the data type.In case the given data types T1 and T2 do not form a valid matrix/matrix ...
Definition: MatMatAddExpr.h:107
Constraint on the data type.
ReturnType_< MT2 > RN2
Return type of the right-hand side sparse matrix expression.
Definition: DMatTSMatAddExpr.h:107
Header file for all forward declarations for expression class templates.
Header file for the EnableIf class template.
Header file for the IsStrictlyLower type trait.
LeftOperand leftOperand() const
Returns the left-hand side dense matrix operand.
Definition: DMatTSMatAddExpr.h:239
Compile time check for lower unitriangular matrices.This type trait tests whether or not the given te...
Definition: IsUniLower.h:86
#define BLAZE_CONSTRAINT_MUST_BE_ROW_MAJOR_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is not a row-major dense or sparse matrix t...
Definition: RowMajorMatrix.h:61
Header file for run time assertion macros.
Header file for the addition trait.
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
ResultType_< MT1 > RT1
Result type of the left-hand side dense matrix expression.
Definition: DMatTSMatAddExpr.h:104
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: DMatTSMatAddExpr.h:261
Constraint on the data type.
#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
Constraints on the storage order of matrix types.
decltype(auto) serial(const DenseMatrix< MT, SO > &dm)
Forces the serial evaluation of the given dense matrix expression dm.
Definition: DMatSerialExpr.h:816
const ResultType CompositeType
Data type for composite expression templates.
Definition: DMatTSMatAddExpr.h:149
#define BLAZE_CONSTRAINT_MUST_NOT_REQUIRE_EVALUATION(T)
Constraint on the data type.In case the given data type T requires an intermediate evaluation within ...
Definition: RequiresEvaluation.h:81
Header file for the MatMatAddExpr base class.
Expression object for dense matrix-sparse matrix additions.The DMatTSMatAddExpr class represents the ...
Definition: DMatTSMatAddExpr.h:98
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
Compile time check for strictly lower triangular matrices.This type trait tests whether or not the gi...
Definition: IsStrictlyLower.h:86
const Type & ReturnType
Return type for expression template evaluations.
Definition: CompressedMatrix.h:3080
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: DMatTSMatAddExpr.h:142
ResultType_< MT2 > RT2
Result type of the right-hand side sparse matrix expression.
Definition: DMatTSMatAddExpr.h:105
Base class for all compute expression templates.The Computation class serves as a tag for all computa...
Definition: Computation.h:66
Compile time logical &#39;or&#39; evaluation.The Or alias declaration performs at compile time a logical &#39;or&#39;...
Definition: Or.h:76
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
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.
OppositeType_< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: DMatTSMatAddExpr.h:141
AddTrait_< RT1, RT2 > ResultType
Result type for expression template evaluations.
Definition: DMatTSMatAddExpr.h:140
Header file for the IsHermitian type trait.
Header file for the Size type trait.
ReturnType_< MT1 > RN1
Return type of the left-hand side dense matrix expression.
Definition: DMatTSMatAddExpr.h:106
typename AddTrait< T1, T2 >::Type AddTrait_
Auxiliary alias declaration for the AddTrait class template.The AddTrait_ alias declaration provides ...
Definition: AddTrait.h:291
#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.