TDMatSMatAddExpr.h
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1 //=================================================================================================
33 //=================================================================================================
34 
35 #ifndef _BLAZE_MATH_EXPRESSIONS_TDMATSMATADDEXPR_H_
36 #define _BLAZE_MATH_EXPRESSIONS_TDMATSMATADDEXPR_H_
37 
38 
39 //*************************************************************************************************
40 // Includes
41 //*************************************************************************************************
42 
43 #include <blaze/math/Aliases.h>
51 #include <blaze/math/Exception.h>
72 #include <blaze/util/Assert.h>
73 #include <blaze/util/EnableIf.h>
76 #include <blaze/util/InvalidType.h>
77 #include <blaze/util/mpl/And.h>
78 #include <blaze/util/mpl/If.h>
79 #include <blaze/util/mpl/Maximum.h>
80 #include <blaze/util/mpl/Or.h>
81 #include <blaze/util/Types.h>
82 
83 
84 namespace blaze {
85 
86 //=================================================================================================
87 //
88 // CLASS TDMATSMATADDEXPR
89 //
90 //=================================================================================================
91 
92 //*************************************************************************************************
99 template< typename MT1 // Type of the left-hand side dense matrix
100  , typename MT2 > // Type of the right-hand side sparse matrix
101 class TDMatSMatAddExpr
102  : public MatMatAddExpr< DenseMatrix< TDMatSMatAddExpr<MT1,MT2>, true > >
103  , private Computation
104 {
105  private:
106  //**Type definitions****************************************************************************
111  //**********************************************************************************************
112 
113  //**Return type evaluation**********************************************************************
115 
120  enum : bool { returnExpr = !IsTemporary<RN1>::value && !IsTemporary<RN2>::value };
121 
124  //**********************************************************************************************
125 
126  //**Parallel evaluation strategy****************************************************************
128 
133  template< typename MT >
134  struct UseSMPAssign {
135  enum : bool { value = ( !MT1::smpAssignable || !MT2::smpAssignable ) };
136  };
138  //**********************************************************************************************
139 
140  public:
141  //**Type definitions****************************************************************************
147 
150 
152  using CompositeType = const ResultType;
153 
155  using LeftOperand = If_< IsExpression<MT1>, const MT1, const MT1& >;
156 
158  using RightOperand = If_< IsExpression<MT2>, const MT2, const MT2& >;
159  //**********************************************************************************************
160 
161  //**Compilation flags***************************************************************************
163  enum : bool { simdEnabled = false };
164 
166  enum : bool { smpAssignable = false };
167  //**********************************************************************************************
168 
169  //**Constructor*********************************************************************************
175  explicit inline TDMatSMatAddExpr( const MT1& lhs, const MT2& rhs ) noexcept
176  : lhs_( lhs ) // Left-hand side dense matrix of the addition expression
177  , rhs_( rhs ) // Right-hand side sparse matrix of the addition expression
178  {
179  BLAZE_INTERNAL_ASSERT( lhs.rows() == rhs.rows() , "Invalid number of rows" );
180  BLAZE_INTERNAL_ASSERT( lhs.columns() == rhs.columns(), "Invalid number of columns" );
181  }
182  //**********************************************************************************************
183 
184  //**Access operator*****************************************************************************
191  inline ReturnType operator()( size_t i, size_t j ) const {
192  BLAZE_INTERNAL_ASSERT( i < lhs_.rows() , "Invalid row access index" );
193  BLAZE_INTERNAL_ASSERT( j < lhs_.columns(), "Invalid column access index" );
194  return lhs_(i,j) + rhs_(i,j);
195  }
196  //**********************************************************************************************
197 
198  //**At function*********************************************************************************
206  inline ReturnType at( size_t i, size_t j ) const {
207  if( i >= lhs_.rows() ) {
208  BLAZE_THROW_OUT_OF_RANGE( "Invalid row access index" );
209  }
210  if( j >= lhs_.columns() ) {
211  BLAZE_THROW_OUT_OF_RANGE( "Invalid column access index" );
212  }
213  return (*this)(i,j);
214  }
215  //**********************************************************************************************
216 
217  //**Rows function*******************************************************************************
222  inline size_t rows() const noexcept {
223  return lhs_.rows();
224  }
225  //**********************************************************************************************
226 
227  //**Columns function****************************************************************************
232  inline size_t columns() const noexcept {
233  return lhs_.columns();
234  }
235  //**********************************************************************************************
236 
237  //**Left operand access*************************************************************************
242  inline LeftOperand leftOperand() const noexcept {
243  return lhs_;
244  }
245  //**********************************************************************************************
246 
247  //**Right operand access************************************************************************
252  inline RightOperand rightOperand() const noexcept {
253  return rhs_;
254  }
255  //**********************************************************************************************
256 
257  //**********************************************************************************************
263  template< typename T >
264  inline bool canAlias( const T* alias ) const noexcept {
265  return ( IsExpression<MT1>::value && lhs_.canAlias( alias ) ) ||
266  ( rhs_.canAlias( alias ) );
267  }
268  //**********************************************************************************************
269 
270  //**********************************************************************************************
276  template< typename T >
277  inline bool isAliased( const T* alias ) const noexcept {
278  return ( lhs_.isAliased( alias ) || rhs_.isAliased( alias ) );
279  }
280  //**********************************************************************************************
281 
282  private:
283  //**Member variables****************************************************************************
286  //**********************************************************************************************
287 
288  //**Assignment to dense matrices****************************************************************
300  template< typename MT // Type of the target dense matrix
301  , bool SO2 > // Storage order of the target dense matrix
302  friend inline void assign( DenseMatrix<MT,SO2>& lhs, const TDMatSMatAddExpr& rhs )
303  {
305 
306  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
307  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
308 
309  if( !IsOperation<MT1>::value && isSame( ~lhs, rhs.lhs_ ) ) {
310  addAssign( ~lhs, rhs.rhs_ );
311  }
312  else {
313  assign ( ~lhs, rhs.lhs_ );
314  addAssign( ~lhs, rhs.rhs_ );
315  }
316  }
318  //**********************************************************************************************
319 
320  //**Assignment to sparse matrices***************************************************************
332  template< typename MT // Type of the target sparse matrix
333  , bool SO2 > // Storage order of the target sparse matrix
334  friend inline void assign( SparseMatrix<MT,SO2>& lhs, const TDMatSMatAddExpr& rhs )
335  {
337 
339 
346 
347  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
348  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
349 
350  const TmpType tmp( serial( rhs ) );
351  assign( ~lhs, tmp );
352  }
354  //**********************************************************************************************
355 
356  //**Addition assignment to dense matrices*******************************************************
369  template< typename MT // Type of the target dense matrix
370  , bool SO2 > // Storage order of the target dense matrix
371  friend inline void addAssign( DenseMatrix<MT,SO2>& lhs, const TDMatSMatAddExpr& rhs )
372  {
374 
375  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
376  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
377 
378  addAssign( ~lhs, rhs.lhs_ );
379  addAssign( ~lhs, rhs.rhs_ );
380  }
382  //**********************************************************************************************
383 
384  //**Addition assignment to sparse matrices******************************************************
385  // No special implementation for the addition assignment to sparse matrices.
386  //**********************************************************************************************
387 
388  //**Subtraction assignment to dense matrices****************************************************
401  template< typename MT // Type of the target dense matrix
402  , bool SO2 > // Storage order of the target dense matrix
403  friend inline void subAssign( DenseMatrix<MT,SO2>& lhs, const TDMatSMatAddExpr& rhs )
404  {
406 
407  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
408  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
409 
410  subAssign( ~lhs, rhs.lhs_ );
411  subAssign( ~lhs, rhs.rhs_ );
412  }
414  //**********************************************************************************************
415 
416  //**Subtraction assignment to sparse matrices***************************************************
417  // No special implementation for the subtraction assignment to sparse matrices.
418  //**********************************************************************************************
419 
420  //**Schur product assignment to dense matrices**************************************************
433  template< typename MT // Type of the target dense matrix
434  , bool SO2 > // Storage order of the target dense matrix
435  friend inline void schurAssign( DenseMatrix<MT,SO2>& lhs, const TDMatSMatAddExpr& rhs )
436  {
438 
442 
443  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
444  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
445 
446  const ResultType tmp( serial( rhs ) );
447  schurAssign( ~lhs, tmp );
448  }
450  //**********************************************************************************************
451 
452  //**Schur product assignment to sparse matrices*************************************************
453  // No special implementation for the Schur product assignment to sparse matrices.
454  //**********************************************************************************************
455 
456  //**Multiplication assignment to dense matrices*************************************************
457  // No special implementation for the multiplication assignment to dense matrices.
458  //**********************************************************************************************
459 
460  //**Multiplication assignment to sparse matrices************************************************
461  // No special implementation for the multiplication assignment to sparse matrices.
462  //**********************************************************************************************
463 
464  //**SMP assignment to dense matrices************************************************************
478  template< typename MT // Type of the target dense matrix
479  , bool SO2 > // Storage order of the target dense matrix
480  friend inline EnableIf_< UseSMPAssign<MT> >
482  {
484 
485  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
486  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
487 
488  if( !IsOperation<MT1>::value && isSame( ~lhs, rhs.lhs_ ) ) {
489  smpAddAssign( ~lhs, rhs.rhs_ );
490  }
491  else {
492  smpAssign ( ~lhs, rhs.lhs_ );
493  smpAddAssign( ~lhs, rhs.rhs_ );
494  }
495  }
497  //**********************************************************************************************
498 
499  //**SMP assignment to sparse matrices***********************************************************
513  template< typename MT // Type of the target sparse matrix
514  , bool SO2 > // Storage order of the target sparse matrix
515  friend inline EnableIf_< UseSMPAssign<MT> >
517  {
519 
521 
528 
529  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
530  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
531 
532  const TmpType tmp( rhs );
533  smpAssign( ~lhs, tmp );
534  }
536  //**********************************************************************************************
537 
538  //**SMP addition assignment to dense matrices***************************************************
553  template< typename MT // Type of the target dense matrix
554  , bool SO2 > // Storage order of the target dense matrix
555  friend inline EnableIf_< UseSMPAssign<MT> >
557  {
559 
560  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
561  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
562 
563  smpAddAssign( ~lhs, rhs.lhs_ );
564  smpAddAssign( ~lhs, rhs.rhs_ );
565  }
567  //**********************************************************************************************
568 
569  //**SMP addition assignment to sparse matrices**************************************************
570  // No special implementation for the SMP addition assignment to sparse matrices.
571  //**********************************************************************************************
572 
573  //**SMP subtraction assignment to dense matrices************************************************
588  template< typename MT // Type of the target dense matrix
589  , bool SO2 > // Storage order of the target dense matrix
590  friend inline EnableIf_< UseSMPAssign<MT> >
592  {
594 
595  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
596  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
597 
598  smpSubAssign( ~lhs, rhs.lhs_ );
599  smpSubAssign( ~lhs, rhs.rhs_ );
600  }
602  //**********************************************************************************************
603 
604  //**SMP subtraction assignment to sparse matrices***********************************************
605  // No special implementation for the SMP subtraction assignment to sparse matrices.
606  //**********************************************************************************************
607 
608  //**SMP Schur product assignment to dense matrices**********************************************
623  template< typename MT // Type of the target dense matrix
624  , bool SO2 > // Storage order of the target dense matrix
625  friend inline EnableIf_< UseSMPAssign<MT> >
627  {
629 
633 
634  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
635  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
636 
637  const ResultType tmp( rhs );
638  smpSchurAssign( ~lhs, tmp );
639  }
641  //**********************************************************************************************
642 
643  //**SMP Schur product assignment to sparse matrices*********************************************
644  // No special implementation for the SMP Schur product assignment to sparse matrices.
645  //**********************************************************************************************
646 
647  //**SMP multiplication assignment to dense matrices*********************************************
648  // No special implementation for the SMP multiplication assignment to dense matrices.
649  //**********************************************************************************************
650 
651  //**SMP multiplication assignment to sparse matrices********************************************
652  // No special implementation for the SMP multiplication assignment to sparse matrices.
653  //**********************************************************************************************
654 
655  //**Compile time checks*************************************************************************
663  //**********************************************************************************************
664 };
665 //*************************************************************************************************
666 
667 
668 
669 
670 //=================================================================================================
671 //
672 // GLOBAL BINARY ARITHMETIC OPERATORS
673 //
674 //=================================================================================================
675 
676 //*************************************************************************************************
707 template< typename MT1 // Type of the left-hand side dense matrix
708  , typename MT2 > // Type of the right-hand side sparse matrix
709 inline decltype(auto)
710  operator+( const DenseMatrix<MT1,true>& lhs, const SparseMatrix<MT2,false>& rhs )
711 {
713 
714  if( (~lhs).rows() != (~rhs).rows() || (~lhs).columns() != (~rhs).columns() ) {
715  BLAZE_THROW_INVALID_ARGUMENT( "Matrix sizes do not match" );
716  }
717 
719  return ReturnType( ~lhs, ~rhs );
720 }
721 //*************************************************************************************************
722 
723 
724 //*************************************************************************************************
755 template< typename MT1 // Type of the left-hand side dense matrix
756  , typename MT2 > // Type of the right-hand side sparse matrix
757 inline decltype(auto)
758  operator+( const SparseMatrix<MT2,false>& lhs, const DenseMatrix<MT1,true>& rhs )
759 {
761 
762  if( (~lhs).rows() != (~rhs).rows() || (~lhs).columns() != (~rhs).columns() ) {
763  BLAZE_THROW_INVALID_ARGUMENT( "Matrix sizes do not match" );
764  }
765 
767  return ReturnType( ~rhs, ~lhs );
768 }
769 //*************************************************************************************************
770 
771 
772 
773 
774 //=================================================================================================
775 //
776 // GLOBAL RESTRUCTURING BINARY ARITHMETIC OPERATORS
777 //
778 //=================================================================================================
779 
780 //*************************************************************************************************
793 template< typename MT1 // Type of the dense matrix of the left-hand side expression
794  , typename MT2 // Type of the sparse matrix of the left-hand side expression
795  , typename MT3 // Type of the right-hand side dense matrix
796  , bool SO > // Storage order of the right-hand side dense matrix
797 inline decltype(auto)
799 {
801 
802  return ( lhs.leftOperand() + (~rhs) ) + lhs.rightOperand();
803 }
805 //*************************************************************************************************
806 
807 
808 //*************************************************************************************************
821 template< typename MT1 // Type of the dense matrix of the left-hand side expression
822  , typename MT2 // Type of the sparse matrix of the left-hand side expression
823  , typename MT3 // Type of the right-hand side dense matrix
824  , bool SO > // Storage order of the right-hand side dense matrix
825 inline decltype(auto)
827 {
829 
830  return ( lhs.leftOperand() - (~rhs) ) + lhs.rightOperand();
831 }
833 //*************************************************************************************************
834 
835 
836 
837 
838 //=================================================================================================
839 //
840 // ROWS SPECIALIZATIONS
841 //
842 //=================================================================================================
843 
844 //*************************************************************************************************
846 template< typename MT1, typename MT2 >
847 struct Rows< TDMatSMatAddExpr<MT1,MT2> >
848  : public Maximum< Rows<MT1>, Rows<MT2> >
849 {};
851 //*************************************************************************************************
852 
853 
854 
855 
856 //=================================================================================================
857 //
858 // COLUMNS SPECIALIZATIONS
859 //
860 //=================================================================================================
861 
862 //*************************************************************************************************
864 template< typename MT1, typename MT2 >
865 struct Columns< TDMatSMatAddExpr<MT1,MT2> >
866  : public Maximum< Columns<MT1>, Columns<MT2> >
867 {};
869 //*************************************************************************************************
870 
871 
872 
873 
874 //=================================================================================================
875 //
876 // ISSYMMETRIC SPECIALIZATIONS
877 //
878 //=================================================================================================
879 
880 //*************************************************************************************************
882 template< typename MT1, typename MT2 >
883 struct IsSymmetric< TDMatSMatAddExpr<MT1,MT2> >
884  : public BoolConstant< IsSymmetric<MT1>::value && IsSymmetric<MT2>::value >
885 {};
887 //*************************************************************************************************
888 
889 
890 
891 
892 //=================================================================================================
893 //
894 // ISHERMITIAN SPECIALIZATIONS
895 //
896 //=================================================================================================
897 
898 //*************************************************************************************************
900 template< typename MT1, typename MT2 >
901 struct IsHermitian< TDMatSMatAddExpr<MT1,MT2> >
902  : public BoolConstant< IsHermitian<MT1>::value && IsHermitian<MT2>::value >
903 {};
905 //*************************************************************************************************
906 
907 
908 
909 
910 //=================================================================================================
911 //
912 // ISLOWER SPECIALIZATIONS
913 //
914 //=================================================================================================
915 
916 //*************************************************************************************************
918 template< typename MT1, typename MT2 >
919 struct IsLower< TDMatSMatAddExpr<MT1,MT2> >
920  : public BoolConstant< And< IsLower<MT1>, IsLower<MT2> >::value >
921 {};
923 //*************************************************************************************************
924 
925 
926 
927 
928 //=================================================================================================
929 //
930 // ISUNILOWER SPECIALIZATIONS
931 //
932 //=================================================================================================
933 
934 //*************************************************************************************************
936 template< typename MT1, typename MT2 >
937 struct IsUniLower< TDMatSMatAddExpr<MT1,MT2> >
938  : public BoolConstant< Or< And< IsUniLower<MT1>, IsStrictlyLower<MT2> >
939  , And< IsUniLower<MT2>, IsStrictlyLower<MT1> > >::value >
940 {};
942 //*************************************************************************************************
943 
944 
945 
946 
947 //=================================================================================================
948 //
949 // ISSTRICTLYLOWER SPECIALIZATIONS
950 //
951 //=================================================================================================
952 
953 //*************************************************************************************************
955 template< typename MT1, typename MT2 >
956 struct IsStrictlyLower< TDMatSMatAddExpr<MT1,MT2> >
957  : public BoolConstant< And< IsStrictlyLower<MT1>, IsStrictlyLower<MT2> >::value >
958 {};
960 //*************************************************************************************************
961 
962 
963 
964 
965 //=================================================================================================
966 //
967 // ISUPPER SPECIALIZATIONS
968 //
969 //=================================================================================================
970 
971 //*************************************************************************************************
973 template< typename MT1, typename MT2 >
974 struct IsUpper< TDMatSMatAddExpr<MT1,MT2> >
975  : public BoolConstant< And< IsUpper<MT1>, IsUpper<MT2> >::value >
976 {};
978 //*************************************************************************************************
979 
980 
981 
982 
983 //=================================================================================================
984 //
985 // ISUNIUPPER SPECIALIZATIONS
986 //
987 //=================================================================================================
988 
989 //*************************************************************************************************
991 template< typename MT1, typename MT2 >
992 struct IsUniUpper< TDMatSMatAddExpr<MT1,MT2> >
993  : public BoolConstant< Or< And< IsUniUpper<MT1>, IsStrictlyUpper<MT2> >
994  , And< IsUniUpper<MT2>, IsStrictlyUpper<MT1> > >::value >
995 {};
997 //*************************************************************************************************
998 
999 
1000 
1001 
1002 //=================================================================================================
1003 //
1004 // ISSTRICTLYUPPER SPECIALIZATIONS
1005 //
1006 //=================================================================================================
1007 
1008 //*************************************************************************************************
1010 template< typename MT1, typename MT2 >
1011 struct IsStrictlyUpper< TDMatSMatAddExpr<MT1,MT2> >
1012  : public BoolConstant< And< IsStrictlyUpper<MT1>, IsStrictlyUpper<MT2> >::value >
1013 {};
1015 //*************************************************************************************************
1016 
1017 } // namespace blaze
1018 
1019 #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
If_< IsExpression< MT2 >, const MT2, const MT2 &> RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: TDMatSMatAddExpr.h:158
Header file for auxiliary alias declarations.
const ResultType CompositeType
Data type for composite expression templates.
Definition: TDMatSMatAddExpr.h:152
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
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:786
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:71
const IfTrue_< returnExpr, ExprReturnType, ElementType > ReturnType
Return type for expression template evaluations.
Definition: TDMatSMatAddExpr.h:149
EnableIf_< IsDenseMatrix< MT1 > > smpSubAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the SMP subtraction assignment of a matrix to dense matrix.
Definition: DenseMatrix.h:164
Header file for the serial shim.
Generic wrapper for a compile time constant integral value.The IntegralConstant class template repres...
Definition: IntegralConstant.h:71
#define BLAZE_CONSTRAINT_MUST_BE_DENSE_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is not a dense, N-dimensional matrix type...
Definition: DenseMatrix.h:61
TDMatSMatAddExpr(const MT1 &lhs, const MT2 &rhs) noexcept
Constructor for the TDMatSMatAddExpr class.
Definition: TDMatSMatAddExpr.h:175
AddExprTrait_< RN1, RN2 > ExprReturnType
Expression return type for the subscript operator.
Definition: TDMatSMatAddExpr.h:123
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: TDMatSMatAddExpr.h:232
const DenseIterator< Type, AF > operator+(const DenseIterator< Type, AF > &it, ptrdiff_t inc) noexcept
Addition between a DenseIterator and an integral value.
Definition: DenseIterator.h:699
Header file for the And class template.
Compile time value evaluation.The Maximum alias declaration selects the larger of the two given templ...
Definition: Maximum.h:73
Compile time check for lower triangular matrices.This type trait tests whether or not the given templ...
Definition: IsLower.h:88
Header file for the AddExprTrait class template.
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
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
If_< IsExpression< MT1 >, const MT1, const MT1 &> LeftOperand
Composite type of the left-hand side dense matrix expression.
Definition: TDMatSMatAddExpr.h:155
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
LeftOperand lhs_
Left-hand side dense matrix of the addition expression.
Definition: TDMatSMatAddExpr.h:284
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
ElementType_< ResultType > ElementType
Resulting element type.
Definition: TDMatSMatAddExpr.h:146
Constraint on the data type.
Constraint on the data type.
Header file for the Maximum class template.
Compile time check for upper unitriangular matrices.This type trait tests whether or not the given te...
Definition: IsUniUpper.h:86
Header file for the IsTemporary type trait class.
Header file for the IsStrictlyUpper type trait.
Header file for the IsSymmetric type trait.
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:57
Header file for the If class template.
ResultType_< MT1 > RT1
Result type of the left-hand side dense matrix expression.
Definition: TDMatSMatAddExpr.h:107
#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
RightOperand rhs_
Right-hand side sparse matrix of the addition expression.
Definition: TDMatSMatAddExpr.h:285
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.
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 IsOperation type trait class.
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: TDMatSMatAddExpr.h:206
Header file for the IsLower type trait.
RightOperand rightOperand() const noexcept
Returns the right-hand side sparse matrix operand.
Definition: TDMatSMatAddExpr.h:252
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:108
Constraint on the data type.
Header file for all forward declarations for expression class templates.
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: TDMatSMatAddExpr.h:277
Header file for the EnableIf class template.
Header file for the IsStrictlyLower type trait.
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: TDMatSMatAddExpr.h:222
LeftOperand leftOperand() const noexcept
Returns the left-hand side transpose dense matrix operand.
Definition: TDMatSMatAddExpr.h:242
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.
AddTrait_< RT1, RT2 > ResultType
Result type for expression template evaluations.
Definition: TDMatSMatAddExpr.h:143
ResultType_< MT2 > RT2
Result type of the right-hand side sparse matrix expression.
Definition: TDMatSMatAddExpr.h:108
Utility type for generic codes.
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: TDMatSMatAddExpr.h:264
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
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: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
Header file for the MatMatAddExpr base class.
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:3082
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: TDMatSMatAddExpr.h:145
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: TDMatSMatAddExpr.h:191
Expression object for dense matrix-sparse matrix additions.The TDMatSMatAddExpr class represents the ...
Definition: Forward.h:150
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
ReturnType_< MT1 > RN1
Return type of the left-hand side dense matrix expression.
Definition: TDMatSMatAddExpr.h:109
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.
typename AddTrait< T1, T2 >::Type AddTrait_
Auxiliary alias declaration for the AddTrait class template.The AddTrait_ alias declaration provides ...
Definition: AddTrait.h:250
OppositeType_< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: TDMatSMatAddExpr.h:144
#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
ReturnType_< MT2 > RN2
Return type of the right-hand side sparse matrix expression.
Definition: TDMatSMatAddExpr.h:110
#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.