TSMatDMatSubExpr.h
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1 //=================================================================================================
33 //=================================================================================================
34 
35 #ifndef _BLAZE_MATH_EXPRESSIONS_TSMATDMATSUBEXPR_H_
36 #define _BLAZE_MATH_EXPRESSIONS_TSMATDMATSUBEXPR_H_
37 
38 
39 //*************************************************************************************************
40 // Includes
41 //*************************************************************************************************
42 
43 #include <blaze/math/Aliases.h>
51 #include <blaze/math/Exception.h>
70 #include <blaze/util/Assert.h>
71 #include <blaze/util/EnableIf.h>
73 #include <blaze/util/mpl/And.h>
74 #include <blaze/util/mpl/If.h>
75 #include <blaze/util/mpl/Maximum.h>
76 #include <blaze/util/Types.h>
77 
78 
79 namespace blaze {
80 
81 //=================================================================================================
82 //
83 // CLASS SMATTDMATSUBEXPR
84 //
85 //=================================================================================================
86 
87 //*************************************************************************************************
94 template< typename MT1 // Type of the left-hand side sparse matrix
95  , typename MT2 > // Type of the right-hand side dense matrix
96 class TSMatDMatSubExpr
97  : public MatMatSubExpr< DenseMatrix< TSMatDMatSubExpr<MT1,MT2>, false > >
98  , private Computation
99 {
100  private:
101  //**Type definitions****************************************************************************
106  //**********************************************************************************************
107 
108  //**Return type evaluation**********************************************************************
110 
115  enum : bool { returnExpr = !IsTemporary<RN1>::value && !IsTemporary<RN2>::value };
116 
119  //**********************************************************************************************
120 
121  //**Parallel evaluation strategy****************************************************************
123 
128  template< typename MT >
129  struct UseSMPAssign {
130  enum : bool { value = ( !MT1::smpAssignable || !MT2::smpAssignable ) };
131  };
133  //**********************************************************************************************
134 
135  public:
136  //**Type definitions****************************************************************************
142 
145 
147  using CompositeType = const ResultType;
148 
150  using LeftOperand = If_< IsExpression<MT1>, const MT1, const MT1& >;
151 
153  using RightOperand = If_< IsExpression<MT2>, const MT2, const MT2& >;
154  //**********************************************************************************************
155 
156  //**Compilation flags***************************************************************************
158  enum : bool { simdEnabled = false };
159 
161  enum : bool { smpAssignable = false };
162  //**********************************************************************************************
163 
164  //**Constructor*********************************************************************************
170  explicit inline TSMatDMatSubExpr( const MT1& lhs, const MT2& rhs ) noexcept
171  : lhs_( lhs ) // Left-hand side sparse matrix of the subtraction expression
172  , rhs_( rhs ) // Right-hand side dense matrix of the subtraction expression
173  {
174  BLAZE_INTERNAL_ASSERT( lhs.rows() == rhs.rows() , "Invalid number of rows" );
175  BLAZE_INTERNAL_ASSERT( lhs.columns() == rhs.columns(), "Invalid number of columns" );
176  }
177  //**********************************************************************************************
178 
179  //**Access operator*****************************************************************************
186  inline ReturnType operator()( size_t i, size_t j ) const {
187  BLAZE_INTERNAL_ASSERT( i < lhs_.rows() , "Invalid row access index" );
188  BLAZE_INTERNAL_ASSERT( j < lhs_.columns(), "Invalid column access index" );
189  return lhs_(i,j) - rhs_(i,j);
190  }
191  //**********************************************************************************************
192 
193  //**At function*********************************************************************************
201  inline ReturnType at( size_t i, size_t j ) const {
202  if( i >= lhs_.rows() ) {
203  BLAZE_THROW_OUT_OF_RANGE( "Invalid row access index" );
204  }
205  if( j >= lhs_.columns() ) {
206  BLAZE_THROW_OUT_OF_RANGE( "Invalid column access index" );
207  }
208  return (*this)(i,j);
209  }
210  //**********************************************************************************************
211 
212  //**Rows function*******************************************************************************
217  inline size_t rows() const noexcept {
218  return lhs_.rows();
219  }
220  //**********************************************************************************************
221 
222  //**Columns function****************************************************************************
227  inline size_t columns() const noexcept {
228  return lhs_.columns();
229  }
230  //**********************************************************************************************
231 
232  //**Left operand access*************************************************************************
237  inline LeftOperand leftOperand() const noexcept {
238  return lhs_;
239  }
240  //**********************************************************************************************
241 
242  //**Right operand access************************************************************************
247  inline RightOperand rightOperand() const noexcept {
248  return rhs_;
249  }
250  //**********************************************************************************************
251 
252  //**********************************************************************************************
258  template< typename T >
259  inline bool canAlias( const T* alias ) const noexcept {
260  return ( lhs_.canAlias( alias ) ) ||
261  ( IsExpression<MT2>::value && rhs_.canAlias( alias ) );
262  }
263  //**********************************************************************************************
264 
265  //**********************************************************************************************
271  template< typename T >
272  inline bool isAliased( const T* alias ) const noexcept {
273  return lhs_.isAliased( alias ) || rhs_.isAliased( alias );
274  }
275  //**********************************************************************************************
276 
277  private:
278  //**Member variables****************************************************************************
281  //**********************************************************************************************
282 
283  //**Assignment to dense matrices****************************************************************
295  template< typename MT // Type of the target dense matrix
296  , bool SO2 > // Storage order of the target dense matrix
297  friend inline void assign( DenseMatrix<MT,SO2>& lhs, const TSMatDMatSubExpr& rhs )
298  {
300 
301  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
302  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
303 
304  assign ( ~lhs, -rhs.rhs_ );
305  addAssign( ~lhs, rhs.lhs_ );
306  }
308  //**********************************************************************************************
309 
310  //**Assignment to sparse matrices***************************************************************
322  template< typename MT // Type of the target sparse matrix
323  , bool SO2 > // Storage order of the target sparse matrix
324  friend inline void assign( SparseMatrix<MT,SO2>& lhs, const TSMatDMatSubExpr& rhs )
325  {
327 
329 
336 
337  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
338  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
339 
340  const TmpType tmp( serial( rhs ) );
341  assign( ~lhs, tmp );
342  }
344  //**********************************************************************************************
345 
346  //**Addition assignment to dense matrices*******************************************************
359  template< typename MT // Type of the target dense matrix
360  , bool SO2 > // Storage order of the target dense matrix
361  friend inline void addAssign( DenseMatrix<MT,SO2>& lhs, const TSMatDMatSubExpr& rhs )
362  {
364 
365  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
366  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
367 
368  subAssign( ~lhs, rhs.rhs_ );
369  addAssign( ~lhs, rhs.lhs_ );
370  }
372  //**********************************************************************************************
373 
374  //**Addition assignment to sparse matrices******************************************************
375  // No special implementation for the addition assignment to sparse matrices.
376  //**********************************************************************************************
377 
378  //**Subtraction assignment to dense matrices****************************************************
391  template< typename MT // Type of the target dense matrix
392  , bool SO2 > // Storage order of the target dense matrix
393  friend inline void subAssign( DenseMatrix<MT,SO2>& lhs, const TSMatDMatSubExpr& rhs )
394  {
396 
397  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
398  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
399 
400  addAssign( ~lhs, rhs.rhs_ );
401  subAssign( ~lhs, rhs.lhs_ );
402  }
404  //**********************************************************************************************
405 
406  //**Subtraction assignment to sparse matrices***************************************************
407  // No special implementation for the subtraction assignment to sparse matrices.
408  //**********************************************************************************************
409 
410  //**Schur product assignment to dense matrices**************************************************
423  template< typename MT // Type of the target dense matrix
424  , bool SO2 > // Storage order of the target dense matrix
425  friend inline void schurAssign( DenseMatrix<MT,SO2>& lhs, const TSMatDMatSubExpr& rhs )
426  {
428 
432 
433  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
434  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
435 
436  const ResultType tmp( serial( rhs ) );
437  schurAssign( ~lhs, tmp );
438  }
440  //**********************************************************************************************
441 
442  //**Schur product assignment to sparse matrices*************************************************
443  // No special implementation for the Schur product assignment to sparse matrices.
444  //**********************************************************************************************
445 
446  //**Multiplication assignment to dense matrices*************************************************
447  // No special implementation for the multiplication assignment to dense matrices.
448  //**********************************************************************************************
449 
450  //**Multiplication assignment to sparse matrices************************************************
451  // No special implementation for the multiplication assignment to sparse matrices.
452  //**********************************************************************************************
453 
454  //**SMP assignment to dense matrices************************************************************
468  template< typename MT // Type of the target dense matrix
469  , bool SO2 > // Storage order of the target dense matrix
470  friend inline EnableIf_< UseSMPAssign<MT> >
472  {
474 
475  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
476  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
477 
478  smpAssign ( ~lhs, -rhs.rhs_ );
479  smpAddAssign( ~lhs, rhs.lhs_ );
480  }
482  //**********************************************************************************************
483 
484  //**SMP assignment to sparse matrices***********************************************************
498  template< typename MT // Type of the target sparse matrix
499  , bool SO2 > // Storage order of the target sparse matrix
500  friend inline EnableIf_< UseSMPAssign<MT> >
502  {
504 
506 
513 
514  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
515  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
516 
517  const TmpType tmp( rhs );
518  smpAssign( ~lhs, tmp );
519  }
521  //**********************************************************************************************
522 
523  //**SMP addition assignment to dense matrices***************************************************
538  template< typename MT // Type of the target dense matrix
539  , bool SO2 > // Storage order of the target dense matrix
540  friend inline EnableIf_< UseSMPAssign<MT> >
542  {
544 
545  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
546  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
547 
548  smpSubAssign( ~lhs, rhs.rhs_ );
549  smpAddAssign( ~lhs, rhs.lhs_ );
550  }
552  //**********************************************************************************************
553 
554  //**SMP addition assignment to sparse matrices**************************************************
555  // No special implementation for the SMP addition assignment to sparse matrices.
556  //**********************************************************************************************
557 
558  //**SMP subtraction assignment to dense matrices************************************************
573  template< typename MT // Type of the target dense matrix
574  , bool SO2 > // Storage order of the target dense matrix
575  friend inline EnableIf_< UseSMPAssign<MT> >
577  {
579 
580  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
581  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
582 
583  smpAddAssign( ~lhs, rhs.rhs_ );
584  smpSubAssign( ~lhs, rhs.lhs_ );
585  }
587  //**********************************************************************************************
588 
589  //**SMP subtraction assignment to sparse matrices***********************************************
590  // No special implementation for the SMP subtraction assignment to sparse matrices.
591  //**********************************************************************************************
592 
593  //**SMP Schur product assignment to dense matrices**********************************************
608  template< typename MT // Type of the target dense matrix
609  , bool SO2 > // Storage order of the target dense matrix
610  friend inline EnableIf_< UseSMPAssign<MT> >
612  {
614 
618 
619  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
620  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
621 
622  const ResultType tmp( rhs );
623  smpSchurAssign( ~lhs, tmp );
624  }
626  //**********************************************************************************************
627 
628  //**SMP Schur product assignment to sparse matrices*********************************************
629  // No special implementation for the SMP Schur product assignment to sparse matrices.
630  //**********************************************************************************************
631 
632  //**SMP multiplication assignment to dense matrices*********************************************
633  // No special implementation for the SMP multiplication assignment to dense matrices.
634  //**********************************************************************************************
635 
636  //**SMP multiplication assignment to sparse matrices********************************************
637  // No special implementation for the SMP multiplication assignment to sparse matrices.
638  //**********************************************************************************************
639 
640  //**Compile time checks*************************************************************************
648  //**********************************************************************************************
649 };
650 //*************************************************************************************************
651 
652 
653 
654 
655 //=================================================================================================
656 //
657 // GLOBAL BINARY ARITHMETIC OPERATORS
658 //
659 //=================================================================================================
660 
661 //*************************************************************************************************
691 template< typename MT1 // Type of the left-hand side sparse matrix
692  , typename MT2 > // Type of the right-hand side dense matrix
693 inline decltype(auto)
694  operator-( const SparseMatrix<MT1,true>& lhs, const DenseMatrix<MT2,false>& rhs )
695 {
697 
698  if( (~lhs).rows() != (~rhs).rows() || (~lhs).columns() != (~rhs).columns() ) {
699  BLAZE_THROW_INVALID_ARGUMENT( "Matrix sizes do not match" );
700  }
701 
703  return ReturnType( ~lhs, ~rhs );
704 }
705 //*************************************************************************************************
706 
707 
708 
709 
710 //=================================================================================================
711 //
712 // GLOBAL RESTRUCTURING BINARY ARITHMETIC OPERATORS
713 //
714 //=================================================================================================
715 
716 //*************************************************************************************************
729 template< typename MT1 // Type of the sparse matrix of the left-hand side expression
730  , typename MT2 // Type of the dense matrix of the left-hand side expression
731  , typename MT3 // Type of the right-hand side dense matrix
732  , bool SO > // Storage order of the right-hand side dense matrix
733 inline decltype(auto)
735 {
737 
738  return ( (~rhs) - lhs.rightOperand() ) + lhs.leftOperand();
739 }
741 //*************************************************************************************************
742 
743 
744 //*************************************************************************************************
757 template< typename MT1 // Type of the sparse matrix of the left-hand side expression
758  , typename MT2 // Type of the dense matrix of the left-hand side expression
759  , typename MT3 // Type of the right-hand side dense matrix
760  , bool SO > // Storage order of the right-hand side dense matrix
761 inline decltype(auto)
763 {
765 
766  return lhs.leftOperand() - ( lhs.rightOperand() + (~rhs) );
767 }
769 //*************************************************************************************************
770 
771 
772 
773 
774 //=================================================================================================
775 //
776 // SIZE SPECIALIZATIONS
777 //
778 //=================================================================================================
779 
780 //*************************************************************************************************
782 template< typename MT1, typename MT2 >
783 struct Size< TSMatDMatSubExpr<MT1,MT2>, 0UL >
784  : public Maximum< Size<MT1,0UL>, Size<MT2,0UL> >
785 {};
786 
787 template< typename MT1, typename MT2 >
788 struct Size< TSMatDMatSubExpr<MT1,MT2>, 1UL >
789  : public Maximum< Size<MT1,1UL>, Size<MT2,1UL> >
790 {};
792 //*************************************************************************************************
793 
794 
795 
796 
797 //=================================================================================================
798 //
799 // ISSYMMETRIC SPECIALIZATIONS
800 //
801 //=================================================================================================
802 
803 //*************************************************************************************************
805 template< typename MT1, typename MT2 >
806 struct IsSymmetric< TSMatDMatSubExpr<MT1,MT2> >
807  : public And< IsSymmetric<MT1>, IsSymmetric<MT2> >
808 {};
810 //*************************************************************************************************
811 
812 
813 
814 
815 //=================================================================================================
816 //
817 // ISHERMITIAN SPECIALIZATIONS
818 //
819 //=================================================================================================
820 
821 //*************************************************************************************************
823 template< typename MT1, typename MT2 >
824 struct IsHermitian< TSMatDMatSubExpr<MT1,MT2> >
825  : public And< IsHermitian<MT1>, IsHermitian<MT2> >
826 {};
828 //*************************************************************************************************
829 
830 
831 
832 
833 //=================================================================================================
834 //
835 // ISLOWER SPECIALIZATIONS
836 //
837 //=================================================================================================
838 
839 //*************************************************************************************************
841 template< typename MT1, typename MT2 >
842 struct IsLower< TSMatDMatSubExpr<MT1,MT2> >
843  : public And< IsLower<MT1>, IsLower<MT2> >
844 {};
846 //*************************************************************************************************
847 
848 
849 
850 
851 //=================================================================================================
852 //
853 // ISUNILOWER SPECIALIZATIONS
854 //
855 //=================================================================================================
856 
857 //*************************************************************************************************
859 template< typename MT1, typename MT2 >
860 struct IsUniLower< TSMatDMatSubExpr<MT1,MT2> >
861  : public And< IsUniLower<MT1>, IsStrictlyLower<MT2> >
862 {};
864 //*************************************************************************************************
865 
866 
867 
868 
869 //=================================================================================================
870 //
871 // ISSTRICTLYLOWER SPECIALIZATIONS
872 //
873 //=================================================================================================
874 
875 //*************************************************************************************************
877 template< typename MT1, typename MT2 >
878 struct IsStrictlyLower< TSMatDMatSubExpr<MT1,MT2> >
879  : public And< IsStrictlyLower<MT1>, IsStrictlyLower<MT2> >
880 {};
882 //*************************************************************************************************
883 
884 
885 
886 
887 //=================================================================================================
888 //
889 // ISUPPER SPECIALIZATIONS
890 //
891 //=================================================================================================
892 
893 //*************************************************************************************************
895 template< typename MT1, typename MT2 >
896 struct IsUpper< TSMatDMatSubExpr<MT1,MT2> >
897  : public And< IsUpper<MT1>, IsUpper<MT2> >
898 {};
900 //*************************************************************************************************
901 
902 
903 
904 
905 //=================================================================================================
906 //
907 // ISUNIUPPER SPECIALIZATIONS
908 //
909 //=================================================================================================
910 
911 //*************************************************************************************************
913 template< typename MT1, typename MT2 >
914 struct IsUniUpper< TSMatDMatSubExpr<MT1,MT2> >
915  : public And< IsUniUpper<MT1>, IsStrictlyUpper<MT2> >
916 {};
918 //*************************************************************************************************
919 
920 
921 
922 
923 //=================================================================================================
924 //
925 // ISSTRICTLYUPPER SPECIALIZATIONS
926 //
927 //=================================================================================================
928 
929 //*************************************************************************************************
931 template< typename MT1, typename MT2 >
932 struct IsStrictlyUpper< TSMatDMatSubExpr<MT1,MT2> >
933  : public And< IsStrictlyUpper<MT1>, IsStrictlyUpper<MT2> >
934 {};
936 //*************************************************************************************************
937 
938 } // namespace blaze
939 
940 #endif
OppositeType_< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: TSMatDMatSubExpr.h:139
Constraint on the data type.
#define BLAZE_THROW_INVALID_ARGUMENT(MESSAGE)
Macro for the emission of a std::invalid_argument exception.This macro encapsulates the default way o...
Definition: Exception.h:235
ElementType_< ResultType > ElementType
Resulting element type.
Definition: TSMatDMatSubExpr.h:141
Header file for auxiliary alias declarations.
Compile time check whether the given type is a temporary vector or matrix type.This type trait class ...
Definition: IsTemporary.h: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.
SubTrait_< RT1, RT2 > ResultType
Result type for expression template evaluations.
Definition: TSMatDMatSubExpr.h:138
If_< IsExpression< MT1 >, const MT1, const MT1 &> LeftOperand
Composite type of the left-hand side dense matrix expression.
Definition: TSMatDMatSubExpr.h:150
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
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: TSMatDMatSubExpr.h:227
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
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
Header file for the Computation base class.
LeftOperand leftOperand() const noexcept
Returns the left-hand side transpose sparse matrix operand.
Definition: TSMatDMatSubExpr.h:237
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
typename SubExprTrait< T1, T2 >::Type SubExprTrait_
Auxiliary alias declaration for the SubExprTrait class template.The SubExprTrait_ alias declaration p...
Definition: SubExprTrait.h:112
Constraint on the data type.
Constraint on the data type.
ReturnType_< MT2 > RN2
Return type of the right-hand side dense matrix expression.
Definition: TSMatDMatSubExpr.h:105
Header file for the Maximum class template.
Compile time check for upper unitriangular matrices.This type trait tests whether or not the given te...
Definition: IsUniUpper.h:86
Header file for the IsTemporary type trait class.
Header file for the IsStrictlyUpper type trait.
Header file for the IsSymmetric type trait.
Namespace of the Blaze C++ math library.
Definition: Blaze.h: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
If_< IsExpression< MT2 >, const MT2, const MT2 &> RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: TSMatDMatSubExpr.h:153
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.
Header file for the IsLower type trait.
Constraints on the storage order of matrix types.
Compile time check for symmetric matrices.This type trait tests whether or not the given template par...
Definition: IsSymmetric.h:85
Header file for the exception macros of the math module.
Compile time check for strictly upper triangular matrices.This type trait tests whether or not the gi...
Definition: IsStrictlyUpper.h:86
Constraint on the data type.
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: TSMatDMatSubExpr.h:186
Header file for all forward declarations for expression class templates.
const IfTrue_< returnExpr, ExprReturnType, ElementType > ReturnType
Return type for expression template evaluations.
Definition: TSMatDMatSubExpr.h:144
Header file for the EnableIf class template.
Header file for the IsStrictlyLower type trait.
RightOperand rhs_
Right-hand side dense matrix of the subtraction expression.
Definition: TSMatDMatSubExpr.h:280
Compile time check for lower unitriangular matrices.This type trait tests whether or not the given te...
Definition: IsUniLower.h:86
LeftOperand lhs_
Left-hand side sparse matrix of the subtraction expression.
Definition: TSMatDMatSubExpr.h:279
#define BLAZE_CONSTRAINT_MUST_BE_ROW_MAJOR_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is not a row-major dense or sparse matrix t...
Definition: RowMajorMatrix.h:61
const ResultType CompositeType
Data type for composite expression templates.
Definition: TSMatDMatSubExpr.h:147
Header file for run time assertion macros.
typename If< T1, T2, T3 >::Type If_
Auxiliary alias declaration for the If class template.The If_ alias declaration provides a convenient...
Definition: If.h:154
Expression object for transpose sparse matrix-dense matrix subtractions.The TSMatDMatSubExpr class re...
Definition: Forward.h:162
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: TSMatDMatSubExpr.h:272
#define BLAZE_FUNCTION_TRACE
Function trace macro.This macro can be used to reliably trace function calls. In case function tracin...
Definition: FunctionTrace.h:94
RightOperand rightOperand() const noexcept
Returns the right-hand side dense matrix operand.
Definition: TSMatDMatSubExpr.h:247
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
#define BLAZE_CONSTRAINT_MUST_NOT_REQUIRE_EVALUATION(T)
Constraint on the data type.In case the given data type T requires an intermediate evaluation within ...
Definition: RequiresEvaluation.h:81
ReturnType_< MT1 > RN1
Return type of the left-hand side sparse matrix expression.
Definition: TSMatDMatSubExpr.h:104
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: TSMatDMatSubExpr.h:201
typename EnableIf< Condition, T >::Type EnableIf_
Auxiliary alias declaration for the EnableIf class template.The EnableIf_ alias declaration provides ...
Definition: EnableIf.h:224
SubExprTrait_< RN1, RN2 > ExprReturnType
Expression return type for the subscript operator.
Definition: TSMatDMatSubExpr.h:118
typename T::OppositeType OppositeType_
Alias declaration for nested OppositeType type definitions.The OppositeType_ alias declaration provid...
Definition: Aliases.h:263
#define BLAZE_CONSTRAINT_MATRICES_MUST_HAVE_SAME_STORAGE_ORDER(T1, T2)
Constraint on the data type.In case either of the two given data types T1 or T2 is not a matrix type ...
Definition: StorageOrder.h:84
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: TSMatDMatSubExpr.h:259
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
ResultType_< MT1 > RT1
Result type of the left-hand side sparse matrix expression.
Definition: TSMatDMatSubExpr.h:102
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
#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.
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: TSMatDMatSubExpr.h:217
ResultType_< MT2 > RT2
Result type of the right-hand side dense matrix expression.
Definition: TSMatDMatSubExpr.h:103
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: TSMatDMatSubExpr.h:140
Header file for the IsHermitian type trait.
Header file for the SubExprTrait class template.
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
TSMatDMatSubExpr(const MT1 &lhs, const MT2 &rhs) noexcept
Constructor for the TSMatDMatSubExpr class.
Definition: TSMatDMatSubExpr.h:170
Header file for the IsExpression type trait class.
Header file for the function trace functionality.