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SMatTSMatSubExpr.h
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1 //=================================================================================================
33 //=================================================================================================
34 
35 #ifndef _BLAZE_MATH_EXPRESSIONS_SMATTSMATSUBEXPR_H_
36 #define _BLAZE_MATH_EXPRESSIONS_SMATTSMATSUBEXPR_H_
37 
38 
39 //*************************************************************************************************
40 // Includes
41 //*************************************************************************************************
42 
43 #include <stdexcept>
69 #include <blaze/util/Assert.h>
70 #include <blaze/util/DisableIf.h>
71 #include <blaze/util/EnableIf.h>
73 #include <blaze/util/mpl/Max.h>
74 #include <blaze/util/SelectType.h>
75 #include <blaze/util/Types.h>
78 
79 
80 namespace blaze {
81 
82 //=================================================================================================
83 //
84 // CLASS SMATTSMATSUBEXPR
85 //
86 //=================================================================================================
87 
88 //*************************************************************************************************
95 template< typename MT1 // Type of the left-hand side sparse matrix
96  , typename MT2 > // Type of the right-hand side sparse matrix
97 class SMatTSMatSubExpr : public SparseMatrix< SMatTSMatSubExpr<MT1,MT2>, false >
98  , private MatMatSubExpr
99  , private Computation
100 {
101  private:
102  //**Type definitions****************************************************************************
103  typedef typename MT1::ResultType RT1;
104  typedef typename MT2::ResultType RT2;
105  typedef typename MT1::ReturnType RN1;
106  typedef typename MT2::ReturnType RN2;
107  typedef typename MT1::CompositeType CT1;
108  typedef typename MT2::CompositeType CT2;
109  //**********************************************************************************************
110 
111  //**Return type evaluation**********************************************************************
113 
118  enum { returnExpr = !IsTemporary<RN1>::value && !IsTemporary<RN2>::value };
119 
122  //**********************************************************************************************
123 
124  //**Serial evaluation strategy******************************************************************
126 
132  template< typename T1, typename T2 >
133  struct UseSymmetricKernel {
135  enum { value = IsSymmetric<T2>::value };
136  };
138  //**********************************************************************************************
139 
140  //**Parallel evaluation strategy****************************************************************
142 
147  template< typename MT >
148  struct UseSMPAssign {
149  enum { value = MT::smpAssignable };
150  };
152  //**********************************************************************************************
153 
154  public:
155  //**Type definitions****************************************************************************
161 
164 
166  typedef const ResultType CompositeType;
167 
169  typedef typename SelectType< IsExpression<MT1>::value, const MT1, const MT1& >::Type LeftOperand;
170 
172  typedef typename SelectType< IsExpression<MT2>::value, const MT2, const MT2& >::Type RightOperand;
173  //**********************************************************************************************
174 
175  //**Compilation flags***************************************************************************
177  enum { smpAssignable = 0 };
178  //**********************************************************************************************
179 
180  //**Constructor*********************************************************************************
186  explicit inline SMatTSMatSubExpr( const MT1& lhs, const MT2& rhs )
187  : lhs_( lhs ) // Left-hand side sparse matrix of the subtraction expression
188  , rhs_( rhs ) // Right-hand side sparse matrix of the subtraction expression
189  {
190  BLAZE_INTERNAL_ASSERT( lhs.rows() == rhs.rows() , "Invalid number of rows" );
191  BLAZE_INTERNAL_ASSERT( lhs.columns() == rhs.columns(), "Invalid number of columns" );
192  }
193  //**********************************************************************************************
194 
195  //**Access operator*****************************************************************************
202  inline ReturnType operator()( size_t i, size_t j ) const {
203  BLAZE_INTERNAL_ASSERT( i < lhs_.rows() , "Invalid row access index" );
204  BLAZE_INTERNAL_ASSERT( j < lhs_.columns(), "Invalid column access index" );
205  return lhs_(i,j) - rhs_(i,j);
206  }
207  //**********************************************************************************************
208 
209  //**Rows function*******************************************************************************
214  inline size_t rows() const {
215  return lhs_.rows();
216  }
217  //**********************************************************************************************
218 
219  //**Columns function****************************************************************************
224  inline size_t columns() const {
225  return lhs_.columns();
226  }
227  //**********************************************************************************************
228 
229  //**NonZeros function***************************************************************************
234  inline size_t nonZeros() const {
235  return lhs_.nonZeros() + rhs_.nonZeros();
236  }
237  //**********************************************************************************************
238 
239  //**NonZeros function***************************************************************************
245  inline size_t nonZeros( size_t i ) const {
246  return lhs_.nonZeros(i) + rhs_.nonZeros(i);
247  }
248  //**********************************************************************************************
249 
250  //**Left operand access*************************************************************************
255  inline LeftOperand leftOperand() const {
256  return lhs_;
257  }
258  //**********************************************************************************************
259 
260  //**Right operand access************************************************************************
265  inline RightOperand rightOperand() const {
266  return rhs_;
267  }
268  //**********************************************************************************************
269 
270  //**********************************************************************************************
276  template< typename T >
277  inline bool canAlias( const T* alias ) const {
278  return ( lhs_.canAlias( alias ) || rhs_.canAlias( alias ) );
279  }
280  //**********************************************************************************************
281 
282  //**********************************************************************************************
288  template< typename T >
289  inline bool isAliased( const T* alias ) const {
290  return ( lhs_.isAliased( alias ) || rhs_.isAliased( alias ) );
291  }
292  //**********************************************************************************************
293 
294  private:
295  //**Member variables****************************************************************************
298  //**********************************************************************************************
299 
300  //**Assignment to dense matrices****************************************************************
312  template< typename MT // Type of the target dense matrix
313  , bool SO > // Storage order of the target dense matrix
314  friend inline void assign( DenseMatrix<MT,SO>& lhs, const SMatTSMatSubExpr& rhs )
315  {
317 
318  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
319  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
320 
321  typedef typename RemoveReference<CT2>::Type::ConstIterator RightIterator;
322 
323  assign( ~lhs, rhs.lhs_ );
324 
326  subAssign( ~lhs, rhs.rhs_ );
327  }
328  else
329  {
330  CT2 B( serial( rhs.rhs_ ) ); // Evaluation of the right-hand side sparse matrix operand
331 
332  BLAZE_INTERNAL_ASSERT( B.rows() == rhs.rhs_.rows() , "Invalid number of rows" );
333  BLAZE_INTERNAL_ASSERT( B.columns() == rhs.rhs_.columns(), "Invalid number of columns" );
334  BLAZE_INTERNAL_ASSERT( B.rows() == (~lhs).rows() , "Invalid number of rows" );
335  BLAZE_INTERNAL_ASSERT( B.columns() == (~lhs).columns() , "Invalid number of columns" );
336 
337  for( size_t j=0UL; j<(~lhs).columns(); ++j ) {
338  const RightIterator end( B.end(j) );
339  for( RightIterator element=B.begin(j); element!=end; ++element ) {
340  if( isDefault( (~lhs)(element->index(),j) ) )
341  (~lhs)(element->index(),j) = -element->value();
342  else
343  (~lhs)(element->index(),j) -= element->value();
344  }
345  }
346  }
347  }
349  //**********************************************************************************************
350 
351  //**Assignment to row-major sparse matrices*****************************************************
364  template< typename MT > // Type of the target sparse matrix
365  friend inline typename DisableIf< UseSymmetricKernel<MT,MT2> >::Type
367  {
369 
370  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
371  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
372 
373  typedef typename RemoveReference<CT1>::Type::ConstIterator LeftIterator;
374  typedef typename RT2::OppositeType::ConstIterator RightIterator;
375 
376  // Evaluation of the left-hand side sparse matrix operand
377  CT1 A( serial( rhs.lhs_ ) );
378 
379  // Evaluation of the right-hand side sparse matrix operand
380  const typename RT2::OppositeType B( serial( rhs.rhs_ ) );
381 
382  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.lhs_.rows() , "Invalid number of rows" );
383  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.lhs_.columns(), "Invalid number of columns" );
384  BLAZE_INTERNAL_ASSERT( B.rows() == rhs.rhs_.rows() , "Invalid number of rows" );
385  BLAZE_INTERNAL_ASSERT( B.columns() == rhs.rhs_.columns(), "Invalid number of columns" );
386  BLAZE_INTERNAL_ASSERT( A.rows() == (~lhs).rows() , "Invalid number of rows" );
387  BLAZE_INTERNAL_ASSERT( A.columns() == (~lhs).columns() , "Invalid number of columns" );
388 
389  // Final memory allocation (based on the evaluated operands)
390  (~lhs).reserve( A.nonZeros() + B.nonZeros() );
391 
392  // Performing the matrix subtraction
393  for( size_t i=0UL; i<(~lhs).rows(); ++i )
394  {
395  const LeftIterator lend( A.end(i) );
396  const RightIterator rend( B.end(i) );
397 
398  LeftIterator l( A.begin(i) );
399  RightIterator r( B.begin(i) );
400 
401  while( l != lend && r != rend )
402  {
403  if( l->index() < r->index() ) {
404  (~lhs).append( i, l->index(), l->value() );
405  ++l;
406  }
407  else if( l->index() > r->index() ) {
408  (~lhs).append( i, r->index(), -r->value() );
409  ++r;
410  }
411  else {
412  (~lhs).append( i, l->index(), l->value()-r->value() );
413  ++l;
414  ++r;
415  }
416  }
417 
418  while( l != lend ) {
419  (~lhs).append( i, l->index(), l->value() );
420  ++l;
421  }
422 
423  while( r != rend ) {
424  (~lhs).append( i, r->index(), -r->value() );
425  ++r;
426  }
427 
428  (~lhs).finalize( i );
429  }
430  }
432  //**********************************************************************************************
433 
434  //**Assignment to row-major sparse matrices*****************************************************
447  template< typename MT > // Type of the target sparse matrix
448  friend inline typename EnableIf< UseSymmetricKernel<MT,MT2> >::Type
449  assign( SparseMatrix<MT,false>& lhs, const SMatTSMatSubExpr& rhs )
450  {
452 
453  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
454  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
455 
456  assign( ~lhs, rhs.lhs_ - trans( rhs.rhs_ ) );
457  }
459  //**********************************************************************************************
460 
461  //**Assignment to column-major sparse matrices**************************************************
474  template< typename MT > // Type of the target sparse matrix
475  friend inline typename DisableIf< UseSymmetricKernel<MT,MT1> >::Type
476  assign( SparseMatrix<MT,true>& lhs, const SMatTSMatSubExpr& rhs )
477  {
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  typedef typename RT1::OppositeType::ConstIterator LeftIterator;
486  typedef typename RemoveReference<CT2>::Type::ConstIterator RightIterator;
487 
488  // Evaluation of the left-hand side sparse matrix operand
489  const typename RT1::OppositeType A( serial( rhs.lhs_ ) );
490 
491  // Evaluation of the right-hand side sparse matrix operand
492  CT2 B( serial( rhs.rhs_ ) );
493 
494  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.lhs_.rows() , "Invalid number of rows" );
495  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.lhs_.columns(), "Invalid number of columns" );
496  BLAZE_INTERNAL_ASSERT( B.rows() == rhs.rhs_.rows() , "Invalid number of rows" );
497  BLAZE_INTERNAL_ASSERT( B.columns() == rhs.rhs_.columns(), "Invalid number of columns" );
498  BLAZE_INTERNAL_ASSERT( A.rows() == (~lhs).rows() , "Invalid number of rows" );
499  BLAZE_INTERNAL_ASSERT( A.columns() == (~lhs).columns() , "Invalid number of columns" );
500 
501  // Final memory allocation (based on the evaluated operands)
502  (~lhs).reserve( A.nonZeros() + B.nonZeros() );
503 
504  // Performing the matrix subtraction
505  for( size_t j=0UL; j<(~lhs).columns(); ++j )
506  {
507  const LeftIterator lend( A.end(j) );
508  const RightIterator rend( B.end(j) );
509 
510  LeftIterator l( A.begin(j) );
511  RightIterator r( B.begin(j) );
512 
513  while( l != lend && r != rend )
514  {
515  if( l->index() < r->index() ) {
516  (~lhs).append( l->index(), j, l->value() );
517  ++l;
518  }
519  else if( l->index() > r->index() ) {
520  (~lhs).append( r->index(), j, -r->value() );
521  ++r;
522  }
523  else {
524  (~lhs).append( l->index(), j, l->value()-r->value() );
525  ++l;
526  ++r;
527  }
528  }
529 
530  while( l != lend ) {
531  (~lhs).append( l->index(), j, l->value() );
532  ++l;
533  }
534 
535  while( r != rend ) {
536  (~lhs).append( r->index(), j, -r->value() );
537  ++r;
538  }
539 
540  (~lhs).finalize( j );
541  }
542  }
544  //**********************************************************************************************
545 
546  //**Assignment to column-major sparse matrices**************************************************
559  template< typename MT > // Type of the target sparse matrix
560  friend inline typename EnableIf< UseSymmetricKernel<MT,MT1> >::Type
561  assign( SparseMatrix<MT,true>& lhs, const SMatTSMatSubExpr& rhs )
562  {
564 
566 
567  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
568  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
569 
570  assign( ~lhs, trans( rhs.lhs_ ) - rhs.rhs_ );
571  }
573  //**********************************************************************************************
574 
575  //**Addition assignment to dense matrices*******************************************************
588  template< typename MT // Type of the target dense matrix
589  , bool SO > // Storage order of the target dense matrix
590  friend inline void addAssign( DenseMatrix<MT,SO>& lhs, const SMatTSMatSubExpr& rhs )
591  {
593 
594  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
595  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
596 
597  addAssign( ~lhs, rhs.lhs_ );
598  subAssign( ~lhs, rhs.rhs_ );
599  }
601  //**********************************************************************************************
602 
603  //**Addition assignment to sparse matrices******************************************************
604  // No special implementation for the addition assignment to sparse matrices.
605  //**********************************************************************************************
606 
607  //**Subtraction assignment to dense matrices****************************************************
620  template< typename MT // Type of the target dense matrix
621  , bool SO > // Storage order of the target dense matrix
622  friend inline void subAssign( DenseMatrix<MT,SO>& lhs, const SMatTSMatSubExpr& rhs )
623  {
625 
626  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
627  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
628 
629  subAssign( ~lhs, rhs.lhs_ );
630  addAssign( ~lhs, rhs.rhs_ );
631  }
633  //**********************************************************************************************
634 
635  //**Subtraction assignment to sparse matrices***************************************************
636  // No special implementation for the subtraction assignment to sparse matrices.
637  //**********************************************************************************************
638 
639  //**Multiplication assignment to dense matrices*************************************************
640  // No special implementation for the multiplication assignment to dense matrices.
641  //**********************************************************************************************
642 
643  //**Multiplication assignment to sparse matrices************************************************
644  // No special implementation for the multiplication assignment to sparse matrices.
645  //**********************************************************************************************
646 
647  //**SMP assignment to dense matrices************************************************************
648  // No special implementation for the SMP assignment to dense matrices.
649  //**********************************************************************************************
650 
651  //**Assignment to sparse matrices***************************************************************
652  // No special implementation for the SMP assignment to sparse matrices.
653  //**********************************************************************************************
654 
655  //**SMP addition assignment to dense matrices***************************************************
670  template< typename MT // Type of the target dense matrix
671  , bool SO > // Storage order of the target dense matrix
672  friend inline typename EnableIf< UseSMPAssign<MT> >::Type
673  smpAddAssign( DenseMatrix<MT,SO>& lhs, const SMatTSMatSubExpr& rhs )
674  {
676 
677  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
678  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
679 
680  smpAddAssign( ~lhs, rhs.lhs_ );
681  smpSubAssign( ~lhs, rhs.rhs_ );
682  }
684  //**********************************************************************************************
685 
686  //**SMP addition assignment to sparse matrices**************************************************
687  // No special implementation for the SMP addition assignment to sparse matrices.
688  //**********************************************************************************************
689 
690  //**SMP subtraction assignment to dense matrices************************************************
705  template< typename MT // Type of the target dense matrix
706  , bool SO > // Storage order of the target dense matrix
707  friend inline typename EnableIf< UseSMPAssign<MT> >::Type
708  smpSubAssign( DenseMatrix<MT,SO>& lhs, const SMatTSMatSubExpr& rhs )
709  {
711 
712  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
713  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
714 
715  smpSubAssign( ~lhs, rhs.lhs_ );
716  smpAddAssign( ~lhs, rhs.rhs_ );
717  }
719  //**********************************************************************************************
720 
721  //**SMP subtraction assignment to sparse matrices***********************************************
722  // No special implementation for the SMP subtraction assignment to sparse matrices.
723  //**********************************************************************************************
724 
725  //**SMP multiplication assignment to dense matrices*********************************************
726  // No special implementation for the SMP multiplication assignment to dense matrices.
727  //**********************************************************************************************
728 
729  //**SMP multiplication assignment to sparse matrices********************************************
730  // No special implementation for the SMP multiplication assignment to sparse matrices.
731  //**********************************************************************************************
732 
733  //**Compile time checks*************************************************************************
741  //**********************************************************************************************
742 };
743 //*************************************************************************************************
744 
745 
746 
747 
748 //=================================================================================================
749 //
750 // GLOBAL BINARY ARITHMETIC OPERATORS
751 //
752 //=================================================================================================
753 
754 //*************************************************************************************************
783 template< typename T1 // Type of the left-hand side sparse matrix
784  , typename T2 > // Type of the right-hand side sparse matrix
785 inline const SMatTSMatSubExpr<T1,T2>
787 {
789 
790  if( (~lhs).rows() != (~rhs).rows() || (~lhs).columns() != (~rhs).columns() )
791  throw std::invalid_argument( "Matrix sizes do not match" );
792 
793  return SMatTSMatSubExpr<T1,T2>( ~lhs, ~rhs );
794 }
795 //*************************************************************************************************
796 
797 
798 
799 
800 //=================================================================================================
801 //
802 // ROWS SPECIALIZATIONS
803 //
804 //=================================================================================================
805 
806 //*************************************************************************************************
808 template< typename MT1, typename MT2 >
809 struct Rows< SMatTSMatSubExpr<MT1,MT2> >
810  : public Max< Rows<MT1>, Rows<MT2> >::Type
811 {};
813 //*************************************************************************************************
814 
815 
816 
817 
818 //=================================================================================================
819 //
820 // COLUMNS SPECIALIZATIONS
821 //
822 //=================================================================================================
823 
824 //*************************************************************************************************
826 template< typename MT1, typename MT2 >
827 struct Columns< SMatTSMatSubExpr<MT1,MT2> >
828  : public Max< Columns<MT1>, Columns<MT2> >::Type
829 {};
831 //*************************************************************************************************
832 
833 
834 
835 
836 //=================================================================================================
837 //
838 // ISSYMMETRIC SPECIALIZATIONS
839 //
840 //=================================================================================================
841 
842 //*************************************************************************************************
844 template< typename MT1, typename MT2 >
845 struct IsSymmetric< SMatTSMatSubExpr<MT1,MT2> >
846  : public IsTrue< IsSymmetric<MT1>::value && IsSymmetric<MT2>::value >
847 {};
849 //*************************************************************************************************
850 
851 
852 
853 
854 //=================================================================================================
855 //
856 // ISLOWER SPECIALIZATIONS
857 //
858 //=================================================================================================
859 
860 //*************************************************************************************************
862 template< typename MT1, typename MT2 >
863 struct IsLower< SMatTSMatSubExpr<MT1,MT2> >
864  : public IsTrue< IsLower<MT1>::value && IsLower<MT2>::value >
865 {};
867 //*************************************************************************************************
868 
869 
870 
871 
872 //=================================================================================================
873 //
874 // ISUPPER SPECIALIZATIONS
875 //
876 //=================================================================================================
877 
878 //*************************************************************************************************
880 template< typename MT1, typename MT2 >
881 struct IsUpper< SMatTSMatSubExpr<MT1,MT2> >
882  : public IsTrue< IsUpper<MT1>::value && IsUpper<MT2>::value >
883 {};
885 //*************************************************************************************************
886 
887 
888 
889 
890 //=================================================================================================
891 //
892 // EXPRESSION TRAIT SPECIALIZATIONS
893 //
894 //=================================================================================================
895 
896 //*************************************************************************************************
898 template< typename MT1, typename MT2, bool AF >
899 struct SubmatrixExprTrait< SMatTSMatSubExpr<MT1,MT2>, AF >
900 {
901  public:
902  //**********************************************************************************************
903  typedef typename SubExprTrait< typename SubmatrixExprTrait<const MT1,AF>::Type
904  , typename SubmatrixExprTrait<const MT2,AF>::Type >::Type Type;
905  //**********************************************************************************************
906 };
908 //*************************************************************************************************
909 
910 
911 //*************************************************************************************************
913 template< typename MT1, typename MT2 >
914 struct RowExprTrait< SMatTSMatSubExpr<MT1,MT2> >
915 {
916  public:
917  //**********************************************************************************************
918  typedef typename SubExprTrait< typename RowExprTrait<const MT1>::Type
919  , typename RowExprTrait<const MT2>::Type >::Type Type;
920  //**********************************************************************************************
921 };
923 //*************************************************************************************************
924 
925 
926 //*************************************************************************************************
928 template< typename MT1, typename MT2 >
929 struct ColumnExprTrait< SMatTSMatSubExpr<MT1,MT2> >
930 {
931  public:
932  //**********************************************************************************************
933  typedef typename SubExprTrait< typename ColumnExprTrait<const MT1>::Type
934  , typename ColumnExprTrait<const MT2>::Type >::Type Type;
935  //**********************************************************************************************
936 };
938 //*************************************************************************************************
939 
940 } // namespace blaze
941 
942 #endif
Constraint on the data type.
Header file for the Max class template.
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: SMatTSMatSubExpr.h:202
Compile time check whether the given type is a temporary vector or matrix type.This type trait class ...
Definition: IsTemporary.h:87
Header file for the Rows type trait.
Header file for the subtraction trait.
ResultType::OppositeType OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: SMatTSMatSubExpr.h:158
BLAZE_ALWAYS_INLINE MT::Iterator end(Matrix< MT, SO > &matrix, size_t i)
Returns an iterator just past the last element of row/column i.
Definition: Matrix.h:258
Efficient implementation of a compressed matrix.The CompressedMatrix class template is the represent...
Definition: CompressedMatrix.h:205
Header file for the ColumnExprTrait class template.
size_t columns() const
Returns the current number of columns of the matrix.
Definition: SMatTSMatSubExpr.h:224
const This & CompositeType
Data type for composite expression templates.
Definition: CompressedMatrix.h:2478
Type ElementType
Type of the sparse matrix elements.
Definition: CompressedMatrix.h:257
BLAZE_ALWAYS_INLINE size_t rows(const Matrix< MT, SO > &matrix)
Returns the current number of rows of the matrix.
Definition: Matrix.h:316
LeftOperand lhs_
Left-hand side sparse matrix of the subtraction expression.
Definition: SMatTSMatSubExpr.h:296
const DMatSerialExpr< MT, SO > serial(const DenseMatrix< MT, SO > &dm)
Forces the serial evaluation of the given dense matrix expression dm.
Definition: DMatSerialExpr.h:695
Header file for the Computation base class.
Header file for the RequiresEvaluation type trait.
MT1::CompositeType CT1
Composite type of the left-hand side sparse matrix expression.
Definition: SMatTSMatSubExpr.h:107
SubTrait< RT1, RT2 >::Type ResultType
Result type for expression template evaluations.
Definition: SMatTSMatSubExpr.h:157
CompressedMatrix< Type, false > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: CompressedMatrix.h:2474
Base class for dense matrices.The DenseMatrix class is a base class for all dense matrix classes...
Definition: DenseMatrix.h:70
Base class for sparse matrices.The SparseMatrix class is a base class for all sparse matrix classes...
Definition: Forward.h:107
SMatTSMatSubExpr(const MT1 &lhs, const MT2 &rhs)
Constructor for the SMatTSMatSubExpr class.
Definition: SMatTSMatSubExpr.h:186
Header file for the SparseMatrix base class.
RightOperand rightOperand() const
Returns the right-hand side transpose sparse matrix operand.
Definition: SMatTSMatSubExpr.h:265
Constraint on the data type.
Compile time type selection.The SelectType class template selects one of the two given types T1 and T...
Definition: SelectType.h:59
Header file for the DisableIf class template.
Header file for the IsTemporary type trait class.
Header file for the IsSymmetric type trait.
size_t nonZeros(size_t i) const
Returns the number of non-zero elements in the specified row.
Definition: SMatTSMatSubExpr.h:245
#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: StorageOrder.h:161
const Element * ConstIterator
Iterator over constant elements.
Definition: CompressedMatrix.h:2482
Expression object for sparse matrix-transpose sparse matrix subtractions.The SMatTSMatSubExpr class r...
Definition: Forward.h:106
BLAZE_ALWAYS_INLINE void assign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the assignment of a matrix to a matrix.
Definition: Matrix.h:635
Header file for the Columns type trait.
ResultType::ElementType ElementType
Resulting element type.
Definition: SMatTSMatSubExpr.h:160
Header file for the MatMatSubExpr base class.
bool isAliased(const T *alias) const
Returns whether the expression is aliased with the given address alias.
Definition: SMatTSMatSubExpr.h:289
MT2::ResultType RT2
Result type of the right-hand side sparse matrix expression.
Definition: SMatTSMatSubExpr.h:104
Header file for the IsLower type trait.
MT1::ResultType RT1
Result type of the left-hand side sparse matrix expression.
Definition: SMatTSMatSubExpr.h:103
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
SelectType< IsExpression< MT2 >::value, const MT2, const MT2 & >::Type RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: SMatTSMatSubExpr.h:172
Evaluation of the return type of a subtraction expression.Via this type trait it is possible to evalu...
Definition: SubExprTrait.h:104
LeftOperand leftOperand() const
Returns the left-hand side sparse matrix operand.
Definition: SMatTSMatSubExpr.h:255
const ResultType CompositeType
Data type for composite expression templates.
Definition: SMatTSMatSubExpr.h:166
Header file for the SelectType class template.
Header file for the RowExprTrait class template.
Header file for all forward declarations for expression class templates.
Header file for the EnableIf class template.
ResultType::TransposeType TransposeType
Transpose type for expression template evaluations.
Definition: SMatTSMatSubExpr.h:159
Header file for the serial shim.
#define BLAZE_CONSTRAINT_MATRICES_MUST_HAVE_DIFFERENT_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:325
MT2::CompositeType CT2
Composite type of the right-hand side sparse matrix expression.
Definition: SMatTSMatSubExpr.h:108
Compile time check for resizable data types.This type trait tests whether the given data type is a re...
Definition: IsResizable.h:75
EnableIf< IsDenseMatrix< MT1 > >::Type 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:160
#define BLAZE_CONSTRAINT_MUST_NOT_BE_SYMMETRIC_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is a symmetric matrix type, a compilation error is created.
Definition: Symmetric.h:116
Header file for the SubmatrixExprTrait class template.
#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: StorageOrder.h:81
const Type & ReturnType
Return type for expression template evaluations.
Definition: CompressedMatrix.h:2477
Removal of reference modifiers.The RemoveCV type trait removes any reference modifiers from the given...
Definition: RemoveReference.h:69
Header file for run time assertion macros.
BLAZE_ALWAYS_INLINE void addAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the addition assignment of a matrix to a matrix.
Definition: Matrix.h:742
bool canAlias(const T *alias) const
Returns whether the expression can alias with the given address alias.
Definition: SMatTSMatSubExpr.h:277
size_t rows() const
Returns the current number of rows of the matrix.
Definition: SMatTSMatSubExpr.h:214
const DenseIterator< Type > operator-(const DenseIterator< Type > &it, ptrdiff_t inc)
Subtraction between a DenseIterator and an integral value.
Definition: DenseIterator.h:585
const SelectType< returnExpr, ExprReturnType, ElementType >::Type ReturnType
Return type for expression template evaluations.
Definition: SMatTSMatSubExpr.h:163
Header file for the isDefault shim.
BLAZE_ALWAYS_INLINE bool isDefault(const NonNumericProxy< MT > &proxy)
Returns whether the represented element is in default state.
Definition: NonNumericProxy.h:874
Constraint on the data type.
Header file for the RemoveReference type trait.
Substitution Failure Is Not An Error (SFINAE) class.The DisableIf class template is an auxiliary tool...
Definition: DisableIf.h:184
MT2::ReturnType RN2
Return type of the right-hand side sparse matrix expression.
Definition: SMatTSMatSubExpr.h:106
SelectType< IsExpression< MT1 >::value, const MT1, const MT1 & >::Type LeftOperand
Composite type of the left-hand side sparse matrix expression.
Definition: SMatTSMatSubExpr.h:169
MT1::ReturnType RN1
Return type of the left-hand side sparse matrix expression.
Definition: SMatTSMatSubExpr.h:105
const DMatTransExpr< MT,!SO > trans(const DenseMatrix< MT, SO > &dm)
Calculation of the transpose of the given dense matrix.
Definition: DMatTransExpr.h:932
Header file for the IsComputation type trait class.
EnableIf< IsDenseMatrix< MT1 > >::Type 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:129
#define BLAZE_FUNCTION_TRACE
Function trace macro.This macro can be used to reliably trace function calls. In case function tracin...
Definition: FunctionTrace.h:157
This ResultType
Result type for expression template evaluations.
Definition: CompressedMatrix.h:2473
Header file for the IsTrue value trait.
RightOperand rhs_
Right-hand side sparse matrix of the subtraction expression.
Definition: SMatTSMatSubExpr.h:297
BLAZE_ALWAYS_INLINE size_t columns(const Matrix< MT, SO > &matrix)
Returns the current number of columns of the matrix.
Definition: Matrix.h:332
Header file for basic type definitions.
#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:165
SubExprTrait< RN1, RN2 >::Type ExprReturnType
Expression return type for the subscript operator.
Definition: SMatTSMatSubExpr.h:121
Base template for the SubTrait class.
Definition: SubTrait.h:142
Header file for the IsUpper type trait.
SMatTSMatSubExpr< MT1, MT2 > This
Type of this SMatTSMatSubExpr instance.
Definition: SMatTSMatSubExpr.h:156
Header file for the IsResizable type trait.
Header file for the SubExprTrait class template.
size_t nonZeros() const
Returns the number of non-zero elements in the sparse matrix.
Definition: SMatTSMatSubExpr.h:234
#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:79
Header file for the IsExpression type trait class.
Header file for the FunctionTrace class.
BLAZE_ALWAYS_INLINE void subAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the subtraction assignment of a matrix to matrix.
Definition: Matrix.h:849