SMatTSMatAddExpr.h
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1 //=================================================================================================
33 //=================================================================================================
34 
35 #ifndef _BLAZE_MATH_EXPRESSIONS_SMATTSMATADDEXPR_H_
36 #define _BLAZE_MATH_EXPRESSIONS_SMATTSMATADDEXPR_H_
37 
38 
39 //*************************************************************************************************
40 // Includes
41 //*************************************************************************************************
42 
43 #include <blaze/math/Aliases.h>
51 #include <blaze/math/Exception.h>
73 #include <blaze/util/Assert.h>
74 #include <blaze/util/DisableIf.h>
75 #include <blaze/util/EnableIf.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>
83 
84 
85 namespace blaze {
86 
87 //=================================================================================================
88 //
89 // CLASS SMATTSMATADDEXPR
90 //
91 //=================================================================================================
92 
93 //*************************************************************************************************
100 template< typename MT1 // Type of the left-hand side sparse matrix
101  , typename MT2 > // Type of the right-hand side sparse matrix
102 class SMatTSMatAddExpr
103  : public MatMatAddExpr< SparseMatrix< SMatTSMatAddExpr<MT1,MT2>, false > >
104  , private Computation
105 {
106  private:
107  //**Type definitions****************************************************************************
114  //**********************************************************************************************
115 
116  //**Return type evaluation**********************************************************************
118 
123  enum : bool { returnExpr = !IsTemporary<RN1>::value && !IsTemporary<RN2>::value };
124 
127  //**********************************************************************************************
128 
129  //**Serial evaluation strategy******************************************************************
131 
137  template< typename T1, typename T2 >
138  struct UseSymmetricKernel {
140  enum : bool { value = IsSymmetric<T2>::value };
141  };
143  //**********************************************************************************************
144 
145  //**Parallel evaluation strategy****************************************************************
147 
152  template< typename MT >
153  struct UseSMPAssign {
154  enum : bool { value = MT::smpAssignable };
155  };
157  //**********************************************************************************************
158 
159  public:
160  //**Type definitions****************************************************************************
166 
169 
171  using CompositeType = const ResultType;
172 
174  using LeftOperand = If_< IsExpression<MT1>, const MT1, const MT1& >;
175 
177  using RightOperand = If_< IsExpression<MT2>, const MT2, const MT2& >;
178  //**********************************************************************************************
179 
180  //**Compilation flags***************************************************************************
182  enum : bool { smpAssignable = false };
183  //**********************************************************************************************
184 
185  //**Constructor*********************************************************************************
191  explicit inline SMatTSMatAddExpr( const MT1& lhs, const MT2& rhs ) noexcept
192  : lhs_( lhs ) // Left-hand side sparse matrix of the addition expression
193  , rhs_( rhs ) // Right-hand side sparse matrix of the addition expression
194  {
195  BLAZE_INTERNAL_ASSERT( lhs.rows() == rhs.rows() , "Invalid number of rows" );
196  BLAZE_INTERNAL_ASSERT( lhs.columns() == rhs.columns(), "Invalid number of columns" );
197  }
198  //**********************************************************************************************
199 
200  //**Access operator*****************************************************************************
207  inline ReturnType operator()( size_t i, size_t j ) const {
208  BLAZE_INTERNAL_ASSERT( i < lhs_.rows() , "Invalid row access index" );
209  BLAZE_INTERNAL_ASSERT( j < lhs_.columns(), "Invalid column access index" );
210  return lhs_(i,j) + rhs_(i,j);
211  }
212  //**********************************************************************************************
213 
214  //**At function*********************************************************************************
222  inline ReturnType at( size_t i, size_t j ) const {
223  if( i >= lhs_.rows() ) {
224  BLAZE_THROW_OUT_OF_RANGE( "Invalid row access index" );
225  }
226  if( j >= lhs_.columns() ) {
227  BLAZE_THROW_OUT_OF_RANGE( "Invalid column access index" );
228  }
229  return (*this)(i,j);
230  }
231  //**********************************************************************************************
232 
233  //**Rows function*******************************************************************************
238  inline size_t rows() const noexcept {
239  return lhs_.rows();
240  }
241  //**********************************************************************************************
242 
243  //**Columns function****************************************************************************
248  inline size_t columns() const noexcept {
249  return lhs_.columns();
250  }
251  //**********************************************************************************************
252 
253  //**NonZeros function***************************************************************************
258  inline size_t nonZeros() const {
259  return lhs_.nonZeros() + rhs_.nonZeros();
260  }
261  //**********************************************************************************************
262 
263  //**NonZeros function***************************************************************************
269  inline size_t nonZeros( size_t i ) const {
270  return lhs_.nonZeros(i) + rhs_.nonZeros(i);
271  }
272  //**********************************************************************************************
273 
274  //**Left operand access*************************************************************************
279  inline LeftOperand leftOperand() const noexcept {
280  return lhs_;
281  }
282  //**********************************************************************************************
283 
284  //**Right operand access************************************************************************
289  inline RightOperand rightOperand() const noexcept {
290  return rhs_;
291  }
292  //**********************************************************************************************
293 
294  //**********************************************************************************************
300  template< typename T >
301  inline bool canAlias( const T* alias ) const noexcept {
302  return ( lhs_.canAlias( alias ) || rhs_.canAlias( alias ) );
303  }
304  //**********************************************************************************************
305 
306  //**********************************************************************************************
312  template< typename T >
313  inline bool isAliased( const T* alias ) const noexcept {
314  return ( lhs_.isAliased( alias ) || rhs_.isAliased( alias ) );
315  }
316  //**********************************************************************************************
317 
318  private:
319  //**Member variables****************************************************************************
322  //**********************************************************************************************
323 
324  //**Assignment to dense matrices****************************************************************
336  template< typename MT // Type of the target dense matrix
337  , bool SO > // Storage order of the target dense matrix
338  friend inline void assign( DenseMatrix<MT,SO>& lhs, const SMatTSMatAddExpr& rhs )
339  {
341 
342  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
343  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
344 
345  using RightIterator = ConstIterator_< RemoveReference_<CT2> >;
346 
347  assign( ~lhs, rhs.lhs_ );
348 
349  if( !IsResizable< ElementType_<MT> >::value ) {
350  addAssign( ~lhs, rhs.rhs_ );
351  }
352  else
353  {
354  CT2 B( serial( rhs.rhs_ ) ); // Evaluation of the right-hand side sparse matrix operand
355 
356  BLAZE_INTERNAL_ASSERT( B.rows() == rhs.rhs_.rows() , "Invalid number of rows" );
357  BLAZE_INTERNAL_ASSERT( B.columns() == rhs.rhs_.columns(), "Invalid number of columns" );
358  BLAZE_INTERNAL_ASSERT( B.rows() == (~lhs).rows() , "Invalid number of rows" );
359  BLAZE_INTERNAL_ASSERT( B.columns() == (~lhs).columns() , "Invalid number of columns" );
360 
361  for( size_t j=0UL; j<(~lhs).columns(); ++j ) {
362  const RightIterator end( B.end(j) );
363  for( RightIterator element=B.begin(j); element!=end; ++element ) {
364  if( isDefault( (~lhs)(element->index(),j) ) )
365  (~lhs)(element->index(),j) = element->value();
366  else
367  (~lhs)(element->index(),j) += element->value();
368  }
369  }
370  }
371  }
373  //**********************************************************************************************
374 
375  //**Assignment to row-major sparse matrices*****************************************************
388  template< typename MT > // Type of the target sparse matrix
390  assign( SparseMatrix<MT,false>& lhs, const SMatTSMatAddExpr& rhs )
391  {
393 
394  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
395  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
396 
397  using LeftIterator = ConstIterator_< RemoveReference_<CT1> >;
398  using RightIterator = ConstIterator_< OppositeType_<RT2> >;
399 
400  // Evaluation of the left-hand side sparse matrix operand
401  CT1 A( serial( rhs.lhs_ ) );
402 
403  // Evaluation of the right-hand side sparse matrix operand
404  const OppositeType_<RT2> B( serial( rhs.rhs_ ) );
405 
406  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.lhs_.rows() , "Invalid number of rows" );
407  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.lhs_.columns(), "Invalid number of columns" );
408  BLAZE_INTERNAL_ASSERT( B.rows() == rhs.rhs_.rows() , "Invalid number of rows" );
409  BLAZE_INTERNAL_ASSERT( B.columns() == rhs.rhs_.columns(), "Invalid number of columns" );
410  BLAZE_INTERNAL_ASSERT( A.rows() == (~lhs).rows() , "Invalid number of rows" );
411  BLAZE_INTERNAL_ASSERT( A.columns() == (~lhs).columns() , "Invalid number of columns" );
412 
413  // Final memory allocation (based on the evaluated operands)
414  (~lhs).reserve( A.nonZeros() + B.nonZeros() );
415 
416  // Performing the matrix addition
417  for( size_t i=0UL; i<(~lhs).rows(); ++i )
418  {
419  const LeftIterator lend( A.end(i) );
420  const RightIterator rend( B.end(i) );
421 
422  LeftIterator l( A.begin(i) );
423  RightIterator r( B.begin(i) );
424 
425  while( l != lend && r != rend )
426  {
427  if( l->index() < r->index() ) {
428  (~lhs).append( i, l->index(), l->value() );
429  ++l;
430  }
431  else if( l->index() > r->index() ) {
432  (~lhs).append( i, r->index(), r->value() );
433  ++r;
434  }
435  else {
436  (~lhs).append( i, l->index(), l->value() + r->value() );
437  ++l;
438  ++r;
439  }
440  }
441 
442  while( l != lend ) {
443  (~lhs).append( i, l->index(), l->value() );
444  ++l;
445  }
446 
447  while( r != rend ) {
448  (~lhs).append( i, r->index(), r->value() );
449  ++r;
450  }
451 
452  (~lhs).finalize( i );
453  }
454  }
456  //**********************************************************************************************
457 
458  //**Assignment to row-major sparse matrices*****************************************************
471  template< typename MT > // Type of the target sparse matrix
473  assign( SparseMatrix<MT,false>& lhs, const SMatTSMatAddExpr& rhs )
474  {
476 
477  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
478  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
479 
480  assign( ~lhs, rhs.lhs_ + trans( rhs.rhs_ ) );
481  }
483  //**********************************************************************************************
484 
485  //**Assignment to column-major sparse matrices**************************************************
498  template< typename MT > // Type of the target sparse matrix
500  assign( SparseMatrix<MT,true>& lhs, const SMatTSMatAddExpr& rhs )
501  {
503 
505 
506  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
507  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
508 
509  using LeftIterator = ConstIterator_< OppositeType_<RT1> >;
510  using RightIterator = ConstIterator_< RemoveReference_<CT2> >;
511 
512  // Evaluation of the left-hand side sparse matrix operand
513  const OppositeType_<RT1> A( serial( rhs.lhs_ ) );
514 
515  // Evaluation of the right-hand side sparse matrix operand
516  CT2 B( serial( rhs.rhs_ ) );
517 
518  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.lhs_.rows() , "Invalid number of rows" );
519  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.lhs_.columns(), "Invalid number of columns" );
520  BLAZE_INTERNAL_ASSERT( B.rows() == rhs.rhs_.rows() , "Invalid number of rows" );
521  BLAZE_INTERNAL_ASSERT( B.columns() == rhs.rhs_.columns(), "Invalid number of columns" );
522  BLAZE_INTERNAL_ASSERT( A.rows() == (~lhs).rows() , "Invalid number of rows" );
523  BLAZE_INTERNAL_ASSERT( A.columns() == (~lhs).columns() , "Invalid number of columns" );
524 
525  // Final memory allocation (based on the evaluated operands)
526  (~lhs).reserve( A.nonZeros() + B.nonZeros() );
527 
528  // Performing the matrix addition
529  for( size_t j=0UL; j<(~lhs).columns(); ++j )
530  {
531  const LeftIterator lend( A.end(j) );
532  const RightIterator rend( B.end(j) );
533 
534  LeftIterator l( A.begin(j) );
535  RightIterator r( B.begin(j) );
536 
537  while( l != lend && r != rend )
538  {
539  if( l->index() < r->index() ) {
540  (~lhs).append( l->index(), j, l->value() );
541  ++l;
542  }
543  else if( l->index() > r->index() ) {
544  (~lhs).append( r->index(), j, r->value() );
545  ++r;
546  }
547  else {
548  (~lhs).append( l->index(), j, l->value() + r->value() );
549  ++l;
550  ++r;
551  }
552  }
553 
554  while( l != lend ) {
555  (~lhs).append( l->index(), j, l->value() );
556  ++l;
557  }
558 
559  while( r != rend ) {
560  (~lhs).append( r->index(), j, r->value() );
561  ++r;
562  }
563 
564  (~lhs).finalize( j );
565  }
566  }
568  //**********************************************************************************************
569 
570  //**Assignment to column-major sparse matrices**************************************************
583  template< typename MT > // Type of the target sparse matrix
585  assign( SparseMatrix<MT,true>& lhs, const SMatTSMatAddExpr& rhs )
586  {
588 
590 
591  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
592  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
593 
594  assign( ~lhs, trans( rhs.lhs_ ) + rhs.rhs_ );
595  }
597  //**********************************************************************************************
598 
599  //**Addition assignment to dense matrices*******************************************************
612  template< typename MT // Type of the target dense matrix
613  , bool SO > // Storage order of the target dense matrix
614  friend inline void addAssign( DenseMatrix<MT,SO>& lhs, const SMatTSMatAddExpr& rhs )
615  {
617 
618  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
619  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
620 
621  addAssign( ~lhs, rhs.lhs_ );
622  addAssign( ~lhs, rhs.rhs_ );
623  }
625  //**********************************************************************************************
626 
627  //**Addition assignment to sparse matrices******************************************************
628  // No special implementation for the addition assignment to sparse matrices.
629  //**********************************************************************************************
630 
631  //**Subtraction assignment to dense matrices****************************************************
644  template< typename MT // Type of the target dense matrix
645  , bool SO > // Storage order of the target dense matrix
646  friend inline void subAssign( DenseMatrix<MT,SO>& lhs, const SMatTSMatAddExpr& rhs )
647  {
649 
650  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
651  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
652 
653  subAssign( ~lhs, rhs.lhs_ );
654  subAssign( ~lhs, rhs.rhs_ );
655  }
657  //**********************************************************************************************
658 
659  //**Subtraction assignment to sparse matrices***************************************************
660  // No special implementation for the subtraction assignment to sparse matrices.
661  //**********************************************************************************************
662 
663  //**Schur product assignment to dense matrices**************************************************
676  template< typename MT // Type of the target dense matrix
677  , bool SO > // Storage order of the target dense matrix
678  friend inline void schurAssign( DenseMatrix<MT,SO>& lhs, const SMatTSMatAddExpr& rhs )
679  {
681 
685 
686  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
687  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
688 
689  const ResultType tmp( serial( rhs ) );
690  schurAssign( ~lhs, tmp );
691  }
693  //**********************************************************************************************
694 
695  //**Schur product assignment to sparse matrices*************************************************
696  // No special implementation for the Schur product assignment to sparse matrices.
697  //**********************************************************************************************
698 
699  //**Multiplication assignment to dense matrices*************************************************
700  // No special implementation for the multiplication assignment to dense matrices.
701  //**********************************************************************************************
702 
703  //**Multiplication assignment to sparse matrices************************************************
704  // No special implementation for the multiplication assignment to sparse matrices.
705  //**********************************************************************************************
706 
707  //**SMP assignment to dense matrices************************************************************
708  // No special implementation for the SMP assignment to dense matrices.
709  //**********************************************************************************************
710 
711  //**SMP assignment to sparse matrices***********************************************************
712  // No special implementation for the SMP assignment to sparse matrices.
713  //**********************************************************************************************
714 
715  //**SMP addition assignment to dense matrices***************************************************
730  template< typename MT // Type of the target dense matrix
731  , bool SO > // Storage order of the target dense matrix
732  friend inline EnableIf_< UseSMPAssign<MT> >
734  {
736 
737  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
738  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
739 
740  smpAddAssign( ~lhs, rhs.lhs_ );
741  smpAddAssign( ~lhs, rhs.rhs_ );
742  }
744  //**********************************************************************************************
745 
746  //**SMP addition assignment to sparse matrices**************************************************
747  // No special implementation for the SMP addition assignment to sparse matrices.
748  //**********************************************************************************************
749 
750  //**SMP subtraction assignment to dense matrices************************************************
765  template< typename MT // Type of the target dense matrix
766  , bool SO > // Storage order of the target dense matrix
767  friend inline EnableIf_< UseSMPAssign<MT> >
769  {
771 
772  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
773  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
774 
775  smpSubAssign( ~lhs, rhs.lhs_ );
776  smpSubAssign( ~lhs, rhs.rhs_ );
777  }
779  //**********************************************************************************************
780 
781  //**SMP subtraction assignment to sparse matrices***********************************************
782  // No special implementation for the SMP subtraction assignment to sparse matrices.
783  //**********************************************************************************************
784 
785  //**SMP Schur product assignment to dense matrices**********************************************
800  template< typename MT // Type of the target dense matrix
801  , bool SO > // Storage order of the target dense matrix
802  friend inline EnableIf_< UseSMPAssign<MT> >
804  {
806 
810 
811  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
812  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
813 
814  const ResultType tmp( rhs );
815  smpSchurAssign( ~lhs, tmp );
816  }
818  //**********************************************************************************************
819 
820  //**SMP Schur product assignment to sparse matrices*********************************************
821  // No special implementation for the SMP Schur product assignment to sparse matrices.
822  //**********************************************************************************************
823 
824  //**SMP multiplication assignment to dense matrices*********************************************
825  // No special implementation for the SMP multiplication assignment to dense matrices.
826  //**********************************************************************************************
827 
828  //**SMP multiplication assignment to sparse matrices********************************************
829  // No special implementation for the SMP multiplication assignment to sparse matrices.
830  //**********************************************************************************************
831 
832  //**Compile time checks*************************************************************************
840  //**********************************************************************************************
841 };
842 //*************************************************************************************************
843 
844 
845 
846 
847 //=================================================================================================
848 //
849 // GLOBAL BINARY ARITHMETIC OPERATORS
850 //
851 //=================================================================================================
852 
853 //*************************************************************************************************
882 template< typename MT1 // Type of the left-hand side sparse matrix
883  , typename MT2 > // Type of the right-hand side sparse matrix
884 inline decltype(auto)
885  operator+( const SparseMatrix<MT1,false>& lhs, const SparseMatrix<MT2,true>& rhs )
886 {
888 
889  if( (~lhs).rows() != (~rhs).rows() || (~lhs).columns() != (~rhs).columns() ) {
890  BLAZE_THROW_INVALID_ARGUMENT( "Matrix sizes do not match" );
891  }
892 
894  return ReturnType( ~lhs, ~rhs );
895 }
896 //*************************************************************************************************
897 
898 
899 //*************************************************************************************************
928 template< typename MT1 // Type of the left-hand side sparse matrix
929  , typename MT2 > // Type of the right-hand side sparse matrix
930 inline decltype(auto)
931  operator+( const SparseMatrix<MT1,true>& lhs, const SparseMatrix<MT2,false>& rhs )
932 {
934 
935  if( (~lhs).rows() != (~rhs).rows() || (~lhs).columns() != (~rhs).columns() ) {
936  BLAZE_THROW_INVALID_ARGUMENT( "Matrix sizes do not match" );
937  }
938 
940  return ReturnType( ~rhs, ~lhs );
941 }
942 //*************************************************************************************************
943 
944 
945 
946 
947 //=================================================================================================
948 //
949 // SIZE SPECIALIZATIONS
950 //
951 //=================================================================================================
952 
953 //*************************************************************************************************
955 template< typename MT1, typename MT2 >
956 struct Size< SMatTSMatAddExpr<MT1,MT2>, 0UL >
957  : public Maximum< Size<MT1,0UL>, Size<MT2,0UL> >
958 {};
959 
960 template< typename MT1, typename MT2 >
961 struct Size< SMatTSMatAddExpr<MT1,MT2>, 1UL >
962  : public Maximum< Size<MT1,1UL>, Size<MT2,1UL> >
963 {};
965 //*************************************************************************************************
966 
967 
968 
969 
970 //=================================================================================================
971 //
972 // ISSYMMETRIC SPECIALIZATIONS
973 //
974 //=================================================================================================
975 
976 //*************************************************************************************************
978 template< typename MT1, typename MT2 >
979 struct IsSymmetric< SMatTSMatAddExpr<MT1,MT2> >
980  : public And< IsSymmetric<MT1>, IsSymmetric<MT2> >
981 {};
983 //*************************************************************************************************
984 
985 
986 
987 
988 //=================================================================================================
989 //
990 // ISHERMITIAN SPECIALIZATIONS
991 //
992 //=================================================================================================
993 
994 //*************************************************************************************************
996 template< typename MT1, typename MT2 >
997 struct IsHermitian< SMatTSMatAddExpr<MT1,MT2> >
998  : public And< IsHermitian<MT1>, IsHermitian<MT2> >
999 {};
1001 //*************************************************************************************************
1002 
1003 
1004 
1005 
1006 //=================================================================================================
1007 //
1008 // ISLOWER SPECIALIZATIONS
1009 //
1010 //=================================================================================================
1011 
1012 //*************************************************************************************************
1014 template< typename MT1, typename MT2 >
1015 struct IsLower< SMatTSMatAddExpr<MT1,MT2> >
1016  : public And< IsLower<MT1>, IsLower<MT2> >
1017 {};
1019 //*************************************************************************************************
1020 
1021 
1022 
1023 
1024 //=================================================================================================
1025 //
1026 // ISUNILOWER SPECIALIZATIONS
1027 //
1028 //=================================================================================================
1029 
1030 //*************************************************************************************************
1032 template< typename MT1, typename MT2 >
1033 struct IsUniLower< SMatTSMatAddExpr<MT1,MT2> >
1034  : public Or< And< IsUniLower<MT1>, IsStrictlyLower<MT2> >
1035  , And< IsUniLower<MT2>, IsStrictlyLower<MT1> > >
1036 {};
1038 //*************************************************************************************************
1039 
1040 
1041 
1042 
1043 //=================================================================================================
1044 //
1045 // ISSTRICTLYLOWER SPECIALIZATIONS
1046 //
1047 //=================================================================================================
1048 
1049 //*************************************************************************************************
1051 template< typename MT1, typename MT2 >
1052 struct IsStrictlyLower< SMatTSMatAddExpr<MT1,MT2> >
1053  : public And< IsStrictlyLower<MT1>, IsStrictlyLower<MT2> >
1054 {};
1056 //*************************************************************************************************
1057 
1058 
1059 
1060 
1061 //=================================================================================================
1062 //
1063 // ISUPPER SPECIALIZATIONS
1064 //
1065 //=================================================================================================
1066 
1067 //*************************************************************************************************
1069 template< typename MT1, typename MT2 >
1070 struct IsUpper< SMatTSMatAddExpr<MT1,MT2> >
1071  : public And< IsUpper<MT1>, IsUpper<MT2> >
1072 {};
1074 //*************************************************************************************************
1075 
1076 
1077 
1078 
1079 //=================================================================================================
1080 //
1081 // ISUNIUPPER SPECIALIZATIONS
1082 //
1083 //=================================================================================================
1084 
1085 //*************************************************************************************************
1087 template< typename MT1, typename MT2 >
1088 struct IsUniUpper< SMatTSMatAddExpr<MT1,MT2> >
1089  : public Or< And< IsUniUpper<MT1>, IsStrictlyUpper<MT2> >
1090  , And< IsUniUpper<MT2>, IsStrictlyUpper<MT1> > >
1091 {};
1093 //*************************************************************************************************
1094 
1095 
1096 
1097 
1098 //=================================================================================================
1099 //
1100 // ISSTRICTLYUPPER SPECIALIZATIONS
1101 //
1102 //=================================================================================================
1103 
1104 //*************************************************************************************************
1106 template< typename MT1, typename MT2 >
1107 struct IsStrictlyUpper< SMatTSMatAddExpr<MT1,MT2> >
1108  : public And< IsStrictlyUpper<MT1>, IsStrictlyUpper<MT2> >
1109 {};
1111 //*************************************************************************************************
1112 
1113 } // namespace blaze
1114 
1115 #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< MT1 >, const MT1, const MT1 &> LeftOperand
Composite type of the left-hand side sparse matrix expression.
Definition: SMatTSMatAddExpr.h:174
Header file for auxiliary alias declarations.
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: SMatTSMatAddExpr.h:313
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 basic type definitions.
EnableIf_< IsDenseMatrix< MT1 > > smpSubAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the SMP subtraction assignment of a matrix to dense matrix.
Definition: DenseMatrix.h:164
Header file for the serial shim.
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: SMatTSMatAddExpr.h:248
typename DisableIf< Condition, T >::Type DisableIf_
Auxiliary type for the DisableIf class template.The DisableIf_ alias declaration provides a convenien...
Definition: DisableIf.h:224
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
ReturnType_< MT2 > RN2
Evaluation type of the right-hand side sparse matrix expression.
Definition: SMatTSMatAddExpr.h:111
Header file for the AddExprTrait class template.
CompositeType_< MT1 > CT1
Composite type of the left-hand side sparse matrix expression.
Definition: SMatTSMatAddExpr.h:112
Header file for the Computation base class.
Compile time check for upper triangular matrices.This type trait tests whether or not the given templ...
Definition: IsUpper.h:87
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
LeftOperand lhs_
Left-hand side sparse matrix of the addition expression.
Definition: SMatTSMatAddExpr.h:320
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
Header file for the SparseMatrix base class.
Constraint on the data type.
Header file for the Maximum class template.
typename T::CompositeType CompositeType_
Alias declaration for nested CompositeType type definitions.The CompositeType_ alias declaration prov...
Definition: Aliases.h:83
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 DisableIf class template.
Header file for the IsTemporary type trait class.
Header file for the IsStrictlyUpper type trait.
Header file for the IsSymmetric type trait.
typename AddExprTrait< T1, T2 >::Type AddExprTrait_
Auxiliary alias declaration for the AddExprTrait class template.The AddExprTrait_ alias declaration p...
Definition: AddExprTrait.h:112
Namespace of the Blaze C++ math library.
Definition: Blaze.h:58
Header file for the If class template.
#define BLAZE_CONSTRAINT_MUST_BE_COLUMN_MAJOR_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is not a column-major dense or sparse matri...
Definition: ColumnMajorMatrix.h:61
CompositeType_< MT2 > CT2
Composite type of the right-hand side sparse matrix expression.
Definition: SMatTSMatAddExpr.h:113
Header file for the Or class template.
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: SMatTSMatAddExpr.h:238
#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
AddTrait_< RT1, RT2 > ResultType
Result type for expression template evaluations.
Definition: SMatTSMatAddExpr.h:162
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: SMatTSMatAddExpr.h:301
typename T::ElementType ElementType_
Alias declaration for nested ElementType type definitions.The ElementType_ alias declaration provides...
Definition: Aliases.h:163
ResultType_< MT1 > RT1
Result type of the left-hand side sparse matrix expression.
Definition: SMatTSMatAddExpr.h:108
Header file for the IsLower type trait.
size_t nonZeros() const
Returns the number of non-zero elements in the sparse matrix.
Definition: SMatTSMatAddExpr.h:258
ReturnType_< MT1 > RN1
Evaluation type of the left-hand side sparse matrix expression.
Definition: SMatTSMatAddExpr.h:110
size_t nonZeros(size_t i) const
Returns the number of non-zero elements in the specified row.
Definition: SMatTSMatAddExpr.h:269
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
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:430
#define BLAZE_CONSTRAINT_MUST_FORM_VALID_MATMATADDEXPR(T1, T2)
Constraint on the data type.In case the given data types T1 and T2 do not form a valid matrix/matrix ...
Definition: MatMatAddExpr.h:107
Constraint on the data type.
Header file for all forward declarations for expression class templates.
Header file for the EnableIf class template.
Header file for the IsStrictlyLower type trait.
If_< IsExpression< MT2 >, const MT2, const MT2 &> RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: SMatTSMatAddExpr.h:177
const ResultType CompositeType
Data type for composite expression templates.
Definition: SMatTSMatAddExpr.h:171
const IfTrue_< returnExpr, ExprReturnType, ElementType > ReturnType
Return type for expression template evaluations.
Definition: SMatTSMatAddExpr.h:168
#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:106
Compile time check for lower unitriangular matrices.This type trait tests whether or not the given te...
Definition: IsUniLower.h:86
Compile time check for resizable data types.This type trait tests whether the given data type is a re...
Definition: IsResizable.h:75
#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:79
#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.
AddExprTrait_< RN1, RN2 > ExprReturnType
Expression return type for the subscript operator.
Definition: SMatTSMatAddExpr.h:126
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
Header file for the isDefault shim.
Compile time check for Hermitian matrices.This type trait tests whether or not the given template par...
Definition: IsHermitian.h:85
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: SMatTSMatAddExpr.h:207
RightOperand rhs_
Right-hand side sparse matrix of the addition expression.
Definition: SMatTSMatAddExpr.h:321
Constraint on the data type.
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
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: SMatTSMatAddExpr.h:222
RightOperand rightOperand() const noexcept
Returns the right-hand side transpose sparse matrix operand.
Definition: SMatTSMatAddExpr.h:289
#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.
Header file for the RemoveReference type trait.
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
ResultType_< MT2 > RT2
Result type of the right-hand side sparse matrix expression.
Definition: SMatTSMatAddExpr.h:109
Expression object for sparse matrix-transpose sparse matrix additions.The SMatTSMatAddExpr class repr...
Definition: Forward.h:125
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
typename T::ConstIterator ConstIterator_
Alias declaration for nested ConstIterator type definitions.The ConstIterator_ alias declaration prov...
Definition: Aliases.h:103
decltype(auto) trans(const DenseMatrix< MT, SO > &dm)
Calculation of the transpose of the given dense matrix.
Definition: DMatTransExpr.h:789
ElementType_< ResultType > ElementType
Resulting element type.
Definition: SMatTSMatAddExpr.h:165
SMatTSMatAddExpr(const MT1 &lhs, const MT2 &rhs) noexcept
Constructor for the SMatTSMatAddExpr class.
Definition: SMatTSMatAddExpr.h:191
Header file for the IsComputation type trait class.
Compile time logical &#39;or&#39; evaluation.The Or alias declaration performs at compile time a logical &#39;or&#39;...
Definition: Or.h:76
Compile time evaluation of the size of vectors and matrices.The Size type trait evaluates the size of...
Definition: Size.h:80
Compile time logical &#39;and&#39; evaluation.The And alias declaration performs at compile time a logical &#39;a...
Definition: And.h:76
bool isDefault(const DiagonalProxy< MT > &proxy)
Returns whether the represented element is in default state.
Definition: DiagonalProxy.h:628
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.
LeftOperand leftOperand() const noexcept
Returns the left-hand side sparse matrix operand.
Definition: SMatTSMatAddExpr.h:279
OppositeType_< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: SMatTSMatAddExpr.h:163
Header file for the IsHermitian type trait.
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: SMatTSMatAddExpr.h:164
Header file for the IsResizable type trait.
Header file for the Size type trait.
typename AddTrait< T1, T2 >::Type AddTrait_
Auxiliary alias declaration for the AddTrait class template.The AddTrait_ alias declaration provides ...
Definition: AddTrait.h:291
#define BLAZE_INTERNAL_ASSERT(expr, msg)
Run time assertion macro for internal checks.In case of an invalid run time expression, the program execution is terminated. The BLAZE_INTERNAL_ASSERT macro can be disabled by setting the BLAZE_USER_ASSERTION flag to zero or by defining NDEBUG during the compilation.
Definition: Assert.h:101
#define BLAZE_CONSTRAINT_MUST_BE_SPARSE_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is not a sparse, N-dimensional matrix type...
Definition: SparseMatrix.h:61
Header file for the IsExpression type trait class.
Header file for the function trace functionality.