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>
74 #include <blaze/util/Assert.h>
75 #include <blaze/util/DisableIf.h>
76 #include <blaze/util/EnableIf.h>
79 #include <blaze/util/mpl/And.h>
80 #include <blaze/util/mpl/If.h>
81 #include <blaze/util/mpl/Maximum.h>
82 #include <blaze/util/mpl/Or.h>
83 #include <blaze/util/Types.h>
85 
86 
87 namespace blaze {
88 
89 //=================================================================================================
90 //
91 // CLASS SMATTSMATADDEXPR
92 //
93 //=================================================================================================
94 
95 //*************************************************************************************************
102 template< typename MT1 // Type of the left-hand side sparse matrix
103  , typename MT2 > // Type of the right-hand side sparse matrix
104 class SMatTSMatAddExpr
105  : public MatMatAddExpr< SparseMatrix< SMatTSMatAddExpr<MT1,MT2>, false > >
106  , private Computation
107 {
108  private:
109  //**Type definitions****************************************************************************
116  //**********************************************************************************************
117 
118  //**Return type evaluation**********************************************************************
120 
125  enum : bool { returnExpr = !IsTemporary<RN1>::value && !IsTemporary<RN2>::value };
126 
129  //**********************************************************************************************
130 
131  //**Serial evaluation strategy******************************************************************
133 
139  template< typename T1, typename T2 >
140  struct UseSymmetricKernel {
142  enum : bool { value = IsSymmetric<T2>::value };
143  };
145  //**********************************************************************************************
146 
147  //**Parallel evaluation strategy****************************************************************
149 
154  template< typename MT >
155  struct UseSMPAssign {
156  enum : bool { value = MT::smpAssignable };
157  };
159  //**********************************************************************************************
160 
161  public:
162  //**Type definitions****************************************************************************
168 
171 
173  using CompositeType = const ResultType;
174 
176  using LeftOperand = If_< IsExpression<MT1>, const MT1, const MT1& >;
177 
179  using RightOperand = If_< IsExpression<MT2>, const MT2, const MT2& >;
180  //**********************************************************************************************
181 
182  //**Compilation flags***************************************************************************
184  enum : bool { smpAssignable = false };
185  //**********************************************************************************************
186 
187  //**Constructor*********************************************************************************
193  explicit inline SMatTSMatAddExpr( const MT1& lhs, const MT2& rhs ) noexcept
194  : lhs_( lhs ) // Left-hand side sparse matrix of the addition expression
195  , rhs_( rhs ) // Right-hand side sparse matrix of the addition expression
196  {
197  BLAZE_INTERNAL_ASSERT( lhs.rows() == rhs.rows() , "Invalid number of rows" );
198  BLAZE_INTERNAL_ASSERT( lhs.columns() == rhs.columns(), "Invalid number of columns" );
199  }
200  //**********************************************************************************************
201 
202  //**Access operator*****************************************************************************
209  inline ReturnType operator()( size_t i, size_t j ) const {
210  BLAZE_INTERNAL_ASSERT( i < lhs_.rows() , "Invalid row access index" );
211  BLAZE_INTERNAL_ASSERT( j < lhs_.columns(), "Invalid column access index" );
212  return lhs_(i,j) + rhs_(i,j);
213  }
214  //**********************************************************************************************
215 
216  //**At function*********************************************************************************
224  inline ReturnType at( size_t i, size_t j ) const {
225  if( i >= lhs_.rows() ) {
226  BLAZE_THROW_OUT_OF_RANGE( "Invalid row access index" );
227  }
228  if( j >= lhs_.columns() ) {
229  BLAZE_THROW_OUT_OF_RANGE( "Invalid column access index" );
230  }
231  return (*this)(i,j);
232  }
233  //**********************************************************************************************
234 
235  //**Rows function*******************************************************************************
240  inline size_t rows() const noexcept {
241  return lhs_.rows();
242  }
243  //**********************************************************************************************
244 
245  //**Columns function****************************************************************************
250  inline size_t columns() const noexcept {
251  return lhs_.columns();
252  }
253  //**********************************************************************************************
254 
255  //**NonZeros function***************************************************************************
260  inline size_t nonZeros() const {
261  return lhs_.nonZeros() + rhs_.nonZeros();
262  }
263  //**********************************************************************************************
264 
265  //**NonZeros function***************************************************************************
271  inline size_t nonZeros( size_t i ) const {
272  return lhs_.nonZeros(i) + rhs_.nonZeros(i);
273  }
274  //**********************************************************************************************
275 
276  //**Left operand access*************************************************************************
281  inline LeftOperand leftOperand() const noexcept {
282  return lhs_;
283  }
284  //**********************************************************************************************
285 
286  //**Right operand access************************************************************************
291  inline RightOperand rightOperand() const noexcept {
292  return rhs_;
293  }
294  //**********************************************************************************************
295 
296  //**********************************************************************************************
302  template< typename T >
303  inline bool canAlias( const T* alias ) const noexcept {
304  return ( lhs_.canAlias( alias ) || rhs_.canAlias( alias ) );
305  }
306  //**********************************************************************************************
307 
308  //**********************************************************************************************
314  template< typename T >
315  inline bool isAliased( const T* alias ) const noexcept {
316  return ( lhs_.isAliased( alias ) || rhs_.isAliased( alias ) );
317  }
318  //**********************************************************************************************
319 
320  private:
321  //**Member variables****************************************************************************
324  //**********************************************************************************************
325 
326  //**Assignment to dense matrices****************************************************************
338  template< typename MT // Type of the target dense matrix
339  , bool SO > // Storage order of the target dense matrix
340  friend inline void assign( DenseMatrix<MT,SO>& lhs, const SMatTSMatAddExpr& rhs )
341  {
343 
344  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
345  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
346 
347  using RightIterator = ConstIterator_< RemoveReference_<CT2> >;
348 
349  assign( ~lhs, rhs.lhs_ );
350 
351  if( !IsResizable< ElementType_<MT> >::value ) {
352  addAssign( ~lhs, rhs.rhs_ );
353  }
354  else
355  {
356  CT2 B( serial( rhs.rhs_ ) ); // Evaluation of the right-hand side sparse matrix operand
357 
358  BLAZE_INTERNAL_ASSERT( B.rows() == rhs.rhs_.rows() , "Invalid number of rows" );
359  BLAZE_INTERNAL_ASSERT( B.columns() == rhs.rhs_.columns(), "Invalid number of columns" );
360  BLAZE_INTERNAL_ASSERT( B.rows() == (~lhs).rows() , "Invalid number of rows" );
361  BLAZE_INTERNAL_ASSERT( B.columns() == (~lhs).columns() , "Invalid number of columns" );
362 
363  for( size_t j=0UL; j<(~lhs).columns(); ++j ) {
364  const RightIterator end( B.end(j) );
365  for( RightIterator element=B.begin(j); element!=end; ++element ) {
366  if( isDefault( (~lhs)(element->index(),j) ) )
367  (~lhs)(element->index(),j) = element->value();
368  else
369  (~lhs)(element->index(),j) += element->value();
370  }
371  }
372  }
373  }
375  //**********************************************************************************************
376 
377  //**Assignment to row-major sparse matrices*****************************************************
390  template< typename MT > // Type of the target sparse matrix
392  assign( SparseMatrix<MT,false>& lhs, const SMatTSMatAddExpr& rhs )
393  {
395 
396  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
397  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
398 
399  using LeftIterator = ConstIterator_< RemoveReference_<CT1> >;
400  using RightIterator = ConstIterator_< OppositeType_<RT2> >;
401 
402  // Evaluation of the left-hand side sparse matrix operand
403  CT1 A( serial( rhs.lhs_ ) );
404 
405  // Evaluation of the right-hand side sparse matrix operand
406  const OppositeType_<RT2> B( serial( rhs.rhs_ ) );
407 
408  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.lhs_.rows() , "Invalid number of rows" );
409  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.lhs_.columns(), "Invalid number of columns" );
410  BLAZE_INTERNAL_ASSERT( B.rows() == rhs.rhs_.rows() , "Invalid number of rows" );
411  BLAZE_INTERNAL_ASSERT( B.columns() == rhs.rhs_.columns(), "Invalid number of columns" );
412  BLAZE_INTERNAL_ASSERT( A.rows() == (~lhs).rows() , "Invalid number of rows" );
413  BLAZE_INTERNAL_ASSERT( A.columns() == (~lhs).columns() , "Invalid number of columns" );
414 
415  // Final memory allocation (based on the evaluated operands)
416  (~lhs).reserve( A.nonZeros() + B.nonZeros() );
417 
418  // Performing the matrix addition
419  for( size_t i=0UL; i<(~lhs).rows(); ++i )
420  {
421  const LeftIterator lend( A.end(i) );
422  const RightIterator rend( B.end(i) );
423 
424  LeftIterator l( A.begin(i) );
425  RightIterator r( B.begin(i) );
426 
427  while( l != lend && r != rend )
428  {
429  if( l->index() < r->index() ) {
430  (~lhs).append( i, l->index(), l->value() );
431  ++l;
432  }
433  else if( l->index() > r->index() ) {
434  (~lhs).append( i, r->index(), r->value() );
435  ++r;
436  }
437  else {
438  (~lhs).append( i, l->index(), l->value() + r->value() );
439  ++l;
440  ++r;
441  }
442  }
443 
444  while( l != lend ) {
445  (~lhs).append( i, l->index(), l->value() );
446  ++l;
447  }
448 
449  while( r != rend ) {
450  (~lhs).append( i, r->index(), r->value() );
451  ++r;
452  }
453 
454  (~lhs).finalize( i );
455  }
456  }
458  //**********************************************************************************************
459 
460  //**Assignment to row-major sparse matrices*****************************************************
473  template< typename MT > // Type of the target sparse matrix
475  assign( SparseMatrix<MT,false>& lhs, const SMatTSMatAddExpr& rhs )
476  {
478 
479  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
480  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
481 
482  assign( ~lhs, rhs.lhs_ + trans( rhs.rhs_ ) );
483  }
485  //**********************************************************************************************
486 
487  //**Assignment to column-major sparse matrices**************************************************
500  template< typename MT > // Type of the target sparse matrix
502  assign( SparseMatrix<MT,true>& lhs, const SMatTSMatAddExpr& rhs )
503  {
505 
507 
508  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
509  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
510 
511  using LeftIterator = ConstIterator_< OppositeType_<RT1> >;
512  using RightIterator = ConstIterator_< RemoveReference_<CT2> >;
513 
514  // Evaluation of the left-hand side sparse matrix operand
515  const OppositeType_<RT1> A( serial( rhs.lhs_ ) );
516 
517  // Evaluation of the right-hand side sparse matrix operand
518  CT2 B( serial( rhs.rhs_ ) );
519 
520  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.lhs_.rows() , "Invalid number of rows" );
521  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.lhs_.columns(), "Invalid number of columns" );
522  BLAZE_INTERNAL_ASSERT( B.rows() == rhs.rhs_.rows() , "Invalid number of rows" );
523  BLAZE_INTERNAL_ASSERT( B.columns() == rhs.rhs_.columns(), "Invalid number of columns" );
524  BLAZE_INTERNAL_ASSERT( A.rows() == (~lhs).rows() , "Invalid number of rows" );
525  BLAZE_INTERNAL_ASSERT( A.columns() == (~lhs).columns() , "Invalid number of columns" );
526 
527  // Final memory allocation (based on the evaluated operands)
528  (~lhs).reserve( A.nonZeros() + B.nonZeros() );
529 
530  // Performing the matrix addition
531  for( size_t j=0UL; j<(~lhs).columns(); ++j )
532  {
533  const LeftIterator lend( A.end(j) );
534  const RightIterator rend( B.end(j) );
535 
536  LeftIterator l( A.begin(j) );
537  RightIterator r( B.begin(j) );
538 
539  while( l != lend && r != rend )
540  {
541  if( l->index() < r->index() ) {
542  (~lhs).append( l->index(), j, l->value() );
543  ++l;
544  }
545  else if( l->index() > r->index() ) {
546  (~lhs).append( r->index(), j, r->value() );
547  ++r;
548  }
549  else {
550  (~lhs).append( l->index(), j, l->value() + r->value() );
551  ++l;
552  ++r;
553  }
554  }
555 
556  while( l != lend ) {
557  (~lhs).append( l->index(), j, l->value() );
558  ++l;
559  }
560 
561  while( r != rend ) {
562  (~lhs).append( r->index(), j, r->value() );
563  ++r;
564  }
565 
566  (~lhs).finalize( j );
567  }
568  }
570  //**********************************************************************************************
571 
572  //**Assignment to column-major sparse matrices**************************************************
585  template< typename MT > // Type of the target sparse matrix
587  assign( SparseMatrix<MT,true>& lhs, const SMatTSMatAddExpr& rhs )
588  {
590 
592 
593  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
594  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
595 
596  assign( ~lhs, trans( rhs.lhs_ ) + rhs.rhs_ );
597  }
599  //**********************************************************************************************
600 
601  //**Addition assignment to dense matrices*******************************************************
614  template< typename MT // Type of the target dense matrix
615  , bool SO > // Storage order of the target dense matrix
616  friend inline void addAssign( DenseMatrix<MT,SO>& lhs, const SMatTSMatAddExpr& rhs )
617  {
619 
620  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
621  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
622 
623  addAssign( ~lhs, rhs.lhs_ );
624  addAssign( ~lhs, rhs.rhs_ );
625  }
627  //**********************************************************************************************
628 
629  //**Addition assignment to sparse matrices******************************************************
630  // No special implementation for the addition assignment to sparse matrices.
631  //**********************************************************************************************
632 
633  //**Subtraction assignment to dense matrices****************************************************
646  template< typename MT // Type of the target dense matrix
647  , bool SO > // Storage order of the target dense matrix
648  friend inline void subAssign( DenseMatrix<MT,SO>& lhs, const SMatTSMatAddExpr& rhs )
649  {
651 
652  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
653  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
654 
655  subAssign( ~lhs, rhs.lhs_ );
656  subAssign( ~lhs, rhs.rhs_ );
657  }
659  //**********************************************************************************************
660 
661  //**Subtraction assignment to sparse matrices***************************************************
662  // No special implementation for the subtraction assignment to sparse matrices.
663  //**********************************************************************************************
664 
665  //**Schur product assignment to dense matrices**************************************************
678  template< typename MT // Type of the target dense matrix
679  , bool SO > // Storage order of the target dense matrix
680  friend inline void schurAssign( DenseMatrix<MT,SO>& lhs, const SMatTSMatAddExpr& rhs )
681  {
683 
687 
688  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
689  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
690 
691  const ResultType tmp( serial( rhs ) );
692  schurAssign( ~lhs, tmp );
693  }
695  //**********************************************************************************************
696 
697  //**Schur product assignment to sparse matrices*************************************************
698  // No special implementation for the Schur product assignment to sparse matrices.
699  //**********************************************************************************************
700 
701  //**Multiplication assignment to dense matrices*************************************************
702  // No special implementation for the multiplication assignment to dense matrices.
703  //**********************************************************************************************
704 
705  //**Multiplication assignment to sparse matrices************************************************
706  // No special implementation for the multiplication assignment to sparse matrices.
707  //**********************************************************************************************
708 
709  //**SMP assignment to dense matrices************************************************************
710  // No special implementation for the SMP assignment to dense matrices.
711  //**********************************************************************************************
712 
713  //**SMP assignment to sparse matrices***********************************************************
714  // No special implementation for the SMP assignment to sparse matrices.
715  //**********************************************************************************************
716 
717  //**SMP addition assignment to dense matrices***************************************************
732  template< typename MT // Type of the target dense matrix
733  , bool SO > // Storage order of the target dense matrix
734  friend inline EnableIf_< UseSMPAssign<MT> >
736  {
738 
739  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
740  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
741 
742  smpAddAssign( ~lhs, rhs.lhs_ );
743  smpAddAssign( ~lhs, rhs.rhs_ );
744  }
746  //**********************************************************************************************
747 
748  //**SMP addition assignment to sparse matrices**************************************************
749  // No special implementation for the SMP addition assignment to sparse matrices.
750  //**********************************************************************************************
751 
752  //**SMP subtraction assignment to dense matrices************************************************
767  template< typename MT // Type of the target dense matrix
768  , bool SO > // Storage order of the target dense matrix
769  friend inline EnableIf_< UseSMPAssign<MT> >
771  {
773 
774  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
775  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
776 
777  smpSubAssign( ~lhs, rhs.lhs_ );
778  smpSubAssign( ~lhs, rhs.rhs_ );
779  }
781  //**********************************************************************************************
782 
783  //**SMP subtraction assignment to sparse matrices***********************************************
784  // No special implementation for the SMP subtraction assignment to sparse matrices.
785  //**********************************************************************************************
786 
787  //**SMP Schur product assignment to dense matrices**********************************************
802  template< typename MT // Type of the target dense matrix
803  , bool SO > // Storage order of the target dense matrix
804  friend inline EnableIf_< UseSMPAssign<MT> >
806  {
808 
812 
813  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
814  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
815 
816  const ResultType tmp( rhs );
817  smpSchurAssign( ~lhs, tmp );
818  }
820  //**********************************************************************************************
821 
822  //**SMP Schur product assignment to sparse matrices*********************************************
823  // No special implementation for the SMP Schur product assignment to sparse matrices.
824  //**********************************************************************************************
825 
826  //**SMP multiplication assignment to dense matrices*********************************************
827  // No special implementation for the SMP multiplication assignment to dense matrices.
828  //**********************************************************************************************
829 
830  //**SMP multiplication assignment to sparse matrices********************************************
831  // No special implementation for the SMP multiplication assignment to sparse matrices.
832  //**********************************************************************************************
833 
834  //**Compile time checks*************************************************************************
842  //**********************************************************************************************
843 };
844 //*************************************************************************************************
845 
846 
847 
848 
849 //=================================================================================================
850 //
851 // GLOBAL BINARY ARITHMETIC OPERATORS
852 //
853 //=================================================================================================
854 
855 //*************************************************************************************************
884 template< typename MT1 // Type of the left-hand side sparse matrix
885  , typename MT2 > // Type of the right-hand side sparse matrix
886 inline decltype(auto)
887  operator+( const SparseMatrix<MT1,false>& lhs, const SparseMatrix<MT2,true>& rhs )
888 {
890 
891  if( (~lhs).rows() != (~rhs).rows() || (~lhs).columns() != (~rhs).columns() ) {
892  BLAZE_THROW_INVALID_ARGUMENT( "Matrix sizes do not match" );
893  }
894 
896  return ReturnType( ~lhs, ~rhs );
897 }
898 //*************************************************************************************************
899 
900 
901 //*************************************************************************************************
930 template< typename MT1 // Type of the left-hand side sparse matrix
931  , typename MT2 > // Type of the right-hand side sparse matrix
932 inline decltype(auto)
933  operator+( const SparseMatrix<MT1,true>& lhs, const SparseMatrix<MT2,false>& rhs )
934 {
936 
937  if( (~lhs).rows() != (~rhs).rows() || (~lhs).columns() != (~rhs).columns() ) {
938  BLAZE_THROW_INVALID_ARGUMENT( "Matrix sizes do not match" );
939  }
940 
942  return ReturnType( ~rhs, ~lhs );
943 }
944 //*************************************************************************************************
945 
946 
947 
948 
949 //=================================================================================================
950 //
951 // ROWS SPECIALIZATIONS
952 //
953 //=================================================================================================
954 
955 //*************************************************************************************************
957 template< typename MT1, typename MT2 >
958 struct Rows< SMatTSMatAddExpr<MT1,MT2> >
959  : public Maximum< Rows<MT1>, Rows<MT2> >
960 {};
962 //*************************************************************************************************
963 
964 
965 
966 
967 //=================================================================================================
968 //
969 // COLUMNS SPECIALIZATIONS
970 //
971 //=================================================================================================
972 
973 //*************************************************************************************************
975 template< typename MT1, typename MT2 >
976 struct Columns< SMatTSMatAddExpr<MT1,MT2> >
977  : public Maximum< Columns<MT1>, Columns<MT2> >
978 {};
980 //*************************************************************************************************
981 
982 
983 
984 
985 //=================================================================================================
986 //
987 // ISSYMMETRIC SPECIALIZATIONS
988 //
989 //=================================================================================================
990 
991 //*************************************************************************************************
993 template< typename MT1, typename MT2 >
994 struct IsSymmetric< SMatTSMatAddExpr<MT1,MT2> >
995  : public BoolConstant< IsSymmetric<MT1>::value && IsSymmetric<MT2>::value >
996 {};
998 //*************************************************************************************************
999 
1000 
1001 
1002 
1003 //=================================================================================================
1004 //
1005 // ISHERMITIAN SPECIALIZATIONS
1006 //
1007 //=================================================================================================
1008 
1009 //*************************************************************************************************
1011 template< typename MT1, typename MT2 >
1012 struct IsHermitian< SMatTSMatAddExpr<MT1,MT2> >
1013  : public BoolConstant< IsHermitian<MT1>::value && IsHermitian<MT2>::value >
1014 {};
1016 //*************************************************************************************************
1017 
1018 
1019 
1020 
1021 //=================================================================================================
1022 //
1023 // ISLOWER SPECIALIZATIONS
1024 //
1025 //=================================================================================================
1026 
1027 //*************************************************************************************************
1029 template< typename MT1, typename MT2 >
1030 struct IsLower< SMatTSMatAddExpr<MT1,MT2> >
1031  : public BoolConstant< And< IsLower<MT1>, IsLower<MT2> >::value >
1032 {};
1034 //*************************************************************************************************
1035 
1036 
1037 
1038 
1039 //=================================================================================================
1040 //
1041 // ISUNILOWER SPECIALIZATIONS
1042 //
1043 //=================================================================================================
1044 
1045 //*************************************************************************************************
1047 template< typename MT1, typename MT2 >
1048 struct IsUniLower< SMatTSMatAddExpr<MT1,MT2> >
1049  : public BoolConstant< Or< And< IsUniLower<MT1>, IsStrictlyLower<MT2> >
1050  , And< IsUniLower<MT2>, IsStrictlyLower<MT1> > >::value >
1051 {};
1053 //*************************************************************************************************
1054 
1055 
1056 
1057 
1058 //=================================================================================================
1059 //
1060 // ISSTRICTLYLOWER SPECIALIZATIONS
1061 //
1062 //=================================================================================================
1063 
1064 //*************************************************************************************************
1066 template< typename MT1, typename MT2 >
1067 struct IsStrictlyLower< SMatTSMatAddExpr<MT1,MT2> >
1068  : public BoolConstant< And< IsStrictlyLower<MT1>, IsStrictlyLower<MT2> >::value >
1069 {};
1071 //*************************************************************************************************
1072 
1073 
1074 
1075 
1076 //=================================================================================================
1077 //
1078 // ISUPPER SPECIALIZATIONS
1079 //
1080 //=================================================================================================
1081 
1082 //*************************************************************************************************
1084 template< typename MT1, typename MT2 >
1085 struct IsUpper< SMatTSMatAddExpr<MT1,MT2> >
1086  : public BoolConstant< And< IsUpper<MT1>, IsUpper<MT2> >::value >
1087 {};
1089 //*************************************************************************************************
1090 
1091 
1092 
1093 
1094 //=================================================================================================
1095 //
1096 // ISUNIUPPER SPECIALIZATIONS
1097 //
1098 //=================================================================================================
1099 
1100 //*************************************************************************************************
1102 template< typename MT1, typename MT2 >
1103 struct IsUniUpper< SMatTSMatAddExpr<MT1,MT2> >
1104  : public BoolConstant< Or< And< IsUniUpper<MT1>, IsStrictlyUpper<MT2> >
1105  , And< IsUniUpper<MT2>, IsStrictlyUpper<MT1> > >::value >
1106 {};
1108 //*************************************************************************************************
1109 
1110 
1111 
1112 
1113 //=================================================================================================
1114 //
1115 // ISSTRICTLYUPPER SPECIALIZATIONS
1116 //
1117 //=================================================================================================
1118 
1119 //*************************************************************************************************
1121 template< typename MT1, typename MT2 >
1122 struct IsStrictlyUpper< SMatTSMatAddExpr<MT1,MT2> >
1123  : public BoolConstant< And< IsStrictlyUpper<MT1>, IsStrictlyUpper<MT2> >::value >
1124 {};
1126 //*************************************************************************************************
1127 
1128 } // namespace blaze
1129 
1130 #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:176
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:315
Compile time check whether the given type is a temporary vector or matrix type.This type trait class ...
Definition: IsTemporary.h:70
Header file for the Rows type trait.
Header file for the IsUniUpper type trait.
EnableIf_< IsDenseMatrix< MT1 > > smpSchurAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the SMP Schur product assignment of a matrix to dense matrix.
Definition: DenseMatrix.h:196
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.
Generic wrapper for a compile time constant integral value.The IntegralConstant class template repres...
Definition: IntegralConstant.h:71
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: SMatTSMatAddExpr.h:250
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:88
ReturnType_< MT2 > RN2
Evaluation type of the right-hand side sparse matrix expression.
Definition: SMatTSMatAddExpr.h:113
Header file for the AddExprTrait class template.
CompositeType_< MT1 > CT1
Composite type of the left-hand side sparse matrix expression.
Definition: SMatTSMatAddExpr.h:114
Header file for the Computation base class.
Compile time check for upper triangular matrices.This type trait tests whether or not the given templ...
Definition: IsUpper.h:88
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:78
Base class for sparse matrices.The SparseMatrix class is a base class for all sparse matrix classes...
Definition: Forward.h:129
LeftOperand lhs_
Left-hand side sparse matrix of the addition expression.
Definition: SMatTSMatAddExpr.h:322
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:57
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:115
Header file for the Or class template.
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: SMatTSMatAddExpr.h:240
#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:164
Header file for the Columns type trait.
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: SMatTSMatAddExpr.h:303
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:110
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:260
ReturnType_< MT1 > RN1
Evaluation type of the left-hand side sparse matrix expression.
Definition: SMatTSMatAddExpr.h:112
size_t nonZeros(size_t i) const
Returns the number of non-zero elements in the specified row.
Definition: SMatTSMatAddExpr.h:271
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:264
#define BLAZE_CONSTRAINT_MUST_FORM_VALID_MATMATADDEXPR(T1, T2)
Constraint on the data type.In case the given data types T1 and T2 do not form a valid matrix/matrix ...
Definition: MatMatAddExpr.h:108
Constraint on the data type.
Header file for all forward declarations for expression class templates.
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:179
const ResultType CompositeType
Data type for composite expression templates.
Definition: SMatTSMatAddExpr.h:173
const IfTrue_< returnExpr, ExprReturnType, ElementType > ReturnType
Return type for expression template evaluations.
Definition: SMatTSMatAddExpr.h:170
#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:128
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:209
RightOperand rhs_
Right-hand side sparse matrix of the addition expression.
Definition: SMatTSMatAddExpr.h:323
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:819
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: SMatTSMatAddExpr.h:224
RightOperand rightOperand() const noexcept
Returns the right-hand side transpose sparse matrix operand.
Definition: SMatTSMatAddExpr.h:291
#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:111
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:3082
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:790
ElementType_< ResultType > ElementType
Resulting element type.
Definition: SMatTSMatAddExpr.h:167
SMatTSMatAddExpr(const MT1 &lhs, const MT2 &rhs) noexcept
Constructor for the SMatTSMatAddExpr class.
Definition: SMatTSMatAddExpr.h:193
Header file for the IsComputation type trait class.
Header file for the IntegralConstant class template.
Compile time evaluation of the number of columns of a matrix.The Columns type trait evaluates the num...
Definition: Columns.h:75
Compile time evaluation of the number of rows of a matrix.The Rows type trait evaluates the number of...
Definition: Rows.h:75
bool isDefault(const DiagonalProxy< MT > &proxy)
Returns whether the represented element is in default state.
Definition: DiagonalProxy.h:600
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:281
OppositeType_< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: SMatTSMatAddExpr.h:165
Header file for the IsHermitian type trait.
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: SMatTSMatAddExpr.h:166
Header file for the IsResizable type trait.
typename AddTrait< T1, T2 >::Type AddTrait_
Auxiliary alias declaration for the AddTrait class template.The AddTrait_ alias declaration provides ...
Definition: AddTrait.h:250
#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.