DMatTDMatSubExpr.h
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1 //=================================================================================================
33 //=================================================================================================
34 
35 #ifndef _BLAZE_MATH_EXPRESSIONS_DMATTDMATSUBEXPR_H_
36 #define _BLAZE_MATH_EXPRESSIONS_DMATTDMATSUBEXPR_H_
37 
38 
39 //*************************************************************************************************
40 // Includes
41 //*************************************************************************************************
42 
43 #include <blaze/math/Aliases.h>
49 #include <blaze/math/Exception.h>
74 #include <blaze/system/Blocking.h>
76 #include <blaze/util/Assert.h>
78 #include <blaze/util/DisableIf.h>
79 #include <blaze/util/EnableIf.h>
82 #include <blaze/util/mpl/And.h>
83 #include <blaze/util/mpl/If.h>
84 #include <blaze/util/mpl/Max.h>
85 #include <blaze/util/mpl/Not.h>
86 #include <blaze/util/Types.h>
87 
88 
89 namespace blaze {
90 
91 //=================================================================================================
92 //
93 // CLASS DMATTDMATSUBEXPR
94 //
95 //=================================================================================================
96 
97 //*************************************************************************************************
104 template< typename MT1 // Type of the left-hand side dense matrix
105  , typename MT2 > // Type of the right-hand side dense matrix
106 class DMatTDMatSubExpr : public DenseMatrix< DMatTDMatSubExpr<MT1,MT2>, false >
107  , private MatMatSubExpr
108  , private Computation
109 {
110  private:
111  //**Type definitions****************************************************************************
118  //**********************************************************************************************
119 
120  //**Return type evaluation**********************************************************************
122 
127  enum : bool { returnExpr = !IsTemporary<RN1>::value && !IsTemporary<RN2>::value };
128 
131  //**********************************************************************************************
132 
133  //**Serial evaluation strategy******************************************************************
135 
141  enum : bool { useAssign = RequiresEvaluation<MT1>::value || RequiresEvaluation<MT2>::value || !returnExpr };
142 
144  template< typename MT >
146  struct UseAssign {
147  enum : bool { value = useAssign };
148  };
150  //**********************************************************************************************
151 
152  //**Parallel evaluation strategy****************************************************************
154 
160  template< typename MT >
161  struct UseSMPAssign {
162  enum : bool { value = ( !MT1::smpAssignable || !MT2::smpAssignable ) && useAssign };
163  };
165  //**********************************************************************************************
166 
167  public:
168  //**Type definitions****************************************************************************
174 
177 
179  typedef const ResultType CompositeType;
180 
182  typedef If_< IsExpression<MT1>, const MT1, const MT1& > LeftOperand;
183 
185  typedef If_< IsExpression<MT2>, const MT2, const MT2& > RightOperand;
186  //**********************************************************************************************
187 
188  //**Compilation flags***************************************************************************
190  enum : bool { simdEnabled = false };
191 
193  enum : bool { smpAssignable = MT1::smpAssignable && MT2::smpAssignable };
194  //**********************************************************************************************
195 
196  //**Constructor*********************************************************************************
202  explicit inline DMatTDMatSubExpr( const MT1& lhs, const MT2& rhs ) noexcept
203  : lhs_( lhs ) // Left-hand side dense matrix of the subtraction expression
204  , rhs_( rhs ) // Right-hand side dense matrix of the subtraction expression
205  {
206  BLAZE_INTERNAL_ASSERT( lhs.rows() == rhs.rows() , "Invalid number of rows" );
207  BLAZE_INTERNAL_ASSERT( lhs.columns() == rhs.columns(), "Invalid number of columns" );
208  }
209  //**********************************************************************************************
210 
211  //**Access operator*****************************************************************************
218  inline ReturnType operator()( size_t i, size_t j ) const {
219  BLAZE_INTERNAL_ASSERT( i < lhs_.rows() , "Invalid row access index" );
220  BLAZE_INTERNAL_ASSERT( j < lhs_.columns(), "Invalid column access index" );
221  return lhs_(i,j) - rhs_(i,j);
222  }
223  //**********************************************************************************************
224 
225  //**At function*********************************************************************************
233  inline ReturnType at( size_t i, size_t j ) const {
234  if( i >= lhs_.rows() ) {
235  BLAZE_THROW_OUT_OF_RANGE( "Invalid row access index" );
236  }
237  if( j >= lhs_.columns() ) {
238  BLAZE_THROW_OUT_OF_RANGE( "Invalid column access index" );
239  }
240  return (*this)(i,j);
241  }
242  //**********************************************************************************************
243 
244  //**Rows function*******************************************************************************
249  inline size_t rows() const noexcept {
250  return lhs_.rows();
251  }
252  //**********************************************************************************************
253 
254  //**Columns function****************************************************************************
259  inline size_t columns() const noexcept {
260  return lhs_.columns();
261  }
262  //**********************************************************************************************
263 
264  //**Left operand access*************************************************************************
269  inline LeftOperand leftOperand() const noexcept {
270  return lhs_;
271  }
272  //**********************************************************************************************
273 
274  //**Right operand access************************************************************************
279  inline RightOperand rightOperand() const noexcept {
280  return rhs_;
281  }
282  //**********************************************************************************************
283 
284  //**********************************************************************************************
290  template< typename T >
291  inline bool canAlias( const T* alias ) const noexcept {
292  return ( IsExpression<MT1>::value && ( RequiresEvaluation<MT1>::value ? lhs_.isAliased( alias ) : lhs_.canAlias( alias ) ) ) ||
293  ( IsExpression<MT2>::value && ( RequiresEvaluation<MT2>::value ? rhs_.isAliased( alias ) : rhs_.canAlias( alias ) ) );
294  }
295  //**********************************************************************************************
296 
297  //**********************************************************************************************
303  template< typename T >
304  inline bool isAliased( const T* alias ) const noexcept {
305  return ( lhs_.isAliased( alias ) || rhs_.isAliased( alias ) );
306  }
307  //**********************************************************************************************
308 
309  //**********************************************************************************************
314  inline bool isAligned() const noexcept {
315  return lhs_.isAligned() && rhs_.isAligned();
316  }
317  //**********************************************************************************************
318 
319  //**********************************************************************************************
324  inline bool canSMPAssign() const noexcept {
325  return lhs_.canSMPAssign() || rhs_.canSMPAssign() ||
326  ( rows() * columns() >= SMP_DMATTDMATSUB_THRESHOLD );
327  }
328  //**********************************************************************************************
329 
330  private:
331  //**Member variables****************************************************************************
332  LeftOperand lhs_;
333  RightOperand rhs_;
334  //**********************************************************************************************
335 
336  //**Assignment to dense matrices****************************************************************
350  template< typename MT // Type of the target dense matrix
351  , bool SO2 > // Storage order of the target dense matrix
352  friend inline DisableIf_< UseAssign<MT> >
353  assign( DenseMatrix<MT,SO2>& lhs, const DMatTDMatSubExpr& rhs )
354  {
356 
357  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
358  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
359 
360  const size_t m( rhs.rows() );
361  const size_t n( rhs.columns() );
362  const size_t block( BLOCK_SIZE );
363 
364  for( size_t ii=0UL; ii<m; ii+=block ) {
365  const size_t iend( ( m < ii+block )?( m ):( ii+block ) );
366  for( size_t jj=0UL; jj<n; jj+=block ) {
367  const size_t jend( ( n < jj+block )?( n ):( jj+block ) );
368  for( size_t i=ii; i<iend; ++i ) {
369  for( size_t j=jj; j<jend; ++j ) {
370  (~lhs)(i,j) = rhs.lhs_(i,j) - rhs.rhs_(i,j);
371  }
372  }
373  }
374  }
375  }
377  //**********************************************************************************************
378 
379  //**Assignment to dense matrices****************************************************************
393  template< typename MT // Type of the target dense matrix
394  , bool SO2 > // Storage order of the target dense matrix
395  friend inline EnableIf_< UseAssign<MT> >
396  assign( DenseMatrix<MT,SO2>& lhs, const DMatTDMatSubExpr& rhs )
397  {
399 
400  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
401  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
402 
403  if( !IsExpression<MT1>::value && isSame( ~lhs, rhs.lhs_ ) ) {
404  subAssign( ~lhs, rhs.rhs_ );
405  }
406  else {
407  assign ( ~lhs, rhs.lhs_ );
408  subAssign( ~lhs, rhs.rhs_ );
409  }
410  }
412  //**********************************************************************************************
413 
414  //**Assignment to sparse matrices***************************************************************
426  template< typename MT // Type of the target sparse matrix
427  , bool SO2 > // Storage order of the target sparse matrix
428  friend inline void assign( SparseMatrix<MT,SO2>& lhs, const DMatTDMatSubExpr& rhs )
429  {
431 
432  typedef IfTrue_< SO2, OppositeType, ResultType > TmpType;
433 
439  BLAZE_CONSTRAINT_MUST_BE_REFERENCE_TYPE( CompositeType_<TmpType> );
440 
441  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
442  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
443 
444  const TmpType tmp( serial( rhs ) );
445  assign( ~lhs, tmp );
446  }
448  //**********************************************************************************************
449 
450  //**Addition assignment to dense matrices*******************************************************
465  template< typename MT // Type of the target dense matrix
466  , bool SO2 > // Storage order of the target dense matrix
467  friend inline DisableIf_< UseAssign<MT> >
468  addAssign( DenseMatrix<MT,SO2>& lhs, const DMatTDMatSubExpr& rhs )
469  {
471 
472  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
473  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
474 
475  const size_t m( rhs.rows() );
476  const size_t n( rhs.columns() );
477  const size_t block( BLOCK_SIZE );
478 
479  for( size_t ii=0UL; ii<m; ii+=block ) {
480  const size_t iend( ( m < ii+block )?( m ):( ii+block ) );
481  for( size_t jj=0UL; jj<n; jj+=block ) {
482  const size_t jend( ( n < jj+block )?( n ):( jj+block ) );
483  for( size_t i=ii; i<iend; ++i ) {
484  for( size_t j=jj; j<jend; ++j ) {
485  (~lhs)(i,j) += rhs.lhs_(i,j) - rhs.rhs_(i,j);
486  }
487  }
488  }
489  }
490  }
492  //**********************************************************************************************
493 
494  //**Addition assignment to dense matrices*******************************************************
509  template< typename MT // Type of the target dense matrix
510  , bool SO2 > // Storage order of the target dense matrix
511  friend inline EnableIf_< UseAssign<MT> >
512  addAssign( DenseMatrix<MT,SO2>& lhs, const DMatTDMatSubExpr& rhs )
513  {
515 
516  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
517  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
518 
519  addAssign( ~lhs, rhs.lhs_ );
520  subAssign( ~lhs, rhs.rhs_ );
521  }
523  //**********************************************************************************************
524 
525  //**Addition assignment to sparse matrices******************************************************
526  // No special implementation for the addition assignment to sparse matrices.
527  //**********************************************************************************************
528 
529  //**Subtraction assignment to dense matrices****************************************************
544  template< typename MT // Type of the target dense matrix
545  , bool SO2 > // Storage order of the target dense matrix
546  friend inline DisableIf_< UseAssign<MT> >
547  subAssign( DenseMatrix<MT,SO2>& lhs, const DMatTDMatSubExpr& rhs )
548  {
550 
551  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
552  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
553 
554  const size_t m( rhs.rows() );
555  const size_t n( rhs.columns() );
556  const size_t block( BLOCK_SIZE );
557 
558  for( size_t ii=0UL; ii<m; ii+=block ) {
559  const size_t iend( ( m < ii+block )?( m ):( ii+block ) );
560  for( size_t jj=0UL; jj<n; jj+=block ) {
561  const size_t jend( ( n < jj+block )?( n ):( jj+block ) );
562  for( size_t i=ii; i<iend; ++i ) {
563  for( size_t j=jj; j<jend; ++j ) {
564  (~lhs)(i,j) -= rhs.lhs_(i,j) - rhs.rhs_(i,j);
565  }
566  }
567  }
568  }
569  }
571  //**********************************************************************************************
572 
573  //**Subtraction assignment to dense matrices****************************************************
588  template< typename MT // Type of the target dense matrix
589  , bool SO2 > // Storage order of the target dense matrix
590  friend inline EnableIf_< UseAssign<MT> >
591  subAssign( DenseMatrix<MT,SO2>& lhs, const DMatTDMatSubExpr& rhs )
592  {
594 
595  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
596  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
597 
598  subAssign( ~lhs, rhs.lhs_ );
599  addAssign( ~lhs, rhs.rhs_ );
600  }
602  //**********************************************************************************************
603 
604  //**Subtraction assignment to sparse matrices***************************************************
605  // No special implementation for the subtraction assignment to sparse matrices.
606  //**********************************************************************************************
607 
608  //**Multiplication assignment to dense matrices*************************************************
609  // No special implementation for the multiplication assignment to dense matrices.
610  //**********************************************************************************************
611 
612  //**Multiplication assignment to sparse matrices************************************************
613  // No special implementation for the multiplication assignment to sparse matrices.
614  //**********************************************************************************************
615 
616  //**SMP assignment to dense matrices************************************************************
630  template< typename MT // Type of the target dense matrix
631  , bool SO2 > // Storage order of the target dense matrix
632  friend inline EnableIf_< UseSMPAssign<MT> >
633  smpAssign( DenseMatrix<MT,SO2>& lhs, const DMatTDMatSubExpr& rhs )
634  {
636 
637  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
638  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
639 
640  if( !IsExpression<MT1>::value && isSame( ~lhs, rhs.lhs_ ) ) {
641  smpSubAssign( ~lhs, rhs.rhs_ );
642  }
643  else {
644  smpAssign ( ~lhs, rhs.lhs_ );
645  smpSubAssign( ~lhs, rhs.rhs_ );
646  }
647  }
649  //**********************************************************************************************
650 
651  //**SMP assignment to sparse matrices***********************************************************
665  template< typename MT // Type of the target sparse matrix
666  , bool SO2 > // Storage order of the target sparse matrix
667  friend inline EnableIf_< UseSMPAssign<MT> >
668  smpAssign( SparseMatrix<MT,SO2>& lhs, const DMatTDMatSubExpr& rhs )
669  {
671 
672  typedef IfTrue_< SO2, OppositeType, ResultType > TmpType;
673 
679  BLAZE_CONSTRAINT_MUST_BE_REFERENCE_TYPE( CompositeType_<TmpType> );
680 
681  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
682  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
683 
684  const TmpType tmp( rhs );
685  smpAssign( ~lhs, tmp );
686  }
688  //**********************************************************************************************
689 
690  //**SMP addition assignment to dense matrices***************************************************
705  template< typename MT // Type of the target dense matrix
706  , bool SO2 > // Storage order of the target dense matrix
707  friend inline EnableIf_< UseSMPAssign<MT> >
708  smpAddAssign( DenseMatrix<MT,SO2>& lhs, const DMatTDMatSubExpr& 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  smpAddAssign( ~lhs, rhs.lhs_ );
716  smpSubAssign( ~lhs, rhs.rhs_ );
717  }
719  //**********************************************************************************************
720 
721  //**SMP addition assignment to sparse matrices**************************************************
722  // No special implementation for the SMP addition assignment to sparse matrices.
723  //**********************************************************************************************
724 
725  //**SMP subtraction assignment to dense matrices************************************************
740  template< typename MT // Type of the target dense matrix
741  , bool SO2 > // Storage order of the target dense matrix
742  friend inline EnableIf_< UseSMPAssign<MT> >
743  smpSubAssign( DenseMatrix<MT,SO2>& lhs, const DMatTDMatSubExpr& rhs )
744  {
746 
747  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
748  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
749 
750  smpSubAssign( ~lhs, rhs.lhs_ );
751  smpAddAssign( ~lhs, rhs.rhs_ );
752  }
754  //**********************************************************************************************
755 
756  //**SMP subtraction assignment to sparse matrices***********************************************
757  // No special implementation for the SMP subtraction assignment to sparse matrices.
758  //**********************************************************************************************
759 
760  //**SMP multiplication assignment to dense matrices*********************************************
761  // No special implementation for the SMP multiplication assignment to dense matrices.
762  //**********************************************************************************************
763 
764  //**SMP multiplication assignment to sparse matrices********************************************
765  // No special implementation for the SMP multiplication assignment to sparse matrices.
766  //**********************************************************************************************
767 
768  //**Compile time checks*************************************************************************
775  //**********************************************************************************************
776 };
777 //*************************************************************************************************
778 
779 
780 
781 
782 //=================================================================================================
783 //
784 // GLOBAL BINARY ARITHMETIC OPERATORS
785 //
786 //=================================================================================================
787 
788 //*************************************************************************************************
817 template< typename T1 // Type of the left-hand side dense matrix
818  , typename T2 > // Type of the right-hand side dense matrix
819 inline EnableIf_< And< Not< IsSymmetric<T1> >, Not< IsSymmetric<T2> > >
820  , const DMatTDMatSubExpr<T1,T2> >
822 {
824 
825  if( (~lhs).rows() != (~rhs).rows() || (~lhs).columns() != (~rhs).columns() ) {
826  BLAZE_THROW_INVALID_ARGUMENT( "Matrix sizes do not match" );
827  }
828 
829  return DMatTDMatSubExpr<T1,T2>( ~lhs, ~rhs );
830 }
831 //*************************************************************************************************
832 
833 
834 //*************************************************************************************************
863 template< typename T1 // Type of the left-hand side dense matrix
864  , typename T2 > // Type of the right-hand side dense matrix
865 inline EnableIf_< And< Not< IsSymmetric<T1> >, Not< IsSymmetric<T2> > >
866  , const DMatTDMatSubExpr<T1,T2> >
868 {
870 
871  if( (~lhs).rows() != (~rhs).rows() || (~lhs).columns() != (~rhs).columns() ) {
872  BLAZE_THROW_INVALID_ARGUMENT( "Matrix sizes do not match" );
873  }
874 
875  return DMatTDMatSubExpr<T1,T2>( ~lhs, ~rhs );
876 }
877 //*************************************************************************************************
878 
879 
880 
881 
882 //=================================================================================================
883 //
884 // GLOBAL RESTRUCTURING BINARY ARITHMETIC OPERATORS
885 //
886 //=================================================================================================
887 
888 //*************************************************************************************************
902 template< typename T1 // Type of the left-hand side dense matrix
903  , typename T2 > // Type of the right-hand side dense matrix
904 inline EnableIf_< And< IsSymmetric<T1>, Not< IsSymmetric<T2> > >, const SubExprTrait_<T1,T2> >
905  operator-( const DenseMatrix<T1,false>& lhs, const DenseMatrix<T2,true>& rhs )
906 {
908 
909  if( (~lhs).rows() != (~rhs).rows() || (~lhs).columns() != (~rhs).columns() ) {
910  BLAZE_THROW_INVALID_ARGUMENT( "Matrix sizes do not match" );
911  }
912 
913  return trans( ~lhs ) - ~rhs;
914 }
916 //*************************************************************************************************
917 
918 
919 //*************************************************************************************************
933 template< typename T1 // Type of the left-hand side dense matrix
934  , typename T2 > // Type of the right-hand side dense matrix
935 inline EnableIf_< IsSymmetric<T2>, const SubExprTrait_<T1,T2> >
936  operator-( const DenseMatrix<T1,false>& lhs, const DenseMatrix<T2,true>& rhs )
937 {
939 
940  if( (~lhs).rows() != (~rhs).rows() || (~lhs).columns() != (~rhs).columns() ) {
941  BLAZE_THROW_INVALID_ARGUMENT( "Matrix sizes do not match" );
942  }
943 
944  return (~lhs) - trans( ~rhs );
945 }
947 //*************************************************************************************************
948 
949 
950 //*************************************************************************************************
964 template< typename T1 // Type of the left-hand side dense matrix
965  , typename T2 > // Type of the right-hand side dense matrix
966 inline EnableIf_< And< Not< IsSymmetric<T1> >, IsSymmetric<T2> >, const SubExprTrait_<T1,T2> >
967  operator-( const DenseMatrix<T1,true>& lhs, const DenseMatrix<T2,false>& rhs )
968 {
970 
971  if( (~lhs).rows() != (~rhs).rows() || (~lhs).columns() != (~rhs).columns() ) {
972  BLAZE_THROW_INVALID_ARGUMENT( "Matrix sizes do not match" );
973  }
974 
975  return (~lhs) - trans( ~rhs );
976 }
978 //*************************************************************************************************
979 
980 
981 //*************************************************************************************************
995 template< typename T1 // Type of the left-hand side dense matrix
996  , typename T2 > // Type of the right-hand side dense matrix
997 inline EnableIf_< IsSymmetric<T1>, const SubExprTrait_<T1,T2> >
998  operator-( const DenseMatrix<T1,true>& lhs, const DenseMatrix<T2,false>& rhs )
999 {
1001 
1002  if( (~lhs).rows() != (~rhs).rows() || (~lhs).columns() != (~rhs).columns() ) {
1003  BLAZE_THROW_INVALID_ARGUMENT( "Matrix sizes do not match" );
1004  }
1005 
1006  return trans( ~lhs ) - (~rhs);
1007 }
1009 //*************************************************************************************************
1010 
1011 
1012 
1013 
1014 //=================================================================================================
1015 //
1016 // ROWS SPECIALIZATIONS
1017 //
1018 //=================================================================================================
1019 
1020 //*************************************************************************************************
1022 template< typename MT1, typename MT2 >
1023 struct Rows< DMatTDMatSubExpr<MT1,MT2> >
1024  : public Max< Rows<MT1>, Rows<MT2> >
1025 {};
1027 //*************************************************************************************************
1028 
1029 
1030 
1031 
1032 //=================================================================================================
1033 //
1034 // COLUMNS SPECIALIZATIONS
1035 //
1036 //=================================================================================================
1037 
1038 //*************************************************************************************************
1040 template< typename MT1, typename MT2 >
1041 struct Columns< DMatTDMatSubExpr<MT1,MT2> >
1042  : public Max< Columns<MT1>, Columns<MT2> >
1043 {};
1045 //*************************************************************************************************
1046 
1047 
1048 
1049 
1050 //=================================================================================================
1051 //
1052 // ISALIGNED SPECIALIZATIONS
1053 //
1054 //=================================================================================================
1055 
1056 //*************************************************************************************************
1058 template< typename MT1, typename MT2 >
1059 struct IsAligned< DMatTDMatSubExpr<MT1,MT2> >
1060  : public BoolConstant< And< IsAligned<MT1>, IsAligned<MT2> >::value >
1061 {};
1063 //*************************************************************************************************
1064 
1065 
1066 
1067 
1068 //=================================================================================================
1069 //
1070 // ISSYMMETRIC SPECIALIZATIONS
1071 //
1072 //=================================================================================================
1073 
1074 //*************************************************************************************************
1076 template< typename MT1, typename MT2 >
1077 struct IsSymmetric< DMatTDMatSubExpr<MT1,MT2> >
1078  : public BoolConstant< IsSymmetric<MT1>::value && IsSymmetric<MT2>::value >
1079 {};
1081 //*************************************************************************************************
1082 
1083 
1084 
1085 
1086 //=================================================================================================
1087 //
1088 // ISHERMITIAN SPECIALIZATIONS
1089 //
1090 //=================================================================================================
1091 
1092 //*************************************************************************************************
1094 template< typename MT1, typename MT2 >
1095 struct IsHermitian< DMatTDMatSubExpr<MT1,MT2> >
1096  : public BoolConstant< IsHermitian<MT1>::value && IsHermitian<MT2>::value >
1097 {};
1099 //*************************************************************************************************
1100 
1101 
1102 
1103 
1104 //=================================================================================================
1105 //
1106 // ISLOWER SPECIALIZATIONS
1107 //
1108 //=================================================================================================
1109 
1110 //*************************************************************************************************
1112 template< typename MT1, typename MT2 >
1113 struct IsLower< DMatTDMatSubExpr<MT1,MT2> >
1114  : public BoolConstant< And< IsLower<MT1>, IsLower<MT2> >::value >
1115 {};
1117 //*************************************************************************************************
1118 
1119 
1120 
1121 
1122 //=================================================================================================
1123 //
1124 // ISUNILOWER SPECIALIZATIONS
1125 //
1126 //=================================================================================================
1127 
1128 //*************************************************************************************************
1130 template< typename MT1, typename MT2 >
1131 struct IsUniLower< DMatTDMatSubExpr<MT1,MT2> >
1132  : public BoolConstant< And< IsUniLower<MT1>, IsStrictlyLower<MT2> >::value >
1133 {};
1135 //*************************************************************************************************
1136 
1137 
1138 
1139 
1140 //=================================================================================================
1141 //
1142 // ISSTRICTLYLOWER SPECIALIZATIONS
1143 //
1144 //=================================================================================================
1145 
1146 //*************************************************************************************************
1148 template< typename MT1, typename MT2 >
1149 struct IsStrictlyLower< DMatTDMatSubExpr<MT1,MT2> >
1150  : public BoolConstant< And< IsStrictlyLower<MT1>, IsStrictlyLower<MT2> >::value >
1151 {};
1153 //*************************************************************************************************
1154 
1155 
1156 
1157 
1158 //=================================================================================================
1159 //
1160 // ISUPPER SPECIALIZATIONS
1161 //
1162 //=================================================================================================
1163 
1164 //*************************************************************************************************
1166 template< typename MT1, typename MT2 >
1167 struct IsUpper< DMatTDMatSubExpr<MT1,MT2> >
1168  : public BoolConstant< And< IsUpper<MT1>, IsUpper<MT2> >::value >
1169 {};
1171 //*************************************************************************************************
1172 
1173 
1174 
1175 
1176 //=================================================================================================
1177 //
1178 // ISUNIUPPER SPECIALIZATIONS
1179 //
1180 //=================================================================================================
1181 
1182 //*************************************************************************************************
1184 template< typename MT1, typename MT2 >
1185 struct IsUniUpper< DMatTDMatSubExpr<MT1,MT2> >
1186  : public BoolConstant< And< IsUniUpper<MT1>, IsStrictlyUpper<MT2> >::value >
1187 {};
1189 //*************************************************************************************************
1190 
1191 
1192 
1193 
1194 //=================================================================================================
1195 //
1196 // ISSTRICTLYUPPER SPECIALIZATIONS
1197 //
1198 //=================================================================================================
1199 
1200 //*************************************************************************************************
1202 template< typename MT1, typename MT2 >
1203 struct IsStrictlyUpper< DMatTDMatSubExpr<MT1,MT2> >
1204  : public BoolConstant< And< IsStrictlyUpper<MT1>, IsStrictlyUpper<MT2> >::value >
1205 {};
1207 //*************************************************************************************************
1208 
1209 
1210 
1211 
1212 //=================================================================================================
1213 //
1214 // EXPRESSION TRAIT SPECIALIZATIONS
1215 //
1216 //=================================================================================================
1217 
1218 //*************************************************************************************************
1220 template< typename MT1, typename MT2, bool AF >
1221 struct SubmatrixExprTrait< DMatTDMatSubExpr<MT1,MT2>, AF >
1222 {
1223  public:
1224  //**********************************************************************************************
1225  using Type = SubExprTrait_< SubmatrixExprTrait_<const MT1,AF>
1226  , SubmatrixExprTrait_<const MT2,AF> >;
1227  //**********************************************************************************************
1228 };
1230 //*************************************************************************************************
1231 
1232 
1233 //*************************************************************************************************
1235 template< typename MT1, typename MT2 >
1236 struct RowExprTrait< DMatTDMatSubExpr<MT1,MT2> >
1237 {
1238  public:
1239  //**********************************************************************************************
1240  using Type = SubExprTrait_< RowExprTrait_<const MT1>
1241  , RowExprTrait_<const MT2> >;
1242  //**********************************************************************************************
1243 };
1245 //*************************************************************************************************
1246 
1247 
1248 //*************************************************************************************************
1250 template< typename MT1, typename MT2 >
1251 struct ColumnExprTrait< DMatTDMatSubExpr<MT1,MT2> >
1252 {
1253  public:
1254  //**********************************************************************************************
1255  using Type = SubExprTrait_< ColumnExprTrait_<const MT1>
1256  , ColumnExprTrait_<const MT2> >;
1257  //**********************************************************************************************
1258 };
1260 //*************************************************************************************************
1261 
1262 } // namespace blaze
1263 
1264 #endif
Constraint on the data type.
#define BLAZE_THROW_INVALID_ARGUMENT(MESSAGE)
Macro for the emission of a std::invalid_argument exception.This macro encapsulates the default way o...
Definition: Exception.h:235
Header file for auxiliary alias declarations.
Header file for the Max class template.
Header file for kernel specific block sizes.
bool isAligned() const noexcept
Returns whether the operands of the expression are properly aligned in memory.
Definition: DMatTDMatSubExpr.h:314
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.
Header file for the subtraction trait.
bool canSMPAssign() const noexcept
Returns whether the expression can be used in SMP assignments.
Definition: DMatTDMatSubExpr.h:324
BLAZE_ALWAYS_INLINE bool isSame(const Matrix< MT1, SO1 > &a, const Matrix< MT2, SO2 > &b) noexcept
Returns whether the two given matrices represent the same observable state.
Definition: Matrix.h:653
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:160
Header file for the serial shim.
#define BLAZE_CONSTRAINT_MUST_BE_DENSE_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is not a dense, N-dimensional matrix type...
Definition: DenseMatrix.h:61
Header file for the ColumnExprTrait class template.
RightOperand rightOperand() const noexcept
Returns the right-hand side transpose dense matrix operand.
Definition: DMatTDMatSubExpr.h:279
const IfTrue_< returnExpr, ExprReturnType, ElementType > ReturnType
Return type for expression template evaluations.
Definition: DMatTDMatSubExpr.h:176
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: DMatTDMatSubExpr.h:304
typename DisableIf< Condition, T >::Type DisableIf_
Auxiliary type for the DisableIf class template.The DisableIf_ alias declaration provides a convenien...
Definition: DisableIf.h:223
Header file for the And class template.
LeftOperand lhs_
Left-hand side dense matrix of the subtraction expression.
Definition: DMatTDMatSubExpr.h:332
const DMatSerialExpr< MT, SO > serial(const DenseMatrix< MT, SO > &dm)
Forces the serial evaluation of the given dense matrix expression dm.
Definition: DMatSerialExpr.h:723
Header file for the Computation base class.
const DenseIterator< Type, AF > operator-(const DenseIterator< Type, AF > &it, ptrdiff_t inc) noexcept
Subtraction between a DenseIterator and an integral value.
Definition: DenseIterator.h:731
Constraints on the storage order of matrix types.
Header file for the RequiresEvaluation type trait.
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:323
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:129
Base class for dense matrices.The DenseMatrix class is a base class for all dense matrix classes...
Definition: DenseMatrix.h:70
Constraint on the data type.
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:343
CompositeType_< MT1 > CT1
Composite type of the left-hand side dense matrix expression.
Definition: DMatTDMatSubExpr.h:116
typename SubExprTrait< T1, T2 >::Type SubExprTrait_
Auxiliary alias declaration for the SubExprTrait class template.The SubExprTrait_ alias declaration p...
Definition: SubExprTrait.h:220
Constraint on the data type.
Compile time check to query the requirement to evaluate an expression.Via this type trait it is possi...
Definition: RequiresEvaluation.h:72
typename T::CompositeType CompositeType_
Alias declaration for nested CompositeType type definitions.The CompositeType_ alias declaration prov...
Definition: Aliases.h:83
Expression object for dense matrix-transpose dense matrix subtractions.The DMatTDMatSubExpr class rep...
Definition: DMatTDMatSubExpr.h:106
const ResultType CompositeType
Data type for composite expression templates.
Definition: DMatTDMatSubExpr.h:179
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.
Base class for all matrix/matrix subtraction expression templates.The MatMatSubExpr class serves as a...
Definition: MatMatSubExpr.h:65
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
EnableIf_< IsDenseMatrix< MT1 > > smpAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the SMP assignment of a matrix to a dense matrix.
Definition: DenseMatrix.h:98
OppositeType_< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: DMatTDMatSubExpr.h:171
#define BLAZE_THROW_OUT_OF_RANGE(MESSAGE)
Macro for the emission of a std::out_of_range exception.This macro encapsulates the default way of Bl...
Definition: Exception.h:331
Header file for the DenseMatrix base class.
Header file for the Columns type trait.
Header file for the Not class template.
typename T::ElementType ElementType_
Alias declaration for nested ElementType type definitions.The ElementType_ alias declaration provides...
Definition: Aliases.h:163
Header file for the MatMatSubExpr base class.
Header file for the IsLower type trait.
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: DMatTDMatSubExpr.h:259
Header file for the IsAligned type trait.
RightOperand rhs_
Right-hand side dense matrix of the subtraction expression.
Definition: DMatTDMatSubExpr.h:333
#define BLAZE_CONSTRAINT_MUST_BE_REFERENCE_TYPE(T)
Constraint on the data type.In case the given data type T is not a reference type, a compilation error is created.
Definition: Reference.h:60
SubExprTrait_< RN1, RN2 > ExprReturnType
Expression return type for the subscript operator.
Definition: DMatTDMatSubExpr.h:130
Constraints on the storage order of matrix types.
Header file for the exception macros of the math module.
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: DMatTDMatSubExpr.h:233
If_< IsExpression< MT2 >, const MT2, const MT2 & > RightOperand
Composite type of the right-hand side dense matrix expression.
Definition: DMatTDMatSubExpr.h:185
Header file for the RowExprTrait class template.
Header file for all forward declarations for expression class templates.
ReturnType_< MT1 > RN1
Return type of the left-hand side dense matrix expression.
Definition: DMatTDMatSubExpr.h:114
Header file for the EnableIf class template.
Header file for the IsStrictlyLower type trait.
#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
ReturnType_< MT2 > RN2
Return type of the right-hand side dense matrix expression.
Definition: DMatTDMatSubExpr.h:115
ElementType_< ResultType > ElementType
Resulting element type.
Definition: DMatTDMatSubExpr.h:173
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: RowMajorMatrix.h:61
Header file for run time assertion macros.
ResultType_< MT1 > RT1
Result type of the left-hand side dense matrix expression.
Definition: DMatTDMatSubExpr.h:112
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: DMatTDMatSubExpr.h:249
DMatTDMatSubExpr(const MT1 &lhs, const MT2 &rhs) noexcept
Constructor for the DMatTDMatSubExpr class.
Definition: DMatTDMatSubExpr.h:202
DMatTDMatSubExpr< MT1, MT2 > This
Type of this DMatTDMatSubExpr instance.
Definition: DMatTDMatSubExpr.h:169
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:160
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: DMatTDMatSubExpr.h:218
Constraints on the storage order of matrix types.
IntegralConstant< bool, B > BoolConstant
Generic wrapper for a compile time constant boolean value.The BoolConstant class template represents ...
Definition: IntegralConstant.h:100
typename EnableIf< Condition, T >::Type EnableIf_
Auxiliary alias declaration for the EnableIf class template.The EnableIf_ alias declaration provides ...
Definition: EnableIf.h:223
typename T::OppositeType OppositeType_
Alias declaration for nested OppositeType type definitions.The OppositeType_ alias declaration provid...
Definition: Aliases.h:243
#define BLAZE_CONSTRAINT_MATRICES_MUST_HAVE_SAME_STORAGE_ORDER(T1, T2)
Constraint on the data type.In case either of the two given data types T1 or T2 is not a matrix type ...
Definition: StorageOrder.h:84
ResultType_< MT2 > RT2
Result type of the right-hand side dense matrix expression.
Definition: DMatTDMatSubExpr.h:113
If_< IsExpression< MT1 >, const MT1, const MT1 & > LeftOperand
Composite type of the left-hand side dense matrix expression.
Definition: DMatTDMatSubExpr.h:182
SubTrait_< RT1, RT2 > ResultType
Result type for expression template evaluations.
Definition: DMatTDMatSubExpr.h:170
const DMatTransExpr< MT,!SO > trans(const DenseMatrix< MT, SO > &dm)
Calculation of the transpose of the given dense matrix.
Definition: DMatTransExpr.h:950
Base class for all compute expression templates.The Computation class serves as a tag for all computa...
Definition: Computation.h:59
typename SubTrait< T1, T2 >::Type SubTrait_
Auxiliary alias declaration for the SubTrait class template.The SubTrait_ alias declaration provides ...
Definition: SubTrait.h:245
#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
Header file for the IntegralConstant class template.
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: DMatTDMatSubExpr.h:291
#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:109
typename T::TransposeType TransposeType_
Alias declaration for nested TransposeType type definitions.The TransposeType_ alias declaration prov...
Definition: Aliases.h:403
Header file for the IsUpper type trait.
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: DMatTDMatSubExpr.h:172
CompositeType_< MT2 > CT2
Composite type of the right-hand side dense matrix expression.
Definition: DMatTDMatSubExpr.h:117
Header file for the IsHermitian type trait.
Header file for the SubExprTrait class template.
Header file for the thresholds for matrix/vector and matrix/matrix multiplications.
#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
Compile time check whether the given type is an expression template.This type trait class tests wheth...
Definition: IsExpression.h:71
Header file for the IsExpression type trait class.
Header file for the FunctionTrace class.
LeftOperand leftOperand() const noexcept
Returns the left-hand side dense matrix operand.
Definition: DMatTDMatSubExpr.h:269