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  constexpr size_t block( BLOCK_SIZE );
361 
362  const size_t m( rhs.rows() );
363  const size_t n( rhs.columns() );
364 
365  for( size_t ii=0UL; ii<m; ii+=block ) {
366  const size_t iend( ( m < ii+block )?( m ):( ii+block ) );
367  for( size_t jj=0UL; jj<n; jj+=block ) {
368  const size_t jend( ( n < jj+block )?( n ):( jj+block ) );
369  for( size_t i=ii; i<iend; ++i ) {
370  for( size_t j=jj; j<jend; ++j ) {
371  (~lhs)(i,j) = rhs.lhs_(i,j) - rhs.rhs_(i,j);
372  }
373  }
374  }
375  }
376  }
378  //**********************************************************************************************
379 
380  //**Assignment to dense matrices****************************************************************
394  template< typename MT // Type of the target dense matrix
395  , bool SO2 > // Storage order of the target dense matrix
396  friend inline EnableIf_< UseAssign<MT> >
397  assign( DenseMatrix<MT,SO2>& lhs, const DMatTDMatSubExpr& rhs )
398  {
400 
401  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
402  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
403 
404  if( !IsExpression<MT1>::value && isSame( ~lhs, rhs.lhs_ ) ) {
405  subAssign( ~lhs, rhs.rhs_ );
406  }
407  else {
408  assign ( ~lhs, rhs.lhs_ );
409  subAssign( ~lhs, rhs.rhs_ );
410  }
411  }
413  //**********************************************************************************************
414 
415  //**Assignment to sparse matrices***************************************************************
427  template< typename MT // Type of the target sparse matrix
428  , bool SO2 > // Storage order of the target sparse matrix
429  friend inline void assign( SparseMatrix<MT,SO2>& lhs, const DMatTDMatSubExpr& rhs )
430  {
432 
434 
441 
442  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
443  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
444 
445  const TmpType tmp( serial( rhs ) );
446  assign( ~lhs, tmp );
447  }
449  //**********************************************************************************************
450 
451  //**Addition assignment to dense matrices*******************************************************
466  template< typename MT // Type of the target dense matrix
467  , bool SO2 > // Storage order of the target dense matrix
468  friend inline DisableIf_< UseAssign<MT> >
469  addAssign( DenseMatrix<MT,SO2>& lhs, const DMatTDMatSubExpr& rhs )
470  {
472 
473  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
474  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
475 
476  constexpr size_t block( BLOCK_SIZE );
477 
478  const size_t m( rhs.rows() );
479  const size_t n( rhs.columns() );
480 
481  for( size_t ii=0UL; ii<m; ii+=block ) {
482  const size_t iend( ( m < ii+block )?( m ):( ii+block ) );
483  for( size_t jj=0UL; jj<n; jj+=block ) {
484  const size_t jend( ( n < jj+block )?( n ):( jj+block ) );
485  for( size_t i=ii; i<iend; ++i ) {
486  for( size_t j=jj; j<jend; ++j ) {
487  (~lhs)(i,j) += rhs.lhs_(i,j) - rhs.rhs_(i,j);
488  }
489  }
490  }
491  }
492  }
494  //**********************************************************************************************
495 
496  //**Addition assignment to dense matrices*******************************************************
511  template< typename MT // Type of the target dense matrix
512  , bool SO2 > // Storage order of the target dense matrix
513  friend inline EnableIf_< UseAssign<MT> >
514  addAssign( DenseMatrix<MT,SO2>& lhs, const DMatTDMatSubExpr& rhs )
515  {
517 
518  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
519  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
520 
521  addAssign( ~lhs, rhs.lhs_ );
522  subAssign( ~lhs, rhs.rhs_ );
523  }
525  //**********************************************************************************************
526 
527  //**Addition assignment to sparse matrices******************************************************
528  // No special implementation for the addition assignment to sparse matrices.
529  //**********************************************************************************************
530 
531  //**Subtraction assignment to dense matrices****************************************************
546  template< typename MT // Type of the target dense matrix
547  , bool SO2 > // Storage order of the target dense matrix
548  friend inline DisableIf_< UseAssign<MT> >
549  subAssign( DenseMatrix<MT,SO2>& lhs, const DMatTDMatSubExpr& rhs )
550  {
552 
553  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
554  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
555 
556  constexpr size_t block( BLOCK_SIZE );
557 
558  const size_t m( rhs.rows() );
559  const size_t n( rhs.columns() );
560 
561  for( size_t ii=0UL; ii<m; ii+=block ) {
562  const size_t iend( ( m < ii+block )?( m ):( ii+block ) );
563  for( size_t jj=0UL; jj<n; jj+=block ) {
564  const size_t jend( ( n < jj+block )?( n ):( jj+block ) );
565  for( size_t i=ii; i<iend; ++i ) {
566  for( size_t j=jj; j<jend; ++j ) {
567  (~lhs)(i,j) -= rhs.lhs_(i,j) - rhs.rhs_(i,j);
568  }
569  }
570  }
571  }
572  }
574  //**********************************************************************************************
575 
576  //**Subtraction assignment to dense matrices****************************************************
591  template< typename MT // Type of the target dense matrix
592  , bool SO2 > // Storage order of the target dense matrix
593  friend inline EnableIf_< UseAssign<MT> >
594  subAssign( DenseMatrix<MT,SO2>& lhs, const DMatTDMatSubExpr& rhs )
595  {
597 
598  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
599  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
600 
601  subAssign( ~lhs, rhs.lhs_ );
602  addAssign( ~lhs, rhs.rhs_ );
603  }
605  //**********************************************************************************************
606 
607  //**Subtraction assignment to sparse matrices***************************************************
608  // No special implementation for the subtraction assignment to sparse matrices.
609  //**********************************************************************************************
610 
611  //**Multiplication assignment to dense matrices*************************************************
612  // No special implementation for the multiplication assignment to dense matrices.
613  //**********************************************************************************************
614 
615  //**Multiplication assignment to sparse matrices************************************************
616  // No special implementation for the multiplication assignment to sparse matrices.
617  //**********************************************************************************************
618 
619  //**SMP assignment to dense matrices************************************************************
633  template< typename MT // Type of the target dense matrix
634  , bool SO2 > // Storage order of the target dense matrix
635  friend inline EnableIf_< UseSMPAssign<MT> >
637  {
639 
640  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
641  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
642 
643  if( !IsExpression<MT1>::value && isSame( ~lhs, rhs.lhs_ ) ) {
644  smpSubAssign( ~lhs, rhs.rhs_ );
645  }
646  else {
647  smpAssign ( ~lhs, rhs.lhs_ );
648  smpSubAssign( ~lhs, rhs.rhs_ );
649  }
650  }
652  //**********************************************************************************************
653 
654  //**SMP assignment to sparse matrices***********************************************************
668  template< typename MT // Type of the target sparse matrix
669  , bool SO2 > // Storage order of the target sparse matrix
670  friend inline EnableIf_< UseSMPAssign<MT> >
672  {
674 
676 
683 
684  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
685  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
686 
687  const TmpType tmp( rhs );
688  smpAssign( ~lhs, tmp );
689  }
691  //**********************************************************************************************
692 
693  //**SMP addition assignment to dense matrices***************************************************
708  template< typename MT // Type of the target dense matrix
709  , bool SO2 > // Storage order of the target dense matrix
710  friend inline EnableIf_< UseSMPAssign<MT> >
712  {
714 
715  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
716  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
717 
718  smpAddAssign( ~lhs, rhs.lhs_ );
719  smpSubAssign( ~lhs, rhs.rhs_ );
720  }
722  //**********************************************************************************************
723 
724  //**SMP addition assignment to sparse matrices**************************************************
725  // No special implementation for the SMP addition assignment to sparse matrices.
726  //**********************************************************************************************
727 
728  //**SMP subtraction assignment to dense matrices************************************************
743  template< typename MT // Type of the target dense matrix
744  , bool SO2 > // Storage order of the target dense matrix
745  friend inline EnableIf_< UseSMPAssign<MT> >
747  {
749 
750  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
751  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
752 
753  smpSubAssign( ~lhs, rhs.lhs_ );
754  smpAddAssign( ~lhs, rhs.rhs_ );
755  }
757  //**********************************************************************************************
758 
759  //**SMP subtraction assignment to sparse matrices***********************************************
760  // No special implementation for the SMP subtraction assignment to sparse matrices.
761  //**********************************************************************************************
762 
763  //**SMP multiplication assignment to dense matrices*********************************************
764  // No special implementation for the SMP multiplication assignment to dense matrices.
765  //**********************************************************************************************
766 
767  //**SMP multiplication assignment to sparse matrices********************************************
768  // No special implementation for the SMP multiplication assignment to sparse matrices.
769  //**********************************************************************************************
770 
771  //**Compile time checks*************************************************************************
778  //**********************************************************************************************
779 };
780 //*************************************************************************************************
781 
782 
783 
784 
785 //=================================================================================================
786 //
787 // GLOBAL BINARY ARITHMETIC OPERATORS
788 //
789 //=================================================================================================
790 
791 //*************************************************************************************************
820 template< typename T1 // Type of the left-hand side dense matrix
821  , typename T2 > // Type of the right-hand side dense matrix
823  , const DMatTDMatSubExpr<T1,T2> >
825 {
827 
828  if( (~lhs).rows() != (~rhs).rows() || (~lhs).columns() != (~rhs).columns() ) {
829  BLAZE_THROW_INVALID_ARGUMENT( "Matrix sizes do not match" );
830  }
831 
832  return DMatTDMatSubExpr<T1,T2>( ~lhs, ~rhs );
833 }
834 //*************************************************************************************************
835 
836 
837 //*************************************************************************************************
866 template< typename T1 // Type of the left-hand side dense matrix
867  , typename T2 > // Type of the right-hand side dense matrix
868 inline EnableIf_< And< Not< IsSymmetric<T1> >, Not< IsSymmetric<T2> > >
869  , const DMatTDMatSubExpr<T1,T2> >
871 {
873 
874  if( (~lhs).rows() != (~rhs).rows() || (~lhs).columns() != (~rhs).columns() ) {
875  BLAZE_THROW_INVALID_ARGUMENT( "Matrix sizes do not match" );
876  }
877 
878  return DMatTDMatSubExpr<T1,T2>( ~lhs, ~rhs );
879 }
880 //*************************************************************************************************
881 
882 
883 
884 
885 //=================================================================================================
886 //
887 // GLOBAL RESTRUCTURING BINARY ARITHMETIC OPERATORS
888 //
889 //=================================================================================================
890 
891 //*************************************************************************************************
905 template< typename T1 // Type of the left-hand side dense matrix
906  , typename T2 > // Type of the right-hand side dense matrix
907 inline EnableIf_< And< IsSymmetric<T1>, Not< IsSymmetric<T2> > >, const SubExprTrait_<T1,T2> >
908  operator-( const DenseMatrix<T1,false>& lhs, const DenseMatrix<T2,true>& rhs )
909 {
911 
912  if( (~lhs).rows() != (~rhs).rows() || (~lhs).columns() != (~rhs).columns() ) {
913  BLAZE_THROW_INVALID_ARGUMENT( "Matrix sizes do not match" );
914  }
915 
916  return trans( ~lhs ) - ~rhs;
917 }
919 //*************************************************************************************************
920 
921 
922 //*************************************************************************************************
936 template< typename T1 // Type of the left-hand side dense matrix
937  , typename T2 > // Type of the right-hand side dense matrix
939  operator-( const DenseMatrix<T1,false>& lhs, const DenseMatrix<T2,true>& rhs )
940 {
942 
943  if( (~lhs).rows() != (~rhs).rows() || (~lhs).columns() != (~rhs).columns() ) {
944  BLAZE_THROW_INVALID_ARGUMENT( "Matrix sizes do not match" );
945  }
946 
947  return (~lhs) - trans( ~rhs );
948 }
950 //*************************************************************************************************
951 
952 
953 //*************************************************************************************************
967 template< typename T1 // Type of the left-hand side dense matrix
968  , typename T2 > // Type of the right-hand side dense matrix
969 inline EnableIf_< And< Not< IsSymmetric<T1> >, IsSymmetric<T2> >, const SubExprTrait_<T1,T2> >
970  operator-( const DenseMatrix<T1,true>& lhs, const DenseMatrix<T2,false>& rhs )
971 {
973 
974  if( (~lhs).rows() != (~rhs).rows() || (~lhs).columns() != (~rhs).columns() ) {
975  BLAZE_THROW_INVALID_ARGUMENT( "Matrix sizes do not match" );
976  }
977 
978  return (~lhs) - trans( ~rhs );
979 }
981 //*************************************************************************************************
982 
983 
984 //*************************************************************************************************
998 template< typename T1 // Type of the left-hand side dense matrix
999  , typename T2 > // Type of the right-hand side dense matrix
1001  operator-( const DenseMatrix<T1,true>& lhs, const DenseMatrix<T2,false>& rhs )
1002 {
1004 
1005  if( (~lhs).rows() != (~rhs).rows() || (~lhs).columns() != (~rhs).columns() ) {
1006  BLAZE_THROW_INVALID_ARGUMENT( "Matrix sizes do not match" );
1007  }
1008 
1009  return trans( ~lhs ) - (~rhs);
1010 }
1012 //*************************************************************************************************
1013 
1014 
1015 
1016 
1017 //=================================================================================================
1018 //
1019 // ROWS SPECIALIZATIONS
1020 //
1021 //=================================================================================================
1022 
1023 //*************************************************************************************************
1025 template< typename MT1, typename MT2 >
1026 struct Rows< DMatTDMatSubExpr<MT1,MT2> >
1027  : public Max< Rows<MT1>, Rows<MT2> >
1028 {};
1030 //*************************************************************************************************
1031 
1032 
1033 
1034 
1035 //=================================================================================================
1036 //
1037 // COLUMNS SPECIALIZATIONS
1038 //
1039 //=================================================================================================
1040 
1041 //*************************************************************************************************
1043 template< typename MT1, typename MT2 >
1044 struct Columns< DMatTDMatSubExpr<MT1,MT2> >
1045  : public Max< Columns<MT1>, Columns<MT2> >
1046 {};
1048 //*************************************************************************************************
1049 
1050 
1051 
1052 
1053 //=================================================================================================
1054 //
1055 // ISALIGNED SPECIALIZATIONS
1056 //
1057 //=================================================================================================
1058 
1059 //*************************************************************************************************
1061 template< typename MT1, typename MT2 >
1062 struct IsAligned< DMatTDMatSubExpr<MT1,MT2> >
1063  : public BoolConstant< And< IsAligned<MT1>, IsAligned<MT2> >::value >
1064 {};
1066 //*************************************************************************************************
1067 
1068 
1069 
1070 
1071 //=================================================================================================
1072 //
1073 // ISSYMMETRIC SPECIALIZATIONS
1074 //
1075 //=================================================================================================
1076 
1077 //*************************************************************************************************
1079 template< typename MT1, typename MT2 >
1080 struct IsSymmetric< DMatTDMatSubExpr<MT1,MT2> >
1081  : public BoolConstant< IsSymmetric<MT1>::value && IsSymmetric<MT2>::value >
1082 {};
1084 //*************************************************************************************************
1085 
1086 
1087 
1088 
1089 //=================================================================================================
1090 //
1091 // ISHERMITIAN SPECIALIZATIONS
1092 //
1093 //=================================================================================================
1094 
1095 //*************************************************************************************************
1097 template< typename MT1, typename MT2 >
1098 struct IsHermitian< DMatTDMatSubExpr<MT1,MT2> >
1099  : public BoolConstant< IsHermitian<MT1>::value && IsHermitian<MT2>::value >
1100 {};
1102 //*************************************************************************************************
1103 
1104 
1105 
1106 
1107 //=================================================================================================
1108 //
1109 // ISLOWER SPECIALIZATIONS
1110 //
1111 //=================================================================================================
1112 
1113 //*************************************************************************************************
1115 template< typename MT1, typename MT2 >
1116 struct IsLower< DMatTDMatSubExpr<MT1,MT2> >
1117  : public BoolConstant< And< IsLower<MT1>, IsLower<MT2> >::value >
1118 {};
1120 //*************************************************************************************************
1121 
1122 
1123 
1124 
1125 //=================================================================================================
1126 //
1127 // ISUNILOWER SPECIALIZATIONS
1128 //
1129 //=================================================================================================
1130 
1131 //*************************************************************************************************
1133 template< typename MT1, typename MT2 >
1134 struct IsUniLower< DMatTDMatSubExpr<MT1,MT2> >
1135  : public BoolConstant< And< IsUniLower<MT1>, IsStrictlyLower<MT2> >::value >
1136 {};
1138 //*************************************************************************************************
1139 
1140 
1141 
1142 
1143 //=================================================================================================
1144 //
1145 // ISSTRICTLYLOWER SPECIALIZATIONS
1146 //
1147 //=================================================================================================
1148 
1149 //*************************************************************************************************
1151 template< typename MT1, typename MT2 >
1152 struct IsStrictlyLower< DMatTDMatSubExpr<MT1,MT2> >
1153  : public BoolConstant< And< IsStrictlyLower<MT1>, IsStrictlyLower<MT2> >::value >
1154 {};
1156 //*************************************************************************************************
1157 
1158 
1159 
1160 
1161 //=================================================================================================
1162 //
1163 // ISUPPER SPECIALIZATIONS
1164 //
1165 //=================================================================================================
1166 
1167 //*************************************************************************************************
1169 template< typename MT1, typename MT2 >
1170 struct IsUpper< DMatTDMatSubExpr<MT1,MT2> >
1171  : public BoolConstant< And< IsUpper<MT1>, IsUpper<MT2> >::value >
1172 {};
1174 //*************************************************************************************************
1175 
1176 
1177 
1178 
1179 //=================================================================================================
1180 //
1181 // ISUNIUPPER SPECIALIZATIONS
1182 //
1183 //=================================================================================================
1184 
1185 //*************************************************************************************************
1187 template< typename MT1, typename MT2 >
1188 struct IsUniUpper< DMatTDMatSubExpr<MT1,MT2> >
1189  : public BoolConstant< And< IsUniUpper<MT1>, IsStrictlyUpper<MT2> >::value >
1190 {};
1192 //*************************************************************************************************
1193 
1194 
1195 
1196 
1197 //=================================================================================================
1198 //
1199 // ISSTRICTLYUPPER SPECIALIZATIONS
1200 //
1201 //=================================================================================================
1202 
1203 //*************************************************************************************************
1205 template< typename MT1, typename MT2 >
1206 struct IsStrictlyUpper< DMatTDMatSubExpr<MT1,MT2> >
1207  : public BoolConstant< And< IsStrictlyUpper<MT1>, IsStrictlyUpper<MT2> >::value >
1208 {};
1210 //*************************************************************************************************
1211 
1212 
1213 
1214 
1215 //=================================================================================================
1216 //
1217 // EXPRESSION TRAIT SPECIALIZATIONS
1218 //
1219 //=================================================================================================
1220 
1221 //*************************************************************************************************
1223 template< typename MT1, typename MT2, bool AF >
1224 struct SubmatrixExprTrait< DMatTDMatSubExpr<MT1,MT2>, AF >
1225 {
1226  public:
1227  //**********************************************************************************************
1230  //**********************************************************************************************
1231 };
1233 //*************************************************************************************************
1234 
1235 
1236 //*************************************************************************************************
1238 template< typename MT1, typename MT2 >
1239 struct RowExprTrait< DMatTDMatSubExpr<MT1,MT2> >
1240 {
1241  public:
1242  //**********************************************************************************************
1245  //**********************************************************************************************
1246 };
1248 //*************************************************************************************************
1249 
1250 
1251 //*************************************************************************************************
1253 template< typename MT1, typename MT2 >
1254 struct ColumnExprTrait< DMatTDMatSubExpr<MT1,MT2> >
1255 {
1256  public:
1257  //**********************************************************************************************
1260  //**********************************************************************************************
1261 };
1263 //*************************************************************************************************
1264 
1265 } // namespace blaze
1266 
1267 #endif
typename SubmatrixExprTrait< MT, AF >::Type SubmatrixExprTrait_
Auxiliary alias declaration for the SubmatrixExprTrait type trait.The SubmatrixExprTrait_ alias decla...
Definition: SubmatrixExprTrait.h:134
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: DMatTDMatSubExpr.h:291
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
RightOperand rightOperand() const noexcept
Returns the right-hand side transpose dense matrix operand.
Definition: DMatTDMatSubExpr.h:279
Header file for auxiliary alias declarations.
Header file for the Max class template.
Header file for kernel specific block sizes.
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: DMatTDMatSubExpr.h:233
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.
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:721
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.
Generic wrapper for a compile time constant integral value.The IntegralConstant class template repres...
Definition: IntegralConstant.h:71
#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.
const IfTrue_< returnExpr, ExprReturnType, ElementType > ReturnType
Return type for expression template evaluations.
Definition: DMatTDMatSubExpr.h:176
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.
Compile time check for lower triangular matrices.This type trait tests whether or not the given templ...
Definition: IsLower.h:88
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:721
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
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:71
Base class for sparse matrices.The SparseMatrix class is a base class for all sparse matrix classes...
Definition: Forward.h:119
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
Compile time check for the alignment of data types.This type trait tests whether the given data type ...
Definition: IsAligned.h:87
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
LeftOperand leftOperand() const noexcept
Returns the left-hand side dense matrix operand.
Definition: DMatTDMatSubExpr.h:269
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
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.
typename RowExprTrait< MT >::Type RowExprTrait_
Auxiliary alias declaration for the RowExprTrait type trait.The RowExprTrait_ alias declaration provi...
Definition: RowExprTrait.h:134
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.
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: DMatTDMatSubExpr.h:304
#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.
Evaluation of the expression type type of a submatrix operation.Via this type trait it is possible to...
Definition: SubmatrixExprTrait.h:80
Header file for the IsLower type trait.
Header file for the IsAligned type trait.
RightOperand rhs_
Right-hand side dense matrix of the subtraction expression.
Definition: DMatTDMatSubExpr.h:333
typename ColumnExprTrait< MT >::Type ColumnExprTrait_
Auxiliary alias declaration for the ColumnExprTrait type trait.The ColumnExprTrait_ alias declaration...
Definition: ColumnExprTrait.h:133
#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.
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
Evaluation of the expression type type of a row operation.Via this type trait it is possible to evalu...
Definition: RowExprTrait.h:79
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
Compile time check for lower unitriangular matrices.This type trait tests whether or not the given te...
Definition: IsUniLower.h:86
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
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: DMatTDMatSubExpr.h:259
Header file for run time assertion macros.
ResultType_< MT1 > RT1
Result type of the left-hand side dense matrix expression.
Definition: DMatTDMatSubExpr.h:112
Compile time value evaluation.The Max class template selects the larger of the two given template arg...
Definition: Max.h:72
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
#define BLAZE_FUNCTION_TRACE
Function trace macro.This macro can be used to reliably trace function calls. In case function tracin...
Definition: FunctionTrace.h:93
Compile time type negation.The Not class template negates the given compile time condition. In case the given condition would evaluate to true, the nested member enumeration is set to false and vice versa:
Definition: Not.h:70
Compile time check for Hermitian matrices.This type trait tests whether or not the given template par...
Definition: IsHermitian.h:85
Constraints on the storage order of matrix types.
bool isAligned() const noexcept
Returns whether the operands of the expression are properly aligned in memory.
Definition: DMatTDMatSubExpr.h:314
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: DMatTDMatSubExpr.h:249
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
Compile time check for strictly lower triangular matrices.This type trait tests whether or not the gi...
Definition: IsStrictlyLower.h:86
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:733
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
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:76
Compile time evaluation of the number of rows of a matrix.The Rows type trait evaluates the number of...
Definition: Rows.h:76
bool canSMPAssign() const noexcept
Returns whether the expression can be used in SMP assignments.
Definition: DMatTDMatSubExpr.h:324
#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
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: DMatTDMatSubExpr.h:218
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.
Evaluation of the expression type type of a column operation.Via this type trait it is possible to ev...
Definition: ColumnExprTrait.h:78
#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 function trace functionality.