DMatDeclSymExpr.h
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1 //=================================================================================================
33 //=================================================================================================
34 
35 #ifndef _BLAZE_MATH_EXPRESSIONS_DMATDECLSYMEXPR_H_
36 #define _BLAZE_MATH_EXPRESSIONS_DMATDECLSYMEXPR_H_
37 
38 
39 //*************************************************************************************************
40 // Includes
41 //*************************************************************************************************
42 
43 #include <iterator>
44 #include <blaze/math/Aliases.h>
51 #include <blaze/math/Exception.h>
73 #include <blaze/util/Assert.h>
74 #include <blaze/util/DisableIf.h>
75 #include <blaze/util/EnableIf.h>
77 #include <blaze/util/InvalidType.h>
78 #include <blaze/util/mpl/And.h>
79 #include <blaze/util/mpl/If.h>
80 #include <blaze/util/mpl/Not.h>
81 #include <blaze/util/mpl/Or.h>
82 #include <blaze/util/TrueType.h>
83 #include <blaze/util/Types.h>
85 
86 
87 namespace blaze {
88 
89 //=================================================================================================
90 //
91 // CLASS DMATDECLSYMEXPR
92 //
93 //=================================================================================================
94 
95 //*************************************************************************************************
102 template< typename MT // Type of the dense matrix
103  , bool SO > // Storage order
105  : public DeclSymExpr< DenseMatrix< DMatDeclSymExpr<MT,SO>, SO > >
106  , public Declaration<MT>
107 {
108  private:
109  //**Type definitions****************************************************************************
110  using RT = ResultType_<MT>;
111  //**********************************************************************************************
112 
113  //**Serial evaluation strategy******************************************************************
115 
121  enum : bool { useAssign = RequiresEvaluation<MT>::value };
122 
124  template< typename MT2 >
126  struct UseAssign {
127  enum : bool { value = useAssign };
128  };
130  //**********************************************************************************************
131 
132  //**Parallel evaluation strategy****************************************************************
134 
139  template< typename MT2 >
140  struct UseSMPAssign {
141  enum : bool { value = MT2::smpAssignable && useAssign };
142  };
144  //**********************************************************************************************
145 
146  //**********************************************************************************************
148 
152  template< typename MT2 >
153  struct GetConstIterator {
155  struct Success { using Type = typename MT2::ConstIterator; };
156  struct Failure { using Type = INVALID_TYPE; };
157  using Type = typename If_< HasConstIterator<MT2>, Success, Failure >::Type;
158  };
160  //**********************************************************************************************
161 
162  public:
163  //**Type definitions****************************************************************************
170 
173 
175  using ConstIterator = typename GetConstIterator<MT>::Type;
176 
178  using Operand = If_< IsExpression<MT>, const MT, const MT& >;
179  //**********************************************************************************************
180 
181  //**Compilation flags***************************************************************************
183  enum : bool { simdEnabled = MT::simdEnabled };
184 
186  enum : bool { smpAssignable = MT::smpAssignable };
187  //**********************************************************************************************
188 
189  //**SIMD properties*****************************************************************************
191  enum : size_t { SIMDSIZE = SIMDTrait<ElementType>::size };
192  //**********************************************************************************************
193 
194  //**Constructor*********************************************************************************
199  explicit inline DMatDeclSymExpr( const MT& dm ) noexcept
200  : dm_( dm ) // Dense matrix of the declsym expression
201  {
202  BLAZE_INTERNAL_ASSERT( isSquare( ~dm ), "Non-square matrix detected" );
203  }
204  //**********************************************************************************************
205 
206  //**Access operator*****************************************************************************
213  inline ReturnType operator()( size_t i, size_t j ) const {
214  BLAZE_INTERNAL_ASSERT( i < dm_.rows() , "Invalid row access index" );
215  BLAZE_INTERNAL_ASSERT( j < dm_.columns(), "Invalid column access index" );
216  return dm_(i,j);
217  }
218  //**********************************************************************************************
219 
220  //**At function*********************************************************************************
228  inline ReturnType at( size_t i, size_t j ) const {
229  if( i >= dm_.rows() ) {
230  BLAZE_THROW_OUT_OF_RANGE( "Invalid row access index" );
231  }
232  if( j >= dm_.columns() ) {
233  BLAZE_THROW_OUT_OF_RANGE( "Invalid column access index" );
234  }
235  return (*this)(i,j);
236  }
237  //**********************************************************************************************
238 
239  //**Load function*******************************************************************************
246  BLAZE_ALWAYS_INLINE auto load( size_t i, size_t j ) const noexcept {
247  BLAZE_INTERNAL_ASSERT( i < dm_.columns(), "Invalid row access index" );
248  BLAZE_INTERNAL_ASSERT( j < dm_.rows() , "Invalid column access index" );
249  BLAZE_INTERNAL_ASSERT( !SO || ( i % SIMDSIZE == 0UL ), "Invalid row access index" );
250  BLAZE_INTERNAL_ASSERT( SO || ( j % SIMDSIZE == 0UL ), "Invalid column access index" );
251  return dm_.load(i,j);
252  }
253  //**********************************************************************************************
254 
255  //**Low-level data access***********************************************************************
260  inline const ElementType* data() const noexcept {
261  return dm_.data();
262  }
263  //**********************************************************************************************
264 
265  //**Begin function******************************************************************************
271  inline ConstIterator begin( size_t i ) const {
272  return ConstIterator( dm_.begin(i) );
273  }
274  //**********************************************************************************************
275 
276  //**End function********************************************************************************
282  inline ConstIterator end( size_t i ) const {
283  return ConstIterator( dm_.end(i) );
284  }
285  //**********************************************************************************************
286 
287  //**Rows function*******************************************************************************
292  inline size_t rows() const noexcept {
293  return dm_.rows();
294  }
295  //**********************************************************************************************
296 
297  //**Columns function****************************************************************************
302  inline size_t columns() const noexcept {
303  return dm_.columns();
304  }
305  //**********************************************************************************************
306 
307  //**Operand access******************************************************************************
312  inline Operand operand() const noexcept {
313  return dm_;
314  }
315  //**********************************************************************************************
316 
317  //**********************************************************************************************
323  template< typename T >
324  inline bool canAlias( const T* alias ) const noexcept {
325  return dm_.canAlias( alias );
326  }
327  //**********************************************************************************************
328 
329  //**********************************************************************************************
335  template< typename T >
336  inline bool isAliased( const T* alias ) const noexcept {
337  return dm_.isAliased( alias );
338  }
339  //**********************************************************************************************
340 
341  //**********************************************************************************************
346  inline bool isAligned() const noexcept {
347  return dm_.isAligned();
348  }
349  //**********************************************************************************************
350 
351  //**********************************************************************************************
356  inline bool canSMPAssign() const noexcept {
357  return dm_.canSMPAssign();
358  }
359  //**********************************************************************************************
360 
361  private:
362  //**Member variables****************************************************************************
364  //**********************************************************************************************
365 
366  //**Assignment to dense matrices****************************************************************
378  template< typename MT2 // Type of the target dense matrix
379  , bool SO2 > // Storage order of the target dense matrix
380  friend inline EnableIf_< UseAssign<MT2> >
381  assign( DenseMatrix<MT2,SO2>& lhs, const DMatDeclSymExpr& rhs )
382  {
384 
385  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
386  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
387 
388  assign( ~lhs, rhs.dm_ );
389  }
391  //**********************************************************************************************
392 
393  //**Assignment to sparse matrices***************************************************************
405  template< typename MT2 // Type of the target sparse matrix
406  , bool SO2 > // Storage order of the target dense matrix
407  friend inline EnableIf_< UseAssign<MT2> >
408  assign( SparseMatrix<MT2,SO2>& lhs, const DMatDeclSymExpr& rhs )
409  {
411 
412  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
413  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
414 
415  assign( ~lhs, rhs.dm_ );
416  }
418  //**********************************************************************************************
419 
420  //**Addition assignment to dense matrices*******************************************************
432  template< typename MT2 // Type of the target dense matrix
433  , bool SO2 > // Storage order of the target dense matrix
434  friend inline EnableIf_< UseAssign<MT2> >
435  addAssign( DenseMatrix<MT2,SO2>& lhs, const DMatDeclSymExpr& rhs )
436  {
438 
439  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
440  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
441 
442  addAssign( ~lhs, rhs.dm_ );
443  }
445  //**********************************************************************************************
446 
447  //**Addition assignment to sparse matrices******************************************************
459  template< typename MT2 // Type of the target sparse matrix
460  , bool SO2 > // Storage order of the target dense matrix
461  friend inline EnableIf_< UseAssign<MT2> >
462  addAssign( SparseMatrix<MT2,SO2>& lhs, const DMatDeclSymExpr& rhs )
463  {
465 
466  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
467  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
468 
469  addAssign( ~lhs, rhs.dm_ );
470  }
472  //**********************************************************************************************
473 
474  //**Subtraction assignment to dense matrices****************************************************
486  template< typename MT2 // Type of the target dense matrix
487  , bool SO2 > // Storage order of the target dense matrix
488  friend inline EnableIf_< UseAssign<MT2> >
489  subAssign( DenseMatrix<MT2,SO2>& lhs, const DMatDeclSymExpr& rhs )
490  {
492 
493  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
494  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
495 
496  subAssign( ~lhs, rhs.dm_ );
497  }
499  //**********************************************************************************************
500 
501  //**Subtraction assignment to sparse matrices***************************************************
513  template< typename MT2 // Type of the target sparse matrix
514  , bool SO2 > // Storage order of the target dense matrix
515  friend inline EnableIf_< UseAssign<MT2> >
516  subAssign( SparseMatrix<MT2,SO2>& lhs, const DMatDeclSymExpr& rhs )
517  {
519 
520  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
521  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
522 
523  subAssign( ~lhs, rhs.dm_ );
524  }
526  //**********************************************************************************************
527 
528  //**Schur product assignment to dense matrices**************************************************
540  template< typename MT2 // Type of the target dense matrix
541  , bool SO2 > // Storage order of the target dense matrix
542  friend inline EnableIf_< UseAssign<MT2> >
543  schurAssign( DenseMatrix<MT2,SO2>& lhs, const DMatDeclSymExpr& rhs )
544  {
546 
547  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
548  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
549 
550  schurAssign( ~lhs, rhs.dm_ );
551  }
553  //**********************************************************************************************
554 
555  //**Schur product assignment to sparse matrices*************************************************
567  template< typename MT2 // Type of the target sparse matrix
568  , bool SO2 > // Storage order of the target dense matrix
569  friend inline EnableIf_< UseAssign<MT2> >
570  schurAssign( SparseMatrix<MT2,SO2>& lhs, const DMatDeclSymExpr& rhs )
571  {
573 
574  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
575  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
576 
577  schurAssign( ~lhs, rhs.dm_ );
578  }
580  //**********************************************************************************************
581 
582  //**Multiplication assignment to dense matrices*************************************************
594  template< typename MT2 // Type of the target dense matrix
595  , bool SO2 > // Storage order of the target dense matrix
596  friend inline EnableIf_< UseAssign<MT2> >
597  multAssign( DenseMatrix<MT2,SO2>& lhs, const DMatDeclSymExpr& rhs )
598  {
600 
601  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
602  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
603 
604  multAssign( ~lhs, rhs.dm_ );
605  }
607  //**********************************************************************************************
608 
609  //**Multiplication assignment to sparse matrices************************************************
621  template< typename MT2 // Type of the target sparse matrix
622  , bool SO2 > // Storage order of the target dense matrix
623  friend inline EnableIf_< UseAssign<MT2> >
624  multAssign( SparseMatrix<MT2,SO2>& lhs, const DMatDeclSymExpr& rhs )
625  {
627 
628  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
629  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
630 
631  multAssign( ~lhs, rhs.dm_ );
632  }
634  //**********************************************************************************************
635 
636  //**SMP assignment to dense matrices************************************************************
648  template< typename MT2 // Type of the target dense matrix
649  , bool SO2 > // Storage order of the target dense matrix
650  friend inline EnableIf_< UseSMPAssign<MT2> >
651  smpAssign( DenseMatrix<MT2,SO2>& lhs, const DMatDeclSymExpr& rhs )
652  {
654 
655  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
656  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
657 
658  smpAssign( ~lhs, rhs.dm_ );
659  }
661  //**********************************************************************************************
662 
663  //**SMP assignment to sparse matrices***********************************************************
675  template< typename MT2 // Type of the target sparse matrix
676  , bool SO2 > // Storage order of the target dense matrix
677  friend inline EnableIf_< UseSMPAssign<MT2> >
678  smpAssign( SparseMatrix<MT2,SO2>& lhs, const DMatDeclSymExpr& rhs )
679  {
681 
682  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
683  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
684 
685  smpAssign( ~lhs, rhs.dm_ );
686  }
688  //**********************************************************************************************
689 
690  //**SMP addition assignment to dense matrices***************************************************
702  template< typename MT2 // Type of the target dense matrix
703  , bool SO2 > // Storage order of the target dense matrix
704  friend inline EnableIf_< UseSMPAssign<MT2> >
705  smpAddAssign( DenseMatrix<MT2,SO2>& lhs, const DMatDeclSymExpr& rhs )
706  {
708 
709  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
710  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
711 
712  smpAddAssign( ~lhs, rhs.dm_ );
713  }
715  //**********************************************************************************************
716 
717  //**SMP addition assignment to sparse matrices**************************************************
729  template< typename MT2 // Type of the target sparse matrix
730  , bool SO2 > // Storage order of the target dense matrix
731  friend inline EnableIf_< UseSMPAssign<MT2> >
732  smpAddAssign( SparseMatrix<MT2,SO2>& lhs, const DMatDeclSymExpr& rhs )
733  {
735 
736  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
737  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
738 
739  smpAddAssign( ~lhs, rhs.dm_ );
740  }
742  //**********************************************************************************************
743 
744  //**SMP subtraction assignment to dense matrices************************************************
756  template< typename MT2 // Type of the target dense matrix
757  , bool SO2 > // Storage order of the target dense matrix
758  friend inline EnableIf_< UseSMPAssign<MT2> >
759  smpSubAssign( DenseMatrix<MT2,SO2>& lhs, const DMatDeclSymExpr& rhs )
760  {
762 
763  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
764  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
765 
766  smpSubAssign( ~lhs, rhs.dm_ );
767  }
769  //**********************************************************************************************
770 
771  //**SMP subtraction assignment to sparse matrices***********************************************
783  template< typename MT2 // Type of the target sparse matrix
784  , bool SO2 > // Storage order of the target dense matrix
785  friend inline EnableIf_< UseSMPAssign<MT2> >
786  smpSubAssign( SparseMatrix<MT2,SO2>& lhs, const DMatDeclSymExpr& rhs )
787  {
789 
790  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
791  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
792 
793  smpSubAssign( ~lhs, rhs.dm_ );
794  }
796  //**********************************************************************************************
797 
798  //**SMP Schur product assignment to dense matrices**********************************************
810  template< typename MT2 // Type of the target dense matrix
811  , bool SO2 > // Storage order of the target dense matrix
812  friend inline EnableIf_< UseSMPAssign<MT2> >
813  smpSchurAssign( DenseMatrix<MT2,SO2>& lhs, const DMatDeclSymExpr& rhs )
814  {
816 
817  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
818  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
819 
820  smpSchurAssign( ~lhs, rhs.dm_ );
821  }
823  //**********************************************************************************************
824 
825  //**SMP Schur product assignment to sparse matrices*********************************************
837  template< typename MT2 // Type of the target sparse matrix
838  , bool SO2 > // Storage order of the target dense matrix
839  friend inline EnableIf_< UseSMPAssign<MT2> >
840  smpSchurAssign( SparseMatrix<MT2,SO2>& lhs, const DMatDeclSymExpr& rhs )
841  {
843 
844  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
845  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
846 
847  smpSchurAssign( ~lhs, rhs.dm_ );
848  }
850  //**********************************************************************************************
851 
852  //**SMP multiplication assignment to dense matrices*********************************************
865  template< typename MT2 // Type of the target dense matrix
866  , bool SO2 > // Storage order of the target dense matrix
867  friend inline EnableIf_< UseSMPAssign<MT2> >
868  smpMultAssign( DenseMatrix<MT2,SO2>& lhs, const DMatDeclSymExpr& rhs )
869  {
871 
872  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
873  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
874 
875  smpMultAssign( ~lhs, rhs.dm_ );
876  }
878  //**********************************************************************************************
879 
880  //**SMP multiplication assignment to sparse matrices********************************************
893  template< typename MT2 // Type of the target sparse matrix
894  , bool SO2 > // Storage order of the target dense matrix
895  friend inline EnableIf_< UseSMPAssign<MT2> >
896  smpMultAssign( SparseMatrix<MT2,SO2>& lhs, const DMatDeclSymExpr& rhs )
897  {
899 
900  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
901  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
902 
903  smpMultAssign( ~lhs, rhs.dm_ );
904  }
906  //**********************************************************************************************
907 
908  //**Compile time checks*************************************************************************
916  //**********************************************************************************************
917 };
918 //*************************************************************************************************
919 
920 
921 
922 
923 //=================================================================================================
924 //
925 // GLOBAL FUNCTIONS
926 //
927 //=================================================================================================
928 
929 //*************************************************************************************************
940 template< typename MT // Type of the dense matrix
941  , bool SO // Storage order
943 inline const DMatDeclSymExpr<MT,SO> declsym_backend( const DenseMatrix<MT,SO>& dm )
944 {
946 
947  BLAZE_INTERNAL_ASSERT( isSquare( ~dm ), "Non-square matrix detected" );
948 
949  return DMatDeclSymExpr<MT,SO>( ~dm );
950 }
952 //*************************************************************************************************
953 
954 
955 //*************************************************************************************************
966 template< typename MT // Type of the dense matrix
967  , bool SO // Storage order
969 inline const IdentityMatrix<ElementType_<MT>,SO> declsym_backend( const DenseMatrix<MT,SO>& dm )
970 {
972 
973  BLAZE_INTERNAL_ASSERT( isSquare( ~dm ), "Non-square matrix detected" );
974 
975  return IdentityMatrix<ElementType_<MT>,SO>( (~dm).rows() );
976 }
978 //*************************************************************************************************
979 
980 
981 //*************************************************************************************************
992 template< typename MT // Type of the dense matrix
993  , bool SO // Storage order
994  , typename = EnableIf_< IsSymmetric<MT> > >
995 inline const MT& declsym_backend( const DenseMatrix<MT,SO>& dm )
996 {
998 
999  BLAZE_INTERNAL_ASSERT( isSquare( ~dm ), "Non-square matrix detected" );
1000 
1001  return ~dm;
1002 }
1004 //*************************************************************************************************
1005 
1006 
1007 //*************************************************************************************************
1026 template< typename MT // Type of the dense matrix
1027  , bool SO > // Storage order
1028 inline decltype(auto) declsym( const DenseMatrix<MT,SO>& dm )
1029 {
1031 
1032  if( !isSquare( ~dm ) ) {
1033  BLAZE_THROW_INVALID_ARGUMENT( "Invalid symmetric matrix specification" );
1034  }
1035 
1036  return declsym_backend( ~dm );
1037 }
1038 //*************************************************************************************************
1039 
1040 
1041 
1042 
1043 //=================================================================================================
1044 //
1045 // GLOBAL RESTRUCTURING FUNCTIONS
1046 //
1047 //=================================================================================================
1048 
1049 //*************************************************************************************************
1063 template< typename MT // Type of the left-hand side dense matrix
1064  , typename ST // Type of the right-hand side scalar value
1065  , bool SO // Storage order
1066  , typename = DisableIf_< IsSymmetric<MT> > >
1067 inline decltype(auto) declsym( const DMatScalarMultExpr<MT,ST,SO>& dm )
1068 {
1070 
1071  if( !isSquare( dm ) ) {
1072  BLAZE_THROW_INVALID_ARGUMENT( "Invalid symmetric matrix specification" );
1073  }
1074 
1075  return declsym( dm.leftOperand() ) * dm.rightOperand();
1076 }
1078 //*************************************************************************************************
1079 
1080 
1081 
1082 
1083 //=================================================================================================
1084 //
1085 // SIZE SPECIALIZATIONS
1086 //
1087 //=================================================================================================
1088 
1089 //*************************************************************************************************
1091 template< typename MT, bool SO >
1092 struct Size< DMatDeclSymExpr<MT,SO>, 0UL >
1093  : public Size<MT,0UL>
1094 {};
1095 
1096 template< typename MT, bool SO >
1097 struct Size< DMatDeclSymExpr<MT,SO>, 1UL >
1098  : public Size<MT,1UL>
1099 {};
1101 //*************************************************************************************************
1102 
1103 
1104 
1105 
1106 //=================================================================================================
1107 //
1108 // HASCONSTDATAACCESS SPECIALIZATIONS
1109 //
1110 //=================================================================================================
1111 
1112 //*************************************************************************************************
1114 template< typename MT, bool SO >
1115 struct HasConstDataAccess< DMatDeclSymExpr<MT,SO> >
1116  : public HasConstDataAccess<MT>
1117 {};
1119 //*************************************************************************************************
1120 
1121 
1122 
1123 
1124 //=================================================================================================
1125 //
1126 // ISALIGNED SPECIALIZATIONS
1127 //
1128 //=================================================================================================
1129 
1130 //*************************************************************************************************
1132 template< typename MT, bool SO >
1133 struct IsAligned< DMatDeclSymExpr<MT,SO> >
1134  : public IsAligned<MT>
1135 {};
1137 //*************************************************************************************************
1138 
1139 
1140 
1141 
1142 //=================================================================================================
1143 //
1144 // ISSYMMETRIC SPECIALIZATIONS
1145 //
1146 //=================================================================================================
1147 
1148 //*************************************************************************************************
1150 template< typename MT, bool SO >
1151 struct IsSymmetric< DMatDeclSymExpr<MT,SO> >
1152  : public TrueType
1153 {};
1155 //*************************************************************************************************
1156 
1157 
1158 
1159 
1160 //=================================================================================================
1161 //
1162 // ISHERMITIAN SPECIALIZATIONS
1163 //
1164 //=================================================================================================
1165 
1166 //*************************************************************************************************
1168 template< typename MT, bool SO >
1169 struct IsHermitian< DMatDeclSymExpr<MT,SO> >
1170  : public IsHermitian<MT>
1171 {};
1173 //*************************************************************************************************
1174 
1175 
1176 
1177 
1178 //=================================================================================================
1179 //
1180 // ISLOWER SPECIALIZATIONS
1181 //
1182 //=================================================================================================
1183 
1184 //*************************************************************************************************
1186 template< typename MT, bool SO >
1187 struct IsLower< DMatDeclSymExpr<MT,SO> >
1188  : public IsLower<MT>
1189 {};
1191 //*************************************************************************************************
1192 
1193 
1194 
1195 
1196 //=================================================================================================
1197 //
1198 // ISUNILOWER SPECIALIZATIONS
1199 //
1200 //=================================================================================================
1201 
1202 //*************************************************************************************************
1204 template< typename MT, bool SO >
1205 struct IsUniLower< DMatDeclSymExpr<MT,SO> >
1206  : public IsUniLower<MT>
1207 {};
1209 //*************************************************************************************************
1210 
1211 
1212 
1213 
1214 //=================================================================================================
1215 //
1216 // ISSTRICTLYLOWER SPECIALIZATIONS
1217 //
1218 //=================================================================================================
1219 
1220 //*************************************************************************************************
1222 template< typename MT, bool SO >
1223 struct IsStrictlyLower< DMatDeclSymExpr<MT,SO> >
1224  : public IsStrictlyLower<MT>
1225 {};
1227 //*************************************************************************************************
1228 
1229 
1230 
1231 
1232 //=================================================================================================
1233 //
1234 // ISUPPER SPECIALIZATIONS
1235 //
1236 //=================================================================================================
1237 
1238 //*************************************************************************************************
1240 template< typename MT, bool SO >
1241 struct IsUpper< DMatDeclSymExpr<MT,SO> >
1242  : public IsUpper<MT>
1243 {};
1245 //*************************************************************************************************
1246 
1247 
1248 
1249 
1250 //=================================================================================================
1251 //
1252 // ISUNIUPPER SPECIALIZATIONS
1253 //
1254 //=================================================================================================
1255 
1256 //*************************************************************************************************
1258 template< typename MT, bool SO >
1259 struct IsUniUpper< DMatDeclSymExpr<MT,SO> >
1260  : public IsUniUpper<MT>
1261 {};
1263 //*************************************************************************************************
1264 
1265 
1266 
1267 
1268 //=================================================================================================
1269 //
1270 // ISSTRICTLYUPPER SPECIALIZATIONS
1271 //
1272 //=================================================================================================
1273 
1274 //*************************************************************************************************
1276 template< typename MT, bool SO >
1277 struct IsStrictlyUpper< DMatDeclSymExpr<MT,SO> >
1278  : public IsStrictlyUpper<MT>
1279 {};
1281 //*************************************************************************************************
1282 
1283 } // namespace blaze
1284 
1285 #endif
#define BLAZE_THROW_INVALID_ARGUMENT(MESSAGE)
Macro for the emission of a std::invalid_argument exception.This macro encapsulates the default way o...
Definition: Exception.h:235
Header file for auxiliary alias declarations.
ReturnType_< MT > ReturnType
Return type for expression template evaluations.
Definition: DMatDeclSymExpr.h:169
Compile time check for low-level access to constant data.This type trait tests whether the given data...
Definition: HasConstDataAccess.h:75
ConstIterator begin(size_t i) const
Returns an iterator to the first non-zero element of row/column i.
Definition: DMatDeclSymExpr.h:271
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: DMatDeclSymExpr.h:324
Header file for the IsUniUpper type trait.
EnableIf_< IsDenseMatrix< MT1 > > smpSchurAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the SMP Schur product assignment of a matrix to dense matrix.
Definition: DenseMatrix.h:196
Header file for basic type definitions.
EnableIf_< IsDenseMatrix< MT1 > > smpSubAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the SMP subtraction assignment of a matrix to dense matrix.
Definition: DenseMatrix.h:164
#define BLAZE_CONSTRAINT_MUST_BE_MATRIX_WITH_STORAGE_ORDER(T, SO)
Constraint on the data type.In case the given data type T is not a dense or sparse matrix type and in...
Definition: StorageOrder.h:63
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
Base class for all declaration expression templates.The Declaration class serves as a tag for all dec...
Definition: Declaration.h:70
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: DMatDeclSymExpr.h:167
EnableIf_< IsDenseVector< VT1 > > smpMultAssign(Vector< VT1, TF1 > &lhs, const Vector< VT2, TF2 > &rhs)
Default implementation of the SMP multiplication assignment of a vector to a dense vector...
Definition: DenseVector.h:193
typename DisableIf< Condition, T >::Type DisableIf_
Auxiliary type for the DisableIf class template.The DisableIf_ alias declaration provides a convenien...
Definition: DisableIf.h:224
Header file for the And class template.
Compile time check for lower triangular matrices.This type trait tests whether or not the given templ...
Definition: IsLower.h:87
#define BLAZE_CREATE_HAS_TYPE_MEMBER_TYPE_TRAIT(TYPE_TRAIT_NAME, MEMBER_NAME)
Macro for the creation of a type trait for compile time checks for member types.This macro creates th...
Definition: HasMember.h:182
#define BLAZE_CONSTRAINT_MUST_NOT_BE_UNITRIANGULAR_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is a lower or upper unitriangular matrix ty...
Definition: UniTriangular.h:81
Compile time check for upper triangular matrices.This type trait tests whether or not the given templ...
Definition: IsUpper.h:87
Header file for the RequiresEvaluation type trait.
Operand operand() const noexcept
Returns the dense matrix operand.
Definition: DMatDeclSymExpr.h:312
bool isAligned() const noexcept
Returns whether the operands of the expression are properly aligned in memory.
Definition: DMatDeclSymExpr.h:346
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: DMatDeclSymExpr.h:228
Header file for the SIMD 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:343
EnableIf_< IsDenseMatrix< MT1 > > smpAddAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the SMP addition assignment of a matrix to a dense matrix.
Definition: DenseMatrix.h:133
Base class for dense matrices.The DenseMatrix class is a base class for all dense matrix classes...
Definition: DenseMatrix.h:80
Base class for sparse matrices.The SparseMatrix class is a base class for all sparse matrix classes...
Definition: Forward.h:129
Header file for all forward declarations for sparse vectors and matrices.
Header file for the implementation of the base template of the SymmetricMatrix.
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: DMatDeclSymExpr.h:336
typename T::ReturnType ReturnType_
Alias declaration for nested ReturnType type definitions.The ReturnType_ alias declaration provides a...
Definition: Aliases.h:363
Compile time check for the alignment of data types.This type trait tests whether the given data type ...
Definition: IsAligned.h:87
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:71
typename DeclSymTrait< MT >::Type DeclSymTrait_
Auxiliary alias declaration for the DeclSymTrait type trait.The DeclSymTrait_ alias declaration provi...
Definition: DeclSymTrait.h:156
Compile time check for upper unitriangular matrices.This type trait tests whether or not the given te...
Definition: IsUniUpper.h:86
Efficient implementation of an identity matrix.The IdentityMatrix class template is the representati...
Definition: Forward.h:49
If_< IsExpression< MT >, const MT, const MT &> Operand
Composite data type of the dense matrix expression.
Definition: DMatDeclSymExpr.h:178
Header file for the DisableIf class template.
Header file for the IsStrictlyUpper type trait.
Header file for the IsSymmetric type trait.
Namespace of the Blaze C++ math library.
Definition: Blaze.h:58
#define BLAZE_ALWAYS_INLINE
Platform dependent setup of an enforced inline keyword.
Definition: Inline.h:85
DMatDeclSymExpr(const MT &dm) noexcept
Constructor for the DMatDeclSymExpr class.
Definition: DMatDeclSymExpr.h:199
Header file for the If class template.
ConstIterator end(size_t i) const
Returns an iterator just past the last non-zero element of row/column i.
Definition: DMatDeclSymExpr.h:282
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:102
Header file for the Or class template.
Expression object for dense matrix-scalar multiplications.The DMatScalarMultExpr class represents the...
Definition: DMatScalarMultExpr.h:107
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: DMatDeclSymExpr.h:292
#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 Not class template.
const Element * ConstIterator
Iterator over constant elements.
Definition: CompressedMatrix.h:3085
typename T::ElementType ElementType_
Alias declaration for nested ElementType type definitions.The ElementType_ alias declaration provides...
Definition: Aliases.h:163
typename GetConstIterator< MT >::Type ConstIterator
Iterator over the elements of the dense matrix.
Definition: DMatDeclSymExpr.h:175
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: DMatDeclSymExpr.h:302
Operand dm_
Dense matrix of the declsym expression.
Definition: DMatDeclSymExpr.h:363
Header file for the IsLower type trait.
Header file for the IsAligned type trait.
#define BLAZE_CONSTRAINT_MUST_NOT_BE_MATMATMULTEXPR_TYPE(T)
Constraint on the data type.In case the given data type T is a matrix/matrix multiplication expressio...
Definition: MatMatMultExpr.h:87
Header file for the IsUniTriangular type trait.
RightOperand rightOperand() const noexcept
Returns the right-hand side scalar operand.
Definition: DMatScalarMultExpr.h:564
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
bool canSMPAssign() const noexcept
Returns whether the expression can be used in SMP assignments.
Definition: DMatDeclSymExpr.h:356
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
Header file for all forward declarations for expression class templates.
Base class for all declsym expression templates.The DeclSymExpr class serves as a tag for all express...
Definition: DeclSymExpr.h:66
Header file for the EnableIf class template.
Header file for the IsStrictlyLower type trait.
Header file for the DeclSymExpr base class.
Compile time check for lower unitriangular matrices.This type trait tests whether or not the given te...
Definition: IsUniLower.h:86
const ElementType * data() const noexcept
Low-level data access to the matrix elements.
Definition: DMatDeclSymExpr.h:260
Constraint on the data type.
Header file for the HasConstDataAccess type trait.
Header file for the Declaration base class.
#define BLAZE_CONSTRAINT_MUST_NOT_BE_SYMMETRIC_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is a symmetric matrix type, a compilation error is created.
Definition: Symmetric.h:79
ResultType_< MT > RT
Result type of the dense matrix expression.
Definition: DMatDeclSymExpr.h:110
Header file for run time assertion macros.
Utility type for generic codes.
ElementType_< MT > ElementType
Resulting element type.
Definition: DMatDeclSymExpr.h:168
typename If< T1, T2, T3 >::Type If_
Auxiliary alias declaration for the If class template.The If_ alias declaration provides a convenient...
Definition: If.h:154
SIMD characteristics of data types.The SIMDTrait class template provides the SIMD characteristics of ...
Definition: SIMDTrait.h:296
Header file for the declsym trait.
#define BLAZE_FUNCTION_TRACE
Function trace macro.This macro can be used to reliably trace function calls. In case function tracin...
Definition: FunctionTrace.h:94
decltype(auto) declsym(const DenseMatrix< MT, SO > &dm)
Declares the given dense matrix expression dm as symmetric.
Definition: DMatDeclSymExpr.h:1028
Compile time check for Hermitian matrices.This type trait tests whether or not the given template par...
Definition: IsHermitian.h:85
DeclSymTrait_< RT > ResultType
Result type for expression template evaluations.
Definition: DMatDeclSymExpr.h:165
Constraint on the data type.
Header file for the HasMember type traits.
typename EnableIf< Condition, T >::Type EnableIf_
Auxiliary alias declaration for the EnableIf class template.The EnableIf_ alias declaration provides ...
Definition: EnableIf.h:224
typename T::OppositeType OppositeType_
Alias declaration for nested OppositeType type definitions.The OppositeType_ alias declaration provid...
Definition: Aliases.h:263
Compile time check for strictly lower triangular matrices.This type trait tests whether or not the gi...
Definition: IsStrictlyLower.h:86
Expression object for the explicit symmetry declaration of dense matrices.The DMatDeclSymExpr class r...
Definition: DMatDeclSymExpr.h:104
Compile time evaluation of the size of vectors and matrices.The Size type trait evaluates the size of...
Definition: Size.h:80
typename T::TransposeType TransposeType_
Alias declaration for nested TransposeType type definitions.The TransposeType_ alias declaration prov...
Definition: Aliases.h:423
Header file for the IsUpper type trait.
Constraint on the data type.
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: DMatDeclSymExpr.h:213
If_< RequiresEvaluation< MT >, const ResultType, const DMatDeclSymExpr &> CompositeType
Data type for composite expression templates.
Definition: DMatDeclSymExpr.h:172
Header file for the IsHermitian type trait.
BLAZE_ALWAYS_INLINE auto load(size_t i, size_t j) const noexcept
Access to the SIMD elements of the matrix.
Definition: DMatDeclSymExpr.h:246
BLAZE_ALWAYS_INLINE bool isSquare(const Matrix< MT, SO > &matrix) noexcept
Checks if the given matrix is a square matrix.
Definition: Matrix.h:908
LeftOperand leftOperand() const noexcept
Returns the left-hand side dense matrix operand.
Definition: DMatScalarMultExpr.h:554
Header file for the Size type trait.
#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
OppositeType_< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: DMatDeclSymExpr.h:166
Header file for the TrueType type/value trait base class.
Compile time check for unitriangular matrix types.This type trait tests whether or not the given temp...
Definition: IsUniTriangular.h:86
Header file for the IsExpression type trait class.
Header file for the function trace functionality.