DMatDeclLowExpr.h
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1 //=================================================================================================
33 //=================================================================================================
34 
35 #ifndef _BLAZE_MATH_EXPRESSIONS_DMATDECLLOWEXPR_H_
36 #define _BLAZE_MATH_EXPRESSIONS_DMATDECLLOWEXPR_H_
37 
38 
39 //*************************************************************************************************
40 // Includes
41 //*************************************************************************************************
42 
43 #include <iterator>
45 #include <blaze/math/Aliases.h>
51 #include <blaze/math/Exception.h>
72 #include <blaze/util/Assert.h>
73 #include <blaze/util/DisableIf.h>
74 #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 DMATDECLLOWEXPR
92 //
93 //=================================================================================================
94 
95 //*************************************************************************************************
102 template< typename MT // Type of the dense matrix
103  , bool SO > // Storage order
105  : public DeclLowExpr< DenseMatrix< DMatDeclLowExpr<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 DMatDeclLowExpr( const MT& dm ) noexcept
200  : dm_( dm ) // Dense matrix of the decllow 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 DMatDeclLowExpr& 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 DMatDeclLowExpr& 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 DMatDeclLowExpr& 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 DMatDeclLowExpr& 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 DMatDeclLowExpr& 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 DMatDeclLowExpr& 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 DMatDeclLowExpr& 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 DMatDeclLowExpr& 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 DMatDeclLowExpr& 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 DMatDeclLowExpr& 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 DMatDeclLowExpr& 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 DMatDeclLowExpr& 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 DMatDeclLowExpr& 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 DMatDeclLowExpr& 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 DMatDeclLowExpr& 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 DMatDeclLowExpr& 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 DMatDeclLowExpr& 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 DMatDeclLowExpr& 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 DMatDeclLowExpr& 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 DMatDeclLowExpr& 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
942  , typename = DisableIf_< Or< IsLower<MT>, IsUniUpper<MT> > > >
943 inline const DMatDeclLowExpr<MT,SO> decllow_backend( const DenseMatrix<MT,SO>& dm )
944 {
946 
947  BLAZE_INTERNAL_ASSERT( isSquare( ~dm ), "Non-square matrix detected" );
948 
949  return DMatDeclLowExpr<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> decllow_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_< IsLower<MT> > >
995 inline const MT& decllow_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 //*************************************************************************************************
1025 template< typename MT // Type of the dense matrix
1026  , bool SO > // Storage order
1027 inline decltype(auto) decllow( const DenseMatrix<MT,SO>& dm )
1028 {
1030 
1031  if( !isSquare( ~dm ) ) {
1032  BLAZE_THROW_INVALID_ARGUMENT( "Invalid lower matrix specification" );
1033  }
1034 
1035  return decllow_backend( ~dm );
1036 }
1037 //*************************************************************************************************
1038 
1039 
1040 
1041 
1042 //=================================================================================================
1043 //
1044 // GLOBAL RESTRUCTURING FUNCTIONS
1045 //
1046 //=================================================================================================
1047 
1048 //*************************************************************************************************
1062 template< typename MT // Type of the left-hand side dense matrix
1063  , typename ST // Type of the right-hand side scalar value
1064  , bool SO // Storage order
1065  , typename = DisableIf_< IsLower<MT> > >
1066 inline decltype(auto) decllow( const DMatScalarMultExpr<MT,ST,SO>& dm )
1067 {
1069 
1070  if( !isSquare( ~dm ) ) {
1071  BLAZE_THROW_INVALID_ARGUMENT( "Invalid lower matrix specification" );
1072  }
1073 
1074  return decllow( dm.leftOperand() ) * dm.rightOperand();
1075 }
1077 //*************************************************************************************************
1078 
1079 
1080 
1081 
1082 //=================================================================================================
1083 //
1084 // ROWS SPECIALIZATIONS
1085 //
1086 //=================================================================================================
1087 
1088 //*************************************************************************************************
1090 template< typename MT, bool SO >
1091 struct Rows< DMatDeclLowExpr<MT,SO> >
1092  : public Rows<MT>
1093 {};
1095 //*************************************************************************************************
1096 
1097 
1098 
1099 
1100 //=================================================================================================
1101 //
1102 // COLUMNS SPECIALIZATIONS
1103 //
1104 //=================================================================================================
1105 
1106 //*************************************************************************************************
1108 template< typename MT, bool SO >
1109 struct Columns< DMatDeclLowExpr<MT,SO> >
1110  : public Columns<MT>
1111 {};
1113 //*************************************************************************************************
1114 
1115 
1116 
1117 
1118 //=================================================================================================
1119 //
1120 // ISALIGNED SPECIALIZATIONS
1121 //
1122 //=================================================================================================
1123 
1124 //*************************************************************************************************
1126 template< typename MT, bool SO >
1127 struct IsAligned< DMatDeclLowExpr<MT,SO> >
1128  : public BoolConstant< IsAligned<MT>::value >
1129 {};
1131 //*************************************************************************************************
1132 
1133 
1134 
1135 
1136 //=================================================================================================
1137 //
1138 // ISSYMMETRIC SPECIALIZATIONS
1139 //
1140 //=================================================================================================
1141 
1142 //*************************************************************************************************
1144 template< typename MT, bool SO >
1145 struct IsSymmetric< DMatDeclLowExpr<MT,SO> >
1146  : public BoolConstant< IsSymmetric<MT>::value >
1147 {};
1149 //*************************************************************************************************
1150 
1151 
1152 
1153 
1154 //=================================================================================================
1155 //
1156 // ISHERMITIAN SPECIALIZATIONS
1157 //
1158 //=================================================================================================
1159 
1160 //*************************************************************************************************
1162 template< typename MT, bool SO >
1163 struct IsHermitian< DMatDeclLowExpr<MT,SO> >
1164  : public BoolConstant< IsHermitian<MT>::value >
1165 {};
1167 //*************************************************************************************************
1168 
1169 
1170 
1171 
1172 //=================================================================================================
1173 //
1174 // ISLOWER SPECIALIZATIONS
1175 //
1176 //=================================================================================================
1177 
1178 //*************************************************************************************************
1180 template< typename MT, bool SO >
1181 struct IsLower< DMatDeclLowExpr<MT,SO> >
1182  : public TrueType
1183 {};
1185 //*************************************************************************************************
1186 
1187 
1188 
1189 
1190 //=================================================================================================
1191 //
1192 // ISUNILOWER SPECIALIZATIONS
1193 //
1194 //=================================================================================================
1195 
1196 //*************************************************************************************************
1198 template< typename MT, bool SO >
1199 struct IsUniLower< DMatDeclLowExpr<MT,SO> >
1200  : public BoolConstant< IsUniLower<MT>::value >
1201 {};
1203 //*************************************************************************************************
1204 
1205 
1206 
1207 
1208 //=================================================================================================
1209 //
1210 // ISSTRICTLYLOWER SPECIALIZATIONS
1211 //
1212 //=================================================================================================
1213 
1214 //*************************************************************************************************
1216 template< typename MT, bool SO >
1217 struct IsStrictlyLower< DMatDeclLowExpr<MT,SO> >
1218  : public BoolConstant< IsStrictlyLower<MT>::value >
1219 {};
1221 //*************************************************************************************************
1222 
1223 
1224 
1225 
1226 //=================================================================================================
1227 //
1228 // ISUPPER SPECIALIZATIONS
1229 //
1230 //=================================================================================================
1231 
1232 //*************************************************************************************************
1234 template< typename MT, bool SO >
1235 struct IsUpper< DMatDeclLowExpr<MT,SO> >
1236  : public BoolConstant< Or< IsSymmetric<MT>, IsHermitian<MT>, IsUpper<MT> >::value >
1237 {};
1239 //*************************************************************************************************
1240 
1241 
1242 
1243 
1244 //=================================================================================================
1245 //
1246 // ISUNIUPPER SPECIALIZATIONS
1247 //
1248 //=================================================================================================
1249 
1250 //*************************************************************************************************
1252 template< typename MT, bool SO >
1253 struct IsUniUpper< DMatDeclLowExpr<MT,SO> >
1254  : public BoolConstant< IsUniUpper<MT>::value >
1255 {};
1257 //*************************************************************************************************
1258 
1259 
1260 
1261 
1262 //=================================================================================================
1263 //
1264 // ISSTRICTLYUPPER SPECIALIZATIONS
1265 //
1266 //=================================================================================================
1267 
1268 //*************************************************************************************************
1270 template< typename MT, bool SO >
1271 struct IsStrictlyUpper< DMatDeclLowExpr<MT,SO> >
1272  : public BoolConstant< IsStrictlyUpper<MT>::value >
1273 {};
1275 //*************************************************************************************************
1276 
1277 } // namespace blaze
1278 
1279 #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.
bool isAligned() const noexcept
Returns whether the operands of the expression are properly aligned in memory.
Definition: DMatDeclLowExpr.h:346
Header file for the Rows type trait.
Header file for the IsUniUpper type trait.
EnableIf_< IsDenseMatrix< MT1 > > smpSchurAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the SMP Schur product assignment of a matrix to dense matrix.
Definition: DenseMatrix.h:196
Header file for basic type definitions.
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: DMatDeclLowExpr.h:302
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
#define BLAZE_CONSTRAINT_MUST_NOT_BE_UNIUPPER_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is a upper unitriangular matrix type...
Definition: UniUpper.h:81
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:88
#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
DeclLowTrait_< RT > ResultType
Result type for expression template evaluations.
Definition: DMatDeclLowExpr.h:165
Expression object for the explicit lower declaration of dense matrices.The DMatDeclLowExpr class repr...
Definition: DMatDeclLowExpr.h:104
Operand operand() const noexcept
Returns the dense matrix operand.
Definition: DMatDeclLowExpr.h:312
Compile time check for upper triangular matrices.This type trait tests whether or not the given templ...
Definition: IsUpper.h:88
typename DeclLowTrait< MT >::Type DeclLowTrait_
Auxiliary alias declaration for the DeclLowTrait type trait.The DeclLowTrait_ alias declaration provi...
Definition: DeclLowTrait.h:176
Header file for the RequiresEvaluation type trait.
Constraint on the data type.
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
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: DMatDeclLowExpr.h:324
Base class for dense matrices.The DenseMatrix class is a base class for all dense matrix classes...
Definition: DenseMatrix.h:78
Base class for sparse matrices.The SparseMatrix class is a base class for all sparse matrix classes...
Definition: Forward.h:129
Header file for all forward declarations for sparse vectors and matrices.
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:72
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
Header file for the DisableIf class template.
bool canSMPAssign() const noexcept
Returns whether the expression can be used in SMP assignments.
Definition: DMatDeclLowExpr.h:356
Header file for the IsStrictlyUpper type trait.
Header file for the IsSymmetric type trait.
Namespace of the Blaze C++ math library.
Definition: Blaze.h:57
#define BLAZE_ALWAYS_INLINE
Platform dependent setup of an enforced inline keyword.
Definition: Inline.h:85
Header file for the If class template.
ResultType_< MT > RT
Result type of the dense matrix expression.
Definition: DMatDeclLowExpr.h:110
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:110
Header file for the decllow trait.
#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
ConstIterator begin(size_t i) const
Returns an iterator to the first non-zero element of row/column i.
Definition: DMatDeclLowExpr.h:271
Header file for the DenseMatrix base class.
Header file for the Columns type trait.
Header file for the Not class template.
const Element * ConstIterator
Iterator over constant elements.
Definition: CompressedMatrix.h:3087
typename T::ElementType ElementType_
Alias declaration for nested ElementType type definitions.The ElementType_ alias declaration provides...
Definition: Aliases.h:163
decltype(auto) decllow(const DenseMatrix< MT, SO > &dm)
Declares the given dense matrix expression dm as lower.
Definition: DMatDeclLowExpr.h:1027
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:88
If_< IsExpression< MT >, const MT, const MT &> Operand
Composite data type of the dense matrix expression.
Definition: DMatDeclLowExpr.h:178
RightOperand rightOperand() const noexcept
Returns the right-hand side scalar operand.
Definition: DMatScalarMultExpr.h:567
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.
ElementType_< MT > ElementType
Resulting element type.
Definition: DMatDeclLowExpr.h:168
BLAZE_ALWAYS_INLINE auto load(size_t i, size_t j) const noexcept
Access to the SIMD elements of the matrix.
Definition: DMatDeclLowExpr.h:246
Compile time check for strictly upper triangular matrices.This type trait tests whether or not the gi...
Definition: IsStrictlyUpper.h:86
Header file for the DeclLowExpr base class.
ReturnType_< MT > ReturnType
Return type for expression template evaluations.
Definition: DMatDeclLowExpr.h:169
Header file for all forward declarations for expression class templates.
Constraint on the data type.
Header file for the EnableIf class template.
Header file for the IsStrictlyLower type trait.
Base class for all decllow expression templates.The DeclLowExpr class serves as a tag for all express...
Definition: DeclLowExpr.h:66
Compile time check for lower unitriangular matrices.This type trait tests whether or not the given te...
Definition: IsUniLower.h:86
Header file for the Declaration base class.
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: DMatDeclLowExpr.h:213
Header file for run time assertion macros.
Utility type for generic codes.
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
ConstIterator end(size_t i) const
Returns an iterator just past the last non-zero element of row/column i.
Definition: DMatDeclLowExpr.h:282
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: DMatDeclLowExpr.h:228
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: DMatDeclLowExpr.h:336
#define BLAZE_CONSTRAINT_MUST_NOT_BE_LOWER_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is a lower triangular matrix type...
Definition: Lower.h:81
SIMD characteristics of data types.The SIMDTrait class template provides the SIMD characteristics of ...
Definition: SIMDTrait.h:296
#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
DMatDeclLowExpr(const MT &dm) noexcept
Constructor for the DMatDeclLowExpr class.
Definition: DMatDeclLowExpr.h:199
Compile time check for Hermitian matrices.This type trait tests whether or not the given template par...
Definition: IsHermitian.h:85
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: DMatDeclLowExpr.h:167
Header file for the HasMember type traits.
If_< RequiresEvaluation< MT >, const ResultType, const DMatDeclLowExpr &> CompositeType
Data type for composite expression templates.
Definition: DMatDeclLowExpr.h:172
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
typename GetConstIterator< MT >::Type ConstIterator
Iterator over the elements of the dense matrix.
Definition: DMatDeclLowExpr.h:175
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: DMatDeclLowExpr.h:292
Header file for the implementation of the base template of the LowerMatrix.
Header file for the IntegralConstant class template.
Compile time evaluation of the number of columns of a matrix.The Columns type trait evaluates the num...
Definition: Columns.h:75
Compile time evaluation of the number of rows of a matrix.The Rows type trait evaluates the number of...
Definition: Rows.h:75
Operand dm_
Dense matrix of the decllow expression.
Definition: DMatDeclLowExpr.h:363
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.
Header file for the IsHermitian type trait.
BLAZE_ALWAYS_INLINE bool isSquare(const Matrix< MT, SO > &matrix) noexcept
Checks if the given matrix is a square matrix.
Definition: Matrix.h:742
LeftOperand leftOperand() const noexcept
Returns the left-hand side dense matrix operand.
Definition: DMatScalarMultExpr.h:557
const ElementType * data() const noexcept
Low-level data access to the matrix elements.
Definition: DMatDeclLowExpr.h:260
#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: DMatDeclLowExpr.h:166
Header file for the TrueType type/value trait base class.
Header file for the IsExpression type trait class.
Header file for the function trace functionality.