35 #ifndef _BLAZE_MATH_EXPRESSIONS_DMATSMATSUBEXPR_H_
36 #define _BLAZE_MATH_EXPRESSIONS_DMATSMATSUBEXPR_H_
102 template<
typename MT1
137 template<
typename MT >
138 struct UseSMPAssign {
139 enum { value = ( !MT1::smpAssignable || !MT2::smpAssignable ) };
167 enum { vectorizable = 0 };
170 enum { smpAssignable = 0 };
210 inline ReturnType
at(
size_t i,
size_t j )
const {
211 if( i >=
lhs_.rows() ) {
214 if( j >=
lhs_.columns() ) {
237 return lhs_.columns();
267 template<
typename T >
270 (
rhs_.canAlias( alias ) );
280 template<
typename T >
282 return (
lhs_.isAliased( alias ) ||
rhs_.isAliased( alias ) );
304 template<
typename MT
314 subAssign( ~lhs, rhs.
rhs_ );
317 assign ( ~lhs, rhs.
lhs_ );
318 subAssign( ~lhs, rhs.
rhs_ );
336 template<
typename MT
354 const TmpType tmp(
serial( rhs ) );
372 template<
typename MT
374 friend inline void addAssign( DenseMatrix<MT,SO2>& lhs,
const DMatSMatSubExpr& rhs )
381 addAssign( ~lhs, rhs.lhs_ );
382 subAssign( ~lhs, rhs.rhs_ );
403 template<
typename MT
405 friend inline void subAssign( DenseMatrix<MT,SO2>& lhs,
const DMatSMatSubExpr& rhs )
412 subAssign( ~lhs, rhs.lhs_ );
413 addAssign( ~lhs, rhs.rhs_ );
444 template<
typename MT
446 friend inline typename EnableIf< UseSMPAssign<MT> >::Type
454 if( !IsExpression<MT1>::value &&
isSame( ~lhs, rhs.lhs_ ) ) {
479 template<
typename MT
481 friend inline typename EnableIf< UseSMPAssign<MT> >::Type
486 typedef typename SelectType< SO == SO2, ResultType, OppositeType >::Type TmpType;
498 const TmpType tmp( rhs );
518 template<
typename MT
520 friend inline typename EnableIf< UseSMPAssign<MT> >::Type
552 template<
typename MT
554 friend inline typename EnableIf< UseSMPAssign<MT> >::Type
629 template<
typename T1
632 inline const DMatSMatSubExpr<T1,T2,SO>
667 template<
typename T1
672 inline const typename AddExprTrait< DMatSMatSubExpr<T1,T2,SO1>, T3 >::Type
673 operator+(
const DMatSMatSubExpr<T1,T2,SO1>& lhs,
const DenseMatrix<T3,SO2>& rhs )
677 return ( lhs.leftOperand() + (~rhs) ) - lhs.rightOperand();
696 template<
typename T1
701 inline const typename SubExprTrait< DMatSMatSubExpr<T1,T2,SO1>, T3 >::Type
702 operator-(
const DMatSMatSubExpr<T1,T2,SO1>& lhs,
const DenseMatrix<T3,SO2>& rhs )
706 return ( lhs.leftOperand() - (~rhs) ) - lhs.rightOperand();
722 template<
typename MT1,
typename MT2,
bool SO >
724 :
public Max< Rows<MT1>, Rows<MT2> >
740 template<
typename MT1,
typename MT2,
bool SO >
742 :
public Max< Columns<MT1>, Columns<MT2> >
758 template<
typename MT1,
typename MT2,
bool SO >
760 :
public IsTrue< IsSymmetric<MT1>::value && IsSymmetric<MT2>::value >
776 template<
typename MT1,
typename MT2,
bool SO >
778 :
public IsTrue< IsHermitian<MT1>::value && IsHermitian<MT2>::value >
794 template<
typename MT1,
typename MT2,
bool SO >
796 :
public IsTrue< And< IsLower<MT1>, IsLower<MT2> >::value >
812 template<
typename MT1,
typename MT2,
bool SO >
814 :
public IsTrue< And< IsUniLower<MT1>, IsStrictlyLower<MT2> >::value >
830 template<
typename MT1,
typename MT2,
bool SO >
832 :
public IsTrue< And< IsStrictlyLower<MT1>, IsStrictlyLower<MT2> >::value >
848 template<
typename MT1,
typename MT2,
bool SO >
850 :
public IsTrue< And< IsUpper<MT1>, IsUpper<MT2> >::value >
866 template<
typename MT1,
typename MT2,
bool SO >
868 :
public IsTrue< And< IsUniUpper<MT1>, IsStrictlyUpper<MT2> >::value >
884 template<
typename MT1,
typename MT2,
bool SO >
886 :
public IsTrue< And< IsStrictlyUpper<MT1>, IsStrictlyUpper<MT2> >::value >
902 template<
typename MT1,
typename MT2,
typename MT3 >
908 typedef typename SelectType< IsDenseMatrix<MT1>::value && IsRowMajorMatrix<MT1>::value &&
909 IsSparseMatrix<MT2>::value && IsRowMajorMatrix<MT2>::value &&
910 IsDenseMatrix<MT3>::value && IsRowMajorMatrix<MT3>::value
911 ,
typename DMatSMatSubExprTrait< typename DMatDMatAddExprTrait<MT1,MT3>::Type, MT2 >::Type
912 , INVALID_TYPE >::Type Type;
922 template<
typename MT1,
typename MT2,
typename MT3 >
928 typedef typename SelectType< IsDenseMatrix<MT1>::value && IsRowMajorMatrix<MT1>::value &&
929 IsSparseMatrix<MT2>::value && IsRowMajorMatrix<MT2>::value &&
930 IsDenseMatrix<MT3>::value && IsColumnMajorMatrix<MT3>::value
931 ,
typename DMatSMatSubExprTrait< typename DMatTDMatAddExprTrait<MT1,MT3>::Type, MT2 >::Type
932 , INVALID_TYPE >::Type Type;
942 template<
typename MT1,
typename MT2,
typename MT3 >
948 typedef typename SelectType< IsDenseMatrix<MT1>::value && IsColumnMajorMatrix<MT1>::value &&
949 IsSparseMatrix<MT2>::value && IsColumnMajorMatrix<MT2>::value &&
950 IsDenseMatrix<MT3>::value && IsRowMajorMatrix<MT3>::value
951 ,
typename DMatTSMatSubExprTrait< typename TDMatDMatAddExprTrait<MT1,MT3>::Type, MT2 >::Type
952 , INVALID_TYPE >::Type Type;
962 template<
typename MT1,
typename MT2,
typename MT3 >
968 typedef typename SelectType< IsDenseMatrix<MT1>::value && IsColumnMajorMatrix<MT1>::value &&
969 IsSparseMatrix<MT2>::value && IsColumnMajorMatrix<MT2>::value &&
970 IsDenseMatrix<MT3>::value && IsColumnMajorMatrix<MT3>::value
971 ,
typename TDMatTSMatSubExprTrait< typename TDMatTDMatAddExprTrait<MT1,MT3>::Type, MT2 >::Type
972 , INVALID_TYPE >::Type Type;
982 template<
typename MT1,
typename MT2,
typename MT3 >
988 typedef typename SelectType< IsDenseMatrix<MT1>::value && IsRowMajorMatrix<MT1>::value &&
989 IsSparseMatrix<MT2>::value && IsRowMajorMatrix<MT2>::value &&
990 IsDenseMatrix<MT3>::value && IsRowMajorMatrix<MT3>::value
991 ,
typename DMatSMatSubExprTrait< typename DMatDMatSubExprTrait<MT1,MT3>::Type, MT2 >::Type
992 , INVALID_TYPE >::Type Type;
1002 template<
typename MT1,
typename MT2,
typename MT3 >
1008 typedef typename SelectType< IsDenseMatrix<MT1>::value && IsRowMajorMatrix<MT1>::value &&
1009 IsSparseMatrix<MT2>::value && IsRowMajorMatrix<MT2>::value &&
1010 IsDenseMatrix<MT3>::value && IsColumnMajorMatrix<MT3>::value
1011 ,
typename DMatSMatSubExprTrait< typename DMatTDMatSubExprTrait<MT1,MT3>::Type, MT2 >::Type
1012 , INVALID_TYPE >::Type Type;
1022 template<
typename MT1,
typename MT2,
typename MT3 >
1028 typedef typename SelectType< IsDenseMatrix<MT1>::value && IsColumnMajorMatrix<MT1>::value &&
1029 IsSparseMatrix<MT2>::value && IsColumnMajorMatrix<MT2>::value &&
1030 IsDenseMatrix<MT3>::value && IsRowMajorMatrix<MT3>::value
1031 ,
typename DMatTSMatSubExprTrait< typename TDMatDMatSubExprTrait<MT1,MT3>::Type, MT2 >::Type
1032 , INVALID_TYPE >::Type Type;
1042 template<
typename MT1,
typename MT2,
typename MT3 >
1048 typedef typename SelectType< IsDenseMatrix<MT1>::value && IsColumnMajorMatrix<MT1>::value &&
1049 IsSparseMatrix<MT2>::value && IsColumnMajorMatrix<MT2>::value &&
1050 IsDenseMatrix<MT3>::value && IsColumnMajorMatrix<MT3>::value
1051 ,
typename TDMatTSMatSubExprTrait< typename TDMatTDMatSubExprTrait<MT1,MT3>::Type, MT2 >::Type
1052 , INVALID_TYPE >::Type Type;
1062 template<
typename MT1,
typename MT2,
bool SO,
bool AF >
1067 typedef typename SubExprTrait< typename SubmatrixExprTrait<const MT1,AF>::Type
1068 ,
typename SubmatrixExprTrait<const MT2,AF>::Type >::Type Type;
1077 template<
typename MT1,
typename MT2,
bool SO >
1082 typedef typename SubExprTrait< typename RowExprTrait<const MT1>::Type
1083 ,
typename RowExprTrait<const MT2>::Type >::Type Type;
1092 template<
typename MT1,
typename MT2,
bool SO >
1097 typedef typename SubExprTrait< typename ColumnExprTrait<const MT1>::Type
1098 ,
typename ColumnExprTrait<const MT2>::Type >::Type Type;
Constraint on the data type.
#define BLAZE_THROW_INVALID_ARGUMENT(MESSAGE)
Macro for the emission of a std::invalid_argument exceptionThis macro encapsulates the default way of...
Definition: Exception.h:187
RightOperand rhs_
Right-hand side sparse matrix of the subtraction expression.
Definition: DMatSMatSubExpr.h:289
Header file for the Max class template.
MT2::ReturnType RN2
Return type of the right-hand side sparse matrix expression.
Definition: DMatSMatSubExpr.h:114
Compile time check whether the given type is a temporary vector or matrix type.This type trait class ...
Definition: IsTemporary.h:87
Header file for the Rows type trait.
Header file for the IsUniUpper type trait.
Header file for the subtraction trait.
Header file for basic type definitions.
SubTrait< RT1, RT2 >::Type ResultType
Result type for expression template evaluations.
Definition: DMatSMatSubExpr.h:147
Header file for the IsSparseMatrix type trait.
ResultType::ElementType ElementType
Resulting element type.
Definition: DMatSMatSubExpr.h:150
#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:81
Efficient implementation of a compressed matrix.The CompressedMatrix class template is the represent...
Definition: CompressedMatrix.h:207
#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:79
BLAZE_ALWAYS_INLINE bool isSame(const Matrix< MT1, SO1 > &a, const Matrix< MT2, SO2 > &b)
Returns whether the two given matrices represent the same observable state.
Definition: Matrix.h:647
Header file for the ColumnExprTrait class template.
Header file for the IsColumnMajorMatrix type trait.
MT2::ResultType RT2
Result type of the right-hand side sparse matrix expression.
Definition: DMatSMatSubExpr.h:112
const This & CompositeType
Data type for composite expression templates.
Definition: CompressedMatrix.h:2588
Type ElementType
Type of the sparse matrix elements.
Definition: CompressedMatrix.h:259
Header file for the And class template.
Header file for the AddExprTrait class template.
const DMatSerialExpr< MT, SO > serial(const DenseMatrix< MT, SO > &dm)
Forces the serial evaluation of the given dense matrix expression dm.
Definition: DMatSerialExpr.h:721
Header file for the Computation base class.
bool canAlias(const T *alias) const
Returns whether the expression can alias with the given address alias.
Definition: DMatSMatSubExpr.h:268
Header file for the IsUniLower type trait.
Base class for dense matrices.The DenseMatrix class is a base class for all dense matrix classes...
Definition: DenseMatrix.h:70
Base class for sparse matrices.The SparseMatrix class is a base class for all sparse matrix classes...
Definition: Forward.h:117
Constraint on the data type.
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: DMatSMatSubExpr.h:195
Constraint on the data type.
Constraint on the data type.
Compile time type selection.The SelectType class template selects one of the two given types T1 and T...
Definition: SelectType.h:59
Header file for the IsTemporary type trait class.
Header file for the IsStrictlyUpper type trait.
LeftOperand lhs_
Left-hand side dense matrix of the subtraction expression.
Definition: DMatSMatSubExpr.h:288
Header file for the IsSymmetric type trait.
Base class for all matrix/matrix subtraction expression templates.The MatMatSubExpr class serves as a...
Definition: MatMatSubExpr.h:65
Namespace of the Blaze C++ math library.
Definition: Blaze.h:57
#define BLAZE_THROW_OUT_OF_RANGE(MESSAGE)
Macro for the emission of a std::out_of_range exceptionThis macro encapsulates the default way of Bla...
Definition: Exception.h:331
DMatSMatSubExpr(const MT1 &lhs, const MT2 &rhs)
Constructor for the DMatSMatSubExpr class.
Definition: DMatSMatSubExpr.h:179
const DenseIterator< Type, AF > operator+(const DenseIterator< Type, AF > &it, ptrdiff_t inc)
Addition between a DenseIterator and an integral value.
Definition: DenseIterator.h:610
Header file for the DenseMatrix base class.
Header file for the Columns type trait.
Header file for the MatMatSubExpr base class.
const ResultType CompositeType
Data type for composite expression templates.
Definition: DMatSMatSubExpr.h:156
Header file for the IsLower type trait.
const DenseIterator< Type, AF > operator-(const DenseIterator< Type, AF > &it, ptrdiff_t inc)
Subtraction between a DenseIterator and an integral value.
Definition: DenseIterator.h:642
size_t columns() const
Returns the current number of columns of the matrix.
Definition: DMatSMatSubExpr.h:236
#define BLAZE_CONSTRAINT_MUST_BE_REFERENCE_TYPE(T)
Constraint on the data type.In case the given data type T is not a reference type, a compilation error is created.
Definition: Reference.h:78
Constraints on the storage order of matrix types.
Evaluation of the return type of a subtraction expression.Via this type trait it is possible to evalu...
Definition: SubExprTrait.h:104
MT1::ReturnType RN1
Return type of the left-hand side dense matrix expression.
Definition: DMatSMatSubExpr.h:113
Header file for the SelectType class template.
Header file for the RowExprTrait class template.
Header file for all forward declarations for expression class templates.
Header file for the IsDenseMatrix type trait.
Header file for the EnableIf class template.
Header file for the IsStrictlyLower type trait.
bool isAliased(const T *alias) const
Returns whether the expression is aliased with the given address alias.
Definition: DMatSMatSubExpr.h:281
Header file for the serial shim.
SelectType< IsExpression< MT2 >::value, const MT2, const MT2 & >::Type RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: DMatSMatSubExpr.h:162
EnableIf< IsDenseMatrix< MT1 > >::Type smpSubAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the SMP subtraction assignment of a matrix to dense matrix.
Definition: DenseMatrix.h:160
Header file for the SubmatrixExprTrait class template.
const Type & ReturnType
Return type for expression template evaluations.
Definition: CompressedMatrix.h:2587
ResultType::OppositeType OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: DMatSMatSubExpr.h:148
DMatSMatSubExpr< MT1, MT2, SO > This
Type of this DMatSMatSubExpr instance.
Definition: DMatSMatSubExpr.h:146
Header file for run time assertion macros.
EnableIf< IsDenseMatrix< MT1 > >::Type smpAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the SMP assignment of a matrix to a dense matrix.
Definition: DenseMatrix.h:98
Expression object for dense matrix-sparse matrix subtractions.The DMatSMatSubExpr class represents th...
Definition: DMatSMatSubExpr.h:105
Utility type for generic codes.
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: DMatSMatSubExpr.h:210
ResultType::TransposeType TransposeType
Transpose type for expression template evaluations.
Definition: DMatSMatSubExpr.h:149
SubExprTrait< RN1, RN2 >::Type ExprReturnType
Expression return type for the subscript operator.
Definition: DMatSMatSubExpr.h:127
RightOperand rightOperand() const
Returns the right-hand side dense matrix operand.
Definition: DMatSMatSubExpr.h:256
MT1::ResultType RT1
Result type of the left-hand side dense matrix expression.
Definition: DMatSMatSubExpr.h:111
SelectType< IsExpression< MT1 >::value, const MT1, const MT1 & >::Type LeftOperand
Composite type of the left-hand side dense matrix expression.
Definition: DMatSMatSubExpr.h:159
LeftOperand leftOperand() const
Returns the left-hand side dense matrix operand.
Definition: DMatSMatSubExpr.h:246
#define BLAZE_CONSTRAINT_MATRICES_MUST_HAVE_SAME_STORAGE_ORDER(T1, T2)
Constraint on the data type.In case either of the two given data types T1 or T2 is not a matrix type ...
Definition: StorageOrder.h:122
Header file for the IsRowMajorMatrix type trait.
Base class for all compute expression templates.The Computation class serves as a tag for all computa...
Definition: Computation.h:59
EnableIf< IsDenseMatrix< MT1 > >::Type smpAddAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the SMP addition assignment of a matrix to a dense matrix.
Definition: DenseMatrix.h:129
#define BLAZE_FUNCTION_TRACE
Function trace macro.This macro can be used to reliably trace function calls. In case function tracin...
Definition: FunctionTrace.h:157
This ResultType
Result type for expression template evaluations.
Definition: CompressedMatrix.h:2583
Header file for the IsTrue value trait.
#define BLAZE_CONSTRAINT_MUST_FORM_VALID_MATMATSUBEXPR(T1, T2)
Constraint on the data type.In case the given data types T1 and T2 do not form a valid matrix/matrix ...
Definition: MatMatSubExpr.h:165
Base template for the SubTrait class.
Definition: SubTrait.h:138
Header file for the IsUpper type trait.
Header file for exception macros.
Header file for the IsHermitian type trait.
Header file for the SubExprTrait class template.
const SelectType< returnExpr, ExprReturnType, ElementType >::Type ReturnType
Return type for expression template evaluations.
Definition: DMatSMatSubExpr.h:153
#define BLAZE_INTERNAL_ASSERT(expr, msg)
Run time assertion macro for internal checks.In case of an invalid run time expression, the program execution is terminated. The BLAZE_INTERNAL_ASSERT macro can be disabled by setting the BLAZE_USER_ASSERTION flag to zero or by defining NDEBUG during the compilation.
Definition: Assert.h:101
#define BLAZE_CONSTRAINT_MUST_BE_SPARSE_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is not a sparse, N-dimensional matrix type...
Definition: SparseMatrix.h:79
Compile time check whether the given type is an expression template.This type trait class tests wheth...
Definition: IsExpression.h:87
size_t rows() const
Returns the current number of rows of the matrix.
Definition: DMatSMatSubExpr.h:226
Header file for the IsExpression type trait class.
Header file for the FunctionTrace class.