35 #ifndef _BLAZE_MATH_EXPRESSIONS_TDMATSMATSUBEXPR_H_
36 #define _BLAZE_MATH_EXPRESSIONS_TDMATSMATSUBEXPR_H_
102 template<
typename MT1
104 class TDMatSMatSubExpr :
public DenseMatrix< TDMatSMatSubExpr<MT1,MT2>, true >
105 ,
private MatMatSubExpr
106 ,
private Computation
136 template<
typename MT >
137 struct UseSMPAssign {
138 enum { value = ( !MT1::smpAssignable || !MT2::smpAssignable ) };
166 enum { vectorizable = 0 };
169 enum { smpAssignable = 0 };
209 inline ReturnType
at(
size_t i,
size_t j )
const {
210 if( i >=
lhs_.rows() ) {
213 if( j >=
lhs_.columns() ) {
236 return lhs_.columns();
266 template<
typename T >
269 (
rhs_.canAlias( alias ) );
279 template<
typename T >
281 return (
lhs_.isAliased( alias ) ||
rhs_.isAliased( alias ) );
303 template<
typename MT
313 subAssign( ~lhs, rhs.rhs_ );
316 assign ( ~lhs, rhs.lhs_ );
317 subAssign( ~lhs, rhs.rhs_ );
335 template<
typename MT
353 const TmpType tmp(
serial( rhs ) );
372 template<
typename MT
374 friend inline void addAssign( DenseMatrix<MT,SO2>& lhs,
const TDMatSMatSubExpr& rhs )
381 addAssign( ~lhs, rhs.lhs_ );
382 subAssign( ~lhs, rhs.rhs_ );
404 template<
typename MT
406 friend inline void subAssign( DenseMatrix<MT,SO2>& lhs,
const TDMatSMatSubExpr& rhs )
413 subAssign( ~lhs, rhs.lhs_ );
414 addAssign( ~lhs, rhs.rhs_ );
445 template<
typename MT
447 friend inline typename EnableIf< UseSMPAssign<MT> >::Type
455 if( !IsExpression<MT1>::value &&
isSame( ~lhs, rhs.lhs_ ) ) {
480 template<
typename MT
482 friend inline typename EnableIf< UseSMPAssign<MT> >::Type
487 typedef typename SelectType< SO2, ResultType, OppositeType >::Type TmpType;
499 const TmpType tmp( rhs );
520 template<
typename MT
522 friend inline typename EnableIf< UseSMPAssign<MT> >::Type
555 template<
typename MT
557 friend inline typename EnableIf< UseSMPAssign<MT> >::Type
635 template<
typename T1
637 inline const TDMatSMatSubExpr<T1,T2>
672 template<
typename T1
676 inline const typename AddExprTrait< TDMatSMatSubExpr<T1,T2>, T3 >::Type
677 operator+(
const TDMatSMatSubExpr<T1,T2>& lhs,
const DenseMatrix<T3,SO>& rhs )
681 return ( lhs.leftOperand() + (~rhs) ) - lhs.rightOperand();
700 template<
typename T1
704 inline const typename SubExprTrait< TDMatSMatSubExpr<T1,T2>, T3 >::Type
705 operator-(
const TDMatSMatSubExpr<T1,T2>& lhs,
const DenseMatrix<T3,SO>& rhs )
709 return ( lhs.leftOperand() - (~rhs) ) - lhs.rightOperand();
725 template<
typename MT1,
typename MT2 >
727 :
public Max< Rows<MT1>, Rows<MT2> >
743 template<
typename MT1,
typename MT2 >
745 :
public Max< Columns<MT1>, Columns<MT2> >
761 template<
typename MT1,
typename MT2 >
763 :
public IsTrue< IsSymmetric<MT1>::value && IsSymmetric<MT2>::value >
779 template<
typename MT1,
typename MT2 >
781 :
public IsTrue< IsHermitian<MT1>::value && IsHermitian<MT2>::value >
797 template<
typename MT1,
typename MT2 >
799 :
public IsTrue< And< IsLower<MT1>, IsLower<MT2> >::value >
815 template<
typename MT1,
typename MT2 >
817 :
public IsTrue< And< IsUniLower<MT1>, IsStrictlyLower<MT2> >::value >
833 template<
typename MT1,
typename MT2 >
835 :
public IsTrue< And< IsStrictlyLower<MT1>, IsStrictlyLower<MT2> >::value >
851 template<
typename MT1,
typename MT2 >
853 :
public IsTrue< And< IsUpper<MT1>, IsUpper<MT2> >::value >
869 template<
typename MT1,
typename MT2 >
871 :
public IsTrue< And< IsUniUpper<MT1>, IsStrictlyUpper<MT2> >::value >
887 template<
typename MT1,
typename MT2 >
889 :
public IsTrue< And< IsStrictlyUpper<MT1>, IsStrictlyUpper<MT2> >::value >
905 template<
typename MT1,
typename MT2,
typename MT3 >
911 typedef typename SelectType< IsDenseMatrix<MT1>::value && IsColumnMajorMatrix<MT1>::value &&
912 IsSparseMatrix<MT2>::value && IsRowMajorMatrix<MT2>::value &&
913 IsDenseMatrix<MT3>::value && IsRowMajorMatrix<MT3>::value
914 ,
typename DMatSMatSubExprTrait< typename TDMatDMatAddExprTrait<MT1,MT3>::Type, MT2 >::Type
915 , INVALID_TYPE >::Type Type;
925 template<
typename MT1,
typename MT2,
typename MT3 >
931 typedef typename SelectType< IsDenseMatrix<MT1>::value && IsColumnMajorMatrix<MT1>::value &&
932 IsSparseMatrix<MT2>::value && IsRowMajorMatrix<MT2>::value &&
933 IsDenseMatrix<MT3>::value && IsColumnMajorMatrix<MT3>::value
934 ,
typename TDMatSMatSubExprTrait< typename TDMatTDMatAddExprTrait<MT1,MT3>::Type, MT2 >::Type
935 , INVALID_TYPE >::Type Type;
945 template<
typename MT1,
typename MT2,
typename MT3 >
951 typedef typename SelectType< IsDenseMatrix<MT1>::value && IsColumnMajorMatrix<MT1>::value &&
952 IsSparseMatrix<MT2>::value && IsRowMajorMatrix<MT2>::value &&
953 IsDenseMatrix<MT3>::value && IsRowMajorMatrix<MT3>::value
954 ,
typename DMatSMatSubExprTrait< typename TDMatDMatSubExprTrait<MT1,MT3>::Type, MT2 >::Type
955 , INVALID_TYPE >::Type Type;
965 template<
typename MT1,
typename MT2,
typename MT3 >
971 typedef typename SelectType< IsDenseMatrix<MT1>::value && IsColumnMajorMatrix<MT1>::value &&
972 IsSparseMatrix<MT2>::value && IsRowMajorMatrix<MT2>::value &&
973 IsDenseMatrix<MT3>::value && IsColumnMajorMatrix<MT3>::value
974 ,
typename TDMatSMatSubExprTrait< typename TDMatTDMatSubExprTrait<MT1,MT3>::Type, MT2 >::Type
975 , INVALID_TYPE >::Type Type;
985 template<
typename MT1,
typename MT2,
bool AF >
990 typedef typename SubExprTrait< typename SubmatrixExprTrait<const MT1,AF>::Type
991 ,
typename SubmatrixExprTrait<const MT2,AF>::Type >::Type Type;
1000 template<
typename MT1,
typename MT2 >
1005 typedef typename SubExprTrait< typename RowExprTrait<const MT1>::Type
1006 ,
typename RowExprTrait<const MT2>::Type >::Type Type;
1015 template<
typename MT1,
typename MT2 >
1020 typedef typename SubExprTrait< typename ColumnExprTrait<const MT1>::Type
1021 ,
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
Header file for the Max class template.
LeftOperand lhs_
Left-hand side dense matrix of the subtraction expression.
Definition: TDMatSMatSubExpr.h:287
size_t columns() const
Returns the current number of columns of the matrix.
Definition: TDMatSMatSubExpr.h:235
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.
const ResultType CompositeType
Data type for composite expression templates.
Definition: TDMatSMatSubExpr.h:155
SelectType< IsExpression< MT2 >::value, const MT2, const MT2 & >::Type RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: TDMatSMatSubExpr.h:161
Efficient implementation of a compressed matrix.The CompressedMatrix class template is the represent...
Definition: CompressedMatrix.h:207
SubExprTrait< RN1, RN2 >::Type ExprReturnType
Expression return type for the subscript operator.
Definition: TDMatSMatSubExpr.h:126
#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.
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
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: TDMatSMatSubExpr.h:194
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.
Constraints on the storage order of matrix types.
bool isAliased(const T *alias) const
Returns whether the expression is aliased with the given address alias.
Definition: TDMatSMatSubExpr.h:280
Header file for the IsUniLower type trait.
MT1::ResultType RT1
Result type of the left-hand side dense matrix expression.
Definition: TDMatSMatSubExpr.h:110
LeftOperand leftOperand() const
Returns the left-hand side transpose dense matrix operand.
Definition: TDMatSMatSubExpr.h:245
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.
Constraint on the data type.
Constraint on the data type.
SubTrait< RT1, RT2 >::Type ResultType
Result type for expression template evaluations.
Definition: TDMatSMatSubExpr.h:146
RightOperand rhs_
Right-hand side sparse matrix of the subtraction expression.
Definition: TDMatSMatSubExpr.h:288
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.
MT2::ReturnType RN2
Return type of the right-hand side sparse matrix expression.
Definition: TDMatSMatSubExpr.h:113
Header file for the IsSymmetric type trait.
Namespace of the Blaze C++ math library.
Definition: Blaze.h:57
#define BLAZE_CONSTRAINT_MUST_BE_COLUMN_MAJOR_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is not a column-major dense or sparse matri...
Definition: ColumnMajorMatrix.h:79
ResultType::ElementType ElementType
Resulting element type.
Definition: TDMatSMatSubExpr.h:149
#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
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.
TDMatSMatSubExpr< MT1, MT2 > This
Type of this TDMatSMatSubExpr instance.
Definition: TDMatSMatSubExpr.h:145
size_t rows() const
Returns the current number of rows of the matrix.
Definition: TDMatSMatSubExpr.h:225
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
#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
const SelectType< returnExpr, ExprReturnType, ElementType >::Type ReturnType
Return type for expression template evaluations.
Definition: TDMatSMatSubExpr.h:152
MT2::ResultType RT2
Result type of the right-hand side sparse matrix expression.
Definition: TDMatSMatSubExpr.h:111
MT1::ReturnType RN1
Return type of the left-hand side dense matrix expression.
Definition: TDMatSMatSubExpr.h:112
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
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: TDMatSMatSubExpr.h:209
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 EnableIf class template.
Header file for the IsStrictlyLower type trait.
Header file for the serial shim.
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
bool canAlias(const T *alias) const
Returns whether the expression can alias with the given address alias.
Definition: TDMatSMatSubExpr.h:267
Header file for the SubmatrixExprTrait class template.
#define BLAZE_CONSTRAINT_MUST_BE_ROW_MAJOR_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is not a row-major dense or sparse matrix t...
Definition: RowMajorMatrix.h:79
const Type & ReturnType
Return type for expression template evaluations.
Definition: CompressedMatrix.h:2587
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
Utility type for generic codes.
SelectType< IsExpression< MT1 >::value, const MT1, const MT1 & >::Type LeftOperand
Composite type of the left-hand side dense matrix expression.
Definition: TDMatSMatSubExpr.h:158
Constraints on the storage order of matrix types.
#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
ResultType::TransposeType TransposeType
Transpose type for expression template evaluations.
Definition: TDMatSMatSubExpr.h:148
Header file for the IsRowMajorMatrix type trait.
ResultType::OppositeType OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: TDMatSMatSubExpr.h:147
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
TDMatSMatSubExpr(const MT1 &lhs, const MT2 &rhs)
Constructor for the TDMatSMatSubExpr class.
Definition: TDMatSMatSubExpr.h:178
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.
RightOperand rightOperand() const
Returns the right-hand side sparse matrix operand.
Definition: TDMatSMatSubExpr.h:255
#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
Expression object for transpose dense matrix-sparse matrix subtractions.The TDMatSMatSubExpr class re...
Definition: Forward.h:142
#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
Header file for the IsExpression type trait class.
Header file for the FunctionTrace class.