35 #ifndef _BLAZE_MATH_EXPRESSIONS_SMATTRANSEXPR_H_
36 #define _BLAZE_MATH_EXPRESSIONS_SMATTRANSEXPR_H_
105 template<
typename MT
107 class SMatTransExpr :
public SparseMatrix< SMatTransExpr<MT,SO>, SO >
108 ,
private MatTransExpr
109 ,
private If< IsComputation<MT>, Computation, EmptyType >::Type
128 template<
typename MT2 >
131 enum :
bool { value = useAssign };
143 template<
typename MT2 >
144 struct UseSMPAssign {
145 enum :
bool { value = MT2::smpAssignable && useAssign };
177 typedef typename std::iterator_traits<IteratorType>::value_type
ValueType;
178 typedef typename std::iterator_traits<IteratorType>::pointer
PointerType;
179 typedef typename std::iterator_traits<IteratorType>::reference
ReferenceType;
180 typedef typename std::iterator_traits<IteratorType>::difference_type
DifferenceType;
291 enum :
bool { smpAssignable = MT::smpAssignable };
326 inline ReturnType
at(
size_t i,
size_t j )
const {
327 if( i >=
sm_.columns() ) {
330 if( j >=
sm_.rows() ) {
364 inline size_t rows() const noexcept {
365 return sm_.columns();
385 return sm_.nonZeros();
396 return sm_.nonZeros( i );
409 return sm_.find( j, i );
422 return sm_.lowerBound( j, i );
435 return sm_.upperBound( j, i );
455 template<
typename T >
456 inline bool canAlias(
const T* alias )
const noexcept {
457 return sm_.isAliased( alias );
467 template<
typename T >
468 inline bool isAliased(
const T* alias )
const noexcept {
469 return sm_.isAliased( alias );
479 return sm_.canSMPAssign();
502 template<
typename MT2
513 assign( tmp, rhs.sm_ );
532 template<
typename MT2
543 assign( tmp, rhs.sm_ );
562 template<
typename MT2
564 friend inline EnableIf_< UseAssign<MT2> >
565 addAssign( DenseMatrix<MT2,SO2>& lhs,
const SMatTransExpr& rhs )
572 DMatTransposer<MT2,!SO2> tmp( ~lhs );
573 addAssign( tmp, rhs.sm_ );
596 template<
typename MT2
598 friend inline EnableIf_< UseAssign<MT2> >
599 subAssign( DenseMatrix<MT2,SO2>& lhs,
const SMatTransExpr& rhs )
606 DMatTransposer<MT2,!SO2> tmp( ~lhs );
607 subAssign( tmp, rhs.sm_ );
638 template<
typename MT2
640 friend inline EnableIf_< UseSMPAssign<MT2> >
648 DMatTransposer<MT2,!SO2> tmp( ~lhs );
668 template<
typename MT2
670 friend inline EnableIf_< UseSMPAssign<MT2> >
678 SMatTransposer<MT2,!SO2> tmp( ~lhs );
698 template<
typename MT2
700 friend inline EnableIf_< UseSMPAssign<MT2> >
708 DMatTransposer<MT2,!SO2> tmp( ~lhs );
733 template<
typename MT2
735 friend inline EnableIf_< UseSMPAssign<MT2> >
743 DMatTransposer<MT2,!SO2> tmp( ~lhs );
798 template<
typename MT
837 template<
typename MT
839 inline typename SMatTransExpr<MT,SO>::Operand
trans(
const SMatTransExpr<MT,SO>& sm )
859 template<
typename MT,
bool SO >
860 struct Rows< SMatTransExpr<MT,SO> > :
public Columns<MT>
876 template<
typename MT,
bool SO >
877 struct Columns< SMatTransExpr<MT,SO> > :
public Rows<MT>
893 template<
typename MT,
bool SO >
894 struct IsSymmetric< SMatTransExpr<MT,SO> >
911 template<
typename MT,
bool SO >
912 struct IsHermitian< SMatTransExpr<MT,SO> >
929 template<
typename MT,
bool SO >
930 struct IsLower< SMatTransExpr<MT,SO> >
947 template<
typename MT,
bool SO >
948 struct IsUniLower< SMatTransExpr<MT,SO> >
965 template<
typename MT,
bool SO >
966 struct IsStrictlyLower< SMatTransExpr<MT,SO> >
983 template<
typename MT,
bool SO >
984 struct IsUpper< SMatTransExpr<MT,SO> >
1001 template<
typename MT,
bool SO >
1002 struct IsUniUpper< SMatTransExpr<MT,SO> >
1019 template<
typename MT,
bool SO >
1020 struct IsStrictlyUpper< SMatTransExpr<MT,SO> >
1037 template<
typename MT >
1038 struct SMatTransExprTrait< SMatTransExpr<MT,false> >
1042 using Type = If_< And< IsSparseMatrix<MT>, IsColumnMajorMatrix<MT> >
1043 , Operand_< SMatTransExpr<MT,false> >
1053 template<
typename MT >
1054 struct TSMatTransExprTrait< SMatTransExpr<MT,true> >
1058 using Type = If_< And< IsSparseMatrix<MT>, IsRowMajorMatrix<MT> >
1059 , Operand_< SMatTransExpr<MT,true> >
1069 template<
typename MT,
bool SO,
bool AF >
1070 struct SubmatrixExprTrait< SMatTransExpr<MT,SO>, AF >
1074 using Type = TransExprTrait_< SubmatrixExprTrait_<const MT,AF> >;
1083 template<
typename MT,
bool SO >
1084 struct RowExprTrait< SMatTransExpr<MT,SO> >
1088 using Type = TransExprTrait_< ColumnExprTrait_<const MT> >;
1097 template<
typename MT,
bool SO >
1098 struct ColumnExprTrait< SMatTransExpr<MT,SO> >
1102 using Type = TransExprTrait_< RowExprTrait_<const MT> >;
ReturnType value() const
Access to the current value of the sparse element.
Definition: SMatTransExpr.h:234
size_t nonZeros() const
Returns the number of non-zero elements in the sparse matrix.
Definition: SMatTransExpr.h:384
Header file for the sparse matrix transposer.
Header file for auxiliary alias declarations.
Header file for the Rows type trait.
Header file for the IsUniUpper type trait.
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: SMatTransExpr.h:374
ConstIterator(IteratorType it)
Constructor for the ConstIterator class.
Definition: SMatTransExpr.h:193
Header file for basic type definitions.
ConstIterator begin(size_t i) const
Returns an iterator to the first non-zero element of row/column i.
Definition: SMatTransExpr.h:343
ReturnType_< MT > ReturnType
Return type for expression template evaluations.
Definition: SMatTransExpr.h:157
EnableIf_< IsDenseMatrix< MT1 > > smpSubAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the SMP subtraction assignment of a matrix to dense matrix.
Definition: DenseMatrix.h:160
Header file for the IsSparseMatrix type trait.
#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
SMatTransExpr(const MT &sm) noexcept
Constructor for the SMatTransExpr class.
Definition: SMatTransExpr.h:299
Header file for the MatTransExpr base class.
Iterator over the elements of the sparse matrix transposition expression.
Definition: SMatTransExpr.h:169
Header file for the ColumnExprTrait class template.
Header file for the IsColumnMajorMatrix type trait.
OppositeType_< MT > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: SMatTransExpr.h:154
CompositeType_< MT > CT
Composite type of the sparse matrix expression.
Definition: SMatTransExpr.h:114
Header file for the And class template.
const ValueType operator*() const
Direct access to the sparse matrix element at the current iterator position.
Definition: SMatTransExpr.h:214
Header file for the Computation base class.
If_< IsExpression< MT >, const MT, const MT & > Operand
Composite data type of the sparse matrix expression.
Definition: SMatTransExpr.h:163
ConstIterator end(size_t i) const
Returns an iterator just past the last non-zero element of row/column i.
Definition: SMatTransExpr.h:354
Header file for the RequiresEvaluation type trait.
Header file for the IsUniLower type trait.
typename T::ResultType ResultType_
Alias declaration for nested ResultType type definitions.The ResultType_ alias declaration provides a...
Definition: Aliases.h:323
EnableIf_< IsDenseMatrix< MT1 > > smpAddAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the SMP addition assignment of a matrix to a dense matrix.
Definition: DenseMatrix.h:129
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: SMatTransExpr.h:311
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:109
Constraint on the data type.
typename IfTrue< Condition, T1, T2 >::Type IfTrue_
Auxiliary alias declaration for the IfTrue class template.The IfTrue_ alias declaration provides a co...
Definition: If.h:109
typename T::ReturnType ReturnType_
Alias declaration for nested ReturnType type definitions.The ReturnType_ alias declaration provides a...
Definition: Aliases.h:343
Header file for the SparseMatrix base class.
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: SMatTransExpr.h:468
std::iterator_traits< IteratorType >::reference ReferenceType
Reference return type.
Definition: SMatTransExpr.h:179
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
typename T::CompositeType CompositeType_
Alias declaration for nested CompositeType type definitions.The CompositeType_ alias declaration prov...
Definition: Aliases.h:83
const IteratorType operator->() const
Direct access to the sparse matrix element at the current iterator position.
Definition: SMatTransExpr.h:224
Operand sm_
Sparse matrix of the transposition expression.
Definition: SMatTransExpr.h:485
std::forward_iterator_tag IteratorCategory
The iterator category.
Definition: SMatTransExpr.h:176
Header file for the IsStrictlyUpper type trait.
Header file for the IsSymmetric type trait.
bool operator==(const ConstIterator &rhs) const
Equality comparison between two ConstIterator objects.
Definition: SMatTransExpr.h:255
ConstIterator lowerBound(size_t i, size_t j) const
Returns an iterator to the first index not less then the given index.
Definition: SMatTransExpr.h:420
Namespace of the Blaze C++ math library.
Definition: Blaze.h:57
Header file for the If class template.
IteratorType it_
Iterator over the elements of the sparse matrix expression.
Definition: SMatTransExpr.h:284
Header file for the SMatTransExprTrait class template.
EnableIf_< IsDenseMatrix< MT1 > > smpAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the SMP assignment of a matrix to a dense matrix.
Definition: DenseMatrix.h:98
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: SMatTransExpr.h:326
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: SMatTransExpr.h:364
std::iterator_traits< IteratorType >::value_type ValueType
Type of the underlying pointers.
Definition: SMatTransExpr.h:177
#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 Columns type trait.
SMatTransExpr< MT, SO > This
Type of this SMatTransExpr instance.
Definition: SMatTransExpr.h:152
typename T::ElementType ElementType_
Alias declaration for nested ElementType type definitions.The ElementType_ alias declaration provides...
Definition: Aliases.h:163
Expression object for the transposition of a dense matrix.The DMatTransposer class is a wrapper objec...
Definition: DMatTransposer.h:80
Header file for the IsLower type trait.
std::iterator_traits< IteratorType >::difference_type DifferenceType
Difference between two iterators.
Definition: SMatTransExpr.h:180
size_t nonZeros(size_t i) const
Returns the number of non-zero elements in the specified row/column.
Definition: SMatTransExpr.h:395
Operand operand() const noexcept
Returns the sparse matrix operand.
Definition: SMatTransExpr.h:444
bool canSMPAssign() const noexcept
Returns whether the expression can be used in SMP assignments.
Definition: SMatTransExpr.h:478
Header file for the TSMatTransExprTrait class template.
Constraints on the storage order of matrix types.
ConstIterator upperBound(size_t i, size_t j) const
Returns an iterator to the first index greater then the given index.
Definition: SMatTransExpr.h:433
Header file for the exception macros of the math module.
Constraint on the data type.
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.
IteratorCategory iterator_category
The iterator category.
Definition: SMatTransExpr.h:183
Header file for the dense matrix transposer.
Expression object for the transposition of a sparse matrix.The SMatTransposer class is a wrapper obje...
Definition: Forward.h:105
ResultType_< MT > RT
Result type of the sparse matrix expression.
Definition: SMatTransExpr.h:113
Header file for the SubmatrixExprTrait class template.
ConstIterator & operator++()
Pre-increment operator.
Definition: SMatTransExpr.h:203
Header file for run time assertion macros.
DifferenceType difference_type
Difference between two iterators.
Definition: SMatTransExpr.h:187
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:160
IfTrue_< useAssign, const ResultType, const SMatTransExpr & > CompositeType
Data type for composite expression templates.
Definition: SMatTransExpr.h:160
Header file for the TransExprTrait class template.
ElementType_< MT > ElementType
Resulting element type.
Definition: SMatTransExpr.h:156
#define BLAZE_CONSTRAINT_MUST_NOT_REQUIRE_EVALUATION(T)
Constraint on the data type.In case the given data type T requires an intermediate evaluation within ...
Definition: RequiresEvaluation.h:81
IntegralConstant< bool, B > BoolConstant
Generic wrapper for a compile time constant boolean value.The BoolConstant class template represents ...
Definition: IntegralConstant.h:100
DifferenceType operator-(const ConstIterator &rhs) const
Calculating the number of elements between two expression iterators.
Definition: SMatTransExpr.h:277
Header file for the RemoveReference type trait.
typename EnableIf< Condition, T >::Type EnableIf_
Auxiliary alias declaration for the EnableIf class template.The EnableIf_ alias declaration provides ...
Definition: EnableIf.h:223
typename T::OppositeType OppositeType_
Alias declaration for nested OppositeType type definitions.The OppositeType_ alias declaration provid...
Definition: Aliases.h:243
ConstIterator_< RemoveReference_< Operand > > IteratorType
Iterator type of the sparse matrix expression.
Definition: SMatTransExpr.h:174
size_t index() const
Access to the current index of the sparse element.
Definition: SMatTransExpr.h:244
typename T::ConstIterator ConstIterator_
Alias declaration for nested ConstIterator type definitions.The ConstIterator_ alias declaration prov...
Definition: Aliases.h:103
PointerType pointer
Pointer return type.
Definition: SMatTransExpr.h:185
Header file for the IsRowMajorMatrix type trait.
ValueType value_type
Type of the underlying pointers.
Definition: SMatTransExpr.h:184
const DMatTransExpr< MT,!SO > trans(const DenseMatrix< MT, SO > &dm)
Calculation of the transpose of the given dense matrix.
Definition: DMatTransExpr.h:950
Header file for the IsComputation type trait class.
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: SMatTransExpr.h:456
#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
Expression object for sparse matrix transpositions.The SMatTransExpr class represents the compile tim...
Definition: Forward.h:104
Header file for the IntegralConstant class template.
ConstIterator find(size_t i, size_t j) const
Searches for a specific matrix element.
Definition: SMatTransExpr.h:407
TransposeType_< MT > ResultType
Result type for expression template evaluations.
Definition: SMatTransExpr.h:153
ResultType_< MT > TransposeType
Transpose type for expression template evaluations.
Definition: SMatTransExpr.h:155
bool operator!=(const ConstIterator &rhs) const
Inequality comparison between two ConstIterator objects.
Definition: SMatTransExpr.h:266
std::iterator_traits< IteratorType >::pointer PointerType
Pointer return type.
Definition: SMatTransExpr.h:178
typename T::TransposeType TransposeType_
Alias declaration for nested TransposeType type definitions.The TransposeType_ alias declaration prov...
Definition: Aliases.h:403
Header file for the IsUpper type trait.
Header file for the empty type.
Header file for the IsHermitian 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
#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:61
ReferenceType reference
Reference return type.
Definition: SMatTransExpr.h:186
Header file for the IsExpression type trait class.
Header file for the FunctionTrace class.