35 #ifndef _BLAZE_MATH_EXPRESSIONS_SMATREALEXPR_H_
36 #define _BLAZE_MATH_EXPRESSIONS_SMATREALEXPR_H_
108 template<
typename MT
110 class SMatRealExpr :
public SparseMatrix< SMatRealExpr<MT,SO>, SO >
111 ,
private MatRealExpr
112 ,
private Computation
145 template<
typename MT2 >
148 enum { value = useAssign };
161 template<
typename MT2 >
162 struct UseSMPAssign {
163 enum { value = ( !MT2::smpAssignable || !MT::smpAssignable ) && useAssign };
238 return Element(
real( it_->value() ), it_->index() );
258 return real( it_->value() );
279 return it_ == rhs.
it_;
290 return it_ != rhs.
it_;
301 return it_ - rhs.
it_;
314 enum { smpAssignable = MT::smpAssignable };
349 inline ReturnType
at(
size_t i,
size_t j )
const {
350 if( i >=
sm_.rows() ) {
353 if( j >=
sm_.columns() ) {
398 return sm_.columns();
408 return sm_.nonZeros();
419 return sm_.nonZeros(i);
478 template<
typename T >
480 return sm_.canAlias( alias );
490 template<
typename T >
492 return sm_.isAliased( alias );
502 return sm_.canSMPAssign();
526 template<
typename MT2
540 const RT tmp(
serial( rhs.sm_ ) );
541 assign( ~lhs,
real( tmp ) );
560 template<
typename MT2
574 const RT tmp(
serial( rhs.sm_ ) );
575 (~lhs).reserve( tmp.nonZeros() );
576 assign( ~lhs,
real( tmp ) );
595 template<
typename MT2
597 friend inline typename EnableIf< UseAssign<MT2> >::Type
598 addAssign( DenseMatrix<MT2,SO2>& lhs,
const SMatRealExpr& rhs )
609 const RT tmp(
serial( rhs.sm_ ) );
610 addAssign( ~lhs,
real( tmp ) );
633 template<
typename MT2
635 friend inline typename EnableIf< UseAssign<MT2> >::Type
636 subAssign( DenseMatrix<MT2,SO2>& lhs,
const SMatRealExpr& rhs )
647 const RT tmp(
serial( rhs.sm_ ) );
648 subAssign( ~lhs,
real( tmp ) );
680 template<
typename MT2
682 friend inline typename EnableIf< UseSMPAssign<MT2> >::Type
694 const RT tmp( rhs.sm_ );
718 template<
typename MT2
720 friend inline typename EnableIf< UseSMPAssign<MT2> >::Type
732 const RT tmp( rhs.sm_ );
756 template<
typename MT2
758 friend inline typename EnableIf< UseSMPAssign<MT2> >::Type
770 const RT tmp( rhs.sm_ );
824 template<
typename MT
854 template<
typename MT
856 inline const SMatRealExpr<MT,TF>&
real(
const SMatRealExpr<MT,TF>& sm )
876 template<
typename MT,
bool SO >
893 template<
typename MT,
bool SO >
894 struct Columns<
SMatRealExpr<MT,SO> > :
public Columns<MT>
910 template<
typename MT,
bool SO >
911 struct IsSymmetric<
SMatRealExpr<MT,SO> > :
public IsTrue< IsSymmetric<MT>::value >
927 template<
typename MT,
bool SO >
928 struct IsHermitian<
SMatRealExpr<MT,SO> > :
public IsTrue< IsHermitian<MT>::value >
944 template<
typename MT,
bool SO >
945 struct IsLower<
SMatRealExpr<MT,SO> > :
public IsTrue< IsLower<MT>::value >
961 template<
typename MT,
bool SO >
962 struct IsUniLower<
SMatRealExpr<MT,SO> > :
public IsTrue< IsUniLower<MT>::value >
978 template<
typename MT,
bool SO >
979 struct IsStrictlyLower<
SMatRealExpr<MT,SO> > :
public IsTrue< IsStrictlyLower<MT>::value >
995 template<
typename MT,
bool SO >
996 struct IsUpper<
SMatRealExpr<MT,SO> > :
public IsTrue< IsUpper<MT>::value >
1012 template<
typename MT,
bool SO >
1013 struct IsUniUpper<
SMatRealExpr<MT,SO> > :
public IsTrue< IsUniUpper<MT>::value >
1029 template<
typename MT,
bool SO >
1030 struct IsStrictlyUpper<
SMatRealExpr<MT,SO> > :
public IsTrue< IsStrictlyUpper<MT>::value >
1046 template<
typename MT >
1051 typedef typename SelectType< IsSparseMatrix<MT>::value && IsRowMajorMatrix<MT>::value
1052 , SMatRealExpr<MT,false>
1053 , INVALID_TYPE >::Type Type;
1062 template<
typename MT >
1067 typedef typename SelectType< IsSparseMatrix<MT>::value && IsColumnMajorMatrix<MT>::value
1068 , SMatRealExpr<MT,true>
1069 , INVALID_TYPE >::Type Type;
1078 template<
typename MT,
bool SO,
bool AF >
1083 typedef typename RealExprTrait< typename SubmatrixExprTrait<const MT,AF>::Type >::Type Type;
1092 template<
typename MT,
bool SO >
1097 typedef typename RealExprTrait< typename RowExprTrait<const MT>::Type >::Type Type;
1106 template<
typename MT,
bool SO >
1111 typedef typename RealExprTrait< typename ColumnExprTrait<const MT>::Type >::Type Type;
const ConstIterator * operator->() const
Direct access to the sparse matrix element at the current iterator position.
Definition: SMatRealExpr.h:247
Header file for the UnderlyingNumeric type trait.
Pointer difference type of the Blaze library.
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.
size_t columns() const
Returns the current number of columns of the matrix.
Definition: SMatRealExpr.h:397
Header file for the IsUniUpper type trait.
ConstIterator end(size_t i) const
Returns an iterator just past the last non-zero element of row i.
Definition: SMatRealExpr.h:377
Header file for basic type definitions.
ResultType::TransposeType TransposeType
Transpose type for expression template evaluations.
Definition: SMatRealExpr.h:173
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: SMatRealExpr.h:334
#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
ResultType::OppositeType OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: SMatRealExpr.h:172
PointerType pointer
Pointer return type.
Definition: SMatRealExpr.h:208
Header file for the ColumnExprTrait class template.
Header file for the IsColumnMajorMatrix type trait.
ConstIterator lowerBound(size_t i, size_t j) const
Returns an iterator to the first index not less then the given index.
Definition: SMatRealExpr.h:443
size_t rows() const
Returns the current number of rows of the matrix.
Definition: SMatRealExpr.h:387
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 RealExprTrait class template.
bool canAlias(const T *alias) const
Returns whether the expression can alias with the given address alias.
Definition: SMatRealExpr.h:479
Header file for the MatRealExpr base class.
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.
SMatRealExpr< MT, SO > This
Type of this SMatRealExpr instance.
Definition: SMatRealExpr.h:170
bool isAliased(const T *alias) const
Returns whether the expression is aliased with the given address alias.
Definition: SMatRealExpr.h:491
Header file for the RequiresEvaluation type trait.
Header file for the IsUniLower type trait.
RealExprTrait< RN >::Type ExprReturnType
Expression return type for the subscript operator.
Definition: SMatRealExpr.h:131
ConstIterator & operator++()
Pre-increment operator.
Definition: SMatRealExpr.h:226
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.
Header file for the SparseMatrix base class.
Constraint on the data type.
ReturnType value() const
Access to the current value of the sparse element.
Definition: SMatRealExpr.h:257
Compile time check to query the requirement to evaluate an expression.Via this type trait it is possi...
Definition: RequiresEvaluation.h:90
ConstIterator find(size_t i, size_t j) const
Searches for a specific matrix element.
Definition: SMatRealExpr.h:430
ResultType::ElementType ElementType
Resulting element type.
Definition: SMatRealExpr.h:174
MT::CompositeType CT
Composite type of the sparse matrix expression.
Definition: SMatRealExpr.h:118
IteratorType it_
Iterator over the elements of the sparse matrix expression.
Definition: SMatRealExpr.h:307
Iterator over the elements of the sparse matrix real part expression.
Definition: SMatRealExpr.h:189
Header file for the ValueIndexPair class.
IteratorCategory iterator_category
The iterator category.
Definition: SMatRealExpr.h:206
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.
std::forward_iterator_tag IteratorCategory
The iterator category.
Definition: SMatRealExpr.h:199
Header file for the IsSymmetric type trait.
Namespace of the Blaze C++ math library.
Definition: Blaze.h:57
RemoveReference< Operand >::Type::ConstIterator IteratorType
Iterator type of the sparse matrix expression.
Definition: SMatRealExpr.h:197
bool operator!=(const ConstIterator &rhs) const
Inequality comparison between two ConstIterator objects.
Definition: SMatRealExpr.h:289
const Element * ConstIterator
Iterator over constant elements.
Definition: CompressedMatrix.h:2592
#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
Header file for the Columns type trait.
size_t nonZeros(size_t i) const
Returns the number of non-zero elements in the specified row.
Definition: SMatRealExpr.h:418
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: SMatRealExpr.h:349
const RealExprTrait< MT >::Type real(const DenseMatrix< MT, SO > &dm)
Returns a matrix containing the real part of each single element of dm.
Definition: DMatRealExpr.h:920
ConstIterator upperBound(size_t i, size_t j) const
Returns an iterator to the first index greater then the given index.
Definition: SMatRealExpr.h:456
RealTrait< RT >::Type ResultType
Result type for expression template evaluations.
Definition: SMatRealExpr.h:171
const Element operator*() const
Direct access to the sparse matrix element at the current iterator position.
Definition: SMatRealExpr.h:237
Header file for the IsLower type trait.
Header file for the real trait.
#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.
Header file for the real shim.
size_t index() const
Access to the current index of the sparse element.
Definition: SMatRealExpr.h:267
Constraint on the data type.
Header file for the SelectType class template.
Header file for the RowExprTrait class template.
Header file for all forward declarations for expression class templates.
bool operator==(const ConstIterator &rhs) const
Equality comparison between two ConstIterator objects.
Definition: SMatRealExpr.h:278
Header file for the EnableIf class template.
Header file for the IsStrictlyLower type trait.
Header file for the serial shim.
const SelectType< returnExpr, ExprReturnType, ElementType >::Type ReturnType
Return type for expression template evaluations.
Definition: SMatRealExpr.h:177
SelectType< useAssign, const ResultType, const SMatRealExpr & >::Type CompositeType
Data type for composite expression templates.
Definition: SMatRealExpr.h:180
Element ValueType
Type of the underlying pointers.
Definition: SMatRealExpr.h:200
bool canSMPAssign() const
Returns whether the expression can be used in SMP assignments.
Definition: SMatRealExpr.h:501
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 IsSparseVector type trait.
Header file for the SubmatrixExprTrait class template.
const Type & ReturnType
Return type for expression template evaluations.
Definition: CompressedMatrix.h:2587
Removal of reference modifiers.The RemoveCV type trait removes any reference modifiers from the given...
Definition: RemoveReference.h:69
Operand operand() const
Returns the sparse matrix operand.
Definition: SMatRealExpr.h:467
ReferenceType reference
Reference return type.
Definition: SMatRealExpr.h:209
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
DifferenceType operator-(const ConstIterator &rhs) const
Calculating the number of elements between two expression iterators.
Definition: SMatRealExpr.h:300
Utility type for generic codes.
size_t nonZeros() const
Returns the number of non-zero elements in the sparse matrix.
Definition: SMatRealExpr.h:407
Base template for the RealTrait class.The RealTrait class template offers the possibility to select t...
Definition: RealTrait.h:78
Substitution Failure Is Not An Error (SFINAE) class.The EnableIf class template is an auxiliary tool ...
Definition: EnableIf.h:184
MT::ResultType RT
Result type of the sparse matrix expression.
Definition: SMatRealExpr.h:116
ValueType value_type
Type of the underlying pointers.
Definition: SMatRealExpr.h:207
#define BLAZE_CONSTRAINT_MUST_NOT_BE_BUILTIN_TYPE(T)
Constraint on the data type.In case the given data type T is a built-in data type, a compilation error is created.
Definition: Builtin.h:116
ValueType & ReferenceType
Reference return type.
Definition: SMatRealExpr.h:202
Expression object for the sparse matrix real() function.The SMatRealExpr class represents the compile...
Definition: Forward.h:102
#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:118
Header file for the RemoveReference type trait.
ConstIterator begin(size_t i) const
Returns an iterator to the first non-zero element of row i.
Definition: SMatRealExpr.h:366
Index-value-pair for sparse vectors and matrices.The ValueIndexPair class represents a single index-v...
Definition: ValueIndexPair.h:70
Header file for the IsRowMajorMatrix type trait.
Header file for the SMatRealExprTrait class template.
Header file for the IsComputation type trait class.
SMatRealExpr(const MT &sm)
Constructor for the SMatRealExpr class.
Definition: SMatRealExpr.h:322
Evaluation of the return type of a real part expression.Via this type trait it is possible to evaluat...
Definition: RealExprTrait.h:88
Header file for the TSMatRealExprTrait class template.
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
Operand sm_
Sparse matrix of the real part expression.
Definition: SMatRealExpr.h:508
#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
ValueType * PointerType
Pointer return type.
Definition: SMatRealExpr.h:201
ValueIndexPair< ElementType > Element
Element type of the sparse matrix expression.
Definition: SMatRealExpr.h:194
This ResultType
Result type for expression template evaluations.
Definition: CompressedMatrix.h:2583
Header file for the IsTrue value trait.
MT::ReturnType RN
Return type of the sparse matrix expression.
Definition: SMatRealExpr.h:117
Header file for the IsUpper type trait.
Header file for exception macros.
DifferenceType difference_type
Difference between two iterators.
Definition: SMatRealExpr.h:210
ptrdiff_t DifferenceType
Difference between two iterators.
Definition: SMatRealExpr.h:203
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
Constraint on the data type.
#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
Header file for the IsExpression type trait class.
ConstIterator(IteratorType it)
Constructor for the ConstIterator class.
Definition: SMatRealExpr.h:216
Header file for the FunctionTrace class.
SelectType< IsExpression< MT >::value, const MT, const MT & >::Type Operand
Composite data type of the sparse matrix expression.
Definition: SMatRealExpr.h:183