35 #ifndef _BLAZE_MATH_EXPRESSIONS_SMATDECLHERMEXPR_H_ 36 #define _BLAZE_MATH_EXPRESSIONS_SMATDECLHERMEXPR_H_ 89 class SMatDeclHermExpr
90 :
public DeclHermExpr< SparseMatrix< SMatDeclHermExpr<MT,SO>, SO > >
91 ,
public Declaration<MT>
109 static constexpr
bool useAssign = RequiresEvaluation_v<MT>;
112 template<
typename MT2 >
114 static constexpr
bool UseAssign_v =
useAssign;
126 template<
typename MT2 >
191 if( i >=
sm_.rows() ) {
194 if( j >=
sm_.columns() ) {
228 inline size_t rows() const noexcept {
239 return sm_.columns();
249 return sm_.nonZeros();
260 return sm_.nonZeros(i);
280 template<
typename T >
281 inline bool canAlias(
const T* alias )
const noexcept {
282 return sm_.canAlias( alias );
292 template<
typename T >
293 inline bool isAliased(
const T* alias )
const noexcept {
294 return sm_.isAliased( alias );
304 return sm_.canSMPAssign();
325 template<
typename MT2
335 assign( ~lhs, rhs.sm_ );
352 template<
typename MT2
362 assign( ~lhs, rhs.sm_ );
379 template<
typename MT2
381 friend inline auto addAssign( DenseMatrix<MT2,SO2>& lhs,
const SMatDeclHermExpr& rhs )
382 -> EnableIf_t< UseAssign_v<MT2> >
389 addAssign( ~lhs, rhs.sm_ );
406 template<
typename MT2
408 friend inline auto addAssign( SparseMatrix<MT2,SO2>& lhs,
const SMatDeclHermExpr& rhs )
409 -> EnableIf_t< UseAssign_v<MT2> >
416 addAssign( ~lhs, rhs.sm_ );
433 template<
typename MT2
435 friend inline auto subAssign( DenseMatrix<MT2,SO2>& lhs,
const SMatDeclHermExpr& rhs )
436 -> EnableIf_t< UseAssign_v<MT2> >
443 subAssign( ~lhs, rhs.sm_ );
460 template<
typename MT2
462 friend inline auto subAssign( SparseMatrix<MT2,SO2>& lhs,
const SMatDeclHermExpr& rhs )
463 -> EnableIf_t< UseAssign_v<MT2> >
470 subAssign( ~lhs, rhs.sm_ );
487 template<
typename MT2
489 friend inline auto schurAssign( DenseMatrix<MT2,SO2>& lhs,
const SMatDeclHermExpr& rhs )
490 -> EnableIf_t< UseAssign_v<MT2> >
497 schurAssign( ~lhs, rhs.sm_ );
514 template<
typename MT2
516 friend inline auto schurAssign( SparseMatrix<MT2,SO2>& lhs,
const SMatDeclHermExpr& rhs )
517 -> EnableIf_t< UseAssign_v<MT2> >
524 schurAssign( ~lhs, rhs.sm_ );
541 template<
typename MT2
543 friend inline auto multAssign( DenseMatrix<MT2,SO2>& lhs,
const SMatDeclHermExpr& rhs )
544 -> EnableIf_t< UseAssign_v<MT2> >
551 multAssign( ~lhs, rhs.sm_ );
568 template<
typename MT2
570 friend inline auto multAssign( SparseMatrix<MT2,SO2>& lhs,
const SMatDeclHermExpr& rhs )
571 -> EnableIf_t< UseAssign_v<MT2> >
578 multAssign( ~lhs, rhs.sm_ );
595 template<
typename MT2
598 -> EnableIf_t< UseSMPAssign_v<MT2> >
622 template<
typename MT2
625 -> EnableIf_t< UseSMPAssign_v<MT2> >
649 template<
typename MT2
652 -> EnableIf_t< UseSMPAssign_v<MT2> >
676 template<
typename MT2
679 -> EnableIf_t< UseSMPAssign_v<MT2> >
703 template<
typename MT2
706 -> EnableIf_t< UseSMPAssign_v<MT2> >
730 template<
typename MT2
733 -> EnableIf_t< UseSMPAssign_v<MT2> >
757 template<
typename MT2
760 -> EnableIf_t< UseSMPAssign_v<MT2> >
784 template<
typename MT2
787 -> EnableIf_t< UseSMPAssign_v<MT2> >
812 template<
typename MT2
815 -> EnableIf_t< UseSMPAssign_v<MT2> >
840 template<
typename MT2
843 -> EnableIf_t< UseSMPAssign_v<MT2> >
886 template<
typename MT
888 , DisableIf_t< IsHermitian_v<MT> || IsUniTriangular_v<MT> >* =
nullptr >
889 inline const SMatDeclHermExpr<MT,SO> declherm_backend(
const SparseMatrix<MT,SO>& sm )
895 return SMatDeclHermExpr<MT,SO>( ~sm );
912 template<
typename MT
914 , EnableIf_t< !IsHermitian_v<MT> && IsUniTriangular_v<MT> >* =
nullptr >
915 inline const IdentityMatrix<ElementType_t<MT>,SO> declherm_backend(
const SparseMatrix<MT,SO>& sm )
921 return IdentityMatrix<ElementType_t<MT>,SO>( (~sm).
rows() );
938 template<
typename MT
940 , EnableIf_t< IsHermitian_v<MT> >* =
nullptr >
941 inline const MT& declherm_backend(
const SparseMatrix<MT,SO>& sm )
972 template<
typename MT
982 return declherm_backend( ~sm );
1009 template<
typename MT
1012 , DisableIf_t< IsHermitian_v<MT> >* =
nullptr >
1013 inline decltype(
auto)
declherm( const SMatScalarMultExpr<MT,ST,SO>& sm )
1021 return declherm( sm.leftOperand() ) * sm.rightOperand();
1037 template<
typename MT,
bool SO >
1038 struct IsHermitian< SMatDeclHermExpr<MT,SO> >
#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.
size_t nonZeros() const
Returns the number of non-zero elements in the sparse matrix.
Definition: SMatDeclHermExpr.h:248
Header file for basic type definitions.
typename DeclHermTrait< MT >::Type DeclHermTrait_t
Auxiliary alias declaration for the DeclHermTrait type trait.The DeclHermTrait_t alias declaration pr...
Definition: DeclHermTrait.h:160
typename If< Condition, T1, T2 >::Type If_t
Auxiliary alias declaration for the If class template.The If_t alias declaration provides a convenien...
Definition: If.h:109
Header file for the declherm trait.
typename T::ResultType ResultType_t
Alias declaration for nested ResultType type definitions.The ResultType_t alias declaration provides ...
Definition: Aliases.h:390
#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
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: SMatDeclHermExpr.h:293
static constexpr bool smpAssignable
Compilation flag for SMP assignments.
Definition: CompressedMatrix.h:3113
TransposeType_t< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: SMatDeclHermExpr.h:137
BLAZE_CREATE_GET_TYPE_MEMBER_TYPE_TRAIT(GetConstIterator, ConstIterator, INVALID_TYPE)
Definition of the GetConstIterator type trait.
static constexpr bool smpAssignable
Compilation switch for the expression template assignment strategy.
Definition: SMatDeclHermExpr.h:153
#define BLAZE_CONSTRAINT_MUST_NOT_BE_UNITRIANGULAR_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is a lower or upper unitriangular matrix ty...
Definition: UniTriangular.h:81
bool canSMPAssign() const noexcept
Returns whether the expression can be used in SMP assignments.
Definition: SMatDeclHermExpr.h:303
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: SMatDeclHermExpr.h:228
BoolConstant< true > TrueType
Type traits base class.The TrueType class is used as base class for type traits and value traits that...
Definition: TrueType.h:61
GetConstIterator_t< MT > ConstIterator
Iterator over the elements of the dense matrix.
Definition: SMatDeclHermExpr.h:145
Header file for the RequiresEvaluation type trait.
typename T::ReturnType ReturnType_t
Alias declaration for nested ReturnType type definitions.The ReturnType_t alias declaration provides ...
Definition: Aliases.h:410
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: SMatDeclHermExpr.h:175
Base class for dense matrices.The DenseMatrix class is a base class for all dense matrix classes...
Definition: DenseMatrix.h:80
Base class for sparse matrices.The SparseMatrix class is a base class for all sparse matrix classes...
Definition: Forward.h:137
typename T::ElementType ElementType_t
Alias declaration for nested ElementType type definitions.The ElementType_t alias declaration provide...
Definition: Aliases.h:170
Header file for all forward declarations for sparse vectors and matrices.
Constraint on the data type.
Header file for the SparseMatrix base class.
Operand sm_
Sparse matrix of the declherm expression.
Definition: SMatDeclHermExpr.h:310
Constraint on the data type.
typename EnableIf< Condition, T >::Type EnableIf_t
Auxiliary type for the EnableIf class template.The EnableIf_t alias declaration provides a convenient...
Definition: EnableIf.h:138
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: SMatDeclHermExpr.h:190
SMatDeclHermExpr(const MT &sm) noexcept
Constructor for the SMatDeclHermExpr class.
Definition: SMatDeclHermExpr.h:161
Header file for the DisableIf class template.
Namespace of the Blaze C++ math library.
Definition: Blaze.h:58
Header file for the DeclHermExpr base class.
Header file for the If class template.
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: SMatDeclHermExpr.h:281
Operand operand() const noexcept
Returns the sparse matrix operand.
Definition: SMatDeclHermExpr.h:269
#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
DeclHermTrait_t< RT > ResultType
Result type for expression template evaluations.
Definition: SMatDeclHermExpr.h:135
Header file for the GetMemberType type trait.
Header file for the IsUniTriangular type trait.
static constexpr bool useAssign
Compilation switch for the serial evaluation strategy of the Hermitian declaration expression...
Definition: SMatDeclHermExpr.h:109
ConstIterator end(size_t i) const
Returns an iterator just past the last non-zero element of row i.
Definition: SMatDeclHermExpr.h:218
Constraints on the storage order of matrix types.
Header file for the exception macros of the math module.
ResultType_t< MT > RT
Result type of the sparse matrix expression.
Definition: SMatDeclHermExpr.h:95
Header file for the implementation of the base template of the HeritianMatrix.
Header file for all forward declarations for expression class templates.
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: SMatDeclHermExpr.h:238
Header file for the EnableIf class template.
typename T::OppositeType OppositeType_t
Alias declaration for nested OppositeType type definitions.The OppositeType_t alias declaration provi...
Definition: Aliases.h:270
Constraint on the data type.
Header file for the Declaration base class.
size_t nonZeros(size_t i) const
Returns the number of non-zero elements in the specified row.
Definition: SMatDeclHermExpr.h:259
typename T::TransposeType TransposeType_t
Alias declaration for nested TransposeType type definitions.The TransposeType_t alias declaration pro...
Definition: Aliases.h:470
Header file for run time assertion macros.
Utility type for generic codes.
auto smpAddAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs) -> EnableIf_t< IsDenseMatrix_v< MT1 > >
Default implementation of the SMP addition assignment of a matrix to a dense matrix.
Definition: DenseMatrix.h:131
If_t< RequiresEvaluation_v< MT >, const ResultType, const SMatDeclHermExpr &> CompositeType
Data type for composite expression templates.
Definition: SMatDeclHermExpr.h:142
OppositeType_t< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: SMatDeclHermExpr.h:136
#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
auto smpAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs) -> EnableIf_t< IsDenseMatrix_v< MT1 > >
Default implementation of the SMP assignment of a matrix to a dense matrix.
Definition: DenseMatrix.h:100
auto smpSchurAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs) -> EnableIf_t< IsDenseMatrix_v< MT1 > >
Default implementation of the SMP Schur product assignment of a matrix to dense matrix.
Definition: DenseMatrix.h:194
constexpr size_t rows(const Matrix< MT, SO > &matrix) noexcept
Returns the current number of rows of the matrix.
Definition: Matrix.h:498
Expression object for the explicit Hermitian declaration of sparse matrices.The SMatDeclHermExpr clas...
Definition: Forward.h:111
ElementType_t< MT > ElementType
Resulting element type.
Definition: SMatDeclHermExpr.h:138
decltype(auto) declherm(const DenseMatrix< MT, SO > &dm)
Declares the given dense matrix expression dm as Hermitian.
Definition: DMatDeclHermExpr.h:1002
auto smpSubAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs) -> EnableIf_t< IsDenseMatrix_v< MT1 > >
Default implementation of the SMP subtraction assignment of a matrix to dense matrix.
Definition: DenseMatrix.h:162
ReturnType_t< MT > ReturnType
Return type for expression template evaluations.
Definition: SMatDeclHermExpr.h:139
ConstIterator begin(size_t i) const
Returns an iterator to the first non-zero element of row i.
Definition: SMatDeclHermExpr.h:207
#define BLAZE_CONSTRAINT_MUST_NOT_BE_HERMITIAN_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is an Hermitian matrix type, a compilation error is created.
Definition: Hermitian.h:79
Header file for the IsHermitian type trait.
bool isSquare(const Matrix< MT, SO > &matrix) noexcept
Checks if the given matrix is a square matrix.
Definition: Matrix.h:951
#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
auto smpMultAssign(Vector< VT1, TF1 > &lhs, const Vector< VT2, TF2 > &rhs) -> EnableIf_t< IsDenseVector_v< VT1 > >
Default implementation of the SMP multiplication assignment of a vector to a dense vector...
Definition: DenseVector.h:191
#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
Header file for the TrueType type/value trait base class.
If_t< IsExpression_v< MT >, const MT, const MT &> Operand
Composite data type of the sparse matrix expression.
Definition: SMatDeclHermExpr.h:148
Header file for the IsExpression type trait class.
Header file for the function trace functionality.