35 #ifndef _BLAZE_MATH_EXPRESSIONS_SMATDECLHERMEXPR_H_ 36 #define _BLAZE_MATH_EXPRESSIONS_SMATDECLHERMEXPR_H_ 100 template<
typename MT
102 class SMatDeclHermExpr
103 :
public DeclHermExpr< SparseMatrix< SMatDeclHermExpr<MT,SO>, SO > >
104 ,
public Declaration<MT>
122 template<
typename MT2 >
125 enum :
bool { value = useAssign };
137 template<
typename MT2 >
138 struct UseSMPAssign {
139 enum :
bool { value = MT2::smpAssignable && useAssign };
150 template<
typename MT2 >
151 struct GetConstIterator {
154 struct Failure {
using Type = INVALID_TYPE; };
181 enum :
bool { smpAssignable = MT::smpAssignable };
219 if( i >=
sm_.rows() ) {
222 if( j >=
sm_.columns() ) {
256 inline size_t rows() const noexcept {
267 return sm_.columns();
277 return sm_.nonZeros();
288 return sm_.nonZeros(i);
308 template<
typename T >
309 inline bool canAlias(
const T* alias )
const noexcept {
310 return sm_.canAlias( alias );
320 template<
typename T >
321 inline bool isAliased(
const T* alias )
const noexcept {
322 return sm_.isAliased( alias );
332 return sm_.canSMPAssign();
353 template<
typename MT2
363 assign( ~lhs, rhs.sm_ );
380 template<
typename MT2
390 assign( ~lhs, rhs.sm_ );
407 template<
typename MT2
417 addAssign( ~lhs, rhs.sm_ );
434 template<
typename MT2
444 addAssign( ~lhs, rhs.sm_ );
461 template<
typename MT2
471 subAssign( ~lhs, rhs.sm_ );
488 template<
typename MT2
498 subAssign( ~lhs, rhs.sm_ );
515 template<
typename MT2
525 schurAssign( ~lhs, rhs.sm_ );
542 template<
typename MT2
552 schurAssign( ~lhs, rhs.sm_ );
569 template<
typename MT2
579 multAssign( ~lhs, rhs.sm_ );
596 template<
typename MT2
606 multAssign( ~lhs, rhs.sm_ );
623 template<
typename MT2
650 template<
typename MT2
677 template<
typename MT2
704 template<
typename MT2
731 template<
typename MT2
758 template<
typename MT2
785 template<
typename MT2
812 template<
typename MT2
840 template<
typename MT2
868 template<
typename MT2
914 template<
typename MT
940 template<
typename MT
949 return IdentityMatrix<ElementType_<MT>,SO>( (~sm).
rows() );
966 template<
typename MT
1000 template<
typename MT
1010 return declherm_backend( ~sm );
1037 template<
typename MT
1065 template<
typename MT,
bool SO >
1066 struct Rows< SMatDeclHermExpr<MT,SO> >
1083 template<
typename MT,
bool SO >
1084 struct Columns< SMatDeclHermExpr<MT,SO> >
1101 template<
typename MT,
bool SO >
1119 template<
typename MT,
bool SO >
1137 template<
typename MT,
bool SO >
1138 struct IsLower< SMatDeclHermExpr<MT,SO> >
1155 template<
typename MT,
bool SO >
1173 template<
typename MT,
bool SO >
1191 template<
typename MT,
bool SO >
1192 struct IsUpper< SMatDeclHermExpr<MT,SO> >
1209 template<
typename MT,
bool SO >
1227 template<
typename MT,
bool 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.
DeclHermTrait_< RT > ResultType
Result type for expression template evaluations.
Definition: SMatDeclHermExpr.h:163
size_t nonZeros() const
Returns the number of non-zero elements in the sparse matrix.
Definition: SMatDeclHermExpr.h:276
Header file for the Rows type trait.
Header file for the IsUniUpper type trait.
EnableIf_< IsDenseMatrix< MT1 > > smpSchurAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the SMP Schur product assignment of a matrix to dense matrix.
Definition: DenseMatrix.h:196
OppositeType_< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: SMatDeclHermExpr.h:164
If_< IsExpression< MT >, const MT, const MT &> Operand
Composite data type of the sparse matrix expression.
Definition: SMatDeclHermExpr.h:176
RightOperand rightOperand() const noexcept
Returns the right-hand side scalar operand.
Definition: SMatScalarMultExpr.h:478
Header file for basic type definitions.
Header file for the declherm trait.
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:164
#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
Generic wrapper for a compile time constant integral value.The IntegralConstant class template repres...
Definition: IntegralConstant.h:71
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: SMatDeclHermExpr.h:321
LeftOperand leftOperand() const noexcept
Returns the left-hand side sparse matrix operand.
Definition: SMatScalarMultExpr.h:468
EnableIf_< IsDenseVector< VT1 > > smpMultAssign(Vector< VT1, TF1 > &lhs, const Vector< VT2, TF2 > &rhs)
Default implementation of the SMP multiplication assignment of a vector to a dense vector...
Definition: DenseVector.h:193
typename DisableIf< Condition, T >::Type DisableIf_
Auxiliary type for the DisableIf class template.The DisableIf_ alias declaration provides a convenien...
Definition: DisableIf.h:224
Header file for the And class template.
Compile time check for lower triangular matrices.This type trait tests whether or not the given templ...
Definition: IsLower.h:88
#define BLAZE_CREATE_HAS_TYPE_MEMBER_TYPE_TRAIT(TYPE_TRAIT_NAME, MEMBER_NAME)
Macro for the creation of a type trait for compile time checks for member types.This macro creates th...
Definition: HasMember.h:182
#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
typename DeclHermTrait< MT >::Type DeclHermTrait_
Auxiliary alias declaration for the DeclHermTrait type trait.The DeclHermTrait_ alias declaration pro...
Definition: DeclHermTrait.h:177
bool canSMPAssign() const noexcept
Returns whether the expression can be used in SMP assignments.
Definition: SMatDeclHermExpr.h:331
Compile time check for upper triangular matrices.This type trait tests whether or not the given templ...
Definition: IsUpper.h:88
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: SMatDeclHermExpr.h:256
Header file for the RequiresEvaluation type trait.
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: SMatDeclHermExpr.h:165
ResultType_< MT > RT
Result type of the sparse matrix expression.
Definition: SMatDeclHermExpr.h:108
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:343
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:133
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: SMatDeclHermExpr.h:203
Base class for dense matrices.The DenseMatrix class is a base class for all dense matrix classes...
Definition: DenseMatrix.h:78
Base class for sparse matrices.The SparseMatrix class is a base class for all sparse matrix classes...
Definition: Forward.h:129
Header file for all forward declarations for sparse vectors and matrices.
Constraint on the data type.
typename T::ReturnType ReturnType_
Alias declaration for nested ReturnType type definitions.The ReturnType_ alias declaration provides a...
Definition: Aliases.h:363
Header file for the SparseMatrix base class.
Operand sm_
Sparse matrix of the declherm expression.
Definition: SMatDeclHermExpr.h:338
Constraint on the data type.
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: SMatDeclHermExpr.h:218
Compile time check to query the requirement to evaluate an expression.Via this type trait it is possi...
Definition: RequiresEvaluation.h:72
SMatDeclHermExpr(const MT &sm) noexcept
Constructor for the SMatDeclHermExpr class.
Definition: SMatDeclHermExpr.h:189
Compile time check for upper unitriangular matrices.This type trait tests whether or not the given te...
Definition: IsUniUpper.h:86
Efficient implementation of an identity matrix.The IdentityMatrix class template is the representati...
Definition: Forward.h:49
Header file for the DisableIf class template.
Header file for the IsStrictlyUpper type trait.
Header file for the IsSymmetric type trait.
Namespace of the Blaze C++ math library.
Definition: Blaze.h:57
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:309
Operand operand() const noexcept
Returns the sparse matrix operand.
Definition: SMatDeclHermExpr.h:297
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:102
Header file for the Or class template.
#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.
Header file for the Not class template.
const Element * ConstIterator
Iterator over constant elements.
Definition: CompressedMatrix.h:3087
typename GetConstIterator< MT >::Type ConstIterator
Iterator over the elements of the dense matrix.
Definition: SMatDeclHermExpr.h:173
typename T::ElementType ElementType_
Alias declaration for nested ElementType type definitions.The ElementType_ alias declaration provides...
Definition: Aliases.h:163
Header file for the IsLower type trait.
Header file for the IsUniTriangular type trait.
If_< RequiresEvaluation< MT >, const ResultType, const SMatDeclHermExpr &> CompositeType
Data type for composite expression templates.
Definition: SMatDeclHermExpr.h:170
ConstIterator end(size_t i) const
Returns an iterator just past the last non-zero element of row i.
Definition: SMatDeclHermExpr.h:246
Constraints on the storage order of matrix types.
Compile time check for symmetric matrices.This type trait tests whether or not the given template par...
Definition: IsSymmetric.h:85
Header file for the exception macros of the math module.
Compile time check for strictly upper triangular matrices.This type trait tests whether or not the gi...
Definition: IsStrictlyUpper.h:86
Header file for the implementation of the base template of the HeritianMatrix.
Expression object for sparse matrix-scalar multiplications.The SMatScalarMult class represents the co...
Definition: Forward.h:114
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:266
Header file for the EnableIf class template.
Header file for the IsStrictlyLower type trait.
Compile time check for lower unitriangular matrices.This type trait tests whether or not the given te...
Definition: IsUniLower.h:86
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:287
Header file for run time assertion macros.
ElementType_< MT > ElementType
Resulting element type.
Definition: SMatDeclHermExpr.h:166
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:154
#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
Compile time check for Hermitian matrices.This type trait tests whether or not the given template par...
Definition: IsHermitian.h:85
Header file for the HasMember type traits.
Expression object for the explicit Hermitian declaration of sparse matrices.The SMatDeclHermExpr clas...
Definition: Forward.h:103
typename EnableIf< Condition, T >::Type EnableIf_
Auxiliary alias declaration for the EnableIf class template.The EnableIf_ alias declaration provides ...
Definition: EnableIf.h:224
typename T::OppositeType OppositeType_
Alias declaration for nested OppositeType type definitions.The OppositeType_ alias declaration provid...
Definition: Aliases.h:263
Compile time check for strictly lower triangular matrices.This type trait tests whether or not the gi...
Definition: IsStrictlyLower.h:86
decltype(auto) declherm(const DenseMatrix< MT, SO > &dm)
Declares the given dense matrix expression dm as Hermitian.
Definition: DMatDeclHermExpr.h:1029
Header file for the IntegralConstant class template.
Compile time evaluation of the number of columns of a matrix.The Columns type trait evaluates the num...
Definition: Columns.h:75
ConstIterator begin(size_t i) const
Returns an iterator to the first non-zero element of row i.
Definition: SMatDeclHermExpr.h:235
Compile time evaluation of the number of rows of a matrix.The Rows type trait evaluates the number of...
Definition: Rows.h:75
ReturnType_< MT > ReturnType
Return type for expression template evaluations.
Definition: SMatDeclHermExpr.h:167
#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
typename T::TransposeType TransposeType_
Alias declaration for nested TransposeType type definitions.The TransposeType_ alias declaration prov...
Definition: Aliases.h:423
Header file for the IsUpper type trait.
Header file for the IsHermitian type trait.
BLAZE_ALWAYS_INLINE bool isSquare(const Matrix< MT, SO > &matrix) noexcept
Checks if the given matrix is a square matrix.
Definition: Matrix.h:742
#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
Header file for the TrueType type/value trait base class.
Compile time check for unitriangular matrix types.This type trait tests whether or not the given temp...
Definition: IsUniTriangular.h:87
Header file for the IsExpression type trait class.
Header file for the function trace functionality.