35 #ifndef _BLAZE_MATH_EXPRESSIONS_SMATDECLHERMEXPR_H_ 36 #define _BLAZE_MATH_EXPRESSIONS_SMATDECLHERMEXPR_H_ 100 class SMatDeclHermExpr
101 :
public DeclHermExpr< SparseMatrix< SMatDeclHermExpr<MT,SO>, SO > >
102 ,
public Declaration<MT>
120 template<
typename MT2 >
123 enum :
bool { value = useAssign };
135 template<
typename MT2 >
136 struct UseSMPAssign {
137 enum :
bool { value = MT2::smpAssignable && useAssign };
148 template<
typename MT2 >
149 struct GetConstIterator {
152 struct Failure {
using Type = INVALID_TYPE; };
179 enum :
bool { smpAssignable = MT::smpAssignable };
217 if( i >=
sm_.rows() ) {
220 if( j >=
sm_.columns() ) {
254 inline size_t rows() const noexcept {
265 return sm_.columns();
275 return sm_.nonZeros();
286 return sm_.nonZeros(i);
306 template<
typename T >
307 inline bool canAlias(
const T* alias )
const noexcept {
308 return sm_.canAlias( alias );
318 template<
typename T >
319 inline bool isAliased(
const T* alias )
const noexcept {
320 return sm_.isAliased( alias );
330 return sm_.canSMPAssign();
351 template<
typename MT2
361 assign( ~lhs, rhs.sm_ );
378 template<
typename MT2
388 assign( ~lhs, rhs.sm_ );
405 template<
typename MT2
415 addAssign( ~lhs, rhs.sm_ );
432 template<
typename MT2
442 addAssign( ~lhs, rhs.sm_ );
459 template<
typename MT2
469 subAssign( ~lhs, rhs.sm_ );
486 template<
typename MT2
496 subAssign( ~lhs, rhs.sm_ );
513 template<
typename MT2
523 schurAssign( ~lhs, rhs.sm_ );
540 template<
typename MT2
550 schurAssign( ~lhs, rhs.sm_ );
567 template<
typename MT2
577 multAssign( ~lhs, rhs.sm_ );
594 template<
typename MT2
604 multAssign( ~lhs, rhs.sm_ );
621 template<
typename MT2
648 template<
typename MT2
675 template<
typename MT2
702 template<
typename MT2
729 template<
typename MT2
756 template<
typename MT2
783 template<
typename MT2
810 template<
typename MT2
838 template<
typename MT2
866 template<
typename MT2
912 template<
typename MT
938 template<
typename MT
947 return IdentityMatrix<ElementType_<MT>,SO>( (~sm).
rows() );
964 template<
typename MT
998 template<
typename MT
1008 return declherm_backend( ~sm );
1035 template<
typename MT
1063 template<
typename MT,
bool SO >
1064 struct Size< SMatDeclHermExpr<MT,SO>, 0UL >
1065 :
public Size<MT,0UL>
1068 template<
typename MT,
bool SO >
1069 struct Size< SMatDeclHermExpr<MT,SO>, 1UL >
1070 :
public Size<MT,1UL>
1086 template<
typename MT,
bool SO >
1104 template<
typename MT,
bool SO >
1122 template<
typename MT,
bool SO >
1123 struct IsLower< SMatDeclHermExpr<MT,SO> >
1140 template<
typename MT,
bool SO >
1158 template<
typename MT,
bool SO >
1176 template<
typename MT,
bool SO >
1177 struct IsUpper< SMatDeclHermExpr<MT,SO> >
1194 template<
typename MT,
bool SO >
1212 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:161
size_t nonZeros() const
Returns the number of non-zero elements in the sparse matrix.
Definition: SMatDeclHermExpr.h:274
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:162
If_< IsExpression< MT >, const MT, const MT &> Operand
Composite data type of the sparse matrix expression.
Definition: SMatDeclHermExpr.h:174
RightOperand rightOperand() const noexcept
Returns the right-hand side scalar operand.
Definition: SMatScalarMultExpr.h:475
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:319
LeftOperand leftOperand() const noexcept
Returns the left-hand side sparse matrix operand.
Definition: SMatScalarMultExpr.h:465
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:87
#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:156
bool canSMPAssign() const noexcept
Returns whether the expression can be used in SMP assignments.
Definition: SMatDeclHermExpr.h:329
Compile time check for upper triangular matrices.This type trait tests whether or not the given templ...
Definition: IsUpper.h:87
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: SMatDeclHermExpr.h:254
Header file for the RequiresEvaluation type trait.
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: SMatDeclHermExpr.h:163
ResultType_< MT > RT
Result type of the sparse matrix expression.
Definition: SMatDeclHermExpr.h:106
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:201
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: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:336
Constraint on the data type.
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: SMatDeclHermExpr.h:216
Compile time check to query the requirement to evaluate an expression.Via this type trait it is possi...
Definition: RequiresEvaluation.h:71
SMatDeclHermExpr(const MT &sm) noexcept
Constructor for the SMatDeclHermExpr class.
Definition: SMatDeclHermExpr.h:187
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: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:307
Operand operand() const noexcept
Returns the sparse matrix operand.
Definition: SMatDeclHermExpr.h:295
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 Not class template.
const Element * ConstIterator
Iterator over constant elements.
Definition: CompressedMatrix.h:3085
typename GetConstIterator< MT >::Type ConstIterator
Iterator over the elements of the dense matrix.
Definition: SMatDeclHermExpr.h:171
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:168
ConstIterator end(size_t i) const
Returns an iterator just past the last non-zero element of row i.
Definition: SMatDeclHermExpr.h:244
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:264
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:285
Header file for run time assertion macros.
ElementType_< MT > ElementType
Resulting element type.
Definition: SMatDeclHermExpr.h:164
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:1028
Compile time evaluation of the size of vectors and matrices.The Size type trait evaluates the size of...
Definition: Size.h:80
ConstIterator begin(size_t i) const
Returns an iterator to the first non-zero element of row i.
Definition: SMatDeclHermExpr.h:233
ReturnType_< MT > ReturnType
Return type for expression template evaluations.
Definition: SMatDeclHermExpr.h:165
#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:908
Header file for the Size 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
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:86
Header file for the IsExpression type trait class.
Header file for the function trace functionality.