35 #ifndef _BLAZE_MATH_EXPRESSIONS_DMATDECLHERMEXPR_H_ 36 #define _BLAZE_MATH_EXPRESSIONS_DMATDECLHERMEXPR_H_ 102 template<
typename MT
105 :
public DeclHermExpr< DenseMatrix< DMatDeclHermExpr<MT,SO>, SO > >
124 template<
typename MT2 >
127 enum :
bool { value = useAssign };
139 template<
typename MT2 >
140 struct UseSMPAssign {
141 enum :
bool { value = MT2::smpAssignable && useAssign };
152 template<
typename MT2 >
153 struct GetConstIterator {
156 struct Failure {
using Type = INVALID_TYPE; };
183 enum :
bool { simdEnabled = MT::simdEnabled };
186 enum :
bool { smpAssignable = MT::smpAssignable };
229 if( i >=
dm_.rows() ) {
232 if( j >=
dm_.columns() ) {
251 return dm_.load(i,j);
292 inline size_t rows() const noexcept {
303 return dm_.columns();
323 template<
typename T >
324 inline bool canAlias(
const T* alias )
const noexcept {
325 return dm_.canAlias( alias );
335 template<
typename T >
336 inline bool isAliased(
const T* alias )
const noexcept {
337 return dm_.isAliased( alias );
347 return dm_.isAligned();
357 return dm_.canSMPAssign();
378 template<
typename MT2
388 assign( ~lhs, rhs.
dm_ );
405 template<
typename MT2
415 assign( ~lhs, rhs.
dm_ );
432 template<
typename MT2
442 addAssign( ~lhs, rhs.
dm_ );
459 template<
typename MT2
469 addAssign( ~lhs, rhs.
dm_ );
486 template<
typename MT2
496 subAssign( ~lhs, rhs.
dm_ );
513 template<
typename MT2
523 subAssign( ~lhs, rhs.
dm_ );
540 template<
typename MT2
550 schurAssign( ~lhs, rhs.
dm_ );
567 template<
typename MT2
577 schurAssign( ~lhs, rhs.
dm_ );
594 template<
typename MT2
604 multAssign( ~lhs, rhs.
dm_ );
621 template<
typename MT2
631 multAssign( ~lhs, rhs.
dm_ );
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
837 template<
typename MT2
865 template<
typename MT2
893 template<
typename MT2
940 template<
typename MT
966 template<
typename MT
975 return IdentityMatrix<ElementType_<MT>,SO>( (~dm).
rows() );
992 template<
typename MT
1026 template<
typename MT
1036 return declherm_backend( ~dm );
1063 template<
typename MT
1091 template<
typename MT,
bool SO >
1092 struct Size< DMatDeclHermExpr<MT,SO>, 0UL >
1093 :
public Size<MT,0UL>
1096 template<
typename MT,
bool SO >
1097 struct Size< DMatDeclHermExpr<MT,SO>, 1UL >
1098 :
public Size<MT,1UL>
1114 template<
typename MT,
bool SO >
1132 template<
typename MT,
bool SO >
1133 struct IsAligned< DMatDeclHermExpr<MT,SO> >
1150 template<
typename MT,
bool SO >
1168 template<
typename MT,
bool SO >
1186 template<
typename MT,
bool SO >
1187 struct IsLower< DMatDeclHermExpr<MT,SO> >
1204 template<
typename MT,
bool SO >
1222 template<
typename MT,
bool SO >
1240 template<
typename MT,
bool SO >
1241 struct IsUpper< DMatDeclHermExpr<MT,SO> >
1258 template<
typename MT,
bool SO >
1276 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.
ConstIterator begin(size_t i) const
Returns an iterator to the first non-zero element of row/column i.
Definition: DMatDeclHermExpr.h:271
Compile time check for low-level access to constant data.This type trait tests whether the given data...
Definition: HasConstDataAccess.h:75
bool canSMPAssign() const noexcept
Returns whether the expression can be used in SMP assignments.
Definition: DMatDeclHermExpr.h:356
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
Header file for basic type definitions.
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: DMatDeclHermExpr.h:302
const ElementType * data() const noexcept
Low-level data access to the matrix elements.
Definition: DMatDeclHermExpr.h:260
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
#define BLAZE_CONSTRAINT_MUST_BE_DENSE_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is not a dense, N-dimensional matrix type...
Definition: DenseMatrix.h:61
Base class for all declaration expression templates.The Declaration class serves as a tag for all dec...
Definition: Declaration.h:70
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: DMatDeclHermExpr.h:167
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
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: DMatDeclHermExpr.h:324
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
Compile time check for upper triangular matrices.This type trait tests whether or not the given templ...
Definition: IsUpper.h:87
bool isAligned() const noexcept
Returns whether the operands of the expression are properly aligned in memory.
Definition: DMatDeclHermExpr.h:346
Header file for the RequiresEvaluation type trait.
Base class for all declherm expression templates.The DeclHermExpr class serves as a tag for all expre...
Definition: DeclHermExpr.h:66
Header file for the SIMD 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: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
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: DMatDeclHermExpr.h:292
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.
ConstIterator end(size_t i) const
Returns an iterator just past the last non-zero element of row/column i.
Definition: DMatDeclHermExpr.h:282
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
Compile time check for the alignment of data types.This type trait tests whether the given data type ...
Definition: IsAligned.h:87
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:71
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
#define BLAZE_ALWAYS_INLINE
Platform dependent setup of an enforced inline keyword.
Definition: Inline.h:85
Header file for the DeclHermExpr base class.
Header file for the If 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:102
Header file for the Or class template.
Expression object for dense matrix-scalar multiplications.The DMatScalarMultExpr class represents the...
Definition: DMatScalarMultExpr.h:107
DeclHermTrait_< RT > ResultType
Result type for expression template evaluations.
Definition: DMatDeclHermExpr.h:165
#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 DenseMatrix base class.
Header file for the Not class template.
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: DMatDeclHermExpr.h:213
const Element * ConstIterator
Iterator over constant elements.
Definition: CompressedMatrix.h:3085
typename T::ElementType ElementType_
Alias declaration for nested ElementType type definitions.The ElementType_ alias declaration provides...
Definition: Aliases.h:163
If_< RequiresEvaluation< MT >, const ResultType, const DMatDeclHermExpr &> CompositeType
Data type for composite expression templates.
Definition: DMatDeclHermExpr.h:172
Header file for the IsLower type trait.
Header file for the IsAligned type trait.
#define BLAZE_CONSTRAINT_MUST_NOT_BE_MATMATMULTEXPR_TYPE(T)
Constraint on the data type.In case the given data type T is a matrix/matrix multiplication expressio...
Definition: MatMatMultExpr.h:87
Header file for the IsUniTriangular type trait.
RightOperand rightOperand() const noexcept
Returns the right-hand side scalar operand.
Definition: DMatScalarMultExpr.h:564
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.
ResultType_< MT > RT
Result type of the dense matrix expression.
Definition: DMatDeclHermExpr.h:110
Compile time check for strictly upper triangular matrices.This type trait tests whether or not the gi...
Definition: IsStrictlyUpper.h:86
typename GetConstIterator< MT >::Type ConstIterator
Iterator over the elements of the dense matrix.
Definition: DMatDeclHermExpr.h:175
Header file for the implementation of the base template of the HeritianMatrix.
Header file for all forward declarations for expression class templates.
Header file for the EnableIf class template.
Header file for the IsStrictlyLower type trait.
Operand operand() const noexcept
Returns the dense matrix operand.
Definition: DMatDeclHermExpr.h:312
Compile time check for lower unitriangular matrices.This type trait tests whether or not the given te...
Definition: IsUniLower.h:86
BLAZE_ALWAYS_INLINE auto load(size_t i, size_t j) const noexcept
Access to the SIMD elements of the matrix.
Definition: DMatDeclHermExpr.h:246
Constraint on the data type.
Header file for the HasConstDataAccess type trait.
Header file for the Declaration base class.
If_< IsExpression< MT >, const MT, const MT &> Operand
Composite data type of the dense matrix expression.
Definition: DMatDeclHermExpr.h:178
Header file for run time assertion macros.
Utility type for generic codes.
ReturnType_< MT > ReturnType
Return type for expression template evaluations.
Definition: DMatDeclHermExpr.h:169
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
SIMD characteristics of data types.The SIMDTrait class template provides the SIMD characteristics of ...
Definition: SIMDTrait.h:296
#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.
ElementType_< MT > ElementType
Resulting element type.
Definition: DMatDeclHermExpr.h:168
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
OppositeType_< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: DMatDeclHermExpr.h:166
Compile time check for strictly lower triangular matrices.This type trait tests whether or not the gi...
Definition: IsStrictlyLower.h:86
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: DMatDeclHermExpr.h:228
decltype(auto) declherm(const DenseMatrix< MT, SO > &dm)
Declares the given dense matrix expression dm as Hermitian.
Definition: DMatDeclHermExpr.h:1028
Expression object for the explicit Hermitian declaration of dense matrices.The DMatDeclHermExpr class...
Definition: DMatDeclHermExpr.h:104
Compile time evaluation of the size of vectors and matrices.The Size type trait evaluates the size of...
Definition: Size.h:80
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: DMatDeclHermExpr.h:336
#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.
Constraint on the data type.
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
LeftOperand leftOperand() const noexcept
Returns the left-hand side dense matrix operand.
Definition: DMatScalarMultExpr.h:554
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
Operand dm_
Dense matrix of the declherm expression.
Definition: DMatDeclHermExpr.h:363
DMatDeclHermExpr(const MT &dm) noexcept
Constructor for the DMatDeclHermExpr class.
Definition: DMatDeclHermExpr.h:199
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.