35 #ifndef _BLAZE_MATH_EXPRESSIONS_DMATDECLSYMEXPR_H_ 36 #define _BLAZE_MATH_EXPRESSIONS_DMATDECLSYMEXPR_H_ 103 template<
typename MT
106 :
public DeclSymExpr< DenseMatrix< DMatDeclSymExpr<MT,SO>, SO > >
125 template<
typename MT2 >
128 enum :
bool { value = useAssign };
140 template<
typename MT2 >
141 struct UseSMPAssign {
142 enum :
bool { value = MT2::smpAssignable && useAssign };
153 template<
typename MT2 >
154 struct GetConstIterator {
157 struct Failure {
using Type = INVALID_TYPE; };
184 enum :
bool { simdEnabled = MT::simdEnabled };
187 enum :
bool { smpAssignable = MT::smpAssignable };
230 if( i >=
dm_.rows() ) {
233 if( j >=
dm_.columns() ) {
252 return dm_.load(i,j);
293 inline size_t rows() const noexcept {
304 return dm_.columns();
324 template<
typename T >
325 inline bool canAlias(
const T* alias )
const noexcept {
326 return dm_.canAlias( alias );
336 template<
typename T >
337 inline bool isAliased(
const T* alias )
const noexcept {
338 return dm_.isAliased( alias );
348 return dm_.isAligned();
358 return dm_.canSMPAssign();
379 template<
typename MT2
389 assign( ~lhs, rhs.
dm_ );
406 template<
typename MT2
416 assign( ~lhs, rhs.
dm_ );
433 template<
typename MT2
443 addAssign( ~lhs, rhs.
dm_ );
460 template<
typename MT2
470 addAssign( ~lhs, rhs.
dm_ );
487 template<
typename MT2
497 subAssign( ~lhs, rhs.
dm_ );
514 template<
typename MT2
524 subAssign( ~lhs, rhs.
dm_ );
541 template<
typename MT2
551 schurAssign( ~lhs, rhs.
dm_ );
568 template<
typename MT2
578 schurAssign( ~lhs, rhs.
dm_ );
595 template<
typename MT2
605 multAssign( ~lhs, rhs.
dm_ );
622 template<
typename MT2
632 multAssign( ~lhs, rhs.
dm_ );
649 template<
typename MT2
676 template<
typename MT2
703 template<
typename MT2
730 template<
typename MT2
757 template<
typename MT2
784 template<
typename MT2
811 template<
typename MT2
838 template<
typename MT2
866 template<
typename MT2
894 template<
typename MT2
941 template<
typename MT
967 template<
typename MT
976 return IdentityMatrix<ElementType_<MT>,SO>( (~dm).
rows() );
993 template<
typename MT
1027 template<
typename MT
1037 return declsym_backend( ~dm );
1064 template<
typename MT
1092 template<
typename MT,
bool SO >
1093 struct Rows< DMatDeclSymExpr<MT,SO> >
1110 template<
typename MT,
bool SO >
1111 struct Columns< DMatDeclSymExpr<MT,SO> >
1128 template<
typename MT,
bool SO >
1129 struct IsAligned< DMatDeclSymExpr<MT,SO> >
1146 template<
typename MT,
bool SO >
1164 template<
typename MT,
bool SO >
1182 template<
typename MT,
bool SO >
1183 struct IsLower< DMatDeclSymExpr<MT,SO> >
1200 template<
typename MT,
bool SO >
1218 template<
typename MT,
bool SO >
1236 template<
typename MT,
bool SO >
1237 struct IsUpper< DMatDeclSymExpr<MT,SO> >
1254 template<
typename MT,
bool SO >
1272 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.
ReturnType_< MT > ReturnType
Return type for expression template evaluations.
Definition: DMatDeclSymExpr.h:170
ConstIterator begin(size_t i) const
Returns an iterator to the first non-zero element of row/column i.
Definition: DMatDeclSymExpr.h:272
Header file for the Rows type trait.
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: DMatDeclSymExpr.h:325
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.
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: DMatDeclSymExpr.h:168
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
Compile time check for upper triangular matrices.This type trait tests whether or not the given templ...
Definition: IsUpper.h:88
Header file for the RequiresEvaluation type trait.
Operand operand() const noexcept
Returns the dense matrix operand.
Definition: DMatDeclSymExpr.h:313
bool isAligned() const noexcept
Returns whether the operands of the expression are properly aligned in memory.
Definition: DMatDeclSymExpr.h:347
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: DMatDeclSymExpr.h:229
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
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.
Header file for the implementation of the base template of the SymmetricMatrix.
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: DMatDeclSymExpr.h:337
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:72
typename DeclSymTrait< MT >::Type DeclSymTrait_
Auxiliary alias declaration for the DeclSymTrait type trait.The DeclSymTrait_ alias declaration provi...
Definition: DeclSymTrait.h:177
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
If_< IsExpression< MT >, const MT, const MT &> Operand
Composite data type of the dense matrix expression.
Definition: DMatDeclSymExpr.h:179
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
#define BLAZE_ALWAYS_INLINE
Platform dependent setup of an enforced inline keyword.
Definition: Inline.h:85
DMatDeclSymExpr(const MT &dm) noexcept
Constructor for the DMatDeclSymExpr class.
Definition: DMatDeclSymExpr.h:200
Header file for the If class template.
ConstIterator end(size_t i) const
Returns an iterator just past the last non-zero element of row/column i.
Definition: DMatDeclSymExpr.h:283
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:110
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: DMatDeclSymExpr.h:293
#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 Columns type trait.
Header file for the Not class template.
const Element * ConstIterator
Iterator over constant elements.
Definition: CompressedMatrix.h:3087
typename T::ElementType ElementType_
Alias declaration for nested ElementType type definitions.The ElementType_ alias declaration provides...
Definition: Aliases.h:163
typename GetConstIterator< MT >::Type ConstIterator
Iterator over the elements of the dense matrix.
Definition: DMatDeclSymExpr.h:176
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: DMatDeclSymExpr.h:303
Operand dm_
Dense matrix of the declsym expression.
Definition: DMatDeclSymExpr.h:364
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:88
Header file for the IsUniTriangular type trait.
RightOperand rightOperand() const noexcept
Returns the right-hand side scalar operand.
Definition: DMatScalarMultExpr.h:567
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
bool canSMPAssign() const noexcept
Returns whether the expression can be used in SMP assignments.
Definition: DMatDeclSymExpr.h:357
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 all forward declarations for expression class templates.
Base class for all declsym expression templates.The DeclSymExpr class serves as a tag for all express...
Definition: DeclSymExpr.h:66
Header file for the EnableIf class template.
Header file for the IsStrictlyLower type trait.
Header file for the DeclSymExpr base class.
Compile time check for lower unitriangular matrices.This type trait tests whether or not the given te...
Definition: IsUniLower.h:86
const ElementType * data() const noexcept
Low-level data access to the matrix elements.
Definition: DMatDeclSymExpr.h:261
Constraint on the data type.
Header file for the Declaration base class.
#define BLAZE_CONSTRAINT_MUST_NOT_BE_SYMMETRIC_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is a symmetric matrix type, a compilation error is created.
Definition: Symmetric.h:79
ResultType_< MT > RT
Result type of the dense matrix expression.
Definition: DMatDeclSymExpr.h:111
Header file for run time assertion macros.
Utility type for generic codes.
ElementType_< MT > ElementType
Resulting element type.
Definition: DMatDeclSymExpr.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
Header file for the declsym trait.
#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
decltype(auto) declsym(const DenseMatrix< MT, SO > &dm)
Declares the given dense matrix expression dm as symmetric.
Definition: DMatDeclSymExpr.h:1029
Compile time check for Hermitian matrices.This type trait tests whether or not the given template par...
Definition: IsHermitian.h:85
DeclSymTrait_< RT > ResultType
Result type for expression template evaluations.
Definition: DMatDeclSymExpr.h:166
Constraint on the data type.
Header file for the HasMember type traits.
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
Expression object for the explicit symmetry declaration of dense matrices.The DMatDeclSymExpr class r...
Definition: DMatDeclSymExpr.h:105
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
Compile time evaluation of the number of rows of a matrix.The Rows type trait evaluates the number of...
Definition: Rows.h:75
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.
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: DMatDeclSymExpr.h:214
If_< RequiresEvaluation< MT >, const ResultType, const DMatDeclSymExpr &> CompositeType
Data type for composite expression templates.
Definition: DMatDeclSymExpr.h:173
Header file for the IsHermitian type trait.
BLAZE_ALWAYS_INLINE auto load(size_t i, size_t j) const noexcept
Access to the SIMD elements of the matrix.
Definition: DMatDeclSymExpr.h:247
BLAZE_ALWAYS_INLINE bool isSquare(const Matrix< MT, SO > &matrix) noexcept
Checks if the given matrix is a square matrix.
Definition: Matrix.h:742
LeftOperand leftOperand() const noexcept
Returns the left-hand side dense matrix operand.
Definition: DMatScalarMultExpr.h:557
#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
OppositeType_< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: DMatDeclSymExpr.h:167
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.