35 #ifndef _BLAZE_MATH_EXPRESSIONS_DMATDECLUPPEXPR_H_ 36 #define _BLAZE_MATH_EXPRESSIONS_DMATDECLUPPEXPR_H_ 102 template<
typename MT
105 :
public DeclUppExpr< DenseMatrix< DMatDeclUppExpr<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
1025 template<
typename MT
1035 return declupp_backend( ~dm );
1062 template<
typename MT
1090 template<
typename MT,
bool SO >
1091 struct Rows< DMatDeclUppExpr<MT,SO> >
1108 template<
typename MT,
bool SO >
1109 struct Columns< DMatDeclUppExpr<MT,SO> >
1126 template<
typename MT,
bool SO >
1127 struct IsAligned< DMatDeclUppExpr<MT,SO> >
1144 template<
typename MT,
bool SO >
1162 template<
typename MT,
bool SO >
1180 template<
typename MT,
bool SO >
1181 struct IsLower< DMatDeclUppExpr<MT,SO> >
1182 :
public BoolConstant< Or< IsSymmetric<MT>, IsHermitian<MT>, IsLower<MT> >::value >
1198 template<
typename MT,
bool SO >
1216 template<
typename MT,
bool SO >
1234 template<
typename MT,
bool SO >
1235 struct IsUpper< DMatDeclUppExpr<MT,SO> >
1252 template<
typename MT,
bool SO >
1270 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.
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
Header file for basic type definitions.
BLAZE_ALWAYS_INLINE auto load(size_t i, size_t j) const noexcept
Access to the SIMD elements of the matrix.
Definition: DMatDeclUppExpr.h:246
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: DMatDeclUppExpr.h:213
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
OppositeType_< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: DMatDeclUppExpr.h:166
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
decltype(auto) declupp(const DenseMatrix< MT, SO > &dm)
Declares the given dense matrix expression dm as upper.
Definition: DMatDeclUppExpr.h:1027
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: DMatDeclUppExpr.h:228
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: DMatDeclUppExpr.h:324
Compile time check for upper triangular matrices.This type trait tests whether or not the given templ...
Definition: IsUpper.h:88
Constraint on the data type.
Header file for the RequiresEvaluation type trait.
const ElementType * data() const noexcept
Low-level data access to the matrix elements.
Definition: DMatDeclUppExpr.h:260
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
bool isAligned() const noexcept
Returns whether the operands of the expression are properly aligned in memory.
Definition: DMatDeclUppExpr.h:346
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
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: DMatDeclUppExpr.h:167
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.
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
Compile time check for upper unitriangular matrices.This type trait tests whether or not the given te...
Definition: IsUniUpper.h:86
typename GetConstIterator< MT >::Type ConstIterator
Iterator over the elements of the dense matrix.
Definition: DMatDeclUppExpr.h:175
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
#define BLAZE_ALWAYS_INLINE
Platform dependent setup of an enforced inline keyword.
Definition: Inline.h:85
Header file for the If class template.
ReturnType_< MT > ReturnType
Return type for expression template evaluations.
Definition: DMatDeclUppExpr.h:169
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
#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
ElementType_< MT > ElementType
Resulting element type.
Definition: DMatDeclUppExpr.h:168
If_< IsExpression< MT >, const MT, const MT &> Operand
Composite data type of the dense matrix expression.
Definition: DMatDeclUppExpr.h:178
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
RightOperand rightOperand() const noexcept
Returns the right-hand side scalar operand.
Definition: DMatScalarMultExpr.h:567
Operand operand() const noexcept
Returns the dense matrix operand.
Definition: DMatDeclUppExpr.h:312
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.
#define BLAZE_CONSTRAINT_MUST_NOT_BE_UPPER_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is a upper triangular matrix type...
Definition: Upper.h:81
Compile time check for strictly upper triangular matrices.This type trait tests whether or not the gi...
Definition: IsStrictlyUpper.h:86
ResultType_< MT > RT
Result type of the dense matrix expression.
Definition: DMatDeclUppExpr.h:110
Header file for all forward declarations for expression class templates.
DMatDeclUppExpr(const MT &dm) noexcept
Constructor for the DMatDeclUppExpr class.
Definition: DMatDeclUppExpr.h:199
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
Operand dm_
Dense matrix of the declupp expression.
Definition: DMatDeclUppExpr.h:363
Header file for the Declaration base class.
Header file for the declupp trait.
Header file for run time assertion macros.
Utility type for generic codes.
Constraint on the data type.
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
If_< RequiresEvaluation< MT >, const ResultType, const DMatDeclUppExpr &> CompositeType
Data type for composite expression templates.
Definition: DMatDeclUppExpr.h:172
Compile time check for Hermitian matrices.This type trait tests whether or not the given template par...
Definition: IsHermitian.h:85
#define BLAZE_CONSTRAINT_MUST_NOT_BE_UNILOWER_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is a lower unitriangular matrix type...
Definition: UniLower.h:81
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
ConstIterator begin(size_t i) const
Returns an iterator to the first non-zero element of row/column i.
Definition: DMatDeclUppExpr.h:271
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: DMatDeclUppExpr.h:336
Compile time check for strictly lower triangular matrices.This type trait tests whether or not the gi...
Definition: IsStrictlyLower.h:86
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: DMatDeclUppExpr.h:302
DeclUppTrait_< RT > ResultType
Result type for expression template evaluations.
Definition: DMatDeclUppExpr.h:165
Expression object for the explicit upper declaration of dense matrices.The DMatDeclUppExpr class repr...
Definition: DMatDeclUppExpr.h:104
Header file for the DeclUppExpr base class.
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 end(size_t i) const
Returns an iterator just past the last non-zero element of row/column i.
Definition: DMatDeclUppExpr.h:282
Compile time evaluation of the number of rows of a matrix.The Rows type trait evaluates the number of...
Definition: Rows.h:75
bool canSMPAssign() const noexcept
Returns whether the expression can be used in SMP assignments.
Definition: DMatDeclUppExpr.h:356
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.
typename DeclUppTrait< MT >::Type DeclUppTrait_
Auxiliary alias declaration for the DeclUppTrait type trait.The DeclUppTrait_ alias declaration provi...
Definition: DeclUppTrait.h:176
Constraint on the data type.
Header file for the implementation of the base template of the UpperMatrix.
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: DMatDeclUppExpr.h:292
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
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
Base class for all declupp expression templates.The DeclUppExpr class serves as a tag for all express...
Definition: DeclUppExpr.h:66
Header file for the TrueType type/value trait base class.
Header file for the IsExpression type trait class.
Header file for the function trace functionality.