35 #ifndef _BLAZE_MATH_EXPRESSIONS_SMATDECLLOWEXPR_H_ 36 #define _BLAZE_MATH_EXPRESSIONS_SMATDECLLOWEXPR_H_ 101 class SMatDeclLowExpr
102 :
public DeclLowExpr< SparseMatrix< SMatDeclLowExpr<MT,SO>, SO > >
103 ,
public Declaration<MT>
121 template<
typename MT2 >
124 enum :
bool { value = useAssign };
136 template<
typename MT2 >
137 struct UseSMPAssign {
138 enum :
bool { value = MT2::smpAssignable && useAssign };
149 template<
typename MT2 >
150 struct GetConstIterator {
153 struct Failure {
using Type = INVALID_TYPE; };
180 enum :
bool { smpAssignable = MT::smpAssignable };
218 if( i >=
sm_.rows() ) {
221 if( j >=
sm_.columns() ) {
255 inline size_t rows() const noexcept {
266 return sm_.columns();
276 return sm_.nonZeros();
287 return sm_.nonZeros(i);
307 template<
typename T >
308 inline bool canAlias(
const T* alias )
const noexcept {
309 return sm_.canAlias( alias );
319 template<
typename T >
320 inline bool isAliased(
const T* alias )
const noexcept {
321 return sm_.isAliased( alias );
331 return sm_.canSMPAssign();
352 template<
typename MT2
362 assign( ~lhs, rhs.sm_ );
379 template<
typename MT2
389 assign( ~lhs, rhs.sm_ );
406 template<
typename MT2
416 addAssign( ~lhs, rhs.sm_ );
433 template<
typename MT2
443 addAssign( ~lhs, rhs.sm_ );
460 template<
typename MT2
470 subAssign( ~lhs, rhs.sm_ );
487 template<
typename MT2
497 subAssign( ~lhs, rhs.sm_ );
514 template<
typename MT2
524 schurAssign( ~lhs, rhs.sm_ );
541 template<
typename MT2
551 schurAssign( ~lhs, rhs.sm_ );
568 template<
typename MT2
578 multAssign( ~lhs, rhs.sm_ );
595 template<
typename MT2
605 multAssign( ~lhs, rhs.sm_ );
622 template<
typename MT2
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
839 template<
typename MT2
867 template<
typename MT2
913 template<
typename MT
939 template<
typename MT
948 return IdentityMatrix<ElementType_<MT>,SO>( (~sm).
rows() );
965 template<
typename MT
998 template<
typename MT
1008 return decllow_backend( ~sm );
1035 template<
typename MT
1063 template<
typename MT,
bool SO >
1064 struct Rows< SMatDeclLowExpr<MT,SO> >
1081 template<
typename MT,
bool SO >
1082 struct Columns< SMatDeclLowExpr<MT,SO> >
1099 template<
typename MT,
bool SO >
1117 template<
typename MT,
bool SO >
1135 template<
typename MT,
bool SO >
1136 struct IsLower< SMatDeclLowExpr<MT,SO> >
1153 template<
typename MT,
bool SO >
1171 template<
typename MT,
bool SO >
1189 template<
typename MT,
bool SO >
1190 struct IsUpper< SMatDeclLowExpr<MT,SO> >
1191 :
public BoolConstant< Or< IsSymmetric<MT>, IsHermitian<MT>, IsUpper<MT> >::value >
1207 template<
typename MT,
bool SO >
1225 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
DeclLowTrait_< RT > ResultType
Result type for expression template evaluations.
Definition: SMatDeclLowExpr.h:162
RightOperand rightOperand() const noexcept
Returns the right-hand side scalar operand.
Definition: SMatScalarMultExpr.h:478
Header file for basic type definitions.
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: SMatDeclLowExpr.h:308
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
ReturnType_< MT > ReturnType
Return type for expression template evaluations.
Definition: SMatDeclLowExpr.h:166
#define BLAZE_CONSTRAINT_MUST_NOT_BE_UNIUPPER_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is a upper unitriangular matrix type...
Definition: UniUpper.h:81
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
bool canSMPAssign() const noexcept
Returns whether the expression can be used in SMP assignments.
Definition: SMatDeclLowExpr.h:330
Expression object for the explicit lower declaration of sparse matrices.The SMatDeclLowExpr class rep...
Definition: Forward.h:104
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: SMatDeclLowExpr.h:217
Compile time check for upper triangular matrices.This type trait tests whether or not the given templ...
Definition: IsUpper.h:88
typename DeclLowTrait< MT >::Type DeclLowTrait_
Auxiliary alias declaration for the DeclLowTrait type trait.The DeclLowTrait_ alias declaration provi...
Definition: DeclLowTrait.h:176
Header file for the RequiresEvaluation type trait.
Constraint on the data type.
Header file for the IsUniLower type trait.
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: SMatDeclLowExpr.h:202
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.
ConstIterator end(size_t i) const
Returns an iterator just past the last non-zero element of row i.
Definition: SMatDeclLowExpr.h:245
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.
If_< RequiresEvaluation< MT >, const ResultType, const SMatDeclLowExpr &> CompositeType
Data type for composite expression templates.
Definition: SMatDeclLowExpr.h:169
Constraint on the data type.
ConstIterator begin(size_t i) const
Returns an iterator to the first non-zero element of row i.
Definition: SMatDeclLowExpr.h:234
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
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.
ElementType_< MT > ElementType
Resulting element type.
Definition: SMatDeclLowExpr.h:165
Namespace of the Blaze C++ math library.
Definition: Blaze.h:57
Operand operand() const noexcept
Returns the sparse matrix operand.
Definition: SMatDeclLowExpr.h:296
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.
Header file for the decllow trait.
#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 T::ElementType ElementType_
Alias declaration for nested ElementType type definitions.The ElementType_ alias declaration provides...
Definition: Aliases.h:163
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: SMatDeclLowExpr.h:255
decltype(auto) decllow(const DenseMatrix< MT, SO > &dm)
Declares the given dense matrix expression dm as lower.
Definition: DMatDeclLowExpr.h:1027
Header file for the IsLower type trait.
Constraints on the storage order of matrix types.
size_t nonZeros() const
Returns the number of non-zero elements in the sparse matrix.
Definition: SMatDeclLowExpr.h:275
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 DeclLowExpr base class.
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.
Constraint on the data type.
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
Header file for the Declaration base class.
Header file for run time assertion macros.
Utility type for generic codes.
ResultType_< MT > RT
Result type of the sparse matrix expression.
Definition: SMatDeclLowExpr.h:107
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_CONSTRAINT_MUST_NOT_BE_LOWER_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is a lower triangular matrix type...
Definition: Lower.h:81
#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.
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
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: SMatDeclLowExpr.h:164
If_< IsExpression< MT >, const MT, const MT &> Operand
Composite data type of the sparse matrix expression.
Definition: SMatDeclLowExpr.h:175
typename GetConstIterator< MT >::Type ConstIterator
Iterator over the elements of the dense matrix.
Definition: SMatDeclLowExpr.h:172
Header file for the implementation of the base template of the LowerMatrix.
SMatDeclLowExpr(const MT &sm) noexcept
Constructor for the SMatDeclLowExpr class.
Definition: SMatDeclLowExpr.h:188
Operand sm_
Sparse matrix of the decllow expression.
Definition: SMatDeclLowExpr.h:337
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
OppositeType_< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: SMatDeclLowExpr.h:163
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.
size_t nonZeros(size_t i) const
Returns the number of non-zero elements in the specified row.
Definition: SMatDeclLowExpr.h:286
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
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: SMatDeclLowExpr.h:265
#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
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: SMatDeclLowExpr.h:320
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.