35 #ifndef _BLAZE_MATH_EXPRESSIONS_SMATTSMATSCHUREXPR_H_ 36 #define _BLAZE_MATH_EXPRESSIONS_SMATTSMATSCHUREXPR_H_ 98 template<
typename MT1
100 class SMatTSMatSchurExpr
101 :
public SchurExpr< SparseMatrix< SMatTSMatSchurExpr<MT1,MT2>, false > >
102 ,
private Computation
121 static constexpr
bool returnExpr = ( !IsTemporary_v<RN1> && !IsTemporary_v<RN2> );
134 template<
typename T1,
typename T2 >
135 static constexpr
bool UseSymmetricKernel_v =
136 ( ( StorageOrder_v<T1> != StorageOrder_v<T2> ) && IsSymmetric_v<T2> );
205 if( i >=
lhs_.rows() ) {
208 if( j >=
lhs_.columns() ) {
220 inline size_t rows() const noexcept {
231 return lhs_.columns();
282 template<
typename T >
283 inline bool canAlias(
const T* alias )
const noexcept {
284 return (
lhs_.canAlias( alias ) ||
rhs_.canAlias( alias ) );
294 template<
typename T >
295 inline bool isAliased(
const T* alias )
const noexcept {
296 return (
lhs_.isAliased( alias ) ||
rhs_.isAliased( alias ) );
319 template<
typename MT >
341 assign( ~lhs, A % B );
359 template<
typename MT >
383 assign( ~lhs, A % B );
401 template<
typename MT >
402 friend inline auto assign( SparseMatrix<MT,false>& lhs,
const SMatTSMatSchurExpr& rhs )
403 -> DisableIf_t< UseSymmetricKernel_v<MT,MT2> >
414 const OppositeType_t<RT2> B(
serial( rhs.rhs_ ) );
423 assign( ~lhs, A % B );
441 template<
typename MT >
442 friend inline auto assign( SparseMatrix<MT,true>& lhs,
const SMatTSMatSchurExpr& rhs )
443 -> DisableIf_t< UseSymmetricKernel_v<MT,MT1> >
453 const OppositeType_t<RT1> A(
serial( rhs.lhs_ ) );
465 assign( ~lhs, A % B );
483 template<
typename MT >
485 -> EnableIf_t< UseSymmetricKernel_v<MT,MT2> >
492 assign( ~lhs, rhs.lhs_ %
trans( rhs.rhs_ ) );
510 template<
typename MT >
512 -> EnableIf_t< UseSymmetricKernel_v<MT,MT1> >
521 assign( ~lhs,
trans( rhs.lhs_ ) % rhs.rhs_ );
539 template<
typename MT >
540 friend inline auto addAssign( DenseMatrix<MT,false>& lhs,
const SMatTSMatSchurExpr& rhs )
541 -> DisableIf_t< UseSymmetricKernel_v<MT,MT2> >
552 const OppositeType_t<RT2> B(
serial( rhs.rhs_ ) );
561 addAssign( ~lhs, A % B );
579 template<
typename MT >
580 friend inline auto addAssign( DenseMatrix<MT,true>& lhs,
const SMatTSMatSchurExpr& rhs )
581 -> DisableIf_t< UseSymmetricKernel_v<MT,MT1> >
591 const OppositeType_t<RT1> A(
serial( rhs.lhs_ ) );
603 addAssign( ~lhs, A % B );
621 template<
typename MT >
623 -> EnableIf_t< UseSymmetricKernel_v<MT,MT2> >
630 addAssign( ~lhs, rhs.lhs_ %
trans( rhs.rhs_ ) );
648 template<
typename MT >
650 -> EnableIf_t< UseSymmetricKernel_v<MT,MT1> >
659 addAssign( ~lhs,
trans( rhs.lhs_ ) % rhs.rhs_ );
681 template<
typename MT >
682 friend inline auto subAssign( DenseMatrix<MT,false>& lhs,
const SMatTSMatSchurExpr& rhs )
683 -> DisableIf_t< UseSymmetricKernel_v<MT,MT2> >
694 const OppositeType_t<RT2> B(
serial( rhs.rhs_ ) );
703 subAssign( ~lhs, A % B );
721 template<
typename MT >
722 friend inline auto subAssign( DenseMatrix<MT,true>& lhs,
const SMatTSMatSchurExpr& rhs )
723 -> DisableIf_t< UseSymmetricKernel_v<MT,MT1> >
733 const OppositeType_t<RT1> A(
serial( rhs.lhs_ ) );
745 subAssign( ~lhs, A % B );
763 template<
typename MT >
765 -> EnableIf_t< UseSymmetricKernel_v<MT,MT2> >
772 subAssign( ~lhs, rhs.lhs_ %
trans( rhs.rhs_ ) );
790 template<
typename MT >
792 -> EnableIf_t< UseSymmetricKernel_v<MT,MT1> >
801 subAssign( ~lhs,
trans( rhs.lhs_ ) % rhs.rhs_ );
823 template<
typename MT >
824 friend inline auto schurAssign( DenseMatrix<MT,false>& lhs,
const SMatTSMatSchurExpr& rhs )
825 -> DisableIf_t< UseSymmetricKernel_v<MT,MT2> >
836 const OppositeType_t<RT2> B(
serial( rhs.rhs_ ) );
845 schurAssign( ~lhs, A % B );
863 template<
typename MT >
864 friend inline auto schurAssign( DenseMatrix<MT,true>& lhs,
const SMatTSMatSchurExpr& rhs )
865 -> DisableIf_t< UseSymmetricKernel_v<MT,MT1> >
875 const OppositeType_t<RT1> A(
serial( rhs.lhs_ ) );
887 schurAssign( ~lhs, A % B );
905 template<
typename MT >
906 friend inline auto schurAssign( Matrix<MT,false>& lhs,
const SMatTSMatSchurExpr& rhs )
907 -> EnableIf_t< UseSymmetricKernel_v<MT,MT2> >
914 schurAssign( ~lhs, rhs.lhs_ %
trans( rhs.rhs_ ) );
932 template<
typename MT >
934 -> EnableIf_t< UseSymmetricKernel_v<MT,MT1> >
943 schurAssign( ~lhs,
trans( rhs.lhs_ ) % rhs.rhs_ );
993 template<
typename MT
1056 template<
typename MT1
1058 ,
DisableIf_t< ( IsUniLower_v<MT1> && IsUniUpper_v<MT2> ) ||
1059 ( IsUniUpper_v<MT1> && IsUniLower_v<MT2> ) ||
1060 ( IsStrictlyLower_v<MT1> && IsUpper_v<MT2> ) ||
1061 ( IsStrictlyUpper_v<MT1> && IsLower_v<MT2> ) ||
1062 ( IsLower_v<MT1> && IsStrictlyUpper_v<MT2> ) ||
1063 ( IsUpper_v<MT1> && IsStrictlyLower_v<MT2> ) ||
1064 ( IsZero_v<MT1> || IsZero_v<MT2> ) >* =
nullptr >
1065 inline const SMatTSMatSchurExpr<MT1,MT2>
1066 smattsmatschur(
const SparseMatrix<MT1,false>& lhs,
const SparseMatrix<MT2,true>& rhs )
1073 return SMatTSMatSchurExpr<MT1,MT2>( ~lhs, ~rhs );
1093 template<
typename MT1
1095 ,
EnableIf_t< ( IsUniLower_v<MT1> && IsUniUpper_v<MT2> ) ||
1096 ( IsUniUpper_v<MT1> && IsUniLower_v<MT2> ) >* =
nullptr >
1097 inline decltype(
auto)
1098 smattsmatschur( const SparseMatrix<MT1,false>& lhs, const SparseMatrix<MT2,true>& rhs )
1107 using ReturnType =
const SchurTrait_t< ResultType_t<MT1>, ResultType_t<MT2> >;
1112 return ReturnType( (~lhs).
rows() );
1132 template<
typename MT1
1134 ,
EnableIf_t< ( IsStrictlyLower_v<MT1> && IsUpper_v<MT2> ) ||
1135 ( IsStrictlyUpper_v<MT1> && IsLower_v<MT2> ) ||
1136 ( IsLower_v<MT1> && IsStrictlyUpper_v<MT2> ) ||
1137 ( IsUpper_v<MT1> && IsStrictlyLower_v<MT2> ) ||
1138 ( IsZero_v<MT1> || IsZero_v<MT2> ) >* =
nullptr >
1139 inline decltype(
auto)
1140 smattsmatschur(
const SparseMatrix<MT1,false>& lhs,
const SparseMatrix<MT2,true>& rhs )
1149 using ReturnType =
const SchurTrait_t< ResultType_t<MT1>, ResultType_t<MT2> >;
1154 return ReturnType( (~lhs).
rows(), (~lhs).
columns() );
1189 template<
typename MT1
1191 inline decltype(
auto)
1200 return smattsmatschur( ~lhs, ~rhs );
Constraint on the data type.
CompositeType_t< MT2 > CT2
Composite type of the right-hand side sparse matrix expression.
Definition: SMatTSMatSchurExpr.h:111
#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.
Headerfile for the generic min algorithm.
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: SMatTSMatSchurExpr.h:295
#define BLAZE_CONSTRAINT_MUST_BE_IDENTITY_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is not an identity matrix type,...
Definition: Identity.h:60
Header file for the Schur product trait.
Header file for the IsUniUpper type trait.
RightOperand rightOperand() const noexcept
Returns the right-hand side transpose sparse matrix operand.
Definition: SMatTSMatSchurExpr.h:271
Header file for basic type definitions.
Header file for all forward declarations for sparse vectors and matrices.
typename If< Condition, T1, T2 >::Type If_t
Auxiliary alias template for the If class template.The If_t alias template provides a convenient shor...
Definition: If.h:109
static constexpr bool returnExpr
Compilation switch for the selection of the subscript operator return type.
Definition: SMatTSMatSchurExpr.h:121
typename T::ResultType ResultType_t
Alias declaration for nested ResultType type definitions.The ResultType_t alias declaration provides ...
Definition: Aliases.h:390
Header file for the serial shim.
ElementType_t< ResultType > ElementType
Resulting element type.
Definition: SMatTSMatSchurExpr.h:147
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: SMatTSMatSchurExpr.h:220
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: SMatTSMatSchurExpr.h:189
OppositeType_t< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: SMatTSMatSchurExpr.h:145
Constraint on the data type.
SchurTrait_t< RT1, RT2 > ResultType
Result type for expression template evaluations.
Definition: SMatTSMatSchurExpr.h:144
Header file for the MAYBE_UNUSED function template.
Header file for the Computation base class.
ResultType_t< MT1 > RT1
Result type of the left-hand side sparse matrix expression.
Definition: SMatTSMatSchurExpr.h:106
Constraints on the storage order of matrix types.
typename T::ReturnType ReturnType_t
Alias declaration for nested ReturnType type definitions.The ReturnType_t alias declaration provides ...
Definition: Aliases.h:410
Header file for the IsUniLower type trait.
#define BLAZE_CONSTRAINT_MUST_FORM_VALID_SCHUREXPR(T1, T2)
Constraint on the data type.In case the given data types T1 and T2 do not form a valid Schur product,...
Definition: SchurExpr.h:103
constexpr size_t columns(const Matrix< MT, SO > &matrix) noexcept
Returns the current number of columns of the matrix.
Definition: Matrix.h:514
Base class for dense matrices.The DenseMatrix class is a base class for all dense matrix classes....
Definition: DenseMatrix.h:81
Base class for sparse matrices.The SparseMatrix class is a base class for all sparse matrix classes....
Definition: Forward.h:145
typename T::ElementType ElementType_t
Alias declaration for nested ElementType type definitions.The ElementType_t alias declaration provide...
Definition: Aliases.h:170
If_t< IsExpression_v< MT2 >, const MT2, const MT2 & > RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: SMatTSMatSchurExpr.h:159
Header file for the SparseMatrix base class.
If_t< IsExpression_v< MT1 >, const MT1, const MT1 & > LeftOperand
Composite type of the left-hand side sparse matrix expression.
Definition: SMatTSMatSchurExpr.h:156
Constraint on the data type.
typename EnableIf< Condition, T >::Type EnableIf_t
Auxiliary type for the EnableIf class template.The EnableIf_t alias declaration provides a convenient...
Definition: EnableIf.h:138
decltype(std::declval< RN1 >() *std::declval< RN2 >()) ExprReturnType
Expression return type for the subscript operator.
Definition: SMatTSMatSchurExpr.h:124
TransposeType_t< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: SMatTSMatSchurExpr.h:146
Header file for the DisableIf class template.
Header file for the IsTemporary type trait class.
Header file for the IsStrictlyUpper type trait.
ReturnType_t< MT1 > RN1
Return type of the left-hand side sparse matrix expression.
Definition: SMatTSMatSchurExpr.h:108
Header file for the IsSymmetric type trait.
Namespace of the Blaze C++ math library.
Definition: Blaze.h:58
Header file for the If class template.
#define BLAZE_CONSTRAINT_MUST_BE_COLUMN_MAJOR_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is not a column-major dense or sparse matri...
Definition: ColumnMajorMatrix.h:61
#define BLAZE_CONSTRAINT_MUST_BE_ZERO_TYPE(T)
Constraint on the data type.In case the given data type T is not a zero vector or matrix type,...
Definition: Zero.h:61
size_t nonZeros() const
Returns the number of non-zero elements in the sparse matrix.
Definition: SMatTSMatSchurExpr.h:240
decltype(auto) min(const DenseMatrix< MT1, SO1 > &lhs, const DenseMatrix< MT2, SO2 > &rhs)
Computes the componentwise minimum of the dense matrices lhs and rhs.
Definition: DMatDMatMapExpr.h:1162
#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
CompositeType_t< MT1 > CT1
Composite type of the left-hand side sparse matrix expression.
Definition: SMatTSMatSchurExpr.h:110
Header file for the IsLower type trait.
constexpr void MAYBE_UNUSED(const Args &...)
Suppression of unused parameter warnings.
Definition: MaybeUnused.h:81
ReturnType_t< MT2 > RN2
Return type of the right-hand side sparse matrix expression.
Definition: SMatTSMatSchurExpr.h:109
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: SMatTSMatSchurExpr.h:283
Header file for the exception macros of the math module.
Expression object for sparse matrix-transpose sparse matrix Schur product.The SMatTSMatSchurExpr clas...
Definition: Forward.h:143
Header file for the EnableIf class template.
Header file for the IsStrictlyLower type trait.
const If_t< returnExpr, ExprReturnType, ElementType > ReturnType
Return type for expression template evaluations.
Definition: SMatTSMatSchurExpr.h:150
typename T::OppositeType OppositeType_t
Alias declaration for nested OppositeType type definitions.The OppositeType_t alias declaration provi...
Definition: Aliases.h:270
#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,...
Definition: Symmetric.h:79
#define BLAZE_CONSTRAINT_MUST_BE_ROW_MAJOR_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is not a row-major dense or sparse matrix t...
Definition: RowMajorMatrix.h:61
typename T::TransposeType TransposeType_t
Alias declaration for nested TransposeType type definitions.The TransposeType_t alias declaration pro...
Definition: Aliases.h:470
Header file for run time assertion macros.
typename T::CompositeType CompositeType_t
Alias declaration for nested CompositeType type definitions.The CompositeType_t alias declaration pro...
Definition: Aliases.h:90
RightOperand rhs_
Right-hand side sparse matrix of the Schur product expression.
Definition: SMatTSMatSchurExpr.h:303
size_t nonZeros(size_t i) const
Returns the number of non-zero elements in the specified row.
Definition: SMatTSMatSchurExpr.h:251
Header file for the SchurExpr base class.
typename SchurTrait< T1, T2 >::Type SchurTrait_t
Auxiliary alias declaration for the SchurTrait class template.The SchurTrait_t alias declaration prov...
Definition: SchurTrait.h:163
Header file for the IsZero type 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
Header file for all forward declarations for expression class templates.
Constraint on the data type.
Constraints on the storage order of matrix types.
decltype(auto) serial(const DenseMatrix< MT, SO > &dm)
Forces the serial evaluation of the given dense matrix expression dm.
Definition: DMatSerialExpr.h:808
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: SMatTSMatSchurExpr.h:204
auto smpSchurAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs) -> EnableIf_t< IsDenseMatrix_v< MT1 > >
Default implementation of the SMP Schur product assignment of a matrix to dense matrix.
Definition: DenseMatrix.h:194
constexpr size_t rows(const Matrix< MT, SO > &matrix) noexcept
Returns the current number of rows of the matrix.
Definition: Matrix.h:498
LeftOperand lhs_
Left-hand side sparse matrix of the Schur product expression.
Definition: SMatTSMatSchurExpr.h:302
LeftOperand leftOperand() const noexcept
Returns the left-hand side sparse matrix operand.
Definition: SMatTSMatSchurExpr.h:261
static constexpr bool smpAssignable
Compilation switch for the expression template assignment strategy.
Definition: SMatTSMatSchurExpr.h:164
SMatTSMatSchurExpr(const MT1 &lhs, const MT2 &rhs) noexcept
Constructor for the SMatTSMatSchurExpr class.
Definition: SMatTSMatSchurExpr.h:173
decltype(auto) trans(const DenseMatrix< MT, SO > &dm)
Calculation of the transpose of the given dense matrix.
Definition: DMatTransExpr.h:765
Header file for the IsComputation type trait class.
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: SMatTSMatSchurExpr.h:230
Header file for the StorageOrder type trait.
Header file for the IntegralConstant class template.
ResultType_t< MT2 > RT2
Result type of the right-hand side sparse matrix expression.
Definition: SMatTSMatSchurExpr.h:107
Header file for the IsUpper type trait.
typename DisableIf< Condition, T >::Type DisableIf_t
Auxiliary type for the DisableIf class template.The DisableIf_t alias declaration provides a convenie...
Definition: DisableIf.h:138
#define BLAZE_CONSTRAINT_MUST_NOT_BE_ZERO_TYPE(T)
Constraint on the data type.In case the given data type T is a zero vector or matrix type,...
Definition: Zero.h:81
#define BLAZE_INTERNAL_ASSERT(expr, msg)
Run time assertion macro for internal checks.In case of an invalid run time expression,...
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
const ResultType CompositeType
Data type for composite expression templates.
Definition: SMatTSMatSchurExpr.h:153
Header file for the IsExpression type trait class.
Header file for the function trace functionality.
Constraint on the data type.