35 #ifndef _BLAZE_MATH_EXPRESSIONS_TSMATSMATSCHUREXPR_H_ 36 #define _BLAZE_MATH_EXPRESSIONS_TSMATSMATSCHUREXPR_H_ 98 template<
typename MT1
100 class TSMatSMatSchurExpr
101 :
public SchurExpr< SparseMatrix< TSMatSMatSchurExpr<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 TSMatSMatSchurExpr& rhs )
403 -> DisableIf_t< UseSymmetricKernel_v<MT,MT1> >
411 const OppositeType_t<RT1> A(
serial( rhs.lhs_ ) );
423 assign( ~lhs, A % B );
441 template<
typename MT >
442 friend inline auto assign( SparseMatrix<MT,true>& lhs,
const TSMatSMatSchurExpr& rhs )
443 -> DisableIf_t< UseSymmetricKernel_v<MT,MT2> >
456 const OppositeType_t<RT2> B(
serial( rhs.rhs_ ) );
465 assign( ~lhs, A % B );
483 template<
typename MT >
485 -> EnableIf_t< UseSymmetricKernel_v<MT,MT1> >
492 assign( ~lhs,
trans( rhs.lhs_ ) % rhs.rhs_ );
510 template<
typename MT >
512 -> EnableIf_t< UseSymmetricKernel_v<MT,MT2> >
521 assign( ~lhs, rhs.lhs_ %
trans( rhs.rhs_ ) );
539 template<
typename MT >
540 friend inline auto addAssign( DenseMatrix<MT,false>& lhs,
const TSMatSMatSchurExpr& rhs )
541 -> DisableIf_t< UseSymmetricKernel_v<MT,MT1> >
549 const OppositeType_t<RT1> A(
serial( rhs.lhs_ ) );
561 addAssign( ~lhs, A % B );
579 template<
typename MT >
580 friend inline auto addAssign( DenseMatrix<MT,true>& lhs,
const TSMatSMatSchurExpr& rhs )
581 -> DisableIf_t< UseSymmetricKernel_v<MT,MT2> >
594 const OppositeType_t<RT2> B(
serial( rhs.rhs_ ) );
603 addAssign( ~lhs, A % B );
621 template<
typename MT >
623 -> EnableIf_t< UseSymmetricKernel_v<MT,MT1> >
630 addAssign( ~lhs,
trans( rhs.lhs_ ) % rhs.rhs_ );
648 template<
typename MT >
650 -> EnableIf_t< UseSymmetricKernel_v<MT,MT2> >
659 addAssign( ~lhs, rhs.lhs_ %
trans( rhs.rhs_ ) );
681 template<
typename MT >
682 friend inline auto subAssign( DenseMatrix<MT,false>& lhs,
const TSMatSMatSchurExpr& rhs )
683 -> DisableIf_t< UseSymmetricKernel_v<MT,MT1> >
691 const OppositeType_t<RT1> A(
serial( rhs.lhs_ ) );
703 subAssign( ~lhs, A % B );
721 template<
typename MT >
722 friend inline auto subAssign( DenseMatrix<MT,true>& lhs,
const TSMatSMatSchurExpr& rhs )
723 -> DisableIf_t< UseSymmetricKernel_v<MT,MT2> >
736 const OppositeType_t<RT2> B(
serial( rhs.rhs_ ) );
745 subAssign( ~lhs, A % B );
763 template<
typename MT >
765 -> EnableIf_t< UseSymmetricKernel_v<MT,MT1> >
772 subAssign( ~lhs,
trans( rhs.lhs_ ) % rhs.rhs_ );
790 template<
typename MT >
792 -> EnableIf_t< UseSymmetricKernel_v<MT,MT2> >
801 subAssign( ~lhs, rhs.lhs_ %
trans( rhs.rhs_ ) );
823 template<
typename MT >
824 friend inline auto schurAssign( DenseMatrix<MT,false>& lhs,
const TSMatSMatSchurExpr& rhs )
825 -> DisableIf_t< UseSymmetricKernel_v<MT,MT1> >
833 const OppositeType_t<RT1> A(
serial( rhs.lhs_ ) );
845 schurAssign( ~lhs, A % B );
863 template<
typename MT >
864 friend inline auto schurAssign( DenseMatrix<MT,true>& lhs,
const TSMatSMatSchurExpr& rhs )
865 -> DisableIf_t< UseSymmetricKernel_v<MT,MT2> >
878 const OppositeType_t<RT2> B(
serial( rhs.rhs_ ) );
887 schurAssign( ~lhs, A % B );
905 template<
typename MT >
906 friend inline auto schurAssign( Matrix<MT,false>& lhs,
const TSMatSMatSchurExpr& rhs )
907 -> EnableIf_t< UseSymmetricKernel_v<MT,MT1> >
914 schurAssign( ~lhs,
trans( rhs.lhs_ ) % rhs.rhs_ );
932 template<
typename MT >
934 -> EnableIf_t< UseSymmetricKernel_v<MT,MT2> >
943 schurAssign( ~lhs, rhs.lhs_ %
trans( 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 TSMatSMatSchurExpr<MT1,MT2>
1066 tsmatsmatschur(
const SparseMatrix<MT1,true>& lhs,
const SparseMatrix<MT2,false>& rhs )
1073 return TSMatSMatSchurExpr<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 tsmatsmatschur( const SparseMatrix<MT1,true>& lhs, const SparseMatrix<MT2,false>& 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 tsmatsmatschur(
const SparseMatrix<MT1,true>& lhs,
const SparseMatrix<MT2,false>& 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 tsmatsmatschur( ~lhs, ~rhs );
Constraint on the data type.
#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.
#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.
static constexpr bool smpAssignable
Compilation switch for the expression template assignment strategy.
Definition: TSMatSMatSchurExpr.h:164
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
ResultType_t< MT1 > RT1
Result type of the left-hand side sparse matrix expression.
Definition: TSMatSMatSchurExpr.h:106
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.
Constraint on the data type.
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: TSMatSMatSchurExpr.h:230
Header file for the MAYBE_UNUSED function template.
OppositeType_t< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: TSMatSMatSchurExpr.h:145
Header file for the Computation base class.
Constraints on the storage order of matrix types.
ReturnType_t< MT2 > RN2
Return type of the right-hand side sparse matrix expression.
Definition: TSMatSMatSchurExpr.h:109
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: TSMatSMatSchurExpr.h:220
LeftOperand lhs_
Left-hand side sparse matrix of the Schur product expression.
Definition: TSMatSMatSchurExpr.h:302
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.
size_t nonZeros(size_t i) const
Returns the number of non-zero elements in the specified row.
Definition: TSMatSMatSchurExpr.h:251
#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
RightOperand rhs_
Right-hand side sparse matrix of the Schur product expression.
Definition: TSMatSMatSchurExpr.h:303
RightOperand rightOperand() const noexcept
Returns the right-hand side sparse matrix operand.
Definition: TSMatSMatSchurExpr.h:271
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
ElementType_t< ResultType > ElementType
Resulting element type.
Definition: TSMatSMatSchurExpr.h:147
Header file for the SparseMatrix base class.
Constraint on the data type.
TransposeType_t< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: TSMatSMatSchurExpr.h:146
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
Header file for the DisableIf class template.
Header file for the IsTemporary type trait class.
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
Header file for the If class template.
CompositeType_t< MT1 > CT1
Composite type of the left-hand side sparse matrix expression.
Definition: TSMatSMatSchurExpr.h:110
#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
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
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: TSMatSMatSchurExpr.h:189
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: TSMatSMatSchurExpr.h:295
Header file for the IsLower type trait.
constexpr void MAYBE_UNUSED(const Args &...)
Suppression of unused parameter warnings.
Definition: MaybeUnused.h:81
If_t< IsExpression_v< MT1 >, const MT1, const MT1 & > LeftOperand
Composite type of the left-hand side sparse matrix expression.
Definition: TSMatSMatSchurExpr.h:156
Header file for the exception macros of the math module.
ResultType_t< MT2 > RT2
Result type of the right-hand side sparse matrix expression.
Definition: TSMatSMatSchurExpr.h:107
If_t< IsExpression_v< MT2 >, const MT2, const MT2 & > RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: TSMatSMatSchurExpr.h:159
Header file for the EnableIf class template.
Header file for the IsStrictlyLower type trait.
typename T::OppositeType OppositeType_t
Alias declaration for nested OppositeType type definitions.The OppositeType_t alias declaration provi...
Definition: Aliases.h:270
size_t nonZeros() const
Returns the number of non-zero elements in the sparse matrix.
Definition: TSMatSMatSchurExpr.h:240
#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
TSMatSMatSchurExpr(const MT1 &lhs, const MT2 &rhs) noexcept
Constructor for the TSMatSMatSchurExpr class.
Definition: TSMatSMatSchurExpr.h:173
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.
const ResultType CompositeType
Data type for composite expression templates.
Definition: TSMatSMatSchurExpr.h:153
typename T::CompositeType CompositeType_t
Alias declaration for nested CompositeType type definitions.The CompositeType_t alias declaration pro...
Definition: Aliases.h:90
SchurTrait_t< RT1, RT2 > ResultType
Result type for expression template evaluations.
Definition: TSMatSMatSchurExpr.h:144
LeftOperand leftOperand() const noexcept
Returns the left-hand side transpose sparse matrix operand.
Definition: TSMatSMatSchurExpr.h:261
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_t< MT1 > RN1
Return type of the left-hand side sparse matrix expression.
Definition: TSMatSMatSchurExpr.h:108
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
static constexpr bool returnExpr
Compilation switch for the selection of the subscript operator return type.
Definition: TSMatSMatSchurExpr.h:121
decltype(std::declval< RN1 >() *std::declval< RN2 >()) ExprReturnType
Expression return type for the subscript operator.
Definition: TSMatSMatSchurExpr.h:124
decltype(auto) trans(const DenseMatrix< MT, SO > &dm)
Calculation of the transpose of the given dense matrix.
Definition: DMatTransExpr.h:765
CompositeType_t< MT2 > CT2
Composite type of the right-hand side sparse matrix expression.
Definition: TSMatSMatSchurExpr.h:111
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: TSMatSMatSchurExpr.h:204
Header file for the IsComputation type trait class.
Header file for the StorageOrder type trait.
Header file for the IntegralConstant class template.
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: TSMatSMatSchurExpr.h:283
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
Expression object for transpose sparse matrix-sparse matrix Schur products.The TSMatSMatSchurExpr cla...
Definition: Forward.h:185
const If_t< returnExpr, ExprReturnType, ElementType > ReturnType
Return type for expression template evaluations.
Definition: TSMatSMatSchurExpr.h:150
Header file for the IsExpression type trait class.
Header file for the function trace functionality.
Constraint on the data type.