35 #ifndef _BLAZE_MATH_EXPRESSIONS_TSMATTSMATSUBEXPR_H_ 36 #define _BLAZE_MATH_EXPRESSIONS_TSMATTSMATSUBEXPR_H_ 92 template<
typename MT1
94 class TSMatTSMatSubExpr
95 :
public MatMatSubExpr< SparseMatrix< TSMatTSMatSubExpr<MT1,MT2>, true > >
115 static constexpr
bool returnExpr = ( !IsTemporary_v<RN1> && !IsTemporary_v<RN2> );
128 template<
typename T1,
typename T2,
typename T3 >
129 static constexpr
bool UseSymmetricKernel_v =
130 ( IsRowMajorMatrix_v<T1> && IsSymmetric_v<T2> && IsSymmetric_v<T3> );
141 template<
typename MT >
142 static constexpr
bool UseSMPAssign_v = MT::smpAssignable;
211 if( i >=
lhs_.rows() ) {
214 if( j >=
lhs_.columns() ) {
226 inline size_t rows() const noexcept {
237 return lhs_.columns();
247 return lhs_.nonZeros() +
rhs_.nonZeros();
258 return lhs_.nonZeros(i) +
rhs_.nonZeros(i);
288 template<
typename T >
289 inline bool canAlias(
const T* alias )
const noexcept {
290 return (
lhs_.canAlias( alias ) ||
rhs_.canAlias( alias ) );
300 template<
typename T >
301 inline bool isAliased(
const T* alias )
const noexcept {
302 return (
lhs_.isAliased( alias ) ||
rhs_.isAliased( alias ) );
325 template<
typename MT
334 assign( ~lhs, rhs.lhs_ );
337 subAssign( ~lhs, rhs.rhs_ );
348 for(
size_t j=0UL; j<(~lhs).
columns(); ++j ) {
349 const auto end( B.end(j) );
350 for(
auto element=B.begin(j); element!=
end; ++element ) {
351 if(
isDefault( (~lhs)(element->index(),j) ) )
352 (~lhs)(element->index(),j) = -element->value();
354 (~lhs)(element->index(),j) -= element->value();
375 template<
typename MT >
396 const size_t m( rhs.rows() );
397 const size_t n( rhs.columns() );
400 std::vector<size_t> nonzeros( m, 0UL );
401 for(
size_t j=0UL; j<n; ++j )
403 const auto lend( A.end(j) );
404 const auto rend( B.end(j) );
406 auto l( A.begin(j) );
407 auto r( B.begin(j) );
409 while( l != lend && r != rend )
411 if( l->index() < r->index() ) {
412 ++nonzeros[l->index()];
415 else if( l->index() > r->index() ) {
416 ++nonzeros[r->index()];
420 ++nonzeros[l->index()];
427 ++nonzeros[l->index()];
432 ++nonzeros[r->index()];
438 for(
size_t i=0UL; i<m; ++i ) {
439 (~lhs).reserve( i, nonzeros[i] );
443 for(
size_t j=0UL; j<n; ++j )
445 const auto lend( A.end(j) );
446 const auto rend( B.end(j) );
448 auto l( A.begin(j) );
449 auto r( B.begin(j) );
451 while( l != lend && r != rend )
453 if( l->index() < r->index() ) {
454 (~lhs).append( l->index(), j, l->value() );
457 else if( l->index() > r->index() ) {
458 (~lhs).append( r->index(), j, -r->value() );
462 (~lhs).append( l->index(), j, l->value() - r->value() );
469 (~lhs).append( l->index(), j, l->value() );
474 (~lhs).append( r->index(), j, -r->value() );
495 template<
typename MT >
496 friend inline auto assign( SparseMatrix<MT,false>& lhs,
const TSMatTSMatSubExpr& rhs )
497 -> EnableIf_t< UseSymmetricKernel_v<MT,MT1,MT2> >
506 assign( ~lhs,
trans( rhs.lhs_ ) -
trans( rhs.rhs_ ) );
524 template<
typename MT >
525 friend inline void assign( SparseMatrix<MT,true>& lhs,
const TSMatTSMatSubExpr& rhs )
543 (~lhs).reserve( A.nonZeros() + B.nonZeros() );
546 for(
size_t j=0UL; j<(~lhs).
columns(); ++j )
548 const auto lend( A.end(j) );
549 const auto rend( B.end(j) );
551 auto l( A.begin(j) );
552 auto r( B.begin(j) );
554 while( l != lend && r != rend )
556 if( l->index() < r->index() ) {
557 (~lhs).append( l->index(), j, l->value() );
560 else if( l->index() > r->index() ) {
561 (~lhs).append( r->index(), j, -r->value() );
565 (~lhs).append( l->index(), j, l->value() - r->value() );
572 (~lhs).append( l->index(), j, l->value() );
577 (~lhs).append( r->index(), j, -r->value() );
581 (~lhs).finalize( j );
600 template<
typename MT
602 friend inline void addAssign( DenseMatrix<MT,SO>& lhs,
const TSMatTSMatSubExpr& rhs )
609 addAssign( ~lhs, rhs.lhs_ );
610 subAssign( ~lhs, rhs.rhs_ );
632 template<
typename MT
634 friend inline void subAssign( DenseMatrix<MT,SO>& lhs,
const TSMatTSMatSubExpr& rhs )
641 subAssign( ~lhs, rhs.lhs_ );
642 addAssign( ~lhs, rhs.rhs_ );
664 template<
typename MT
666 friend inline void schurAssign( DenseMatrix<MT,SO>& lhs,
const TSMatTSMatSubExpr& rhs )
678 schurAssign( ~lhs, tmp );
718 template<
typename MT
721 -> EnableIf_t< UseSMPAssign_v<MT> >
753 template<
typename MT
756 -> EnableIf_t< UseSMPAssign_v<MT> >
788 template<
typename MT
791 -> EnableIf_t< UseSMPAssign_v<MT> >
854 template<
typename MT1
856 ,
DisableIf_t< ( ( IsZero_v<MT1> || IsZero_v<MT2> ) &&
857 IsSame_v< ElementType_t<MT1>, ElementType_t<MT2> > ) ||
858 ( IsZero_v<MT1> && IsZero_v<MT2> ) >* =
nullptr >
859 inline const TSMatTSMatSubExpr<MT1,MT2>
860 tsmattsmatsub(
const SparseMatrix<MT1,true>& lhs,
const SparseMatrix<MT2,true>& rhs )
867 return TSMatTSMatSubExpr<MT1,MT2>( ~lhs, ~rhs );
887 template<
typename MT1
889 , EnableIf_t< !IsZero_v<MT1> && IsZero_v<MT2> &&
890 IsSame_v< ElementType_t<MT1>, ElementType_t<MT2> > >* =
nullptr >
892 tsmattsmatsub(
const SparseMatrix<MT1,true>& lhs,
const SparseMatrix<MT2,true>& rhs )
921 template<
typename MT1
923 , EnableIf_t< IsZero_v<MT1> && !IsZero_v<MT2> &&
924 IsSame_v< ElementType_t<MT1>, ElementType_t<MT2> > >* =
nullptr >
925 inline decltype(
auto)
926 tsmattsmatsub( const SparseMatrix<MT1,true>& lhs, const SparseMatrix<MT2,true>& rhs )
953 template<
typename MT1
955 , EnableIf_t< IsZero_v<MT1> && IsZero_v<MT2> >* =
nullptr >
956 inline decltype(
auto)
957 tsmattsmatsub( const SparseMatrix<MT1,true>& lhs, const SparseMatrix<MT2,true>& rhs )
966 using ReturnType =
const SubTrait_t< ResultType_t<MT1>, ResultType_t<MT2> >;
971 return ReturnType( (~lhs).
rows(), (~lhs).
columns() );
1004 template<
typename MT1
1006 inline decltype(
auto)
1015 return tsmattsmatsub( ~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.
size_t nonZeros(size_t i) const
Returns the number of non-zero elements in the specified row.
Definition: TSMatTSMatSubExpr.h:257
typename SubTrait< T1, T2 >::Type SubTrait_t
Auxiliary alias declaration for the SubTrait class template.The SubTrait_t alias declaration provides...
Definition: SubTrait.h:238
Header file for the subtraction trait.
CompositeType_t< MT2 > CT2
Composite type of the right-hand side sparse matrix expression.
Definition: TSMatTSMatSubExpr.h:105
Header file for basic type definitions.
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< MT2 > RT2
Result type of the right-hand side sparse matrix expression.
Definition: TSMatTSMatSubExpr.h:101
typename T::ResultType ResultType_t
Alias declaration for nested ResultType type definitions.The ResultType_t alias declaration provides ...
Definition: Aliases.h:390
ReturnType_t< MT1 > RN1
Return type of the left-hand side sparse matrix expression.
Definition: TSMatTSMatSubExpr.h:102
Header file for the serial shim.
Header file for the IsSame and IsStrictlySame type traits.
Constraint on the data type.
TransposeType_t< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: TSMatTSMatSubExpr.h:152
Header file for the MAYBE_UNUSED function template.
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: TSMatTSMatSubExpr.h:210
Header file for the Computation base class.
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: TSMatTSMatSubExpr.h:195
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: TSMatTSMatSubExpr.h:301
SubTrait_t< RT1, RT2 > ResultType
Result type for expression template evaluations.
Definition: TSMatTSMatSubExpr.h:150
typename T::ReturnType ReturnType_t
Alias declaration for nested ReturnType type definitions.The ReturnType_t alias declaration provides ...
Definition: Aliases.h:410
static constexpr bool returnExpr
Compilation switch for the selection of the subscript operator return type.
Definition: TSMatTSMatSubExpr.h:115
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
LeftOperand lhs_
Left-hand side sparse matrix of the subtraction expression.
Definition: TSMatTSMatSubExpr.h:308
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: TSMatTSMatSubExpr.h:226
Header file for the SparseMatrix base class.
Constraint on the data type.
constexpr bool IsResizable_v
Auxiliary variable template for the IsResizable type trait.The IsResizable_v variable template provid...
Definition: IsResizable.h:133
ElementType_t< ResultType > ElementType
Resulting element type.
Definition: TSMatTSMatSubExpr.h:153
const ResultType CompositeType
Data type for composite expression templates.
Definition: TSMatTSMatSubExpr.h:159
Header file for the DisableIf class template.
Header file for the IsTemporary type trait class.
If_t< IsExpression_v< MT1 >, const MT1, const MT1 & > LeftOperand
Composite type of the left-hand side sparse matrix expression.
Definition: TSMatTSMatSubExpr.h:162
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
TSMatTSMatSubExpr(const MT1 &lhs, const MT2 &rhs) noexcept
Constructor for the TSMatTSMatSubExpr class.
Definition: TSMatTSMatSubExpr.h:179
#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
ResultType_t< MT1 > RT1
Result type of the left-hand side sparse matrix expression.
Definition: TSMatTSMatSubExpr.h:100
#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 MatMatSubExpr base class.
constexpr void MAYBE_UNUSED(const Args &...)
Suppression of unused parameter warnings.
Definition: MaybeUnused.h:81
If_t< IsExpression_v< MT2 >, const MT2, const MT2 & > RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: TSMatTSMatSubExpr.h:165
Header file for the exception macros of the math module.
RightOperand rhs_
Right-hand side sparse matrix of the subtraction expression.
Definition: TSMatTSMatSubExpr.h:309
MT::Iterator end(Matrix< MT, SO > &matrix, size_t i)
Returns an iterator just past the last element of row/column i.
Definition: Matrix.h:438
Constraint on the data type.
Header file for the EnableIf class template.
typename T::OppositeType OppositeType_t
Alias declaration for nested OppositeType type definitions.The OppositeType_t alias declaration provi...
Definition: Aliases.h:270
const If_t< returnExpr, ExprReturnType, ElementType > ReturnType
Return type for expression template evaluations.
Definition: TSMatTSMatSubExpr.h:156
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: TSMatTSMatSubExpr.h:289
#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
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.
Expression object for transpose sparse matrix-transpose sparse matrix subtractions....
Definition: Forward.h:193
typename T::CompositeType CompositeType_t
Alias declaration for nested CompositeType type definitions.The CompositeType_t alias declaration pro...
Definition: Aliases.h:90
auto smpAddAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs) -> EnableIf_t< IsDenseMatrix_v< MT1 > >
Default implementation of the SMP addition assignment of a matrix to a dense matrix.
Definition: DenseMatrix.h:131
ReturnType_t< MT2 > RN2
Return type of the right-hand side sparse matrix expression.
Definition: TSMatTSMatSubExpr.h:103
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.
Header file for the isDefault shim.
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
#define BLAZE_CONSTRAINT_MUST_NOT_REQUIRE_EVALUATION(T)
Constraint on the data type.In case the given data type T requires an intermediate evaluation within ...
Definition: RequiresEvaluation.h:81
LeftOperand leftOperand() const noexcept
Returns the left-hand side transpose sparse matrix operand.
Definition: TSMatTSMatSubExpr.h:267
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
RightOperand rightOperand() const noexcept
Returns the right-hand side transpose sparse matrix operand.
Definition: TSMatTSMatSubExpr.h:277
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: TSMatTSMatSubExpr.h:236
static constexpr bool smpAssignable
Compilation switch for the expression template assignment strategy.
Definition: TSMatTSMatSubExpr.h:170
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 IsRowMajorMatrix type trait.
Header file for the IsComputation type trait class.
CompositeType_t< MT1 > CT1
Composite type of the left-hand side sparse matrix expression.
Definition: TSMatTSMatSubExpr.h:104
auto smpSubAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs) -> EnableIf_t< IsDenseMatrix_v< MT1 > >
Default implementation of the SMP subtraction assignment of a matrix to dense matrix.
Definition: DenseMatrix.h:162
decltype(std::declval< RN1 >() - std::declval< RN2 >()) ExprReturnType
Expression return type for the subscript operator.
Definition: TSMatTSMatSubExpr.h:118
Header file for the IntegralConstant class template.
#define BLAZE_CONSTRAINT_MUST_FORM_VALID_MATMATSUBEXPR(T1, T2)
Constraint on the data type.In case the given data types T1 and T2 do not form a valid matrix/matrix ...
Definition: MatMatSubExpr.h:103
bool isDefault(const DiagonalProxy< MT > &proxy)
Returns whether the represented element is in default state.
Definition: DiagonalProxy.h:635
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
Header file for the IsResizable type trait.
size_t nonZeros() const
Returns the number of non-zero elements in the sparse matrix.
Definition: TSMatTSMatSubExpr.h:246
constexpr bool IsSame_v
Auxiliary variable template for the IsSame type trait.The IsSame_v variable template provides a conve...
Definition: IsSame.h:159
#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
OppositeType_t< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: TSMatTSMatSubExpr.h:151
#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
Header file for the IsExpression type trait class.
Header file for the function trace functionality.