35 #ifndef _BLAZE_MATH_EXPRESSIONS_SMATTSMATSUBEXPR_H_ 36 #define _BLAZE_MATH_EXPRESSIONS_SMATTSMATSUBEXPR_H_ 93 template<
typename MT1
95 class SMatTSMatSubExpr
96 :
public MatMatSubExpr< SparseMatrix< SMatTSMatSubExpr<MT1,MT2>, IsZero_v<MT1> > >
116 static constexpr
bool returnExpr = ( !IsTemporary_v<RN1> && !IsTemporary_v<RN2> );
129 template<
typename T1,
typename T2 >
130 static constexpr
bool UseSymmetricKernel_v =
131 ( ( StorageOrder_v<T1> != StorageOrder_v<T2> ) && IsSymmetric_v<T2> );
142 template<
typename MT >
143 static constexpr
bool UseSMPAssign_v = MT::smpAssignable;
216 if( i >=
lhs_.rows() ) {
219 if( j >=
lhs_.columns() ) {
231 inline size_t rows() const noexcept {
242 return lhs_.columns();
252 return lhs_.nonZeros() +
rhs_.nonZeros();
263 return lhs_.nonZeros(i) +
rhs_.nonZeros(i);
293 template<
typename T >
294 inline bool canAlias(
const T* alias )
const noexcept {
295 return (
lhs_.canAlias( alias ) ||
rhs_.canAlias( alias ) );
305 template<
typename T >
306 inline bool isAliased(
const T* alias )
const noexcept {
307 return (
lhs_.isAliased( alias ) ||
rhs_.isAliased( alias ) );
329 template<
typename MT
338 assign( ~lhs, rhs.lhs_ );
341 subAssign( ~lhs, rhs.rhs_ );
352 for(
size_t j=0UL; j<(~lhs).
columns(); ++j ) {
353 const auto end( B.end(j) );
354 for(
auto element=B.begin(j); element!=
end; ++element ) {
355 if(
isDefault( (~lhs)(element->index(),j) ) )
356 (~lhs)(element->index(),j) = -element->value();
358 (~lhs)(element->index(),j) -= element->value();
379 template<
typename MT >
402 (~lhs).reserve( A.nonZeros() + B.nonZeros() );
405 for(
size_t i=0UL; i<(~lhs).
rows(); ++i )
407 const auto lend( A.end(i) );
408 const auto rend( B.end(i) );
410 auto l( A.begin(i) );
411 auto r( B.begin(i) );
413 while( l != lend && r != rend )
415 if( l->index() < r->index() ) {
416 (~lhs).append( i, l->index(), l->value() );
419 else if( l->index() > r->index() ) {
420 (~lhs).append( i, r->index(), -r->value() );
424 (~lhs).append( i, l->index(), l->value() - r->value() );
431 (~lhs).append( i, l->index(), l->value() );
436 (~lhs).append( i, r->index(), -r->value() );
440 (~lhs).finalize( i );
459 template<
typename MT >
460 friend inline auto assign( SparseMatrix<MT,false>& lhs,
const SMatTSMatSubExpr& rhs )
461 -> EnableIf_t< UseSymmetricKernel_v<MT,MT2> >
468 assign( ~lhs, rhs.lhs_ -
trans( rhs.rhs_ ) );
486 template<
typename MT >
487 friend inline auto assign( SparseMatrix<MT,true>& lhs,
const SMatTSMatSubExpr& rhs )
488 -> DisableIf_t< UseSymmetricKernel_v<MT,MT1> >
498 const OppositeType_t<RT1> A(
serial( rhs.lhs_ ) );
511 (~lhs).reserve( A.nonZeros() + B.nonZeros() );
514 for(
size_t j=0UL; j<(~lhs).
columns(); ++j )
516 const auto lend( A.end(j) );
517 const auto rend( B.end(j) );
519 auto l( A.begin(j) );
520 auto r( B.begin(j) );
522 while( l != lend && r != rend )
524 if( l->index() < r->index() ) {
525 (~lhs).append( l->index(), j, l->value() );
528 else if( l->index() > r->index() ) {
529 (~lhs).append( r->index(), j, -r->value() );
533 (~lhs).append( l->index(), j, l->value() - r->value() );
540 (~lhs).append( l->index(), j, l->value() );
545 (~lhs).append( r->index(), j, -r->value() );
549 (~lhs).finalize( j );
568 template<
typename MT >
569 friend inline auto assign( SparseMatrix<MT,true>& lhs,
const SMatTSMatSubExpr& rhs )
570 -> EnableIf_t< UseSymmetricKernel_v<MT,MT1> >
579 assign( ~lhs,
trans( rhs.lhs_ ) - rhs.rhs_ );
597 template<
typename MT
599 friend inline void addAssign( DenseMatrix<MT,SO>& lhs,
const SMatTSMatSubExpr& rhs )
606 addAssign( ~lhs, rhs.lhs_ );
607 subAssign( ~lhs, rhs.rhs_ );
629 template<
typename MT
631 friend inline void subAssign( DenseMatrix<MT,SO>& lhs,
const SMatTSMatSubExpr& rhs )
638 subAssign( ~lhs, rhs.lhs_ );
639 addAssign( ~lhs, rhs.rhs_ );
661 template<
typename MT
663 friend inline void schurAssign( DenseMatrix<MT,SO>& lhs,
const SMatTSMatSubExpr& rhs )
674 schurAssign( ~lhs, tmp );
714 template<
typename MT
717 -> EnableIf_t< UseSMPAssign_v<MT> >
749 template<
typename MT
752 -> EnableIf_t< UseSMPAssign_v<MT> >
784 template<
typename MT
787 -> EnableIf_t< UseSMPAssign_v<MT> >
849 template<
typename MT1
851 ,
DisableIf_t< ( ( IsZero_v<MT1> || IsZero_v<MT2> ) &&
852 IsSame_v< ElementType_t<MT1>, ElementType_t<MT2> > ) ||
853 ( IsZero_v<MT1> && IsZero_v<MT2> ) >* =
nullptr >
854 inline const SMatTSMatSubExpr<MT1,MT2>
855 smattsmatsub(
const SparseMatrix<MT1,false>& lhs,
const SparseMatrix<MT2,true>& rhs )
862 return SMatTSMatSubExpr<MT1,MT2>( ~lhs, ~rhs );
882 template<
typename MT1
884 , EnableIf_t< !IsZero_v<MT1> && IsZero_v<MT2> &&
885 IsSame_v< ElementType_t<MT1>, ElementType_t<MT2> > >* =
nullptr >
887 smattsmatsub(
const SparseMatrix<MT1,false>& lhs,
const SparseMatrix<MT2,true>& rhs )
916 template<
typename MT1
918 , EnableIf_t< IsZero_v<MT1> && !IsZero_v<MT2> &&
919 IsSame_v< ElementType_t<MT1>, ElementType_t<MT2> > >* =
nullptr >
920 inline decltype(
auto)
921 smattsmatsub( const SparseMatrix<MT1,false>& lhs, const SparseMatrix<MT2,true>& rhs )
949 template<
typename MT1
951 , EnableIf_t< IsZero_v<MT1> && IsZero_v<MT2> >* =
nullptr >
952 inline decltype(
auto)
953 smattsmatsub( const SparseMatrix<MT1,false>& lhs, const SparseMatrix<MT2,true>& rhs )
962 using ReturnType =
const SubTrait_t< ResultType_t<MT1>, ResultType_t<MT2> >;
967 return ReturnType( (~lhs).
rows(), (~lhs).
columns() );
1002 template<
typename MT1
1004 inline decltype(
auto)
1013 return smattsmatsub( ~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
RightOperand rightOperand() const noexcept
Returns the right-hand side transpose sparse matrix operand.
Definition: SMatTSMatSubExpr.h:282
Header file for auxiliary alias declarations.
LeftOperand leftOperand() const noexcept
Returns the left-hand side sparse matrix operand.
Definition: SMatTSMatSubExpr.h:272
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.
Header file for basic type definitions.
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: SMatTSMatSubExpr.h:306
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
OppositeType_t< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: SMatTSMatSubExpr.h:156
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.
size_t nonZeros() const
Returns the number of non-zero elements in the sparse matrix.
Definition: SMatTSMatSubExpr.h:251
Header file for the IsSame and IsStrictlySame type traits.
LeftOperand lhs_
Left-hand side sparse matrix of the subtraction expression.
Definition: SMatTSMatSubExpr.h:313
Constraint on the data type.
ResultType_t< MT2 > RT2
Result type of the right-hand side sparse matrix expression.
Definition: SMatTSMatSubExpr.h:102
Header file for the MAYBE_UNUSED function template.
Header file for the Computation base class.
Constraints on the storage order of matrix types.
const ResultType CompositeType
Data type for composite expression templates.
Definition: SMatTSMatSubExpr.h:164
typename T::ReturnType ReturnType_t
Alias declaration for nested ReturnType type definitions.The ReturnType_t alias declaration provides ...
Definition: Aliases.h:410
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
Header file for the SparseMatrix base class.
Constraint on the data type.
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: SMatTSMatSubExpr.h:215
constexpr bool IsResizable_v
Auxiliary variable template for the IsResizable type trait.The IsResizable_v variable template provid...
Definition: IsResizable.h:133
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: SMatTSMatSubExpr.h:241
Header file for the DisableIf class template.
decltype(std::declval< RN1 >() - std::declval< RN2 >()) ExprReturnType
Expression return type for the subscript operator.
Definition: SMatTSMatSubExpr.h:119
Header file for the IsTemporary type trait class.
Header file for the IsSymmetric type trait.
const If_t< returnExpr, ExprReturnType, ElementType > ReturnType
Return type for expression template evaluations.
Definition: SMatTSMatSubExpr.h:161
Namespace of the Blaze C++ math library.
Definition: Blaze.h:58
Header file for the If class template.
size_t nonZeros(size_t i) const
Returns the number of non-zero elements in the specified row.
Definition: SMatTSMatSubExpr.h:262
#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
Expression object for sparse matrix-transpose sparse matrix subtractions.The SMatTSMatSubExpr class r...
Definition: Forward.h:144
#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.
CompositeType_t< MT2 > CT2
Composite type of the right-hand side sparse matrix expression.
Definition: SMatTSMatSubExpr.h:106
constexpr void MAYBE_UNUSED(const Args &...)
Suppression of unused parameter warnings.
Definition: MaybeUnused.h:81
Header file for the exception macros of the math module.
CompositeType_t< MT1 > CT1
Composite type of the left-hand side sparse matrix expression.
Definition: SMatTSMatSubExpr.h:105
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.
ResultType_t< MT1 > RT1
Result type of the left-hand side sparse matrix expression.
Definition: SMatTSMatSubExpr.h:101
typename T::OppositeType OppositeType_t
Alias declaration for nested OppositeType type definitions.The OppositeType_t alias declaration provi...
Definition: Aliases.h:270
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: SMatTSMatSubExpr.h:200
#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
ElementType_t< ResultType > ElementType
Resulting element type.
Definition: SMatTSMatSubExpr.h:158
#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
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
SubTrait_t< RT1, RT2 > ResultType
Result type for expression template evaluations.
Definition: SMatTSMatSubExpr.h:155
TransposeType_t< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: SMatTSMatSubExpr.h:157
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
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
If_t< IsExpression_v< MT1 >, const MT1, const MT1 & > LeftOperand
Composite type of the left-hand side sparse matrix expression.
Definition: SMatTSMatSubExpr.h:167
decltype(auto) trans(const DenseMatrix< MT, SO > &dm)
Calculation of the transpose of the given dense matrix.
Definition: DMatTransExpr.h:765
static constexpr bool smpAssignable
Compilation switch for the expression template assignment strategy.
Definition: SMatTSMatSubExpr.h:175
Header file for the IsComputation type trait class.
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: SMatTSMatSubExpr.h:294
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
Header file for the StorageOrder type trait.
Header file for the IntegralConstant class template.
SMatTSMatSubExpr(const MT1 &lhs, const MT2 &rhs) noexcept
Constructor for the SMatTSMatSubExpr class.
Definition: SMatTSMatSubExpr.h:184
If_t< IsExpression_v< MT2 >, const MT2, const MT2 & > RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: SMatTSMatSubExpr.h:170
RightOperand rhs_
Right-hand side sparse matrix of the subtraction expression.
Definition: SMatTSMatSubExpr.h:314
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: SMatTSMatSubExpr.h:231
#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
ReturnType_t< MT1 > RN1
Return type of the left-hand side sparse matrix expression.
Definition: SMatTSMatSubExpr.h:103
Header file for the IsResizable type trait.
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
#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
static constexpr bool returnExpr
Compilation switch for the selection of the subscript operator return type.
Definition: SMatTSMatSubExpr.h:116
ReturnType_t< MT2 > RN2
Return type of the right-hand side sparse matrix expression.
Definition: SMatTSMatSubExpr.h:104
Header file for the IsExpression type trait class.
Header file for the function trace functionality.