35 #ifndef _BLAZE_MATH_EXPRESSIONS_TSMATTSMATADDEXPR_H_
36 #define _BLAZE_MATH_EXPRESSIONS_TSMATTSMATADDEXPR_H_
103 template<
typename MT1
105 class TSMatTSMatAddExpr :
public SparseMatrix< TSMatTSMatAddExpr<MT1,MT2>, true >
106 ,
private MatMatAddExpr
107 ,
private Computation
139 template<
typename T1,
typename T2,
typename T3 >
140 struct UseSymmetricKernel {
154 template<
typename MT >
155 struct UseSMPAssign {
156 enum :
bool { value = MT::smpAssignable };
184 enum :
bool { smpAssignable =
false };
224 inline ReturnType
at(
size_t i,
size_t j )
const {
225 if( i >=
lhs_.rows() ) {
228 if( j >=
lhs_.columns() ) {
240 inline size_t rows() const noexcept {
251 return lhs_.columns();
261 return lhs_.nonZeros() +
rhs_.nonZeros();
272 return lhs_.nonZeros(i) +
rhs_.nonZeros(i);
302 template<
typename T >
303 inline bool canAlias(
const T* alias )
const noexcept {
304 return (
lhs_.canAlias( alias ) ||
rhs_.canAlias( alias ) );
314 template<
typename T >
315 inline bool isAliased(
const T* alias )
const noexcept {
316 return (
lhs_.isAliased( alias ) ||
rhs_.isAliased( alias ) );
339 template<
typename MT
350 assign( ~lhs, rhs.lhs_ );
353 addAssign( ~lhs, rhs.rhs_ );
357 CT2 B(
serial( rhs.rhs_ ) );
364 for(
size_t j=0UL; j<(~lhs).
columns(); ++j ) {
365 const RightIterator
end( B.end(j) );
366 for( RightIterator element=B.begin(j); element!=
end; ++element ) {
367 if(
isDefault( (~lhs)(element->index(),j) ) )
368 (~lhs)(element->index(),j) = element->value();
370 (~lhs)(element->index(),j) += element->value();
391 template<
typename MT >
405 CT1 A(
serial( rhs.lhs_ ) );
406 CT2 B(
serial( rhs.rhs_ ) );
415 const size_t m( rhs.rows() );
416 const size_t n( rhs.columns() );
419 std::vector<size_t> nonzeros( m, 0UL );
420 for(
size_t j=0UL; j<n; ++j )
422 const LeftIterator lend( A.end(j) );
423 const RightIterator rend( B.end(j) );
425 LeftIterator l( A.begin(j) );
426 RightIterator r( B.begin(j) );
428 while( l != lend && r != rend )
430 if( l->index() < r->index() ) {
431 ++nonzeros[l->index()];
434 else if( l->index() > r->index() ) {
435 ++nonzeros[r->index()];
439 ++nonzeros[l->index()];
446 ++nonzeros[l->index()];
451 ++nonzeros[r->index()];
457 for(
size_t i=0UL; i<m; ++i ) {
458 (~lhs).reserve( i, nonzeros[i] );
462 for(
size_t j=0UL; j<n; ++j )
464 const LeftIterator lend( A.end(j) );
465 const RightIterator rend( B.end(j) );
467 LeftIterator l( A.begin(j) );
468 RightIterator r( B.begin(j) );
470 while( l != lend && r != rend )
472 if( l->index() < r->index() ) {
473 (~lhs).append( l->index(), j, l->value() );
476 else if( l->index() > r->index() ) {
477 (~lhs).append( r->index(), j, r->value() );
481 (~lhs).append( l->index(), j, l->value()+r->value() );
488 (~lhs).append( l->index(), j, l->value() );
493 (~lhs).append( r->index(), j, r->value() );
514 template<
typename MT >
515 friend inline EnableIf_< UseSymmetricKernel<MT,MT1,MT2> >
525 assign( ~lhs,
trans( rhs.lhs_ ) +
trans( rhs.rhs_ ) );
543 template<
typename MT >
544 friend inline void assign( SparseMatrix<MT,true>& lhs,
const TSMatTSMatAddExpr& rhs )
551 typedef ConstIterator_< RemoveReference_<CT1> > LeftIterator;
552 typedef ConstIterator_< RemoveReference_<CT2> > RightIterator;
554 CT1 A(
serial( rhs.lhs_ ) );
555 CT2 B(
serial( rhs.rhs_ ) );
565 (~lhs).reserve( A.nonZeros() + B.nonZeros() );
568 for(
size_t j=0UL; j<(~lhs).
columns(); ++j )
570 const LeftIterator lend( A.end(j) );
571 const RightIterator rend( B.end(j) );
573 LeftIterator l( A.begin(j) );
574 RightIterator r( B.begin(j) );
576 while( l != lend && r != rend )
578 if( l->index() < r->index() ) {
579 (~lhs).append( l->index(), j, l->value() );
582 else if( l->index() > r->index() ) {
583 (~lhs).append( r->index(), j, r->value() );
587 (~lhs).append( l->index(), j, l->value()+r->value() );
594 (~lhs).append( l->index(), j, l->value() );
599 (~lhs).append( r->index(), j, r->value() );
603 (~lhs).finalize( j );
622 template<
typename MT
624 friend inline void addAssign( DenseMatrix<MT,SO>& lhs,
const TSMatTSMatAddExpr& rhs )
631 addAssign( ~lhs, rhs.lhs_ );
632 addAssign( ~lhs, rhs.rhs_ );
654 template<
typename MT
656 friend inline void subAssign( DenseMatrix<MT,SO>& lhs,
const TSMatTSMatAddExpr& rhs )
663 subAssign( ~lhs, rhs.lhs_ );
664 subAssign( ~lhs, rhs.rhs_ );
704 template<
typename MT
706 friend inline EnableIf_< UseSMPAssign<MT> >
739 template<
typename MT
741 friend inline EnableIf_< UseSMPAssign<MT> >
814 template<
typename T1
816 inline const TSMatTSMatAddExpr<T1,T2>
840 template<
typename MT1,
typename MT2 >
841 struct Rows< TSMatTSMatAddExpr<MT1,MT2> >
842 :
public Max< Rows<MT1>, Rows<MT2> >
858 template<
typename MT1,
typename MT2 >
859 struct Columns< TSMatTSMatAddExpr<MT1,MT2> >
860 :
public Max< Columns<MT1>, Columns<MT2> >
876 template<
typename MT1,
typename MT2 >
877 struct IsSymmetric< TSMatTSMatAddExpr<MT1,MT2> >
878 :
public BoolConstant< IsSymmetric<MT1>::value && IsSymmetric<MT2>::value >
894 template<
typename MT1,
typename MT2 >
895 struct IsHermitian< TSMatTSMatAddExpr<MT1,MT2> >
896 :
public BoolConstant< IsHermitian<MT1>::value && IsHermitian<MT2>::value >
912 template<
typename MT1,
typename MT2 >
913 struct IsLower< TSMatTSMatAddExpr<MT1,MT2> >
914 :
public BoolConstant< And< IsLower<MT1>, IsLower<MT2> >::value >
930 template<
typename MT1,
typename MT2 >
931 struct IsUniLower< TSMatTSMatAddExpr<MT1,MT2> >
932 :
public BoolConstant< Or< And< IsUniLower<MT1>, IsStrictlyLower<MT2> >
933 , And< IsUniLower<MT2>, IsStrictlyLower<MT1> > >::value >
949 template<
typename MT1,
typename MT2 >
950 struct IsStrictlyLower< TSMatTSMatAddExpr<MT1,MT2> >
951 :
public BoolConstant< And< IsStrictlyLower<MT1>, IsStrictlyLower<MT2> >::value >
967 template<
typename MT1,
typename MT2 >
968 struct IsUpper< TSMatTSMatAddExpr<MT1,MT2> >
969 :
public BoolConstant< And< IsUpper<MT1>, IsUpper<MT2> >::value >
985 template<
typename MT1,
typename MT2 >
986 struct IsUniUpper< TSMatTSMatAddExpr<MT1,MT2> >
987 :
public BoolConstant< Or< And< IsUniUpper<MT1>, IsStrictlyUpper<MT2> >
988 , And< IsUniUpper<MT2>, IsStrictlyUpper<MT1> > >::value >
1004 template<
typename MT1,
typename MT2 >
1005 struct IsStrictlyUpper< TSMatTSMatAddExpr<MT1,MT2> >
1006 :
public BoolConstant< And< IsStrictlyUpper<MT1>, IsStrictlyUpper<MT2> >::value >
1022 template<
typename MT1,
typename MT2,
bool AF >
1023 struct SubmatrixExprTrait< TSMatTSMatAddExpr<MT1,MT2>, AF >
1027 using Type = AddExprTrait_< SubmatrixExprTrait_<const MT1,AF>
1028 , SubmatrixExprTrait_<const MT2,AF> >;
1037 template<
typename MT1,
typename MT2 >
1038 struct RowExprTrait< TSMatTSMatAddExpr<MT1,MT2> >
1042 using Type = AddExprTrait_< RowExprTrait_<const MT1>
1043 , RowExprTrait_<const MT2> >;
1052 template<
typename MT1,
typename MT2 >
1053 struct ColumnExprTrait< TSMatTSMatAddExpr<MT1,MT2> >
1057 using Type = AddExprTrait_< ColumnExprTrait_<const MT1>
1058 , ColumnExprTrait_<const MT2> >;
#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 Max class template.
ElementType_< ResultType > ElementType
Resulting element type.
Definition: TSMatTSMatAddExpr.h:167
CompositeType_< MT2 > CT2
Composite type of the right-hand side sparse matrix expression.
Definition: TSMatTSMatAddExpr.h:116
TSMatTSMatAddExpr< MT1, MT2 > This
Type of this TSMatTSMatAddExpr instance.
Definition: TSMatTSMatAddExpr.h:163
Compile time check whether the given type is a temporary vector or matrix type.This type trait class ...
Definition: IsTemporary.h:70
Header file for the Rows type trait.
Header file for the IsUniUpper type trait.
size_t nonZeros(size_t i) const
Returns the number of non-zero elements in the specified row.
Definition: TSMatTSMatAddExpr.h:271
Header file for basic type definitions.
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:160
Header file for the serial shim.
LeftOperand lhs_
Left-hand side sparse matrix of the addition expression.
Definition: TSMatTSMatAddExpr.h:322
CompositeType_< MT1 > CT1
Composite type of the left-hand side sparse matrix expression.
Definition: TSMatTSMatAddExpr.h:115
Header file for the ColumnExprTrait class template.
AddExprTrait_< RN1, RN2 > ExprReturnType
Expression return type for the subscript operator.
Definition: TSMatTSMatAddExpr.h:129
const DenseIterator< Type, AF > operator+(const DenseIterator< Type, AF > &it, ptrdiff_t inc) noexcept
Addition between a DenseIterator and an integral value.
Definition: DenseIterator.h:699
typename DisableIf< Condition, T >::Type DisableIf_
Auxiliary type for the DisableIf class template.The DisableIf_ alias declaration provides a convenien...
Definition: DisableIf.h:223
Header file for the And class template.
Header file for the AddExprTrait class template.
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: TSMatTSMatAddExpr.h:209
const DMatSerialExpr< MT, SO > serial(const DenseMatrix< MT, SO > &dm)
Forces the serial evaluation of the given dense matrix expression dm.
Definition: DMatSerialExpr.h:723
Header file for the Computation base class.
Constraints on the storage order of matrix types.
ResultType_< MT2 > RT2
Result type of the right-hand side sparse matrix expression.
Definition: TSMatTSMatAddExpr.h:112
Header file for the IsUniLower type trait.
typename T::ResultType ResultType_
Alias declaration for nested ResultType type definitions.The ResultType_ alias declaration provides a...
Definition: Aliases.h:323
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:129
OppositeType_< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: TSMatTSMatAddExpr.h:165
TSMatTSMatAddExpr(const MT1 &lhs, const MT2 &rhs) noexcept
Constructor for the TSMatTSMatAddExpr class.
Definition: TSMatTSMatAddExpr.h:193
Base class for dense matrices.The DenseMatrix class is a base class for all dense matrix classes...
Definition: DenseMatrix.h:70
Base class for sparse matrices.The SparseMatrix class is a base class for all sparse matrix classes...
Definition: Forward.h:109
bool isDefault(const DiagonalProxy< MT > &proxy)
Returns whether the represented element is in default state.
Definition: DiagonalProxy.h:573
typename IfTrue< Condition, T1, T2 >::Type IfTrue_
Auxiliary alias declaration for the IfTrue class template.The IfTrue_ alias declaration provides a co...
Definition: If.h:109
If_< IsExpression< MT2 >, const MT2, const MT2 & > RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: TSMatTSMatAddExpr.h:179
typename T::ReturnType ReturnType_
Alias declaration for nested ReturnType type definitions.The ReturnType_ alias declaration provides a...
Definition: Aliases.h:343
Header file for the SparseMatrix base class.
Constraint on the data type.
typename T::CompositeType CompositeType_
Alias declaration for nested CompositeType type definitions.The CompositeType_ alias declaration prov...
Definition: Aliases.h:83
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.
typename AddExprTrait< T1, T2 >::Type AddExprTrait_
Auxiliary alias declaration for the AddExprTrait class template.The AddExprTrait_ alias declaration p...
Definition: AddExprTrait.h:219
Namespace of the Blaze C++ math library.
Definition: Blaze.h:57
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
Expression object for transpose sparse matrix-transpose sparse matrix additions.The TSMatTSMatAddExpr...
Definition: Forward.h:147
ResultType_< MT1 > RT1
Result type of the left-hand side sparse matrix expression.
Definition: TSMatTSMatAddExpr.h:111
RightOperand rhs_
Right-hand side sparse matrix of the addition expression.
Definition: TSMatTSMatAddExpr.h:323
Header file for the Or class template.
#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.
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: TSMatTSMatAddExpr.h:240
RightOperand rightOperand() const noexcept
Returns the right-hand side transpose sparse matrix operand.
Definition: TSMatTSMatAddExpr.h:291
ReturnType_< MT2 > RN2
Return type of the right-hand side sparse matrix expression.
Definition: TSMatTSMatAddExpr.h:114
typename T::ElementType ElementType_
Alias declaration for nested ElementType type definitions.The ElementType_ alias declaration provides...
Definition: Aliases.h:163
Header file for the IsLower type trait.
ReturnType_< MT1 > RN1
Return type of the left-hand side sparse matrix expression.
Definition: TSMatTSMatAddExpr.h:113
BLAZE_ALWAYS_INLINE size_t columns(const Matrix< MT, SO > &matrix) noexcept
Returns the current number of columns of the matrix.
Definition: Matrix.h:330
AddTrait_< RT1, RT2 > ResultType
Result type for expression template evaluations.
Definition: TSMatTSMatAddExpr.h:164
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.
LeftOperand leftOperand() const noexcept
Returns the left-hand side transpose sparse matrix operand.
Definition: TSMatTSMatAddExpr.h:281
BLAZE_ALWAYS_INLINE 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:254
#define BLAZE_CONSTRAINT_MUST_FORM_VALID_MATMATADDEXPR(T1, T2)
Constraint on the data type.In case the given data types T1 and T2 do not form a valid matrix/matrix ...
Definition: MatMatAddExpr.h:109
Header file for the RowExprTrait class template.
Header file for all forward declarations for expression class templates.
Header file for the EnableIf class template.
Header file for the IsStrictlyLower type trait.
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: TSMatTSMatAddExpr.h:303
Compile time check for resizable data types.This type trait tests whether the given data type is a re...
Definition: IsResizable.h:75
#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, a compilation error is created.
Definition: Symmetric.h:79
Header file for the SubmatrixExprTrait class template.
#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
size_t nonZeros() const
Returns the number of non-zero elements in the sparse matrix.
Definition: TSMatTSMatAddExpr.h:260
Header file for run time assertion macros.
Header file for the addition trait.
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: TSMatTSMatAddExpr.h:315
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:160
Constraint on the data type.
If_< IsExpression< MT1 >, const MT1, const MT1 & > LeftOperand
Composite type of the left-hand side sparse matrix expression.
Definition: TSMatTSMatAddExpr.h:176
const ResultType CompositeType
Data type for composite expression templates.
Definition: TSMatTSMatAddExpr.h:173
Header file for the isDefault shim.
const IfTrue_< returnExpr, ExprReturnType, ElementType > ReturnType
Return type for expression template evaluations.
Definition: TSMatTSMatAddExpr.h:170
Constraint on the data type.
Constraints on the storage order of matrix types.
Header file for the MatMatAddExpr base class.
IntegralConstant< bool, B > BoolConstant
Generic wrapper for a compile time constant boolean value.The BoolConstant class template represents ...
Definition: IntegralConstant.h:100
Header file for the RemoveReference type trait.
typename T::OppositeType OppositeType_
Alias declaration for nested OppositeType type definitions.The OppositeType_ alias declaration provid...
Definition: Aliases.h:243
BLAZE_ALWAYS_INLINE size_t rows(const Matrix< MT, SO > &matrix) noexcept
Returns the current number of rows of the matrix.
Definition: Matrix.h:314
typename T::ConstIterator ConstIterator_
Alias declaration for nested ConstIterator type definitions.The ConstIterator_ alias declaration prov...
Definition: Aliases.h:103
const DMatTransExpr< MT,!SO > trans(const DenseMatrix< MT, SO > &dm)
Calculation of the transpose of the given dense matrix.
Definition: DMatTransExpr.h:950
Header file for the IsComputation type trait class.
#define BLAZE_FUNCTION_TRACE
Function trace macro.This macro can be used to reliably trace function calls. In case function tracin...
Definition: FunctionTrace.h:157
Header file for the IntegralConstant class template.
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: TSMatTSMatAddExpr.h:224
typename T::TransposeType TransposeType_
Alias declaration for nested TransposeType type definitions.The TransposeType_ alias declaration prov...
Definition: Aliases.h:403
Header file for the IsUpper type trait.
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: TSMatTSMatAddExpr.h:250
Header file for the IsHermitian type trait.
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: TSMatTSMatAddExpr.h:166
Header file for the IsResizable type trait.
typename AddTrait< T1, T2 >::Type AddTrait_
Auxiliary alias declaration for the AddTrait class template.The AddTrait_ alias declaration provides ...
Definition: AddTrait.h:245
#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
Header file for the IsExpression type trait class.
Header file for the FunctionTrace class.