35 #ifndef _BLAZE_MATH_EXPRESSIONS_SMATTSMATADDEXPR_H_
36 #define _BLAZE_MATH_EXPRESSIONS_SMATTSMATADDEXPR_H_
104 template<
typename MT1
106 class SMatTSMatAddExpr :
public SparseMatrix< SMatTSMatAddExpr<MT1,MT2>, false >
107 ,
private MatMatAddExpr
108 ,
private Computation
141 template<
typename T1,
typename T2 >
142 struct UseSymmetricKernel {
156 template<
typename MT >
157 struct UseSMPAssign {
158 enum :
bool { value = MT::smpAssignable };
186 enum :
bool { smpAssignable =
false };
226 inline ReturnType
at(
size_t i,
size_t j )
const {
227 if( i >=
lhs_.rows() ) {
230 if( j >=
lhs_.columns() ) {
242 inline size_t rows() const noexcept {
253 return lhs_.columns();
263 return lhs_.nonZeros() +
rhs_.nonZeros();
274 return lhs_.nonZeros(i) +
rhs_.nonZeros(i);
304 template<
typename T >
305 inline bool canAlias(
const T* alias )
const noexcept {
306 return (
lhs_.canAlias( alias ) ||
rhs_.canAlias( alias ) );
316 template<
typename T >
317 inline bool isAliased(
const T* alias )
const noexcept {
318 return (
lhs_.isAliased( alias ) ||
rhs_.isAliased( alias ) );
340 template<
typename MT
351 assign( ~lhs, rhs.lhs_ );
354 addAssign( ~lhs, rhs.rhs_ );
358 CT2 B(
serial( rhs.rhs_ ) );
365 for(
size_t j=0UL; j<(~lhs).
columns(); ++j ) {
366 const RightIterator
end( B.end(j) );
367 for( RightIterator element=B.begin(j); element!=
end; ++element ) {
368 if(
isDefault( (~lhs)(element->index(),j) ) )
369 (~lhs)(element->index(),j) = element->value();
371 (~lhs)(element->index(),j) += element->value();
392 template<
typename MT >
405 CT1 A(
serial( rhs.lhs_ ) );
418 (~lhs).reserve( A.nonZeros() + B.nonZeros() );
421 for(
size_t i=0UL; i<(~lhs).
rows(); ++i )
423 const LeftIterator lend( A.end(i) );
424 const RightIterator rend( B.end(i) );
426 LeftIterator l( A.begin(i) );
427 RightIterator r( B.begin(i) );
429 while( l != lend && r != rend )
431 if( l->index() < r->index() ) {
432 (~lhs).append( i, l->index(), l->value() );
435 else if( l->index() > r->index() ) {
436 (~lhs).append( i, r->index(), r->value() );
440 (~lhs).append( i, l->index(), l->value()+r->value() );
447 (~lhs).append( i, l->index(), l->value() );
452 (~lhs).append( i, r->index(), r->value() );
456 (~lhs).finalize( i );
475 template<
typename MT >
476 friend inline EnableIf_< UseSymmetricKernel<MT,MT2> >
484 assign( ~lhs, rhs.lhs_ +
trans( rhs.rhs_ ) );
502 template<
typename MT >
503 friend inline DisableIf_< UseSymmetricKernel<MT,MT1> >
513 typedef ConstIterator_< OppositeType_<RT1> > LeftIterator;
514 typedef ConstIterator_< RemoveReference_<CT2> > RightIterator;
517 const OppositeType_<RT1> A(
serial( rhs.lhs_ ) );
520 CT2 B(
serial( rhs.rhs_ ) );
530 (~lhs).reserve( A.nonZeros() + B.nonZeros() );
533 for(
size_t j=0UL; j<(~lhs).
columns(); ++j )
535 const LeftIterator lend( A.end(j) );
536 const RightIterator rend( B.end(j) );
538 LeftIterator l( A.begin(j) );
539 RightIterator r( B.begin(j) );
541 while( l != lend && r != rend )
543 if( l->index() < r->index() ) {
544 (~lhs).append( l->index(), j, l->value() );
547 else if( l->index() > r->index() ) {
548 (~lhs).append( r->index(), j, r->value() );
552 (~lhs).append( l->index(), j, l->value()+r->value() );
559 (~lhs).append( l->index(), j, l->value() );
564 (~lhs).append( r->index(), j, r->value() );
568 (~lhs).finalize( j );
587 template<
typename MT >
588 friend inline EnableIf_< UseSymmetricKernel<MT,MT1> >
598 assign( ~lhs,
trans( rhs.lhs_ ) + rhs.rhs_ );
616 template<
typename MT
618 friend inline void addAssign( DenseMatrix<MT,SO>& lhs,
const SMatTSMatAddExpr& rhs )
625 addAssign( ~lhs, rhs.lhs_ );
626 addAssign( ~lhs, rhs.rhs_ );
648 template<
typename MT
650 friend inline void subAssign( DenseMatrix<MT,SO>& lhs,
const SMatTSMatAddExpr& rhs )
657 subAssign( ~lhs, rhs.lhs_ );
658 subAssign( ~lhs, rhs.rhs_ );
698 template<
typename MT
700 friend inline EnableIf_< UseSMPAssign<MT> >
733 template<
typename MT
735 friend inline EnableIf_< UseSMPAssign<MT> >
811 template<
typename T1
813 inline const SMatTSMatAddExpr<T1,T2>
856 template<
typename T1
858 inline const SMatTSMatAddExpr<T2,T1>
882 template<
typename MT1,
typename MT2 >
883 struct Rows< SMatTSMatAddExpr<MT1,MT2> >
884 :
public Max< Rows<MT1>, Rows<MT2> >
900 template<
typename MT1,
typename MT2 >
901 struct Columns< SMatTSMatAddExpr<MT1,MT2> >
902 :
public Max< Columns<MT1>, Columns<MT2> >
918 template<
typename MT1,
typename MT2 >
919 struct IsSymmetric< SMatTSMatAddExpr<MT1,MT2> >
920 :
public BoolConstant< IsSymmetric<MT1>::value && IsSymmetric<MT2>::value >
936 template<
typename MT1,
typename MT2 >
937 struct IsHermitian< SMatTSMatAddExpr<MT1,MT2> >
938 :
public BoolConstant< IsHermitian<MT1>::value && IsHermitian<MT2>::value >
954 template<
typename MT1,
typename MT2 >
955 struct IsLower< SMatTSMatAddExpr<MT1,MT2> >
956 :
public BoolConstant< And< IsLower<MT1>, IsLower<MT2> >::value >
972 template<
typename MT1,
typename MT2 >
973 struct IsUniLower< SMatTSMatAddExpr<MT1,MT2> >
974 :
public BoolConstant< Or< And< IsUniLower<MT1>, IsStrictlyLower<MT2> >
975 , And< IsUniLower<MT2>, IsStrictlyLower<MT1> > >::value >
991 template<
typename MT1,
typename MT2 >
992 struct IsStrictlyLower< SMatTSMatAddExpr<MT1,MT2> >
993 :
public BoolConstant< And< IsStrictlyLower<MT1>, IsStrictlyLower<MT2> >::value >
1009 template<
typename MT1,
typename MT2 >
1010 struct IsUpper< SMatTSMatAddExpr<MT1,MT2> >
1011 :
public BoolConstant< And< IsUpper<MT1>, IsUpper<MT2> >::value >
1027 template<
typename MT1,
typename MT2 >
1028 struct IsUniUpper< SMatTSMatAddExpr<MT1,MT2> >
1029 :
public BoolConstant< Or< And< IsUniUpper<MT1>, IsStrictlyUpper<MT2> >
1030 , And< IsUniUpper<MT2>, IsStrictlyUpper<MT1> > >::value >
1046 template<
typename MT1,
typename MT2 >
1047 struct IsStrictlyUpper< SMatTSMatAddExpr<MT1,MT2> >
1048 :
public BoolConstant< And< IsStrictlyUpper<MT1>, IsStrictlyUpper<MT2> >::value >
1064 template<
typename MT1,
typename MT2,
bool AF >
1065 struct SubmatrixExprTrait< SMatTSMatAddExpr<MT1,MT2>, AF >
1069 using Type = AddExprTrait_< SubmatrixExprTrait_<const MT1,AF>
1070 , SubmatrixExprTrait_<const MT2,AF> >;
1079 template<
typename MT1,
typename MT2 >
1080 struct RowExprTrait< SMatTSMatAddExpr<MT1,MT2> >
1084 using Type = AddExprTrait_< RowExprTrait_<const MT1>
1085 , RowExprTrait_<const MT2> >;
1094 template<
typename MT1,
typename MT2 >
1095 struct ColumnExprTrait< SMatTSMatAddExpr<MT1,MT2> >
1099 using Type = AddExprTrait_< ColumnExprTrait_<const MT1>
1100 , 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
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: SMatTSMatAddExpr.h:305
Header file for auxiliary alias declarations.
Header file for the Max class template.
SMatTSMatAddExpr< MT1, MT2 > This
Type of this SMatTSMatAddExpr instance.
Definition: SMatTSMatAddExpr.h:165
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.
LeftOperand leftOperand() const noexcept
Returns the left-hand side sparse matrix operand.
Definition: SMatTSMatAddExpr.h:283
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.
Header file for the ColumnExprTrait class template.
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: SMatTSMatAddExpr.h:317
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
ResultType_< MT1 > RT1
Result type of the left-hand side sparse matrix expression.
Definition: SMatTSMatAddExpr.h:112
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.
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.
Header file for the IsUniLower type trait.
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: SMatTSMatAddExpr.h:242
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
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: SMatTSMatAddExpr.h:226
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
size_t nonZeros(size_t i) const
Returns the number of non-zero elements in the specified row.
Definition: SMatTSMatAddExpr.h:273
bool isDefault(const DiagonalProxy< MT > &proxy)
Returns whether the represented element is in default state.
Definition: DiagonalProxy.h:573
LeftOperand lhs_
Left-hand side sparse matrix of the addition expression.
Definition: SMatTSMatAddExpr.h:324
If_< IsExpression< MT2 >, const MT2, const MT2 & > RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: SMatTSMatAddExpr.h:181
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
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
ReturnType_< MT1 > RN1
Evaluation type of the left-hand side sparse matrix expression.
Definition: SMatTSMatAddExpr.h:114
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
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.
typename T::ElementType ElementType_
Alias declaration for nested ElementType type definitions.The ElementType_ alias declaration provides...
Definition: Aliases.h:163
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: SMatTSMatAddExpr.h:252
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: SMatTSMatAddExpr.h:168
Header file for the IsLower type trait.
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
AddExprTrait_< RN1, RN2 > ExprReturnType
Expression return type for the subscript operator.
Definition: SMatTSMatAddExpr.h:130
Constraints on the storage order of matrix types.
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.
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.
ElementType_< ResultType > ElementType
Resulting element type.
Definition: SMatTSMatAddExpr.h:169
Header file for the EnableIf class template.
Header file for the IsStrictlyLower type trait.
If_< IsExpression< MT1 >, const MT1, const MT1 & > LeftOperand
Composite type of the left-hand side sparse matrix expression.
Definition: SMatTSMatAddExpr.h:178
#define BLAZE_CONSTRAINT_MATRICES_MUST_HAVE_DIFFERENT_STORAGE_ORDER(T1, T2)
Constraint on the data type.In case either of the two given data types T1 or T2 is not a matrix type ...
Definition: StorageOrder.h:106
OppositeType_< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: SMatTSMatAddExpr.h:167
const IfTrue_< returnExpr, ExprReturnType, ElementType > ReturnType
Return type for expression template evaluations.
Definition: SMatTSMatAddExpr.h:172
Compile time check for resizable data types.This type trait tests whether the given data type is a re...
Definition: IsResizable.h:75
const ResultType CompositeType
Data type for composite expression templates.
Definition: SMatTSMatAddExpr.h:175
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: SMatTSMatAddExpr.h:211
#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
Header file for run time assertion macros.
ResultType_< MT2 > RT2
Result type of the right-hand side sparse matrix expression.
Definition: SMatTSMatAddExpr.h:113
Header file for the addition trait.
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.
size_t nonZeros() const
Returns the number of non-zero elements in the sparse matrix.
Definition: SMatTSMatAddExpr.h:262
CompositeType_< MT2 > CT2
Composite type of the right-hand side sparse matrix expression.
Definition: SMatTSMatAddExpr.h:117
AddTrait_< RT1, RT2 > ResultType
Result type for expression template evaluations.
Definition: SMatTSMatAddExpr.h:166
Header file for the isDefault shim.
RightOperand rhs_
Right-hand side sparse matrix of the addition expression.
Definition: SMatTSMatAddExpr.h:325
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
Expression object for sparse matrix-transpose sparse matrix additions.The SMatTSMatAddExpr class repr...
Definition: Forward.h:106
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
SMatTSMatAddExpr(const MT1 &lhs, const MT2 &rhs) noexcept
Constructor for the SMatTSMatAddExpr class.
Definition: SMatTSMatAddExpr.h:195
CompositeType_< MT1 > CT1
Composite type of the left-hand side sparse matrix expression.
Definition: SMatTSMatAddExpr.h:116
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.
RightOperand rightOperand() const noexcept
Returns the right-hand side transpose sparse matrix operand.
Definition: SMatTSMatAddExpr.h:293
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.
Header file for the IsHermitian type trait.
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.
ReturnType_< MT2 > RN2
Evaluation type of the right-hand side sparse matrix expression.
Definition: SMatTSMatAddExpr.h:115