35 #ifndef _BLAZE_MATH_EXPRESSIONS_SMATSMATADDEXPR_H_
36 #define _BLAZE_MATH_EXPRESSIONS_SMATSMATADDEXPR_H_
102 template<
typename MT1
104 class SMatSMatAddExpr :
public SparseMatrix< SMatSMatAddExpr<MT1,MT2>, false >
105 ,
private MatMatAddExpr
106 ,
private Computation
138 template<
typename T1,
typename T2,
typename T3 >
139 struct UseSymmetricKernel {
153 template<
typename MT >
154 struct UseSMPAssign {
155 enum { value = MT::smpAssignable };
183 enum { smpAssignable = 0 };
223 inline ReturnType
at(
size_t i,
size_t j )
const {
224 if( i >=
lhs_.rows() ) {
227 if( j >=
lhs_.columns() ) {
250 return lhs_.columns();
260 return lhs_.nonZeros() +
rhs_.nonZeros();
271 return lhs_.nonZeros(i) +
rhs_.nonZeros(i);
301 template<
typename T >
303 return (
lhs_.canAlias( alias ) ||
rhs_.canAlias( alias ) );
313 template<
typename T >
315 return (
lhs_.isAliased( alias ) ||
rhs_.isAliased( alias ) );
337 template<
typename MT
348 assign( ~lhs, rhs.lhs_ );
351 addAssign( ~lhs, rhs.rhs_ );
355 CT2 B(
serial( rhs.rhs_ ) );
362 for(
size_t i=0UL; i<(~lhs).
rows(); ++i ) {
363 const RightIterator
end( B.end(i) );
364 for( RightIterator element=B.begin(i); element!=
end; ++element ) {
365 if(
isDefault( (~lhs)(i,element->index()) ) )
366 (~lhs)(i,element->index()) = element->value();
368 (~lhs)(i,element->index()) += element->value();
388 template<
typename MT >
399 CT1 A(
serial( rhs.lhs_ ) );
400 CT2 B(
serial( rhs.rhs_ ) );
410 (~lhs).reserve( A.nonZeros() + B.nonZeros() );
413 for(
size_t i=0UL; i<(~lhs).
rows(); ++i )
415 const LeftIterator lend( A.end(i) );
416 const RightIterator rend( B.end(i) );
418 LeftIterator l( A.begin(i) );
419 RightIterator r( B.begin(i) );
421 while( l != lend && r != rend )
423 if( l->index() < r->index() ) {
424 (~lhs).append( i, l->index(), l->value() );
427 else if( l->index() > r->index() ) {
428 (~lhs).append( i, r->index(), r->value() );
432 (~lhs).append( i, l->index(), l->value()+r->value() );
439 (~lhs).append( i, l->index(), l->value() );
444 (~lhs).append( i, r->index(), r->value() );
448 (~lhs).finalize( i );
466 template<
typename MT >
467 friend inline typename DisableIf< UseSymmetricKernel<MT,MT1,MT2> >::Type
480 CT1 A(
serial( rhs.lhs_ ) );
481 CT2 B(
serial( rhs.rhs_ ) );
490 const size_t m( A.rows() );
491 const size_t n( A.columns() );
494 std::vector<size_t> nonzeros( n, 0UL );
495 for(
size_t i=0UL; i<m; ++i )
497 const LeftIterator lend( A.end(i) );
498 const RightIterator rend( B.end(i) );
500 LeftIterator l( A.begin(i) );
501 RightIterator r( B.begin(i) );
503 while( l != lend && r != rend )
505 if( l->index() < r->index() ) {
506 ++nonzeros[l->index()];
509 else if( l->index() > r->index() ) {
510 ++nonzeros[r->index()];
514 ++nonzeros[l->index()];
521 ++nonzeros[l->index()];
526 ++nonzeros[r->index()];
532 for(
size_t j=0UL; j<n; ++j ) {
533 (~lhs).reserve( j, nonzeros[j] );
537 for(
size_t i=0UL; i<m; ++i )
539 const LeftIterator lend( A.end(i) );
540 const RightIterator rend( B.end(i) );
542 LeftIterator l( A.begin(i) );
543 RightIterator r( B.begin(i) );
545 while( l != lend && r != rend )
547 if( l->index() < r->index() ) {
548 (~lhs).append( i, l->index(), l->value() );
551 else if( l->index() > r->index() ) {
552 (~lhs).append( i, r->index(), r->value() );
556 (~lhs).append( i, l->index(), l->value()+r->value() );
563 (~lhs).append( i, l->index(), l->value() );
568 (~lhs).append( i, r->index(), r->value() );
588 template<
typename MT >
589 friend inline typename EnableIf< UseSymmetricKernel<MT,MT1,MT2> >::Type
599 assign( ~lhs,
trans( rhs.lhs_ ) +
trans( rhs.rhs_ ) );
616 template<
typename MT
618 friend inline void addAssign( DenseMatrix<MT,SO>& lhs,
const SMatSMatAddExpr& rhs )
625 addAssign( ~lhs, rhs.lhs_ );
626 addAssign( ~lhs, rhs.rhs_ );
647 template<
typename MT
649 friend inline void subAssign( DenseMatrix<MT,SO>& lhs,
const SMatSMatAddExpr& rhs )
656 subAssign( ~lhs, rhs.lhs_ );
657 subAssign( ~lhs, rhs.rhs_ );
696 template<
typename MT
698 friend inline typename EnableIf< UseSMPAssign<MT> >::Type
730 template<
typename MT
732 friend inline typename EnableIf< UseSMPAssign<MT> >::Type
805 template<
typename T1
807 inline const SMatSMatAddExpr<T1,T2>
831 template<
typename MT1,
typename MT2 >
832 struct Rows< SMatSMatAddExpr<MT1,MT2> >
833 :
public Max< Rows<MT1>, Rows<MT2> >
849 template<
typename MT1,
typename MT2 >
850 struct Columns< SMatSMatAddExpr<MT1,MT2> >
851 :
public Max< Columns<MT1>, Columns<MT2> >
867 template<
typename MT1,
typename MT2 >
868 struct IsSymmetric< SMatSMatAddExpr<MT1,MT2> >
869 :
public IsTrue< IsSymmetric<MT1>::value && IsSymmetric<MT2>::value >
885 template<
typename MT1,
typename MT2 >
886 struct IsHermitian< SMatSMatAddExpr<MT1,MT2> >
887 :
public IsTrue< IsHermitian<MT1>::value && IsHermitian<MT2>::value >
903 template<
typename MT1,
typename MT2 >
904 struct IsLower< SMatSMatAddExpr<MT1,MT2> >
905 :
public IsTrue< And< IsLower<MT1>, IsLower<MT2> >::value >
921 template<
typename MT1,
typename MT2 >
922 struct IsUniLower< SMatSMatAddExpr<MT1,MT2> >
923 :
public IsTrue< Or< And< IsUniLower<MT1>, IsStrictlyLower<MT2> >
924 , And< IsUniLower<MT2>, IsStrictlyLower<MT1> > >::value >
940 template<
typename MT1,
typename MT2 >
941 struct IsStrictlyLower< SMatSMatAddExpr<MT1,MT2> >
942 :
public IsTrue< And< IsStrictlyLower<MT1>, IsStrictlyLower<MT2> >::value >
958 template<
typename MT1,
typename MT2 >
959 struct IsUpper< SMatSMatAddExpr<MT1,MT2> >
960 :
public IsTrue< And< IsUpper<MT1>, IsUpper<MT2> >::value >
976 template<
typename MT1,
typename MT2 >
977 struct IsUniUpper< SMatSMatAddExpr<MT1,MT2> >
978 :
public IsTrue< Or< And< IsUniUpper<MT1>, IsStrictlyUpper<MT2> >
979 , And< IsUniUpper<MT2>, IsStrictlyUpper<MT1> > >::value >
995 template<
typename MT1,
typename MT2 >
996 struct IsStrictlyUpper< SMatSMatAddExpr<MT1,MT2> >
997 :
public IsTrue< And< IsStrictlyUpper<MT1>, IsStrictlyUpper<MT2> >::value >
1013 template<
typename MT1,
typename MT2,
bool AF >
1014 struct SubmatrixExprTrait< SMatSMatAddExpr<MT1,MT2>, AF >
1018 typedef typename AddExprTrait< typename SubmatrixExprTrait<const MT1,AF>::Type
1019 ,
typename SubmatrixExprTrait<const MT2,AF>::Type >::Type Type;
1028 template<
typename MT1,
typename MT2 >
1029 struct RowExprTrait< SMatSMatAddExpr<MT1,MT2> >
1033 typedef typename AddExprTrait< typename RowExprTrait<const MT1>::Type
1034 ,
typename RowExprTrait<const MT2>::Type >::Type Type;
1043 template<
typename MT1,
typename MT2 >
1044 struct ColumnExprTrait< SMatSMatAddExpr<MT1,MT2> >
1048 typedef typename AddExprTrait< typename ColumnExprTrait<const MT1>::Type
1049 ,
typename ColumnExprTrait<const MT2>::Type >::Type Type;
#define BLAZE_THROW_INVALID_ARGUMENT(MESSAGE)
Macro for the emission of a std::invalid_argument exceptionThis macro encapsulates the default way of...
Definition: Exception.h:187
size_t nonZeros() const
Returns the number of non-zero elements in the sparse matrix.
Definition: SMatSMatAddExpr.h:259
SMatSMatAddExpr(const MT1 &lhs, const MT2 &rhs)
Constructor for the SMatSMatAddExpr class.
Definition: SMatSMatAddExpr.h:192
Header file for the Max class template.
AddExprTrait< RN1, RN2 >::Type ExprReturnType
Expression return type for the subscript operator.
Definition: SMatSMatAddExpr.h:128
Evaluation of the return type of an addition expression.Via this type trait it is possible to evaluat...
Definition: AddExprTrait.h:104
Compile time check whether the given type is a temporary vector or matrix type.This type trait class ...
Definition: IsTemporary.h:87
Header file for the Rows type trait.
Header file for the IsUniUpper type trait.
Header file for basic type definitions.
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:250
SelectType< IsExpression< MT1 >::value, const MT1, const MT1 & >::Type LeftOperand
Composite type of the left-hand side sparse matrix expression.
Definition: SMatSMatAddExpr.h:175
Efficient implementation of a compressed matrix.The CompressedMatrix class template is the represent...
Definition: CompressedMatrix.h:207
bool isAliased(const T *alias) const
Returns whether the expression is aliased with the given address alias.
Definition: SMatSMatAddExpr.h:314
Header file for the ColumnExprTrait class template.
const This & CompositeType
Data type for composite expression templates.
Definition: CompressedMatrix.h:2588
Type ElementType
Type of the sparse matrix elements.
Definition: CompressedMatrix.h:259
BLAZE_ALWAYS_INLINE size_t rows(const Matrix< MT, SO > &matrix)
Returns the current number of rows of the matrix.
Definition: Matrix.h:308
Header file for the And class template.
Header file for the AddExprTrait class template.
SMatSMatAddExpr< MT1, MT2 > This
Type of this SMatSMatAddExpr instance.
Definition: SMatSMatAddExpr.h:162
const DMatSerialExpr< MT, SO > serial(const DenseMatrix< MT, SO > &dm)
Forces the serial evaluation of the given dense matrix expression dm.
Definition: DMatSerialExpr.h:721
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: SMatSMatAddExpr.h:208
Header file for the Computation base class.
Constraints on the storage order of matrix types.
AddTrait< RT1, RT2 >::Type ResultType
Result type for expression template evaluations.
Definition: SMatSMatAddExpr.h:163
Header file for the IsUniLower type trait.
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:117
bool isDefault(const DiagonalProxy< MT > &proxy)
Returns whether the represented element is in default state.
Definition: DiagonalProxy.h:547
Header file for the SparseMatrix base class.
MT1::ResultType RT1
Result type of the left-hand side sparse matrix expression.
Definition: SMatSMatAddExpr.h:110
size_t nonZeros(size_t i) const
Returns the number of non-zero elements in the specified row.
Definition: SMatSMatAddExpr.h:270
Constraint on the data type.
Compile time type selection.The SelectType class template selects one of the two given types T1 and T...
Definition: SelectType.h:59
Header file for the DisableIf class template.
Header file for the IsTemporary type trait class.
Header file for the IsStrictlyUpper type trait.
MT2::ReturnType RN2
Return type of the right-hand side sparse matrix expression.
Definition: SMatSMatAddExpr.h:115
Header file for the IsSymmetric type trait.
Namespace of the Blaze C++ math library.
Definition: Blaze.h:57
MT1::CompositeType CT1
Composite type of the left-hand side sparse matrix expression.
Definition: SMatSMatAddExpr.h:112
#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:79
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: SMatSMatAddExpr.h:223
const Element * ConstIterator
Iterator over constant elements.
Definition: CompressedMatrix.h:2592
Header file for the Or class template.
#define BLAZE_THROW_OUT_OF_RANGE(MESSAGE)
Macro for the emission of a std::out_of_range exceptionThis macro encapsulates the default way of Bla...
Definition: Exception.h:331
const DenseIterator< Type, AF > operator+(const DenseIterator< Type, AF > &it, ptrdiff_t inc)
Addition between a DenseIterator and an integral value.
Definition: DenseIterator.h:610
Header file for the Columns type trait.
Header file for the IsLower type trait.
bool canAlias(const T *alias) const
Returns whether the expression can alias with the given address alias.
Definition: SMatSMatAddExpr.h:302
RightOperand rhs_
Right-hand side sparse matrix of the addition expression.
Definition: SMatSMatAddExpr.h:322
Compile time check for symmetric matrices.This type trait tests whether or not the given template par...
Definition: IsSymmetric.h:85
#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:165
Header file for the SelectType class template.
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.
Header file for the serial shim.
MT2::CompositeType CT2
Composite type of the right-hand side sparse matrix expression.
Definition: SMatSMatAddExpr.h:113
RightOperand rightOperand() const
Returns the right-hand side sparse matrix operand.
Definition: SMatSMatAddExpr.h:290
MT1::ReturnType RN1
Return type of the left-hand side sparse matrix expression.
Definition: SMatSMatAddExpr.h:114
Compile time check for resizable data types.This type trait tests whether the given data type is a re...
Definition: IsResizable.h:75
EnableIf< IsDenseMatrix< MT1 > >::Type 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
#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:116
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:79
const Type & ReturnType
Return type for expression template evaluations.
Definition: CompressedMatrix.h:2587
Removal of reference modifiers.The RemoveCV type trait removes any reference modifiers from the given...
Definition: RemoveReference.h:69
Header file for run time assertion macros.
Base template for the AddTrait class.
Definition: AddTrait.h:138
Header file for the addition trait.
const SelectType< returnExpr, ExprReturnType, ElementType >::Type ReturnType
Return type for expression template evaluations.
Definition: SMatSMatAddExpr.h:169
LeftOperand lhs_
Left-hand side sparse matrix of the addition expression.
Definition: SMatSMatAddExpr.h:321
LeftOperand leftOperand() const
Returns the left-hand side sparse matrix operand.
Definition: SMatSMatAddExpr.h:280
Constraint on the data type.
size_t rows() const
Returns the current number of rows of the matrix.
Definition: SMatSMatAddExpr.h:239
size_t columns() const
Returns the current number of columns of the matrix.
Definition: SMatSMatAddExpr.h:249
Header file for the isDefault shim.
Constraint on the data type.
MT2::ResultType RT2
Result type of the right-hand side sparse matrix expression.
Definition: SMatSMatAddExpr.h:111
Constraints on the storage order of matrix types.
ResultType::ElementType ElementType
Resulting element type.
Definition: SMatSMatAddExpr.h:166
Header file for the MatMatAddExpr base class.
Header file for the RemoveReference type trait.
const ResultType CompositeType
Data type for composite expression templates.
Definition: SMatSMatAddExpr.h:172
SelectType< IsExpression< MT2 >::value, const MT2, const MT2 & >::Type RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: SMatSMatAddExpr.h:178
const DMatTransExpr< MT,!SO > trans(const DenseMatrix< MT, SO > &dm)
Calculation of the transpose of the given dense matrix.
Definition: DMatTransExpr.h:944
Header file for the IsComputation type trait class.
Expression object for sparse matrix-sparse matrix additions.The SMatSMatAddExpr class represents the ...
Definition: Forward.h:106
EnableIf< IsDenseMatrix< MT1 > >::Type 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
#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
This ResultType
Result type for expression template evaluations.
Definition: CompressedMatrix.h:2583
Header file for the IsTrue value trait.
BLAZE_ALWAYS_INLINE size_t columns(const Matrix< MT, SO > &matrix)
Returns the current number of columns of the matrix.
Definition: Matrix.h:324
ResultType::TransposeType TransposeType
Transpose type for expression template evaluations.
Definition: SMatSMatAddExpr.h:165
ResultType::OppositeType OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: SMatSMatAddExpr.h:164
Header file for the IsUpper type trait.
Header file for exception macros.
Header file for the IsHermitian type trait.
Header file for the IsResizable type trait.
#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:79
Header file for the IsExpression type trait class.
Header file for the FunctionTrace class.