35 #ifndef _BLAZE_MATH_EXPRESSIONS_SMATSMATADDEXPR_H_
36 #define _BLAZE_MATH_EXPRESSIONS_SMATSMATADDEXPR_H_
101 template<
typename MT1
103 class SMatSMatAddExpr :
public SparseMatrix< SMatSMatAddExpr<MT1,MT2>, false >
104 ,
private MatMatAddExpr
105 ,
private Computation
137 template<
typename T1,
typename T2,
typename T3 >
138 struct UseSymmetricKernel {
152 template<
typename MT >
153 struct UseSMPAssign {
154 enum { value = MT::smpAssignable };
182 enum { smpAssignable = 0 };
230 return lhs_.columns();
240 return lhs_.nonZeros() +
rhs_.nonZeros();
251 return lhs_.nonZeros(i) +
rhs_.nonZeros(i);
281 template<
typename T >
283 return (
lhs_.canAlias( alias ) ||
rhs_.canAlias( alias ) );
293 template<
typename T >
295 return (
lhs_.isAliased( alias ) ||
rhs_.isAliased( alias ) );
317 template<
typename MT
335 CT2 B(
serial( rhs.rhs_ ) );
342 for(
size_t i=0UL; i<(~lhs).
rows(); ++i ) {
343 const RightIterator
end( B.end(i) );
344 for( RightIterator element=B.begin(i); element!=
end; ++element ) {
345 if(
isDefault( (~lhs)(i,element->index()) ) )
346 (~lhs)(i,element->index()) = element->value();
348 (~lhs)(i,element->index()) += element->value();
368 template<
typename MT >
379 CT1 A(
serial( rhs.lhs_ ) );
380 CT2 B(
serial( rhs.rhs_ ) );
390 (~lhs).reserve( A.nonZeros() + B.nonZeros() );
393 for(
size_t i=0UL; i<(~lhs).
rows(); ++i )
395 const LeftIterator lend( A.end(i) );
396 const RightIterator rend( B.end(i) );
398 LeftIterator l( A.begin(i) );
399 RightIterator r( B.begin(i) );
401 while( l != lend && r != rend )
403 if( l->index() < r->index() ) {
404 (~lhs).append( i, l->index(), l->value() );
407 else if( l->index() > r->index() ) {
408 (~lhs).append( i, r->index(), r->value() );
412 (~lhs).append( i, l->index(), l->value()+r->value() );
419 (~lhs).append( i, l->index(), l->value() );
424 (~lhs).append( i, r->index(), r->value() );
428 (~lhs).finalize( i );
446 template<
typename MT >
447 friend inline typename DisableIf< UseSymmetricKernel<MT,MT1,MT2> >::Type
460 CT1 A(
serial( rhs.lhs_ ) );
461 CT2 B(
serial( rhs.rhs_ ) );
470 const size_t m( A.rows() );
471 const size_t n( A.columns() );
474 std::vector<size_t> nonzeros( n, 0UL );
475 for(
size_t i=0UL; i<m; ++i )
477 const LeftIterator lend( A.end(i) );
478 const RightIterator rend( B.end(i) );
480 LeftIterator l( A.begin(i) );
481 RightIterator r( B.begin(i) );
483 while( l != lend && r != rend )
485 if( l->index() < r->index() ) {
486 ++nonzeros[l->index()];
489 else if( l->index() > r->index() ) {
490 ++nonzeros[r->index()];
494 ++nonzeros[l->index()];
501 ++nonzeros[l->index()];
506 ++nonzeros[r->index()];
512 for(
size_t j=0UL; j<n; ++j ) {
513 (~lhs).reserve( j, nonzeros[j] );
517 for(
size_t i=0UL; i<m; ++i )
519 const LeftIterator lend( A.end(i) );
520 const RightIterator rend( B.end(i) );
522 LeftIterator l( A.begin(i) );
523 RightIterator r( B.begin(i) );
525 while( l != lend && r != rend )
527 if( l->index() < r->index() ) {
528 (~lhs).append( i, l->index(), l->value() );
531 else if( l->index() > r->index() ) {
532 (~lhs).append( i, r->index(), r->value() );
536 (~lhs).append( i, l->index(), l->value()+r->value() );
543 (~lhs).append( i, l->index(), l->value() );
548 (~lhs).append( i, r->index(), r->value() );
568 template<
typename MT >
569 friend inline typename EnableIf< UseSymmetricKernel<MT,MT1,MT2> >::Type
596 template<
typename MT
627 template<
typename MT
676 template<
typename MT
678 friend inline typename EnableIf< UseSMPAssign<MT> >::Type
710 template<
typename MT
712 friend inline typename EnableIf< UseSMPAssign<MT> >::Type
785 template<
typename T1
787 inline const SMatSMatAddExpr<T1,T2>
793 throw std::invalid_argument(
"Matrix sizes do not match" );
810 template<
typename MT1,
typename MT2 >
811 struct Rows< SMatSMatAddExpr<MT1,MT2> >
812 :
public Max< Rows<MT1>, Rows<MT2> >::Type
828 template<
typename MT1,
typename MT2 >
829 struct Columns< SMatSMatAddExpr<MT1,MT2> >
830 :
public Max< Columns<MT1>, Columns<MT2> >::Type
846 template<
typename MT1,
typename MT2 >
847 struct IsSymmetric< SMatSMatAddExpr<MT1,MT2> >
848 :
public IsTrue< IsSymmetric<MT1>::value && IsSymmetric<MT2>::value >
864 template<
typename MT1,
typename MT2 >
865 struct IsLower< SMatSMatAddExpr<MT1,MT2> >
866 :
public IsTrue< And< IsLower<MT1>, IsLower<MT2> >::value >
882 template<
typename MT1,
typename MT2 >
883 struct IsUniLower< SMatSMatAddExpr<MT1,MT2> >
884 :
public IsTrue< Or< And< IsUniLower<MT1>, IsStrictlyLower<MT2> >
885 , And< IsUniLower<MT2>, IsStrictlyLower<MT1> > >::value >
901 template<
typename MT1,
typename MT2 >
902 struct IsStrictlyLower< SMatSMatAddExpr<MT1,MT2> >
903 :
public IsTrue< And< IsStrictlyLower<MT1>, IsStrictlyLower<MT2> >::value >
919 template<
typename MT1,
typename MT2 >
920 struct IsUpper< SMatSMatAddExpr<MT1,MT2> >
921 :
public IsTrue< And< IsUpper<MT1>, IsUpper<MT2> >::value >
937 template<
typename MT1,
typename MT2 >
938 struct IsUniUpper< SMatSMatAddExpr<MT1,MT2> >
939 :
public IsTrue< Or< And< IsUniUpper<MT1>, IsStrictlyUpper<MT2> >
940 , And< IsUniUpper<MT2>, IsStrictlyUpper<MT1> > >::value >
956 template<
typename MT1,
typename MT2 >
957 struct IsStrictlyUpper< SMatSMatAddExpr<MT1,MT2> >
958 :
public IsTrue< And< IsStrictlyUpper<MT1>, IsStrictlyUpper<MT2> >::value >
974 template<
typename MT1,
typename MT2,
bool AF >
975 struct SubmatrixExprTrait< SMatSMatAddExpr<MT1,MT2>, AF >
979 typedef typename AddExprTrait< typename SubmatrixExprTrait<const MT1,AF>::Type
980 ,
typename SubmatrixExprTrait<const MT2,AF>::Type >::Type Type;
989 template<
typename MT1,
typename MT2 >
990 struct RowExprTrait< SMatSMatAddExpr<MT1,MT2> >
994 typedef typename AddExprTrait< typename RowExprTrait<const MT1>::Type
995 ,
typename RowExprTrait<const MT2>::Type >::Type Type;
1004 template<
typename MT1,
typename MT2 >
1005 struct ColumnExprTrait< SMatSMatAddExpr<MT1,MT2> >
1009 typedef typename AddExprTrait< typename ColumnExprTrait<const MT1>::Type
1010 ,
typename ColumnExprTrait<const MT2>::Type >::Type Type;
size_t nonZeros() const
Returns the number of non-zero elements in the sparse matrix.
Definition: SMatSMatAddExpr.h:239
SMatSMatAddExpr(const MT1 &lhs, const MT2 &rhs)
Constructor for the SMatSMatAddExpr class.
Definition: SMatSMatAddExpr.h:191
Header file for the Max class template.
AddExprTrait< RN1, RN2 >::Type ExprReturnType
Expression return type for the subscript operator.
Definition: SMatSMatAddExpr.h:127
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:258
SelectType< IsExpression< MT1 >::value, const MT1, const MT1 & >::Type LeftOperand
Composite type of the left-hand side sparse matrix expression.
Definition: SMatSMatAddExpr.h:174
Efficient implementation of a compressed matrix.The CompressedMatrix class template is the represent...
Definition: CompressedMatrix.h:209
bool isAliased(const T *alias) const
Returns whether the expression is aliased with the given address alias.
Definition: SMatSMatAddExpr.h:294
Header file for the ColumnExprTrait class template.
const This & CompositeType
Data type for composite expression templates.
Definition: CompressedMatrix.h:2507
Type ElementType
Type of the sparse matrix elements.
Definition: CompressedMatrix.h:261
BLAZE_ALWAYS_INLINE size_t rows(const Matrix< MT, SO > &matrix)
Returns the current number of rows of the matrix.
Definition: Matrix.h:316
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:161
const DMatSerialExpr< MT, SO > serial(const DenseMatrix< MT, SO > &dm)
Forces the serial evaluation of the given dense matrix expression dm.
Definition: DMatSerialExpr.h:699
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: SMatSMatAddExpr.h:207
Header file for the Computation base class.
AddTrait< RT1, RT2 >::Type ResultType
Result type for expression template evaluations.
Definition: SMatSMatAddExpr.h:162
Header file for the RequiresEvaluation type trait.
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:107
bool isDefault(const DiagonalProxy< MT > &proxy)
Returns whether the represented element is in default state.
Definition: DiagonalProxy.h:861
Header file for the SparseMatrix base class.
MT1::ResultType RT1
Result type of the left-hand side sparse matrix expression.
Definition: SMatSMatAddExpr.h:109
size_t nonZeros(size_t i) const
Returns the number of non-zero elements in the specified row.
Definition: SMatSMatAddExpr.h:250
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:114
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:111
#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: StorageOrder.h:161
const Element * ConstIterator
Iterator over constant elements.
Definition: CompressedMatrix.h:2511
Header file for the Or class template.
BLAZE_ALWAYS_INLINE void assign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the assignment of a matrix to a matrix.
Definition: Matrix.h:635
Header file for the Columns type trait.
const DenseIterator< Type > operator+(const DenseIterator< Type > &it, ptrdiff_t inc)
Addition between a DenseIterator and an integral value.
Definition: DenseIterator.h:556
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:282
RightOperand rhs_
Right-hand side sparse matrix of the addition expression.
Definition: SMatSMatAddExpr.h:302
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
#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:112
RightOperand rightOperand() const
Returns the right-hand side sparse matrix operand.
Definition: SMatSMatAddExpr.h:270
MT1::ReturnType RN1
Return type of the left-hand side sparse matrix expression.
Definition: SMatSMatAddExpr.h:113
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: StorageOrder.h:81
const Type & ReturnType
Return type for expression template evaluations.
Definition: CompressedMatrix.h:2506
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:150
Header file for the addition trait.
BLAZE_ALWAYS_INLINE void addAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the addition assignment of a matrix to a matrix.
Definition: Matrix.h:742
const SelectType< returnExpr, ExprReturnType, ElementType >::Type ReturnType
Return type for expression template evaluations.
Definition: SMatSMatAddExpr.h:168
LeftOperand lhs_
Left-hand side sparse matrix of the addition expression.
Definition: SMatSMatAddExpr.h:301
LeftOperand leftOperand() const
Returns the left-hand side sparse matrix operand.
Definition: SMatSMatAddExpr.h:260
Constraint on the data type.
size_t rows() const
Returns the current number of rows of the matrix.
Definition: SMatSMatAddExpr.h:219
size_t columns() const
Returns the current number of columns of the matrix.
Definition: SMatSMatAddExpr.h:229
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:110
ResultType::ElementType ElementType
Resulting element type.
Definition: SMatSMatAddExpr.h:165
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:171
SelectType< IsExpression< MT2 >::value, const MT2, const MT2 & >::Type RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: SMatSMatAddExpr.h:177
const DMatTransExpr< MT,!SO > trans(const DenseMatrix< MT, SO > &dm)
Calculation of the transpose of the given dense matrix.
Definition: DMatTransExpr.h:937
Header file for the IsComputation type trait class.
Expression object for sparse matrix-sparse matrix additions.The SMatSMatAddExpr class represents the ...
Definition: Forward.h:96
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:2502
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:332
ResultType::TransposeType TransposeType
Transpose type for expression template evaluations.
Definition: SMatSMatAddExpr.h:164
ResultType::OppositeType OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: SMatSMatAddExpr.h:163
Header file for the IsUpper 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.
BLAZE_ALWAYS_INLINE void subAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the subtraction assignment of a matrix to matrix.
Definition: Matrix.h:849