35 #ifndef _BLAZE_MATH_EXPRESSIONS_SMATSMATSUBEXPR_H_
36 #define _BLAZE_MATH_EXPRESSIONS_SMATSMATSUBEXPR_H_
100 template<
typename MT1
102 class SMatSMatSubExpr :
public SparseMatrix< SMatSMatSubExpr<MT1,MT2>, false >
103 ,
private MatMatSubExpr
104 ,
private Computation
136 template<
typename T1,
typename T2,
typename T3 >
137 struct UseSymmetricKernel {
151 template<
typename MT >
152 struct UseSMPAssign {
153 enum { value = MT::smpAssignable };
181 enum { smpAssignable = 0 };
229 return lhs_.columns();
239 return lhs_.nonZeros() +
rhs_.nonZeros();
250 return lhs_.nonZeros(i) +
rhs_.nonZeros(i);
280 template<
typename T >
282 return (
lhs_.canAlias( alias ) ||
rhs_.canAlias( alias ) );
292 template<
typename T >
294 return (
lhs_.isAliased( alias ) ||
rhs_.isAliased( alias ) );
316 template<
typename MT
334 CT2 B(
serial( rhs.rhs_ ) );
341 for(
size_t i=0UL; i<(~lhs).
rows(); ++i ) {
342 const RightIterator
end( B.end(i) );
343 for( RightIterator element=B.begin(i); element!=
end; ++element ) {
344 if(
isDefault( (~lhs)(i,element->index()) ) )
345 (~lhs)(i,element->index()) = -element->value();
347 (~lhs)(i,element->index()) -= element->value();
367 template<
typename MT >
378 CT1 A(
serial( rhs.lhs_ ) );
379 CT2 B(
serial( rhs.rhs_ ) );
389 (~lhs).reserve( A.nonZeros() + B.nonZeros() );
392 for(
size_t i=0UL; i<(~lhs).
rows(); ++i )
394 const LeftIterator lend( A.end(i) );
395 const RightIterator rend( B.end(i) );
397 LeftIterator l( A.begin(i) );
398 RightIterator r( B.begin(i) );
400 while( l != lend && r != rend )
402 if( l->index() < r->index() ) {
403 (~lhs).append( i, l->index(), l->value() );
406 else if( l->index() > r->index() ) {
407 (~lhs).append( i, r->index(), -r->value() );
411 (~lhs).append( i, l->index(), l->value()-r->value() );
418 (~lhs).append( i, l->index(), l->value() );
423 (~lhs).append( i, r->index(), -r->value() );
427 (~lhs).finalize( i );
445 template<
typename MT >
446 friend inline typename DisableIf< UseSymmetricKernel<MT,MT1,MT2> >::Type
459 CT1 A(
serial( rhs.lhs_ ) );
460 CT2 B(
serial( rhs.rhs_ ) );
469 const size_t m( rhs.rows() );
470 const size_t n( rhs.columns() );
473 std::vector<size_t> nonzeros( n, 0UL );
474 for(
size_t i=0UL; i<m; ++i )
476 const LeftIterator lend( A.end(i) );
477 const RightIterator rend( B.end(i) );
479 LeftIterator l( A.begin(i) );
480 RightIterator r( B.begin(i) );
482 while( l != lend && r != rend )
484 if( l->index() < r->index() ) {
485 ++nonzeros[l->index()];
488 else if( l->index() > r->index() ) {
489 ++nonzeros[r->index()];
493 ++nonzeros[l->index()];
500 ++nonzeros[l->index()];
505 ++nonzeros[r->index()];
511 for(
size_t j=0UL; j<n; ++j ) {
512 (~lhs).reserve( j, nonzeros[j] );
516 for(
size_t i=0UL; i<m; ++i )
518 const LeftIterator lend( A.end(i) );
519 const RightIterator rend( B.end(i) );
521 LeftIterator l( A.begin(i) );
522 RightIterator r( B.begin(i) );
524 while( l != lend && r != rend )
526 if( l->index() < r->index() ) {
527 (~lhs).append( i, l->index(), l->value() );
530 else if( l->index() > r->index() ) {
531 (~lhs).append( i, r->index(), -r->value() );
535 (~lhs).append( i, l->index(), l->value()-r->value() );
542 (~lhs).append( i, l->index(), l->value() );
547 (~lhs).append( i, r->index(), -r->value() );
567 template<
typename MT >
568 friend inline typename EnableIf< UseSymmetricKernel<MT,MT1,MT2> >::Type
595 template<
typename MT
626 template<
typename MT
675 template<
typename MT
677 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 SMatSMatSubExpr<T1,T2>
793 throw std::invalid_argument(
"Matrix sizes do not match" );
810 template<
typename MT1,
typename MT2 >
811 struct Rows< SMatSMatSubExpr<MT1,MT2> >
812 :
public Max< Rows<MT1>, Rows<MT2> >::Type
828 template<
typename MT1,
typename MT2 >
829 struct Columns< SMatSMatSubExpr<MT1,MT2> >
830 :
public Max< Columns<MT1>, Columns<MT2> >::Type
846 template<
typename MT1,
typename MT2 >
847 struct IsSymmetric< SMatSMatSubExpr<MT1,MT2> >
848 :
public IsTrue< IsSymmetric<MT1>::value && IsSymmetric<MT2>::value >
864 template<
typename MT1,
typename MT2 >
865 struct IsLower< SMatSMatSubExpr<MT1,MT2> >
866 :
public IsTrue< And< IsLower<MT1>, IsLower<MT2> >::value >
882 template<
typename MT1,
typename MT2 >
883 struct IsUniLower< SMatSMatSubExpr<MT1,MT2> >
884 :
public IsTrue< And< IsUniLower<MT1>, IsStrictlyLower<MT2> >::value >
900 template<
typename MT1,
typename MT2 >
901 struct IsStrictlyLower< SMatSMatSubExpr<MT1,MT2> >
902 :
public IsTrue< And< IsStrictlyLower<MT1>, IsStrictlyLower<MT2> >::value >
918 template<
typename MT1,
typename MT2 >
919 struct IsUpper< SMatSMatSubExpr<MT1,MT2> >
920 :
public IsTrue< And< IsUpper<MT1>, IsUpper<MT2> >::value >
936 template<
typename MT1,
typename MT2 >
937 struct IsUniUpper< SMatSMatSubExpr<MT1,MT2> >
938 :
public IsTrue< And< IsUniUpper<MT1>, IsStrictlyUpper<MT2> >::value >
954 template<
typename MT1,
typename MT2 >
955 struct IsStrictlyUpper< SMatSMatSubExpr<MT1,MT2> >
956 :
public IsTrue< And< IsStrictlyUpper<MT1>, IsStrictlyUpper<MT2> >::value >
972 template<
typename MT1,
typename MT2,
bool AF >
973 struct SubmatrixExprTrait< SMatSMatSubExpr<MT1,MT2>, AF >
977 typedef typename SubExprTrait< typename SubmatrixExprTrait<const MT1,AF>::Type
978 ,
typename SubmatrixExprTrait<const MT2,AF>::Type >::Type Type;
987 template<
typename MT1,
typename MT2 >
988 struct RowExprTrait< SMatSMatSubExpr<MT1,MT2> >
992 typedef typename SubExprTrait< typename RowExprTrait<const MT1>::Type
993 ,
typename RowExprTrait<const MT2>::Type >::Type Type;
1002 template<
typename MT1,
typename MT2 >
1003 struct ColumnExprTrait< SMatSMatSubExpr<MT1,MT2> >
1007 typedef typename SubExprTrait< typename ColumnExprTrait<const MT1>::Type
1008 ,
typename ColumnExprTrait<const MT2>::Type >::Type Type;
RightOperand rightOperand() const
Returns the right-hand side sparse matrix operand.
Definition: SMatSMatSubExpr.h:269
Constraint on the data type.
Header file for the Max class template.
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.
SubExprTrait< RN1, RN2 >::Type ExprReturnType
Expression return type for the subscript operator.
Definition: SMatSMatSubExpr.h:126
Header file for the subtraction trait.
MT2::CompositeType CT2
Composite type of the right-hand side sparse matrix expression.
Definition: SMatSMatSubExpr.h:113
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: SMatSMatSubExpr.h:206
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
const ResultType CompositeType
Data type for composite expression templates.
Definition: SMatSMatSubExpr.h:170
SMatSMatSubExpr(const MT1 &lhs, const MT2 &rhs)
Constructor for the SMatSMatSubExpr class.
Definition: SMatSMatSubExpr.h:190
Efficient implementation of a compressed matrix.The CompressedMatrix class template is the represent...
Definition: CompressedMatrix.h:209
MT2::ReturnType RN2
ReturnType type of the right-hand side sparse matrix expression.
Definition: SMatSMatSubExpr.h:111
bool isAliased(const T *alias) const
Returns whether the expression is aliased with the given address alias.
Definition: SMatSMatSubExpr.h:293
Header file for the ColumnExprTrait class template.
SMatSMatSubExpr< MT1, MT2 > This
Type of this SMatSMatSubExpr instance.
Definition: SMatSMatSubExpr.h:160
size_t rows() const
Returns the current number of rows of the matrix.
Definition: SMatSMatSubExpr.h:218
const This & CompositeType
Data type for composite expression templates.
Definition: CompressedMatrix.h:2507
ResultType::TransposeType TransposeType
Transpose type for expression template evaluations.
Definition: SMatSMatSubExpr.h:163
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.
const SelectType< returnExpr, ExprReturnType, ElementType >::Type ReturnType
Return type for expression template evaluations.
Definition: SMatSMatSubExpr.h:167
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
Header file for the Computation base class.
Header file for the RequiresEvaluation type trait.
MT1::CompositeType CT1
Composite type of the left-hand side sparse matrix expression.
Definition: SMatSMatSubExpr.h:112
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.
Constraint on the data type.
ResultType::ElementType ElementType
Resulting element type.
Definition: SMatSMatSubExpr.h:164
bool canAlias(const T *alias) const
Returns whether the expression can alias with the given address alias.
Definition: SMatSMatSubExpr.h:281
SubTrait< RT1, RT2 >::Type ResultType
Result type for expression template evaluations.
Definition: SMatSMatSubExpr.h:161
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.
Header file for the IsSymmetric type trait.
Namespace of the Blaze C++ math library.
Definition: Blaze.h:57
#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
MT2::ResultType RT2
Result type of the right-hand side sparse matrix expression.
Definition: SMatSMatSubExpr.h:109
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.
Header file for the MatMatSubExpr base class.
Header file for the IsLower type trait.
MT1::ResultType RT1
Result type of the left-hand side sparse matrix expression.
Definition: SMatSMatSubExpr.h:108
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
Evaluation of the return type of a subtraction expression.Via this type trait it is possible to evalu...
Definition: SubExprTrait.h:104
LeftOperand lhs_
Left-hand side sparse matrix of the subtraction expression.
Definition: SMatSMatSubExpr.h:300
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.
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.
Expression object for sparse matrix-sparse matrix subtractions.The SMatSMatSubExpr class represents t...
Definition: Forward.h:98
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
RightOperand rhs_
Right-hand side sparse matrix of the subtraction expression.
Definition: SMatSMatSubExpr.h:301
SelectType< IsExpression< MT1 >::value, const MT1, const MT1 & >::Type LeftOperand
Composite type of the left-hand side sparse matrix expression.
Definition: SMatSMatSubExpr.h:173
size_t columns() const
Returns the current number of columns of the matrix.
Definition: SMatSMatSubExpr.h:228
const DenseIterator< Type > operator-(const DenseIterator< Type > &it, ptrdiff_t inc)
Subtraction between a DenseIterator and an integral value.
Definition: DenseIterator.h:585
Header file for the isDefault shim.
ResultType::OppositeType OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: SMatSMatSubExpr.h:162
Constraint on the data type.
Header file for the RemoveReference type trait.
size_t nonZeros() const
Returns the number of non-zero elements in the sparse matrix.
Definition: SMatSMatSubExpr.h:238
LeftOperand leftOperand() const
Returns the left-hand side sparse matrix operand.
Definition: SMatSMatSubExpr.h:259
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.
size_t nonZeros(size_t i) const
Returns the number of non-zero elements in the specified row.
Definition: SMatSMatSubExpr.h:249
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
#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:165
Base template for the SubTrait class.
Definition: SubTrait.h:150
Header file for the IsUpper type trait.
MT1::ReturnType RN1
ReturnType type of the left-hand side sparse matrix expression.
Definition: SMatSMatSubExpr.h:110
Header file for the IsResizable type trait.
Header file for the SubExprTrait class template.
#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
SelectType< IsExpression< MT2 >::value, const MT2, const MT2 & >::Type RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: SMatSMatSubExpr.h:176
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