35 #ifndef _BLAZE_MATH_EXPRESSIONS_SMATSMATSUBEXPR_H_
36 #define _BLAZE_MATH_EXPRESSIONS_SMATSMATSUBEXPR_H_
95 template<
typename MT1
97 class SMatSMatSubExpr :
public SparseMatrix< SMatSMatSubExpr<MT1,MT2>, false >
98 ,
private MatMatSubExpr
131 template<
typename T1,
typename T2,
typename T3 >
132 struct UseSymmetricKernel {
146 template<
typename MT >
147 struct UseSMPAssign {
148 enum { value = MT::smpAssignable };
176 enum { smpAssignable = 0 };
224 return lhs_.columns();
234 return lhs_.nonZeros() +
rhs_.nonZeros();
245 return lhs_.nonZeros(i) +
rhs_.nonZeros(i);
275 template<
typename T >
277 return (
lhs_.canAlias( alias ) ||
rhs_.canAlias( alias ) );
287 template<
typename T >
289 return (
lhs_.isAliased( alias ) ||
rhs_.isAliased( alias ) );
311 template<
typename MT
336 for(
size_t i=0UL; i<(~lhs).
rows(); ++i ) {
337 const RightIterator
end( B.end(i) );
338 for( RightIterator element=B.begin(i); element!=
end; ++element ) {
339 if(
isDefault( (~lhs)(i,element->index()) ) )
340 (~lhs)(i,element->index()) = -element->value();
342 (~lhs)(i,element->index()) -= element->value();
362 template<
typename MT >
384 (~lhs).reserve( A.nonZeros() + B.nonZeros() );
387 for(
size_t i=0UL; i<(~lhs).
rows(); ++i )
389 const LeftIterator lend( A.end(i) );
390 const RightIterator rend( B.end(i) );
392 LeftIterator l( A.begin(i) );
393 RightIterator r( B.begin(i) );
395 while( l != lend && r != rend )
397 if( l->index() < r->index() ) {
398 (~lhs).append( i, l->index(), l->value() );
401 else if( l->index() > r->index() ) {
402 (~lhs).append( i, r->index(), -r->value() );
406 (~lhs).append( i, l->index(), l->value()-r->value() );
413 (~lhs).append( i, l->index(), l->value() );
418 (~lhs).append( i, r->index(), -r->value() );
422 (~lhs).finalize( i );
440 template<
typename MT >
441 friend inline typename DisableIf< UseSymmetricKernel<MT,MT1,MT2> >::Type
464 const size_t m( rhs.rows() );
465 const size_t n( rhs.columns() );
468 std::vector<size_t> nonzeros( n, 0UL );
469 for(
size_t i=0UL; i<m; ++i )
471 const LeftIterator lend( A.end(i) );
472 const RightIterator rend( B.end(i) );
474 LeftIterator l( A.begin(i) );
475 RightIterator r( B.begin(i) );
477 while( l != lend && r != rend )
479 if( l->index() < r->index() ) {
480 ++nonzeros[l->index()];
483 else if( l->index() > r->index() ) {
484 ++nonzeros[r->index()];
488 ++nonzeros[l->index()];
495 ++nonzeros[l->index()];
500 ++nonzeros[r->index()];
506 for(
size_t j=0UL; j<n; ++j ) {
507 (~lhs).reserve( j, nonzeros[j] );
511 for(
size_t i=0UL; i<m; ++i )
513 const LeftIterator lend( A.end(i) );
514 const RightIterator rend( B.end(i) );
516 LeftIterator l( A.begin(i) );
517 RightIterator r( B.begin(i) );
519 while( l != lend && r != rend )
521 if( l->index() < r->index() ) {
522 (~lhs).append( i, l->index(), l->value() );
525 else if( l->index() > r->index() ) {
526 (~lhs).append( i, r->index(), -r->value() );
530 (~lhs).append( i, l->index(), l->value()-r->value() );
537 (~lhs).append( i, l->index(), l->value() );
542 (~lhs).append( i, r->index(), -r->value() );
562 template<
typename MT >
563 friend inline typename EnableIf< UseSymmetricKernel<MT,MT1,MT2> >::Type
590 template<
typename MT
621 template<
typename MT
670 template<
typename MT
672 friend inline typename EnableIf< UseSMPAssign<MT> >::Type
705 template<
typename MT
707 friend inline typename EnableIf< UseSMPAssign<MT> >::Type
780 template<
typename T1
782 inline const SMatSMatSubExpr<T1,T2>
788 throw std::invalid_argument(
"Matrix sizes do not match" );
805 template<
typename MT1,
typename MT2 >
806 struct Rows< SMatSMatSubExpr<MT1,MT2> >
807 :
public Max< Rows<MT1>, Rows<MT2> >::Type
823 template<
typename MT1,
typename MT2 >
824 struct Columns< SMatSMatSubExpr<MT1,MT2> >
825 :
public Max< Columns<MT1>, Columns<MT2> >::Type
841 template<
typename MT1,
typename MT2 >
842 struct IsSymmetric< SMatSMatSubExpr<MT1,MT2> >
843 :
public IsTrue< IsSymmetric<MT1>::value && IsSymmetric<MT2>::value >
859 template<
typename MT1,
typename MT2 >
860 struct IsLower< SMatSMatSubExpr<MT1,MT2> >
861 :
public IsTrue< IsLower<MT1>::value && IsLower<MT2>::value >
877 template<
typename MT1,
typename MT2 >
878 struct IsUpper< SMatSMatSubExpr<MT1,MT2> >
879 :
public IsTrue< IsUpper<MT1>::value && IsUpper<MT2>::value >
895 template<
typename MT1,
typename MT2,
bool AF >
896 struct SubmatrixExprTrait< SMatSMatSubExpr<MT1,MT2>, AF >
900 typedef typename SubExprTrait< typename SubmatrixExprTrait<const MT1,AF>::Type
901 ,
typename SubmatrixExprTrait<const MT2,AF>::Type >::Type Type;
910 template<
typename MT1,
typename MT2 >
911 struct RowExprTrait< SMatSMatSubExpr<MT1,MT2> >
915 typedef typename SubExprTrait< typename RowExprTrait<const MT1>::Type
916 ,
typename RowExprTrait<const MT2>::Type >::Type Type;
925 template<
typename MT1,
typename MT2 >
926 struct ColumnExprTrait< SMatSMatSubExpr<MT1,MT2> >
930 typedef typename SubExprTrait< typename ColumnExprTrait<const MT1>::Type
931 ,
typename ColumnExprTrait<const MT2>::Type >::Type Type;
Constraint on the data type.
Header file for the Max class template.
MT2::CompositeType CT2
Composite type of the right-hand side sparse matrix expression.
Definition: SMatSMatSubExpr.h:108
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 subtraction trait.
size_t nonZeros(size_t i) const
Returns the number of non-zero elements in the specified row.
Definition: SMatSMatSubExpr.h:244
LeftOperand leftOperand() const
Returns the left-hand side sparse matrix operand.
Definition: SMatSMatSubExpr.h:254
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
bool canAlias(const T *alias) const
Returns whether the expression can alias with the given address alias.
Definition: SMatSMatSubExpr.h:276
Efficient implementation of a compressed matrix.The CompressedMatrix class template is the represent...
Definition: CompressedMatrix.h:205
Header file for the ColumnExprTrait class template.
MT2::ReturnType RN2
ReturnType type of the right-hand side sparse matrix expression.
Definition: SMatSMatSubExpr.h:106
size_t nonZeros() const
Returns the number of non-zero elements in the sparse matrix.
Definition: SMatSMatSubExpr.h:233
SelectType< IsExpression< MT1 >::value, const MT1, const MT1 & >::Type LeftOperand
Composite type of the left-hand side sparse matrix expression.
Definition: SMatSMatSubExpr.h:168
const This & CompositeType
Data type for composite expression templates.
Definition: CompressedMatrix.h:2478
Type ElementType
Type of the sparse matrix elements.
Definition: CompressedMatrix.h:257
BLAZE_ALWAYS_INLINE size_t rows(const Matrix< MT, SO > &matrix)
Returns the current number of rows of the matrix.
Definition: Matrix.h:316
SMatSMatSubExpr< MT1, MT2 > This
Type of this SMatSMatSubExpr instance.
Definition: SMatSMatSubExpr.h:155
const SelectType< returnExpr, ExprReturnType, ElementType >::Type ReturnType
Return type for expression template evaluations.
Definition: SMatSMatSubExpr.h:162
ResultType::OppositeType OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: SMatSMatSubExpr.h:157
const DMatSerialExpr< MT, SO > serial(const DenseMatrix< MT, SO > &dm)
Forces the serial evaluation of the given dense matrix expression dm.
Definition: DMatSerialExpr.h:695
ResultType::ElementType ElementType
Resulting element type.
Definition: SMatSMatSubExpr.h:159
Header file for the Computation base class.
Header file for the RequiresEvaluation type trait.
size_t columns() const
Returns the current number of columns of the matrix.
Definition: SMatSMatSubExpr.h:223
const ResultType CompositeType
Data type for composite expression templates.
Definition: SMatSMatSubExpr.h:165
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
MT1::ReturnType RN1
ReturnType type of the left-hand side sparse matrix expression.
Definition: SMatSMatSubExpr.h:105
Header file for the SparseMatrix base class.
Constraint on the data type.
RightOperand rightOperand() const
Returns the right-hand side sparse matrix operand.
Definition: SMatSMatSubExpr.h:264
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 IsSymmetric type trait.
SubTrait< RT1, RT2 >::Type ResultType
Result type for expression template evaluations.
Definition: SMatSMatSubExpr.h:156
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: SMatSMatSubExpr.h:201
#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:2482
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.
LeftOperand lhs_
Left-hand side sparse matrix of the subtraction expression.
Definition: SMatSMatSubExpr.h:295
MT1::CompositeType CT1
Composite type of the left-hand side sparse matrix expression.
Definition: SMatSMatSubExpr.h:107
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
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.
bool isAliased(const T *alias) const
Returns whether the expression is aliased with the given address alias.
Definition: SMatSMatSubExpr.h:288
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:2477
Removal of reference modifiers.The RemoveCV type trait removes any reference modifiers from the given...
Definition: RemoveReference.h:69
RightOperand rhs_
Right-hand side sparse matrix of the subtraction expression.
Definition: SMatSMatSubExpr.h:296
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
const DenseIterator< Type > operator-(const DenseIterator< Type > &it, ptrdiff_t inc)
Subtraction between a DenseIterator and an integral value.
Definition: DenseIterator.h:585
SubExprTrait< RN1, RN2 >::Type ExprReturnType
Expression return type for the subscript operator.
Definition: SMatSMatSubExpr.h:121
Header file for the isDefault shim.
BLAZE_ALWAYS_INLINE bool isDefault(const NonNumericProxy< MT > &proxy)
Returns whether the represented element is in default state.
Definition: NonNumericProxy.h:874
Constraint on the data type.
MT2::ResultType RT2
Result type of the right-hand side sparse matrix expression.
Definition: SMatSMatSubExpr.h:104
SelectType< IsExpression< MT2 >::value, const MT2, const MT2 & >::Type RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: SMatSMatSubExpr.h:171
ResultType::TransposeType TransposeType
Transpose type for expression template evaluations.
Definition: SMatSMatSubExpr.h:158
Header file for the RemoveReference type trait.
const DMatTransExpr< MT,!SO > trans(const DenseMatrix< MT, SO > &dm)
Calculation of the transpose of the given dense matrix.
Definition: DMatTransExpr.h:932
Header file for the IsComputation type trait class.
size_t rows() const
Returns the current number of rows of the matrix.
Definition: SMatSMatSubExpr.h:213
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:2473
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
MT1::ResultType RT1
Result type of the left-hand side sparse matrix expression.
Definition: SMatSMatSubExpr.h:103
Header file for basic type definitions.
#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:142
Header file for the IsUpper type trait.
Header file for the IsResizable type trait.
Header file for the SubExprTrait class template.
SMatSMatSubExpr(const MT1 &lhs, const MT2 &rhs)
Constructor for the SMatSMatSubExpr class.
Definition: SMatSMatSubExpr.h:185
#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