35 #ifndef _BLAZE_MATH_EXPRESSIONS_SMATTSMATSUBEXPR_H_
36 #define _BLAZE_MATH_EXPRESSIONS_SMATTSMATSUBEXPR_H_
100 template<
typename MT1
102 class SMatTSMatSubExpr :
public SparseMatrix< SMatTSMatSubExpr<MT1,MT2>, false >
103 ,
private MatMatSubExpr
104 ,
private Computation
137 template<
typename T1,
typename T2 >
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 j=0UL; j<(~lhs).
columns(); ++j ) {
343 const RightIterator
end( B.end(j) );
344 for( RightIterator element=B.begin(j); element!=
end; ++element ) {
345 if(
isDefault( (~lhs)(element->index(),j) ) )
346 (~lhs)(element->index(),j) = -element->value();
348 (~lhs)(element->index(),j) -= element->value();
369 template<
typename MT >
382 CT1 A(
serial( rhs.lhs_ ) );
395 (~lhs).reserve( A.nonZeros() + B.nonZeros() );
398 for(
size_t i=0UL; i<(~lhs).
rows(); ++i )
400 const LeftIterator lend( A.end(i) );
401 const RightIterator rend( B.end(i) );
403 LeftIterator l( A.begin(i) );
404 RightIterator r( B.begin(i) );
406 while( l != lend && r != rend )
408 if( l->index() < r->index() ) {
409 (~lhs).append( i, l->index(), l->value() );
412 else if( l->index() > r->index() ) {
413 (~lhs).append( i, r->index(), -r->value() );
417 (~lhs).append( i, l->index(), l->value()-r->value() );
424 (~lhs).append( i, l->index(), l->value() );
429 (~lhs).append( i, r->index(), -r->value() );
433 (~lhs).finalize( i );
452 template<
typename MT >
453 friend inline typename EnableIf< UseSymmetricKernel<MT,MT2> >::Type
479 template<
typename MT >
480 friend inline typename DisableIf< UseSymmetricKernel<MT,MT1> >::Type
497 CT2 B(
serial( rhs.rhs_ ) );
507 (~lhs).reserve( A.nonZeros() + B.nonZeros() );
510 for(
size_t j=0UL; j<(~lhs).
columns(); ++j )
512 const LeftIterator lend( A.end(j) );
513 const RightIterator rend( B.end(j) );
515 LeftIterator l( A.begin(j) );
516 RightIterator r( B.begin(j) );
518 while( l != lend && r != rend )
520 if( l->index() < r->index() ) {
521 (~lhs).append( l->index(), j, l->value() );
524 else if( l->index() > r->index() ) {
525 (~lhs).append( r->index(), j, -r->value() );
529 (~lhs).append( l->index(), j, l->value()-r->value() );
536 (~lhs).append( l->index(), j, l->value() );
541 (~lhs).append( r->index(), j, -r->value() );
545 (~lhs).finalize( j );
564 template<
typename MT >
565 friend inline typename EnableIf< UseSymmetricKernel<MT,MT1> >::Type
593 template<
typename MT
625 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
788 template<
typename T1
790 inline const SMatTSMatSubExpr<T1,T2>
796 throw std::invalid_argument(
"Matrix sizes do not match" );
813 template<
typename MT1,
typename MT2 >
814 struct Rows< SMatTSMatSubExpr<MT1,MT2> >
815 :
public Max< Rows<MT1>, Rows<MT2> >::Type
831 template<
typename MT1,
typename MT2 >
832 struct Columns< SMatTSMatSubExpr<MT1,MT2> >
833 :
public Max< Columns<MT1>, Columns<MT2> >::Type
849 template<
typename MT1,
typename MT2 >
850 struct IsSymmetric< SMatTSMatSubExpr<MT1,MT2> >
851 :
public IsTrue< IsSymmetric<MT1>::value && IsSymmetric<MT2>::value >
867 template<
typename MT1,
typename MT2 >
868 struct IsLower< SMatTSMatSubExpr<MT1,MT2> >
869 :
public IsTrue< And< IsLower<MT1>, IsLower<MT2> >::value >
885 template<
typename MT1,
typename MT2 >
886 struct IsUniLower< SMatTSMatSubExpr<MT1,MT2> >
887 :
public IsTrue< And< IsUniLower<MT1>, IsStrictlyLower<MT2> >::value >
903 template<
typename MT1,
typename MT2 >
904 struct IsStrictlyLower< SMatTSMatSubExpr<MT1,MT2> >
905 :
public IsTrue< And< IsStrictlyLower<MT1>, IsStrictlyLower<MT2> >::value >
921 template<
typename MT1,
typename MT2 >
922 struct IsUpper< SMatTSMatSubExpr<MT1,MT2> >
923 :
public IsTrue< And< IsUpper<MT1>, IsUpper<MT2> >::value >
939 template<
typename MT1,
typename MT2 >
940 struct IsUniUpper< SMatTSMatSubExpr<MT1,MT2> >
941 :
public IsTrue< And< IsUniUpper<MT1>, IsStrictlyUpper<MT2> >::value >
957 template<
typename MT1,
typename MT2 >
958 struct IsStrictlyUpper< SMatTSMatSubExpr<MT1,MT2> >
959 :
public IsTrue< And< IsStrictlyUpper<MT1>, IsStrictlyUpper<MT2> >::value >
975 template<
typename MT1,
typename MT2,
bool AF >
976 struct SubmatrixExprTrait< SMatTSMatSubExpr<MT1,MT2>, AF >
980 typedef typename SubExprTrait< typename SubmatrixExprTrait<const MT1,AF>::Type
981 ,
typename SubmatrixExprTrait<const MT2,AF>::Type >::Type Type;
990 template<
typename MT1,
typename MT2 >
991 struct RowExprTrait< SMatTSMatSubExpr<MT1,MT2> >
995 typedef typename SubExprTrait< typename RowExprTrait<const MT1>::Type
996 ,
typename RowExprTrait<const MT2>::Type >::Type Type;
1005 template<
typename MT1,
typename MT2 >
1006 struct ColumnExprTrait< SMatTSMatSubExpr<MT1,MT2> >
1010 typedef typename SubExprTrait< typename ColumnExprTrait<const MT1>::Type
1011 ,
typename ColumnExprTrait<const MT2>::Type >::Type Type;
Constraint on the data type.
Header file for the Max class template.
size_t columns() const
Returns the current number of columns of the matrix.
Definition: SMatTSMatSubExpr.h:229
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 the subtraction 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
Efficient implementation of a compressed matrix.The CompressedMatrix class template is the represent...
Definition: CompressedMatrix.h:209
Header file for the ColumnExprTrait class template.
SubExprTrait< RN1, RN2 >::Type ExprReturnType
Expression return type for the subscript operator.
Definition: SMatTSMatSubExpr.h:126
SelectType< IsExpression< MT2 >::value, const MT2, const MT2 & >::Type RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: SMatTSMatSubExpr.h:177
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
LeftOperand lhs_
Left-hand side sparse matrix of the subtraction expression.
Definition: SMatTSMatSubExpr.h:301
BLAZE_ALWAYS_INLINE size_t rows(const Matrix< MT, SO > &matrix)
Returns the current number of rows of the matrix.
Definition: Matrix.h:316
SubTrait< RT1, RT2 >::Type ResultType
Result type for expression template evaluations.
Definition: SMatTSMatSubExpr.h:162
Header file for the And class template.
MT2::ReturnType RN2
Return type of the right-hand side sparse matrix expression.
Definition: SMatTSMatSubExpr.h:111
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.
Header file for the IsUniLower type trait.
CompressedMatrix< Type, false > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: CompressedMatrix.h:2503
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.
const ResultType CompositeType
Data type for composite expression templates.
Definition: SMatTSMatSubExpr.h:171
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
Expression object for sparse matrix-transpose sparse matrix subtractions.The SMatTSMatSubExpr class r...
Definition: Forward.h:106
MT1::CompositeType CT1
Composite type of the left-hand side sparse matrix expression.
Definition: SMatTSMatSubExpr.h:112
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.
MT1::ReturnType RN1
Return type of the left-hand side sparse matrix expression.
Definition: SMatTSMatSubExpr.h:110
Header file for the IsLower type trait.
SelectType< IsExpression< MT1 >::value, const MT1, const MT1 & >::Type LeftOperand
Composite type of the left-hand side sparse matrix expression.
Definition: SMatTSMatSubExpr.h:174
MT1::ResultType RT1
Result type of the left-hand side sparse matrix expression.
Definition: SMatTSMatSubExpr.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
RightOperand rightOperand() const
Returns the right-hand side transpose sparse matrix operand.
Definition: SMatTSMatSubExpr.h:270
bool canAlias(const T *alias) const
Returns whether the expression can alias with the given address alias.
Definition: SMatTSMatSubExpr.h:282
MT2::CompositeType CT2
Composite type of the right-hand side sparse matrix expression.
Definition: SMatTSMatSubExpr.h:113
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.
LeftOperand leftOperand() const
Returns the left-hand side sparse matrix operand.
Definition: SMatTSMatSubExpr.h:260
Header file for the serial shim.
#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:325
size_t nonZeros(size_t i) const
Returns the number of non-zero elements in the specified row.
Definition: SMatTSMatSubExpr.h:250
MT2::ResultType RT2
Result type of the right-hand side sparse matrix expression.
Definition: SMatTSMatSubExpr.h:109
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.
SMatTSMatSubExpr< MT1, MT2 > This
Type of this SMatTSMatSubExpr instance.
Definition: SMatTSMatSubExpr.h:161
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
size_t rows() const
Returns the current number of rows of the matrix.
Definition: SMatTSMatSubExpr.h:219
const DenseIterator< Type > operator-(const DenseIterator< Type > &it, ptrdiff_t inc)
Subtraction between a DenseIterator and an integral value.
Definition: DenseIterator.h:585
const SelectType< returnExpr, ExprReturnType, ElementType >::Type ReturnType
Return type for expression template evaluations.
Definition: SMatTSMatSubExpr.h:168
Header file for the isDefault shim.
Constraint on the data type.
ResultType::ElementType ElementType
Resulting element type.
Definition: SMatTSMatSubExpr.h:165
Header file for the RemoveReference type trait.
Substitution Failure Is Not An Error (SFINAE) class.The DisableIf class template is an auxiliary tool...
Definition: DisableIf.h:184
size_t nonZeros() const
Returns the number of non-zero elements in the sparse matrix.
Definition: SMatTSMatSubExpr.h:239
ResultType::OppositeType OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: SMatTSMatSubExpr.h:163
ResultType::TransposeType TransposeType
Transpose type for expression template evaluations.
Definition: SMatTSMatSubExpr.h:164
bool isAliased(const T *alias) const
Returns whether the expression is aliased with the given address alias.
Definition: SMatTSMatSubExpr.h:294
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.
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
RightOperand rhs_
Right-hand side sparse matrix of the subtraction expression.
Definition: SMatTSMatSubExpr.h:302
#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.
Header file for the IsResizable type trait.
Header file for the SubExprTrait class template.
SMatTSMatSubExpr(const MT1 &lhs, const MT2 &rhs)
Constructor for the SMatTSMatSubExpr class.
Definition: SMatTSMatSubExpr.h:191
#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
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: SMatTSMatSubExpr.h:207
#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