35 #ifndef _BLAZE_MATH_EXPRESSIONS_SMATTSMATSUBEXPR_H_
36 #define _BLAZE_MATH_EXPRESSIONS_SMATTSMATSUBEXPR_H_
102 template<
typename MT1
104 class SMatTSMatSubExpr :
public SparseMatrix< SMatTSMatSubExpr<MT1,MT2>, false >
105 ,
private MatMatSubExpr
106 ,
private Computation
139 template<
typename T1,
typename T2 >
140 struct UseSymmetricKernel {
154 template<
typename MT >
155 struct UseSMPAssign {
156 enum { value = MT::smpAssignable };
184 enum { smpAssignable = 0 };
224 inline ReturnType
at(
size_t i,
size_t j )
const {
225 if( i >=
lhs_.rows() ) {
228 if( j >=
lhs_.columns() ) {
251 return lhs_.columns();
261 return lhs_.nonZeros() +
rhs_.nonZeros();
272 return lhs_.nonZeros(i) +
rhs_.nonZeros(i);
302 template<
typename T >
304 return (
lhs_.canAlias( alias ) ||
rhs_.canAlias( alias ) );
314 template<
typename T >
316 return (
lhs_.isAliased( alias ) ||
rhs_.isAliased( alias ) );
338 template<
typename MT
349 assign( ~lhs, rhs.lhs_ );
352 subAssign( ~lhs, rhs.rhs_ );
356 CT2 B(
serial( rhs.rhs_ ) );
363 for(
size_t j=0UL; j<(~lhs).
columns(); ++j ) {
364 const RightIterator
end( B.end(j) );
365 for( RightIterator element=B.begin(j); element!=
end; ++element ) {
366 if(
isDefault( (~lhs)(element->index(),j) ) )
367 (~lhs)(element->index(),j) = -element->value();
369 (~lhs)(element->index(),j) -= element->value();
390 template<
typename MT >
403 CT1 A(
serial( rhs.lhs_ ) );
416 (~lhs).reserve( A.nonZeros() + B.nonZeros() );
419 for(
size_t i=0UL; i<(~lhs).
rows(); ++i )
421 const LeftIterator lend( A.end(i) );
422 const RightIterator rend( B.end(i) );
424 LeftIterator l( A.begin(i) );
425 RightIterator r( B.begin(i) );
427 while( l != lend && r != rend )
429 if( l->index() < r->index() ) {
430 (~lhs).append( i, l->index(), l->value() );
433 else if( l->index() > r->index() ) {
434 (~lhs).append( i, r->index(), -r->value() );
438 (~lhs).append( i, l->index(), l->value()-r->value() );
445 (~lhs).append( i, l->index(), l->value() );
450 (~lhs).append( i, r->index(), -r->value() );
454 (~lhs).finalize( i );
473 template<
typename MT >
474 friend inline typename EnableIf< UseSymmetricKernel<MT,MT2> >::Type
482 assign( ~lhs, rhs.lhs_ -
trans( rhs.rhs_ ) );
500 template<
typename MT >
501 friend inline typename DisableIf< UseSymmetricKernel<MT,MT1> >::Type
518 CT2 B(
serial( rhs.rhs_ ) );
528 (~lhs).reserve( A.nonZeros() + B.nonZeros() );
531 for(
size_t j=0UL; j<(~lhs).
columns(); ++j )
533 const LeftIterator lend( A.end(j) );
534 const RightIterator rend( B.end(j) );
536 LeftIterator l( A.begin(j) );
537 RightIterator r( B.begin(j) );
539 while( l != lend && r != rend )
541 if( l->index() < r->index() ) {
542 (~lhs).append( l->index(), j, l->value() );
545 else if( l->index() > r->index() ) {
546 (~lhs).append( r->index(), j, -r->value() );
550 (~lhs).append( l->index(), j, l->value()-r->value() );
557 (~lhs).append( l->index(), j, l->value() );
562 (~lhs).append( r->index(), j, -r->value() );
566 (~lhs).finalize( j );
585 template<
typename MT >
586 friend inline typename EnableIf< UseSymmetricKernel<MT,MT1> >::Type
596 assign( ~lhs,
trans( rhs.lhs_ ) - rhs.rhs_ );
614 template<
typename MT
616 friend inline void addAssign( DenseMatrix<MT,SO>& lhs,
const SMatTSMatSubExpr& rhs )
623 addAssign( ~lhs, rhs.lhs_ );
624 subAssign( ~lhs, rhs.rhs_ );
646 template<
typename MT
648 friend inline void subAssign( DenseMatrix<MT,SO>& lhs,
const SMatTSMatSubExpr& rhs )
655 subAssign( ~lhs, rhs.lhs_ );
656 addAssign( ~lhs, rhs.rhs_ );
696 template<
typename MT
698 friend inline typename EnableIf< UseSMPAssign<MT> >::Type
731 template<
typename MT
733 friend inline typename EnableIf< UseSMPAssign<MT> >::Type
809 template<
typename T1
811 inline const SMatTSMatSubExpr<T1,T2>
835 template<
typename MT1,
typename MT2 >
836 struct Rows< SMatTSMatSubExpr<MT1,MT2> >
837 :
public Max< Rows<MT1>, Rows<MT2> >
853 template<
typename MT1,
typename MT2 >
854 struct Columns< SMatTSMatSubExpr<MT1,MT2> >
855 :
public Max< Columns<MT1>, Columns<MT2> >
871 template<
typename MT1,
typename MT2 >
872 struct IsSymmetric< SMatTSMatSubExpr<MT1,MT2> >
873 :
public IsTrue< IsSymmetric<MT1>::value && IsSymmetric<MT2>::value >
889 template<
typename MT1,
typename MT2 >
890 struct IsHermitian< SMatTSMatSubExpr<MT1,MT2> >
891 :
public IsTrue< IsHermitian<MT1>::value && IsHermitian<MT2>::value >
907 template<
typename MT1,
typename MT2 >
908 struct IsLower< SMatTSMatSubExpr<MT1,MT2> >
909 :
public IsTrue< And< IsLower<MT1>, IsLower<MT2> >::value >
925 template<
typename MT1,
typename MT2 >
926 struct IsUniLower< SMatTSMatSubExpr<MT1,MT2> >
927 :
public IsTrue< And< IsUniLower<MT1>, IsStrictlyLower<MT2> >::value >
943 template<
typename MT1,
typename MT2 >
944 struct IsStrictlyLower< SMatTSMatSubExpr<MT1,MT2> >
945 :
public IsTrue< And< IsStrictlyLower<MT1>, IsStrictlyLower<MT2> >::value >
961 template<
typename MT1,
typename MT2 >
962 struct IsUpper< SMatTSMatSubExpr<MT1,MT2> >
963 :
public IsTrue< And< IsUpper<MT1>, IsUpper<MT2> >::value >
979 template<
typename MT1,
typename MT2 >
980 struct IsUniUpper< SMatTSMatSubExpr<MT1,MT2> >
981 :
public IsTrue< And< IsUniUpper<MT1>, IsStrictlyUpper<MT2> >::value >
997 template<
typename MT1,
typename MT2 >
998 struct IsStrictlyUpper< SMatTSMatSubExpr<MT1,MT2> >
999 :
public IsTrue< And< IsStrictlyUpper<MT1>, IsStrictlyUpper<MT2> >::value >
1015 template<
typename MT1,
typename MT2,
bool AF >
1016 struct SubmatrixExprTrait< SMatTSMatSubExpr<MT1,MT2>, AF >
1020 typedef typename SubExprTrait< typename SubmatrixExprTrait<const MT1,AF>::Type
1021 ,
typename SubmatrixExprTrait<const MT2,AF>::Type >::Type Type;
1030 template<
typename MT1,
typename MT2 >
1031 struct RowExprTrait< SMatTSMatSubExpr<MT1,MT2> >
1035 typedef typename SubExprTrait< typename RowExprTrait<const MT1>::Type
1036 ,
typename RowExprTrait<const MT2>::Type >::Type Type;
1045 template<
typename MT1,
typename MT2 >
1046 struct ColumnExprTrait< SMatTSMatSubExpr<MT1,MT2> >
1050 typedef typename SubExprTrait< typename ColumnExprTrait<const MT1>::Type
1051 ,
typename ColumnExprTrait<const MT2>::Type >::Type Type;
Constraint on the data 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
Header file for the Max class template.
size_t columns() const
Returns the current number of columns of the matrix.
Definition: SMatTSMatSubExpr.h:250
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:250
Efficient implementation of a compressed matrix.The CompressedMatrix class template is the represent...
Definition: CompressedMatrix.h:207
Header file for the ColumnExprTrait class template.
SubExprTrait< RN1, RN2 >::Type ExprReturnType
Expression return type for the subscript operator.
Definition: SMatTSMatSubExpr.h:128
SelectType< IsExpression< MT2 >::value, const MT2, const MT2 & >::Type RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: SMatTSMatSubExpr.h:179
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: SMatTSMatSubExpr.h:224
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
LeftOperand lhs_
Left-hand side sparse matrix of the subtraction expression.
Definition: SMatTSMatSubExpr.h:322
BLAZE_ALWAYS_INLINE size_t rows(const Matrix< MT, SO > &matrix)
Returns the current number of rows of the matrix.
Definition: Matrix.h:308
SubTrait< RT1, RT2 >::Type ResultType
Result type for expression template evaluations.
Definition: SMatTSMatSubExpr.h:164
Header file for the And class template.
MT2::ReturnType RN2
Return type of the right-hand side sparse matrix expression.
Definition: SMatTSMatSubExpr.h:113
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
Header file for the Computation base class.
Constraints on the storage order of matrix types.
Header file for the IsUniLower type trait.
CompressedMatrix< Type, false > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: CompressedMatrix.h:2584
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.
Constraint on the data type.
const ResultType CompositeType
Data type for composite expression templates.
Definition: SMatTSMatSubExpr.h:173
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: ColumnMajorMatrix.h:79
const Element * ConstIterator
Iterator over constant elements.
Definition: CompressedMatrix.h:2592
Expression object for sparse matrix-transpose sparse matrix subtractions.The SMatTSMatSubExpr class r...
Definition: Forward.h:116
MT1::CompositeType CT1
Composite type of the left-hand side sparse matrix expression.
Definition: SMatTSMatSubExpr.h:114
#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
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:112
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:176
const DenseIterator< Type, AF > operator-(const DenseIterator< Type, AF > &it, ptrdiff_t inc)
Subtraction between a DenseIterator and an integral value.
Definition: DenseIterator.h:642
MT1::ResultType RT1
Result type of the left-hand side sparse matrix expression.
Definition: SMatTSMatSubExpr.h:110
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:291
bool canAlias(const T *alias) const
Returns whether the expression can alias with the given address alias.
Definition: SMatTSMatSubExpr.h:303
MT2::CompositeType CT2
Composite type of the right-hand side sparse matrix expression.
Definition: SMatTSMatSubExpr.h:115
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:281
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:164
size_t nonZeros(size_t i) const
Returns the number of non-zero elements in the specified row.
Definition: SMatTSMatSubExpr.h:271
MT2::ResultType RT2
Result type of the right-hand side sparse matrix expression.
Definition: SMatTSMatSubExpr.h:111
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.
SMatTSMatSubExpr< MT1, MT2 > This
Type of this SMatTSMatSubExpr instance.
Definition: SMatTSMatSubExpr.h:163
size_t rows() const
Returns the current number of rows of the matrix.
Definition: SMatTSMatSubExpr.h:240
const SelectType< returnExpr, ExprReturnType, ElementType >::Type ReturnType
Return type for expression template evaluations.
Definition: SMatTSMatSubExpr.h:170
Header file for the isDefault shim.
Constraint on the data type.
Constraints on the storage order of matrix types.
ResultType::ElementType ElementType
Resulting element type.
Definition: SMatTSMatSubExpr.h:167
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:260
ResultType::OppositeType OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: SMatTSMatSubExpr.h:165
ResultType::TransposeType TransposeType
Transpose type for expression template evaluations.
Definition: SMatTSMatSubExpr.h:166
bool isAliased(const T *alias) const
Returns whether the expression is aliased with the given address alias.
Definition: SMatTSMatSubExpr.h:315
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.
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
RightOperand rhs_
Right-hand side sparse matrix of the subtraction expression.
Definition: SMatTSMatSubExpr.h:323
#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:138
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.
Header file for the SubExprTrait class template.
SMatTSMatSubExpr(const MT1 &lhs, const MT2 &rhs)
Constructor for the SMatTSMatSubExpr class.
Definition: SMatTSMatSubExpr.h:193
#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:209
#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.