35 #ifndef _BLAZE_MATH_EXPRESSIONS_TSMATTSMATSUBEXPR_H_
36 #define _BLAZE_MATH_EXPRESSIONS_TSMATTSMATSUBEXPR_H_
95 template<
typename MT1
97 class TSMatTSMatSubExpr :
public SparseMatrix< TSMatTSMatSubExpr<MT1,MT2>, true >
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 ) );
312 template<
typename MT
337 for(
size_t j=0UL; j<(~lhs).
columns(); ++j ) {
338 const RightIterator
end( B.end(j) );
339 for( RightIterator element=B.begin(j); element!=
end; ++element ) {
340 if(
isDefault( (~lhs)(element->index(),j) ) )
341 (~lhs)(element->index(),j) = -element->value();
343 (~lhs)(element->index(),j) -= element->value();
364 template<
typename MT >
388 const size_t m( rhs.rows() );
389 const size_t n( rhs.columns() );
392 std::vector<size_t> nonzeros( m, 0UL );
393 for(
size_t j=0UL; j<n; ++j )
395 const LeftIterator lend( A.end(j) );
396 const RightIterator rend( B.end(j) );
398 LeftIterator l( A.begin(j) );
399 RightIterator r( B.begin(j) );
401 while( l != lend && r != rend )
403 if( l->index() < r->index() ) {
404 ++nonzeros[l->index()];
407 else if( l->index() > r->index() ) {
408 ++nonzeros[r->index()];
412 ++nonzeros[l->index()];
419 ++nonzeros[l->index()];
424 ++nonzeros[r->index()];
430 for(
size_t i=0UL; i<m; ++i ) {
431 (~lhs).reserve( i, nonzeros[i] );
435 for(
size_t j=0UL; j<n; ++j )
437 const LeftIterator lend( A.end(j) );
438 const RightIterator rend( B.end(j) );
440 LeftIterator l( A.begin(j) );
441 RightIterator r( B.begin(j) );
443 while( l != lend && r != rend )
445 if( l->index() < r->index() ) {
446 (~lhs).append( l->index(), j, l->value() );
449 else if( l->index() > r->index() ) {
450 (~lhs).append( r->index(), j, -r->value() );
454 (~lhs).append( l->index(), j, l->value()-r->value() );
461 (~lhs).append( l->index(), j, l->value() );
466 (~lhs).append( r->index(), j, -r->value() );
487 template<
typename MT >
488 friend inline typename EnableIf< UseSymmetricKernel<MT,MT1,MT2> >::Type
516 template<
typename MT >
538 (~lhs).reserve( A.nonZeros() + B.nonZeros() );
541 for(
size_t j=0UL; j<(~lhs).
columns(); ++j )
543 const LeftIterator lend( A.end(j) );
544 const RightIterator rend( B.end(j) );
546 LeftIterator l( A.begin(j) );
547 RightIterator r( B.begin(j) );
549 while( l != lend && r != rend )
551 if( l->index() < r->index() ) {
552 (~lhs).append( l->index(), j, l->value() );
555 else if( l->index() > r->index() ) {
556 (~lhs).append( r->index(), j, -r->value() );
560 (~lhs).append( l->index(), j, l->value()-r->value() );
567 (~lhs).append( l->index(), j, l->value() );
572 (~lhs).append( r->index(), j, -r->value() );
576 (~lhs).finalize( j );
595 template<
typename MT
627 template<
typename MT
677 template<
typename MT
679 friend inline typename EnableIf< UseSMPAssign<MT> >::Type
712 template<
typename MT
714 friend inline typename EnableIf< UseSMPAssign<MT> >::Type
788 template<
typename T1
790 inline const TSMatTSMatSubExpr<T1,T2>
796 throw std::invalid_argument(
"Matrix sizes do not match" );
813 template<
typename MT1,
typename MT2 >
814 struct Rows< TSMatTSMatSubExpr<MT1,MT2> >
815 :
public Max< Rows<MT1>, Rows<MT2> >::Type
831 template<
typename MT1,
typename MT2 >
832 struct Columns< TSMatTSMatSubExpr<MT1,MT2> >
833 :
public Max< Columns<MT1>, Columns<MT2> >::Type
849 template<
typename MT1,
typename MT2 >
850 struct IsSymmetric< TSMatTSMatSubExpr<MT1,MT2> >
851 :
public IsTrue< IsSymmetric<MT1>::value && IsSymmetric<MT2>::value >
867 template<
typename MT1,
typename MT2 >
868 struct IsLower< TSMatTSMatSubExpr<MT1,MT2> >
869 :
public IsTrue< IsLower<MT1>::value && IsLower<MT2>::value >
885 template<
typename MT1,
typename MT2 >
886 struct IsUpper< TSMatTSMatSubExpr<MT1,MT2> >
887 :
public IsTrue< IsUpper<MT1>::value && IsUpper<MT2>::value >
903 template<
typename MT1,
typename MT2,
bool AF >
904 struct SubmatrixExprTrait< TSMatTSMatSubExpr<MT1,MT2>, AF >
908 typedef typename SubExprTrait< typename SubmatrixExprTrait<const MT1,AF>::Type
909 ,
typename SubmatrixExprTrait<const MT2,AF>::Type >::Type Type;
918 template<
typename MT1,
typename MT2 >
919 struct RowExprTrait< TSMatTSMatSubExpr<MT1,MT2> >
923 typedef typename SubExprTrait< typename RowExprTrait<const MT1>::Type
924 ,
typename RowExprTrait<const MT2>::Type >::Type Type;
933 template<
typename MT1,
typename MT2 >
934 struct ColumnExprTrait< TSMatTSMatSubExpr<MT1,MT2> >
938 typedef typename SubExprTrait< typename ColumnExprTrait<const MT1>::Type
939 ,
typename ColumnExprTrait<const MT2>::Type >::Type Type;
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
bool isAliased(const T *alias) const
Returns whether the expression is aliased with the given address alias.
Definition: TSMatTSMatSubExpr.h:288
Header file for the Rows type trait.
Header file for the subtraction trait.
LeftOperand leftOperand() const
Returns the left-hand side transpose sparse matrix operand.
Definition: TSMatTSMatSubExpr.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
ResultType::OppositeType OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: TSMatTSMatSubExpr.h:157
Efficient implementation of a compressed matrix.The CompressedMatrix class template is the represent...
Definition: CompressedMatrix.h:205
Header file for the ColumnExprTrait class template.
size_t nonZeros() const
Returns the number of non-zero elements in the sparse matrix.
Definition: TSMatTSMatSubExpr.h:233
MT1::CompositeType CT1
Composite type of the left-hand side sparse matrix expression.
Definition: TSMatTSMatSubExpr.h:107
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
MT1::ReturnType RN1
Return type of the left-hand side sparse matrix expression.
Definition: TSMatTSMatSubExpr.h:105
SubTrait< RT1, RT2 >::Type ResultType
Result type for expression template evaluations.
Definition: TSMatTSMatSubExpr.h:156
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
Header file for the Computation base class.
TSMatTSMatSubExpr(const MT1 &lhs, const MT2 &rhs)
Constructor for the TSMatTSMatSubExpr class.
Definition: TSMatTSMatSubExpr.h:185
Header file for the RequiresEvaluation 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
ResultType::ElementType ElementType
Resulting element type.
Definition: TSMatTSMatSubExpr.h:159
Header file for the SparseMatrix base class.
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.
RightOperand rhs_
Right-hand side sparse matrix of the subtraction expression.
Definition: TSMatTSMatSubExpr.h:296
TSMatTSMatSubExpr< MT1, MT2 > This
Type of this TSMatTSMatSubExpr instance.
Definition: TSMatTSMatSubExpr.h:155
Header file for the IsSymmetric type trait.
RightOperand rightOperand() const
Returns the right-hand side transpose sparse matrix operand.
Definition: TSMatTSMatSubExpr.h:264
#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 SelectType< returnExpr, ExprReturnType, ElementType >::Type ReturnType
Return type for expression template evaluations.
Definition: TSMatTSMatSubExpr.h:162
MT2::ResultType RT2
Result type of the right-hand side sparse matrix expression.
Definition: TSMatTSMatSubExpr.h:104
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.
size_t columns() const
Returns the current number of columns of the matrix.
Definition: TSMatTSMatSubExpr.h:223
size_t nonZeros(size_t i) const
Returns the number of non-zero elements in the specified row.
Definition: TSMatTSMatSubExpr.h:244
Header file for the IsLower type trait.
ResultType::TransposeType TransposeType
Transpose type for expression template evaluations.
Definition: TSMatTSMatSubExpr.h:158
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 canAlias(const T *alias) const
Returns whether the expression can alias with the given address alias.
Definition: TSMatTSMatSubExpr.h:276
Header file for the serial shim.
MT2::CompositeType CT2
Composite type of the right-hand side sparse matrix expression.
Definition: TSMatTSMatSubExpr.h:108
Compile time check for resizable data types.This type trait tests whether the given data type is a re...
Definition: IsResizable.h:75
const ResultType CompositeType
Data type for composite expression templates.
Definition: TSMatTSMatSubExpr.h:165
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
MT1::ResultType RT1
Result type of the left-hand side sparse matrix expression.
Definition: TSMatTSMatSubExpr.h:103
Header file for run time assertion macros.
SelectType< IsExpression< MT1 >::value, const MT1, const MT1 & >::Type LeftOperand
Composite type of the left-hand side sparse matrix expression.
Definition: TSMatTSMatSubExpr.h:168
Expression object for transpose sparse matrix-transpose sparse matrix subtractions.The TSMatTSMatSubExpr class represents the compile time expression for subtractions between two column-major sparse matrices.
Definition: Forward.h:146
SubExprTrait< RN1, RN2 >::Type ExprReturnType
Expression return type for the subscript operator.
Definition: TSMatTSMatSubExpr.h:121
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
size_t rows() const
Returns the current number of rows of the matrix.
Definition: TSMatTSMatSubExpr.h:213
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.
SelectType< IsExpression< MT2 >::value, const MT2, const MT2 & >::Type RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: TSMatTSMatSubExpr.h:171
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
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.
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: TSMatTSMatSubExpr.h:201
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
Header file for basic type definitions.
MT2::ReturnType RN2
Return type of the right-hand side sparse matrix expression.
Definition: TSMatTSMatSubExpr.h:106
#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.
LeftOperand lhs_
Left-hand side sparse matrix of the subtraction expression.
Definition: TSMatTSMatSubExpr.h:295
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
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