35 #ifndef _BLAZE_MATH_EXPRESSIONS_TSMATSMATSUBEXPR_H_
36 #define _BLAZE_MATH_EXPRESSIONS_TSMATSMATSUBEXPR_H_
95 template<
typename MT1
97 class TSMatSMatSubExpr :
public SparseMatrix< TSMatSMatSubExpr<MT1,MT2>, false >
98 ,
private MatMatSubExpr
132 template<
typename T1,
typename T2 >
133 struct UseSymmetricKernel {
147 template<
typename MT >
148 struct UseSMPAssign {
149 enum { value = MT::smpAssignable };
177 enum { smpAssignable = 0 };
225 return lhs_.columns();
235 return lhs_.nonZeros() +
rhs_.nonZeros();
246 return lhs_.nonZeros(i) +
rhs_.nonZeros(i);
276 template<
typename T >
278 return (
lhs_.canAlias( alias ) ||
rhs_.canAlias( alias ) );
288 template<
typename T >
290 return (
lhs_.isAliased( alias ) ||
rhs_.isAliased( alias ) );
312 template<
typename MT
337 for(
size_t i=0UL; i<(~lhs).
rows(); ++i ) {
338 const RightIterator
end( B.end(i) );
339 for( RightIterator element=B.begin(i); element!=
end; ++element ) {
340 if(
isDefault( (~lhs)(i,element->index()) ) )
341 (~lhs)(i,element->index()) = -element->value();
343 (~lhs)(i,element->index()) -= element->value();
364 template<
typename MT >
390 (~lhs).reserve( A.nonZeros() + B.nonZeros() );
393 for(
size_t i=0UL; i<(~lhs).
rows(); ++i )
395 const LeftIterator lend( A.end(i) );
396 const RightIterator rend( B.end(i) );
398 LeftIterator l( A.begin(i) );
399 RightIterator r( B.begin(i) );
401 while( l != lend && r != rend )
403 if( l->index() < r->index() ) {
404 (~lhs).append( i, l->index(), l->value() );
407 else if( l->index() > r->index() ) {
408 (~lhs).append( i, r->index(), -r->value() );
412 (~lhs).append( i, l->index(), l->value()-r->value() );
419 (~lhs).append( i, l->index(), l->value() );
424 (~lhs).append( i, r->index(), -r->value() );
428 (~lhs).finalize( i );
447 template<
typename MT >
448 friend inline typename EnableIf< UseSymmetricKernel<MT,MT1> >::Type
474 template<
typename MT >
475 friend inline typename DisableIf< UseSymmetricKernel<MT,MT2> >::Type
502 (~lhs).reserve( A.nonZeros() + B.nonZeros() );
505 for(
size_t j=0UL; j<(~lhs).
columns(); ++j )
507 const LeftIterator lend( A.end(j) );
508 const RightIterator rend( B.end(j) );
510 LeftIterator l( A.begin(j) );
511 RightIterator r( B.begin(j) );
513 while( l != lend && r != rend )
515 if( l->index() < r->index() ) {
516 (~lhs).append( l->index(), j, l->value() );
519 else if( l->index() > r->index() ) {
520 (~lhs).append( r->index(), j, -r->value() );
524 (~lhs).append( l->index(), j, l->value()-r->value() );
531 (~lhs).append( l->index(), j, l->value() );
536 (~lhs).append( r->index(), j, -r->value() );
540 (~lhs).finalize( j );
559 template<
typename MT >
560 friend inline typename EnableIf< UseSymmetricKernel<MT,MT2> >::Type
588 template<
typename MT
620 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
783 template<
typename T1
785 inline const TSMatSMatSubExpr<T1,T2>
791 throw std::invalid_argument(
"Matrix sizes do not match" );
808 template<
typename MT1,
typename MT2 >
809 struct Rows< TSMatSMatSubExpr<MT1,MT2> >
810 :
public Max< Rows<MT1>, Rows<MT2> >::Type
826 template<
typename MT1,
typename MT2 >
827 struct Columns< TSMatSMatSubExpr<MT1,MT2> >
828 :
public Max< Columns<MT1>, Columns<MT2> >::Type
844 template<
typename MT1,
typename MT2 >
845 struct IsSymmetric< TSMatSMatSubExpr<MT1,MT2> >
846 :
public IsTrue< IsSymmetric<MT1>::value && IsSymmetric<MT2>::value >
862 template<
typename MT1,
typename MT2 >
863 struct IsLower< TSMatSMatSubExpr<MT1,MT2> >
864 :
public IsTrue< IsLower<MT1>::value && IsLower<MT2>::value >
880 template<
typename MT1,
typename MT2 >
881 struct IsUpper< TSMatSMatSubExpr<MT1,MT2> >
882 :
public IsTrue< IsUpper<MT1>::value && IsUpper<MT2>::value >
898 template<
typename MT1,
typename MT2,
bool AF >
899 struct SubmatrixExprTrait< TSMatSMatSubExpr<MT1,MT2>, AF >
903 typedef typename SubExprTrait< typename SubmatrixExprTrait<const MT1,AF>::Type
904 ,
typename SubmatrixExprTrait<const MT2,AF>::Type >::Type Type;
913 template<
typename MT1,
typename MT2 >
914 struct RowExprTrait< TSMatSMatSubExpr<MT1,MT2> >
918 typedef typename SubExprTrait< typename RowExprTrait<const MT1>::Type
919 ,
typename RowExprTrait<const MT2>::Type >::Type Type;
928 template<
typename MT1,
typename MT2 >
929 struct ColumnExprTrait< TSMatSMatSubExpr<MT1,MT2> >
933 typedef typename SubExprTrait< typename ColumnExprTrait<const MT1>::Type
934 ,
typename ColumnExprTrait<const MT2>::Type >::Type Type;
SubTrait< RT1, RT2 >::Type ResultType
Result type for expression template evaluations.
Definition: TSMatSMatSubExpr.h:157
Constraint on the data type.
size_t rows() const
Returns the current number of rows of the matrix.
Definition: TSMatSMatSubExpr.h:214
bool canAlias(const T *alias) const
Returns whether the expression can alias with the given address alias.
Definition: TSMatSMatSubExpr.h:277
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 subtraction trait.
const ResultType CompositeType
Data type for composite expression templates.
Definition: TSMatSMatSubExpr.h:166
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:205
ResultType::ElementType ElementType
Resulting element type.
Definition: TSMatSMatSubExpr.h:160
Header file for the ColumnExprTrait class template.
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
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.
Header file for the RequiresEvaluation type trait.
MT2::ResultType RT2
Result type of the right-hand side sparse matrix expression.
Definition: TSMatSMatSubExpr.h:104
CompressedMatrix< Type, false > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: CompressedMatrix.h:2474
MT1::ReturnType RN1
Return type of the left-hand side sparse matrix expression.
Definition: TSMatSMatSubExpr.h:105
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
Header file for the SparseMatrix base class.
Constraint on the data type.
SubExprTrait< RN1, RN2 >::Type ExprReturnType
Expression return type for the subscript operator.
Definition: TSMatSMatSubExpr.h:121
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.
size_t nonZeros(size_t i) const
Returns the number of non-zero elements in the specified row.
Definition: TSMatSMatSubExpr.h:245
Header file for the IsSymmetric type trait.
size_t nonZeros() const
Returns the number of non-zero elements in the sparse matrix.
Definition: TSMatSMatSubExpr.h:234
const SelectType< returnExpr, ExprReturnType, ElementType >::Type ReturnType
Return type for expression template evaluations.
Definition: TSMatSMatSubExpr.h:163
#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
MT1::CompositeType CT1
Composite type of the left-hand side sparse matrix expression.
Definition: TSMatSMatSubExpr.h:107
const Element * ConstIterator
Iterator over constant elements.
Definition: CompressedMatrix.h:2482
MT2::CompositeType CT2
Composite type of the right-hand side sparse matrix expression.
Definition: TSMatSMatSubExpr.h:108
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.
LeftOperand leftOperand() const
Returns the left-hand side transpose sparse matrix operand.
Definition: TSMatSMatSubExpr.h:255
Header file for the IsLower type trait.
SelectType< IsExpression< MT2 >::value, const MT2, const MT2 & >::Type RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: TSMatSMatSubExpr.h:172
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: TSMatSMatSubExpr.h:296
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 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
MT2::ReturnType RN2
Return type of the right-hand side sparse matrix expression.
Definition: TSMatSMatSubExpr.h:106
Compile time check for resizable data types.This type trait tests whether the given data type is a re...
Definition: IsResizable.h:75
SelectType< IsExpression< MT1 >::value, const MT1, const MT1 & >::Type LeftOperand
Composite type of the left-hand side sparse matrix expression.
Definition: TSMatSMatSubExpr.h:169
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 rightOperand() const
Returns the right-hand side sparse matrix operand.
Definition: TSMatSMatSubExpr.h:265
Header file for run time assertion macros.
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
ResultType::OppositeType OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: TSMatSMatSubExpr.h:158
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.
TSMatSMatSubExpr< MT1, MT2 > This
Type of this TSMatSMatSubExpr instance.
Definition: TSMatSMatSubExpr.h:156
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.
TSMatSMatSubExpr(const MT1 &lhs, const MT2 &rhs)
Constructor for the TSMatSMatSubExpr class.
Definition: TSMatSMatSubExpr.h:186
bool isAliased(const T *alias) const
Returns whether the expression is aliased with the given address alias.
Definition: TSMatSMatSubExpr.h:289
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
RightOperand rhs_
Right-hand side sparse matrix of the subtraction expression.
Definition: TSMatSMatSubExpr.h:297
size_t columns() const
Returns the current number of columns of the matrix.
Definition: TSMatSMatSubExpr.h:224
MT1::ResultType RT1
Result type of the left-hand side sparse matrix expression.
Definition: TSMatSMatSubExpr.h:103
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.
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.
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: TSMatSMatSubExpr.h:202
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.
#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.
Expression object for transpose sparse matrix-sparse matrix subtractions.The TSMatSMatSubExpr class r...
Definition: Forward.h:141
ResultType::TransposeType TransposeType
Transpose type for expression template evaluations.
Definition: TSMatSMatSubExpr.h:159
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