35 #ifndef _BLAZE_MATH_EXPRESSIONS_TSMATTSMATSUBEXPR_H_
36 #define _BLAZE_MATH_EXPRESSIONS_TSMATTSMATSUBEXPR_H_
100 template<
typename MT1
102 class TSMatTSMatSubExpr :
public SparseMatrix< TSMatTSMatSubExpr<MT1,MT2>, true >
103 ,
private MatMatSubExpr
104 ,
private Computation
136 template<
typename T1,
typename T2,
typename T3 >
137 struct UseSymmetricKernel {
151 template<
typename MT >
152 struct UseSMPAssign {
153 enum { value = MT::smpAssignable };
181 enum { smpAssignable = 0 };
229 return lhs_.columns();
239 return lhs_.nonZeros() +
rhs_.nonZeros();
250 return lhs_.nonZeros(i) +
rhs_.nonZeros(i);
280 template<
typename T >
282 return (
lhs_.canAlias( alias ) ||
rhs_.canAlias( alias ) );
292 template<
typename T >
294 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 >
383 CT1 A(
serial( rhs.lhs_ ) );
384 CT2 B(
serial( rhs.rhs_ ) );
393 const size_t m( rhs.rows() );
394 const size_t n( rhs.columns() );
397 std::vector<size_t> nonzeros( m, 0UL );
398 for(
size_t j=0UL; j<n; ++j )
400 const LeftIterator lend( A.end(j) );
401 const RightIterator rend( B.end(j) );
403 LeftIterator l( A.begin(j) );
404 RightIterator r( B.begin(j) );
406 while( l != lend && r != rend )
408 if( l->index() < r->index() ) {
409 ++nonzeros[l->index()];
412 else if( l->index() > r->index() ) {
413 ++nonzeros[r->index()];
417 ++nonzeros[l->index()];
424 ++nonzeros[l->index()];
429 ++nonzeros[r->index()];
435 for(
size_t i=0UL; i<m; ++i ) {
436 (~lhs).reserve( i, nonzeros[i] );
440 for(
size_t j=0UL; j<n; ++j )
442 const LeftIterator lend( A.end(j) );
443 const RightIterator rend( B.end(j) );
445 LeftIterator l( A.begin(j) );
446 RightIterator r( B.begin(j) );
448 while( l != lend && r != rend )
450 if( l->index() < r->index() ) {
451 (~lhs).append( l->index(), j, l->value() );
454 else if( l->index() > r->index() ) {
455 (~lhs).append( r->index(), j, -r->value() );
459 (~lhs).append( l->index(), j, l->value()-r->value() );
466 (~lhs).append( l->index(), j, l->value() );
471 (~lhs).append( r->index(), j, -r->value() );
492 template<
typename MT >
493 friend inline typename EnableIf< UseSymmetricKernel<MT,MT1,MT2> >::Type
521 template<
typename MT >
532 CT1 A(
serial( rhs.lhs_ ) );
533 CT2 B(
serial( rhs.rhs_ ) );
543 (~lhs).reserve( A.nonZeros() + B.nonZeros() );
546 for(
size_t j=0UL; j<(~lhs).
columns(); ++j )
548 const LeftIterator lend( A.end(j) );
549 const RightIterator rend( B.end(j) );
551 LeftIterator l( A.begin(j) );
552 RightIterator r( B.begin(j) );
554 while( l != lend && r != rend )
556 if( l->index() < r->index() ) {
557 (~lhs).append( l->index(), j, l->value() );
560 else if( l->index() > r->index() ) {
561 (~lhs).append( r->index(), j, -r->value() );
565 (~lhs).append( l->index(), j, l->value()-r->value() );
572 (~lhs).append( l->index(), j, l->value() );
577 (~lhs).append( r->index(), j, -r->value() );
581 (~lhs).finalize( j );
600 template<
typename MT
632 template<
typename MT
682 template<
typename MT
684 friend inline typename EnableIf< UseSMPAssign<MT> >::Type
717 template<
typename MT
719 friend inline typename EnableIf< UseSMPAssign<MT> >::Type
793 template<
typename T1
795 inline const TSMatTSMatSubExpr<T1,T2>
801 throw std::invalid_argument(
"Matrix sizes do not match" );
818 template<
typename MT1,
typename MT2 >
819 struct Rows< TSMatTSMatSubExpr<MT1,MT2> >
820 :
public Max< Rows<MT1>, Rows<MT2> >::Type
836 template<
typename MT1,
typename MT2 >
837 struct Columns< TSMatTSMatSubExpr<MT1,MT2> >
838 :
public Max< Columns<MT1>, Columns<MT2> >::Type
854 template<
typename MT1,
typename MT2 >
855 struct IsSymmetric< TSMatTSMatSubExpr<MT1,MT2> >
856 :
public IsTrue< IsSymmetric<MT1>::value && IsSymmetric<MT2>::value >
872 template<
typename MT1,
typename MT2 >
873 struct IsLower< TSMatTSMatSubExpr<MT1,MT2> >
874 :
public IsTrue< And< IsLower<MT1>, IsLower<MT2> >::value >
890 template<
typename MT1,
typename MT2 >
891 struct IsUniLower< TSMatTSMatSubExpr<MT1,MT2> >
892 :
public IsTrue< And< IsUniLower<MT1>, IsStrictlyLower<MT2> >::value >
908 template<
typename MT1,
typename MT2 >
909 struct IsStrictlyLower< TSMatTSMatSubExpr<MT1,MT2> >
910 :
public IsTrue< And< IsStrictlyLower<MT1>, IsStrictlyLower<MT2> >::value >
926 template<
typename MT1,
typename MT2 >
927 struct IsUpper< TSMatTSMatSubExpr<MT1,MT2> >
928 :
public IsTrue< And< IsUpper<MT1>, IsUpper<MT2> >::value >
944 template<
typename MT1,
typename MT2 >
945 struct IsUniUpper< TSMatTSMatSubExpr<MT1,MT2> >
946 :
public IsTrue< And< IsUniUpper<MT1>, IsStrictlyUpper<MT2> >::value >
962 template<
typename MT1,
typename MT2 >
963 struct IsStrictlyUpper< TSMatTSMatSubExpr<MT1,MT2> >
964 :
public IsTrue< And< IsStrictlyUpper<MT1>, IsStrictlyUpper<MT2> >::value >
980 template<
typename MT1,
typename MT2,
bool AF >
981 struct SubmatrixExprTrait< TSMatTSMatSubExpr<MT1,MT2>, AF >
985 typedef typename SubExprTrait< typename SubmatrixExprTrait<const MT1,AF>::Type
986 ,
typename SubmatrixExprTrait<const MT2,AF>::Type >::Type Type;
995 template<
typename MT1,
typename MT2 >
996 struct RowExprTrait< TSMatTSMatSubExpr<MT1,MT2> >
1000 typedef typename SubExprTrait< typename RowExprTrait<const MT1>::Type
1001 ,
typename RowExprTrait<const MT2>::Type >::Type Type;
1010 template<
typename MT1,
typename MT2 >
1011 struct ColumnExprTrait< TSMatTSMatSubExpr<MT1,MT2> >
1015 typedef typename SubExprTrait< typename ColumnExprTrait<const MT1>::Type
1016 ,
typename ColumnExprTrait<const MT2>::Type >::Type Type;
Constraint on the data type.
MT2::ResultType RT2
Result type of the right-hand side sparse matrix expression.
Definition: TSMatTSMatSubExpr.h:109
SelectType< IsExpression< MT2 >::value, const MT2, const MT2 & >::Type RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: TSMatTSMatSubExpr.h:176
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 IsUniUpper type trait.
Header file for the subtraction trait.
Header file for basic type definitions.
MT1::CompositeType CT1
Composite type of the left-hand side sparse matrix expression.
Definition: TSMatTSMatSubExpr.h:112
TSMatTSMatSubExpr< MT1, MT2 > This
Type of this TSMatTSMatSubExpr instance.
Definition: TSMatTSMatSubExpr.h:160
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
const SelectType< returnExpr, ExprReturnType, ElementType >::Type ReturnType
Return type for expression template evaluations.
Definition: TSMatTSMatSubExpr.h:167
Efficient implementation of a compressed matrix.The CompressedMatrix class template is the represent...
Definition: CompressedMatrix.h:209
const ResultType CompositeType
Data type for composite expression templates.
Definition: TSMatTSMatSubExpr.h:170
MT1::ReturnType RN1
Return type of the left-hand side sparse matrix expression.
Definition: TSMatTSMatSubExpr.h:110
Header file for the ColumnExprTrait class template.
RightOperand rightOperand() const
Returns the right-hand side transpose sparse matrix operand.
Definition: TSMatTSMatSubExpr.h:269
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
BLAZE_ALWAYS_INLINE size_t rows(const Matrix< MT, SO > &matrix)
Returns the current number of rows of the matrix.
Definition: Matrix.h:316
Header file for the And class template.
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.
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
LeftOperand lhs_
Left-hand side sparse matrix of the subtraction expression.
Definition: TSMatTSMatSubExpr.h:300
MT2::CompositeType CT2
Composite type of the right-hand side sparse matrix expression.
Definition: TSMatTSMatSubExpr.h:113
Header file for the SparseMatrix base class.
Constraint on the data type.
size_t nonZeros() const
Returns the number of non-zero elements in the sparse matrix.
Definition: TSMatTSMatSubExpr.h:238
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.
ResultType::ElementType ElementType
Resulting element type.
Definition: TSMatTSMatSubExpr.h:164
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
size_t rows() const
Returns the current number of rows of the matrix.
Definition: TSMatTSMatSubExpr.h:218
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.
ResultType::OppositeType OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: TSMatTSMatSubExpr.h:162
Header file for the MatMatSubExpr base class.
Header file for the IsLower type trait.
SubExprTrait< RN1, RN2 >::Type ExprReturnType
Expression return type for the subscript operator.
Definition: TSMatTSMatSubExpr.h:126
Constraints on the storage order of matrix types.
size_t columns() const
Returns the current number of columns of the matrix.
Definition: TSMatTSMatSubExpr.h:228
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 rhs_
Right-hand side sparse matrix of the subtraction expression.
Definition: TSMatTSMatSubExpr.h:301
Header file for the SelectType class template.
Header file for the RowExprTrait class template.
Header file for all forward declarations for expression class templates.
bool isAliased(const T *alias) const
Returns whether the expression is aliased with the given address alias.
Definition: TSMatTSMatSubExpr.h:293
Header file for the EnableIf class template.
Header file for the IsStrictlyLower type trait.
SelectType< IsExpression< MT1 >::value, const MT1, const MT1 & >::Type LeftOperand
Composite type of the left-hand side sparse matrix expression.
Definition: TSMatTSMatSubExpr.h:173
Header file for the serial shim.
MT2::ReturnType RN2
Return type of the right-hand side sparse matrix expression.
Definition: TSMatTSMatSubExpr.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
size_t nonZeros(size_t i) const
Returns the number of non-zero elements in the specified row.
Definition: TSMatTSMatSubExpr.h:249
LeftOperand leftOperand() const
Returns the left-hand side transpose sparse matrix operand.
Definition: TSMatTSMatSubExpr.h:259
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.
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
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
TSMatTSMatSubExpr(const MT1 &lhs, const MT2 &rhs)
Constructor for the TSMatTSMatSubExpr class.
Definition: TSMatTSMatSubExpr.h:190
Header file for the isDefault shim.
Constraint on the data type.
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
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: TSMatTSMatSubExpr.h:206
SubTrait< RT1, RT2 >::Type ResultType
Result type for expression template evaluations.
Definition: TSMatTSMatSubExpr.h:161
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
bool canAlias(const T *alias) const
Returns whether the expression can alias with the given address alias.
Definition: TSMatTSMatSubExpr.h:281
#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.
MT1::ResultType RT1
Result type of the left-hand side sparse matrix expression.
Definition: TSMatTSMatSubExpr.h:108
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
ResultType::TransposeType TransposeType
Transpose type for expression template evaluations.
Definition: TSMatTSMatSubExpr.h:163
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