35 #ifndef _BLAZE_MATH_EXPRESSIONS_SMATSMATSUBEXPR_H_
36 #define _BLAZE_MATH_EXPRESSIONS_SMATSMATSUBEXPR_H_
101 template<
typename MT1
103 class SMatSMatSubExpr :
public SparseMatrix< SMatSMatSubExpr<MT1,MT2>, false >
104 ,
private MatMatSubExpr
105 ,
private Computation
137 template<
typename T1,
typename T2,
typename T3 >
138 struct UseSymmetricKernel {
152 template<
typename MT >
153 struct UseSMPAssign {
154 enum { value = MT::smpAssignable };
182 enum { smpAssignable = 0 };
222 inline ReturnType
at(
size_t i,
size_t j )
const {
223 if( i >=
lhs_.rows() ) {
226 if( j >=
lhs_.columns() ) {
249 return lhs_.columns();
259 return lhs_.nonZeros() +
rhs_.nonZeros();
270 return lhs_.nonZeros(i) +
rhs_.nonZeros(i);
300 template<
typename T >
302 return (
lhs_.canAlias( alias ) ||
rhs_.canAlias( alias ) );
312 template<
typename T >
314 return (
lhs_.isAliased( alias ) ||
rhs_.isAliased( alias ) );
336 template<
typename MT
347 assign( ~lhs, rhs.lhs_ );
350 subAssign( ~lhs, rhs.rhs_ );
354 CT2 B(
serial( rhs.rhs_ ) );
361 for(
size_t i=0UL; i<(~lhs).
rows(); ++i ) {
362 const RightIterator
end( B.end(i) );
363 for( RightIterator element=B.begin(i); element!=
end; ++element ) {
364 if(
isDefault( (~lhs)(i,element->index()) ) )
365 (~lhs)(i,element->index()) = -element->value();
367 (~lhs)(i,element->index()) -= element->value();
387 template<
typename MT >
398 CT1 A(
serial( rhs.lhs_ ) );
399 CT2 B(
serial( rhs.rhs_ ) );
409 (~lhs).reserve( A.nonZeros() + B.nonZeros() );
412 for(
size_t i=0UL; i<(~lhs).
rows(); ++i )
414 const LeftIterator lend( A.end(i) );
415 const RightIterator rend( B.end(i) );
417 LeftIterator l( A.begin(i) );
418 RightIterator r( B.begin(i) );
420 while( l != lend && r != rend )
422 if( l->index() < r->index() ) {
423 (~lhs).append( i, l->index(), l->value() );
426 else if( l->index() > r->index() ) {
427 (~lhs).append( i, r->index(), -r->value() );
431 (~lhs).append( i, l->index(), l->value()-r->value() );
438 (~lhs).append( i, l->index(), l->value() );
443 (~lhs).append( i, r->index(), -r->value() );
447 (~lhs).finalize( i );
465 template<
typename MT >
466 friend inline typename DisableIf< UseSymmetricKernel<MT,MT1,MT2> >::Type
479 CT1 A(
serial( rhs.lhs_ ) );
480 CT2 B(
serial( rhs.rhs_ ) );
489 const size_t m( rhs.rows() );
490 const size_t n( rhs.columns() );
493 std::vector<size_t> nonzeros( n, 0UL );
494 for(
size_t i=0UL; i<m; ++i )
496 const LeftIterator lend( A.end(i) );
497 const RightIterator rend( B.end(i) );
499 LeftIterator l( A.begin(i) );
500 RightIterator r( B.begin(i) );
502 while( l != lend && r != rend )
504 if( l->index() < r->index() ) {
505 ++nonzeros[l->index()];
508 else if( l->index() > r->index() ) {
509 ++nonzeros[r->index()];
513 ++nonzeros[l->index()];
520 ++nonzeros[l->index()];
525 ++nonzeros[r->index()];
531 for(
size_t j=0UL; j<n; ++j ) {
532 (~lhs).reserve( j, nonzeros[j] );
536 for(
size_t i=0UL; i<m; ++i )
538 const LeftIterator lend( A.end(i) );
539 const RightIterator rend( B.end(i) );
541 LeftIterator l( A.begin(i) );
542 RightIterator r( B.begin(i) );
544 while( l != lend && r != rend )
546 if( l->index() < r->index() ) {
547 (~lhs).append( i, l->index(), l->value() );
550 else if( l->index() > r->index() ) {
551 (~lhs).append( i, r->index(), -r->value() );
555 (~lhs).append( i, l->index(), l->value()-r->value() );
562 (~lhs).append( i, l->index(), l->value() );
567 (~lhs).append( i, r->index(), -r->value() );
587 template<
typename MT >
588 friend inline typename EnableIf< UseSymmetricKernel<MT,MT1,MT2> >::Type
598 assign( ~lhs,
trans( rhs.lhs_ ) -
trans( rhs.rhs_ ) );
615 template<
typename MT
617 friend inline void addAssign( DenseMatrix<MT,SO>& lhs,
const SMatSMatSubExpr& rhs )
624 addAssign( ~lhs, rhs.lhs_ );
625 subAssign( ~lhs, rhs.rhs_ );
646 template<
typename MT
648 friend inline void subAssign( DenseMatrix<MT,SO>& lhs,
const SMatSMatSubExpr& rhs )
655 subAssign( ~lhs, rhs.lhs_ );
656 addAssign( ~lhs, rhs.rhs_ );
695 template<
typename MT
697 friend inline typename EnableIf< UseSMPAssign<MT> >::Type
730 template<
typename MT
732 friend inline typename EnableIf< UseSMPAssign<MT> >::Type
805 template<
typename T1
807 inline const SMatSMatSubExpr<T1,T2>
831 template<
typename MT1,
typename MT2 >
832 struct Rows< SMatSMatSubExpr<MT1,MT2> >
833 :
public Max< Rows<MT1>, Rows<MT2> >
849 template<
typename MT1,
typename MT2 >
850 struct Columns< SMatSMatSubExpr<MT1,MT2> >
851 :
public Max< Columns<MT1>, Columns<MT2> >
867 template<
typename MT1,
typename MT2 >
868 struct IsSymmetric< SMatSMatSubExpr<MT1,MT2> >
869 :
public IsTrue< IsSymmetric<MT1>::value && IsSymmetric<MT2>::value >
885 template<
typename MT1,
typename MT2 >
886 struct IsHermitian< SMatSMatSubExpr<MT1,MT2> >
887 :
public IsTrue< IsHermitian<MT1>::value && IsHermitian<MT2>::value >
903 template<
typename MT1,
typename MT2 >
904 struct IsLower< SMatSMatSubExpr<MT1,MT2> >
905 :
public IsTrue< And< IsLower<MT1>, IsLower<MT2> >::value >
921 template<
typename MT1,
typename MT2 >
922 struct IsUniLower< SMatSMatSubExpr<MT1,MT2> >
923 :
public IsTrue< And< IsUniLower<MT1>, IsStrictlyLower<MT2> >::value >
939 template<
typename MT1,
typename MT2 >
940 struct IsStrictlyLower< SMatSMatSubExpr<MT1,MT2> >
941 :
public IsTrue< And< IsStrictlyLower<MT1>, IsStrictlyLower<MT2> >::value >
957 template<
typename MT1,
typename MT2 >
958 struct IsUpper< SMatSMatSubExpr<MT1,MT2> >
959 :
public IsTrue< And< IsUpper<MT1>, IsUpper<MT2> >::value >
975 template<
typename MT1,
typename MT2 >
976 struct IsUniUpper< SMatSMatSubExpr<MT1,MT2> >
977 :
public IsTrue< And< IsUniUpper<MT1>, IsStrictlyUpper<MT2> >::value >
993 template<
typename MT1,
typename MT2 >
994 struct IsStrictlyUpper< SMatSMatSubExpr<MT1,MT2> >
995 :
public IsTrue< And< IsStrictlyUpper<MT1>, IsStrictlyUpper<MT2> >::value >
1011 template<
typename MT1,
typename MT2,
bool AF >
1012 struct SubmatrixExprTrait< SMatSMatSubExpr<MT1,MT2>, AF >
1016 typedef typename SubExprTrait< typename SubmatrixExprTrait<const MT1,AF>::Type
1017 ,
typename SubmatrixExprTrait<const MT2,AF>::Type >::Type Type;
1026 template<
typename MT1,
typename MT2 >
1027 struct RowExprTrait< SMatSMatSubExpr<MT1,MT2> >
1031 typedef typename SubExprTrait< typename RowExprTrait<const MT1>::Type
1032 ,
typename RowExprTrait<const MT2>::Type >::Type Type;
1041 template<
typename MT1,
typename MT2 >
1042 struct ColumnExprTrait< SMatSMatSubExpr<MT1,MT2> >
1046 typedef typename SubExprTrait< typename ColumnExprTrait<const MT1>::Type
1047 ,
typename ColumnExprTrait<const MT2>::Type >::Type Type;
RightOperand rightOperand() const
Returns the right-hand side sparse matrix operand.
Definition: SMatSMatSubExpr.h:289
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.
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.
SubExprTrait< RN1, RN2 >::Type ExprReturnType
Expression return type for the subscript operator.
Definition: SMatSMatSubExpr.h:127
Header file for the subtraction trait.
MT2::CompositeType CT2
Composite type of the right-hand side sparse matrix expression.
Definition: SMatSMatSubExpr.h:114
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: SMatSMatSubExpr.h:207
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
const ResultType CompositeType
Data type for composite expression templates.
Definition: SMatSMatSubExpr.h:171
SMatSMatSubExpr(const MT1 &lhs, const MT2 &rhs)
Constructor for the SMatSMatSubExpr class.
Definition: SMatSMatSubExpr.h:191
Efficient implementation of a compressed matrix.The CompressedMatrix class template is the represent...
Definition: CompressedMatrix.h:207
MT2::ReturnType RN2
ReturnType type of the right-hand side sparse matrix expression.
Definition: SMatSMatSubExpr.h:112
bool isAliased(const T *alias) const
Returns whether the expression is aliased with the given address alias.
Definition: SMatSMatSubExpr.h:313
Header file for the ColumnExprTrait class template.
SMatSMatSubExpr< MT1, MT2 > This
Type of this SMatSMatSubExpr instance.
Definition: SMatSMatSubExpr.h:161
size_t rows() const
Returns the current number of rows of the matrix.
Definition: SMatSMatSubExpr.h:238
const This & CompositeType
Data type for composite expression templates.
Definition: CompressedMatrix.h:2588
ResultType::TransposeType TransposeType
Transpose type for expression template evaluations.
Definition: SMatSMatSubExpr.h:164
Type ElementType
Type of the sparse matrix elements.
Definition: CompressedMatrix.h:259
BLAZE_ALWAYS_INLINE size_t rows(const Matrix< MT, SO > &matrix)
Returns the current number of rows of the matrix.
Definition: Matrix.h:308
Header file for the And class template.
const SelectType< returnExpr, ExprReturnType, ElementType >::Type ReturnType
Return type for expression template evaluations.
Definition: SMatSMatSubExpr.h:168
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.
MT1::CompositeType CT1
Composite type of the left-hand side sparse matrix expression.
Definition: SMatSMatSubExpr.h:113
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: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.
ResultType::ElementType ElementType
Resulting element type.
Definition: SMatSMatSubExpr.h:165
bool canAlias(const T *alias) const
Returns whether the expression can alias with the given address alias.
Definition: SMatSMatSubExpr.h:301
SubTrait< RT1, RT2 >::Type ResultType
Result type for expression template evaluations.
Definition: SMatSMatSubExpr.h:162
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
MT2::ResultType RT2
Result type of the right-hand side sparse matrix expression.
Definition: SMatSMatSubExpr.h:110
#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.
Header file for the IsLower type trait.
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
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: SMatSMatSubExpr.h:222
MT1::ResultType RT1
Result type of the left-hand side sparse matrix expression.
Definition: SMatSMatSubExpr.h:109
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: SMatSMatSubExpr.h:320
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.
Header file for the serial shim.
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.
Expression object for sparse matrix-sparse matrix subtractions.The SMatSMatSubExpr class represents t...
Definition: Forward.h:108
RightOperand rhs_
Right-hand side sparse matrix of the subtraction expression.
Definition: SMatSMatSubExpr.h:321
SelectType< IsExpression< MT1 >::value, const MT1, const MT1 & >::Type LeftOperand
Composite type of the left-hand side sparse matrix expression.
Definition: SMatSMatSubExpr.h:174
size_t columns() const
Returns the current number of columns of the matrix.
Definition: SMatSMatSubExpr.h:248
Header file for the isDefault shim.
ResultType::OppositeType OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: SMatSMatSubExpr.h:163
Constraint on the data type.
Constraints on the storage order of matrix types.
Header file for the RemoveReference type trait.
size_t nonZeros() const
Returns the number of non-zero elements in the sparse matrix.
Definition: SMatSMatSubExpr.h:258
LeftOperand leftOperand() const
Returns the left-hand side sparse matrix operand.
Definition: SMatSMatSubExpr.h:279
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.
size_t nonZeros(size_t i) const
Returns the number of non-zero elements in the specified row.
Definition: SMatSMatSubExpr.h:269
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
#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.
MT1::ReturnType RN1
ReturnType type of the left-hand side sparse matrix expression.
Definition: SMatSMatSubExpr.h:111
Header file for the IsHermitian type trait.
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
SelectType< IsExpression< MT2 >::value, const MT2, const MT2 & >::Type RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: SMatSMatSubExpr.h:177
Header file for the IsExpression type trait class.
Header file for the FunctionTrace class.