35 #ifndef _BLAZE_MATH_EXPRESSIONS_SMATSMATSUBEXPR_H_
36 #define _BLAZE_MATH_EXPRESSIONS_SMATSMATSUBEXPR_H_
102 template<
typename MT1
104 class SMatSMatSubExpr :
public SparseMatrix< SMatSMatSubExpr<MT1,MT2>, false >
105 ,
private MatMatSubExpr
106 ,
private Computation
138 template<
typename T1,
typename T2,
typename T3 >
139 struct UseSymmetricKernel {
153 template<
typename MT >
154 struct UseSMPAssign {
155 enum :
bool { value = MT::smpAssignable };
183 enum :
bool { smpAssignable =
false };
223 inline ReturnType
at(
size_t i,
size_t j )
const {
224 if( i >=
lhs_.rows() ) {
227 if( j >=
lhs_.columns() ) {
239 inline size_t rows() const noexcept {
250 return lhs_.columns();
260 return lhs_.nonZeros() +
rhs_.nonZeros();
271 return lhs_.nonZeros(i) +
rhs_.nonZeros(i);
301 template<
typename T >
302 inline bool canAlias(
const T* alias )
const noexcept {
303 return (
lhs_.canAlias( alias ) ||
rhs_.canAlias( alias ) );
313 template<
typename T >
314 inline bool isAliased(
const T* alias )
const noexcept {
315 return (
lhs_.isAliased( alias ) ||
rhs_.isAliased( alias ) );
337 template<
typename MT
348 assign( ~lhs, rhs.lhs_ );
351 subAssign( ~lhs, rhs.rhs_ );
355 CT2 B(
serial( rhs.rhs_ ) );
362 for(
size_t i=0UL; i<(~lhs).
rows(); ++i ) {
363 const RightIterator
end( B.end(i) );
364 for( RightIterator element=B.begin(i); element!=
end; ++element ) {
365 if(
isDefault( (~lhs)(i,element->index()) ) )
366 (~lhs)(i,element->index()) = -element->value();
368 (~lhs)(i,element->index()) -= element->value();
388 template<
typename MT >
399 CT1 A(
serial( rhs.lhs_ ) );
400 CT2 B(
serial( rhs.rhs_ ) );
410 (~lhs).reserve( A.nonZeros() + B.nonZeros() );
413 for(
size_t i=0UL; i<(~lhs).
rows(); ++i )
415 const LeftIterator lend( A.end(i) );
416 const RightIterator rend( B.end(i) );
418 LeftIterator l( A.begin(i) );
419 RightIterator r( B.begin(i) );
421 while( l != lend && r != rend )
423 if( l->index() < r->index() ) {
424 (~lhs).append( i, l->index(), l->value() );
427 else if( l->index() > r->index() ) {
428 (~lhs).append( i, r->index(), -r->value() );
432 (~lhs).append( i, l->index(), l->value()-r->value() );
439 (~lhs).append( i, l->index(), l->value() );
444 (~lhs).append( i, r->index(), -r->value() );
448 (~lhs).finalize( i );
466 template<
typename MT >
467 friend inline DisableIf_< UseSymmetricKernel<MT,MT1,MT2> >
477 typedef ConstIterator_< RemoveReference_<CT1> > LeftIterator;
478 typedef ConstIterator_< RemoveReference_<CT2> > RightIterator;
480 CT1 A(
serial( rhs.lhs_ ) );
481 CT2 B(
serial( rhs.rhs_ ) );
490 const size_t m( rhs.rows() );
491 const size_t n( rhs.columns() );
494 std::vector<size_t> nonzeros( n, 0UL );
495 for(
size_t i=0UL; i<m; ++i )
497 const LeftIterator lend( A.end(i) );
498 const RightIterator rend( B.end(i) );
500 LeftIterator l( A.begin(i) );
501 RightIterator r( B.begin(i) );
503 while( l != lend && r != rend )
505 if( l->index() < r->index() ) {
506 ++nonzeros[l->index()];
509 else if( l->index() > r->index() ) {
510 ++nonzeros[r->index()];
514 ++nonzeros[l->index()];
521 ++nonzeros[l->index()];
526 ++nonzeros[r->index()];
532 for(
size_t j=0UL; j<n; ++j ) {
533 (~lhs).reserve( j, nonzeros[j] );
537 for(
size_t i=0UL; i<m; ++i )
539 const LeftIterator lend( A.end(i) );
540 const RightIterator rend( B.end(i) );
542 LeftIterator l( A.begin(i) );
543 RightIterator r( B.begin(i) );
545 while( l != lend && r != rend )
547 if( l->index() < r->index() ) {
548 (~lhs).append( i, l->index(), l->value() );
551 else if( l->index() > r->index() ) {
552 (~lhs).append( i, r->index(), -r->value() );
556 (~lhs).append( i, l->index(), l->value()-r->value() );
563 (~lhs).append( i, l->index(), l->value() );
568 (~lhs).append( i, r->index(), -r->value() );
588 template<
typename MT >
589 friend inline EnableIf_< UseSymmetricKernel<MT,MT1,MT2> >
599 assign( ~lhs,
trans( rhs.lhs_ ) -
trans( rhs.rhs_ ) );
616 template<
typename MT
618 friend inline void addAssign( DenseMatrix<MT,SO>& lhs,
const SMatSMatSubExpr& rhs )
625 addAssign( ~lhs, rhs.lhs_ );
626 subAssign( ~lhs, rhs.rhs_ );
647 template<
typename MT
649 friend inline void subAssign( DenseMatrix<MT,SO>& lhs,
const SMatSMatSubExpr& rhs )
656 subAssign( ~lhs, rhs.lhs_ );
657 addAssign( ~lhs, rhs.rhs_ );
696 template<
typename MT
698 friend inline EnableIf_< UseSMPAssign<MT> >
731 template<
typename MT
733 friend inline EnableIf_< UseSMPAssign<MT> >
806 template<
typename T1
808 inline const SMatSMatSubExpr<T1,T2>
832 template<
typename MT1,
typename MT2 >
833 struct Rows< SMatSMatSubExpr<MT1,MT2> >
834 :
public Max< Rows<MT1>, Rows<MT2> >
850 template<
typename MT1,
typename MT2 >
851 struct Columns< SMatSMatSubExpr<MT1,MT2> >
852 :
public Max< Columns<MT1>, Columns<MT2> >
868 template<
typename MT1,
typename MT2 >
869 struct IsSymmetric< SMatSMatSubExpr<MT1,MT2> >
870 :
public BoolConstant< IsSymmetric<MT1>::value && IsSymmetric<MT2>::value >
886 template<
typename MT1,
typename MT2 >
887 struct IsHermitian< SMatSMatSubExpr<MT1,MT2> >
888 :
public BoolConstant< IsHermitian<MT1>::value && IsHermitian<MT2>::value >
904 template<
typename MT1,
typename MT2 >
905 struct IsLower< SMatSMatSubExpr<MT1,MT2> >
906 :
public BoolConstant< And< IsLower<MT1>, IsLower<MT2> >::value >
922 template<
typename MT1,
typename MT2 >
923 struct IsUniLower< SMatSMatSubExpr<MT1,MT2> >
924 :
public BoolConstant< And< IsUniLower<MT1>, IsStrictlyLower<MT2> >::value >
940 template<
typename MT1,
typename MT2 >
941 struct IsStrictlyLower< SMatSMatSubExpr<MT1,MT2> >
942 :
public BoolConstant< And< IsStrictlyLower<MT1>, IsStrictlyLower<MT2> >::value >
958 template<
typename MT1,
typename MT2 >
959 struct IsUpper< SMatSMatSubExpr<MT1,MT2> >
960 :
public BoolConstant< And< IsUpper<MT1>, IsUpper<MT2> >::value >
976 template<
typename MT1,
typename MT2 >
977 struct IsUniUpper< SMatSMatSubExpr<MT1,MT2> >
978 :
public BoolConstant< And< IsUniUpper<MT1>, IsStrictlyUpper<MT2> >::value >
994 template<
typename MT1,
typename MT2 >
995 struct IsStrictlyUpper< SMatSMatSubExpr<MT1,MT2> >
996 :
public BoolConstant< And< IsStrictlyUpper<MT1>, IsStrictlyUpper<MT2> >::value >
1012 template<
typename MT1,
typename MT2,
bool AF >
1013 struct SubmatrixExprTrait< SMatSMatSubExpr<MT1,MT2>, AF >
1017 using Type = SubExprTrait_< SubmatrixExprTrait_<const MT1,AF>
1018 , SubmatrixExprTrait_<const MT2,AF> >;
1027 template<
typename MT1,
typename MT2 >
1028 struct RowExprTrait< SMatSMatSubExpr<MT1,MT2> >
1032 using Type = SubExprTrait_< RowExprTrait_<const MT1>
1033 , RowExprTrait_<const MT2> >;
1042 template<
typename MT1,
typename MT2 >
1043 struct ColumnExprTrait< SMatSMatSubExpr<MT1,MT2> >
1047 using Type = SubExprTrait_< ColumnExprTrait_<const MT1>
1048 , ColumnExprTrait_<const MT2> >;
Constraint on the data type.
#define BLAZE_THROW_INVALID_ARGUMENT(MESSAGE)
Macro for the emission of a std::invalid_argument exception.This macro encapsulates the default way o...
Definition: Exception.h:235
Header file for auxiliary alias declarations.
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:70
Header file for the Rows type trait.
Header file for the IsUniUpper type trait.
Header file for the subtraction trait.
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: SMatSMatSubExpr.h:208
Header file for basic type definitions.
const ResultType CompositeType
Data type for composite expression templates.
Definition: SMatSMatSubExpr.h:172
EnableIf_< IsDenseMatrix< MT1 > > 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
Header file for the serial shim.
Header file for the ColumnExprTrait class template.
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: SMatSMatSubExpr.h:239
SMatSMatSubExpr< MT1, MT2 > This
Type of this SMatSMatSubExpr instance.
Definition: SMatSMatSubExpr.h:162
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:723
Header file for the Computation base class.
const DenseIterator< Type, AF > operator-(const DenseIterator< Type, AF > &it, ptrdiff_t inc) noexcept
Subtraction between a DenseIterator and an integral value.
Definition: DenseIterator.h:731
Constraints on the storage order of matrix types.
Header file for the IsUniLower type trait.
typename T::ResultType ResultType_
Alias declaration for nested ResultType type definitions.The ResultType_ alias declaration provides a...
Definition: Aliases.h:323
EnableIf_< IsDenseMatrix< MT1 > > 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
SubExprTrait_< RN1, RN2 > ExprReturnType
Expression return type for the subscript operator.
Definition: SMatSMatSubExpr.h:128
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:109
bool isDefault(const DiagonalProxy< MT > &proxy)
Returns whether the represented element is in default state.
Definition: DiagonalProxy.h:573
typename IfTrue< Condition, T1, T2 >::Type IfTrue_
Auxiliary alias declaration for the IfTrue class template.The IfTrue_ alias declaration provides a co...
Definition: If.h:109
typename T::ReturnType ReturnType_
Alias declaration for nested ReturnType type definitions.The ReturnType_ alias declaration provides a...
Definition: Aliases.h:343
Header file for the SparseMatrix base class.
LeftOperand leftOperand() const noexcept
Returns the left-hand side sparse matrix operand.
Definition: SMatSMatSubExpr.h:280
typename SubExprTrait< T1, T2 >::Type SubExprTrait_
Auxiliary alias declaration for the SubExprTrait class template.The SubExprTrait_ alias declaration p...
Definition: SubExprTrait.h:220
Constraint on the data type.
typename T::CompositeType CompositeType_
Alias declaration for nested CompositeType type definitions.The CompositeType_ alias declaration prov...
Definition: Aliases.h:83
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
Header file for the If class template.
#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:61
ReturnType_< MT2 > RN2
ReturnType type of the right-hand side sparse matrix expression.
Definition: SMatSMatSubExpr.h:113
#define BLAZE_THROW_OUT_OF_RANGE(MESSAGE)
Macro for the emission of a std::out_of_range exception.This macro encapsulates the default way of Bl...
Definition: Exception.h:331
Header file for the Columns type trait.
typename T::ElementType ElementType_
Alias declaration for nested ElementType type definitions.The ElementType_ alias declaration provides...
Definition: Aliases.h:163
Header file for the MatMatSubExpr base class.
Header file for the IsLower type trait.
BLAZE_ALWAYS_INLINE size_t columns(const Matrix< MT, SO > &matrix) noexcept
Returns the current number of columns of the matrix.
Definition: Matrix.h:330
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: SMatSMatSubExpr.h:223
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: SMatSMatSubExpr.h:302
Compile time check for symmetric matrices.This type trait tests whether or not the given template par...
Definition: IsSymmetric.h:85
Header file for the exception macros of the math module.
ResultType_< MT2 > RT2
Result type of the right-hand side sparse matrix expression.
Definition: SMatSMatSubExpr.h:111
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: SMatSMatSubExpr.h:249
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:254
LeftOperand lhs_
Left-hand side sparse matrix of the subtraction expression.
Definition: SMatSMatSubExpr.h:321
Header file for the RowExprTrait class template.
Header file for all forward declarations for expression class templates.
If_< IsExpression< MT2 >, const MT2, const MT2 & > RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: SMatSMatSubExpr.h:178
Header file for the EnableIf class template.
Header file for the IsStrictlyLower type trait.
const IfTrue_< returnExpr, ExprReturnType, ElementType > ReturnType
Return type for expression template evaluations.
Definition: SMatSMatSubExpr.h:169
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: SMatSMatSubExpr.h:314
ReturnType_< MT1 > RN1
ReturnType type of the left-hand side sparse matrix expression.
Definition: SMatSMatSubExpr.h:112
ResultType_< MT1 > RT1
Result type of the left-hand side sparse matrix expression.
Definition: SMatSMatSubExpr.h:110
Compile time check for resizable data types.This type trait tests whether the given data type is a re...
Definition: IsResizable.h:75
CompositeType_< MT1 > CT1
Composite type of the left-hand side sparse matrix expression.
Definition: SMatSMatSubExpr.h:114
#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:79
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:61
Header file for run time assertion macros.
Expression object for sparse matrix-sparse matrix subtractions.The SMatSMatSubExpr class represents t...
Definition: Forward.h:100
RightOperand rhs_
Right-hand side sparse matrix of the subtraction expression.
Definition: SMatSMatSubExpr.h:322
typename If< T1, T2, T3 >::Type If_
Auxiliary alias declaration for the If class template.The If_ alias declaration provides a convenient...
Definition: If.h:160
ElementType_< ResultType > ElementType
Resulting element type.
Definition: SMatSMatSubExpr.h:166
If_< IsExpression< MT1 >, const MT1, const MT1 & > LeftOperand
Composite type of the left-hand side sparse matrix expression.
Definition: SMatSMatSubExpr.h:175
Header file for the isDefault shim.
OppositeType_< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: SMatSMatSubExpr.h:164
Constraint on the data type.
Constraints on the storage order of matrix types.
IntegralConstant< bool, B > BoolConstant
Generic wrapper for a compile time constant boolean value.The BoolConstant class template represents ...
Definition: IntegralConstant.h:100
Header file for the RemoveReference type trait.
typename T::OppositeType OppositeType_
Alias declaration for nested OppositeType type definitions.The OppositeType_ alias declaration provid...
Definition: Aliases.h:243
size_t nonZeros() const
Returns the number of non-zero elements in the sparse matrix.
Definition: SMatSMatSubExpr.h:259
CompositeType_< MT2 > CT2
Composite type of the right-hand side sparse matrix expression.
Definition: SMatSMatSubExpr.h:115
BLAZE_ALWAYS_INLINE size_t rows(const Matrix< MT, SO > &matrix) noexcept
Returns the current number of rows of the matrix.
Definition: Matrix.h:314
typename T::ConstIterator ConstIterator_
Alias declaration for nested ConstIterator type definitions.The ConstIterator_ alias declaration prov...
Definition: Aliases.h:103
SubTrait_< RT1, RT2 > ResultType
Result type for expression template evaluations.
Definition: SMatSMatSubExpr.h:163
const DMatTransExpr< MT,!SO > trans(const DenseMatrix< MT, SO > &dm)
Calculation of the transpose of the given dense matrix.
Definition: DMatTransExpr.h:950
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:270
typename SubTrait< T1, T2 >::Type SubTrait_
Auxiliary alias declaration for the SubTrait class template.The SubTrait_ alias declaration provides ...
Definition: SubTrait.h:245
#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
SMatSMatSubExpr(const MT1 &lhs, const MT2 &rhs) noexcept
Constructor for the SMatSMatSubExpr class.
Definition: SMatSMatSubExpr.h:192
Header file for the IntegralConstant class template.
#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:109
typename T::TransposeType TransposeType_
Alias declaration for nested TransposeType type definitions.The TransposeType_ alias declaration prov...
Definition: Aliases.h:403
Header file for the IsUpper type trait.
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:61
RightOperand rightOperand() const noexcept
Returns the right-hand side sparse matrix operand.
Definition: SMatSMatSubExpr.h:290
Header file for the IsExpression type trait class.
Header file for the FunctionTrace class.
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: SMatSMatSubExpr.h:165