35 #ifndef _BLAZE_MATH_EXPRESSIONS_TSMATTSMATSUBEXPR_H_
36 #define _BLAZE_MATH_EXPRESSIONS_TSMATTSMATSUBEXPR_H_
101 template<
typename MT1
103 class TSMatTSMatSubExpr :
public SparseMatrix< TSMatTSMatSubExpr<MT1,MT2>, true >
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 ) );
337 template<
typename MT
348 assign( ~lhs, rhs.lhs_ );
351 subAssign( ~lhs, rhs.rhs_ );
355 CT2 B(
serial( rhs.rhs_ ) );
362 for(
size_t j=0UL; j<(~lhs).
columns(); ++j ) {
363 const RightIterator
end( B.end(j) );
364 for( RightIterator element=B.begin(j); element!=
end; ++element ) {
365 if(
isDefault( (~lhs)(element->index(),j) ) )
366 (~lhs)(element->index(),j) = -element->value();
368 (~lhs)(element->index(),j) -= element->value();
389 template<
typename MT >
403 CT1 A(
serial( rhs.lhs_ ) );
404 CT2 B(
serial( rhs.rhs_ ) );
413 const size_t m( rhs.rows() );
414 const size_t n( rhs.columns() );
417 std::vector<size_t> nonzeros( m, 0UL );
418 for(
size_t j=0UL; j<n; ++j )
420 const LeftIterator lend( A.end(j) );
421 const RightIterator rend( B.end(j) );
423 LeftIterator l( A.begin(j) );
424 RightIterator r( B.begin(j) );
426 while( l != lend && r != rend )
428 if( l->index() < r->index() ) {
429 ++nonzeros[l->index()];
432 else if( l->index() > r->index() ) {
433 ++nonzeros[r->index()];
437 ++nonzeros[l->index()];
444 ++nonzeros[l->index()];
449 ++nonzeros[r->index()];
455 for(
size_t i=0UL; i<m; ++i ) {
456 (~lhs).reserve( i, nonzeros[i] );
460 for(
size_t j=0UL; j<n; ++j )
462 const LeftIterator lend( A.end(j) );
463 const RightIterator rend( B.end(j) );
465 LeftIterator l( A.begin(j) );
466 RightIterator r( B.begin(j) );
468 while( l != lend && r != rend )
470 if( l->index() < r->index() ) {
471 (~lhs).append( l->index(), j, l->value() );
474 else if( l->index() > r->index() ) {
475 (~lhs).append( r->index(), j, -r->value() );
479 (~lhs).append( l->index(), j, l->value()-r->value() );
486 (~lhs).append( l->index(), j, l->value() );
491 (~lhs).append( r->index(), j, -r->value() );
512 template<
typename MT >
513 friend inline typename EnableIf< UseSymmetricKernel<MT,MT1,MT2> >::Type
523 assign( ~lhs,
trans( rhs.lhs_ ) -
trans( rhs.rhs_ ) );
541 template<
typename MT >
542 friend inline void assign( SparseMatrix<MT,true>& lhs,
const TSMatTSMatSubExpr& rhs )
552 CT1 A(
serial( rhs.lhs_ ) );
553 CT2 B(
serial( rhs.rhs_ ) );
563 (~lhs).reserve( A.nonZeros() + B.nonZeros() );
566 for(
size_t j=0UL; j<(~lhs).
columns(); ++j )
568 const LeftIterator lend( A.end(j) );
569 const RightIterator rend( B.end(j) );
571 LeftIterator l( A.begin(j) );
572 RightIterator r( B.begin(j) );
574 while( l != lend && r != rend )
576 if( l->index() < r->index() ) {
577 (~lhs).append( l->index(), j, l->value() );
580 else if( l->index() > r->index() ) {
581 (~lhs).append( r->index(), j, -r->value() );
585 (~lhs).append( l->index(), j, l->value()-r->value() );
592 (~lhs).append( l->index(), j, l->value() );
597 (~lhs).append( r->index(), j, -r->value() );
601 (~lhs).finalize( j );
620 template<
typename MT
622 friend inline void addAssign( DenseMatrix<MT,SO>& lhs,
const TSMatTSMatSubExpr& rhs )
629 addAssign( ~lhs, rhs.lhs_ );
630 subAssign( ~lhs, rhs.rhs_ );
652 template<
typename MT
654 friend inline void subAssign( DenseMatrix<MT,SO>& lhs,
const TSMatTSMatSubExpr& rhs )
661 subAssign( ~lhs, rhs.lhs_ );
662 addAssign( ~lhs, rhs.rhs_ );
702 template<
typename MT
704 friend inline typename EnableIf< UseSMPAssign<MT> >::Type
737 template<
typename MT
739 friend inline typename EnableIf< UseSMPAssign<MT> >::Type
813 template<
typename T1
815 inline const TSMatTSMatSubExpr<T1,T2>
839 template<
typename MT1,
typename MT2 >
840 struct Rows< TSMatTSMatSubExpr<MT1,MT2> >
841 :
public Max< Rows<MT1>, Rows<MT2> >
857 template<
typename MT1,
typename MT2 >
858 struct Columns< TSMatTSMatSubExpr<MT1,MT2> >
859 :
public Max< Columns<MT1>, Columns<MT2> >
875 template<
typename MT1,
typename MT2 >
876 struct IsSymmetric< TSMatTSMatSubExpr<MT1,MT2> >
877 :
public IsTrue< IsSymmetric<MT1>::value && IsSymmetric<MT2>::value >
893 template<
typename MT1,
typename MT2 >
894 struct IsHermitian< TSMatTSMatSubExpr<MT1,MT2> >
895 :
public IsTrue< IsHermitian<MT1>::value && IsHermitian<MT2>::value >
911 template<
typename MT1,
typename MT2 >
912 struct IsLower< TSMatTSMatSubExpr<MT1,MT2> >
913 :
public IsTrue< And< IsLower<MT1>, IsLower<MT2> >::value >
929 template<
typename MT1,
typename MT2 >
930 struct IsUniLower< TSMatTSMatSubExpr<MT1,MT2> >
931 :
public IsTrue< And< IsUniLower<MT1>, IsStrictlyLower<MT2> >::value >
947 template<
typename MT1,
typename MT2 >
948 struct IsStrictlyLower< TSMatTSMatSubExpr<MT1,MT2> >
949 :
public IsTrue< And< IsStrictlyLower<MT1>, IsStrictlyLower<MT2> >::value >
965 template<
typename MT1,
typename MT2 >
966 struct IsUpper< TSMatTSMatSubExpr<MT1,MT2> >
967 :
public IsTrue< And< IsUpper<MT1>, IsUpper<MT2> >::value >
983 template<
typename MT1,
typename MT2 >
984 struct IsUniUpper< TSMatTSMatSubExpr<MT1,MT2> >
985 :
public IsTrue< And< IsUniUpper<MT1>, IsStrictlyUpper<MT2> >::value >
1001 template<
typename MT1,
typename MT2 >
1002 struct IsStrictlyUpper< TSMatTSMatSubExpr<MT1,MT2> >
1003 :
public IsTrue< And< IsStrictlyUpper<MT1>, IsStrictlyUpper<MT2> >::value >
1019 template<
typename MT1,
typename MT2,
bool AF >
1020 struct SubmatrixExprTrait< TSMatTSMatSubExpr<MT1,MT2>, AF >
1024 typedef typename SubExprTrait< typename SubmatrixExprTrait<const MT1,AF>::Type
1025 ,
typename SubmatrixExprTrait<const MT2,AF>::Type >::Type Type;
1034 template<
typename MT1,
typename MT2 >
1035 struct RowExprTrait< TSMatTSMatSubExpr<MT1,MT2> >
1039 typedef typename SubExprTrait< typename RowExprTrait<const MT1>::Type
1040 ,
typename RowExprTrait<const MT2>::Type >::Type Type;
1049 template<
typename MT1,
typename MT2 >
1050 struct ColumnExprTrait< TSMatTSMatSubExpr<MT1,MT2> >
1054 typedef typename SubExprTrait< typename ColumnExprTrait<const MT1>::Type
1055 ,
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:110
#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
SelectType< IsExpression< MT2 >::value, const MT2, const MT2 & >::Type RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: TSMatTSMatSubExpr.h:177
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:113
TSMatTSMatSubExpr< MT1, MT2 > This
Type of this TSMatTSMatSubExpr instance.
Definition: TSMatTSMatSubExpr.h:161
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 SelectType< returnExpr, ExprReturnType, ElementType >::Type ReturnType
Return type for expression template evaluations.
Definition: TSMatTSMatSubExpr.h:168
Efficient implementation of a compressed matrix.The CompressedMatrix class template is the represent...
Definition: CompressedMatrix.h:207
const ResultType CompositeType
Data type for composite expression templates.
Definition: TSMatTSMatSubExpr.h:171
MT1::ReturnType RN1
Return type of the left-hand side sparse matrix expression.
Definition: TSMatTSMatSubExpr.h:111
Header file for the ColumnExprTrait class template.
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: TSMatTSMatSubExpr.h:222
RightOperand rightOperand() const
Returns the right-hand side transpose sparse matrix operand.
Definition: TSMatTSMatSubExpr.h:289
const This & CompositeType
Data type for composite expression templates.
Definition: CompressedMatrix.h:2588
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 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.
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
LeftOperand lhs_
Left-hand side sparse matrix of the subtraction expression.
Definition: TSMatTSMatSubExpr.h:320
MT2::CompositeType CT2
Composite type of the right-hand side sparse matrix expression.
Definition: TSMatTSMatSubExpr.h:114
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:258
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:165
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
size_t rows() const
Returns the current number of rows of the matrix.
Definition: TSMatTSMatSubExpr.h:238
#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.
ResultType::OppositeType OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: TSMatTSMatSubExpr.h:163
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
SubExprTrait< RN1, RN2 >::Type ExprReturnType
Expression return type for the subscript operator.
Definition: TSMatTSMatSubExpr.h:127
size_t columns() const
Returns the current number of columns of the matrix.
Definition: TSMatTSMatSubExpr.h:248
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:321
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:313
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:174
Header file for the serial shim.
MT2::ReturnType RN2
Return type of the right-hand side sparse matrix expression.
Definition: TSMatTSMatSubExpr.h:112
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:269
LeftOperand leftOperand() const
Returns the left-hand side transpose sparse matrix operand.
Definition: TSMatTSMatSubExpr.h:279
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 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:159
TSMatTSMatSubExpr(const MT1 &lhs, const MT2 &rhs)
Constructor for the TSMatTSMatSubExpr class.
Definition: TSMatTSMatSubExpr.h:191
Header file for the isDefault shim.
Constraint on the data type.
Constraints on the storage order of matrix types.
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:207
SubTrait< RT1, RT2 >::Type ResultType
Result type for expression template evaluations.
Definition: TSMatTSMatSubExpr.h:162
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.
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
bool canAlias(const T *alias) const
Returns whether the expression can alias with the given address alias.
Definition: TSMatTSMatSubExpr.h:301
#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.
MT1::ResultType RT1
Result type of the left-hand side sparse matrix expression.
Definition: TSMatTSMatSubExpr.h:109
Header file for exception macros.
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
ResultType::TransposeType TransposeType
Transpose type for expression template evaluations.
Definition: TSMatTSMatSubExpr.h:164
Header file for the IsExpression type trait class.
Header file for the FunctionTrace class.