35 #ifndef _BLAZE_MATH_EXPRESSIONS_TSMATTSMATSUBEXPR_H_
36 #define _BLAZE_MATH_EXPRESSIONS_TSMATTSMATSUBEXPR_H_
102 template<
typename MT1
104 class TSMatTSMatSubExpr :
public SparseMatrix< TSMatTSMatSubExpr<MT1,MT2>, true >
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 ) );
338 template<
typename MT
349 assign( ~lhs, rhs.lhs_ );
352 subAssign( ~lhs, rhs.rhs_ );
356 CT2 B(
serial( rhs.rhs_ ) );
363 for(
size_t j=0UL; j<(~lhs).
columns(); ++j ) {
364 const RightIterator
end( B.end(j) );
365 for( RightIterator element=B.begin(j); element!=
end; ++element ) {
366 if(
isDefault( (~lhs)(element->index(),j) ) )
367 (~lhs)(element->index(),j) = -element->value();
369 (~lhs)(element->index(),j) -= element->value();
390 template<
typename MT >
404 CT1 A(
serial( rhs.lhs_ ) );
405 CT2 B(
serial( rhs.rhs_ ) );
414 const size_t m( rhs.rows() );
415 const size_t n( rhs.columns() );
418 std::vector<size_t> nonzeros( m, 0UL );
419 for(
size_t j=0UL; j<n; ++j )
421 const LeftIterator lend( A.end(j) );
422 const RightIterator rend( B.end(j) );
424 LeftIterator l( A.begin(j) );
425 RightIterator r( B.begin(j) );
427 while( l != lend && r != rend )
429 if( l->index() < r->index() ) {
430 ++nonzeros[l->index()];
433 else if( l->index() > r->index() ) {
434 ++nonzeros[r->index()];
438 ++nonzeros[l->index()];
445 ++nonzeros[l->index()];
450 ++nonzeros[r->index()];
456 for(
size_t i=0UL; i<m; ++i ) {
457 (~lhs).reserve( i, nonzeros[i] );
461 for(
size_t j=0UL; j<n; ++j )
463 const LeftIterator lend( A.end(j) );
464 const RightIterator rend( B.end(j) );
466 LeftIterator l( A.begin(j) );
467 RightIterator r( B.begin(j) );
469 while( l != lend && r != rend )
471 if( l->index() < r->index() ) {
472 (~lhs).append( l->index(), j, l->value() );
475 else if( l->index() > r->index() ) {
476 (~lhs).append( r->index(), j, -r->value() );
480 (~lhs).append( l->index(), j, l->value()-r->value() );
487 (~lhs).append( l->index(), j, l->value() );
492 (~lhs).append( r->index(), j, -r->value() );
513 template<
typename MT >
514 friend inline EnableIf_< UseSymmetricKernel<MT,MT1,MT2> >
524 assign( ~lhs,
trans( rhs.lhs_ ) -
trans( rhs.rhs_ ) );
542 template<
typename MT >
543 friend inline void assign( SparseMatrix<MT,true>& lhs,
const TSMatTSMatSubExpr& rhs )
550 typedef ConstIterator_< RemoveReference_<CT1> > LeftIterator;
551 typedef ConstIterator_< RemoveReference_<CT2> > RightIterator;
553 CT1 A(
serial( rhs.lhs_ ) );
554 CT2 B(
serial( rhs.rhs_ ) );
564 (~lhs).reserve( A.nonZeros() + B.nonZeros() );
567 for(
size_t j=0UL; j<(~lhs).
columns(); ++j )
569 const LeftIterator lend( A.end(j) );
570 const RightIterator rend( B.end(j) );
572 LeftIterator l( A.begin(j) );
573 RightIterator r( B.begin(j) );
575 while( l != lend && r != rend )
577 if( l->index() < r->index() ) {
578 (~lhs).append( l->index(), j, l->value() );
581 else if( l->index() > r->index() ) {
582 (~lhs).append( r->index(), j, -r->value() );
586 (~lhs).append( l->index(), j, l->value()-r->value() );
593 (~lhs).append( l->index(), j, l->value() );
598 (~lhs).append( r->index(), j, -r->value() );
602 (~lhs).finalize( j );
621 template<
typename MT
623 friend inline void addAssign( DenseMatrix<MT,SO>& lhs,
const TSMatTSMatSubExpr& rhs )
630 addAssign( ~lhs, rhs.lhs_ );
631 subAssign( ~lhs, rhs.rhs_ );
653 template<
typename MT
655 friend inline void subAssign( DenseMatrix<MT,SO>& lhs,
const TSMatTSMatSubExpr& rhs )
662 subAssign( ~lhs, rhs.lhs_ );
663 addAssign( ~lhs, rhs.rhs_ );
703 template<
typename MT
705 friend inline EnableIf_< UseSMPAssign<MT> >
738 template<
typename MT
740 friend inline EnableIf_< UseSMPAssign<MT> >
814 template<
typename T1
816 inline const TSMatTSMatSubExpr<T1,T2>
840 template<
typename MT1,
typename MT2 >
841 struct Rows< TSMatTSMatSubExpr<MT1,MT2> >
842 :
public Max< Rows<MT1>, Rows<MT2> >
858 template<
typename MT1,
typename MT2 >
859 struct Columns< TSMatTSMatSubExpr<MT1,MT2> >
860 :
public Max< Columns<MT1>, Columns<MT2> >
876 template<
typename MT1,
typename MT2 >
877 struct IsSymmetric< TSMatTSMatSubExpr<MT1,MT2> >
878 :
public BoolConstant< IsSymmetric<MT1>::value && IsSymmetric<MT2>::value >
894 template<
typename MT1,
typename MT2 >
895 struct IsHermitian< TSMatTSMatSubExpr<MT1,MT2> >
896 :
public BoolConstant< IsHermitian<MT1>::value && IsHermitian<MT2>::value >
912 template<
typename MT1,
typename MT2 >
913 struct IsLower< TSMatTSMatSubExpr<MT1,MT2> >
914 :
public BoolConstant< And< IsLower<MT1>, IsLower<MT2> >::value >
930 template<
typename MT1,
typename MT2 >
931 struct IsUniLower< TSMatTSMatSubExpr<MT1,MT2> >
932 :
public BoolConstant< And< IsUniLower<MT1>, IsStrictlyLower<MT2> >::value >
948 template<
typename MT1,
typename MT2 >
949 struct IsStrictlyLower< TSMatTSMatSubExpr<MT1,MT2> >
950 :
public BoolConstant< And< IsStrictlyLower<MT1>, IsStrictlyLower<MT2> >::value >
966 template<
typename MT1,
typename MT2 >
967 struct IsUpper< TSMatTSMatSubExpr<MT1,MT2> >
968 :
public BoolConstant< And< IsUpper<MT1>, IsUpper<MT2> >::value >
984 template<
typename MT1,
typename MT2 >
985 struct IsUniUpper< TSMatTSMatSubExpr<MT1,MT2> >
986 :
public BoolConstant< And< IsUniUpper<MT1>, IsStrictlyUpper<MT2> >::value >
1002 template<
typename MT1,
typename MT2 >
1003 struct IsStrictlyUpper< TSMatTSMatSubExpr<MT1,MT2> >
1004 :
public BoolConstant< And< IsStrictlyUpper<MT1>, IsStrictlyUpper<MT2> >::value >
1020 template<
typename MT1,
typename MT2,
bool AF >
1021 struct SubmatrixExprTrait< TSMatTSMatSubExpr<MT1,MT2>, AF >
1025 using Type = SubExprTrait_< SubmatrixExprTrait_<const MT1,AF>
1026 , SubmatrixExprTrait_<const MT2,AF> >;
1035 template<
typename MT1,
typename MT2 >
1036 struct RowExprTrait< TSMatTSMatSubExpr<MT1,MT2> >
1040 using Type = SubExprTrait_< RowExprTrait_<const MT1>
1041 , RowExprTrait_<const MT2> >;
1050 template<
typename MT1,
typename MT2 >
1051 struct ColumnExprTrait< TSMatTSMatSubExpr<MT1,MT2> >
1055 using Type = SubExprTrait_< ColumnExprTrait_<const MT1>
1056 , 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.
Header file for basic type definitions.
TSMatTSMatSubExpr< MT1, MT2 > This
Type of this TSMatTSMatSubExpr instance.
Definition: TSMatTSMatSubExpr.h:162
ReturnType_< MT2 > RN2
Return type of the right-hand side sparse matrix expression.
Definition: TSMatTSMatSubExpr.h:113
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.
const ResultType CompositeType
Data type for composite expression templates.
Definition: TSMatTSMatSubExpr.h:172
Header file for the ColumnExprTrait class template.
ResultType_< MT1 > RT1
Result type of the left-hand side sparse matrix expression.
Definition: TSMatTSMatSubExpr.h:110
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: TSMatTSMatSubExpr.h:223
typename DisableIf< Condition, T >::Type DisableIf_
Auxiliary type for the DisableIf class template.The DisableIf_ alias declaration provides a convenien...
Definition: DisableIf.h:223
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
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
LeftOperand lhs_
Left-hand side sparse matrix of the subtraction expression.
Definition: TSMatTSMatSubExpr.h:321
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.
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.
const IfTrue_< returnExpr, ExprReturnType, ElementType > ReturnType
Return type for expression template evaluations.
Definition: TSMatTSMatSubExpr.h:169
typename T::CompositeType CompositeType_
Alias declaration for nested CompositeType type definitions.The CompositeType_ alias declaration prov...
Definition: Aliases.h:83
size_t nonZeros() const
Returns the number of non-zero elements in the sparse matrix.
Definition: TSMatTSMatSubExpr.h:259
LeftOperand leftOperand() const noexcept
Returns the left-hand side transpose sparse matrix operand.
Definition: TSMatTSMatSubExpr.h:280
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
SubExprTrait_< RN1, RN2 > ExprReturnType
Expression return type for the subscript operator.
Definition: TSMatTSMatSubExpr.h:128
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
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: TSMatTSMatSubExpr.h:302
If_< IsExpression< MT2 >, const MT2, const MT2 & > RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: TSMatTSMatSubExpr.h:178
TSMatTSMatSubExpr(const MT1 &lhs, const MT2 &rhs) noexcept
Constructor for the TSMatTSMatSubExpr class.
Definition: TSMatTSMatSubExpr.h:192
#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
SubTrait_< RT1, RT2 > ResultType
Result type for expression template evaluations.
Definition: TSMatTSMatSubExpr.h:163
Compile time check for symmetric matrices.This type trait tests whether or not the given template par...
Definition: IsSymmetric.h:85
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: TSMatTSMatSubExpr.h:249
Header file for the exception macros of the math module.
RightOperand rhs_
Right-hand side sparse matrix of the subtraction expression.
Definition: TSMatTSMatSubExpr.h:322
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
Header file for the RowExprTrait class template.
Header file for all forward declarations for expression class templates.
RightOperand rightOperand() const noexcept
Returns the right-hand side transpose sparse matrix operand.
Definition: TSMatTSMatSubExpr.h:290
Header file for the EnableIf class template.
Header file for the IsStrictlyLower type trait.
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: TSMatTSMatSubExpr.h:314
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: TSMatTSMatSubExpr.h:239
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:270
#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.
CompositeType_< MT2 > CT2
Composite type of the right-hand side sparse matrix expression.
Definition: TSMatTSMatSubExpr.h:115
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:149
If_< IsExpression< MT1 >, const MT1, const MT1 & > LeftOperand
Composite type of the left-hand side sparse matrix expression.
Definition: TSMatTSMatSubExpr.h:175
CompositeType_< MT1 > CT1
Composite type of the left-hand side sparse matrix expression.
Definition: TSMatTSMatSubExpr.h:114
ElementType_< ResultType > ElementType
Resulting element type.
Definition: TSMatTSMatSubExpr.h:166
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
ReturnType_< MT1 > RN1
Return type of the left-hand side sparse matrix expression.
Definition: TSMatTSMatSubExpr.h:112
Header file for the isDefault shim.
Constraint on the data type.
OppositeType_< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: TSMatTSMatSubExpr.h:164
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
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: TSMatTSMatSubExpr.h:208
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
ResultType_< MT2 > RT2
Result type of the right-hand side sparse matrix expression.
Definition: TSMatTSMatSubExpr.h:111
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.
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
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
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: TSMatTSMatSubExpr.h:165
#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
Header file for the IsExpression type trait class.
Header file for the FunctionTrace class.