35 #ifndef _BLAZE_MATH_EXPRESSIONS_SMATTSMATSUBEXPR_H_ 36 #define _BLAZE_MATH_EXPRESSIONS_SMATTSMATSUBEXPR_H_ 103 template<
typename MT1
105 class SMatTSMatSubExpr :
public SparseMatrix< SMatTSMatSubExpr<MT1,MT2>, false >
106 ,
private MatMatSubExpr
107 ,
private Computation
140 template<
typename T1,
typename T2 >
141 struct UseSymmetricKernel {
155 template<
typename MT >
156 struct UseSMPAssign {
157 enum :
bool { value = MT::smpAssignable };
185 enum :
bool { smpAssignable =
false };
225 inline ReturnType
at(
size_t i,
size_t j )
const {
226 if( i >=
lhs_.rows() ) {
229 if( j >=
lhs_.columns() ) {
241 inline size_t rows() const noexcept {
252 return lhs_.columns();
262 return lhs_.nonZeros() +
rhs_.nonZeros();
273 return lhs_.nonZeros(i) +
rhs_.nonZeros(i);
303 template<
typename T >
304 inline bool canAlias(
const T* alias )
const noexcept {
305 return (
lhs_.canAlias( alias ) ||
rhs_.canAlias( alias ) );
315 template<
typename T >
316 inline bool isAliased(
const T* alias )
const noexcept {
317 return (
lhs_.isAliased( alias ) ||
rhs_.isAliased( alias ) );
339 template<
typename MT
350 assign( ~lhs, rhs.lhs_ );
353 subAssign( ~lhs, rhs.rhs_ );
357 CT2 B(
serial( rhs.rhs_ ) );
364 for(
size_t j=0UL; j<(~lhs).
columns(); ++j ) {
365 const RightIterator
end( B.end(j) );
366 for( RightIterator element=B.begin(j); element!=
end; ++element ) {
367 if(
isDefault( (~lhs)(element->index(),j) ) )
368 (~lhs)(element->index(),j) = -element->value();
370 (~lhs)(element->index(),j) -= element->value();
391 template<
typename MT >
404 CT1 A(
serial( rhs.lhs_ ) );
417 (~lhs).reserve( A.nonZeros() + B.nonZeros() );
420 for(
size_t i=0UL; i<(~lhs).
rows(); ++i )
422 const LeftIterator lend( A.end(i) );
423 const RightIterator rend( B.end(i) );
425 LeftIterator l( A.begin(i) );
426 RightIterator r( B.begin(i) );
428 while( l != lend && r != rend )
430 if( l->index() < r->index() ) {
431 (~lhs).append( i, l->index(), l->value() );
434 else if( l->index() > r->index() ) {
435 (~lhs).append( i, r->index(), -r->value() );
439 (~lhs).append( i, l->index(), l->value()-r->value() );
446 (~lhs).append( i, l->index(), l->value() );
451 (~lhs).append( i, r->index(), -r->value() );
455 (~lhs).finalize( i );
474 template<
typename MT >
483 assign( ~lhs, rhs.lhs_ -
trans( rhs.rhs_ ) );
501 template<
typename MT >
519 CT2 B(
serial( rhs.rhs_ ) );
529 (~lhs).reserve( A.nonZeros() + B.nonZeros() );
532 for(
size_t j=0UL; j<(~lhs).
columns(); ++j )
534 const LeftIterator lend( A.end(j) );
535 const RightIterator rend( B.end(j) );
537 LeftIterator l( A.begin(j) );
538 RightIterator r( B.begin(j) );
540 while( l != lend && r != rend )
542 if( l->index() < r->index() ) {
543 (~lhs).append( l->index(), j, l->value() );
546 else if( l->index() > r->index() ) {
547 (~lhs).append( r->index(), j, -r->value() );
551 (~lhs).append( l->index(), j, l->value()-r->value() );
558 (~lhs).append( l->index(), j, l->value() );
563 (~lhs).append( r->index(), j, -r->value() );
567 (~lhs).finalize( j );
586 template<
typename MT >
597 assign( ~lhs,
trans( rhs.lhs_ ) - rhs.rhs_ );
615 template<
typename MT
624 addAssign( ~lhs, rhs.lhs_ );
625 subAssign( ~lhs, rhs.rhs_ );
647 template<
typename MT
656 subAssign( ~lhs, rhs.lhs_ );
657 addAssign( ~lhs, rhs.rhs_ );
697 template<
typename MT
732 template<
typename MT
810 template<
typename T1
836 template<
typename MT1,
typename MT2 >
837 struct Rows< SMatTSMatSubExpr<MT1,MT2> >
838 :
public Max< Rows<MT1>, Rows<MT2> >
854 template<
typename MT1,
typename MT2 >
855 struct Columns< SMatTSMatSubExpr<MT1,MT2> >
856 :
public Max< Columns<MT1>, Columns<MT2> >
872 template<
typename MT1,
typename MT2 >
874 :
public BoolConstant< IsSymmetric<MT1>::value && IsSymmetric<MT2>::value >
890 template<
typename MT1,
typename MT2 >
892 :
public BoolConstant< IsHermitian<MT1>::value && IsHermitian<MT2>::value >
908 template<
typename MT1,
typename MT2 >
909 struct IsLower< SMatTSMatSubExpr<MT1,MT2> >
910 :
public BoolConstant< And< IsLower<MT1>, IsLower<MT2> >::value >
926 template<
typename MT1,
typename MT2 >
927 struct IsUniLower< SMatTSMatSubExpr<MT1,MT2> >
928 :
public BoolConstant< And< IsUniLower<MT1>, IsStrictlyLower<MT2> >::value >
944 template<
typename MT1,
typename MT2 >
946 :
public BoolConstant< And< IsStrictlyLower<MT1>, IsStrictlyLower<MT2> >::value >
962 template<
typename MT1,
typename MT2 >
963 struct IsUpper< SMatTSMatSubExpr<MT1,MT2> >
964 :
public BoolConstant< And< IsUpper<MT1>, IsUpper<MT2> >::value >
980 template<
typename MT1,
typename MT2 >
981 struct IsUniUpper< SMatTSMatSubExpr<MT1,MT2> >
982 :
public BoolConstant< And< IsUniUpper<MT1>, IsStrictlyUpper<MT2> >::value >
998 template<
typename MT1,
typename MT2 >
1000 :
public BoolConstant< And< IsStrictlyUpper<MT1>, IsStrictlyUpper<MT2> >::value >
1016 template<
typename MT1,
typename MT2,
bool AF >
1031 template<
typename MT1,
typename MT2 >
1046 template<
typename MT1,
typename MT2 >
typename SubmatrixExprTrait< MT, AF >::Type SubmatrixExprTrait_
Auxiliary alias declaration for the SubmatrixExprTrait type trait.The SubmatrixExprTrait_ alias decla...
Definition: SubmatrixExprTrait.h:134
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
RightOperand rightOperand() const noexcept
Returns the right-hand side transpose sparse matrix operand.
Definition: SMatTSMatSubExpr.h:292
Header file for auxiliary alias declarations.
Header file for the Max class template.
LeftOperand leftOperand() const noexcept
Returns the left-hand side sparse matrix operand.
Definition: SMatTSMatSubExpr.h:282
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.
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: SMatTSMatSubExpr.h:316
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.
Generic wrapper for a compile time constant integral value.The IntegralConstant class template repres...
Definition: IntegralConstant.h:71
size_t nonZeros() const
Returns the number of non-zero elements in the sparse matrix.
Definition: SMatTSMatSubExpr.h:261
Header file for the ColumnExprTrait class template.
LeftOperand lhs_
Left-hand side sparse matrix of the subtraction expression.
Definition: SMatTSMatSubExpr.h:323
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.
Compile time check for lower triangular matrices.This type trait tests whether or not the given templ...
Definition: IsLower.h:88
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.
Compile time check for upper triangular matrices.This type trait tests whether or not the given templ...
Definition: IsUpper.h:88
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.
ResultType_< MT2 > RT2
Result type of the right-hand side sparse matrix expression.
Definition: SMatTSMatSubExpr.h:112
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
ResultType_< MT1 > RT1
Result type of the left-hand side sparse matrix expression.
Definition: SMatTSMatSubExpr.h:111
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: SMatTSMatSubExpr.h:167
Base class for dense matrices.The DenseMatrix class is a base class for all dense matrix classes...
Definition: DenseMatrix.h:71
Base class for sparse matrices.The SparseMatrix class is a base class for all sparse matrix classes...
Definition: Forward.h:119
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.
SubExprTrait_< RN1, RN2 > ExprReturnType
Expression return type for the subscript operator.
Definition: SMatTSMatSubExpr.h:129
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.
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: SMatTSMatSubExpr.h:225
const ResultType CompositeType
Data type for composite expression templates.
Definition: SMatTSMatSubExpr.h:174
typename T::CompositeType CompositeType_
Alias declaration for nested CompositeType type definitions.The CompositeType_ alias declaration prov...
Definition: Aliases.h:83
Compile time check for upper unitriangular matrices.This type trait tests whether or not the given te...
Definition: IsUniUpper.h:86
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: SMatTSMatSubExpr.h:251
Header file for the DisableIf class template.
typename RowExprTrait< MT >::Type RowExprTrait_
Auxiliary alias declaration for the RowExprTrait type trait.The RowExprTrait_ alias declaration provi...
Definition: RowExprTrait.h:134
Header file for the IsTemporary type trait class.
Header file for the IsStrictlyUpper type trait.
Header file for the IsSymmetric type trait.
OppositeType_< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: SMatTSMatSubExpr.h:166
Namespace of the Blaze C++ math library.
Definition: Blaze.h:57
Header file for the If class template.
size_t nonZeros(size_t i) const
Returns the number of non-zero elements in the specified row.
Definition: SMatTSMatSubExpr.h:272
#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
Expression object for sparse matrix-transpose sparse matrix subtractions.The SMatTSMatSubExpr class r...
Definition: Forward.h:118
#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.
If_< IsExpression< MT2 >, const MT2, const MT2 &> RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: SMatTSMatSubExpr.h:180
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.
Evaluation of the expression type type of a submatrix operation.Via this type trait it is possible to...
Definition: SubmatrixExprTrait.h:80
Header file for the IsLower type trait.
typename ColumnExprTrait< MT >::Type ColumnExprTrait_
Auxiliary alias declaration for the ColumnExprTrait type trait.The ColumnExprTrait_ alias declaration...
Definition: ColumnExprTrait.h:133
Constraints on the storage order of matrix types.
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.
Compile time check for strictly upper triangular matrices.This type trait tests whether or not the gi...
Definition: IsStrictlyUpper.h:86
Evaluation of the expression type type of a row operation.Via this type trait it is possible to evalu...
Definition: RowExprTrait.h:79
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:260
CompositeType_< MT2 > CT2
Composite type of the right-hand side sparse matrix expression.
Definition: SMatTSMatSubExpr.h:116
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.
#define BLAZE_CONSTRAINT_MATRICES_MUST_HAVE_DIFFERENT_STORAGE_ORDER(T1, T2)
Constraint on the data type.In case either of the two given data types T1 or T2 is not a matrix type ...
Definition: StorageOrder.h:106
Compile time check for lower unitriangular matrices.This type trait tests whether or not the given te...
Definition: IsUniLower.h:86
Compile time check for resizable data types.This type trait tests whether the given data type is a re...
Definition: IsResizable.h:75
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: SMatTSMatSubExpr.h:210
const IfTrue_< returnExpr, ExprReturnType, ElementType > ReturnType
Return type for expression template evaluations.
Definition: SMatTSMatSubExpr.h:171
#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
CompositeType_< MT1 > CT1
Composite type of the left-hand side sparse matrix expression.
Definition: SMatTSMatSubExpr.h:115
Header file for run time assertion macros.
SMatTSMatSubExpr< MT1, MT2 > This
Type of this SMatTSMatSubExpr instance.
Definition: SMatTSMatSubExpr.h:164
Compile time value evaluation.The Max class template selects the larger of the two given template arg...
Definition: Max.h:72
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
#define BLAZE_FUNCTION_TRACE
Function trace macro.This macro can be used to reliably trace function calls. In case function tracin...
Definition: FunctionTrace.h:93
Header file for the isDefault shim.
Compile time check for Hermitian matrices.This type trait tests whether or not the given template par...
Definition: IsHermitian.h:85
Constraint on the data type.
ReturnType_< MT2 > RN2
Return type of the right-hand side sparse matrix expression.
Definition: SMatTSMatSubExpr.h:114
Constraints on the storage order of matrix types.
ReturnType_< MT1 > RN1
Return type of the left-hand side sparse matrix expression.
Definition: SMatTSMatSubExpr.h:113
Header file for the RemoveReference type trait.
typename EnableIf< Condition, T >::Type EnableIf_
Auxiliary alias declaration for the EnableIf class template.The EnableIf_ alias declaration provides ...
Definition: EnableIf.h:223
typename T::OppositeType OppositeType_
Alias declaration for nested OppositeType type definitions.The OppositeType_ alias declaration provid...
Definition: Aliases.h:243
Compile time check for strictly lower triangular matrices.This type trait tests whether or not the gi...
Definition: IsStrictlyLower.h:86
typename T::ConstIterator ConstIterator_
Alias declaration for nested ConstIterator type definitions.The ConstIterator_ alias declaration prov...
Definition: Aliases.h:103
const DMatTransExpr< MT,!SO > trans(const DenseMatrix< MT, SO > &dm)
Calculation of the transpose of the given dense matrix.
Definition: DMatTransExpr.h:733
Header file for the IsComputation type trait class.
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: SMatTSMatSubExpr.h:304
typename SubTrait< T1, T2 >::Type SubTrait_
Auxiliary alias declaration for the SubTrait class template.The SubTrait_ alias declaration provides ...
Definition: SubTrait.h:245
Header file for the IntegralConstant class template.
Compile time evaluation of the number of columns of a matrix.The Columns type trait evaluates the num...
Definition: Columns.h:76
ElementType_< ResultType > ElementType
Resulting element type.
Definition: SMatTSMatSubExpr.h:168
SMatTSMatSubExpr(const MT1 &lhs, const MT2 &rhs) noexcept
Constructor for the SMatTSMatSubExpr class.
Definition: SMatTSMatSubExpr.h:194
Compile time evaluation of the number of rows of a matrix.The Rows type trait evaluates the number of...
Definition: Rows.h:76
RightOperand rhs_
Right-hand side sparse matrix of the subtraction expression.
Definition: SMatTSMatSubExpr.h:324
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: SMatTSMatSubExpr.h:241
#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
bool isDefault(const DiagonalProxy< MT > &proxy)
Returns whether the represented element is in default state.
Definition: DiagonalProxy.h:573
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.
Evaluation of the expression type type of a column operation.Via this type trait it is possible to ev...
Definition: ColumnExprTrait.h:78
#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
If_< IsExpression< MT1 >, const MT1, const MT1 &> LeftOperand
Composite type of the left-hand side sparse matrix expression.
Definition: SMatTSMatSubExpr.h:177
Header file for the IsExpression type trait class.
SubTrait_< RT1, RT2 > ResultType
Result type for expression template evaluations.
Definition: SMatTSMatSubExpr.h:165
Header file for the function trace functionality.