35 #ifndef _BLAZE_MATH_EXPRESSIONS_SMATSMATSUBEXPR_H_ 36 #define _BLAZE_MATH_EXPRESSIONS_SMATSMATSUBEXPR_H_ 98 template<
typename MT1
100 class SMatSMatSubExpr
101 :
public MatMatSubExpr< SparseMatrix< SMatSMatSubExpr<MT1,MT2>, false > >
102 ,
private Computation
134 template<
typename T1,
typename T2,
typename T3 >
135 struct UseSymmetricKernel {
149 template<
typename MT >
150 struct UseSMPAssign {
151 enum :
bool { value = MT::smpAssignable };
179 enum :
bool { smpAssignable =
false };
220 if( i >=
lhs_.rows() ) {
223 if( j >=
lhs_.columns() ) {
235 inline size_t rows() const noexcept {
246 return lhs_.columns();
256 return lhs_.nonZeros() +
rhs_.nonZeros();
267 return lhs_.nonZeros(i) +
rhs_.nonZeros(i);
297 template<
typename T >
298 inline bool canAlias(
const T* alias )
const noexcept {
299 return (
lhs_.canAlias( alias ) ||
rhs_.canAlias( alias ) );
309 template<
typename T >
310 inline bool isAliased(
const T* alias )
const noexcept {
311 return (
lhs_.isAliased( alias ) ||
rhs_.isAliased( alias ) );
333 template<
typename MT
344 assign( ~lhs, rhs.lhs_ );
347 subAssign( ~lhs, rhs.rhs_ );
358 for(
size_t i=0UL; i<(~lhs).
rows(); ++i ) {
359 const RightIterator
end( B.end(i) );
360 for( RightIterator element=B.begin(i); element!=
end; ++element ) {
361 if(
isDefault( (~lhs)(i,element->index()) ) )
362 (~lhs)(i,element->index()) = -element->value();
364 (~lhs)(i,element->index()) -= element->value();
384 template<
typename MT >
406 (~lhs).reserve( A.nonZeros() + B.nonZeros() );
409 for(
size_t i=0UL; i<(~lhs).
rows(); ++i )
411 const LeftIterator lend( A.end(i) );
412 const RightIterator rend( B.end(i) );
414 LeftIterator l( A.begin(i) );
415 RightIterator r( B.begin(i) );
417 while( l != lend && r != rend )
419 if( l->index() < r->index() ) {
420 (~lhs).append( i, l->index(), l->value() );
423 else if( l->index() > r->index() ) {
424 (~lhs).append( i, r->index(), -r->value() );
428 (~lhs).append( i, l->index(), l->value() - r->value() );
435 (~lhs).append( i, l->index(), l->value() );
440 (~lhs).append( i, r->index(), -r->value() );
444 (~lhs).finalize( i );
462 template<
typename MT >
486 const size_t m( rhs.rows() );
487 const size_t n( rhs.columns() );
490 std::vector<size_t> nonzeros( n, 0UL );
491 for(
size_t i=0UL; i<m; ++i )
493 const LeftIterator lend( A.end(i) );
494 const RightIterator rend( B.end(i) );
496 LeftIterator l( A.begin(i) );
497 RightIterator r( B.begin(i) );
499 while( l != lend && r != rend )
501 if( l->index() < r->index() ) {
502 ++nonzeros[l->index()];
505 else if( l->index() > r->index() ) {
506 ++nonzeros[r->index()];
510 ++nonzeros[l->index()];
517 ++nonzeros[l->index()];
522 ++nonzeros[r->index()];
528 for(
size_t j=0UL; j<n; ++j ) {
529 (~lhs).reserve( j, nonzeros[j] );
533 for(
size_t i=0UL; i<m; ++i )
535 const LeftIterator lend( A.end(i) );
536 const RightIterator rend( B.end(i) );
538 LeftIterator l( A.begin(i) );
539 RightIterator r( B.begin(i) );
541 while( l != lend && r != rend )
543 if( l->index() < r->index() ) {
544 (~lhs).append( i, l->index(), l->value() );
547 else if( l->index() > r->index() ) {
548 (~lhs).append( i, r->index(), -r->value() );
552 (~lhs).append( i, l->index(), l->value() - r->value() );
559 (~lhs).append( i, l->index(), l->value() );
564 (~lhs).append( i, r->index(), -r->value() );
584 template<
typename MT >
595 assign( ~lhs,
trans( rhs.lhs_ ) -
trans( rhs.rhs_ ) );
612 template<
typename MT
621 addAssign( ~lhs, rhs.lhs_ );
622 subAssign( ~lhs, rhs.rhs_ );
643 template<
typename MT
652 subAssign( ~lhs, rhs.lhs_ );
653 addAssign( ~lhs, rhs.rhs_ );
675 template<
typename MT
689 schurAssign( ~lhs, tmp );
728 template<
typename MT
763 template<
typename MT
798 template<
typename MT
877 template<
typename MT1
879 inline decltype(
auto)
904 template<
typename MT1,
typename MT2 >
905 struct Size< SMatSMatSubExpr<MT1,MT2>, 0UL >
906 :
public Maximum< Size<MT1,0UL>, Size<MT2,0UL> >
909 template<
typename MT1,
typename MT2 >
910 struct Size< SMatSMatSubExpr<MT1,MT2>, 1UL >
911 :
public Maximum< Size<MT1,1UL>, Size<MT2,1UL> >
927 template<
typename MT1,
typename MT2 >
929 :
public And< IsSymmetric<MT1>, IsSymmetric<MT2> >
945 template<
typename MT1,
typename MT2 >
947 :
public And< IsHermitian<MT1>, IsHermitian<MT2> >
963 template<
typename MT1,
typename MT2 >
964 struct IsLower< SMatSMatSubExpr<MT1,MT2> >
965 :
public And< IsLower<MT1>, IsLower<MT2> >
981 template<
typename MT1,
typename MT2 >
983 :
public And< IsUniLower<MT1>, IsStrictlyLower<MT2> >
999 template<
typename MT1,
typename MT2 >
1001 :
public And< IsStrictlyLower<MT1>, IsStrictlyLower<MT2> >
1017 template<
typename MT1,
typename MT2 >
1018 struct IsUpper< SMatSMatSubExpr<MT1,MT2> >
1019 :
public And< IsUpper<MT1>, IsUpper<MT2> >
1035 template<
typename MT1,
typename MT2 >
1036 struct IsUniUpper< SMatSMatSubExpr<MT1,MT2> >
1037 :
public And< IsUniUpper<MT1>, IsStrictlyUpper<MT2> >
1053 template<
typename MT1,
typename MT2 >
1055 :
public And< IsStrictlyUpper<MT1>, IsStrictlyUpper<MT2> >
If_< IsExpression< MT2 >, const MT2, const MT2 &> RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: SMatSMatSubExpr.h:174
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: SMatSMatSubExpr.h:235
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.
ResultType_< MT2 > RT2
Result type of the right-hand side sparse matrix expression.
Definition: SMatSMatSubExpr.h:107
Compile time check whether the given type is a temporary vector or matrix type.This type trait class ...
Definition: IsTemporary.h:69
Header file for the IsUniUpper type trait.
EnableIf_< IsDenseMatrix< MT1 > > smpSchurAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the SMP Schur product assignment of a matrix to dense matrix.
Definition: DenseMatrix.h:196
Header file for the subtraction trait.
Header file for basic type definitions.
SubTrait_< RT1, RT2 > ResultType
Result type for expression template evaluations.
Definition: SMatSMatSubExpr.h:159
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:164
Header file for the serial shim.
ReturnType_< MT1 > RN1
ReturnType type of the left-hand side sparse matrix expression.
Definition: SMatSMatSubExpr.h:108
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: SMatSMatSubExpr.h:310
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: SMatSMatSubExpr.h:245
typename DisableIf< Condition, T >::Type DisableIf_
Auxiliary type for the DisableIf class template.The DisableIf_ alias declaration provides a convenien...
Definition: DisableIf.h:224
Header file for the And class template.
Compile time value evaluation.The Maximum alias declaration selects the larger of the two given templ...
Definition: Maximum.h:73
Compile time check for lower triangular matrices.This type trait tests whether or not the given templ...
Definition: IsLower.h:87
const ResultType CompositeType
Data type for composite expression templates.
Definition: SMatSMatSubExpr.h:168
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:87
Constraints on the storage order of matrix types.
size_t nonZeros(size_t i) const
Returns the number of non-zero elements in the specified row.
Definition: SMatSMatSubExpr.h:266
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:343
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:133
Base class for dense matrices.The DenseMatrix class is a base class for all dense matrix classes...
Definition: DenseMatrix.h:80
Base class for sparse matrices.The SparseMatrix class is a base class for all sparse matrix classes...
Definition: Forward.h:129
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
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: SMatSMatSubExpr.h:219
typename T::ReturnType ReturnType_
Alias declaration for nested ReturnType type definitions.The ReturnType_ alias declaration provides a...
Definition: Aliases.h:363
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:112
Constraint on the data type.
Header file for the Maximum class template.
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
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:58
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: SMatSMatSubExpr.h:298
ResultType_< MT1 > RT1
Result type of the left-hand side sparse matrix expression.
Definition: SMatSMatSubExpr.h:106
#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
CompositeType_< MT2 > CT2
Composite type of the right-hand side sparse matrix expression.
Definition: SMatSMatSubExpr.h:111
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.
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
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:430
LeftOperand lhs_
Left-hand side sparse matrix of the subtraction expression.
Definition: SMatSMatSubExpr.h:317
const IfTrue_< returnExpr, ExprReturnType, ElementType > ReturnType
Return type for expression template evaluations.
Definition: SMatSMatSubExpr.h:165
Constraint on the data type.
Header file for all forward declarations for expression class templates.
SubExprTrait_< RN1, RN2 > ExprReturnType
Expression return type for the subscript operator.
Definition: SMatSMatSubExpr.h:124
Header file for the EnableIf class template.
Header file for the IsStrictlyLower type trait.
ReturnType_< MT2 > RN2
ReturnType type of the right-hand side sparse matrix expression.
Definition: SMatSMatSubExpr.h:109
Compile time check for lower unitriangular matrices.This type trait tests whether or not the given te...
Definition: IsUniLower.h:86
CompositeType_< MT1 > CT1
Composite 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
OppositeType_< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: SMatSMatSubExpr.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:79
#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
If_< IsExpression< MT1 >, const MT1, const MT1 &> LeftOperand
Composite type of the left-hand side sparse matrix expression.
Definition: SMatSMatSubExpr.h:171
Header file for run time assertion macros.
ElementType_< ResultType > ElementType
Resulting element type.
Definition: SMatSMatSubExpr.h:162
Expression object for sparse matrix-sparse matrix subtractions.The SMatSMatSubExpr class represents t...
Definition: Forward.h:119
RightOperand rhs_
Right-hand side sparse matrix of the subtraction expression.
Definition: SMatSMatSubExpr.h:318
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:154
RightOperand rightOperand() const noexcept
Returns the right-hand side sparse matrix operand.
Definition: SMatSMatSubExpr.h:286
#define BLAZE_FUNCTION_TRACE
Function trace macro.This macro can be used to reliably trace function calls. In case function tracin...
Definition: FunctionTrace.h:94
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
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: SMatSMatSubExpr.h:204
Constraint on the data type.
Constraints on the storage order of matrix types.
decltype(auto) serial(const DenseMatrix< MT, SO > &dm)
Forces the serial evaluation of the given dense matrix expression dm.
Definition: DMatSerialExpr.h:816
#define BLAZE_CONSTRAINT_MUST_NOT_REQUIRE_EVALUATION(T)
Constraint on the data type.In case the given data type T requires an intermediate evaluation within ...
Definition: RequiresEvaluation.h:81
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:224
typename T::OppositeType OppositeType_
Alias declaration for nested OppositeType type definitions.The OppositeType_ alias declaration provid...
Definition: Aliases.h:263
Compile time check for strictly lower triangular matrices.This type trait tests whether or not the gi...
Definition: IsStrictlyLower.h:86
LeftOperand leftOperand() const noexcept
Returns the left-hand side sparse matrix operand.
Definition: SMatSMatSubExpr.h:276
const Type & ReturnType
Return type for expression template evaluations.
Definition: CompressedMatrix.h:3080
typename T::ConstIterator ConstIterator_
Alias declaration for nested ConstIterator type definitions.The ConstIterator_ alias declaration prov...
Definition: Aliases.h:103
decltype(auto) trans(const DenseMatrix< MT, SO > &dm)
Calculation of the transpose of the given dense matrix.
Definition: DMatTransExpr.h:789
Header file for the IsComputation type trait class.
size_t nonZeros() const
Returns the number of non-zero elements in the sparse matrix.
Definition: SMatSMatSubExpr.h:255
typename SubTrait< T1, T2 >::Type SubTrait_
Auxiliary alias declaration for the SubTrait class template.The SubTrait_ alias declaration provides ...
Definition: SubTrait.h:291
Compile time evaluation of the size of vectors and matrices.The Size type trait evaluates the size of...
Definition: Size.h:80
SMatSMatSubExpr(const MT1 &lhs, const MT2 &rhs) noexcept
Constructor for the SMatSMatSubExpr class.
Definition: SMatSMatSubExpr.h:188
Compile time logical 'and' evaluation.The And alias declaration performs at compile time a logical 'a...
Definition: And.h:76
#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:107
bool isDefault(const DiagonalProxy< MT > &proxy)
Returns whether the represented element is in default state.
Definition: DiagonalProxy.h:628
typename T::TransposeType TransposeType_
Alias declaration for nested TransposeType type definitions.The TransposeType_ alias declaration prov...
Definition: Aliases.h:423
Header file for the IsUpper type trait.
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: SMatSMatSubExpr.h:161
Header file for the IsHermitian type trait.
Header file for the IsResizable type trait.
Header file for the SubExprTrait class template.
Header file for the Size type trait.
#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
Header file for the IsExpression type trait class.
Header file for the function trace functionality.