35 #ifndef _BLAZE_MATH_EXPRESSIONS_SMATSMATADDEXPR_H_ 36 #define _BLAZE_MATH_EXPRESSIONS_SMATSMATADDEXPR_H_ 99 template<
typename MT1
101 class SMatSMatAddExpr
102 :
public MatMatAddExpr< SparseMatrix< SMatSMatAddExpr<MT1,MT2>, false > >
103 ,
private Computation
135 template<
typename T1,
typename T2,
typename T3 >
136 struct UseSymmetricKernel {
150 template<
typename MT >
151 struct UseSMPAssign {
152 enum :
bool { value = MT::smpAssignable };
180 enum :
bool { smpAssignable =
false };
221 if( i >=
lhs_.rows() ) {
224 if( j >=
lhs_.columns() ) {
236 inline size_t rows() const noexcept {
247 return lhs_.columns();
257 return lhs_.nonZeros() +
rhs_.nonZeros();
268 return lhs_.nonZeros(i) +
rhs_.nonZeros(i);
298 template<
typename T >
299 inline bool canAlias(
const T* alias )
const noexcept {
300 return (
lhs_.canAlias( alias ) ||
rhs_.canAlias( alias ) );
310 template<
typename T >
311 inline bool isAliased(
const T* alias )
const noexcept {
312 return (
lhs_.isAliased( alias ) ||
rhs_.isAliased( alias ) );
334 template<
typename MT
345 assign( ~lhs, rhs.lhs_ );
348 addAssign( ~lhs, rhs.rhs_ );
359 for(
size_t i=0UL; i<(~lhs).
rows(); ++i ) {
360 const RightIterator
end( B.end(i) );
361 for( RightIterator element=B.begin(i); element!=
end; ++element ) {
362 if(
isDefault( (~lhs)(i,element->index()) ) )
363 (~lhs)(i,element->index()) = element->value();
365 (~lhs)(i,element->index()) += element->value();
385 template<
typename MT >
407 (~lhs).reserve( A.nonZeros() + B.nonZeros() );
410 for(
size_t i=0UL; i<(~lhs).
rows(); ++i )
412 const LeftIterator lend( A.end(i) );
413 const RightIterator rend( B.end(i) );
415 LeftIterator l( A.begin(i) );
416 RightIterator r( B.begin(i) );
418 while( l != lend && r != rend )
420 if( l->index() < r->index() ) {
421 (~lhs).append( i, l->index(), l->value() );
424 else if( l->index() > r->index() ) {
425 (~lhs).append( i, r->index(), r->value() );
429 (~lhs).append( i, l->index(), l->value() + r->value() );
436 (~lhs).append( i, l->index(), l->value() );
441 (~lhs).append( i, r->index(), r->value() );
445 (~lhs).finalize( i );
463 template<
typename MT >
487 const size_t m( A.rows() );
488 const size_t n( A.columns() );
491 std::vector<size_t> nonzeros( n, 0UL );
492 for(
size_t i=0UL; i<m; ++i )
494 const LeftIterator lend( A.end(i) );
495 const RightIterator rend( B.end(i) );
497 LeftIterator l( A.begin(i) );
498 RightIterator r( B.begin(i) );
500 while( l != lend && r != rend )
502 if( l->index() < r->index() ) {
503 ++nonzeros[l->index()];
506 else if( l->index() > r->index() ) {
507 ++nonzeros[r->index()];
511 ++nonzeros[l->index()];
518 ++nonzeros[l->index()];
523 ++nonzeros[r->index()];
529 for(
size_t j=0UL; j<n; ++j ) {
530 (~lhs).reserve( j, nonzeros[j] );
534 for(
size_t i=0UL; i<m; ++i )
536 const LeftIterator lend( A.end(i) );
537 const RightIterator rend( B.end(i) );
539 LeftIterator l( A.begin(i) );
540 RightIterator r( B.begin(i) );
542 while( l != lend && r != rend )
544 if( l->index() < r->index() ) {
545 (~lhs).append( i, l->index(), l->value() );
548 else if( l->index() > r->index() ) {
549 (~lhs).append( i, r->index(), r->value() );
553 (~lhs).append( i, l->index(), l->value() + r->value() );
560 (~lhs).append( i, l->index(), l->value() );
565 (~lhs).append( i, r->index(), r->value() );
585 template<
typename MT >
596 assign( ~lhs,
trans( rhs.lhs_ ) +
trans( rhs.rhs_ ) );
613 template<
typename MT
622 addAssign( ~lhs, rhs.lhs_ );
623 addAssign( ~lhs, rhs.rhs_ );
644 template<
typename MT
653 subAssign( ~lhs, rhs.lhs_ );
654 subAssign( ~lhs, rhs.rhs_ );
675 template<
typename MT
689 schurAssign( ~lhs, tmp );
728 template<
typename MT
762 template<
typename MT
797 template<
typename MT
876 template<
typename MT1
878 inline decltype(
auto)
903 template<
typename MT1,
typename MT2 >
904 struct Size< SMatSMatAddExpr<MT1,MT2>, 0UL >
905 :
public Maximum< Size<MT1,0UL>, Size<MT2,0UL> >
908 template<
typename MT1,
typename MT2 >
909 struct Size< SMatSMatAddExpr<MT1,MT2>, 1UL >
910 :
public Maximum< Size<MT1,1UL>, Size<MT2,1UL> >
926 template<
typename MT1,
typename MT2 >
928 :
public And< IsSymmetric<MT1>, IsSymmetric<MT2> >
944 template<
typename MT1,
typename MT2 >
946 :
public And< IsHermitian<MT1>, IsHermitian<MT2> >
962 template<
typename MT1,
typename MT2 >
963 struct IsLower< SMatSMatAddExpr<MT1,MT2> >
964 :
public And< IsLower<MT1>, IsLower<MT2> >
980 template<
typename MT1,
typename MT2 >
982 :
public Or< And< IsUniLower<MT1>, IsStrictlyLower<MT2> >
983 , And< IsUniLower<MT2>, IsStrictlyLower<MT1> > >
999 template<
typename MT1,
typename MT2 >
1001 :
public And< IsStrictlyLower<MT1>, IsStrictlyLower<MT2> >
1017 template<
typename MT1,
typename MT2 >
1018 struct IsUpper< SMatSMatAddExpr<MT1,MT2> >
1019 :
public And< IsUpper<MT1>, IsUpper<MT2> >
1035 template<
typename MT1,
typename MT2 >
1036 struct IsUniUpper< SMatSMatAddExpr<MT1,MT2> >
1037 :
public Or< And< IsUniUpper<MT1>, IsStrictlyUpper<MT2> >
1038 , And< IsUniUpper<MT2>, IsStrictlyUpper<MT1> > >
1054 template<
typename MT1,
typename MT2 >
1056 :
public And< IsStrictlyUpper<MT1>, IsStrictlyUpper<MT2> >
#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
CompositeType_< MT2 > CT2
Composite type of the right-hand side sparse matrix expression.
Definition: SMatSMatAddExpr.h:110
Header file for auxiliary alias declarations.
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 basic type definitions.
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.
const IfTrue_< returnExpr, ExprReturnType, ElementType > ReturnType
Return type for expression template evaluations.
Definition: SMatSMatAddExpr.h:166
const ResultType CompositeType
Data type for composite expression templates.
Definition: SMatSMatAddExpr.h:169
ElementType_< ResultType > ElementType
Resulting element type.
Definition: SMatSMatAddExpr.h:163
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
Header file for the AddExprTrait class template.
size_t nonZeros(size_t i) const
Returns the number of non-zero elements in the specified row.
Definition: SMatSMatAddExpr.h:267
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: SMatSMatAddExpr.h:220
Header file for the Computation base class.
If_< IsExpression< MT1 >, const MT1, const MT1 &> LeftOperand
Composite type of the left-hand side sparse matrix expression.
Definition: SMatSMatAddExpr.h:172
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.
CompositeType_< MT1 > CT1
Composite type of the left-hand side sparse matrix expression.
Definition: SMatSMatAddExpr.h:109
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
SMatSMatAddExpr(const MT1 &lhs, const MT2 &rhs) noexcept
Constructor for the SMatSMatAddExpr class.
Definition: SMatSMatAddExpr.h:189
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
typename T::ReturnType ReturnType_
Alias declaration for nested ReturnType type definitions.The ReturnType_ alias declaration provides a...
Definition: Aliases.h:363
RightOperand rightOperand() const noexcept
Returns the right-hand side sparse matrix operand.
Definition: SMatSMatAddExpr.h:287
Header file for the SparseMatrix base class.
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.
ReturnType_< MT1 > RN1
Return type of the left-hand side sparse matrix expression.
Definition: SMatSMatAddExpr.h:111
Header file for the IsStrictlyUpper type trait.
Header file for the IsSymmetric type trait.
typename AddExprTrait< T1, T2 >::Type AddExprTrait_
Auxiliary alias declaration for the AddExprTrait class template.The AddExprTrait_ alias declaration p...
Definition: AddExprTrait.h:112
Namespace of the Blaze C++ math library.
Definition: Blaze.h:58
Header file for the If class template.
ReturnType_< MT2 > RN2
Return type of the right-hand side sparse matrix expression.
Definition: SMatSMatAddExpr.h:112
#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
AddExprTrait_< RN1, RN2 > ExprReturnType
Expression return type for the subscript operator.
Definition: SMatSMatAddExpr.h:125
Header file for the Or class template.
#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
size_t nonZeros() const
Returns the number of non-zero elements in the sparse matrix.
Definition: SMatSMatAddExpr.h:256
AddTrait_< RT1, RT2 > ResultType
Result type for expression template evaluations.
Definition: SMatSMatAddExpr.h:160
typename T::ElementType ElementType_
Alias declaration for nested ElementType type definitions.The ElementType_ alias declaration provides...
Definition: Aliases.h:163
Header file for the IsLower type trait.
OppositeType_< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: SMatSMatAddExpr.h:161
LeftOperand leftOperand() const noexcept
Returns the left-hand side sparse matrix operand.
Definition: SMatSMatAddExpr.h:277
RightOperand rhs_
Right-hand side sparse matrix of the addition expression.
Definition: SMatSMatAddExpr.h:319
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
#define BLAZE_CONSTRAINT_MUST_FORM_VALID_MATMATADDEXPR(T1, T2)
Constraint on the data type.In case the given data types T1 and T2 do not form a valid matrix/matrix ...
Definition: MatMatAddExpr.h:107
Constraint on the data type.
Header file for all forward declarations for expression class templates.
Header file for the EnableIf class template.
Header file for the IsStrictlyLower type trait.
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
ResultType_< MT1 > RT1
Result type of the left-hand side sparse matrix expression.
Definition: SMatSMatAddExpr.h:107
#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
Header file for run time assertion macros.
Header file for the addition trait.
LeftOperand lhs_
Left-hand side sparse matrix of the addition expression.
Definition: SMatSMatAddExpr.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
Constraint on the data type.
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: SMatSMatAddExpr.h:299
#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
Constraint on the data type.
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: SMatSMatAddExpr.h:162
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
If_< IsExpression< MT2 >, const MT2, const MT2 &> RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: SMatSMatAddExpr.h:175
Header file for the MatMatAddExpr base class.
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
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
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: SMatSMatAddExpr.h:236
Header file for the IsComputation type trait class.
Expression object for sparse matrix-sparse matrix additions.The SMatSMatAddExpr class represents the ...
Definition: Forward.h:116
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: SMatSMatAddExpr.h:311
Compile time logical 'or' evaluation.The Or alias declaration performs at compile time a logical 'or'...
Definition: Or.h:76
ResultType_< MT2 > RT2
Result type of the right-hand side sparse matrix expression.
Definition: SMatSMatAddExpr.h:108
Compile time evaluation of the size of vectors and matrices.The Size type trait evaluates the size of...
Definition: Size.h:80
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: SMatSMatAddExpr.h:205
Compile time logical 'and' evaluation.The And alias declaration performs at compile time a logical 'a...
Definition: And.h:76
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.
Header file for the IsHermitian type trait.
Header file for the IsResizable type trait.
Header file for the Size type trait.
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: SMatSMatAddExpr.h:246
typename AddTrait< T1, T2 >::Type AddTrait_
Auxiliary alias declaration for the AddTrait class template.The AddTrait_ alias declaration provides ...
Definition: AddTrait.h:291
#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.