35 #ifndef _BLAZE_MATH_EXPRESSIONS_SMATTSMATADDEXPR_H_ 36 #define _BLAZE_MATH_EXPRESSIONS_SMATTSMATADDEXPR_H_ 102 template<
typename MT1
104 class SMatTSMatAddExpr
105 :
public MatMatAddExpr< SparseMatrix< SMatTSMatAddExpr<MT1,MT2>, false > >
106 ,
private Computation
139 template<
typename T1,
typename T2 >
140 struct UseSymmetricKernel {
154 template<
typename MT >
155 struct UseSMPAssign {
156 enum :
bool { value = MT::smpAssignable };
184 enum :
bool { smpAssignable =
false };
225 if( i >=
lhs_.rows() ) {
228 if( j >=
lhs_.columns() ) {
240 inline size_t rows() const noexcept {
251 return lhs_.columns();
261 return lhs_.nonZeros() +
rhs_.nonZeros();
272 return lhs_.nonZeros(i) +
rhs_.nonZeros(i);
302 template<
typename T >
303 inline bool canAlias(
const T* alias )
const noexcept {
304 return (
lhs_.canAlias( alias ) ||
rhs_.canAlias( alias ) );
314 template<
typename T >
315 inline bool isAliased(
const T* alias )
const noexcept {
316 return (
lhs_.isAliased( alias ) ||
rhs_.isAliased( alias ) );
338 template<
typename MT
349 assign( ~lhs, rhs.lhs_ );
352 addAssign( ~lhs, 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 >
416 (~lhs).reserve( A.nonZeros() + B.nonZeros() );
419 for(
size_t i=0UL; i<(~lhs).
rows(); ++i )
421 const LeftIterator lend( A.end(i) );
422 const RightIterator rend( B.end(i) );
424 LeftIterator l( A.begin(i) );
425 RightIterator r( B.begin(i) );
427 while( l != lend && r != rend )
429 if( l->index() < r->index() ) {
430 (~lhs).append( i, l->index(), l->value() );
433 else if( l->index() > r->index() ) {
434 (~lhs).append( i, r->index(), r->value() );
438 (~lhs).append( i, l->index(), l->value() + r->value() );
445 (~lhs).append( i, l->index(), l->value() );
450 (~lhs).append( i, r->index(), r->value() );
454 (~lhs).finalize( i );
473 template<
typename MT >
482 assign( ~lhs, rhs.lhs_ +
trans( rhs.rhs_ ) );
500 template<
typename MT >
528 (~lhs).reserve( A.nonZeros() + B.nonZeros() );
531 for(
size_t j=0UL; j<(~lhs).
columns(); ++j )
533 const LeftIterator lend( A.end(j) );
534 const RightIterator rend( B.end(j) );
536 LeftIterator l( A.begin(j) );
537 RightIterator r( B.begin(j) );
539 while( l != lend && r != rend )
541 if( l->index() < r->index() ) {
542 (~lhs).append( l->index(), j, l->value() );
545 else if( l->index() > r->index() ) {
546 (~lhs).append( r->index(), j, r->value() );
550 (~lhs).append( l->index(), j, l->value() + r->value() );
557 (~lhs).append( l->index(), j, l->value() );
562 (~lhs).append( r->index(), j, r->value() );
566 (~lhs).finalize( j );
585 template<
typename MT >
596 assign( ~lhs,
trans( rhs.lhs_ ) + rhs.rhs_ );
614 template<
typename MT
623 addAssign( ~lhs, rhs.lhs_ );
624 addAssign( ~lhs, rhs.rhs_ );
646 template<
typename MT
655 subAssign( ~lhs, rhs.lhs_ );
656 subAssign( ~lhs, rhs.rhs_ );
678 template<
typename MT
692 schurAssign( ~lhs, tmp );
732 template<
typename MT
767 template<
typename MT
802 template<
typename MT
884 template<
typename MT1
886 inline decltype(
auto)
930 template<
typename MT1
932 inline decltype(
auto)
957 template<
typename MT1,
typename MT2 >
958 struct Rows< SMatTSMatAddExpr<MT1,MT2> >
959 :
public Maximum< Rows<MT1>, Rows<MT2> >
975 template<
typename MT1,
typename MT2 >
976 struct Columns< SMatTSMatAddExpr<MT1,MT2> >
977 :
public Maximum< Columns<MT1>, Columns<MT2> >
993 template<
typename MT1,
typename MT2 >
995 :
public BoolConstant< IsSymmetric<MT1>::value && IsSymmetric<MT2>::value >
1011 template<
typename MT1,
typename MT2 >
1013 :
public BoolConstant< IsHermitian<MT1>::value && IsHermitian<MT2>::value >
1029 template<
typename MT1,
typename MT2 >
1030 struct IsLower< SMatTSMatAddExpr<MT1,MT2> >
1031 :
public BoolConstant< And< IsLower<MT1>, IsLower<MT2> >::value >
1047 template<
typename MT1,
typename MT2 >
1048 struct IsUniLower< SMatTSMatAddExpr<MT1,MT2> >
1049 :
public BoolConstant< Or< And< IsUniLower<MT1>, IsStrictlyLower<MT2> >
1050 , And< IsUniLower<MT2>, IsStrictlyLower<MT1> > >::value >
1066 template<
typename MT1,
typename MT2 >
1068 :
public BoolConstant< And< IsStrictlyLower<MT1>, IsStrictlyLower<MT2> >::value >
1084 template<
typename MT1,
typename MT2 >
1085 struct IsUpper< SMatTSMatAddExpr<MT1,MT2> >
1086 :
public BoolConstant< And< IsUpper<MT1>, IsUpper<MT2> >::value >
1102 template<
typename MT1,
typename MT2 >
1103 struct IsUniUpper< SMatTSMatAddExpr<MT1,MT2> >
1104 :
public BoolConstant< Or< And< IsUniUpper<MT1>, IsStrictlyUpper<MT2> >
1105 , And< IsUniUpper<MT2>, IsStrictlyUpper<MT1> > >::value >
1121 template<
typename MT1,
typename MT2 >
1123 :
public BoolConstant< And< IsStrictlyUpper<MT1>, IsStrictlyUpper<MT2> >::value >
#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
If_< IsExpression< MT1 >, const MT1, const MT1 &> LeftOperand
Composite type of the left-hand side sparse matrix expression.
Definition: SMatTSMatAddExpr.h:176
Header file for auxiliary alias declarations.
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: SMatTSMatAddExpr.h:315
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.
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.
Generic wrapper for a compile time constant integral value.The IntegralConstant class template repres...
Definition: IntegralConstant.h:71
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: SMatTSMatAddExpr.h:250
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:88
ReturnType_< MT2 > RN2
Evaluation type of the right-hand side sparse matrix expression.
Definition: SMatTSMatAddExpr.h:113
Header file for the AddExprTrait class template.
CompositeType_< MT1 > CT1
Composite type of the left-hand side sparse matrix expression.
Definition: SMatTSMatAddExpr.h:114
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
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: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:78
Base class for sparse matrices.The SparseMatrix class is a base class for all sparse matrix classes...
Definition: Forward.h:129
LeftOperand lhs_
Left-hand side sparse matrix of the addition expression.
Definition: SMatTSMatAddExpr.h:322
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
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.
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:57
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
CompositeType_< MT2 > CT2
Composite type of the right-hand side sparse matrix expression.
Definition: SMatTSMatAddExpr.h:115
Header file for the Or class template.
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: SMatTSMatAddExpr.h:240
#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
AddTrait_< RT1, RT2 > ResultType
Result type for expression template evaluations.
Definition: SMatTSMatAddExpr.h:164
Header file for the Columns type trait.
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: SMatTSMatAddExpr.h:303
typename T::ElementType ElementType_
Alias declaration for nested ElementType type definitions.The ElementType_ alias declaration provides...
Definition: Aliases.h:163
ResultType_< MT1 > RT1
Result type of the left-hand side sparse matrix expression.
Definition: SMatTSMatAddExpr.h:110
Header file for the IsLower type trait.
size_t nonZeros() const
Returns the number of non-zero elements in the sparse matrix.
Definition: SMatTSMatAddExpr.h:260
ReturnType_< MT1 > RN1
Evaluation type of the left-hand side sparse matrix expression.
Definition: SMatTSMatAddExpr.h:112
size_t nonZeros(size_t i) const
Returns the number of non-zero elements in the specified row.
Definition: SMatTSMatAddExpr.h:271
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
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:264
#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:108
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.
If_< IsExpression< MT2 >, const MT2, const MT2 &> RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: SMatTSMatAddExpr.h:179
const ResultType CompositeType
Data type for composite expression templates.
Definition: SMatTSMatAddExpr.h:173
const IfTrue_< returnExpr, ExprReturnType, ElementType > ReturnType
Return type for expression template evaluations.
Definition: SMatTSMatAddExpr.h:170
#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
#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.
AddExprTrait_< RN1, RN2 > ExprReturnType
Expression return type for the subscript operator.
Definition: SMatTSMatAddExpr.h:128
Header file for the addition trait.
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.
#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: SMatTSMatAddExpr.h:209
RightOperand rhs_
Right-hand side sparse matrix of the addition expression.
Definition: SMatTSMatAddExpr.h:323
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:819
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: SMatTSMatAddExpr.h:224
RightOperand rightOperand() const noexcept
Returns the right-hand side transpose sparse matrix operand.
Definition: SMatTSMatAddExpr.h:291
#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 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
ResultType_< MT2 > RT2
Result type of the right-hand side sparse matrix expression.
Definition: SMatTSMatAddExpr.h:111
Expression object for sparse matrix-transpose sparse matrix additions.The SMatTSMatAddExpr class repr...
Definition: Forward.h:125
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:3082
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:790
ElementType_< ResultType > ElementType
Resulting element type.
Definition: SMatTSMatAddExpr.h:167
SMatTSMatAddExpr(const MT1 &lhs, const MT2 &rhs) noexcept
Constructor for the SMatTSMatAddExpr class.
Definition: SMatTSMatAddExpr.h:193
Header file for the IsComputation type trait class.
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:75
Compile time evaluation of the number of rows of a matrix.The Rows type trait evaluates the number of...
Definition: Rows.h:75
bool isDefault(const DiagonalProxy< MT > &proxy)
Returns whether the represented element is in default state.
Definition: DiagonalProxy.h:600
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.
LeftOperand leftOperand() const noexcept
Returns the left-hand side sparse matrix operand.
Definition: SMatTSMatAddExpr.h:281
OppositeType_< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: SMatTSMatAddExpr.h:165
Header file for the IsHermitian type trait.
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: SMatTSMatAddExpr.h:166
Header file for the IsResizable type trait.
typename AddTrait< T1, T2 >::Type AddTrait_
Auxiliary alias declaration for the AddTrait class template.The AddTrait_ alias declaration provides ...
Definition: AddTrait.h:250
#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.