35 #ifndef _BLAZE_MATH_EXPRESSIONS_SMATSMATADDEXPR_H_ 36 #define _BLAZE_MATH_EXPRESSIONS_SMATSMATADDEXPR_H_ 101 template<
typename MT1
103 class SMatSMatAddExpr
104 :
public MatMatAddExpr< SparseMatrix< SMatSMatAddExpr<MT1,MT2>, false > >
105 ,
private Computation
137 template<
typename T1,
typename T2,
typename T3 >
138 struct UseSymmetricKernel {
152 template<
typename MT >
153 struct UseSMPAssign {
154 enum :
bool { value = MT::smpAssignable };
182 enum :
bool { smpAssignable =
false };
223 if( i >=
lhs_.rows() ) {
226 if( j >=
lhs_.columns() ) {
238 inline size_t rows() const noexcept {
249 return lhs_.columns();
259 return lhs_.nonZeros() +
rhs_.nonZeros();
270 return lhs_.nonZeros(i) +
rhs_.nonZeros(i);
300 template<
typename T >
301 inline bool canAlias(
const T* alias )
const noexcept {
302 return (
lhs_.canAlias( alias ) ||
rhs_.canAlias( alias ) );
312 template<
typename T >
313 inline bool isAliased(
const T* alias )
const noexcept {
314 return (
lhs_.isAliased( alias ) ||
rhs_.isAliased( alias ) );
336 template<
typename MT
347 assign( ~lhs, rhs.lhs_ );
350 addAssign( ~lhs, rhs.rhs_ );
361 for(
size_t i=0UL; i<(~lhs).
rows(); ++i ) {
362 const RightIterator
end( B.end(i) );
363 for( RightIterator element=B.begin(i); element!=
end; ++element ) {
364 if(
isDefault( (~lhs)(i,element->index()) ) )
365 (~lhs)(i,element->index()) = element->value();
367 (~lhs)(i,element->index()) += element->value();
387 template<
typename MT >
409 (~lhs).reserve( A.nonZeros() + B.nonZeros() );
412 for(
size_t i=0UL; i<(~lhs).
rows(); ++i )
414 const LeftIterator lend( A.end(i) );
415 const RightIterator rend( B.end(i) );
417 LeftIterator l( A.begin(i) );
418 RightIterator r( B.begin(i) );
420 while( l != lend && r != rend )
422 if( l->index() < r->index() ) {
423 (~lhs).append( i, l->index(), l->value() );
426 else if( l->index() > r->index() ) {
427 (~lhs).append( i, r->index(), r->value() );
431 (~lhs).append( i, l->index(), l->value() + r->value() );
438 (~lhs).append( i, l->index(), l->value() );
443 (~lhs).append( i, r->index(), r->value() );
447 (~lhs).finalize( i );
465 template<
typename MT >
489 const size_t m( A.rows() );
490 const size_t n( A.columns() );
493 std::vector<size_t> nonzeros( n, 0UL );
494 for(
size_t i=0UL; i<m; ++i )
496 const LeftIterator lend( A.end(i) );
497 const RightIterator rend( B.end(i) );
499 LeftIterator l( A.begin(i) );
500 RightIterator r( B.begin(i) );
502 while( l != lend && r != rend )
504 if( l->index() < r->index() ) {
505 ++nonzeros[l->index()];
508 else if( l->index() > r->index() ) {
509 ++nonzeros[r->index()];
513 ++nonzeros[l->index()];
520 ++nonzeros[l->index()];
525 ++nonzeros[r->index()];
531 for(
size_t j=0UL; j<n; ++j ) {
532 (~lhs).reserve( j, nonzeros[j] );
536 for(
size_t i=0UL; i<m; ++i )
538 const LeftIterator lend( A.end(i) );
539 const RightIterator rend( B.end(i) );
541 LeftIterator l( A.begin(i) );
542 RightIterator r( B.begin(i) );
544 while( l != lend && r != rend )
546 if( l->index() < r->index() ) {
547 (~lhs).append( i, l->index(), l->value() );
550 else if( l->index() > r->index() ) {
551 (~lhs).append( i, r->index(), r->value() );
555 (~lhs).append( i, l->index(), l->value() + r->value() );
562 (~lhs).append( i, l->index(), l->value() );
567 (~lhs).append( i, r->index(), r->value() );
587 template<
typename MT >
598 assign( ~lhs,
trans( rhs.lhs_ ) +
trans( rhs.rhs_ ) );
615 template<
typename MT
624 addAssign( ~lhs, rhs.lhs_ );
625 addAssign( ~lhs, rhs.rhs_ );
646 template<
typename MT
655 subAssign( ~lhs, rhs.lhs_ );
656 subAssign( ~lhs, rhs.rhs_ );
677 template<
typename MT
691 schurAssign( ~lhs, tmp );
730 template<
typename MT
764 template<
typename MT
799 template<
typename MT
878 template<
typename MT1
880 inline decltype(
auto)
905 template<
typename MT1,
typename MT2 >
906 struct Rows< SMatSMatAddExpr<MT1,MT2> >
907 :
public Maximum< Rows<MT1>, Rows<MT2> >
923 template<
typename MT1,
typename MT2 >
924 struct Columns< SMatSMatAddExpr<MT1,MT2> >
925 :
public Maximum< Columns<MT1>, Columns<MT2> >
941 template<
typename MT1,
typename MT2 >
943 :
public BoolConstant< IsSymmetric<MT1>::value && IsSymmetric<MT2>::value >
959 template<
typename MT1,
typename MT2 >
961 :
public BoolConstant< IsHermitian<MT1>::value && IsHermitian<MT2>::value >
977 template<
typename MT1,
typename MT2 >
978 struct IsLower< SMatSMatAddExpr<MT1,MT2> >
979 :
public BoolConstant< And< IsLower<MT1>, IsLower<MT2> >::value >
995 template<
typename MT1,
typename MT2 >
997 :
public BoolConstant< Or< And< IsUniLower<MT1>, IsStrictlyLower<MT2> >
998 , And< IsUniLower<MT2>, IsStrictlyLower<MT1> > >::value >
1014 template<
typename MT1,
typename MT2 >
1016 :
public BoolConstant< And< IsStrictlyLower<MT1>, IsStrictlyLower<MT2> >::value >
1032 template<
typename MT1,
typename MT2 >
1033 struct IsUpper< SMatSMatAddExpr<MT1,MT2> >
1034 :
public BoolConstant< And< IsUpper<MT1>, IsUpper<MT2> >::value >
1050 template<
typename MT1,
typename MT2 >
1051 struct IsUniUpper< SMatSMatAddExpr<MT1,MT2> >
1052 :
public BoolConstant< Or< And< IsUniUpper<MT1>, IsStrictlyUpper<MT2> >
1053 , And< IsUniUpper<MT2>, IsStrictlyUpper<MT1> > >::value >
1069 template<
typename MT1,
typename MT2 >
1071 :
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
CompositeType_< MT2 > CT2
Composite type of the right-hand side sparse matrix expression.
Definition: SMatSMatAddExpr.h:112
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: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.
const IfTrue_< returnExpr, ExprReturnType, ElementType > ReturnType
Return type for expression template evaluations.
Definition: SMatSMatAddExpr.h:168
Generic wrapper for a compile time constant integral value.The IntegralConstant class template repres...
Definition: IntegralConstant.h:71
const ResultType CompositeType
Data type for composite expression templates.
Definition: SMatSMatAddExpr.h:171
ElementType_< ResultType > ElementType
Resulting element type.
Definition: SMatSMatAddExpr.h:165
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
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:269
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: SMatSMatAddExpr.h:222
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:174
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.
CompositeType_< MT1 > CT1
Composite type of the left-hand side sparse matrix expression.
Definition: SMatSMatAddExpr.h:111
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:191
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
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:289
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:113
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.
ReturnType_< MT2 > RN2
Return type of the right-hand side sparse matrix expression.
Definition: SMatSMatAddExpr.h:114
#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:127
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:258
Header file for the Columns type trait.
AddTrait_< RT1, RT2 > ResultType
Result type for expression template evaluations.
Definition: SMatSMatAddExpr.h:162
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:163
LeftOperand leftOperand() const noexcept
Returns the left-hand side sparse matrix operand.
Definition: SMatSMatAddExpr.h:279
RightOperand rhs_
Right-hand side sparse matrix of the addition expression.
Definition: SMatSMatAddExpr.h:321
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.
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:109
#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:320
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:301
#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:164
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
#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:177
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: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
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: SMatSMatAddExpr.h:238
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:313
ResultType_< MT2 > RT2
Result type of the right-hand side sparse matrix expression.
Definition: SMatSMatAddExpr.h:110
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
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: SMatSMatAddExpr.h:207
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.
Header file for the IsHermitian type trait.
Header file for the IsResizable type trait.
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: SMatSMatAddExpr.h:248
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.