35 #ifndef _BLAZE_MATH_EXPRESSIONS_TSMATTSMATADDEXPR_H_ 36 #define _BLAZE_MATH_EXPRESSIONS_TSMATTSMATADDEXPR_H_ 99 template<
typename MT1
101 class TSMatTSMatAddExpr
102 :
public MatMatAddExpr< SparseMatrix< TSMatTSMatAddExpr<MT1,MT2>, true > >
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 ) );
335 template<
typename MT
346 assign( ~lhs, rhs.lhs_ );
349 addAssign( ~lhs, rhs.rhs_ );
360 for(
size_t j=0UL; j<(~lhs).
columns(); ++j ) {
361 const RightIterator
end( B.end(j) );
362 for( RightIterator element=B.begin(j); element!=
end; ++element ) {
363 if(
isDefault( (~lhs)(element->index(),j) ) )
364 (~lhs)(element->index(),j) = element->value();
366 (~lhs)(element->index(),j) += element->value();
387 template<
typename MT >
411 const size_t m( rhs.rows() );
412 const size_t n( rhs.columns() );
415 std::vector<size_t> nonzeros( m, 0UL );
416 for(
size_t j=0UL; j<n; ++j )
418 const LeftIterator lend( A.end(j) );
419 const RightIterator rend( B.end(j) );
421 LeftIterator l( A.begin(j) );
422 RightIterator r( B.begin(j) );
424 while( l != lend && r != rend )
426 if( l->index() < r->index() ) {
427 ++nonzeros[l->index()];
430 else if( l->index() > r->index() ) {
431 ++nonzeros[r->index()];
435 ++nonzeros[l->index()];
442 ++nonzeros[l->index()];
447 ++nonzeros[r->index()];
453 for(
size_t i=0UL; i<m; ++i ) {
454 (~lhs).reserve( i, nonzeros[i] );
458 for(
size_t j=0UL; j<n; ++j )
460 const LeftIterator lend( A.end(j) );
461 const RightIterator rend( B.end(j) );
463 LeftIterator l( A.begin(j) );
464 RightIterator r( B.begin(j) );
466 while( l != lend && r != rend )
468 if( l->index() < r->index() ) {
469 (~lhs).append( l->index(), j, l->value() );
472 else if( l->index() > r->index() ) {
473 (~lhs).append( r->index(), j, r->value() );
477 (~lhs).append( l->index(), j, l->value() + r->value() );
484 (~lhs).append( l->index(), j, l->value() );
489 (~lhs).append( r->index(), j, r->value() );
510 template<
typename MT >
521 assign( ~lhs,
trans( rhs.lhs_ ) +
trans( rhs.rhs_ ) );
539 template<
typename MT >
561 (~lhs).reserve( A.nonZeros() + B.nonZeros() );
564 for(
size_t j=0UL; j<(~lhs).
columns(); ++j )
566 const LeftIterator lend( A.end(j) );
567 const RightIterator rend( B.end(j) );
569 LeftIterator l( A.begin(j) );
570 RightIterator r( B.begin(j) );
572 while( l != lend && r != rend )
574 if( l->index() < r->index() ) {
575 (~lhs).append( l->index(), j, l->value() );
578 else if( l->index() > r->index() ) {
579 (~lhs).append( r->index(), j, r->value() );
583 (~lhs).append( l->index(), j, l->value() + r->value() );
590 (~lhs).append( l->index(), j, l->value() );
595 (~lhs).append( r->index(), j, r->value() );
599 (~lhs).finalize( j );
618 template<
typename MT
627 addAssign( ~lhs, rhs.lhs_ );
628 addAssign( ~lhs, rhs.rhs_ );
650 template<
typename MT
659 subAssign( ~lhs, rhs.lhs_ );
660 subAssign( ~lhs, rhs.rhs_ );
682 template<
typename MT
696 schurAssign( ~lhs, tmp );
736 template<
typename MT
771 template<
typename MT
807 template<
typename MT
886 template<
typename MT1
888 inline decltype(
auto)
913 template<
typename MT1,
typename MT2 >
914 struct Size< TSMatTSMatAddExpr<MT1,MT2>, 0UL >
915 :
public Maximum< Size<MT1,0UL>, Size<MT2,0UL> >
918 template<
typename MT1,
typename MT2 >
919 struct Size< TSMatTSMatAddExpr<MT1,MT2>, 1UL >
920 :
public Maximum< Size<MT1,1UL>, Size<MT2,1UL> >
936 template<
typename MT1,
typename MT2 >
938 :
public And< IsSymmetric<MT1>, IsSymmetric<MT2> >
954 template<
typename MT1,
typename MT2 >
956 :
public And< IsHermitian<MT1>, IsHermitian<MT2> >
972 template<
typename MT1,
typename MT2 >
973 struct IsLower< TSMatTSMatAddExpr<MT1,MT2> >
974 :
public And< IsLower<MT1>, IsLower<MT2> >
990 template<
typename MT1,
typename MT2 >
991 struct IsUniLower< TSMatTSMatAddExpr<MT1,MT2> >
992 :
public Or< And< IsUniLower<MT1>, IsStrictlyLower<MT2> >
993 , And< IsUniLower<MT2>, IsStrictlyLower<MT1> > >
1009 template<
typename MT1,
typename MT2 >
1011 :
public And< IsStrictlyLower<MT1>, IsStrictlyLower<MT2> >
1027 template<
typename MT1,
typename MT2 >
1028 struct IsUpper< TSMatTSMatAddExpr<MT1,MT2> >
1029 :
public And< IsUpper<MT1>, IsUpper<MT2> >
1045 template<
typename MT1,
typename MT2 >
1046 struct IsUniUpper< TSMatTSMatAddExpr<MT1,MT2> >
1047 :
public Or< And< IsUniUpper<MT1>, IsStrictlyUpper<MT2> >
1048 , And< IsUniUpper<MT2>, IsStrictlyUpper<MT1> > >
1064 template<
typename MT1,
typename MT2 >
1066 :
public And< IsStrictlyUpper<MT1>, IsStrictlyUpper<MT2> >
CompositeType_< MT2 > CT2
Composite type of the right-hand side sparse matrix expression.
Definition: TSMatTSMatAddExpr.h:112
#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.
size_t nonZeros(size_t i) const
Returns the number of non-zero elements in the specified row.
Definition: TSMatTSMatAddExpr.h:267
const IfTrue_< returnExpr, ExprReturnType, ElementType > ReturnType
Return type for expression template evaluations.
Definition: TSMatTSMatAddExpr.h:166
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.
AddTrait_< RT1, RT2 > ResultType
Result type for expression template evaluations.
Definition: TSMatTSMatAddExpr.h:160
LeftOperand lhs_
Left-hand side sparse matrix of the addition expression.
Definition: TSMatTSMatAddExpr.h:318
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
If_< IsExpression< MT1 >, const MT1, const MT1 &> LeftOperand
Composite type of the left-hand side sparse matrix expression.
Definition: TSMatTSMatAddExpr.h:172
Header file for the AddExprTrait class template.
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.
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
TSMatTSMatAddExpr(const MT1 &lhs, const MT2 &rhs) noexcept
Constructor for the TSMatTSMatAddExpr class.
Definition: TSMatTSMatAddExpr.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
size_t nonZeros() const
Returns the number of non-zero elements in the sparse matrix.
Definition: TSMatTSMatAddExpr.h:256
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.
ElementType_< ResultType > ElementType
Resulting element type.
Definition: TSMatTSMatAddExpr.h:163
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
If_< IsExpression< MT2 >, const MT2, const MT2 &> RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: TSMatTSMatAddExpr.h:175
const ResultType CompositeType
Data type for composite expression templates.
Definition: TSMatTSMatAddExpr.h:169
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
CompositeType_< MT1 > CT1
Composite type of the left-hand side sparse matrix expression.
Definition: TSMatTSMatAddExpr.h:111
Namespace of the Blaze C++ math library.
Definition: Blaze.h:58
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: TSMatTSMatAddExpr.h:299
Header file for the If class template.
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: TSMatTSMatAddExpr.h:246
#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 transpose sparse matrix-transpose sparse matrix additions.The TSMatTSMatAddExpr...
Definition: Forward.h:169
RightOperand rhs_
Right-hand side sparse matrix of the addition expression.
Definition: TSMatTSMatAddExpr.h:319
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
typename T::ElementType ElementType_
Alias declaration for nested ElementType type definitions.The ElementType_ alias declaration provides...
Definition: Aliases.h:163
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: TSMatTSMatAddExpr.h:311
ReturnType_< MT2 > RN2
Return type of the right-hand side sparse matrix expression.
Definition: TSMatTSMatAddExpr.h:110
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
OppositeType_< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: TSMatTSMatAddExpr.h:161
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.
ReturnType_< MT1 > RN1
Return type of the left-hand side sparse matrix expression.
Definition: TSMatTSMatAddExpr.h:109
Header file for the EnableIf class template.
Header file for the IsStrictlyLower type trait.
AddExprTrait_< RN1, RN2 > ExprReturnType
Expression return type for the subscript operator.
Definition: TSMatTSMatAddExpr.h:125
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.
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.
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: TSMatTSMatAddExpr.h:236
#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.
ResultType_< MT2 > RT2
Result type of the right-hand side sparse matrix expression.
Definition: TSMatTSMatAddExpr.h:108
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 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
Header file for the IsComputation type trait class.
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: TSMatTSMatAddExpr.h:205
Compile time logical 'or' evaluation.The Or alias declaration performs at compile time a logical 'or'...
Definition: Or.h:76
Compile time evaluation of the size of vectors and matrices.The Size type trait evaluates the size of...
Definition: Size.h:80
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: TSMatTSMatAddExpr.h:162
Compile time logical 'and' evaluation.The And alias declaration performs at compile time a logical 'a...
Definition: And.h:76
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: TSMatTSMatAddExpr.h:220
bool isDefault(const DiagonalProxy< MT > &proxy)
Returns whether the represented element is in default state.
Definition: DiagonalProxy.h:628
RightOperand rightOperand() const noexcept
Returns the right-hand side transpose sparse matrix operand.
Definition: TSMatTSMatAddExpr.h:287
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 transpose sparse matrix operand.
Definition: TSMatTSMatAddExpr.h:277
Header file for the IsHermitian type trait.
ResultType_< MT1 > RT1
Result type of the left-hand side sparse matrix expression.
Definition: TSMatTSMatAddExpr.h:107
Header file for the IsResizable type trait.
Header file for the Size type trait.
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.