35 #ifndef _BLAZE_MATH_EXPRESSIONS_TSMATTSMATADDEXPR_H_ 36 #define _BLAZE_MATH_EXPRESSIONS_TSMATTSMATADDEXPR_H_ 101 template<
typename MT1
103 class TSMatTSMatAddExpr
104 :
public MatMatAddExpr< SparseMatrix< TSMatTSMatAddExpr<MT1,MT2>, true > >
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 ) );
337 template<
typename MT
348 assign( ~lhs, rhs.lhs_ );
351 addAssign( ~lhs, rhs.rhs_ );
362 for(
size_t j=0UL; j<(~lhs).
columns(); ++j ) {
363 const RightIterator
end( B.end(j) );
364 for( RightIterator element=B.begin(j); element!=
end; ++element ) {
365 if(
isDefault( (~lhs)(element->index(),j) ) )
366 (~lhs)(element->index(),j) = element->value();
368 (~lhs)(element->index(),j) += element->value();
389 template<
typename MT >
413 const size_t m( rhs.rows() );
414 const size_t n( rhs.columns() );
417 std::vector<size_t> nonzeros( m, 0UL );
418 for(
size_t j=0UL; j<n; ++j )
420 const LeftIterator lend( A.end(j) );
421 const RightIterator rend( B.end(j) );
423 LeftIterator l( A.begin(j) );
424 RightIterator r( B.begin(j) );
426 while( l != lend && r != rend )
428 if( l->index() < r->index() ) {
429 ++nonzeros[l->index()];
432 else if( l->index() > r->index() ) {
433 ++nonzeros[r->index()];
437 ++nonzeros[l->index()];
444 ++nonzeros[l->index()];
449 ++nonzeros[r->index()];
455 for(
size_t i=0UL; i<m; ++i ) {
456 (~lhs).reserve( i, nonzeros[i] );
460 for(
size_t j=0UL; j<n; ++j )
462 const LeftIterator lend( A.end(j) );
463 const RightIterator rend( B.end(j) );
465 LeftIterator l( A.begin(j) );
466 RightIterator r( B.begin(j) );
468 while( l != lend && r != rend )
470 if( l->index() < r->index() ) {
471 (~lhs).append( l->index(), j, l->value() );
474 else if( l->index() > r->index() ) {
475 (~lhs).append( r->index(), j, r->value() );
479 (~lhs).append( l->index(), j, l->value() + r->value() );
486 (~lhs).append( l->index(), j, l->value() );
491 (~lhs).append( r->index(), j, r->value() );
512 template<
typename MT >
523 assign( ~lhs,
trans( rhs.lhs_ ) +
trans( rhs.rhs_ ) );
541 template<
typename MT >
563 (~lhs).reserve( A.nonZeros() + B.nonZeros() );
566 for(
size_t j=0UL; j<(~lhs).
columns(); ++j )
568 const LeftIterator lend( A.end(j) );
569 const RightIterator rend( B.end(j) );
571 LeftIterator l( A.begin(j) );
572 RightIterator r( B.begin(j) );
574 while( l != lend && r != rend )
576 if( l->index() < r->index() ) {
577 (~lhs).append( l->index(), j, l->value() );
580 else if( l->index() > r->index() ) {
581 (~lhs).append( r->index(), j, r->value() );
585 (~lhs).append( l->index(), j, l->value() + r->value() );
592 (~lhs).append( l->index(), j, l->value() );
597 (~lhs).append( r->index(), j, r->value() );
601 (~lhs).finalize( j );
620 template<
typename MT
629 addAssign( ~lhs, rhs.lhs_ );
630 addAssign( ~lhs, rhs.rhs_ );
652 template<
typename MT
661 subAssign( ~lhs, rhs.lhs_ );
662 subAssign( ~lhs, rhs.rhs_ );
684 template<
typename MT
698 schurAssign( ~lhs, tmp );
738 template<
typename MT
773 template<
typename MT
809 template<
typename MT
888 template<
typename MT1
890 inline decltype(
auto)
915 template<
typename MT1,
typename MT2 >
916 struct Rows< TSMatTSMatAddExpr<MT1,MT2> >
917 :
public Maximum< Rows<MT1>, Rows<MT2> >
933 template<
typename MT1,
typename MT2 >
934 struct Columns< TSMatTSMatAddExpr<MT1,MT2> >
935 :
public Maximum< Columns<MT1>, Columns<MT2> >
951 template<
typename MT1,
typename MT2 >
953 :
public BoolConstant< IsSymmetric<MT1>::value && IsSymmetric<MT2>::value >
969 template<
typename MT1,
typename MT2 >
971 :
public BoolConstant< IsHermitian<MT1>::value && IsHermitian<MT2>::value >
987 template<
typename MT1,
typename MT2 >
988 struct IsLower< TSMatTSMatAddExpr<MT1,MT2> >
989 :
public BoolConstant< And< IsLower<MT1>, IsLower<MT2> >::value >
1005 template<
typename MT1,
typename MT2 >
1006 struct IsUniLower< TSMatTSMatAddExpr<MT1,MT2> >
1007 :
public BoolConstant< Or< And< IsUniLower<MT1>, IsStrictlyLower<MT2> >
1008 , And< IsUniLower<MT2>, IsStrictlyLower<MT1> > >::value >
1024 template<
typename MT1,
typename MT2 >
1026 :
public BoolConstant< And< IsStrictlyLower<MT1>, IsStrictlyLower<MT2> >::value >
1042 template<
typename MT1,
typename MT2 >
1043 struct IsUpper< TSMatTSMatAddExpr<MT1,MT2> >
1044 :
public BoolConstant< And< IsUpper<MT1>, IsUpper<MT2> >::value >
1060 template<
typename MT1,
typename MT2 >
1061 struct IsUniUpper< TSMatTSMatAddExpr<MT1,MT2> >
1062 :
public BoolConstant< Or< And< IsUniUpper<MT1>, IsStrictlyUpper<MT2> >
1063 , And< IsUniUpper<MT2>, IsStrictlyUpper<MT1> > >::value >
1079 template<
typename MT1,
typename MT2 >
1081 :
public BoolConstant< And< IsStrictlyUpper<MT1>, IsStrictlyUpper<MT2> >::value >
CompositeType_< MT2 > CT2
Composite type of the right-hand side sparse matrix expression.
Definition: TSMatTSMatAddExpr.h:114
#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:269
const IfTrue_< returnExpr, ExprReturnType, ElementType > ReturnType
Return type for expression template evaluations.
Definition: TSMatTSMatAddExpr.h:168
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.
AddTrait_< RT1, RT2 > ResultType
Result type for expression template evaluations.
Definition: TSMatTSMatAddExpr.h:162
Generic wrapper for a compile time constant integral value.The IntegralConstant class template repres...
Definition: IntegralConstant.h:71
LeftOperand lhs_
Left-hand side sparse matrix of the addition expression.
Definition: TSMatTSMatAddExpr.h:320
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
If_< IsExpression< MT1 >, const MT1, const MT1 &> LeftOperand
Composite type of the left-hand side sparse matrix expression.
Definition: TSMatTSMatAddExpr.h:174
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: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
TSMatTSMatAddExpr(const MT1 &lhs, const MT2 &rhs) noexcept
Constructor for the TSMatTSMatAddExpr class.
Definition: TSMatTSMatAddExpr.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
size_t nonZeros() const
Returns the number of non-zero elements in the sparse matrix.
Definition: TSMatTSMatAddExpr.h:258
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:165
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:177
const ResultType CompositeType
Data type for composite expression templates.
Definition: TSMatTSMatAddExpr.h:171
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:113
Namespace of the Blaze C++ math library.
Definition: Blaze.h:57
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: TSMatTSMatAddExpr.h:301
Header file for the If class template.
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: TSMatTSMatAddExpr.h:248
#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:321
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
Header file for the Columns type trait.
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:313
ReturnType_< MT2 > RN2
Return type of the right-hand side sparse matrix expression.
Definition: TSMatTSMatAddExpr.h:112
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:163
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.
ReturnType_< MT1 > RN1
Return type of the left-hand side sparse matrix expression.
Definition: TSMatTSMatAddExpr.h:111
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:127
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:238
#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:110
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
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
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:207
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: TSMatTSMatAddExpr.h:164
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
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: TSMatTSMatAddExpr.h:222
bool isDefault(const DiagonalProxy< MT > &proxy)
Returns whether the represented element is in default state.
Definition: DiagonalProxy.h:600
RightOperand rightOperand() const noexcept
Returns the right-hand side transpose sparse matrix operand.
Definition: TSMatTSMatAddExpr.h:289
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:279
Header file for the IsHermitian type trait.
ResultType_< MT1 > RT1
Result type of the left-hand side sparse matrix expression.
Definition: TSMatTSMatAddExpr.h:109
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.