35 #ifndef _BLAZE_MATH_EXPRESSIONS_SMATTSMATSUBEXPR_H_ 36 #define _BLAZE_MATH_EXPRESSIONS_SMATTSMATSUBEXPR_H_ 99 template<
typename MT1
101 class SMatTSMatSubExpr
102 :
public MatMatSubExpr< SparseMatrix< SMatTSMatSubExpr<MT1,MT2>, false > >
103 ,
private Computation
136 template<
typename T1,
typename T2 >
137 struct UseSymmetricKernel {
151 template<
typename MT >
152 struct UseSMPAssign {
153 enum :
bool { value = MT::smpAssignable };
181 enum :
bool { smpAssignable =
false };
222 if( i >=
lhs_.rows() ) {
225 if( j >=
lhs_.columns() ) {
237 inline size_t rows() const noexcept {
248 return lhs_.columns();
258 return lhs_.nonZeros() +
rhs_.nonZeros();
269 return lhs_.nonZeros(i) +
rhs_.nonZeros(i);
299 template<
typename T >
300 inline bool canAlias(
const T* alias )
const noexcept {
301 return (
lhs_.canAlias( alias ) ||
rhs_.canAlias( alias ) );
311 template<
typename T >
312 inline bool isAliased(
const T* alias )
const noexcept {
313 return (
lhs_.isAliased( alias ) ||
rhs_.isAliased( alias ) );
335 template<
typename MT
346 assign( ~lhs, rhs.lhs_ );
349 subAssign( ~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 >
413 (~lhs).reserve( A.nonZeros() + B.nonZeros() );
416 for(
size_t i=0UL; i<(~lhs).
rows(); ++i )
418 const LeftIterator lend( A.end(i) );
419 const RightIterator rend( B.end(i) );
421 LeftIterator l( A.begin(i) );
422 RightIterator r( B.begin(i) );
424 while( l != lend && r != rend )
426 if( l->index() < r->index() ) {
427 (~lhs).append( i, l->index(), l->value() );
430 else if( l->index() > r->index() ) {
431 (~lhs).append( i, r->index(), -r->value() );
435 (~lhs).append( i, l->index(), l->value() - r->value() );
442 (~lhs).append( i, l->index(), l->value() );
447 (~lhs).append( i, r->index(), -r->value() );
451 (~lhs).finalize( i );
470 template<
typename MT >
479 assign( ~lhs, rhs.lhs_ -
trans( rhs.rhs_ ) );
497 template<
typename MT >
525 (~lhs).reserve( A.nonZeros() + B.nonZeros() );
528 for(
size_t j=0UL; j<(~lhs).
columns(); ++j )
530 const LeftIterator lend( A.end(j) );
531 const RightIterator rend( B.end(j) );
533 LeftIterator l( A.begin(j) );
534 RightIterator r( B.begin(j) );
536 while( l != lend && r != rend )
538 if( l->index() < r->index() ) {
539 (~lhs).append( l->index(), j, l->value() );
542 else if( l->index() > r->index() ) {
543 (~lhs).append( r->index(), j, -r->value() );
547 (~lhs).append( l->index(), j, l->value() - r->value() );
554 (~lhs).append( l->index(), j, l->value() );
559 (~lhs).append( r->index(), j, -r->value() );
563 (~lhs).finalize( j );
582 template<
typename MT >
593 assign( ~lhs,
trans( rhs.lhs_ ) - rhs.rhs_ );
611 template<
typename MT
620 addAssign( ~lhs, rhs.lhs_ );
621 subAssign( ~lhs, rhs.rhs_ );
643 template<
typename MT
652 subAssign( ~lhs, rhs.lhs_ );
653 addAssign( ~lhs, rhs.rhs_ );
675 template<
typename MT
689 schurAssign( ~lhs, tmp );
729 template<
typename MT
764 template<
typename MT
799 template<
typename MT
881 template<
typename MT1
883 inline decltype(
auto)
908 template<
typename MT1,
typename MT2 >
909 struct Size< SMatTSMatSubExpr<MT1,MT2>, 0UL >
910 :
public Maximum< Size<MT1,0UL>, Size<MT2,0UL> >
913 template<
typename MT1,
typename MT2 >
914 struct Size< SMatTSMatSubExpr<MT1,MT2>, 1UL >
915 :
public Maximum< Size<MT1,1UL>, Size<MT2,1UL> >
931 template<
typename MT1,
typename MT2 >
933 :
public And< IsSymmetric<MT1>, IsSymmetric<MT2> >
949 template<
typename MT1,
typename MT2 >
951 :
public And< IsHermitian<MT1>, IsHermitian<MT2> >
967 template<
typename MT1,
typename MT2 >
968 struct IsLower< SMatTSMatSubExpr<MT1,MT2> >
969 :
public And< IsLower<MT1>, IsLower<MT2> >
985 template<
typename MT1,
typename MT2 >
986 struct IsUniLower< SMatTSMatSubExpr<MT1,MT2> >
987 :
public And< IsUniLower<MT1>, IsStrictlyLower<MT2> >
1003 template<
typename MT1,
typename MT2 >
1005 :
public And< IsStrictlyLower<MT1>, IsStrictlyLower<MT2> >
1021 template<
typename MT1,
typename MT2 >
1022 struct IsUpper< SMatTSMatSubExpr<MT1,MT2> >
1023 :
public And< IsUpper<MT1>, IsUpper<MT2> >
1039 template<
typename MT1,
typename MT2 >
1040 struct IsUniUpper< SMatTSMatSubExpr<MT1,MT2> >
1041 :
public And< IsUniUpper<MT1>, IsStrictlyUpper<MT2> >
1057 template<
typename MT1,
typename MT2 >
1059 :
public And< IsStrictlyUpper<MT1>, IsStrictlyUpper<MT2> >
Constraint on the data type.
#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
RightOperand rightOperand() const noexcept
Returns the right-hand side transpose sparse matrix operand.
Definition: SMatTSMatSubExpr.h:288
Header file for auxiliary alias declarations.
LeftOperand leftOperand() const noexcept
Returns the left-hand side sparse matrix operand.
Definition: SMatTSMatSubExpr.h:278
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 the subtraction trait.
Header file for basic type definitions.
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: SMatTSMatSubExpr.h:312
ReturnType_< MT1 > RN1
Return type of the left-hand side sparse matrix expression.
Definition: SMatTSMatSubExpr.h:109
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.
size_t nonZeros() const
Returns the number of non-zero elements in the sparse matrix.
Definition: SMatTSMatSubExpr.h:257
CompositeType_< MT2 > CT2
Composite type of the right-hand side sparse matrix expression.
Definition: SMatTSMatSubExpr.h:112
LeftOperand lhs_
Left-hand side sparse matrix of the subtraction expression.
Definition: SMatTSMatSubExpr.h:319
ElementType_< ResultType > ElementType
Resulting element type.
Definition: SMatTSMatSubExpr.h:164
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 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.
const ResultType CompositeType
Data type for composite expression templates.
Definition: SMatTSMatSubExpr.h:170
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: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
Header file for the SparseMatrix base class.
ReturnType_< MT2 > RN2
Return type of the right-hand side sparse matrix expression.
Definition: SMatTSMatSubExpr.h:110
typename SubExprTrait< T1, T2 >::Type SubExprTrait_
Auxiliary alias declaration for the SubExprTrait class template.The SubExprTrait_ alias declaration p...
Definition: SubExprTrait.h:112
Constraint on the data type.
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: SMatTSMatSubExpr.h:221
Header file for the Maximum class template.
OppositeType_< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: SMatTSMatSubExpr.h:162
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< MT1 >, const MT1, const MT1 &> LeftOperand
Composite type of the left-hand side sparse matrix expression.
Definition: SMatTSMatSubExpr.h:173
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: SMatTSMatSubExpr.h:247
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.
Namespace of the Blaze C++ math library.
Definition: Blaze.h:58
Header file for the If class template.
size_t nonZeros(size_t i) const
Returns the number of non-zero elements in the specified row.
Definition: SMatTSMatSubExpr.h:268
const IfTrue_< returnExpr, ExprReturnType, ElementType > ReturnType
Return type for expression template evaluations.
Definition: SMatTSMatSubExpr.h:167
#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 sparse matrix-transpose sparse matrix subtractions.The SMatTSMatSubExpr class r...
Definition: Forward.h:128
#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
Header file for the MatMatSubExpr base class.
Header file for the IsLower type trait.
CompositeType_< MT1 > CT1
Composite type of the left-hand side sparse matrix expression.
Definition: SMatTSMatSubExpr.h:111
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:430
ResultType_< MT1 > RT1
Result type of the left-hand side sparse matrix expression.
Definition: SMatTSMatSubExpr.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.
#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
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: SMatTSMatSubExpr.h:206
#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.
ResultType_< MT2 > RT2
Result type of the right-hand side sparse matrix expression.
Definition: SMatTSMatSubExpr.h:108
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
SubTrait_< RT1, RT2 > ResultType
Result type for expression template evaluations.
Definition: SMatTSMatSubExpr.h:161
#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.
SubExprTrait_< RN1, RN2 > ExprReturnType
Expression return type for the subscript operator.
Definition: SMatTSMatSubExpr.h:125
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 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
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: SMatTSMatSubExpr.h:163
Header file for the IsComputation type trait class.
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: SMatTSMatSubExpr.h:300
typename SubTrait< T1, T2 >::Type SubTrait_
Auxiliary alias declaration for the SubTrait class template.The SubTrait_ alias declaration provides ...
Definition: SubTrait.h:291
Compile time evaluation of the size of vectors and matrices.The Size type trait evaluates the size of...
Definition: Size.h:80
If_< IsExpression< MT2 >, const MT2, const MT2 &> RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: SMatTSMatSubExpr.h:176
SMatTSMatSubExpr(const MT1 &lhs, const MT2 &rhs) noexcept
Constructor for the SMatTSMatSubExpr class.
Definition: SMatTSMatSubExpr.h:190
RightOperand rhs_
Right-hand side sparse matrix of the subtraction expression.
Definition: SMatTSMatSubExpr.h:320
Compile time logical 'and' evaluation.The And alias declaration performs at compile time a logical 'a...
Definition: And.h:76
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: SMatTSMatSubExpr.h:237
#define BLAZE_CONSTRAINT_MUST_FORM_VALID_MATMATSUBEXPR(T1, T2)
Constraint on the data type.In case the given data types T1 and T2 do not form a valid matrix/matrix ...
Definition: MatMatSubExpr.h:107
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 SubExprTrait class template.
Header file for the Size type trait.
#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.