35 #ifndef _BLAZE_MATH_EXPRESSIONS_SMATSMATSUBEXPR_H_ 36 #define _BLAZE_MATH_EXPRESSIONS_SMATSMATSUBEXPR_H_ 100 template<
typename MT1
102 class SMatSMatSubExpr
103 :
public MatMatSubExpr< SparseMatrix< SMatSMatSubExpr<MT1,MT2>, false > >
104 ,
private Computation
136 template<
typename T1,
typename T2,
typename T3 >
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 i=0UL; i<(~lhs).
rows(); ++i ) {
361 const RightIterator
end( B.end(i) );
362 for( RightIterator element=B.begin(i); element!=
end; ++element ) {
363 if(
isDefault( (~lhs)(i,element->index()) ) )
364 (~lhs)(i,element->index()) = -element->value();
366 (~lhs)(i,element->index()) -= element->value();
386 template<
typename MT >
408 (~lhs).reserve( A.nonZeros() + B.nonZeros() );
411 for(
size_t i=0UL; i<(~lhs).
rows(); ++i )
413 const LeftIterator lend( A.end(i) );
414 const RightIterator rend( B.end(i) );
416 LeftIterator l( A.begin(i) );
417 RightIterator r( B.begin(i) );
419 while( l != lend && r != rend )
421 if( l->index() < r->index() ) {
422 (~lhs).append( i, l->index(), l->value() );
425 else if( l->index() > r->index() ) {
426 (~lhs).append( i, r->index(), -r->value() );
430 (~lhs).append( i, l->index(), l->value() - r->value() );
437 (~lhs).append( i, l->index(), l->value() );
442 (~lhs).append( i, r->index(), -r->value() );
446 (~lhs).finalize( i );
464 template<
typename MT >
488 const size_t m( rhs.rows() );
489 const size_t n( rhs.columns() );
492 std::vector<size_t> nonzeros( n, 0UL );
493 for(
size_t i=0UL; i<m; ++i )
495 const LeftIterator lend( A.end(i) );
496 const RightIterator rend( B.end(i) );
498 LeftIterator l( A.begin(i) );
499 RightIterator r( B.begin(i) );
501 while( l != lend && r != rend )
503 if( l->index() < r->index() ) {
504 ++nonzeros[l->index()];
507 else if( l->index() > r->index() ) {
508 ++nonzeros[r->index()];
512 ++nonzeros[l->index()];
519 ++nonzeros[l->index()];
524 ++nonzeros[r->index()];
530 for(
size_t j=0UL; j<n; ++j ) {
531 (~lhs).reserve( j, nonzeros[j] );
535 for(
size_t i=0UL; i<m; ++i )
537 const LeftIterator lend( A.end(i) );
538 const RightIterator rend( B.end(i) );
540 LeftIterator l( A.begin(i) );
541 RightIterator r( B.begin(i) );
543 while( l != lend && r != rend )
545 if( l->index() < r->index() ) {
546 (~lhs).append( i, l->index(), l->value() );
549 else if( l->index() > r->index() ) {
550 (~lhs).append( i, r->index(), -r->value() );
554 (~lhs).append( i, l->index(), l->value() - r->value() );
561 (~lhs).append( i, l->index(), l->value() );
566 (~lhs).append( i, r->index(), -r->value() );
586 template<
typename MT >
597 assign( ~lhs,
trans( rhs.lhs_ ) -
trans( rhs.rhs_ ) );
614 template<
typename MT
623 addAssign( ~lhs, rhs.lhs_ );
624 subAssign( ~lhs, rhs.rhs_ );
645 template<
typename MT
654 subAssign( ~lhs, rhs.lhs_ );
655 addAssign( ~lhs, rhs.rhs_ );
677 template<
typename MT
691 schurAssign( ~lhs, tmp );
730 template<
typename MT
765 template<
typename MT
800 template<
typename MT
879 template<
typename MT1
881 inline decltype(
auto)
906 template<
typename MT1,
typename MT2 >
907 struct Rows< SMatSMatSubExpr<MT1,MT2> >
908 :
public Maximum< Rows<MT1>, Rows<MT2> >
924 template<
typename MT1,
typename MT2 >
925 struct Columns< SMatSMatSubExpr<MT1,MT2> >
926 :
public Maximum< Columns<MT1>, Columns<MT2> >
942 template<
typename MT1,
typename MT2 >
944 :
public BoolConstant< IsSymmetric<MT1>::value && IsSymmetric<MT2>::value >
960 template<
typename MT1,
typename MT2 >
962 :
public BoolConstant< IsHermitian<MT1>::value && IsHermitian<MT2>::value >
978 template<
typename MT1,
typename MT2 >
979 struct IsLower< SMatSMatSubExpr<MT1,MT2> >
980 :
public BoolConstant< And< IsLower<MT1>, IsLower<MT2> >::value >
996 template<
typename MT1,
typename MT2 >
998 :
public BoolConstant< And< IsUniLower<MT1>, IsStrictlyLower<MT2> >::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< SMatSMatSubExpr<MT1,MT2> >
1034 :
public BoolConstant< And< IsUpper<MT1>, IsUpper<MT2> >::value >
1050 template<
typename MT1,
typename MT2 >
1051 struct IsUniUpper< SMatSMatSubExpr<MT1,MT2> >
1052 :
public BoolConstant< And< IsUniUpper<MT1>, IsStrictlyUpper<MT2> >::value >
1068 template<
typename MT1,
typename MT2 >
1070 :
public BoolConstant< And< IsStrictlyUpper<MT1>, IsStrictlyUpper<MT2> >::value >
If_< IsExpression< MT2 >, const MT2, const MT2 &> RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: SMatSMatSubExpr.h:176
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: SMatSMatSubExpr.h:237
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
Header file for auxiliary alias declarations.
ResultType_< MT2 > RT2
Result type of the right-hand side sparse matrix expression.
Definition: SMatSMatSubExpr.h:109
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 the subtraction trait.
Header file for basic type definitions.
SubTrait_< RT1, RT2 > ResultType
Result type for expression template evaluations.
Definition: SMatSMatSubExpr.h:161
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
ReturnType_< MT1 > RN1
ReturnType type of the left-hand side sparse matrix expression.
Definition: SMatSMatSubExpr.h:110
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: SMatSMatSubExpr.h:312
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: SMatSMatSubExpr.h:247
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
const ResultType CompositeType
Data type for composite expression templates.
Definition: SMatSMatSubExpr.h:170
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.
size_t nonZeros(size_t i) const
Returns the number of non-zero elements in the specified row.
Definition: SMatSMatSubExpr.h:268
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
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
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: SMatSMatSubExpr.h:221
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.
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.
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.
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
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: SMatSMatSubExpr.h:300
ResultType_< MT1 > RT1
Result type of the left-hand side sparse matrix expression.
Definition: SMatSMatSubExpr.h:108
#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
CompositeType_< MT2 > CT2
Composite type of the right-hand side sparse matrix expression.
Definition: SMatSMatSubExpr.h:113
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
Header file for the MatMatSubExpr base class.
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
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
LeftOperand lhs_
Left-hand side sparse matrix of the subtraction expression.
Definition: SMatSMatSubExpr.h:319
const IfTrue_< returnExpr, ExprReturnType, ElementType > ReturnType
Return type for expression template evaluations.
Definition: SMatSMatSubExpr.h:167
Constraint on the data type.
Header file for all forward declarations for expression class templates.
SubExprTrait_< RN1, RN2 > ExprReturnType
Expression return type for the subscript operator.
Definition: SMatSMatSubExpr.h:126
Header file for the EnableIf class template.
Header file for the IsStrictlyLower type trait.
ReturnType_< MT2 > RN2
ReturnType type of the right-hand side sparse matrix expression.
Definition: SMatSMatSubExpr.h:111
Compile time check for lower unitriangular matrices.This type trait tests whether or not the given te...
Definition: IsUniLower.h:86
CompositeType_< MT1 > CT1
Composite type of the left-hand side sparse matrix expression.
Definition: SMatSMatSubExpr.h:112
Compile time check for resizable data types.This type trait tests whether the given data type is a re...
Definition: IsResizable.h:75
OppositeType_< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: SMatSMatSubExpr.h:162
#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
If_< IsExpression< MT1 >, const MT1, const MT1 &> LeftOperand
Composite type of the left-hand side sparse matrix expression.
Definition: SMatSMatSubExpr.h:173
Header file for run time assertion macros.
ElementType_< ResultType > ElementType
Resulting element type.
Definition: SMatSMatSubExpr.h:164
Expression object for sparse matrix-sparse matrix subtractions.The SMatSMatSubExpr class represents t...
Definition: Forward.h:119
RightOperand rhs_
Right-hand side sparse matrix of the subtraction expression.
Definition: SMatSMatSubExpr.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
RightOperand rightOperand() const noexcept
Returns the right-hand side sparse matrix operand.
Definition: SMatSMatSubExpr.h:288
#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: SMatSMatSubExpr.h:206
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
#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
LeftOperand leftOperand() const noexcept
Returns the left-hand side sparse matrix operand.
Definition: SMatSMatSubExpr.h:278
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.
size_t nonZeros() const
Returns the number of non-zero elements in the sparse matrix.
Definition: SMatSMatSubExpr.h:257
typename SubTrait< T1, T2 >::Type SubTrait_
Auxiliary alias declaration for the SubTrait class template.The SubTrait_ alias declaration provides ...
Definition: SubTrait.h:250
SMatSMatSubExpr(const MT1 &lhs, const MT2 &rhs) noexcept
Constructor for the SMatSMatSubExpr class.
Definition: SMatSMatSubExpr.h:190
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
#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:108
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.
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: SMatSMatSubExpr.h:163
Header file for the IsHermitian type trait.
Header file for the IsResizable type trait.
Header file for the SubExprTrait class template.
#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.