35 #ifndef _BLAZE_MATH_EXPRESSIONS_TSMATSMATSUBEXPR_H_ 36 #define _BLAZE_MATH_EXPRESSIONS_TSMATSMATSUBEXPR_H_ 101 template<
typename MT1
103 class TSMatSMatSubExpr
104 :
public MatMatSubExpr< SparseMatrix< TSMatSMatSubExpr<MT1,MT2>, false > >
105 ,
private Computation
138 template<
typename T1,
typename T2 >
139 struct UseSymmetricKernel {
153 template<
typename MT >
154 struct UseSMPAssign {
155 enum :
bool { value = MT::smpAssignable };
183 enum :
bool { smpAssignable =
false };
224 if( i >=
lhs_.rows() ) {
227 if( j >=
lhs_.columns() ) {
239 inline size_t rows() const noexcept {
250 return lhs_.columns();
260 return lhs_.nonZeros() +
rhs_.nonZeros();
271 return lhs_.nonZeros(i) +
rhs_.nonZeros(i);
301 template<
typename T >
302 inline bool canAlias(
const T* alias )
const noexcept {
303 return (
lhs_.canAlias( alias ) ||
rhs_.canAlias( alias ) );
313 template<
typename T >
314 inline bool isAliased(
const T* alias )
const noexcept {
315 return (
lhs_.isAliased( alias ) ||
rhs_.isAliased( alias ) );
337 template<
typename MT
348 assign( ~lhs, rhs.lhs_ );
351 subAssign( ~lhs, rhs.rhs_ );
362 for(
size_t i=0UL; i<(~lhs).
rows(); ++i ) {
363 const RightIterator
end( B.end(i) );
364 for( RightIterator element=B.begin(i); element!=
end; ++element ) {
365 if(
isDefault( (~lhs)(i,element->index()) ) )
366 (~lhs)(i,element->index()) = -element->value();
368 (~lhs)(i,element->index()) -= element->value();
389 template<
typename MT >
415 (~lhs).reserve( A.nonZeros() + B.nonZeros() );
418 for(
size_t i=0UL; i<(~lhs).
rows(); ++i )
420 const LeftIterator lend( A.end(i) );
421 const RightIterator rend( B.end(i) );
423 LeftIterator l( A.begin(i) );
424 RightIterator r( B.begin(i) );
426 while( l != lend && r != rend )
428 if( l->index() < r->index() ) {
429 (~lhs).append( i, l->index(), l->value() );
432 else if( l->index() > r->index() ) {
433 (~lhs).append( i, r->index(), -r->value() );
437 (~lhs).append( i, l->index(), l->value() - r->value() );
444 (~lhs).append( i, l->index(), l->value() );
449 (~lhs).append( i, r->index(), -r->value() );
453 (~lhs).finalize( i );
472 template<
typename MT >
481 assign( ~lhs,
trans( rhs.lhs_ ) - rhs.rhs_ );
499 template<
typename MT >
527 (~lhs).reserve( A.nonZeros() + B.nonZeros() );
530 for(
size_t j=0UL; j<(~lhs).
columns(); ++j )
532 const LeftIterator lend( A.end(j) );
533 const RightIterator rend( B.end(j) );
535 LeftIterator l( A.begin(j) );
536 RightIterator r( B.begin(j) );
538 while( l != lend && r != rend )
540 if( l->index() < r->index() ) {
541 (~lhs).append( l->index(), j, l->value() );
544 else if( l->index() > r->index() ) {
545 (~lhs).append( r->index(), j, -r->value() );
549 (~lhs).append( l->index(), j, l->value() - r->value() );
556 (~lhs).append( l->index(), j, l->value() );
561 (~lhs).append( r->index(), j, -r->value() );
565 (~lhs).finalize( j );
584 template<
typename MT >
595 assign( ~lhs, rhs.lhs_ -
trans( rhs.rhs_ ) );
613 template<
typename MT
622 addAssign( ~lhs, rhs.lhs_ );
623 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 );
731 template<
typename MT
766 template<
typename MT
801 template<
typename MT
883 template<
typename MT1
885 inline decltype(
auto)
910 template<
typename MT1,
typename MT2 >
911 struct Rows< TSMatSMatSubExpr<MT1,MT2> >
912 :
public Maximum< Rows<MT1>, Rows<MT2> >
928 template<
typename MT1,
typename MT2 >
929 struct Columns< TSMatSMatSubExpr<MT1,MT2> >
930 :
public Maximum< Columns<MT1>, Columns<MT2> >
946 template<
typename MT1,
typename MT2 >
948 :
public BoolConstant< IsSymmetric<MT1>::value && IsSymmetric<MT2>::value >
964 template<
typename MT1,
typename MT2 >
966 :
public BoolConstant< IsHermitian<MT1>::value && IsHermitian<MT2>::value >
982 template<
typename MT1,
typename MT2 >
983 struct IsLower< TSMatSMatSubExpr<MT1,MT2> >
984 :
public BoolConstant< And< IsLower<MT1>, IsLower<MT2> >::value >
1000 template<
typename MT1,
typename MT2 >
1001 struct IsUniLower< TSMatSMatSubExpr<MT1,MT2> >
1002 :
public BoolConstant< And< IsUniLower<MT1>, IsStrictlyLower<MT2> >::value >
1018 template<
typename MT1,
typename MT2 >
1020 :
public BoolConstant< And< IsStrictlyLower<MT1>, IsStrictlyLower<MT2> >::value >
1036 template<
typename MT1,
typename MT2 >
1037 struct IsUpper< TSMatSMatSubExpr<MT1,MT2> >
1038 :
public BoolConstant< And< IsUpper<MT1>, IsUpper<MT2> >::value >
1054 template<
typename MT1,
typename MT2 >
1055 struct IsUniUpper< TSMatSMatSubExpr<MT1,MT2> >
1056 :
public BoolConstant< And< IsUniUpper<MT1>, IsStrictlyUpper<MT2> >::value >
1072 template<
typename MT1,
typename MT2 >
1074 :
public BoolConstant< And< IsStrictlyUpper<MT1>, IsStrictlyUpper<MT2> >::value >
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
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: TSMatSMatSubExpr.h:239
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 the subtraction trait.
Header file for basic type definitions.
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: TSMatSMatSubExpr.h:165
RightOperand rightOperand() const noexcept
Returns the right-hand side sparse matrix operand.
Definition: TSMatSMatSubExpr.h:290
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: TSMatSMatSubExpr.h:249
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: TSMatSMatSubExpr.h:314
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
CompositeType_< MT2 > CT2
Composite type of the right-hand side sparse matrix expression.
Definition: TSMatSMatSubExpr.h:114
If_< IsExpression< MT2 >, const MT2, const MT2 &> RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: TSMatSMatSubExpr.h:178
typename DisableIf< Condition, T >::Type DisableIf_
Auxiliary type for the DisableIf class template.The DisableIf_ alias declaration provides a convenien...
Definition: DisableIf.h:224
LeftOperand leftOperand() const noexcept
Returns the left-hand side transpose sparse matrix operand.
Definition: TSMatSMatSubExpr.h:280
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
CompositeType_< MT1 > CT1
Composite type of the left-hand side sparse matrix expression.
Definition: TSMatSMatSubExpr.h:113
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
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
ReturnType_< MT1 > RN1
Return type of the left-hand side sparse matrix expression.
Definition: TSMatSMatSubExpr.h:111
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
TSMatSMatSubExpr(const MT1 &lhs, const MT2 &rhs) noexcept
Constructor for the TSMatSMatSubExpr class.
Definition: TSMatSMatSubExpr.h:192
#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.
SubTrait_< RT1, RT2 > ResultType
Result type for expression template evaluations.
Definition: TSMatSMatSubExpr.h:163
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.
ReturnType_< MT2 > RN2
Return type of the right-hand side sparse matrix expression.
Definition: TSMatSMatSubExpr.h:112
Header file for the IsLower type trait.
const ResultType CompositeType
Data type for composite expression templates.
Definition: TSMatSMatSubExpr.h:172
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: TSMatSMatSubExpr.h:302
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
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: TSMatSMatSubExpr.h:208
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
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
SubExprTrait_< RN1, RN2 > ExprReturnType
Expression return type for the subscript operator.
Definition: TSMatSMatSubExpr.h:127
size_t nonZeros(size_t i) const
Returns the number of non-zero elements in the specified row.
Definition: TSMatSMatSubExpr.h:270
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
const IfTrue_< returnExpr, ExprReturnType, ElementType > ReturnType
Return type for expression template evaluations.
Definition: TSMatSMatSubExpr.h:169
ResultType_< MT1 > RT1
Result type of the left-hand side sparse matrix expression.
Definition: TSMatSMatSubExpr.h:109
Header file for run time assertion macros.
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
#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.
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
ResultType_< MT2 > RT2
Result type of the right-hand side sparse matrix expression.
Definition: TSMatSMatSubExpr.h:110
#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
LeftOperand lhs_
Left-hand side sparse matrix of the subtraction expression.
Definition: TSMatSMatSubExpr.h:321
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
OppositeType_< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: TSMatSMatSubExpr.h:164
Header file for the IsComputation type trait class.
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: TSMatSMatSubExpr.h:223
ElementType_< ResultType > ElementType
Resulting element type.
Definition: TSMatSMatSubExpr.h:166
typename SubTrait< T1, T2 >::Type SubTrait_
Auxiliary alias declaration for the SubTrait class template.The SubTrait_ alias declaration provides ...
Definition: SubTrait.h:250
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
size_t nonZeros() const
Returns the number of non-zero elements in the sparse matrix.
Definition: TSMatSMatSubExpr.h:259
#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.
Expression object for transpose sparse matrix-sparse matrix subtractions.The TSMatSMatSubExpr class r...
Definition: Forward.h:166
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
If_< IsExpression< MT1 >, const MT1, const MT1 &> LeftOperand
Composite type of the left-hand side sparse matrix expression.
Definition: TSMatSMatSubExpr.h:175
RightOperand rhs_
Right-hand side sparse matrix of the subtraction expression.
Definition: TSMatSMatSubExpr.h:322
#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.