35 #ifndef _BLAZE_MATH_EXPRESSIONS_DMATSMATSUBEXPR_H_
36 #define _BLAZE_MATH_EXPRESSIONS_DMATSMATSUBEXPR_H_
103 template<
typename MT1
138 template<
typename MT >
139 struct UseSMPAssign {
140 enum :
bool { value = ( !MT1::smpAssignable || !MT2::smpAssignable ) };
168 enum :
bool { simdEnabled =
false };
171 enum :
bool { smpAssignable =
false };
211 inline ReturnType
at(
size_t i,
size_t j )
const {
212 if( i >=
lhs_.rows() ) {
215 if( j >=
lhs_.columns() ) {
227 inline size_t rows() const noexcept {
238 return lhs_.columns();
268 template<
typename T >
269 inline bool canAlias(
const T* alias )
const noexcept {
271 (
rhs_.canAlias( alias ) );
281 template<
typename T >
282 inline bool isAliased(
const T* alias )
const noexcept {
283 return (
lhs_.isAliased( alias ) ||
rhs_.isAliased( alias ) );
305 template<
typename MT
315 subAssign( ~lhs, rhs.
rhs_ );
318 assign ( ~lhs, rhs.
lhs_ );
319 subAssign( ~lhs, rhs.
rhs_ );
337 template<
typename MT
355 const TmpType tmp(
serial( rhs ) );
373 template<
typename MT
375 friend inline void addAssign( DenseMatrix<MT,SO2>& lhs,
const DMatSMatSubExpr& rhs )
382 addAssign( ~lhs, rhs.lhs_ );
383 subAssign( ~lhs, rhs.rhs_ );
404 template<
typename MT
406 friend inline void subAssign( DenseMatrix<MT,SO2>& lhs,
const DMatSMatSubExpr& rhs )
413 subAssign( ~lhs, rhs.lhs_ );
414 addAssign( ~lhs, rhs.rhs_ );
445 template<
typename MT
447 friend inline EnableIf_< UseSMPAssign<MT> >
455 if( !IsExpression<MT1>::value &&
isSame( ~lhs, rhs.lhs_ ) ) {
480 template<
typename MT
482 friend inline EnableIf_< UseSMPAssign<MT> >
487 typedef IfTrue_< SO == SO2, ResultType, OppositeType > TmpType;
499 const TmpType tmp( rhs );
519 template<
typename MT
521 friend inline EnableIf_< UseSMPAssign<MT> >
553 template<
typename MT
555 friend inline EnableIf_< UseSMPAssign<MT> >
630 template<
typename T1
633 inline const DMatSMatSubExpr<T1,T2,SO>
668 template<
typename T1
673 inline const AddExprTrait_< DMatSMatSubExpr<T1,T2,SO1>, T3 >
674 operator+(
const DMatSMatSubExpr<T1,T2,SO1>& lhs,
const DenseMatrix<T3,SO2>& rhs )
678 return ( lhs.leftOperand() + (~rhs) ) - lhs.rightOperand();
697 template<
typename T1
702 inline const SubExprTrait_< DMatSMatSubExpr<T1,T2,SO1>, T3 >
703 operator-(
const DMatSMatSubExpr<T1,T2,SO1>& lhs,
const DenseMatrix<T3,SO2>& rhs )
707 return ( lhs.leftOperand() - (~rhs) ) - lhs.rightOperand();
723 template<
typename MT1,
typename MT2,
bool SO >
725 :
public Max< Rows<MT1>, Rows<MT2> >
741 template<
typename MT1,
typename MT2,
bool SO >
743 :
public Max< Columns<MT1>, Columns<MT2> >
759 template<
typename MT1,
typename MT2,
bool SO >
761 :
public BoolConstant< IsSymmetric<MT1>::value && IsSymmetric<MT2>::value >
777 template<
typename MT1,
typename MT2,
bool SO >
779 :
public BoolConstant< IsHermitian<MT1>::value && IsHermitian<MT2>::value >
795 template<
typename MT1,
typename MT2,
bool SO >
797 :
public BoolConstant< And< IsLower<MT1>, IsLower<MT2> >::value >
813 template<
typename MT1,
typename MT2,
bool SO >
815 :
public BoolConstant< And< IsUniLower<MT1>, IsStrictlyLower<MT2> >::value >
831 template<
typename MT1,
typename MT2,
bool SO >
833 :
public BoolConstant< And< IsStrictlyLower<MT1>, IsStrictlyLower<MT2> >::value >
849 template<
typename MT1,
typename MT2,
bool SO >
851 :
public BoolConstant< And< IsUpper<MT1>, IsUpper<MT2> >::value >
867 template<
typename MT1,
typename MT2,
bool SO >
869 :
public BoolConstant< And< IsUniUpper<MT1>, IsStrictlyUpper<MT2> >::value >
885 template<
typename MT1,
typename MT2,
bool SO >
887 :
public BoolConstant< And< IsStrictlyUpper<MT1>, IsStrictlyUpper<MT2> >::value >
903 template<
typename MT1,
typename MT2,
typename MT3 >
909 using Type = If_< And< IsDenseMatrix<MT1>, IsRowMajorMatrix<MT1>
910 , IsSparseMatrix<MT2>, IsRowMajorMatrix<MT2>
911 , IsDenseMatrix<MT3>, IsRowMajorMatrix<MT3> >
912 , DMatSMatSubExprTrait_< DMatDMatAddExprTrait_<MT1,MT3>, MT2 >
923 template<
typename MT1,
typename MT2,
typename MT3 >
929 using Type = If_< And< IsDenseMatrix<MT1>, IsRowMajorMatrix<MT1>
930 , IsSparseMatrix<MT2>, IsRowMajorMatrix<MT2>
931 , IsDenseMatrix<MT3>, IsColumnMajorMatrix<MT3> >
932 , DMatSMatSubExprTrait_< DMatTDMatAddExprTrait_<MT1,MT3>, MT2 >
943 template<
typename MT1,
typename MT2,
typename MT3 >
949 using Type = If_< And< IsDenseMatrix<MT1>, IsColumnMajorMatrix<MT1>
950 , IsSparseMatrix<MT2>, IsColumnMajorMatrix<MT2>
951 , IsDenseMatrix<MT3>, IsRowMajorMatrix<MT3> >
952 , DMatTSMatSubExprTrait_< TDMatDMatAddExprTrait_<MT1,MT3>, MT2 >
963 template<
typename MT1,
typename MT2,
typename MT3 >
969 using Type = If_< And< IsDenseMatrix<MT1>, IsColumnMajorMatrix<MT1>
970 , IsSparseMatrix<MT2>, IsColumnMajorMatrix<MT2>
971 , IsDenseMatrix<MT3>, IsColumnMajorMatrix<MT3> >
972 , TDMatTSMatSubExprTrait_< TDMatTDMatAddExprTrait_<MT1,MT3>, MT2 >
983 template<
typename MT1,
typename MT2,
typename MT3 >
989 using Type = If_< And< IsDenseMatrix<MT1>, IsRowMajorMatrix<MT1>
990 , IsSparseMatrix<MT2>, IsRowMajorMatrix<MT2>
991 , IsDenseMatrix<MT3>, IsRowMajorMatrix<MT3> >
992 , DMatSMatSubExprTrait_< DMatDMatSubExprTrait_<MT1,MT3>, MT2 >
1003 template<
typename MT1,
typename MT2,
typename MT3 >
1009 using Type = If_< And< IsDenseMatrix<MT1>, IsRowMajorMatrix<MT1>
1010 , IsSparseMatrix<MT2>, IsRowMajorMatrix<MT2>
1011 , IsDenseMatrix<MT3>, IsColumnMajorMatrix<MT3> >
1012 , DMatSMatSubExprTrait_< DMatTDMatSubExprTrait_<MT1,MT3>, MT2 >
1023 template<
typename MT1,
typename MT2,
typename MT3 >
1029 using Type = If_< And< IsDenseMatrix<MT1>, IsColumnMajorMatrix<MT1>
1030 , IsSparseMatrix<MT2>, IsColumnMajorMatrix<MT2>
1031 , IsDenseMatrix<MT3>, IsRowMajorMatrix<MT3> >
1032 , DMatTSMatSubExprTrait_< TDMatDMatSubExprTrait_<MT1,MT3>, MT2 >
1043 template<
typename MT1,
typename MT2,
typename MT3 >
1049 using Type = If_< And< IsDenseMatrix<MT1>, IsColumnMajorMatrix<MT1>
1050 , IsSparseMatrix<MT2>, IsColumnMajorMatrix<MT2>
1051 , IsDenseMatrix<MT3>, IsColumnMajorMatrix<MT3> >
1052 , TDMatTSMatSubExprTrait_< TDMatTDMatSubExprTrait_<MT1,MT3>, MT2 >
1063 template<
typename MT1,
typename MT2,
bool SO,
bool AF >
1068 using Type = SubExprTrait_< SubmatrixExprTrait_<const MT1,AF>
1069 , SubmatrixExprTrait_<const MT2,AF> >;
1078 template<
typename MT1,
typename MT2,
bool SO >
1083 using Type = SubExprTrait_< RowExprTrait_<const MT1>
1084 , RowExprTrait_<const MT2> >;
1093 template<
typename MT1,
typename MT2,
bool SO >
1098 using Type = SubExprTrait_< ColumnExprTrait_<const MT1>
1099 , ColumnExprTrait_<const 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 dense matrix operand.
Definition: DMatSMatSubExpr.h:257
RightOperand rhs_
Right-hand side sparse matrix of the subtraction expression.
Definition: DMatSMatSubExpr.h:290
SubExprTrait_< RN1, RN2 > ExprReturnType
Expression return type for the subscript operator.
Definition: DMatSMatSubExpr.h:128
Header file for auxiliary alias declarations.
Header file for the Max class template.
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.
Header file for the subtraction trait.
BLAZE_ALWAYS_INLINE bool isSame(const Matrix< MT1, SO1 > &a, const Matrix< MT2, SO2 > &b) noexcept
Returns whether the two given matrices represent the same observable state.
Definition: Matrix.h:653
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:160
Header file for the IsSparseMatrix type trait.
Header file for the serial shim.
#define BLAZE_CONSTRAINT_MUST_BE_MATRIX_WITH_STORAGE_ORDER(T, SO)
Constraint on the data type.In case the given data type T is not a dense or sparse matrix type and in...
Definition: StorageOrder.h:63
#define BLAZE_CONSTRAINT_MUST_BE_DENSE_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is not a dense, N-dimensional matrix type...
Definition: DenseMatrix.h:61
Header file for the ColumnExprTrait class template.
Header file for the IsColumnMajorMatrix type trait.
const DenseIterator< Type, AF > operator+(const DenseIterator< Type, AF > &it, ptrdiff_t inc) noexcept
Addition between a DenseIterator and an integral value.
Definition: DenseIterator.h:699
Header file for the And class template.
Header file for the AddExprTrait class template.
const DMatSerialExpr< MT, SO > serial(const DenseMatrix< MT, SO > &dm)
Forces the serial evaluation of the given dense matrix expression dm.
Definition: DMatSerialExpr.h:723
Header file for the Computation base class.
const DenseIterator< Type, AF > operator-(const DenseIterator< Type, AF > &it, ptrdiff_t inc) noexcept
Subtraction between a DenseIterator and an integral value.
Definition: DenseIterator.h:731
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: DMatSMatSubExpr.h:150
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:323
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:129
If_< IsExpression< MT2 >, const MT2, const MT2 & > RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: DMatSMatSubExpr.h:163
Base class for dense matrices.The DenseMatrix class is a base class for all dense matrix classes...
Definition: DenseMatrix.h:70
Base class for sparse matrices.The SparseMatrix class is a base class for all sparse matrix classes...
Definition: Forward.h:109
Constraint on the data type.
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:343
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: DMatSMatSubExpr.h:196
typename SubExprTrait< T1, T2 >::Type SubExprTrait_
Auxiliary alias declaration for the SubExprTrait class template.The SubExprTrait_ alias declaration p...
Definition: SubExprTrait.h:220
Constraint on the data type.
Constraint on the data type.
typename T::CompositeType CompositeType_
Alias declaration for nested CompositeType type definitions.The CompositeType_ alias declaration prov...
Definition: Aliases.h:83
Header file for the IsTemporary type trait class.
Header file for the IsStrictlyUpper type trait.
LeftOperand lhs_
Left-hand side dense matrix of the subtraction expression.
Definition: DMatSMatSubExpr.h:289
Header file for the IsSymmetric type trait.
Base class for all matrix/matrix subtraction expression templates.The MatMatSubExpr class serves as a...
Definition: MatMatSubExpr.h:65
Namespace of the Blaze C++ math library.
Definition: Blaze.h:57
Header file for the If class template.
EnableIf_< IsDenseMatrix< MT1 > > smpAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the SMP assignment of a matrix to a dense matrix.
Definition: DenseMatrix.h:98
#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 DenseMatrix base class.
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.
const ResultType CompositeType
Data type for composite expression templates.
Definition: DMatSMatSubExpr.h:157
Header file for the IsLower type trait.
#define BLAZE_CONSTRAINT_MUST_BE_REFERENCE_TYPE(T)
Constraint on the data type.In case the given data type T is not a reference type, a compilation error is created.
Definition: Reference.h:60
Constraints on the storage order of matrix types.
ResultType_< MT1 > RT1
Result type of the left-hand side dense matrix expression.
Definition: DMatSMatSubExpr.h:112
Header file for the exception macros of the math module.
OppositeType_< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: DMatSMatSubExpr.h:149
Header file for the RowExprTrait class template.
Header file for all forward declarations for expression class templates.
Header file for the IsDenseMatrix type trait.
Header file for the EnableIf class template.
Header file for the IsStrictlyLower type trait.
ReturnType_< MT2 > RN2
Return type of the right-hand side sparse matrix expression.
Definition: DMatSMatSubExpr.h:115
ResultType_< MT2 > RT2
Result type of the right-hand side sparse matrix expression.
Definition: DMatSMatSubExpr.h:113
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: DMatSMatSubExpr.h:237
Header file for the SubmatrixExprTrait class template.
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: DMatSMatSubExpr.h:227
DMatSMatSubExpr< MT1, MT2, SO > This
Type of this DMatSMatSubExpr instance.
Definition: DMatSMatSubExpr.h:147
Header file for run time assertion macros.
Expression object for dense matrix-sparse matrix subtractions.The DMatSMatSubExpr class represents th...
Definition: DMatSMatSubExpr.h:106
Utility type for generic codes.
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: DMatSMatSubExpr.h:211
const IfTrue_< returnExpr, ExprReturnType, ElementType > ReturnType
Return type for expression template evaluations.
Definition: DMatSMatSubExpr.h:154
ReturnType_< MT1 > RN1
Return type of the left-hand side dense matrix expression.
Definition: DMatSMatSubExpr.h:114
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:160
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: DMatSMatSubExpr.h:269
IntegralConstant< bool, B > BoolConstant
Generic wrapper for a compile time constant boolean value.The BoolConstant class template represents ...
Definition: IntegralConstant.h:100
typename T::OppositeType OppositeType_
Alias declaration for nested OppositeType type definitions.The OppositeType_ alias declaration provid...
Definition: Aliases.h:243
#define BLAZE_CONSTRAINT_MATRICES_MUST_HAVE_SAME_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:84
If_< IsExpression< MT1 >, const MT1, const MT1 & > LeftOperand
Composite type of the left-hand side dense matrix expression.
Definition: DMatSMatSubExpr.h:160
SubTrait_< RT1, RT2 > ResultType
Result type for expression template evaluations.
Definition: DMatSMatSubExpr.h:148
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: DMatSMatSubExpr.h:282
LeftOperand leftOperand() const noexcept
Returns the left-hand side dense matrix operand.
Definition: DMatSMatSubExpr.h:247
Header file for the IsRowMajorMatrix type trait.
DMatSMatSubExpr(const MT1 &lhs, const MT2 &rhs) noexcept
Constructor for the DMatSMatSubExpr class.
Definition: DMatSMatSubExpr.h:180
Base class for all compute expression templates.The Computation class serves as a tag for all computa...
Definition: Computation.h:59
typename SubTrait< T1, T2 >::Type SubTrait_
Auxiliary alias declaration for the SubTrait class template.The SubTrait_ alias declaration provides ...
Definition: SubTrait.h:245
ElementType_< ResultType > ElementType
Resulting element type.
Definition: DMatSMatSubExpr.h:151
#define BLAZE_FUNCTION_TRACE
Function trace macro.This macro can be used to reliably trace function calls. In case function tracin...
Definition: FunctionTrace.h:157
Header file for the IntegralConstant class template.
#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:109
typename T::TransposeType TransposeType_
Alias declaration for nested TransposeType type definitions.The TransposeType_ alias declaration prov...
Definition: Aliases.h:403
Header file for the IsUpper type trait.
Header file for the IsHermitian 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
Compile time check whether the given type is an expression template.This type trait class tests wheth...
Definition: IsExpression.h:71
Header file for the IsExpression type trait class.
Header file for the FunctionTrace class.