35 #ifndef _BLAZE_MATH_EXPRESSIONS_DMATDMATSUBEXPR_H_
36 #define _BLAZE_MATH_EXPRESSIONS_DMATDMATSUBEXPR_H_
99 template<
typename MT1
142 template<
typename MT >
145 enum { value = useAssign };
158 template<
typename MT >
159 struct UseSMPAssign {
160 enum { value = ( !MT1::smpAssignable || !MT2::smpAssignable ) && useAssign };
220 explicit inline ConstIterator( LeftIteratorType left, RightIteratorType right )
302 return (*left_) - (*right_);
311 inline IntrinsicType
load()
const {
312 return left_.load() - right_.load();
323 return left_ == rhs.
left_;
334 return left_ != rhs.
left_;
345 return left_ < rhs.
left_;
356 return left_ > rhs.
left_;
367 return left_ <= rhs.
left_;
378 return left_ >= rhs.
left_;
389 return left_ - rhs.
left_;
439 enum { vectorizable = MT1::vectorizable && MT2::vectorizable &&
444 enum { smpAssignable = MT1::smpAssignable && MT2::smpAssignable };
489 const IntrinsicType xmm1(
lhs_.load(i,j) );
490 const IntrinsicType xmm2(
rhs_.load(i,j) );
533 return lhs_.columns();
563 template<
typename T >
576 template<
typename T >
578 return (
lhs_.isAliased( alias ) ||
rhs_.isAliased( alias ) );
588 return lhs_.isAligned() &&
rhs_.isAligned();
598 return lhs_.canSMPAssign() ||
rhs_.canSMPAssign() ||
623 template<
typename MT
658 template<
typename MT
677 const TmpType tmp(
serial( rhs ) );
697 template<
typename MT
699 friend inline typename EnableIf< UseAssign<MT> >::Type
731 template<
typename MT
733 friend inline typename EnableIf< UseAssign<MT> >::Type
773 template<
typename MT
775 friend inline typename EnableIf< UseSMPAssign<MT> >::Type
783 if( !IsExpression<MT1>::value &&
isSame( ~lhs, rhs.lhs_ ) ) {
808 template<
typename MT
810 friend inline typename EnableIf< UseSMPAssign<MT> >::Type
815 typedef typename SelectType< SO == SO2, ResultType, OppositeType >::Type TmpType;
827 const TmpType tmp( rhs );
847 template<
typename MT
849 friend inline typename EnableIf< UseAssign<MT> >::Type
881 template<
typename MT
883 friend inline typename EnableIf< UseSMPAssign<MT> >::Type
953 template<
typename T1
956 inline const DMatDMatSubExpr<T1,T2,SO>
962 throw std::invalid_argument(
"Matrix sizes do not match" );
979 template<
typename MT1,
typename MT2,
bool SO >
981 :
public Max< Rows<MT1>, Rows<MT2> >::Type
997 template<
typename MT1,
typename MT2,
bool SO >
999 :
public Max< Columns<MT1>, Columns<MT2> >::Type
1015 template<
typename MT1,
typename MT2,
bool SO >
1017 :
public IsTrue< IsSymmetric<MT1>::value && IsSymmetric<MT2>::value >
1033 template<
typename MT1,
typename MT2,
bool SO >
1035 :
public IsTrue< And< IsLower<MT1>, IsLower<MT2> >::value >
1051 template<
typename MT1,
typename MT2,
bool SO >
1053 :
public IsTrue< And< IsUniLower<MT1>, IsStrictlyLower<MT2> >::value >
1069 template<
typename MT1,
typename MT2,
bool SO >
1071 :
public IsTrue< And< IsStrictlyLower<MT1>, IsStrictlyLower<MT2> >::value >
1087 template<
typename MT1,
typename MT2,
bool SO >
1089 :
public IsTrue< And< IsUpper<MT1>, IsUpper<MT2> >::value >
1105 template<
typename MT1,
typename MT2,
bool SO >
1107 :
public IsTrue< And< IsUniUpper<MT1>, IsStrictlyUpper<MT2> >::value >
1123 template<
typename MT1,
typename MT2,
bool SO >
1125 :
public IsTrue< And< IsStrictlyUpper<MT1>, IsStrictlyUpper<MT2> >::value >
1141 template<
typename MT1,
typename MT2,
bool SO,
bool AF >
1146 typedef typename SubExprTrait< typename SubmatrixExprTrait<const MT1,AF>::Type
1147 ,
typename SubmatrixExprTrait<const MT2,AF>::Type >::Type Type;
1156 template<
typename MT1,
typename MT2,
bool SO >
1161 typedef typename SubExprTrait< typename RowExprTrait<const MT1>::Type
1162 ,
typename RowExprTrait<const MT2>::Type >::Type Type;
1171 template<
typename MT1,
typename MT2,
bool SO >
1176 typedef typename SubExprTrait< typename ColumnExprTrait<const MT1>::Type
1177 ,
typename ColumnExprTrait<const MT2>::Type >::Type Type;
Constraint on the data type.
Pointer difference type of the Blaze library.
Header file for the Max class template.
const ConstIterator operator++(int)
Post-increment operator.
Definition: DMatDMatSubExpr.h:269
ReturnType operator*() const
Direct access to the element at the current iterator position.
Definition: DMatDMatSubExpr.h:301
Compile time check whether the given type is a temporary vector or matrix type.This type trait class ...
Definition: IsTemporary.h:87
Header file for the Rows type trait.
ConstIterator & operator++()
Pre-increment operator.
Definition: DMatDMatSubExpr.h:257
Header file for the IsUniUpper type trait.
Header file for the subtraction trait.
Header file for basic type definitions.
BLAZE_ALWAYS_INLINE size_t size(const Vector< VT, TF > &vector)
Returns the current size/dimension of the vector.
Definition: Vector.h:264
bool canAlias(const T *alias) const
Returns whether the expression can alias with the given address alias.
Definition: DMatDMatSubExpr.h:564
bool operator>(const ConstIterator &rhs) const
Greater-than comparison between two ConstIterator objects.
Definition: DMatDMatSubExpr.h:355
const SelectType< returnExpr, ExprReturnType, ElementType >::Type ReturnType
Return type for expression template evaluations.
Definition: DMatDMatSubExpr.h:175
ElementType * PointerType
Pointer return type.
Definition: DMatDMatSubExpr.h:196
IntrinsicTrait< ElementType >::Type IntrinsicType
Resulting intrinsic element type.
Definition: DMatDMatSubExpr.h:172
#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:242
Efficient implementation of a compressed matrix.The CompressedMatrix class template is the represent...
Definition: CompressedMatrix.h:209
DMatDMatSubExpr(const MT1 &lhs, const MT2 &rhs)
Constructor for the DMatDMatSubExpr class.
Definition: DMatDMatSubExpr.h:453
#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:79
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: DMatDMatSubExpr.h:469
BLAZE_ALWAYS_INLINE bool isSame(const Matrix< MT1, SO1 > &a, const Matrix< MT2, SO2 > &b)
Returns whether the two given matrices represent the same observable state.
Definition: Matrix.h:946
Header file for the ColumnExprTrait class template.
Header file for the IsSame and IsStrictlySame type traits.
IntrinsicType load() const
Access to the intrinsic elements of the matrix.
Definition: DMatDMatSubExpr.h:311
const This & CompositeType
Data type for composite expression templates.
Definition: CompressedMatrix.h:2507
MT1::ReturnType RN1
Return type of the left-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:110
Type ElementType
Type of the sparse matrix elements.
Definition: CompressedMatrix.h:261
ConstIterator & operator--()
Pre-decrement operator.
Definition: DMatDMatSubExpr.h:279
Header file for the And class template.
PointerType pointer
Pointer return type.
Definition: DMatDMatSubExpr.h:203
const DMatSerialExpr< MT, SO > serial(const DenseMatrix< MT, SO > &dm)
Forces the serial evaluation of the given dense matrix expression dm.
Definition: DMatSerialExpr.h:699
Header file for the Computation base class.
Type relationship analysis.This class tests if the two data types A and B are equal. For this type comparison, the cv-qualifiers of both data types are ignored. If A and B are the same data type (ignoring the cv-qualifiers), then the value member enumeration is set to 1, the nested type definition Type is TrueType, and the class derives from TrueType. Otherwise value is set to 0, Type is FalseType, and the class derives from FalseType.
Definition: IsSame.h:158
MT2::ConstIterator RightIteratorType
ConstIterator type of the right-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:211
Header file for the RequiresEvaluation type trait.
Header file for the IsUniLower type trait.
Base class for dense matrices.The DenseMatrix class is a base class for all dense matrix classes...
Definition: DenseMatrix.h:70
Iterator over the elements of the dense matrix.
Definition: DMatDMatSubExpr.h:190
Base class for sparse matrices.The SparseMatrix class is a base class for all sparse matrix classes...
Definition: Forward.h:107
Constraint on the data type.
ResultType::ElementType ElementType
Resulting element type.
Definition: DMatDMatSubExpr.h:171
MT1::CompositeType CT1
Composite type of the left-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:112
Constraint on the data type.
Compile time check to query the requirement to evaluate an expression.Via this type trait it is possi...
Definition: RequiresEvaluation.h:90
DifferenceType difference_type
Difference between two iterators.
Definition: DMatDMatSubExpr.h:205
RightOperand rhs_
Right-hand side dense matrix of the subtraction expression.
Definition: DMatDMatSubExpr.h:606
Expression object for dense matrix-dense matrix subtractions.The DMatDMatSubExpr class represents the...
Definition: DMatDMatSubExpr.h:102
BLAZE_ALWAYS_INLINE IntrinsicType load(size_t i, size_t j) const
Access to the intrinsic elements of the matrix.
Definition: DMatDMatSubExpr.h:483
Compile time type selection.The SelectType class template selects one of the two given types T1 and T...
Definition: SelectType.h:59
size_t rows() const
Returns the current number of rows of the matrix.
Definition: DMatDMatSubExpr.h:522
Header file for the IsTemporary type trait class.
Header file for the IsStrictlyUpper type trait.
SubTrait< RT1, RT2 >::Type ResultType
Result type for expression template evaluations.
Definition: DMatDMatSubExpr.h:168
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
#define BLAZE_ALWAYS_INLINE
Platform dependent setup of an enforced inline keyword.
Definition: Inline.h:85
ConstIterator begin(size_t i) const
Returns an iterator to the first non-zero element of row i.
Definition: DMatDMatSubExpr.h:501
ElementType ValueType
Type of the underlying elements.
Definition: DMatDMatSubExpr.h:195
const Element * ConstIterator
Iterator over constant elements.
Definition: CompressedMatrix.h:2511
const size_t SMP_DMATDMATSUB_THRESHOLD
SMP row-major dense matrix/row-major dense matrix subtraction threshold.This threshold specifies when...
Definition: Thresholds.h:763
Header file for the DenseMatrix base class.
BLAZE_ALWAYS_INLINE void assign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the assignment of a matrix to a matrix.
Definition: Matrix.h:635
Header file for the Columns type trait.
DMatDMatSubExpr< MT1, MT2, SO > This
Type of this DMatDMatSubExpr instance.
Definition: DMatDMatSubExpr.h:167
std::random_access_iterator_tag IteratorCategory
The iterator category.
Definition: DMatDMatSubExpr.h:194
SelectType< IsExpression< MT1 >::value, const MT1, const MT1 & >::Type LeftOperand
Composite type of the left-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:181
RightIteratorType right_
Iterator to the current right-hand side element.
Definition: DMatDMatSubExpr.h:432
Header file for the MatMatSubExpr base class.
ReferenceType reference
Reference return type.
Definition: DMatDMatSubExpr.h:204
bool canSMPAssign() const
Returns whether the expression can be used in SMP assignments.
Definition: DMatDMatSubExpr.h:597
Header file for the IsLower type trait.
ConstIterator(LeftIteratorType left, RightIteratorType right)
Constructor for the ConstIterator class.
Definition: DMatDMatSubExpr.h:220
#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:78
bool isAligned() const
Returns whether the operands of the expression are properly aligned in memory.
Definition: DMatDMatSubExpr.h:587
Constraints on the storage order of matrix types.
MT1::ElementType ET1
Element type of the left-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:114
ConstIterator end(size_t i) const
Returns an iterator just past the last non-zero element of row i.
Definition: DMatDMatSubExpr.h:512
Evaluation of the return type of a subtraction expression.Via this type trait it is possible to evalu...
Definition: SubExprTrait.h:104
Type ElementType
Type of the sparse matrix elements.
Definition: CompressedMatrix.h:2505
ResultType::TransposeType TransposeType
Transpose type for expression template evaluations.
Definition: DMatDMatSubExpr.h:170
SelectType< IsExpression< MT2 >::value, const MT2, const MT2 & >::Type RightOperand
Composite type of the right-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:184
Header file for the SelectType class template.
Header file for the RowExprTrait class template.
Header file for all forward declarations for expression class templates.
Header file for the EnableIf class template.
Header file for the IsStrictlyLower type trait.
Header file for the serial shim.
bool operator<=(const ConstIterator &rhs) const
Less-than comparison between two ConstIterator objects.
Definition: DMatDMatSubExpr.h:366
ResultType::OppositeType OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: DMatDMatSubExpr.h:169
ValueType value_type
Type of the underlying elements.
Definition: DMatDMatSubExpr.h:202
bool operator!=(const ConstIterator &rhs) const
Inequality comparison between two ConstIterator objects.
Definition: DMatDMatSubExpr.h:333
DifferenceType operator-(const ConstIterator &rhs) const
Calculating the number of elements between two iterators.
Definition: DMatDMatSubExpr.h:388
EnableIf< IsDenseMatrix< MT1 > >::Type 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 SubmatrixExprTrait class template.
const Type & ReturnType
Return type for expression template evaluations.
Definition: CompressedMatrix.h:2506
MT2::CompositeType CT2
Composite type of the right-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:113
Intrinsic characteristics of data types.The IntrinsicTrait class template provides the intrinsic char...
Definition: IntrinsicTrait.h:749
Header file for run time assertion macros.
MT2::ElementType ET2
Element type of the right-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:115
EnableIf< IsDenseMatrix< MT1 > >::Type 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
BLAZE_ALWAYS_INLINE void addAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the addition assignment of a matrix to a matrix.
Definition: Matrix.h:742
bool operator==(const ConstIterator &rhs) const
Equality comparison between two ConstIterator objects.
Definition: DMatDMatSubExpr.h:322
const DenseIterator< Type > operator-(const DenseIterator< Type > &it, ptrdiff_t inc)
Subtraction between a DenseIterator and an integral value.
Definition: DenseIterator.h:585
Substitution Failure Is Not An Error (SFINAE) class.The EnableIf class template is an auxiliary tool ...
Definition: EnableIf.h:184
friend const ConstIterator operator+(size_t inc, const ConstIterator &it)
Addition between an integral value and a ConstIterator.
Definition: DMatDMatSubExpr.h:412
MT2::ReturnType RN2
Return type of the right-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:111
ConstIterator & operator-=(size_t dec)
Subtraction assignment operator.
Definition: DMatDMatSubExpr.h:245
friend const ConstIterator operator-(const ConstIterator &it, size_t dec)
Subtraction between a ConstIterator and an integral value.
Definition: DMatDMatSubExpr.h:424
#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:283
bool operator>=(const ConstIterator &rhs) const
Greater-than comparison between two ConstIterator objects.
Definition: DMatDMatSubExpr.h:377
RightOperand rightOperand() const
Returns the right-hand side dense matrix operand.
Definition: DMatDMatSubExpr.h:552
Header file for all intrinsic functionality.
ptrdiff_t DifferenceType
Difference between two iterators.
Definition: DMatDMatSubExpr.h:198
ElementType & ReferenceType
Reference return type.
Definition: DMatDMatSubExpr.h:197
MT2::ResultType RT2
Result type of the right-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:109
const bool rowMajor
Storage order flag for row-major matrices.
Definition: StorageOrder.h:71
SelectType< useAssign, const ResultType, const DMatDMatSubExpr & >::Type CompositeType
Data type for composite expression templates.
Definition: DMatDMatSubExpr.h:178
IteratorCategory iterator_category
The iterator category.
Definition: DMatDMatSubExpr.h:201
Base class for all compute expression templates.The Computation class serves as a tag for all computa...
Definition: Computation.h:59
EnableIf< IsDenseMatrix< MT1 > >::Type 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
LeftOperand leftOperand() const
Returns the left-hand side dense matrix operand.
Definition: DMatDMatSubExpr.h:542
SubExprTrait< RN1, RN2 >::Type ExprReturnType
Expression return type for the subscript operator.
Definition: DMatDMatSubExpr.h:128
#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
LeftIteratorType left_
Iterator to the current left-hand side element.
Definition: DMatDMatSubExpr.h:431
This ResultType
Result type for expression template evaluations.
Definition: CompressedMatrix.h:2502
Header file for the IsTrue value trait.
bool isAliased(const T *alias) const
Returns whether the expression is aliased with the given address alias.
Definition: DMatDMatSubExpr.h:577
MT1::ResultType RT1
Result type of the left-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:108
bool operator<(const ConstIterator &rhs) const
Less-than comparison between two ConstIterator objects.
Definition: DMatDMatSubExpr.h:344
MT1::ConstIterator LeftIteratorType
ConstIterator type of the left-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:208
#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:165
Base template for the SubTrait class.
Definition: SubTrait.h:150
LeftOperand lhs_
Left-hand side dense matrix of the subtraction expression.
Definition: DMatDMatSubExpr.h:605
Header file for the IsUpper type trait.
friend const ConstIterator operator+(const ConstIterator &it, size_t inc)
Addition between a ConstIterator and an integral value.
Definition: DMatDMatSubExpr.h:400
size_t columns() const
Returns the current number of columns of the matrix.
Definition: DMatDMatSubExpr.h:532
const ConstIterator operator--(int)
Post-decrement operator.
Definition: DMatDMatSubExpr.h:291
Header file for the SubExprTrait class template.
System settings for the inline keywords.
Header file for the thresholds for matrix/vector and matrix/matrix multiplications.
#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
Compile time check whether the given type is an expression template.This type trait class tests wheth...
Definition: IsExpression.h:87
Header file for the IsExpression type trait class.
Header file for the FunctionTrace class.
BLAZE_ALWAYS_INLINE void subAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the subtraction assignment of a matrix to matrix.
Definition: Matrix.h:849
ConstIterator & operator+=(size_t inc)
Addition assignment operator.
Definition: DMatDMatSubExpr.h:232