35 #ifndef _BLAZE_MATH_EXPRESSIONS_DMATDMATSUBEXPR_H_
36 #define _BLAZE_MATH_EXPRESSIONS_DMATDMATSUBEXPR_H_
104 template<
typename MT1
147 template<
typename MT >
150 enum :
bool { value = useAssign };
163 template<
typename MT >
164 struct UseSMPAssign {
165 enum :
bool { value = ( !MT1::smpAssignable || !MT2::smpAssignable ) && useAssign };
224 explicit inline ConstIterator( LeftIteratorType left, RightIteratorType right )
306 return (*left_) - (*right_);
315 inline auto load() const noexcept {
316 return left_.load() - right_.load();
327 return left_ == rhs.
left_;
338 return left_ != rhs.
left_;
349 return left_ < rhs.
left_;
360 return left_ > rhs.
left_;
371 return left_ <= rhs.
left_;
382 return left_ >= rhs.
left_;
393 return left_ - rhs.
left_;
443 enum :
bool { simdEnabled = MT1::simdEnabled && MT2::simdEnabled &&
447 enum :
bool { smpAssignable = MT1::smpAssignable && MT2::smpAssignable };
492 inline ReturnType
at(
size_t i,
size_t j )
const {
493 if( i >=
lhs_.rows() ) {
496 if( j >=
lhs_.columns() ) {
515 return lhs_.load(i,j) -
rhs_.load(i,j);
546 inline size_t rows() const noexcept {
557 return lhs_.columns();
587 template<
typename T >
588 inline bool canAlias(
const T* alias )
const noexcept {
600 template<
typename T >
601 inline bool isAliased(
const T* alias )
const noexcept {
602 return (
lhs_.isAliased( alias ) ||
rhs_.isAliased( alias ) );
612 return lhs_.isAligned() &&
rhs_.isAligned();
622 return lhs_.canSMPAssign() ||
rhs_.canSMPAssign() ||
623 (
rows() *
columns() >= SMP_DMATDMATSUB_THRESHOLD );
647 template<
typename MT
658 subAssign( ~lhs, rhs.
rhs_ );
661 assign ( ~lhs, rhs.
lhs_ );
662 subAssign( ~lhs, rhs.
rhs_ );
682 template<
typename MT
701 const TmpType tmp(
serial( rhs ) );
721 template<
typename MT
723 friend inline EnableIf_< UseAssign<MT> >
731 addAssign( ~lhs, rhs.lhs_ );
732 subAssign( ~lhs, rhs.rhs_ );
755 template<
typename MT
757 friend inline EnableIf_< UseAssign<MT> >
765 subAssign( ~lhs, rhs.lhs_ );
766 addAssign( ~lhs, rhs.rhs_ );
797 template<
typename MT
799 friend inline EnableIf_< UseSMPAssign<MT> >
807 if( !IsExpression<MT1>::value &&
isSame( ~lhs, rhs.lhs_ ) ) {
832 template<
typename MT
834 friend inline EnableIf_< UseSMPAssign<MT> >
839 typedef IfTrue_< SO == SO2, ResultType, OppositeType > TmpType;
851 const TmpType tmp( rhs );
871 template<
typename MT
873 friend inline EnableIf_< UseAssign<MT> >
905 template<
typename MT
907 friend inline EnableIf_< UseSMPAssign<MT> >
977 template<
typename T1
980 inline const DMatDMatSubExpr<T1,T2,SO>
1004 template<
typename MT1,
typename MT2,
bool SO >
1006 :
public Max< Rows<MT1>, Rows<MT2> >
1022 template<
typename MT1,
typename MT2,
bool SO >
1024 :
public Max< Columns<MT1>, Columns<MT2> >
1040 template<
typename MT1,
typename MT2,
bool SO >
1042 :
public BoolConstant< And< IsAligned<MT1>, IsAligned<MT2> >::value >
1058 template<
typename MT1,
typename MT2,
bool SO >
1060 :
public BoolConstant< And< IsPadded<MT1>, IsPadded<MT2> >::value >
1076 template<
typename MT1,
typename MT2,
bool SO >
1078 :
public BoolConstant< IsSymmetric<MT1>::value && IsSymmetric<MT2>::value >
1094 template<
typename MT1,
typename MT2,
bool SO >
1096 :
public BoolConstant< IsHermitian<MT1>::value && IsHermitian<MT2>::value >
1112 template<
typename MT1,
typename MT2,
bool SO >
1114 :
public BoolConstant< And< IsLower<MT1>, IsLower<MT2> >::value >
1130 template<
typename MT1,
typename MT2,
bool SO >
1132 :
public BoolConstant< And< IsUniLower<MT1>, IsStrictlyLower<MT2> >::value >
1148 template<
typename MT1,
typename MT2,
bool SO >
1150 :
public BoolConstant< And< IsStrictlyLower<MT1>, IsStrictlyLower<MT2> >::value >
1166 template<
typename MT1,
typename MT2,
bool SO >
1168 :
public BoolConstant< And< IsUpper<MT1>, IsUpper<MT2> >::value >
1184 template<
typename MT1,
typename MT2,
bool SO >
1186 :
public BoolConstant< And< IsUniUpper<MT1>, IsStrictlyUpper<MT2> >::value >
1202 template<
typename MT1,
typename MT2,
bool SO >
1204 :
public BoolConstant< And< IsStrictlyUpper<MT1>, IsStrictlyUpper<MT2> >::value >
1220 template<
typename MT1,
typename MT2,
bool SO,
bool AF >
1225 using Type = SubExprTrait_< SubmatrixExprTrait_<const MT1,AF>
1226 , SubmatrixExprTrait_<const MT2,AF> >;
1235 template<
typename MT1,
typename MT2,
bool SO >
1240 using Type = SubExprTrait_< RowExprTrait_<const MT1>
1241 , RowExprTrait_<const MT2> >;
1250 template<
typename MT1,
typename MT2,
bool SO >
1255 using Type = SubExprTrait_< ColumnExprTrait_<const MT1>
1256 , 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
Pointer difference type of the Blaze library.
Header file for auxiliary alias declarations.
Header file for the Max class template.
const ConstIterator operator++(int)
Post-increment operator.
Definition: DMatDMatSubExpr.h:273
Availability of a SIMD subtraction for the given data types.Depending on the available instruction se...
Definition: HasSIMDSub.h:163
ReturnType operator*() const
Direct access to the element at the current iterator position.
Definition: DMatDMatSubExpr.h:305
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.
ConstIterator & operator++()
Pre-increment operator.
Definition: DMatDMatSubExpr.h:261
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.
IfTrue_< useAssign, const ResultType, const DMatDMatSubExpr & > CompositeType
Data type for composite expression templates.
Definition: DMatDMatSubExpr.h:182
BLAZE_ALWAYS_INLINE auto load(size_t i, size_t j) const noexcept
Access to the SIMD elements of the matrix.
Definition: DMatDMatSubExpr.h:510
bool operator>(const ConstIterator &rhs) const
Greater-than comparison between two ConstIterator objects.
Definition: DMatDMatSubExpr.h:359
ElementType * PointerType
Pointer return type.
Definition: DMatDMatSubExpr.h:200
If_< IsExpression< MT2 >, const MT2, const MT2 & > RightOperand
Composite type of the right-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:188
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 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
BLAZE_ALWAYS_INLINE size_t size(const Vector< VT, TF > &vector) noexcept
Returns the current size/dimension of the vector.
Definition: Vector.h:258
#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
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: DMatDMatSubExpr.h:477
Header file for the ColumnExprTrait class template.
ResultType_< MT2 > RT2
Result type of the right-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:114
RightOperand rightOperand() const noexcept
Returns the right-hand side dense matrix operand.
Definition: DMatDMatSubExpr.h:576
ConstIterator & operator--()
Pre-decrement operator.
Definition: DMatDMatSubExpr.h:283
Header file for the And class template.
PointerType pointer
Pointer return type.
Definition: DMatDMatSubExpr.h:207
auto load() const noexcept
Access to the SIMD elements of the matrix.
Definition: DMatDMatSubExpr.h:315
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
Header file for the RequiresEvaluation type trait.
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
bool isAligned() const noexcept
Returns whether the operands of the expression are properly aligned in memory.
Definition: DMatDMatSubExpr.h:611
SubExprTrait_< RN1, RN2 > ExprReturnType
Expression return type for the subscript operator.
Definition: DMatDMatSubExpr.h:133
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
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:194
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
SubTrait_< RT1, RT2 > ResultType
Result type for expression template evaluations.
Definition: DMatDMatSubExpr.h:173
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.
Compile time check to query the requirement to evaluate an expression.Via this type trait it is possi...
Definition: RequiresEvaluation.h:72
DifferenceType difference_type
Difference between two iterators.
Definition: DMatDMatSubExpr.h:209
typename T::CompositeType CompositeType_
Alias declaration for nested CompositeType type definitions.The CompositeType_ alias declaration prov...
Definition: Aliases.h:83
const IfTrue_< returnExpr, ExprReturnType, ElementType > ReturnType
Return type for expression template evaluations.
Definition: DMatDMatSubExpr.h:179
RightOperand rhs_
Right-hand side dense matrix of the subtraction expression.
Definition: DMatDMatSubExpr.h:630
Expression object for dense matrix-dense matrix subtractions.The DMatDMatSubExpr class represents the...
Definition: DMatDMatSubExpr.h:107
Header file for the IsTemporary type trait class.
Header file for the IsStrictlyUpper type trait.
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:525
Header file for the If class template.
ElementType ValueType
Type of the underlying elements.
Definition: DMatDMatSubExpr.h:199
const Element * ConstIterator
Iterator over constant elements.
Definition: CompressedMatrix.h:2647
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
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: DMatDMatSubExpr.h:546
#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.
DMatDMatSubExpr< MT1, MT2, SO > This
Type of this DMatDMatSubExpr instance.
Definition: DMatDMatSubExpr.h:172
std::random_access_iterator_tag IteratorCategory
The iterator category.
Definition: DMatDMatSubExpr.h:198
RightIteratorType right_
Iterator to the current right-hand side element.
Definition: DMatDMatSubExpr.h:436
typename T::ElementType ElementType_
Alias declaration for nested ElementType type definitions.The ElementType_ alias declaration provides...
Definition: Aliases.h:163
Header file for all SIMD functionality.
Header file for the MatMatSubExpr base class.
ReferenceType reference
Reference return type.
Definition: DMatDMatSubExpr.h:208
ElementType_< ResultType > ElementType
Resulting element type.
Definition: DMatDMatSubExpr.h:176
Header file for the IsLower type trait.
If_< IsExpression< MT1 >, const MT1, const MT1 & > LeftOperand
Composite type of the left-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:185
Header file for the IsAligned type trait.
ConstIterator(LeftIteratorType left, RightIteratorType right)
Constructor for the ConstIterator class.
Definition: DMatDMatSubExpr.h:224
#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.
ConstIterator end(size_t i) const
Returns an iterator just past the last non-zero element of row i.
Definition: DMatDMatSubExpr.h:536
Header file for the exception macros of the math module.
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 IsPadded type trait.
bool operator<=(const ConstIterator &rhs) const
Less-than comparison between two ConstIterator objects.
Definition: DMatDMatSubExpr.h:370
ValueType value_type
Type of the underlying elements.
Definition: DMatDMatSubExpr.h:206
CompositeType_< MT1 > CT1
Composite type of the left-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:117
DMatDMatSubExpr(const MT1 &lhs, const MT2 &rhs) noexcept
Constructor for the DMatDMatSubExpr class.
Definition: DMatDMatSubExpr.h:461
bool operator!=(const ConstIterator &rhs) const
Inequality comparison between two ConstIterator objects.
Definition: DMatDMatSubExpr.h:337
DifferenceType operator-(const ConstIterator &rhs) const
Calculating the number of elements between two iterators.
Definition: DMatDMatSubExpr.h:392
Header file for the SubmatrixExprTrait class template.
ConstIterator_< MT2 > RightIteratorType
ConstIterator type of the right-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:215
Header file for run time assertion macros.
bool operator==(const ConstIterator &rhs) const
Equality comparison between two ConstIterator objects.
Definition: DMatDMatSubExpr.h:326
bool canSMPAssign() const noexcept
Returns whether the expression can be used in SMP assignments.
Definition: DMatDMatSubExpr.h:621
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
ElementType_< MT1 > ET1
Element type of the left-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:119
friend const ConstIterator operator+(size_t inc, const ConstIterator &it)
Addition between an integral value and a ConstIterator.
Definition: DMatDMatSubExpr.h:416
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: DMatDMatSubExpr.h:556
ConstIterator & operator-=(size_t dec)
Subtraction assignment operator.
Definition: DMatDMatSubExpr.h:249
OppositeType_< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: DMatDMatSubExpr.h:174
Header file for the HasSIMDSub type trait.
IntegralConstant< bool, B > BoolConstant
Generic wrapper for a compile time constant boolean value.The BoolConstant class template represents ...
Definition: IntegralConstant.h:100
ConstIterator_< MT1 > LeftIteratorType
ConstIterator type of the left-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:212
friend const ConstIterator operator-(const ConstIterator &it, size_t dec)
Subtraction between a ConstIterator and an integral value.
Definition: DMatDMatSubExpr.h:428
typename EnableIf< Condition, T >::Type EnableIf_
Auxiliary alias declaration for the EnableIf class template.The EnableIf_ alias declaration provides ...
Definition: EnableIf.h:223
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
bool operator>=(const ConstIterator &rhs) const
Greater-than comparison between two ConstIterator objects.
Definition: DMatDMatSubExpr.h:381
ptrdiff_t DifferenceType
Difference between two iterators.
Definition: DMatDMatSubExpr.h:202
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: DMatDMatSubExpr.h:175
typename T::ConstIterator ConstIterator_
Alias declaration for nested ConstIterator type definitions.The ConstIterator_ alias declaration prov...
Definition: Aliases.h:103
ElementType_< MT2 > ET2
Element type of the right-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:120
ElementType & ReferenceType
Reference return type.
Definition: DMatDMatSubExpr.h:201
IteratorCategory iterator_category
The iterator category.
Definition: DMatDMatSubExpr.h:205
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
#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:435
Header file for the IntegralConstant class template.
bool operator<(const ConstIterator &rhs) const
Less-than comparison between two ConstIterator objects.
Definition: DMatDMatSubExpr.h:348
#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
ResultType_< MT1 > RT1
Result type of the left-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:113
LeftOperand lhs_
Left-hand side dense matrix of the subtraction expression.
Definition: DMatDMatSubExpr.h:629
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.
friend const ConstIterator operator+(const ConstIterator &it, size_t inc)
Addition between a ConstIterator and an integral value.
Definition: DMatDMatSubExpr.h:404
Header file for the IsHermitian type trait.
const ConstIterator operator--(int)
Post-decrement operator.
Definition: DMatDMatSubExpr.h:295
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
ReturnType_< MT1 > RN1
Return type of the left-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:115
CompositeType_< MT2 > CT2
Composite type of the right-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:118
LeftOperand leftOperand() const noexcept
Returns the left-hand side dense matrix operand.
Definition: DMatDMatSubExpr.h:566
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.
ReturnType_< MT2 > RN2
Return type of the right-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:116
Header file for the FunctionTrace class.
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: DMatDMatSubExpr.h:492
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: DMatDMatSubExpr.h:601
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: DMatDMatSubExpr.h:588
ConstIterator & operator+=(size_t inc)
Addition assignment operator.
Definition: DMatDMatSubExpr.h:236