35 #ifndef _BLAZE_MATH_EXPRESSIONS_DMATDMATADDEXPR_H_
36 #define _BLAZE_MATH_EXPRESSIONS_DMATDMATADDEXPR_H_
105 template<
typename MT1
148 template<
typename MT >
151 enum :
bool { value = useAssign };
164 template<
typename MT >
165 struct UseSMPAssign {
166 enum :
bool { value = ( !MT1::smpAssignable || !MT2::smpAssignable ) && useAssign };
225 explicit inline ConstIterator( LeftIteratorType left, RightIteratorType right )
307 return (*left_) + (*right_);
316 inline auto load() const noexcept {
317 return left_.load() + right_.load();
328 return left_ == rhs.
left_;
339 return left_ != rhs.
left_;
350 return left_ < rhs.
left_;
361 return left_ > rhs.
left_;
372 return left_ <= rhs.
left_;
383 return left_ >= rhs.
left_;
394 return left_ - rhs.
left_;
444 enum :
bool { simdEnabled = MT1::simdEnabled && MT2::simdEnabled &&
448 enum :
bool { smpAssignable = MT1::smpAssignable && MT2::smpAssignable };
493 inline ReturnType
at(
size_t i,
size_t j )
const {
494 if( i >=
lhs_.rows() ) {
497 if( j >=
lhs_.columns() ) {
516 return lhs_.load(i,j) +
rhs_.load(i,j);
547 inline size_t rows() const noexcept {
558 return lhs_.columns();
588 template<
typename T >
589 inline bool canAlias(
const T* alias )
const noexcept {
601 template<
typename T >
602 inline bool isAliased(
const T* alias )
const noexcept {
603 return (
lhs_.isAliased( alias ) ||
rhs_.isAliased( alias ) );
613 return lhs_.isAligned() &&
rhs_.isAligned();
623 return lhs_.canSMPAssign() ||
rhs_.canSMPAssign() ||
624 (
rows() *
columns() >= SMP_DMATDMATADD_THRESHOLD );
648 template<
typename MT
659 addAssign( ~lhs, rhs.
rhs_ );
662 addAssign( ~lhs, rhs.
lhs_ );
665 assign ( ~lhs, rhs.
lhs_ );
666 addAssign( ~lhs, rhs.
rhs_ );
686 template<
typename MT
705 const TmpType tmp(
serial( rhs ) );
725 template<
typename MT
727 friend inline EnableIf_< UseAssign<MT> >
735 addAssign( ~lhs, rhs.lhs_ );
736 addAssign( ~lhs, rhs.rhs_ );
759 template<
typename MT
761 friend inline EnableIf_< UseAssign<MT> >
769 subAssign( ~lhs, rhs.lhs_ );
770 subAssign( ~lhs, rhs.rhs_ );
801 template<
typename MT
803 friend inline EnableIf_< UseSMPAssign<MT> >
811 if( !IsExpression<MT1>::value &&
isSame( ~lhs, rhs.lhs_ ) ) {
814 else if( !IsExpression<MT2>::value &&
isSame( ~lhs, rhs.rhs_ ) ) {
839 template<
typename MT
841 friend inline EnableIf_< UseSMPAssign<MT> >
846 typedef IfTrue_< SO == SO2, ResultType, OppositeType > TmpType;
858 const TmpType tmp( rhs );
878 template<
typename MT
880 friend inline EnableIf_< UseSMPAssign<MT> >
912 template<
typename MT
914 friend inline EnableIf_< UseSMPAssign<MT> >
987 template<
typename T1
990 inline const DMatDMatAddExpr<T1,T2,SO>
1014 template<
typename MT1,
typename MT2,
bool SO >
1016 :
public Max< Rows<MT1>, Rows<MT2> >
1032 template<
typename MT1,
typename MT2,
bool SO >
1034 :
public Max< Columns<MT1>, Columns<MT2> >
1050 template<
typename MT1,
typename MT2,
bool SO >
1052 :
public BoolConstant< And< IsAligned<MT1>, IsAligned<MT2> >::value >
1068 template<
typename MT1,
typename MT2,
bool SO >
1070 :
public BoolConstant< And< IsPadded<MT1>, IsPadded<MT2> >::value >
1086 template<
typename MT1,
typename MT2,
bool SO >
1088 :
public BoolConstant< IsSymmetric<MT1>::value && IsSymmetric<MT2>::value >
1104 template<
typename MT1,
typename MT2,
bool SO >
1106 :
public BoolConstant< IsHermitian<MT1>::value && IsHermitian<MT2>::value >
1122 template<
typename MT1,
typename MT2,
bool SO >
1124 :
public BoolConstant< And< IsLower<MT1>, IsLower<MT2> >::value >
1140 template<
typename MT1,
typename MT2,
bool SO >
1142 :
public BoolConstant< Or< And< IsUniLower<MT1>, IsStrictlyLower<MT2> >
1143 , And< IsUniLower<MT2>, IsStrictlyLower<MT1> > >::value >
1159 template<
typename MT1,
typename MT2,
bool SO >
1161 :
public BoolConstant< And< IsStrictlyLower<MT1>, IsStrictlyLower<MT2> >::value >
1177 template<
typename MT1,
typename MT2,
bool SO >
1179 :
public BoolConstant< And< IsUpper<MT1>, IsUpper<MT2> >::value >
1195 template<
typename MT1,
typename MT2,
bool SO >
1197 :
public BoolConstant< Or< And< IsUniUpper<MT1>, IsStrictlyUpper<MT2> >
1198 , And< IsUniUpper<MT2>, IsStrictlyUpper<MT1> > >::value >
1214 template<
typename MT1,
typename MT2,
bool SO >
1216 :
public BoolConstant< And< IsStrictlyUpper<MT1>, IsStrictlyUpper<MT2> >::value >
1232 template<
typename MT1,
typename MT2,
bool SO,
bool AF >
1237 using Type = AddExprTrait_< SubmatrixExprTrait_<const MT1,AF>
1238 , SubmatrixExprTrait_<const MT2,AF> >;
1247 template<
typename MT1,
typename MT2,
bool SO >
1252 using Type = AddExprTrait_< RowExprTrait_<const MT1>
1253 , RowExprTrait_<const MT2> >;
1262 template<
typename MT1,
typename MT2,
bool SO >
1267 using Type = AddExprTrait_< ColumnExprTrait_<const MT1>
1268 , ColumnExprTrait_<const MT2> >;
ConstIterator end(size_t i) const
Returns an iterator just past the last non-zero element of row i.
Definition: DMatDMatAddExpr.h:537
#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.
bool operator>(const ConstIterator &rhs) const
Greater-than comparison between two ConstIterator objects.
Definition: DMatDMatAddExpr.h:360
ConstIterator & operator++()
Pre-increment operator.
Definition: DMatDMatAddExpr.h:262
DMatDMatAddExpr(const MT1 &lhs, const MT2 &rhs) noexcept
Constructor for the DMatDMatAddExpr class.
Definition: DMatDMatAddExpr.h:462
ConstIterator & operator+=(size_t inc)
Addition assignment operator.
Definition: DMatDMatAddExpr.h:237
ConstIterator(LeftIteratorType left, RightIteratorType right)
Constructor for the ConstIterator class.
Definition: DMatDMatAddExpr.h:225
PointerType pointer
Pointer return type.
Definition: DMatDMatAddExpr.h:208
ConstIterator & operator-=(size_t dec)
Subtraction assignment operator.
Definition: DMatDMatAddExpr.h:250
ptrdiff_t DifferenceType
Difference between two iterators.
Definition: DMatDMatAddExpr.h:203
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.
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.
bool operator<=(const ConstIterator &rhs) const
Less-than comparison between two ConstIterator objects.
Definition: DMatDMatAddExpr.h:371
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*() const
Direct access to the element at the current iterator position.
Definition: DMatDMatAddExpr.h:306
Header file for the ColumnExprTrait class template.
auto load() const noexcept
Access to the SIMD elements of the matrix.
Definition: DMatDMatAddExpr.h:316
bool operator!=(const ConstIterator &rhs) const
Inequality comparison between two ConstIterator objects.
Definition: DMatDMatAddExpr.h:338
If_< IsExpression< MT2 >, const MT2, const MT2 & > RightOperand
Composite type of the right-hand side dense matrix expression.
Definition: DMatDMatAddExpr.h:189
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
ElementType_< MT2 > ET2
Element type of the right-hand side dense matrix expression.
Definition: DMatDMatAddExpr.h:121
Header file for the And class template.
ElementType * PointerType
Pointer return type.
Definition: DMatDMatAddExpr.h:201
Availability of a SIMD addition for the given data types.Depending on the available instruction set (...
Definition: HasSIMDAdd.h:162
Header file for the AddExprTrait class template.
const IfTrue_< returnExpr, ExprReturnType, ElementType > ReturnType
Return type for expression template evaluations.
Definition: DMatDMatAddExpr.h:180
std::random_access_iterator_tag IteratorCategory
The iterator category.
Definition: DMatDMatAddExpr.h:199
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.
ElementType_< ResultType > ElementType
Resulting element type.
Definition: DMatDMatAddExpr.h:177
Header file for the RequiresEvaluation type trait.
Header file for the IsUniLower type trait.
ResultType_< MT2 > RT2
Result type of the right-hand side dense matrix expression.
Definition: DMatDMatAddExpr.h:115
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
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
ResultType_< MT1 > RT1
Result type of the left-hand side dense matrix expression.
Definition: DMatDMatAddExpr.h:114
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
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: DMatDMatAddExpr.h:493
typename T::ReturnType ReturnType_
Alias declaration for nested ReturnType type definitions.The ReturnType_ alias declaration provides a...
Definition: Aliases.h:343
Iterator over the elements of the dense matrix.
Definition: DMatDMatAddExpr.h:195
OppositeType_< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: DMatDMatAddExpr.h:175
AddTrait_< RT1, RT2 > ResultType
Result type for expression template evaluations.
Definition: DMatDMatAddExpr.h:174
Constraint on the data type.
ConstIterator_< MT1 > LeftIteratorType
ConstIterator type of the left-hand side dense matrix expression.
Definition: DMatDMatAddExpr.h:213
Compile time check to query the requirement to evaluate an expression.Via this type trait it is possi...
Definition: RequiresEvaluation.h:72
typename T::CompositeType CompositeType_
Alias declaration for nested CompositeType type definitions.The CompositeType_ alias declaration prov...
Definition: Aliases.h:83
RightIteratorType right_
Iterator to the current right-hand side element.
Definition: DMatDMatAddExpr.h:437
Expression object for dense matrix-dense matrix additions.The DMatDMatAddExpr class represents the co...
Definition: DMatDMatAddExpr.h:108
Header file for the IsTemporary type trait class.
Header file for the IsStrictlyUpper type trait.
ConstIterator begin(size_t i) const
Returns an iterator to the first non-zero element of row i.
Definition: DMatDMatAddExpr.h:526
Header file for the IsSymmetric type trait.
typename AddExprTrait< T1, T2 >::Type AddExprTrait_
Auxiliary alias declaration for the AddExprTrait class template.The AddExprTrait_ alias declaration p...
Definition: AddExprTrait.h:219
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
Header file for the If class template.
const ConstIterator operator--(int)
Post-decrement operator.
Definition: DMatDMatAddExpr.h:296
const Element * ConstIterator
Iterator over constant elements.
Definition: CompressedMatrix.h:2647
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: DMatDMatAddExpr.h:589
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
Header file for the Or class template.
IfTrue_< useAssign, const ResultType, const DMatDMatAddExpr & > CompositeType
Data type for composite expression templates.
Definition: DMatDMatAddExpr.h:183
#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 HasSIMDAdd type trait.
ConstIterator & operator--()
Pre-decrement operator.
Definition: DMatDMatAddExpr.h:284
Header file for the DenseMatrix base class.
Header file for the Columns type trait.
ReturnType_< MT2 > RN2
Return type of the right-hand side dense matrix expression.
Definition: DMatDMatAddExpr.h:117
CompositeType_< MT2 > CT2
Composite type of the right-hand side dense matrix expression.
Definition: DMatDMatAddExpr.h:119
friend const ConstIterator operator+(const ConstIterator &it, size_t inc)
Addition between a ConstIterator and an integral value.
Definition: DMatDMatAddExpr.h:405
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.
Base class for all matrix/matrix addition expression templates.The MatMatAddExpr class serves as a ta...
Definition: MatMatAddExpr.h:65
ReferenceType reference
Reference return type.
Definition: DMatDMatAddExpr.h:209
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: DMatDMatAddExpr.h:602
Header file for the IsLower type trait.
Header file for the IsAligned type trait.
bool operator<(const ConstIterator &rhs) const
Less-than comparison between two ConstIterator objects.
Definition: DMatDMatAddExpr.h:349
#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
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: DMatDMatAddExpr.h:547
Constraints on the storage order of matrix types.
bool operator==(const ConstIterator &rhs) const
Equality comparison between two ConstIterator objects.
Definition: DMatDMatAddExpr.h:327
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: DMatDMatAddExpr.h:557
Header file for the exception macros of the math module.
If_< IsExpression< MT1 >, const MT1, const MT1 & > LeftOperand
Composite type of the left-hand side dense matrix expression.
Definition: DMatDMatAddExpr.h:186
BLAZE_ALWAYS_INLINE auto load(size_t i, size_t j) const noexcept
Access to the SIMD elements of the matrix.
Definition: DMatDMatAddExpr.h:511
#define BLAZE_CONSTRAINT_MUST_FORM_VALID_MATMATADDEXPR(T1, T2)
Constraint on the data type.In case the given data types T1 and T2 do not form a valid matrix/matrix ...
Definition: MatMatAddExpr.h:109
AddExprTrait_< RN1, RN2 > ExprReturnType
Expression return type for the subscript operator.
Definition: DMatDMatAddExpr.h:134
bool canSMPAssign() const noexcept
Returns whether the expression can be used in SMP assignments.
Definition: DMatDMatAddExpr.h:622
Header file for the RowExprTrait class template.
Header file for all forward declarations for expression class templates.
RightOperand rhs_
Right-hand side dense matrix of the addition expression.
Definition: DMatDMatAddExpr.h:631
Header file for the EnableIf class template.
Header file for the IsStrictlyLower type trait.
DifferenceType operator-(const ConstIterator &rhs) const
Calculating the number of elements between two iterators.
Definition: DMatDMatAddExpr.h:393
Header file for the IsPadded type trait.
bool isAligned() const noexcept
Returns whether the operands of the expression are properly aligned in memory.
Definition: DMatDMatAddExpr.h:612
Header file for the SubmatrixExprTrait class template.
Header file for run time assertion macros.
Header file for the addition trait.
ElementType & ReferenceType
Reference return type.
Definition: DMatDMatAddExpr.h:202
ElementType_< MT1 > ET1
Element type of the left-hand side dense matrix expression.
Definition: DMatDMatAddExpr.h:120
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
Constraint on the data type.
ElementType ValueType
Type of the underlying elements.
Definition: DMatDMatAddExpr.h:200
LeftOperand leftOperand() const noexcept
Returns the left-hand side dense matrix operand.
Definition: DMatDMatAddExpr.h:567
Header file for the MatMatAddExpr base class.
IntegralConstant< bool, B > BoolConstant
Generic wrapper for a compile time constant boolean value.The BoolConstant class template represents ...
Definition: IntegralConstant.h:100
const ConstIterator operator++(int)
Post-increment operator.
Definition: DMatDMatAddExpr.h:274
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
friend const ConstIterator operator+(size_t inc, const ConstIterator &it)
Addition between an integral value and a ConstIterator.
Definition: DMatDMatAddExpr.h:417
ReturnType_< MT1 > RN1
Return type of the left-hand side dense matrix expression.
Definition: DMatDMatAddExpr.h:116
typename T::ConstIterator ConstIterator_
Alias declaration for nested ConstIterator type definitions.The ConstIterator_ alias declaration prov...
Definition: Aliases.h:103
RightOperand rightOperand() const noexcept
Returns the right-hand side dense matrix operand.
Definition: DMatDMatAddExpr.h:577
ConstIterator_< MT2 > RightIteratorType
ConstIterator type of the right-hand side dense matrix expression.
Definition: DMatDMatAddExpr.h:216
LeftIteratorType left_
Iterator to the current left-hand side element.
Definition: DMatDMatAddExpr.h:436
Base class for all compute expression templates.The Computation class serves as a tag for all computa...
Definition: Computation.h:59
IteratorCategory iterator_category
The iterator category.
Definition: DMatDMatAddExpr.h:206
LeftOperand lhs_
Left-hand side dense matrix of the addition expression.
Definition: DMatDMatAddExpr.h:630
#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.
friend const ConstIterator operator-(const ConstIterator &it, size_t dec)
Subtraction between a ConstIterator and an integral value.
Definition: DMatDMatAddExpr.h:429
bool operator>=(const ConstIterator &rhs) const
Greater-than comparison between two ConstIterator objects.
Definition: DMatDMatAddExpr.h:382
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.
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: DMatDMatAddExpr.h:478
Header file for the IsHermitian type trait.
System settings for the inline keywords.
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: DMatDMatAddExpr.h:176
Header file for the thresholds for matrix/vector and matrix/matrix multiplications.
DifferenceType difference_type
Difference between two iterators.
Definition: DMatDMatAddExpr.h:210
CompositeType_< MT1 > CT1
Composite type of the left-hand side dense matrix expression.
Definition: DMatDMatAddExpr.h:118
typename AddTrait< T1, T2 >::Type AddTrait_
Auxiliary alias declaration for the AddTrait class template.The AddTrait_ alias declaration provides ...
Definition: AddTrait.h:245
#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
DMatDMatAddExpr< MT1, MT2, SO > This
Type of this DMatDMatAdd instance.
Definition: DMatDMatAddExpr.h:173
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.
ValueType value_type
Type of the underlying elements.
Definition: DMatDMatAddExpr.h:207