35 #ifndef _BLAZE_MATH_EXPRESSIONS_DMATDMATADDEXPR_H_ 36 #define _BLAZE_MATH_EXPRESSIONS_DMATDMATADDEXPR_H_ 101 template<
typename MT1
105 :
public MatMatAddExpr< DenseMatrix< DMatDMatAddExpr<MT1,MT2,SO>, SO > >
144 template<
typename MT >
147 enum :
bool { value = useAssign };
160 template<
typename MT >
161 struct UseSMPAssign {
162 enum :
bool { value = ( !MT1::smpAssignable || !MT2::smpAssignable ) && useAssign };
303 return (*left_) + (*right_);
312 inline auto load() const noexcept {
313 return left_.load() + right_.load();
324 return left_ == rhs.
left_;
335 return left_ != rhs.
left_;
346 return left_ < rhs.
left_;
357 return left_ > rhs.
left_;
368 return left_ <= rhs.
left_;
379 return left_ >= rhs.
left_;
390 return left_ - rhs.
left_;
440 enum :
bool { simdEnabled = MT1::simdEnabled && MT2::simdEnabled &&
444 enum :
bool { smpAssignable = MT1::smpAssignable && MT2::smpAssignable };
490 if( i >=
lhs_.rows() ) {
493 if( j >=
lhs_.columns() ) {
512 return lhs_.load(i,j) +
rhs_.load(i,j);
543 inline size_t rows() const noexcept {
554 return lhs_.columns();
584 template<
typename T >
585 inline bool canAlias(
const T* alias )
const noexcept {
597 template<
typename T >
598 inline bool isAliased(
const T* alias )
const noexcept {
599 return (
lhs_.isAliased( alias ) ||
rhs_.isAliased( alias ) );
609 return lhs_.isAligned() &&
rhs_.isAligned();
619 return lhs_.canSMPAssign() ||
rhs_.canSMPAssign() ||
620 (
rows() *
columns() >= SMP_DMATDMATADD_THRESHOLD );
644 template<
typename MT
655 addAssign( ~lhs, rhs.
rhs_ );
658 addAssign( ~lhs, rhs.
lhs_ );
661 assign ( ~lhs, rhs.
lhs_ );
662 addAssign( ~lhs, rhs.
rhs_ );
682 template<
typename MT
701 const TmpType tmp(
serial( rhs ) );
721 template<
typename MT
731 addAssign( ~lhs, rhs.
lhs_ );
732 addAssign( ~lhs, rhs.
rhs_ );
755 template<
typename MT
765 subAssign( ~lhs, rhs.
lhs_ );
766 subAssign( ~lhs, rhs.
rhs_ );
789 template<
typename MT
804 schurAssign( ~lhs, tmp );
835 template<
typename MT
873 template<
typename MT
892 const TmpType tmp( rhs );
912 template<
typename MT
946 template<
typename MT
980 template<
typename MT
1059 template<
typename MT1
1062 inline decltype(
auto)
1087 template<
typename MT1,
typename MT2,
bool SO >
1088 struct Size< DMatDMatAddExpr<MT1,MT2,SO>, 0UL >
1089 :
public Maximum< Size<MT1,0UL>, Size<MT2,0UL> >
1092 template<
typename MT1,
typename MT2,
bool SO >
1093 struct Size< DMatDMatAddExpr<MT1,MT2,SO>, 1UL >
1094 :
public Maximum< Size<MT1,1UL>, Size<MT2,1UL> >
1110 template<
typename MT1,
typename MT2,
bool SO >
1111 struct IsAligned< DMatDMatAddExpr<MT1,MT2,SO> >
1112 :
public And< IsAligned<MT1>, IsAligned<MT2> >
1128 template<
typename MT1,
typename MT2,
bool SO >
1129 struct IsPadded< DMatDMatAddExpr<MT1,MT2,SO> >
1130 :
public And< IsPadded<MT1>, IsPadded<MT2> >
1146 template<
typename MT1,
typename MT2,
bool SO >
1148 :
public And< IsSymmetric<MT1>, IsSymmetric<MT2> >
1164 template<
typename MT1,
typename MT2,
bool SO >
1166 :
public And< IsHermitian<MT1>, IsHermitian<MT2> >
1182 template<
typename MT1,
typename MT2,
bool SO >
1183 struct IsLower< DMatDMatAddExpr<MT1,MT2,SO> >
1184 :
public And< IsLower<MT1>, IsLower<MT2> >
1200 template<
typename MT1,
typename MT2,
bool SO >
1201 struct IsUniLower< DMatDMatAddExpr<MT1,MT2,SO> >
1202 :
public Or< And< IsUniLower<MT1>, IsStrictlyLower<MT2> >
1203 , And< IsUniLower<MT2>, IsStrictlyLower<MT1> > >
1219 template<
typename MT1,
typename MT2,
bool SO >
1221 :
public And< IsStrictlyLower<MT1>, IsStrictlyLower<MT2> >
1237 template<
typename MT1,
typename MT2,
bool SO >
1238 struct IsUpper< DMatDMatAddExpr<MT1,MT2,SO> >
1239 :
public And< IsUpper<MT1>, IsUpper<MT2> >
1255 template<
typename MT1,
typename MT2,
bool SO >
1256 struct IsUniUpper< DMatDMatAddExpr<MT1,MT2,SO> >
1257 :
public Or< And< IsUniUpper<MT1>, IsStrictlyUpper<MT2> >
1258 , And< IsUniUpper<MT2>, IsStrictlyUpper<MT1> > >
1274 template<
typename MT1,
typename MT2,
bool SO >
1276 :
public And< IsStrictlyUpper<MT1>, IsStrictlyUpper<MT2> >
ReturnType operator*() const
Direct access to the element at the current iterator position.
Definition: DMatDMatAddExpr.h:302
bool operator>(const ConstIterator &rhs) const
Greater-than comparison between two ConstIterator objects.
Definition: DMatDMatAddExpr.h:356
#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.
ValueType value_type
Type of the underlying elements.
Definition: DMatDMatAddExpr.h:203
Header file for auxiliary alias declarations.
ConstIterator & operator++()
Pre-increment operator.
Definition: DMatDMatAddExpr.h:258
DMatDMatAddExpr(const MT1 &lhs, const MT2 &rhs) noexcept
Constructor for the DMatDMatAddExpr class.
Definition: DMatDMatAddExpr.h:458
ConstIterator & operator+=(size_t inc)
Addition assignment operator.
Definition: DMatDMatAddExpr.h:233
ConstIterator(LeftIteratorType left, RightIteratorType right)
Constructor for the ConstIterator class.
Definition: DMatDMatAddExpr.h:221
ConstIterator & operator-=(size_t dec)
Subtraction assignment operator.
Definition: DMatDMatAddExpr.h:246
Compile time check whether the given type is a temporary vector or matrix type.This type trait class ...
Definition: IsTemporary.h:69
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: DMatDMatAddExpr.h:172
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
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:949
Header file for basic type definitions.
Compile time check whether the given type is an operational expression template.This type trait class...
Definition: IsOperation.h:70
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.
#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
ConstIterator_< MT1 > LeftIteratorType
ConstIterator type of the left-hand side dense matrix expression.
Definition: DMatDMatAddExpr.h:209
const IfTrue_< returnExpr, ExprReturnType, ElementType > ReturnType
Return type for expression template evaluations.
Definition: DMatDMatAddExpr.h:176
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:87
Availability of a SIMD addition for the given data types.Depending on the available instruction set (...
Definition: HasSIMDAdd.h:171
Header file for the AddExprTrait class template.
If_< IsExpression< MT1 >, const MT1, const MT1 &> LeftOperand
Composite type of the left-hand side dense matrix expression.
Definition: DMatDMatAddExpr.h:182
Header file for the Computation base class.
ElementType_< ResultType > ElementType
Resulting element type.
Definition: DMatDMatAddExpr.h:173
Compile time check for upper triangular matrices.This type trait tests whether or not the given templ...
Definition: IsUpper.h:87
ReturnType_< MT1 > RN1
Return type of the left-hand side dense matrix expression.
Definition: DMatDMatAddExpr.h:112
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: DMatDMatAddExpr.h:598
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: DMatDMatAddExpr.h:553
Header file for the RequiresEvaluation type trait.
LeftOperand leftOperand() const noexcept
Returns the left-hand side dense matrix operand.
Definition: DMatDMatAddExpr.h:563
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
IfTrue_< useAssign, const ResultType, const DMatDMatAddExpr &> CompositeType
Data type for composite expression templates.
Definition: DMatDMatAddExpr.h:179
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:80
Base class for sparse matrices.The SparseMatrix class is a base class for all sparse matrix classes...
Definition: Forward.h:129
ElementType_< MT1 > ET1
Element type of the left-hand side dense matrix expression.
Definition: DMatDMatAddExpr.h:116
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
Iterator over the elements of the dense matrix.
Definition: DMatDMatAddExpr.h:191
Compile time check for the alignment of data types.This type trait tests whether the given data type ...
Definition: IsAligned.h:87
Constraint on the data type.
Header file for the Maximum class template.
Compile time check to query the requirement to evaluate an expression.Via this type trait it is possi...
Definition: RequiresEvaluation.h:71
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:433
ConstIterator begin(size_t i) const
Returns an iterator to the first non-zero element of row i.
Definition: DMatDMatAddExpr.h:522
ElementType & ReferenceType
Reference return type.
Definition: DMatDMatAddExpr.h:198
Compile time check for upper unitriangular matrices.This type trait tests whether or not the given te...
Definition: IsUniUpper.h:86
bool operator==(const ConstIterator &rhs) const
Equality comparison between two ConstIterator objects.
Definition: DMatDMatAddExpr.h:323
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: DMatDMatAddExpr.h:543
Expression object for dense matrix-dense matrix additions.The DMatDMatAddExpr class represents the co...
Definition: DMatDMatAddExpr.h:104
Header file for the IsTemporary type trait class.
CompositeType_< MT2 > CT2
Composite type of the right-hand side dense matrix expression.
Definition: DMatDMatAddExpr.h:115
Header file for the IsStrictlyUpper type trait.
DifferenceType operator-(const ConstIterator &rhs) const
Calculating the number of elements between two iterators.
Definition: DMatDMatAddExpr.h:389
Header file for the IsSymmetric type trait.
ConstIterator_< MT2 > RightIteratorType
ConstIterator type of the right-hand side dense matrix expression.
Definition: DMatDMatAddExpr.h:212
typename AddExprTrait< T1, T2 >::Type AddExprTrait_
Auxiliary alias declaration for the AddExprTrait class template.The AddExprTrait_ alias declaration p...
Definition: AddExprTrait.h:112
Namespace of the Blaze C++ math library.
Definition: Blaze.h:58
#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:292
Compile time check for data types with padding.This type trait tests whether the given data type empl...
Definition: IsPadded.h:76
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:102
Header file for the Or class template.
#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:280
Header file for the DenseMatrix base class.
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: DMatDMatAddExpr.h:474
OppositeType_< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: DMatDMatAddExpr.h:171
ConstIterator end(size_t i) const
Returns an iterator just past the last non-zero element of row i.
Definition: DMatDMatAddExpr.h:533
PointerType pointer
Pointer return type.
Definition: DMatDMatAddExpr.h:204
RightOperand rightOperand() const noexcept
Returns the right-hand side dense matrix operand.
Definition: DMatDMatAddExpr.h:573
const Element * ConstIterator
Iterator over constant elements.
Definition: CompressedMatrix.h:3085
friend const ConstIterator operator+(const ConstIterator &it, size_t inc)
Addition between a ConstIterator and an integral value.
Definition: DMatDMatAddExpr.h:401
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:66
Header file for the IsOperation type trait class.
CompositeType_< MT1 > CT1
Composite type of the left-hand side dense matrix expression.
Definition: DMatDMatAddExpr.h:114
Header file for the IsLower type trait.
bool operator<(const ConstIterator &rhs) const
Less-than comparison between two ConstIterator objects.
Definition: DMatDMatAddExpr.h:345
BLAZE_ALWAYS_INLINE auto load(size_t i, size_t j) const noexcept
Access to the SIMD elements of the matrix.
Definition: DMatDMatAddExpr.h:507
Header file for the IsAligned type trait.
Constraints on the storage order of matrix types.
ElementType_< MT2 > ET2
Element type of the right-hand side dense matrix expression.
Definition: DMatDMatAddExpr.h:117
AddExprTrait_< RN1, RN2 > ExprReturnType
Expression return type for the subscript operator.
Definition: DMatDMatAddExpr.h:130
Compile time check for symmetric matrices.This type trait tests whether or not the given template par...
Definition: IsSymmetric.h:85
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: DMatDMatAddExpr.h:585
ElementType ValueType
Type of the underlying elements.
Definition: DMatDMatAddExpr.h:196
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
#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:107
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: DMatDMatAddExpr.h:489
Constraint on the data type.
Header file for all forward declarations for expression class templates.
RightOperand rhs_
Right-hand side dense matrix of the addition expression.
Definition: DMatDMatAddExpr.h:627
Header file for the EnableIf class template.
Header file for the IsStrictlyLower type trait.
auto load() const noexcept
Access to the SIMD elements of the matrix.
Definition: DMatDMatAddExpr.h:312
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:608
Compile time check for lower unitriangular matrices.This type trait tests whether or not the given te...
Definition: IsUniLower.h:86
AddTrait_< RT1, RT2 > ResultType
Result type for expression template evaluations.
Definition: DMatDMatAddExpr.h:170
Header file for run time assertion macros.
Header file for the addition trait.
ReferenceType reference
Reference return type.
Definition: DMatDMatAddExpr.h:205
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
Constraint on the data type.
SIMD characteristics of data types.The SIMDTrait class template provides the SIMD characteristics of ...
Definition: SIMDTrait.h:296
#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
ReturnType_< MT2 > RN2
Return type of the right-hand side dense matrix expression.
Definition: DMatDMatAddExpr.h:113
ResultType_< MT1 > RT1
Result type of the left-hand side dense matrix expression.
Definition: DMatDMatAddExpr.h:110
Compile time check for Hermitian matrices.This type trait tests whether or not the given template par...
Definition: IsHermitian.h:85
decltype(auto) serial(const DenseMatrix< MT, SO > &dm)
Forces the serial evaluation of the given dense matrix expression dm.
Definition: DMatSerialExpr.h:816
#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
Header file for the MatMatAddExpr base class.
const ConstIterator operator++(int)
Post-increment operator.
Definition: DMatDMatAddExpr.h:270
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
#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:413
bool operator>=(const ConstIterator &rhs) const
Greater-than comparison between two ConstIterator objects.
Definition: DMatDMatAddExpr.h:378
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:3080
typename T::ConstIterator ConstIterator_
Alias declaration for nested ConstIterator type definitions.The ConstIterator_ alias declaration prov...
Definition: Aliases.h:103
bool canSMPAssign() const noexcept
Returns whether the expression can be used in SMP assignments.
Definition: DMatDMatAddExpr.h:618
bool operator<=(const ConstIterator &rhs) const
Less-than comparison between two ConstIterator objects.
Definition: DMatDMatAddExpr.h:367
std::random_access_iterator_tag IteratorCategory
The iterator category.
Definition: DMatDMatAddExpr.h:195
If_< IsExpression< MT2 >, const MT2, const MT2 &> RightOperand
Composite type of the right-hand side dense matrix expression.
Definition: DMatDMatAddExpr.h:185
LeftIteratorType left_
Iterator to the current left-hand side element.
Definition: DMatDMatAddExpr.h:432
IteratorCategory iterator_category
The iterator category.
Definition: DMatDMatAddExpr.h:202
Base class for all compute expression templates.The Computation class serves as a tag for all computa...
Definition: Computation.h:66
ElementType * PointerType
Pointer return type.
Definition: DMatDMatAddExpr.h:197
Compile time logical 'or' evaluation.The Or alias declaration performs at compile time a logical 'or'...
Definition: Or.h:76
LeftOperand lhs_
Left-hand side dense matrix of the addition expression.
Definition: DMatDMatAddExpr.h:626
Compile time evaluation of the size of vectors and matrices.The Size type trait evaluates the size of...
Definition: Size.h:80
friend const ConstIterator operator-(const ConstIterator &it, size_t dec)
Subtraction between a ConstIterator and an integral value.
Definition: DMatDMatAddExpr.h:425
Compile time logical 'and' evaluation.The And alias declaration performs at compile time a logical 'a...
Definition: And.h:76
bool operator!=(const ConstIterator &rhs) const
Inequality comparison between two ConstIterator objects.
Definition: DMatDMatAddExpr.h:334
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.
Header file for the IsHermitian type trait.
System settings for the inline keywords.
Header file for the Size type trait.
Header file for the thresholds for matrix/vector and matrix/matrix multiplications.
typename AddTrait< T1, T2 >::Type AddTrait_
Auxiliary alias declaration for the AddTrait class template.The AddTrait_ alias declaration provides ...
Definition: AddTrait.h:291
#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
ResultType_< MT2 > RT2
Result type of the right-hand side dense matrix expression.
Definition: DMatDMatAddExpr.h:111
Compile time check whether the given type is an expression template.This type trait class tests wheth...
Definition: IsExpression.h:95
Header file for the IsExpression type trait class.
Header file for the function trace functionality.