35 #ifndef _BLAZE_MATH_EXPRESSIONS_DMATDMATADDEXPR_H_ 36 #define _BLAZE_MATH_EXPRESSIONS_DMATDMATADDEXPR_H_ 103 template<
typename MT1
107 :
public MatMatAddExpr< DenseMatrix< DMatDMatAddExpr<MT1,MT2,SO>, SO > >
146 template<
typename MT >
149 enum :
bool { value = useAssign };
162 template<
typename MT >
163 struct UseSMPAssign {
164 enum :
bool { value = ( !MT1::smpAssignable || !MT2::smpAssignable ) && useAssign };
305 return (*left_) + (*right_);
314 inline auto load() const noexcept {
315 return left_.load() + right_.load();
326 return left_ == rhs.
left_;
337 return left_ != rhs.
left_;
348 return left_ < rhs.
left_;
359 return left_ > rhs.
left_;
370 return left_ <= rhs.
left_;
381 return left_ >= rhs.
left_;
392 return left_ - rhs.
left_;
442 enum :
bool { simdEnabled = MT1::simdEnabled && MT2::simdEnabled &&
446 enum :
bool { smpAssignable = MT1::smpAssignable && MT2::smpAssignable };
492 if( i >=
lhs_.rows() ) {
495 if( j >=
lhs_.columns() ) {
514 return lhs_.load(i,j) +
rhs_.load(i,j);
545 inline size_t rows() const noexcept {
556 return lhs_.columns();
586 template<
typename T >
587 inline bool canAlias(
const T* alias )
const noexcept {
599 template<
typename T >
600 inline bool isAliased(
const T* alias )
const noexcept {
601 return (
lhs_.isAliased( alias ) ||
rhs_.isAliased( alias ) );
611 return lhs_.isAligned() &&
rhs_.isAligned();
621 return lhs_.canSMPAssign() ||
rhs_.canSMPAssign() ||
622 (
rows() *
columns() >= SMP_DMATDMATADD_THRESHOLD );
646 template<
typename MT
657 addAssign( ~lhs, rhs.
rhs_ );
660 addAssign( ~lhs, rhs.
lhs_ );
663 assign ( ~lhs, rhs.
lhs_ );
664 addAssign( ~lhs, rhs.
rhs_ );
684 template<
typename MT
703 const TmpType tmp(
serial( rhs ) );
723 template<
typename MT
733 addAssign( ~lhs, rhs.
lhs_ );
734 addAssign( ~lhs, rhs.
rhs_ );
757 template<
typename MT
767 subAssign( ~lhs, rhs.
lhs_ );
768 subAssign( ~lhs, rhs.
rhs_ );
791 template<
typename MT
806 schurAssign( ~lhs, tmp );
837 template<
typename MT
875 template<
typename MT
894 const TmpType tmp( rhs );
914 template<
typename MT
948 template<
typename MT
982 template<
typename MT
1061 template<
typename MT1
1064 inline decltype(
auto)
1089 template<
typename MT1,
typename MT2,
bool SO >
1090 struct Rows< DMatDMatAddExpr<MT1,MT2,SO> >
1091 :
public Maximum< Rows<MT1>, Rows<MT2> >
1107 template<
typename MT1,
typename MT2,
bool SO >
1108 struct Columns< DMatDMatAddExpr<MT1,MT2,SO> >
1109 :
public Maximum< Columns<MT1>, Columns<MT2> >
1125 template<
typename MT1,
typename MT2,
bool SO >
1126 struct IsAligned< DMatDMatAddExpr<MT1,MT2,SO> >
1127 :
public BoolConstant< And< IsAligned<MT1>, IsAligned<MT2> >::value >
1143 template<
typename MT1,
typename MT2,
bool SO >
1144 struct IsPadded< DMatDMatAddExpr<MT1,MT2,SO> >
1145 :
public BoolConstant< And< IsPadded<MT1>, IsPadded<MT2> >::value >
1161 template<
typename MT1,
typename MT2,
bool SO >
1163 :
public BoolConstant< IsSymmetric<MT1>::value && IsSymmetric<MT2>::value >
1179 template<
typename MT1,
typename MT2,
bool SO >
1181 :
public BoolConstant< IsHermitian<MT1>::value && IsHermitian<MT2>::value >
1197 template<
typename MT1,
typename MT2,
bool SO >
1198 struct IsLower< DMatDMatAddExpr<MT1,MT2,SO> >
1199 :
public BoolConstant< And< IsLower<MT1>, IsLower<MT2> >::value >
1215 template<
typename MT1,
typename MT2,
bool SO >
1216 struct IsUniLower< DMatDMatAddExpr<MT1,MT2,SO> >
1217 :
public BoolConstant< Or< And< IsUniLower<MT1>, IsStrictlyLower<MT2> >
1218 , And< IsUniLower<MT2>, IsStrictlyLower<MT1> > >::value >
1234 template<
typename MT1,
typename MT2,
bool SO >
1236 :
public BoolConstant< And< IsStrictlyLower<MT1>, IsStrictlyLower<MT2> >::value >
1252 template<
typename MT1,
typename MT2,
bool SO >
1253 struct IsUpper< DMatDMatAddExpr<MT1,MT2,SO> >
1254 :
public BoolConstant< And< IsUpper<MT1>, IsUpper<MT2> >::value >
1270 template<
typename MT1,
typename MT2,
bool SO >
1271 struct IsUniUpper< DMatDMatAddExpr<MT1,MT2,SO> >
1272 :
public BoolConstant< Or< And< IsUniUpper<MT1>, IsStrictlyUpper<MT2> >
1273 , And< IsUniUpper<MT2>, IsStrictlyUpper<MT1> > >::value >
1289 template<
typename MT1,
typename MT2,
bool SO >
1291 :
public BoolConstant< And< IsStrictlyUpper<MT1>, IsStrictlyUpper<MT2> >::value >
ReturnType operator*() const
Direct access to the element at the current iterator position.
Definition: DMatDMatAddExpr.h:304
bool operator>(const ConstIterator &rhs) const
Greater-than comparison between two ConstIterator objects.
Definition: DMatDMatAddExpr.h:358
#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:205
Header file for auxiliary alias declarations.
ConstIterator & operator++()
Pre-increment operator.
Definition: DMatDMatAddExpr.h:260
DMatDMatAddExpr(const MT1 &lhs, const MT2 &rhs) noexcept
Constructor for the DMatDMatAddExpr class.
Definition: DMatDMatAddExpr.h:460
ConstIterator & operator+=(size_t inc)
Addition assignment operator.
Definition: DMatDMatAddExpr.h:235
ConstIterator(LeftIteratorType left, RightIteratorType right)
Constructor for the ConstIterator class.
Definition: DMatDMatAddExpr.h:223
ConstIterator & operator-=(size_t dec)
Subtraction assignment operator.
Definition: DMatDMatAddExpr.h:248
Compile time check whether the given type is a temporary vector or matrix type.This type trait class ...
Definition: IsTemporary.h:70
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: DMatDMatAddExpr.h:174
Header file for the Rows type trait.
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:786
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:71
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
Generic wrapper for a compile time constant integral value.The IntegralConstant class template repres...
Definition: IntegralConstant.h:71
#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:211
const IfTrue_< returnExpr, ExprReturnType, ElementType > ReturnType
Return type for expression template evaluations.
Definition: DMatDMatAddExpr.h:178
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:88
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:184
Header file for the Computation base class.
ElementType_< ResultType > ElementType
Resulting element type.
Definition: DMatDMatAddExpr.h:175
Compile time check for upper triangular matrices.This type trait tests whether or not the given templ...
Definition: IsUpper.h:88
ReturnType_< MT1 > RN1
Return type of the left-hand side dense matrix expression.
Definition: DMatDMatAddExpr.h:114
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: DMatDMatAddExpr.h:600
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: DMatDMatAddExpr.h:555
Header file for the RequiresEvaluation type trait.
LeftOperand leftOperand() const noexcept
Returns the left-hand side dense matrix operand.
Definition: DMatDMatAddExpr.h:565
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:181
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:78
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:118
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:193
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: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:435
ConstIterator begin(size_t i) const
Returns an iterator to the first non-zero element of row i.
Definition: DMatDMatAddExpr.h:524
ElementType & ReferenceType
Reference return type.
Definition: DMatDMatAddExpr.h:200
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:325
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: DMatDMatAddExpr.h:545
Expression object for dense matrix-dense matrix additions.The DMatDMatAddExpr class represents the co...
Definition: DMatDMatAddExpr.h:106
Header file for the IsTemporary type trait class.
CompositeType_< MT2 > CT2
Composite type of the right-hand side dense matrix expression.
Definition: DMatDMatAddExpr.h:117
Header file for the IsStrictlyUpper type trait.
DifferenceType operator-(const ConstIterator &rhs) const
Calculating the number of elements between two iterators.
Definition: DMatDMatAddExpr.h:391
Header file for the IsSymmetric type trait.
ConstIterator_< MT2 > RightIteratorType
ConstIterator type of the right-hand side dense matrix expression.
Definition: DMatDMatAddExpr.h:214
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: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:294
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:282
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:476
Header file for the Columns type trait.
OppositeType_< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: DMatDMatAddExpr.h:173
ConstIterator end(size_t i) const
Returns an iterator just past the last non-zero element of row i.
Definition: DMatDMatAddExpr.h:535
PointerType pointer
Pointer return type.
Definition: DMatDMatAddExpr.h:206
RightOperand rightOperand() const noexcept
Returns the right-hand side dense matrix operand.
Definition: DMatDMatAddExpr.h:575
const Element * ConstIterator
Iterator over constant elements.
Definition: CompressedMatrix.h:3087
friend const ConstIterator operator+(const ConstIterator &it, size_t inc)
Addition between a ConstIterator and an integral value.
Definition: DMatDMatAddExpr.h:403
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:116
Header file for the IsLower type trait.
bool operator<(const ConstIterator &rhs) const
Less-than comparison between two ConstIterator objects.
Definition: DMatDMatAddExpr.h:347
BLAZE_ALWAYS_INLINE auto load(size_t i, size_t j) const noexcept
Access to the SIMD elements of the matrix.
Definition: DMatDMatAddExpr.h:509
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:119
AddExprTrait_< RN1, RN2 > ExprReturnType
Expression return type for the subscript operator.
Definition: DMatDMatAddExpr.h:132
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:587
ElementType ValueType
Type of the underlying elements.
Definition: DMatDMatAddExpr.h:198
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:108
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: DMatDMatAddExpr.h:491
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:629
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:314
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:610
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:172
Header file for run time assertion macros.
Header file for the addition trait.
ReferenceType reference
Reference return type.
Definition: DMatDMatAddExpr.h:207
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:115
ResultType_< MT1 > RT1
Result type of the left-hand side dense matrix expression.
Definition: DMatDMatAddExpr.h:112
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:819
#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:272
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:415
bool operator>=(const ConstIterator &rhs) const
Greater-than comparison between two ConstIterator objects.
Definition: DMatDMatAddExpr.h:380
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:3082
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:620
bool operator<=(const ConstIterator &rhs) const
Less-than comparison between two ConstIterator objects.
Definition: DMatDMatAddExpr.h:369
std::random_access_iterator_tag IteratorCategory
The iterator category.
Definition: DMatDMatAddExpr.h:197
If_< IsExpression< MT2 >, const MT2, const MT2 &> RightOperand
Composite type of the right-hand side dense matrix expression.
Definition: DMatDMatAddExpr.h:187
LeftIteratorType left_
Iterator to the current left-hand side element.
Definition: DMatDMatAddExpr.h:434
IteratorCategory iterator_category
The iterator category.
Definition: DMatDMatAddExpr.h:204
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:199
LeftOperand lhs_
Left-hand side dense matrix of the addition expression.
Definition: DMatDMatAddExpr.h:628
Header file for the IntegralConstant class template.
Compile time evaluation of the number of columns of a matrix.The Columns type trait evaluates the num...
Definition: Columns.h:75
Compile time evaluation of the number of rows of a matrix.The Rows type trait evaluates the number of...
Definition: Rows.h:75
friend const ConstIterator operator-(const ConstIterator &it, size_t dec)
Subtraction between a ConstIterator and an integral value.
Definition: DMatDMatAddExpr.h:427
bool operator!=(const ConstIterator &rhs) const
Inequality comparison between two ConstIterator objects.
Definition: DMatDMatAddExpr.h:336
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 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:250
#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:113
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.