35 #ifndef _BLAZE_MATH_EXPRESSIONS_DVECDVECMULTEXPR_H_ 36 #define _BLAZE_MATH_EXPRESSIONS_DVECDVECMULTEXPR_H_ 91 template<
typename VT1
95 :
public VecVecMultExpr< DenseVector< DVecDVecMultExpr<VT1,VT2,TF>, TF > >
117 static constexpr
bool returnExpr = ( !IsTemporary_v<RN1> && !IsTemporary_v<RN2> );
132 ( RequiresEvaluation_v<VT1> || RequiresEvaluation_v<VT2> || !
returnExpr );
135 template<
typename VT >
137 static constexpr
bool UseAssign_v =
useAssign;
149 template<
typename VT >
150 static constexpr
bool UseSMPAssign_v =
291 return (*
left_) * (*right_);
300 inline auto load() const noexcept {
429 ( VT1::simdEnabled && VT2::simdEnabled && HasSIMDMult_v<ET1,ET2> );
474 if( index >=
lhs_.size() ) {
477 return (*
this)[index];
490 return lhs_.load( index ) *
rhs_.load( index );
519 inline size_t size() const noexcept {
550 template<
typename T >
551 inline bool canAlias(
const T* alias )
const noexcept {
552 return ( IsExpression_v<VT1> && ( RequiresEvaluation_v<VT1> ?
lhs_.isAliased( alias ) :
lhs_.canAlias( alias ) ) ) ||
553 ( IsExpression_v<VT2> && ( RequiresEvaluation_v<VT2> ?
rhs_.isAliased( alias ) :
rhs_.canAlias( alias ) ) );
563 template<
typename T >
564 inline bool isAliased(
const T* alias )
const noexcept {
565 return (
lhs_.isAliased( alias ) ||
rhs_.isAliased( alias ) );
575 return lhs_.isAligned() &&
rhs_.isAligned();
585 return lhs_.canSMPAssign() ||
rhs_.canSMPAssign() ||
586 (
size() > SMP_DVECDVECMULT_THRESHOLD );
611 template<
typename VT >
619 if( !IsComputation_v<VT1> &&
isSame( ~lhs, rhs.lhs_ ) ) {
620 multAssign( ~lhs, rhs.rhs_ );
625 assign( ~lhs, a * b );
645 template<
typename VT >
653 if( !IsComputation_v<VT1> &&
isSame( ~lhs, rhs.lhs_ ) ) {
654 multAssign( ~lhs, rhs.rhs_ );
656 else if( !IsComputation_v<VT2> &&
isSame( ~lhs, rhs.rhs_ ) ) {
657 multAssign( ~lhs, rhs.lhs_ );
659 else if( !RequiresEvaluation_v<VT2> ) {
660 assign ( ~lhs, rhs.rhs_ );
661 multAssign( ~lhs, rhs.lhs_ );
664 assign ( ~lhs, rhs.lhs_ );
665 multAssign( ~lhs, rhs.rhs_ );
685 template<
typename VT >
686 friend inline auto assign( SparseVector<VT,TF>& lhs,
const DVecDVecMultExpr& rhs )
687 -> EnableIf_t< UseAssign_v<VT> >
717 template<
typename VT >
718 friend inline auto addAssign( DenseVector<VT,TF>& lhs,
const DVecDVecMultExpr& rhs )
719 -> EnableIf_t< UseAssign_v<VT> >
730 addAssign( ~lhs, tmp );
753 template<
typename VT >
754 friend inline auto subAssign( DenseVector<VT,TF>& lhs,
const DVecDVecMultExpr& rhs )
755 -> EnableIf_t< UseAssign_v<VT> >
766 subAssign( ~lhs, tmp );
790 template<
typename VT >
791 friend inline auto multAssign( DenseVector<VT,TF>& lhs,
const DVecDVecMultExpr& rhs )
792 -> EnableIf_t< UseAssign_v<VT> && !IsCommutative_v<VT1,VT2> >
803 multAssign( ~lhs, tmp );
823 template<
typename VT >
824 friend inline auto multAssign( DenseVector<VT,TF>& lhs,
const DVecDVecMultExpr& rhs )
825 -> EnableIf_t< UseAssign_v<VT> && IsCommutative_v<VT1,VT2> >
831 if( !RequiresEvaluation_v<VT2> ) {
832 multAssign( ~lhs, rhs.rhs_ );
833 multAssign( ~lhs, rhs.lhs_ );
836 multAssign( ~lhs, rhs.lhs_ );
837 multAssign( ~lhs, rhs.rhs_ );
861 template<
typename VT >
862 friend inline auto divAssign( DenseVector<VT,TF>& lhs,
const DVecDVecMultExpr& rhs )
863 -> EnableIf_t< UseAssign_v<VT> >
874 divAssign( ~lhs, tmp );
898 template<
typename VT >
900 -> EnableIf_t< UseSMPAssign_v<VT> && !IsCommutative_v<VT1,VT2> >
906 if( !IsComputation_v<VT1> &&
isSame( ~lhs, rhs.lhs_ ) ) {
907 multAssign( ~lhs, rhs.rhs_ );
933 template<
typename VT >
935 -> EnableIf_t< UseSMPAssign_v<VT> && IsCommutative_v<VT1,VT2> >
941 if( !IsComputation_v<VT1> &&
isSame( ~lhs, rhs.lhs_ ) ) {
944 else if( !IsComputation_v<VT2> &&
isSame( ~lhs, rhs.rhs_ ) ) {
947 else if( !RequiresEvaluation_v<VT2> ) {
973 template<
typename VT >
975 -> EnableIf_t< UseSMPAssign_v<VT> >
1005 template<
typename VT >
1007 -> EnableIf_t< UseSMPAssign_v<VT> >
1042 template<
typename VT >
1044 -> EnableIf_t< UseSMPAssign_v<VT> >
1079 template<
typename VT >
1081 -> EnableIf_t< UseSMPAssign_v<VT> && !IsCommutative_v<VT1,VT2> >
1112 template<
typename VT >
1114 -> EnableIf_t< UseSMPAssign_v<VT> && IsCommutative_v<VT1,VT2> >
1120 if( !RequiresEvaluation_v<VT2> ) {
1150 template<
typename VT >
1152 -> EnableIf_t< UseSMPAssign_v<VT> >
1218 template<
typename VT1
1221 inline decltype(
auto)
1226 if( (~lhs).
size() != (~rhs).
size() ) {
1246 template<
typename VT1,
typename VT2,
bool TF >
1247 struct IsAligned< DVecDVecMultExpr<VT1,VT2,TF> >
1248 :
public BoolConstant< IsAligned_v<VT1> && IsAligned_v<VT2> >
1264 template<
typename VT1,
typename VT2,
bool TF >
1265 struct IsPadded< DVecDVecMultExpr<VT1,VT2,TF> >
1266 :
public BoolConstant< IsPadded_v<VT1> && IsPadded_v<VT2> >
RightIteratorType right_
Iterator to the current right-hand side element.
Definition: DVecDVecMultExpr.h:421
#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.
ConstIterator_t< VT1 > LeftIteratorType
ConstIterator type of the left-hand side dense vector expression.
Definition: DVecDVecMultExpr.h:197
CompositeType_t< VT1 > CT1
Composite type of the left-hand side dense vector expression.
Definition: DVecDVecMultExpr.h:104
LeftOperand leftOperand() const noexcept
Returns the left-hand side dense vector operand.
Definition: DVecDVecMultExpr.h:529
ConstIterator & operator++()
Pre-increment operator.
Definition: DVecDVecMultExpr.h:246
ConstIterator(LeftIteratorType left, RightIteratorType right)
Constructor for the ConstIterator class.
Definition: DVecDVecMultExpr.h:209
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:992
Header file for basic type definitions.
ResultType_t< VT2 > RT2
Result type of the right-hand side dense vector expression.
Definition: DVecDVecMultExpr.h:101
typename If< Condition, T1, T2 >::Type If_t
Auxiliary alias declaration for the If class template.The If_t alias declaration provides a convenien...
Definition: If.h:109
TransposeType_t< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: DVecDVecMultExpr.h:160
Iterator over the elements of the dense vector.
Definition: DVecDVecMultExpr.h:179
typename T::ResultType ResultType_t
Alias declaration for nested ResultType type definitions.The ResultType_t alias declaration provides ...
Definition: Aliases.h:390
Header file for the IsCommutative type trait.
Header file for the serial shim.
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: DVecDVecMultExpr.h:551
LeftOperand lhs_
Left-hand side dense vector of the multiplication expression.
Definition: DVecDVecMultExpr.h:592
ReturnType operator*() const
Direct access to the element at the current iterator position.
Definition: DVecDVecMultExpr.h:290
static constexpr bool simdEnabled
Compilation switch for the expression template evaluation strategy.
Definition: DVecDVecMultExpr.h:428
ElementType * PointerType
Pointer return type.
Definition: DVecDVecMultExpr.h:185
ReturnType at(size_t index) const
Checked access to the vector elements.
Definition: DVecDVecMultExpr.h:473
static constexpr bool smpAssignable
Compilation flag for SMP assignments.
Definition: CompressedMatrix.h:3113
DifferenceType operator-(const ConstIterator &rhs) const
Calculating the number of elements between two iterators.
Definition: DVecDVecMultExpr.h:377
decltype(std::declval< RN1 >() *std::declval< RN2 >()) ExprReturnType
Expression return type for the subscript operator.
Definition: DVecDVecMultExpr.h:120
Header file for the DenseVector base class.
LeftIteratorType left_
Iterator to the current left-hand side element.
Definition: DVecDVecMultExpr.h:420
ReturnType_t< VT1 > RN1
Return type of the left-hand side dense vector expression.
Definition: DVecDVecMultExpr.h:102
If_t< IsExpression_v< VT1 >, const VT1, const VT1 &> LeftOperand
Composite type of the left-hand side dense vector expression.
Definition: DVecDVecMultExpr.h:170
Header file for the Computation base class.
PointerType pointer
Pointer return type.
Definition: DVecDVecMultExpr.h:192
Header file for the RequiresEvaluation type trait.
typename T::ReturnType ReturnType_t
Alias declaration for nested ReturnType type definitions.The ReturnType_t alias declaration provides ...
Definition: Aliases.h:410
If_t< useAssign, const ResultType, const DVecDVecMultExpr &> CompositeType
Data type for composite expression templates.
Definition: DVecDVecMultExpr.h:167
typename T::ElementType ElementType_t
Alias declaration for nested ElementType type definitions.The ElementType_t alias declaration provide...
Definition: Aliases.h:170
auto smpDivAssign(Vector< VT1, TF1 > &lhs, const Vector< VT2, TF2 > &rhs) -> EnableIf_t< IsDenseVector_v< VT1 > >
Default implementation of the SMP division assignment of a vector to a dense vector.
Definition: DenseVector.h:220
ElementType ValueType
Type of the underlying elements.
Definition: DVecDVecMultExpr.h:184
ConstIterator begin() const
Returns an iterator to the first non-zero element of the dense vector.
Definition: DVecDVecMultExpr.h:499
bool operator>(const ConstIterator &rhs) const
Greater-than comparison between two ConstIterator objects.
Definition: DVecDVecMultExpr.h:344
CompositeType_t< VT2 > CT2
Composite type of the right-hand side dense vector expression.
Definition: DVecDVecMultExpr.h:105
typename EnableIf< Condition, T >::Type EnableIf_t
Auxiliary type for the EnableIf class template.The EnableIf_t alias declaration provides a convenient...
Definition: EnableIf.h:138
Header file for the IsTemporary type trait class.
const ConstIterator operator++(int)
Post-increment operator.
Definition: DVecDVecMultExpr.h:258
Header file for the multiplication trait.
ReturnType_t< VT2 > RN2
Return type of the right-hand side dense vector expression.
Definition: DVecDVecMultExpr.h:103
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.
bool operator==(const ConstIterator &rhs) const
Equality comparison between two ConstIterator objects.
Definition: DVecDVecMultExpr.h:311
bool isAligned() const noexcept
Returns whether the operands of the expression are properly aligned in memory.
Definition: DVecDVecMultExpr.h:574
bool canSMPAssign() const noexcept
Returns whether the expression can be used in SMP assignments.
Definition: DVecDVecMultExpr.h:584
#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
ConstIterator & operator-=(size_t dec)
Subtraction assignment operator.
Definition: DVecDVecMultExpr.h:234
ElementType_t< ResultType > ElementType
Resulting element type.
Definition: DVecDVecMultExpr.h:161
const Element * ConstIterator
Iterator over constant elements.
Definition: CompressedMatrix.h:3086
Header file for all SIMD functionality.
Base class for N-dimensional dense vectors.The DenseVector class is a base class for all arbitrarily ...
Definition: DenseVector.h:76
RightOperand rightOperand() const noexcept
Returns the right-hand side dense vector operand.
Definition: DVecDVecMultExpr.h:539
Header file for the IsAligned type trait.
auto load() const noexcept
Access to the SIMD elements of the vector.
Definition: DVecDVecMultExpr.h:300
Constraint on the data type.
const ConstIterator operator--(int)
Post-decrement operator.
Definition: DVecDVecMultExpr.h:280
Constraint on the data type.
Header file for the exception macros of the math module.
Header file for the VecVecMultExpr base class.
ResultType_t< VT1 > RT1
Result type of the left-hand side dense vector expression.
Definition: DVecDVecMultExpr.h:100
Constraint on the data type.
Header file for all forward declarations for expression class templates.
ReturnType operator[](size_t index) const
Subscript operator for the direct access to the vector elements.
Definition: DVecDVecMultExpr.h:460
Expression object for dense vector-dense vector multiplications.The DVecDVecMultExpr class represents...
Definition: DVecDVecMultExpr.h:94
ConstIterator_t< VT2 > RightIteratorType
ConstIterator type of the right-hand side dense vector expression.
Definition: DVecDVecMultExpr.h:200
Header file for the EnableIf class template.
Header file for the IsPadded type trait.
ReferenceType reference
Reference return type.
Definition: DVecDVecMultExpr.h:193
size_t size() const noexcept
Returns the current size/dimension of the vector.
Definition: DVecDVecMultExpr.h:519
ElementType & ReferenceType
Reference return type.
Definition: DVecDVecMultExpr.h:186
typename MultTrait< T1, T2 >::Type MultTrait_t
Auxiliary alias declaration for the MultTrait class template.The MultTrait_t alias declaration provid...
Definition: MultTrait.h:240
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: DVecDVecMultExpr.h:564
BLAZE_ALWAYS_INLINE auto load(size_t index) const noexcept
Access to the SIMD elements of the vector.
Definition: DVecDVecMultExpr.h:487
bool operator<(const ConstIterator &rhs) const
Less-than comparison between two ConstIterator objects.
Definition: DVecDVecMultExpr.h:333
ElementType_t< VT2 > ET2
Element type of the right-hand side dense vector expression.
Definition: DVecDVecMultExpr.h:107
Header file for the HasSIMDMult type trait.
static constexpr size_t SIMDSIZE
The number of elements packed within a single SIMD element.
Definition: DVecDVecMultExpr.h:437
static constexpr bool returnExpr
Compilation switch for the selection of the subscript operator return type.
Definition: DVecDVecMultExpr.h:117
typename T::TransposeType TransposeType_t
Alias declaration for nested TransposeType type definitions.The TransposeType_t alias declaration pro...
Definition: Aliases.h:470
Header file for run time assertion macros.
bool operator!=(const ConstIterator &rhs) const
Inequality comparison between two ConstIterator objects.
Definition: DVecDVecMultExpr.h:322
typename T::CompositeType CompositeType_t
Alias declaration for nested CompositeType type definitions.The CompositeType_t alias declaration pro...
Definition: Aliases.h:90
auto smpAddAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs) -> EnableIf_t< IsDenseMatrix_v< MT1 > >
Default implementation of the SMP addition assignment of a matrix to a dense matrix.
Definition: DenseMatrix.h:131
SIMD characteristics of data types.The SIMDTrait class template provides the SIMD characteristics of ...
Definition: SIMDTrait.h:295
#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
DVecDVecMultExpr(const VT1 &lhs, const VT2 &rhs) noexcept
Constructor for the DVecDVecMultExpr class.
Definition: DVecDVecMultExpr.h:446
constexpr size_t size(const Matrix< MT, SO > &matrix) noexcept
Returns the total number of elements of the matrix.
Definition: Matrix.h:530
ConstIterator & operator--()
Pre-decrement operator.
Definition: DVecDVecMultExpr.h:268
auto smpAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs) -> EnableIf_t< IsDenseMatrix_v< MT1 > >
Default implementation of the SMP assignment of a matrix to a dense matrix.
Definition: DenseMatrix.h:100
friend const ConstIterator operator+(const ConstIterator &it, size_t inc)
Addition between a ConstIterator and an integral value.
Definition: DVecDVecMultExpr.h:389
decltype(auto) serial(const DenseMatrix< MT, SO > &dm)
Forces the serial evaluation of the given dense matrix expression dm.
Definition: DMatSerialExpr.h:808
std::random_access_iterator_tag IteratorCategory
The iterator category.
Definition: DVecDVecMultExpr.h:183
If_t< IsExpression_v< VT2 >, const VT2, const VT2 &> RightOperand
Composite type of the right-hand side dense vector expression.
Definition: DVecDVecMultExpr.h:173
#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
IntegralConstant< bool, B > BoolConstant
Generic wrapper for a compile time constant boolean value.The BoolConstant class template represents ...
Definition: IntegralConstant.h:101
bool operator<=(const ConstIterator &rhs) const
Less-than comparison between two ConstIterator objects.
Definition: DVecDVecMultExpr.h:355
ConstIterator end() const
Returns an iterator just past the last non-zero element of the dense vector.
Definition: DVecDVecMultExpr.h:509
typename T::ConstIterator ConstIterator_t
Alias declaration for nested ConstIterator type definitions.The ConstIterator_t alias declaration pro...
Definition: Aliases.h:110
IteratorCategory iterator_category
The iterator category.
Definition: DVecDVecMultExpr.h:190
const Type & ReturnType
Return type for expression template evaluations.
Definition: CompressedMatrix.h:3081
#define BLAZE_CONSTRAINT_MUST_BE_DENSE_VECTOR_TYPE(T)
Constraint on the data type.In case the given data type T is not a dense, N-dimensional vector type...
Definition: DenseVector.h:61
const If_t< returnExpr, ExprReturnType, ElementType > ReturnType
Return type for expression template evaluations.
Definition: DVecDVecMultExpr.h:164
ElementType_t< VT1 > ET1
Element type of the left-hand side dense vector expression.
Definition: DVecDVecMultExpr.h:106
Constraint on the data type.
#define BLAZE_CONSTRAINT_MUST_FORM_VALID_VECVECMULTEXPR(T1, T2)
Constraint on the data type.In case the given data types T1 and T2 do not form a valid vector/vector ...
Definition: VecVecMultExpr.h:104
friend const ConstIterator operator-(const ConstIterator &it, size_t dec)
Subtraction between a ConstIterator and an integral value.
Definition: DVecDVecMultExpr.h:413
Header file for the IsComputation type trait class.
auto smpSubAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs) -> EnableIf_t< IsDenseMatrix_v< MT1 > >
Default implementation of the SMP subtraction assignment of a matrix to dense matrix.
Definition: DenseMatrix.h:162
Base class for all compute expression templates.The Computation class serves as a tag for all computa...
Definition: Computation.h:66
ptrdiff_t DifferenceType
Difference between two iterators.
Definition: DVecDVecMultExpr.h:187
Header file for the IntegralConstant class template.
static constexpr bool smpAssignable
Compilation switch for the expression template assignment strategy.
Definition: DVecDVecMultExpr.h:432
RightOperand rhs_
Right-hand side dense vector of the multiplication expression.
Definition: DVecDVecMultExpr.h:593
MultTrait_t< RT1, RT2 > ResultType
Result type for expression template evaluations.
Definition: DVecDVecMultExpr.h:159
static constexpr bool useAssign
Compilation switch for the serial evaluation strategy of the multiplication expression.
Definition: DVecDVecMultExpr.h:131
ConstIterator & operator+=(size_t inc)
Addition assignment operator.
Definition: DVecDVecMultExpr.h:221
friend const ConstIterator operator+(size_t inc, const ConstIterator &it)
Addition between an integral value and a ConstIterator.
Definition: DVecDVecMultExpr.h:401
System settings for the inline keywords.
ValueType value_type
Type of the underlying elements.
Definition: DVecDVecMultExpr.h:191
#define BLAZE_CONSTRAINT_MUST_BE_VECTOR_WITH_TRANSPOSE_FLAG(T, TF)
Constraint on the data type.In case the given data type T is not a dense or sparse vector type and in...
Definition: TransposeFlag.h:63
Header file for the thresholds for matrix/vector and matrix/matrix multiplications.
Base class for all vector/vector multiplication expression templates.The VecVecMultExpr class serves ...
Definition: VecVecMultExpr.h:66
#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
bool operator>=(const ConstIterator &rhs) const
Greater-than comparison between two ConstIterator objects.
Definition: DVecDVecMultExpr.h:366
auto smpMultAssign(Vector< VT1, TF1 > &lhs, const Vector< VT2, TF2 > &rhs) -> EnableIf_t< IsDenseVector_v< VT1 > >
Default implementation of the SMP multiplication assignment of a vector to a dense vector...
Definition: DenseVector.h:191
Header file for the IsExpression type trait class.
Header file for the function trace functionality.