35 #ifndef _BLAZE_MATH_EXPRESSIONS_DMATSCALARDIVEXPR_H_ 36 #define _BLAZE_MATH_EXPRESSIONS_DMATSCALARDIVEXPR_H_ 101 template<
typename MT
137 static constexpr
bool useAssign = IsComputation_v<MT> && RequiresEvaluation_v<MT>;
140 template<
typename MT2 >
142 static constexpr
bool UseAssign_v =
useAssign;
154 template<
typename MT2 >
155 static constexpr
bool UseSMPAssign_v =
299 inline auto load() const noexcept {
428 ( MT::simdEnabled && IsNumeric_v<ET> &&
429 ( HasSIMDDiv_v<ET,ST> || HasSIMDDiv_v<UnderlyingElement_t<ET>,ST> ) );
528 inline size_t rows() const noexcept {
569 template<
typename T >
570 inline bool canAlias(
const T* alias )
const noexcept {
571 return IsExpression_v<MT> &&
matrix_.canAlias( alias );
581 template<
typename T >
582 inline bool isAliased(
const T* alias )
const noexcept {
583 return matrix_.isAliased( alias );
603 return matrix_.canSMPAssign() ||
604 (
rows() *
columns() >= SMP_DMATSCALARMULT_THRESHOLD );
628 template<
typename MT2
638 assign( ~lhs, rhs.matrix_ );
639 assign( ~lhs, (~lhs) / rhs.scalar_ );
658 template<
typename MT2
668 assign( ~lhs, rhs.matrix_ );
669 (~lhs) /= rhs.scalar_;
688 template<
typename MT2
690 friend inline auto addAssign( DenseMatrix<MT2,SO2>& lhs,
const DMatScalarDivExpr& rhs )
691 -> EnableIf_t< UseAssign_v<MT2> >
703 addAssign( ~lhs, tmp );
726 template<
typename MT2
728 friend inline auto subAssign( DenseMatrix<MT2,SO2>& lhs,
const DMatScalarDivExpr& rhs )
729 -> EnableIf_t< UseAssign_v<MT2> >
741 subAssign( ~lhs, tmp );
764 template<
typename MT2
766 friend inline auto schurAssign( DenseMatrix<MT2,SO2>& lhs,
const DMatScalarDivExpr& rhs )
767 -> EnableIf_t< UseAssign_v<MT2> >
779 schurAssign( ~lhs, tmp );
810 template<
typename MT2
813 -> EnableIf_t< UseSMPAssign_v<MT2> >
840 template<
typename MT2
843 -> EnableIf_t< UseSMPAssign_v<MT2> >
851 (~lhs) /= rhs.scalar_;
870 template<
typename MT2
873 -> EnableIf_t< UseSMPAssign_v<MT2> >
908 template<
typename MT2
911 -> EnableIf_t< UseSMPAssign_v<MT2> >
946 template<
typename MT2
949 -> EnableIf_t< UseSMPAssign_v<MT2> >
1005 template<
typename MT
1008 struct DMatScalarDivExprHelper
1012 using ScalarType = If_t< IsFloatingPoint_v< UnderlyingBuiltin_t<MT> > ||
1013 IsFloatingPoint_v< UnderlyingBuiltin_t<ST> >
1014 , If_t< IsComplex_v< UnderlyingNumeric_t<MT> > && IsBuiltin_v<ST>
1015 , DivTrait_t< UnderlyingBuiltin_t<MT>, ST >
1016 , DivTrait_t< UnderlyingNumeric_t<MT>, ST > >
1022 using Type = If_t< IsInvertible_v<ScalarType>
1023 , DMatScalarMultExpr<MT,ScalarType,SO>
1024 , DMatScalarDivExpr<MT,ScalarType,SO> >;
1053 template<
typename MT
1056 , EnableIf_t< IsNumeric_v<ST> >* =
nullptr >
1057 inline decltype(
auto) operator/( const
DenseMatrix<MT,SO>& mat, ST scalar )
1063 using ReturnType =
typename DMatScalarDivExprHelper<MT,ST,SO>::Type;
1066 if( IsMultExpr_v<ReturnType> ) {
1067 return ReturnType( ~mat, ScalarType(1)/ScalarType(scalar) );
1097 template<
typename MT
1101 , EnableIf_t< IsNumeric_v<ST2> && ( IsInvertible_v<ST1> || IsInvertible_v<ST2> ) >* =
nullptr >
1102 inline decltype(
auto) operator*( const DMatScalarDivExpr<MT,ST1,SO>& mat, ST2 scalar )
1106 return mat.leftOperand() * ( scalar / mat.rightOperand() );
1125 template<
typename ST1
1129 , EnableIf_t< IsNumeric_v<ST1> && ( IsInvertible_v<ST1> || IsInvertible_v<ST2> ) >* =
nullptr >
1130 inline decltype(
auto) operator*( ST1 scalar, const DMatScalarDivExpr<MT,ST2,SO>& mat )
1134 return mat.leftOperand() * ( scalar / mat.rightOperand() );
1153 template<
typename MT
1157 , EnableIf_t< IsNumeric_v<ST2> >* =
nullptr >
1158 inline decltype(
auto) operator/( const DMatScalarDivExpr<MT,ST1,SO>& mat, ST2 scalar )
1164 using MultType = MultTrait_t<ST1,ST2>;
1165 using ReturnType =
typename DMatScalarDivExprHelper<MT,MultType,SO>::Type;
1166 using ScalarType = RightOperand_t<ReturnType>;
1168 if( IsMultExpr_v<ReturnType> ) {
1169 return ReturnType( mat.leftOperand(), ScalarType(1)/( mat.rightOperand() * scalar ) );
1172 return ReturnType( mat.leftOperand(), mat.rightOperand() * scalar );
1189 template<
typename MT,
typename ST,
bool SO >
1190 struct IsAligned< DMatScalarDivExpr<MT,ST,SO> >
1191 :
public IsAligned<MT>
1207 template<
typename MT,
typename ST,
bool SO >
1208 struct IsPadded< DMatScalarDivExpr<MT,ST,SO> >
1209 :
public IsPadded<MT>
ptrdiff_t DifferenceType
Difference between two iterators.
Definition: DMatScalarDivExpr.h:193
Header file for the UnderlyingNumeric type trait.
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: DMatScalarDivExpr.h:570
Pointer difference type of the Blaze library.
OppositeType_t< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: DMatScalarDivExpr.h:165
Header file for auxiliary alias declarations.
Constraint on the data type.
bool operator<(const ConstIterator &rhs) const
Less-than comparison between two ConstIterator objects.
Definition: DMatScalarDivExpr.h:332
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: DMatScalarDivExpr.h:538
#define BLAZE_USER_ASSERT(expr, msg)
Run time assertion macro for user checks.In case of an invalid run time expression, the program execution is terminated. The BLAZE_USER_ASSERT macro can be disabled by setting the BLAZE_USER_ASSERT flag to zero or by defining NDEBUG during the compilation.
Definition: Assert.h:117
LeftOperand leftOperand() const noexcept
Returns the left-hand side dense matrix operand.
Definition: DMatScalarDivExpr.h:548
bool operator>(const ConstIterator &rhs) const
Greater-than comparison between two ConstIterator objects.
Definition: DMatScalarDivExpr.h:343
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: DMatScalarDivExpr.h:528
Header file for basic type definitions.
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
DifferenceType operator-(const ConstIterator &rhs) const
Calculating the number of elements between two iterators.
Definition: DMatScalarDivExpr.h:376
Base class for all matrix/scalar division expression templates.The MatScalarDivExpr class serves as a...
Definition: MatScalarDivExpr.h:66
ConstIterator & operator--()
Pre-decrement operator.
Definition: DMatScalarDivExpr.h:268
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 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
typename DivTrait< T1, T2 >::Type DivTrait_t
Auxiliary alias declaration for the DivTrait class template.The DivTrait_t alias declaration provides...
Definition: DivTrait.h:239
ConstIterator begin(size_t i) const
Returns an iterator to the first non-zero element of row i.
Definition: DMatScalarDivExpr.h:507
#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
decltype(std::declval< RN >()/std::declval< ST >()) ExprReturnType
Expression return type for the subscript operator.
Definition: DMatScalarDivExpr.h:126
bool canSMPAssign() const noexcept
Returns whether the expression can be used in SMP assignments.
Definition: DMatScalarDivExpr.h:602
ElementType ValueType
Type of the underlying elements.
Definition: DMatScalarDivExpr.h:190
static constexpr bool smpAssignable
Compilation flag for SMP assignments.
Definition: CompressedMatrix.h:3113
Iterator over the elements of the dense matrix.
Definition: DMatScalarDivExpr.h:185
Expression object for divisions of a dense matrix by a scalar.The DMatScalarDivExpr class represents ...
Definition: DMatScalarDivExpr.h:104
ConstIterator & operator+=(size_t inc)
Addition assignment operator.
Definition: DMatScalarDivExpr.h:224
Header file for the Computation base class.
CompositeType_t< MT > CT
Composite type of the dense matrix expression.
Definition: DMatScalarDivExpr.h:113
Header file for the UnderlyingElement type trait.
auto load() const noexcept
Access to the SIMD elements of the matrix.
Definition: DMatScalarDivExpr.h:299
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
RightOperand rightOperand() const noexcept
Returns the right-hand side scalar operand.
Definition: DMatScalarDivExpr.h:558
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:137
typename T::ElementType ElementType_t
Alias declaration for nested ElementType type definitions.The ElementType_t alias declaration provide...
Definition: Aliases.h:170
ConstIterator & operator-=(size_t dec)
Subtraction assignment operator.
Definition: DMatScalarDivExpr.h:236
Constraint on the data type.
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
bool isAligned() const noexcept
Returns whether the operands of the expression are properly aligned in memory.
Definition: DMatScalarDivExpr.h:592
ElementType * PointerType
Pointer return type.
Definition: DMatScalarDivExpr.h:191
Header file for the IsTemporary type trait class.
Header file for the multiplication trait.
DivTrait_t< RT, ST > ResultType
Result type for expression template evaluations.
Definition: DMatScalarDivExpr.h:164
If_t< useAssign, const ResultType, const DMatScalarDivExpr &> CompositeType
Data type for composite expression templates.
Definition: DMatScalarDivExpr.h:173
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.
Header file for the IsFloatingPoint type trait.
Header file for the UnderlyingBuiltin type trait.
Header file for the IsMultExpr type trait class.
ElementType_t< ResultType > ElementType
Resulting element type.
Definition: DMatScalarDivExpr.h:167
ReturnType operator*() const
Direct access to the element at the current iterator position.
Definition: DMatScalarDivExpr.h:289
bool operator>=(const ConstIterator &rhs) const
Greater-than comparison between two ConstIterator objects.
Definition: DMatScalarDivExpr.h:365
#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
ReferenceType reference
Reference return type.
Definition: DMatScalarDivExpr.h:199
Header file for the DenseMatrix base class.
ElementType_t< MT > ET
Element type of the dense matrix expression.
Definition: DMatScalarDivExpr.h:112
const Element * ConstIterator
Iterator over constant elements.
Definition: CompressedMatrix.h:3086
DMatScalarDivExpr(const MT &matrix, ST scalar) noexcept
Constructor for the DMatScalarDivExpr class.
Definition: DMatScalarDivExpr.h:446
Header file for all SIMD functionality.
ElementType & ReferenceType
Reference return type.
Definition: DMatScalarDivExpr.h:192
ST RightOperand
Composite type of the right-hand side scalar value.
Definition: DMatScalarDivExpr.h:179
#define BLAZE_CONSTRAINT_MUST_BE_SAME_TYPE(A, B)
Data type constraint.In case the two types A and B are not the same (ignoring all cv-qualifiers of bo...
Definition: SameType.h:71
static constexpr bool smpAssignable
Compilation switch for the expression template assignment strategy.
Definition: DMatScalarDivExpr.h:432
Header file for the IsAligned type trait.
IteratorType iterator_
Iterator to the current element.
Definition: DMatScalarDivExpr.h:419
static constexpr size_t SIMDSIZE
The number of elements packed within a single SIMD element.
Definition: DMatScalarDivExpr.h:437
const ConstIterator operator++(int)
Post-increment operator.
Definition: DMatScalarDivExpr.h:258
ReturnType_t< MT > RN
Return type of the dense matrix expression.
Definition: DMatScalarDivExpr.h:111
const If_t< returnExpr, ExprReturnType, ElementType > ReturnType
Return type for expression template evaluations.
Definition: DMatScalarDivExpr.h:170
std::random_access_iterator_tag IteratorCategory
The iterator category.
Definition: DMatScalarDivExpr.h:189
const ConstIterator operator--(int)
Post-decrement operator.
Definition: DMatScalarDivExpr.h:279
Constraints on the storage order of matrix types.
Header file for the exception macros of the math module.
BLAZE_ALWAYS_INLINE auto load(size_t i, size_t j) const noexcept
Access to the SIMD elements of the matrix.
Definition: DMatScalarDivExpr.h:492
RightOperand scalar_
Scalar of the multiplication expression.
Definition: DMatScalarDivExpr.h:420
static constexpr bool simdEnabled
Compilation switch for the expression template evaluation strategy.
Definition: DMatScalarDivExpr.h:427
Constraint on the data type.
Header file for all forward declarations for expression class templates.
Header file for the EnableIf class template.
Header file for the IsPadded type trait.
ConstIterator & operator++()
Pre-increment operator.
Definition: DMatScalarDivExpr.h:247
typename T::OppositeType OppositeType_t
Alias declaration for nested OppositeType type definitions.The OppositeType_t alias declaration provi...
Definition: Aliases.h:270
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: DMatScalarDivExpr.h:459
Header file for the IsNumeric type trait.
ConstIterator end(size_t i) const
Returns an iterator just past the last non-zero element of row i.
Definition: DMatScalarDivExpr.h:518
LeftOperand matrix_
Left-hand side dense matrix of the division expression.
Definition: DMatScalarDivExpr.h:610
RightOperand scalar_
Right-hand side scalar of the division expression.
Definition: DMatScalarDivExpr.h:611
ConstIterator(IteratorType iterator, RightOperand scalar)
Constructor for the ConstIterator class.
Definition: DMatScalarDivExpr.h:212
static constexpr bool returnExpr
Compilation switch for the selection of the subscript operator return type.
Definition: DMatScalarDivExpr.h:123
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.
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
Header file for the division trait.
friend const ConstIterator operator-(const ConstIterator &it, size_t dec)
Subtraction between a ConstIterator and an integral value.
Definition: DMatScalarDivExpr.h:412
Constraint on the data type.
#define BLAZE_CONSTRAINT_MUST_BE_NUMERIC_TYPE(T)
Constraint on the data type.In case the given data type T is not a numeric (integral or floating poin...
Definition: Numeric.h:61
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
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
decltype(auto) serial(const DenseMatrix< MT, SO > &dm)
Forces the serial evaluation of the given dense matrix expression dm.
Definition: DMatSerialExpr.h:808
#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
TransposeType_t< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: DMatScalarDivExpr.h:166
auto smpSchurAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs) -> EnableIf_t< IsDenseMatrix_v< MT1 > >
Default implementation of the SMP Schur product assignment of a matrix to dense matrix.
Definition: DenseMatrix.h:194
bool operator==(const ConstIterator &rhs) const
Equality comparison between two ConstIterator objects.
Definition: DMatScalarDivExpr.h:310
IteratorCategory iterator_category
The iterator category.
Definition: DMatScalarDivExpr.h:196
ValueType value_type
Type of the underlying elements.
Definition: DMatScalarDivExpr.h:197
Header file for the IsInvertible type trait.
PointerType pointer
Pointer return type.
Definition: DMatScalarDivExpr.h:198
#define BLAZE_CONSTRAINT_MUST_NOT_BE_FLOATING_POINT_TYPE(T)
Constraint on the data type.In case the given data type T is a floating point data type...
Definition: FloatingPoint.h:81
ResultType_t< MT > RT
Result type of the dense matrix expression.
Definition: DMatScalarDivExpr.h:110
typename T::ConstIterator ConstIterator_t
Alias declaration for nested ConstIterator type definitions.The ConstIterator_t alias declaration pro...
Definition: Aliases.h:110
const Type & ReturnType
Return type for expression template evaluations.
Definition: CompressedMatrix.h:3081
Header file for the HasSIMDDiv type trait.
Header file for the IsComputation type trait class.
Header file for the IsBuiltin type trait.
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
friend const ConstIterator operator+(const ConstIterator &it, size_t inc)
Addition between a ConstIterator and an integral value.
Definition: DMatScalarDivExpr.h:388
Header file for the IsComplex type trait.
friend const ConstIterator operator+(size_t inc, const ConstIterator &it)
Addition between an integral value and a ConstIterator.
Definition: DMatScalarDivExpr.h:400
ConstIterator_t< MT > IteratorType
ConstIterator type of the dense matrix expression.
Definition: DMatScalarDivExpr.h:203
typename T::RightOperand RightOperand_t
Alias declaration for nested RightOperand type definitions.The RightOperand_t alias declaration provi...
Definition: Aliases.h:430
static constexpr bool useAssign
Compilation switch for the serial evaluation strategy of the division expression. ...
Definition: DMatScalarDivExpr.h:137
Header file for the MatScalarDivExpr base class.
If_t< IsExpression_v< MT >, const MT, const MT &> LeftOperand
Composite type of the left-hand side dense matrix expression.
Definition: DMatScalarDivExpr.h:176
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: DMatScalarDivExpr.h:474
bool operator<=(const ConstIterator &rhs) const
Less-than comparison between two ConstIterator objects.
Definition: DMatScalarDivExpr.h:354
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
bool operator!=(const ConstIterator &rhs) const
Inequality comparison between two ConstIterator objects.
Definition: DMatScalarDivExpr.h:321
Header file for the IsExpression type trait class.
Header file for the function trace functionality.
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: DMatScalarDivExpr.h:582