35 #ifndef _BLAZE_MATH_EXPRESSIONS_DMATSCALARDIVEXPR_H_ 36 #define _BLAZE_MATH_EXPRESSIONS_DMATSCALARDIVEXPR_H_ 110 template<
typename MT
149 template<
typename MT2 >
152 enum :
bool { value = useAssign };
165 template<
typename MT2 >
166 struct UseSMPAssign {
167 enum :
bool { value = ( !MT2::smpAssignable || !MT::smpAssignable ) && useAssign };
224 : iterator_( iterator )
310 inline auto load() const noexcept {
311 return iterator_.load() /
set(
scalar_ );
438 enum :
bool { simdEnabled = MT::simdEnabled &&
444 enum :
bool { smpAssignable = MT::smpAssignable };
540 inline size_t rows() const noexcept {
581 template<
typename T >
582 inline bool canAlias(
const T* alias )
const noexcept {
593 template<
typename T >
594 inline bool isAliased(
const T* alias )
const noexcept {
595 return matrix_.isAliased( alias );
615 return matrix_.canSMPAssign() ||
616 (
rows() *
columns() >= SMP_DMATSCALARMULT_THRESHOLD );
640 template<
typename MT2
651 assign( ~lhs, (~lhs) / rhs.
scalar_ );
670 template<
typename MT2
700 template<
typename MT2
715 addAssign( ~lhs, tmp );
738 template<
typename MT2
753 subAssign( ~lhs, tmp );
776 template<
typename MT2
791 schurAssign( ~lhs, tmp );
822 template<
typename MT2
852 template<
typename MT2
882 template<
typename MT2
920 template<
typename MT2
958 template<
typename MT2
1017 template<
typename MT
1020 struct DMatScalarDivExprHelper
1066 template<
typename MT
1070 inline decltype(
auto) operator/( const
DenseMatrix<MT,SO>& mat, ST scalar )
1076 using ReturnType =
typename DMatScalarDivExprHelper<MT,ST,SO>::Type;
1080 return ReturnType( ~mat, ScalarType(1)/ScalarType(scalar) );
1110 template<
typename MT
1138 template<
typename ST1
1166 template<
typename MT
1178 using ReturnType =
typename DMatScalarDivExprHelper<MT,MultType,SO>::Type;
1202 template<
typename MT,
typename ST,
bool SO >
1203 struct Size< DMatScalarDivExpr<MT,ST,SO>, 0UL >
1204 :
public Size<MT,0UL>
1207 template<
typename MT,
typename ST,
bool SO >
1208 struct Size< DMatScalarDivExpr<MT,ST,SO>, 1UL >
1209 :
public Size<MT,1UL>
1225 template<
typename MT,
typename ST,
bool SO >
1226 struct IsAligned< DMatScalarDivExpr<MT,ST,SO> >
1243 template<
typename MT,
typename ST,
bool SO >
1244 struct IsPadded< DMatScalarDivExpr<MT,ST,SO> >
1261 template<
typename MT,
typename ST,
bool SO >
1279 template<
typename MT,
typename ST,
bool SO >
1297 template<
typename MT,
typename ST,
bool SO >
1298 struct IsLower< DMatScalarDivExpr<MT,ST,SO> >
1315 template<
typename MT,
typename ST,
bool SO >
1333 template<
typename MT,
typename ST,
bool SO >
1334 struct IsUpper< DMatScalarDivExpr<MT,ST,SO> >
1351 template<
typename MT,
typename ST,
bool SO >
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:582
Pointer difference type of the Blaze library.
Header file for auxiliary alias declarations.
Compile time check whether the given type is a computational expression template.This type trait clas...
Definition: IsComputation.h:71
ElementType_< MT > ET
Element type of the dense matrix expression.
Definition: DMatScalarDivExpr.h:121
Compile time check for numeric types.This type trait tests whether or not the given template paramete...
Definition: IsNumeric.h:79
Constraint on the data type.
bool operator<(const ConstIterator &rhs) const
Less-than comparison between two ConstIterator objects.
Definition: DMatScalarDivExpr.h:343
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: DMatScalarDivExpr.h:550
If_< IsExpression< MT >, const MT, const MT &> LeftOperand
Composite type of the left-hand side dense matrix expression.
Definition: DMatScalarDivExpr.h:187
#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
Compile time check whether the given type is a temporary vector or matrix type.This type trait class ...
Definition: IsTemporary.h:69
LeftOperand leftOperand() const noexcept
Returns the left-hand side dense matrix operand.
Definition: DMatScalarDivExpr.h:560
bool operator>(const ConstIterator &rhs) const
Greater-than comparison between two ConstIterator objects.
Definition: DMatScalarDivExpr.h:354
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: DMatScalarDivExpr.h:540
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
Header file for basic type definitions.
Compile time check whether the given type is a multiplication expression template.This type trait class tests whether or not the given type Type is a multiplication expression template (i.e. an expression representing an element-wise vector multiplication, a matrix/vector multiplication, a vector/matrix multiplication, or a matrix multiplication). In order to qualify as a valid multiplication expression template, the given type has to derive publicly from the MultExpr base class. In case the given type is a valid multiplication expression template, the value member constant is set to true, the nested type definition Type is TrueType, and the class derives from TrueType. Otherwise value is set to false, Type is FalseType, and the class derives from FalseType.
Definition: IsMultExpr.h:97
decltype(auto) operator/(const DenseMatrix< MT, SO > &mat, ST scalar)
Division operator for the division of a dense matrix by a scalar value ( ).
Definition: DMatScalarDivExpr.h:1070
DifferenceType operator-(const ConstIterator &rhs) const
Calculating the number of elements between two iterators.
Definition: DMatScalarDivExpr.h:387
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:279
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
ConstIterator begin(size_t i) const
Returns an iterator to the first non-zero element of row i.
Definition: DMatScalarDivExpr.h:519
#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
bool canSMPAssign() const noexcept
Returns whether the expression can be used in SMP assignments.
Definition: DMatScalarDivExpr.h:614
ElementType ValueType
Type of the underlying elements.
Definition: DMatScalarDivExpr.h:201
Iterator over the elements of the dense matrix.
Definition: DMatScalarDivExpr.h:196
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: DMatScalarDivExpr.h:177
Header file for the And class template.
Expression object for divisions of a dense matrix by a scalar.The DMatScalarDivExpr class represents ...
Definition: DMatScalarDivExpr.h:113
Compile time check for lower triangular matrices.This type trait tests whether or not the given templ...
Definition: IsLower.h:87
ConstIterator & operator+=(size_t inc)
Addition assignment operator.
Definition: DMatScalarDivExpr.h:235
typename MultTrait< T1, T2 >::Type MultTrait_
Auxiliary alias declaration for the MultTrait class template.The MultTrait_ alias declaration provide...
Definition: MultTrait.h:291
Header file for the Computation base class.
Header file for the UnderlyingElement type trait.
Compile time check for upper triangular matrices.This type trait tests whether or not the given templ...
Definition: IsUpper.h:87
auto load() const noexcept
Access to the SIMD elements of the matrix.
Definition: DMatScalarDivExpr.h:310
Header file for the RequiresEvaluation type trait.
typename T::ResultType ResultType_
Alias declaration for nested ResultType type definitions.The ResultType_ alias declaration provides a...
Definition: Aliases.h:343
ResultType_< MT > RT
Result type of the dense matrix expression.
Definition: DMatScalarDivExpr.h:119
ConstIterator_< MT > IteratorType
ConstIterator type of the dense matrix expression.
Definition: DMatScalarDivExpr.h:214
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
RightOperand rightOperand() const noexcept
Returns the right-hand side scalar operand.
Definition: DMatScalarDivExpr.h:570
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
ConstIterator & operator-=(size_t dec)
Subtraction assignment operator.
Definition: DMatScalarDivExpr.h:247
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
Header file for the DivExprTrait class template.
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.
Compile time check to query the requirement to evaluate an expression.Via this type trait it is possi...
Definition: RequiresEvaluation.h:71
bool isAligned() const noexcept
Returns whether the operands of the expression are properly aligned in memory.
Definition: DMatScalarDivExpr.h:604
typename T::CompositeType CompositeType_
Alias declaration for nested CompositeType type definitions.The CompositeType_ alias declaration prov...
Definition: Aliases.h:83
ElementType * PointerType
Pointer return type.
Definition: DMatScalarDivExpr.h:202
Header file for the IsTemporary type trait class.
Header file for the multiplication trait.
Header file for the IsStrictlyUpper type trait.
Header file for the IsSymmetric type trait.
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.
OppositeType_< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: DMatScalarDivExpr.h:176
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
ReturnType operator*() const
Direct access to the element at the current iterator position.
Definition: DMatScalarDivExpr.h:300
Header file for the Or class template.
Expression object for dense matrix-scalar multiplications.The DMatScalarMultExpr class represents the...
Definition: DMatScalarMultExpr.h:107
bool operator>=(const ConstIterator &rhs) const
Greater-than comparison between two ConstIterator objects.
Definition: DMatScalarDivExpr.h:376
#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:210
Header file for the DenseMatrix base class.
const Element * ConstIterator
Iterator over constant elements.
Definition: CompressedMatrix.h:3085
typename T::ElementType ElementType_
Alias declaration for nested ElementType type definitions.The ElementType_ alias declaration provides...
Definition: Aliases.h:163
DMatScalarDivExpr(const MT &matrix, ST scalar) noexcept
Constructor for the DMatScalarDivExpr class.
Definition: DMatScalarDivExpr.h:458
Header file for all SIMD functionality.
DivExprTrait_< RN, ST > ExprReturnType
Expression return type for the subscript operator.
Definition: DMatScalarDivExpr.h:135
ElementType & ReferenceType
Reference return type.
Definition: DMatScalarDivExpr.h:203
Availability of a SIMD division for the given data types.Depending on the available instruction set (...
Definition: HasSIMDDiv.h:150
ST RightOperand
Composite type of the right-hand side scalar value.
Definition: DMatScalarDivExpr.h:190
#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
Header file for the IsLower type trait.
Header file for the IsAligned type trait.
IteratorType iterator_
Iterator to the current element.
Definition: DMatScalarDivExpr.h:430
const ConstIterator operator++(int)
Post-increment operator.
Definition: DMatScalarDivExpr.h:269
std::random_access_iterator_tag IteratorCategory
The iterator category.
Definition: DMatScalarDivExpr.h:200
const ConstIterator operator--(int)
Post-decrement operator.
Definition: DMatScalarDivExpr.h:290
ElementType_< ResultType > ElementType
Resulting element type.
Definition: DMatScalarDivExpr.h:178
Constraints on the storage order of matrix types.
Compile time check for symmetric matrices.This type trait tests whether or not the given template par...
Definition: IsSymmetric.h:85
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
Compile time check for floating point data types.This type trait tests whether or not the given templ...
Definition: IsFloatingPoint.h:75
BLAZE_ALWAYS_INLINE auto load(size_t i, size_t j) const noexcept
Access to the SIMD elements of the matrix.
Definition: DMatScalarDivExpr.h:504
RightOperand scalar_
Scalar of the multiplication expression.
Definition: DMatScalarDivExpr.h:431
decltype(auto) operator*(const DenseMatrix< MT1, false > &lhs, const DenseMatrix< MT2, false > &rhs)
Multiplication operator for the multiplication of two row-major dense matrices ( ).
Definition: DMatDMatMultExpr.h:8893
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 IsStrictlyLower type trait.
Header file for the IsPadded type trait.
ConstIterator & operator++()
Pre-increment operator.
Definition: DMatScalarDivExpr.h:258
typename DivTrait< T1, T2 >::Type DivTrait_
Auxiliary alias declaration for the DivTrait class template.The DivTrait_ alias declaration provides ...
Definition: DivTrait.h:292
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: DMatScalarDivExpr.h:471
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:530
LeftOperand matrix_
Left-hand side dense matrix of the division expression.
Definition: DMatScalarDivExpr.h:622
RightOperand scalar_
Right-hand side scalar of the division expression.
Definition: DMatScalarDivExpr.h:623
ConstIterator(IteratorType iterator, RightOperand scalar)
Constructor for the ConstIterator class.
Definition: DMatScalarDivExpr.h:223
Header file for run time assertion macros.
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:423
DivTrait_< RT, ST > ResultType
Result type for expression template evaluations.
Definition: DMatScalarDivExpr.h:175
CompositeType_< MT > CT
Composite type of the dense matrix expression.
Definition: DMatScalarDivExpr.h:122
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.
#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: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
Compile time check for Hermitian matrices.This type trait tests whether or not the given template par...
Definition: IsHermitian.h:85
Compile time check for built-in data types.This type trait tests whether or not the given template pa...
Definition: IsBuiltin.h:75
Compile time check for data types.This type trait tests whether or not the given template parameter i...
Definition: IsInvertible.h:82
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
bool operator==(const ConstIterator &rhs) const
Equality comparison between two ConstIterator objects.
Definition: DMatScalarDivExpr.h:321
IteratorCategory iterator_category
The iterator category.
Definition: DMatScalarDivExpr.h:207
ValueType value_type
Type of the underlying elements.
Definition: DMatScalarDivExpr.h:208
Header file for the IsInvertible type trait.
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
PointerType pointer
Pointer return type.
Definition: DMatScalarDivExpr.h:209
#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
ReturnType_< MT > RN
Return type of the dense matrix expression.
Definition: DMatScalarDivExpr.h:120
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
Header file for the HasSIMDDiv type trait.
Header file for the IsComputation type trait class.
Header file for the IsBuiltin type trait.
typename DivExprTrait< T1, T2 >::Type DivExprTrait_
Auxiliary alias declaration for the DivExprTrait class template.The DivExprTrait_ alias declaration p...
Definition: DivExprTrait.h:112
Base class for all compute expression templates.The Computation class serves as a tag for all computa...
Definition: Computation.h:66
Compile time logical 'or' evaluation.The Or alias declaration performs at compile time a logical 'or'...
Definition: Or.h:76
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 inc)
Addition between a ConstIterator and an integral value.
Definition: DMatScalarDivExpr.h:399
Header file for the IsComplex type trait.
IfTrue_< useAssign, const ResultType, const DMatScalarDivExpr &> CompositeType
Data type for composite expression templates.
Definition: DMatScalarDivExpr.h:184
friend const ConstIterator operator+(size_t inc, const ConstIterator &it)
Addition between an integral value and a ConstIterator.
Definition: DMatScalarDivExpr.h:411
typename T::RightOperand RightOperand_
Alias declaration for nested RightOperand type definitions.The RightOperand_ alias declaration provid...
Definition: Aliases.h:383
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 MatScalarDivExpr base class.
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: DMatScalarDivExpr.h:486
Header file for the IsHermitian type trait.
bool operator<=(const ConstIterator &rhs) const
Less-than comparison between two ConstIterator objects.
Definition: DMatScalarDivExpr.h:365
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.
#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
const IfTrue_< returnExpr, ExprReturnType, ElementType > ReturnType
Return type for expression template evaluations.
Definition: DMatScalarDivExpr.h:181
Compile time check whether the given type is an expression template.This type trait class tests wheth...
Definition: IsExpression.h:95
bool operator!=(const ConstIterator &rhs) const
Inequality comparison between two ConstIterator objects.
Definition: DMatScalarDivExpr.h:332
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:594