35 #ifndef _BLAZE_MATH_EXPRESSIONS_DMATSCALARDIVEXPR_H_
36 #define _BLAZE_MATH_EXPRESSIONS_DMATSCALARDIVEXPR_H_
114 template<
typename MT
153 template<
typename MT2 >
156 enum :
bool { value = useAssign };
169 template<
typename MT2 >
170 struct UseSMPAssign {
171 enum :
bool { value = ( !MT2::smpAssignable || !MT::smpAssignable ) && useAssign };
228 : iterator_( iterator )
314 inline auto load() const noexcept {
442 enum :
bool { simdEnabled = MT::simdEnabled &&
448 enum :
bool { smpAssignable = MT::smpAssignable };
490 inline ReturnType
at(
size_t i,
size_t j )
const {
544 inline size_t rows() const noexcept {
585 template<
typename T >
586 inline bool canAlias(
const T* alias )
const noexcept {
597 template<
typename T >
598 inline bool isAliased(
const T* alias )
const noexcept {
599 return matrix_.isAliased( alias );
619 return matrix_.canSMPAssign() ||
620 (
rows() *
columns() >= SMP_DMATSCALARMULT_THRESHOLD );
644 template<
typename MT2
655 assign( ~lhs, (~lhs) / rhs.
scalar_ );
674 template<
typename MT2
704 template<
typename MT2
706 friend inline EnableIf_< UseAssign<MT2> >
718 const ResultType tmp(
serial( rhs ) );
719 addAssign( ~lhs, tmp );
742 template<
typename MT2
744 friend inline EnableIf_< UseAssign<MT2> >
756 const ResultType tmp(
serial( rhs ) );
757 subAssign( ~lhs, tmp );
788 template<
typename MT2
790 friend inline EnableIf_< UseSMPAssign<MT2> >
818 template<
typename MT2
820 friend inline EnableIf_< UseSMPAssign<MT2> >
829 (~lhs) /= rhs.scalar_;
848 template<
typename MT2
850 friend inline EnableIf_< UseSMPAssign<MT2> >
862 const ResultType tmp( rhs );
886 template<
typename MT2
888 friend inline EnableIf_< UseSMPAssign<MT2> >
900 const ResultType tmp( rhs );
962 template<
typename T1
965 inline const EnableIf_< IsNumeric<T2>, DivExprTrait_<T1,T2> >
976 return ReturnType( ~mat, ScalarType(1)/ScalarType(scalar) );
1006 template<
typename MT
1010 inline const EnableIf_< And< IsNumeric<ST2>, Or< IsInvertible<ST1>, IsInvertible<ST2> > >
1011 , MultExprTrait_< DMatScalarDivExpr<MT,ST1,SO>, ST2 > >
1012 operator*(
const DMatScalarDivExpr<MT,ST1,SO>& mat, ST2 scalar )
1016 return mat.leftOperand() * ( scalar / mat.rightOperand() );
1035 template<
typename ST1
1039 inline const EnableIf_< And< IsNumeric<ST1>, Or< IsInvertible<ST1>, IsInvertible<ST2> > >
1040 , MultExprTrait_< ST1, DMatScalarDivExpr<MT,ST2,SO> > >
1041 operator*( ST1 scalar,
const DMatScalarDivExpr<MT,ST2,SO>& mat )
1045 return mat.leftOperand() * ( scalar / mat.rightOperand() );
1064 template<
typename MT
1068 inline const EnableIf_< IsNumeric<ST2>
1069 , DivExprTrait_< MT, MultTrait_<ST1,ST2> > >
1070 operator/(
const DMatScalarDivExpr<MT,ST1,SO>& mat, ST2 scalar )
1076 typedef MultTrait_<ST1,ST2> MultType;
1077 typedef DivExprTrait_<MT,MultType>
ReturnType;
1078 typedef RightOperand_<ReturnType> ScalarType;
1080 if( IsMultExpr<ReturnType>::value ) {
1081 return ReturnType( mat.leftOperand(), ScalarType(1)/( mat.rightOperand() * scalar ) );
1084 return ReturnType( mat.leftOperand(), mat.rightOperand() * scalar );
1101 template<
typename MT,
typename ST,
bool SO >
1118 template<
typename MT,
typename ST,
bool SO >
1135 template<
typename MT,
typename ST,
bool SO >
1153 template<
typename MT,
typename ST,
bool SO >
1171 template<
typename MT,
typename ST,
bool SO >
1189 template<
typename MT,
typename ST,
bool SO >
1207 template<
typename MT,
typename ST,
bool SO >
1225 template<
typename MT,
typename ST,
bool SO >
1243 template<
typename MT,
typename ST,
bool SO >
1261 template<
typename MT,
typename ST,
bool SO >
1279 template<
typename MT,
typename ST1,
typename ST2 >
1284 typedef DivTrait_<ST2,ST1> ScalarType;
1289 using Type = If_< And< IsDenseMatrix<MT>, IsRowMajorMatrix<MT>, IsNumeric<ST1>, IsNumeric<ST2> >
1290 , If_< IsInvertible<ScalarType>
1291 , DMatScalarMultExprTrait_<MT,ScalarType>
1292 , DMatScalarMultExpr< DMatScalarDivExpr<MT,ST1,false>, ST2,
false > >
1310 template<
typename MT,
typename ST1,
typename ST2 >
1315 typedef DivTrait_<ST2,ST1> ScalarType;
1320 using Type = If_< And< IsDenseMatrix<MT>, IsColumnMajorMatrix<MT>, IsNumeric<ST1>, IsNumeric<ST2> >
1321 , If_< IsInvertible<ScalarType>
1322 , DMatScalarMultExprTrait_<MT,ScalarType>
1323 , DMatScalarMultExpr< DMatScalarDivExpr<MT,ST1,true>, ST2,
true > >
1341 template<
typename MT,
typename ST,
bool SO,
bool AF >
1346 using Type = DivExprTrait_< SubmatrixExprTrait_<const MT,AF>, ST >;
1363 template<
typename MT,
typename ST,
bool SO >
1368 using Type = DivExprTrait_< RowExprTrait_<const MT>, ST >;
1385 template<
typename MT,
typename ST,
bool SO >
1390 using Type = DivExprTrait_< ColumnExprTrait_<const MT>, ST >;
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:72
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.
#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:70
Header file for the Rows type trait.
const DMatDMatMultExpr< T1, T2 > operator*(const DenseMatrix< T1, false > &lhs, const DenseMatrix< T2, false > &rhs)
Multiplication operator for the multiplication of two row-major dense matrices ( ).
Definition: DMatDMatMultExpr.h:7800
ElementType_< ResultType > ElementType
Resulting element type.
Definition: DMatScalarDivExpr.h:182
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 or privately) 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:73
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: DMatScalarDivExpr.h:544
ValueType value_type
Type of the underlying elements.
Definition: DMatScalarDivExpr.h:212
Base class for all matrix/scalar divsion expression templates.The MatScalarDivExpr class serves as a ...
Definition: MatScalarDivExpr.h:65
ConstIterator & operator--()
Pre-decrement operator.
Definition: DMatScalarDivExpr.h:283
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:160
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
bool operator!=(const ConstIterator &rhs) const
Inequality comparison between two ConstIterator objects.
Definition: DMatScalarDivExpr.h:336
#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
Header file for the ColumnExprTrait class template.
DMatScalarDivExpr< MT, ST, SO > This
Type of this DMatScalarDivExpr instance.
Definition: DMatScalarDivExpr.h:178
bool operator>(const ConstIterator &rhs) const
Greater-than comparison between two ConstIterator objects.
Definition: DMatScalarDivExpr.h:358
Header file for the IsColumnMajorMatrix type trait.
Iterator over the elements of the dense matrix.
Definition: DMatScalarDivExpr.h:200
DifferenceType operator-(const ConstIterator &rhs) const
Calculating the number of elements between two iterators.
Definition: DMatScalarDivExpr.h:391
RightOperand rightOperand() const noexcept
Returns the right-hand side scalar operand.
Definition: DMatScalarDivExpr.h:574
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:117
ConstIterator & operator+=(size_t inc)
Addition assignment operator.
Definition: DMatScalarDivExpr.h:239
const DMatSerialExpr< MT, SO > serial(const DenseMatrix< MT, SO > &dm)
Forces the serial evaluation of the given dense matrix expression dm.
Definition: DMatSerialExpr.h:723
Header file for the Computation base class.
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:323
ElementType ValueType
Type of the underlying elements.
Definition: DMatScalarDivExpr.h:205
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:129
Base class for dense matrices.The DenseMatrix class is a base class for all dense matrix classes...
Definition: DenseMatrix.h:70
Base class for sparse matrices.The SparseMatrix class is a base class for all sparse matrix classes...
Definition: Forward.h:109
If_< IsExpression< MT >, const MT, const MT & > LeftOperand
Composite type of the left-hand side dense matrix expression.
Definition: DMatScalarDivExpr.h:191
Constraint on the data type.
ConstIterator & operator-=(size_t dec)
Subtraction assignment operator.
Definition: DMatScalarDivExpr.h:251
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:343
Header file for the DivExprTrait class template.
LeftOperand leftOperand() const noexcept
Returns the left-hand side dense matrix operand.
Definition: DMatScalarDivExpr.h:564
ptrdiff_t DifferenceType
Difference between two iterators.
Definition: DMatScalarDivExpr.h:208
Constraint on the data type.
Header file for the MultExprTrait 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
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: DMatScalarDivExpr.h:181
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: DMatScalarDivExpr.h:490
const EnableIf_< IsNumeric< T2 >, DivExprTrait_< T1, T2 > > operator/(const DenseMatrix< T1, SO > &mat, T2 scalar)
Division operator for the division of a dense matrix by a scalar value ( ).
Definition: DMatScalarDivExpr.h:966
Header file for the IsTemporary type trait class.
Header file for the multiplication trait.
Header file for the IsStrictlyUpper type trait.
ElementType & ReferenceType
Reference return type.
Definition: DMatScalarDivExpr.h:207
Header file for the IsSymmetric type trait.
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
IfTrue_< useAssign, const ResultType, const DMatScalarDivExpr & > CompositeType
Data type for composite expression templates.
Definition: DMatScalarDivExpr.h:188
Header file for the If class template.
ReferenceType reference
Reference return type.
Definition: DMatScalarDivExpr.h:214
Header file for the IsMultExpr type trait class.
const Element * ConstIterator
Iterator over constant elements.
Definition: CompressedMatrix.h:2647
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:98
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 DenseMatrix base class.
Header file for the Columns type trait.
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:462
Header file for all SIMD functionality.
Availability of a SIMD division for the given data types.Depending on the available instruction set (...
Definition: HasSIMDDiv.h:144
#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:434
#define BLAZE_CONSTRAINT_MUST_BE_REFERENCE_TYPE(T)
Constraint on the data type.In case the given data type T is not a reference type, a compilation error is created.
Definition: Reference.h:60
const ConstIterator operator++(int)
Post-increment operator.
Definition: DMatScalarDivExpr.h:273
const ConstIterator operator--(int)
Post-decrement operator.
Definition: DMatScalarDivExpr.h:294
Constraints on the storage order of matrix types.
PointerType pointer
Pointer return type.
Definition: DMatScalarDivExpr.h:213
Header file for the exception macros of the math module.
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: DMatScalarDivExpr.h:598
ElementType * PointerType
Pointer return type.
Definition: DMatScalarDivExpr.h:206
RightOperand scalar_
Scalar of the multiplication expression.
Definition: DMatScalarDivExpr.h:435
Header file for the RowExprTrait class template.
Header file for all forward declarations for expression class templates.
Header file for the IsDenseMatrix type trait.
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:262
typename DivTrait< T1, T2 >::Type DivTrait_
Auxiliary alias declaration for the DivTrait class template.The DivTrait_ alias declaration provides ...
Definition: DivTrait.h:245
Header file for the IsNumeric type trait.
BLAZE_ALWAYS_INLINE const EnableIf_< And< IsIntegral< T >, HasSize< T, 1UL > >, If_< IsSigned< T >, SIMDint8, SIMDuint8 > > set(T value) noexcept
Sets all values in the vector to the given 1-byte integral value.
Definition: Set.h:76
bool operator>=(const ConstIterator &rhs) const
Greater-than comparison between two ConstIterator objects.
Definition: DMatScalarDivExpr.h:380
LeftOperand matrix_
Left-hand side dense matrix of the division expression.
Definition: DMatScalarDivExpr.h:626
RightOperand scalar_
Right-hand side scalar of the division expression.
Definition: DMatScalarDivExpr.h:627
ConstIterator(IteratorType iterator, RightOperand scalar)
Constructor for the ConstIterator class.
Definition: DMatScalarDivExpr.h:227
DivTrait_< RT, ST > ResultType
Result type for expression template evaluations.
Definition: DMatScalarDivExpr.h:179
Header file for the SubmatrixExprTrait class template.
Header file for run time assertion macros.
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: DMatScalarDivExpr.h:586
Utility type for generic codes.
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:427
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:160
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
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: DMatScalarDivExpr.h:554
IteratorCategory iterator_category
The iterator category.
Definition: DMatScalarDivExpr.h:211
DivExprTrait_< RN, ST > ExprReturnType
Expression return type for the subscript operator.
Definition: DMatScalarDivExpr.h:139
auto load() const noexcept
Access to the SIMD elements of the matrix.
Definition: DMatScalarDivExpr.h:314
ST RightOperand
Composite type of the right-hand side scalar value.
Definition: DMatScalarDivExpr.h:194
IntegralConstant< bool, B > BoolConstant
Generic wrapper for a compile time constant boolean value.The BoolConstant class template represents ...
Definition: IntegralConstant.h:100
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:223
typename T::OppositeType OppositeType_
Alias declaration for nested OppositeType type definitions.The OppositeType_ alias declaration provid...
Definition: Aliases.h:243
ConstIterator begin(size_t i) const
Returns an iterator to the first non-zero element of row i.
Definition: DMatScalarDivExpr.h:523
#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
bool isAligned() const noexcept
Returns whether the operands of the expression are properly aligned in memory.
Definition: DMatScalarDivExpr.h:608
bool operator<(const ConstIterator &rhs) const
Less-than comparison between two ConstIterator objects.
Definition: DMatScalarDivExpr.h:347
typename T::ConstIterator ConstIterator_
Alias declaration for nested ConstIterator type definitions.The ConstIterator_ alias declaration prov...
Definition: Aliases.h:103
std::random_access_iterator_tag IteratorCategory
The iterator category.
Definition: DMatScalarDivExpr.h:204
Header file for the HasSIMDDiv type trait.
Header file for the IsRowMajorMatrix type trait.
bool operator<=(const ConstIterator &rhs) const
Less-than comparison between two ConstIterator objects.
Definition: DMatScalarDivExpr.h:369
Header file for the IsComputation type trait class.
typename DivExprTrait< T1, T2 >::Type DivExprTrait_
Auxiliary alias declaration for the DivExprTrait class template.The DivExprTrait_ alias declaration p...
Definition: DivExprTrait.h:196
CompositeType_< MT > CT
Composite type of the dense matrix expression.
Definition: DMatScalarDivExpr.h:126
Base class for all compute expression templates.The Computation class serves as a tag for all computa...
Definition: Computation.h:59
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: DMatScalarDivExpr.h:475
ConstIterator end(size_t i) const
Returns an iterator just past the last non-zero element of row i.
Definition: DMatScalarDivExpr.h:534
friend const ConstIterator operator+(const ConstIterator &it, size_t inc)
Addition between a ConstIterator and an integral value.
Definition: DMatScalarDivExpr.h:403
BLAZE_ALWAYS_INLINE auto load(size_t i, size_t j) const noexcept
Access to the SIMD elements of the matrix.
Definition: DMatScalarDivExpr.h:508
#define BLAZE_FUNCTION_TRACE
Function trace macro.This macro can be used to reliably trace function calls. In case function tracin...
Definition: FunctionTrace.h:157
bool operator==(const ConstIterator &rhs) const
Equality comparison between two ConstIterator objects.
Definition: DMatScalarDivExpr.h:325
Header file for the IntegralConstant class template.
friend const ConstIterator operator+(size_t inc, const ConstIterator &it)
Addition between an integral value and a ConstIterator.
Definition: DMatScalarDivExpr.h:415
ConstIterator_< MT > IteratorType
ConstIterator type of the dense matrix expression.
Definition: DMatScalarDivExpr.h:218
bool canSMPAssign() const noexcept
Returns whether the expression can be used in SMP assignments.
Definition: DMatScalarDivExpr.h:618
typename T::RightOperand RightOperand_
Alias declaration for nested RightOperand type definitions.The RightOperand_ alias declaration provid...
Definition: Aliases.h:363
typename T::TransposeType TransposeType_
Alias declaration for nested TransposeType type definitions.The TransposeType_ alias declaration prov...
Definition: Aliases.h:403
Header file for the IsUpper type trait.
Header file for the MatScalarDivExpr base class.
Header file for the IsHermitian type trait.
ResultType_< MT > RT
Result type of the dense matrix expression.
Definition: DMatScalarDivExpr.h:123
OppositeType_< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: DMatScalarDivExpr.h:180
System settings for the inline keywords.
Header file for the thresholds for matrix/vector and matrix/matrix multiplications.
ElementType_< MT > ET
Element type of the dense matrix expression.
Definition: DMatScalarDivExpr.h:125
DifferenceType difference_type
Difference between two iterators.
Definition: DMatScalarDivExpr.h:215
#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
ReturnType operator*() const
Direct access to the element at the current iterator position.
Definition: DMatScalarDivExpr.h:304
const IfTrue_< returnExpr, ExprReturnType, ElementType > ReturnType
Return type for expression template evaluations.
Definition: DMatScalarDivExpr.h:185
Header file for the IsExpression type trait class.
Header file for the FunctionTrace class.
ReturnType_< MT > RN
Return type of the dense matrix expression.
Definition: DMatScalarDivExpr.h:124