duals::dual< T > Class Template Reference

Collaboration diagram for duals::dual< T >:

Public Types
typedef T	value_type

Public Member Functions
constexpr	dual (const value_type re=value_type(), const value_type du=value_type())
	Construct dual from optional real and dual parts.
template<class X , CPPDUALS_ONLY_SAME_DEPTH_AS_T(T, X) , CPPDUALS_ENABLE_IF(!is_complex< X >::value) >
	dual (const dual< X > &x)
	Copy construct from a dual of equal depth.
	operator std::complex< dual< T >> ()
	Cast to a complex<dual<>> with real part equal to *this.
template<class X , CPPDUALS_ENABLE_IF(std::is_arithmetic< X >::value &&!is_dual< X >::value) >
	operator X () const
	Explicit cast to an arithmetic type retains the rpart()
T	rpart () const
	Get the real part.
T	dpart () const
	Get the dual part.
void	rpart (value_type re)
	Set the real part.
void	dpart (value_type du)
	Get the dual part.
dual< T >	operator- () const
	Unary negation.
dual< T >	operator+ () const
	Unary nothing.
dual< T > &	operator= (const T &x)
	Assignment of value_type assigns the real part and zeros the dual part.
dual< T > &	operator+= (const T &x)
	Add a relatively-scalar to this dual.
dual< T > &	operator-= (const T &x)
	Subtract a relatively-scalar from this dual.
dual< T > &	operator*= (const T &x)
	Multiply a relatively-scalar with this dual.
dual< T > &	operator/= (const T &x)
	Divide this dual by relatively-scalar.
template<class X , CPPDUALS_ONLY_SAME_DEPTH_AS_T(T, X) >
dual< T > &	operator= (const dual< X > &x)
template<class X , CPPDUALS_ONLY_SAME_DEPTH_AS_T(T, X) >
dual< T > &	operator+= (const dual< X > &x)
	Add a dual of the same depth to this dual.
template<class X , CPPDUALS_ONLY_SAME_DEPTH_AS_T(T, X) >
dual< T > &	operator-= (const dual< X > &x)
	Subtract a dual of the same depth from this dual.
template<class X , CPPDUALS_ONLY_SAME_DEPTH_AS_T(T, X) >
dual< T > &	operator*= (const dual< X > &x)
	Multiply this dual with a dual of same depth.
template<class X , CPPDUALS_ONLY_SAME_DEPTH_AS_T(T, X) >
dual< T > &	operator/= (const dual< X > &x)
	Divide this dual by another dual of the same or lower depth.

Private Attributes
value_type	_real
	The real part.
value_type	_dual
	The dual part.

Detailed Description

template<class T>
class duals::dual< T >

Abstract dual number class. Can nest with other dual numbers and complex numbers.

Definition at line 508 of file dual.

Member Typedef Documentation

value_type

template<class T>

typedef T duals::dual< T >::value_type

Class type of rpart() and dpart(). This type can be nested dual<> or std::complex<>.

Definition at line 513 of file dual.

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The documentation for this class was generated from the following file:

• dual