theoretica::dual Class Reference

Dual number class. More...

#include <dual.h>

Public Member Functions
	dual ()
	Default constructor, initialize with null values.
	dual (real real_part, real dual_part)
	Initialize from two real numbers.
	dual (real real_part)
	Initialize from a real number.
	dual (const vec2 &v)
	Initialize from a vec2.
dual &	operator= (const vec2 &v)
	Initialize a dual number from a vec2.
dual &	operator= (real x)
	Initialize a dual number from a real number.
dual &	operator= (const std::array< real, 2 > &v)
	Initialize a dual number from a std::array.
const real &	Re () const
	Return real part.
real &	Re ()
	Return real part.
const real &	Dual () const
	Return dual part.
real &	Dual ()
	Return dual part.
dual	conjugate () const
	Get the dual conjugate.
dual	inverse () const
	Get the inverse of a dual number.
dual	operator+ () const
	Identity (for consistency)
dual	operator+ (const dual &other) const
	Sum two dual numbers.
dual	operator+ (real r) const
	Sum a real number to a dual number.
dual	operator- () const
	Get the opposite of a dual number.
dual	operator- (const dual &other) const
	Subtract two dual numbers.
dual	operator- (real r) const
	Subtract a real number from a dual number.
dual	operator* (const dual &other) const
	Multiply two dual numbers.
dual	operator* (real r) const
	Multiply a dual number by a real number.
dual	operator/ (const dual &other) const
	Dual division.
dual	operator/ (real r) const
	Divide a dual number by a real number.
dual &	operator+= (real r)
	Sum a real number to this dual number.
dual &	operator-= (const dual &other)
	Subtract a real number from this one.
dual &	operator-= (real r)
	Subtract a real number from this dual number.
dual &	operator*= (const dual &other)
	Multiply this dual number by another one.
dual &	operator*= (real r)
	Multiply this dual number by a real number.
dual &	operator/= (const dual &other)
	Divide this dual number by another one.
dual &	operator/= (real r)
	Divide a dual number by a real number.
bool	operator== (const dual &other)
	Check whether two dual numbers have the same real and dual parts.
vec2	to_vec () const
	Convert a dual number to a vector.
void	from_vec (const vec2 &v)
	Initialize from a vector.
mat2	to_mat () const
	Convert a dual number to matrix form.
std::string	to_string (const std::string &epsilon="e") const
	Convert the dual number to string representation. More...
	operator std::string ()
	Convert the dual number to string representation.

Public Attributes
real	a
real	b

Friends
real	Re (const dual &d)
	Extract the real part of the dual number.
real &	Re (dual &d)
	Extract the real part of the dual number.
real	Dual (const dual &d)
	Extract the real part of the dual number.
real &	Dual (dual &d)
	Extract the real part of the dual number.
dual	operator+ (real a, const dual &d)
dual	operator- (real a, const dual &d)
dual	operator* (real a, const dual &d)
dual	operator/ (real a, const dual &d)
std::ostream &	operator<< (std::ostream &out, const dual &obj)
	Stream the dual number in string representation to an output stream (std::ostream)

Detailed Description

Dual number class.

Implemented as \(a + b \epsilon\) where \(\epsilon\) is such that \(\epsilon^2 = 0\)

Member Function Documentation

to_string()

std::string theoretica::dual::to_string ( const std::string &  epsilon = "e" ) const

inline

Convert the dual number to string representation.

Parameters

epsilon

The character to use to represent epsilon

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

• autodiff/dual.h