Dual Numbers aer 2-part numbers like complex numbers, but different algebra. More...

#include <DualNumber.h>

Public Member Functions
	DualNumber ()

	DualNumber (double re, double du=0.0)

DualNumber	operator- () const

Public Attributes
double	du = 0.0

double	re = 0.0

Detailed Description

Dual Numbers aer 2-part numbers like complex numbers, but different algebra.

They are denoted as a + b*eps, where eps^2 = 0. eps, the nilpotent, is like imaginary unit of complex numbers. The neat utility of dual numbers is that if you use them instead of normal numbers in a function like sin(), derivative is implicitly calculated as a multiplier to the dual part.

Constructor & Destructor Documentation

◆ DualNumber() [1/2]

Base::DualNumber::DualNumber ( )

Referenced by operator-().

◆ DualNumber() [2/2]

Base::DualNumber::DualNumber	(	double	re,
		double	du = `0.0`
	)

Member Function Documentation

◆ operator-()

DualNumber Base::DualNumber::operator- ( ) const

References du, DualNumber(), and re.

Member Data Documentation

◆ du

double Base::DualNumber::du = 0.0

Referenced by operator-(), and Base::DualQuat::pow().

◆ re

double Base::DualNumber::re = 0.0

Referenced by Base::Placement::fromDualQuaternion(), operator-(), and Base::Placement::toDualQuaternion().

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

FreeCAD/src/Base/DualNumber.h

Public Member Functions

Public Attributes