dualnumbers 1.0.1
A dual number type for automatic differentation.
To use this package, run the following command in your project's root directory:
dualnumbers
A dual number type for automatic differentiation.
Introduction
Dual numbers are similar to complex numbers a pair of two numbers. A dual number is written as a + εb, where a is called the real part and b is called the dual part of the number. ε² is defined to be zero.
Given a function f(x) and a value f(a) which is the result of the function for x = a, then f(a + εb) is equal to f(a) + εb f '* (a). This can be shown with a Taylor series.
In practice this means that we get the derivative of an arbitrary complicated function for free, if we calculate it with a dual number. All we have to do is to set the dual part of the variable, by which we want to differentiate, to one (all other dual parts should be zero). The result of the function will contain its derivative as the dual part.
For more information about theory see https://en.wikipedia.org/wiki/Dualnumber https://en.wikipedia.org/wiki/Automaticdifferentiation#Automaticdifferentiationusingdualnumbers
Documentation
The documentation can be found here. There are also some examples in the documentation.
Current Limitations
 ^^ operator only works for integral exponents
 No trigonometric functions
Contributing
Feel free to create issues or pull requests. A unittest is expected for every added function.
Licence
Distributed under the Boost Software Licence. See licence file for more information.
 Registered by René Heldmaier
 1.0.1 released 5 months ago
 the5avage/dualnumbers
 Boost License 1.0
 Copyright © 2019, René Heldmaier and others (see individual files)
 Authors:
 Dependencies:
 none
 Versions:

1.0.2 2019Nov17 1.0.1 2019Nov16 1.0.0 2019Nov16 ~master 2019Nov17  Download Stats:


0 downloads today

0 downloads this week

0 downloads this month

1 downloads total

 Score:
 0.3
 Short URL:
 dualnumbers.dub.pm