The quadratic-irrational package
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A quadratic irrational is a number that can be expressed in the form
(a + b √c) / d
where a, b and d are integers and c is a square-free natural number.
Some examples of such numbers are
(1 + √5)/2 (the golden ratio),
solutions to quadratic equations with rational constants – the quadratic formula has a familiar shape.
A simple continued fraction is a number expressed in the form
a + 1/(b + 1/(c + 1/(d + 1/(e + …))))
or alternatively written as
[a; b, c, d, e, …]
where a is an integer and b, c, d, e, … are positive integers.
Every finite SCF represents a rational number and every infinite, periodic SCF represents a quadratic irrational.
3.5 = [3; 2] (1+√5)/2 = [1; 1, 1, 1, …] √2 = [1; 2, 2, 2, …]
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|Versions||0.0.1, 0.0.2, 0.0.3, 0.0.4, 0.0.5, 0.0.5|
|Dependencies||arithmoi (==0.4.*), base (>=4.6 && <4.8), containers (==0.5.*), mtl (==2.1.*), transformers (==0.3.*) [details]|
|Copyright||Copyright © 2014 Johan Kiviniemi|
|Author||Johan Kiviniemi <firstname.lastname@example.org>|
|Maintainer||Johan Kiviniemi <email@example.com>|
|Category||Math, Algorithms, Data|
|Source repository||head: git clone https://github.com/ion1/quadratic-irrational.git|
|Uploaded||Fri Mar 28 21:58:10 UTC 2014 by ion|
- quadratic-irrational-0.0.5.tar.gz [browse] (Cabal source package)
- Package description (included in the package)
For package maintainers and hackage trustees