quadratic-irrational: An implementation of quadratic irrationals

[ algorithms, data, library, math, mit ] [ Propose Tags ]

A library for exact computation with quadratic irrationals with support for exact conversion from and to (potentially periodic) simple continued fractions.

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

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, 0.0.6
Change log ChangeLog.md
Dependencies arithmoi (>=0.4), base (>=4.8 && <5), containers (>=0.5 && <0.7), mtl (>=2.1 && <2.3), transformers (>=0.3 && <0.6) [details]
License MIT
Copyright Copyright © 2014 Johan Kiviniemi
Author Johan Kiviniemi <devel@johan.kiviniemi.name>
Maintainer Andrew Lelechenko andrew dot lelechenko at gmail dot com
Category Math, Algorithms, Data
Home page https://github.com/ion1/quadratic-irrational
Bug tracker https://github.com/ion1/quadratic-irrational/issues
Source repo head: git clone https://github.com/ion1/quadratic-irrational.git
Uploaded by Bodigrim at Wed Aug 29 18:26:30 UTC 2018
Distributions NixOS:0.0.6, Stackage:0.0.6
Downloads 1920 total (18 in the last 30 days)
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Status Docs available [build log]
Last success reported on 2018-08-29 [all 1 reports]
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Readme for quadratic-irrational-0.0.6

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quadratic-irrational

Build Status Hackage

A library for exact computation with quadratic irrationals with support for exact conversion from and to (potentially periodic) simple continued fractions.

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

A simple continued fraction is a number 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, …]