Low commit activity in last 3 years
A long-lived project that still receives updates
Class for working with continued fractions
2005
2006
2007
2008
2009
2010
2011
2012
2013
2014
2015
2016
2017
2018
2019
2020
2021
2022
2023
2024
 Dependencies

Development

~> 3
~> 11.1
~> 0.9
 Project Readme

ContinuedFractions

Gem Version

Description

Generates quotients and convergents for a given number.

Synopsis

require 'continued_fractions'

pi = Math::PI
=> 3.14159265358979

cf = ContinuedFraction.new(pi,10)
=> 3.141592653589793, quotients: [3, 7, 15, 1, 292, 1, 1, 1, 2, 1], convergents: [(3/1), (22/7), (333/106), (355/113), (103993/33102), (104348/33215), (208341/66317), (312689/99532), (833719/265381), (1146408/364913)]
                     
cf.convergents
=> [(3/1), (22/7), (333/106), (355/113), (103993/33102), (104348/33215), (208341/66317), (312689/99532), (833719/265381), (1146408/364913)]

cf.quotients
=> [3, 7, 15, 1, 292, 1, 1, 1, 2, 1]

# Add, subtract, multiply and divide continued fractions.  The limit of the result is the max limit of the operands.

cf2 = ContinuedFraction.new(rand,20)
=> 0.9465929215086878, quotients: [0, 1, 17, 1, 2, 1, 1, 1, 1, 1, 41, 1, 1, 2, 22, 1, 1, 11, 1, 3], convergents: [(0/1), (1/1), (17/18), (18/19), (53/56), (71/75), (124/131), (195/206), (319/337), (514/543), (21393/22600), (21907/23143), (43300/45743), (108507/114629), (2430454/2567581), (2538961/2682210), (4969415/5249791), (57202526/60429911), (62171941/65679702), (243718349/257469017)]

cf + cf2
=> 4.088185575098481, quotients: [4, 11, 2, 1, 16, 1, 2, 1, 1, 1, 1, 25, 7, 1, 3, 1, 3], convergents: [(4/1), (45/11), (94/23), (139/34), (2318/567), (2457/601), (7232/1769), (9689/2370), (16921/4139), (26610/6509), (43531/10648), (1114885/272709), (7847726/1919611), (8962611/2192320), (34735559/8496571), (43698170/10688891), (165830069/40563244)]

Install

sudo gem install continued_fractions

Requirements/Dependencies

  • Ruby 3.1+
  • Depends on Ruby's Rational class

Developers

  • RSpec required to run tests
  • Yard to compile documentation

Contributors