Quadratic

Installation

Add this line to your application's Gemfile:

gem 'quadratic_number'

And then execute:

$ bundle

Or install it yourself as:

$ gem install quadratic_number

Usage

require 'quadratic_number'

### construction ###
phi   = Quadratic[5].new(1, 1) / 2     #=> ((1/2)+(1/2)*√5)
omega = Quadratic[-3].new(-1, 1) / 2   #=> ((-1/2)+(1/2)*√-3)

### type conversion ###
phi.to_f      #=> 1.618033988749895
omega.to_c    #=> ((-1/2)+(0+(1/2)*√3)*i)
omega * 1.0   #=> (-0.5+0.8660254037844386i)

### calculation ###
phi ** 2 == phi + 1      #=> true
omega ** 2 + omega + 1   #=> ((0/1)+(0/1)*√-3)
phi * omega              #=> (-0.8090169943749475+1.4012585384440734i)

### quadratic equation ###
puts "x^2 - #{phi.trace} x + #{phi.norm} = 0  <-->  x = #{phi}, #{phi.qconj}"

Development

After checking out the repo, run bin/setup to install dependencies. Then, run rake spec to run the tests. You can also run bin/console for an interactive prompt that will allow you to experiment.

To install this gem onto your local machine, run bundle exec rake install. To release a new version, update the version number in version.rb, and then run bundle exec rake release, which will create a git tag for the version, push git commits and tags, and push the .gem file to rubygems.org.

Contributing

Bug reports and pull requests are welcome on GitHub at https://github.com/hmmnrst/quadratic_number.

License

The gem is available as open source under the terms of the MIT License.