Magick

This gem is sort of a set of toys. It builds a sort of a set of functions which use lambdas and combinators (from the smullyan gem) to do things like arithmetic, map & fold implemented with the Y combinator, and an average function implemented with the Phi combinator.

Install the gem and add to the application's Gemfile by executing:

bundle add magick

If bundler is not being used to manage dependencies, install the gem by executing:

gem install magick

This is more or less a set of functional toys that attempt to do something actually useful with S-K-I combinators from smullyan along with some lambdas and just enough Ruby. I didn't want to go as far as implementing Church numerals, so it's just using numbers from Ruby, as well as the + operator and the negation - operator; all other math operators (subtract, multiply, divide, etc.) are implemented in terms of add and negate, and each other. It uses the Y combinator whenever loops or recursion is required.

Using a given function is verbose:

avg = Magick::Maths::average.([1, 2, 3])

but you could just create a local variable or constant to avoid always needing to type Magick::[module]:

average = Magick::Maths::average
avg = average.([1,2,3])

Keep in mind that all the methods in the modules actually return lambdas, so using them requires .() or .call().

After checking out the repo, run bin/setup to install dependencies. Then, run rake test 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 the created tag, and push the .gem file to rubygems.org.

Bug reports and pull requests are welcome on GitHub at https://github.com/[USERNAME]/magick. This project is intended to be a safe, welcoming space for collaboration, and contributors are expected to adhere to the code of conduct.

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

Everyone interacting in the Magick project's codebases, issue trackers, chat rooms and mailing lists is expected to follow the code of conduct.