# frozen_string_literal: true

require 'rule'

class SimpRules
  @@simp_rules = []

  def self.register(rule)
    @@simp_rules.push(rule)
  end

  def self.register_new(*args)
    register(rule(*args))
  end
end

SimpRules.register_new('one_plus_one', [1, :+, 1] => 2)
SimpRules.register_new('add_zero', [:x, :+, 0] => :x).forall(:x)
SimpRules.register_new('zero_add', [0, :+, :x] => :x).forall(:x)
SimpRules.register_new('mul_one', [:x, :*, 1] => :x).forall(:x)
SimpRules.register_new('one_mul', [1, :*, :x] => :x).forall(:x)
SimpRules.register_new('mul_zero', [:x, :*, 0] => 0).forall(:x)
SimpRules.register_new('zero_mul', [0, :*, :x] => 0).forall(:x)