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#!/usr/bin/env ruby
# proofj.rb - tests the proof:
# If m is any even integer, then (−1)𝑚+3 = −1.

# Config
verbose = true
super_verbose = false

# Iteration Boundaries
start_number = -10
end_number = 10

# The Proof
proof_equation = ->(param) { "If m is any even integer, then (−1)#{param}+3 = −1" }
the_proof = proof_equation.("m")

p_equation = ->(param) { (param%2)==0 }
p_valid = ->(param) { p_equation.(param) }
q_equation = ->(q) { ((-1)*q)+3 }
q_valid = ->(q) {q_equation.(q)==-1}

# The Proof Test
puts the_proof
puts "Iterating from m=#{start_number} to m=#{end_number}"

(start_number..end_number).each do |number|

	result = q_equation.(number)

	if p_valid.(number)
		puts "m=#{number} is even" if super_verbose

		if q_valid.(number)
			# puts "(−1)#{number}+3 = −1 TRUE"
			puts ""
			puts "m=#{number} true -> true is TRUE"
			puts "#{proof_equation.(number)}is valid"
			puts ""
		else
			puts "m=#{number} true -> false is FALSE" 
		end
	else
		if q_valid.(number)
			puts "m=#{number} false -> true is TRUE" if super_verbose
			puts "(−1)#{number}+3 = #{result}" if super_verbose
		else
			puts "m=#{number} false -> false is TRUE" if super_verbose
		end
	end
end