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#!/usr/bin/env ruby require 'rubygems' require 'tree' require 'set' class Tree::TreeNode # Yield once for each leaf node. def each_leaf self.each { |node| yield(node) if not node.hasChildren? } end # Both assume exactly 2 children def left_child; children.first; end def right_child; children.last; end end # FreqNodes are TreeNodes that: # 1) Have generated, numeric names to ensure they're all unique. # 2) Compare based primarily on their contents. # 3) Have as contents an array containing a frequency, and possibly a letter # (for the leaves). # 4) Have a @side attribute that should be set to either :left or :right for # non-root nodes. # 5) Have a few other nicities, like letter(). class FreqNode < Tree::TreeNode attr_accessor :side def initialize(content = nil) super(FreqNode.next_name, content) end def <=>(node) content_diff = @content <=> node.content return content_diff if not content_diff.zero? super(node) end # Assumes this is a leaf. def letter; @content[1]; end def to_s; super() + " Side: #{@side}"; end # Generate unique names because we can't add two nodes with the same name as # children of the same parent node. @next_name_num = -1 def FreqNode.next_name (@next_name_num += 1).to_s end end class Set def shift elem = self.min self.delete elem elem end end # Build a SortedSet containing pairs of [freq, letter] for the given string. def build_freqs str # Build hash of byte => count counts = Hash.new 0 str.each_byte { |byte| counts[byte.chr] += 1 } # Build SortedSet of [freq, byte] pairs (lower freqs first). freqs = SortedSet[] counts.each { |bc| freqs << bc.reverse } freqs end # Build the tree for the given input string, and return the root node. def build_tree str nodes = build_freqs(str).map! { |pair| FreqNode.new(pair) } while nodes.size > 1 child1, child2 = nodes.shift, nodes.shift parent = FreqNode.new([child1.content.first + child2.content.first]) child1.side, child2.side = :left, :right parent << child1 parent << child2 nodes << parent end nodes.min end # Encode the given letter using the given tree of FreqNodes. def encode_letter letter, tree enc = '' # Find leaf with the right byte value node = nil tree.each_leaf do |leaf| (node = leaf; break) if leaf.letter == letter end while not node.isRoot? node.side == :left ? enc << '0' : enc << '1' node = node.parent end enc.reverse end # Build a tree for the given string, and encode it using that tree. def encode str, tree = build_tree(str) #tree = build_tree(str) encoded = '' str.each_byte { |byte| encoded << encode_letter(byte.chr, tree) } encoded end # Decode the given string (which should consist of '0's and '1's) using the # given tree. def decode str, tree dec = '' i = 0 node = tree str.each_byte do |byte| node = (byte.chr == '0' ? node.left_child : node.right_child) if not node.hasChildren? dec << node.byte_value.chr node = tree end end dec end class String # Split up the string by inserting sep between len-length chunks. def split_up! len, sep (((length / len.to_f).ceil - 1) * len).step(len, -len) do |i| insert i, sep end self end end # Output a binary string, splitting it up for easier reading. def puts_binary str str = str.dup str.split_up! 40, "\n" str.each { |line| puts line.split_up!(8, ' ') } end if __FILE__ == $0 input = ARGV.join ' ' input_bytes = input.length enc = encode(input) enc_bytes = (enc.length / 8.0).ceil compressed = ((1 - enc_bytes.to_f/input_bytes) * 100).round puts 'Encoded:' puts_binary(enc) puts "Encoded bytes: #{enc_bytes}\n\n" puts "Original:\n#{input}" puts "Original bytes: #{input_bytes}\n\n" puts "Compressed: #{compressed}%" end
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