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#!/usr/bin/env ruby
require 'term/ansicolor'
require 'tins'
module Turing
class Tape
def initialize(*initials)
@left = []
@head = 'B'
@right = []
c = 0
first = true
for initial in initials
if first
c += 1
first = false
else
@left.push 'B'
c += 1
end
for s in initial.split(//)
@left.push s
c += 1
end
end
c.times { left }
end
def read
@head
end
def write(symbol)
@head = symbol
self
end
def left
@right.push @head
@head = @left.pop || 'B'
self
end
def right
@left.push @head
@head = @right.pop || 'B'
self
end
def clear
@left.clear
@right.clear
@head = 'B'
self
end
def to_s
"#{@left.join}#{Term::ANSIColor.red(@head)}#{@right.join.reverse}"
end
alias inspect to_s
end
module States
class State
attr_accessor :tape
end
class Cond < State
def initialize(opts = {})
@if, @then, @else = opts.values_at :if, :then, :else
end
def execute
tape.read == @if ? @then : @else
end
def to_s
"if #@if then #@then else #@else"
end
def to_graphviz(stateno, tapeno = nil)
%{#{stateno} [ shape=diamond label="#{tapeno && "#{tapeno}: "}#@if" ];
#{stateno} -> #@then [ taillabel="+" ];
#{stateno} -> #@else [ taillabel="-" ];
#{stateno} -> #{stateno} [ label="#{stateno}" weight=4.0 color=transparent ];}
end
end
class Left < State
def initialize(opts = {})
@goto = opts[:goto]
end
def execute
tape.left
@goto
end
def to_s
"left, goto #@goto"
end
def to_graphviz(stateno, tapeno = nil)
%{#{stateno} [ shape=rect label="#{tapeno && "#{tapeno}: "}L" ];
#{stateno} -> #@goto;
#{stateno} -> #{stateno} [ label="#{stateno}" weight=4.0 color=transparent ];}
end
end
class Right < State
def initialize(opts = {})
@goto = opts[:goto]
end
def execute
tape.right
@goto
end
def to_s
"right, goto #@goto"
end
def to_graphviz(stateno, tapeno = nil)
%{#{stateno} [ shape=rect label="#{tapeno && "#{tapeno}: "}R" ];
#{stateno} -> #@goto;
#{stateno} -> #{stateno} [ label="#{stateno}" weight=4.0 color=transparent ];}
end
end
class Write < State
def initialize(opts = {})
@symbol, @goto = opts.values_at :symbol, :goto
end
def execute
tape.write @symbol
@goto
end
def to_s
"write #@symbol, goto #@goto"
end
def to_graphviz(stateno, tapeno = nil)
%{#{stateno} [ shape=rect label="#{tapeno && "#{tapeno}: "}#@symbol" ];
#{stateno} -> #@goto;
#{stateno} -> #{stateno} [ label="#{stateno}" weight=4.0 color=transparent ];}
end
end
class Halt < State
def initialize(opts = {})
end
def execute
-1
end
def to_s
'halt'
end
def to_graphviz(stateno, tapeno = nil)
%{#{stateno} [ shape=rect label="HALT" ];
#{stateno} -> #{stateno} [ label="#{stateno}" weight=4.0 color=transparent ];}
end
end
end
class BaseMachine
def initialize(program = nil, &block)
@states = []
if program
block_given? and raise "use either program source string or a block"
interpret program
else
instance_eval(&block)
end
end
def step(*tapes)
@stepping = true
run(*tapes)
end
end
class SingleTapeMachine < BaseMachine
include Tins::Deflect
include Tins::Interpreter
def initialize(program = nil)
deflector = Deflector.new do |number, id, name, *args|
opts = Hash === args.last ? args.pop : {}
state = States.const_get(name.to_s.capitalize).new(opts)
@states[number] = state
end
deflect_start(Integer, :method_missing, deflector)
super
ensure
deflect_stop(Integer, :method_missing) if deflect?(Integer, :method_missing)
end
def run(*tape)
@tape = Tape.new(*tape)
@states.each { |s| s and s.tape = @tape }
goto_state = -1
@states.any? { |s| goto_state += 1; s }
begin
printf "%3u: %s", goto_state, @tape
@stepping ? STDIN.gets : puts
goto_state = @states[goto_state].execute
end until goto_state < 0
end
def to_s
result = ''
@states.each_with_index do |state, i|
result << "%3u. %s\n" % [ i, state ]
end
result
end
def to_graphviz
result = "digraph {\n"
start_edge = false
@states.each_with_index do |state, stateno|
state or next
unless start_edge
result << "start [ fontcolor=transparent color=transparent ];"
result << "start -> #{stateno};"
start_edge = true
end
result << state.to_graphviz(stateno) << "\n"
end
result << "}\n"
end
end
class MultiTapeMachine < BaseMachine
include Tins::Deflect
include Tins::Interpreter
def initialize(program = nil)
deflector = Deflector.new do |number, id, name, *args|
opts = Hash === args.last ? args.pop : {}
tape, = *args
state = States.const_get(name.to_s.capitalize).new(opts)
@states[number] = [ tape, state ]
end
deflect_start(Integer, :method_missing, deflector)
super
ensure
deflect_stop(Integer, :method_missing) if deflect?(Integer, :method_missing)
end
def run(*tapes)
tapes.unshift ''
@tapes = tapes.map { |tape| Tape.new(tape) }
goto_state = -1
@states.any? { |s| goto_state += 1; s }
begin
printf "%3u: %s", goto_state, @tapes * ' '
@stepping ? STDIN.gets : puts
tape, state = @states[goto_state]
state.tape = tape ? @tapes[tape] : nil
goto_state = state.execute
end until goto_state < 0
end
def to_s
result = ''
@states.each_with_index do |(tape, state), i|
result << "%3u. %1u: %s\n" % [ i, tape, state ]
end
result
end
def to_graphviz
result = "digraph {\n"
start_edge = false
@states.each_with_index do |(tapeno,state), stateno|
state or next
unless start_edge
result << "start [ fontcolor=transparent color=transparent ];"
result << "start -> #{stateno};"
start_edge = true
end
result << state.to_graphviz(stateno, tapeno) << "\n"
end
result << "}\n"
end
end
end
if $0 == __FILE__ and ARGV.any?
include Turing
filename, *tapes = ARGV
machine_type =
case ext = File.extname(filename)
when '.stm'
SingleTapeMachine
when '.mtm'
MultiTapeMachine
else
raise "unknown turing machine suffix: #{ext}, use .stm or .mtm"
end
tm = machine_type.new(File.read(filename))
$DEBUG ? tm.step(*tapes) : tm.run(*tapes)
end
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