Scala-Metaprogramming: Towers of Hanoi

TowersOfHanoi.scala

/*
 * This is the Towers of Hanoi example from the prolog tutorial [1]
 * converted into Scala, using implicits to unfold the algorithm at
 * compile-time. 
 * 
 * [1] http://www.csupomona.edu/~jrfisher/www/prolog_tutorial/2_3.html
 */

object TowersOfHanoi {
  import scala.reflect.Manifest
  	
  def simpleName(m:Manifest[_]):String = {
    val name = m.toString
    name.substring(name.lastIndexOf('$')+1)
  }
  
  trait Nat
  final class _0 extends Nat
  final class Succ[Pre<:Nat] extends Nat
	  
  type _1 = Succ[_0]
  type _2 = Succ[_1]
  type _3 = Succ[_2]
  type _4 = Succ[_3]
	   
  case class Move[N<:Nat,A,B,C]()
 
  implicit def move0[A,B,C](implicit a:Manifest[A],b:Manifest[B]):Move[_0,A,B,C] = { 
        System.out.println("Move from "+simpleName(a)+" to "+simpleName(b));null
  }

  implicit def moveN[P<:Nat,A,B,C](implicit m1:Move[P,A,C,B],m2:Move[_0,A,B,C],m3:Move[P,C,B,A])
  	:Move[Succ[P],A,B,C] = null 
  
  def run[N<:Nat,A,B,C](implicit m:Move[N,A,B,C]) = null
  
  case class Left()
  case class Center()
  case class Right()
  
  def main(args:Array[String]){
    run[_2,Left,Right,Center]
  }
}