diff -r fd3f8581ce85 -r f8a781322499 marking/knight1b_test.scala --- a/marking/knight1b_test.scala Thu Dec 08 12:50:54 2016 +0000 +++ b/marking/knight1b_test.scala Tue Dec 13 13:02:52 2016 +0000 @@ -4,16 +4,42 @@ import ExecutionContext.Implicits.global import scala.language.postfixOps -lazy val f = Future { - assert(legal_moves(8, Nil, (2,2)) == - List((3,4), (4,3), (4,1), (3,0), (1,0), (0,1), (0,3), (1,4))) - assert(legal_moves(8, Nil, (7,7)) == List((6,5), (5,6))) - assert(legal_moves(8, List((4,1), (1,0)), (2,2)) == - List((3,4), (4,3), (3,0), (0,1), (0,3), (1,4))) - assert(legal_moves(8, List((6,6)), (7,7)) == List((6,5), (5,6))) - assert(legal_moves(1, Nil, (0,0)) == List()) - assert(legal_moves(2, Nil, (0,0)) == List()) - assert(legal_moves(3, Nil, (0,0)) == List((1,2), (2,1))) + +def count_all_tours(dim: Int) = { + for (i <- (0 until dim).toList; + j <- (0 until dim).toList) yield count_tours(dim, List((i, j))) } -Await.result(f, 120 second) +def add_pair_urban(x: Pos)(y: Pos): Pos = + (x._1 + y._1, x._2 + y._2) + +def is_legal_urban(dim: Int, path: Path)(x: Pos): Boolean = + 0 <= x._1 && 0 <= x._2 && x._1 < dim && x._2 < dim && !path.contains(x) + +def moves_urban(x: Pos): List[Pos] = + List(( 1, 2),( 2, 1),( 2, -1),( 1, -2), + (-1, -2),(-2, -1),(-2, 1),(-1, 2)).map(add_pair_urban(x)) + +def legal_moves_urban(dim: Int, path: Path, x: Pos): List[Pos] = + moves_urban(x).filter(is_legal_urban(dim, path)) + +def correct_urban(dim: Int)(p: Path): Boolean = p match { + case Nil => true + case x::Nil => true + case x::y::p => if (legal_moves_urban(dim, p, y).contains(x)) correct_urban(dim)(y::p) else false +} + + +lazy val f = Future { + assert(count_all_tours(1) == List(1)) + assert(count_all_tours(2) == List(0, 0, 0, 0)) + assert(count_all_tours(3) == List(0, 0, 0, 0, 0, 0, 0, 0, 0)) + assert(count_all_tours(4) == List(0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0)) + assert(count_all_tours(5) == List(304, 0, 56, 0, 304, 0, 56, 0, 56, 0, 56, 0, 64, 0, 56, 0, 56, 0, 56, 0, 304, 0, 56, 0, 304)) + + val ts = enum_tours(5, List((0, 2))) + assert(ts.map(correct_urban(5)).forall(_ == true) == true) + assert(ts.length == 56) +} + +Await.result(f, 360 second)