marking3/knight2_test7.scala
author Christian Urban <urbanc@in.tum.de>
Tue, 04 Feb 2020 14:15:42 +0000
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import CW8b._
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//type Pos = (Int, Int)
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//type Path = List[Pos]
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def add_pair_urban(x: Pos)(y: Pos): Pos = 
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  (x._1 + y._1, x._2 + y._2)
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def is_legal_urban(dim: Int, path: Path)(x: Pos): Boolean = 
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  0 <= x._1 && 0 <= x._2 && x._1 < dim && x._2 < dim && !path.contains(x)
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def moves_urban(x: Pos): List[Pos] = 
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  List(( 1,  2),( 2,  1),( 2, -1),( 1, -2),
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       (-1, -2),(-2, -1),(-2,  1),(-1,  2)).map(add_pair_urban(x))
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def legal_moves_urban(dim: Int, path: Path, x: Pos): List[Pos] = 
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  moves_urban(x).filter(is_legal_urban(dim, path))
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def correct_urban(dim: Int)(p: Path): Boolean = p match {
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  case Nil => true
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  case x::Nil => true
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  case x::y::p => 
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    if (legal_moves_urban(dim, p, y).contains(x)) correct_urban(dim)(y::p) else false
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}
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def correct_closed_urban(dim: Int)(p: Path) =
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  correct_urban(6)(p) &&  moves_urban(p.head).contains(p.last)
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val tsc_urban = first_closed_tour_heuristics(6, List((3, 3))).get
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assert(correct_closed_urban(6)(tsc_urban) == true)
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