+(<+) infixr 5 :: a b -> String | toString a & toString b
+(<+) a b = toString a +++ toString b
+
+checkX :: [[SokobanTile]] Int -> Int
+checkX p x = if (x > (length p - 1)) (-1) x
+
+checkY :: [[SokobanTile]] Int Int -> Int
+checkY p x y
+ | ((x < 0) || (x > (length p - 1))) = -1
+ | otherwise = if (y > (length (p !! x) - 1)) (-1) y
+
+genField :: [[SokobanTile]] Int Int -> String
+genField p x y = " init(x" <+ x <+ "_" <+ y <+ ") := " <+ fromTile ((p !! x) !! y) <+ ";"
+
+genVars :: Int Int -> String
+genVars x y = " x" <+ x <+ "_" <+ y <+ " : {Wall, Free, Box, BoxOnTarget, Target, Agent, AgentOnTarget};"
+
+genCoord :: [[SokobanTile]] Int Int -> [String]
+genCoord p x y = [" next(x" <+ x <+ "_" <+ y <+ ") := case",
+ " x" <+ x <+ "_" <+ y <+ " = Wall: Wall;",
+ " x" <+ x <+ "_" <+ y <+ " = Free & (x" <+ (checkX p x) <+ "_" <+ (checkY p x (y+1)) <+ " = Agent | x"
+ <+ (checkX p x) <+ "_" <+ (checkY p x (y+1)) <+ " = AgentOnTarget) & move = Left: Agent;",
+ " x" <+ x <+ "_" <+ y <+ " = Free & (x" <+ (checkX p (x+1)) <+ "_" <+ (checkY p (x+1) y) <+ " = Agent | x"
+ <+ (checkX p (x+1)) <+ "_" <+ (checkY p (x+1) y) <+ " = AgentOnTarget) & move = Up: Agent;",
+ " x" <+ x <+ "_" <+ y <+ " = Free & (x" <+ (checkX p x) <+ "_" <+ (checkY p x (y-1)) <+ " = Agent | x"
+ <+ (checkX p x) <+ "_" <+ (checkY p x (y-1)) <+ " = AgentOnTarget) & move = Right : Agent;",
+ " x" <+ x <+ "_" <+ y <+ " = Free & (x" <+ (checkX p (x-1)) <+ "_" <+ (checkY p (x-1) y) <+ " = Agent | x"
+ <+ (checkX p (x-1)) <+ "_" <+ (checkY p (x-1) y) <+ " = AgentOnTarget) & move = Down : Agent;",
+
+ " x" <+ x <+ "_" <+ y <+ " = Free & (x" <+ (checkX p x) <+ "_" <+ (checkY p x (y+1)) <+ " = Box | x"
+ <+ (checkX p x) <+ "_" <+ (checkY p x (y+1)) <+ " = BoxOnTarget) & (x" <+ (checkX p x) <+ "_" <+ (checkY p x (y+2)) <+ " = Agent | x"
+ <+ (checkX p x) <+ "_" <+ (checkY p x (y+2)) <+ " = AgentOnTarget) & move = Left: Box;",
+ " x" <+ x <+ "_" <+ y <+ " = Free & (x" <+ (checkX p (x+1)) <+ "_" <+ (checkY p (x+1) y) <+ " = Box | x"
+ <+ (checkX p (x+1)) <+ "_" <+ (checkY p (x+1) y) <+ " = BoxOnTarget) & (x" <+ (checkX p (x+2)) <+ "_" <+ (checkY p (x+2) y) <+ " = Agent | x"
+ <+ (checkX p (x+2)) <+ "_" <+ (checkY p (x+2) y) <+ " = AgentOnTarget) & move = Up: Box;",
+ " x" <+ x <+ "_" <+ y <+ " = Free & (x" <+ (checkX p x) <+ "_" <+ (checkY p x (y-1)) <+ " = Box | x"
+ <+ (checkX p x) <+ "_" <+ (checkY p x (y-1)) <+ " = BoxOnTarget) & (x" <+ (checkX p x) <+ "_" <+ (checkY p x (y-2)) <+ " = Agent | x"
+ <+ (checkX p x) <+ "_" <+ (checkY p x (y-2)) <+ " = AgentOnTarget) & move = Right : Box;",
+ " x" <+ x <+ "_" <+ y <+ " = Free & (x" <+ (checkX p (x-1)) <+ "_" <+ (checkY p (x-1) y) <+ " = Box | x"
+ <+ (checkX p (x-1)) <+ "_" <+ (checkY p (x-1) y) <+ " = BoxOnTarget) & (x" <+ (checkX p (x-2)) <+ "_" <+ (checkY p (x-2) y) <+ " = Agent | x"
+ <+ (checkX p (x-2)) <+ "_" <+ (checkY p (x-2) y) <+ " = AgentOnTarget) & move = Down : Box;",
+
+ " x" <+ x <+ "_" <+ y <+ " = Agent & (x" <+ (checkX p x) <+ "_" <+ (checkY p x (y+1)) <+ " = Free | x" <+ (checkX p x) <+ "_" <+ (checkY p x (y+1)) <+ " = Target) & move = Right: Free;",
+ " x" <+ x <+ "_" <+ y <+ " = Agent & (x" <+ (checkX p (x+1)) <+ "_" <+ (checkY p (x+1) y) <+ " = Free | x" <+ (checkX p (x+1)) <+ "_" <+ (checkY p x y) <+ " = Target) & move = Down: Free;",
+ " x" <+ x <+ "_" <+ y <+ " = Agent & (x" <+ (checkX p x) <+ "_" <+ (checkY p x (y-1)) <+ " = Free | x" <+ (checkX p x) <+ "_" <+ (checkY p x (y-1)) <+ " = Target) & move = Left : Free;",
+ " x" <+ x <+ "_" <+ y <+ " = Agent & (x" <+ (checkX p (x-1)) <+ "_" <+ (checkY p (x-1) y) <+ "= Free | x" <+ (checkX p (x-1)) <+ "_" <+ (checkY p (x-1) y) <+ " = Target) & move = Up : Free;",
+
+ " x" <+ x <+ "_" <+ y <+ " = Agent & (x" <+ (checkX p x) <+ "_" <+ (checkY p x (y+1)) <+ " = Box | x"
+ <+ (checkX p x) <+ "_" <+ (checkY p x (y+1)) <+ " = BoxOnTarget) & (x"
+ <+ (checkX p x) <+ "_" <+ (checkY p x (y+2)) <+ " = Free | x" <+ (checkX p x) <+ "_" <+ (checkY p x (y+2)) <+ " = Target) & move = Right: Free;",
+ " x" <+ x <+ "_" <+ y <+ " = Agent & (x" <+ (checkX p (x+1)) <+ "_" <+ (checkY p x y) <+ " = Box | x"
+ <+ (checkX p (x+1)) <+ "_" <+ (checkY p x y) <+ " = BoxOnTarget) & (x"
+ <+ (checkX p (x+2)) <+ "_" <+ (checkY p (x+2) y) <+ " = Free | x" <+ (checkX p (x+2)) <+ "_" <+ (checkY p (x+2) y) <+ " = Target) & move = Down: Free;",
+ " x" <+ x <+ "_" <+ y <+ " = Agent & (x" <+ (checkX p x) <+ "_" <+ (checkY p x (y-1)) <+ " = Box | x"
+ <+ (checkX p x) <+ "_" <+ (checkY p x (y-1)) <+ " = BoxOnTarget) & (x"
+ <+ (checkX p x) <+ "_" <+ (checkY p x (y-2)) <+ " = Free | x" <+ (checkX p x) <+ "_" <+ (checkY p x (y-2)) <+ " = Target) & move = Left: Free;",
+ " x" <+ x <+ "_" <+ y <+ " = Agent & (x" <+ (checkX p (x-1)) <+ "_" <+ (checkY p (x-1) y) <+ " = Box | x"
+ <+ (checkX p (x-1)) <+ "_" <+ (checkY p (x-1) y) <+ " = BoxOnTarget) & (x"
+ <+ (checkX p (x-2)) <+ "_" <+ (checkY p (x-2) y) <+ " = Free | x" <+ (checkX p (x-2)) <+ "_" <+ (checkY p (x-2) y) <+ " = Target) & move = Up: Free;",
+
+ " x" <+ x <+ "_" <+ y <+ " = Box & (x" <+ (checkX p x) <+ "_" <+ (checkY p x (y+1)) <+ " = Agent | x"
+ <+ (checkX p x) <+ "_" <+ (checkY p x (y+1)) <+ " = AgentOnTarget) & (x" <+ (checkX p x) <+ "_" <+ (checkY p x (y-1)) <+ " = Free | x" <+ (checkX p x) <+ "_" <+ (checkY p x (y-1)) <+ " = Target) & move = Left: Agent;",
+ " x" <+ x <+ "_" <+ y <+ " = Box & (x" <+ (checkX p (x+1)) <+ "_" <+ (checkY p (x+1) y) <+ " = Agent | x"
+ <+ (checkX p (x+1)) <+ "_" <+ (checkY p (x+1) y) <+ " = AgentOnTarget) & (x" <+ (x-1) <+ "_" <+ (checkY p (x-1) y) <+ " = Free | x" <+ (checkX p (x-1)) <+ "_" <+ (checkY p (x-1) y) <+ " = Target) & move = Up: Agent;",
+ " x" <+ x <+ "_" <+ y <+ " = Box & (x" <+ (checkX p x) <+ "_" <+ (checkY p x (y-1)) <+ " = Agent | x"
+ <+ (checkX p x) <+ "_" <+ (checkY p x (y-1)) <+ " = AgentOnTarget) & (x" <+ (checkX p x) <+ "_" <+ (checkY p x (y+1)) <+ " = Free | x" <+ (checkX p x) <+ "_" <+ (checkY p x (y+1)) <+ " = Target) & move = Right : Agent;",
+ " x" <+ x <+ "_" <+ y <+ " = Box & (x" <+ (checkX p (x-1)) <+ "_" <+ (checkY p (x-1) y) <+ " = Agent | x"
+ <+ (checkX p (x-1)) <+ "_" <+ (checkY p (x-1) y) <+ " = AgentOnTarget) & (x" <+ (checkX p (x+1)) <+ "_" <+ (checkY p (x+1) y) <+ " = Free | x" <+ (checkX p (x+1)) <+ "_" <+ (checkY p x y) <+ " = Target) & move = Down : Agent;",
+
+ " x" <+ x <+ "_" <+ y <+ " = Target & (x" <+ (checkX p x) <+ "_" <+ (checkY p x (y+1)) <+ " = Agent | x"
+ <+ (checkX p x) <+ "_" <+ (checkY p x (y+1)) <+ " = AgentOnTarget) & move = Left: AgentOnTarget;",
+ " x" <+ x <+ "_" <+ y <+ " = Target & (x" <+ (checkX p (x+1)) <+ "_" <+ (checkY p (x+1) y) <+ " = Agent | x"
+ <+ (checkX p (x+1)) <+ "_" <+ (checkY p (x+1) y) <+ " = AgentOnTarget) & move = Up: AgentOnTarget;",
+ " x" <+ x <+ "_" <+ y <+ " = Target & (x" <+ (checkX p x) <+ "_" <+ (checkY p x (y-1)) <+ " = Agent | x"
+ <+ (checkX p x) <+ "_" <+ (checkY p x (y-1)) <+ " = AgentOnTarget) & move = Right : AgentOnTarget;",
+ " x" <+ x <+ "_" <+ y <+ " = Target & (x" <+ (checkX p (x-1)) <+ "_" <+ (checkY p (x-1) y) <+ " = Agent | x"
+ <+ (checkX p (x-1)) <+ "_" <+ (checkY p (x-1) y) <+ " = AgentOnTarget) & move = Down : AgentOnTarget;",
+
+ " x" <+ x <+ "_" <+ y <+ " = Target & (x" <+ (checkX p x) <+ "_" <+ (checkY p x (y+1)) <+ " = Box | x"
+ <+ (checkX p x) <+ "_" <+ (checkY p x (y+1)) <+ " = BoxOnTarget) & (x" <+ (checkX p x) <+ "_" <+ (checkY p x (y+2)) <+ " = Agent | x"
+ <+ (checkX p x) <+ "_" <+ (checkY p x (y+2)) <+ " = AgentOnTarget) & move = Left: BoxOnTarget;",
+ " x" <+ x <+ "_" <+ y <+ " = Target & (x" <+ (checkX p (x+1)) <+ "_" <+ (checkY p (x+1) y) <+ " = Box | x"
+ <+ (checkX p (x+1)) <+ "_" <+ (checkY p (x+1) y) <+ " = BoxOnTarget) & (x" <+ (checkX p (x+2)) <+ "_" <+ (checkY p (x+2) y) <+ " = Agent | x"
+ <+ (checkX p (x+2)) <+ "_" <+ (checkY p (x+2) y) <+ " = AgentOnTarget) & move = Up: BoxOnTarget;",
+ " x" <+ x <+ "_" <+ y <+ " = Target & (x" <+ (checkX p x) <+ "_" <+ (checkY p x (y-1)) <+ " = Box | x"
+ <+ (checkX p x) <+ "_" <+ (checkY p x (y-1)) <+ " = BoxOnTarget) & (x" <+ (checkX p x) <+ "_" <+ (checkY p x (y-2)) <+ " = Agent | x"
+ <+ (checkX p x) <+ "_" <+ (checkY p x (y-2)) <+ " = AgentOnTarget) & move = Right : BoxOnTarget;",
+ " x" <+ x <+ "_" <+ y <+ " = Target & (x" <+ (checkX p (x-1)) <+ "_" <+ (checkY p (x-1) y) <+ " = Box | x"
+ <+ (checkX p (x-1)) <+ "_" <+ (checkY p (x-1) y) <+ " = BoxOnTarget) & (x" <+ (checkX p (x-2)) <+ "_" <+ (checkY p (x-2) y) <+ " = Agent | x"
+ <+ (checkX p (x-2)) <+ "_" <+ (checkY p (x-2) y) <+ " = AgentOnTarget) & move = Down : BoxOnTarget;",
+
+ " x" <+ x <+ "_" <+ y <+ " = AgentOnTarget & (x" <+ (checkX p x) <+ "_" <+ (checkY p x (y+1)) <+ " = Free | x" <+ (checkX p x) <+ "_" <+ (checkY p x (y+1)) <+ " = Target) & move = Right: Target;",
+ " x" <+ x <+ "_" <+ y <+ " = AgentOnTarget & (x" <+ (checkX p (x+1)) <+ "_" <+ (checkY p (x+1) y) <+ " = Free | x" <+ (checkX p (x+1)) <+ "_" <+ (checkY p (x+1) y) <+ " = Target) & move = Down: Target;",
+ " x" <+ x <+ "_" <+ y <+ " = AgentOnTarget & (x" <+ (checkX p x) <+ "_" <+ (checkY p x (y-1)) <+ " = Free | x" <+ (checkX p x) <+ "_" <+ (checkY p x (y-1)) <+ " = Target) & move = Left : Target;",
+ " x" <+ x <+ "_" <+ y <+ " = AgentOnTarget & (x" <+ (checkX p (x-1)) <+ "_" <+ (checkY p (x-1) y) <+ " = Free | x" <+ (checkX p (x-1)) <+ "_" <+ (checkY p (x-1) y) <+ " = Target) & move = Up : Target;",
+
+ " x" <+ x <+ "_" <+ y <+ " = BoxOnTarget & (x" <+ (checkX p x) <+ "_" <+ (checkY p x (y+1)) <+ " = Agent | x"
+ <+ (checkX p x) <+ "_" <+ (checkY p x (y+1)) <+ " = AgentOnTarget) & (x" <+ (checkX p x) <+ "_" <+ (checkY p x (y-1)) <+ " = Free | x" <+ (checkX p x) <+ "_" <+ (checkY p x (y-1)) <+ " = Target) & move = Left: AgentOnTarget;",
+ " x" <+ x <+ "_" <+ y <+ " = BoxOnTarget & (x" <+ (checkX p (x+1)) <+ "_" <+ (checkY p (x+1) y) <+ " = Agent | x"
+ <+ (checkX p (x+1)) <+ "_" <+ (checkY p (x+1) y) <+ " = AgentOnTarget) & (x" <+ (checkX p (x-1)) <+ "_" <+ (checkY p (x-1) y) <+ " = Free | x" <+ (checkX p (x-1)) <+ "_"
+ <+ (checkY p (x-1) y) <+ " = Target) & move = Up: AgentOnTarget;",
+ " x" <+ x <+ "_" <+ y <+ " = BoxOnTarget & (x" <+ (checkX p x) <+ "_" <+ (checkY p x (y-1)) <+ " = Agent | x"
+ <+ (checkX p x) <+ "_" <+ (checkY p x (y-1)) <+ " = AgentOnTarget) & (x" <+ (checkX p x) <+ "_" <+ (checkY p x (y+1)) <+ " = Free | x" <+ x <+ "_" <+ (checkY p x (y+1)) <+ " = Target) & move = Right : AgentOnTarget;",
+ " x" <+ x <+ "_" <+ y <+ " = BoxOnTarget & (x" <+ (checkX p (x-1)) <+ "_" <+ (checkY p (x-1) y) <+ " = Agent | x"
+ <+ (checkX p (x-1)) <+ "_" <+ (checkY p (x-1) y) <+ " = AgentOnTarget) & (x" <+ (checkX p (x+1)) <+ "_" <+ (checkY p (x+1) y) <+ " = Free | x" <+ (checkX p (x+1)) <+ "_"
+ <+ (checkY p (x+1) y) <+ " = Target) & move = Down : AgentOnTarget;",
+
+ " TRUE : x" <+ x <+ "_" <+ y <+ ";",
+ " esac;"
+ ]
+
+instance == SokobanTile
+where
+ (==) Wall Wall = True
+ (==) Free Free = True
+ (==) Box Box = True
+ (==) Agent Agent = True
+ (==) Target Target = True
+ (==) TargetBox TargetBox = True
+ (==) TargetAgent TargetAgent = True
+ (==) _ _ = False