package knights_tour

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include sig ... end
type t
val empty : t
val add : elt -> t -> t
val singleton : elt -> t
val remove : elt -> t -> t
val union : t -> t -> t
val inter : t -> t -> t
val disjoint : t -> t -> bool
val diff : t -> t -> t
val cardinal : t -> int
val elements : t -> elt list
val min_elt : t -> elt
val min_elt_opt : t -> elt option
val max_elt : t -> elt
val max_elt_opt : t -> elt option
val choose : t -> elt
val choose_opt : t -> elt option
val find : elt -> t -> elt
val find_opt : elt -> t -> elt option
val find_first : (elt -> bool) -> t -> elt
val find_first_opt : (elt -> bool) -> t -> elt option
val find_last : (elt -> bool) -> t -> elt
val find_last_opt : (elt -> bool) -> t -> elt option
val iter : (elt -> unit) -> t -> unit
val fold : (elt -> 'acc -> 'acc) -> t -> 'acc -> 'acc
val map : (elt -> elt) -> t -> t
val filter : (elt -> bool) -> t -> t
val filter_map : (elt -> elt option) -> t -> t
val partition : (elt -> bool) -> t -> t * t
val split : elt -> t -> t * bool * t
val is_empty : t -> bool
val mem : elt -> t -> bool
val equal : t -> t -> bool
val compare : t -> t -> int
val subset : t -> t -> bool
val for_all : (elt -> bool) -> t -> bool
val exists : (elt -> bool) -> t -> bool
val to_list : t -> elt list
val of_list : elt list -> t
val to_seq_from : elt -> t -> elt Seq.t
val to_seq : t -> elt Seq.t
val to_rev_seq : t -> elt Seq.t
val add_seq : elt Seq.t -> t -> t
val of_seq : elt Seq.t -> t
val min_x : t -> int

Find the smallest x coordinate in a pointset.

val max_x : t -> int

Find the largest x coordinate in a pointset.

val min_y : t -> int

Find the smallest y coordinate in a pointset.

val max_y : t -> int

Find the largest y coordinate in a pointset.

val of_string : string -> t

Takes a 'string image' of a pointset and parses it. A string image is just a multiline string where each character indicates whether or not the square/point at the corresponding location is part of the set.

Leading and trailing whitespace on each line are ignored. The remaining characters are interpreted as follows:

  • . means the corresponding square is b not in the set
  • any other character means that it is.
val to_string : t -> string
val adjacent : t -> t

Gets the set of adjacent points. A point is adjacent if it satisfies both:

  • it is a 'neighbour of any one of the point in the input; and
  • it is not a point in the input itself
val normalize_translation : t -> t

Translates the pointset so that all points x and y coordinates are greater or equal to 0; and have the smallest possible values given these conditions (i.e there is at least one point with x = 0, and one point (possibly a different one) with y = 0))

val variants : t -> t list

Gets all 'variants' of a given PointSet. A variant is similar shape obtained by applying rotation and mirroring transformations; and then applying normalize_translation.

val normalize : t -> t

Gets a canonical representation of a pointset that can be used to represent all variants.

val translate : Knights_tour.Point.t -> t -> t

Move all points an equal distance in both x and y coordinates

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