package coq

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Parameters

module Point : Point

Signature

type t
val empty : t
val check_invariants : required_canonical:(Point.t -> bool) -> t -> unit
exception AlreadyDeclared
val add : ?rank:int -> Point.t -> t -> t

All points must be pre-declared through this function before they can be mentioned in the others. NB: use a large rank to keep the node canonical

exception Undeclared of Point.t
val check_declared : t -> Point.Set.t -> unit
  • raises Undeclared

    if one of the points is not present in the graph.

type 'a check_function = t -> 'a -> 'a -> bool
val check_eq : Point.t check_function
val check_leq : Point.t check_function
val check_lt : Point.t check_function
val enforce_eq : Point.t -> Point.t -> t -> t option
val enforce_leq : Point.t -> Point.t -> t -> t option
val enforce_lt : Point.t -> Point.t -> t -> t option
val get_explanation : (Point.t * constraint_type * Point.t) -> t -> (constraint_type * Point.t) list

Assuming that the corresponding call to enforce_* returned None, this will give a trace for the failure.

type 'a constraint_fold = (Point.t * constraint_type * Point.t) -> 'a -> 'a
val constraints_of : t -> 'a constraint_fold -> 'a -> 'a * Point.Set.t list
val constraints_for : kept:Point.Set.t -> t -> 'a constraint_fold -> 'a -> 'a
val domain : t -> Point.Set.t
val choose : (Point.t -> bool) -> t -> Point.t -> Point.t option
High-level representation
type node =
  1. | Alias of Point.t
  2. | Node of bool Point.Map.t
    (*

    Nodes v s.t. u < v (true) or u <= v (false)

    *)
type repr = node Point.Map.t
val repr : t -> repr