Module type Std.Edge

Interface that every Graph edge should provide

Semantics of operations is denoted using mathematical model, described in Graph interface.

type t
type node
type graph
type label
val create : node -> node -> label -> t

create x y l creates an edge connecting nodes x and y labeled with a a given label l

val label : t -> label

label e returns a label of an edge e

val src : t -> node

src e returns a source of an edge e

val dst : t -> node

dst e returns a destination of an edge e

val mem : t -> graph -> bool

mem e g is true if e ∈ E.

val insert : t -> graph -> graph

insert e g returns a graph g' with a set of edges extended with edge e. If src e or dst e wasn't in the set of nodes N, then it is extended as well, so that axioms of graph are preserved.

Postconditions: 

          - E(g') = E(g) ∪ {e}.
val update : t -> label -> graph -> graph

update e l g if edge e exists in graph g then return a new graph g' in which edge e is associated with label l. Otherwise return g unchanged.

Postcondition: 

          - E(g) ⊆ E(g')
          - N(g) ⊆ N(g')
          - e ∉ E(g) → e ∉ E(g').
          - e ∈ E(g) → ε(g')e = l.
val remove : t -> graph -> graph

remove e g returns a graph g' that doesn't contain edge e.

Postconditions: 

          - E(g') = E(g) \ {e}.
include Regular.Std.Opaque.S with type t := t
include Core_kernel.Comparable.S with type t := t
val (>=) : t -> t -> bool
val (<=) : t -> t -> bool
val (=) : t -> t -> bool
val (>) : t -> t -> bool
val (<) : t -> t -> bool
val (<>) : t -> t -> bool
val equal : t -> t -> bool
val min : t -> t -> t
val max : t -> t -> t
val ascending : t -> t -> int
val descending : t -> t -> int
val between : t -> low:t -> high:t -> bool
val clamp_exn : t -> min:t -> max:t -> t
val clamp : t -> min:t -> max:t -> t Base__.Or_error.t
type comparator_witness
val comparator : (t, comparator_witness) Base__.Comparator.comparator
val validate_lbound : min:t Base__.Maybe_bound.t -> t Base__.Validate.check
val validate_ubound : max:t Base__.Maybe_bound.t -> t Base__.Validate.check
val validate_bound : min:t Base__.Maybe_bound.t -> max:t Base__.Maybe_bound.t -> t Base__.Validate.check
module Replace_polymorphic_compare : sig ... end
module Map : sig ... end
module Set : sig ... end
include Core_kernel.Hashable.S with type t := t
val compare : t -> t -> Core_kernel__.Import.int
val hash_fold_t : Ppx_hash_lib.Std.Hash.state -> t -> Ppx_hash_lib.Std.Hash.state
val hash : t -> Ppx_hash_lib.Std.Hash.hash_value
val hashable : t Core_kernel__.Hashtbl.Hashable.t
module Table : sig ... end
module Hash_set : sig ... end
module Hash_queue : sig ... end