package graphlib

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package graphlib
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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
include Base.Comparable.S with type t := t
include Base.Comparisons.S with type t := t
include Base.Comparisons.Infix 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

ascending is identical to compare. descending x y = ascending y x. These are intended to be mnemonic when used like List.sort ~compare:ascending and List.sort ~cmp:descending, since they cause the list to be sorted in ascending or descending order, respectively.

val descending : t -> t -> int
val between : t -> low:t -> high:t -> bool

between t ~low ~high means low <= t <= high

val clamp_exn : t -> min:t -> max:t -> t

clamp_exn t ~min ~max returns t', the closest value to t such that between t' ~low:min ~high:max is true.

Raises if not (min <= max).

val clamp : t -> min:t -> max:t -> t Base.Or_error.t
include Base.Comparator.S with type t := t
type comparator_witness
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
include Core_kernel.Hashable.S with type t := t
include Core_kernel.Hashable.Common with type t := t
val compare : t -> t -> Base.Int.t
val hash_fold_t : Base.Hash.state -> t -> Base.Hash.state
val hash : t -> Base.Hash.hash_value
val hashable : t Base.Hashable.t
module Table : Core_kernel.Hashtbl.S with type key = t
module Hash_set : Core_kernel.Hash_set.S with type elt = t
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