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A simple F# Trie with stored values
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module Trie | |
type Trie<'item, 'value when 'item : comparison> = | |
| Node of ('value list) * Map<'item, Trie<'item, 'value>> | |
| Values of 'value list | |
member x.values = | |
match x with | |
| Node (v, _) | |
| Values v -> v | |
[<CompilationRepresentation(CompilationRepresentationFlags.ModuleSuffix)>] | |
[<RequireQualifiedAccess>] | |
module Trie = | |
let rec create (sequences : ('item list * 'value) list) = | |
match sequences with | |
| [] -> | |
Values [] | |
| seqs -> | |
let ends, rest = | |
List.partition (fst >> List.isEmpty) seqs | |
let values = | |
List.map snd ends | |
match rest with | |
| [] -> Values values | |
| remaining -> | |
let subNodes = | |
remaining | |
|> List.groupBy (fst >> List.head) | |
|> List.map (fun (key, arr) -> | |
key, create (List.map (fun (items, value) -> List.tail items, value) arr)) | |
|> Map | |
Node (List.map snd ends, subNodes) | |
let potential next trie = | |
match trie with | |
| Values v -> | |
None | |
| Node (_, subNodes) -> | |
Map.tryFind next subNodes | |
let retrieve keys trie = | |
let arr = Seq.toList keys | |
let rec inner node items = | |
match node, items with | |
| Values v, [] | |
| Node (v, _), [] -> | |
v | |
| Values _, h::t -> | |
[] | |
| Node (_, subNodes), h::t -> | |
match Map.tryFind h subNodes with | |
| Some subNode -> | |
inner subNode t | |
| None -> | |
[] | |
inner trie arr | |
let exists keys trie = | |
match retrieve keys trie with | |
| [] -> false | |
| _ -> true | |
let values (trie : Trie<_,_>) = | |
trie.values | |
let rec add key value (trie : Trie<_,_>) = | |
match key, trie with | |
| [], Values vs -> | |
Values (value::vs) | |
| [], Node (vs, subNodes) -> | |
Node (value::vs, subNodes) | |
| h::t, Node (vs, subNodes) -> | |
match Map.tryFind h subNodes with | |
| Some existing -> | |
Node (vs, Map.add h (add t value existing) subNodes) | |
| None -> | |
Node (vs, Map.add h (create [t, value]) subNodes) | |
| h::t, Values vs -> | |
Node (value::vs, Map.add h (create [t, value]) Map.empty) | |
(* | |
let examples = | |
[ [ 'a'; 'b'; 'c' ], "abc" | |
[ 'a'; 'b'; 'd' ], "abd" | |
[ 'a'; 'b'; 'd' ], "abd2" | |
[ 'a'; 'b' ], "ab" | |
[ 'b'; 'c'; 'd' ], "bcd" ] | |
let t = | |
Trie.create examples | |
Trie.potential 'a' t | |
|> Option.bind (Trie.potential 'b') | |
Trie.retrieve ['a';'b'] t | |
Trie.retrieve ['a'] t | |
Trie.retrieve [] t | |
Trie.retrieve ['a';'b';'d'] t | |
Trie.retrieve ['a';'b';'e'] t | |
Trie.exists ['a';'b'] t | |
Trie.exists ['a'] t | |
Trie.exists [] t | |
Trie.exists ['a';'b';'d'] t | |
Trie.exists ['a';'b';'e'] t | |
*) |
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