package patricia-tree
Patricia Tree data structure in OCaml for maps and sets. Supports generic key-value pairs
Install
Dune Dependency
Authors
Maintainers
Sources
patricia-tree-0.11.0.tbz
sha256=18fcde5d35d65c9bb2f9ec4ff732ecdd8969ba6fc2cf51d29ecb3be66e2fe664
sha512=da038d5096deb4bf3c02efd694e962ecf9b2571d140fa1fef17cce474f628ec070b93a44fd742748b9d3ba0e51041f864623d83e9cb0c72214abb0fb4a043625
doc/src/patricia-tree/nodes.ml.html
Source file nodes.ml
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(**************************************************************************) (* This file is part of the Codex semantics library *) (* (patricia-tree sub-component). *) (* *) (* Copyright (C) 2024-2025 *) (* CEA (Commissariat à l'énergie atomique et aux énergies *) (* alternatives) *) (* *) (* You can redistribute it and/or modify it under the terms of the GNU *) (* Lesser General Public License as published by the Free Software *) (* Foundation, version 2.1. *) (* *) (* It is distributed in the hope that it will be useful, *) (* but WITHOUT ANY WARRANTY; without even the implied warranty of *) (* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the *) (* GNU Lesser General Public License for more details. *) (* *) (* See the GNU Lesser General Public License version 2.1 *) (* for more details (enclosed in the file LICENSE). *) (**************************************************************************) open Ints open Signatures let sdbm x y = y + (x lsl 16) + (x lsl 6) - x (** Combine two numbers into a new hash *) (** Simple node, with no hash consing. *) module [@inline] SimpleNode(Key:sig type 'a t end)(Value:HETEROGENEOUS_VALUE) = struct type 'a key = 'a Key.t type ('key,'map) value = ('key,'map) Value.t type 'map view = | Empty: 'map view | Branch: {prefix:intkey;branching_bit:mask;tree0:'map t;tree1:'map t} -> 'map view | Leaf: {key:'key key; value:('key,'map) value} -> 'map view and 'map t = 'map view let view x = x let empty = Empty let is_empty x = x == Empty let leaf key value = Leaf {key;value} let branch ~prefix ~branching_bit ~tree0 ~tree1 = match tree0,tree1 with | Empty, x -> x | x, Empty -> x | _ -> Branch{prefix;branching_bit;tree0;tree1} end module WeakNode(Key:sig type 'a t end)(Value:HETEROGENEOUS_VALUE)(* :NODE *) = struct type 'a key = 'a Key.t type ('key,'map) value = ('key,'map) Value.t type 'map view = | Empty: 'map view | Branch: {prefix:intkey;branching_bit:mask;tree0:'map t;tree1:'map t} -> 'map view | Leaf: {key:'key key; value:('key,'map) value} -> 'map view and 'a t = | TEmpty: 'map t | TBranch: {prefix:intkey;branching_bit:mask;tree0:'map t;tree1:'map t} -> 'map t (* Additional hidden case: leaf, which is an Ephemeron.K1, whose tag is 251, so it can be discriminated against the other cases. This avoids an indirection. *) let empty = TEmpty let is_empty x = x == TEmpty let leaf key value = Obj.magic (Ephemeron.K1.make key value) let branch ~prefix ~branching_bit ~tree0 ~tree1 = match tree0,tree1 with | TEmpty, x -> x | x, TEmpty -> x | _ -> TBranch{prefix;branching_bit;tree0;tree1} let view (type k) (type map) (t:map t) = let obj = Obj.repr t in if Obj.is_block obj && Obj.tag obj != 0 then (* Ephemeron.K1.get_(key|value) are no longer available in 5.0, so we do that instead. *) let ephe:Obj.Ephemeron.t = Obj.magic obj in let key:k key option = Obj.magic @@ Obj.Ephemeron.get_key ephe 0 in let data:(k,map) Value.t option = Obj.magic @@ Obj.Ephemeron.get_data ephe in match key,data with | Some key, Some value -> Leaf{key;value} | _ -> Empty else match t with | TEmpty -> Empty | TBranch{prefix;branching_bit;tree0;tree1} -> Branch{prefix;branching_bit;tree0;tree1} end (** Add a unique id to nodes, e.g. so that they can be used as keys in maps or sets. *) module NodeWithId(Key:sig type 'a t end)(Value:HETEROGENEOUS_VALUE):NODE_WITH_ID with type 'key key = 'key Key.t and type ('key,'map) value = ('key,'map) Value.t = struct type 'a key = 'a Key.t type ('key,'map) value = ('key,'map) Value.t type 'map view = | Empty: 'map view | Branch: {prefix:intkey;branching_bit:mask;tree0:'map t;tree1:'map t} -> 'map view | Leaf: {key:'key key; value:('key,'map) value} -> 'map view and 'map t = | NEmpty: 'map t | NBranch: {prefix:intkey;branching_bit:mask;tree0:'map t;tree1:'map t;id:int} -> 'map t | NLeaf: {key:'key key;value:('key,'map) value;id:int} -> 'map t let view = function | NEmpty -> Empty | NBranch{prefix;branching_bit;tree0;tree1;_} -> Branch{prefix;branching_bit;tree0;tree1} | NLeaf{key;value;_} -> Leaf{key;value} let to_int = function | NEmpty -> 0 | NBranch{id;_} -> id | NLeaf{id;_} -> id let count = ref 0 let empty = NEmpty let is_empty x = x == NEmpty let leaf key value = incr count; NLeaf {key;value;id=(!count)} let branch ~prefix ~branching_bit ~tree0 ~tree1 = match tree0,tree1 with | NEmpty, x -> x | x, NEmpty -> x | _ -> incr count; NBranch{prefix;branching_bit;tree0;tree1;id=(!count)} end (** NODE for sets, i.e. when there is no associated values. *) module SetNode(Key:sig type 'a t end):NODE with type 'key key = 'key Key.t and type ('key,'map) value = unit = struct type 'a key = 'a Key.t type ('key,'map) value = unit type 'map view = | Empty: 'map view | Branch: {prefix:intkey;branching_bit:mask;tree0:'map t;tree1:'map t} -> 'map view | Leaf: {key:'key key; value:('key,'map) value} -> 'map view and 'map t = | NEmpty: 'map t | NBranch: {prefix:intkey;branching_bit:mask;tree0:'map t;tree1:'map t} -> 'map t | NLeaf: {key:'key key} -> 'map t let view = function | NEmpty -> Empty | NBranch{prefix;branching_bit;tree0;tree1} -> Branch{prefix;branching_bit;tree0;tree1} | NLeaf{key} -> Leaf{key;value=()} let empty = NEmpty let is_empty x = x == NEmpty let leaf key _value = NLeaf {key} let branch ~prefix ~branching_bit ~tree0 ~tree1 = match tree0,tree1 with | NEmpty, x -> x | x, NEmpty -> x | _ -> NBranch{prefix;branching_bit;tree0;tree1} end module WeakSetNode(Key:sig type 'a t end)(* :NODE *) = struct type 'a key = 'a Key.t type ('key,'map) value = unit type 'map view = | Empty: 'map view | Branch: {prefix:intkey;branching_bit:mask;tree0:'map t;tree1:'map t} -> 'map view | Leaf: {key:'key key; value:('key,'map) value} -> 'map view and 'a t = | TEmpty: 'map t | TBranch: {prefix:intkey;branching_bit:mask;tree0:'map t;tree1:'map t} -> 'map t (* Additional hidden case: leaf, which is a Weak array, whose tag is 251, so it can be discriminated against the other cases. This avoids an indirection. *) let empty = TEmpty let is_empty x = x == TEmpty let leaf key () = Obj.magic (let a = Weak.create 1 in Weak.set a 0 (Some key)) let branch ~prefix ~branching_bit ~tree0 ~tree1 = match tree0,tree1 with | TEmpty, x -> x | x, TEmpty -> x | _ -> TBranch{prefix;branching_bit;tree0;tree1} let view t = let obj = Obj.repr t in if Obj.is_block obj && Obj.tag obj != 0 then let weak = Obj.magic obj in let key = Weak.get weak 0 in match key with | Some key -> Leaf{key;value=()} | _ -> Empty else match t with (* Identity in memory. *) | TEmpty -> Empty | TBranch{prefix;branching_bit;tree0;tree1} -> Branch{prefix;branching_bit;tree0;tree1} end module HashconsedNode(Key:HETEROGENEOUS_KEY)(Value:HETEROGENEOUS_HASHED_VALUE)() (* : HASH_CONSED_NODE with type 'key key = 'key Key.t and type ('key, 'map) value = ('key, 'map) Value.t *) = struct type 'a key = 'a Key.t type ('key, 'map) value = ('key, 'map) Value.t type 'map view = | Empty: 'map view | Branch: { prefix:intkey; branching_bit:mask; tree0:'map t; tree1:'map t } -> 'map view | Leaf: { key:'key key; value:('key,'map) value } -> 'map view and 'map t = | NEmpty: 'map t | NBranch: { prefix:intkey; branching_bit:mask; tree0:'map t; tree1:'map t; id:int } -> 'map t | NLeaf: { key:'key key; value:('key, 'map) Value.t; id:int } -> 'map t let view = function | NEmpty -> Empty | NBranch{prefix;branching_bit;tree0;tree1;_} -> Branch{prefix;branching_bit;tree0;tree1} | NLeaf{key;value;_} -> Leaf{key;value} let to_int = function | NEmpty -> 0 | NBranch{ id; _ } -> id | NLeaf{ id; _ } -> id let count = ref 1 (** Start at 1 as we increment in post *) type any_map = AnyMap : 'a t -> any_map [@@unboxed] module HashArg = struct type t = any_map let equal (AnyMap a) (AnyMap b) = match a, b with | NEmpty, NEmpty -> true | NLeaf{key=key1;value=value1;_}, NLeaf{key=key2;value=value2;_} -> begin match Key.polyeq key1 key2 with | Eq -> Value.polyeq value1 value2 | Diff -> false end | NBranch{prefix=prefixa;branching_bit=branching_bita;tree0=tree0a;tree1=tree1a;_}, NBranch{prefix=prefixb;branching_bit=branching_bitb;tree0=tree0b;tree1=tree1b;_} -> prefixa == prefixb && branching_bita == branching_bitb && to_int tree0a = to_int tree0b && to_int tree1a = to_int tree1b | _ -> false let hash (AnyMap x) = match x with | NEmpty -> 0 | NLeaf{key; value; _} -> let hash = sdbm (Key.to_int key) (Value.hash value) in (hash lsl 1) lor 1 (* All leaf hashes are odd *) | NBranch{prefix; branching_bit; tree0; tree1; _} -> (* All branch hashes are even *) (sdbm ((prefix :> int) lor (branching_bit :> int)) @@ sdbm (to_int tree0) (to_int tree1)) lsl 1 end module WeakHash = Weak.Make(HashArg) let weakh = WeakHash.create 120 let empty = NEmpty let is_empty x = x == NEmpty let try_find (tentative : 'a t) = let AnyMap x = WeakHash.merge weakh (AnyMap tentative) in let x : 'a t = Obj.magic x in if x == tentative then incr count; x let leaf key value = try_find (NLeaf{key;value;id= !count}) let branch ~prefix ~branching_bit ~tree0 ~tree1 = match tree0,tree1 with | NEmpty, x -> x | x, NEmpty -> x | _ -> try_find (NBranch{prefix;branching_bit;tree0;tree1;id=(!count)}) let equal x y = x == y let compare x y = Int.compare (to_int x) (to_int y) end module HashconsedSetNode(Key:HETEROGENEOUS_KEY)(): HASH_CONSED_NODE with type 'key key = 'key Key.t and type ('key,'map) value = unit = struct type 'a key = 'a Key.t type ('key,'map) value = unit type map = | NEmpty: map | NBranch: { prefix:intkey; branching_bit:mask; tree0:map; tree1:map; id:int } -> map | NLeaf: { key:'key key; id:int } -> map type 'map view = | Empty: 'map view | Branch: { prefix:intkey; branching_bit:mask; tree0:'map t; tree1:'map t } -> 'map view | Leaf: { key:'key key; value:unit } -> 'map view and _ t = map let view = function | NEmpty -> Empty | NBranch{prefix;branching_bit;tree0;tree1;_} -> Branch{prefix;branching_bit;tree0;tree1} | NLeaf{ key; _ } -> Leaf{ key; value=() } let to_int = function | NEmpty -> 0 | NBranch{ id; _ } -> id | NLeaf{ id; _ } -> id let count = ref 1 (** Start at 1 as we increment in post *) module HashArg = struct type t = map let equal a b = match a, b with | NEmpty, NEmpty -> true | NLeaf{key=key1;_}, NLeaf{key=key2;_} -> begin match Key.polyeq key1 key2 with | Eq -> true | Diff -> false end | NBranch{prefix=prefixa;branching_bit=branching_bita;tree0=tree0a;tree1=tree1a;_}, NBranch{prefix=prefixb;branching_bit=branching_bitb;tree0=tree0b;tree1=tree1b;_} -> prefixa == prefixb && branching_bita == branching_bitb && tree0a == tree0b && tree1a == tree1b | _ -> false let hash a = match a with | NEmpty -> 0 | NLeaf{key; _} -> ((Key.to_int key) lsl 1) lor 1 (* All leaf hashes are odd *) | NBranch{prefix; branching_bit; tree0; tree1; _} -> (* All branch hashes are even *) (sdbm ((prefix :> int) lor (branching_bit :> int)) @@ sdbm (to_int tree0) (to_int tree1)) lsl 1 end module WeakHash = Weak.Make(HashArg) let weakh = WeakHash.create 120 let empty = NEmpty let is_empty x = x == NEmpty let try_find tentative = let x = WeakHash.merge weakh tentative in if x == tentative then incr count; x let leaf key () = try_find (NLeaf{ key; id = !count }) let branch ~prefix ~branching_bit ~tree0 ~tree1 = match tree0,tree1 with | NEmpty, x -> x | x, NEmpty -> x | _ -> try_find (NBranch{prefix;branching_bit;tree0;tree1;id=(!count)}) let equal x y = x == y let compare x y = Int.compare (to_int x) (to_int y) end
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