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-rw-r--r--lib/stdlib/src/sets.erl115
1 files changed, 56 insertions, 59 deletions
diff --git a/lib/stdlib/src/sets.erl b/lib/stdlib/src/sets.erl
index ebf011a7d9..167a676281 100644
--- a/lib/stdlib/src/sets.erl
+++ b/lib/stdlib/src/sets.erl
@@ -1,7 +1,7 @@
%%
%% %CopyrightBegin%
%%
-%% Copyright Ericsson AB 2000-2013. All Rights Reserved.
+%% Copyright Ericsson AB 2000-2014. All Rights Reserved.
%%
%% The contents of this file are subject to the Erlang Public License,
%% Version 1.1, (the "License"); you may not use this file except in
@@ -43,6 +43,8 @@
-export([subtract/2,is_subset/2]).
-export([fold/3,filter/2]).
+-export_type([set/0, set/1]).
+
%% Note: mk_seg/1 must be changed too if seg_size is changed.
-define(seg_size, 16).
-define(max_seg, 32).
@@ -53,8 +55,8 @@
%%------------------------------------------------------------------------------
--type seg() :: tuple().
--type segs() :: tuple().
+-type seg() :: tuple().
+-type segs(_Element) :: tuple().
%% Define a hash set. The default values are the standard ones.
-record(set,
@@ -65,14 +67,12 @@
exp_size=?exp_size :: non_neg_integer(), % Size to expand at
con_size=?con_size :: non_neg_integer(), % Size to contract at
empty :: seg(), % Empty segment
- segs :: segs() % Segments
+ segs :: segs(_) % Segments
}).
-%% A declaration equivalent to the following one is hard-coded in erl_types.
-%% That declaration contains hard-coded information about the #set{}
-%% record and the types of its fields. So, please make sure that any
-%% changes to its structure are also propagated to erl_types.erl.
-%%
-%% -opaque set() :: #set{}.
+
+-opaque set() :: set(_).
+
+-opaque set(Element) :: #set{segs :: segs(Element)}.
%%------------------------------------------------------------------------------
@@ -98,24 +98,23 @@ size(S) -> S#set.size.
%% to_list(Set) -> [Elem].
%% Return the elements in Set as a list.
-spec to_list(Set) -> List when
- Set :: set(),
- List :: [term()].
+ Set :: set(Element),
+ List :: [Element].
to_list(S) ->
fold(fun (Elem, List) -> [Elem|List] end, [], S).
%% from_list([Elem]) -> Set.
%% Build a set from the elements in List.
-spec from_list(List) -> Set when
- List :: [term()],
- Set :: set().
+ List :: [Element],
+ Set :: set(Element).
from_list(L) ->
lists:foldl(fun (E, S) -> add_element(E, S) end, new(), L).
%% is_element(Element, Set) -> boolean().
%% Return 'true' if Element is an element of Set, else 'false'.
-spec is_element(Element, Set) -> boolean() when
- Element :: term(),
- Set :: set().
+ Set :: set(Element).
is_element(E, S) ->
Slot = get_slot(S, E),
Bkt = get_bucket(S, Slot),
@@ -124,9 +123,8 @@ is_element(E, S) ->
%% add_element(Element, Set) -> Set.
%% Return Set with Element inserted in it.
-spec add_element(Element, Set1) -> Set2 when
- Element :: term(),
- Set1 :: set(),
- Set2 :: set().
+ Set1 :: set(Element),
+ Set2 :: set(Element).
add_element(E, S0) ->
Slot = get_slot(S0, E),
{S1,Ic} = on_bucket(fun (B0) -> add_bkt_el(E, B0, B0) end, S0, Slot),
@@ -141,9 +139,8 @@ add_bkt_el(E, [], Bkt) -> {[E|Bkt],1}.
%% del_element(Element, Set) -> Set.
%% Return Set but with Element removed.
-spec del_element(Element, Set1) -> Set2 when
- Element :: term(),
- Set1 :: set(),
- Set2 :: set().
+ Set1 :: set(Element),
+ Set2 :: set(Element).
del_element(E, S0) ->
Slot = get_slot(S0, E),
{S1,Dc} = on_bucket(fun (B0) -> del_bkt_el(E, B0) end, S0, Slot),
@@ -159,9 +156,9 @@ del_bkt_el(_, []) -> {[],0}.
%% union(Set1, Set2) -> Set
%% Return the union of Set1 and Set2.
-spec union(Set1, Set2) -> Set3 when
- Set1 :: set(),
- Set2 :: set(),
- Set3 :: set().
+ Set1 :: set(Element),
+ Set2 :: set(Element),
+ Set3 :: set(Element).
union(S1, S2) when S1#set.size < S2#set.size ->
fold(fun (E, S) -> add_element(E, S) end, S2, S1);
union(S1, S2) ->
@@ -170,14 +167,14 @@ union(S1, S2) ->
%% union([Set]) -> Set
%% Return the union of the list of sets.
-spec union(SetList) -> Set when
- SetList :: [set()],
- Set :: set().
+ SetList :: [set(Element)],
+ Set :: set(Element).
union([S1,S2|Ss]) ->
union1(union(S1, S2), Ss);
union([S]) -> S;
union([]) -> new().
--spec union1(set(), [set()]) -> set().
+-spec union1(set(E), [set(E)]) -> set(E).
union1(S1, [S2|Ss]) ->
union1(union(S1, S2), Ss);
union1(S1, []) -> S1.
@@ -185,9 +182,9 @@ union1(S1, []) -> S1.
%% intersection(Set1, Set2) -> Set.
%% Return the intersection of Set1 and Set2.
-spec intersection(Set1, Set2) -> Set3 when
- Set1 :: set(),
- Set2 :: set(),
- Set3 :: set().
+ Set1 :: set(Element),
+ Set2 :: set(Element),
+ Set3 :: set(Element).
intersection(S1, S2) when S1#set.size < S2#set.size ->
filter(fun (E) -> is_element(E, S2) end, S1);
intersection(S1, S2) ->
@@ -196,13 +193,13 @@ intersection(S1, S2) ->
%% intersection([Set]) -> Set.
%% Return the intersection of the list of sets.
-spec intersection(SetList) -> Set when
- SetList :: [set(),...],
- Set :: set().
+ SetList :: [set(Element),...],
+ Set :: set(Element).
intersection([S1,S2|Ss]) ->
intersection1(intersection(S1, S2), Ss);
intersection([S]) -> S.
--spec intersection1(set(), [set()]) -> set().
+-spec intersection1(set(E), [set(E)]) -> set(E).
intersection1(S1, [S2|Ss]) ->
intersection1(intersection(S1, S2), Ss);
intersection1(S1, []) -> S1.
@@ -210,8 +207,8 @@ intersection1(S1, []) -> S1.
%% is_disjoint(Set1, Set2) -> boolean().
%% Check whether Set1 and Set2 are disjoint.
-spec is_disjoint(Set1, Set2) -> boolean() when
- Set1 :: set(),
- Set2 :: set().
+ Set1 :: set(Element),
+ Set2 :: set(Element).
is_disjoint(S1, S2) when S1#set.size < S2#set.size ->
fold(fun (_, false) -> false;
(E, true) -> not is_element(E, S2)
@@ -225,9 +222,9 @@ is_disjoint(S1, S2) ->
%% Return all and only the elements of Set1 which are not also in
%% Set2.
-spec subtract(Set1, Set2) -> Set3 when
- Set1 :: set(),
- Set2 :: set(),
- Set3 :: set().
+ Set1 :: set(Element),
+ Set2 :: set(Element),
+ Set3 :: set(Element).
subtract(S1, S2) ->
filter(fun (E) -> not is_element(E, S2) end, S1).
@@ -235,34 +232,34 @@ subtract(S1, S2) ->
%% Return 'true' when every element of Set1 is also a member of
%% Set2, else 'false'.
-spec is_subset(Set1, Set2) -> boolean() when
- Set1 :: set(),
- Set2 :: set().
+ Set1 :: set(Element),
+ Set2 :: set(Element).
is_subset(S1, S2) ->
fold(fun (E, Sub) -> Sub andalso is_element(E, S2) end, true, S1).
%% fold(Fun, Accumulator, Set) -> Accumulator.
%% Fold function Fun over all elements in Set and return Accumulator.
-spec fold(Function, Acc0, Set) -> Acc1 when
- Function :: fun((E :: term(),AccIn) -> AccOut),
- Set :: set(),
- Acc0 :: T,
- Acc1 :: T,
- AccIn :: T,
- AccOut :: T.
+ Function :: fun((Element, AccIn) -> AccOut),
+ Set :: set(Element),
+ Acc0 :: Acc,
+ Acc1 :: Acc,
+ AccIn :: Acc,
+ AccOut :: Acc.
fold(F, Acc, D) -> fold_set(F, Acc, D).
%% filter(Fun, Set) -> Set.
%% Filter Set with Fun.
-spec filter(Pred, Set1) -> Set2 when
- Pred :: fun((E :: term()) -> boolean()),
- Set1 :: set(),
- Set2 :: set().
+ Pred :: fun((Element) -> boolean()),
+ Set1 :: set(Element),
+ Set2 :: set(Element).
filter(F, D) -> filter_set(F, D).
%% get_slot(Hashdb, Key) -> Slot.
%% Get the slot. First hash on the new range, if we hit a bucket
%% which has not been split use the unsplit buddy bucket.
--spec get_slot(set(), term()) -> non_neg_integer().
+-spec get_slot(set(E), E) -> non_neg_integer().
get_slot(T, Key) ->
H = erlang:phash(Key, T#set.maxn),
if
@@ -276,8 +273,8 @@ get_bucket(T, Slot) -> get_bucket_s(T#set.segs, Slot).
%% on_bucket(Fun, Hashdb, Slot) -> {NewHashDb,Result}.
%% Apply Fun to the bucket in Slot and replace the returned bucket.
--spec on_bucket(fun((_) -> {[_], 0 | 1}), set(), non_neg_integer()) ->
- {set(), 0 | 1}.
+-spec on_bucket(fun((_) -> {[_], 0 | 1}), set(E), non_neg_integer()) ->
+ {set(E), 0 | 1}.
on_bucket(F, T, Slot) ->
SegI = ((Slot-1) div ?seg_size) + 1,
BktI = ((Slot-1) rem ?seg_size) + 1,
@@ -351,7 +348,7 @@ put_bucket_s(Segs, Slot, Bkt) ->
Seg = setelement(BktI, element(SegI, Segs), Bkt),
setelement(SegI, Segs, Seg).
--spec maybe_expand(set(), 0 | 1) -> set().
+-spec maybe_expand(set(E), 0 | 1) -> set(E).
maybe_expand(T0, Ic) when T0#set.size + Ic > T0#set.exp_size ->
T = maybe_expand_segs(T0), %Do we need more segments.
N = T#set.n + 1, %Next slot to expand into
@@ -369,14 +366,14 @@ maybe_expand(T0, Ic) when T0#set.size + Ic > T0#set.exp_size ->
segs = Segs2};
maybe_expand(T, Ic) -> T#set{size = T#set.size + Ic}.
--spec maybe_expand_segs(set()) -> set().
+-spec maybe_expand_segs(set(E)) -> set(E).
maybe_expand_segs(T) when T#set.n =:= T#set.maxn ->
T#set{maxn = 2 * T#set.maxn,
bso = 2 * T#set.bso,
segs = expand_segs(T#set.segs, T#set.empty)};
maybe_expand_segs(T) -> T.
--spec maybe_contract(set(), non_neg_integer()) -> set().
+-spec maybe_contract(set(E), non_neg_integer()) -> set(E).
maybe_contract(T, Dc) when T#set.size - Dc < T#set.con_size,
T#set.n > ?seg_size ->
N = T#set.n,
@@ -395,7 +392,7 @@ maybe_contract(T, Dc) when T#set.size - Dc < T#set.con_size,
segs = Segs2});
maybe_contract(T, Dc) -> T#set{size = T#set.size - Dc}.
--spec maybe_contract_segs(set()) -> set().
+-spec maybe_contract_segs(set(E)) -> set(E).
maybe_contract_segs(T) when T#set.n =:= T#set.bso ->
T#set{maxn = T#set.maxn div 2,
bso = T#set.bso div 2,
@@ -422,7 +419,7 @@ mk_seg(16) -> {[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[]}.
%% of segments. We special case the powers of 2 upto 32, this should
%% catch most case. N.B. the last element in the segments tuple is
%% an extra element containing a default empty segment.
--spec expand_segs(segs(), seg()) -> segs().
+-spec expand_segs(segs(E), seg()) -> segs(E).
expand_segs({B1}, Empty) ->
{B1,Empty};
expand_segs({B1,B2}, Empty) ->
@@ -440,7 +437,7 @@ expand_segs(Segs, Empty) ->
list_to_tuple(tuple_to_list(Segs)
++ lists:duplicate(tuple_size(Segs), Empty)).
--spec contract_segs(segs()) -> segs().
+-spec contract_segs(segs(E)) -> segs(E).
contract_segs({B1,_}) ->
{B1};
contract_segs({B1,B2,_,_}) ->