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Diffstat (limited to 'lib/hipe/util/hipe_dsets.erl')
-rw-r--r-- | lib/hipe/util/hipe_dsets.erl | 84 |
1 files changed, 84 insertions, 0 deletions
diff --git a/lib/hipe/util/hipe_dsets.erl b/lib/hipe/util/hipe_dsets.erl new file mode 100644 index 0000000000..9492cab0ff --- /dev/null +++ b/lib/hipe/util/hipe_dsets.erl @@ -0,0 +1,84 @@ +%% -*- erlang-indent-level: 2 -*- +%% +%% Licensed under the Apache License, Version 2.0 (the "License"); +%% you may not use this file except in compliance with the License. +%% You may obtain a copy of the License at +%% +%% http://www.apache.org/licenses/LICENSE-2.0 +%% +%% Unless required by applicable law or agreed to in writing, software +%% distributed under the License is distributed on an "AS IS" BASIS, +%% WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +%% See the License for the specific language governing permissions and +%% limitations under the License. +%% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%%@doc +%% IMMUTABLE DISJOINT SETS OF ARBITRARY TERMS +%% +%% The disjoint set forests data structure, for elements of arbitrary types. +%% Note that the find operation mutates the set. +%% +%% We could do this more efficiently if we restricted the elements to integers, +%% and used the (mutable) hipe arrays. For arbitrary terms ETS could be used, +%% for a persistent interface (which isn't that nice when even accessors return +%% modified copies), the array module could be used. +-module(hipe_dsets). + +-export([new/1, find/2, union/3, to_map/1, to_rllist/1]). +-export_type([dsets/1]). + +-opaque dsets(X) :: #{X => {node, X} | {root, non_neg_integer()}}. + +-spec new([E]) -> dsets(E). +new(Elems) -> maps:from_list([{E,{root,0}} || E <- Elems]). + +-spec find(E, dsets(E)) -> {E, dsets(E)}. +find(E, DS0) -> + case DS0 of + #{E := {root,_}} -> {E, DS0}; + #{E := {node,N}} -> + case find(N, DS0) of + {N, _}=T -> T; + {R, DS1} -> {R, DS1#{E := {node,R}}} + end; + _ -> error(badarg, [E, DS0]) + end. + +-spec union(E, E, dsets(E)) -> dsets(E). +union(X, Y, DS0) -> + {XRoot, DS1} = find(X, DS0), + case find(Y, DS1) of + {XRoot, DS2} -> DS2; + {YRoot, DS2} -> + #{XRoot := {root,XRR}, YRoot := {root,YRR}} = DS2, + if XRR < YRR -> DS2#{XRoot := {node,YRoot}}; + XRR > YRR -> DS2#{YRoot := {node,XRoot}}; + true -> DS2#{YRoot := {node,XRoot}, XRoot := {root,XRR+1}} + end + end. + +-spec to_map(dsets(E)) -> {#{Elem::E => Root::E}, dsets(E)}. +to_map(DS) -> + to_map(maps:keys(DS), DS, #{}). + +to_map([], DS, Acc) -> {Acc, DS}; +to_map([K|Ks], DS0, Acc) -> + {KR, DS} = find(K, DS0), + to_map(Ks, DS, Acc#{K => KR}). + +-spec to_rllist(dsets(E)) -> {[{Root::E, Elems::[E]}], dsets(E)}. +to_rllist(DS0) -> + {Lists, DS} = to_rllist(maps:keys(DS0), #{}, DS0), + {maps:to_list(Lists), DS}. + +to_rllist([], Acc, DS) -> {Acc, DS}; +to_rllist([E|Es], Acc, DS0) -> + {ERoot, DS} = find(E, DS0), + to_rllist(Es, map_append(ERoot, E, Acc), DS). + +map_append(Key, Elem, Map) -> + case Map of + #{Key := List} -> Map#{Key := [Elem|List]}; + #{} -> Map#{Key => [Elem]} + end. |