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authorLukas Larsson <[email protected]>2011-05-18 16:21:34 +0200
committerLukas Larsson <[email protected]>2011-05-18 16:21:34 +0200
commit15426ac367eed736c165a5bdbb1c051a87944f68 (patch)
treefcabce7847168a8416600fe35f94a411a5f73d6e /lib/stdlib/src/digraph.erl
parent4cd0717b717803ce8f03a12de4bf89f452ed1df7 (diff)
parentf44bbb331fb517e989d4d906b7f63ec110bbbc18 (diff)
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Merge branch 'dev' of super:otp into dev
* 'dev' of super:otp: (166 commits) Corrected documentation error and added examples to Users Guide In TLS 1.1, failure to properly close a connection no longer requires that a session not be resumed. This is a change from TLS 1.0 to conform with widespread implementation practice. Erlang ssl will now in TLS 1.0 conform to the widespread implementation practice instead of the specification to avoid performance issues. Add escript to bootstrap/bin Remove unused variable warning in inet_res Remove unused variable in epmd_port Remove compiler warnings in inet_drv Add SASL test suite Allow same module name in multiple applications if explicitely excluded Fix bugs concerning the option report_missing_types Fix default encoding in SAX parser. re: remove gratuitous "it " in manpage Spelling in (backward *compatibility*) comment. Improve erl_docgen's support for Dialyzer specs and types dialyzer warning on mnesia_tm Add documentation text about majority checking add mnesia_majority_test suite where_to_wlock optimization + change_table_majority/2 bug in mnesia_tm:needs_majority/2 optimize sticky_lock maj. check check majority for sticky locks ...
Diffstat (limited to 'lib/stdlib/src/digraph.erl')
-rw-r--r--lib/stdlib/src/digraph.erl159
1 files changed, 119 insertions, 40 deletions
diff --git a/lib/stdlib/src/digraph.erl b/lib/stdlib/src/digraph.erl
index 5edc868a94..e3f87d2c57 100644
--- a/lib/stdlib/src/digraph.erl
+++ b/lib/stdlib/src/digraph.erl
@@ -1,7 +1,7 @@
%%
%% %CopyrightBegin%
%%
-%% Copyright Ericsson AB 1996-2010. All Rights Reserved.
+%% Copyright Ericsson AB 1996-2011. 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
@@ -53,7 +53,8 @@
-type label() :: term().
-type vertex() :: term().
--type add_edge_err_rsn() :: {'bad_edge', [vertex()]} | {'bad_vertex', vertex()}.
+-type add_edge_err_rsn() :: {'bad_edge', Path :: [vertex()]}
+ | {'bad_vertex', V :: vertex()}.
%%
%% Type is a list of
@@ -70,7 +71,8 @@
new() -> new([]).
--spec new([d_type()]) -> digraph().
+-spec new(Type) -> digraph() when
+ Type :: [d_type()].
new(Type) ->
case check_type(Type, protected, []) of
@@ -113,16 +115,20 @@ set_type([], G) -> G.
%% Data access functions
--spec delete(digraph()) -> 'true'.
+-spec delete(G) -> 'true' when
+ G :: digraph().
delete(G) ->
ets:delete(G#digraph.vtab),
ets:delete(G#digraph.etab),
ets:delete(G#digraph.ntab).
--spec info(digraph()) -> [{'cyclicity', d_cyclicity()} |
- {'memory', non_neg_integer()} |
- {'protection', d_protection()}].
+-spec info(G) -> InfoList when
+ G :: digraph(),
+ InfoList :: [{'cyclicity', Cyclicity :: d_cyclicity()} |
+ {'memory', NoWords :: non_neg_integer()} |
+ {'protection', Protection :: d_protection()}].
+
info(G) ->
VT = G#digraph.vtab,
ET = G#digraph.etab,
@@ -135,32 +141,45 @@ info(G) ->
Memory = ets:info(VT, memory) + ets:info(ET, memory) + ets:info(NT, memory),
[{cyclicity, Cyclicity}, {memory, Memory}, {protection, Protection}].
--spec add_vertex(digraph()) -> vertex().
+-spec add_vertex(G) -> vertex() when
+ G :: digraph().
add_vertex(G) ->
do_add_vertex({new_vertex_id(G), []}, G).
--spec add_vertex(digraph(), vertex()) -> vertex().
+-spec add_vertex(G, V) -> vertex() when
+ G :: digraph(),
+ V :: vertex().
add_vertex(G, V) ->
do_add_vertex({V, []}, G).
--spec add_vertex(digraph(), vertex(), label()) -> vertex().
+-spec add_vertex(G, V, Label) -> vertex() when
+ G :: digraph(),
+ V :: vertex(),
+ Label :: label().
add_vertex(G, V, D) ->
do_add_vertex({V, D}, G).
--spec del_vertex(digraph(), vertex()) -> 'true'.
+-spec del_vertex(G, V) -> 'true' when
+ G :: digraph(),
+ V :: vertex().
del_vertex(G, V) ->
do_del_vertex(V, G).
--spec del_vertices(digraph(), [vertex()]) -> 'true'.
+-spec del_vertices(G, Vertices) -> 'true' when
+ G :: digraph(),
+ Vertices :: [vertex()].
del_vertices(G, Vs) ->
do_del_vertices(Vs, G).
--spec vertex(digraph(), vertex()) -> {vertex(), label()} | 'false'.
+-spec vertex(G, V) -> {V, Label} | 'false' when
+ G :: digraph(),
+ V :: vertex(),
+ Label :: label().
vertex(G, V) ->
case ets:lookup(G#digraph.vtab, V) of
@@ -168,12 +187,15 @@ vertex(G, V) ->
[Vertex] -> Vertex
end.
--spec no_vertices(digraph()) -> non_neg_integer().
+-spec no_vertices(G) -> non_neg_integer() when
+ G :: digraph().
no_vertices(G) ->
ets:info(G#digraph.vtab, size).
--spec vertices(digraph()) -> [vertex()].
+-spec vertices(G) -> Vertices when
+ G :: digraph(),
+ Vertices :: [vertex()].
vertices(G) ->
ets:select(G#digraph.vtab, [{{'$1', '_'}, [], ['$1']}]).
@@ -188,85 +210,125 @@ source_vertices(G) ->
sink_vertices(G) ->
collect_vertices(G, out).
--spec in_degree(digraph(), vertex()) -> non_neg_integer().
+-spec in_degree(G, V) -> non_neg_integer() when
+ G :: digraph(),
+ V :: vertex().
in_degree(G, V) ->
length(ets:lookup(G#digraph.ntab, {in, V})).
--spec in_neighbours(digraph(), vertex()) -> [vertex()].
+-spec in_neighbours(G, V) -> Vertex when
+ G :: digraph(),
+ V :: vertex(),
+ Vertex :: [vertex()].
in_neighbours(G, V) ->
ET = G#digraph.etab,
NT = G#digraph.ntab,
collect_elems(ets:lookup(NT, {in, V}), ET, 2).
--spec in_edges(digraph(), vertex()) -> [edge()].
+-spec in_edges(G, V) -> Edges when
+ G :: digraph(),
+ V :: vertex(),
+ Edges :: [edge()].
in_edges(G, V) ->
ets:select(G#digraph.ntab, [{{{in, V}, '$1'}, [], ['$1']}]).
--spec out_degree(digraph(), vertex()) -> non_neg_integer().
+-spec out_degree(G, V) -> non_neg_integer() when
+ G :: digraph(),
+ V :: vertex().
out_degree(G, V) ->
length(ets:lookup(G#digraph.ntab, {out, V})).
--spec out_neighbours(digraph(), vertex()) -> [vertex()].
+-spec out_neighbours(G, V) -> Vertices when
+ G :: digraph(),
+ V :: vertex(),
+ Vertices :: [vertex()].
out_neighbours(G, V) ->
ET = G#digraph.etab,
NT = G#digraph.ntab,
collect_elems(ets:lookup(NT, {out, V}), ET, 3).
--spec out_edges(digraph(), vertex()) -> [edge()].
+-spec out_edges(G, V) -> Edges when
+ G :: digraph(),
+ V :: vertex(),
+ Edges :: [edge()].
out_edges(G, V) ->
ets:select(G#digraph.ntab, [{{{out, V}, '$1'}, [], ['$1']}]).
--spec add_edge(digraph(), vertex(), vertex()) ->
- edge() | {'error', add_edge_err_rsn()}.
+-spec add_edge(G, V1, V2) -> edge() | {'error', add_edge_err_rsn()} when
+ G :: digraph(),
+ V1 :: vertex(),
+ V2 :: vertex().
add_edge(G, V1, V2) ->
do_add_edge({new_edge_id(G), V1, V2, []}, G).
--spec add_edge(digraph(), vertex(), vertex(), label()) ->
- edge() | {'error', add_edge_err_rsn()}.
+-spec add_edge(G, V1, V2, Label) -> edge() | {'error', add_edge_err_rsn()} when
+ G :: digraph(),
+ V1 :: vertex(),
+ V2 :: vertex(),
+ Label :: label().
add_edge(G, V1, V2, D) ->
do_add_edge({new_edge_id(G), V1, V2, D}, G).
--spec add_edge(digraph(), edge(), vertex(), vertex(), label()) ->
- edge() | {'error', add_edge_err_rsn()}.
+-spec add_edge(G, E, V1, V2, Label) -> edge() | {'error', add_edge_err_rsn()} when
+ G :: digraph(),
+ E :: edge(),
+ V1 :: vertex(),
+ V2 :: vertex(),
+ Label :: label().
add_edge(G, E, V1, V2, D) ->
do_add_edge({E, V1, V2, D}, G).
--spec del_edge(digraph(), edge()) -> 'true'.
+-spec del_edge(G, E) -> 'true' when
+ G :: digraph(),
+ E :: edge().
del_edge(G, E) ->
do_del_edges([E], G).
--spec del_edges(digraph(), [edge()]) -> 'true'.
+-spec del_edges(G, Edges) -> 'true' when
+ G :: digraph(),
+ Edges :: [edge()].
del_edges(G, Es) ->
do_del_edges(Es, G).
--spec no_edges(digraph()) -> non_neg_integer().
+-spec no_edges(G) -> non_neg_integer() when
+ G :: digraph().
no_edges(G) ->
ets:info(G#digraph.etab, size).
--spec edges(digraph()) -> [edge()].
+-spec edges(G) -> Edges when
+ G :: digraph(),
+ Edges :: [edge()].
edges(G) ->
ets:select(G#digraph.etab, [{{'$1', '_', '_', '_'}, [], ['$1']}]).
--spec edges(digraph(), vertex()) -> [edge()].
+-spec edges(G, V) -> Edges when
+ G :: digraph(),
+ V :: vertex(),
+ Edges :: [edge()].
edges(G, V) ->
ets:select(G#digraph.ntab, [{{{out, V},'$1'}, [], ['$1']},
{{{in, V}, '$1'}, [], ['$1']}]).
--spec edge(digraph(), edge()) -> {edge(),vertex(),vertex(),label()} | 'false'.
+-spec edge(G, E) -> {E, V1, V2, Label} | 'false' when
+ G :: digraph(),
+ E :: edge(),
+ V1 :: vertex(),
+ V2 :: vertex(),
+ Label :: label().
edge(G, E) ->
case ets:lookup(G#digraph.etab,E) of
@@ -277,7 +339,7 @@ edge(G, E) ->
%%
%% Generate a "unique" edge identifier (relative to this graph)
%%
--spec new_edge_id(digraph()) -> nonempty_improper_list('$e', non_neg_integer()).
+-spec new_edge_id(digraph()) -> edge().
new_edge_id(G) ->
NT = G#digraph.ntab,
@@ -289,7 +351,7 @@ new_edge_id(G) ->
%%
%% Generate a "unique" vertex identifier (relative to this graph)
%%
--spec new_vertex_id(digraph()) -> nonempty_improper_list('$v', non_neg_integer()).
+-spec new_vertex_id(digraph()) -> vertex().
new_vertex_id(G) ->
NT = G#digraph.ntab,
@@ -444,7 +506,10 @@ acyclic_add_edge(E, V1, V2, Label, G) ->
%% Delete all paths from vertex V1 to vertex V2
%%
--spec del_path(digraph(), vertex(), vertex()) -> 'true'.
+-spec del_path(G, V1, V2) -> 'true' when
+ G :: digraph(),
+ V1 :: vertex(),
+ V2 :: vertex().
del_path(G, V1, V2) ->
case get_path(G, V1, V2) of
@@ -463,7 +528,10 @@ del_path(G, V1, V2) ->
%% been searched.
%%
--spec get_cycle(digraph(), vertex()) -> [vertex(),...] | 'false'.
+-spec get_cycle(G, V) -> Vertices | 'false' when
+ G :: digraph(),
+ V :: vertex(),
+ Vertices :: [vertex(),...].
get_cycle(G, V) ->
case one_path(out_neighbours(G, V), V, [], [V], [V], 2, G, 1) of
@@ -481,7 +549,11 @@ get_cycle(G, V) ->
%% if no path exists false is returned
%%
--spec get_path(digraph(), vertex(), vertex()) -> [vertex(),...] | 'false'.
+-spec get_path(G, V1, V2) -> Vertices | 'false' when
+ G :: digraph(),
+ V1 :: vertex(),
+ V2 :: vertex(),
+ Vertices :: [vertex(),...].
get_path(G, V1, V2) ->
one_path(out_neighbours(G, V1), V2, [], [V1], [V1], 1, G, 1).
@@ -516,7 +588,10 @@ one_path([], _, [], _, _, _, _, _Counter) -> false.
%% Like get_cycle/2, but a cycle of length one is preferred.
%%
--spec get_short_cycle(digraph(), vertex()) -> [vertex(),...] | 'false'.
+-spec get_short_cycle(G, V) -> Vertices | 'false' when
+ G :: digraph(),
+ V :: vertex(),
+ Vertices :: [vertex(),...].
get_short_cycle(G, V) ->
get_short_path(G, V, V).
@@ -526,7 +601,11 @@ get_short_cycle(G, V) ->
%% to find a short path.
%%
--spec get_short_path(digraph(), vertex(), vertex()) -> [vertex(),...] | 'false'.
+-spec get_short_path(G, V1, V2) -> Vertices | 'false' when
+ G :: digraph(),
+ V1 :: vertex(),
+ V2 :: vertex(),
+ Vertices :: [vertex(),...].
get_short_path(G, V1, V2) ->
T = new(),