diff options
Diffstat (limited to 'lib/stdlib')
-rw-r--r-- | lib/stdlib/doc/src/rand.xml | 61 | ||||
-rw-r--r-- | lib/stdlib/src/rand.erl | 88 | ||||
-rw-r--r-- | lib/stdlib/test/rand_SUITE.erl | 33 |
3 files changed, 124 insertions, 58 deletions
diff --git a/lib/stdlib/doc/src/rand.xml b/lib/stdlib/doc/src/rand.xml index 8745e16908..2ddf3021ac 100644 --- a/lib/stdlib/doc/src/rand.xml +++ b/lib/stdlib/doc/src/rand.xml @@ -120,27 +120,50 @@ S0 = rand:seed_s(exsplus), {SND0, S2} = rand:normal_s(S1),</pre> <note> - <p>This random number generator is not cryptographically - strong. If a strong cryptographic random number generator is - needed, use one of functions in the - <seealso marker="crypto:crypto"><c>crypto</c></seealso> - module, for example, <seealso marker="crypto:crypto"> - <c>crypto:strong_rand_bytes/1</c></seealso>.</p> + <p>The builtin random number generator algorithms are not + cryptographically strong. If a cryptographically strong + random number generator is needed, use something like + <seealso marker="crypto:crypto#rand_seed-0"><c>crypto:rand_seed/0</c></seealso>. + </p> </note> </description> <datatypes> <datatype> + <name name="builtin_alg"/> + </datatype> + <datatype> <name name="alg"/> </datatype> <datatype> + <name name="alg_handler"/> + </datatype> + <datatype> + <name name="alg_state"/> + </datatype> + <datatype> + <name name="exs64_state"/> + <desc><p>Algorithm specific internal state</p></desc> + </datatype> + <datatype> + <name name="exsplus_state"/> + <desc><p>Algorithm specific internal state</p></desc> + </datatype> + <datatype> + <name name="exs1024_state"/> + <desc><p>Algorithm specific internal state</p></desc> + </datatype> + <datatype> <name name="state"/> <desc><p>Algorithm-dependent state.</p></desc> </datatype> <datatype> <name name="export_state"/> - <desc><p>Algorithm-dependent state that can be printed or saved to - file.</p></desc> + <desc> + <p> + Algorithm-dependent state that can be printed or saved to file. + </p> + </desc> </datatype> </datatypes> @@ -215,8 +238,11 @@ S0 = rand:seed_s(exsplus), <fsummary>Seed random number generator.</fsummary> <desc> <marker id="seed-1"/> - <p>Seeds random number generation with the specifed algorithm and - time-dependent data if <anno>AlgOrExpState</anno> is an algorithm.</p> + <p> + Seeds random number generation with the specifed algorithm and + time-dependent data if <c><anno>AlgOrStateOrExpState</anno></c> + is an algorithm. + </p> <p>Otherwise recreates the exported seed in the process dictionary, and returns the state. See also <seealso marker="#export_seed-0"><c>export_seed/0</c></seealso>.</p> @@ -236,8 +262,11 @@ S0 = rand:seed_s(exsplus), <name name="seed_s" arity="1"/> <fsummary>Seed random number generator.</fsummary> <desc> - <p>Seeds random number generation with the specifed algorithm and - time-dependent data if <anno>AlgOrExpState</anno> is an algorithm.</p> + <p> + Seeds random number generation with the specifed algorithm and + time-dependent data if <c><anno>AlgOrStateOrExpState</anno></c> + is an algorithm. + </p> <p>Otherwise recreates the exported seed and returns the state. See also <seealso marker="#export_seed-0"> <c>export_seed/0</c></seealso>.</p> @@ -258,7 +287,7 @@ S0 = rand:seed_s(exsplus), <fsummary>Return a random float.</fsummary> <desc><marker id="uniform-0"/> <p>Returns a random float uniformly distributed in the value - range <c>0.0 < <anno>X</anno> < 1.0</c> and + range <c>0.0 =< <anno>X</anno> < 1.0</c> and updates the state in the process dictionary.</p> </desc> </func> @@ -269,7 +298,7 @@ S0 = rand:seed_s(exsplus), <desc><marker id="uniform-1"/> <p>Returns, for a specified integer <c><anno>N</anno> >= 1</c>, a random integer uniformly distributed in the value range - <c>1 <= <anno>X</anno> <= <anno>N</anno></c> and + <c>1 =< <anno>X</anno> =< <anno>N</anno></c> and updates the state in the process dictionary.</p> </desc> </func> @@ -279,7 +308,7 @@ S0 = rand:seed_s(exsplus), <fsummary>Return a random float.</fsummary> <desc> <p>Returns, for a specified state, random float - uniformly distributed in the value range <c>0.0 < + uniformly distributed in the value range <c>0.0 =< <anno>X</anno> < 1.0</c> and a new state.</p> </desc> </func> @@ -290,7 +319,7 @@ S0 = rand:seed_s(exsplus), <desc> <p>Returns, for a specified integer <c><anno>N</anno> >= 1</c> and a state, a random integer uniformly distributed in the value - range <c>1 <= <anno>X</anno> <= <anno>N</anno></c> and a + range <c>1 =< <anno>X</anno> =< <anno>N</anno></c> and a new state.</p> </desc> </func> diff --git a/lib/stdlib/src/rand.erl b/lib/stdlib/src/rand.erl index 1f457b9e0e..dfd102f9ef 100644 --- a/lib/stdlib/src/rand.erl +++ b/lib/stdlib/src/rand.erl @@ -45,20 +45,31 @@ %% ===================================================================== %% This depends on the algorithm handler function --type alg_seed() :: exs64_state() | exsplus_state() | exs1024_state(). +-type alg_state() :: + exs64_state() | exsplus_state() | exs1024_state() | term(). + %% This is the algorithm handler function within this module --type alg_handler() :: #{type := alg(), - max := integer(), - next := fun(), - uniform := fun(), - uniform_n := fun(), - jump := fun()}. - -%% Internal state --opaque state() :: {alg_handler(), alg_seed()}. --type alg() :: exs64 | exsplus | exs1024. --opaque export_state() :: {alg(), alg_seed()}. --export_type([alg/0, state/0, export_state/0]). +-type alg_handler() :: + #{type := alg(), + max := integer() | infinity, + next := + fun((alg_state()) -> {non_neg_integer(), alg_state()}), + uniform := + fun((state()) -> {float(), state()}), + uniform_n := + fun((pos_integer(), state()) -> {pos_integer(), state()}), + jump := + fun((state()) -> state())}. + +%% Algorithm state +-type state() :: {alg_handler(), alg_state()}. +-type builtin_alg() :: exs64 | exsplus | exs1024. +-type alg() :: builtin_alg() | atom(). +-type export_state() :: {alg(), alg_state()}. +-export_type( + [builtin_alg/0, alg/0, alg_handler/0, alg_state/0, + state/0, export_state/0]). +-export_type([exs64_state/0, exsplus_state/0, exs1024_state/0]). %% ===================================================================== %% API @@ -72,7 +83,7 @@ export_seed() -> _ -> undefined end. --spec export_seed_s(state()) -> export_state(). +-spec export_seed_s(State :: state()) -> export_state(). export_seed_s({#{type:=Alg}, Seed}) -> {Alg, Seed}. %% seed(Alg) seeds RNG with runtime dependent values @@ -81,27 +92,37 @@ export_seed_s({#{type:=Alg}, Seed}) -> {Alg, Seed}. %% seed({Alg,Seed}) setup RNG with a previously exported seed %% and return the NEW state --spec seed(AlgOrExpState::alg() | export_state()) -> state(). +-spec seed( + AlgOrStateOrExpState :: builtin_alg() | state() | export_state()) -> + state(). seed(Alg) -> seed_put(seed_s(Alg)). --spec seed_s(AlgOrExpState::alg() | export_state()) -> state(). -seed_s(Alg) when is_atom(Alg) -> - seed_s(Alg, {erlang:phash2([{node(),self()}]), - erlang:system_time(), - erlang:unique_integer()}); +-spec seed_s( + AlgOrStateOrExpState :: builtin_alg() | state() | export_state()) -> + state(). +seed_s({AlgHandler, _Seed} = State) when is_map(AlgHandler) -> + State; seed_s({Alg0, Seed}) -> {Alg,_SeedFun} = mk_alg(Alg0), - {Alg, Seed}. + {Alg, Seed}; +seed_s(Alg) -> + seed_s(Alg, {erlang:phash2([{node(),self()}]), + erlang:system_time(), + erlang:unique_integer()}). %% seed/2: seeds RNG with the algorithm and given values %% and returns the NEW state. --spec seed(Alg :: alg(), {integer(), integer(), integer()}) -> state(). +-spec seed( + Alg :: builtin_alg(), Seed :: {integer(), integer(), integer()}) -> + state(). seed(Alg0, S0) -> seed_put(seed_s(Alg0, S0)). --spec seed_s(Alg :: alg(), {integer(), integer(), integer()}) -> state(). +-spec seed_s( + Alg :: builtin_alg(), Seed :: {integer(), integer(), integer()}) -> + state(). seed_s(Alg0, S0 = {_, _, _}) -> {Alg, Seed} = mk_alg(Alg0), AS = Seed(S0), @@ -113,7 +134,7 @@ seed_s(Alg0, S0 = {_, _, _}) -> %% uniform/0: returns a random float X where 0.0 < X < 1.0, %% updating the state in the process dictionary. --spec uniform() -> X::float(). +-spec uniform() -> X :: float(). uniform() -> {X, Seed} = uniform_s(seed_get()), _ = seed_put(Seed), @@ -123,7 +144,7 @@ uniform() -> %% uniform/1 returns a random integer X where 1 =< X =< N, %% updating the state in the process dictionary. --spec uniform(N :: pos_integer()) -> X::pos_integer(). +-spec uniform(N :: pos_integer()) -> X :: pos_integer(). uniform(N) -> {X, Seed} = uniform_s(N, seed_get()), _ = seed_put(Seed), @@ -133,7 +154,7 @@ uniform(N) -> %% returns a random float X where 0.0 < X < 1.0, %% and a new state. --spec uniform_s(state()) -> {X::float(), NewS :: state()}. +-spec uniform_s(State :: state()) -> {X :: float(), NewState :: state()}. uniform_s(State = {#{uniform:=Uniform}, _}) -> Uniform(State). @@ -141,7 +162,8 @@ uniform_s(State = {#{uniform:=Uniform}, _}) -> %% uniform_s/2 returns a random integer X where 1 =< X =< N, %% and a new state. --spec uniform_s(N::pos_integer(), state()) -> {X::pos_integer(), NewS::state()}. +-spec uniform_s(N :: pos_integer(), State :: state()) -> + {X :: pos_integer(), NewState :: state()}. uniform_s(N, State = {#{uniform_n:=Uniform, max:=Max}, _}) when 0 < N, N =< Max -> Uniform(N, State); @@ -155,7 +177,7 @@ uniform_s(N, State0 = {#{uniform:=Uniform}, _}) %% after a large number of call defined for each algorithm. %% The large number is algorithm dependent. --spec jump(state()) -> NewS :: state(). +-spec jump(state()) -> NewState :: state(). jump(State = {#{jump:=Jump}, _}) -> Jump(State). @@ -164,7 +186,7 @@ jump(State = {#{jump:=Jump}, _}) -> %% and write back the new value to the internal state, %% then returns the new value. --spec jump() -> NewS :: state(). +-spec jump() -> NewState :: state(). jump() -> seed_put(jump(seed_get())). @@ -182,7 +204,7 @@ normal() -> %% The Ziggurat Method for generating random variables - Marsaglia and Tsang %% Paper and reference code: http://www.jstatsoft.org/v05/i08/ --spec normal_s(state()) -> {float(), NewS :: state()}. +-spec normal_s(State :: state()) -> {float(), NewState :: state()}. normal_s(State0) -> {Sign, R, State} = get_52(State0), Idx = R band 16#FF, @@ -245,7 +267,7 @@ mk_alg(exs1024) -> %% Reference URL: http://xorshift.di.unimi.it/ %% ===================================================================== --type exs64_state() :: uint64(). +-opaque exs64_state() :: uint64(). exs64_seed({A1, A2, A3}) -> {V1, _} = exs64_next(((A1 band ?UINT32MASK) * 4294967197 + 1)), @@ -280,7 +302,7 @@ exs64_jump(_) -> %% Modification of the original Xorshift128+ algorithm to 116 %% by Sebastiano Vigna, a lot of thanks for his help and work. %% ===================================================================== --type exsplus_state() :: nonempty_improper_list(uint58(), uint58()). +-opaque exsplus_state() :: nonempty_improper_list(uint58(), uint58()). -dialyzer({no_improper_lists, exsplus_seed/1}). @@ -349,7 +371,7 @@ exsplus_jump(S, [AS0|AS1], J, N) -> %% Reference URL: http://xorshift.di.unimi.it/ %% ===================================================================== --type exs1024_state() :: {list(uint64()), list(uint64())}. +-opaque exs1024_state() :: {list(uint64()), list(uint64())}. exs1024_seed({A1, A2, A3}) -> B1 = (((A1 band ?UINT21MASK) + 1) * 2097131) band ?UINT21MASK, diff --git a/lib/stdlib/test/rand_SUITE.erl b/lib/stdlib/test/rand_SUITE.erl index fe5eaccda5..098eefeb61 100644 --- a/lib/stdlib/test/rand_SUITE.erl +++ b/lib/stdlib/test/rand_SUITE.erl @@ -356,14 +356,23 @@ basic_normal_1(0, {#{type:=Alg}, _}, Sum, SumSq) -> %% Test that the user can write algorithms. plugin(Config) when is_list(Config) -> - _ = lists:foldl(fun(_, S0) -> - {V1, S1} = rand:uniform_s(10000, S0), - true = is_integer(V1), - {V2, S2} = rand:uniform_s(S1), - true = is_float(V2), - S2 - end, crypto_seed(), lists:seq(1, 200)), - ok. + try crypto:strong_rand_bytes(1) of + <<_>> -> + _ = lists:foldl( + fun(_, S0) -> + {V1, S1} = rand:uniform_s(10000, S0), + true = is_integer(V1), + {V2, S2} = rand:uniform_s(S1), + true = is_float(V2), + S2 + end, crypto_seed(), lists:seq(1, 200)), + ok + catch + error:low_entropy -> + {skip,low_entropy}; + error:undef -> + {skip,no_crypto} + end. %% Test implementation crypto_seed() -> @@ -397,7 +406,13 @@ crypto_uniform_n(N, State0) -> measure(Suite) when is_atom(Suite) -> []; measure(_Config) -> ct:timetrap({minutes,15}), %% valgrind needs a lot of time - Algos = [crypto64|algs()], + Algos = + try crypto:strong_rand_bytes(1) of + <<_>> -> [crypto64] + catch + error:low_entropy -> []; + error:undef -> [] + end ++ algs(), io:format("RNG uniform integer performance~n",[]), _ = measure_1(random, fun(State) -> {int, random:uniform_s(10000, State)} end), _ = [measure_1(Algo, fun(State) -> {int, rand:uniform_s(10000, State)} end) || Algo <- Algos], |