diff options
Diffstat (limited to 'lib/stdlib/src')
-rw-r--r-- | lib/stdlib/src/Makefile | 1 | ||||
-rw-r--r-- | lib/stdlib/src/c.erl | 23 | ||||
-rw-r--r-- | lib/stdlib/src/digraph.erl | 2 | ||||
-rw-r--r-- | lib/stdlib/src/filename.erl | 2 | ||||
-rw-r--r-- | lib/stdlib/src/gb_sets.erl | 24 | ||||
-rw-r--r-- | lib/stdlib/src/gb_trees.erl | 31 | ||||
-rw-r--r-- | lib/stdlib/src/maps.erl | 21 | ||||
-rw-r--r-- | lib/stdlib/src/otp_internal.erl | 3 | ||||
-rw-r--r-- | lib/stdlib/src/rand.erl | 591 | ||||
-rw-r--r-- | lib/stdlib/src/shell_default.erl | 3 | ||||
-rw-r--r-- | lib/stdlib/src/stdlib.app.src | 1 |
11 files changed, 689 insertions, 13 deletions
diff --git a/lib/stdlib/src/Makefile b/lib/stdlib/src/Makefile index 85b858febd..55bda60da5 100644 --- a/lib/stdlib/src/Makefile +++ b/lib/stdlib/src/Makefile @@ -105,6 +105,7 @@ MODULES= \ qlc \ qlc_pt \ queue \ + rand \ random \ sets \ shell \ diff --git a/lib/stdlib/src/c.erl b/lib/stdlib/src/c.erl index 9860adf04d..d5b24d3c32 100644 --- a/lib/stdlib/src/c.erl +++ b/lib/stdlib/src/c.erl @@ -27,7 +27,7 @@ lc_batch/0, lc_batch/1, i/3,pid/3,m/0,m/1, bt/1, q/0, - erlangrc/0,erlangrc/1,bi/1, flush/0, regs/0, + erlangrc/0,erlangrc/1,bi/1, flush/0, regs/0, uptime/0, nregs/0,pwd/0,ls/0,ls/1,cd/1,memory/1,memory/0, xm/1]). -export([display_info/1]). @@ -65,6 +65,7 @@ help() -> "q() -- quit - shorthand for init:stop()\n" "regs() -- information about registered processes\n" "nregs() -- information about all registered processes\n" + "uptime() -- print node uptime\n" "xm(M) -- cross reference check a module\n" "y(File) -- generate a Yecc parser\n">>). @@ -774,6 +775,26 @@ memory() -> erlang:memory(). memory(TypeSpec) -> erlang:memory(TypeSpec). %% +%% uptime/0 +%% + +-spec uptime() -> 'ok'. + +uptime() -> + io:format("~s~n", [uptime(get_uptime())]). + +uptime({D, {H, M, S}}) -> + lists:flatten( + [[ io_lib:format("~p days, ", [D]) || D > 0 ], + [ io_lib:format("~p hours, ", [H]) || D+H > 0 ], + [ io_lib:format("~p minutes and ", [M]) || D+H+M > 0 ], + io_lib:format("~p seconds", [S])]). + +get_uptime() -> + {UpTime, _} = erlang:statistics(wall_clock), + calendar:seconds_to_daystime(UpTime div 1000). + +%% %% Cross Reference Check %% %%-spec xm(module() | file:filename()) -> xref:m/1 return diff --git a/lib/stdlib/src/digraph.erl b/lib/stdlib/src/digraph.erl index 0c21271529..1f8caa88a4 100644 --- a/lib/stdlib/src/digraph.erl +++ b/lib/stdlib/src/digraph.erl @@ -36,7 +36,7 @@ -export([get_short_path/3, get_short_cycle/2]). --export_type([graph/0, d_type/0, vertex/0, edge/0]). +-export_type([graph/0, d_type/0, vertex/0, edge/0, label/0]). -record(digraph, {vtab = notable :: ets:tab(), etab = notable :: ets:tab(), diff --git a/lib/stdlib/src/filename.erl b/lib/stdlib/src/filename.erl index 632af17e2a..68bd4f71cc 100644 --- a/lib/stdlib/src/filename.erl +++ b/lib/stdlib/src/filename.erl @@ -648,7 +648,7 @@ split(Name0) -> unix_splitb(Name) -> L = binary:split(Name,[<<"/">>],[global]), LL = case L of - [<<>>|Rest] -> + [<<>>|Rest] when Rest =/= [] -> [<<"/">>|Rest]; _ -> L diff --git a/lib/stdlib/src/gb_sets.erl b/lib/stdlib/src/gb_sets.erl index 393fb07229..d3fbd542f7 100644 --- a/lib/stdlib/src/gb_sets.erl +++ b/lib/stdlib/src/gb_sets.erl @@ -137,6 +137,10 @@ %% approach is that it does not require the complete list of all %% elements to be built in memory at one time. %% +%% - iterator_from(X, S): returns an iterator that can be used for +%% traversing the elements of set S greater than or equal to X; +%% see `next'. +%% %% - next(T): returns {X, T1} where X is the smallest element referred %% to by the iterator T, and T1 is the new iterator to be used for %% traversing the remaining elements, or the atom `none' if no @@ -157,8 +161,8 @@ insert/2, add/2, delete/2, delete_any/2, balance/1, union/2, union/1, intersection/2, intersection/1, is_disjoint/2, difference/2, is_subset/2, to_list/1, from_list/1, from_ordset/1, smallest/1, - largest/1, take_smallest/1, take_largest/1, iterator/1, next/1, - filter/2, fold/3, is_set/1]). + largest/1, take_smallest/1, take_largest/1, iterator/1, + iterator_from/2, next/1, filter/2, fold/3, is_set/1]). %% `sets' compatibility aliases: @@ -500,6 +504,22 @@ iterator({_, L, _} = T, As) -> iterator(nil, As) -> As. +-spec iterator_from(Element, Set) -> Iter when + Set :: set(Element), + Iter :: iter(Element). + +iterator_from(S, {_, T}) -> + iterator_from(S, T, []). + +iterator_from(S, {K, _, T}, As) when K < S -> + iterator_from(S, T, As); +iterator_from(_, {_, nil, _} = T, As) -> + [T | As]; +iterator_from(S, {_, L, _} = T, As) -> + iterator_from(S, L, [T | As]); +iterator_from(_, nil, As) -> + As. + -spec next(Iter1) -> {Element, Iter2} | 'none' when Iter1 :: iter(Element), Iter2 :: iter(Element). diff --git a/lib/stdlib/src/gb_trees.erl b/lib/stdlib/src/gb_trees.erl index 7069b61873..259e8f718b 100644 --- a/lib/stdlib/src/gb_trees.erl +++ b/lib/stdlib/src/gb_trees.erl @@ -1,7 +1,7 @@ %% %% %CopyrightBegin% %% -%% Copyright Ericsson AB 2001-2014. All Rights Reserved. +%% Copyright Ericsson AB 2001-2015. 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 @@ -102,6 +102,10 @@ %% approach is that it does not require the complete list of all %% elements to be built in memory at one time. %% +%% - iterator_from(K, T): returns an iterator that can be used for +%% traversing the entries of tree T with key greater than or +%% equal to K; see `next'. +%% %% - next(S): returns {X, V, S1} where X is the smallest key referred to %% by the iterator S, and S1 is the new iterator to be used for %% traversing the remaining entries, or the atom `none' if no entries @@ -117,7 +121,7 @@ update/3, enter/3, delete/2, delete_any/2, balance/1, is_defined/2, keys/1, values/1, to_list/1, from_orddict/1, smallest/1, largest/1, take_smallest/1, take_largest/1, - iterator/1, next/1, map/2]). + iterator/1, iterator_from/2, next/1, map/2]). %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% @@ -529,6 +533,29 @@ iterator({_, _, L, _} = T, As) -> iterator(nil, As) -> As. +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +-spec iterator_from(Key, Tree) -> Iter when + Tree :: tree(Key, Value), + Iter :: iter(Key, Value). + +iterator_from(S, {_, T}) -> + iterator_1_from(S, T). + +iterator_1_from(S, T) -> + iterator_from(S, T, []). + +iterator_from(S, {K, _, _, T}, As) when K < S -> + iterator_from(S, T, As); +iterator_from(_, {_, _, nil, _} = T, As) -> + [T | As]; +iterator_from(S, {_, _, L, _} = T, As) -> + iterator_from(S, L, [T | As]); +iterator_from(_, nil, As) -> + As. + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + -spec next(Iter1) -> 'none' | {Key, Value, Iter2} when Iter1 :: iter(Key, Value), Iter2 :: iter(Key, Value). diff --git a/lib/stdlib/src/maps.erl b/lib/stdlib/src/maps.erl index 3877c150ec..533ff08726 100644 --- a/lib/stdlib/src/maps.erl +++ b/lib/stdlib/src/maps.erl @@ -19,7 +19,8 @@ -module(maps). --export([get/3,fold/3, map/2, size/1, +-export([get/3,filter/2,fold/3, map/2, + size/1, without/2, with/2]). @@ -145,6 +146,19 @@ get(Key,Map,Default) -> erlang:error({badmap,Map},[Key,Map,Default]). +-spec filter(Pred,Map1) -> Map2 when + Pred :: fun((Key, Value) -> boolean()), + Key :: term(), + Value :: term(), + Map1 :: map(), + Map2 :: map(). + +filter(Pred,Map) when is_function(Pred,2), is_map(Map) -> + maps:from_list([{K,V}||{K,V}<-maps:to_list(Map),Pred(K,V)]); +filter(Pred,Map) -> + erlang:error(error_type(Map),[Pred,Map]). + + -spec fold(Fun,Init,Map) -> Acc when Fun :: fun((K, V, AccIn) -> AccOut), Init :: term(), @@ -169,10 +183,7 @@ fold(Fun,Init,Map) -> V2 :: term(). map(Fun,Map) when is_function(Fun, 2), is_map(Map) -> - maps:from_list(lists:map(fun - ({K,V}) -> - {K,Fun(K,V)} - end,maps:to_list(Map))); + maps:from_list([{K,Fun(K,V)}||{K,V}<-maps:to_list(Map)]); map(Fun,Map) -> erlang:error(error_type(Map),[Fun,Map]). diff --git a/lib/stdlib/src/otp_internal.erl b/lib/stdlib/src/otp_internal.erl index 24721da187..0340015c35 100644 --- a/lib/stdlib/src/otp_internal.erl +++ b/lib/stdlib/src/otp_internal.erl @@ -631,6 +631,9 @@ obsolete_1(erl_lint, modify_line, 2) -> obsolete_1(ssl, negotiated_next_protocol, 1) -> {deprecated,{ssl,negotiated_protocol,1}}; +obsolete_1(ssl, connection_info, 1) -> + {deprecated, "deprecated; use connection_information/[1,2] instead"}; + obsolete_1(_, _, _) -> no. diff --git a/lib/stdlib/src/rand.erl b/lib/stdlib/src/rand.erl new file mode 100644 index 0000000000..6a805eb69e --- /dev/null +++ b/lib/stdlib/src/rand.erl @@ -0,0 +1,591 @@ +%% +%% %CopyrightBegin% +%% +%% Copyright Ericsson AB 2015. 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 +%% compliance with the License. You should have received a copy of the +%% Erlang Public License along with this software. If not, it can be +%% retrieved online at http://www.erlang.org/. +%% +%% Software distributed under the License is distributed on an "AS IS" +%% basis, WITHOUT WARRANTY OF ANY KIND, either express or implied. See +%% the License for the specific language governing rights and limitations +%% under the License. +%% +%% %CopyrightEnd% +%% +%% ===================================================================== +%% Multiple PRNG module for Erlang/OTP +%% Copyright (c) 2015 Kenji Rikitake +%% ===================================================================== + +-module(rand). + +-export([seed_s/1, seed_s/2, seed/1, seed/2, + export_seed/0, export_seed_s/1, + uniform/0, uniform/1, uniform_s/1, uniform_s/2, + normal/0, normal_s/1 + ]). + +-compile({inline, [exs64_next/1, exsplus_next/1, + exs1024_next/1, exs1024_calc/2, + get_52/1, normal_kiwi/1]}). + +-define(DEFAULT_ALG_HANDLER, exsplus). +-define(SEED_DICT, rand_seed). + +%% ===================================================================== +%% Types +%% ===================================================================== + +%% This depends on the algorithm handler function +-type alg_seed() :: exs64_state() | exsplus_state() | exs1024_state(). +%% This is the algorithm handler function within this module +-type alg_handler() :: #{type => alg(), + max => integer(), + next => fun(), + uniform => fun(), + uniform_n => 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]). + +%% ===================================================================== +%% API +%% ===================================================================== + +%% Return algorithm and seed so that RNG state can be recreated with seed/1 +-spec export_seed() -> undefined | export_state(). +export_seed() -> + case seed_get() of + {#{type:=Alg}, Seed} -> {Alg, Seed}; + _ -> undefined + end. + +-spec export_seed_s(state()) -> export_state(). +export_seed_s({#{type:=Alg}, Seed}) -> {Alg, Seed}. + +%% seed(Alg) seeds RNG with runtime dependent values +%% and return the NEW state + +%% seed({Alg,Seed}) setup RNG with a previously exported seed +%% and return the NEW state + +-spec seed(AlgOrExpState::alg() | export_state()) -> state(). +seed(Alg) -> + R = seed_s(Alg), + _ = seed_put(R), + R. + +-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()}); +seed_s({Alg0, Seed}) -> + {Alg,_SeedFun} = mk_alg(Alg0), + {Alg, Seed}. + +%% seed/2: seeds RNG with the algorithm and given values +%% and returns the NEW state. + +-spec seed(Alg :: alg(), {integer(), integer(), integer()}) -> state(). +seed(Alg0, S0) -> + State = seed_s(Alg0, S0), + _ = seed_put(State), + State. + +-spec seed_s(Alg :: alg(), {integer(), integer(), integer()}) -> state(). +seed_s(Alg0, S0 = {_, _, _}) -> + {Alg, Seed} = mk_alg(Alg0), + AS = Seed(S0), + {Alg, AS}. + +%%% uniform/0, uniform/1, uniform_s/1, uniform_s/2 are all +%%% uniformly distributed random numbers. + +%% uniform/0: returns a random float X where 0.0 < X < 1.0, +%% updating the state in the process dictionary. + +-spec uniform() -> X::float(). +uniform() -> + {X, Seed} = uniform_s(seed_get()), + _ = seed_put(Seed), + X. + +%% uniform/1: given an integer N >= 1, +%% 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(). +uniform(N) -> + {X, Seed} = uniform_s(N, seed_get()), + _ = seed_put(Seed), + X. + +%% uniform_s/1: given a state, uniform_s/1 +%% returns a random float X where 0.0 < X < 1.0, +%% and a new state. + +-spec uniform_s(state()) -> {X::float(), NewS :: state()}. +uniform_s(State = {#{uniform:=Uniform}, _}) -> + Uniform(State). + +%% uniform_s/2: given an integer N >= 1 and a state, uniform_s/2 +%% 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()}. +uniform_s(N, State = {#{uniform_n:=Uniform, max:=Max}, _}) + when 0 < N, N =< Max -> + Uniform(N, State); +uniform_s(N, State0 = {#{uniform:=Uniform}, _}) + when is_integer(N), 0 < N -> + {F, State} = Uniform(State0), + {trunc(F * N) + 1, State}. + +%% normal/0: returns a random float with standard normal distribution +%% updating the state in the process dictionary. + +-spec normal() -> float(). +normal() -> + {X, Seed} = normal_s(seed_get()), + _ = seed_put(Seed), + X. + +%% normal_s/1: returns a random float with standard normal distribution +%% 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()}. +normal_s(State0) -> + {Sign, R, State} = get_52(State0), + Idx = R band 16#FF, + Idx1 = Idx+1, + {Ki, Wi} = normal_kiwi(Idx1), + X = R * Wi, + case R < Ki of + %% Fast path 95% of the time + true when Sign =:= 0 -> {X, State}; + true -> {-X, State}; + %% Slow path + false when Sign =:= 0 -> normal_s(Idx, Sign, X, State); + false -> normal_s(Idx, Sign, -X, State) + end. + +%% ===================================================================== +%% Internal functions + +-define(UINT21MASK, 16#00000000001fffff). +-define(UINT32MASK, 16#00000000ffffffff). +-define(UINT33MASK, 16#00000001ffffffff). +-define(UINT39MASK, 16#0000007fffffffff). +-define(UINT58MASK, 16#03ffffffffffffff). +-define(UINT64MASK, 16#ffffffffffffffff). + +-type uint64() :: 0..16#ffffffffffffffff. +-type uint58() :: 0..16#03ffffffffffffff. + +-spec seed_put(state()) -> undefined | state(). +seed_put(Seed) -> + put(?SEED_DICT, Seed). + +seed_get() -> + case get(?SEED_DICT) of + undefined -> seed(?DEFAULT_ALG_HANDLER); + Old -> Old % no type checking here + end. + +%% Setup alg record +mk_alg(exs64) -> + {#{type=>exs64, max=>?UINT64MASK, next=>fun exs64_next/1, + uniform=>fun exs64_uniform/1, uniform_n=>fun exs64_uniform/2}, + fun exs64_seed/1}; +mk_alg(exsplus) -> + {#{type=>exsplus, max=>?UINT58MASK, next=>fun exsplus_next/1, + uniform=>fun exsplus_uniform/1, uniform_n=>fun exsplus_uniform/2}, + fun exsplus_seed/1}; +mk_alg(exs1024) -> + {#{type=>exs1024, max=>?UINT64MASK, next=>fun exs1024_next/1, + uniform=>fun exs1024_uniform/1, uniform_n=>fun exs1024_uniform/2}, + fun exs1024_seed/1}. + +%% ===================================================================== +%% exs64 PRNG: Xorshift64* +%% Algorithm by Sebastiano Vigna +%% Reference URL: http://xorshift.di.unimi.it/ +%% ===================================================================== + +-type exs64_state() :: uint64(). + +exs64_seed({A1, A2, A3}) -> + {V1, _} = exs64_next(((A1 band ?UINT32MASK) * 4294967197 + 1)), + {V2, _} = exs64_next(((A2 band ?UINT32MASK) * 4294967231 + 1)), + {V3, _} = exs64_next(((A3 band ?UINT32MASK) * 4294967279 + 1)), + ((V1 * V2 * V3) rem (?UINT64MASK - 1)) + 1. + +%% Advance xorshift64* state for one step and generate 64bit unsigned integer +-spec exs64_next(exs64_state()) -> {uint64(), exs64_state()}. +exs64_next(R) -> + R1 = R bxor (R bsr 12), + R2 = R1 bxor ((R1 band ?UINT39MASK) bsl 25), + R3 = R2 bxor (R2 bsr 27), + {(R3 * 2685821657736338717) band ?UINT64MASK, R3}. + +exs64_uniform({Alg, R0}) -> + {V, R1} = exs64_next(R0), + {V / 18446744073709551616, {Alg, R1}}. + +exs64_uniform(Max, {Alg, R}) -> + {V, R1} = exs64_next(R), + {(V rem Max) + 1, {Alg, R1}}. + +%% ===================================================================== +%% exsplus PRNG: Xorshift116+ +%% Algorithm by Sebastiano Vigna +%% Reference URL: http://xorshift.di.unimi.it/ +%% 58 bits fits into an immediate on 64bits erlang and is thus much faster. +%% 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()). + +exsplus_seed({A1, A2, A3}) -> + {_, R1} = exsplus_next([(((A1 * 4294967197) + 1) band ?UINT58MASK)| + (((A2 * 4294967231) + 1) band ?UINT58MASK)]), + {_, R2} = exsplus_next([(((A3 * 4294967279) + 1) band ?UINT58MASK)| + tl(R1)]), + R2. + +%% Advance xorshift116+ state for one step and generate 58bit unsigned integer +-spec exsplus_next(exsplus_state()) -> {uint58(), exsplus_state()}. +exsplus_next([S1|S0]) -> + %% Note: members s0 and s1 are swapped here + S11 = (S1 bxor (S1 bsl 24)) band ?UINT58MASK, + S12 = S11 bxor S0 bxor (S11 bsr 11) bxor (S0 bsr 41), + {(S0 + S12) band ?UINT58MASK, [S0|S12]}. + +exsplus_uniform({Alg, R0}) -> + {I, R1} = exsplus_next(R0), + {I / (?UINT58MASK+1), {Alg, R1}}. + +exsplus_uniform(Max, {Alg, R}) -> + {V, R1} = exsplus_next(R), + {(V rem Max) + 1, {Alg, R1}}. + +%% ===================================================================== +%% exs1024 PRNG: Xorshift1024* +%% Algorithm by Sebastiano Vigna +%% Reference URL: http://xorshift.di.unimi.it/ +%% ===================================================================== + +-type exs1024_state() :: {list(uint64()), list(uint64())}. + +exs1024_seed({A1, A2, A3}) -> + B1 = (((A1 band ?UINT21MASK) + 1) * 2097131) band ?UINT21MASK, + B2 = (((A2 band ?UINT21MASK) + 1) * 2097133) band ?UINT21MASK, + B3 = (((A3 band ?UINT21MASK) + 1) * 2097143) band ?UINT21MASK, + {exs1024_gen1024((B1 bsl 43) bor (B2 bsl 22) bor (B3 bsl 1) bor 1), + []}. + +%% Generate a list of 16 64-bit element list +%% of the xorshift64* random sequence +%% from a given 64-bit seed. +%% Note: dependent on exs64_next/1 +-spec exs1024_gen1024(uint64()) -> list(uint64()). +exs1024_gen1024(R) -> + exs1024_gen1024(16, R, []). + +exs1024_gen1024(0, _, L) -> + L; +exs1024_gen1024(N, R, L) -> + {X, R2} = exs64_next(R), + exs1024_gen1024(N - 1, R2, [X|L]). + +%% Calculation of xorshift1024*. +%% exs1024_calc(S0, S1) -> {X, NS1}. +%% X: random number output +-spec exs1024_calc(uint64(), uint64()) -> {uint64(), uint64()}. +exs1024_calc(S0, S1) -> + S11 = S1 bxor ((S1 band ?UINT33MASK) bsl 31), + S12 = S11 bxor (S11 bsr 11), + S01 = S0 bxor (S0 bsr 30), + NS1 = S01 bxor S12, + {(NS1 * 1181783497276652981) band ?UINT64MASK, NS1}. + +%% Advance xorshift1024* state for one step and generate 64bit unsigned integer +-spec exs1024_next(exs1024_state()) -> {uint64(), exs1024_state()}. +exs1024_next({[S0,S1|L3], RL}) -> + {X, NS1} = exs1024_calc(S0, S1), + {X, {[NS1|L3], [S0|RL]}}; +exs1024_next({[H], RL}) -> + NL = [H|lists:reverse(RL)], + exs1024_next({NL, []}). + +exs1024_uniform({Alg, R0}) -> + {V, R1} = exs1024_next(R0), + {V / 18446744073709551616, {Alg, R1}}. + +exs1024_uniform(Max, {Alg, R}) -> + {V, R1} = exs1024_next(R), + {(V rem Max) + 1, {Alg, R1}}. + +%% ===================================================================== +%% Ziggurat cont +%% ===================================================================== +-define(NOR_R, 3.6541528853610087963519472518). +-define(NOR_INV_R, 1/?NOR_R). + +%% return a {sign, Random51bits, State} +get_52({Alg=#{next:=Next}, S0}) -> + {Int,S1} = Next(S0), + {((1 bsl 51) band Int), Int band ((1 bsl 51)-1), {Alg, S1}}. + +%% Slow path +normal_s(0, Sign, X0, State0) -> + {U0, S1} = uniform_s(State0), + X = -?NOR_INV_R*math:log(U0), + {U1, S2} = uniform_s(S1), + Y = -math:log(U1), + case Y+Y > X*X of + false -> + normal_s(0, Sign, X0, S2); + true when Sign =:= 0 -> + {?NOR_R + X, S2}; + true -> + {-?NOR_R - X, S2} + end; +normal_s(Idx, _Sign, X, State0) -> + Fi2 = normal_fi(Idx+1), + {U0, S1} = uniform_s(State0), + case ((normal_fi(Idx) - Fi2)*U0 + Fi2) < math:exp(-0.5*X*X) of + true -> {X, S1}; + false -> normal_s(S1) + end. + +%% Tables for generating normal_s +%% ki is zipped with wi (slightly faster) +normal_kiwi(Indx) -> + element(Indx, + {{2104047571236786,1.736725412160263e-15}, {0,9.558660351455634e-17}, + {1693657211986787,1.2708704834810623e-16},{1919380038271141,1.4909740962495474e-16}, + {2015384402196343,1.6658733631586268e-16},{2068365869448128,1.8136120810119029e-16}, + {2101878624052573,1.9429720153135588e-16},{2124958784102998,2.0589500628482093e-16}, + {2141808670795147,2.1646860576895422e-16},{2154644611568301,2.2622940392218116e-16}, + {2164744887587275,2.353271891404589e-16},{2172897953696594,2.438723455742877e-16}, + {2179616279372365,2.5194879829274225e-16},{2185247251868649,2.5962199772528103e-16}, + {2190034623107822,2.6694407473648285e-16},{2194154434521197,2.7395729685142446e-16}, + {2197736978774660,2.8069646002484804e-16},{2200880740891961,2.871905890411393e-16}, + {2203661538010620,2.9346417484728883e-16},{2206138681109102,2.9953809336782113e-16}, + {2208359231806599,3.054303000719244e-16},{2210361007258210,3.111563633892157e-16}, + {2212174742388539,3.1672988018581815e-16},{2213825672704646,3.2216280350549905e-16}, + {2215334711002614,3.274657040793975e-16},{2216719334487595,3.326479811684171e-16}, + {2217994262139172,3.377180341735323e-16},{2219171977965032,3.4268340353119356e-16}, + {2220263139538712,3.475508873172976e-16},{2221276900117330,3.523266384600203e-16}, + {2222221164932930,3.5701624633953494e-16},{2223102796829069,3.616248057159834e-16}, + {2223927782546658,3.661569752965354e-16},{2224701368170060,3.7061702777236077e-16}, + {2225428170204312,3.75008892787478e-16},{2226112267248242,3.7933619401549554e-16}, + {2226757276105256,3.836022812967728e-16},{2227366415328399,3.8781025861250247e-16}, + {2227942558554684,3.919630085325768e-16},{2228488279492521,3.9606321366256378e-16}, + {2229005890047222,4.001133755254669e-16},{2229497472775193,4.041158312414333e-16}, + {2229964908627060,4.080727683096045e-16},{2230409900758597,4.119862377480744e-16}, + {2230833995044585,4.1585816580828064e-16},{2231238597816133,4.1969036444740733e-16}, + {2231624991250191,4.234845407152071e-16},{2231994346765928,4.272423051889976e-16}, + {2232347736722750,4.309651795716294e-16},{2232686144665934,4.346546035512876e-16}, + {2233010474325959,4.383119410085457e-16},{2233321557544881,4.4193848564470665e-16}, + {2233620161276071,4.455354660957914e-16},{2233906993781271,4.491040505882875e-16}, + {2234182710130335,4.52645351185714e-16},{2234447917093496,4.561604276690038e-16}, + {2234703177503020,4.596502910884941e-16},{2234949014150181,4.631159070208165e-16}, + {2235185913274316,4.665581985600875e-16},{2235414327692884,4.699780490694195e-16}, + {2235634679614920,4.733763047158324e-16},{2235847363174595,4.767537768090853e-16}, + {2236052746716837,4.8011124396270155e-16},{2236251174862869,4.834494540935008e-16}, + {2236442970379967,4.867691262742209e-16},{2236628435876762,4.900709524522994e-16}, + {2236807855342765,4.933555990465414e-16},{2236981495548562,4.966237084322178e-16}, + {2237149607321147,4.998759003240909e-16},{2237312426707209,5.031127730659319e-16}, + {2237470176035652,5.0633490483427195e-16},{2237623064889403,5.095428547633892e-16}, + {2237771290995388,5.127371639978797e-16},{2237915041040597,5.159183566785736e-16}, + {2238054491421305,5.190869408670343e-16},{2238189808931712,5.222434094134042e-16}, + {2238321151397660,5.253882407719454e-16},{2238448668260432,5.285218997682382e-16}, + {2238572501115169,5.316448383216618e-16},{2238692784207942,5.34757496126473e-16}, + {2238809644895133,5.378603012945235e-16},{2238923204068402,5.409536709623993e-16}, + {2239033576548190,5.440380118655467e-16},{2239140871448443,5.471137208817361e-16}, + {2239245192514958,5.501811855460336e-16},{2239346638439541,5.532407845392784e-16}, + {2239445303151952,5.56292888151909e-16},{2239541276091442,5.593378587248462e-16}, + {2239634642459498,5.623760510690043e-16},{2239725483455293,5.65407812864896e-16}, + {2239813876495186,5.684334850436814e-16},{2239899895417494,5.714534021509204e-16}, + {2239983610673676,5.744678926941961e-16},{2240065089506935,5.774772794756965e-16}, + {2240144396119183,5.804818799107686e-16},{2240221591827230,5.834820063333892e-16}, + {2240296735208969,5.864779662894365e-16},{2240369882240293,5.894700628185872e-16}, + {2240441086423386,5.924585947256134e-16},{2240510398907004,5.95443856841806e-16}, + {2240577868599305,5.984261402772028e-16},{2240643542273726,6.014057326642664e-16}, + {2240707464668391,6.043829183936125e-16},{2240769678579486,6.073579788423606e-16}, + {2240830224948980,6.103311925956439e-16},{2240889142947082,6.133028356617911e-16}, + {2240946470049769,6.162731816816596e-16},{2241002242111691,6.192425021325847e-16}, + {2241056493434746,6.222110665273788e-16},{2241109256832602,6.251791426088e-16}, + {2241160563691400,6.281469965398895e-16},{2241210444026879,6.311148930905604e-16}, + {2241258926538122,6.34083095820806e-16},{2241306038658137,6.370518672608815e-16}, + {2241351806601435,6.400214690888025e-16},{2241396255408788,6.429921623054896e-16}, + {2241439408989313,6.459642074078832e-16},{2241481290160038,6.489378645603397e-16}, + {2241521920683062,6.519133937646159e-16},{2241561321300462,6.548910550287415e-16}, + {2241599511767028,6.578711085350741e-16},{2241636510880960,6.608538148078259e-16}, + {2241672336512612,6.638394348803506e-16},{2241707005631362,6.668282304624746e-16}, + {2241740534330713,6.698204641081558e-16},{2241772937851689,6.728163993837531e-16}, + {2241804230604585,6.758163010371901e-16},{2241834426189161,6.78820435168298e-16}, + {2241863537413311,6.818290694006254e-16},{2241891576310281,6.848424730550038e-16}, + {2241918554154466,6.878609173251664e-16},{2241944481475843,6.908846754557169e-16}, + {2241969368073071,6.939140229227569e-16},{2241993223025298,6.969492376174829e-16}, + {2242016054702685,6.999906000330764e-16},{2242037870775710,7.030383934552151e-16}, + {2242058678223225,7.060929041565482e-16},{2242078483339331,7.091544215954873e-16}, + {2242097291739040,7.122232386196779e-16},{2242115108362774,7.152996516745303e-16}, + {2242131937479672,7.183839610172063e-16},{2242147782689725,7.214764709364707e-16}, + {2242162646924736,7.245774899788387e-16},{2242176532448092,7.276873311814693e-16}, + {2242189440853337,7.308063123122743e-16},{2242201373061537,7.339347561177405e-16}, + {2242212329317416,7.370729905789831e-16},{2242222309184237,7.4022134917658e-16}, + {2242231311537397,7.433801711647648e-16},{2242239334556717,7.465498018555889e-16}, + {2242246375717369,7.497305929136979e-16},{2242252431779415,7.529229026624058e-16}, + {2242257498775893,7.561270964017922e-16},{2242261571999416,7.5934354673958895e-16}, + {2242264645987196,7.625726339356756e-16},{2242266714504453,7.658147462610487e-16}, + {2242267770526109,7.690702803721919e-16},{2242267806216711,7.723396417018299e-16}, + {2242266812908462,7.756232448671174e-16},{2242264781077289,7.789215140963852e-16}, + {2242261700316818,7.822348836756411e-16},{2242257559310145,7.855637984161084e-16}, + {2242252345799276,7.889087141441755e-16},{2242246046552082,7.922700982152271e-16}, + {2242238647326615,7.956484300529366e-16},{2242230132832625,7.99044201715713e-16}, + {2242220486690076,8.024579184921259e-16},{2242209691384458,8.058900995272657e-16}, + {2242197728218684,8.093412784821501e-16},{2242184577261310,8.128120042284501e-16}, + {2242170217290819,8.163028415809877e-16},{2242154625735679,8.198143720706533e-16}, + {2242137778609839,8.23347194760605e-16},{2242119650443327,8.26901927108847e-16}, + {2242100214207556,8.304792058805374e-16},{2242079441234906,8.340796881136629e-16}, + {2242057301132135,8.377040521420222e-16},{2242033761687079,8.413529986798028e-16}, + {2242008788768107,8.450272519724097e-16},{2241982346215682,8.487275610186155e-16}, + {2241954395725356,8.524547008695596e-16},{2241924896721443,8.562094740106233e-16}, + {2241893806220517,8.599927118327665e-16},{2241861078683830,8.638052762005259e-16}, + {2241826665857598,8.676480611245582e-16},{2241790516600041,8.715219945473698e-16}, + {2241752576693881,8.754280402517175e-16},{2241712788642916,8.793671999021043e-16}, + {2241671091451078,8.833405152308408e-16},{2241627420382235,8.873490703813135e-16}, + {2241581706698773,8.913939944224086e-16},{2241533877376767,8.954764640495068e-16}, + {2241483854795281,8.9959770648911e-16},{2241431556397035,9.037590026260118e-16}, + {2241376894317345,9.079616903740068e-16},{2241319774977817,9.122071683134846e-16}, + {2241260098640860,9.164968996219135e-16},{2241197758920538,9.208324163262308e-16}, + {2241132642244704,9.252153239095693e-16},{2241064627262652,9.296473063086417e-16}, + {2240993584191742,9.341301313425265e-16},{2240919374095536,9.38665656618666e-16}, + {2240841848084890,9.432558359676707e-16},{2240760846432232,9.479027264651738e-16}, + {2240676197587784,9.526084961066279e-16},{2240587717084782,9.57375432209745e-16}, + {2240495206318753,9.622059506294838e-16},{2240398451183567,9.671026058823054e-16}, + {2240297220544165,9.720681022901626e-16},{2240191264522612,9.771053062707209e-16}, + {2240080312570155,9.822172599190541e-16},{2239964071293331,9.874071960480671e-16}, + {2239842221996530,9.926785548807976e-16},{2239714417896699,9.980350026183645e-16}, + {2239580280957725,1.003480452143618e-15},{2239439398282193,1.0090190861637457e-15}, + {2239291317986196,1.0146553831467086e-15},{2239135544468203,1.0203941464683124e-15}, + {2238971532964979,1.0262405372613567e-15},{2238798683265269,1.0322001115486456e-15}, + {2238616332424351,1.03827886235154e-15},{2238423746288095,1.044483267600047e-15}, + {2238220109591890,1.0508203448355195e-15},{2238004514345216,1.057297713900989e-15}, + {2237775946143212,1.06392366906768e-15},{2237533267957822,1.0707072623632994e-15}, + {2237275200846753,1.0776584002668106e-15},{2237000300869952,1.0847879564403425e-15}, + {2236706931309099,1.0921079038149563e-15},{2236393229029147,1.0996314701785628e-15}, + {2236057063479501,1.1073733224935752e-15},{2235695986373246,1.1153497865853155e-15}, + {2235307169458859,1.1235791107110833e-15},{2234887326941578,1.1320817840164846e-15}, + {2234432617919447,1.140880924258278e-15},{2233938522519765,1.1500027537839792e-15}, + {2233399683022677,1.159477189144919e-15},{2232809697779198,1.169338578691096e-15}, + {2232160850599817,1.17962663529558e-15},{2231443750584641,1.190387629928289e-15}, + {2230646845562170,1.2016759392543819e-15},{2229755753817986,1.2135560818666897e-15}, + {2228752329126533,1.2261054417450561e-15},{2227613325162504,1.2394179789163251e-15}, + {2226308442121174,1.2536093926602567e-15},{2224797391720399,1.268824481425501e-15}, + {2223025347823832,1.2852479319096109e-15},{2220915633329809,1.3031206634689985e-15}, + {2218357446087030,1.3227655770195326e-15},{2215184158448668,1.3446300925011171e-15}, + {2211132412537369,1.3693606835128518e-15},{2205758503851065,1.397943667277524e-15}, + {2198248265654987,1.4319989869661328e-15},{2186916352102141,1.4744848603597596e-15}, + {2167562552481814,1.5317872741611144e-15},{2125549880839716,1.6227698675312968e-15}}). + +normal_fi(Indx) -> + element(Indx, + {1.0000000000000000e+00,9.7710170126767082e-01,9.5987909180010600e-01, + 9.4519895344229909e-01,9.3206007595922991e-01,9.1999150503934646e-01, + 9.0872644005213032e-01,8.9809592189834297e-01,8.8798466075583282e-01, + 8.7830965580891684e-01,8.6900868803685649e-01,8.6003362119633109e-01, + 8.5134625845867751e-01,8.4291565311220373e-01,8.3471629298688299e-01, + 8.2672683394622093e-01,8.1892919160370192e-01,8.1130787431265572e-01, + 8.0384948317096383e-01,7.9654233042295841e-01,7.8937614356602404e-01, + 7.8234183265480195e-01,7.7543130498118662e-01,7.6863731579848571e-01, + 7.6195334683679483e-01,7.5537350650709567e-01,7.4889244721915638e-01, + 7.4250529634015061e-01,7.3620759812686210e-01,7.2999526456147568e-01, + 7.2386453346862967e-01,7.1781193263072152e-01,7.1183424887824798e-01, + 7.0592850133275376e-01,7.0009191813651117e-01,6.9432191612611627e-01, + 6.8861608300467136e-01,6.8297216164499430e-01,6.7738803621877308e-01, + 6.7186171989708166e-01,6.6639134390874977e-01,6.6097514777666277e-01, + 6.5561147057969693e-01,6.5029874311081637e-01,6.4503548082082196e-01, + 6.3982027745305614e-01,6.3465179928762327e-01,6.2952877992483625e-01, + 6.2445001554702606e-01,6.1941436060583399e-01,6.1442072388891344e-01, + 6.0946806492577310e-01,6.0455539069746733e-01,5.9968175261912482e-01, + 5.9484624376798689e-01,5.9004799633282545e-01,5.8528617926337090e-01, + 5.8055999610079034e-01,5.7586868297235316e-01,5.7121150673525267e-01, + 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a/lib/stdlib/src/shell_default.erl b/lib/stdlib/src/shell_default.erl index 3fe359af0e..0fca7ff8c7 100644 --- a/lib/stdlib/src/shell_default.erl +++ b/lib/stdlib/src/shell_default.erl @@ -23,7 +23,7 @@ -module(shell_default). -export([help/0,lc/1,c/1,c/2,nc/1,nl/1,l/1,i/0,pid/3,i/3,m/0,m/1, - memory/0,memory/1, + memory/0,memory/1,uptime/0, erlangrc/1,bi/1, regs/0, flush/0,pwd/0,ls/0,ls/1,cd/1, y/1, y/2, xm/1, bt/1, q/0, @@ -92,6 +92,7 @@ pid(X,Y,Z) -> c:pid(X,Y,Z). pwd() -> c:pwd(). q() -> c:q(). regs() -> c:regs(). +uptime() -> c:uptime(). xm(Mod) -> c:xm(Mod). y(File) -> c:y(File). y(File, Opts) -> c:y(File, Opts). diff --git a/lib/stdlib/src/stdlib.app.src b/lib/stdlib/src/stdlib.app.src index d4d2237b38..a27a35dca2 100644 --- a/lib/stdlib/src/stdlib.app.src +++ b/lib/stdlib/src/stdlib.app.src @@ -84,6 +84,7 @@ qlc, qlc_pt, queue, + rand, random, re, sets, |