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"=^e^j}^ (- U-   1   .24ێ-V#!!-,-L-QXV#!"-,oTv -/0l1 1M/0 1 1Q/0M 0&./ /lÐ3 3͐;MÐ23 ֐3j!!#j! .!j!2 j€!4 9 $ | 3%    - +-  - - qe%-- ݏ-21-   -  -  ^N^  j  ͸2 !h "h Ӹ2  %^  "m^  ^ ]^  h! ָ2  ^  "!!(/, hݒ ޒ  $%)+##,-L-QX#,oTv#4$&'(($M' ($(&'M'%&&**$;M)**%)+  %-    j   "%!,3:C$< >?<j$=h3>(B? < >?tU!-,=}!-, !-(>k  ++)%$    jj 'j 0j  j   C k& 442.l5k'50k+:0k+:,,(0k+: l*7l*8l*850,;80.7 e;,l*8l*7l*7m*65 j/j='j0jjXm*bma,(m,m,((m9Xmm+:m*m+:m*6m*6,,((m*6 `0 BnJ E`N ^me -qe%^2RhmeM92gh jX^}ȸ2  l meM%Ӹ2 >^  wKVn!Vn!jq!9qlOqaqjq|q nmepqe͒#!D-peT0 9q Oq$aq$jq$|q$Ip(e(+'gep'p(he9*(p)hep)p*p*63*gel*M3,,Y3-,pqeғ0@$L΋ h   o Z  f h. 0ǒ)* 3 3 T0Γ4  T 92g h (  jM^ (  j  A h! h)  ,T ~ }   (&N   KX Hk'm*l*l*Xm*0k+4,j h ($ - Hmq ^    =lMĸ`M- mid- %2  Ʒ2  Q h!Q h"self__v%^ -^ !rest%^ ",Œ!$ xorshifted-%rot)Q+!V!V!,-L-QX!V!#V!,oTv!j!% j!)k?Kt _t -!-=~݂.2Q 4q!m!,-L-QXi"-e",oTva#.^#2}=A?> ݂   Q ,-L-QX,oTv fFfUf lfzf f„ffZ# )!4;BP iv!^0 #+7?FT #o|              Gfi|  ]DerefMutD < z, {{# Random number generation traitsLI This crate is mainly of interest to crates publishing implementations ofMJ [`RngCore`]. Other users are encouraged to use the [`rand`] crate instead52 which re-exports the main traits and error types.QN [`RngCore`] is the core trait implemented by algorithmic pseudo-random number2/ generators and external random-number sources.OL [`SeedableRng`] is an extension trait for construction from fixed seeds and# other random number generators.PM The [`impls`] and [`le`] sub-modules include a few small functions to assist" implementation of [`RngCore`]." [`rand`]: https://docs.rs/rand   8l 79https://www.rust-lang.org/logos/rust-logo-128x128-blk.png;$ 8  7%https://www.rust-lang.org/favicon.ico '$ 8l  7#https://rust-random.github.io/rand/ %   8$   8$   8,   8unused_variables $ 8$   8warningsD  <Gfi|~~]vuzt{{  l l 74 The `BlockRngCore` trait and implementation helpersMJ The [`BlockRngCore`] trait exists to assist in the implementation of RNGsLI which generate a block of data in a cache instead of returning generated values directly.A> Usage of this trait is optional, but provides two advantages:JG implementations only need to concern themselves with generation of thePM block, not the various [`RngCore`] methods (especially [`fill_bytes`], whereA> the optimal implementations are not trivial), and this allowsNK `ReseedingRng` (see [`rand`](https://docs.rs/rand) crate) perform periodic%" reseeding with very low overhead.l # Examplel ```no_run*' use rand_core::{RngCore, SeedableRng};30 use rand_core::block::{BlockRngCore, BlockRng}; struct MyRngCore;  %" impl BlockRngCore for MyRngCore {İ  type Item = u32; ! type Results = [u32; 16];  =: fn generate(&mut self, results: &mut Self::Results) {  unimplemented!()L  },  }  $! impl SeedableRng for MyRngCore {  type Seed = [u8; 32]; 0- fn from_seed(seed: Self::Seed) -> Self { L ,   >; // optionally, also implement CryptoBlockRng for MyRngCore   // Final RNG. :7 let mut rng = BlockRng::::seed_from_u64(0); 0- println!("First value: {}", rng.next_u32());<  ```  0- [`BlockRngCore`]: crate::block::BlockRngCore'$ [`fill_bytes`]: RngCore::fill_bytes,  | [L  <| \ T ]q4fhWYIK:$349T44 4 "}~" !5D5  5 $57D7  7 $77 !!!! !F =(0=)T=  e0 = "$=j3A?$$ AdA\A%&'(**(&'HJLA$A##rB&LB## &q8B#lB## 'qb:C+DC w#)) C#wdD|w?@AC@A?CACLk$k<<rl&Ll<< ?q_l#ll<< @q`m+Dm w<BB m<dm= self.rsl.len() {! self.isaac();l! }!"+( let (consumed_u32, filled_u8) ="GD impls::fill_via_u32_chunks(&mut self.rsl[self.index..],"B? &mut dest[read_len..]);##'$ self.index += consumed_u32;#" read_len += filled_u8;L$,$<$0.9.3use BlockRng instead$=$ = ei $ ^$j$%*N%Nt&&&63 The return values are `(consumed_u64, filled_u8)`.&&I'<''O((PM `consumed_u64` is the number of words consumed from `src`, which is the same)" as `filled_u8 / 8` rounded up.))-* See `fill_via_u32_chunks` for an example.use BlockRng64 instead*?* Ƙ ei * _*j$*+A+?< Implement `next_u32` via `fill_bytes`, little-endian order., aa , ,ϴ<, `x ,``(-A-?< Implement `next_u64` via `fill_bytes`, little-endian order.- dd . -ϴ<- cxޝ .cc(T  Little-Endian utilitiesKH Little-Endian order has been chosen for internal usage; this makes some useful functions available. gh196 Reads unsigned 32 bit integers from `src` into `dst`.d # Panics@= If `dst` has insufficient space (`4*dst.len() < src.len()`).R|l e =0  g196 Reads unsigned 64 bit integers from `src` into `dst`.d@= If `dst` has insufficient space (`8*dst.len() < src.len()`).R|l e Ƙ0  h\Z4    8<  7os_rngD ԭ  dikTil!(*# n`nD  ``` ]`0]9ֹ`/m m n$j"  8< 7, pp>4  92g o o p$d r(B? Extract the raw OS error code (if this error came from the OS)MJ This method is identical to [`std::io::Error::raw_os_error()`][1], exceptJG that it works in `no_std` contexts. If this method returns `None`, theHE error value can still be formatted via the `Display` implementation.OL [1]: https://doc.rust-lang.org/std/io/struct.Error.html#method.raw_os_errord qq rtuvwuwvT,ss 6d ٳܳݳ޳߳i=2*s s u$6d ٳܳݳ޳߳i=2*s s v$Ht  eٳܳݳ޳߳i=2*0s s w$jXܫ AAAA' +( Implementation-level interface for RNGs  EB This trait encapsulates the low-level functionality common to allGD generators, and is the "back end", to be implemented by generators.96 End users should normally use the [`rand::Rng`] traitMJ which is automatically implemented for every type implementing `RngCore`.MJ Three different methods for generating random data are provided since theOL optimal implementation of each is dependent on the type of generator. ThereEB is no required relationship between the output of each; e.g. manyNK implementations of [`fill_bytes`] consume a whole number of `u32` or `u64`LI values and drop any remaining unused bytes. The same can happen with theKH [`next_u32`] and [`next_u64`] methods, implementations may discard some random bits for efficiency.NK Implementers should produce bits uniformly. Pathological RNGs (e.g. alwaysPM returning the same value, or never setting certain bits) can break rejectionIF sampling used by random distributions, and also break other RNGs when/, seeding them via [`SeedableRng::from_rng`].LI Algorithmic generators implementing [`SeedableRng`] should normally haveOL *portable, reproducible* output, i.e. fix Endianness when converting valuesLI to avoid platform differences, and avoid making any changes which affectKH output (except by communicating that the release has breaking changes).EB Typically an RNG will implement only one of the methods availableB? in this trait directly, then use the helper functions from the41 [`impls`] module to implement the other methods.FC Note that implementors of [`RngCore`] also automatically implementC@ the [`TryRngCore`] trait with the `Error` associated type being equal to [`Infallible`].:7 It is recommended that implementations also implement:NK - `Debug` with a custom implementation which *does not* print any internalKH state (at least, [`CryptoRng`]s should not risk leaking state through| `Debug`).IF - `Serialize` and `Deserialize` (from Serde), preferably making Serde74 support optional at the crate level in PRNG libs. - `Clone`, if possible.MJ - *never* implement `Copy` (accidental copies may cause repeated values).KH - *do not* implement `Default` for pseudorandom generators, but insteadGD implement [`SeedableRng`], to guide users towards proper seeding.A> External / hardware RNGs can choose to implement `Default`. MJ - `Eq` and `PartialEq` could be implemented, but are probably not useful.!l!!!DA A simple example, obviously not generating very *random* output:! u32 {#" self.next_u64() as u32L###'$ fn next_u64(&mut self) -> u64 {# self.0 += 1;$ self.0L$$$2/ fn fill_bytes(&mut self, dst: &mut [u8]) {$1. impls::fill_bytes_via_next(self, dst)L%,%<%%%B? [`rand::Rng`]: https://docs.rs/rand/latest/rand/trait.Rng.html%'&# [`next_u32`]: RngCore::next_u32&# [`next_u64`]: RngCore::next_u64&-* [`Infallible`]: core::convert::Infallible<'||' |}~}~}~)'! Return the next random `u32`.''HE RNGs must implement at least one method from this trait directly. In(KH the case this method is not implemented directly, it can be implemented(GD using `self.next_u64() as u32` or via [`impls::next_u32_via_fill`].D) | )| }$)+)! Return the next random `u64`.**H׆*K+HE via [`impls::next_u64_via_u32`] or via [`impls::next_u64_via_fill`].D+ | ,| ~$,0),! Fill `dest` with random data.,,H׆-K-'$ via [`impls::fill_bytes_via_next`]...?< This method should guarantee that `dest` is entirely filled.63 with new data, and may panic if this is impossible/B? (e.g. reading past the end of a file that is being used as the/ source of randomness).T0  e0| 0| $000= 0!D0|ˣ<0!}~CE1D1 ! 1 !$11D1 ! 1 !$12(T2 ! e0 2 !$2C?3C@ A marker trait over [`RngCore`] for securely unpredictable RNGs33LI This marker trait indicates that the implementing generator is intended,4KH when correctly seeded and protected from side-channel attacks such as a4OL leaking of state, to be a cryptographically secure generator. This trait is5KH provided as a tool to aid review of cryptographic code, but does not by6@= itself guarantee suitability for cryptographic applications.66LI Implementors of `CryptoRng` automatically implement the [`TryCryptoRng`]T7 trait.77HE Implementors of `CryptoRng` should only implement [`Default`] if the8NK `default()` instances are themselves secure generators: for example if the8OL implementing type is a stateless interface over a secure external generator9NK (like [`OsRng`]) or if the `default()` instance uses a strong, fresh seed.99PM Formally, a CSPRNG (Cryptographically Secure Pseudo-Random Number Generator):NK should satisfy an additional property over other generators: assuming that;KH the generator has been appropriately seeded and has unknown state, then;52 given the first *k* bits of an algorithm's outputFC prior output values. This property is not required by `CryptoRng`.L??|; panic in case the underlying fallible RNG yields an error.TDD E&`TE`dE)E%D2/ The type returned in the event of a RNG error.,EE7E!dE ٳܳݳ޳߳i=2* E $EF7F!dF ٳܳݳ޳߳i=2* F $FGHF*' Fill `dest` entirely with random data.tG  eٳܳݳ޳߳i=2*0 G $GGHEG,) Wrap RNG with the [`UnwrapErr`] wrapper.TH,H  I/I,) Wrap RNG with the [`UnwrapMut`] wrapper.TI  jܸ I $IJUJ30 Convert an [`RngCore`] to a [`RngReadAdapter`].J J J8 32. To be able to implement the traits required by `SeedableRng`qDA for RNGs with such large seeds, the newtype pattern can be used:q MyRngSeed {t MyRngSeed([0; N])Lt,ttt$! impl AsRef<[u8]> for MyRngSeed {u# fn as_ref(&self) -> &[u8] {u &self.0Lu,uuu$! impl AsMut<[u8]> for MyRngSeed {v+( fn as_mut(&mut self) -> &mut [u8] {v &mut self.0Lv,vvv  impl SeedableRng for MyRng {w type Seed = MyRngSeed;ww0- fn from_seed(seed: MyRngSeed) -> MyRng {x MyRng(seed)Lx,x; another constructor replicating behaviour from a referenceˁ  implementation can be added.JG PRNG implementations should make sure `from_seed` never panics. In theǂHE case that some special values (like an all zero seed) are not viableIF seeds it is preferable to map these to alternative constant value(s),KH for example `0xBAD5EEDu32` or `0x0DDB1A5E5BAD5EEDu64` ("odd biases? badLI seed"). This is assuming only a small number of values must be rejected.Lq$()& Create a new PRNG using a `u64` seed.ޅJG This is a convenience-wrapper around `from_seed` to allow constructionLI of any `SeedableRng` from a simple `u64` value. It is designed such thatHE low Hamming Weight numbers like 0 and 1 can be used and should stillӇDA result in good, independent seeds to the PRNG which is returned.LI This **is not suitable for cryptography**, as should be clear given that# the input size is only 64 bits.HE Implementations for PRNGs *may* provide their own implementations ofKH this function, but the default implementation should be good enough forŠJG all purposes. *Changing* the implementation of this function should be'$ considered a value-breaking change.l ,ҋ$,  Ɍ p ی(ttޞ+63 Create a new PRNG seeded from an infallible `Rng`.LI This may be useful when needing to rapidly seed many PRNGs from a master̕LI PRNG, and to allow forking of PRNGs. It may be considered deterministic.JG The master PRNG should be at least as high quality as the child PRNGs.DA When seeding non-cryptographic child PRNGs, we recommend using aGD different algorithm for the master PRNG (ideally a CSPRNG) to avoidGD correlations between the child PRNGs. If this is not possible (e.g.՘JG forking using small non-crypto PRNGs) ensure that your PRNG has a goodIF mixing function on the output or consider use of a hash function with `from_seed`.JG Note that seeding `XorShiftRng` from another `XorShiftRng` provides anޚFC extreme example of what can go wrong: the new PRNG will be a clone of the parent.țJG PRNG implementations are allowed to assume that a good RNG is providedJG for seeding, and that it is cryptographically secure when appropriate.GD As of `rand` 0.7 / `rand_core` 0.5, implementations overriding thisEB method should ensure the implementation satisfies reproducibility.+ (in prior versions this was not required)."D w d< wxB!#E?< Create a new PRNG seeded from a potentially fallible `Rng`.Π֠FC See [`from_rng`][SeedableRng::from_rng] docs for more information.d #ٞ š# T #x!#ħ?< Creates a new instance of the RNG seeded via [`getrandom`].KH This method is the recommended way to construct non-deterministic PRNGs&# since it is convenient and secure.QN Note that this method may panic on (extremely unlikely) [`getrandom`] errors.FC If it's not desirable, use the [`try_from_os_rng`] method instead.JG In case the overhead of using [`getrandom`] to seed *many* PRNGs is an96 issue, one may prefer to seed from a local PRNG, e.g.%" `from_rng(rand::rng()).unwrap()`.dPM If [`getrandom`] is unable to provide secure entropy this method will panic.,) [`getrandom`]: https://docs.rs/getrandomΨ52 [`try_from_os_rng`]: SeedableRng::try_from_os_rng  8< 7DԈ\ 6ڪQN Creates a new instance of the RNG seeded via [`getrandom`] without unwrapping# potential [`getrandom`] errors.ثJ9*' `from_rng(&mut rand::rng()).unwrap()`.,׭ ڭ 8<ۭ 7Dխ|լ5ƯZW Adapter that enables reading through a [`io::Read`](std::io::Read) from a [`RngCore`].t # Exampleslư # use std::{io, io::Read}; # use std::fs::File;)& # use rand_core::{OsRng, TryRngCore};li io::copy(&mut OsRng.read_adapter().take(100), &mut File::create("/tmp/random.bytes").unwrap()).unwrap();<  8< 7,tIJ ײTڲ#+kGxjo#+kGxjoӲnpc, #D  8< 7,8 T$C$ $ e  8#$0v,ѕýF  8< 7,8 T$`B $ ``` ]`0]9ֹ`/  8#$ǝ&$FC A wrapper type implementing [`RngCore`] for some type implementingPM [`BlockRngCore`] with `u32` array buffer; i.e. this can be used to implement/, a full RNG from just a `generate` function.MJ The `core` field may be accessed directly but the results buffer may not.41 PRNG implementations can simply use a type aliasGD (`pub type MyRng = BlockRng;`) but might prefer to use aLI wrapper type (`pub struct MyRng(BlockRng);`); the latter mustJG re-implement `RngCore` but hides the implementation details and allows0- extra functionality to be defined on the RNG41 (e.g. `impl MyRng { fn set_stream(...){...} }`).OL `BlockRng` has heavily optimized implementations of the [`RngCore`] methods63 reading values from the results buffer, as well asHE calling [`BlockRngCore::generate`] directly on the output array whenHE [`fill_bytes`] is called on a large array. These methods also handle>; the bookkeeping of when to generate a new batch of values.OL No whole generated `u32` values are thrown away and all values are consumedGD in-order. [`next_u32`] simply takes the next available `u32` value.DA [`next_u64`] is implemented by combining two `u32` values, least MJ significant first. [`fill_bytes`] consume a whole number of `u32` values, WT converting each `u32` to a byte slice in little-endian order. If the requested byte!@= length is not a multiple of 4, some bytes will be discarded.!"NK See also [`BlockRng64`] which uses `u64` array buffers. Currently there is"-* no direct support for other buffer types."#GD For easy initialization `BlockRng` also implements [`SeedableRng`].#####݄$'D& &d&L}q1(*&<&(d&,&(\''EB The *core* part of the RNG, implementing the `generate` function.$'@@%@2(@Y\@@ $ ,$O/FFFPM [`BlockRngCore`] with `u64` array buffer; i.e. this can be used to implementG/ÚGGPM This is similar to [`BlockRng`], but specialized for algorithms that operateH on `u64` values.HHOL No whole generated `u64` values are thrown away and all values are consumedIGD in-order. [`next_u64`] simply takes the next available `u64` value.IOL [`next_u32`] is however a bit special: half of a `u64` is consumed, leavingJMJ the other half in the buffer. If the next function called is [`next_u32`]KGD then the other half is then consumed, however both [`next_u64`] andKLI [`fill_bytes`] discard the rest of any half-consumed `u64`s when called.LLSP [`fill_bytes`] consumes a whole number of `u64` values. If the requested lengthM96 is not a multiple of 8, some bytes will be discarded.MM#M#݄N'TO OdOaL_w*,On, 2,b,]a,i`, G,_,],\,\,3\, P,,Y,X,dX, \,c,T,T,T, e,f,X>,!8,6,,k-, ,ٶ,+, ,,7",,,,3,9,{,<,C,I,,,,, , ,i,0 , , , ,,,t,z,,},0,6,3,9,1q~impls::next_u64_via_fillimpls::next_u32_via_fillstd::iohttps://docs.rs/rand core::convert `impls::next_u64_via_u32RngCore::next_u64SeedableRng::try_from_os_rngRngCore::next_u32~https://docs.rs/getrandomcore::convert::Infallible} SeedableRng::from_rngrand /https://docs.rs/rand/latest/rand/trait.Rng.html G    rand::Rng std::io::Read f  InfallibleTryRngCore::unwrap_errioio::Read |RngCore::fill_bytesimpls::fill_bytes_via_next K c I9 crate::block crate::block::BlockRngCore    ~ |BlockRngCore::generate}std::io::Error"https://crates.io/crates/getrandomPRNG2https://doc.rust-lang.org/std/io/struct.Error.html1https://rust-random.github.io/book/guide-gen.htmlstd::io::Error::raw_os_error() |J    JKJJKJ    JKJJK|J    JKJJKBlockRngcore result_len index5assertion failed: index < self.results.as_ref().len()5 BlockRng64 half_used ,assertion failed: src.len() >= 4 * dst.len(),+called `Result::unwrap()` on an `Err` value+,assertion failed: src.len() >= 8 * dst.len(),OsRngOsError UnwrapErr UnwrapMut from_os_rng failed:  RNG error:  ReadAdapter ƄʆֆƇ%lǕ Wk'}j3 @CFC8?75{jf1=0ّW<BX E??*&_ W;._ϒۙC0Ӫ j!U%AEIS;G qH= k6@swBFu(: ?[=ěۑh  7gZ!ѱ MCdИ,߿FPdC4F 5k*3Rp pټ/*(+su#Pn阱_{ [MʴA렛:|6/k$W 2&6KMMbҺ>D<ݡл :BۃuftaMpBm X9@uۙvˢK,-,%}/;8ISțϙ8A#pwLSz@;iY17'D`z+ң#w *)!@jW۲TݥӜz5 F樢ŷS1q%\ IpNPIּ>]Qժ*KxzWGS;$,IԌvq_g?'._ОPGXY H PUQzc>g县;i; +9Ua!󬪕-Je*enZEGKl܈bW9hG$a ZIe)o+YZѯf{*(h']Vu!{VeXRTg1k_.n*7W}'f0Nd!@hg63(Tv8W̿OvT . /e(QB8CV~#;D AcO@: HkiSK*DKxF"V;*~8bHvߔ6$܆_vΑ*A gҢ9& /~R_nnxFKv~4N3e+. mB3o|}Өp iDCϙhqؿƲfn&UCfX]YԋVi.0>˰t"qgd ؽi&%;B( Ofl5TS#0k)mM7Ϊj鷑Lly(Tz`+/j:L~4 r,H\"ҽԞZHZ1`.A ť߇ZǮXppR@3q x% q1N:8†I&Q]Up<-7ǹȥ@l݃.*MOרSF>8ڴ}h2{8&Z284(ilD52"qƈ!rrIh%_mH0*D <}E'ba2lKj#LX T}D[{GIuE;+TܵU`_aA3mN`0RSYMR-R:qőU=0:ƐDb˞6vuY{ Ίt.fNVƓ!{Y;umpv6LOP_;[:c/Nޏܡs1^-''՜-]'BHJW]=Cj;Ûg+ J̼RLؚsNW(:':޴/8]^]l/.| e+!2lc{˗4:2%a!C[oGd2Jn9v,o3Oow 1L? 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