Bug 1600433 - Update pkcs11 to get rid of rustc-serialize and old rand version. r=keeler

I want to start updating gecko to rand 0.7, and it'd be silly having three rand
versions in tree.

This uses my git repo while I wait for upstream to merge my PR
(https://github.com/mheese/rust-pkcs11/pull/16).

That PR is the only difference from upstream.

Differential Revision: https://phabricator.services.mozilla.com/D55351

--HG--
rename : third_party/rust/num-bigint/src/tests/bigint.rs => third_party/rust/num-bigint/tests/bigint.rs
rename : third_party/rust/num-bigint/src/tests/biguint.rs => third_party/rust/num-bigint/tests/biguint.rs
extra : moz-landing-system : lando
This commit is contained in:
Emilio Cobos Álvarez 2019-12-04 19:13:52 +00:00
Родитель 7229b5803b
Коммит b0f38aab88
106 изменённых файлов: 7684 добавлений и 17216 удалений

Просмотреть файл

@ -32,6 +32,11 @@ branch = "rust_1_32"
git = "https://github.com/hsivonen/packed_simd"
replace-with = "vendored-sources"
[source."https://github.com/emilio/rust-pkcs11"]
branch = "master"
git = "https://github.com/emilio/rust-pkcs11"
replace-with = "vendored-sources"
[source."https://github.com/alexcrichton/mio-named-pipes"]
branch = "master"
git = "https://github.com/alexcrichton/mio-named-pipes"

89
Cargo.lock сгенерированный
Просмотреть файл

@ -35,7 +35,7 @@ name = "app_units"
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@ -4906,7 +4890,6 @@ dependencies = [
"checksum rust_cascade 0.3.4 (registry+https://github.com/rust-lang/crates.io-index)" = "f3fe4900d38dab1ad21a515e44687dd0711e6b0ec5b214a3b1aa8857343bcf3a"
"checksum rustc-demangle 0.1.8 (registry+https://github.com/rust-lang/crates.io-index)" = "76d7ba1feafada44f2d38eed812bd2489a03c0f5abb975799251518b68848649"
"checksum rustc-hash 1.0.1 (registry+https://github.com/rust-lang/crates.io-index)" = "7540fc8b0c49f096ee9c961cda096467dce8084bec6bdca2fc83895fd9b28cb8"
"checksum rustc-serialize 0.3.24 (registry+https://github.com/rust-lang/crates.io-index)" = "dcf128d1287d2ea9d80910b5f1120d0b8eede3fbf1abe91c40d39ea7d51e6fda"
"checksum rustc_version 0.2.3 (registry+https://github.com/rust-lang/crates.io-index)" = "138e3e0acb6c9fb258b19b67cb8abd63c00679d2851805ea151465464fe9030a"
"checksum ryu 0.2.4 (registry+https://github.com/rust-lang/crates.io-index)" = "fd0568787116e13c652377b6846f5931454a363a8fdf8ae50463ee40935b278b"
"checksum safemem 0.3.0 (registry+https://github.com/rust-lang/crates.io-index)" = "8dca453248a96cb0749e36ccdfe2b0b4e54a61bfef89fb97ec621eb8e0a93dd9"

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@ -12,7 +12,8 @@ byteorder = "1.3"
env_logger = {version = "0.6", default-features = false } # disable `regex` to reduce code size
lazy_static = "1"
log = "0.4"
pkcs11 = "0.4"
# Waiting for https://github.com/mheese/rust-pkcs11/pull/16
pkcs11 = {git = "https://github.com/emilio/rust-pkcs11"}
sha2 = "0.8"
[target."cfg(target_os = \"windows\")".dependencies.winapi]

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@ -1 +1 @@
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47
third_party/rust/num-bigint/Cargo.toml поставляемый
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@ -3,7 +3,7 @@
# When uploading crates to the registry Cargo will automatically
# "normalize" Cargo.toml files for maximal compatibility
# with all versions of Cargo and also rewrite `path` dependencies
# to registry (e.g. crates.io) dependencies
# to registry (e.g., crates.io) dependencies
#
# If you believe there's an error in this file please file an
# issue against the rust-lang/cargo repository. If you're
@ -12,8 +12,9 @@
[package]
name = "num-bigint"
version = "0.1.44"
version = "0.2.3"
authors = ["The Rust Project Developers"]
build = "build.rs"
description = "Big integer implementation for Rust"
homepage = "https://github.com/rust-num/num-bigint"
documentation = "https://docs.rs/num-bigint"
@ -22,6 +23,8 @@ keywords = ["mathematics", "numerics", "bignum"]
categories = ["algorithms", "data-structures", "science"]
license = "MIT/Apache-2.0"
repository = "https://github.com/rust-num/num-bigint"
[package.metadata.docs.rs]
features = ["std", "serde", "rand", "quickcheck"]
[[bench]]
name = "bigint"
@ -32,31 +35,47 @@ name = "factorial"
[[bench]]
name = "gcd"
[[bench]]
name = "roots"
[[bench]]
name = "shootout-pidigits"
harness = false
[dependencies.num-integer]
version = "0.1.36"
version = "0.1.39"
default-features = false
[dependencies.num-traits]
version = "0.2.0"
features = ["std"]
version = "0.2.7"
default-features = false
[dependencies.quickcheck]
version = "0.8"
optional = true
default-features = false
[dependencies.quickcheck_macros]
version = "0.8"
optional = true
default-features = false
[dependencies.rand]
version = ">= 0.3.14, < 0.5.0"
optional = true
[dependencies.rustc-serialize]
version = "0.3.19"
version = "0.5"
features = ["std"]
optional = true
default-features = false
[dependencies.serde]
version = ">= 0.7.0, < 0.9.0"
version = "1.0"
features = ["std"]
optional = true
[dev-dependencies.rand]
version = ">= 0.3.14, < 0.5.0"
default-features = false
[dev-dependencies.serde_test]
version = "1.0"
[build-dependencies.autocfg]
version = "0.1.2"
[features]
default = ["rand", "rustc-serialize"]
default = ["std"]
i128 = ["num-integer/i128", "num-traits/i128"]
std = ["num-integer/std", "num-traits/std"]

23
third_party/rust/num-bigint/README.md поставляемый
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@ -2,7 +2,7 @@
[![crate](https://img.shields.io/crates/v/num-bigint.svg)](https://crates.io/crates/num-bigint)
[![documentation](https://docs.rs/num-bigint/badge.svg)](https://docs.rs/num-bigint)
![minimum rustc 1.8](https://img.shields.io/badge/rustc-1.8+-red.svg)
![minimum rustc 1.15](https://img.shields.io/badge/rustc-1.15+-red.svg)
[![Travis status](https://travis-ci.org/rust-num/num-bigint.svg?branch=master)](https://travis-ci.org/rust-num/num-bigint)
Big integer types for Rust, `BigInt` and `BigUint`.
@ -13,7 +13,7 @@ Add this to your `Cargo.toml`:
```toml
[dependencies]
num-bigint = "0.1"
num-bigint = "0.2"
```
and this to your crate root:
@ -22,13 +22,24 @@ and this to your crate root:
extern crate num_bigint;
```
## Features
The `std` crate feature is mandatory and enabled by default. If you depend on
`num-bigint` with `default-features = false`, you must manually enable the
`std` feature yourself. In the future, we hope to support `#![no_std]` with
the `alloc` crate when `std` is not enabled.
Implementations for `i128` and `u128` are only available with Rust 1.26 and
later. The build script automatically detects this, but you can make it
mandatory by enabling the `i128` crate feature.
## Releases
Release notes are available in [RELEASES.md](RELEASES.md).
## Compatibility
The `num-bigint` crate is tested for rustc 1.8 and greater.
The `num-bigint` crate is tested for rustc 1.15 and greater.
## Alternatives
@ -38,11 +49,11 @@ table offers a brief comparison to a few alternatives.
| Crate | License | Min rustc | Implementation |
| :--------------- | :------------- | :-------- | :------------- |
| **`num-bigint`** | MIT/Apache-2.0 | 1.8 | pure rust |
| **`num-bigint`** | MIT/Apache-2.0 | 1.15 | pure rust |
| [`ramp`] | Apache-2.0 | nightly | rust and inline assembly |
| [`rug`] | LGPL-3.0+ | 1.18 | bundles [GMP] via [`gmp-mpfr-sys`] |
| [`rug`] | LGPL-3.0+ | 1.31 | bundles [GMP] via [`gmp-mpfr-sys`] |
| [`rust-gmp`] | MIT | stable? | links to [GMP] |
| [`apint`] | MIT/Apache-2.0 | nightly | pure rust (unfinished) |
| [`apint`] | MIT/Apache-2.0 | 1.26 | pure rust (unfinished) |
[GMP]: https://gmplib.org/
[`gmp-mpfr-sys`]: https://crates.io/crates/gmp-mpfr-sys

99
third_party/rust/num-bigint/RELEASES.md поставляемый
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@ -1,4 +1,96 @@
# Release 0.1.44
# Release 0.2.3 (2019-09-03)
- [`Pow` is now implemented for `BigUint` exponents][77].
- [The optional `quickcheck` feature enables implementations of `Arbitrary`][99].
- See the [full comparison][compare-0.2.3] for performance enhancements and more!
[77]: https://github.com/rust-num/num-bigint/pull/77
[99]: https://github.com/rust-num/num-bigint/pull/99
[compare-0.2.3]: https://github.com/rust-num/num-bigint/compare/num-bigint-0.2.2...num-bigint-0.2.3
**Contributors**: @cuviper, @lcnr, @maxbla, @mikelodder7, @mikong,
@TheLetterTheta, @tspiteri, @XAMPPRocky, @youknowone
# Release 0.2.2 (2018-12-14)
- [The `Roots` implementations now use better initial guesses][71].
- [Fixed `to_signed_bytes_*` for some positive numbers][72], where the
most-significant byte is `0x80` and the rest are `0`.
[71]: https://github.com/rust-num/num-bigint/pull/71
[72]: https://github.com/rust-num/num-bigint/pull/72
**Contributors**: @cuviper, @leodasvacas
# Release 0.2.1 (2018-11-02)
- [`RandBigInt` now uses `Rng::fill_bytes`][53] to improve performance, instead
of repeated `gen::<u32>` calls. The also affects the implementations of the
other `rand` traits. This may potentially change the values produced by some
seeded RNGs on previous versions, but the values were tested to be stable
with `ChaChaRng`, `IsaacRng`, and `XorShiftRng`.
- [`BigInt` and `BigUint` now implement `num_integer::Roots`][56].
- [`BigInt` and `BigUint` now implement `num_traits::Pow`][54].
- [`BigInt` and `BigUint` now implement operators with 128-bit integers][64].
**Contributors**: @cuviper, @dignifiedquire, @mancabizjak, @Robbepop,
@TheIronBorn, @thomwiggers
[53]: https://github.com/rust-num/num-bigint/pull/53
[54]: https://github.com/rust-num/num-bigint/pull/54
[56]: https://github.com/rust-num/num-bigint/pull/56
[64]: https://github.com/rust-num/num-bigint/pull/64
# Release 0.2.0 (2018-05-25)
### Enhancements
- [`BigInt` and `BigUint` now implement `Product` and `Sum`][22] for iterators
of any item that we can `Mul` and `Add`, respectively. For example, a
factorial can now be simply: `let f: BigUint = (1u32..1000).product();`
- [`BigInt` now supports two's-complement logic operations][26], namely
`BitAnd`, `BitOr`, `BitXor`, and `Not`. These act conceptually as if each
number had an infinite prefix of `0` or `1` bits for positive or negative.
- [`BigInt` now supports assignment operators][41] like `AddAssign`.
- [`BigInt` and `BigUint` now support conversions with `i128` and `u128`][44],
if sufficient compiler support is detected.
- [`BigInt` and `BigUint` now implement rand's `SampleUniform` trait][48], and
[a custom `RandomBits` distribution samples by bit size][49].
- The release also includes other miscellaneous improvements to performance.
### Breaking Changes
- [`num-bigint` now requires rustc 1.15 or greater][23].
- [The crate now has a `std` feature, and won't build without it][46]. This is
in preparation for someday supporting `#![no_std]` with `alloc`.
- [The `serde` dependency has been updated to 1.0][24], still disabled by
default. The `rustc-serialize` crate is no longer supported by `num-bigint`.
- [The `rand` dependency has been updated to 0.5][48], now disabled by default.
This requires rustc 1.22 or greater for `rand`'s own requirement.
- [`Shr for BigInt` now rounds down][8] rather than toward zero, matching the
behavior of the primitive integers for negative values.
- [`ParseBigIntError` is now an opaque type][37].
- [The `big_digit` module is no longer public][38], nor are the `BigDigit` and
`DoubleBigDigit` types and `ZERO_BIG_DIGIT` constant that were re-exported in
the crate root. Public APIs which deal in digits, like `BigUint::from_slice`,
will now always be base-`u32`.
**Contributors**: @clarcharr, @cuviper, @dodomorandi, @tiehuis, @tspiteri
[8]: https://github.com/rust-num/num-bigint/pull/8
[22]: https://github.com/rust-num/num-bigint/pull/22
[23]: https://github.com/rust-num/num-bigint/pull/23
[24]: https://github.com/rust-num/num-bigint/pull/24
[26]: https://github.com/rust-num/num-bigint/pull/26
[37]: https://github.com/rust-num/num-bigint/pull/37
[38]: https://github.com/rust-num/num-bigint/pull/38
[41]: https://github.com/rust-num/num-bigint/pull/41
[44]: https://github.com/rust-num/num-bigint/pull/44
[46]: https://github.com/rust-num/num-bigint/pull/46
[48]: https://github.com/rust-num/num-bigint/pull/48
[49]: https://github.com/rust-num/num-bigint/pull/49
# Release 0.1.44 (2018-05-14)
- [Division with single-digit divisors is now much faster.][42]
- The README now compares [`ramp`, `rug`, `rust-gmp`][20], and [`apint`][21].
@ -9,7 +101,7 @@
[21]: https://github.com/rust-num/num-bigint/pull/21
[42]: https://github.com/rust-num/num-bigint/pull/42
# Release 0.1.43
# Release 0.1.43 (2018-02-08)
- [The new `BigInt::modpow`][18] performs signed modular exponentiation, using
the existing `BigUint::modpow` and rounding negatives similar to `mod_floor`.
@ -18,7 +110,8 @@
[18]: https://github.com/rust-num/num-bigint/pull/18
# Release 0.1.42
# Release 0.1.42 (2018-02-07)
- [num-bigint now has its own source repository][num-356] at [rust-num/num-bigint][home].
- [`lcm` now avoids creating a large intermediate product][num-350].

114
third_party/rust/num-bigint/benches/bigint.rs поставляемый
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@ -1,18 +1,23 @@
#![feature(test)]
#![cfg(feature = "rand")]
extern crate test;
extern crate num_bigint;
extern crate num_integer;
extern crate num_traits;
extern crate rand;
extern crate test;
use num_bigint::{BigInt, BigUint, RandBigInt};
use num_traits::{FromPrimitive, Num, One, Pow, Zero};
use rand::{SeedableRng, StdRng};
use std::mem::replace;
use test::Bencher;
use num_bigint::{BigInt, BigUint, RandBigInt};
use num_traits::{Zero, One, FromPrimitive, Num};
use rand::{SeedableRng, StdRng};
fn get_rng() -> StdRng {
let seed: &[_] = &[1, 2, 3, 4];
let mut seed = [0; 32];
for i in 1..32 {
seed[usize::from(i)] = i;
}
SeedableRng::from_seed(seed)
}
@ -32,9 +37,17 @@ fn divide_bench(b: &mut Bencher, xbits: usize, ybits: usize) {
b.iter(|| &x / &y);
}
fn remainder_bench(b: &mut Bencher, xbits: usize, ybits: usize) {
let mut rng = get_rng();
let x = rng.gen_bigint(xbits);
let y = rng.gen_bigint(ybits);
b.iter(|| &x % &y);
}
fn factorial(n: usize) -> BigUint {
let mut f: BigUint = One::one();
for i in 1..(n+1) {
for i in 1..(n + 1) {
let bu: BigUint = FromPrimitive::from_usize(i).unwrap();
f = f * bu;
}
@ -99,6 +112,21 @@ fn divide_2(b: &mut Bencher) {
divide_bench(b, 1 << 16, 1 << 12);
}
#[bench]
fn remainder_0(b: &mut Bencher) {
remainder_bench(b, 1 << 8, 1 << 6);
}
#[bench]
fn remainder_1(b: &mut Bencher) {
remainder_bench(b, 1 << 12, 1 << 8);
}
#[bench]
fn remainder_2(b: &mut Bencher) {
remainder_bench(b, 1 << 16, 1 << 12);
}
#[bench]
fn factorial_100(b: &mut Bencher) {
b.iter(|| factorial(100));
@ -210,6 +238,52 @@ fn from_str_radix_36(b: &mut Bencher) {
from_str_radix_bench(b, 36);
}
fn rand_bench(b: &mut Bencher, bits: usize) {
let mut rng = get_rng();
b.iter(|| rng.gen_bigint(bits));
}
#[bench]
fn rand_64(b: &mut Bencher) {
rand_bench(b, 1 << 6);
}
#[bench]
fn rand_256(b: &mut Bencher) {
rand_bench(b, 1 << 8);
}
#[bench]
fn rand_1009(b: &mut Bencher) {
rand_bench(b, 1009);
}
#[bench]
fn rand_2048(b: &mut Bencher) {
rand_bench(b, 1 << 11);
}
#[bench]
fn rand_4096(b: &mut Bencher) {
rand_bench(b, 1 << 12);
}
#[bench]
fn rand_8192(b: &mut Bencher) {
rand_bench(b, 1 << 13);
}
#[bench]
fn rand_65536(b: &mut Bencher) {
rand_bench(b, 1 << 16);
}
#[bench]
fn rand_131072(b: &mut Bencher) {
rand_bench(b, 1 << 17);
}
#[bench]
fn shl(b: &mut Bencher) {
let n = BigUint::one() << 1000;
@ -250,27 +324,27 @@ fn pow_bench(b: &mut Bencher) {
for i in 2..upper + 1 {
for j in 2..upper + 1 {
let i_big = BigUint::from_usize(i).unwrap();
num_traits::pow(i_big, j);
i_big.pow(j);
}
}
});
}
/// This modulus is the prime from the 2048-bit MODP DH group:
/// https://tools.ietf.org/html/rfc3526#section-3
const RFC3526_2048BIT_MODP_GROUP: &'static str = "\
FFFFFFFF_FFFFFFFF_C90FDAA2_2168C234_C4C6628B_80DC1CD1\
29024E08_8A67CC74_020BBEA6_3B139B22_514A0879_8E3404DD\
EF9519B3_CD3A431B_302B0A6D_F25F1437_4FE1356D_6D51C245\
E485B576_625E7EC6_F44C42E9_A637ED6B_0BFF5CB6_F406B7ED\
EE386BFB_5A899FA5_AE9F2411_7C4B1FE6_49286651_ECE45B3D\
C2007CB8_A163BF05_98DA4836_1C55D39A_69163FA8_FD24CF5F\
83655D23_DCA3AD96_1C62F356_208552BB_9ED52907_7096966D\
670C354E_4ABC9804_F1746C08_CA18217C_32905E46_2E36CE3B\
E39E772C_180E8603_9B2783A2_EC07A28F_B5C55DF0_6F4C52C9\
DE2BCBF6_95581718_3995497C_EA956AE5_15D22618_98FA0510\
15728E5A_8AACAA68_FFFFFFFF_FFFFFFFF";
const RFC3526_2048BIT_MODP_GROUP: &'static str =
"\
FFFFFFFF_FFFFFFFF_C90FDAA2_2168C234_C4C6628B_80DC1CD1\
29024E08_8A67CC74_020BBEA6_3B139B22_514A0879_8E3404DD\
EF9519B3_CD3A431B_302B0A6D_F25F1437_4FE1356D_6D51C245\
E485B576_625E7EC6_F44C42E9_A637ED6B_0BFF5CB6_F406B7ED\
EE386BFB_5A899FA5_AE9F2411_7C4B1FE6_49286651_ECE45B3D\
C2007CB8_A163BF05_98DA4836_1C55D39A_69163FA8_FD24CF5F\
83655D23_DCA3AD96_1C62F356_208552BB_9ED52907_7096966D\
670C354E_4ABC9804_F1746C08_CA18217C_32905E46_2E36CE3B\
E39E772C_180E8603_9B2783A2_EC07A28F_B5C55DF0_6F4C52C9\
DE2BCBF6_95581718_3995497C_EA956AE5_15D22618_98FA0510\
15728E5A_8AACAA68_FFFFFFFF_FFFFFFFF";
#[bench]
fn modpow(b: &mut Bencher) {

13
third_party/rust/num-bigint/benches/factorial.rs поставляемый Executable file → Normal file
Просмотреть файл

@ -11,7 +11,11 @@ use test::Bencher;
#[bench]
fn factorial_mul_biguint(b: &mut Bencher) {
b.iter(|| (1u32..1000).map(BigUint::from).fold(BigUint::one(), Mul::mul));
b.iter(|| {
(1u32..1000)
.map(BigUint::from)
.fold(BigUint::one(), Mul::mul)
});
}
#[bench]
@ -25,7 +29,12 @@ fn factorial_mul_u32(b: &mut Bencher) {
#[bench]
fn factorial_div_biguint(b: &mut Bencher) {
let n: BigUint = (1u32..1000).fold(BigUint::one(), Mul::mul);
b.iter(|| (1u32..1000).rev().map(BigUint::from).fold(n.clone(), Div::div));
b.iter(|| {
(1u32..1000)
.rev()
.map(BigUint::from)
.fold(n.clone(), Div::div)
});
}
#[bench]

12
third_party/rust/num-bigint/benches/gcd.rs поставляемый
Просмотреть файл

@ -1,19 +1,23 @@
#![feature(test)]
#![cfg(feature = "rand")]
extern crate test;
extern crate num_bigint;
extern crate num_integer;
extern crate num_traits;
extern crate rand;
extern crate test;
use test::Bencher;
use num_bigint::{BigUint, RandBigInt};
use num_integer::Integer;
use num_traits::Zero;
use rand::{SeedableRng, StdRng};
use test::Bencher;
fn get_rng() -> StdRng {
let seed: &[_] = &[1, 2, 3, 4];
let mut seed = [0; 32];
for i in 1..32 {
seed[usize::from(i)] = i;
}
SeedableRng::from_seed(seed)
}
@ -27,7 +31,6 @@ fn bench(b: &mut Bencher, bits: usize, gcd: fn(&BigUint, &BigUint) -> BigUint) {
b.iter(|| gcd(&x, &y));
}
fn euclid(x: &BigUint, y: &BigUint) -> BigUint {
// Use Euclid's algorithm
let mut m = x.clone();
@ -60,7 +63,6 @@ fn gcd_euclid_4096(b: &mut Bencher) {
bench(b, 4096, euclid);
}
// Integer for BigUint now uses Stein for gcd
#[bench]

176
third_party/rust/num-bigint/benches/roots.rs поставляемый Normal file
Просмотреть файл

@ -0,0 +1,176 @@
#![feature(test)]
#![cfg(feature = "rand")]
extern crate num_bigint;
extern crate num_traits;
extern crate rand;
extern crate test;
use num_bigint::{BigUint, RandBigInt};
use num_traits::Pow;
use rand::{SeedableRng, StdRng};
use test::Bencher;
// The `big64` cases demonstrate the speed of cases where the value
// can be converted to a `u64` primitive for faster calculation.
//
// The `big1k` cases demonstrate those that can convert to `f64` for
// a better initial guess of the actual value.
//
// The `big2k` and `big4k` cases are too big for `f64`, and use a simpler guess.
fn get_rng() -> StdRng {
let mut seed = [0; 32];
for i in 1..32 {
seed[usize::from(i)] = i;
}
SeedableRng::from_seed(seed)
}
fn check(x: &BigUint, n: u32) {
let root = x.nth_root(n);
if n == 2 {
assert_eq!(root, x.sqrt())
} else if n == 3 {
assert_eq!(root, x.cbrt())
}
let lo = root.pow(n);
assert!(lo <= *x);
assert_eq!(lo.nth_root(n), root);
assert_eq!((&lo - 1u32).nth_root(n), &root - 1u32);
let hi = (&root + 1u32).pow(n);
assert!(hi > *x);
assert_eq!(hi.nth_root(n), &root + 1u32);
assert_eq!((&hi - 1u32).nth_root(n), root);
}
fn bench_sqrt(b: &mut Bencher, bits: usize) {
let x = get_rng().gen_biguint(bits);
eprintln!("bench_sqrt({})", x);
check(&x, 2);
b.iter(|| x.sqrt());
}
#[bench]
fn big64_sqrt(b: &mut Bencher) {
bench_sqrt(b, 64);
}
#[bench]
fn big1k_sqrt(b: &mut Bencher) {
bench_sqrt(b, 1024);
}
#[bench]
fn big2k_sqrt(b: &mut Bencher) {
bench_sqrt(b, 2048);
}
#[bench]
fn big4k_sqrt(b: &mut Bencher) {
bench_sqrt(b, 4096);
}
fn bench_cbrt(b: &mut Bencher, bits: usize) {
let x = get_rng().gen_biguint(bits);
eprintln!("bench_cbrt({})", x);
check(&x, 3);
b.iter(|| x.cbrt());
}
#[bench]
fn big64_cbrt(b: &mut Bencher) {
bench_cbrt(b, 64);
}
#[bench]
fn big1k_cbrt(b: &mut Bencher) {
bench_cbrt(b, 1024);
}
#[bench]
fn big2k_cbrt(b: &mut Bencher) {
bench_cbrt(b, 2048);
}
#[bench]
fn big4k_cbrt(b: &mut Bencher) {
bench_cbrt(b, 4096);
}
fn bench_nth_root(b: &mut Bencher, bits: usize, n: u32) {
let x = get_rng().gen_biguint(bits);
eprintln!("bench_{}th_root({})", n, x);
check(&x, n);
b.iter(|| x.nth_root(n));
}
#[bench]
fn big64_nth_10(b: &mut Bencher) {
bench_nth_root(b, 64, 10);
}
#[bench]
fn big1k_nth_10(b: &mut Bencher) {
bench_nth_root(b, 1024, 10);
}
#[bench]
fn big1k_nth_100(b: &mut Bencher) {
bench_nth_root(b, 1024, 100);
}
#[bench]
fn big1k_nth_1000(b: &mut Bencher) {
bench_nth_root(b, 1024, 1000);
}
#[bench]
fn big1k_nth_10000(b: &mut Bencher) {
bench_nth_root(b, 1024, 10000);
}
#[bench]
fn big2k_nth_10(b: &mut Bencher) {
bench_nth_root(b, 2048, 10);
}
#[bench]
fn big2k_nth_100(b: &mut Bencher) {
bench_nth_root(b, 2048, 100);
}
#[bench]
fn big2k_nth_1000(b: &mut Bencher) {
bench_nth_root(b, 2048, 1000);
}
#[bench]
fn big2k_nth_10000(b: &mut Bencher) {
bench_nth_root(b, 2048, 10000);
}
#[bench]
fn big4k_nth_10(b: &mut Bencher) {
bench_nth_root(b, 4096, 10);
}
#[bench]
fn big4k_nth_100(b: &mut Bencher) {
bench_nth_root(b, 4096, 100);
}
#[bench]
fn big4k_nth_1000(b: &mut Bencher) {
bench_nth_root(b, 4096, 1000);
}
#[bench]
fn big4k_nth_10000(b: &mut Bencher) {
bench_nth_root(b, 4096, 10000);
}

Просмотреть файл

@ -42,12 +42,12 @@ extern crate num_bigint;
extern crate num_integer;
extern crate num_traits;
use std::str::FromStr;
use std::io;
use std::str::FromStr;
use num_bigint::BigInt;
use num_integer::Integer;
use num_traits::{FromPrimitive, ToPrimitive, One, Zero};
use num_traits::{FromPrimitive, One, ToPrimitive, Zero};
struct Context {
numer: BigInt,
@ -69,11 +69,13 @@ impl Context {
}
fn extract_digit(&self) -> i32 {
if self.numer > self.accum {return -1;}
let (q, r) =
(&self.numer * Context::from_i32(3) + &self.accum)
.div_rem(&self.denom);
if r + &self.numer >= self.denom {return -1;}
if self.numer > self.accum {
return -1;
}
let (q, r) = (&self.numer * Context::from_i32(3) + &self.accum).div_rem(&self.denom);
if r + &self.numer >= self.denom {
return -1;
}
q.to_i32().unwrap()
}
@ -92,29 +94,35 @@ impl Context {
}
}
fn pidigits(n: isize, out: &mut io::Write) -> io::Result<()> {
fn pidigits(n: isize, out: &mut dyn io::Write) -> io::Result<()> {
let mut k = 0;
let mut context = Context::new();
for i in 1..(n+1) {
for i in 1..(n + 1) {
let mut d;
loop {
k += 1;
context.next_term(k);
d = context.extract_digit();
if d != -1 {break;}
if d != -1 {
break;
}
}
try!(write!(out, "{}", d));
if i % 10 == 0 { try!(write!(out, "\t:{}\n", i)); }
write!(out, "{}", d)?;
if i % 10 == 0 {
write!(out, "\t:{}\n", i)?;
}
context.eliminate_digit(d);
}
let m = n % 10;
if m != 0 {
for _ in m..10 { try!(write!(out, " ")); }
try!(write!(out, "\t:{}\n", n));
for _ in m..10 {
write!(out, " ")?;
}
write!(out, "\t:{}\n", n)?;
}
Ok(())
}
@ -126,7 +134,7 @@ fn main() {
let n = if args.len() < 2 {
DEFAULT_DIGITS
} else if args[1] == "--bench" {
return pidigits(DEFAULT_DIGITS, &mut std::io::sink()).unwrap()
return pidigits(DEFAULT_DIGITS, &mut std::io::sink()).unwrap();
} else {
FromStr::from_str(&args[1]).unwrap()
};

14
third_party/rust/num-bigint/build.rs поставляемый Normal file
Просмотреть файл

@ -0,0 +1,14 @@
extern crate autocfg;
use std::env;
fn main() {
let ac = autocfg::new();
if ac.probe_type("i128") {
println!("cargo:rustc-cfg=has_i128");
} else if env::var_os("CARGO_FEATURE_I128").is_some() {
panic!("i128 support was not detected!");
}
autocfg::rerun_path(file!());
}

11
third_party/rust/num-bigint/ci/rustup.sh поставляемый
Просмотреть файл

@ -1,19 +1,12 @@
#!/bin/sh
# Use rustup to locally run the same suite of tests as .travis.yml.
# (You should first install/update 1.8.0, stable, beta, and nightly.)
# (You should first install/update all versions listed below.)
set -ex
export TRAVIS_RUST_VERSION
for TRAVIS_RUST_VERSION in 1.8.0 stable beta nightly; do
for TRAVIS_RUST_VERSION in 1.15.0 1.22.0 1.26.0 stable beta nightly; do
run="rustup run $TRAVIS_RUST_VERSION"
if [ "$TRAVIS_RUST_VERSION" = 1.8.0 ]; then
# rand 0.3.22 started depending on rand 0.4, which requires rustc 1.15
# manually hacking the lockfile due to the limitations of cargo#2773
$run cargo generate-lockfile
$run sed -i -e 's/"rand 0.[34].[0-9]\+/"rand 0.3.20/' Cargo.lock
$run sed -i -e '/^name = "rand"/,/^$/s/version = "0.3.[0-9]\+"/version = "0.3.20"/' Cargo.lock
fi
$run cargo build --verbose
$run $PWD/ci/test_full.sh
done

32
third_party/rust/num-bigint/ci/test_full.sh поставляемый
Просмотреть файл

@ -4,20 +4,36 @@ set -ex
echo Testing num-bigint on rustc ${TRAVIS_RUST_VERSION}
FEATURES="serde"
if [[ "$TRAVIS_RUST_VERSION" =~ ^(nightly|beta|stable|1.31.0|1.26.0|1.22.0)$ ]]; then
FEATURES="$FEATURES rand"
fi
if [[ "$TRAVIS_RUST_VERSION" =~ ^(nightly|beta|stable|1.31.0|1.26.0)$ ]]; then
FEATURES="$FEATURES i128"
fi
if [[ "$TRAVIS_RUST_VERSION" =~ ^(nightly|beta|stable|1.31.0)$ ]]; then
FEATURES="$FEATURES quickcheck quickcheck_macros"
fi
# num-bigint should build and test everywhere.
cargo build --verbose
cargo test --verbose
# It should build with minimal features too.
cargo build --no-default-features
cargo test --no-default-features
cargo build --no-default-features --features="std"
cargo test --no-default-features --features="std"
# Each isolated feature should also work everywhere.
for feature in rand rustc-serialize serde; do
cargo build --verbose --no-default-features --features="$feature"
cargo test --verbose --no-default-features --features="$feature"
for feature in $FEATURES; do
cargo build --verbose --no-default-features --features="std $feature"
cargo test --verbose --no-default-features --features="std $feature"
done
# Downgrade serde and build test the 0.7.0 channel as well
cargo update -p serde --precise 0.7.0
cargo build --verbose --no-default-features --features "serde"
# test all supported features together
cargo build --features="std $FEATURES"
cargo test --features="std $FEATURES"
# make sure benchmarks can be built
if [[ "$TRAVIS_RUST_VERSION" == "nightly" ]]; then
cargo bench --all-features --no-run
fi

358
third_party/rust/num-bigint/src/algorithms.rs поставляемый
Просмотреть файл

@ -1,10 +1,10 @@
use std::borrow::Cow;
use std::cmp;
use std::cmp::Ordering::{self, Less, Greater, Equal};
use std::cmp::Ordering::{self, Equal, Greater, Less};
use std::iter::repeat;
use std::mem;
use traits;
use traits::{Zero, One};
use traits::{One, Zero};
use biguint::BigUint;
@ -12,86 +12,44 @@ use bigint::BigInt;
use bigint::Sign;
use bigint::Sign::{Minus, NoSign, Plus};
#[allow(non_snake_case)]
pub mod big_digit {
/// A `BigDigit` is a `BigUint`'s composing element.
pub type BigDigit = u32;
/// A `DoubleBigDigit` is the internal type used to do the computations. Its
/// size is the double of the size of `BigDigit`.
pub type DoubleBigDigit = u64;
pub const ZERO_BIG_DIGIT: BigDigit = 0;
// `DoubleBigDigit` size dependent
pub const BITS: usize = 32;
pub const BASE: DoubleBigDigit = 1 << BITS;
const LO_MASK: DoubleBigDigit = (-1i32 as DoubleBigDigit) >> BITS;
#[inline]
fn get_hi(n: DoubleBigDigit) -> BigDigit {
(n >> BITS) as BigDigit
}
#[inline]
fn get_lo(n: DoubleBigDigit) -> BigDigit {
(n & LO_MASK) as BigDigit
}
/// Split one `DoubleBigDigit` into two `BigDigit`s.
#[inline]
pub fn from_doublebigdigit(n: DoubleBigDigit) -> (BigDigit, BigDigit) {
(get_hi(n), get_lo(n))
}
/// Join two `BigDigit`s into one `DoubleBigDigit`
#[inline]
pub fn to_doublebigdigit(hi: BigDigit, lo: BigDigit) -> DoubleBigDigit {
(lo as DoubleBigDigit) | ((hi as DoubleBigDigit) << BITS)
}
}
use big_digit::{BigDigit, DoubleBigDigit};
use big_digit::{self, BigDigit, DoubleBigDigit, SignedDoubleBigDigit};
// Generic functions for add/subtract/multiply with carry/borrow:
// Add with carry:
#[inline]
fn adc(a: BigDigit, b: BigDigit, carry: &mut BigDigit) -> BigDigit {
let (hi, lo) = big_digit::from_doublebigdigit((a as DoubleBigDigit) + (b as DoubleBigDigit) +
(*carry as DoubleBigDigit));
*carry = hi;
fn adc(a: BigDigit, b: BigDigit, acc: &mut DoubleBigDigit) -> BigDigit {
*acc += DoubleBigDigit::from(a);
*acc += DoubleBigDigit::from(b);
let lo = *acc as BigDigit;
*acc >>= big_digit::BITS;
lo
}
// Subtract with borrow:
#[inline]
fn sbb(a: BigDigit, b: BigDigit, borrow: &mut BigDigit) -> BigDigit {
let (hi, lo) = big_digit::from_doublebigdigit(big_digit::BASE + (a as DoubleBigDigit) -
(b as DoubleBigDigit) -
(*borrow as DoubleBigDigit));
// hi * (base) + lo == 1*(base) + ai - bi - borrow
// => ai - bi - borrow < 0 <=> hi == 0
*borrow = (hi == 0) as BigDigit;
fn sbb(a: BigDigit, b: BigDigit, acc: &mut SignedDoubleBigDigit) -> BigDigit {
*acc += SignedDoubleBigDigit::from(a);
*acc -= SignedDoubleBigDigit::from(b);
let lo = *acc as BigDigit;
*acc >>= big_digit::BITS;
lo
}
#[inline]
pub fn mac_with_carry(a: BigDigit, b: BigDigit, c: BigDigit, carry: &mut BigDigit) -> BigDigit {
let (hi, lo) = big_digit::from_doublebigdigit((a as DoubleBigDigit) +
(b as DoubleBigDigit) * (c as DoubleBigDigit) +
(*carry as DoubleBigDigit));
*carry = hi;
pub fn mac_with_carry(a: BigDigit, b: BigDigit, c: BigDigit, acc: &mut DoubleBigDigit) -> BigDigit {
*acc += DoubleBigDigit::from(a);
*acc += DoubleBigDigit::from(b) * DoubleBigDigit::from(c);
let lo = *acc as BigDigit;
*acc >>= big_digit::BITS;
lo
}
#[inline]
pub fn mul_with_carry(a: BigDigit, b: BigDigit, carry: &mut BigDigit) -> BigDigit {
let (hi, lo) = big_digit::from_doublebigdigit((a as DoubleBigDigit) * (b as DoubleBigDigit) +
(*carry as DoubleBigDigit));
*carry = hi;
pub fn mul_with_carry(a: BigDigit, b: BigDigit, acc: &mut DoubleBigDigit) -> BigDigit {
*acc += DoubleBigDigit::from(a) * DoubleBigDigit::from(b);
let lo = *acc as BigDigit;
*acc >>= big_digit::BITS;
lo
}
@ -106,7 +64,7 @@ fn div_wide(hi: BigDigit, lo: BigDigit, divisor: BigDigit) -> (BigDigit, BigDigi
debug_assert!(hi < divisor);
let lhs = big_digit::to_doublebigdigit(hi, lo);
let rhs = divisor as DoubleBigDigit;
let rhs = DoubleBigDigit::from(divisor);
((lhs / rhs) as BigDigit, (lhs % rhs) as BigDigit)
}
@ -122,6 +80,16 @@ pub fn div_rem_digit(mut a: BigUint, b: BigDigit) -> (BigUint, BigDigit) {
(a.normalized(), rem)
}
pub fn rem_digit(a: &BigUint, b: BigDigit) -> BigDigit {
let mut rem: DoubleBigDigit = 0;
for &digit in a.data.iter().rev() {
rem = (rem << big_digit::BITS) + DoubleBigDigit::from(digit);
rem %= DoubleBigDigit::from(b);
}
rem as BigDigit
}
// Only for the Add impl:
#[inline]
pub fn __add2(a: &mut [BigDigit], b: &[BigDigit]) -> BigDigit {
@ -137,14 +105,16 @@ pub fn __add2(a: &mut [BigDigit], b: &[BigDigit]) -> BigDigit {
if carry != 0 {
for a in a_hi {
*a = adc(*a, 0, &mut carry);
if carry == 0 { break }
if carry == 0 {
break;
}
}
}
carry
carry as BigDigit
}
/// /Two argument addition of raw slices:
/// Two argument addition of raw slices:
/// a += b
///
/// The caller _must_ ensure that a is big enough to store the result - typically this means
@ -169,33 +139,49 @@ pub fn sub2(a: &mut [BigDigit], b: &[BigDigit]) {
if borrow != 0 {
for a in a_hi {
*a = sbb(*a, 0, &mut borrow);
if borrow == 0 { break }
if borrow == 0 {
break;
}
}
}
// note: we're _required_ to fail on underflow
assert!(borrow == 0 && b_hi.iter().all(|x| *x == 0),
"Cannot subtract b from a because b is larger than a.");
assert!(
borrow == 0 && b_hi.iter().all(|x| *x == 0),
"Cannot subtract b from a because b is larger than a."
);
}
// Only for the Sub impl. `a` and `b` must have same length.
#[inline]
pub fn __sub2rev(a: &[BigDigit], b: &mut [BigDigit]) -> BigDigit {
debug_assert!(b.len() == a.len());
let mut borrow = 0;
for (ai, bi) in a.iter().zip(b) {
*bi = sbb(*ai, *bi, &mut borrow);
}
borrow as BigDigit
}
pub fn sub2rev(a: &[BigDigit], b: &mut [BigDigit]) {
debug_assert!(b.len() >= a.len());
let mut borrow = 0;
let len = cmp::min(a.len(), b.len());
let (a_lo, a_hi) = a.split_at(len);
let (b_lo, b_hi) = b.split_at_mut(len);
for (a, b) in a_lo.iter().zip(b_lo) {
*b = sbb(*a, *b, &mut borrow);
}
let borrow = __sub2rev(a_lo, b_lo);
assert!(a_hi.is_empty());
// note: we're _required_ to fail on underflow
assert!(borrow == 0 && b_hi.iter().all(|x| *x == 0),
"Cannot subtract b from a because b is larger than a.");
assert!(
borrow == 0 && b_hi.iter().all(|x| *x == 0),
"Cannot subtract b from a because b is larger than a."
);
}
pub fn sub_sign(a: &[BigDigit], b: &[BigDigit]) -> (Sign, BigUint) {
@ -242,11 +228,7 @@ pub fn mac_digit(acc: &mut [BigDigit], b: &[BigDigit], c: BigDigit) {
/// Three argument multiply accumulate:
/// acc += b * c
fn mac3(acc: &mut [BigDigit], b: &[BigDigit], c: &[BigDigit]) {
let (x, y) = if b.len() < c.len() {
(b, c)
} else {
(c, b)
};
let (x, y) = if b.len() < c.len() { (b, c) } else { (c, b) };
// We use three algorithms for different input sizes.
//
@ -349,8 +331,8 @@ fn mac3(acc: &mut [BigDigit], b: &[BigDigit], c: &[BigDigit]) {
// Not required, but the adds go faster if we drop any unneeded 0s from the end:
p.normalize();
add2(&mut acc[b..], &p.data[..]);
add2(&mut acc[b * 2..], &p.data[..]);
add2(&mut acc[b..], &p.data[..]);
add2(&mut acc[b * 2..], &p.data[..]);
// Zero out p before the next multiply:
p.data.truncate(0);
@ -360,8 +342,8 @@ fn mac3(acc: &mut [BigDigit], b: &[BigDigit], c: &[BigDigit]) {
mac3(&mut p.data[..], x0, y0);
p.normalize();
add2(&mut acc[..], &p.data[..]);
add2(&mut acc[b..], &p.data[..]);
add2(&mut acc[..], &p.data[..]);
add2(&mut acc[b..], &p.data[..]);
// p1 = (x1 - x0) * (y1 - y0)
// We do this one last, since it may be negative and acc can't ever be negative:
@ -369,7 +351,7 @@ fn mac3(acc: &mut [BigDigit], b: &[BigDigit], c: &[BigDigit]) {
let (j1_sign, j1) = sub_sign(y1, y0);
match j0_sign * j1_sign {
Plus => {
Plus => {
p.data.truncate(0);
p.data.extend(repeat(0).take(len));
@ -377,22 +359,22 @@ fn mac3(acc: &mut [BigDigit], b: &[BigDigit], c: &[BigDigit]) {
p.normalize();
sub2(&mut acc[b..], &p.data[..]);
},
Minus => {
}
Minus => {
mac3(&mut acc[b..], &j0.data[..], &j1.data[..]);
},
NoSign => (),
}
NoSign => (),
}
} else {
// Toom-3 multiplication:
//
// Toom-3 is like Karatsuba above, but dividing the inputs into three parts.
// Both are instances of Toom-Cook, using `k=3` and `k=2` respectively.
//
// FIXME: It would be nice to have comments breaking down the operations below.
let i = y.len()/3 + 1;
// The general idea is to treat the large integers digits as
// polynomials of a certain degree and determine the coefficients/digits
// of the product of the two via interpolation of the polynomial product.
let i = y.len() / 3 + 1;
let x0_len = cmp::min(x.len(), i);
let x1_len = cmp::min(x.len() - x0_len, i);
@ -400,34 +382,105 @@ fn mac3(acc: &mut [BigDigit], b: &[BigDigit], c: &[BigDigit]) {
let y0_len = i;
let y1_len = cmp::min(y.len() - y0_len, i);
// Break x and y into three parts, representating an order two polynomial.
// t is chosen to be the size of a digit so we can use faster shifts
// in place of multiplications.
//
// x(t) = x2*t^2 + x1*t + x0
let x0 = BigInt::from_slice(Plus, &x[..x0_len]);
let x1 = BigInt::from_slice(Plus, &x[x0_len..x0_len + x1_len]);
let x2 = BigInt::from_slice(Plus, &x[x0_len + x1_len..]);
// y(t) = y2*t^2 + y1*t + y0
let y0 = BigInt::from_slice(Plus, &y[..y0_len]);
let y1 = BigInt::from_slice(Plus, &y[y0_len..y0_len + y1_len]);
let y2 = BigInt::from_slice(Plus, &y[y0_len + y1_len..]);
// Let w(t) = x(t) * y(t)
//
// This gives us the following order-4 polynomial.
//
// w(t) = w4*t^4 + w3*t^3 + w2*t^2 + w1*t + w0
//
// We need to find the coefficients w4, w3, w2, w1 and w0. Instead
// of simply multiplying the x and y in total, we can evaluate w
// at 5 points. An n-degree polynomial is uniquely identified by (n + 1)
// points.
//
// It is arbitrary as to what points we evaluate w at but we use the
// following.
//
// w(t) at t = 0, 1, -1, -2 and inf
//
// The values for w(t) in terms of x(t)*y(t) at these points are:
//
// let a = w(0) = x0 * y0
// let b = w(1) = (x2 + x1 + x0) * (y2 + y1 + y0)
// let c = w(-1) = (x2 - x1 + x0) * (y2 - y1 + y0)
// let d = w(-2) = (4*x2 - 2*x1 + x0) * (4*y2 - 2*y1 + y0)
// let e = w(inf) = x2 * y2 as t -> inf
// x0 + x2, avoiding temporaries
let p = &x0 + &x2;
// y0 + y2, avoiding temporaries
let q = &y0 + &y2;
// x2 - x1 + x0, avoiding temporaries
let p2 = &p - &x1;
// y2 - y1 + y0, avoiding temporaries
let q2 = &q - &y1;
// w(0)
let r0 = &x0 * &y0;
let r4 = &x2 * &y2;
let r1 = (p + x1) * (q + y1);
let r2 = &p2 * &q2;
let r3 = ((p2 + x2)*2 - x0) * ((q2 + y2)*2 - y0);
// w(inf)
let r4 = &x2 * &y2;
// w(1)
let r1 = (p + x1) * (q + y1);
// w(-1)
let r2 = &p2 * &q2;
// w(-2)
let r3 = ((p2 + x2) * 2 - x0) * ((q2 + y2) * 2 - y0);
// Evaluating these points gives us the following system of linear equations.
//
// 0 0 0 0 1 | a
// 1 1 1 1 1 | b
// 1 -1 1 -1 1 | c
// 16 -8 4 -2 1 | d
// 1 0 0 0 0 | e
//
// The solved equation (after gaussian elimination or similar)
// in terms of its coefficients:
//
// w0 = w(0)
// w1 = w(0)/2 + w(1)/3 - w(-1) + w(2)/6 - 2*w(inf)
// w2 = -w(0) + w(1)/2 + w(-1)/2 - w(inf)
// w3 = -w(0)/2 + w(1)/6 + w(-1)/2 - w(1)/6
// w4 = w(inf)
//
// This particular sequence is given by Bodrato and is an interpolation
// of the above equations.
let mut comp3: BigInt = (r3 - &r1) / 3;
let mut comp1: BigInt = (r1 - &r2) / 2;
let mut comp2: BigInt = r2 - &r0;
comp3 = (&comp2 - comp3)/2 + &r4*2;
comp3 = (&comp2 - comp3) / 2 + &r4 * 2;
comp2 = comp2 + &comp1 - &r4;
comp1 = comp1 - &comp3;
let result = r0 + (comp1 << 32*i) + (comp2 << 2*32*i) + (comp3 << 3*32*i) + (r4 << 4*32*i);
// Recomposition. The coefficients of the polynomial are now known.
//
// Evaluate at w(t) where t is our given base to get the result.
let result = r0
+ (comp1 << 32 * i)
+ (comp2 << 2 * 32 * i)
+ (comp3 << 3 * 32 * i)
+ (r4 << 4 * 32 * i);
let result_pos = result.to_biguint().unwrap();
add2(&mut acc[..], &result_pos.data);
}
@ -446,20 +499,68 @@ pub fn scalar_mul(a: &mut [BigDigit], b: BigDigit) -> BigDigit {
for a in a.iter_mut() {
*a = mul_with_carry(*a, b, &mut carry);
}
carry
carry as BigDigit
}
pub fn div_rem(u: &BigUint, d: &BigUint) -> (BigUint, BigUint) {
pub fn div_rem(mut u: BigUint, mut d: BigUint) -> (BigUint, BigUint) {
if d.is_zero() {
panic!()
}
if u.is_zero() {
return (Zero::zero(), Zero::zero());
}
if d.data == [1] {
return (u.clone(), Zero::zero());
}
if d.data.len() == 1 {
if d.data == [1] {
return (u, Zero::zero());
}
let (div, rem) = div_rem_digit(u, d.data[0]);
// reuse d
d.data.clear();
d += rem;
return (div, d);
}
// Required or the q_len calculation below can underflow:
match u.cmp(&d) {
Less => return (Zero::zero(), u),
Equal => {
u.set_one();
return (u, Zero::zero());
}
Greater => {} // Do nothing
}
// This algorithm is from Knuth, TAOCP vol 2 section 4.3, algorithm D:
//
// First, normalize the arguments so the highest bit in the highest digit of the divisor is
// set: the main loop uses the highest digit of the divisor for generating guesses, so we
// want it to be the largest number we can efficiently divide by.
//
let shift = d.data.last().unwrap().leading_zeros() as usize;
let (q, r) = if shift == 0 {
// no need to clone d
div_rem_core(u, &d)
} else {
div_rem_core(u << shift, &(d << shift))
};
// renormalize the remainder
(q, r >> shift)
}
pub fn div_rem_ref(u: &BigUint, d: &BigUint) -> (BigUint, BigUint) {
if d.is_zero() {
panic!()
}
if u.is_zero() {
return (Zero::zero(), Zero::zero());
}
if d.data.len() == 1 {
if d.data == [1] {
return (u.clone(), Zero::zero());
}
let (div, rem) = div_rem_digit(u.clone(), d.data[0]);
return (div, rem.into());
}
@ -478,9 +579,27 @@ pub fn div_rem(u: &BigUint, d: &BigUint) -> (BigUint, BigUint) {
// want it to be the largest number we can efficiently divide by.
//
let shift = d.data.last().unwrap().leading_zeros() as usize;
let mut a = u << shift;
let b = d << shift;
let (q, r) = if shift == 0 {
// no need to clone d
div_rem_core(u.clone(), d)
} else {
div_rem_core(u << shift, &(d << shift))
};
// renormalize the remainder
(q, r >> shift)
}
/// an implementation of Knuth, TAOCP vol 2 section 4.3, algorithm D
///
/// # Correctness
///
/// This function requires the following conditions to run correctly and/or effectively
///
/// - `a > b`
/// - `d.data.len() > 1`
/// - `d.data.last().unwrap().leading_zeros() == 0`
fn div_rem_core(mut a: BigUint, b: &BigUint) -> (BigUint, BigUint) {
// The algorithm works by incrementally calculating "guesses", q0, for part of the
// remainder. Once we have any number q0 such that q0 * b <= a, we can set
//
@ -497,13 +616,17 @@ pub fn div_rem(u: &BigUint, d: &BigUint) -> (BigUint, BigUint) {
let bn = *b.data.last().unwrap();
let q_len = a.data.len() - b.data.len() + 1;
let mut q = BigUint { data: vec![0; q_len] };
let mut q = BigUint {
data: vec![0; q_len],
};
// We reuse the same temporary to avoid hitting the allocator in our inner loop - this is
// sized to hold a0 (in the common case; if a particular digit of the quotient is zero a0
// can be bigger).
//
let mut tmp = BigUint { data: Vec::with_capacity(2) };
let mut tmp = BigUint {
data: Vec::with_capacity(2),
};
for j in (0..q_len).rev() {
/*
@ -529,12 +652,12 @@ pub fn div_rem(u: &BigUint, d: &BigUint) -> (BigUint, BigUint) {
* smaller numbers.
*/
let (mut q0, _) = div_rem_digit(a0, bn);
let mut prod = &b * &q0;
let mut prod = b * &q0;
while cmp_slice(&prod.data[..], &a.data[j..]) == Greater {
let one: BigUint = One::one();
q0 = q0 - one;
prod = prod - &b;
prod = prod - b;
}
add2(&mut q.data[j..], &q0.data[..]);
@ -544,9 +667,9 @@ pub fn div_rem(u: &BigUint, d: &BigUint) -> (BigUint, BigUint) {
tmp = q0;
}
debug_assert!(a < b);
debug_assert!(&a < b);
(q.normalized(), a >> shift)
(q.normalized(), a)
}
/// Find last set bit
@ -641,9 +764,10 @@ pub fn cmp_slice(a: &[BigDigit], b: &[BigDigit]) -> Ordering {
#[cfg(test)]
mod algorithm_tests {
use {BigDigit, BigUint, BigInt};
use Sign::Plus;
use big_digit::BigDigit;
use traits::Num;
use Sign::Plus;
use {BigInt, BigUint};
#[test]
fn test_sub_sign() {

1841
third_party/rust/num-bigint/src/bigint.rs поставляемый

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218
third_party/rust/num-bigint/src/bigrand.rs поставляемый Normal file
Просмотреть файл

@ -0,0 +1,218 @@
//! Randomization of big integers
use rand::distributions::uniform::{SampleUniform, UniformSampler};
use rand::prelude::*;
use rand::AsByteSliceMut;
use BigInt;
use BigUint;
use Sign::*;
use big_digit::BigDigit;
use bigint::{into_magnitude, magnitude};
use integer::Integer;
use traits::Zero;
pub trait RandBigInt {
/// Generate a random `BigUint` of the given bit size.
fn gen_biguint(&mut self, bit_size: usize) -> BigUint;
/// Generate a random BigInt of the given bit size.
fn gen_bigint(&mut self, bit_size: usize) -> BigInt;
/// Generate a random `BigUint` less than the given bound. Fails
/// when the bound is zero.
fn gen_biguint_below(&mut self, bound: &BigUint) -> BigUint;
/// Generate a random `BigUint` within the given range. The lower
/// bound is inclusive; the upper bound is exclusive. Fails when
/// the upper bound is not greater than the lower bound.
fn gen_biguint_range(&mut self, lbound: &BigUint, ubound: &BigUint) -> BigUint;
/// Generate a random `BigInt` within the given range. The lower
/// bound is inclusive; the upper bound is exclusive. Fails when
/// the upper bound is not greater than the lower bound.
fn gen_bigint_range(&mut self, lbound: &BigInt, ubound: &BigInt) -> BigInt;
}
impl<R: Rng + ?Sized> RandBigInt for R {
fn gen_biguint(&mut self, bit_size: usize) -> BigUint {
use super::big_digit::BITS;
let (digits, rem) = bit_size.div_rem(&BITS);
let mut data = vec![BigDigit::default(); digits + (rem > 0) as usize];
// `fill_bytes` is faster than many `gen::<u32>` calls
self.fill_bytes(data[..].as_byte_slice_mut());
// Swap bytes per the `Rng::fill` source. This might be
// unnecessary if reproducibility across architectures is not
// desired.
data.to_le();
if rem > 0 {
data[digits] >>= BITS - rem;
}
BigUint::new(data)
}
fn gen_bigint(&mut self, bit_size: usize) -> BigInt {
loop {
// Generate a random BigUint...
let biguint = self.gen_biguint(bit_size);
// ...and then randomly assign it a Sign...
let sign = if biguint.is_zero() {
// ...except that if the BigUint is zero, we need to try
// again with probability 0.5. This is because otherwise,
// the probability of generating a zero BigInt would be
// double that of any other number.
if self.gen() {
continue;
} else {
NoSign
}
} else if self.gen() {
Plus
} else {
Minus
};
return BigInt::from_biguint(sign, biguint);
}
}
fn gen_biguint_below(&mut self, bound: &BigUint) -> BigUint {
assert!(!bound.is_zero());
let bits = bound.bits();
loop {
let n = self.gen_biguint(bits);
if n < *bound {
return n;
}
}
}
fn gen_biguint_range(&mut self, lbound: &BigUint, ubound: &BigUint) -> BigUint {
assert!(*lbound < *ubound);
if lbound.is_zero() {
self.gen_biguint_below(ubound)
} else {
lbound + self.gen_biguint_below(&(ubound - lbound))
}
}
fn gen_bigint_range(&mut self, lbound: &BigInt, ubound: &BigInt) -> BigInt {
assert!(*lbound < *ubound);
if lbound.is_zero() {
BigInt::from(self.gen_biguint_below(magnitude(&ubound)))
} else if ubound.is_zero() {
lbound + BigInt::from(self.gen_biguint_below(magnitude(&lbound)))
} else {
let delta = ubound - lbound;
lbound + BigInt::from(self.gen_biguint_below(magnitude(&delta)))
}
}
}
/// The back-end implementing rand's `UniformSampler` for `BigUint`.
#[derive(Clone, Debug)]
pub struct UniformBigUint {
base: BigUint,
len: BigUint,
}
impl UniformSampler for UniformBigUint {
type X = BigUint;
#[inline]
fn new(low: Self::X, high: Self::X) -> Self {
assert!(low < high);
UniformBigUint {
len: high - &low,
base: low,
}
}
#[inline]
fn new_inclusive(low: Self::X, high: Self::X) -> Self {
assert!(low <= high);
Self::new(low, high + 1u32)
}
#[inline]
fn sample<R: Rng + ?Sized>(&self, rng: &mut R) -> Self::X {
&self.base + rng.gen_biguint_below(&self.len)
}
#[inline]
fn sample_single<R: Rng + ?Sized>(low: Self::X, high: Self::X, rng: &mut R) -> Self::X {
rng.gen_biguint_range(&low, &high)
}
}
impl SampleUniform for BigUint {
type Sampler = UniformBigUint;
}
/// The back-end implementing rand's `UniformSampler` for `BigInt`.
#[derive(Clone, Debug)]
pub struct UniformBigInt {
base: BigInt,
len: BigUint,
}
impl UniformSampler for UniformBigInt {
type X = BigInt;
#[inline]
fn new(low: Self::X, high: Self::X) -> Self {
assert!(low < high);
UniformBigInt {
len: into_magnitude(high - &low),
base: low,
}
}
#[inline]
fn new_inclusive(low: Self::X, high: Self::X) -> Self {
assert!(low <= high);
Self::new(low, high + 1u32)
}
#[inline]
fn sample<R: Rng + ?Sized>(&self, rng: &mut R) -> Self::X {
&self.base + BigInt::from(rng.gen_biguint_below(&self.len))
}
#[inline]
fn sample_single<R: Rng + ?Sized>(low: Self::X, high: Self::X, rng: &mut R) -> Self::X {
rng.gen_bigint_range(&low, &high)
}
}
impl SampleUniform for BigInt {
type Sampler = UniformBigInt;
}
/// A random distribution for `BigUint` and `BigInt` values of a particular bit size.
#[derive(Clone, Copy, Debug)]
pub struct RandomBits {
bits: usize,
}
impl RandomBits {
#[inline]
pub fn new(bits: usize) -> RandomBits {
RandomBits { bits }
}
}
impl Distribution<BigUint> for RandomBits {
#[inline]
fn sample<R: Rng + ?Sized>(&self, rng: &mut R) -> BigUint {
rng.gen_biguint(self.bits)
}
}
impl Distribution<BigInt> for RandomBits {
#[inline]
fn sample<R: Rng + ?Sized>(&self, rng: &mut R) -> BigInt {
rng.gen_bigint(self.bits)
}
}

2253
third_party/rust/num-bigint/src/biguint.rs поставляемый

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136
third_party/rust/num-bigint/src/lib.rs поставляемый
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@ -47,6 +47,7 @@
//! It's easy to generate large random numbers:
//!
//! ```rust
//! # #[cfg(feature = "rand")]
//! extern crate rand;
//! extern crate num_bigint as bigint;
//!
@ -72,24 +73,35 @@
//!
//! ## Compatibility
//!
//! The `num-bigint` crate is tested for rustc 1.8 and greater.
//! The `num-bigint` crate is tested for rustc 1.15 and greater.
#![doc(html_root_url = "https://docs.rs/num-bigint/0.1")]
#![doc(html_root_url = "https://docs.rs/num-bigint/0.2")]
// We don't actually support `no_std` yet, and probably won't until `alloc` is stable. We're just
// reserving this ability with the "std" feature now, and compilation will fail without.
#![cfg_attr(not(feature = "std"), no_std)]
#[cfg(any(feature = "rand", test))]
#[cfg(feature = "rand")]
extern crate rand;
#[cfg(feature = "rustc-serialize")]
extern crate rustc_serialize;
#[cfg(feature = "serde")]
extern crate serde;
extern crate num_integer as integer;
extern crate num_traits as traits;
#[cfg(feature = "quickcheck")]
extern crate quickcheck;
use std::error::Error;
use std::num::ParseIntError;
use std::fmt;
#[macro_use]
mod macros;
mod bigint;
mod biguint;
#[cfg(feature = "rand")]
mod bigrand;
#[cfg(target_pointer_width = "32")]
type UsizePromotion = u32;
#[cfg(target_pointer_width = "64")]
@ -100,57 +112,95 @@ type IsizePromotion = i32;
#[cfg(target_pointer_width = "64")]
type IsizePromotion = i64;
#[derive(Debug, PartialEq)]
pub enum ParseBigIntError {
ParseInt(ParseIntError),
Other,
#[derive(Debug, Clone, PartialEq, Eq)]
pub struct ParseBigIntError {
kind: BigIntErrorKind,
}
#[derive(Debug, Clone, PartialEq, Eq)]
enum BigIntErrorKind {
Empty,
InvalidDigit,
}
impl ParseBigIntError {
fn __description(&self) -> &str {
use BigIntErrorKind::*;
match self.kind {
Empty => "cannot parse integer from empty string",
InvalidDigit => "invalid digit found in string",
}
}
fn empty() -> Self {
ParseBigIntError {
kind: BigIntErrorKind::Empty,
}
}
fn invalid() -> Self {
ParseBigIntError {
kind: BigIntErrorKind::InvalidDigit,
}
}
}
impl fmt::Display for ParseBigIntError {
fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result {
match self {
&ParseBigIntError::ParseInt(ref e) => e.fmt(f),
&ParseBigIntError::Other => "failed to parse provided string".fmt(f),
}
self.__description().fmt(f)
}
}
impl Error for ParseBigIntError {
fn description(&self) -> &str {
"failed to parse bigint/biguint"
self.__description()
}
}
impl From<ParseIntError> for ParseBigIntError {
fn from(err: ParseIntError) -> ParseBigIntError {
ParseBigIntError::ParseInt(err)
}
}
#[cfg(test)]
use std::hash;
#[cfg(test)]
fn hash<T: hash::Hash>(x: &T) -> u64 {
use std::hash::{BuildHasher, Hasher};
use std::collections::hash_map::RandomState;
let mut hasher = <RandomState as BuildHasher>::Hasher::new();
x.hash(&mut hasher);
hasher.finish()
}
#[macro_use]
mod macros;
mod biguint;
mod bigint;
pub use biguint::BigUint;
pub use biguint::ToBigUint;
pub use biguint::big_digit;
pub use biguint::big_digit::{BigDigit, DoubleBigDigit, ZERO_BIG_DIGIT};
pub use bigint::Sign;
pub use bigint::BigInt;
pub use bigint::Sign;
pub use bigint::ToBigInt;
pub use bigint::RandBigInt;
#[cfg(feature = "rand")]
pub use bigrand::{RandBigInt, RandomBits, UniformBigInt, UniformBigUint};
mod big_digit {
/// A `BigDigit` is a `BigUint`'s composing element.
pub type BigDigit = u32;
/// A `DoubleBigDigit` is the internal type used to do the computations. Its
/// size is the double of the size of `BigDigit`.
pub type DoubleBigDigit = u64;
/// A `SignedDoubleBigDigit` is the signed version of `DoubleBigDigit`.
pub type SignedDoubleBigDigit = i64;
// `DoubleBigDigit` size dependent
pub const BITS: usize = 32;
const LO_MASK: DoubleBigDigit = (-1i32 as DoubleBigDigit) >> BITS;
#[inline]
fn get_hi(n: DoubleBigDigit) -> BigDigit {
(n >> BITS) as BigDigit
}
#[inline]
fn get_lo(n: DoubleBigDigit) -> BigDigit {
(n & LO_MASK) as BigDigit
}
/// Split one `DoubleBigDigit` into two `BigDigit`s.
#[inline]
pub fn from_doublebigdigit(n: DoubleBigDigit) -> (BigDigit, BigDigit) {
(get_hi(n), get_lo(n))
}
/// Join two `BigDigit`s into one `DoubleBigDigit`
#[inline]
pub fn to_doublebigdigit(hi: BigDigit, lo: BigDigit) -> DoubleBigDigit {
DoubleBigDigit::from(lo) | (DoubleBigDigit::from(hi) << BITS)
}
}

175
third_party/rust/num-bigint/src/macros.rs поставляемый
Просмотреть файл

@ -12,7 +12,7 @@ macro_rules! forward_val_val_binop {
$imp::$method(self, &other)
}
}
}
};
}
macro_rules! forward_val_val_binop_commutative {
@ -23,14 +23,14 @@ macro_rules! forward_val_val_binop_commutative {
#[inline]
fn $method(self, other: $res) -> $res {
// forward to val-ref, with the larger capacity as val
if self.data.capacity() >= other.data.capacity() {
if self.capacity() >= other.capacity() {
$imp::$method(self, &other)
} else {
$imp::$method(other, &self)
}
}
}
}
};
}
macro_rules! forward_ref_val_binop {
@ -44,7 +44,7 @@ macro_rules! forward_ref_val_binop {
$imp::$method(self, &other)
}
}
}
};
}
macro_rules! forward_ref_val_binop_commutative {
@ -58,7 +58,7 @@ macro_rules! forward_ref_val_binop_commutative {
$imp::$method(other, self)
}
}
}
};
}
macro_rules! forward_val_ref_binop {
@ -72,7 +72,7 @@ macro_rules! forward_val_ref_binop {
$imp::$method(&self, other)
}
}
}
};
}
macro_rules! forward_ref_ref_binop {
@ -86,7 +86,7 @@ macro_rules! forward_ref_ref_binop {
$imp::$method(self.clone(), other)
}
}
}
};
}
macro_rules! forward_ref_ref_binop_commutative {
@ -97,14 +97,14 @@ macro_rules! forward_ref_ref_binop_commutative {
#[inline]
fn $method(self, other: &$res) -> $res {
// forward to val-ref, choosing the larger to clone
if self.data.len() >= other.data.len() {
if self.len() >= other.len() {
$imp::$method(self.clone(), other)
} else {
$imp::$method(other.clone(), self)
}
}
}
}
};
}
macro_rules! forward_val_assign {
@ -115,8 +115,9 @@ macro_rules! forward_val_assign {
self.$method(&other);
}
}
}
};
}
macro_rules! forward_val_assign_scalar {
(impl $imp:ident for $res:ty, $scalar:ty, $method:ident) => {
impl $imp<$res> for $scalar {
@ -125,11 +126,12 @@ macro_rules! forward_val_assign_scalar {
self.$method(&other);
}
}
}
};
}
/// use this if val_val_binop is already implemented and the reversed order is required
macro_rules! forward_scalar_val_val_binop_commutative {
(impl $imp:ident<$scalar:ty> for $res:ty, $method: ident) => {
(impl $imp:ident < $scalar:ty > for $res:ty, $method:ident) => {
impl $imp<$res> for $scalar {
type Output = $res;
@ -138,10 +140,77 @@ macro_rules! forward_scalar_val_val_binop_commutative {
$imp::$method(other, self)
}
}
}
};
}
macro_rules! forward_scalar_val_ref_binop {
// Forward scalar to ref-val, when reusing storage is not helpful
macro_rules! forward_scalar_val_val_binop_to_ref_val {
(impl $imp:ident<$scalar:ty> for $res:ty, $method:ident) => {
impl $imp<$scalar> for $res {
type Output = $res;
#[inline]
fn $method(self, other: $scalar) -> $res {
$imp::$method(&self, other)
}
}
impl $imp<$res> for $scalar {
type Output = $res;
#[inline]
fn $method(self, other: $res) -> $res {
$imp::$method(self, &other)
}
}
};
}
macro_rules! forward_scalar_ref_ref_binop_to_ref_val {
(impl $imp:ident<$scalar:ty> for $res:ty, $method:ident) => {
impl<'a, 'b> $imp<&'b $scalar> for &'a $res {
type Output = $res;
#[inline]
fn $method(self, other: &$scalar) -> $res {
$imp::$method(self, *other)
}
}
impl<'a, 'b> $imp<&'a $res> for &'b $scalar {
type Output = $res;
#[inline]
fn $method(self, other: &$res) -> $res {
$imp::$method(*self, other)
}
}
};
}
macro_rules! forward_scalar_val_ref_binop_to_ref_val {
(impl $imp:ident<$scalar:ty> for $res:ty, $method:ident) => {
impl<'a> $imp<&'a $scalar> for $res {
type Output = $res;
#[inline]
fn $method(self, other: &$scalar) -> $res {
$imp::$method(&self, *other)
}
}
impl<'a> $imp<$res> for &'a $scalar {
type Output = $res;
#[inline]
fn $method(self, other: $res) -> $res {
$imp::$method(*self, &other)
}
}
};
}
macro_rules! forward_scalar_val_ref_binop_to_val_val {
(impl $imp:ident<$scalar:ty> for $res:ty, $method:ident) => {
impl<'a> $imp<&'a $scalar> for $res {
type Output = $res;
@ -160,11 +229,11 @@ macro_rules! forward_scalar_val_ref_binop {
$imp::$method(*self, other)
}
}
}
};
}
macro_rules! forward_scalar_ref_val_binop {
(impl $imp:ident<$scalar:ty> for $res:ty, $method:ident) => {
macro_rules! forward_scalar_ref_val_binop_to_val_val {
(impl $imp:ident < $scalar:ty > for $res:ty, $method:ident) => {
impl<'a> $imp<$scalar> for &'a $res {
type Output = $res;
@ -182,10 +251,10 @@ macro_rules! forward_scalar_ref_val_binop {
$imp::$method(self, other.clone())
}
}
}
};
}
macro_rules! forward_scalar_ref_ref_binop {
macro_rules! forward_scalar_ref_ref_binop_to_val_val {
(impl $imp:ident<$scalar:ty> for $res:ty, $method:ident) => {
impl<'a, 'b> $imp<&'b $scalar> for &'a $res {
type Output = $res;
@ -204,7 +273,7 @@ macro_rules! forward_scalar_ref_ref_binop {
$imp::$method(*self, other.clone())
}
}
}
};
}
macro_rules! promote_scalars {
@ -215,6 +284,8 @@ macro_rules! promote_scalars {
impl $imp<$scalar> for $res {
type Output = $res;
#[cfg_attr(feature = "cargo-clippy", allow(renamed_and_removed_lints))]
#[cfg_attr(feature = "cargo-clippy", allow(cast_lossless))]
#[inline]
fn $method(self, other: $scalar) -> $res {
$imp::$method(self, other as $promo)
@ -224,6 +295,8 @@ macro_rules! promote_scalars {
impl $imp<$res> for $scalar {
type Output = $res;
#[cfg_attr(feature = "cargo-clippy", allow(renamed_and_removed_lints))]
#[cfg_attr(feature = "cargo-clippy", allow(cast_lossless))]
#[inline]
fn $method(self, other: $res) -> $res {
$imp::$method(self as $promo, other)
@ -236,6 +309,8 @@ macro_rules! promote_scalars_assign {
(impl $imp:ident<$promo:ty> for $res:ty, $method:ident, $( $scalar:ty ),*) => {
$(
impl $imp<$scalar> for $res {
#[cfg_attr(feature = "cargo-clippy", allow(renamed_and_removed_lints))]
#[cfg_attr(feature = "cargo-clippy", allow(cast_lossless))]
#[inline]
fn $method(&mut self, other: $scalar) {
self.$method(other as $promo);
@ -266,6 +341,13 @@ macro_rules! promote_signed_scalars {
}
}
macro_rules! promote_signed_scalars_assign {
(impl $imp:ident for $res:ty, $method:ident) => {
promote_scalars_assign!(impl $imp<i32> for $res, $method, i8, i16);
promote_scalars_assign!(impl $imp<UsizePromotion> for $res, $method, isize);
}
}
// Forward everything to ref-ref, when reusing storage is not helpful
macro_rules! forward_all_binop_to_ref_ref {
(impl $imp:ident for $res:ty, $method:ident) => {
@ -293,11 +375,19 @@ macro_rules! forward_all_binop_to_val_ref_commutative {
};
}
macro_rules! forward_all_scalar_binop_to_ref_val {
(impl $imp:ident<$scalar:ty> for $res:ty, $method:ident) => {
forward_scalar_val_val_binop_to_ref_val!(impl $imp<$scalar> for $res, $method);
forward_scalar_val_ref_binop_to_ref_val!(impl $imp<$scalar> for $res, $method);
forward_scalar_ref_ref_binop_to_ref_val!(impl $imp<$scalar> for $res, $method);
}
}
macro_rules! forward_all_scalar_binop_to_val_val {
(impl $imp:ident<$scalar:ty> for $res:ty, $method:ident) => {
forward_scalar_val_ref_binop!(impl $imp<$scalar> for $res, $method);
forward_scalar_ref_val_binop!(impl $imp<$scalar> for $res, $method);
forward_scalar_ref_ref_binop!(impl $imp<$scalar> for $res, $method);
forward_scalar_val_ref_binop_to_val_val!(impl $imp<$scalar> for $res, $method);
forward_scalar_ref_val_binop_to_val_val!(impl $imp<$scalar> for $res, $method);
forward_scalar_ref_ref_binop_to_val_val!(impl $imp<$scalar> for $res, $method);
}
}
@ -314,3 +404,42 @@ macro_rules! promote_all_scalars {
promote_signed_scalars!(impl $imp for $res, $method);
}
}
macro_rules! promote_all_scalars_assign {
(impl $imp:ident for $res:ty, $method:ident) => {
promote_unsigned_scalars_assign!(impl $imp for $res, $method);
promote_signed_scalars_assign!(impl $imp for $res, $method);
}
}
macro_rules! impl_sum_iter_type {
($res:ty) => {
impl<T> Sum<T> for $res
where
$res: Add<T, Output = $res>,
{
fn sum<I>(iter: I) -> Self
where
I: Iterator<Item = T>,
{
iter.fold(Zero::zero(), <$res>::add)
}
}
};
}
macro_rules! impl_product_iter_type {
($res:ty) => {
impl<T> Product<T> for $res
where
$res: Mul<T, Output = $res>,
{
fn product<I>(iter: I) -> Self
where
I: Iterator<Item = T>,
{
iter.fold(One::one(), <$res>::mul)
}
}
};
}

16
third_party/rust/num-bigint/src/monty.rs поставляемый
Просмотреть файл

@ -5,7 +5,7 @@ use biguint::BigUint;
struct MontyReducer<'a> {
n: &'a BigUint,
n0inv: u32
n0inv: u32,
}
// Calculate the modular inverse of `num`, using Extended GCD.
@ -16,8 +16,8 @@ fn inv_mod_u32(num: u32) -> u32 {
// num needs to be relatively prime to 2**32 -- i.e. it must be odd.
assert!(num % 2 != 0);
let mut a: i64 = num as i64;
let mut b: i64 = (u32::max_value() as i64) + 1;
let mut a: i64 = i64::from(num);
let mut b: i64 = i64::from(u32::max_value()) + 1;
// ExtendedGcd
// Input: positive integers a and b
@ -33,10 +33,12 @@ fn inv_mod_u32(num: u32) -> u32 {
let q = a / b;
let r = a % b;
// 5: (a, b) <- (b, r)
a = b; b = r;
a = b;
b = r;
// 6: (u, w) <- (w, u - qw)
let m = u - w*q;
u = w; w = m;
let m = u - w * q;
u = w;
w = m;
}
assert!(a == 1);
@ -100,7 +102,7 @@ fn monty_sqr(a: BigUint, mr: &MontyReducer) -> BigUint {
monty_redc(&a * &a, mr)
}
pub fn monty_modpow(a: &BigUint, exp: &BigUint, modulus: &BigUint) -> BigUint{
pub fn monty_modpow(a: &BigUint, exp: &BigUint, modulus: &BigUint) -> BigUint {
let mr = MontyReducer::new(modulus);
// Calculate the Montgomery parameter

Просмотреть файл

@ -1,102 +1,40 @@
use {BigDigit, BigUint, big_digit};
use {Sign, BigInt, RandBigInt, ToBigInt};
use Sign::{Minus, NoSign, Plus};
extern crate num_bigint;
extern crate num_integer;
extern crate num_traits;
#[cfg(feature = "rand")]
extern crate rand;
use std::cmp::Ordering::{Less, Equal, Greater};
use std::{f32, f64};
use std::{i8, i16, i32, i64, isize};
use num_bigint::BigUint;
use num_bigint::Sign::{Minus, NoSign, Plus};
use num_bigint::{BigInt, ToBigInt};
use std::cmp::Ordering::{Equal, Greater, Less};
use std::collections::hash_map::RandomState;
use std::hash::{BuildHasher, Hash, Hasher};
use std::iter::repeat;
use std::{u8, u16, u32, u64, usize};
use std::ops::Neg;
use std::{f32, f64};
#[cfg(has_i128)]
use std::{i128, u128};
use std::{i16, i32, i64, i8, isize};
use std::{u16, u32, u64, u8, usize};
use rand::thread_rng;
use num_integer::Integer;
use num_traits::{Float, FromPrimitive, Num, One, Pow, Signed, ToPrimitive, Zero};
use integer::Integer;
use traits::{Zero, One, Signed, ToPrimitive, FromPrimitive, Num, Float};
mod consts;
use consts::*;
/// Assert that an op works for all val/ref combinations
macro_rules! assert_op {
($left:ident $op:tt $right:ident == $expected:expr) => {
assert_eq!((&$left) $op (&$right), $expected);
assert_eq!((&$left) $op $right.clone(), $expected);
assert_eq!($left.clone() $op (&$right), $expected);
assert_eq!($left.clone() $op $right.clone(), $expected);
};
}
/// Assert that an op works for scalar left or right
macro_rules! assert_scalar_op {
(($($to:ident),*) $left:ident $op:tt $right:ident == $expected:expr) => {
$(
if let Some(left) = $left.$to() {
assert_op!(left $op $right == $expected);
}
if let Some(right) = $right.$to() {
assert_op!($left $op right == $expected);
}
)*
};
($left:ident $op:tt $right:ident == $expected:expr) => {
assert_scalar_op!((to_u8, to_u16, to_u32, to_u64, to_usize,
to_i8, to_i16, to_i32, to_i64, to_isize)
$left $op $right == $expected);
};
}
#[test]
fn test_from_biguint() {
fn check(inp_s: Sign, inp_n: usize, ans_s: Sign, ans_n: usize) {
let inp = BigInt::from_biguint(inp_s, FromPrimitive::from_usize(inp_n).unwrap());
let ans = BigInt {
sign: ans_s,
data: FromPrimitive::from_usize(ans_n).unwrap(),
};
assert_eq!(inp, ans);
}
check(Plus, 1, Plus, 1);
check(Plus, 0, NoSign, 0);
check(Minus, 1, Minus, 1);
check(NoSign, 1, NoSign, 0);
}
#[test]
fn test_from_slice() {
fn check(inp_s: Sign, inp_n: u32, ans_s: Sign, ans_n: u32) {
let inp = BigInt::from_slice(inp_s, &[inp_n]);
let ans = BigInt {
sign: ans_s,
data: FromPrimitive::from_u32(ans_n).unwrap(),
};
assert_eq!(inp, ans);
}
check(Plus, 1, Plus, 1);
check(Plus, 0, NoSign, 0);
check(Minus, 1, Minus, 1);
check(NoSign, 1, NoSign, 0);
}
#[test]
fn test_assign_from_slice() {
fn check(inp_s: Sign, inp_n: u32, ans_s: Sign, ans_n: u32) {
let mut inp = BigInt::from_slice(Minus, &[2627_u32, 0_u32, 9182_u32, 42_u32]);
inp.assign_from_slice(inp_s, &[inp_n]);
let ans = BigInt {
sign: ans_s,
data: FromPrimitive::from_u32(ans_n).unwrap(),
};
assert_eq!(inp, ans);
}
check(Plus, 1, Plus, 1);
check(Plus, 0, NoSign, 0);
check(Minus, 1, Minus, 1);
check(NoSign, 1, NoSign, 0);
}
#[macro_use]
mod macros;
#[test]
fn test_from_bytes_be() {
fn check(s: &str, result: &str) {
assert_eq!(BigInt::from_bytes_be(Plus, s.as_bytes()),
BigInt::parse_bytes(result.as_bytes(), 10).unwrap());
assert_eq!(
BigInt::from_bytes_be(Plus, s.as_bytes()),
BigInt::parse_bytes(result.as_bytes(), 10).unwrap()
);
}
check("A", "65");
check("AA", "16705");
@ -128,8 +66,10 @@ fn test_to_bytes_be() {
#[test]
fn test_from_bytes_le() {
fn check(s: &str, result: &str) {
assert_eq!(BigInt::from_bytes_le(Plus, s.as_bytes()),
BigInt::parse_bytes(result.as_bytes(), 10).unwrap());
assert_eq!(
BigInt::from_bytes_le(Plus, s.as_bytes()),
BigInt::parse_bytes(result.as_bytes(), 10).unwrap()
);
}
check("A", "65");
check("AA", "16705");
@ -161,8 +101,12 @@ fn test_to_bytes_le() {
#[test]
fn test_to_signed_bytes_le() {
fn check(s: &str, result: Vec<u8>) {
assert_eq!(BigInt::parse_bytes(s.as_bytes(), 10).unwrap().to_signed_bytes_le(),
result);
assert_eq!(
BigInt::parse_bytes(s.as_bytes(), 10)
.unwrap()
.to_signed_bytes_le(),
result
);
}
check("0", vec![0]);
@ -172,13 +116,16 @@ fn test_to_signed_bytes_le() {
check("-100", vec![156]);
check("-8388608", vec![0, 0, 0x80]);
check("-192", vec![0x40, 0xff]);
check("128", vec![0x80, 0])
}
#[test]
fn test_from_signed_bytes_le() {
fn check(s: &[u8], result: &str) {
assert_eq!(BigInt::from_signed_bytes_le(s),
BigInt::parse_bytes(result.as_bytes(), 10).unwrap());
assert_eq!(
BigInt::from_signed_bytes_le(s),
BigInt::parse_bytes(result.as_bytes(), 10).unwrap()
);
}
check(&[], "0");
@ -196,8 +143,12 @@ fn test_from_signed_bytes_le() {
#[test]
fn test_to_signed_bytes_be() {
fn check(s: &str, result: Vec<u8>) {
assert_eq!(BigInt::parse_bytes(s.as_bytes(), 10).unwrap().to_signed_bytes_be(),
result);
assert_eq!(
BigInt::parse_bytes(s.as_bytes(), 10)
.unwrap()
.to_signed_bytes_be(),
result
);
}
check("0", vec![0]);
@ -207,13 +158,16 @@ fn test_to_signed_bytes_be() {
check("-100", vec![156]);
check("-8388608", vec![128, 0, 0]);
check("-192", vec![0xff, 0x40]);
check("128", vec![0, 0x80]);
}
#[test]
fn test_from_signed_bytes_be() {
fn check(s: &[u8], result: &str) {
assert_eq!(BigInt::from_signed_bytes_be(s),
BigInt::parse_bytes(result.as_bytes(), 10).unwrap());
assert_eq!(
BigInt::from_signed_bytes_be(s),
BigInt::parse_bytes(result.as_bytes(), 10).unwrap()
);
}
check(&[], "0");
@ -228,9 +182,25 @@ fn test_from_signed_bytes_be() {
check(&[0xff, 0x40], "-192");
}
#[test]
fn test_signed_bytes_be_round_trip() {
for i in -0x1FFFF..0x20000 {
let n = BigInt::from(i);
assert_eq!(n, BigInt::from_signed_bytes_be(&n.to_signed_bytes_be()));
}
}
#[test]
fn test_signed_bytes_le_round_trip() {
for i in -0x1FFFF..0x20000 {
let n = BigInt::from(i);
assert_eq!(n, BigInt::from_signed_bytes_le(&n.to_signed_bytes_le()));
}
}
#[test]
fn test_cmp() {
let vs: [&[BigDigit]; 4] = [&[2 as BigDigit], &[1, 1], &[2, 1], &[1, 1, 1]];
let vs: [&[u32]; 4] = [&[2 as u32], &[1, 1], &[2, 1], &[1, 1, 1]];
let mut nums = Vec::new();
for s in vs.iter().rev() {
nums.push(BigInt::from_slice(Minus, *s));
@ -271,11 +241,14 @@ fn test_cmp() {
}
}
fn hash<T: Hash>(x: &T) -> u64 {
let mut hasher = <RandomState as BuildHasher>::Hasher::new();
x.hash(&mut hasher);
hasher.finish()
}
#[test]
fn test_hash() {
use hash;
let a = BigInt::new(NoSign, vec![]);
let b = BigInt::new(NoSign, vec![0]);
let c = BigInt::new(Plus, vec![1]);
@ -304,16 +277,52 @@ fn test_convert_i64() {
assert_eq!((i64::MAX as u64 + 1).to_bigint().unwrap().to_i64(), None);
assert_eq!(BigInt::from_biguint(Plus, BigUint::new(vec![1, 2, 3, 4, 5])).to_i64(),
None);
assert_eq!(
BigInt::from_biguint(Plus, BigUint::new(vec![1, 2, 3, 4, 5])).to_i64(),
None
);
assert_eq!(BigInt::from_biguint(Minus,
BigUint::new(vec![1, 0, 0, 1 << (big_digit::BITS - 1)]))
.to_i64(),
None);
assert_eq!(
BigInt::from_biguint(Minus, BigUint::new(vec![1, 0, 0, 1 << 31])).to_i64(),
None
);
assert_eq!(BigInt::from_biguint(Minus, BigUint::new(vec![1, 2, 3, 4, 5])).to_i64(),
None);
assert_eq!(
BigInt::from_biguint(Minus, BigUint::new(vec![1, 2, 3, 4, 5])).to_i64(),
None
);
}
#[test]
#[cfg(has_i128)]
fn test_convert_i128() {
fn check(b1: BigInt, i: i128) {
let b2: BigInt = FromPrimitive::from_i128(i).unwrap();
assert!(b1 == b2);
assert!(b1.to_i128().unwrap() == i);
}
check(Zero::zero(), 0);
check(One::one(), 1);
check(i128::MIN.to_bigint().unwrap(), i128::MIN);
check(i128::MAX.to_bigint().unwrap(), i128::MAX);
assert_eq!((i128::MAX as u128 + 1).to_bigint().unwrap().to_i128(), None);
assert_eq!(
BigInt::from_biguint(Plus, BigUint::new(vec![1, 2, 3, 4, 5])).to_i128(),
None
);
assert_eq!(
BigInt::from_biguint(Minus, BigUint::new(vec![1, 0, 0, 1 << 31])).to_i128(),
None
);
assert_eq!(
BigInt::from_biguint(Minus, BigUint::new(vec![1, 2, 3, 4, 5])).to_i128(),
None
);
}
#[test]
@ -329,13 +338,44 @@ fn test_convert_u64() {
check(u64::MIN.to_bigint().unwrap(), u64::MIN);
check(u64::MAX.to_bigint().unwrap(), u64::MAX);
assert_eq!(BigInt::from_biguint(Plus, BigUint::new(vec![1, 2, 3, 4, 5])).to_u64(),
None);
assert_eq!(
BigInt::from_biguint(Plus, BigUint::new(vec![1, 2, 3, 4, 5])).to_u64(),
None
);
let max_value: BigUint = FromPrimitive::from_u64(u64::MAX).unwrap();
assert_eq!(BigInt::from_biguint(Minus, max_value).to_u64(), None);
assert_eq!(BigInt::from_biguint(Minus, BigUint::new(vec![1, 2, 3, 4, 5])).to_u64(),
None);
assert_eq!(
BigInt::from_biguint(Minus, BigUint::new(vec![1, 2, 3, 4, 5])).to_u64(),
None
);
}
#[test]
#[cfg(has_i128)]
fn test_convert_u128() {
fn check(b1: BigInt, u: u128) {
let b2: BigInt = FromPrimitive::from_u128(u).unwrap();
assert!(b1 == b2);
assert!(b1.to_u128().unwrap() == u);
}
check(Zero::zero(), 0);
check(One::one(), 1);
check(u128::MIN.to_bigint().unwrap(), u128::MIN);
check(u128::MAX.to_bigint().unwrap(), u128::MAX);
assert_eq!(
BigInt::from_biguint(Plus, BigUint::new(vec![1, 2, 3, 4, 5])).to_u128(),
None
);
let max_value: BigUint = FromPrimitive::from_u128(u128::MAX).unwrap();
assert_eq!(BigInt::from_biguint(Minus, max_value).to_u128(), None);
assert_eq!(
BigInt::from_biguint(Minus, BigUint::new(vec![1, 2, 3, 4, 5])).to_u128(),
None
);
}
#[test]
@ -355,8 +395,10 @@ fn test_convert_f32() {
check(&BigInt::from(u16::MAX), 2.0.powi(16) - 1.0);
check(&BigInt::from(1u64 << 32), 2.0.powi(32));
check(&BigInt::from_slice(Plus, &[0, 0, 1]), 2.0.powi(64));
check(&((BigInt::one() << 100) + (BigInt::one() << 123)),
2.0.powi(100) + 2.0.powi(123));
check(
&((BigInt::one() << 100) + (BigInt::one() << 123)),
2.0.powi(100) + 2.0.powi(123),
);
check(&(BigInt::one() << 127), 2.0.powi(127));
check(&(BigInt::from((1u64 << 24) - 1) << (128 - 24)), f32::MAX);
@ -388,14 +430,18 @@ fn test_convert_f32() {
}
// rounding
assert_eq!(BigInt::from_f32(-f32::consts::PI),
Some(BigInt::from(-3i32)));
assert_eq!(
BigInt::from_f32(-f32::consts::PI),
Some(BigInt::from(-3i32))
);
assert_eq!(BigInt::from_f32(-f32::consts::E), Some(BigInt::from(-2i32)));
assert_eq!(BigInt::from_f32(-0.99999), Some(BigInt::zero()));
assert_eq!(BigInt::from_f32(-0.5), Some(BigInt::zero()));
assert_eq!(BigInt::from_f32(-0.0), Some(BigInt::zero()));
assert_eq!(BigInt::from_f32(f32::MIN_POSITIVE / 2.0),
Some(BigInt::zero()));
assert_eq!(
BigInt::from_f32(f32::MIN_POSITIVE / 2.0),
Some(BigInt::zero())
);
assert_eq!(BigInt::from_f32(f32::MIN_POSITIVE), Some(BigInt::zero()));
assert_eq!(BigInt::from_f32(0.5), Some(BigInt::zero()));
assert_eq!(BigInt::from_f32(0.99999), Some(BigInt::zero()));
@ -437,8 +483,10 @@ fn test_convert_f64() {
check(&BigInt::from(u32::MAX), 2.0.powi(32) - 1.0);
check(&BigInt::from(1u64 << 32), 2.0.powi(32));
check(&BigInt::from_slice(Plus, &[0, 0, 1]), 2.0.powi(64));
check(&((BigInt::one() << 100) + (BigInt::one() << 152)),
2.0.powi(100) + 2.0.powi(152));
check(
&((BigInt::one() << 100) + (BigInt::one() << 152)),
2.0.powi(100) + 2.0.powi(152),
);
check(&(BigInt::one() << 1023), 2.0.powi(1023));
check(&(BigInt::from((1u64 << 53) - 1) << (1024 - 53)), f64::MAX);
@ -462,14 +510,18 @@ fn test_convert_f64() {
}
// rounding
assert_eq!(BigInt::from_f64(-f64::consts::PI),
Some(BigInt::from(-3i32)));
assert_eq!(
BigInt::from_f64(-f64::consts::PI),
Some(BigInt::from(-3i32))
);
assert_eq!(BigInt::from_f64(-f64::consts::E), Some(BigInt::from(-2i32)));
assert_eq!(BigInt::from_f64(-0.99999), Some(BigInt::zero()));
assert_eq!(BigInt::from_f64(-0.5), Some(BigInt::zero()));
assert_eq!(BigInt::from_f64(-0.0), Some(BigInt::zero()));
assert_eq!(BigInt::from_f64(f64::MIN_POSITIVE / 2.0),
Some(BigInt::zero()));
assert_eq!(
BigInt::from_f64(f64::MIN_POSITIVE / 2.0),
Some(BigInt::zero())
);
assert_eq!(BigInt::from_f64(f64::MIN_POSITIVE), Some(BigInt::zero()));
assert_eq!(BigInt::from_f64(0.5), Some(BigInt::zero()));
assert_eq!(BigInt::from_f64(0.99999), Some(BigInt::zero()));
@ -519,14 +571,18 @@ fn test_convert_from_uint() {
assert_eq!(BigInt::from($ty::one()), BigInt::one());
assert_eq!(BigInt::from($ty::MAX - $ty::one()), $max - BigInt::one());
assert_eq!(BigInt::from($ty::MAX), $max);
}
};
}
check!(u8, BigInt::from_slice(Plus, &[u8::MAX as BigDigit]));
check!(u16, BigInt::from_slice(Plus, &[u16::MAX as BigDigit]));
check!(u32, BigInt::from_slice(Plus, &[u32::MAX as BigDigit]));
check!(u64,
BigInt::from_slice(Plus, &[u32::MAX as BigDigit, u32::MAX as BigDigit]));
check!(u8, BigInt::from_slice(Plus, &[u8::MAX as u32]));
check!(u16, BigInt::from_slice(Plus, &[u16::MAX as u32]));
check!(u32, BigInt::from_slice(Plus, &[u32::MAX]));
check!(u64, BigInt::from_slice(Plus, &[u32::MAX, u32::MAX]));
#[cfg(has_i128)]
check!(
u128,
BigInt::from_slice(Plus, &[u32::MAX, u32::MAX, u32::MAX, u32::MAX])
);
check!(usize, BigInt::from(usize::MAX as u64));
}
@ -541,49 +597,52 @@ fn test_convert_from_int() {
assert_eq!(BigInt::from($ty::one()), BigInt::one());
assert_eq!(BigInt::from($ty::MAX - $ty::one()), $max - BigInt::one());
assert_eq!(BigInt::from($ty::MAX), $max);
}
};
}
check!(i8,
BigInt::from_slice(Minus, &[1 << 7]),
BigInt::from_slice(Plus, &[i8::MAX as BigDigit]));
check!(i16,
BigInt::from_slice(Minus, &[1 << 15]),
BigInt::from_slice(Plus, &[i16::MAX as BigDigit]));
check!(i32,
BigInt::from_slice(Minus, &[1 << 31]),
BigInt::from_slice(Plus, &[i32::MAX as BigDigit]));
check!(i64,
BigInt::from_slice(Minus, &[0, 1 << 31]),
BigInt::from_slice(Plus, &[u32::MAX as BigDigit, i32::MAX as BigDigit]));
check!(isize,
BigInt::from(isize::MIN as i64),
BigInt::from(isize::MAX as i64));
check!(
i8,
BigInt::from_slice(Minus, &[1 << 7]),
BigInt::from_slice(Plus, &[i8::MAX as u32])
);
check!(
i16,
BigInt::from_slice(Minus, &[1 << 15]),
BigInt::from_slice(Plus, &[i16::MAX as u32])
);
check!(
i32,
BigInt::from_slice(Minus, &[1 << 31]),
BigInt::from_slice(Plus, &[i32::MAX as u32])
);
check!(
i64,
BigInt::from_slice(Minus, &[0, 1 << 31]),
BigInt::from_slice(Plus, &[u32::MAX, i32::MAX as u32])
);
#[cfg(has_i128)]
check!(
i128,
BigInt::from_slice(Minus, &[0, 0, 0, 1 << 31]),
BigInt::from_slice(Plus, &[u32::MAX, u32::MAX, u32::MAX, i32::MAX as u32])
);
check!(
isize,
BigInt::from(isize::MIN as i64),
BigInt::from(isize::MAX as i64)
);
}
#[test]
fn test_convert_from_biguint() {
assert_eq!(BigInt::from(BigUint::zero()), BigInt::zero());
assert_eq!(BigInt::from(BigUint::one()), BigInt::one());
assert_eq!(BigInt::from(BigUint::from_slice(&[1, 2, 3])),
BigInt::from_slice(Plus, &[1, 2, 3]));
assert_eq!(
BigInt::from(BigUint::from_slice(&[1, 2, 3])),
BigInt::from_slice(Plus, &[1, 2, 3])
);
}
const N1: BigDigit = -1i32 as BigDigit;
const N2: BigDigit = -2i32 as BigDigit;
const SUM_TRIPLES: &'static [(&'static [BigDigit],
&'static [BigDigit],
&'static [BigDigit])] = &[(&[], &[], &[]),
(&[], &[1], &[1]),
(&[1], &[1], &[2]),
(&[1], &[1, 1], &[2, 1]),
(&[1], &[N1], &[0, 1]),
(&[1], &[N1, N1], &[0, 0, 1]),
(&[N1, N1], &[N1, N1], &[N2, N1, 1]),
(&[1, 1, 1], &[N1, N1], &[0, 1, 2]),
(&[2, 2, 1], &[N1, N2], &[1, 1, 2])];
#[test]
fn test_add() {
for elm in SUM_TRIPLES.iter() {
@ -601,26 +660,15 @@ fn test_add() {
assert_op!(b + nc == na);
assert_op!(na + nb == nc);
assert_op!(a + na == Zero::zero());
}
}
#[test]
fn test_scalar_add() {
for elm in SUM_TRIPLES.iter() {
let (a_vec, b_vec, c_vec) = *elm;
let a = BigInt::from_slice(Plus, a_vec);
let b = BigInt::from_slice(Plus, b_vec);
let c = BigInt::from_slice(Plus, c_vec);
let (na, nb, nc) = (-&a, -&b, -&c);
assert_scalar_op!(a + b == c);
assert_scalar_op!(b + a == c);
assert_scalar_op!(c + na == b);
assert_scalar_op!(c + nb == a);
assert_scalar_op!(a + nc == nb);
assert_scalar_op!(b + nc == na);
assert_scalar_op!(na + nb == nc);
assert_scalar_op!(a + na == Zero::zero());
assert_assign_op!(a += b == c);
assert_assign_op!(b += a == c);
assert_assign_op!(c += na == b);
assert_assign_op!(c += nb == a);
assert_assign_op!(a += nc == nb);
assert_assign_op!(b += nc == na);
assert_assign_op!(na += nb == nc);
assert_assign_op!(a += na == Zero::zero());
}
}
@ -641,66 +689,18 @@ fn test_sub() {
assert_op!(a - nb == c);
assert_op!(nc - na == nb);
assert_op!(a - a == Zero::zero());
assert_assign_op!(c -= a == b);
assert_assign_op!(c -= b == a);
assert_assign_op!(nb -= a == nc);
assert_assign_op!(na -= b == nc);
assert_assign_op!(b -= na == c);
assert_assign_op!(a -= nb == c);
assert_assign_op!(nc -= na == nb);
assert_assign_op!(a -= a == Zero::zero());
}
}
#[test]
fn test_scalar_sub() {
for elm in SUM_TRIPLES.iter() {
let (a_vec, b_vec, c_vec) = *elm;
let a = BigInt::from_slice(Plus, a_vec);
let b = BigInt::from_slice(Plus, b_vec);
let c = BigInt::from_slice(Plus, c_vec);
let (na, nb, nc) = (-&a, -&b, -&c);
assert_scalar_op!(c - a == b);
assert_scalar_op!(c - b == a);
assert_scalar_op!(nb - a == nc);
assert_scalar_op!(na - b == nc);
assert_scalar_op!(b - na == c);
assert_scalar_op!(a - nb == c);
assert_scalar_op!(nc - na == nb);
assert_scalar_op!(a - a == Zero::zero());
}
}
const M: u32 = ::std::u32::MAX;
static MUL_TRIPLES: &'static [(&'static [BigDigit],
&'static [BigDigit],
&'static [BigDigit])] = &[(&[], &[], &[]),
(&[], &[1], &[]),
(&[2], &[], &[]),
(&[1], &[1], &[1]),
(&[2], &[3], &[6]),
(&[1], &[1, 1, 1], &[1, 1, 1]),
(&[1, 2, 3], &[3], &[3, 6, 9]),
(&[1, 1, 1], &[N1], &[N1, N1, N1]),
(&[1, 2, 3], &[N1], &[N1, N2, N2, 2]),
(&[1, 2, 3, 4], &[N1], &[N1, N2, N2, N2, 3]),
(&[N1], &[N1], &[1, N2]),
(&[N1, N1], &[N1], &[1, N1, N2]),
(&[N1, N1, N1], &[N1], &[1, N1, N1, N2]),
(&[N1, N1, N1, N1], &[N1], &[1, N1, N1, N1, N2]),
(&[M / 2 + 1], &[2], &[0, 1]),
(&[0, M / 2 + 1], &[2], &[0, 0, 1]),
(&[1, 2], &[1, 2, 3], &[1, 4, 7, 6]),
(&[N1, N1], &[N1, N1, N1], &[1, 0, N1, N2, N1]),
(&[N1, N1, N1],
&[N1, N1, N1, N1],
&[1, 0, 0, N1, N2, N1, N1]),
(&[0, 0, 1], &[1, 2, 3], &[0, 0, 1, 2, 3]),
(&[0, 0, 1], &[0, 0, 0, 1], &[0, 0, 0, 0, 0, 1])];
static DIV_REM_QUADRUPLES: &'static [(&'static [BigDigit],
&'static [BigDigit],
&'static [BigDigit],
&'static [BigDigit])] = &[(&[1], &[2], &[], &[1]),
(&[3], &[2], &[1], &[1]),
(&[1, 1], &[2], &[M / 2 + 1], &[1]),
(&[1, 1, 1], &[2], &[M / 2 + 1, M / 2 + 1], &[1]),
(&[0, 1], &[N1], &[1], &[1]),
(&[N1, N1], &[N2], &[2, 1], &[3])];
#[test]
fn test_mul() {
for elm in MUL_TRIPLES.iter() {
@ -716,6 +716,13 @@ fn test_mul() {
assert_op!(na * b == nc);
assert_op!(nb * a == nc);
assert_assign_op!(a *= b == c);
assert_assign_op!(b *= a == c);
assert_assign_op!(na *= nb == c);
assert_assign_op!(na *= b == nc);
assert_assign_op!(nb *= a == nc);
}
for elm in DIV_REM_QUADRUPLES.iter() {
@ -730,30 +737,12 @@ fn test_mul() {
}
}
#[test]
fn test_scalar_mul() {
for elm in MUL_TRIPLES.iter() {
let (a_vec, b_vec, c_vec) = *elm;
let a = BigInt::from_slice(Plus, a_vec);
let b = BigInt::from_slice(Plus, b_vec);
let c = BigInt::from_slice(Plus, c_vec);
let (na, nb, nc) = (-&a, -&b, -&c);
assert_scalar_op!(a * b == c);
assert_scalar_op!(b * a == c);
assert_scalar_op!(na * nb == c);
assert_scalar_op!(na * b == nc);
assert_scalar_op!(nb * a == nc);
}
}
#[test]
fn test_div_mod_floor() {
fn check_sub(a: &BigInt, b: &BigInt, ans_d: &BigInt, ans_m: &BigInt) {
let (d, m) = a.div_mod_floor(b);
if !m.is_zero() {
assert_eq!(m.sign, b.sign);
assert_eq!(m.sign(), b.sign());
}
assert!(m.abs() <= b.abs());
assert!(*a == b * &d + &m);
@ -803,13 +792,12 @@ fn test_div_mod_floor() {
}
}
#[test]
fn test_div_rem() {
fn check_sub(a: &BigInt, b: &BigInt, ans_q: &BigInt, ans_r: &BigInt) {
let (q, r) = a.div_rem(b);
if !r.is_zero() {
assert_eq!(r.sign, a.sign);
assert_eq!(r.sign(), a.sign());
}
assert!(r.abs() <= b.abs());
assert!(*a == b * &q + &r);
@ -819,6 +807,8 @@ fn test_div_rem() {
let (a, b, ans_q, ans_r) = (a.clone(), b.clone(), ans_q.clone(), ans_r.clone());
assert_op!(a / b == ans_q);
assert_op!(a % b == ans_r);
assert_assign_op!(a /= b == ans_q);
assert_assign_op!(a %= b == ans_r);
}
fn check(a: &BigInt, b: &BigInt, q: &BigInt, r: &BigInt) {
@ -854,65 +844,6 @@ fn test_div_rem() {
}
}
#[test]
fn test_scalar_div_rem() {
fn check_sub(a: &BigInt, b: BigDigit, ans_q: &BigInt, ans_r: &BigInt) {
let (q, r) = (a / b, a % b);
if !r.is_zero() {
assert_eq!(r.sign, a.sign);
}
assert!(r.abs() <= From::from(b));
assert!(*a == b * &q + &r);
assert!(q == *ans_q);
assert!(r == *ans_r);
let (a, b, ans_q, ans_r) = (a.clone(), b.clone(), ans_q.clone(), ans_r.clone());
assert_op!(a / b == ans_q);
assert_op!(a % b == ans_r);
if b <= i32::max_value() as u32 {
let nb = -(b as i32);
assert_op!(a / nb == -ans_q.clone());
assert_op!(a % nb == ans_r);
}
}
fn check(a: &BigInt, b: BigDigit, q: &BigInt, r: &BigInt) {
check_sub(a, b, q, r);
check_sub(&a.neg(), b, &q.neg(), &r.neg());
}
for elm in MUL_TRIPLES.iter() {
let (a_vec, b_vec, c_vec) = *elm;
let a = BigInt::from_slice(Plus, a_vec);
let b = BigInt::from_slice(Plus, b_vec);
let c = BigInt::from_slice(Plus, c_vec);
if a_vec.len() == 1 && a_vec[0] != 0 {
let a = a_vec[0];
check(&c, a, &b, &Zero::zero());
}
if b_vec.len() == 1 && b_vec[0] != 0 {
let b = b_vec[0];
check(&c, b, &a, &Zero::zero());
}
}
for elm in DIV_REM_QUADRUPLES.iter() {
let (a_vec, b_vec, c_vec, d_vec) = *elm;
let a = BigInt::from_slice(Plus, a_vec);
let c = BigInt::from_slice(Plus, c_vec);
let d = BigInt::from_slice(Plus, d_vec);
if b_vec.len() == 1 && b_vec[0] != 0 {
let b = b_vec[0];
check(&a, b, &c, &d);
}
}
}
#[test]
fn test_checked_add() {
for elm in SUM_TRIPLES.iter() {
@ -1031,6 +962,7 @@ fn test_lcm() {
assert_eq!(big_a.lcm(&big_b), big_c);
}
check(0, 0, 0);
check(1, 0, 0);
check(0, 1, 0);
check(1, 1, 1);
@ -1081,7 +1013,9 @@ fn test_from_str_radix() {
// issue 10522, this hit an edge case that caused it to
// attempt to allocate a vector of size (-1u) == huge.
let x: BigInt = format!("1{}", repeat("0").take(36).collect::<String>()).parse().unwrap();
let x: BigInt = format!("1{}", repeat("0").take(36).collect::<String>())
.parse()
.unwrap();
let _y = x.to_string();
}
@ -1111,8 +1045,10 @@ fn test_binary() {
let hello = BigInt::parse_bytes("-224055342307539".as_bytes(), 10).unwrap();
assert_eq!(format!("{:b}", a), "1010");
assert_eq!(format!("{:b}", hello),
"-110010111100011011110011000101101001100011010011");
assert_eq!(
format!("{:b}", hello),
"-110010111100011011110011000101101001100011010011"
);
assert_eq!(format!("{:♥>+#8b}", a), "♥+0b1010");
}
@ -1145,50 +1081,113 @@ fn test_neg() {
}
#[test]
fn test_rand() {
let mut rng = thread_rng();
let _n: BigInt = rng.gen_bigint(137);
assert!(rng.gen_bigint(0).is_zero());
fn test_negative_shr() {
assert_eq!(BigInt::from(-1) >> 1, BigInt::from(-1));
assert_eq!(BigInt::from(-2) >> 1, BigInt::from(-1));
assert_eq!(BigInt::from(-3) >> 1, BigInt::from(-2));
assert_eq!(BigInt::from(-3) >> 2, BigInt::from(-1));
}
#[test]
fn test_rand_range() {
let mut rng = thread_rng();
#[cfg(feature = "rand")]
fn test_random_shr() {
use rand::distributions::Standard;
use rand::Rng;
let mut rng = rand::thread_rng();
for _ in 0..10 {
assert_eq!(rng.gen_bigint_range(&FromPrimitive::from_usize(236).unwrap(),
&FromPrimitive::from_usize(237).unwrap()),
FromPrimitive::from_usize(236).unwrap());
}
fn check(l: BigInt, u: BigInt) {
let mut rng = thread_rng();
for _ in 0..1000 {
let n: BigInt = rng.gen_bigint_range(&l, &u);
assert!(n >= l);
assert!(n < u);
for p in rng.sample_iter::<i64, _>(&Standard).take(1000) {
let big = BigInt::from(p);
let bigger = &big << 1000;
assert_eq!(&bigger >> 1000, big);
for i in 0..64 {
let answer = BigInt::from(p >> i);
assert_eq!(&big >> i, answer);
assert_eq!(&bigger >> (1000 + i), answer);
}
}
let l: BigInt = FromPrimitive::from_usize(403469000 + 2352).unwrap();
let u: BigInt = FromPrimitive::from_usize(403469000 + 3513).unwrap();
check(l.clone(), u.clone());
check(-l.clone(), u.clone());
check(-u.clone(), -l.clone());
}
#[test]
#[should_panic]
fn test_zero_rand_range() {
thread_rng().gen_bigint_range(&FromPrimitive::from_isize(54).unwrap(),
&FromPrimitive::from_isize(54).unwrap());
fn test_iter_sum() {
let result: BigInt = FromPrimitive::from_isize(-1234567).unwrap();
let data: Vec<BigInt> = vec![
FromPrimitive::from_i32(-1000000).unwrap(),
FromPrimitive::from_i32(-200000).unwrap(),
FromPrimitive::from_i32(-30000).unwrap(),
FromPrimitive::from_i32(-4000).unwrap(),
FromPrimitive::from_i32(-500).unwrap(),
FromPrimitive::from_i32(-60).unwrap(),
FromPrimitive::from_i32(-7).unwrap(),
];
assert_eq!(result, data.iter().sum());
assert_eq!(result, data.into_iter().sum());
}
#[test]
#[should_panic]
fn test_negative_rand_range() {
let mut rng = thread_rng();
let l = FromPrimitive::from_usize(2352).unwrap();
let u = FromPrimitive::from_usize(3513).unwrap();
// Switching u and l should fail:
let _n: BigInt = rng.gen_bigint_range(&u, &l);
fn test_iter_product() {
let data: Vec<BigInt> = vec![
FromPrimitive::from_i32(1001).unwrap(),
FromPrimitive::from_i32(-1002).unwrap(),
FromPrimitive::from_i32(1003).unwrap(),
FromPrimitive::from_i32(-1004).unwrap(),
FromPrimitive::from_i32(1005).unwrap(),
];
let result = data.get(0).unwrap()
* data.get(1).unwrap()
* data.get(2).unwrap()
* data.get(3).unwrap()
* data.get(4).unwrap();
assert_eq!(result, data.iter().product());
assert_eq!(result, data.into_iter().product());
}
#[test]
fn test_iter_sum_generic() {
let result: BigInt = FromPrimitive::from_isize(-1234567).unwrap();
let data = vec![-1000000, -200000, -30000, -4000, -500, -60, -7];
assert_eq!(result, data.iter().sum());
assert_eq!(result, data.into_iter().sum());
}
#[test]
fn test_iter_product_generic() {
let data = vec![1001, -1002, 1003, -1004, 1005];
let result = data[0].to_bigint().unwrap()
* data[1].to_bigint().unwrap()
* data[2].to_bigint().unwrap()
* data[3].to_bigint().unwrap()
* data[4].to_bigint().unwrap();
assert_eq!(result, data.iter().product());
assert_eq!(result, data.into_iter().product());
}
#[test]
fn test_pow() {
let one = BigInt::from(1i32);
let two = BigInt::from(2i32);
let four = BigInt::from(4i32);
let eight = BigInt::from(8i32);
let minus_two = BigInt::from(-2i32);
macro_rules! check {
($t:ty) => {
assert_eq!(two.pow(0 as $t), one);
assert_eq!(two.pow(1 as $t), two);
assert_eq!(two.pow(2 as $t), four);
assert_eq!(two.pow(3 as $t), eight);
assert_eq!(two.pow(&(3 as $t)), eight);
assert_eq!(minus_two.pow(0 as $t), one, "-2^0");
assert_eq!(minus_two.pow(1 as $t), minus_two, "-2^1");
assert_eq!(minus_two.pow(2 as $t), four, "-2^2");
assert_eq!(minus_two.pow(3 as $t), -&eight, "-2^3");
};
}
check!(u8);
check!(u16);
check!(u32);
check!(u64);
check!(usize);
}

181
third_party/rust/num-bigint/tests/bigint_bitwise.rs поставляемый Normal file
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extern crate num_bigint;
extern crate num_traits;
use num_bigint::{BigInt, Sign, ToBigInt};
use num_traits::ToPrimitive;
use std::{i32, i64, u32};
enum ValueVec {
N,
P(&'static [u32]),
M(&'static [u32]),
}
use ValueVec::*;
impl ToBigInt for ValueVec {
fn to_bigint(&self) -> Option<BigInt> {
match self {
&N => Some(BigInt::from_slice(Sign::NoSign, &[])),
&P(s) => Some(BigInt::from_slice(Sign::Plus, s)),
&M(s) => Some(BigInt::from_slice(Sign::Minus, s)),
}
}
}
// a, !a
const NOT_VALUES: &'static [(ValueVec, ValueVec)] = &[
(N, M(&[1])),
(P(&[1]), M(&[2])),
(P(&[2]), M(&[3])),
(P(&[!0 - 2]), M(&[!0 - 1])),
(P(&[!0 - 1]), M(&[!0])),
(P(&[!0]), M(&[0, 1])),
(P(&[0, 1]), M(&[1, 1])),
(P(&[1, 1]), M(&[2, 1])),
];
// a, b, a & b, a | b, a ^ b
const BITWISE_VALUES: &'static [(ValueVec, ValueVec, ValueVec, ValueVec, ValueVec)] = &[
(N, N, N, N, N),
(N, P(&[1]), N, P(&[1]), P(&[1])),
(N, P(&[!0]), N, P(&[!0]), P(&[!0])),
(N, P(&[0, 1]), N, P(&[0, 1]), P(&[0, 1])),
(N, M(&[1]), N, M(&[1]), M(&[1])),
(N, M(&[!0]), N, M(&[!0]), M(&[!0])),
(N, M(&[0, 1]), N, M(&[0, 1]), M(&[0, 1])),
(P(&[1]), P(&[!0]), P(&[1]), P(&[!0]), P(&[!0 - 1])),
(P(&[!0]), P(&[!0]), P(&[!0]), P(&[!0]), N),
(P(&[!0]), P(&[1, 1]), P(&[1]), P(&[!0, 1]), P(&[!0 - 1, 1])),
(P(&[1]), M(&[!0]), P(&[1]), M(&[!0]), M(&[0, 1])),
(P(&[!0]), M(&[1]), P(&[!0]), M(&[1]), M(&[0, 1])),
(P(&[!0]), M(&[!0]), P(&[1]), M(&[1]), M(&[2])),
(P(&[!0]), M(&[1, 1]), P(&[!0]), M(&[1, 1]), M(&[0, 2])),
(P(&[1, 1]), M(&[!0]), P(&[1, 1]), M(&[!0]), M(&[0, 2])),
(M(&[1]), M(&[!0]), M(&[!0]), M(&[1]), P(&[!0 - 1])),
(M(&[!0]), M(&[!0]), M(&[!0]), M(&[!0]), N),
(M(&[!0]), M(&[1, 1]), M(&[!0, 1]), M(&[1]), P(&[!0 - 1, 1])),
];
const I32_MIN: i64 = i32::MIN as i64;
const I32_MAX: i64 = i32::MAX as i64;
const U32_MAX: i64 = u32::MAX as i64;
// some corner cases
const I64_VALUES: &'static [i64] = &[
i64::MIN,
i64::MIN + 1,
i64::MIN + 2,
i64::MIN + 3,
-U32_MAX - 3,
-U32_MAX - 2,
-U32_MAX - 1,
-U32_MAX,
-U32_MAX + 1,
-U32_MAX + 2,
-U32_MAX + 3,
I32_MIN - 3,
I32_MIN - 2,
I32_MIN - 1,
I32_MIN,
I32_MIN + 1,
I32_MIN + 2,
I32_MIN + 3,
-3,
-2,
-1,
0,
1,
2,
3,
I32_MAX - 3,
I32_MAX - 2,
I32_MAX - 1,
I32_MAX,
I32_MAX + 1,
I32_MAX + 2,
I32_MAX + 3,
U32_MAX - 3,
U32_MAX - 2,
U32_MAX - 1,
U32_MAX,
U32_MAX + 1,
U32_MAX + 2,
U32_MAX + 3,
i64::MAX - 3,
i64::MAX - 2,
i64::MAX - 1,
i64::MAX,
];
#[test]
fn test_not() {
for &(ref a, ref not) in NOT_VALUES.iter() {
let a = a.to_bigint().unwrap();
let not = not.to_bigint().unwrap();
// sanity check for tests that fit in i64
if let (Some(prim_a), Some(prim_not)) = (a.to_i64(), not.to_i64()) {
assert_eq!(!prim_a, prim_not);
}
assert_eq!(!a.clone(), not, "!{:x}", a);
assert_eq!(!not.clone(), a, "!{:x}", not);
}
}
#[test]
fn test_not_i64() {
for &prim_a in I64_VALUES.iter() {
let a = prim_a.to_bigint().unwrap();
let not = (!prim_a).to_bigint().unwrap();
assert_eq!(!a.clone(), not, "!{:x}", a);
}
}
#[test]
fn test_bitwise() {
for &(ref a, ref b, ref and, ref or, ref xor) in BITWISE_VALUES.iter() {
let a = a.to_bigint().unwrap();
let b = b.to_bigint().unwrap();
let and = and.to_bigint().unwrap();
let or = or.to_bigint().unwrap();
let xor = xor.to_bigint().unwrap();
// sanity check for tests that fit in i64
if let (Some(prim_a), Some(prim_b)) = (a.to_i64(), b.to_i64()) {
if let Some(prim_and) = and.to_i64() {
assert_eq!(prim_a & prim_b, prim_and);
}
if let Some(prim_or) = or.to_i64() {
assert_eq!(prim_a | prim_b, prim_or);
}
if let Some(prim_xor) = xor.to_i64() {
assert_eq!(prim_a ^ prim_b, prim_xor);
}
}
assert_eq!(a.clone() & &b, and, "{:x} & {:x}", a, b);
assert_eq!(b.clone() & &a, and, "{:x} & {:x}", b, a);
assert_eq!(a.clone() | &b, or, "{:x} | {:x}", a, b);
assert_eq!(b.clone() | &a, or, "{:x} | {:x}", b, a);
assert_eq!(a.clone() ^ &b, xor, "{:x} ^ {:x}", a, b);
assert_eq!(b.clone() ^ &a, xor, "{:x} ^ {:x}", b, a);
}
}
#[test]
fn test_bitwise_i64() {
for &prim_a in I64_VALUES.iter() {
let a = prim_a.to_bigint().unwrap();
for &prim_b in I64_VALUES.iter() {
let b = prim_b.to_bigint().unwrap();
let and = (prim_a & prim_b).to_bigint().unwrap();
let or = (prim_a | prim_b).to_bigint().unwrap();
let xor = (prim_a ^ prim_b).to_bigint().unwrap();
assert_eq!(a.clone() & &b, and, "{:x} & {:x}", a, b);
assert_eq!(a.clone() | &b, or, "{:x} | {:x}", a, b);
assert_eq!(a.clone() ^ &b, xor, "{:x} ^ {:x}", a, b);
}
}
}

145
third_party/rust/num-bigint/tests/bigint_scalar.rs поставляемый Normal file
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@ -0,0 +1,145 @@
extern crate num_bigint;
extern crate num_traits;
use num_bigint::BigInt;
use num_bigint::Sign::Plus;
use num_traits::{Signed, ToPrimitive, Zero};
use std::ops::Neg;
mod consts;
use consts::*;
#[macro_use]
mod macros;
#[test]
fn test_scalar_add() {
fn check(x: &BigInt, y: &BigInt, z: &BigInt) {
let (x, y, z) = (x.clone(), y.clone(), z.clone());
assert_signed_scalar_op!(x + y == z);
}
for elm in SUM_TRIPLES.iter() {
let (a_vec, b_vec, c_vec) = *elm;
let a = BigInt::from_slice(Plus, a_vec);
let b = BigInt::from_slice(Plus, b_vec);
let c = BigInt::from_slice(Plus, c_vec);
let (na, nb, nc) = (-&a, -&b, -&c);
check(&a, &b, &c);
check(&b, &a, &c);
check(&c, &na, &b);
check(&c, &nb, &a);
check(&a, &nc, &nb);
check(&b, &nc, &na);
check(&na, &nb, &nc);
check(&a, &na, &Zero::zero());
}
}
#[test]
fn test_scalar_sub() {
fn check(x: &BigInt, y: &BigInt, z: &BigInt) {
let (x, y, z) = (x.clone(), y.clone(), z.clone());
assert_signed_scalar_op!(x - y == z);
}
for elm in SUM_TRIPLES.iter() {
let (a_vec, b_vec, c_vec) = *elm;
let a = BigInt::from_slice(Plus, a_vec);
let b = BigInt::from_slice(Plus, b_vec);
let c = BigInt::from_slice(Plus, c_vec);
let (na, nb, nc) = (-&a, -&b, -&c);
check(&c, &a, &b);
check(&c, &b, &a);
check(&nb, &a, &nc);
check(&na, &b, &nc);
check(&b, &na, &c);
check(&a, &nb, &c);
check(&nc, &na, &nb);
check(&a, &a, &Zero::zero());
}
}
#[test]
fn test_scalar_mul() {
fn check(x: &BigInt, y: &BigInt, z: &BigInt) {
let (x, y, z) = (x.clone(), y.clone(), z.clone());
assert_signed_scalar_op!(x * y == z);
}
for elm in MUL_TRIPLES.iter() {
let (a_vec, b_vec, c_vec) = *elm;
let a = BigInt::from_slice(Plus, a_vec);
let b = BigInt::from_slice(Plus, b_vec);
let c = BigInt::from_slice(Plus, c_vec);
let (na, nb, nc) = (-&a, -&b, -&c);
check(&a, &b, &c);
check(&b, &a, &c);
check(&na, &nb, &c);
check(&na, &b, &nc);
check(&nb, &a, &nc);
}
}
#[test]
fn test_scalar_div_rem() {
fn check_sub(a: &BigInt, b: u32, ans_q: &BigInt, ans_r: &BigInt) {
let (q, r) = (a / b, a % b);
if !r.is_zero() {
assert_eq!(r.sign(), a.sign());
}
assert!(r.abs() <= From::from(b));
assert!(*a == b * &q + &r);
assert!(q == *ans_q);
assert!(r == *ans_r);
let (a, b, ans_q, ans_r) = (a.clone(), b.clone(), ans_q.clone(), ans_r.clone());
assert_op!(a / b == ans_q);
assert_op!(a % b == ans_r);
if b <= i32::max_value() as u32 {
let nb = -(b as i32);
assert_op!(a / nb == -ans_q.clone());
assert_op!(a % nb == ans_r);
}
}
fn check(a: &BigInt, b: u32, q: &BigInt, r: &BigInt) {
check_sub(a, b, q, r);
check_sub(&a.neg(), b, &q.neg(), &r.neg());
}
for elm in MUL_TRIPLES.iter() {
let (a_vec, b_vec, c_vec) = *elm;
let a = BigInt::from_slice(Plus, a_vec);
let b = BigInt::from_slice(Plus, b_vec);
let c = BigInt::from_slice(Plus, c_vec);
if a_vec.len() == 1 && a_vec[0] != 0 {
let a = a_vec[0];
check(&c, a, &b, &Zero::zero());
}
if b_vec.len() == 1 && b_vec[0] != 0 {
let b = b_vec[0];
check(&c, b, &a, &Zero::zero());
}
}
for elm in DIV_REM_QUADRUPLES.iter() {
let (a_vec, b_vec, c_vec, d_vec) = *elm;
let a = BigInt::from_slice(Plus, a_vec);
let c = BigInt::from_slice(Plus, c_vec);
let d = BigInt::from_slice(Plus, d_vec);
if b_vec.len() == 1 && b_vec[0] != 0 {
let b = b_vec[0];
check(&a, b, &c, &d);
}
}
}

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109
third_party/rust/num-bigint/tests/biguint_scalar.rs поставляемый Normal file
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@ -0,0 +1,109 @@
extern crate num_bigint;
extern crate num_traits;
use num_bigint::BigUint;
use num_traits::{ToPrimitive, Zero};
mod consts;
use consts::*;
#[macro_use]
mod macros;
#[test]
fn test_scalar_add() {
fn check(x: &BigUint, y: &BigUint, z: &BigUint) {
let (x, y, z) = (x.clone(), y.clone(), z.clone());
assert_unsigned_scalar_op!(x + y == z);
}
for elm in SUM_TRIPLES.iter() {
let (a_vec, b_vec, c_vec) = *elm;
let a = BigUint::from_slice(a_vec);
let b = BigUint::from_slice(b_vec);
let c = BigUint::from_slice(c_vec);
check(&a, &b, &c);
check(&b, &a, &c);
}
}
#[test]
fn test_scalar_sub() {
fn check(x: &BigUint, y: &BigUint, z: &BigUint) {
let (x, y, z) = (x.clone(), y.clone(), z.clone());
assert_unsigned_scalar_op!(x - y == z);
}
for elm in SUM_TRIPLES.iter() {
let (a_vec, b_vec, c_vec) = *elm;
let a = BigUint::from_slice(a_vec);
let b = BigUint::from_slice(b_vec);
let c = BigUint::from_slice(c_vec);
check(&c, &a, &b);
check(&c, &b, &a);
}
}
#[test]
fn test_scalar_mul() {
fn check(x: &BigUint, y: &BigUint, z: &BigUint) {
let (x, y, z) = (x.clone(), y.clone(), z.clone());
assert_unsigned_scalar_op!(x * y == z);
}
for elm in MUL_TRIPLES.iter() {
let (a_vec, b_vec, c_vec) = *elm;
let a = BigUint::from_slice(a_vec);
let b = BigUint::from_slice(b_vec);
let c = BigUint::from_slice(c_vec);
check(&a, &b, &c);
check(&b, &a, &c);
}
}
#[test]
fn test_scalar_rem_noncommutative() {
assert_eq!(5u8 % BigUint::from(7u8), 5u8.into());
assert_eq!(BigUint::from(5u8) % 7u8, 5u8.into());
}
#[test]
fn test_scalar_div_rem() {
fn check(x: &BigUint, y: &BigUint, z: &BigUint, r: &BigUint) {
let (x, y, z, r) = (x.clone(), y.clone(), z.clone(), r.clone());
assert_unsigned_scalar_op!(x / y == z);
assert_unsigned_scalar_op!(x % y == r);
}
for elm in MUL_TRIPLES.iter() {
let (a_vec, b_vec, c_vec) = *elm;
let a = BigUint::from_slice(a_vec);
let b = BigUint::from_slice(b_vec);
let c = BigUint::from_slice(c_vec);
if !a.is_zero() {
check(&c, &a, &b, &Zero::zero());
}
if !b.is_zero() {
check(&c, &b, &a, &Zero::zero());
}
}
for elm in DIV_REM_QUADRUPLES.iter() {
let (a_vec, b_vec, c_vec, d_vec) = *elm;
let a = BigUint::from_slice(a_vec);
let b = BigUint::from_slice(b_vec);
let c = BigUint::from_slice(c_vec);
let d = BigUint::from_slice(d_vec);
if !b.is_zero() {
check(&a, &b, &c, &d);
assert_unsigned_scalar_op!(a / b == c);
assert_unsigned_scalar_op!(a % b == d);
}
}
}

56
third_party/rust/num-bigint/tests/consts/mod.rs поставляемый Normal file
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@ -0,0 +1,56 @@
#![allow(unused)]
pub const N1: u32 = -1i32 as u32;
pub const N2: u32 = -2i32 as u32;
pub const SUM_TRIPLES: &'static [(&'static [u32], &'static [u32], &'static [u32])] = &[
(&[], &[], &[]),
(&[], &[1], &[1]),
(&[1], &[1], &[2]),
(&[1], &[1, 1], &[2, 1]),
(&[1], &[N1], &[0, 1]),
(&[1], &[N1, N1], &[0, 0, 1]),
(&[N1, N1], &[N1, N1], &[N2, N1, 1]),
(&[1, 1, 1], &[N1, N1], &[0, 1, 2]),
(&[2, 2, 1], &[N1, N2], &[1, 1, 2]),
(&[1, 2, 2, 1], &[N1, N2], &[0, 1, 3, 1]),
];
pub const M: u32 = ::std::u32::MAX;
pub const MUL_TRIPLES: &'static [(&'static [u32], &'static [u32], &'static [u32])] = &[
(&[], &[], &[]),
(&[], &[1], &[]),
(&[2], &[], &[]),
(&[1], &[1], &[1]),
(&[2], &[3], &[6]),
(&[1], &[1, 1, 1], &[1, 1, 1]),
(&[1, 2, 3], &[3], &[3, 6, 9]),
(&[1, 1, 1], &[N1], &[N1, N1, N1]),
(&[1, 2, 3], &[N1], &[N1, N2, N2, 2]),
(&[1, 2, 3, 4], &[N1], &[N1, N2, N2, N2, 3]),
(&[N1], &[N1], &[1, N2]),
(&[N1, N1], &[N1], &[1, N1, N2]),
(&[N1, N1, N1], &[N1], &[1, N1, N1, N2]),
(&[N1, N1, N1, N1], &[N1], &[1, N1, N1, N1, N2]),
(&[M / 2 + 1], &[2], &[0, 1]),
(&[0, M / 2 + 1], &[2], &[0, 0, 1]),
(&[1, 2], &[1, 2, 3], &[1, 4, 7, 6]),
(&[N1, N1], &[N1, N1, N1], &[1, 0, N1, N2, N1]),
(&[N1, N1, N1], &[N1, N1, N1, N1], &[1, 0, 0, N1, N2, N1, N1]),
(&[0, 0, 1], &[1, 2, 3], &[0, 0, 1, 2, 3]),
(&[0, 0, 1], &[0, 0, 0, 1], &[0, 0, 0, 0, 0, 1]),
];
pub const DIV_REM_QUADRUPLES: &'static [(
&'static [u32],
&'static [u32],
&'static [u32],
&'static [u32],
)] = &[
(&[1], &[2], &[], &[1]),
(&[3], &[2], &[1], &[1]),
(&[1, 1], &[2], &[M / 2 + 1], &[1]),
(&[1, 1, 1], &[2], &[M / 2 + 1, M / 2 + 1], &[1]),
(&[0, 1], &[N1], &[1], &[1]),
(&[N1, N1], &[N2], &[2, 1], &[3]),
];

70
third_party/rust/num-bigint/tests/macros/mod.rs поставляемый Normal file
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@ -0,0 +1,70 @@
#![allow(unused)]
/// Assert that an op works for all val/ref combinations
macro_rules! assert_op {
($left:ident $op:tt $right:ident == $expected:expr) => {
assert_eq!((&$left) $op (&$right), $expected);
assert_eq!((&$left) $op $right.clone(), $expected);
assert_eq!($left.clone() $op (&$right), $expected);
assert_eq!($left.clone() $op $right.clone(), $expected);
};
}
/// Assert that an assign-op works for all val/ref combinations
macro_rules! assert_assign_op {
($left:ident $op:tt $right:ident == $expected:expr) => {{
let mut left = $left.clone();
assert_eq!({ left $op &$right; left}, $expected);
let mut left = $left.clone();
assert_eq!({ left $op $right.clone(); left}, $expected);
}};
}
/// Assert that an op works for scalar left or right
macro_rules! assert_scalar_op {
(($($to:ident),*) $left:ident $op:tt $right:ident == $expected:expr) => {
$(
if let Some(left) = $left.$to() {
assert_op!(left $op $right == $expected);
}
if let Some(right) = $right.$to() {
assert_op!($left $op right == $expected);
}
)*
};
}
#[cfg(not(has_i128))]
macro_rules! assert_unsigned_scalar_op {
($left:ident $op:tt $right:ident == $expected:expr) => {
assert_scalar_op!((to_u8, to_u16, to_u32, to_u64, to_usize)
$left $op $right == $expected);
};
}
#[cfg(has_i128)]
macro_rules! assert_unsigned_scalar_op {
($left:ident $op:tt $right:ident == $expected:expr) => {
assert_scalar_op!((to_u8, to_u16, to_u32, to_u64, to_usize, to_u128)
$left $op $right == $expected);
};
}
#[cfg(not(has_i128))]
macro_rules! assert_signed_scalar_op {
($left:ident $op:tt $right:ident == $expected:expr) => {
assert_scalar_op!((to_u8, to_u16, to_u32, to_u64, to_usize,
to_i8, to_i16, to_i32, to_i64, to_isize)
$left $op $right == $expected);
};
}
#[cfg(has_i128)]
macro_rules! assert_signed_scalar_op {
($left:ident $op:tt $right:ident == $expected:expr) => {
assert_scalar_op!((to_u8, to_u16, to_u32, to_u64, to_usize, to_u128,
to_i8, to_i16, to_i32, to_i64, to_isize, to_i128)
$left $op $right == $expected);
};
}

90
third_party/rust/num-bigint/tests/modpow.rs поставляемый
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@ -3,58 +3,58 @@ extern crate num_integer;
extern crate num_traits;
static BIG_B: &'static str = "\
efac3c0a_0de55551_fee0bfe4_67fa017a_1a898fa1_6ca57cb1\
ca9e3248_cacc09a9_b99d6abc_38418d0f_82ae4238_d9a68832\
aadec7c1_ac5fed48_7a56a71b_67ac59d5_afb28022_20d9592d\
247c4efc_abbd9b75_586088ee_1dc00dc4_232a8e15_6e8191dd\
675b6ae0_c80f5164_752940bc_284b7cee_885c1e10_e495345b\
8fbe9cfd_e5233fe1_19459d0b_d64be53c_27de5a02_a829976b\
33096862_82dad291_bd38b6a9_be396646_ddaf8039_a2573c39\
1b14e8bc_2cb53e48_298c047e_d9879e9c_5a521076_f0e27df3\
990e1659_d3d8205b_6443ebc0_9918ebee_6764f668_9f2b2be3\
b59cbc76_d76d0dfc_d737c3ec_0ccf9c00_ad0554bf_17e776ad\
b4edf9cc_6ce540be_76229093_5c53893b";
efac3c0a_0de55551_fee0bfe4_67fa017a_1a898fa1_6ca57cb1\
ca9e3248_cacc09a9_b99d6abc_38418d0f_82ae4238_d9a68832\
aadec7c1_ac5fed48_7a56a71b_67ac59d5_afb28022_20d9592d\
247c4efc_abbd9b75_586088ee_1dc00dc4_232a8e15_6e8191dd\
675b6ae0_c80f5164_752940bc_284b7cee_885c1e10_e495345b\
8fbe9cfd_e5233fe1_19459d0b_d64be53c_27de5a02_a829976b\
33096862_82dad291_bd38b6a9_be396646_ddaf8039_a2573c39\
1b14e8bc_2cb53e48_298c047e_d9879e9c_5a521076_f0e27df3\
990e1659_d3d8205b_6443ebc0_9918ebee_6764f668_9f2b2be3\
b59cbc76_d76d0dfc_d737c3ec_0ccf9c00_ad0554bf_17e776ad\
b4edf9cc_6ce540be_76229093_5c53893b";
static BIG_E: &'static str = "\
be0e6ea6_08746133_e0fbc1bf_82dba91e_e2b56231_a81888d2\
a833a1fc_f7ff002a_3c486a13_4f420bf3_a5435be9_1a5c8391\
774d6e6c_085d8357_b0c97d4d_2bb33f7c_34c68059_f78d2541\
eacc8832_426f1816_d3be001e_b69f9242_51c7708e_e10efe98\
449c9a4a_b55a0f23_9d797410_515da00d_3ea07970_4478a2ca\
c3d5043c_bd9be1b4_6dce479d_4302d344_84a939e6_0ab5ada7\
12ae34b2_30cc473c_9f8ee69d_2cac5970_29f5bf18_bc8203e4\
f3e895a2_13c94f1e_24c73d77_e517e801_53661fdd_a2ce9e47\
a73dd7f8_2f2adb1e_3f136bf7_8ae5f3b8_08730de1_a4eff678\
e77a06d0_19a522eb_cbefba2a_9caf7736_b157c5c6_2d192591\
17946850_2ddb1822_117b68a0_32f7db88";
be0e6ea6_08746133_e0fbc1bf_82dba91e_e2b56231_a81888d2\
a833a1fc_f7ff002a_3c486a13_4f420bf3_a5435be9_1a5c8391\
774d6e6c_085d8357_b0c97d4d_2bb33f7c_34c68059_f78d2541\
eacc8832_426f1816_d3be001e_b69f9242_51c7708e_e10efe98\
449c9a4a_b55a0f23_9d797410_515da00d_3ea07970_4478a2ca\
c3d5043c_bd9be1b4_6dce479d_4302d344_84a939e6_0ab5ada7\
12ae34b2_30cc473c_9f8ee69d_2cac5970_29f5bf18_bc8203e4\
f3e895a2_13c94f1e_24c73d77_e517e801_53661fdd_a2ce9e47\
a73dd7f8_2f2adb1e_3f136bf7_8ae5f3b8_08730de1_a4eff678\
e77a06d0_19a522eb_cbefba2a_9caf7736_b157c5c6_2d192591\
17946850_2ddb1822_117b68a0_32f7db88";
// This modulus is the prime from the 2048-bit MODP DH group:
// https://tools.ietf.org/html/rfc3526#section-3
static BIG_M: &'static str = "\
FFFFFFFF_FFFFFFFF_C90FDAA2_2168C234_C4C6628B_80DC1CD1\
29024E08_8A67CC74_020BBEA6_3B139B22_514A0879_8E3404DD\
EF9519B3_CD3A431B_302B0A6D_F25F1437_4FE1356D_6D51C245\
E485B576_625E7EC6_F44C42E9_A637ED6B_0BFF5CB6_F406B7ED\
EE386BFB_5A899FA5_AE9F2411_7C4B1FE6_49286651_ECE45B3D\
C2007CB8_A163BF05_98DA4836_1C55D39A_69163FA8_FD24CF5F\
83655D23_DCA3AD96_1C62F356_208552BB_9ED52907_7096966D\
670C354E_4ABC9804_F1746C08_CA18217C_32905E46_2E36CE3B\
E39E772C_180E8603_9B2783A2_EC07A28F_B5C55DF0_6F4C52C9\
DE2BCBF6_95581718_3995497C_EA956AE5_15D22618_98FA0510\
15728E5A_8AACAA68_FFFFFFFF_FFFFFFFF";
FFFFFFFF_FFFFFFFF_C90FDAA2_2168C234_C4C6628B_80DC1CD1\
29024E08_8A67CC74_020BBEA6_3B139B22_514A0879_8E3404DD\
EF9519B3_CD3A431B_302B0A6D_F25F1437_4FE1356D_6D51C245\
E485B576_625E7EC6_F44C42E9_A637ED6B_0BFF5CB6_F406B7ED\
EE386BFB_5A899FA5_AE9F2411_7C4B1FE6_49286651_ECE45B3D\
C2007CB8_A163BF05_98DA4836_1C55D39A_69163FA8_FD24CF5F\
83655D23_DCA3AD96_1C62F356_208552BB_9ED52907_7096966D\
670C354E_4ABC9804_F1746C08_CA18217C_32905E46_2E36CE3B\
E39E772C_180E8603_9B2783A2_EC07A28F_B5C55DF0_6F4C52C9\
DE2BCBF6_95581718_3995497C_EA956AE5_15D22618_98FA0510\
15728E5A_8AACAA68_FFFFFFFF_FFFFFFFF";
static BIG_R: &'static str = "\
a1468311_6e56edc9_7a98228b_5e924776_0dd7836e_caabac13\
eda5373b_4752aa65_a1454850_40dc770e_30aa8675_6be7d3a8\
9d3085e4_da5155cf_b451ef62_54d0da61_cf2b2c87_f495e096\
055309f7_77802bbb_37271ba8_1313f1b5_075c75d1_024b6c77\
fdb56f17_b05bce61_e527ebfd_2ee86860_e9907066_edd526e7\
93d289bf_6726b293_41b0de24_eff82424_8dfd374b_4ec59542\
35ced2b2_6b195c90_10042ffb_8f58ce21_bc10ec42_64fda779\
d352d234_3d4eaea6_a86111ad_a37e9555_43ca78ce_2885bed7\
5a30d182_f1cf6834_dc5b6e27_1a41ac34_a2e91e11_33363ff0\
f88a7b04_900227c9_f6e6d06b_7856b4bb_4e354d61_060db6c8\
109c4735_6e7db425_7b5d74c7_0b709508";
a1468311_6e56edc9_7a98228b_5e924776_0dd7836e_caabac13\
eda5373b_4752aa65_a1454850_40dc770e_30aa8675_6be7d3a8\
9d3085e4_da5155cf_b451ef62_54d0da61_cf2b2c87_f495e096\
055309f7_77802bbb_37271ba8_1313f1b5_075c75d1_024b6c77\
fdb56f17_b05bce61_e527ebfd_2ee86860_e9907066_edd526e7\
93d289bf_6726b293_41b0de24_eff82424_8dfd374b_4ec59542\
35ced2b2_6b195c90_10042ffb_8f58ce21_bc10ec42_64fda779\
d352d234_3d4eaea6_a86111ad_a37e9555_43ca78ce_2885bed7\
5a30d182_f1cf6834_dc5b6e27_1a41ac34_a2e91e11_33363ff0\
f88a7b04_900227c9_f6e6d06b_7856b4bb_4e354d61_060db6c8\
109c4735_6e7db425_7b5d74c7_0b709508";
mod biguint {
use num_bigint::BigUint;
@ -102,7 +102,7 @@ mod biguint {
mod bigint {
use num_bigint::BigInt;
use num_integer::Integer;
use num_traits::{Num, Zero, One, Signed};
use num_traits::{Num, One, Signed, Zero};
fn check_modpow<T: Into<BigInt>>(b: T, e: T, m: T, r: T) {
fn check(b: &BigInt, e: &BigInt, m: &BigInt, r: &BigInt) {

317
third_party/rust/num-bigint/tests/quickcheck.rs поставляемый Normal file
Просмотреть файл

@ -0,0 +1,317 @@
#![cfg(feature = "quickcheck")]
#![cfg(feature = "quickcheck_macros")]
extern crate num_bigint;
extern crate num_integer;
extern crate num_traits;
extern crate quickcheck;
#[macro_use]
extern crate quickcheck_macros;
use num_bigint::{BigInt, BigUint};
use num_traits::{Num, One, Pow, Zero};
use quickcheck::{QuickCheck, StdThreadGen, TestResult};
#[quickcheck]
fn quickcheck_unsigned_eq_reflexive(a: BigUint) -> bool {
a == a
}
#[quickcheck]
fn quickcheck_signed_eq_reflexive(a: BigInt) -> bool {
a == a
}
#[quickcheck]
fn quickcheck_unsigned_eq_symmetric(a: BigUint, b: BigUint) -> bool {
if a == b {
b == a
} else {
b != a
}
}
#[quickcheck]
fn quickcheck_signed_eq_symmetric(a: BigInt, b: BigInt) -> bool {
if a == b {
b == a
} else {
b != a
}
}
#[test]
fn quickcheck_arith_primitive() {
let gen = StdThreadGen::new(usize::max_value());
let mut qc = QuickCheck::with_gen(gen);
fn test_unsigned_add_primitive(a: usize, b: usize) -> TestResult {
let actual = BigUint::from(a) + BigUint::from(b);
match a.checked_add(b) {
None => TestResult::discard(),
Some(expected) => TestResult::from_bool(BigUint::from(expected) == actual),
}
}
fn test_signed_add_primitive(a: isize, b: isize) -> TestResult {
let actual = BigInt::from(a) + BigInt::from(b);
match a.checked_add(b) {
None => TestResult::discard(),
Some(expected) => TestResult::from_bool(BigInt::from(expected) == actual),
}
}
fn test_unsigned_mul_primitive(a: u64, b: u64) -> bool {
//maximum value of u64 means no overflow
BigUint::from(a as u128 * b as u128) == BigUint::from(a) * BigUint::from(b)
}
fn test_signed_mul_primitive(a: i64, b: i64) -> bool {
//maximum value of i64 means no overflow
BigInt::from(a as i128 * b as i128) == BigInt::from(a) * BigInt::from(b)
}
fn test_unsigned_sub_primitive(a: u128, b: u128) -> bool {
if b < a {
BigUint::from(a - b) == BigUint::from(a) - BigUint::from(b)
} else {
BigUint::from(b - a) == BigUint::from(b) - BigUint::from(a)
}
}
fn test_signed_sub_primitive(a: i128, b: i128) -> bool {
if b < a {
BigInt::from(a - b) == BigInt::from(a) - BigInt::from(b)
} else {
BigInt::from(b - a) == BigInt::from(b) - BigInt::from(a)
}
}
fn test_unsigned_div_primitive(a: u128, b: u128) -> TestResult {
if b == 0 {
TestResult::discard()
} else {
TestResult::from_bool(BigUint::from(a / b) == BigUint::from(a) / BigUint::from(b))
}
}
fn test_signed_div_primitive(a: i128, b: i128) -> TestResult {
if b == 0 {
TestResult::discard()
} else {
TestResult::from_bool(BigInt::from(a / b) == BigInt::from(a) / BigInt::from(b))
}
}
qc.quickcheck(test_unsigned_add_primitive as fn(usize, usize) -> TestResult);
qc.quickcheck(test_signed_add_primitive as fn(isize, isize) -> TestResult);
qc.quickcheck(test_unsigned_mul_primitive as fn(u64, u64) -> bool);
qc.quickcheck(test_signed_mul_primitive as fn(i64, i64) -> bool);
qc.quickcheck(test_unsigned_sub_primitive as fn(u128, u128) -> bool);
qc.quickcheck(test_signed_sub_primitive as fn(i128, i128) -> bool);
qc.quickcheck(test_unsigned_div_primitive as fn(u128, u128) -> TestResult);
qc.quickcheck(test_signed_div_primitive as fn(i128, i128) -> TestResult);
}
#[quickcheck]
fn quickcheck_unsigned_add_commutative(a: BigUint, b: BigUint) -> bool {
&a + &b == b + a
}
#[quickcheck]
fn quickcheck_signed_add_commutative(a: BigInt, b: BigInt) -> bool {
&a + &b == b + a
}
#[quickcheck]
fn quickcheck_unsigned_add_zero(a: BigUint) -> bool {
a == &a + BigUint::zero()
}
#[quickcheck]
fn quickcheck_signed_add_zero(a: BigInt) -> bool {
a == &a + BigInt::zero()
}
#[quickcheck]
fn quickcheck_unsigned_add_associative(a: BigUint, b: BigUint, c: BigUint) -> bool {
(&a + &b) + &c == a + (b + c)
}
#[quickcheck]
fn quickcheck_signed_add_associative(a: BigInt, b: BigInt, c: BigInt) -> bool {
(&a + &b) + &c == a + (b + c)
}
#[quickcheck]
fn quickcheck_unsigned_mul_zero(a: BigUint) -> bool {
a * BigUint::zero() == BigUint::zero()
}
#[quickcheck]
fn quickcheck_signed_mul_zero(a: BigInt) -> bool {
a * BigInt::zero() == BigInt::zero()
}
#[quickcheck]
fn quickcheck_unsigned_mul_one(a: BigUint) -> bool {
&a * BigUint::one() == a
}
#[quickcheck]
fn quickcheck_signed_mul_one(a: BigInt) -> bool {
&a * BigInt::one() == a
}
#[quickcheck]
fn quickcheck_unsigned_mul_commutative(a: BigUint, b: BigUint) -> bool {
&a * &b == b * a
}
#[quickcheck]
fn quickcheck_signed_mul_commutative(a: BigInt, b: BigInt) -> bool {
&a * &b == b * a
}
#[quickcheck]
fn quickcheck_unsigned_mul_associative(a: BigUint, b: BigUint, c: BigUint) -> bool {
(&a * &b) * &c == a * (b * c)
}
#[quickcheck]
fn quickcheck_signed_mul_associative(a: BigInt, b: BigInt, c: BigInt) -> bool {
(&a * &b) * &c == a * (b * c)
}
#[quickcheck]
fn quickcheck_unsigned_distributive(a: BigUint, b: BigUint, c: BigUint) -> bool {
&a * (&b + &c) == &a * b + a * c
}
#[quickcheck]
fn quickcheck_signed_distributive(a: BigInt, b: BigInt, c: BigInt) -> bool {
&a * (&b + &c) == &a * b + a * c
}
#[quickcheck]
///Tests that exactly one of a<b a>b a=b is true
fn quickcheck_unsigned_ge_le_eq_mut_exclusive(a: BigUint, b: BigUint) -> bool {
let gt_lt_eq = vec![a > b, a < b, a == b];
gt_lt_eq
.iter()
.fold(0, |acc, e| if *e { acc + 1 } else { acc })
== 1
}
#[quickcheck]
///Tests that exactly one of a<b a>b a=b is true
fn quickcheck_signed_ge_le_eq_mut_exclusive(a: BigInt, b: BigInt) -> bool {
let gt_lt_eq = vec![a > b, a < b, a == b];
gt_lt_eq
.iter()
.fold(0, |acc, e| if *e { acc + 1 } else { acc })
== 1
}
#[quickcheck]
/// Tests correctness of subtraction assuming addition is correct
fn quickcheck_unsigned_sub(a: BigUint, b: BigUint) -> bool {
if b < a {
&a - &b + b == a
} else {
&b - &a + a == b
}
}
#[quickcheck]
/// Tests correctness of subtraction assuming addition is correct
fn quickcheck_signed_sub(a: BigInt, b: BigInt) -> bool {
if b < a {
&a - &b + b == a
} else {
&b - &a + a == b
}
}
#[quickcheck]
fn quickcheck_unsigned_pow_zero(a: BigUint) -> bool {
a.pow(0_u32) == BigUint::one()
}
#[quickcheck]
fn quickcheck_unsigned_pow_one(a: BigUint) -> bool {
a.pow(1_u32) == a
}
#[quickcheck]
fn quickcheck_unsigned_sqrt(a: BigUint) -> bool {
(&a * &a).sqrt() == a
}
#[quickcheck]
fn quickcheck_unsigned_cbrt(a: BigUint) -> bool {
(&a * &a * &a).cbrt() == a
}
#[quickcheck]
fn quickcheck_signed_cbrt(a: BigInt) -> bool {
(&a * &a * &a).cbrt() == a
}
#[quickcheck]
fn quickcheck_unsigned_conversion(a: BigUint, radix: u8) -> TestResult {
let radix = radix as u32;
if radix > 36 || radix < 2 {
return TestResult::discard();
}
let string = a.to_str_radix(radix);
TestResult::from_bool(a == BigUint::from_str_radix(&string, radix).unwrap())
}
#[quickcheck]
fn quickcheck_signed_conversion(a: BigInt, radix: u8) -> TestResult {
let radix = radix as u32;
if radix > 36 || radix < 2 {
return TestResult::discard();
}
let string = a.to_str_radix(radix);
TestResult::from_bool(a == BigInt::from_str_radix(&string, radix).unwrap())
}
#[test]
fn quicktest_shift() {
let gen = StdThreadGen::new(usize::max_value());
let mut qc = QuickCheck::with_gen(gen);
fn test_shr_unsigned(a: u64, shift: u8) -> TestResult {
let shift = (shift % 64) as usize; //shift at most 64 bits
let big_a = BigUint::from(a);
TestResult::from_bool(BigUint::from(a >> shift) == big_a >> shift)
}
fn test_shr_signed(a: i64, shift: u8) -> TestResult {
let shift = (shift % 64) as usize; //shift at most 64 bits
let big_a = BigInt::from(a);
TestResult::from_bool(BigInt::from(a >> shift) == big_a >> shift)
}
fn test_shl_unsigned(a: u32, shift: u8) -> TestResult {
let shift = (shift % 32) as usize; //shift at most 32 bits
let a = a as u64; //leave room for the shifted bits
let big_a = BigUint::from(a);
TestResult::from_bool(BigUint::from(a >> shift) == big_a >> shift)
}
fn test_shl_signed(a: i32, shift: u8) -> TestResult {
let shift = (shift % 32) as usize;
let a = a as u64; //leave room for the shifted bits
let big_a = BigInt::from(a);
TestResult::from_bool(BigInt::from(a >> shift) == big_a >> shift)
}
qc.quickcheck(test_shr_unsigned as fn(u64, u8) -> TestResult);
qc.quickcheck(test_shr_signed as fn(i64, u8) -> TestResult);
qc.quickcheck(test_shl_unsigned as fn(u32, u8) -> TestResult);
qc.quickcheck(test_shl_signed as fn(i32, u8) -> TestResult);
}

324
third_party/rust/num-bigint/tests/rand.rs поставляемый Normal file
Просмотреть файл

@ -0,0 +1,324 @@
#![cfg(feature = "rand")]
extern crate num_bigint;
extern crate num_traits;
extern crate rand;
mod biguint {
use num_bigint::{BigUint, RandBigInt, RandomBits};
use num_traits::Zero;
use rand::distributions::Uniform;
use rand::thread_rng;
use rand::{Rng, SeedableRng};
#[test]
fn test_rand() {
let mut rng = thread_rng();
let n: BigUint = rng.gen_biguint(137);
assert!(n.bits() <= 137);
assert!(rng.gen_biguint(0).is_zero());
}
#[test]
fn test_rand_bits() {
let mut rng = thread_rng();
let n: BigUint = rng.sample(&RandomBits::new(137));
assert!(n.bits() <= 137);
let z: BigUint = rng.sample(&RandomBits::new(0));
assert!(z.is_zero());
}
#[test]
fn test_rand_range() {
let mut rng = thread_rng();
for _ in 0..10 {
assert_eq!(
rng.gen_biguint_range(&BigUint::from(236u32), &BigUint::from(237u32)),
BigUint::from(236u32)
);
}
let l = BigUint::from(403469000u32 + 2352);
let u = BigUint::from(403469000u32 + 3513);
for _ in 0..1000 {
let n: BigUint = rng.gen_biguint_below(&u);
assert!(n < u);
let n: BigUint = rng.gen_biguint_range(&l, &u);
assert!(n >= l);
assert!(n < u);
}
}
#[test]
#[should_panic]
fn test_zero_rand_range() {
thread_rng().gen_biguint_range(&BigUint::from(54u32), &BigUint::from(54u32));
}
#[test]
#[should_panic]
fn test_negative_rand_range() {
let mut rng = thread_rng();
let l = BigUint::from(2352u32);
let u = BigUint::from(3513u32);
// Switching u and l should fail:
let _n: BigUint = rng.gen_biguint_range(&u, &l);
}
#[test]
fn test_rand_uniform() {
let mut rng = thread_rng();
let tiny = Uniform::new(BigUint::from(236u32), BigUint::from(237u32));
for _ in 0..10 {
assert_eq!(rng.sample(&tiny), BigUint::from(236u32));
}
let l = BigUint::from(403469000u32 + 2352);
let u = BigUint::from(403469000u32 + 3513);
let below = Uniform::new(BigUint::zero(), u.clone());
let range = Uniform::new(l.clone(), u.clone());
for _ in 0..1000 {
let n: BigUint = rng.sample(&below);
assert!(n < u);
let n: BigUint = rng.sample(&range);
assert!(n >= l);
assert!(n < u);
}
}
fn seeded_value_stability<R: SeedableRng + RandBigInt>(expected: &[&str]) {
let mut seed = <R::Seed>::default();
for (i, x) in seed.as_mut().iter_mut().enumerate() {
*x = (i as u8).wrapping_mul(191);
}
let mut rng = R::from_seed(seed);
for (i, &s) in expected.iter().enumerate() {
let n: BigUint = s.parse().unwrap();
let r = rng.gen_biguint((1 << i) + i);
assert_eq!(n, r);
}
}
#[test]
fn test_chacha_value_stability() {
const EXPECTED: &[&str] = &[
"0",
"0",
"52",
"84",
"23780",
"86502865016",
"187057847319509867386",
"34045731223080904464438757488196244981910",
"23813754422987836414755953516143692594193066497413249270287126597896871975915808",
"57401636903146945411652549098818446911814352529449356393690984105383482703074355\
67088360974672291353736011718191813678720755501317478656550386324355699624671",
];
use rand::prng::ChaChaRng;
seeded_value_stability::<ChaChaRng>(EXPECTED);
}
#[test]
fn test_isaac_value_stability() {
const EXPECTED: &[&str] = &[
"1",
"4",
"3",
"649",
"89116",
"7730042024",
"20773149082453254949",
"35999009049239918667571895439206839620281",
"10191757312714088681302309313551624007714035309632506837271600807524767413673006",
"37805949268912387809989378008822038725134260145886913321084097194957861133272558\
43458183365174899239251448892645546322463253898288141861183340823194379722556",
];
use rand::prng::IsaacRng;
seeded_value_stability::<IsaacRng>(EXPECTED);
}
#[test]
fn test_xorshift_value_stability() {
const EXPECTED: &[&str] = &[
"1",
"0",
"37",
"395",
"181116",
"122718231117",
"1068467172329355695001",
"28246925743544411614293300167064395633287",
"12750053187017853048648861493745244146555950255549630854523304068318587267293038",
"53041498719137109355568081064978196049094604705283682101683207799515709404788873\
53417136457745727045473194367732849819278740266658219147356315674940229288531",
];
use rand::prng::XorShiftRng;
seeded_value_stability::<XorShiftRng>(EXPECTED);
}
}
mod bigint {
use num_bigint::{BigInt, RandBigInt, RandomBits};
use num_traits::Zero;
use rand::distributions::Uniform;
use rand::thread_rng;
use rand::{Rng, SeedableRng};
#[test]
fn test_rand() {
let mut rng = thread_rng();
let n: BigInt = rng.gen_bigint(137);
assert!(n.bits() <= 137);
assert!(rng.gen_bigint(0).is_zero());
}
#[test]
fn test_rand_bits() {
let mut rng = thread_rng();
let n: BigInt = rng.sample(&RandomBits::new(137));
assert!(n.bits() <= 137);
let z: BigInt = rng.sample(&RandomBits::new(0));
assert!(z.is_zero());
}
#[test]
fn test_rand_range() {
let mut rng = thread_rng();
for _ in 0..10 {
assert_eq!(
rng.gen_bigint_range(&BigInt::from(236), &BigInt::from(237)),
BigInt::from(236)
);
}
fn check(l: BigInt, u: BigInt) {
let mut rng = thread_rng();
for _ in 0..1000 {
let n: BigInt = rng.gen_bigint_range(&l, &u);
assert!(n >= l);
assert!(n < u);
}
}
let l: BigInt = BigInt::from(403469000 + 2352);
let u: BigInt = BigInt::from(403469000 + 3513);
check(l.clone(), u.clone());
check(-l.clone(), u.clone());
check(-u.clone(), -l.clone());
}
#[test]
#[should_panic]
fn test_zero_rand_range() {
thread_rng().gen_bigint_range(&BigInt::from(54), &BigInt::from(54));
}
#[test]
#[should_panic]
fn test_negative_rand_range() {
let mut rng = thread_rng();
let l = BigInt::from(2352);
let u = BigInt::from(3513);
// Switching u and l should fail:
let _n: BigInt = rng.gen_bigint_range(&u, &l);
}
#[test]
fn test_rand_uniform() {
let mut rng = thread_rng();
let tiny = Uniform::new(BigInt::from(236u32), BigInt::from(237u32));
for _ in 0..10 {
assert_eq!(rng.sample(&tiny), BigInt::from(236u32));
}
fn check(l: BigInt, u: BigInt) {
let mut rng = thread_rng();
let range = Uniform::new(l.clone(), u.clone());
for _ in 0..1000 {
let n: BigInt = rng.sample(&range);
assert!(n >= l);
assert!(n < u);
}
}
let l: BigInt = BigInt::from(403469000 + 2352);
let u: BigInt = BigInt::from(403469000 + 3513);
check(l.clone(), u.clone());
check(-l.clone(), u.clone());
check(-u.clone(), -l.clone());
}
fn seeded_value_stability<R: SeedableRng + RandBigInt>(expected: &[&str]) {
let mut seed = <R::Seed>::default();
for (i, x) in seed.as_mut().iter_mut().enumerate() {
*x = (i as u8).wrapping_mul(191);
}
let mut rng = R::from_seed(seed);
for (i, &s) in expected.iter().enumerate() {
let n: BigInt = s.parse().unwrap();
let r = rng.gen_bigint((1 << i) + i);
assert_eq!(n, r);
}
}
#[test]
fn test_chacha_value_stability() {
const EXPECTED: &[&str] = &[
"0",
"-6",
"-1",
"1321",
"-147247",
"8486373526",
"-272736656290199720696",
"2731152629387534140535423510744221288522",
"-28820024790651190394679732038637785320661450462089347915910979466834461433196572",
"501454570554170484799723603981439288209930393334472085317977614690773821680884844\
8530978478667288338327570972869032358120588620346111979053742269317702532328",
];
use rand::prng::ChaChaRng;
seeded_value_stability::<ChaChaRng>(EXPECTED);
}
#[test]
fn test_isaac_value_stability() {
const EXPECTED: &[&str] = &[
"1",
"0",
"5",
"113",
"-132240",
"-36348760761",
"-365690596708430705434",
"-14090753008246284277803606722552430292432",
"-26313941628626248579319341019368550803676255307056857978955881718727601479436059",
"-14563174552421101848999036239003801073335703811160945137332228646111920972691151\
88341090358094331641182310792892459091016794928947242043358702692294695845817",
];
use rand::prng::IsaacRng;
seeded_value_stability::<IsaacRng>(EXPECTED);
}
#[test]
fn test_xorshift_value_stability() {
const EXPECTED: &[&str] = &[
"-1",
"-4",
"11",
"-1802",
"966495",
"-62592045703",
"-602281783447192077116",
"-34335811410223060575607987996861632509125",
"29156580925282215857325937227200350542000244609280383263289720243118706105351199",
"49920038676141573457451407325930326489996232208489690499754573826911037849083623\
24546142615325187412887314466195222441945661833644117700809693098722026764846",
];
use rand::prng::XorShiftRng;
seeded_value_stability::<XorShiftRng>(EXPECTED);
}
}

186
third_party/rust/num-bigint/tests/roots.rs поставляемый Normal file
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extern crate num_bigint;
extern crate num_integer;
extern crate num_traits;
#[cfg(feature = "rand")]
extern crate rand;
mod biguint {
use num_bigint::BigUint;
use num_traits::{One, Pow, Zero};
use std::{i32, u32};
fn check<T: Into<BigUint>>(x: T, n: u32) {
let x: BigUint = x.into();
let root = x.nth_root(n);
println!("check {}.nth_root({}) = {}", x, n, root);
if n == 2 {
assert_eq!(root, x.sqrt())
} else if n == 3 {
assert_eq!(root, x.cbrt())
}
let lo = root.pow(n);
assert!(lo <= x);
assert_eq!(lo.nth_root(n), root);
if !lo.is_zero() {
assert_eq!((&lo - 1u32).nth_root(n), &root - 1u32);
}
let hi = (&root + 1u32).pow(n);
assert!(hi > x);
assert_eq!(hi.nth_root(n), &root + 1u32);
assert_eq!((&hi - 1u32).nth_root(n), root);
}
#[test]
fn test_sqrt() {
check(99u32, 2);
check(100u32, 2);
check(120u32, 2);
}
#[test]
fn test_cbrt() {
check(8u32, 3);
check(26u32, 3);
}
#[test]
fn test_nth_root() {
check(0u32, 1);
check(10u32, 1);
check(100u32, 4);
}
#[test]
#[should_panic]
fn test_nth_root_n_is_zero() {
check(4u32, 0);
}
#[test]
fn test_nth_root_big() {
let x = BigUint::from(123_456_789_u32);
let expected = BigUint::from(6u32);
assert_eq!(x.nth_root(10), expected);
check(x, 10);
}
#[test]
fn test_nth_root_googol() {
let googol = BigUint::from(10u32).pow(100u32);
// perfect divisors of 100
for &n in &[2, 4, 5, 10, 20, 25, 50, 100] {
let expected = BigUint::from(10u32).pow(100u32 / n);
assert_eq!(googol.nth_root(n), expected);
check(googol.clone(), n);
}
}
#[test]
fn test_nth_root_twos() {
const EXP: u32 = 12;
const LOG2: usize = 1 << EXP;
let x = BigUint::one() << LOG2;
// the perfect divisors are just powers of two
for exp in 1..EXP + 1 {
let n = 2u32.pow(exp);
let expected = BigUint::one() << (LOG2 / n as usize);
assert_eq!(x.nth_root(n), expected);
check(x.clone(), n);
}
// degenerate cases should return quickly
assert!(x.nth_root(x.bits() as u32).is_one());
assert!(x.nth_root(i32::MAX as u32).is_one());
assert!(x.nth_root(u32::MAX).is_one());
}
#[cfg(feature = "rand")]
#[test]
fn test_roots_rand() {
use num_bigint::RandBigInt;
use rand::distributions::Uniform;
use rand::{thread_rng, Rng};
let mut rng = thread_rng();
let bit_range = Uniform::new(0, 2048);
let sample_bits: Vec<_> = rng.sample_iter(&bit_range).take(100).collect();
for bits in sample_bits {
let x = rng.gen_biguint(bits);
for n in 2..11 {
check(x.clone(), n);
}
check(x.clone(), 100);
}
}
#[test]
fn test_roots_rand1() {
// A random input that found regressions
let s = "575981506858479247661989091587544744717244516135539456183849\
986593934723426343633698413178771587697273822147578889823552\
182702908597782734558103025298880194023243541613924361007059\
353344183590348785832467726433749431093350684849462759540710\
026019022227591412417064179299354183441181373862905039254106\
4781867";
let x: BigUint = s.parse().unwrap();
check(x.clone(), 2);
check(x.clone(), 3);
check(x.clone(), 10);
check(x.clone(), 100);
}
}
mod bigint {
use num_bigint::BigInt;
use num_traits::{Pow, Signed};
fn check(x: i64, n: u32) {
let big_x = BigInt::from(x);
let res = big_x.nth_root(n);
if n == 2 {
assert_eq!(&res, &big_x.sqrt())
} else if n == 3 {
assert_eq!(&res, &big_x.cbrt())
}
if big_x.is_negative() {
assert!(res.pow(n) >= big_x);
assert!((res - 1u32).pow(n) < big_x);
} else {
assert!(res.pow(n) <= big_x);
assert!((res + 1u32).pow(n) > big_x);
}
}
#[test]
fn test_nth_root() {
check(-100, 3);
}
#[test]
#[should_panic]
fn test_nth_root_x_neg_n_even() {
check(-100, 4);
}
#[test]
#[should_panic]
fn test_sqrt_x_neg() {
check(-4, 2);
}
#[test]
fn test_cbrt() {
check(8, 3);
check(-8, 3);
}
}

103
third_party/rust/num-bigint/tests/serde.rs поставляемый Normal file
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//! Test serialization and deserialization of `BigUint` and `BigInt`
//!
//! The serialized formats should not change, even if we change our
//! internal representation, because we want to preserve forward and
//! backward compatibility of serialized data!
#![cfg(feature = "serde")]
extern crate num_bigint;
extern crate num_traits;
extern crate serde_test;
use num_bigint::{BigInt, BigUint};
use num_traits::{One, Zero};
use serde_test::{assert_tokens, Token};
#[test]
fn biguint_zero() {
let tokens = [Token::Seq { len: Some(0) }, Token::SeqEnd];
assert_tokens(&BigUint::zero(), &tokens);
}
#[test]
fn bigint_zero() {
let tokens = [
Token::Tuple { len: 2 },
Token::I8(0),
Token::Seq { len: Some(0) },
Token::SeqEnd,
Token::TupleEnd,
];
assert_tokens(&BigInt::zero(), &tokens);
}
#[test]
fn biguint_one() {
let tokens = [Token::Seq { len: Some(1) }, Token::U32(1), Token::SeqEnd];
assert_tokens(&BigUint::one(), &tokens);
}
#[test]
fn bigint_one() {
let tokens = [
Token::Tuple { len: 2 },
Token::I8(1),
Token::Seq { len: Some(1) },
Token::U32(1),
Token::SeqEnd,
Token::TupleEnd,
];
assert_tokens(&BigInt::one(), &tokens);
}
#[test]
fn bigint_negone() {
let tokens = [
Token::Tuple { len: 2 },
Token::I8(-1),
Token::Seq { len: Some(1) },
Token::U32(1),
Token::SeqEnd,
Token::TupleEnd,
];
assert_tokens(&-BigInt::one(), &tokens);
}
// Generated independently from python `hex(factorial(100))`
const FACTORIAL_100: &'static [u32] = &[
0x00000000, 0x00000000, 0x00000000, 0x2735c61a, 0xee8b02ea, 0xb3b72ed2, 0x9420c6ec, 0x45570cca,
0xdf103917, 0x943a321c, 0xeb21b5b2, 0x66ef9a70, 0xa40d16e9, 0x28d54bbd, 0xdc240695, 0x964ec395,
0x1b30,
];
#[test]
fn biguint_factorial_100() {
let n: BigUint = (1u8..101).product();
let mut tokens = vec![];
tokens.push(Token::Seq {
len: Some(FACTORIAL_100.len()),
});
tokens.extend(FACTORIAL_100.iter().map(|&u| Token::U32(u)));
tokens.push(Token::SeqEnd);
assert_tokens(&n, &tokens);
}
#[test]
fn bigint_factorial_100() {
let n: BigInt = (1i8..101).product();
let mut tokens = vec![];
tokens.push(Token::Tuple { len: 2 });
tokens.push(Token::I8(1));
tokens.push(Token::Seq {
len: Some(FACTORIAL_100.len()),
});
tokens.extend(FACTORIAL_100.iter().map(|&u| Token::U32(u)));
tokens.push(Token::SeqEnd);
tokens.push(Token::TupleEnd);
assert_tokens(&n, &tokens);
}

43
third_party/rust/num-bigint/tests/torture.rs поставляемый Normal file
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@ -0,0 +1,43 @@
#![cfg(feature = "rand")]
extern crate num_bigint;
extern crate num_traits;
extern crate rand;
use num_bigint::RandBigInt;
use num_traits::Zero;
use rand::prelude::*;
fn test_mul_divide_torture_count(count: usize) {
let bits_max = 1 << 12;
let seed = [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16];
let mut rng = SmallRng::from_seed(seed);
for _ in 0..count {
// Test with numbers of random sizes:
let xbits = rng.gen_range(0, bits_max);
let ybits = rng.gen_range(0, bits_max);
let x = rng.gen_biguint(xbits);
let y = rng.gen_biguint(ybits);
if x.is_zero() || y.is_zero() {
continue;
}
let prod = &x * &y;
assert_eq!(&prod / &x, y);
assert_eq!(&prod / &y, x);
}
}
#[test]
fn test_mul_divide_torture() {
test_mul_divide_torture_count(1000);
}
#[test]
#[ignore]
fn test_mul_divide_torture_long() {
test_mul_divide_torture_count(1000000);
}

Просмотреть файл

@ -1 +1 @@
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12
third_party/rust/num-traits/Cargo.toml поставляемый
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@ -3,7 +3,7 @@
# When uploading crates to the registry Cargo will automatically
# "normalize" Cargo.toml files for maximal compatibility
# with all versions of Cargo and also rewrite `path` dependencies
# to registry (e.g. crates.io) dependencies
# to registry (e.g., crates.io) dependencies
#
# If you believe there's an error in this file please file an
# issue against the rust-lang/cargo repository. If you're
@ -12,9 +12,10 @@
[package]
name = "num-traits"
version = "0.2.6"
version = "0.2.10"
authors = ["The Rust Project Developers"]
build = "build.rs"
exclude = ["/ci/*", "/.travis.yml", "/bors.toml"]
description = "Numeric traits for generic mathematics"
homepage = "https://github.com/rust-num/num-traits"
documentation = "https://docs.rs/num-traits"
@ -25,8 +26,11 @@ license = "MIT/Apache-2.0"
repository = "https://github.com/rust-num/num-traits"
[package.metadata.docs.rs]
features = ["std"]
[dependencies]
[dependencies.libm]
version = "0.2.0"
optional = true
[build-dependencies.autocfg]
version = "0.1.3"
[features]
default = ["std"]

9
third_party/rust/num-traits/README.md поставляемый
Просмотреть файл

@ -31,11 +31,14 @@ the default `std` feature. Use this in `Cargo.toml`:
[dependencies.num-traits]
version = "0.2"
default-features = false
# features = ["libm"] # <--- Uncomment if you wish to use `Float` and `Real` without `std`
```
The `Float` and `Real` traits are only available when `std` is enabled. The
`FloatCore` trait is always available. `MulAdd` and `MulAddAssign` for `f32`
and `f64` also require `std`, as do implementations of signed and floating-
The `Float` and `Real` traits are only available when either `std` or `libm` is enabled.
The `libm` feature is only available with Rust 1.31 and later ([see PR #99](https://github.com/rust-num/num-traits/pull/99)).
The `FloatCore` trait is always available. `MulAdd` and `MulAddAssign` for `f32`
and `f64` also require `std` or `libm`, as do implementations of signed and floating-
point exponents in `Pow`.
Implementations for `i128` and `u128` are only available with Rust 1.26 and

45
third_party/rust/num-traits/RELEASES.md поставляемый
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@ -1,3 +1,48 @@
# Release 0.2.10 (2019-11-22)
- [Updated the `libm` dependency to 0.2][144].
**Contributors**: @CryZe
[144]: https://github.com/rust-num/num-traits/pull/144
# Release 0.2.9 (2019-11-12)
- [A new optional `libm` dependency][99] enables the `Float` and `Real` traits
in `no_std` builds.
- [The new `clamp_min` and `clamp_max`][122] limit minimum and maximum values
while preserving input `NAN`s.
- [Fixed a panic in floating point `from_str_radix` on invalid signs][126].
- Miscellaneous documentation updates.
**Contributors**: @cuviper, @dingelish, @HeroicKatora, @jturner314, @ocstl,
@Shnatsel, @termoshtt, @waywardmonkeys, @yoanlcq
[99]: https://github.com/rust-num/num-traits/pull/99
[122]: https://github.com/rust-num/num-traits/pull/122
[126]: https://github.com/rust-num/num-traits/pull/126
# Release 0.2.8 (2019-05-21)
- [Fixed feature detection on `no_std` targets][116].
**Contributors**: @cuviper
[116]: https://github.com/rust-num/num-traits/pull/116
# Release 0.2.7 (2019-05-20)
- [Documented when `CheckedShl` and `CheckedShr` return `None`][90].
- [The new `Zero::set_zero` and `One::set_one`][104] will set values to their
identities in place, possibly optimized better than direct assignment.
- [Documented general features and intentions of `PrimInt`][108].
**Contributors**: @cuviper, @dvdhrm, @ignatenkobrain, @lcnr, @samueltardieu
[90]: https://github.com/rust-num/num-traits/pull/90
[104]: https://github.com/rust-num/num-traits/pull/104
[108]: https://github.com/rust-num/num-traits/pull/108
# Release 0.2.6 (2018-09-13)
- [Documented that `pow(0, 0)` returns `1`][79]. Mathematically, this is not

3
third_party/rust/num-traits/bors.toml поставляемый
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@ -1,3 +0,0 @@
status = [
"continuous-integration/travis-ci/push",
]

33
third_party/rust/num-traits/build.rs поставляемый
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@ -1,35 +1,14 @@
extern crate autocfg;
use std::env;
use std::io::Write;
use std::process::{Command, Stdio};
fn main() {
if probe("fn main() { 0i128; }") {
let ac = autocfg::new();
if ac.probe_type("i128") {
println!("cargo:rustc-cfg=has_i128");
} else if env::var_os("CARGO_FEATURE_I128").is_some() {
panic!("i128 support was not detected!");
}
}
/// Test if a code snippet can be compiled
fn probe(code: &str) -> bool {
let rustc = env::var_os("RUSTC").unwrap_or_else(|| "rustc".into());
let out_dir = env::var_os("OUT_DIR").expect("environment variable OUT_DIR");
let mut child = Command::new(rustc)
.arg("--out-dir")
.arg(out_dir)
.arg("--emit=obj")
.arg("-")
.stdin(Stdio::piped())
.spawn()
.expect("rustc probe");
child
.stdin
.as_mut()
.expect("rustc stdin")
.write_all(code.as_bytes())
.expect("write rustc stdin");
child.wait().expect("rustc probe").success()
autocfg::rerun_path("build.rs");
}

11
third_party/rust/num-traits/ci/rustup.sh поставляемый
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@ -1,11 +0,0 @@
#!/bin/sh
# Use rustup to locally run the same suite of tests as .travis.yml.
# (You should first install/update 1.8.0, stable, beta, and nightly.)
set -ex
export TRAVIS_RUST_VERSION
for TRAVIS_RUST_VERSION in 1.8.0 1.15.0 1.20.0 stable beta nightly; do
run="rustup run $TRAVIS_RUST_VERSION"
$run $PWD/ci/test_full.sh
done

19
third_party/rust/num-traits/ci/test_full.sh поставляемый
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@ -1,19 +0,0 @@
#!/bin/bash
set -ex
echo Testing num-traits on rustc ${TRAVIS_RUST_VERSION}
# num-traits should build and test everywhere.
cargo build --verbose
cargo test --verbose
# test `no_std`
cargo build --verbose --no-default-features
cargo test --verbose --no-default-features
# test `i128`
if [[ "$TRAVIS_RUST_VERSION" =~ ^(nightly|beta|stable)$ ]]; then
cargo build --verbose --features=i128
cargo test --verbose --features=i128
fi

8
third_party/rust/num-traits/src/bounds.rs поставляемый
Просмотреть файл

@ -95,8 +95,8 @@ fn wrapping_bounded() {
macro_rules! test_wrapping_bounded {
($($t:ty)+) => {
$(
assert_eq!(Wrapping::<$t>::min_value().0, <$t>::min_value());
assert_eq!(Wrapping::<$t>::max_value().0, <$t>::max_value());
assert_eq!(<Wrapping<$t> as Bounded>::min_value().0, <$t>::min_value());
assert_eq!(<Wrapping<$t> as Bounded>::max_value().0, <$t>::max_value());
)+
};
}
@ -110,8 +110,8 @@ fn wrapping_bounded_i128() {
macro_rules! test_wrapping_bounded {
($($t:ty)+) => {
$(
assert_eq!(Wrapping::<$t>::min_value().0, <$t>::min_value());
assert_eq!(Wrapping::<$t>::max_value().0, <$t>::max_value());
assert_eq!(<Wrapping<$t> as Bounded>::min_value().0, <$t>::min_value());
assert_eq!(<Wrapping<$t> as Bounded>::max_value().0, <$t>::max_value());
)+
};
}

112
third_party/rust/num-traits/src/cast.rs поставляемый
Просмотреть файл

@ -10,38 +10,45 @@ use float::FloatCore;
/// A generic trait for converting a value to a number.
pub trait ToPrimitive {
/// Converts the value of `self` to an `isize`.
/// Converts the value of `self` to an `isize`. If the value cannot be
/// represented by an `isize`, then `None` is returned.
#[inline]
fn to_isize(&self) -> Option<isize> {
self.to_i64().as_ref().and_then(ToPrimitive::to_isize)
}
/// Converts the value of `self` to an `i8`.
/// Converts the value of `self` to an `i8`. If the value cannot be
/// represented by an `i8`, then `None` is returned.
#[inline]
fn to_i8(&self) -> Option<i8> {
self.to_i64().as_ref().and_then(ToPrimitive::to_i8)
}
/// Converts the value of `self` to an `i16`.
/// Converts the value of `self` to an `i16`. If the value cannot be
/// represented by an `i16`, then `None` is returned.
#[inline]
fn to_i16(&self) -> Option<i16> {
self.to_i64().as_ref().and_then(ToPrimitive::to_i16)
}
/// Converts the value of `self` to an `i32`.
/// Converts the value of `self` to an `i32`. If the value cannot be
/// represented by an `i32`, then `None` is returned.
#[inline]
fn to_i32(&self) -> Option<i32> {
self.to_i64().as_ref().and_then(ToPrimitive::to_i32)
}
/// Converts the value of `self` to an `i64`.
/// Converts the value of `self` to an `i64`. If the value cannot be
/// represented by an `i64`, then `None` is returned.
fn to_i64(&self) -> Option<i64>;
/// Converts the value of `self` to an `i128`.
/// Converts the value of `self` to an `i128`. If the value cannot be
/// represented by an `i128` (`i64` under the default implementation), then
/// `None` is returned.
///
/// This method is only available with feature `i128` enabled on Rust >= 1.26.
///
/// The default implementation converts through `to_i64()`. Types implementing
/// The default implementation converts through `to_i64()`. Types implementing
/// this trait should override this method if they can represent a greater range.
#[inline]
#[cfg(has_i128)]
@ -49,35 +56,41 @@ pub trait ToPrimitive {
self.to_i64().map(From::from)
}
/// Converts the value of `self` to a `usize`.
/// Converts the value of `self` to a `usize`. If the value cannot be
/// represented by a `usize`, then `None` is returned.
#[inline]
fn to_usize(&self) -> Option<usize> {
self.to_u64().as_ref().and_then(ToPrimitive::to_usize)
}
/// Converts the value of `self` to an `u8`.
/// Converts the value of `self` to a `u8`. If the value cannot be
/// represented by a `u8`, then `None` is returned.
#[inline]
fn to_u8(&self) -> Option<u8> {
self.to_u64().as_ref().and_then(ToPrimitive::to_u8)
}
/// Converts the value of `self` to an `u16`.
/// Converts the value of `self` to a `u16`. If the value cannot be
/// represented by a `u16`, then `None` is returned.
#[inline]
fn to_u16(&self) -> Option<u16> {
self.to_u64().as_ref().and_then(ToPrimitive::to_u16)
}
/// Converts the value of `self` to an `u32`.
/// Converts the value of `self` to a `u32`. If the value cannot be
/// represented by a `u32`, then `None` is returned.
#[inline]
fn to_u32(&self) -> Option<u32> {
self.to_u64().as_ref().and_then(ToPrimitive::to_u32)
}
/// Converts the value of `self` to an `u64`.
#[inline]
/// Converts the value of `self` to a `u64`. If the value cannot be
/// represented by a `u64`, then `None` is returned.
fn to_u64(&self) -> Option<u64>;
/// Converts the value of `self` to an `u128`.
/// Converts the value of `self` to a `u128`. If the value cannot be
/// represented by a `u128` (`u64` under the default implementation), then
/// `None` is returned.
///
/// This method is only available with feature `i128` enabled on Rust >= 1.26.
///
@ -89,13 +102,15 @@ pub trait ToPrimitive {
self.to_u64().map(From::from)
}
/// Converts the value of `self` to an `f32`.
/// Converts the value of `self` to an `f32`. If the value cannot be
/// represented by an `f32`, then `None` is returned.
#[inline]
fn to_f32(&self) -> Option<f32> {
self.to_f64().as_ref().and_then(ToPrimitive::to_f32)
}
/// Converts the value of `self` to an `f64`.
/// Converts the value of `self` to an `f64`. If the value cannot be
/// represented by an `f64`, then `None` is returned.
#[inline]
fn to_f64(&self) -> Option<f64> {
match self.to_i64() {
@ -362,44 +377,44 @@ impl_to_primitive_float!(f64);
/// A generic trait for converting a number to a value.
pub trait FromPrimitive: Sized {
/// Convert an `isize` to return an optional value of this type. If the
/// value cannot be represented by this value, then `None` is returned.
/// Converts an `isize` to return an optional value of this type. If the
/// value cannot be represented by this type, then `None` is returned.
#[inline]
fn from_isize(n: isize) -> Option<Self> {
n.to_i64().and_then(FromPrimitive::from_i64)
}
/// Convert an `i8` to return an optional value of this type. If the
/// type cannot be represented by this value, then `None` is returned.
/// Converts an `i8` to return an optional value of this type. If the
/// value cannot be represented by this type, then `None` is returned.
#[inline]
fn from_i8(n: i8) -> Option<Self> {
FromPrimitive::from_i64(From::from(n))
}
/// Convert an `i16` to return an optional value of this type. If the
/// type cannot be represented by this value, then `None` is returned.
/// Converts an `i16` to return an optional value of this type. If the
/// value cannot be represented by this type, then `None` is returned.
#[inline]
fn from_i16(n: i16) -> Option<Self> {
FromPrimitive::from_i64(From::from(n))
}
/// Convert an `i32` to return an optional value of this type. If the
/// type cannot be represented by this value, then `None` is returned.
/// Converts an `i32` to return an optional value of this type. If the
/// value cannot be represented by this type, then `None` is returned.
#[inline]
fn from_i32(n: i32) -> Option<Self> {
FromPrimitive::from_i64(From::from(n))
}
/// Convert an `i64` to return an optional value of this type. If the
/// type cannot be represented by this value, then `None` is returned.
/// Converts an `i64` to return an optional value of this type. If the
/// value cannot be represented by this type, then `None` is returned.
fn from_i64(n: i64) -> Option<Self>;
/// Convert an `i128` to return an optional value of this type. If the
/// type cannot be represented by this value, then `None` is returned.
/// Converts an `i128` to return an optional value of this type. If the
/// value cannot be represented by this type, then `None` is returned.
///
/// This method is only available with feature `i128` enabled on Rust >= 1.26.
///
/// The default implementation converts through `from_i64()`. Types implementing
/// The default implementation converts through `from_i64()`. Types implementing
/// this trait should override this method if they can represent a greater range.
#[inline]
#[cfg(has_i128)]
@ -407,44 +422,44 @@ pub trait FromPrimitive: Sized {
n.to_i64().and_then(FromPrimitive::from_i64)
}
/// Convert a `usize` to return an optional value of this type. If the
/// type cannot be represented by this value, then `None` is returned.
/// Converts a `usize` to return an optional value of this type. If the
/// value cannot be represented by this type, then `None` is returned.
#[inline]
fn from_usize(n: usize) -> Option<Self> {
n.to_u64().and_then(FromPrimitive::from_u64)
}
/// Convert an `u8` to return an optional value of this type. If the
/// type cannot be represented by this value, then `None` is returned.
/// Converts an `u8` to return an optional value of this type. If the
/// value cannot be represented by this type, then `None` is returned.
#[inline]
fn from_u8(n: u8) -> Option<Self> {
FromPrimitive::from_u64(From::from(n))
}
/// Convert an `u16` to return an optional value of this type. If the
/// type cannot be represented by this value, then `None` is returned.
/// Converts an `u16` to return an optional value of this type. If the
/// value cannot be represented by this type, then `None` is returned.
#[inline]
fn from_u16(n: u16) -> Option<Self> {
FromPrimitive::from_u64(From::from(n))
}
/// Convert an `u32` to return an optional value of this type. If the
/// type cannot be represented by this value, then `None` is returned.
/// Converts an `u32` to return an optional value of this type. If the
/// value cannot be represented by this type, then `None` is returned.
#[inline]
fn from_u32(n: u32) -> Option<Self> {
FromPrimitive::from_u64(From::from(n))
}
/// Convert an `u64` to return an optional value of this type. If the
/// type cannot be represented by this value, then `None` is returned.
/// Converts an `u64` to return an optional value of this type. If the
/// value cannot be represented by this type, then `None` is returned.
fn from_u64(n: u64) -> Option<Self>;
/// Convert an `u128` to return an optional value of this type. If the
/// type cannot be represented by this value, then `None` is returned.
/// Converts an `u128` to return an optional value of this type. If the
/// value cannot be represented by this type, then `None` is returned.
///
/// This method is only available with feature `i128` enabled on Rust >= 1.26.
///
/// The default implementation converts through `from_u64()`. Types implementing
/// The default implementation converts through `from_u64()`. Types implementing
/// this trait should override this method if they can represent a greater range.
#[inline]
#[cfg(has_i128)]
@ -452,15 +467,15 @@ pub trait FromPrimitive: Sized {
n.to_u64().and_then(FromPrimitive::from_u64)
}
/// Convert a `f32` to return an optional value of this type. If the
/// type cannot be represented by this value, then `None` is returned.
/// Converts a `f32` to return an optional value of this type. If the
/// value cannot be represented by this type, then `None` is returned.
#[inline]
fn from_f32(n: f32) -> Option<Self> {
FromPrimitive::from_f64(From::from(n))
}
/// Convert a `f64` to return an optional value of this type. If the
/// type cannot be represented by this value, then `None` is returned.
/// Converts a `f64` to return an optional value of this type. If the
/// value cannot be represented by this type, then `None` is returned.
#[inline]
fn from_f64(n: f64) -> Option<Self> {
match n.to_i64() {
@ -639,7 +654,8 @@ pub fn cast<T: NumCast, U: NumCast>(n: T) -> Option<U> {
/// An interface for casting between machine scalars.
pub trait NumCast: Sized + ToPrimitive {
/// Creates a number from another value that can be converted into
/// a primitive via the `ToPrimitive` trait.
/// a primitive via the `ToPrimitive` trait. If the source value cannot be
/// represented by the target type, then `None` is returned.
fn from<T: ToPrimitive>(n: T) -> Option<Self>;
}
@ -682,7 +698,7 @@ impl<T: NumCast> NumCast for Wrapping<T> {
/// A generic interface for casting between machine scalars with the
/// `as` operator, which admits narrowing and precision loss.
/// Implementers of this trait AsPrimitive should behave like a primitive
/// Implementers of this trait `AsPrimitive` should behave like a primitive
/// numeric type (e.g. a newtype around another primitive), and the
/// intended conversion must never fail.
///

341
third_party/rust/num-traits/src/float.rs поставляемый
Просмотреть файл

@ -7,6 +7,9 @@ use core::f64;
use {Num, NumCast, ToPrimitive};
#[cfg(all(not(feature = "std"), feature = "libm"))]
use libm;
/// Generic trait for floating point numbers that works with `no_std`.
///
/// This trait implements a subset of the `Float` trait.
@ -766,6 +769,8 @@ impl FloatCore for f32 {
const EXP_MASK: u32 = 0x7f800000;
const MAN_MASK: u32 = 0x007fffff;
// Safety: this identical to the implementation of f32::to_bits(),
// which is only available starting at Rust 1.20
let bits: u32 = unsafe { mem::transmute(self) };
match (bits & MAN_MASK, bits & EXP_MASK) {
(0, 0) => FpCategory::Zero,
@ -838,6 +843,8 @@ impl FloatCore for f64 {
const EXP_MASK: u64 = 0x7ff0000000000000;
const MAN_MASK: u64 = 0x000fffffffffffff;
// Safety: this identical to the implementation of f64::to_bits(),
// which is only available starting at Rust 1.20
let bits: u64 = unsafe { mem::transmute(self) };
match (bits & MAN_MASK, bits & EXP_MASK) {
(0, 0) => FpCategory::Zero,
@ -893,8 +900,8 @@ impl FloatCore for f64 {
/// Generic trait for floating point numbers
///
/// This trait is only available with the `std` feature.
#[cfg(feature = "std")]
/// This trait is only available with the `std` feature, or with the `libm` feature otherwise.
#[cfg(any(feature = "std", feature = "libm"))]
pub trait Float: Num + Copy + NumCast + PartialOrd + Neg<Output = Self> {
/// Returns the `NaN` value.
///
@ -1802,7 +1809,7 @@ pub trait Float: Num + Copy + NumCast + PartialOrd + Neg<Output = Self> {
}
#[cfg(feature = "std")]
macro_rules! float_impl {
macro_rules! float_impl_std {
($T:ident $decode:ident) => {
impl Float for $T {
constant! {
@ -1880,7 +1887,57 @@ macro_rules! float_impl {
};
}
#[cfg(all(not(feature = "std"), feature = "libm"))]
macro_rules! float_impl_libm {
($T:ident $decode:ident) => {
constant! {
nan() -> $T::NAN;
infinity() -> $T::INFINITY;
neg_infinity() -> $T::NEG_INFINITY;
neg_zero() -> -0.0;
min_value() -> $T::MIN;
min_positive_value() -> $T::MIN_POSITIVE;
epsilon() -> $T::EPSILON;
max_value() -> $T::MAX;
}
#[inline]
fn integer_decode(self) -> (u64, i16, i8) {
$decode(self)
}
#[inline]
fn fract(self) -> Self {
self - FloatCore::trunc(self)
}
#[inline]
fn log(self, base: Self) -> Self {
self.ln() / base.ln()
}
forward! {
FloatCore::is_nan(self) -> bool;
FloatCore::is_infinite(self) -> bool;
FloatCore::is_finite(self) -> bool;
FloatCore::is_normal(self) -> bool;
FloatCore::classify(self) -> FpCategory;
FloatCore::signum(self) -> Self;
FloatCore::is_sign_positive(self) -> bool;
FloatCore::is_sign_negative(self) -> bool;
FloatCore::recip(self) -> Self;
FloatCore::powi(self, n: i32) -> Self;
FloatCore::to_degrees(self) -> Self;
FloatCore::to_radians(self) -> Self;
FloatCore::max(self, other: Self) -> Self;
FloatCore::min(self, other: Self) -> Self;
}
};
}
fn integer_decode_f32(f: f32) -> (u64, i16, i8) {
// Safety: this identical to the implementation of f32::to_bits(),
// which is only available starting at Rust 1.20
let bits: u32 = unsafe { mem::transmute(f) };
let sign: i8 = if bits >> 31 == 0 { 1 } else { -1 };
let mut exponent: i16 = ((bits >> 23) & 0xff) as i16;
@ -1895,6 +1952,8 @@ fn integer_decode_f32(f: f32) -> (u64, i16, i8) {
}
fn integer_decode_f64(f: f64) -> (u64, i16, i8) {
// Safety: this identical to the implementation of f64::to_bits(),
// which is only available starting at Rust 1.20
let bits: u64 = unsafe { mem::transmute(f) };
let sign: i8 = if bits >> 63 == 0 { 1 } else { -1 };
let mut exponent: i16 = ((bits >> 52) & 0x7ff) as i16;
@ -1909,9 +1968,279 @@ fn integer_decode_f64(f: f64) -> (u64, i16, i8) {
}
#[cfg(feature = "std")]
float_impl!(f32 integer_decode_f32);
float_impl_std!(f32 integer_decode_f32);
#[cfg(feature = "std")]
float_impl!(f64 integer_decode_f64);
float_impl_std!(f64 integer_decode_f64);
#[cfg(all(not(feature = "std"), feature = "libm"))]
impl Float for f32 {
float_impl_libm!(f32 integer_decode_f32);
#[inline]
#[allow(deprecated)]
fn abs_sub(self, other: Self) -> Self {
libm::fdimf(self, other)
}
#[inline]
fn floor(self) -> Self {
libm::floorf(self)
}
#[inline]
fn ceil(self) -> Self {
libm::ceilf(self)
}
#[inline]
fn round(self) -> Self {
libm::roundf(self)
}
#[inline]
fn trunc(self) -> Self {
libm::truncf(self)
}
#[inline]
fn abs(self) -> Self {
libm::fabsf(self)
}
#[inline]
fn mul_add(self, a: Self, b: Self) -> Self {
libm::fmaf(self, a, b)
}
#[inline]
fn powf(self, n: Self) -> Self {
libm::powf(self, n)
}
#[inline]
fn sqrt(self) -> Self {
libm::sqrtf(self)
}
#[inline]
fn exp(self) -> Self {
libm::expf(self)
}
#[inline]
fn exp2(self) -> Self {
libm::exp2f(self)
}
#[inline]
fn ln(self) -> Self {
libm::logf(self)
}
#[inline]
fn log2(self) -> Self {
libm::log2f(self)
}
#[inline]
fn log10(self) -> Self {
libm::log10f(self)
}
#[inline]
fn cbrt(self) -> Self {
libm::cbrtf(self)
}
#[inline]
fn hypot(self, other: Self) -> Self {
libm::hypotf(self, other)
}
#[inline]
fn sin(self) -> Self {
libm::sinf(self)
}
#[inline]
fn cos(self) -> Self {
libm::cosf(self)
}
#[inline]
fn tan(self) -> Self {
libm::tanf(self)
}
#[inline]
fn asin(self) -> Self {
libm::asinf(self)
}
#[inline]
fn acos(self) -> Self {
libm::acosf(self)
}
#[inline]
fn atan(self) -> Self {
libm::atanf(self)
}
#[inline]
fn atan2(self, other: Self) -> Self {
libm::atan2f(self, other)
}
#[inline]
fn sin_cos(self) -> (Self, Self) {
libm::sincosf(self)
}
#[inline]
fn exp_m1(self) -> Self {
libm::expm1f(self)
}
#[inline]
fn ln_1p(self) -> Self {
libm::log1pf(self)
}
#[inline]
fn sinh(self) -> Self {
libm::sinhf(self)
}
#[inline]
fn cosh(self) -> Self {
libm::coshf(self)
}
#[inline]
fn tanh(self) -> Self {
libm::tanhf(self)
}
#[inline]
fn asinh(self) -> Self {
libm::asinhf(self)
}
#[inline]
fn acosh(self) -> Self {
libm::acoshf(self)
}
#[inline]
fn atanh(self) -> Self {
libm::atanhf(self)
}
}
#[cfg(all(not(feature = "std"), feature = "libm"))]
impl Float for f64 {
float_impl_libm!(f64 integer_decode_f64);
#[inline]
#[allow(deprecated)]
fn abs_sub(self, other: Self) -> Self {
libm::fdim(self, other)
}
#[inline]
fn floor(self) -> Self {
libm::floor(self)
}
#[inline]
fn ceil(self) -> Self {
libm::ceil(self)
}
#[inline]
fn round(self) -> Self {
libm::round(self)
}
#[inline]
fn trunc(self) -> Self {
libm::trunc(self)
}
#[inline]
fn abs(self) -> Self {
libm::fabs(self)
}
#[inline]
fn mul_add(self, a: Self, b: Self) -> Self {
libm::fma(self, a, b)
}
#[inline]
fn powf(self, n: Self) -> Self {
libm::pow(self, n)
}
#[inline]
fn sqrt(self) -> Self {
libm::sqrt(self)
}
#[inline]
fn exp(self) -> Self {
libm::exp(self)
}
#[inline]
fn exp2(self) -> Self {
libm::exp2(self)
}
#[inline]
fn ln(self) -> Self {
libm::log(self)
}
#[inline]
fn log2(self) -> Self {
libm::log2(self)
}
#[inline]
fn log10(self) -> Self {
libm::log10(self)
}
#[inline]
fn cbrt(self) -> Self {
libm::cbrt(self)
}
#[inline]
fn hypot(self, other: Self) -> Self {
libm::hypot(self, other)
}
#[inline]
fn sin(self) -> Self {
libm::sin(self)
}
#[inline]
fn cos(self) -> Self {
libm::cos(self)
}
#[inline]
fn tan(self) -> Self {
libm::tan(self)
}
#[inline]
fn asin(self) -> Self {
libm::asin(self)
}
#[inline]
fn acos(self) -> Self {
libm::acos(self)
}
#[inline]
fn atan(self) -> Self {
libm::atan(self)
}
#[inline]
fn atan2(self, other: Self) -> Self {
libm::atan2(self, other)
}
#[inline]
fn sin_cos(self) -> (Self, Self) {
libm::sincos(self)
}
#[inline]
fn exp_m1(self) -> Self {
libm::expm1(self)
}
#[inline]
fn ln_1p(self) -> Self {
libm::log1p(self)
}
#[inline]
fn sinh(self) -> Self {
libm::sinh(self)
}
#[inline]
fn cosh(self) -> Self {
libm::cosh(self)
}
#[inline]
fn tanh(self) -> Self {
libm::tanh(self)
}
#[inline]
fn asinh(self) -> Self {
libm::asinh(self)
}
#[inline]
fn acosh(self) -> Self {
libm::acosh(self)
}
#[inline]
fn atanh(self) -> Self {
libm::atanh(self)
}
}
macro_rules! float_const_impl {
($(#[$doc:meta] $constant:ident,)+) => (
@ -1994,7 +2323,7 @@ mod tests {
}
}
#[cfg(feature = "std")]
#[cfg(any(feature = "std", feature = "libm"))]
#[test]
fn convert_deg_rad_std() {
for &(deg, rad) in &DEG_RAD_PAIRS {

53
third_party/rust/num-traits/src/identities.rs поставляемый
Просмотреть файл

@ -2,16 +2,15 @@ use core::num::Wrapping;
use core::ops::{Add, Mul};
/// Defines an additive identity element for `Self`.
///
/// # Laws
///
/// ```{.text}
/// a + 0 = a ∀ a ∈ Self
/// 0 + a = a ∀ a ∈ Self
/// ```
pub trait Zero: Sized + Add<Self, Output = Self> {
/// Returns the additive identity element of `Self`, `0`.
///
/// # Laws
///
/// ```{.text}
/// a + 0 = a ∀ a ∈ Self
/// 0 + a = a ∀ a ∈ Self
/// ```
///
/// # Purity
///
/// This function should return the same result at all times regardless of
@ -20,8 +19,12 @@ pub trait Zero: Sized + Add<Self, Output = Self> {
// This cannot be an associated constant, because of bignums.
fn zero() -> Self;
/// Sets `self` to the additive identity element of `Self`, `0`.
fn set_zero(&mut self) {
*self = Zero::zero();
}
/// Returns `true` if `self` is equal to the additive identity.
#[inline]
fn is_zero(&self) -> bool;
}
@ -66,22 +69,27 @@ where
fn is_zero(&self) -> bool {
self.0.is_zero()
}
fn set_zero(&mut self) {
self.0.set_zero();
}
fn zero() -> Self {
Wrapping(T::zero())
}
}
/// Defines a multiplicative identity element for `Self`.
///
/// # Laws
///
/// ```{.text}
/// a * 1 = a ∀ a ∈ Self
/// 1 * a = a ∀ a ∈ Self
/// ```
pub trait One: Sized + Mul<Self, Output = Self> {
/// Returns the multiplicative identity element of `Self`, `1`.
///
/// # Laws
///
/// ```{.text}
/// a * 1 = a ∀ a ∈ Self
/// 1 * a = a ∀ a ∈ Self
/// ```
///
/// # Purity
///
/// This function should return the same result at all times regardless of
@ -90,6 +98,11 @@ pub trait One: Sized + Mul<Self, Output = Self> {
// This cannot be an associated constant, because of bignums.
fn one() -> Self;
/// Sets `self` to the multiplicative identity element of `Self`, `1`.
fn set_one(&mut self) {
*self = One::one();
}
/// Returns `true` if `self` is equal to the multiplicative identity.
///
/// For performance reasons, it's best to implement this manually.
@ -111,6 +124,10 @@ macro_rules! one_impl {
fn one() -> $t {
$v
}
#[inline]
fn is_one(&self) -> bool {
*self == $v
}
}
};
}
@ -138,6 +155,10 @@ impl<T: One> One for Wrapping<T>
where
Wrapping<T>: Mul<Output = Wrapping<T>>,
{
fn set_one(&mut self) {
self.0.set_one();
}
fn one() -> Self {
Wrapping(T::one())
}

32
third_party/rust/num-traits/src/int.rs поставляемый
Просмотреть файл

@ -5,6 +5,32 @@ use ops::checked::*;
use ops::saturating::Saturating;
use {Num, NumCast};
/// Generic trait for primitive integers.
///
/// The `PrimInt` trait is an abstraction over the builtin primitive integer types (e.g., `u8`,
/// `u32`, `isize`, `i128`, ...). It inherits the basic numeric traits and extends them with
/// bitwise operators and non-wrapping arithmetic.
///
/// The trait explicitly inherits `Copy`, `Eq`, `Ord`, and `Sized`. The intention is that all
/// types implementing this trait behave like primitive types that are passed by value by default
/// and behave like builtin integers. Furthermore, the types are expected to expose the integer
/// value in binary representation and support bitwise operators. The standard bitwise operations
/// (e.g., bitwise-and, bitwise-or, right-shift, left-shift) are inherited and the trait extends
/// these with introspective queries (e.g., `PrimInt::count_ones()`, `PrimInt::leading_zeros()`),
/// bitwise combinators (e.g., `PrimInt::rotate_left()`), and endianness converters (e.g.,
/// `PrimInt::to_be()`).
///
/// All `PrimInt` types are expected to be fixed-width binary integers. The width can be queried
/// via `T::zero().count_zeros()`. The trait currently lacks a way to query the width at
/// compile-time.
///
/// While a default implementation for all builtin primitive integers is provided, the trait is in
/// no way restricted to these. Other integer types that fulfil the requirements are free to
/// implement the trait was well.
///
/// This trait and many of the method names originate in the unstable `core::num::Int` trait from
/// the rust standard library. The original trait was never stabilized and thus removed from the
/// standard library.
pub trait PrimInt:
Sized
+ Copy
@ -171,10 +197,10 @@ pub trait PrimInt:
/// ```
/// use num_traits::PrimInt;
///
/// let n = 0xFEDCBA9876543210i64;
/// let m = 0x000FEDCBA9876543i64;
/// let n = -8i8; // 0b11111000
/// let m = 62i8; // 0b00111110
///
/// assert_eq!(n.unsigned_shr(12), m);
/// assert_eq!(n.unsigned_shr(2), m);
/// ```
fn unsigned_shr(self, n: u32) -> Self;

139
third_party/rust/num-traits/src/lib.rs поставляемый
Просмотреть файл

@ -20,13 +20,17 @@
#[cfg(feature = "std")]
extern crate std;
// Only `no_std` builds actually use `libm`.
#[cfg(all(not(feature = "std"), feature = "libm"))]
extern crate libm;
use core::fmt;
use core::num::Wrapping;
use core::ops::{Add, Div, Mul, Rem, Sub};
use core::ops::{AddAssign, DivAssign, MulAssign, RemAssign, SubAssign};
pub use bounds::Bounded;
#[cfg(feature = "std")]
#[cfg(any(feature = "std", feature = "libm"))]
pub use float::Float;
pub use float::FloatConst;
// pub use real::{FloatCore, Real}; // NOTE: Don't do this, it breaks `use num_traits::*;`.
@ -53,7 +57,6 @@ pub mod identities;
pub mod int;
pub mod ops;
pub mod pow;
#[cfg(feature = "std")]
pub mod real;
pub mod sign;
@ -90,13 +93,12 @@ pub trait NumOps<Rhs = Self, Output = Self>:
{
}
impl<T, Rhs, Output> NumOps<Rhs, Output> for T
where
impl<T, Rhs, Output> NumOps<Rhs, Output> for T where
T: Add<Rhs, Output = Output>
+ Sub<Rhs, Output = Output>
+ Mul<Rhs, Output = Output>
+ Div<Rhs, Output = Output>
+ Rem<Rhs, Output = Output>,
+ Rem<Rhs, Output = Output>
{
}
@ -105,22 +107,14 @@ where
///
/// This is automatically implemented for types which implement the operators.
pub trait NumRef: Num + for<'r> NumOps<&'r Self> {}
impl<T> NumRef for T
where
T: Num + for<'r> NumOps<&'r T>,
{
}
impl<T> NumRef for T where T: Num + for<'r> NumOps<&'r T> {}
/// The trait for references which implement numeric operations, taking the
/// second operand either by value or by reference.
///
/// This is automatically implemented for types which implement the operators.
pub trait RefNum<Base>: NumOps<Base, Base> + for<'r> NumOps<&'r Base, Base> {}
impl<T, Base> RefNum<Base> for T
where
T: NumOps<Base, Base> + for<'r> NumOps<&'r Base, Base>,
{
}
impl<T, Base> RefNum<Base> for T where T: NumOps<Base, Base> + for<'r> NumOps<&'r Base, Base> {}
/// The trait for types implementing numeric assignment operators (like `+=`).
///
@ -130,9 +124,8 @@ pub trait NumAssignOps<Rhs = Self>:
{
}
impl<T, Rhs> NumAssignOps<Rhs> for T
where
T: AddAssign<Rhs> + SubAssign<Rhs> + MulAssign<Rhs> + DivAssign<Rhs> + RemAssign<Rhs>,
impl<T, Rhs> NumAssignOps<Rhs> for T where
T: AddAssign<Rhs> + SubAssign<Rhs> + MulAssign<Rhs> + DivAssign<Rhs> + RemAssign<Rhs>
{
}
@ -140,22 +133,14 @@ where
///
/// This is automatically implemented for types which implement the operators.
pub trait NumAssign: Num + NumAssignOps {}
impl<T> NumAssign for T
where
T: Num + NumAssignOps,
{
}
impl<T> NumAssign for T where T: Num + NumAssignOps {}
/// The trait for `NumAssign` types which also implement assignment operations
/// taking the second operand by reference.
///
/// This is automatically implemented for types which implement the operators.
pub trait NumAssignRef: NumAssign + for<'r> NumAssignOps<&'r Self> {}
impl<T> NumAssignRef for T
where
T: NumAssign + for<'r> NumAssignOps<&'r T>,
{
}
impl<T> NumAssignRef for T where T: NumAssign + for<'r> NumAssignOps<&'r T> {}
macro_rules! int_trait_impl {
($name:ident for $($t:ty)*) => ($(
@ -234,7 +219,12 @@ macro_rules! float_trait_impl {
}
fn slice_shift_char(src: &str) -> Option<(char, &str)> {
src.chars().nth(0).map(|ch| (ch, &src[1..]))
let mut chars = src.chars();
if let Some(ch) = chars.next() {
Some((ch, chars.as_str()))
} else {
None
}
}
let (is_positive, src) = match slice_shift_char(src) {
@ -377,6 +367,8 @@ float_trait_impl!(Num for f32 f64);
/// If input is less than min then this returns min.
/// If input is greater than max then this returns max.
/// Otherwise this returns input.
///
/// **Panics** in debug mode if `!(min <= max)`.
#[inline]
pub fn clamp<T: PartialOrd>(input: T, min: T, max: T) -> T {
debug_assert!(min <= max, "min must be less than or equal to max");
@ -389,17 +381,97 @@ pub fn clamp<T: PartialOrd>(input: T, min: T, max: T) -> T {
}
}
/// A value bounded by a minimum value
///
/// If input is less than min then this returns min.
/// Otherwise this returns input.
/// `clamp_min(std::f32::NAN, 1.0)` preserves `NAN` different from `f32::min(std::f32::NAN, 1.0)`.
///
/// **Panics** in debug mode if `!(min == min)`. (This occurs if `min` is `NAN`.)
#[inline]
pub fn clamp_min<T: PartialOrd>(input: T, min: T) -> T {
debug_assert!(min == min, "min must not be NAN");
if input < min {
min
} else {
input
}
}
/// A value bounded by a maximum value
///
/// If input is greater than max then this returns max.
/// Otherwise this returns input.
/// `clamp_max(std::f32::NAN, 1.0)` preserves `NAN` different from `f32::max(std::f32::NAN, 1.0)`.
///
/// **Panics** in debug mode if `!(max == max)`. (This occurs if `max` is `NAN`.)
#[inline]
pub fn clamp_max<T: PartialOrd>(input: T, max: T) -> T {
debug_assert!(max == max, "max must not be NAN");
if input > max {
max
} else {
input
}
}
#[test]
fn clamp_test() {
// Int test
assert_eq!(1, clamp(1, -1, 2));
assert_eq!(-1, clamp(-2, -1, 2));
assert_eq!(2, clamp(3, -1, 2));
assert_eq!(1, clamp_min(1, -1));
assert_eq!(-1, clamp_min(-2, -1));
assert_eq!(-1, clamp_max(1, -1));
assert_eq!(-2, clamp_max(-2, -1));
// Float test
assert_eq!(1.0, clamp(1.0, -1.0, 2.0));
assert_eq!(-1.0, clamp(-2.0, -1.0, 2.0));
assert_eq!(2.0, clamp(3.0, -1.0, 2.0));
assert_eq!(1.0, clamp_min(1.0, -1.0));
assert_eq!(-1.0, clamp_min(-2.0, -1.0));
assert_eq!(-1.0, clamp_max(1.0, -1.0));
assert_eq!(-2.0, clamp_max(-2.0, -1.0));
assert!(clamp(::core::f32::NAN, -1.0, 1.0).is_nan());
assert!(clamp_min(::core::f32::NAN, 1.0).is_nan());
assert!(clamp_max(::core::f32::NAN, 1.0).is_nan());
}
#[test]
#[should_panic]
#[cfg(debug_assertions)]
fn clamp_nan_min() {
clamp(0., ::core::f32::NAN, 1.);
}
#[test]
#[should_panic]
#[cfg(debug_assertions)]
fn clamp_nan_max() {
clamp(0., -1., ::core::f32::NAN);
}
#[test]
#[should_panic]
#[cfg(debug_assertions)]
fn clamp_nan_min_max() {
clamp(0., ::core::f32::NAN, ::core::f32::NAN);
}
#[test]
#[should_panic]
#[cfg(debug_assertions)]
fn clamp_min_nan_min() {
clamp_min(0., ::core::f32::NAN);
}
#[test]
#[should_panic]
#[cfg(debug_assertions)]
fn clamp_max_nan_max() {
clamp_max(0., ::core::f32::NAN);
}
#[test]
@ -413,6 +485,15 @@ fn from_str_radix_unwrap() {
assert_eq!(f, 0.0);
}
#[test]
fn from_str_radix_multi_byte_fail() {
// Ensure parsing doesn't panic, even on invalid sign characters
assert!(f32::from_str_radix("™0.2", 10).is_err());
// Even when parsing the exponent sign
assert!(f32::from_str_radix("0.2E™1", 10).is_err());
}
#[test]
fn wrapping_is_num() {
fn require_num<T: Num>(_: &T) {}

Просмотреть файл

@ -195,10 +195,11 @@ checked_impl_unary!(CheckedNeg, checked_neg, isize);
#[cfg(has_i128)]
checked_impl_unary!(CheckedNeg, checked_neg, i128);
/// Performs a left shift that returns `None` on overflow.
/// Performs a left shift that returns `None` on shifts larger than
/// the type width.
pub trait CheckedShl: Sized + Shl<u32, Output = Self> {
/// Shifts a number to the left, checking for overflow. If overflow happens,
/// `None` is returned.
/// Checked shift left. Computes `self << rhs`, returning `None`
/// if `rhs` is larger than or equal to the number of bits in `self`.
///
/// ```
/// use num_traits::CheckedShl;
@ -240,10 +241,11 @@ checked_shift_impl!(CheckedShl, checked_shl, isize);
#[cfg(has_i128)]
checked_shift_impl!(CheckedShl, checked_shl, i128);
/// Performs a right shift that returns `None` on overflow.
/// Performs a right shift that returns `None` on shifts larger than
/// the type width.
pub trait CheckedShr: Sized + Shr<u32, Output = Self> {
/// Shifts a number to the left, checking for overflow. If overflow happens,
/// `None` is returned.
/// Checked shift right. Computes `self >> rhs`, returning `None`
/// if `rhs` is larger than or equal to the number of bits in `self`.
///
/// ```
/// use num_traits::CheckedShr;

Просмотреть файл

@ -18,7 +18,7 @@
/// // 100.0
/// let abs_difference = (m.mul_add(x, b) - (m*x + b)).abs();
///
/// assert!(abs_difference <= f32::EPSILON);
/// assert!(abs_difference <= 100.0 * f32::EPSILON);
/// ```
pub trait MulAdd<A = Self, B = Self> {
/// The resulting type after applying the fused multiply-add.
@ -34,23 +34,23 @@ pub trait MulAddAssign<A = Self, B = Self> {
fn mul_add_assign(&mut self, a: A, b: B);
}
#[cfg(feature = "std")]
#[cfg(any(feature = "std", feature = "libm"))]
impl MulAdd<f32, f32> for f32 {
type Output = Self;
#[inline]
fn mul_add(self, a: Self, b: Self) -> Self::Output {
f32::mul_add(self, a, b)
<Self as ::Float>::mul_add(self, a, b)
}
}
#[cfg(feature = "std")]
#[cfg(any(feature = "std", feature = "libm"))]
impl MulAdd<f64, f64> for f64 {
type Output = Self;
#[inline]
fn mul_add(self, a: Self, b: Self) -> Self::Output {
f64::mul_add(self, a, b)
<Self as ::Float>::mul_add(self, a, b)
}
}
@ -71,19 +71,19 @@ mul_add_impl!(MulAdd for isize usize i8 u8 i16 u16 i32 u32 i64 u64);
#[cfg(has_i128)]
mul_add_impl!(MulAdd for i128 u128);
#[cfg(feature = "std")]
#[cfg(any(feature = "std", feature = "libm"))]
impl MulAddAssign<f32, f32> for f32 {
#[inline]
fn mul_add_assign(&mut self, a: Self, b: Self) {
*self = f32::mul_add(*self, a, b)
*self = <Self as ::Float>::mul_add(*self, a, b)
}
}
#[cfg(feature = "std")]
#[cfg(any(feature = "std", feature = "libm"))]
impl MulAddAssign<f64, f64> for f64 {
#[inline]
fn mul_add_assign(&mut self, a: Self, b: Self) {
*self = f64::mul_add(*self, a, b)
*self = <Self as ::Float>::mul_add(*self, a, b)
}
}
@ -140,7 +140,7 @@ mod tests {
let abs_difference = (MulAdd::mul_add(m, x, b) - (m*x + b)).abs();
assert!(abs_difference <= $t::EPSILON);
assert!(abs_difference <= 46.4 * $t::EPSILON);
}
)+
};

33
third_party/rust/num-traits/src/pow.rs поставляемый
Просмотреть файл

@ -152,28 +152,29 @@ pow_impl!(Wrapping<isize>);
// pow_impl!(usize, u64);
// pow_impl!(isize, u64);
#[cfg(feature = "std")]
#[cfg(any(feature = "std", feature = "libm"))]
mod float_impls {
use super::Pow;
use Float;
pow_impl!(f32, i8, i32, f32::powi);
pow_impl!(f32, u8, i32, f32::powi);
pow_impl!(f32, i16, i32, f32::powi);
pow_impl!(f32, u16, i32, f32::powi);
pow_impl!(f32, i32, i32, f32::powi);
pow_impl!(f64, i8, i32, f64::powi);
pow_impl!(f64, u8, i32, f64::powi);
pow_impl!(f64, i16, i32, f64::powi);
pow_impl!(f64, u16, i32, f64::powi);
pow_impl!(f64, i32, i32, f64::powi);
pow_impl!(f32, f32, f32, f32::powf);
pow_impl!(f64, f32, f64, f64::powf);
pow_impl!(f64, f64, f64, f64::powf);
pow_impl!(f32, i8, i32, <f32 as Float>::powi);
pow_impl!(f32, u8, i32, <f32 as Float>::powi);
pow_impl!(f32, i16, i32, <f32 as Float>::powi);
pow_impl!(f32, u16, i32, <f32 as Float>::powi);
pow_impl!(f32, i32, i32, <f32 as Float>::powi);
pow_impl!(f64, i8, i32, <f64 as Float>::powi);
pow_impl!(f64, u8, i32, <f64 as Float>::powi);
pow_impl!(f64, i16, i32, <f64 as Float>::powi);
pow_impl!(f64, u16, i32, <f64 as Float>::powi);
pow_impl!(f64, i32, i32, <f64 as Float>::powi);
pow_impl!(f32, f32, f32, <f32 as Float>::powf);
pow_impl!(f64, f32, f64, <f64 as Float>::powf);
pow_impl!(f64, f64, f64, <f64 as Float>::powf);
}
/// Raises a value to the power of exp, using exponentiation by squaring.
///
/// Note that `0⁰` (`pow(0, 0)`) returnes `1`. Mathematically this is undefined.
/// Note that `0⁰` (`pow(0, 0)`) returns `1`. Mathematically this is undefined.
///
/// # Example
///
@ -211,7 +212,7 @@ pub fn pow<T: Clone + One + Mul<T, Output = T>>(mut base: T, mut exp: usize) ->
/// Raises a value to the power of exp, returning `None` if an overflow occurred.
///
/// Note that `0⁰` (`checked_pow(0, 0)`) returnes `Some(1)`. Mathematically this is undefined.
/// Note that `0⁰` (`checked_pow(0, 0)`) returns `Some(1)`. Mathematically this is undefined.
///
/// Otherwise same as the `pow` function.
///

6
third_party/rust/num-traits/src/real.rs поставляемый
Просмотреть файл

@ -1,4 +1,6 @@
use std::ops::Neg;
#![cfg(any(feature = "std", feature = "libm"))]
use core::ops::Neg;
use {Float, Num, NumCast};
@ -11,7 +13,7 @@ use {Float, Num, NumCast};
/// See [this Wikipedia article](https://en.wikipedia.org/wiki/Real_data_type)
/// for a list of data types that could meaningfully implement this trait.
///
/// This trait is only available with the `std` feature.
/// This trait is only available with the `std` feature, or with the `libm` feature otherwise.
pub trait Real: Num + Copy + NumCast + PartialOrd + Neg<Output = Self> {
/// Returns the smallest finite value that this type can represent.
///

6
third_party/rust/num-traits/src/sign.rs поставляемый
Просмотреть файл

@ -206,11 +206,7 @@ empty_trait_impl!(Unsigned for usize u8 u16 u32 u64);
#[cfg(has_i128)]
empty_trait_impl!(Unsigned for u128);
impl<T: Unsigned> Unsigned for Wrapping<T>
where
Wrapping<T>: Num,
{
}
impl<T: Unsigned> Unsigned for Wrapping<T> where Wrapping<T>: Num {}
#[test]
fn unsigned_wrapping_is_unsigned() {

Просмотреть файл

@ -1 +1 @@
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{"files":{"Cargo.toml":"62c225dc3a9c63990f9542efc86b23aa444a24d91dab57d8d1a8a3414f0befe0","LICENSE":"cfc7749b96f63bd31c3c42b5c471bf756814053e847c10f3eb003417bc523d30","NOTICE":"6e0c856925602c18a04e173be3a6e2d812a7ca4501176642a07fec1af97e0eab","README.md":"4f227c9d8a3c07e4b82b2812d3fcc512cdf477a4daf2c9c955f49fb2e94cbab8","rustfmt.toml":"925e9c7b3d6df043a11531da116439cc0d0b0368b682875a8fb0e8229fc7df01","src/errors.rs":"efcc4e8472ee06de82b122017cca4e87898034c98bc9b593110b2a4f8a557e26","src/functions.rs":"1bec1b1ac5c38d3db527880ab5b06005f567a52bba7b98b1ec0fdf64f7d0a68b","src/lib.rs":"3d22aaedf17669d9ca5f50c7ff892e7d874d257369fa40b49ed582409ee94455","src/tests.rs":"b7257ef2bff4321ac03095af9b4015fc9a88d2cddddb94ca8ae8f7516b19e7f1","src/types.rs":"797b99955b4fa30ad373ee435076c6d251978bb6ae724cc9a082020fb8f984fc"},"package":null}

48
third_party/rust/pkcs11/Cargo.toml поставляемый
Просмотреть файл

@ -1,33 +1,39 @@
# THIS FILE IS AUTOMATICALLY GENERATED BY CARGO
# Copyright 2017 Marcus Heese
#
# When uploading crates to the registry Cargo will automatically
# "normalize" Cargo.toml files for maximal compatibility
# with all versions of Cargo and also rewrite `path` dependencies
# to registry (e.g., crates.io) dependencies
# 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
#
# If you believe there's an error in this file please file an
# issue against the rust-lang/cargo repository. If you're
# editing this file be aware that the upstream Cargo.toml
# will likely look very different (and much more reasonable)
# 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.
[package]
name = "pkcs11"
version = "0.4.0"
version = "0.4.1"
authors = ["Marcus Heese <marcus.heese@gmail.com>"]
exclude = ["pkcs11-docs/**"]
description = "Rust PKCS#11 Library"
#documentation = "https://github.com/mheese/rust-pkcs11"
homepage = "https://github.com/mheese/rust-pkcs11"
repository = "https://github.com/mheese/rust-pkcs11"
#readme = "..."
keywords = ["pkcs11", "cryptoki"]
categories = ["external-ffi-bindings", "cryptography", "hardware-support"]
license = "Apache-2.0"
repository = "https://github.com/mheese/rust-pkcs11"
[dependencies.libloading]
version = "^0.4"
exclude = [
"pkcs11-docs/**",
]
[dependencies.num-bigint]
version = "^0.1"
[dev-dependencies.hex]
version = "^0.3"
[dependencies]
libloading = "^0.4"
num-bigint = "^0.2"
#libc = "0.2.33"
[dev-dependencies.num-traits]
version = "^0.1"
[dev-dependencies]
num-traits = "^0.1"
hex = "^0.3"
serial_test = "~0.1"
serial_test_derive = "~0.1"

3
third_party/rust/pkcs11/src/lib.rs поставляемый
Просмотреть файл

@ -16,6 +16,9 @@
extern crate libloading;
extern crate num_bigint;
#[cfg(test)]
#[macro_use] extern crate serial_test_derive;
#[cfg(test)]
mod tests;

40
third_party/rust/pkcs11/src/tests.rs поставляемый
Просмотреть файл

@ -46,6 +46,7 @@ fn pkcs11_module_name() -> PathBuf {
}
#[test]
#[serial]
fn test_label_from_str() {
let s30 = "Löwe 老虎 Léopar虎d虎aaa";
let s32 = "Löwe 老虎 Léopar虎d虎aaaö";
@ -75,6 +76,7 @@ fn test_label_from_str() {
assert_eq!(l34[31], 32);
}
#[test]
#[serial]
fn ctx_new() {
let res = Ctx::new(pkcs11_module_name());
assert!(
@ -85,6 +87,7 @@ fn ctx_new() {
}
#[test]
#[serial]
fn ctx_initialize() {
let mut ctx = Ctx::new(pkcs11_module_name()).unwrap();
let res = ctx.initialize(None);
@ -97,6 +100,7 @@ fn ctx_initialize() {
}
#[test]
#[serial]
fn ctx_new_and_initialize() {
let res = Ctx::new_and_initialize(pkcs11_module_name());
assert!(
@ -107,6 +111,7 @@ fn ctx_new_and_initialize() {
}
#[test]
#[serial]
fn ctx_finalize() {
let mut ctx = Ctx::new_and_initialize(pkcs11_module_name()).unwrap();
let res = ctx.finalize();
@ -118,6 +123,7 @@ fn ctx_finalize() {
}
#[test]
#[serial]
fn ctx_get_info() {
let ctx = Ctx::new_and_initialize(pkcs11_module_name()).unwrap();
let res = ctx.get_info();
@ -131,6 +137,7 @@ fn ctx_get_info() {
}
#[test]
#[serial]
fn ctx_get_function_list() {
let ctx = Ctx::new_and_initialize(pkcs11_module_name()).unwrap();
let res = ctx.get_function_list();
@ -144,6 +151,7 @@ fn ctx_get_function_list() {
}
#[test]
#[serial]
fn ctx_get_slot_list() {
let ctx = Ctx::new_and_initialize(pkcs11_module_name()).unwrap();
let res = ctx.get_slot_list(false);
@ -157,6 +165,7 @@ fn ctx_get_slot_list() {
}
#[test]
#[serial]
fn ctx_get_slot_infos() {
let ctx = Ctx::new_and_initialize(pkcs11_module_name()).unwrap();
let slots = ctx.get_slot_list(false).unwrap();
@ -175,6 +184,7 @@ fn ctx_get_slot_infos() {
}
#[test]
#[serial]
fn ctx_get_token_infos() {
let ctx = Ctx::new_and_initialize(pkcs11_module_name()).unwrap();
let slots = ctx.get_slot_list(false).unwrap();
@ -193,6 +203,7 @@ fn ctx_get_token_infos() {
}
#[test]
#[serial]
fn ctx_get_mechanism_lists() {
let ctx = Ctx::new_and_initialize(pkcs11_module_name()).unwrap();
let slots = ctx.get_slot_list(false).unwrap();
@ -211,6 +222,7 @@ fn ctx_get_mechanism_lists() {
}
#[test]
#[serial]
fn ctx_get_mechanism_infos() {
let ctx = Ctx::new_and_initialize(pkcs11_module_name()).unwrap();
let slots = ctx.get_slot_list(false).unwrap();
@ -233,6 +245,7 @@ fn ctx_get_mechanism_infos() {
}
#[test]
#[serial]
fn ctx_init_token() {
let ctx = Ctx::new_and_initialize(pkcs11_module_name()).unwrap();
let slots = ctx.get_slot_list(false).unwrap();
@ -258,6 +271,7 @@ fn ctx_init_token() {
}
#[test]
#[serial]
fn ctx_init_pin() {
let ctx = Ctx::new_and_initialize(pkcs11_module_name()).unwrap();
let slots = ctx.get_slot_list(false).unwrap();
@ -283,6 +297,7 @@ fn ctx_init_pin() {
}
#[test]
#[serial]
fn ctx_set_pin() {
let ctx = Ctx::new_and_initialize(pkcs11_module_name()).unwrap();
let slots = ctx.get_slot_list(false).unwrap();
@ -310,6 +325,7 @@ fn ctx_set_pin() {
}
#[test]
#[serial]
fn ctx_open_session() {
let ctx = Ctx::new_and_initialize(pkcs11_module_name()).unwrap();
let slots = ctx.get_slot_list(false).unwrap();
@ -331,6 +347,7 @@ fn ctx_open_session() {
}
#[test]
#[serial]
fn ctx_close_session() {
let ctx = Ctx::new_and_initialize(pkcs11_module_name()).unwrap();
let slots = ctx.get_slot_list(false).unwrap();
@ -354,6 +371,7 @@ fn ctx_close_session() {
}
#[test]
#[serial]
fn ctx_close_all_sessions() {
let ctx = Ctx::new_and_initialize(pkcs11_module_name()).unwrap();
let slots = ctx.get_slot_list(false).unwrap();
@ -377,6 +395,7 @@ fn ctx_close_all_sessions() {
}
#[test]
#[serial]
fn ctx_get_session_info() {
let ctx = Ctx::new_and_initialize(pkcs11_module_name()).unwrap();
let slots = ctx.get_slot_list(false).unwrap();
@ -401,6 +420,7 @@ fn ctx_get_session_info() {
}
#[test]
#[serial]
fn ctx_login() {
let ctx = Ctx::new_and_initialize(pkcs11_module_name()).unwrap();
let slots = ctx.get_slot_list(false).unwrap();
@ -425,6 +445,7 @@ fn ctx_login() {
}
#[test]
#[serial]
fn ctx_logout() {
let ctx = Ctx::new_and_initialize(pkcs11_module_name()).unwrap();
let slots = ctx.get_slot_list(false).unwrap();
@ -575,6 +596,7 @@ fn fixture_token() -> Result<(Ctx, CK_SESSION_HANDLE), Error> {
}
#[test]
#[serial]
fn ctx_create_object() {
/*
CKA_CLASS ck_type object_class:CKO_DATA
@ -642,6 +664,7 @@ fn fixture_token_and_object() -> Result<(Ctx, CK_SESSION_HANDLE, CK_OBJECT_HANDL
}
#[test]
#[serial]
fn ctx_copy_object() {
let (ctx, sh, oh) = fixture_token_and_object().unwrap();
@ -663,6 +686,7 @@ fn ctx_copy_object() {
}
#[test]
#[serial]
fn ctx_destroy_object() {
let (ctx, sh, oh) = fixture_token_and_object().unwrap();
@ -677,6 +701,7 @@ fn ctx_destroy_object() {
}
#[test]
#[serial]
fn ctx_get_object_size() {
let (ctx, sh, oh) = fixture_token_and_object().unwrap();
@ -693,6 +718,7 @@ fn ctx_get_object_size() {
}
#[test]
#[serial]
fn ctx_get_attribute_value() {
{
let (ctx, sh, oh) = fixture_token_and_object().unwrap();
@ -748,6 +774,7 @@ fn ctx_get_attribute_value() {
}
#[test]
#[serial]
fn ctx_set_attribute_value() {
let (ctx, sh, oh) = fixture_token_and_object().unwrap();
@ -771,6 +798,7 @@ fn ctx_set_attribute_value() {
}
#[test]
#[serial]
fn ctx_find_objects_init() {
let (ctx, sh, _) = fixture_token_and_object().unwrap();
@ -788,6 +816,7 @@ fn ctx_find_objects_init() {
}
#[test]
#[serial]
fn ctx_find_objects() {
let (ctx, sh, _) = fixture_token_and_object().unwrap();
@ -809,6 +838,7 @@ fn ctx_find_objects() {
}
#[test]
#[serial]
fn ctx_find_objects_final() {
let (ctx, sh, _) = fixture_token_and_object().unwrap();
@ -828,6 +858,7 @@ fn ctx_find_objects_final() {
}
#[test]
#[serial]
fn ctx_generate_key() {
let (ctx, sh) = fixture_token().unwrap();
@ -894,6 +925,7 @@ fn ctx_generate_key() {
}
#[test]
#[serial]
fn ctx_generate_key_pair() {
let (ctx, sh) = fixture_token().unwrap();
@ -1227,6 +1259,7 @@ fn fixture_dh_key_pair(
}
#[test]
#[serial]
fn ctx_wrap_key() {
let (ctx, sh, wrapOh, secOh) = fixture_token_and_secret_keys().unwrap();
@ -1256,6 +1289,7 @@ fn ctx_wrap_key() {
}
#[test]
#[serial]
fn ctx_unwrap_key() {
let (ctx, sh, wrapOh, secOh) = fixture_token_and_secret_keys().unwrap();
@ -1310,6 +1344,7 @@ fn ctx_unwrap_key() {
}
#[test]
#[serial]
fn ctx_derive_key() {
let (ctx, sh) = fixture_token().unwrap();
@ -1431,6 +1466,7 @@ fn ctx_derive_key() {
}
#[test]
#[serial]
fn ctx_seed_random() {
let (ctx, sh) = fixture_token().unwrap();
@ -1446,6 +1482,7 @@ fn ctx_seed_random() {
}
#[test]
#[serial]
fn ctx_generate_random() {
let (ctx, sh) = fixture_token().unwrap();
let res = ctx.generate_random(sh, 32);
@ -1461,6 +1498,7 @@ fn ctx_generate_random() {
}
#[test]
#[serial]
fn ctx_get_function_status() {
let (ctx, sh) = fixture_token().unwrap();
let res = ctx.get_function_status(sh);
@ -1475,6 +1513,7 @@ fn ctx_get_function_status() {
}
#[test]
#[serial]
fn ctx_cancel_function() {
let (ctx, sh) = fixture_token().unwrap();
let res = ctx.cancel_function(sh);
@ -1489,6 +1528,7 @@ fn ctx_cancel_function() {
}
#[test]
#[serial]
fn ctx_wait_for_slot_event() {
let (ctx, _) = fixture_token().unwrap();
let res = ctx.wait_for_slot_event(CKF_DONT_BLOCK);

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@ -1 +0,0 @@
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277
third_party/rust/rand-0.4.6/CHANGELOG.md поставляемый
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@ -1,277 +0,0 @@
# Changelog
All notable changes to this project will be documented in this file.
The format is based on [Keep a Changelog](http://keepachangelog.com/en/1.0.0/)
and this project adheres to [Semantic Versioning](http://semver.org/spec/v2.0.0.html).
## [0.4.5] - 2019-01-25
### Platforms
- Fuchsia: Replaced fuchsia-zircon with fuchsia-cprng
## [0.4.4] - 2019-01-06
### Added
- SGX support
## [0.4.3] - 2018-08-16
### Fixed
- Use correct syscall number for PowerPC (#589)
## [0.4.2] - 2018-01-05
### Changed
- Use winapi on Windows
- Update for Fuchsia OS
- Remove dev-dependency on `log`
## [0.4.1] - 2017-12-17
### Added
- `no_std` support
## [0.4.0-pre.0] - 2017-12-11
### Added
- `JitterRng` added as a high-quality alternative entropy source using the
system timer
- new `seq` module with `sample_iter`, `sample_slice`, etc.
- WASM support via dummy implementations (fail at run-time)
- Additional benchmarks, covering generators and new seq code
### Changed
- `thread_rng` uses `JitterRng` if seeding from system time fails
(slower but more secure than previous method)
### Deprecated
- `sample` function deprecated (replaced by `sample_iter`)
## [0.3.18] - 2017-11-06
### Changed
- `thread_rng` is seeded from the system time if `OsRng` fails
- `weak_rng` now uses `thread_rng` internally
## [0.3.17] - 2017-10-07
### Changed
- Fuchsia: Magenta was renamed Zircon
## [0.3.16] - 2017-07-27
### Added
- Implement Debug for mote non-public types
- implement `Rand` for (i|u)i128
- Support for Fuchsia
### Changed
- Add inline attribute to SampleRange::construct_range.
This improves the benchmark for sample in 11% and for shuffle in 16%.
- Use `RtlGenRandom` instead of `CryptGenRandom`
## [0.3.15] - 2016-11-26
### Added
- Add `Rng` trait method `choose_mut`
- Redox support
### Changed
- Use `arc4rand` for `OsRng` on FreeBSD.
- Use `arc4random(3)` for `OsRng` on OpenBSD.
### Fixed
- Fix filling buffers 4 GiB or larger with `OsRng::fill_bytes` on Windows
## [0.3.14] - 2016-02-13
### Fixed
- Inline definitions from winapi/advapi32, wich decreases build times
## [0.3.13] - 2016-01-09
### Fixed
- Compatible with Rust 1.7.0-nightly (needed some extra type annotations)
## [0.3.12] - 2015-11-09
### Changed
- Replaced the methods in `next_f32` and `next_f64` with the technique described
Saito & Matsumoto at MCQMC'08. The new method should exhibit a slightly more
uniform distribution.
- Depend on libc 0.2
### Fixed
- Fix iterator protocol issue in `rand::sample`
## [0.3.11] - 2015-08-31
### Added
- Implement `Rand` for arrays with n <= 32
## [0.3.10] - 2015-08-17
### Added
- Support for NaCl platforms
### Changed
- Allow `Rng` to be `?Sized`, impl for `&mut R` and `Box<R>` where `R: ?Sized + Rng`
## [0.3.9] - 2015-06-18
### Changed
- Use `winapi` for Windows API things
### Fixed
- Fixed test on stable/nightly
- Fix `getrandom` syscall number for aarch64-unknown-linux-gnu
## [0.3.8] - 2015-04-23
### Changed
- `log` is a dev dependency
### Fixed
- Fix race condition of atomics in `is_getrandom_available`
## [0.3.7] - 2015-04-03
### Fixed
- Derive Copy/Clone changes
## [0.3.6] - 2015-04-02
### Changed
- Move to stable Rust!
## [0.3.5] - 2015-04-01
### Fixed
- Compatible with Rust master
## [0.3.4] - 2015-03-31
### Added
- Implement Clone for `Weighted`
### Fixed
- Compatible with Rust master
## [0.3.3] - 2015-03-26
### Fixed
- Fix compile on Windows
## [0.3.2] - 2015-03-26
## [0.3.1] - 2015-03-26
### Fixed
- Fix compile on Windows
## [0.3.0] - 2015-03-25
### Changed
- Update to use log version 0.3.x
## [0.2.1] - 2015-03-22
### Fixed
- Compatible with Rust master
- Fixed iOS compilation
## [0.2.0] - 2015-03-06
### Fixed
- Compatible with Rust master (move from `old_io` to `std::io`)
## [0.1.4] - 2015-03-04
### Fixed
- Compatible with Rust master (use wrapping ops)
## [0.1.3] - 2015-02-20
### Fixed
- Compatible with Rust master
### Removed
- Removed Copy inplementaions from RNGs
## [0.1.2] - 2015-02-03
### Added
- Imported functionality from `std::rand`, including:
- `StdRng`, `SeedableRng`, `TreadRng`, `weak_rng()`
- `ReaderRng`: A wrapper around any Reader to treat it as an RNG.
- Imported documentation from `std::rand`
- Imported tests from `std::rand`
## [0.1.1] - 2015-02-03
### Added
- Migrate to a cargo-compatible directory structure.
### Fixed
- Do not use entropy during `gen_weighted_bool(1)`
## [Rust 0.12.0] - 2014-10-09
### Added
- Impl Rand for tuples of arity 11 and 12
- Include ChaCha pseudorandom generator
- Add `next_f64` and `next_f32` to Rng
- Implement Clone for PRNGs
### Changed
- Rename `TaskRng` to `ThreadRng` and `task_rng` to `thread_rng` (since a
runtime is removed from Rust).
### Fixed
- Improved performance of ISAAC and ISAAC64 by 30% and 12 % respectively, by
informing the optimiser that indexing is never out-of-bounds.
### Removed
- Removed the Deprecated `choose_option`
## [Rust 0.11.0] - 2014-07-02
### Added
- document when to use `OSRng` in cryptographic context, and explain why we use `/dev/urandom` instead of `/dev/random`
- `Rng::gen_iter()` which will return an infinite stream of random values
- `Rng::gen_ascii_chars()` which will return an infinite stream of random ascii characters
### Changed
- Now only depends on libcore! 2adf5363f88ffe06f6d2ea5c338d1b186d47f4a1
- Remove `Rng.choose()`, rename `Rng.choose_option()` to `.choose()`
- Rename OSRng to OsRng
- The WeightedChoice structure is no longer built with a `Vec<Weighted<T>>`,
but rather a `&mut [Weighted<T>]`. This means that the WeightedChoice
structure now has a lifetime associated with it.
- The `sample` method on `Rng` has been moved to a top-level function in the
`rand` module due to its dependence on `Vec`.
### Removed
- `Rng::gen_vec()` was removed. Previous behavior can be regained with
`rng.gen_iter().take(n).collect()`
- `Rng::gen_ascii_str()` was removed. Previous behavior can be regained with
`rng.gen_ascii_chars().take(n).collect()`
- {IsaacRng, Isaac64Rng, XorShiftRng}::new() have all been removed. These all
relied on being able to use an OSRng for seeding, but this is no longer
available in librand (where these types are defined). To retain the same
functionality, these types now implement the `Rand` trait so they can be
generated with a random seed from another random number generator. This allows
the stdlib to use an OSRng to create seeded instances of these RNGs.
- Rand implementations for `Box<T>` and `@T` were removed. These seemed to be
pretty rare in the codebase, and it allows for librand to not depend on
liballoc. Additionally, other pointer types like Rc<T> and Arc<T> were not
supported.
- Remove a slew of old deprecated functions
## [Rust 0.10] - 2014-04-03
### Changed
- replace `Rng.shuffle's` functionality with `.shuffle_mut`
- bubble up IO errors when creating an OSRng
### Fixed
- Use `fill()` instead of `read()`
- Rewrite OsRng in Rust for windows
## [0.10-pre] - 2014-03-02
### Added
- Seperate `rand` out of the standard library

45
third_party/rust/rand-0.4.6/Cargo.toml поставляемый
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@ -1,45 +0,0 @@
# THIS FILE IS AUTOMATICALLY GENERATED BY CARGO
#
# When uploading crates to the registry Cargo will automatically
# "normalize" Cargo.toml files for maximal compatibility
# with all versions of Cargo and also rewrite `path` dependencies
# to registry (e.g. crates.io) dependencies
#
# If you believe there's an error in this file please file an
# issue against the rust-lang/cargo repository. If you're
# editing this file be aware that the upstream Cargo.toml
# will likely look very different (and much more reasonable)
[package]
name = "rand"
version = "0.4.6"
authors = ["The Rust Project Developers"]
description = "Random number generators and other randomness functionality.\n"
homepage = "https://github.com/rust-lang-nursery/rand"
documentation = "https://docs.rs/rand"
readme = "README.md"
keywords = ["random", "rng"]
categories = ["algorithms"]
license = "MIT/Apache-2.0"
repository = "https://github.com/rust-lang-nursery/rand"
[features]
alloc = []
default = ["std"]
i128_support = []
nightly = ["i128_support"]
std = ["libc"]
[target."cfg(target_env = \"sgx\")".dependencies.rand_core]
version = "0.3"
default-features = false
[target."cfg(target_env = \"sgx\")".dependencies.rdrand]
version = "0.4.0"
[target."cfg(target_os = \"fuchsia\")".dependencies.fuchsia-cprng]
version = "0.1.0"
[target."cfg(unix)".dependencies.libc]
version = "0.2"
optional = true
[target."cfg(windows)".dependencies.winapi]
version = "0.3"
features = ["minwindef", "ntsecapi", "profileapi", "winnt"]

201
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@ -1,201 +0,0 @@
Apache License
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Copyright (c) 2014 The Rust Project Developers
Permission is hereby granted, free of charge, to any
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rand
====
A Rust library for random number generators and other randomness functionality.
[![Build Status](https://travis-ci.org/rust-lang-nursery/rand.svg?branch=master)](https://travis-ci.org/rust-lang-nursery/rand)
[![Build status](https://ci.appveyor.com/api/projects/status/rm5c9o33k3jhchbw?svg=true)](https://ci.appveyor.com/project/alexcrichton/rand)
[Documentation](https://docs.rs/rand)
## Usage
Add this to your `Cargo.toml`:
```toml
[dependencies]
rand = "0.4"
```
and this to your crate root:
```rust
extern crate rand;
```
### Versions
Version `0.4`was released in December 2017. It contains almost no breaking
changes since the `0.3` series, but nevertheless contains some significant
new code, including a new "external" entropy source (`JitterRng`) and `no_std`
support.
Version `0.5` is in development and contains significant performance
improvements for the ISAAC random number generators.
## Examples
There is built-in support for a random number generator (RNG) associated with each thread stored in thread-local storage. This RNG can be accessed via thread_rng, or used implicitly via random. This RNG is normally randomly seeded from an operating-system source of randomness, e.g. /dev/urandom on Unix systems, and will automatically reseed itself from this source after generating 32 KiB of random data.
```rust
let tuple = rand::random::<(f64, char)>();
println!("{:?}", tuple)
```
```rust
use rand::Rng;
let mut rng = rand::thread_rng();
if rng.gen() { // random bool
println!("i32: {}, u32: {}", rng.gen::<i32>(), rng.gen::<u32>())
}
```
It is also possible to use other RNG types, which have a similar interface. The following uses the "ChaCha" algorithm instead of the default.
```rust
use rand::{Rng, ChaChaRng};
let mut rng = rand::ChaChaRng::new_unseeded();
println!("i32: {}, u32: {}", rng.gen::<i32>(), rng.gen::<u32>())
```
## Features
By default, `rand` is built with all stable features available. The following
optional features are available:
- `i128_support` enables support for generating `u128` and `i128` values
- `nightly` enables all unstable features (`i128_support`)
- `std` enabled by default; by setting "default-features = false" `no_std`
mode is activated; this removes features depending on `std` functionality:
- `OsRng` is entirely unavailable
- `JitterRng` code is still present, but a nanosecond timer must be
provided via `JitterRng::new_with_timer`
- Since no external entropy is available, it is not possible to create
generators with fresh seeds (user must provide entropy)
- `thread_rng`, `weak_rng` and `random` are all disabled
- exponential, normal and gamma type distributions are unavailable
since `exp` and `log` functions are not provided in `core`
- any code requiring `Vec` or `Box`
- `alloc` can be used instead of `std` to provide `Vec` and `Box`
## Testing
Unfortunately, `cargo test` does not test everything. The following tests are
recommended:
```
# Basic tests for rand and sub-crates
cargo test --all
# Test no_std support (build only since nearly all tests require std)
cargo build --all --no-default-features
# Test 128-bit support (requires nightly)
cargo test --all --features nightly
# Benchmarks (requires nightly)
cargo bench
# or just to test the benchmark code:
cargo test --benches
```
# `derive(Rand)`
You can derive the `Rand` trait for your custom type via the `#[derive(Rand)]`
directive. To use this first add this to your Cargo.toml:
```toml
rand = "0.4"
rand_derive = "0.3"
```
Next in your crate:
```rust
extern crate rand;
#[macro_use]
extern crate rand_derive;
#[derive(Rand, Debug)]
struct MyStruct {
a: i32,
b: u32,
}
fn main() {
println!("{:?}", rand::random::<MyStruct>());
}
```
# License
`rand` is primarily distributed under the terms of both the MIT
license and the Apache License (Version 2.0).
See LICENSE-APACHE, and LICENSE-MIT for details.

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environment:
# At the time this was added AppVeyor was having troubles with checking
# revocation of SSL certificates of sites like static.rust-lang.org and what
# we think is crates.io. The libcurl HTTP client by default checks for
# revocation on Windows and according to a mailing list [1] this can be
# disabled.
#
# The `CARGO_HTTP_CHECK_REVOKE` env var here tells cargo to disable SSL
# revocation checking on Windows in libcurl. Note, though, that rustup, which
# we're using to download Rust here, also uses libcurl as the default backend.
# Unlike Cargo, however, rustup doesn't have a mechanism to disable revocation
# checking. To get rustup working we set `RUSTUP_USE_HYPER` which forces it to
# use the Hyper instead of libcurl backend. Both Hyper and libcurl use
# schannel on Windows but it appears that Hyper configures it slightly
# differently such that revocation checking isn't turned on by default.
#
# [1]: https://curl.haxx.se/mail/lib-2016-03/0202.html
RUSTUP_USE_HYPER: 1
CARGO_HTTP_CHECK_REVOKE: false
matrix:
- TARGET: x86_64-pc-windows-msvc
- TARGET: i686-pc-windows-msvc
install:
- appveyor DownloadFile https://win.rustup.rs/ -FileName rustup-init.exe
- rustup-init.exe -y --default-host %TARGET% --default-toolchain nightly
- set PATH=%PATH%;C:\Users\appveyor\.cargo\bin
- rustc -V
- cargo -V
build: false
test_script:
- cargo test --benches
- cargo test
- cargo test --features nightly
- cargo test --manifest-path rand-derive/Cargo.toml

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#![feature(test)]
extern crate test;
extern crate rand;
const RAND_BENCH_N: u64 = 1000;
mod distributions;
use std::mem::size_of;
use test::{black_box, Bencher};
use rand::{StdRng, Rng};
#[bench]
fn rand_f32(b: &mut Bencher) {
let mut rng = StdRng::new().unwrap();
b.iter(|| {
for _ in 0..RAND_BENCH_N {
black_box(rng.next_f32());
}
});
b.bytes = size_of::<f32>() as u64 * RAND_BENCH_N;
}
#[bench]
fn rand_f64(b: &mut Bencher) {
let mut rng = StdRng::new().unwrap();
b.iter(|| {
for _ in 0..RAND_BENCH_N {
black_box(rng.next_f64());
}
});
b.bytes = size_of::<f64>() as u64 * RAND_BENCH_N;
}

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use std::mem::size_of;
use test::Bencher;
use rand;
use rand::distributions::exponential::Exp;
use rand::distributions::Sample;
#[bench]
fn rand_exp(b: &mut Bencher) {
let mut rng = rand::weak_rng();
let mut exp = Exp::new(2.71828 * 3.14159);
b.iter(|| {
for _ in 0..::RAND_BENCH_N {
exp.sample(&mut rng);
}
});
b.bytes = size_of::<f64>() as u64 * ::RAND_BENCH_N;
}

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use std::mem::size_of;
use test::Bencher;
use rand;
use rand::distributions::IndependentSample;
use rand::distributions::gamma::Gamma;
#[bench]
fn bench_gamma_large_shape(b: &mut Bencher) {
let gamma = Gamma::new(10., 1.0);
let mut rng = rand::weak_rng();
b.iter(|| {
for _ in 0..::RAND_BENCH_N {
gamma.ind_sample(&mut rng);
}
});
b.bytes = size_of::<f64>() as u64 * ::RAND_BENCH_N;
}
#[bench]
fn bench_gamma_small_shape(b: &mut Bencher) {
let gamma = Gamma::new(0.1, 1.0);
let mut rng = rand::weak_rng();
b.iter(|| {
for _ in 0..::RAND_BENCH_N {
gamma.ind_sample(&mut rng);
}
});
b.bytes = size_of::<f64>() as u64 * ::RAND_BENCH_N;
}

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mod exponential;
mod normal;
mod gamma;

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use std::mem::size_of;
use test::Bencher;
use rand;
use rand::distributions::Sample;
use rand::distributions::normal::Normal;
#[bench]
fn rand_normal(b: &mut Bencher) {
let mut rng = rand::weak_rng();
let mut normal = Normal::new(-2.71828, 3.14159);
b.iter(|| {
for _ in 0..::RAND_BENCH_N {
normal.sample(&mut rng);
}
});
b.bytes = size_of::<f64>() as u64 * ::RAND_BENCH_N;
}

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#![feature(test)]
extern crate test;
extern crate rand;
const RAND_BENCH_N: u64 = 1000;
const BYTES_LEN: usize = 1024;
use std::mem::size_of;
use test::{black_box, Bencher};
use rand::{Rng, StdRng, OsRng, JitterRng};
use rand::{XorShiftRng, IsaacRng, Isaac64Rng, ChaChaRng};
macro_rules! gen_bytes {
($fnn:ident, $gen:ident) => {
#[bench]
fn $fnn(b: &mut Bencher) {
let mut rng: $gen = OsRng::new().unwrap().gen();
let mut buf = [0u8; BYTES_LEN];
b.iter(|| {
for _ in 0..RAND_BENCH_N {
rng.fill_bytes(&mut buf);
black_box(buf);
}
});
b.bytes = BYTES_LEN as u64 * RAND_BENCH_N;
}
}
}
macro_rules! gen_bytes_new {
($fnn:ident, $gen:ident) => {
#[bench]
fn $fnn(b: &mut Bencher) {
let mut rng = $gen::new().unwrap();
let mut buf = [0u8; BYTES_LEN];
b.iter(|| {
for _ in 0..RAND_BENCH_N {
rng.fill_bytes(&mut buf);
black_box(buf);
}
});
b.bytes = BYTES_LEN as u64 * RAND_BENCH_N;
}
}
}
gen_bytes!(gen_bytes_xorshift, XorShiftRng);
gen_bytes!(gen_bytes_isaac, IsaacRng);
gen_bytes!(gen_bytes_isaac64, Isaac64Rng);
gen_bytes!(gen_bytes_chacha, ChaChaRng);
gen_bytes_new!(gen_bytes_std, StdRng);
gen_bytes_new!(gen_bytes_os, OsRng);
macro_rules! gen_uint {
($fnn:ident, $ty:ty, $gen:ident) => {
#[bench]
fn $fnn(b: &mut Bencher) {
let mut rng: $gen = OsRng::new().unwrap().gen();
b.iter(|| {
for _ in 0..RAND_BENCH_N {
black_box(rng.gen::<$ty>());
}
});
b.bytes = size_of::<$ty>() as u64 * RAND_BENCH_N;
}
}
}
macro_rules! gen_uint_new {
($fnn:ident, $ty:ty, $gen:ident) => {
#[bench]
fn $fnn(b: &mut Bencher) {
let mut rng = $gen::new().unwrap();
b.iter(|| {
for _ in 0..RAND_BENCH_N {
black_box(rng.gen::<$ty>());
}
});
b.bytes = size_of::<$ty>() as u64 * RAND_BENCH_N;
}
}
}
gen_uint!(gen_u32_xorshift, u32, XorShiftRng);
gen_uint!(gen_u32_isaac, u32, IsaacRng);
gen_uint!(gen_u32_isaac64, u32, Isaac64Rng);
gen_uint!(gen_u32_chacha, u32, ChaChaRng);
gen_uint_new!(gen_u32_std, u32, StdRng);
gen_uint_new!(gen_u32_os, u32, OsRng);
gen_uint!(gen_u64_xorshift, u64, XorShiftRng);
gen_uint!(gen_u64_isaac, u64, IsaacRng);
gen_uint!(gen_u64_isaac64, u64, Isaac64Rng);
gen_uint!(gen_u64_chacha, u64, ChaChaRng);
gen_uint_new!(gen_u64_std, u64, StdRng);
gen_uint_new!(gen_u64_os, u64, OsRng);
#[bench]
fn gen_u64_jitter(b: &mut Bencher) {
let mut rng = JitterRng::new().unwrap();
b.iter(|| {
black_box(rng.gen::<u64>());
});
b.bytes = size_of::<u64>() as u64;
}
macro_rules! init_gen {
($fnn:ident, $gen:ident) => {
#[bench]
fn $fnn(b: &mut Bencher) {
let mut rng: XorShiftRng = OsRng::new().unwrap().gen();
b.iter(|| {
let r2: $gen = rng.gen();
black_box(r2);
});
}
}
}
init_gen!(init_xorshift, XorShiftRng);
init_gen!(init_isaac, IsaacRng);
init_gen!(init_isaac64, Isaac64Rng);
init_gen!(init_chacha, ChaChaRng);
#[bench]
fn init_jitter(b: &mut Bencher) {
b.iter(|| {
black_box(JitterRng::new().unwrap());
});
}

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#![feature(test)]
extern crate test;
extern crate rand;
use test::{black_box, Bencher};
use rand::{Rng, weak_rng};
use rand::seq::*;
#[bench]
fn misc_shuffle_100(b: &mut Bencher) {
let mut rng = weak_rng();
let x : &mut [usize] = &mut [1; 100];
b.iter(|| {
rng.shuffle(x);
black_box(&x);
})
}
#[bench]
fn misc_sample_iter_10_of_100(b: &mut Bencher) {
let mut rng = weak_rng();
let x : &[usize] = &[1; 100];
b.iter(|| {
black_box(sample_iter(&mut rng, x, 10).unwrap_or_else(|e| e));
})
}
#[bench]
fn misc_sample_slice_10_of_100(b: &mut Bencher) {
let mut rng = weak_rng();
let x : &[usize] = &[1; 100];
b.iter(|| {
black_box(sample_slice(&mut rng, x, 10));
})
}
#[bench]
fn misc_sample_slice_ref_10_of_100(b: &mut Bencher) {
let mut rng = weak_rng();
let x : &[usize] = &[1; 100];
b.iter(|| {
black_box(sample_slice_ref(&mut rng, x, 10));
})
}
macro_rules! sample_indices {
($name:ident, $amount:expr, $length:expr) => {
#[bench]
fn $name(b: &mut Bencher) {
let mut rng = weak_rng();
b.iter(|| {
black_box(sample_indices(&mut rng, $length, $amount));
})
}
}
}
sample_indices!(misc_sample_indices_10_of_1k, 10, 1000);
sample_indices!(misc_sample_indices_50_of_1k, 50, 1000);
sample_indices!(misc_sample_indices_100_of_1k, 100, 1000);

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// Copyright 2013 The Rust Project Developers. See the COPYRIGHT
// file at the top-level directory of this distribution and at
// http://rust-lang.org/COPYRIGHT.
//
// Licensed under the Apache License, Version 2.0 <LICENSE-APACHE or
// http://www.apache.org/licenses/LICENSE-2.0> or the MIT license
// <LICENSE-MIT or http://opensource.org/licenses/MIT>, at your
// option. This file may not be copied, modified, or distributed
// except according to those terms.
//! The exponential distribution.
use {Rng, Rand};
use distributions::{ziggurat, ziggurat_tables, Sample, IndependentSample};
/// A wrapper around an `f64` to generate Exp(1) random numbers.
///
/// See `Exp` for the general exponential distribution.
///
/// Implemented via the ZIGNOR variant[1] of the Ziggurat method. The
/// exact description in the paper was adjusted to use tables for the
/// exponential distribution rather than normal.
///
/// [1]: Jurgen A. Doornik (2005). [*An Improved Ziggurat Method to
/// Generate Normal Random
/// Samples*](http://www.doornik.com/research/ziggurat.pdf). Nuffield
/// College, Oxford
///
/// # Example
///
/// ```rust
/// use rand::distributions::exponential::Exp1;
///
/// let Exp1(x) = rand::random();
/// println!("{}", x);
/// ```
#[derive(Clone, Copy, Debug)]
pub struct Exp1(pub f64);
// This could be done via `-rng.gen::<f64>().ln()` but that is slower.
impl Rand for Exp1 {
#[inline]
fn rand<R:Rng>(rng: &mut R) -> Exp1 {
#[inline]
fn pdf(x: f64) -> f64 {
(-x).exp()
}
#[inline]
fn zero_case<R:Rng>(rng: &mut R, _u: f64) -> f64 {
ziggurat_tables::ZIG_EXP_R - rng.gen::<f64>().ln()
}
Exp1(ziggurat(rng, false,
&ziggurat_tables::ZIG_EXP_X,
&ziggurat_tables::ZIG_EXP_F,
pdf, zero_case))
}
}
/// The exponential distribution `Exp(lambda)`.
///
/// This distribution has density function: `f(x) = lambda *
/// exp(-lambda * x)` for `x > 0`.
///
/// # Example
///
/// ```rust
/// use rand::distributions::{Exp, IndependentSample};
///
/// let exp = Exp::new(2.0);
/// let v = exp.ind_sample(&mut rand::thread_rng());
/// println!("{} is from a Exp(2) distribution", v);
/// ```
#[derive(Clone, Copy, Debug)]
pub struct Exp {
/// `lambda` stored as `1/lambda`, since this is what we scale by.
lambda_inverse: f64
}
impl Exp {
/// Construct a new `Exp` with the given shape parameter
/// `lambda`. Panics if `lambda <= 0`.
#[inline]
pub fn new(lambda: f64) -> Exp {
assert!(lambda > 0.0, "Exp::new called with `lambda` <= 0");
Exp { lambda_inverse: 1.0 / lambda }
}
}
impl Sample<f64> for Exp {
fn sample<R: Rng>(&mut self, rng: &mut R) -> f64 { self.ind_sample(rng) }
}
impl IndependentSample<f64> for Exp {
fn ind_sample<R: Rng>(&self, rng: &mut R) -> f64 {
let Exp1(n) = rng.gen::<Exp1>();
n * self.lambda_inverse
}
}
#[cfg(test)]
mod test {
use distributions::{Sample, IndependentSample};
use super::Exp;
#[test]
fn test_exp() {
let mut exp = Exp::new(10.0);
let mut rng = ::test::rng();
for _ in 0..1000 {
assert!(exp.sample(&mut rng) >= 0.0);
assert!(exp.ind_sample(&mut rng) >= 0.0);
}
}
#[test]
#[should_panic]
fn test_exp_invalid_lambda_zero() {
Exp::new(0.0);
}
#[test]
#[should_panic]
fn test_exp_invalid_lambda_neg() {
Exp::new(-10.0);
}
}

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// Copyright 2013 The Rust Project Developers. See the COPYRIGHT
// file at the top-level directory of this distribution and at
// http://rust-lang.org/COPYRIGHT.
//
// Licensed under the Apache License, Version 2.0 <LICENSE-APACHE or
// http://www.apache.org/licenses/LICENSE-2.0> or the MIT license
// <LICENSE-MIT or http://opensource.org/licenses/MIT>, at your
// option. This file may not be copied, modified, or distributed
// except according to those terms.
//
// ignore-lexer-test FIXME #15679
//! The Gamma and derived distributions.
use self::GammaRepr::*;
use self::ChiSquaredRepr::*;
use {Rng, Open01};
use super::normal::StandardNormal;
use super::{IndependentSample, Sample, Exp};
/// The Gamma distribution `Gamma(shape, scale)` distribution.
///
/// The density function of this distribution is
///
/// ```text
/// f(x) = x^(k - 1) * exp(-x / θ) / (Γ(k) * θ^k)
/// ```
///
/// where `Γ` is the Gamma function, `k` is the shape and `θ` is the
/// scale and both `k` and `θ` are strictly positive.
///
/// The algorithm used is that described by Marsaglia & Tsang 2000[1],
/// falling back to directly sampling from an Exponential for `shape
/// == 1`, and using the boosting technique described in [1] for
/// `shape < 1`.
///
/// # Example
///
/// ```rust
/// use rand::distributions::{IndependentSample, Gamma};
///
/// let gamma = Gamma::new(2.0, 5.0);
/// let v = gamma.ind_sample(&mut rand::thread_rng());
/// println!("{} is from a Gamma(2, 5) distribution", v);
/// ```
///
/// [1]: George Marsaglia and Wai Wan Tsang. 2000. "A Simple Method
/// for Generating Gamma Variables" *ACM Trans. Math. Softw.* 26, 3
/// (September 2000),
/// 363-372. DOI:[10.1145/358407.358414](http://doi.acm.org/10.1145/358407.358414)
#[derive(Clone, Copy, Debug)]
pub struct Gamma {
repr: GammaRepr,
}
#[derive(Clone, Copy, Debug)]
enum GammaRepr {
Large(GammaLargeShape),
One(Exp),
Small(GammaSmallShape)
}
// These two helpers could be made public, but saving the
// match-on-Gamma-enum branch from using them directly (e.g. if one
// knows that the shape is always > 1) doesn't appear to be much
// faster.
/// Gamma distribution where the shape parameter is less than 1.
///
/// Note, samples from this require a compulsory floating-point `pow`
/// call, which makes it significantly slower than sampling from a
/// gamma distribution where the shape parameter is greater than or
/// equal to 1.
///
/// See `Gamma` for sampling from a Gamma distribution with general
/// shape parameters.
#[derive(Clone, Copy, Debug)]
struct GammaSmallShape {
inv_shape: f64,
large_shape: GammaLargeShape
}
/// Gamma distribution where the shape parameter is larger than 1.
///
/// See `Gamma` for sampling from a Gamma distribution with general
/// shape parameters.
#[derive(Clone, Copy, Debug)]
struct GammaLargeShape {
scale: f64,
c: f64,
d: f64
}
impl Gamma {
/// Construct an object representing the `Gamma(shape, scale)`
/// distribution.
///
/// Panics if `shape <= 0` or `scale <= 0`.
#[inline]
pub fn new(shape: f64, scale: f64) -> Gamma {
assert!(shape > 0.0, "Gamma::new called with shape <= 0");
assert!(scale > 0.0, "Gamma::new called with scale <= 0");
let repr = if shape == 1.0 {
One(Exp::new(1.0 / scale))
} else if shape < 1.0 {
Small(GammaSmallShape::new_raw(shape, scale))
} else {
Large(GammaLargeShape::new_raw(shape, scale))
};
Gamma { repr: repr }
}
}
impl GammaSmallShape {
fn new_raw(shape: f64, scale: f64) -> GammaSmallShape {
GammaSmallShape {
inv_shape: 1. / shape,
large_shape: GammaLargeShape::new_raw(shape + 1.0, scale)
}
}
}
impl GammaLargeShape {
fn new_raw(shape: f64, scale: f64) -> GammaLargeShape {
let d = shape - 1. / 3.;
GammaLargeShape {
scale: scale,
c: 1. / (9. * d).sqrt(),
d: d
}
}
}
impl Sample<f64> for Gamma {
fn sample<R: Rng>(&mut self, rng: &mut R) -> f64 { self.ind_sample(rng) }
}
impl Sample<f64> for GammaSmallShape {
fn sample<R: Rng>(&mut self, rng: &mut R) -> f64 { self.ind_sample(rng) }
}
impl Sample<f64> for GammaLargeShape {
fn sample<R: Rng>(&mut self, rng: &mut R) -> f64 { self.ind_sample(rng) }
}
impl IndependentSample<f64> for Gamma {
fn ind_sample<R: Rng>(&self, rng: &mut R) -> f64 {
match self.repr {
Small(ref g) => g.ind_sample(rng),
One(ref g) => g.ind_sample(rng),
Large(ref g) => g.ind_sample(rng),
}
}
}
impl IndependentSample<f64> for GammaSmallShape {
fn ind_sample<R: Rng>(&self, rng: &mut R) -> f64 {
let Open01(u) = rng.gen::<Open01<f64>>();
self.large_shape.ind_sample(rng) * u.powf(self.inv_shape)
}
}
impl IndependentSample<f64> for GammaLargeShape {
fn ind_sample<R: Rng>(&self, rng: &mut R) -> f64 {
loop {
let StandardNormal(x) = rng.gen::<StandardNormal>();
let v_cbrt = 1.0 + self.c * x;
if v_cbrt <= 0.0 { // a^3 <= 0 iff a <= 0
continue
}
let v = v_cbrt * v_cbrt * v_cbrt;
let Open01(u) = rng.gen::<Open01<f64>>();
let x_sqr = x * x;
if u < 1.0 - 0.0331 * x_sqr * x_sqr ||
u.ln() < 0.5 * x_sqr + self.d * (1.0 - v + v.ln()) {
return self.d * v * self.scale
}
}
}
}
/// The chi-squared distribution `χ²(k)`, where `k` is the degrees of
/// freedom.
///
/// For `k > 0` integral, this distribution is the sum of the squares
/// of `k` independent standard normal random variables. For other
/// `k`, this uses the equivalent characterisation
/// `χ²(k) = Gamma(k/2, 2)`.
///
/// # Example
///
/// ```rust
/// use rand::distributions::{ChiSquared, IndependentSample};
///
/// let chi = ChiSquared::new(11.0);
/// let v = chi.ind_sample(&mut rand::thread_rng());
/// println!("{} is from a χ²(11) distribution", v)
/// ```
#[derive(Clone, Copy, Debug)]
pub struct ChiSquared {
repr: ChiSquaredRepr,
}
#[derive(Clone, Copy, Debug)]
enum ChiSquaredRepr {
// k == 1, Gamma(alpha, ..) is particularly slow for alpha < 1,
// e.g. when alpha = 1/2 as it would be for this case, so special-
// casing and using the definition of N(0,1)^2 is faster.
DoFExactlyOne,
DoFAnythingElse(Gamma),
}
impl ChiSquared {
/// Create a new chi-squared distribution with degrees-of-freedom
/// `k`. Panics if `k < 0`.
pub fn new(k: f64) -> ChiSquared {
let repr = if k == 1.0 {
DoFExactlyOne
} else {
assert!(k > 0.0, "ChiSquared::new called with `k` < 0");
DoFAnythingElse(Gamma::new(0.5 * k, 2.0))
};
ChiSquared { repr: repr }
}
}
impl Sample<f64> for ChiSquared {
fn sample<R: Rng>(&mut self, rng: &mut R) -> f64 { self.ind_sample(rng) }
}
impl IndependentSample<f64> for ChiSquared {
fn ind_sample<R: Rng>(&self, rng: &mut R) -> f64 {
match self.repr {
DoFExactlyOne => {
// k == 1 => N(0,1)^2
let StandardNormal(norm) = rng.gen::<StandardNormal>();
norm * norm
}
DoFAnythingElse(ref g) => g.ind_sample(rng)
}
}
}
/// The Fisher F distribution `F(m, n)`.
///
/// This distribution is equivalent to the ratio of two normalised
/// chi-squared distributions, that is, `F(m,n) = (χ²(m)/m) /
/// (χ²(n)/n)`.
///
/// # Example
///
/// ```rust
/// use rand::distributions::{FisherF, IndependentSample};
///
/// let f = FisherF::new(2.0, 32.0);
/// let v = f.ind_sample(&mut rand::thread_rng());
/// println!("{} is from an F(2, 32) distribution", v)
/// ```
#[derive(Clone, Copy, Debug)]
pub struct FisherF {
numer: ChiSquared,
denom: ChiSquared,
// denom_dof / numer_dof so that this can just be a straight
// multiplication, rather than a division.
dof_ratio: f64,
}
impl FisherF {
/// Create a new `FisherF` distribution, with the given
/// parameter. Panics if either `m` or `n` are not positive.
pub fn new(m: f64, n: f64) -> FisherF {
assert!(m > 0.0, "FisherF::new called with `m < 0`");
assert!(n > 0.0, "FisherF::new called with `n < 0`");
FisherF {
numer: ChiSquared::new(m),
denom: ChiSquared::new(n),
dof_ratio: n / m
}
}
}
impl Sample<f64> for FisherF {
fn sample<R: Rng>(&mut self, rng: &mut R) -> f64 { self.ind_sample(rng) }
}
impl IndependentSample<f64> for FisherF {
fn ind_sample<R: Rng>(&self, rng: &mut R) -> f64 {
self.numer.ind_sample(rng) / self.denom.ind_sample(rng) * self.dof_ratio
}
}
/// The Student t distribution, `t(nu)`, where `nu` is the degrees of
/// freedom.
///
/// # Example
///
/// ```rust
/// use rand::distributions::{StudentT, IndependentSample};
///
/// let t = StudentT::new(11.0);
/// let v = t.ind_sample(&mut rand::thread_rng());
/// println!("{} is from a t(11) distribution", v)
/// ```
#[derive(Clone, Copy, Debug)]
pub struct StudentT {
chi: ChiSquared,
dof: f64
}
impl StudentT {
/// Create a new Student t distribution with `n` degrees of
/// freedom. Panics if `n <= 0`.
pub fn new(n: f64) -> StudentT {
assert!(n > 0.0, "StudentT::new called with `n <= 0`");
StudentT {
chi: ChiSquared::new(n),
dof: n
}
}
}
impl Sample<f64> for StudentT {
fn sample<R: Rng>(&mut self, rng: &mut R) -> f64 { self.ind_sample(rng) }
}
impl IndependentSample<f64> for StudentT {
fn ind_sample<R: Rng>(&self, rng: &mut R) -> f64 {
let StandardNormal(norm) = rng.gen::<StandardNormal>();
norm * (self.dof / self.chi.ind_sample(rng)).sqrt()
}
}
#[cfg(test)]
mod test {
use distributions::{Sample, IndependentSample};
use super::{ChiSquared, StudentT, FisherF};
#[test]
fn test_chi_squared_one() {
let mut chi = ChiSquared::new(1.0);
let mut rng = ::test::rng();
for _ in 0..1000 {
chi.sample(&mut rng);
chi.ind_sample(&mut rng);
}
}
#[test]
fn test_chi_squared_small() {
let mut chi = ChiSquared::new(0.5);
let mut rng = ::test::rng();
for _ in 0..1000 {
chi.sample(&mut rng);
chi.ind_sample(&mut rng);
}
}
#[test]
fn test_chi_squared_large() {
let mut chi = ChiSquared::new(30.0);
let mut rng = ::test::rng();
for _ in 0..1000 {
chi.sample(&mut rng);
chi.ind_sample(&mut rng);
}
}
#[test]
#[should_panic]
fn test_chi_squared_invalid_dof() {
ChiSquared::new(-1.0);
}
#[test]
fn test_f() {
let mut f = FisherF::new(2.0, 32.0);
let mut rng = ::test::rng();
for _ in 0..1000 {
f.sample(&mut rng);
f.ind_sample(&mut rng);
}
}
#[test]
fn test_t() {
let mut t = StudentT::new(11.0);
let mut rng = ::test::rng();
for _ in 0..1000 {
t.sample(&mut rng);
t.ind_sample(&mut rng);
}
}
}

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// Copyright 2013 The Rust Project Developers. See the COPYRIGHT
// file at the top-level directory of this distribution and at
// http://rust-lang.org/COPYRIGHT.
//
// Licensed under the Apache License, Version 2.0 <LICENSE-APACHE or
// http://www.apache.org/licenses/LICENSE-2.0> or the MIT license
// <LICENSE-MIT or http://opensource.org/licenses/MIT>, at your
// option. This file may not be copied, modified, or distributed
// except according to those terms.
//! Sampling from random distributions.
//!
//! This is a generalization of `Rand` to allow parameters to control the
//! exact properties of the generated values, e.g. the mean and standard
//! deviation of a normal distribution. The `Sample` trait is the most
//! general, and allows for generating values that change some state
//! internally. The `IndependentSample` trait is for generating values
//! that do not need to record state.
use core::marker;
use {Rng, Rand};
pub use self::range::Range;
#[cfg(feature="std")]
pub use self::gamma::{Gamma, ChiSquared, FisherF, StudentT};
#[cfg(feature="std")]
pub use self::normal::{Normal, LogNormal};
#[cfg(feature="std")]
pub use self::exponential::Exp;
pub mod range;
#[cfg(feature="std")]
pub mod gamma;
#[cfg(feature="std")]
pub mod normal;
#[cfg(feature="std")]
pub mod exponential;
#[cfg(feature="std")]
mod ziggurat_tables;
/// Types that can be used to create a random instance of `Support`.
pub trait Sample<Support> {
/// Generate a random value of `Support`, using `rng` as the
/// source of randomness.
fn sample<R: Rng>(&mut self, rng: &mut R) -> Support;
}
/// `Sample`s that do not require keeping track of state.
///
/// Since no state is recorded, each sample is (statistically)
/// independent of all others, assuming the `Rng` used has this
/// property.
// FIXME maybe having this separate is overkill (the only reason is to
// take &self rather than &mut self)? or maybe this should be the
// trait called `Sample` and the other should be `DependentSample`.
pub trait IndependentSample<Support>: Sample<Support> {
/// Generate a random value.
fn ind_sample<R: Rng>(&self, &mut R) -> Support;
}
/// A wrapper for generating types that implement `Rand` via the
/// `Sample` & `IndependentSample` traits.
#[derive(Debug)]
pub struct RandSample<Sup> {
_marker: marker::PhantomData<fn() -> Sup>,
}
impl<Sup> Copy for RandSample<Sup> {}
impl<Sup> Clone for RandSample<Sup> {
fn clone(&self) -> Self { *self }
}
impl<Sup: Rand> Sample<Sup> for RandSample<Sup> {
fn sample<R: Rng>(&mut self, rng: &mut R) -> Sup { self.ind_sample(rng) }
}
impl<Sup: Rand> IndependentSample<Sup> for RandSample<Sup> {
fn ind_sample<R: Rng>(&self, rng: &mut R) -> Sup {
rng.gen()
}
}
impl<Sup> RandSample<Sup> {
pub fn new() -> RandSample<Sup> {
RandSample { _marker: marker::PhantomData }
}
}
/// A value with a particular weight for use with `WeightedChoice`.
#[derive(Copy, Clone, Debug)]
pub struct Weighted<T> {
/// The numerical weight of this item
pub weight: u32,
/// The actual item which is being weighted
pub item: T,
}
/// A distribution that selects from a finite collection of weighted items.
///
/// Each item has an associated weight that influences how likely it
/// is to be chosen: higher weight is more likely.
///
/// The `Clone` restriction is a limitation of the `Sample` and
/// `IndependentSample` traits. Note that `&T` is (cheaply) `Clone` for
/// all `T`, as is `u32`, so one can store references or indices into
/// another vector.
///
/// # Example
///
/// ```rust
/// use rand::distributions::{Weighted, WeightedChoice, IndependentSample};
///
/// let mut items = vec!(Weighted { weight: 2, item: 'a' },
/// Weighted { weight: 4, item: 'b' },
/// Weighted { weight: 1, item: 'c' });
/// let wc = WeightedChoice::new(&mut items);
/// let mut rng = rand::thread_rng();
/// for _ in 0..16 {
/// // on average prints 'a' 4 times, 'b' 8 and 'c' twice.
/// println!("{}", wc.ind_sample(&mut rng));
/// }
/// ```
#[derive(Debug)]
pub struct WeightedChoice<'a, T:'a> {
items: &'a mut [Weighted<T>],
weight_range: Range<u32>
}
impl<'a, T: Clone> WeightedChoice<'a, T> {
/// Create a new `WeightedChoice`.
///
/// Panics if:
///
/// - `items` is empty
/// - the total weight is 0
/// - the total weight is larger than a `u32` can contain.
pub fn new(items: &'a mut [Weighted<T>]) -> WeightedChoice<'a, T> {
// strictly speaking, this is subsumed by the total weight == 0 case
assert!(!items.is_empty(), "WeightedChoice::new called with no items");
let mut running_total: u32 = 0;
// we convert the list from individual weights to cumulative
// weights so we can binary search. This *could* drop elements
// with weight == 0 as an optimisation.
for item in items.iter_mut() {
running_total = match running_total.checked_add(item.weight) {
Some(n) => n,
None => panic!("WeightedChoice::new called with a total weight \
larger than a u32 can contain")
};
item.weight = running_total;
}
assert!(running_total != 0, "WeightedChoice::new called with a total weight of 0");
WeightedChoice {
items: items,
// we're likely to be generating numbers in this range
// relatively often, so might as well cache it
weight_range: Range::new(0, running_total)
}
}
}
impl<'a, T: Clone> Sample<T> for WeightedChoice<'a, T> {
fn sample<R: Rng>(&mut self, rng: &mut R) -> T { self.ind_sample(rng) }
}
impl<'a, T: Clone> IndependentSample<T> for WeightedChoice<'a, T> {
fn ind_sample<R: Rng>(&self, rng: &mut R) -> T {
// we want to find the first element that has cumulative
// weight > sample_weight, which we do by binary since the
// cumulative weights of self.items are sorted.
// choose a weight in [0, total_weight)
let sample_weight = self.weight_range.ind_sample(rng);
// short circuit when it's the first item
if sample_weight < self.items[0].weight {
return self.items[0].item.clone();
}
let mut idx = 0;
let mut modifier = self.items.len();
// now we know that every possibility has an element to the
// left, so we can just search for the last element that has
// cumulative weight <= sample_weight, then the next one will
// be "it". (Note that this greatest element will never be the
// last element of the vector, since sample_weight is chosen
// in [0, total_weight) and the cumulative weight of the last
// one is exactly the total weight.)
while modifier > 1 {
let i = idx + modifier / 2;
if self.items[i].weight <= sample_weight {
// we're small, so look to the right, but allow this
// exact element still.
idx = i;
// we need the `/ 2` to round up otherwise we'll drop
// the trailing elements when `modifier` is odd.
modifier += 1;
} else {
// otherwise we're too big, so go left. (i.e. do
// nothing)
}
modifier /= 2;
}
return self.items[idx + 1].item.clone();
}
}
/// Sample a random number using the Ziggurat method (specifically the
/// ZIGNOR variant from Doornik 2005). Most of the arguments are
/// directly from the paper:
///
/// * `rng`: source of randomness
/// * `symmetric`: whether this is a symmetric distribution, or one-sided with P(x < 0) = 0.
/// * `X`: the $x_i$ abscissae.
/// * `F`: precomputed values of the PDF at the $x_i$, (i.e. $f(x_i)$)
/// * `F_DIFF`: precomputed values of $f(x_i) - f(x_{i+1})$
/// * `pdf`: the probability density function
/// * `zero_case`: manual sampling from the tail when we chose the
/// bottom box (i.e. i == 0)
// the perf improvement (25-50%) is definitely worth the extra code
// size from force-inlining.
#[cfg(feature="std")]
#[inline(always)]
fn ziggurat<R: Rng, P, Z>(
rng: &mut R,
symmetric: bool,
x_tab: ziggurat_tables::ZigTable,
f_tab: ziggurat_tables::ZigTable,
mut pdf: P,
mut zero_case: Z)
-> f64 where P: FnMut(f64) -> f64, Z: FnMut(&mut R, f64) -> f64 {
const SCALE: f64 = (1u64 << 53) as f64;
loop {
// reimplement the f64 generation as an optimisation suggested
// by the Doornik paper: we have a lot of precision-space
// (i.e. there are 11 bits of the 64 of a u64 to use after
// creating a f64), so we might as well reuse some to save
// generating a whole extra random number. (Seems to be 15%
// faster.)
//
// This unfortunately misses out on the benefits of direct
// floating point generation if an RNG like dSMFT is
// used. (That is, such RNGs create floats directly, highly
// efficiently and overload next_f32/f64, so by not calling it
// this may be slower than it would be otherwise.)
// FIXME: investigate/optimise for the above.
let bits: u64 = rng.gen();
let i = (bits & 0xff) as usize;
let f = (bits >> 11) as f64 / SCALE;
// u is either U(-1, 1) or U(0, 1) depending on if this is a
// symmetric distribution or not.
let u = if symmetric {2.0 * f - 1.0} else {f};
let x = u * x_tab[i];
let test_x = if symmetric { x.abs() } else {x};
// algebraically equivalent to |u| < x_tab[i+1]/x_tab[i] (or u < x_tab[i+1]/x_tab[i])
if test_x < x_tab[i + 1] {
return x;
}
if i == 0 {
return zero_case(rng, u);
}
// algebraically equivalent to f1 + DRanU()*(f0 - f1) < 1
if f_tab[i + 1] + (f_tab[i] - f_tab[i + 1]) * rng.gen::<f64>() < pdf(x) {
return x;
}
}
}
#[cfg(test)]
mod tests {
use {Rng, Rand};
use super::{RandSample, WeightedChoice, Weighted, Sample, IndependentSample};
#[derive(PartialEq, Debug)]
struct ConstRand(usize);
impl Rand for ConstRand {
fn rand<R: Rng>(_: &mut R) -> ConstRand {
ConstRand(0)
}
}
// 0, 1, 2, 3, ...
struct CountingRng { i: u32 }
impl Rng for CountingRng {
fn next_u32(&mut self) -> u32 {
self.i += 1;
self.i - 1
}
fn next_u64(&mut self) -> u64 {
self.next_u32() as u64
}
}
#[test]
fn test_rand_sample() {
let mut rand_sample = RandSample::<ConstRand>::new();
assert_eq!(rand_sample.sample(&mut ::test::rng()), ConstRand(0));
assert_eq!(rand_sample.ind_sample(&mut ::test::rng()), ConstRand(0));
}
#[test]
fn test_weighted_choice() {
// this makes assumptions about the internal implementation of
// WeightedChoice, specifically: it doesn't reorder the items,
// it doesn't do weird things to the RNG (so 0 maps to 0, 1 to
// 1, internally; modulo a modulo operation).
macro_rules! t {
($items:expr, $expected:expr) => {{
let mut items = $items;
let wc = WeightedChoice::new(&mut items);
let expected = $expected;
let mut rng = CountingRng { i: 0 };
for &val in expected.iter() {
assert_eq!(wc.ind_sample(&mut rng), val)
}
}}
}
t!(vec!(Weighted { weight: 1, item: 10}), [10]);
// skip some
t!(vec!(Weighted { weight: 0, item: 20},
Weighted { weight: 2, item: 21},
Weighted { weight: 0, item: 22},
Weighted { weight: 1, item: 23}),
[21,21, 23]);
// different weights
t!(vec!(Weighted { weight: 4, item: 30},
Weighted { weight: 3, item: 31}),
[30,30,30,30, 31,31,31]);
// check that we're binary searching
// correctly with some vectors of odd
// length.
t!(vec!(Weighted { weight: 1, item: 40},
Weighted { weight: 1, item: 41},
Weighted { weight: 1, item: 42},
Weighted { weight: 1, item: 43},
Weighted { weight: 1, item: 44}),
[40, 41, 42, 43, 44]);
t!(vec!(Weighted { weight: 1, item: 50},
Weighted { weight: 1, item: 51},
Weighted { weight: 1, item: 52},
Weighted { weight: 1, item: 53},
Weighted { weight: 1, item: 54},
Weighted { weight: 1, item: 55},
Weighted { weight: 1, item: 56}),
[50, 51, 52, 53, 54, 55, 56]);
}
#[test]
fn test_weighted_clone_initialization() {
let initial : Weighted<u32> = Weighted {weight: 1, item: 1};
let clone = initial.clone();
assert_eq!(initial.weight, clone.weight);
assert_eq!(initial.item, clone.item);
}
#[test] #[should_panic]
fn test_weighted_clone_change_weight() {
let initial : Weighted<u32> = Weighted {weight: 1, item: 1};
let mut clone = initial.clone();
clone.weight = 5;
assert_eq!(initial.weight, clone.weight);
}
#[test] #[should_panic]
fn test_weighted_clone_change_item() {
let initial : Weighted<u32> = Weighted {weight: 1, item: 1};
let mut clone = initial.clone();
clone.item = 5;
assert_eq!(initial.item, clone.item);
}
#[test] #[should_panic]
fn test_weighted_choice_no_items() {
WeightedChoice::<isize>::new(&mut []);
}
#[test] #[should_panic]
fn test_weighted_choice_zero_weight() {
WeightedChoice::new(&mut [Weighted { weight: 0, item: 0},
Weighted { weight: 0, item: 1}]);
}
#[test] #[should_panic]
fn test_weighted_choice_weight_overflows() {
let x = ::std::u32::MAX / 2; // x + x + 2 is the overflow
WeightedChoice::new(&mut [Weighted { weight: x, item: 0 },
Weighted { weight: 1, item: 1 },
Weighted { weight: x, item: 2 },
Weighted { weight: 1, item: 3 }]);
}
}

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// Copyright 2013 The Rust Project Developers. See the COPYRIGHT
// file at the top-level directory of this distribution and at
// http://rust-lang.org/COPYRIGHT.
//
// Licensed under the Apache License, Version 2.0 <LICENSE-APACHE or
// http://www.apache.org/licenses/LICENSE-2.0> or the MIT license
// <LICENSE-MIT or http://opensource.org/licenses/MIT>, at your
// option. This file may not be copied, modified, or distributed
// except according to those terms.
//! The normal and derived distributions.
use {Rng, Rand, Open01};
use distributions::{ziggurat, ziggurat_tables, Sample, IndependentSample};
/// A wrapper around an `f64` to generate N(0, 1) random numbers
/// (a.k.a. a standard normal, or Gaussian).
///
/// See `Normal` for the general normal distribution.
///
/// Implemented via the ZIGNOR variant[1] of the Ziggurat method.
///
/// [1]: Jurgen A. Doornik (2005). [*An Improved Ziggurat Method to
/// Generate Normal Random
/// Samples*](http://www.doornik.com/research/ziggurat.pdf). Nuffield
/// College, Oxford
///
/// # Example
///
/// ```rust
/// use rand::distributions::normal::StandardNormal;
///
/// let StandardNormal(x) = rand::random();
/// println!("{}", x);
/// ```
#[derive(Clone, Copy, Debug)]
pub struct StandardNormal(pub f64);
impl Rand for StandardNormal {
fn rand<R:Rng>(rng: &mut R) -> StandardNormal {
#[inline]
fn pdf(x: f64) -> f64 {
(-x*x/2.0).exp()
}
#[inline]
fn zero_case<R:Rng>(rng: &mut R, u: f64) -> f64 {
// compute a random number in the tail by hand
// strange initial conditions, because the loop is not
// do-while, so the condition should be true on the first
// run, they get overwritten anyway (0 < 1, so these are
// good).
let mut x = 1.0f64;
let mut y = 0.0f64;
while -2.0 * y < x * x {
let Open01(x_) = rng.gen::<Open01<f64>>();
let Open01(y_) = rng.gen::<Open01<f64>>();
x = x_.ln() / ziggurat_tables::ZIG_NORM_R;
y = y_.ln();
}
if u < 0.0 { x - ziggurat_tables::ZIG_NORM_R } else { ziggurat_tables::ZIG_NORM_R - x }
}
StandardNormal(ziggurat(
rng,
true, // this is symmetric
&ziggurat_tables::ZIG_NORM_X,
&ziggurat_tables::ZIG_NORM_F,
pdf, zero_case))
}
}
/// The normal distribution `N(mean, std_dev**2)`.
///
/// This uses the ZIGNOR variant of the Ziggurat method, see
/// `StandardNormal` for more details.
///
/// # Example
///
/// ```rust
/// use rand::distributions::{Normal, IndependentSample};
///
/// // mean 2, standard deviation 3
/// let normal = Normal::new(2.0, 3.0);
/// let v = normal.ind_sample(&mut rand::thread_rng());
/// println!("{} is from a N(2, 9) distribution", v)
/// ```
#[derive(Clone, Copy, Debug)]
pub struct Normal {
mean: f64,
std_dev: f64,
}
impl Normal {
/// Construct a new `Normal` distribution with the given mean and
/// standard deviation.
///
/// # Panics
///
/// Panics if `std_dev < 0`.
#[inline]
pub fn new(mean: f64, std_dev: f64) -> Normal {
assert!(std_dev >= 0.0, "Normal::new called with `std_dev` < 0");
Normal {
mean: mean,
std_dev: std_dev
}
}
}
impl Sample<f64> for Normal {
fn sample<R: Rng>(&mut self, rng: &mut R) -> f64 { self.ind_sample(rng) }
}
impl IndependentSample<f64> for Normal {
fn ind_sample<R: Rng>(&self, rng: &mut R) -> f64 {
let StandardNormal(n) = rng.gen::<StandardNormal>();
self.mean + self.std_dev * n
}
}
/// The log-normal distribution `ln N(mean, std_dev**2)`.
///
/// If `X` is log-normal distributed, then `ln(X)` is `N(mean,
/// std_dev**2)` distributed.
///
/// # Example
///
/// ```rust
/// use rand::distributions::{LogNormal, IndependentSample};
///
/// // mean 2, standard deviation 3
/// let log_normal = LogNormal::new(2.0, 3.0);
/// let v = log_normal.ind_sample(&mut rand::thread_rng());
/// println!("{} is from an ln N(2, 9) distribution", v)
/// ```
#[derive(Clone, Copy, Debug)]
pub struct LogNormal {
norm: Normal
}
impl LogNormal {
/// Construct a new `LogNormal` distribution with the given mean
/// and standard deviation.
///
/// # Panics
///
/// Panics if `std_dev < 0`.
#[inline]
pub fn new(mean: f64, std_dev: f64) -> LogNormal {
assert!(std_dev >= 0.0, "LogNormal::new called with `std_dev` < 0");
LogNormal { norm: Normal::new(mean, std_dev) }
}
}
impl Sample<f64> for LogNormal {
fn sample<R: Rng>(&mut self, rng: &mut R) -> f64 { self.ind_sample(rng) }
}
impl IndependentSample<f64> for LogNormal {
fn ind_sample<R: Rng>(&self, rng: &mut R) -> f64 {
self.norm.ind_sample(rng).exp()
}
}
#[cfg(test)]
mod tests {
use distributions::{Sample, IndependentSample};
use super::{Normal, LogNormal};
#[test]
fn test_normal() {
let mut norm = Normal::new(10.0, 10.0);
let mut rng = ::test::rng();
for _ in 0..1000 {
norm.sample(&mut rng);
norm.ind_sample(&mut rng);
}
}
#[test]
#[should_panic]
fn test_normal_invalid_sd() {
Normal::new(10.0, -1.0);
}
#[test]
fn test_log_normal() {
let mut lnorm = LogNormal::new(10.0, 10.0);
let mut rng = ::test::rng();
for _ in 0..1000 {
lnorm.sample(&mut rng);
lnorm.ind_sample(&mut rng);
}
}
#[test]
#[should_panic]
fn test_log_normal_invalid_sd() {
LogNormal::new(10.0, -1.0);
}
}

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// Copyright 2013 The Rust Project Developers. See the COPYRIGHT
// file at the top-level directory of this distribution and at
// http://rust-lang.org/COPYRIGHT.
//
// Licensed under the Apache License, Version 2.0 <LICENSE-APACHE or
// http://www.apache.org/licenses/LICENSE-2.0> or the MIT license
// <LICENSE-MIT or http://opensource.org/licenses/MIT>, at your
// option. This file may not be copied, modified, or distributed
// except according to those terms.
//! Generating numbers between two others.
// this is surprisingly complicated to be both generic & correct
use core::num::Wrapping as w;
use Rng;
use distributions::{Sample, IndependentSample};
/// Sample values uniformly between two bounds.
///
/// This gives a uniform distribution (assuming the RNG used to sample
/// it is itself uniform & the `SampleRange` implementation for the
/// given type is correct), even for edge cases like `low = 0u8`,
/// `high = 170u8`, for which a naive modulo operation would return
/// numbers less than 85 with double the probability to those greater
/// than 85.
///
/// Types should attempt to sample in `[low, high)`, i.e., not
/// including `high`, but this may be very difficult. All the
/// primitive integer types satisfy this property, and the float types
/// normally satisfy it, but rounding may mean `high` can occur.
///
/// # Example
///
/// ```rust
/// use rand::distributions::{IndependentSample, Range};
///
/// fn main() {
/// let between = Range::new(10, 10000);
/// let mut rng = rand::thread_rng();
/// let mut sum = 0;
/// for _ in 0..1000 {
/// sum += between.ind_sample(&mut rng);
/// }
/// println!("{}", sum);
/// }
/// ```
#[derive(Clone, Copy, Debug)]
pub struct Range<X> {
low: X,
range: X,
accept_zone: X
}
impl<X: SampleRange + PartialOrd> Range<X> {
/// Create a new `Range` instance that samples uniformly from
/// `[low, high)`. Panics if `low >= high`.
pub fn new(low: X, high: X) -> Range<X> {
assert!(low < high, "Range::new called with `low >= high`");
SampleRange::construct_range(low, high)
}
}
impl<Sup: SampleRange> Sample<Sup> for Range<Sup> {
#[inline]
fn sample<R: Rng>(&mut self, rng: &mut R) -> Sup { self.ind_sample(rng) }
}
impl<Sup: SampleRange> IndependentSample<Sup> for Range<Sup> {
fn ind_sample<R: Rng>(&self, rng: &mut R) -> Sup {
SampleRange::sample_range(self, rng)
}
}
/// The helper trait for types that have a sensible way to sample
/// uniformly between two values. This should not be used directly,
/// and is only to facilitate `Range`.
pub trait SampleRange : Sized {
/// Construct the `Range` object that `sample_range`
/// requires. This should not ever be called directly, only via
/// `Range::new`, which will check that `low < high`, so this
/// function doesn't have to repeat the check.
fn construct_range(low: Self, high: Self) -> Range<Self>;
/// Sample a value from the given `Range` with the given `Rng` as
/// a source of randomness.
fn sample_range<R: Rng>(r: &Range<Self>, rng: &mut R) -> Self;
}
macro_rules! integer_impl {
($ty:ty, $unsigned:ident) => {
impl SampleRange for $ty {
// we play free and fast with unsigned vs signed here
// (when $ty is signed), but that's fine, since the
// contract of this macro is for $ty and $unsigned to be
// "bit-equal", so casting between them is a no-op & a
// bijection.
#[inline]
fn construct_range(low: $ty, high: $ty) -> Range<$ty> {
let range = (w(high as $unsigned) - w(low as $unsigned)).0;
let unsigned_max: $unsigned = ::core::$unsigned::MAX;
// this is the largest number that fits into $unsigned
// that `range` divides evenly, so, if we've sampled
// `n` uniformly from this region, then `n % range` is
// uniform in [0, range)
let zone = unsigned_max - unsigned_max % range;
Range {
low: low,
range: range as $ty,
accept_zone: zone as $ty
}
}
#[inline]
fn sample_range<R: Rng>(r: &Range<$ty>, rng: &mut R) -> $ty {
loop {
// rejection sample
let v = rng.gen::<$unsigned>();
// until we find something that fits into the
// region which r.range evenly divides (this will
// be uniformly distributed)
if v < r.accept_zone as $unsigned {
// and return it, with some adjustments
return (w(r.low) + w((v % r.range as $unsigned) as $ty)).0;
}
}
}
}
}
}
integer_impl! { i8, u8 }
integer_impl! { i16, u16 }
integer_impl! { i32, u32 }
integer_impl! { i64, u64 }
#[cfg(feature = "i128_support")]
integer_impl! { i128, u128 }
integer_impl! { isize, usize }
integer_impl! { u8, u8 }
integer_impl! { u16, u16 }
integer_impl! { u32, u32 }
integer_impl! { u64, u64 }
#[cfg(feature = "i128_support")]
integer_impl! { u128, u128 }
integer_impl! { usize, usize }
macro_rules! float_impl {
($ty:ty) => {
impl SampleRange for $ty {
fn construct_range(low: $ty, high: $ty) -> Range<$ty> {
Range {
low: low,
range: high - low,
accept_zone: 0.0 // unused
}
}
fn sample_range<R: Rng>(r: &Range<$ty>, rng: &mut R) -> $ty {
r.low + r.range * rng.gen::<$ty>()
}
}
}
}
float_impl! { f32 }
float_impl! { f64 }
#[cfg(test)]
mod tests {
use distributions::{Sample, IndependentSample};
use super::Range as Range;
#[should_panic]
#[test]
fn test_range_bad_limits_equal() {
Range::new(10, 10);
}
#[should_panic]
#[test]
fn test_range_bad_limits_flipped() {
Range::new(10, 5);
}
#[test]
fn test_integers() {
let mut rng = ::test::rng();
macro_rules! t {
($($ty:ident),*) => {{
$(
let v: &[($ty, $ty)] = &[(0, 10),
(10, 127),
(::core::$ty::MIN, ::core::$ty::MAX)];
for &(low, high) in v.iter() {
let mut sampler: Range<$ty> = Range::new(low, high);
for _ in 0..1000 {
let v = sampler.sample(&mut rng);
assert!(low <= v && v < high);
let v = sampler.ind_sample(&mut rng);
assert!(low <= v && v < high);
}
}
)*
}}
}
#[cfg(not(feature = "i128_support"))]
t!(i8, i16, i32, i64, isize,
u8, u16, u32, u64, usize);
#[cfg(feature = "i128_support")]
t!(i8, i16, i32, i64, i128, isize,
u8, u16, u32, u64, u128, usize);
}
#[test]
fn test_floats() {
let mut rng = ::test::rng();
macro_rules! t {
($($ty:ty),*) => {{
$(
let v: &[($ty, $ty)] = &[(0.0, 100.0),
(-1e35, -1e25),
(1e-35, 1e-25),
(-1e35, 1e35)];
for &(low, high) in v.iter() {
let mut sampler: Range<$ty> = Range::new(low, high);
for _ in 0..1000 {
let v = sampler.sample(&mut rng);
assert!(low <= v && v < high);
let v = sampler.ind_sample(&mut rng);
assert!(low <= v && v < high);
}
}
)*
}}
}
t!(f32, f64)
}
}

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@ -1,280 +0,0 @@
// Copyright 2013 The Rust Project Developers. See the COPYRIGHT
// file at the top-level directory of this distribution and at
// http://rust-lang.org/COPYRIGHT.
//
// Licensed under the Apache License, Version 2.0 <LICENSE-APACHE or
// http://www.apache.org/licenses/LICENSE-2.0> or the MIT license
// <LICENSE-MIT or http://opensource.org/licenses/MIT>, at your
// option. This file may not be copied, modified, or distributed
// except according to those terms.
// Tables for distributions which are sampled using the ziggurat
// algorithm. Autogenerated by `ziggurat_tables.py`.
pub type ZigTable = &'static [f64; 257];
pub const ZIG_NORM_R: f64 = 3.654152885361008796;
pub static ZIG_NORM_X: [f64; 257] =
[3.910757959537090045, 3.654152885361008796, 3.449278298560964462, 3.320244733839166074,
3.224575052047029100, 3.147889289517149969, 3.083526132001233044, 3.027837791768635434,
2.978603279880844834, 2.934366867207854224, 2.894121053612348060, 2.857138730872132548,
2.822877396825325125, 2.790921174000785765, 2.760944005278822555, 2.732685359042827056,
2.705933656121858100, 2.680514643284522158, 2.656283037575502437, 2.633116393630324570,
2.610910518487548515, 2.589575986706995181, 2.569035452680536569, 2.549221550323460761,
2.530075232158516929, 2.511544441625342294, 2.493583041269680667, 2.476149939669143318,
2.459208374333311298, 2.442725318198956774, 2.426670984935725972, 2.411018413899685520,
2.395743119780480601, 2.380822795170626005, 2.366237056715818632, 2.351967227377659952,
2.337996148795031370, 2.324308018869623016, 2.310888250599850036, 2.297723348901329565,
2.284800802722946056, 2.272108990226823888, 2.259637095172217780, 2.247375032945807760,
2.235313384928327984, 2.223443340090905718, 2.211756642882544366, 2.200245546609647995,
2.188902771624720689, 2.177721467738641614, 2.166695180352645966, 2.155817819875063268,
2.145083634046203613, 2.134487182844320152, 2.124023315687815661, 2.113687150684933957,
2.103474055713146829, 2.093379631137050279, 2.083399693996551783, 2.073530263516978778,
2.063767547809956415, 2.054107931648864849, 2.044547965215732788, 2.035084353727808715,
2.025713947862032960, 2.016433734904371722, 2.007240830558684852, 1.998132471356564244,
1.989106007615571325, 1.980158896898598364, 1.971288697931769640, 1.962493064942461896,
1.953769742382734043, 1.945116560006753925, 1.936531428273758904, 1.928012334050718257,
1.919557336591228847, 1.911164563769282232, 1.902832208548446369, 1.894558525668710081,
1.886341828534776388, 1.878180486290977669, 1.870072921069236838, 1.862017605397632281,
1.854013059758148119, 1.846057850283119750, 1.838150586580728607, 1.830289919680666566,
1.822474540091783224, 1.814703175964167636, 1.806974591348693426, 1.799287584547580199,
1.791640986550010028, 1.784033659547276329, 1.776464495522344977, 1.768932414909077933,
1.761436365316706665, 1.753975320315455111, 1.746548278279492994, 1.739154261283669012,
1.731792314050707216, 1.724461502945775715, 1.717160915015540690, 1.709889657069006086,
1.702646854797613907, 1.695431651932238548, 1.688243209434858727, 1.681080704722823338,
1.673943330923760353, 1.666830296159286684, 1.659740822855789499, 1.652674147080648526,
1.645629517902360339, 1.638606196773111146, 1.631603456932422036, 1.624620582830568427,
1.617656869570534228, 1.610711622367333673, 1.603784156023583041, 1.596873794420261339,
1.589979870021648534, 1.583101723393471438, 1.576238702733332886, 1.569390163412534456,
1.562555467528439657, 1.555733983466554893, 1.548925085471535512, 1.542128153226347553,
1.535342571438843118, 1.528567729435024614, 1.521803020758293101, 1.515047842773992404,
1.508301596278571965, 1.501563685112706548, 1.494833515777718391, 1.488110497054654369,
1.481394039625375747, 1.474683555695025516, 1.467978458615230908, 1.461278162507407830,
1.454582081885523293, 1.447889631277669675, 1.441200224845798017, 1.434513276002946425,
1.427828197027290358, 1.421144398672323117, 1.414461289772464658, 1.407778276843371534,
1.401094763676202559, 1.394410150925071257, 1.387723835686884621, 1.381035211072741964,
1.374343665770030531, 1.367648583594317957, 1.360949343030101844, 1.354245316759430606,
1.347535871177359290, 1.340820365893152122, 1.334098153216083604, 1.327368577624624679,
1.320630975217730096, 1.313884673146868964, 1.307128989027353860, 1.300363230327433728,
1.293586693733517645, 1.286798664489786415, 1.279998415710333237, 1.273185207661843732,
1.266358287014688333, 1.259516886060144225, 1.252660221891297887, 1.245787495544997903,
1.238897891102027415, 1.231990574742445110, 1.225064693752808020, 1.218119375481726552,
1.211153726239911244, 1.204166830140560140, 1.197157747875585931, 1.190125515422801650,
1.183069142678760732, 1.175987612011489825, 1.168879876726833800, 1.161744859441574240,
1.154581450355851802, 1.147388505416733873, 1.140164844363995789, 1.132909248648336975,
1.125620459211294389, 1.118297174115062909, 1.110938046009249502, 1.103541679420268151,
1.096106627847603487, 1.088631390649514197, 1.081114409698889389, 1.073554065787871714,
1.065948674757506653, 1.058296483326006454, 1.050595664586207123, 1.042844313139370538,
1.035040439828605274, 1.027181966030751292, 1.019266717460529215, 1.011292417434978441,
1.003256679539591412, 0.995156999629943084, 0.986990747093846266, 0.978755155288937750,
0.970447311058864615, 0.962064143217605250, 0.953602409875572654, 0.945058684462571130,
0.936429340280896860, 0.927710533396234771, 0.918898183643734989, 0.909987953490768997,
0.900975224455174528, 0.891855070726792376, 0.882622229578910122, 0.873271068082494550,
0.863795545546826915, 0.854189171001560554, 0.844444954902423661, 0.834555354079518752,
0.824512208745288633, 0.814306670128064347, 0.803929116982664893, 0.793369058833152785,
0.782615023299588763, 0.771654424216739354, 0.760473406422083165, 0.749056662009581653,
0.737387211425838629, 0.725446140901303549, 0.713212285182022732, 0.700661841097584448,
0.687767892786257717, 0.674499822827436479, 0.660822574234205984, 0.646695714884388928,
0.632072236375024632, 0.616896989996235545, 0.601104617743940417, 0.584616766093722262,
0.567338257040473026, 0.549151702313026790, 0.529909720646495108, 0.509423329585933393,
0.487443966121754335, 0.463634336771763245, 0.437518402186662658, 0.408389134588000746,
0.375121332850465727, 0.335737519180459465, 0.286174591747260509, 0.215241895913273806,
0.000000000000000000];
pub static ZIG_NORM_F: [f64; 257] =
[0.000477467764586655, 0.001260285930498598, 0.002609072746106363, 0.004037972593371872,
0.005522403299264754, 0.007050875471392110, 0.008616582769422917, 0.010214971439731100,
0.011842757857943104, 0.013497450601780807, 0.015177088307982072, 0.016880083152595839,
0.018605121275783350, 0.020351096230109354, 0.022117062707379922, 0.023902203305873237,
0.025705804008632656, 0.027527235669693315, 0.029365939758230111, 0.031221417192023690,
0.033093219458688698, 0.034980941461833073, 0.036884215688691151, 0.038802707404656918,
0.040736110656078753, 0.042684144916619378, 0.044646552251446536, 0.046623094902089664,
0.048613553216035145, 0.050617723861121788, 0.052635418276973649, 0.054666461325077916,
0.056710690106399467, 0.058767952921137984, 0.060838108349751806, 0.062921024437977854,
0.065016577971470438, 0.067124653828023989, 0.069245144397250269, 0.071377949059141965,
0.073522973714240991, 0.075680130359194964, 0.077849336702372207, 0.080030515814947509,
0.082223595813495684, 0.084428509570654661, 0.086645194450867782, 0.088873592068594229,
0.091113648066700734, 0.093365311913026619, 0.095628536713353335, 0.097903279039215627,
0.100189498769172020, 0.102487158942306270, 0.104796225622867056, 0.107116667775072880,
0.109448457147210021, 0.111791568164245583, 0.114145977828255210, 0.116511665626037014,
0.118888613443345698, 0.121276805485235437, 0.123676228202051403, 0.126086870220650349,
0.128508722280473636, 0.130941777174128166, 0.133386029692162844, 0.135841476571757352,
0.138308116449064322, 0.140785949814968309, 0.143274978974047118, 0.145775208006537926,
0.148286642733128721, 0.150809290682410169, 0.153343161060837674, 0.155888264725064563,
0.158444614156520225, 0.161012223438117663, 0.163591108232982951, 0.166181285765110071,
0.168782774801850333, 0.171395595638155623, 0.174019770082499359, 0.176655321444406654,
0.179302274523530397, 0.181960655600216487, 0.184630492427504539, 0.187311814224516926,
0.190004651671193070, 0.192709036904328807, 0.195425003514885592, 0.198152586546538112,
0.200891822495431333, 0.203642749311121501, 0.206405406398679298, 0.209179834621935651,
0.211966076307852941, 0.214764175252008499, 0.217574176725178370, 0.220396127481011589,
0.223230075764789593, 0.226076071323264877, 0.228934165415577484, 0.231804410825248525,
0.234686861873252689, 0.237581574432173676, 0.240488605941449107, 0.243408015423711988,
0.246339863502238771, 0.249284212419516704, 0.252241126056943765, 0.255210669955677150,
0.258192911338648023, 0.261187919133763713, 0.264195763998317568, 0.267216518344631837,
0.270250256366959984, 0.273297054069675804, 0.276356989296781264, 0.279430141762765316,
0.282516593084849388, 0.285616426816658109, 0.288729728483353931, 0.291856585618280984,
0.294997087801162572, 0.298151326697901342, 0.301319396102034120, 0.304501391977896274,
0.307697412505553769, 0.310907558127563710, 0.314131931597630143, 0.317370638031222396,
0.320623784958230129, 0.323891482377732021, 0.327173842814958593, 0.330470981380537099,
0.333783015832108509, 0.337110066638412809, 0.340452257045945450, 0.343809713148291340,
0.347182563958251478, 0.350570941482881204, 0.353974980801569250, 0.357394820147290515,
0.360830600991175754, 0.364282468130549597, 0.367750569780596226, 0.371235057669821344,
0.374736087139491414, 0.378253817247238111, 0.381788410875031348, 0.385340034841733958,
0.388908860020464597, 0.392495061461010764, 0.396098818517547080, 0.399720314981931668,
0.403359739222868885, 0.407017284331247953, 0.410693148271983222, 0.414387534042706784,
0.418100649839684591, 0.421832709231353298, 0.425583931339900579, 0.429354541031341519,
0.433144769114574058, 0.436954852549929273, 0.440785034667769915, 0.444635565397727750,
0.448506701509214067, 0.452398706863882505, 0.456311852680773566, 0.460246417814923481,
0.464202689050278838, 0.468180961407822172, 0.472181538469883255, 0.476204732721683788,
0.480250865911249714, 0.484320269428911598, 0.488413284707712059, 0.492530263646148658,
0.496671569054796314, 0.500837575128482149, 0.505028667945828791, 0.509245245998136142,
0.513487720749743026, 0.517756517232200619, 0.522052074674794864, 0.526374847174186700,
0.530725304406193921, 0.535103932383019565, 0.539511234259544614, 0.543947731192649941,
0.548413963257921133, 0.552910490428519918, 0.557437893621486324, 0.561996775817277916,
0.566587763258951771, 0.571211506738074970, 0.575868682975210544, 0.580559996103683473,
0.585286179266300333, 0.590047996335791969, 0.594846243770991268, 0.599681752622167719,
0.604555390700549533, 0.609468064928895381, 0.614420723892076803, 0.619414360609039205,
0.624450015550274240, 0.629528779928128279, 0.634651799290960050, 0.639820277456438991,
0.645035480824251883, 0.650298743114294586, 0.655611470583224665, 0.660975147780241357,
0.666391343912380640, 0.671861719900766374, 0.677388036222513090, 0.682972161648791376,
0.688616083008527058, 0.694321916130032579, 0.700091918140490099, 0.705928501336797409,
0.711834248882358467, 0.717811932634901395, 0.723864533472881599, 0.729995264565802437,
0.736207598131266683, 0.742505296344636245, 0.748892447223726720, 0.755373506511754500,
0.761953346841546475, 0.768637315803334831, 0.775431304986138326, 0.782341832659861902,
0.789376143571198563, 0.796542330428254619, 0.803849483176389490, 0.811307874318219935,
0.818929191609414797, 0.826726833952094231, 0.834716292992930375, 0.842915653118441077,
0.851346258465123684, 0.860033621203008636, 0.869008688043793165, 0.878309655816146839,
0.887984660763399880, 0.898095921906304051, 0.908726440060562912, 0.919991505048360247,
0.932060075968990209, 0.945198953453078028, 0.959879091812415930, 0.977101701282731328,
1.000000000000000000];
pub const ZIG_EXP_R: f64 = 7.697117470131050077;
pub static ZIG_EXP_X: [f64; 257] =
[8.697117470131052741, 7.697117470131050077, 6.941033629377212577, 6.478378493832569696,
6.144164665772472667, 5.882144315795399869, 5.666410167454033697, 5.482890627526062488,
5.323090505754398016, 5.181487281301500047, 5.054288489981304089, 4.938777085901250530,
4.832939741025112035, 4.735242996601741083, 4.644491885420085175, 4.559737061707351380,
4.480211746528421912, 4.405287693473573185, 4.334443680317273007, 4.267242480277365857,
4.203313713735184365, 4.142340865664051464, 4.084051310408297830, 4.028208544647936762,
3.974606066673788796, 3.923062500135489739, 3.873417670399509127, 3.825529418522336744,
3.779270992411667862, 3.734528894039797375, 3.691201090237418825, 3.649195515760853770,
3.608428813128909507, 3.568825265648337020, 3.530315889129343354, 3.492837654774059608,
3.456332821132760191, 3.420748357251119920, 3.386035442460300970, 3.352149030900109405,
3.319047470970748037, 3.286692171599068679, 3.255047308570449882, 3.224079565286264160,
3.193757903212240290, 3.164053358025972873, 3.134938858084440394, 3.106389062339824481,
3.078380215254090224, 3.050890016615455114, 3.023897504455676621, 2.997382949516130601,
2.971327759921089662, 2.945714394895045718, 2.920526286512740821, 2.895747768600141825,
2.871364012015536371, 2.847360965635188812, 2.823725302450035279, 2.800444370250737780,
2.777506146439756574, 2.754899196562344610, 2.732612636194700073, 2.710636095867928752,
2.688959688741803689, 2.667573980773266573, 2.646469963151809157, 2.625639026797788489,
2.605072938740835564, 2.584763820214140750, 2.564704126316905253, 2.544886627111869970,
2.525304390037828028, 2.505950763528594027, 2.486819361740209455, 2.467904050297364815,
2.449198932978249754, 2.430698339264419694, 2.412396812688870629, 2.394289099921457886,
2.376370140536140596, 2.358635057409337321, 2.341079147703034380, 2.323697874390196372,
2.306486858283579799, 2.289441870532269441, 2.272558825553154804, 2.255833774367219213,
2.239262898312909034, 2.222842503111036816, 2.206569013257663858, 2.190438966723220027,
2.174449009937774679, 2.158595893043885994, 2.142876465399842001, 2.127287671317368289,
2.111826546019042183, 2.096490211801715020, 2.081275874393225145, 2.066180819490575526,
2.051202409468584786, 2.036338080248769611, 2.021585338318926173, 2.006941757894518563,
1.992404978213576650, 1.977972700957360441, 1.963642687789548313, 1.949412758007184943,
1.935280786297051359, 1.921244700591528076, 1.907302480018387536, 1.893452152939308242,
1.879691795072211180, 1.866019527692827973, 1.852433515911175554, 1.838931967018879954,
1.825513128903519799, 1.812175288526390649, 1.798916770460290859, 1.785735935484126014,
1.772631179231305643, 1.759600930889074766, 1.746643651946074405, 1.733757834985571566,
1.720942002521935299, 1.708194705878057773, 1.695514524101537912, 1.682900062917553896,
1.670349953716452118, 1.657862852574172763, 1.645437439303723659, 1.633072416535991334,
1.620766508828257901, 1.608518461798858379, 1.596327041286483395, 1.584191032532688892,
1.572109239386229707, 1.560080483527888084, 1.548103603714513499, 1.536177455041032092,
1.524300908219226258, 1.512472848872117082, 1.500692176842816750, 1.488957805516746058,
1.477268661156133867, 1.465623682245745352, 1.454021818848793446, 1.442462031972012504,
1.430943292938879674, 1.419464582769983219, 1.408024891569535697, 1.396623217917042137,
1.385258568263121992, 1.373929956328490576, 1.362636402505086775, 1.351376933258335189,
1.340150580529504643, 1.328956381137116560, 1.317793376176324749, 1.306660610415174117,
1.295557131686601027, 1.284481990275012642, 1.273434238296241139, 1.262412929069615330,
1.251417116480852521, 1.240445854334406572, 1.229498195693849105, 1.218573192208790124,
1.207669893426761121, 1.196787346088403092, 1.185924593404202199, 1.175080674310911677,
1.164254622705678921, 1.153445466655774743, 1.142652227581672841, 1.131873919411078511,
1.121109547701330200, 1.110358108727411031, 1.099618588532597308, 1.088889961938546813,
1.078171191511372307, 1.067461226479967662, 1.056759001602551429, 1.046063435977044209,
1.035373431790528542, 1.024687873002617211, 1.014005623957096480, 1.003325527915696735,
0.992646405507275897, 0.981967053085062602, 0.971286240983903260, 0.960602711668666509,
0.949915177764075969, 0.939222319955262286, 0.928522784747210395, 0.917815182070044311,
0.907098082715690257, 0.896370015589889935, 0.885629464761751528, 0.874874866291025066,
0.864104604811004484, 0.853317009842373353, 0.842510351810368485, 0.831682837734273206,
0.820832606554411814, 0.809957724057418282, 0.799056177355487174, 0.788125868869492430,
0.777164609759129710, 0.766170112735434672, 0.755139984181982249, 0.744071715500508102,
0.732962673584365398, 0.721810090308756203, 0.710611050909655040, 0.699362481103231959,
0.688061132773747808, 0.676703568029522584, 0.665286141392677943, 0.653804979847664947,
0.642255960424536365, 0.630634684933490286, 0.618936451394876075, 0.607156221620300030,
0.595288584291502887, 0.583327712748769489, 0.571267316532588332, 0.559100585511540626,
0.546820125163310577, 0.534417881237165604, 0.521885051592135052, 0.509211982443654398,
0.496388045518671162, 0.483401491653461857, 0.470239275082169006, 0.456886840931420235,
0.443327866073552401, 0.429543940225410703, 0.415514169600356364, 0.401214678896277765,
0.386617977941119573, 0.371692145329917234, 0.356399760258393816, 0.340696481064849122,
0.324529117016909452, 0.307832954674932158, 0.290527955491230394, 0.272513185478464703,
0.253658363385912022, 0.233790483059674731, 0.212671510630966620, 0.189958689622431842,
0.165127622564187282, 0.137304980940012589, 0.104838507565818778, 0.063852163815001570,
0.000000000000000000];
pub static ZIG_EXP_F: [f64; 257] =
[0.000167066692307963, 0.000454134353841497, 0.000967269282327174, 0.001536299780301573,
0.002145967743718907, 0.002788798793574076, 0.003460264777836904, 0.004157295120833797,
0.004877655983542396, 0.005619642207205489, 0.006381905937319183, 0.007163353183634991,
0.007963077438017043, 0.008780314985808977, 0.009614413642502212, 0.010464810181029981,
0.011331013597834600, 0.012212592426255378, 0.013109164931254991, 0.014020391403181943,
0.014945968011691148, 0.015885621839973156, 0.016839106826039941, 0.017806200410911355,
0.018786700744696024, 0.019780424338009740, 0.020787204072578114, 0.021806887504283581,
0.022839335406385240, 0.023884420511558174, 0.024942026419731787, 0.026012046645134221,
0.027094383780955803, 0.028188948763978646, 0.029295660224637411, 0.030414443910466622,
0.031545232172893622, 0.032687963508959555, 0.033842582150874358, 0.035009037697397431,
0.036187284781931443, 0.037377282772959382, 0.038578995503074871, 0.039792391023374139,
0.041017441380414840, 0.042254122413316254, 0.043502413568888197, 0.044762297732943289,
0.046033761076175184, 0.047316792913181561, 0.048611385573379504, 0.049917534282706379,
0.051235237055126281, 0.052564494593071685, 0.053905310196046080, 0.055257689676697030,
0.056621641283742870, 0.057997175631200659, 0.059384305633420280, 0.060783046445479660,
0.062193415408541036, 0.063615431999807376, 0.065049117786753805, 0.066494496385339816,
0.067951593421936643, 0.069420436498728783, 0.070901055162371843, 0.072393480875708752,
0.073897746992364746, 0.075413888734058410, 0.076941943170480517, 0.078481949201606435,
0.080033947542319905, 0.081597980709237419, 0.083174093009632397, 0.084762330532368146,
0.086362741140756927, 0.087975374467270231, 0.089600281910032886, 0.091237516631040197,
0.092887133556043569, 0.094549189376055873, 0.096223742550432825, 0.097910853311492213,
0.099610583670637132, 0.101322997425953631, 0.103048160171257702, 0.104786139306570145,
0.106537004050001632, 0.108300825451033755, 0.110077676405185357, 0.111867631670056283,
0.113670767882744286, 0.115487163578633506, 0.117316899211555525, 0.119160057175327641,
0.121016721826674792, 0.122886979509545108, 0.124770918580830933, 0.126668629437510671,
0.128580204545228199, 0.130505738468330773, 0.132445327901387494, 0.134399071702213602,
0.136367070926428829, 0.138349428863580176, 0.140346251074862399, 0.142357645432472146,
0.144383722160634720, 0.146424593878344889, 0.148480375643866735, 0.150551185001039839,
0.152637142027442801, 0.154738369384468027, 0.156854992369365148, 0.158987138969314129,
0.161134939917591952, 0.163298528751901734, 0.165478041874935922, 0.167673618617250081,
0.169885401302527550, 0.172113535315319977, 0.174358169171353411, 0.176619454590494829,
0.178897546572478278, 0.181192603475496261, 0.183504787097767436, 0.185834262762197083,
0.188181199404254262, 0.190545769663195363, 0.192928149976771296, 0.195328520679563189,
0.197747066105098818, 0.200183974691911210, 0.202639439093708962, 0.205113656293837654,
0.207606827724221982, 0.210119159388988230, 0.212650861992978224, 0.215202151075378628,
0.217773247148700472, 0.220364375843359439, 0.222975768058120111, 0.225607660116683956,
0.228260293930716618, 0.230933917169627356, 0.233628783437433291, 0.236345152457059560,
0.239083290262449094, 0.241843469398877131, 0.244625969131892024, 0.247431075665327543,
0.250259082368862240, 0.253110290015629402, 0.255985007030415324, 0.258883549749016173,
0.261806242689362922, 0.264753418835062149, 0.267725419932044739, 0.270722596799059967,
0.273745309652802915, 0.276793928448517301, 0.279868833236972869, 0.282970414538780746,
0.286099073737076826, 0.289255223489677693, 0.292439288161892630, 0.295651704281261252,
0.298892921015581847, 0.302163400675693528, 0.305463619244590256, 0.308794066934560185,
0.312155248774179606, 0.315547685227128949, 0.318971912844957239, 0.322428484956089223,
0.325917972393556354, 0.329440964264136438, 0.332998068761809096, 0.336589914028677717,
0.340217149066780189, 0.343880444704502575, 0.347580494621637148, 0.351318016437483449,
0.355093752866787626, 0.358908472948750001, 0.362762973354817997, 0.366658079781514379,
0.370594648435146223, 0.374573567615902381, 0.378595759409581067, 0.382662181496010056,
0.386773829084137932, 0.390931736984797384, 0.395136981833290435, 0.399390684475231350,
0.403694012530530555, 0.408048183152032673, 0.412454465997161457, 0.416914186433003209,
0.421428728997616908, 0.425999541143034677, 0.430628137288459167, 0.435316103215636907,
0.440065100842354173, 0.444876873414548846, 0.449753251162755330, 0.454696157474615836,
0.459707615642138023, 0.464789756250426511, 0.469944825283960310, 0.475175193037377708,
0.480483363930454543, 0.485871987341885248, 0.491343869594032867, 0.496901987241549881,
0.502549501841348056, 0.508289776410643213, 0.514126393814748894, 0.520063177368233931,
0.526104213983620062, 0.532253880263043655, 0.538516872002862246, 0.544898237672440056,
0.551403416540641733, 0.558038282262587892, 0.564809192912400615, 0.571723048664826150,
0.578787358602845359, 0.586010318477268366, 0.593400901691733762, 0.600968966365232560,
0.608725382079622346, 0.616682180915207878, 0.624852738703666200, 0.633251994214366398,
0.641896716427266423, 0.650805833414571433, 0.660000841079000145, 0.669506316731925177,
0.679350572264765806, 0.689566496117078431, 0.700192655082788606, 0.711274760805076456,
0.722867659593572465, 0.735038092431424039, 0.747868621985195658, 0.761463388849896838,
0.775956852040116218, 0.791527636972496285, 0.808421651523009044, 0.826993296643051101,
0.847785500623990496, 0.871704332381204705, 0.900469929925747703, 0.938143680862176477,
1.000000000000000000];

754
third_party/rust/rand-0.4.6/src/jitter.rs поставляемый
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@ -1,754 +0,0 @@
// Copyright 2017 The Rust Project Developers. See the COPYRIGHT
// file at the top-level directory of this distribution and at
// http://rust-lang.org/COPYRIGHT.
//
// Licensed under the Apache License, Version 2.0 <LICENSE-APACHE or
// http://www.apache.org/licenses/LICENSE-2.0> or the MIT license
// <LICENSE-MIT or http://opensource.org/licenses/MIT>, at your
// option. This file may not be copied, modified, or distributed
// except according to those terms.
//
// Based on jitterentropy-library, http://www.chronox.de/jent.html.
// Copyright Stephan Mueller <smueller@chronox.de>, 2014 - 2017.
//
// With permission from Stephan Mueller to relicense the Rust translation under
// the MIT license.
//! Non-physical true random number generator based on timing jitter.
use Rng;
use core::{fmt, mem, ptr};
#[cfg(feature="std")]
use std::sync::atomic::{AtomicUsize, ATOMIC_USIZE_INIT, Ordering};
const MEMORY_BLOCKS: usize = 64;
const MEMORY_BLOCKSIZE: usize = 32;
const MEMORY_SIZE: usize = MEMORY_BLOCKS * MEMORY_BLOCKSIZE;
/// A true random number generator based on jitter in the CPU execution time,
/// and jitter in memory access time.
///
/// This is a true random number generator, as opposed to pseudo-random
/// generators. Random numbers generated by `JitterRng` can be seen as fresh
/// entropy. A consequence is that is orders of magnitude slower than `OsRng`
/// and PRNGs (about 10^3 .. 10^6 slower).
///
/// There are very few situations where using this RNG is appropriate. Only very
/// few applications require true entropy. A normal PRNG can be statistically
/// indistinguishable, and a cryptographic PRNG should also be as impossible to
/// predict.
///
/// Use of `JitterRng` is recommended for initializing cryptographic PRNGs when
/// `OsRng` is not available.
///
/// This implementation is based on
/// [Jitterentropy](http://www.chronox.de/jent.html) version 2.1.0.
//
// Note: the C implementation relies on being compiled without optimizations.
// This implementation goes through lengths to make the compiler not optimise
// out what is technically dead code, but that does influence timing jitter.
pub struct JitterRng {
data: u64, // Actual random number
// Number of rounds to run the entropy collector per 64 bits
rounds: u32,
// Timer and previous time stamp, used by `measure_jitter`
timer: fn() -> u64,
prev_time: u64,
// Deltas used for the stuck test
last_delta: i64,
last_delta2: i64,
// Memory for the Memory Access noise source
mem_prev_index: usize,
mem: [u8; MEMORY_SIZE],
// Make `next_u32` not waste 32 bits
data_remaining: Option<u32>,
}
// Custom Debug implementation that does not expose the internal state
impl fmt::Debug for JitterRng {
fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result {
write!(f, "JitterRng {{}}")
}
}
/// An error that can occur when `test_timer` fails.
#[derive(Debug, Clone, PartialEq, Eq)]
pub enum TimerError {
/// No timer available.
NoTimer,
/// Timer too coarse to use as an entropy source.
CoarseTimer,
/// Timer is not monotonically increasing.
NotMonotonic,
/// Variations of deltas of time too small.
TinyVariantions,
/// Too many stuck results (indicating no added entropy).
TooManyStuck,
#[doc(hidden)]
__Nonexhaustive,
}
impl TimerError {
fn description(&self) -> &'static str {
match *self {
TimerError::NoTimer => "no timer available",
TimerError::CoarseTimer => "coarse timer",
TimerError::NotMonotonic => "timer not monotonic",
TimerError::TinyVariantions => "time delta variations too small",
TimerError::TooManyStuck => "too many stuck results",
TimerError::__Nonexhaustive => unreachable!(),
}
}
}
impl fmt::Display for TimerError {
fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result {
write!(f, "{}", self.description())
}
}
#[cfg(feature="std")]
impl ::std::error::Error for TimerError {
fn description(&self) -> &str {
self.description()
}
}
// Initialise to zero; must be positive
#[cfg(feature="std")]
static JITTER_ROUNDS: AtomicUsize = ATOMIC_USIZE_INIT;
impl JitterRng {
/// Create a new `JitterRng`.
/// Makes use of `std::time` for a timer.
///
/// During initialization CPU execution timing jitter is measured a few
/// hundred times. If this does not pass basic quality tests, an error is
/// returned. The test result is cached to make subsequent calls faster.
#[cfg(feature="std")]
pub fn new() -> Result<JitterRng, TimerError> {
let mut ec = JitterRng::new_with_timer(platform::get_nstime);
let mut rounds = JITTER_ROUNDS.load(Ordering::Relaxed) as u32;
if rounds == 0 {
// No result yet: run test.
// This allows the timer test to run multiple times; we don't care.
rounds = ec.test_timer()?;
JITTER_ROUNDS.store(rounds as usize, Ordering::Relaxed);
}
ec.set_rounds(rounds);
Ok(ec)
}
/// Create a new `JitterRng`.
/// A custom timer can be supplied, making it possible to use `JitterRng` in
/// `no_std` environments.
///
/// The timer must have nanosecond precision.
///
/// This method is more low-level than `new()`. It is the responsibility of
/// the caller to run `test_timer` before using any numbers generated with
/// `JitterRng`, and optionally call `set_rounds()`.
pub fn new_with_timer(timer: fn() -> u64) -> JitterRng {
let mut ec = JitterRng {
data: 0,
rounds: 64,
timer: timer,
prev_time: 0,
last_delta: 0,
last_delta2: 0,
mem_prev_index: 0,
mem: [0; MEMORY_SIZE],
data_remaining: None,
};
// Fill `data`, `prev_time`, `last_delta` and `last_delta2` with
// non-zero values.
ec.prev_time = timer();
ec.gen_entropy();
// Do a single read from `self.mem` to make sure the Memory Access noise
// source is not optimised out.
// Note: this read is important, it effects optimisations for the entire
// module!
black_box(ec.mem[0]);
ec
}
/// Configures how many rounds are used to generate each 64-bit value.
/// This must be greater than zero, and has a big impact on performance
/// and output quality.
///
/// `new_with_timer` conservatively uses 64 rounds, but often less rounds
/// can be used. The `test_timer()` function returns the minimum number of
/// rounds required for full strength (platform dependent), so one may use
/// `rng.set_rounds(rng.test_timer()?);` or cache the value.
pub fn set_rounds(&mut self, rounds: u32) {
assert!(rounds > 0);
self.rounds = rounds;
}
// Calculate a random loop count used for the next round of an entropy
// collection, based on bits from a fresh value from the timer.
//
// The timer is folded to produce a number that contains at most `n_bits`
// bits.
//
// Note: A constant should be added to the resulting random loop count to
// prevent loops that run 0 times.
#[inline(never)]
fn random_loop_cnt(&mut self, n_bits: u32) -> u32 {
let mut rounds = 0;
let mut time = (self.timer)();
// Mix with the current state of the random number balance the random
// loop counter a bit more.
time ^= self.data;
// We fold the time value as much as possible to ensure that as many
// bits of the time stamp are included as possible.
let folds = (64 + n_bits - 1) / n_bits;
let mask = (1 << n_bits) - 1;
for _ in 0..folds {
rounds ^= time & mask;
time = time >> n_bits;
}
rounds as u32
}
// CPU jitter noise source
// Noise source based on the CPU execution time jitter
//
// This function injects the individual bits of the time value into the
// entropy pool using an LFSR.
//
// The code is deliberately inefficient with respect to the bit shifting.
// This function not only acts as folding operation, but this function's
// execution is used to measure the CPU execution time jitter. Any change to
// the loop in this function implies that careful retesting must be done.
#[inline(never)]
fn lfsr_time(&mut self, time: u64, var_rounds: bool) {
fn lfsr(mut data: u64, time: u64) -> u64{
for i in 1..65 {
let mut tmp = time << (64 - i);
tmp = tmp >> (64 - 1);
// Fibonacci LSFR with polynomial of
// x^64 + x^61 + x^56 + x^31 + x^28 + x^23 + 1 which is
// primitive according to
// http://poincare.matf.bg.ac.rs/~ezivkovm/publications/primpol1.pdf
// (the shift values are the polynomial values minus one
// due to counting bits from 0 to 63). As the current
// position is always the LSB, the polynomial only needs
// to shift data in from the left without wrap.
data ^= tmp;
data ^= (data >> 63) & 1;
data ^= (data >> 60) & 1;
data ^= (data >> 55) & 1;
data ^= (data >> 30) & 1;
data ^= (data >> 27) & 1;
data ^= (data >> 22) & 1;
data = data.rotate_left(1);
}
data
}
// Note: in the reference implementation only the last round effects
// `self.data`, all the other results are ignored. To make sure the
// other rounds are not optimised out, we first run all but the last
// round on a throw-away value instead of the real `self.data`.
let mut lfsr_loop_cnt = 0;
if var_rounds { lfsr_loop_cnt = self.random_loop_cnt(4) };
let mut throw_away: u64 = 0;
for _ in 0..lfsr_loop_cnt {
throw_away = lfsr(throw_away, time);
}
black_box(throw_away);
self.data = lfsr(self.data, time);
}
// Memory Access noise source
// This is a noise source based on variations in memory access times
//
// This function performs memory accesses which will add to the timing
// variations due to an unknown amount of CPU wait states that need to be
// added when accessing memory. The memory size should be larger than the L1
// caches as outlined in the documentation and the associated testing.
//
// The L1 cache has a very high bandwidth, albeit its access rate is usually
// slower than accessing CPU registers. Therefore, L1 accesses only add
// minimal variations as the CPU has hardly to wait. Starting with L2,
// significant variations are added because L2 typically does not belong to
// the CPU any more and therefore a wider range of CPU wait states is
// necessary for accesses. L3 and real memory accesses have even a wider
// range of wait states. However, to reliably access either L3 or memory,
// the `self.mem` memory must be quite large which is usually not desirable.
#[inline(never)]
fn memaccess(&mut self, var_rounds: bool) {
let mut acc_loop_cnt = 128;
if var_rounds { acc_loop_cnt += self.random_loop_cnt(4) };
let mut index = self.mem_prev_index;
for _ in 0..acc_loop_cnt {
// Addition of memblocksize - 1 to index with wrap around logic to
// ensure that every memory location is hit evenly.
// The modulus also allows the compiler to remove the indexing
// bounds check.
index = (index + MEMORY_BLOCKSIZE - 1) % MEMORY_SIZE;
// memory access: just add 1 to one byte
// memory access implies read from and write to memory location
let tmp = self.mem[index];
self.mem[index] = tmp.wrapping_add(1);
}
self.mem_prev_index = index;
}
// Stuck test by checking the:
// - 1st derivation of the jitter measurement (time delta)
// - 2nd derivation of the jitter measurement (delta of time deltas)
// - 3rd derivation of the jitter measurement (delta of delta of time
// deltas)
//
// All values must always be non-zero.
// This test is a heuristic to see whether the last measurement holds
// entropy.
fn stuck(&mut self, current_delta: i64) -> bool {
let delta2 = self.last_delta - current_delta;
let delta3 = delta2 - self.last_delta2;
self.last_delta = current_delta;
self.last_delta2 = delta2;
current_delta == 0 || delta2 == 0 || delta3 == 0
}
// This is the heart of the entropy generation: calculate time deltas and
// use the CPU jitter in the time deltas. The jitter is injected into the
// entropy pool.
//
// Ensure that `self.prev_time` is primed before using the output of this
// function. This can be done by calling this function and not using its
// result.
fn measure_jitter(&mut self) -> Option<()> {
// Invoke one noise source before time measurement to add variations
self.memaccess(true);
// Get time stamp and calculate time delta to previous
// invocation to measure the timing variations
let time = (self.timer)();
// Note: wrapping_sub combined with a cast to `i64` generates a correct
// delta, even in the unlikely case this is a timer that is not strictly
// monotonic.
let current_delta = time.wrapping_sub(self.prev_time) as i64;
self.prev_time = time;
// Call the next noise source which also injects the data
self.lfsr_time(current_delta as u64, true);
// Check whether we have a stuck measurement (i.e. does the last
// measurement holds entropy?).
if self.stuck(current_delta) { return None };
// Rotate the data buffer by a prime number (any odd number would
// do) to ensure that every bit position of the input time stamp
// has an even chance of being merged with a bit position in the
// entropy pool. We do not use one here as the adjacent bits in
// successive time deltas may have some form of dependency. The
// chosen value of 7 implies that the low 7 bits of the next
// time delta value is concatenated with the current time delta.
self.data = self.data.rotate_left(7);
Some(())
}
// Shuffle the pool a bit by mixing some value with a bijective function
// (XOR) into the pool.
//
// The function generates a mixer value that depends on the bits set and
// the location of the set bits in the random number generated by the
// entropy source. Therefore, based on the generated random number, this
// mixer value can have 2^64 different values. That mixer value is
// initialized with the first two SHA-1 constants. After obtaining the
// mixer value, it is XORed into the random number.
//
// The mixer value is not assumed to contain any entropy. But due to the
// XOR operation, it can also not destroy any entropy present in the
// entropy pool.
#[inline(never)]
fn stir_pool(&mut self) {
// This constant is derived from the first two 32 bit initialization
// vectors of SHA-1 as defined in FIPS 180-4 section 5.3.1
// The order does not really matter as we do not rely on the specific
// numbers. We just pick the SHA-1 constants as they have a good mix of
// bit set and unset.
const CONSTANT: u64 = 0x67452301efcdab89;
// The start value of the mixer variable is derived from the third
// and fourth 32 bit initialization vector of SHA-1 as defined in
// FIPS 180-4 section 5.3.1
let mut mixer = 0x98badcfe10325476;
// This is a constant time function to prevent leaking timing
// information about the random number.
// The normal code is:
// ```
// for i in 0..64 {
// if ((self.data >> i) & 1) == 1 { mixer ^= CONSTANT; }
// }
// ```
// This is a bit fragile, as LLVM really wants to use branches here, and
// we rely on it to not recognise the opportunity.
for i in 0..64 {
let apply = (self.data >> i) & 1;
let mask = !apply.wrapping_sub(1);
mixer ^= CONSTANT & mask;
mixer = mixer.rotate_left(1);
}
self.data ^= mixer;
}
fn gen_entropy(&mut self) -> u64 {
// Prime `self.prev_time`, and run the noice sources to make sure the
// first loop round collects the expected entropy.
let _ = self.measure_jitter();
for _ in 0..self.rounds {
// If a stuck measurement is received, repeat measurement
// Note: we do not guard against an infinite loop, that would mean
// the timer suddenly became broken.
while self.measure_jitter().is_none() {}
}
self.stir_pool();
self.data
}
/// Basic quality tests on the timer, by measuring CPU timing jitter a few
/// hundred times.
///
/// If succesful, this will return the estimated number of rounds necessary
/// to collect 64 bits of entropy. Otherwise a `TimerError` with the cause
/// of the failure will be returned.
pub fn test_timer(&mut self) -> Result<u32, TimerError> {
// We could add a check for system capabilities such as `clock_getres`
// or check for `CONFIG_X86_TSC`, but it does not make much sense as the
// following sanity checks verify that we have a high-resolution timer.
#[cfg(all(target_arch = "wasm32", not(target_os = "emscripten")))]
return Err(TimerError::NoTimer);
let mut delta_sum = 0;
let mut old_delta = 0;
let mut time_backwards = 0;
let mut count_mod = 0;
let mut count_stuck = 0;
// TESTLOOPCOUNT needs some loops to identify edge systems.
// 100 is definitely too little.
const TESTLOOPCOUNT: u64 = 300;
const CLEARCACHE: u64 = 100;
for i in 0..(CLEARCACHE + TESTLOOPCOUNT) {
// Measure time delta of core entropy collection logic
let time = (self.timer)();
self.memaccess(true);
self.lfsr_time(time, true);
let time2 = (self.timer)();
// Test whether timer works
if time == 0 || time2 == 0 {
return Err(TimerError::NoTimer);
}
let delta = time2.wrapping_sub(time) as i64;
// Test whether timer is fine grained enough to provide delta even
// when called shortly after each other -- this implies that we also
// have a high resolution timer
if delta == 0 {
return Err(TimerError::CoarseTimer);
}
// Up to here we did not modify any variable that will be
// evaluated later, but we already performed some work. Thus we
// already have had an impact on the caches, branch prediction,
// etc. with the goal to clear it to get the worst case
// measurements.
if i < CLEARCACHE { continue; }
if self.stuck(delta) { count_stuck += 1; }
// Test whether we have an increasing timer.
if !(time2 > time) { time_backwards += 1; }
// Count the number of times the counter increases in steps of 100ns
// or greater.
if (delta % 100) == 0 { count_mod += 1; }
// Ensure that we have a varying delta timer which is necessary for
// the calculation of entropy -- perform this check only after the
// first loop is executed as we need to prime the old_delta value
delta_sum += (delta - old_delta).abs() as u64;
old_delta = delta;
}
// We allow the time to run backwards for up to three times.
// This can happen if the clock is being adjusted by NTP operations.
// If such an operation just happens to interfere with our test, it
// should not fail. The value of 3 should cover the NTP case being
// performed during our test run.
if time_backwards > 3 {
return Err(TimerError::NotMonotonic);
}
// Test that the available amount of entropy per round does not get to
// low. We expect 1 bit of entropy per round as a reasonable minimum
// (although less is possible, it means the collector loop has to run
// much more often).
// `assert!(delta_average >= log2(1))`
// `assert!(delta_sum / TESTLOOPCOUNT >= 1)`
// `assert!(delta_sum >= TESTLOOPCOUNT)`
if delta_sum < TESTLOOPCOUNT {
return Err(TimerError::TinyVariantions);
}
// Ensure that we have variations in the time stamp below 100 for at
// least 10% of all checks -- on some platforms, the counter increments
// in multiples of 100, but not always
if count_mod > (TESTLOOPCOUNT * 9 / 10) {
return Err(TimerError::CoarseTimer);
}
// If we have more than 90% stuck results, then this Jitter RNG is
// likely to not work well.
if count_stuck > (TESTLOOPCOUNT * 9 / 10) {
return Err(TimerError::TooManyStuck);
}
// Estimate the number of `measure_jitter` rounds necessary for 64 bits
// of entropy.
//
// We don't try very hard to come up with a good estimate of the
// available bits of entropy per round here for two reasons:
// 1. Simple estimates of the available bits (like Shannon entropy) are
// too optimistic.
// 2) Unless we want to waste a lot of time during intialization, there
// only a small number of samples are available.
//
// Therefore we use a very simple and conservative estimate:
// `let bits_of_entropy = log2(delta_average) / 2`.
//
// The number of rounds `measure_jitter` should run to collect 64 bits
// of entropy is `64 / bits_of_entropy`.
//
// To have smaller rounding errors, intermediate values are multiplied
// by `FACTOR`. To compensate for `log2` and division rounding down,
// add 1.
let delta_average = delta_sum / TESTLOOPCOUNT;
// println!("delta_average: {}", delta_average);
const FACTOR: u32 = 3;
fn log2(x: u64) -> u32 { 64 - x.leading_zeros() }
// pow(δ, FACTOR) must be representable; if you have overflow reduce FACTOR
Ok(64 * 2 * FACTOR / (log2(delta_average.pow(FACTOR)) + 1))
}
/// Statistical test: return the timer delta of one normal run of the
/// `JitterEntropy` entropy collector.
///
/// Setting `var_rounds` to `true` will execute the memory access and the
/// CPU jitter noice sources a variable amount of times (just like a real
/// `JitterEntropy` round).
///
/// Setting `var_rounds` to `false` will execute the noice sources the
/// minimal number of times. This can be used to measure the minimum amount
/// of entropy one round of entropy collector can collect in the worst case.
///
/// # Example
///
/// Use `timer_stats` to run the [NIST SP 800-90B Entropy Estimation Suite]
/// (https://github.com/usnistgov/SP800-90B_EntropyAssessment).
///
/// This is the recommended way to test the quality of `JitterRng`. It
/// should be run before using the RNG on untested hardware, after changes
/// that could effect how the code is optimised, and after major compiler
/// compiler changes, like a new LLVM version.
///
/// First generate two files `jitter_rng_var.bin` and `jitter_rng_var.min`.
///
/// Execute `python noniid_main.py -v jitter_rng_var.bin 8`, and validate it
/// with `restart.py -v jitter_rng_var.bin 8 <min-entropy>`.
/// This number is the expected amount of entropy that is at least available
/// for each round of the entropy collector. This number should be greater
/// than the amount estimated with `64 / test_timer()`.
///
/// Execute `python noniid_main.py -v -u 4 jitter_rng_var.bin 4`, and
/// validate it with `restart.py -v -u 4 jitter_rng_var.bin 4 <min-entropy>`.
/// This number is the expected amount of entropy that is available in the
/// last 4 bits of the timer delta after running noice sources. Note that
/// a value of 3.70 is the minimum estimated entropy for true randomness.
///
/// Execute `python noniid_main.py -v -u 4 jitter_rng_var.bin 4`, and
/// validate it with `restart.py -v -u 4 jitter_rng_var.bin 4 <min-entropy>`.
/// This number is the expected amount of entropy that is available to the
/// entropy collecter if both noice sources only run their minimal number of
/// times. This measures the absolute worst-case, and gives a lower bound
/// for the available entropy.
///
/// ```rust,no_run
/// use rand::JitterRng;
///
/// # use std::error::Error;
/// # use std::fs::File;
/// # use std::io::Write;
/// #
/// # fn try_main() -> Result<(), Box<Error>> {
/// fn get_nstime() -> u64 {
/// use std::time::{SystemTime, UNIX_EPOCH};
///
/// let dur = SystemTime::now().duration_since(UNIX_EPOCH).unwrap();
/// // The correct way to calculate the current time is
/// // `dur.as_secs() * 1_000_000_000 + dur.subsec_nanos() as u64`
/// // But this is faster, and the difference in terms of entropy is
/// // negligible (log2(10^9) == 29.9).
/// dur.as_secs() << 30 | dur.subsec_nanos() as u64
/// }
///
/// // Do not initialize with `JitterRng::new`, but with `new_with_timer`.
/// // 'new' always runst `test_timer`, and can therefore fail to
/// // initialize. We want to be able to get the statistics even when the
/// // timer test fails.
/// let mut rng = JitterRng::new_with_timer(get_nstime);
///
/// // 1_000_000 results are required for the NIST SP 800-90B Entropy
/// // Estimation Suite
/// // FIXME: this number is smaller here, otherwise the Doc-test is too slow
/// const ROUNDS: usize = 10_000;
/// let mut deltas_variable: Vec<u8> = Vec::with_capacity(ROUNDS);
/// let mut deltas_minimal: Vec<u8> = Vec::with_capacity(ROUNDS);
///
/// for _ in 0..ROUNDS {
/// deltas_variable.push(rng.timer_stats(true) as u8);
/// deltas_minimal.push(rng.timer_stats(false) as u8);
/// }
///
/// // Write out after the statistics collection loop, to not disturb the
/// // test results.
/// File::create("jitter_rng_var.bin")?.write(&deltas_variable)?;
/// File::create("jitter_rng_min.bin")?.write(&deltas_minimal)?;
/// #
/// # Ok(())
/// # }
/// #
/// # fn main() {
/// # try_main().unwrap();
/// # }
/// ```
#[cfg(feature="std")]
pub fn timer_stats(&mut self, var_rounds: bool) -> i64 {
let time = platform::get_nstime();
self.memaccess(var_rounds);
self.lfsr_time(time, var_rounds);
let time2 = platform::get_nstime();
time2.wrapping_sub(time) as i64
}
}
#[cfg(feature="std")]
mod platform {
#[cfg(not(any(target_os = "macos", target_os = "ios", target_os = "windows", all(target_arch = "wasm32", not(target_os = "emscripten")))))]
pub fn get_nstime() -> u64 {
use std::time::{SystemTime, UNIX_EPOCH};
let dur = SystemTime::now().duration_since(UNIX_EPOCH).unwrap();
// The correct way to calculate the current time is
// `dur.as_secs() * 1_000_000_000 + dur.subsec_nanos() as u64`
// But this is faster, and the difference in terms of entropy is negligible
// (log2(10^9) == 29.9).
dur.as_secs() << 30 | dur.subsec_nanos() as u64
}
#[cfg(any(target_os = "macos", target_os = "ios"))]
pub fn get_nstime() -> u64 {
extern crate libc;
// On Mac OS and iOS std::time::SystemTime only has 1000ns resolution.
// We use `mach_absolute_time` instead. This provides a CPU dependent unit,
// to get real nanoseconds the result should by multiplied by numer/denom
// from `mach_timebase_info`.
// But we are not interested in the exact nanoseconds, just entropy. So we
// use the raw result.
unsafe { libc::mach_absolute_time() }
}
#[cfg(target_os = "windows")]
pub fn get_nstime() -> u64 {
extern crate winapi;
unsafe {
let mut t = super::mem::zeroed();
winapi::um::profileapi::QueryPerformanceCounter(&mut t);
*t.QuadPart() as u64
}
}
#[cfg(all(target_arch = "wasm32", not(target_os = "emscripten")))]
pub fn get_nstime() -> u64 {
unreachable!()
}
}
// A function that is opaque to the optimizer to assist in avoiding dead-code
// elimination. Taken from `bencher`.
fn black_box<T>(dummy: T) -> T {
unsafe {
let ret = ptr::read_volatile(&dummy);
mem::forget(dummy);
ret
}
}
impl Rng for JitterRng {
fn next_u32(&mut self) -> u32 {
// We want to use both parts of the generated entropy
if let Some(high) = self.data_remaining.take() {
high
} else {
let data = self.next_u64();
self.data_remaining = Some((data >> 32) as u32);
data as u32
}
}
fn next_u64(&mut self) -> u64 {
self.gen_entropy()
}
fn fill_bytes(&mut self, dest: &mut [u8]) {
let mut left = dest;
while left.len() >= 8 {
let (l, r) = {left}.split_at_mut(8);
left = r;
let chunk: [u8; 8] = unsafe {
mem::transmute(self.next_u64().to_le())
};
l.copy_from_slice(&chunk);
}
let n = left.len();
if n > 0 {
let chunk: [u8; 8] = unsafe {
mem::transmute(self.next_u64().to_le())
};
left.copy_from_slice(&chunk[..n]);
}
}
}
// There are no tests included because (1) this is an "external" RNG, so output
// is not reproducible and (2) `test_timer` *will* fail on some platforms.

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@ -1,656 +0,0 @@
// Copyright 2013-2015 The Rust Project Developers. See the COPYRIGHT
// file at the top-level directory of this distribution and at
// http://rust-lang.org/COPYRIGHT.
//
// Licensed under the Apache License, Version 2.0 <LICENSE-APACHE or
// http://www.apache.org/licenses/LICENSE-2.0> or the MIT license
// <LICENSE-MIT or http://opensource.org/licenses/MIT>, at your
// option. This file may not be copied, modified, or distributed
// except according to those terms.
//! Interfaces to the operating system provided random number
//! generators.
use std::{io, fmt};
#[cfg(not(target_env = "sgx"))]
use std::mem;
use Rng;
/// A random number generator that retrieves randomness straight from
/// the operating system. Platform sources:
///
/// - Unix-like systems (Linux, Android, Mac OSX): read directly from
/// `/dev/urandom`, or from `getrandom(2)` system call if available.
/// - OpenBSD: calls `getentropy(2)`
/// - FreeBSD: uses the `kern.arandom` `sysctl(2)` mib
/// - Windows: calls `RtlGenRandom`, exported from `advapi32.dll` as
/// `SystemFunction036`.
/// - iOS: calls SecRandomCopyBytes as /dev/(u)random is sandboxed.
/// - PNaCl: calls into the `nacl-irt-random-0.1` IRT interface.
///
/// This usually does not block. On some systems (e.g. FreeBSD, OpenBSD,
/// Max OS X, and modern Linux) this may block very early in the init
/// process, if the CSPRNG has not been seeded yet.[1]
///
/// [1] See <https://www.python.org/dev/peps/pep-0524/> for a more
/// in-depth discussion.
pub struct OsRng(imp::OsRng);
impl OsRng {
/// Create a new `OsRng`.
pub fn new() -> io::Result<OsRng> {
imp::OsRng::new().map(OsRng)
}
}
impl Rng for OsRng {
fn next_u32(&mut self) -> u32 { self.0.next_u32() }
fn next_u64(&mut self) -> u64 { self.0.next_u64() }
fn fill_bytes(&mut self, v: &mut [u8]) { self.0.fill_bytes(v) }
}
impl fmt::Debug for OsRng {
fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result {
write!(f, "OsRng {{}}")
}
}
#[cfg(not(target_env = "sgx"))]
fn next_u32(fill_buf: &mut FnMut(&mut [u8])) -> u32 {
let mut buf: [u8; 4] = [0; 4];
fill_buf(&mut buf);
unsafe { mem::transmute::<[u8; 4], u32>(buf) }
}
#[cfg(not(target_env = "sgx"))]
fn next_u64(fill_buf: &mut FnMut(&mut [u8])) -> u64 {
let mut buf: [u8; 8] = [0; 8];
fill_buf(&mut buf);
unsafe { mem::transmute::<[u8; 8], u64>(buf) }
}
#[cfg(all(unix, not(target_os = "ios"),
not(target_os = "nacl"),
not(target_os = "freebsd"),
not(target_os = "fuchsia"),
not(target_os = "openbsd"),
not(target_os = "redox")))]
mod imp {
extern crate libc;
use super::{next_u32, next_u64};
use self::OsRngInner::*;
use std::io;
use std::fs::File;
use Rng;
use read::ReadRng;
#[cfg(all(target_os = "linux",
any(target_arch = "x86_64",
target_arch = "x86",
target_arch = "arm",
target_arch = "aarch64",
target_arch = "powerpc")))]
fn getrandom(buf: &mut [u8]) -> libc::c_long {
extern "C" {
fn syscall(number: libc::c_long, ...) -> libc::c_long;
}
#[cfg(target_arch = "x86_64")]
const NR_GETRANDOM: libc::c_long = 318;
#[cfg(target_arch = "x86")]
const NR_GETRANDOM: libc::c_long = 355;
#[cfg(target_arch = "arm")]
const NR_GETRANDOM: libc::c_long = 384;
#[cfg(target_arch = "aarch64")]
const NR_GETRANDOM: libc::c_long = 278;
#[cfg(target_arch = "powerpc")]
const NR_GETRANDOM: libc::c_long = 359;
unsafe {
syscall(NR_GETRANDOM, buf.as_mut_ptr(), buf.len(), 0)
}
}
#[cfg(not(all(target_os = "linux",
any(target_arch = "x86_64",
target_arch = "x86",
target_arch = "arm",
target_arch = "aarch64",
target_arch = "powerpc"))))]
fn getrandom(_buf: &mut [u8]) -> libc::c_long { -1 }
fn getrandom_fill_bytes(v: &mut [u8]) {
let mut read = 0;
let len = v.len();
while read < len {
let result = getrandom(&mut v[read..]);
if result == -1 {
let err = io::Error::last_os_error();
if err.kind() == io::ErrorKind::Interrupted {
continue
} else {
panic!("unexpected getrandom error: {}", err);
}
} else {
read += result as usize;
}
}
}
#[cfg(all(target_os = "linux",
any(target_arch = "x86_64",
target_arch = "x86",
target_arch = "arm",
target_arch = "aarch64",
target_arch = "powerpc")))]
fn is_getrandom_available() -> bool {
use std::sync::atomic::{AtomicBool, ATOMIC_BOOL_INIT, Ordering};
use std::sync::{Once, ONCE_INIT};
static CHECKER: Once = ONCE_INIT;
static AVAILABLE: AtomicBool = ATOMIC_BOOL_INIT;
CHECKER.call_once(|| {
let mut buf: [u8; 0] = [];
let result = getrandom(&mut buf);
let available = if result == -1 {
let err = io::Error::last_os_error().raw_os_error();
err != Some(libc::ENOSYS)
} else {
true
};
AVAILABLE.store(available, Ordering::Relaxed);
});
AVAILABLE.load(Ordering::Relaxed)
}
#[cfg(not(all(target_os = "linux",
any(target_arch = "x86_64",
target_arch = "x86",
target_arch = "arm",
target_arch = "aarch64",
target_arch = "powerpc"))))]
fn is_getrandom_available() -> bool { false }
pub struct OsRng {
inner: OsRngInner,
}
enum OsRngInner {
OsGetrandomRng,
OsReadRng(ReadRng<File>),
}
impl OsRng {
pub fn new() -> io::Result<OsRng> {
if is_getrandom_available() {
return Ok(OsRng { inner: OsGetrandomRng });
}
let reader = try!(File::open("/dev/urandom"));
let reader_rng = ReadRng::new(reader);
Ok(OsRng { inner: OsReadRng(reader_rng) })
}
}
impl Rng for OsRng {
fn next_u32(&mut self) -> u32 {
match self.inner {
OsGetrandomRng => next_u32(&mut getrandom_fill_bytes),
OsReadRng(ref mut rng) => rng.next_u32(),
}
}
fn next_u64(&mut self) -> u64 {
match self.inner {
OsGetrandomRng => next_u64(&mut getrandom_fill_bytes),
OsReadRng(ref mut rng) => rng.next_u64(),
}
}
fn fill_bytes(&mut self, v: &mut [u8]) {
match self.inner {
OsGetrandomRng => getrandom_fill_bytes(v),
OsReadRng(ref mut rng) => rng.fill_bytes(v)
}
}
}
}
#[cfg(target_os = "ios")]
mod imp {
extern crate libc;
use super::{next_u32, next_u64};
use std::io;
use Rng;
use self::libc::{c_int, size_t};
#[derive(Debug)]
pub struct OsRng;
enum SecRandom {}
#[allow(non_upper_case_globals)]
const kSecRandomDefault: *const SecRandom = 0 as *const SecRandom;
#[link(name = "Security", kind = "framework")]
extern {
fn SecRandomCopyBytes(rnd: *const SecRandom,
count: size_t, bytes: *mut u8) -> c_int;
}
impl OsRng {
pub fn new() -> io::Result<OsRng> {
Ok(OsRng)
}
}
impl Rng for OsRng {
fn next_u32(&mut self) -> u32 {
next_u32(&mut |v| self.fill_bytes(v))
}
fn next_u64(&mut self) -> u64 {
next_u64(&mut |v| self.fill_bytes(v))
}
fn fill_bytes(&mut self, v: &mut [u8]) {
let ret = unsafe {
SecRandomCopyBytes(kSecRandomDefault, v.len() as size_t, v.as_mut_ptr())
};
if ret == -1 {
panic!("couldn't generate random bytes: {}", io::Error::last_os_error());
}
}
}
}
#[cfg(target_os = "freebsd")]
mod imp {
extern crate libc;
use std::{io, ptr};
use Rng;
use super::{next_u32, next_u64};
#[derive(Debug)]
pub struct OsRng;
impl OsRng {
pub fn new() -> io::Result<OsRng> {
Ok(OsRng)
}
}
impl Rng for OsRng {
fn next_u32(&mut self) -> u32 {
next_u32(&mut |v| self.fill_bytes(v))
}
fn next_u64(&mut self) -> u64 {
next_u64(&mut |v| self.fill_bytes(v))
}
fn fill_bytes(&mut self, v: &mut [u8]) {
let mib = [libc::CTL_KERN, libc::KERN_ARND];
// kern.arandom permits a maximum buffer size of 256 bytes
for s in v.chunks_mut(256) {
let mut s_len = s.len();
let ret = unsafe {
libc::sysctl(mib.as_ptr(), mib.len() as libc::c_uint,
s.as_mut_ptr() as *mut _, &mut s_len,
ptr::null(), 0)
};
if ret == -1 || s_len != s.len() {
panic!("kern.arandom sysctl failed! (returned {}, s.len() {}, oldlenp {})",
ret, s.len(), s_len);
}
}
}
}
}
#[cfg(target_os = "openbsd")]
mod imp {
extern crate libc;
use std::io;
use Rng;
use super::{next_u32, next_u64};
#[derive(Debug)]
pub struct OsRng;
impl OsRng {
pub fn new() -> io::Result<OsRng> {
Ok(OsRng)
}
}
impl Rng for OsRng {
fn next_u32(&mut self) -> u32 {
next_u32(&mut |v| self.fill_bytes(v))
}
fn next_u64(&mut self) -> u64 {
next_u64(&mut |v| self.fill_bytes(v))
}
fn fill_bytes(&mut self, v: &mut [u8]) {
// getentropy(2) permits a maximum buffer size of 256 bytes
for s in v.chunks_mut(256) {
let ret = unsafe {
libc::getentropy(s.as_mut_ptr() as *mut libc::c_void, s.len())
};
if ret == -1 {
let err = io::Error::last_os_error();
panic!("getentropy failed: {}", err);
}
}
}
}
}
#[cfg(target_os = "redox")]
mod imp {
use std::io;
use std::fs::File;
use Rng;
use read::ReadRng;
#[derive(Debug)]
pub struct OsRng {
inner: ReadRng<File>,
}
impl OsRng {
pub fn new() -> io::Result<OsRng> {
let reader = try!(File::open("rand:"));
let reader_rng = ReadRng::new(reader);
Ok(OsRng { inner: reader_rng })
}
}
impl Rng for OsRng {
fn next_u32(&mut self) -> u32 {
self.inner.next_u32()
}
fn next_u64(&mut self) -> u64 {
self.inner.next_u64()
}
fn fill_bytes(&mut self, v: &mut [u8]) {
self.inner.fill_bytes(v)
}
}
}
#[cfg(target_os = "fuchsia")]
mod imp {
extern crate fuchsia_cprng;
use std::io;
use Rng;
use super::{next_u32, next_u64};
#[derive(Debug)]
pub struct OsRng;
impl OsRng {
pub fn new() -> io::Result<OsRng> {
Ok(OsRng)
}
}
impl Rng for OsRng {
fn next_u32(&mut self) -> u32 {
next_u32(&mut |v| self.fill_bytes(v))
}
fn next_u64(&mut self) -> u64 {
next_u64(&mut |v| self.fill_bytes(v))
}
fn fill_bytes(&mut self, v: &mut [u8]) {
fuchsia_cprng::cprng_draw(v);
}
}
}
#[cfg(windows)]
mod imp {
extern crate winapi;
use std::io;
use Rng;
use super::{next_u32, next_u64};
use self::winapi::shared::minwindef::ULONG;
use self::winapi::um::ntsecapi::RtlGenRandom;
use self::winapi::um::winnt::PVOID;
#[derive(Debug)]
pub struct OsRng;
impl OsRng {
pub fn new() -> io::Result<OsRng> {
Ok(OsRng)
}
}
impl Rng for OsRng {
fn next_u32(&mut self) -> u32 {
next_u32(&mut |v| self.fill_bytes(v))
}
fn next_u64(&mut self) -> u64 {
next_u64(&mut |v| self.fill_bytes(v))
}
fn fill_bytes(&mut self, v: &mut [u8]) {
// RtlGenRandom takes an ULONG (u32) for the length so we need to
// split up the buffer.
for slice in v.chunks_mut(<ULONG>::max_value() as usize) {
let ret = unsafe {
RtlGenRandom(slice.as_mut_ptr() as PVOID, slice.len() as ULONG)
};
if ret == 0 {
panic!("couldn't generate random bytes: {}",
io::Error::last_os_error());
}
}
}
}
}
#[cfg(target_os = "nacl")]
mod imp {
extern crate libc;
use std::io;
use std::mem;
use Rng;
use super::{next_u32, next_u64};
#[derive(Debug)]
pub struct OsRng(extern fn(dest: *mut libc::c_void,
bytes: libc::size_t,
read: *mut libc::size_t) -> libc::c_int);
extern {
fn nacl_interface_query(name: *const libc::c_char,
table: *mut libc::c_void,
table_size: libc::size_t) -> libc::size_t;
}
const INTERFACE: &'static [u8] = b"nacl-irt-random-0.1\0";
#[repr(C)]
struct NaClIRTRandom {
get_random_bytes: Option<extern fn(dest: *mut libc::c_void,
bytes: libc::size_t,
read: *mut libc::size_t) -> libc::c_int>,
}
impl OsRng {
pub fn new() -> io::Result<OsRng> {
let mut iface = NaClIRTRandom {
get_random_bytes: None,
};
let result = unsafe {
nacl_interface_query(INTERFACE.as_ptr() as *const _,
mem::transmute(&mut iface),
mem::size_of::<NaClIRTRandom>() as libc::size_t)
};
if result != 0 {
assert!(iface.get_random_bytes.is_some());
let result = OsRng(iface.get_random_bytes.take().unwrap());
Ok(result)
} else {
let error = io::ErrorKind::NotFound;
let error = io::Error::new(error, "IRT random interface missing");
Err(error)
}
}
}
impl Rng for OsRng {
fn next_u32(&mut self) -> u32 {
next_u32(&mut |v| self.fill_bytes(v))
}
fn next_u64(&mut self) -> u64 {
next_u64(&mut |v| self.fill_bytes(v))
}
fn fill_bytes(&mut self, v: &mut [u8]) {
let mut read = 0;
loop {
let mut r: libc::size_t = 0;
let len = v.len();
let error = (self.0)(v[read..].as_mut_ptr() as *mut _,
(len - read) as libc::size_t,
&mut r as *mut _);
assert!(error == 0, "`get_random_bytes` failed!");
read += r as usize;
if read >= v.len() { break; }
}
}
}
}
#[cfg(all(target_arch = "wasm32", not(target_os = "emscripten")))]
mod imp {
use std::io;
use Rng;
#[derive(Debug)]
pub struct OsRng;
impl OsRng {
pub fn new() -> io::Result<OsRng> {
Err(io::Error::new(io::ErrorKind::Other, "Not supported"))
}
}
impl Rng for OsRng {
fn next_u32(&mut self) -> u32 {
panic!("Not supported")
}
}
}
#[cfg(target_env = "sgx")]
mod imp {
use rdrand::RdRand;
use std::io;
use rand_core::RngCore;
pub struct OsRng{
gen: RdRand
}
impl OsRng {
pub fn new() -> io::Result<OsRng> {
match RdRand::new() {
Ok(rng) => Ok(OsRng { gen: rng }),
Err(_) => Err(io::Error::new(io::ErrorKind::Other, "Not supported"))
}
}
pub(crate) fn next_u32(&mut self) -> u32 {
match self.gen.try_next_u32() {
Some(n) => n,
None => panic!("Non-recoverable hardware failure has occured")
}
}
pub(crate) fn next_u64(&mut self) -> u64 {
match self.gen.try_next_u64() {
Some(n) => n,
None => panic!("Non-recoverable hardware failure has occured")
}
}
pub(crate) fn fill_bytes(&mut self, v: &mut [u8]) {
match self.gen.try_fill_bytes(v) {
Ok(_) => {},
Err(_) => panic!("Non-recoverable hardware failure has occured")
}
}
}
}
#[cfg(test)]
mod test {
use std::sync::mpsc::channel;
use Rng;
use OsRng;
use std::thread;
#[test]
fn test_os_rng() {
let mut r = OsRng::new().unwrap();
r.next_u32();
r.next_u64();
let mut v = [0u8; 1000];
r.fill_bytes(&mut v);
}
#[test]
fn test_os_rng_tasks() {
let mut txs = vec!();
for _ in 0..20 {
let (tx, rx) = channel();
txs.push(tx);
thread::spawn(move|| {
// wait until all the tasks are ready to go.
rx.recv().unwrap();
// deschedule to attempt to interleave things as much
// as possible (XXX: is this a good test?)
let mut r = OsRng::new().unwrap();
thread::yield_now();
let mut v = [0u8; 1000];
for _ in 0..100 {
r.next_u32();
thread::yield_now();
r.next_u64();
thread::yield_now();
r.fill_bytes(&mut v);
thread::yield_now();
}
});
}
// start all the tasks
for tx in txs.iter() {
tx.send(()).unwrap();
}
}
}

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third_party/rust/rand-0.4.6/src/prng/chacha.rs поставляемый
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@ -1,321 +0,0 @@
// Copyright 2014 The Rust Project Developers. See the COPYRIGHT
// file at the top-level directory of this distribution and at
// http://rust-lang.org/COPYRIGHT.
//
// Licensed under the Apache License, Version 2.0 <LICENSE-APACHE or
// http://www.apache.org/licenses/LICENSE-2.0> or the MIT license
// <LICENSE-MIT or http://opensource.org/licenses/MIT>, at your
// option. This file may not be copied, modified, or distributed
// except according to those terms.
//! The ChaCha random number generator.
use core::num::Wrapping as w;
use {Rng, SeedableRng, Rand};
#[allow(bad_style)]
type w32 = w<u32>;
const KEY_WORDS : usize = 8; // 8 words for the 256-bit key
const STATE_WORDS : usize = 16;
const CHACHA_ROUNDS: u32 = 20; // Cryptographically secure from 8 upwards as of this writing
/// A random number generator that uses the ChaCha20 algorithm [1].
///
/// The ChaCha algorithm is widely accepted as suitable for
/// cryptographic purposes, but this implementation has not been
/// verified as such. Prefer a generator like `OsRng` that defers to
/// the operating system for cases that need high security.
///
/// [1]: D. J. Bernstein, [*ChaCha, a variant of
/// Salsa20*](http://cr.yp.to/chacha.html)
#[derive(Copy, Clone, Debug)]
pub struct ChaChaRng {
buffer: [w32; STATE_WORDS], // Internal buffer of output
state: [w32; STATE_WORDS], // Initial state
index: usize, // Index into state
}
static EMPTY: ChaChaRng = ChaChaRng {
buffer: [w(0); STATE_WORDS],
state: [w(0); STATE_WORDS],
index: STATE_WORDS
};
macro_rules! quarter_round{
($a: expr, $b: expr, $c: expr, $d: expr) => {{
$a = $a + $b; $d = $d ^ $a; $d = w($d.0.rotate_left(16));
$c = $c + $d; $b = $b ^ $c; $b = w($b.0.rotate_left(12));
$a = $a + $b; $d = $d ^ $a; $d = w($d.0.rotate_left( 8));
$c = $c + $d; $b = $b ^ $c; $b = w($b.0.rotate_left( 7));
}}
}
macro_rules! double_round{
($x: expr) => {{
// Column round
quarter_round!($x[ 0], $x[ 4], $x[ 8], $x[12]);
quarter_round!($x[ 1], $x[ 5], $x[ 9], $x[13]);
quarter_round!($x[ 2], $x[ 6], $x[10], $x[14]);
quarter_round!($x[ 3], $x[ 7], $x[11], $x[15]);
// Diagonal round
quarter_round!($x[ 0], $x[ 5], $x[10], $x[15]);
quarter_round!($x[ 1], $x[ 6], $x[11], $x[12]);
quarter_round!($x[ 2], $x[ 7], $x[ 8], $x[13]);
quarter_round!($x[ 3], $x[ 4], $x[ 9], $x[14]);
}}
}
#[inline]
fn core(output: &mut [w32; STATE_WORDS], input: &[w32; STATE_WORDS]) {
*output = *input;
for _ in 0..CHACHA_ROUNDS / 2 {
double_round!(output);
}
for i in 0..STATE_WORDS {
output[i] = output[i] + input[i];
}
}
impl ChaChaRng {
/// Create an ChaCha random number generator using the default
/// fixed key of 8 zero words.
///
/// # Examples
///
/// ```rust
/// use rand::{Rng, ChaChaRng};
///
/// let mut ra = ChaChaRng::new_unseeded();
/// println!("{:?}", ra.next_u32());
/// println!("{:?}", ra.next_u32());
/// ```
///
/// Since this equivalent to a RNG with a fixed seed, repeated executions
/// of an unseeded RNG will produce the same result. This code sample will
/// consistently produce:
///
/// - 2917185654
/// - 2419978656
pub fn new_unseeded() -> ChaChaRng {
let mut rng = EMPTY;
rng.init(&[0; KEY_WORDS]);
rng
}
/// Sets the internal 128-bit ChaCha counter to
/// a user-provided value. This permits jumping
/// arbitrarily ahead (or backwards) in the pseudorandom stream.
///
/// Since the nonce words are used to extend the counter to 128 bits,
/// users wishing to obtain the conventional ChaCha pseudorandom stream
/// associated with a particular nonce can call this function with
/// arguments `0, desired_nonce`.
///
/// # Examples
///
/// ```rust
/// use rand::{Rng, ChaChaRng};
///
/// let mut ra = ChaChaRng::new_unseeded();
/// ra.set_counter(0u64, 1234567890u64);
/// println!("{:?}", ra.next_u32());
/// println!("{:?}", ra.next_u32());
/// ```
pub fn set_counter(&mut self, counter_low: u64, counter_high: u64) {
self.state[12] = w((counter_low >> 0) as u32);
self.state[13] = w((counter_low >> 32) as u32);
self.state[14] = w((counter_high >> 0) as u32);
self.state[15] = w((counter_high >> 32) as u32);
self.index = STATE_WORDS; // force recomputation
}
/// Initializes `self.state` with the appropriate key and constants
///
/// We deviate slightly from the ChaCha specification regarding
/// the nonce, which is used to extend the counter to 128 bits.
/// This is provably as strong as the original cipher, though,
/// since any distinguishing attack on our variant also works
/// against ChaCha with a chosen-nonce. See the XSalsa20 [1]
/// security proof for a more involved example of this.
///
/// The modified word layout is:
/// ```text
/// constant constant constant constant
/// key key key key
/// key key key key
/// counter counter counter counter
/// ```
/// [1]: Daniel J. Bernstein. [*Extending the Salsa20
/// nonce.*](http://cr.yp.to/papers.html#xsalsa)
fn init(&mut self, key: &[u32; KEY_WORDS]) {
self.state[0] = w(0x61707865);
self.state[1] = w(0x3320646E);
self.state[2] = w(0x79622D32);
self.state[3] = w(0x6B206574);
for i in 0..KEY_WORDS {
self.state[4+i] = w(key[i]);
}
self.state[12] = w(0);
self.state[13] = w(0);
self.state[14] = w(0);
self.state[15] = w(0);
self.index = STATE_WORDS;
}
/// Refill the internal output buffer (`self.buffer`)
fn update(&mut self) {
core(&mut self.buffer, &self.state);
self.index = 0;
// update 128-bit counter
self.state[12] = self.state[12] + w(1);
if self.state[12] != w(0) { return };
self.state[13] = self.state[13] + w(1);
if self.state[13] != w(0) { return };
self.state[14] = self.state[14] + w(1);
if self.state[14] != w(0) { return };
self.state[15] = self.state[15] + w(1);
}
}
impl Rng for ChaChaRng {
#[inline]
fn next_u32(&mut self) -> u32 {
if self.index == STATE_WORDS {
self.update();
}
let value = self.buffer[self.index % STATE_WORDS];
self.index += 1;
value.0
}
}
impl<'a> SeedableRng<&'a [u32]> for ChaChaRng {
fn reseed(&mut self, seed: &'a [u32]) {
// reset state
self.init(&[0u32; KEY_WORDS]);
// set key in place
let key = &mut self.state[4 .. 4+KEY_WORDS];
for (k, s) in key.iter_mut().zip(seed.iter()) {
*k = w(*s);
}
}
/// Create a ChaCha generator from a seed,
/// obtained from a variable-length u32 array.
/// Only up to 8 words are used; if less than 8
/// words are used, the remaining are set to zero.
fn from_seed(seed: &'a [u32]) -> ChaChaRng {
let mut rng = EMPTY;
rng.reseed(seed);
rng
}
}
impl Rand for ChaChaRng {
fn rand<R: Rng>(other: &mut R) -> ChaChaRng {
let mut key : [u32; KEY_WORDS] = [0; KEY_WORDS];
for word in key.iter_mut() {
*word = other.gen();
}
SeedableRng::from_seed(&key[..])
}
}
#[cfg(test)]
mod test {
use {Rng, SeedableRng};
use super::ChaChaRng;
#[test]
fn test_rng_rand_seeded() {
let s = ::test::rng().gen_iter::<u32>().take(8).collect::<Vec<u32>>();
let mut ra: ChaChaRng = SeedableRng::from_seed(&s[..]);
let mut rb: ChaChaRng = SeedableRng::from_seed(&s[..]);
assert!(::test::iter_eq(ra.gen_ascii_chars().take(100),
rb.gen_ascii_chars().take(100)));
}
#[test]
fn test_rng_seeded() {
let seed : &[_] = &[0,1,2,3,4,5,6,7];
let mut ra: ChaChaRng = SeedableRng::from_seed(seed);
let mut rb: ChaChaRng = SeedableRng::from_seed(seed);
assert!(::test::iter_eq(ra.gen_ascii_chars().take(100),
rb.gen_ascii_chars().take(100)));
}
#[test]
fn test_rng_reseed() {
let s = ::test::rng().gen_iter::<u32>().take(8).collect::<Vec<u32>>();
let mut r: ChaChaRng = SeedableRng::from_seed(&s[..]);
let string1: String = r.gen_ascii_chars().take(100).collect();
r.reseed(&s);
let string2: String = r.gen_ascii_chars().take(100).collect();
assert_eq!(string1, string2);
}
#[test]
fn test_rng_true_values() {
// Test vectors 1 and 2 from
// http://tools.ietf.org/html/draft-nir-cfrg-chacha20-poly1305-04
let seed : &[_] = &[0u32; 8];
let mut ra: ChaChaRng = SeedableRng::from_seed(seed);
let v = (0..16).map(|_| ra.next_u32()).collect::<Vec<_>>();
assert_eq!(v,
vec!(0xade0b876, 0x903df1a0, 0xe56a5d40, 0x28bd8653,
0xb819d2bd, 0x1aed8da0, 0xccef36a8, 0xc70d778b,
0x7c5941da, 0x8d485751, 0x3fe02477, 0x374ad8b8,
0xf4b8436a, 0x1ca11815, 0x69b687c3, 0x8665eeb2));
let v = (0..16).map(|_| ra.next_u32()).collect::<Vec<_>>();
assert_eq!(v,
vec!(0xbee7079f, 0x7a385155, 0x7c97ba98, 0x0d082d73,
0xa0290fcb, 0x6965e348, 0x3e53c612, 0xed7aee32,
0x7621b729, 0x434ee69c, 0xb03371d5, 0xd539d874,
0x281fed31, 0x45fb0a51, 0x1f0ae1ac, 0x6f4d794b));
let seed : &[_] = &[0,1,2,3,4,5,6,7];
let mut ra: ChaChaRng = SeedableRng::from_seed(seed);
// Store the 17*i-th 32-bit word,
// i.e., the i-th word of the i-th 16-word block
let mut v : Vec<u32> = Vec::new();
for _ in 0..16 {
v.push(ra.next_u32());
for _ in 0..16 {
ra.next_u32();
}
}
assert_eq!(v,
vec!(0xf225c81a, 0x6ab1be57, 0x04d42951, 0x70858036,
0x49884684, 0x64efec72, 0x4be2d186, 0x3615b384,
0x11cfa18e, 0xd3c50049, 0x75c775f6, 0x434c6530,
0x2c5bad8f, 0x898881dc, 0x5f1c86d9, 0xc1f8e7f4));
}
#[test]
fn test_rng_clone() {
let seed : &[_] = &[0u32; 8];
let mut rng: ChaChaRng = SeedableRng::from_seed(seed);
let mut clone = rng.clone();
for _ in 0..16 {
assert_eq!(rng.next_u64(), clone.next_u64());
}
}
}

328
third_party/rust/rand-0.4.6/src/prng/isaac.rs поставляемый
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@ -1,328 +0,0 @@
// Copyright 2013 The Rust Project Developers. See the COPYRIGHT
// file at the top-level directory of this distribution and at
// http://rust-lang.org/COPYRIGHT.
//
// Licensed under the Apache License, Version 2.0 <LICENSE-APACHE or
// http://www.apache.org/licenses/LICENSE-2.0> or the MIT license
// <LICENSE-MIT or http://opensource.org/licenses/MIT>, at your
// option. This file may not be copied, modified, or distributed
// except according to those terms.
//! The ISAAC random number generator.
#![allow(non_camel_case_types)]
use core::slice;
use core::iter::repeat;
use core::num::Wrapping as w;
use core::fmt;
use {Rng, SeedableRng, Rand};
#[allow(bad_style)]
type w32 = w<u32>;
const RAND_SIZE_LEN: usize = 8;
const RAND_SIZE: u32 = 1 << RAND_SIZE_LEN;
const RAND_SIZE_USIZE: usize = 1 << RAND_SIZE_LEN;
/// A random number generator that uses the ISAAC algorithm[1].
///
/// The ISAAC algorithm is generally accepted as suitable for
/// cryptographic purposes, but this implementation has not be
/// verified as such. Prefer a generator like `OsRng` that defers to
/// the operating system for cases that need high security.
///
/// [1]: Bob Jenkins, [*ISAAC: A fast cryptographic random number
/// generator*](http://www.burtleburtle.net/bob/rand/isaacafa.html)
#[derive(Copy)]
pub struct IsaacRng {
cnt: u32,
rsl: [w32; RAND_SIZE_USIZE],
mem: [w32; RAND_SIZE_USIZE],
a: w32,
b: w32,
c: w32,
}
static EMPTY: IsaacRng = IsaacRng {
cnt: 0,
rsl: [w(0); RAND_SIZE_USIZE],
mem: [w(0); RAND_SIZE_USIZE],
a: w(0), b: w(0), c: w(0),
};
impl IsaacRng {
/// Create an ISAAC random number generator using the default
/// fixed seed.
pub fn new_unseeded() -> IsaacRng {
let mut rng = EMPTY;
rng.init(false);
rng
}
/// Initialises `self`. If `use_rsl` is true, then use the current value
/// of `rsl` as a seed, otherwise construct one algorithmically (not
/// randomly).
fn init(&mut self, use_rsl: bool) {
let mut a = w(0x9e3779b9);
let mut b = a;
let mut c = a;
let mut d = a;
let mut e = a;
let mut f = a;
let mut g = a;
let mut h = a;
macro_rules! mix {
() => {{
a=a^(b<<11); d=d+a; b=b+c;
b=b^(c>>2); e=e+b; c=c+d;
c=c^(d<<8); f=f+c; d=d+e;
d=d^(e>>16); g=g+d; e=e+f;
e=e^(f<<10); h=h+e; f=f+g;
f=f^(g>>4); a=a+f; g=g+h;
g=g^(h<<8); b=b+g; h=h+a;
h=h^(a>>9); c=c+h; a=a+b;
}}
}
for _ in 0..4 {
mix!();
}
if use_rsl {
macro_rules! memloop {
($arr:expr) => {{
for i in (0..RAND_SIZE_USIZE/8).map(|i| i * 8) {
a=a+$arr[i ]; b=b+$arr[i+1];
c=c+$arr[i+2]; d=d+$arr[i+3];
e=e+$arr[i+4]; f=f+$arr[i+5];
g=g+$arr[i+6]; h=h+$arr[i+7];
mix!();
self.mem[i ]=a; self.mem[i+1]=b;
self.mem[i+2]=c; self.mem[i+3]=d;
self.mem[i+4]=e; self.mem[i+5]=f;
self.mem[i+6]=g; self.mem[i+7]=h;
}
}}
}
memloop!(self.rsl);
memloop!(self.mem);
} else {
for i in (0..RAND_SIZE_USIZE/8).map(|i| i * 8) {
mix!();
self.mem[i ]=a; self.mem[i+1]=b;
self.mem[i+2]=c; self.mem[i+3]=d;
self.mem[i+4]=e; self.mem[i+5]=f;
self.mem[i+6]=g; self.mem[i+7]=h;
}
}
self.isaac();
}
/// Refills the output buffer (`self.rsl`)
#[inline]
fn isaac(&mut self) {
self.c = self.c + w(1);
// abbreviations
let mut a = self.a;
let mut b = self.b + self.c;
const MIDPOINT: usize = RAND_SIZE_USIZE / 2;
macro_rules! ind {
($x:expr) => ( self.mem[($x >> 2usize).0 as usize & (RAND_SIZE_USIZE - 1)] )
}
let r = [(0, MIDPOINT), (MIDPOINT, 0)];
for &(mr_offset, m2_offset) in r.iter() {
macro_rules! rngstepp {
($j:expr, $shift:expr) => {{
let base = $j;
let mix = a << $shift;
let x = self.mem[base + mr_offset];
a = (a ^ mix) + self.mem[base + m2_offset];
let y = ind!(x) + a + b;
self.mem[base + mr_offset] = y;
b = ind!(y >> RAND_SIZE_LEN) + x;
self.rsl[base + mr_offset] = b;
}}
}
macro_rules! rngstepn {
($j:expr, $shift:expr) => {{
let base = $j;
let mix = a >> $shift;
let x = self.mem[base + mr_offset];
a = (a ^ mix) + self.mem[base + m2_offset];
let y = ind!(x) + a + b;
self.mem[base + mr_offset] = y;
b = ind!(y >> RAND_SIZE_LEN) + x;
self.rsl[base + mr_offset] = b;
}}
}
for i in (0..MIDPOINT/4).map(|i| i * 4) {
rngstepp!(i + 0, 13);
rngstepn!(i + 1, 6);
rngstepp!(i + 2, 2);
rngstepn!(i + 3, 16);
}
}
self.a = a;
self.b = b;
self.cnt = RAND_SIZE;
}
}
// Cannot be derived because [u32; 256] does not implement Clone
impl Clone for IsaacRng {
fn clone(&self) -> IsaacRng {
*self
}
}
impl Rng for IsaacRng {
#[inline]
fn next_u32(&mut self) -> u32 {
if self.cnt == 0 {
// make some more numbers
self.isaac();
}
self.cnt -= 1;
// self.cnt is at most RAND_SIZE, but that is before the
// subtraction above. We want to index without bounds
// checking, but this could lead to incorrect code if someone
// misrefactors, so we check, sometimes.
//
// (Changes here should be reflected in Isaac64Rng.next_u64.)
debug_assert!(self.cnt < RAND_SIZE);
// (the % is cheaply telling the optimiser that we're always
// in bounds, without unsafe. NB. this is a power of two, so
// it optimises to a bitwise mask).
self.rsl[(self.cnt % RAND_SIZE) as usize].0
}
}
impl<'a> SeedableRng<&'a [u32]> for IsaacRng {
fn reseed(&mut self, seed: &'a [u32]) {
// make the seed into [seed[0], seed[1], ..., seed[seed.len()
// - 1], 0, 0, ...], to fill rng.rsl.
let seed_iter = seed.iter().map(|&x| x).chain(repeat(0u32));
for (rsl_elem, seed_elem) in self.rsl.iter_mut().zip(seed_iter) {
*rsl_elem = w(seed_elem);
}
self.cnt = 0;
self.a = w(0);
self.b = w(0);
self.c = w(0);
self.init(true);
}
/// Create an ISAAC random number generator with a seed. This can
/// be any length, although the maximum number of elements used is
/// 256 and any more will be silently ignored. A generator
/// constructed with a given seed will generate the same sequence
/// of values as all other generators constructed with that seed.
fn from_seed(seed: &'a [u32]) -> IsaacRng {
let mut rng = EMPTY;
rng.reseed(seed);
rng
}
}
impl Rand for IsaacRng {
fn rand<R: Rng>(other: &mut R) -> IsaacRng {
let mut ret = EMPTY;
unsafe {
let ptr = ret.rsl.as_mut_ptr() as *mut u8;
let slice = slice::from_raw_parts_mut(ptr, RAND_SIZE_USIZE * 4);
other.fill_bytes(slice);
}
ret.cnt = 0;
ret.a = w(0);
ret.b = w(0);
ret.c = w(0);
ret.init(true);
return ret;
}
}
impl fmt::Debug for IsaacRng {
fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result {
write!(f, "IsaacRng {{}}")
}
}
#[cfg(test)]
mod test {
use {Rng, SeedableRng};
use super::IsaacRng;
#[test]
fn test_rng_32_rand_seeded() {
let s = ::test::rng().gen_iter::<u32>().take(256).collect::<Vec<u32>>();
let mut ra: IsaacRng = SeedableRng::from_seed(&s[..]);
let mut rb: IsaacRng = SeedableRng::from_seed(&s[..]);
assert!(::test::iter_eq(ra.gen_ascii_chars().take(100),
rb.gen_ascii_chars().take(100)));
}
#[test]
fn test_rng_32_seeded() {
let seed: &[_] = &[1, 23, 456, 7890, 12345];
let mut ra: IsaacRng = SeedableRng::from_seed(seed);
let mut rb: IsaacRng = SeedableRng::from_seed(seed);
assert!(::test::iter_eq(ra.gen_ascii_chars().take(100),
rb.gen_ascii_chars().take(100)));
}
#[test]
fn test_rng_32_reseed() {
let s = ::test::rng().gen_iter::<u32>().take(256).collect::<Vec<u32>>();
let mut r: IsaacRng = SeedableRng::from_seed(&s[..]);
let string1: String = r.gen_ascii_chars().take(100).collect();
r.reseed(&s[..]);
let string2: String = r.gen_ascii_chars().take(100).collect();
assert_eq!(string1, string2);
}
#[test]
fn test_rng_32_true_values() {
let seed: &[_] = &[1, 23, 456, 7890, 12345];
let mut ra: IsaacRng = SeedableRng::from_seed(seed);
// Regression test that isaac is actually using the above vector
let v = (0..10).map(|_| ra.next_u32()).collect::<Vec<_>>();
assert_eq!(v,
vec!(2558573138, 873787463, 263499565, 2103644246, 3595684709,
4203127393, 264982119, 2765226902, 2737944514, 3900253796));
let seed: &[_] = &[12345, 67890, 54321, 9876];
let mut rb: IsaacRng = SeedableRng::from_seed(seed);
// skip forward to the 10000th number
for _ in 0..10000 { rb.next_u32(); }
let v = (0..10).map(|_| rb.next_u32()).collect::<Vec<_>>();
assert_eq!(v,
vec!(3676831399, 3183332890, 2834741178, 3854698763, 2717568474,
1576568959, 3507990155, 179069555, 141456972, 2478885421));
}
}

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@ -1,340 +0,0 @@
// Copyright 2013 The Rust Project Developers. See the COPYRIGHT
// file at the top-level directory of this distribution and at
// http://rust-lang.org/COPYRIGHT.
//
// Licensed under the Apache License, Version 2.0 <LICENSE-APACHE or
// http://www.apache.org/licenses/LICENSE-2.0> or the MIT license
// <LICENSE-MIT or http://opensource.org/licenses/MIT>, at your
// option. This file may not be copied, modified, or distributed
// except according to those terms.
//! The ISAAC-64 random number generator.
use core::slice;
use core::iter::repeat;
use core::num::Wrapping as w;
use core::fmt;
use {Rng, SeedableRng, Rand};
#[allow(bad_style)]
type w64 = w<u64>;
const RAND_SIZE_64_LEN: usize = 8;
const RAND_SIZE_64: usize = 1 << RAND_SIZE_64_LEN;
/// A random number generator that uses ISAAC-64[1], the 64-bit
/// variant of the ISAAC algorithm.
///
/// The ISAAC algorithm is generally accepted as suitable for
/// cryptographic purposes, but this implementation has not be
/// verified as such. Prefer a generator like `OsRng` that defers to
/// the operating system for cases that need high security.
///
/// [1]: Bob Jenkins, [*ISAAC: A fast cryptographic random number
/// generator*](http://www.burtleburtle.net/bob/rand/isaacafa.html)
#[derive(Copy)]
pub struct Isaac64Rng {
cnt: usize,
rsl: [w64; RAND_SIZE_64],
mem: [w64; RAND_SIZE_64],
a: w64,
b: w64,
c: w64,
}
static EMPTY_64: Isaac64Rng = Isaac64Rng {
cnt: 0,
rsl: [w(0); RAND_SIZE_64],
mem: [w(0); RAND_SIZE_64],
a: w(0), b: w(0), c: w(0),
};
impl Isaac64Rng {
/// Create a 64-bit ISAAC random number generator using the
/// default fixed seed.
pub fn new_unseeded() -> Isaac64Rng {
let mut rng = EMPTY_64;
rng.init(false);
rng
}
/// Initialises `self`. If `use_rsl` is true, then use the current value
/// of `rsl` as a seed, otherwise construct one algorithmically (not
/// randomly).
fn init(&mut self, use_rsl: bool) {
macro_rules! init {
($var:ident) => (
let mut $var = w(0x9e3779b97f4a7c13);
)
}
init!(a); init!(b); init!(c); init!(d);
init!(e); init!(f); init!(g); init!(h);
macro_rules! mix {
() => {{
a=a-e; f=f^(h>>9); h=h+a;
b=b-f; g=g^(a<<9); a=a+b;
c=c-g; h=h^(b>>23); b=b+c;
d=d-h; a=a^(c<<15); c=c+d;
e=e-a; b=b^(d>>14); d=d+e;
f=f-b; c=c^(e<<20); e=e+f;
g=g-c; d=d^(f>>17); f=f+g;
h=h-d; e=e^(g<<14); g=g+h;
}}
}
for _ in 0..4 {
mix!();
}
if use_rsl {
macro_rules! memloop {
($arr:expr) => {{
for i in (0..RAND_SIZE_64 / 8).map(|i| i * 8) {
a=a+$arr[i ]; b=b+$arr[i+1];
c=c+$arr[i+2]; d=d+$arr[i+3];
e=e+$arr[i+4]; f=f+$arr[i+5];
g=g+$arr[i+6]; h=h+$arr[i+7];
mix!();
self.mem[i ]=a; self.mem[i+1]=b;
self.mem[i+2]=c; self.mem[i+3]=d;
self.mem[i+4]=e; self.mem[i+5]=f;
self.mem[i+6]=g; self.mem[i+7]=h;
}
}}
}
memloop!(self.rsl);
memloop!(self.mem);
} else {
for i in (0..RAND_SIZE_64 / 8).map(|i| i * 8) {
mix!();
self.mem[i ]=a; self.mem[i+1]=b;
self.mem[i+2]=c; self.mem[i+3]=d;
self.mem[i+4]=e; self.mem[i+5]=f;
self.mem[i+6]=g; self.mem[i+7]=h;
}
}
self.isaac64();
}
/// Refills the output buffer (`self.rsl`)
fn isaac64(&mut self) {
self.c = self.c + w(1);
// abbreviations
let mut a = self.a;
let mut b = self.b + self.c;
const MIDPOINT: usize = RAND_SIZE_64 / 2;
const MP_VEC: [(usize, usize); 2] = [(0,MIDPOINT), (MIDPOINT, 0)];
macro_rules! ind {
($x:expr) => {
*self.mem.get_unchecked((($x >> 3usize).0 as usize) & (RAND_SIZE_64 - 1))
}
}
for &(mr_offset, m2_offset) in MP_VEC.iter() {
for base in (0..MIDPOINT / 4).map(|i| i * 4) {
macro_rules! rngstepp {
($j:expr, $shift:expr) => {{
let base = base + $j;
let mix = a ^ (a << $shift);
let mix = if $j == 0 {!mix} else {mix};
unsafe {
let x = *self.mem.get_unchecked(base + mr_offset);
a = mix + *self.mem.get_unchecked(base + m2_offset);
let y = ind!(x) + a + b;
*self.mem.get_unchecked_mut(base + mr_offset) = y;
b = ind!(y >> RAND_SIZE_64_LEN) + x;
*self.rsl.get_unchecked_mut(base + mr_offset) = b;
}
}}
}
macro_rules! rngstepn {
($j:expr, $shift:expr) => {{
let base = base + $j;
let mix = a ^ (a >> $shift);
let mix = if $j == 0 {!mix} else {mix};
unsafe {
let x = *self.mem.get_unchecked(base + mr_offset);
a = mix + *self.mem.get_unchecked(base + m2_offset);
let y = ind!(x) + a + b;
*self.mem.get_unchecked_mut(base + mr_offset) = y;
b = ind!(y >> RAND_SIZE_64_LEN) + x;
*self.rsl.get_unchecked_mut(base + mr_offset) = b;
}
}}
}
rngstepp!(0, 21);
rngstepn!(1, 5);
rngstepp!(2, 12);
rngstepn!(3, 33);
}
}
self.a = a;
self.b = b;
self.cnt = RAND_SIZE_64;
}
}
// Cannot be derived because [u32; 256] does not implement Clone
impl Clone for Isaac64Rng {
fn clone(&self) -> Isaac64Rng {
*self
}
}
impl Rng for Isaac64Rng {
#[inline]
fn next_u32(&mut self) -> u32 {
self.next_u64() as u32
}
#[inline]
fn next_u64(&mut self) -> u64 {
if self.cnt == 0 {
// make some more numbers
self.isaac64();
}
self.cnt -= 1;
// See corresponding location in IsaacRng.next_u32 for
// explanation.
debug_assert!(self.cnt < RAND_SIZE_64);
self.rsl[(self.cnt % RAND_SIZE_64) as usize].0
}
}
impl<'a> SeedableRng<&'a [u64]> for Isaac64Rng {
fn reseed(&mut self, seed: &'a [u64]) {
// make the seed into [seed[0], seed[1], ..., seed[seed.len()
// - 1], 0, 0, ...], to fill rng.rsl.
let seed_iter = seed.iter().map(|&x| x).chain(repeat(0u64));
for (rsl_elem, seed_elem) in self.rsl.iter_mut().zip(seed_iter) {
*rsl_elem = w(seed_elem);
}
self.cnt = 0;
self.a = w(0);
self.b = w(0);
self.c = w(0);
self.init(true);
}
/// Create an ISAAC random number generator with a seed. This can
/// be any length, although the maximum number of elements used is
/// 256 and any more will be silently ignored. A generator
/// constructed with a given seed will generate the same sequence
/// of values as all other generators constructed with that seed.
fn from_seed(seed: &'a [u64]) -> Isaac64Rng {
let mut rng = EMPTY_64;
rng.reseed(seed);
rng
}
}
impl Rand for Isaac64Rng {
fn rand<R: Rng>(other: &mut R) -> Isaac64Rng {
let mut ret = EMPTY_64;
unsafe {
let ptr = ret.rsl.as_mut_ptr() as *mut u8;
let slice = slice::from_raw_parts_mut(ptr, RAND_SIZE_64 * 8);
other.fill_bytes(slice);
}
ret.cnt = 0;
ret.a = w(0);
ret.b = w(0);
ret.c = w(0);
ret.init(true);
return ret;
}
}
impl fmt::Debug for Isaac64Rng {
fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result {
write!(f, "Isaac64Rng {{}}")
}
}
#[cfg(test)]
mod test {
use {Rng, SeedableRng};
use super::Isaac64Rng;
#[test]
fn test_rng_64_rand_seeded() {
let s = ::test::rng().gen_iter::<u64>().take(256).collect::<Vec<u64>>();
let mut ra: Isaac64Rng = SeedableRng::from_seed(&s[..]);
let mut rb: Isaac64Rng = SeedableRng::from_seed(&s[..]);
assert!(::test::iter_eq(ra.gen_ascii_chars().take(100),
rb.gen_ascii_chars().take(100)));
}
#[test]
fn test_rng_64_seeded() {
let seed: &[_] = &[1, 23, 456, 7890, 12345];
let mut ra: Isaac64Rng = SeedableRng::from_seed(seed);
let mut rb: Isaac64Rng = SeedableRng::from_seed(seed);
assert!(::test::iter_eq(ra.gen_ascii_chars().take(100),
rb.gen_ascii_chars().take(100)));
}
#[test]
fn test_rng_64_reseed() {
let s = ::test::rng().gen_iter::<u64>().take(256).collect::<Vec<u64>>();
let mut r: Isaac64Rng = SeedableRng::from_seed(&s[..]);
let string1: String = r.gen_ascii_chars().take(100).collect();
r.reseed(&s[..]);
let string2: String = r.gen_ascii_chars().take(100).collect();
assert_eq!(string1, string2);
}
#[test]
fn test_rng_64_true_values() {
let seed: &[_] = &[1, 23, 456, 7890, 12345];
let mut ra: Isaac64Rng = SeedableRng::from_seed(seed);
// Regression test that isaac is actually using the above vector
let v = (0..10).map(|_| ra.next_u64()).collect::<Vec<_>>();
assert_eq!(v,
vec!(547121783600835980, 14377643087320773276, 17351601304698403469,
1238879483818134882, 11952566807690396487, 13970131091560099343,
4469761996653280935, 15552757044682284409, 6860251611068737823,
13722198873481261842));
let seed: &[_] = &[12345, 67890, 54321, 9876];
let mut rb: Isaac64Rng = SeedableRng::from_seed(seed);
// skip forward to the 10000th number
for _ in 0..10000 { rb.next_u64(); }
let v = (0..10).map(|_| rb.next_u64()).collect::<Vec<_>>();
assert_eq!(v,
vec!(18143823860592706164, 8491801882678285927, 2699425367717515619,
17196852593171130876, 2606123525235546165, 15790932315217671084,
596345674630742204, 9947027391921273664, 11788097613744130851,
10391409374914919106));
}
#[test]
fn test_rng_clone() {
let seed: &[_] = &[1, 23, 456, 7890, 12345];
let mut rng: Isaac64Rng = SeedableRng::from_seed(seed);
let mut clone = rng.clone();
for _ in 0..16 {
assert_eq!(rng.next_u64(), clone.next_u64());
}
}
}

51
third_party/rust/rand-0.4.6/src/prng/mod.rs поставляемый
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@ -1,51 +0,0 @@
// Copyright 2017 The Rust Project Developers. See the COPYRIGHT
// file at the top-level directory of this distribution and at
// http://rust-lang.org/COPYRIGHT.
//
// Licensed under the Apache License, Version 2.0 <LICENSE-APACHE or
// http://www.apache.org/licenses/LICENSE-2.0> or the MIT license
// <LICENSE-MIT or http://opensource.org/licenses/MIT>, at your
// option. This file may not be copied, modified, or distributed
// except according to those terms.
//! Pseudo random number generators are algorithms to produce *apparently
//! random* numbers deterministically, and usually fairly quickly.
//!
//! So long as the algorithm is computationally secure, is initialised with
//! sufficient entropy (i.e. unknown by an attacker), and its internal state is
//! also protected (unknown to an attacker), the output will also be
//! *computationally secure*. Computationally Secure Pseudo Random Number
//! Generators (CSPRNGs) are thus suitable sources of random numbers for
//! cryptography. There are a couple of gotchas here, however. First, the seed
//! used for initialisation must be unknown. Usually this should be provided by
//! the operating system and should usually be secure, however this may not
//! always be the case (especially soon after startup). Second, user-space
//! memory may be vulnerable, for example when written to swap space, and after
//! forking a child process should reinitialise any user-space PRNGs. For this
//! reason it may be preferable to source random numbers directly from the OS
//! for cryptographic applications.
//!
//! PRNGs are also widely used for non-cryptographic uses: randomised
//! algorithms, simulations, games. In these applications it is usually not
//! important for numbers to be cryptographically *unguessable*, but even
//! distribution and independence from other samples (from the point of view
//! of someone unaware of the algorithm used, at least) may still be important.
//! Good PRNGs should satisfy these properties, but do not take them for
//! granted; Wikipedia's article on
//! [Pseudorandom number generators](https://en.wikipedia.org/wiki/Pseudorandom_number_generator)
//! provides some background on this topic.
//!
//! Care should be taken when seeding (initialising) PRNGs. Some PRNGs have
//! short periods for some seeds. If one PRNG is seeded from another using the
//! same algorithm, it is possible that both will yield the same sequence of
//! values (with some lag).
mod chacha;
mod isaac;
mod isaac64;
mod xorshift;
pub use self::chacha::ChaChaRng;
pub use self::isaac::IsaacRng;
pub use self::isaac64::Isaac64Rng;
pub use self::xorshift::XorShiftRng;

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@ -1,101 +0,0 @@
// Copyright 2017 The Rust Project Developers. See the COPYRIGHT
// file at the top-level directory of this distribution and at
// http://rust-lang.org/COPYRIGHT.
//
// Licensed under the Apache License, Version 2.0 <LICENSE-APACHE or
// http://www.apache.org/licenses/LICENSE-2.0> or the MIT license
// <LICENSE-MIT or http://opensource.org/licenses/MIT>, at your
// option. This file may not be copied, modified, or distributed
// except according to those terms.
//! Xorshift generators
use core::num::Wrapping as w;
use {Rng, SeedableRng, Rand};
/// An Xorshift[1] random number
/// generator.
///
/// The Xorshift algorithm is not suitable for cryptographic purposes
/// but is very fast. If you do not know for sure that it fits your
/// requirements, use a more secure one such as `IsaacRng` or `OsRng`.
///
/// [1]: Marsaglia, George (July 2003). ["Xorshift
/// RNGs"](http://www.jstatsoft.org/v08/i14/paper). *Journal of
/// Statistical Software*. Vol. 8 (Issue 14).
#[allow(missing_copy_implementations)]
#[derive(Clone, Debug)]
pub struct XorShiftRng {
x: w<u32>,
y: w<u32>,
z: w<u32>,
w: w<u32>,
}
impl XorShiftRng {
/// Creates a new XorShiftRng instance which is not seeded.
///
/// The initial values of this RNG are constants, so all generators created
/// by this function will yield the same stream of random numbers. It is
/// highly recommended that this is created through `SeedableRng` instead of
/// this function
pub fn new_unseeded() -> XorShiftRng {
XorShiftRng {
x: w(0x193a6754),
y: w(0xa8a7d469),
z: w(0x97830e05),
w: w(0x113ba7bb),
}
}
}
impl Rng for XorShiftRng {
#[inline]
fn next_u32(&mut self) -> u32 {
let x = self.x;
let t = x ^ (x << 11);
self.x = self.y;
self.y = self.z;
self.z = self.w;
let w_ = self.w;
self.w = w_ ^ (w_ >> 19) ^ (t ^ (t >> 8));
self.w.0
}
}
impl SeedableRng<[u32; 4]> for XorShiftRng {
/// Reseed an XorShiftRng. This will panic if `seed` is entirely 0.
fn reseed(&mut self, seed: [u32; 4]) {
assert!(!seed.iter().all(|&x| x == 0),
"XorShiftRng.reseed called with an all zero seed.");
self.x = w(seed[0]);
self.y = w(seed[1]);
self.z = w(seed[2]);
self.w = w(seed[3]);
}
/// Create a new XorShiftRng. This will panic if `seed` is entirely 0.
fn from_seed(seed: [u32; 4]) -> XorShiftRng {
assert!(!seed.iter().all(|&x| x == 0),
"XorShiftRng::from_seed called with an all zero seed.");
XorShiftRng {
x: w(seed[0]),
y: w(seed[1]),
z: w(seed[2]),
w: w(seed[3]),
}
}
}
impl Rand for XorShiftRng {
fn rand<R: Rng>(rng: &mut R) -> XorShiftRng {
let mut tuple: (u32, u32, u32, u32) = rng.gen();
while tuple == (0, 0, 0, 0) {
tuple = rng.gen();
}
let (x, y, z, w_) = tuple;
XorShiftRng { x: w(x), y: w(y), z: w(z), w: w(w_) }
}
}

299
third_party/rust/rand-0.4.6/src/rand_impls.rs поставляемый
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// Copyright 2013-2014 The Rust Project Developers. See the COPYRIGHT
// file at the top-level directory of this distribution and at
// http://rust-lang.org/COPYRIGHT.
//
// Licensed under the Apache License, Version 2.0 <LICENSE-APACHE or
// http://www.apache.org/licenses/LICENSE-2.0> or the MIT license
// <LICENSE-MIT or http://opensource.org/licenses/MIT>, at your
// option. This file may not be copied, modified, or distributed
// except according to those terms.
//! The implementations of `Rand` for the built-in types.
use core::{char, mem};
use {Rand,Rng};
impl Rand for isize {
#[inline]
fn rand<R: Rng>(rng: &mut R) -> isize {
if mem::size_of::<isize>() == 4 {
rng.gen::<i32>() as isize
} else {
rng.gen::<i64>() as isize
}
}
}
impl Rand for i8 {
#[inline]
fn rand<R: Rng>(rng: &mut R) -> i8 {
rng.next_u32() as i8
}
}
impl Rand for i16 {
#[inline]
fn rand<R: Rng>(rng: &mut R) -> i16 {
rng.next_u32() as i16
}
}
impl Rand for i32 {
#[inline]
fn rand<R: Rng>(rng: &mut R) -> i32 {
rng.next_u32() as i32
}
}
impl Rand for i64 {
#[inline]
fn rand<R: Rng>(rng: &mut R) -> i64 {
rng.next_u64() as i64
}
}
#[cfg(feature = "i128_support")]
impl Rand for i128 {
#[inline]
fn rand<R: Rng>(rng: &mut R) -> i128 {
rng.gen::<u128>() as i128
}
}
impl Rand for usize {
#[inline]
fn rand<R: Rng>(rng: &mut R) -> usize {
if mem::size_of::<usize>() == 4 {
rng.gen::<u32>() as usize
} else {
rng.gen::<u64>() as usize
}
}
}
impl Rand for u8 {
#[inline]
fn rand<R: Rng>(rng: &mut R) -> u8 {
rng.next_u32() as u8
}
}
impl Rand for u16 {
#[inline]
fn rand<R: Rng>(rng: &mut R) -> u16 {
rng.next_u32() as u16
}
}
impl Rand for u32 {
#[inline]
fn rand<R: Rng>(rng: &mut R) -> u32 {
rng.next_u32()
}
}
impl Rand for u64 {
#[inline]
fn rand<R: Rng>(rng: &mut R) -> u64 {
rng.next_u64()
}
}
#[cfg(feature = "i128_support")]
impl Rand for u128 {
#[inline]
fn rand<R: Rng>(rng: &mut R) -> u128 {
((rng.next_u64() as u128) << 64) | (rng.next_u64() as u128)
}
}
macro_rules! float_impls {
($mod_name:ident, $ty:ty, $mantissa_bits:expr, $method_name:ident) => {
mod $mod_name {
use {Rand, Rng, Open01, Closed01};
const SCALE: $ty = (1u64 << $mantissa_bits) as $ty;
impl Rand for $ty {
/// Generate a floating point number in the half-open
/// interval `[0,1)`.
///
/// See `Closed01` for the closed interval `[0,1]`,
/// and `Open01` for the open interval `(0,1)`.
#[inline]
fn rand<R: Rng>(rng: &mut R) -> $ty {
rng.$method_name()
}
}
impl Rand for Open01<$ty> {
#[inline]
fn rand<R: Rng>(rng: &mut R) -> Open01<$ty> {
// add a small amount (specifically 2 bits below
// the precision of f64/f32 at 1.0), so that small
// numbers are larger than 0, but large numbers
// aren't pushed to/above 1.
Open01(rng.$method_name() + 0.25 / SCALE)
}
}
impl Rand for Closed01<$ty> {
#[inline]
fn rand<R: Rng>(rng: &mut R) -> Closed01<$ty> {
// rescale so that 1.0 - epsilon becomes 1.0
// precisely.
Closed01(rng.$method_name() * SCALE / (SCALE - 1.0))
}
}
}
}
}
float_impls! { f64_rand_impls, f64, 53, next_f64 }
float_impls! { f32_rand_impls, f32, 24, next_f32 }
impl Rand for char {
#[inline]
fn rand<R: Rng>(rng: &mut R) -> char {
// a char is 21 bits
const CHAR_MASK: u32 = 0x001f_ffff;
loop {
// Rejection sampling. About 0.2% of numbers with at most
// 21-bits are invalid codepoints (surrogates), so this
// will succeed first go almost every time.
match char::from_u32(rng.next_u32() & CHAR_MASK) {
Some(c) => return c,
None => {}
}
}
}
}
impl Rand for bool {
#[inline]
fn rand<R: Rng>(rng: &mut R) -> bool {
rng.gen::<u8>() & 1 == 1
}
}
macro_rules! tuple_impl {
// use variables to indicate the arity of the tuple
($($tyvar:ident),* ) => {
// the trailing commas are for the 1 tuple
impl<
$( $tyvar : Rand ),*
> Rand for ( $( $tyvar ),* , ) {
#[inline]
fn rand<R: Rng>(_rng: &mut R) -> ( $( $tyvar ),* , ) {
(
// use the $tyvar's to get the appropriate number of
// repeats (they're not actually needed)
$(
_rng.gen::<$tyvar>()
),*
,
)
}
}
}
}
impl Rand for () {
#[inline]
fn rand<R: Rng>(_: &mut R) -> () { () }
}
tuple_impl!{A}
tuple_impl!{A, B}
tuple_impl!{A, B, C}
tuple_impl!{A, B, C, D}
tuple_impl!{A, B, C, D, E}
tuple_impl!{A, B, C, D, E, F}
tuple_impl!{A, B, C, D, E, F, G}
tuple_impl!{A, B, C, D, E, F, G, H}
tuple_impl!{A, B, C, D, E, F, G, H, I}
tuple_impl!{A, B, C, D, E, F, G, H, I, J}
tuple_impl!{A, B, C, D, E, F, G, H, I, J, K}
tuple_impl!{A, B, C, D, E, F, G, H, I, J, K, L}
macro_rules! array_impl {
{$n:expr, $t:ident, $($ts:ident,)*} => {
array_impl!{($n - 1), $($ts,)*}
impl<T> Rand for [T; $n] where T: Rand {
#[inline]
fn rand<R: Rng>(_rng: &mut R) -> [T; $n] {
[_rng.gen::<$t>(), $(_rng.gen::<$ts>()),*]
}
}
};
{$n:expr,} => {
impl<T> Rand for [T; $n] {
fn rand<R: Rng>(_rng: &mut R) -> [T; $n] { [] }
}
};
}
array_impl!{32, T, T, T, T, T, T, T, T, T, T, T, T, T, T, T, T, T, T, T, T, T, T, T, T, T, T, T, T, T, T, T, T,}
impl<T:Rand> Rand for Option<T> {
#[inline]
fn rand<R: Rng>(rng: &mut R) -> Option<T> {
if rng.gen() {
Some(rng.gen())
} else {
None
}
}
}
#[cfg(test)]
mod tests {
use {Rng, thread_rng, Open01, Closed01};
struct ConstantRng(u64);
impl Rng for ConstantRng {
fn next_u32(&mut self) -> u32 {
let ConstantRng(v) = *self;
v as u32
}
fn next_u64(&mut self) -> u64 {
let ConstantRng(v) = *self;
v
}
}
#[test]
fn floating_point_edge_cases() {
// the test for exact equality is correct here.
assert!(ConstantRng(0xffff_ffff).gen::<f32>() != 1.0);
assert!(ConstantRng(0xffff_ffff_ffff_ffff).gen::<f64>() != 1.0);
}
#[test]
fn rand_open() {
// this is unlikely to catch an incorrect implementation that
// generates exactly 0 or 1, but it keeps it sane.
let mut rng = thread_rng();
for _ in 0..1_000 {
// strict inequalities
let Open01(f) = rng.gen::<Open01<f64>>();
assert!(0.0 < f && f < 1.0);
let Open01(f) = rng.gen::<Open01<f32>>();
assert!(0.0 < f && f < 1.0);
}
}
#[test]
fn rand_closed() {
let mut rng = thread_rng();
for _ in 0..1_000 {
// strict inequalities
let Closed01(f) = rng.gen::<Closed01<f64>>();
assert!(0.0 <= f && f <= 1.0);
let Closed01(f) = rng.gen::<Closed01<f32>>();
assert!(0.0 <= f && f <= 1.0);
}
}
}

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third_party/rust/rand-0.4.6/src/read.rs поставляемый
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// Copyright 2013 The Rust Project Developers. See the COPYRIGHT
// file at the top-level directory of this distribution and at
// http://rust-lang.org/COPYRIGHT.
//
// Licensed under the Apache License, Version 2.0 <LICENSE-APACHE or
// http://www.apache.org/licenses/LICENSE-2.0> or the MIT license
// <LICENSE-MIT or http://opensource.org/licenses/MIT>, at your
// option. This file may not be copied, modified, or distributed
// except according to those terms.
//! A wrapper around any Read to treat it as an RNG.
use std::io::{self, Read};
use std::mem;
use Rng;
/// An RNG that reads random bytes straight from a `Read`. This will
/// work best with an infinite reader, but this is not required.
///
/// # Panics
///
/// It will panic if it there is insufficient data to fulfill a request.
///
/// # Example
///
/// ```rust
/// use rand::{read, Rng};
///
/// let data = vec![1, 2, 3, 4, 5, 6, 7, 8];
/// let mut rng = read::ReadRng::new(&data[..]);
/// println!("{:x}", rng.gen::<u32>());
/// ```
#[derive(Debug)]
pub struct ReadRng<R> {
reader: R
}
impl<R: Read> ReadRng<R> {
/// Create a new `ReadRng` from a `Read`.
pub fn new(r: R) -> ReadRng<R> {
ReadRng {
reader: r
}
}
}
impl<R: Read> Rng for ReadRng<R> {
fn next_u32(&mut self) -> u32 {
// This is designed for speed: reading a LE integer on a LE
// platform just involves blitting the bytes into the memory
// of the u32, similarly for BE on BE; avoiding byteswapping.
let mut buf = [0; 4];
fill(&mut self.reader, &mut buf).unwrap();
unsafe { *(buf.as_ptr() as *const u32) }
}
fn next_u64(&mut self) -> u64 {
// see above for explanation.
let mut buf = [0; 8];
fill(&mut self.reader, &mut buf).unwrap();
unsafe { *(buf.as_ptr() as *const u64) }
}
fn fill_bytes(&mut self, v: &mut [u8]) {
if v.len() == 0 { return }
fill(&mut self.reader, v).unwrap();
}
}
fn fill(r: &mut Read, mut buf: &mut [u8]) -> io::Result<()> {
while buf.len() > 0 {
match try!(r.read(buf)) {
0 => return Err(io::Error::new(io::ErrorKind::Other,
"end of file reached")),
n => buf = &mut mem::replace(&mut buf, &mut [])[n..],
}
}
Ok(())
}
#[cfg(test)]
mod test {
use super::ReadRng;
use Rng;
#[test]
fn test_reader_rng_u64() {
// transmute from the target to avoid endianness concerns.
let v = vec![0u8, 0, 0, 0, 0, 0, 0, 1,
0 , 0, 0, 0, 0, 0, 0, 2,
0, 0, 0, 0, 0, 0, 0, 3];
let mut rng = ReadRng::new(&v[..]);
assert_eq!(rng.next_u64(), 1_u64.to_be());
assert_eq!(rng.next_u64(), 2_u64.to_be());
assert_eq!(rng.next_u64(), 3_u64.to_be());
}
#[test]
fn test_reader_rng_u32() {
let v = vec![0u8, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 3];
let mut rng = ReadRng::new(&v[..]);
assert_eq!(rng.next_u32(), 1_u32.to_be());
assert_eq!(rng.next_u32(), 2_u32.to_be());
assert_eq!(rng.next_u32(), 3_u32.to_be());
}
#[test]
fn test_reader_rng_fill_bytes() {
let v = [1u8, 2, 3, 4, 5, 6, 7, 8];
let mut w = [0u8; 8];
let mut rng = ReadRng::new(&v[..]);
rng.fill_bytes(&mut w);
assert!(v == w);
}
#[test]
#[should_panic]
fn test_reader_rng_insufficient_bytes() {
let mut rng = ReadRng::new(&[][..]);
let mut v = [0u8; 3];
rng.fill_bytes(&mut v);
}
}

229
third_party/rust/rand-0.4.6/src/reseeding.rs поставляемый
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@ -1,229 +0,0 @@
// Copyright 2013 The Rust Project Developers. See the COPYRIGHT
// file at the top-level directory of this distribution and at
// http://rust-lang.org/COPYRIGHT.
//
// Licensed under the Apache License, Version 2.0 <LICENSE-APACHE or
// http://www.apache.org/licenses/LICENSE-2.0> or the MIT license
// <LICENSE-MIT or http://opensource.org/licenses/MIT>, at your
// option. This file may not be copied, modified, or distributed
// except according to those terms.
//! A wrapper around another RNG that reseeds it after it
//! generates a certain number of random bytes.
use core::default::Default;
use {Rng, SeedableRng};
/// How many bytes of entropy the underling RNG is allowed to generate
/// before it is reseeded
const DEFAULT_GENERATION_THRESHOLD: u64 = 32 * 1024;
/// A wrapper around any RNG which reseeds the underlying RNG after it
/// has generated a certain number of random bytes.
#[derive(Debug)]
pub struct ReseedingRng<R, Rsdr> {
rng: R,
generation_threshold: u64,
bytes_generated: u64,
/// Controls the behaviour when reseeding the RNG.
pub reseeder: Rsdr,
}
impl<R: Rng, Rsdr: Reseeder<R>> ReseedingRng<R, Rsdr> {
/// Create a new `ReseedingRng` with the given parameters.
///
/// # Arguments
///
/// * `rng`: the random number generator to use.
/// * `generation_threshold`: the number of bytes of entropy at which to reseed the RNG.
/// * `reseeder`: the reseeding object to use.
pub fn new(rng: R, generation_threshold: u64, reseeder: Rsdr) -> ReseedingRng<R,Rsdr> {
ReseedingRng {
rng: rng,
generation_threshold: generation_threshold,
bytes_generated: 0,
reseeder: reseeder
}
}
/// Reseed the internal RNG if the number of bytes that have been
/// generated exceed the threshold.
pub fn reseed_if_necessary(&mut self) {
if self.bytes_generated >= self.generation_threshold {
self.reseeder.reseed(&mut self.rng);
self.bytes_generated = 0;
}
}
}
impl<R: Rng, Rsdr: Reseeder<R>> Rng for ReseedingRng<R, Rsdr> {
fn next_u32(&mut self) -> u32 {
self.reseed_if_necessary();
self.bytes_generated += 4;
self.rng.next_u32()
}
fn next_u64(&mut self) -> u64 {
self.reseed_if_necessary();
self.bytes_generated += 8;
self.rng.next_u64()
}
fn fill_bytes(&mut self, dest: &mut [u8]) {
self.reseed_if_necessary();
self.bytes_generated += dest.len() as u64;
self.rng.fill_bytes(dest)
}
}
impl<S, R: SeedableRng<S>, Rsdr: Reseeder<R> + Default>
SeedableRng<(Rsdr, S)> for ReseedingRng<R, Rsdr> {
fn reseed(&mut self, (rsdr, seed): (Rsdr, S)) {
self.rng.reseed(seed);
self.reseeder = rsdr;
self.bytes_generated = 0;
}
/// Create a new `ReseedingRng` from the given reseeder and
/// seed. This uses a default value for `generation_threshold`.
fn from_seed((rsdr, seed): (Rsdr, S)) -> ReseedingRng<R, Rsdr> {
ReseedingRng {
rng: SeedableRng::from_seed(seed),
generation_threshold: DEFAULT_GENERATION_THRESHOLD,
bytes_generated: 0,
reseeder: rsdr
}
}
}
/// Something that can be used to reseed an RNG via `ReseedingRng`.
///
/// # Example
///
/// ```rust
/// use rand::{Rng, SeedableRng, StdRng};
/// use rand::reseeding::{Reseeder, ReseedingRng};
///
/// struct TickTockReseeder { tick: bool }
/// impl Reseeder<StdRng> for TickTockReseeder {
/// fn reseed(&mut self, rng: &mut StdRng) {
/// let val = if self.tick {0} else {1};
/// rng.reseed(&[val]);
/// self.tick = !self.tick;
/// }
/// }
/// fn main() {
/// let rsdr = TickTockReseeder { tick: true };
///
/// let inner = StdRng::new().unwrap();
/// let mut rng = ReseedingRng::new(inner, 10, rsdr);
///
/// // this will repeat, because it gets reseeded very regularly.
/// let s: String = rng.gen_ascii_chars().take(100).collect();
/// println!("{}", s);
/// }
///
/// ```
pub trait Reseeder<R> {
/// Reseed the given RNG.
fn reseed(&mut self, rng: &mut R);
}
/// Reseed an RNG using a `Default` instance. This reseeds by
/// replacing the RNG with the result of a `Default::default` call.
#[derive(Clone, Copy, Debug)]
pub struct ReseedWithDefault;
impl<R: Rng + Default> Reseeder<R> for ReseedWithDefault {
fn reseed(&mut self, rng: &mut R) {
*rng = Default::default();
}
}
impl Default for ReseedWithDefault {
fn default() -> ReseedWithDefault { ReseedWithDefault }
}
#[cfg(test)]
mod test {
use std::default::Default;
use std::iter::repeat;
use super::{ReseedingRng, ReseedWithDefault};
use {SeedableRng, Rng};
struct Counter {
i: u32
}
impl Rng for Counter {
fn next_u32(&mut self) -> u32 {
self.i += 1;
// very random
self.i - 1
}
}
impl Default for Counter {
fn default() -> Counter {
Counter { i: 0 }
}
}
impl SeedableRng<u32> for Counter {
fn reseed(&mut self, seed: u32) {
self.i = seed;
}
fn from_seed(seed: u32) -> Counter {
Counter { i: seed }
}
}
type MyRng = ReseedingRng<Counter, ReseedWithDefault>;
#[test]
fn test_reseeding() {
let mut rs = ReseedingRng::new(Counter {i:0}, 400, ReseedWithDefault);
let mut i = 0;
for _ in 0..1000 {
assert_eq!(rs.next_u32(), i % 100);
i += 1;
}
}
#[test]
fn test_rng_seeded() {
let mut ra: MyRng = SeedableRng::from_seed((ReseedWithDefault, 2));
let mut rb: MyRng = SeedableRng::from_seed((ReseedWithDefault, 2));
assert!(::test::iter_eq(ra.gen_ascii_chars().take(100),
rb.gen_ascii_chars().take(100)));
}
#[test]
fn test_rng_reseed() {
let mut r: MyRng = SeedableRng::from_seed((ReseedWithDefault, 3));
let string1: String = r.gen_ascii_chars().take(100).collect();
r.reseed((ReseedWithDefault, 3));
let string2: String = r.gen_ascii_chars().take(100).collect();
assert_eq!(string1, string2);
}
const FILL_BYTES_V_LEN: usize = 13579;
#[test]
fn test_rng_fill_bytes() {
let mut v = repeat(0u8).take(FILL_BYTES_V_LEN).collect::<Vec<_>>();
::test::rng().fill_bytes(&mut v);
// Sanity test: if we've gotten here, `fill_bytes` has not infinitely
// recursed.
assert_eq!(v.len(), FILL_BYTES_V_LEN);
// To test that `fill_bytes` actually did something, check that the
// average of `v` is not 0.
let mut sum = 0.0;
for &x in v.iter() {
sum += x as f64;
}
assert!(sum / v.len() as f64 != 0.0);
}
}

337
third_party/rust/rand-0.4.6/src/seq.rs поставляемый
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@ -1,337 +0,0 @@
// Copyright 2017 The Rust Project Developers. See the COPYRIGHT
// file at the top-level directory of this distribution and at
// http://rust-lang.org/COPYRIGHT.
//
// Licensed under the Apache License, Version 2.0 <LICENSE-APACHE or
// http://www.apache.org/licenses/LICENSE-2.0> or the MIT license
// <LICENSE-MIT or http://opensource.org/licenses/MIT>, at your
// option. This file may not be copied, modified, or distributed
// except according to those terms.
//! Functions for randomly accessing and sampling sequences.
use super::Rng;
// This crate is only enabled when either std or alloc is available.
// BTreeMap is not as fast in tests, but better than nothing.
#[cfg(feature="std")] use std::collections::HashMap;
#[cfg(not(feature="std"))] use alloc::btree_map::BTreeMap;
#[cfg(not(feature="std"))] use alloc::Vec;
/// Randomly sample `amount` elements from a finite iterator.
///
/// The following can be returned:
/// - `Ok`: `Vec` of `amount` non-repeating randomly sampled elements. The order is not random.
/// - `Err`: `Vec` of all the elements from `iterable` in sequential order. This happens when the
/// length of `iterable` was less than `amount`. This is considered an error since exactly
/// `amount` elements is typically expected.
///
/// This implementation uses `O(len(iterable))` time and `O(amount)` memory.
///
/// # Example
///
/// ```rust
/// use rand::{thread_rng, seq};
///
/// let mut rng = thread_rng();
/// let sample = seq::sample_iter(&mut rng, 1..100, 5).unwrap();
/// println!("{:?}", sample);
/// ```
pub fn sample_iter<T, I, R>(rng: &mut R, iterable: I, amount: usize) -> Result<Vec<T>, Vec<T>>
where I: IntoIterator<Item=T>,
R: Rng,
{
let mut iter = iterable.into_iter();
let mut reservoir = Vec::with_capacity(amount);
reservoir.extend(iter.by_ref().take(amount));
// Continue unless the iterator was exhausted
//
// note: this prevents iterators that "restart" from causing problems.
// If the iterator stops once, then so do we.
if reservoir.len() == amount {
for (i, elem) in iter.enumerate() {
let k = rng.gen_range(0, i + 1 + amount);
if let Some(spot) = reservoir.get_mut(k) {
*spot = elem;
}
}
Ok(reservoir)
} else {
// Don't hang onto extra memory. There is a corner case where
// `amount` was much less than `len(iterable)`.
reservoir.shrink_to_fit();
Err(reservoir)
}
}
/// Randomly sample exactly `amount` values from `slice`.
///
/// The values are non-repeating and in random order.
///
/// This implementation uses `O(amount)` time and memory.
///
/// Panics if `amount > slice.len()`
///
/// # Example
///
/// ```rust
/// use rand::{thread_rng, seq};
///
/// let mut rng = thread_rng();
/// let values = vec![5, 6, 1, 3, 4, 6, 7];
/// println!("{:?}", seq::sample_slice(&mut rng, &values, 3));
/// ```
pub fn sample_slice<R, T>(rng: &mut R, slice: &[T], amount: usize) -> Vec<T>
where R: Rng,
T: Clone
{
let indices = sample_indices(rng, slice.len(), amount);
let mut out = Vec::with_capacity(amount);
out.extend(indices.iter().map(|i| slice[*i].clone()));
out
}
/// Randomly sample exactly `amount` references from `slice`.
///
/// The references are non-repeating and in random order.
///
/// This implementation uses `O(amount)` time and memory.
///
/// Panics if `amount > slice.len()`
///
/// # Example
///
/// ```rust
/// use rand::{thread_rng, seq};
///
/// let mut rng = thread_rng();
/// let values = vec![5, 6, 1, 3, 4, 6, 7];
/// println!("{:?}", seq::sample_slice_ref(&mut rng, &values, 3));
/// ```
pub fn sample_slice_ref<'a, R, T>(rng: &mut R, slice: &'a [T], amount: usize) -> Vec<&'a T>
where R: Rng
{
let indices = sample_indices(rng, slice.len(), amount);
let mut out = Vec::with_capacity(amount);
out.extend(indices.iter().map(|i| &slice[*i]));
out
}
/// Randomly sample exactly `amount` indices from `0..length`.
///
/// The values are non-repeating and in random order.
///
/// This implementation uses `O(amount)` time and memory.
///
/// This method is used internally by the slice sampling methods, but it can sometimes be useful to
/// have the indices themselves so this is provided as an alternative.
///
/// Panics if `amount > length`
pub fn sample_indices<R>(rng: &mut R, length: usize, amount: usize) -> Vec<usize>
where R: Rng,
{
if amount > length {
panic!("`amount` must be less than or equal to `slice.len()`");
}
// We are going to have to allocate at least `amount` for the output no matter what. However,
// if we use the `cached` version we will have to allocate `amount` as a HashMap as well since
// it inserts an element for every loop.
//
// Therefore, if `amount >= length / 2` then inplace will be both faster and use less memory.
// In fact, benchmarks show the inplace version is faster for length up to about 20 times
// faster than amount.
//
// TODO: there is probably even more fine-tuning that can be done here since
// `HashMap::with_capacity(amount)` probably allocates more than `amount` in practice,
// and a trade off could probably be made between memory/cpu, since hashmap operations
// are slower than array index swapping.
if amount >= length / 20 {
sample_indices_inplace(rng, length, amount)
} else {
sample_indices_cache(rng, length, amount)
}
}
/// Sample an amount of indices using an inplace partial fisher yates method.
///
/// This allocates the entire `length` of indices and randomizes only the first `amount`.
/// It then truncates to `amount` and returns.
///
/// This is better than using a HashMap "cache" when `amount >= length / 2` since it does not
/// require allocating an extra cache and is much faster.
fn sample_indices_inplace<R>(rng: &mut R, length: usize, amount: usize) -> Vec<usize>
where R: Rng,
{
debug_assert!(amount <= length);
let mut indices: Vec<usize> = Vec::with_capacity(length);
indices.extend(0..length);
for i in 0..amount {
let j: usize = rng.gen_range(i, length);
let tmp = indices[i];
indices[i] = indices[j];
indices[j] = tmp;
}
indices.truncate(amount);
debug_assert_eq!(indices.len(), amount);
indices
}
/// This method performs a partial fisher-yates on a range of indices using a HashMap
/// as a cache to record potential collisions.
///
/// The cache avoids allocating the entire `length` of values. This is especially useful when
/// `amount <<< length`, i.e. select 3 non-repeating from 1_000_000
fn sample_indices_cache<R>(
rng: &mut R,
length: usize,
amount: usize,
) -> Vec<usize>
where R: Rng,
{
debug_assert!(amount <= length);
#[cfg(feature="std")] let mut cache = HashMap::with_capacity(amount);
#[cfg(not(feature="std"))] let mut cache = BTreeMap::new();
let mut out = Vec::with_capacity(amount);
for i in 0..amount {
let j: usize = rng.gen_range(i, length);
// equiv: let tmp = slice[i];
let tmp = match cache.get(&i) {
Some(e) => *e,
None => i,
};
// equiv: slice[i] = slice[j];
let x = match cache.get(&j) {
Some(x) => *x,
None => j,
};
// equiv: slice[j] = tmp;
cache.insert(j, tmp);
// note that in the inplace version, slice[i] is automatically "returned" value
out.push(x);
}
debug_assert_eq!(out.len(), amount);
out
}
#[cfg(test)]
mod test {
use super::*;
use {thread_rng, XorShiftRng, SeedableRng};
#[test]
fn test_sample_iter() {
let min_val = 1;
let max_val = 100;
let mut r = thread_rng();
let vals = (min_val..max_val).collect::<Vec<i32>>();
let small_sample = sample_iter(&mut r, vals.iter(), 5).unwrap();
let large_sample = sample_iter(&mut r, vals.iter(), vals.len() + 5).unwrap_err();
assert_eq!(small_sample.len(), 5);
assert_eq!(large_sample.len(), vals.len());
// no randomization happens when amount >= len
assert_eq!(large_sample, vals.iter().collect::<Vec<_>>());
assert!(small_sample.iter().all(|e| {
**e >= min_val && **e <= max_val
}));
}
#[test]
fn test_sample_slice_boundaries() {
let empty: &[u8] = &[];
let mut r = thread_rng();
// sample 0 items
assert_eq!(sample_slice(&mut r, empty, 0), vec![]);
assert_eq!(sample_slice(&mut r, &[42, 2, 42], 0), vec![]);
// sample 1 item
assert_eq!(sample_slice(&mut r, &[42], 1), vec![42]);
let v = sample_slice(&mut r, &[1, 42], 1)[0];
assert!(v == 1 || v == 42);
// sample "all" the items
let v = sample_slice(&mut r, &[42, 133], 2);
assert!(v == vec![42, 133] || v == vec![133, 42]);
assert_eq!(sample_indices_inplace(&mut r, 0, 0), vec![]);
assert_eq!(sample_indices_inplace(&mut r, 1, 0), vec![]);
assert_eq!(sample_indices_inplace(&mut r, 1, 1), vec![0]);
assert_eq!(sample_indices_cache(&mut r, 0, 0), vec![]);
assert_eq!(sample_indices_cache(&mut r, 1, 0), vec![]);
assert_eq!(sample_indices_cache(&mut r, 1, 1), vec![0]);
// Make sure lucky 777's aren't lucky
let slice = &[42, 777];
let mut num_42 = 0;
let total = 1000;
for _ in 0..total {
let v = sample_slice(&mut r, slice, 1);
assert_eq!(v.len(), 1);
let v = v[0];
assert!(v == 42 || v == 777);
if v == 42 {
num_42 += 1;
}
}
let ratio_42 = num_42 as f64 / 1000 as f64;
assert!(0.4 <= ratio_42 || ratio_42 <= 0.6, "{}", ratio_42);
}
#[test]
fn test_sample_slice() {
let xor_rng = XorShiftRng::from_seed;
let max_range = 100;
let mut r = thread_rng();
for length in 1usize..max_range {
let amount = r.gen_range(0, length);
let seed: [u32; 4] = [
r.next_u32(), r.next_u32(), r.next_u32(), r.next_u32()
];
println!("Selecting indices: len={}, amount={}, seed={:?}", length, amount, seed);
// assert that the two index methods give exactly the same result
let inplace = sample_indices_inplace(
&mut xor_rng(seed), length, amount);
let cache = sample_indices_cache(
&mut xor_rng(seed), length, amount);
assert_eq!(inplace, cache);
// assert the basics work
let regular = sample_indices(
&mut xor_rng(seed), length, amount);
assert_eq!(regular.len(), amount);
assert!(regular.iter().all(|e| *e < length));
assert_eq!(regular, inplace);
// also test that sampling the slice works
let vec: Vec<usize> = (0..length).collect();
{
let result = sample_slice(&mut xor_rng(seed), &vec, amount);
assert_eq!(result, regular);
}
{
let result = sample_slice_ref(&mut xor_rng(seed), &vec, amount);
let expected = regular.iter().map(|v| v).collect::<Vec<_>>();
assert_eq!(result, expected);
}
}
}
}

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#!/usr/bin/env python
#
# Copyright 2013 The Rust Project Developers. See the COPYRIGHT
# file at the top-level directory of this distribution and at
# http://rust-lang.org/COPYRIGHT.
#
# Licensed under the Apache License, Version 2.0 <LICENSE-APACHE or
# http://www.apache.org/licenses/LICENSE-2.0> or the MIT license
# <LICENSE-MIT or http://opensource.org/licenses/MIT>, at your
# option. This file may not be copied, modified, or distributed
# except according to those terms.
# This creates the tables used for distributions implemented using the
# ziggurat algorithm in `rand::distributions;`. They are
# (basically) the tables as used in the ZIGNOR variant (Doornik 2005).
# They are changed rarely, so the generated file should be checked in
# to git.
#
# It creates 3 tables: X as in the paper, F which is f(x_i), and
# F_DIFF which is f(x_i) - f(x_{i-1}). The latter two are just cached
# values which is not done in that paper (but is done in other
# variants). Note that the adZigR table is unnecessary because of
# algebra.
#
# It is designed to be compatible with Python 2 and 3.
from math import exp, sqrt, log, floor
import random
# The order should match the return value of `tables`
TABLE_NAMES = ['X', 'F']
# The actual length of the table is 1 more, to stop
# index-out-of-bounds errors. This should match the bitwise operation
# to find `i` in `zigurrat` in `libstd/rand/mod.rs`. Also the *_R and
# *_V constants below depend on this value.
TABLE_LEN = 256
# equivalent to `zigNorInit` in Doornik2005, but generalised to any
# distribution. r = dR, v = dV, f = probability density function,
# f_inv = inverse of f
def tables(r, v, f, f_inv):
# compute the x_i
xvec = [0]*(TABLE_LEN+1)
xvec[0] = v / f(r)
xvec[1] = r
for i in range(2, TABLE_LEN):
last = xvec[i-1]
xvec[i] = f_inv(v / last + f(last))
# cache the f's
fvec = [0]*(TABLE_LEN+1)
for i in range(TABLE_LEN+1):
fvec[i] = f(xvec[i])
return xvec, fvec
# Distributions
# N(0, 1)
def norm_f(x):
return exp(-x*x/2.0)
def norm_f_inv(y):
return sqrt(-2.0*log(y))
NORM_R = 3.6541528853610088
NORM_V = 0.00492867323399
NORM = tables(NORM_R, NORM_V,
norm_f, norm_f_inv)
# Exp(1)
def exp_f(x):
return exp(-x)
def exp_f_inv(y):
return -log(y)
EXP_R = 7.69711747013104972
EXP_V = 0.0039496598225815571993
EXP = tables(EXP_R, EXP_V,
exp_f, exp_f_inv)
# Output the tables/constants/types
def render_static(name, type, value):
# no space or
return 'pub static %s: %s =%s;\n' % (name, type, value)
# static `name`: [`type`, .. `len(values)`] =
# [values[0], ..., values[3],
# values[4], ..., values[7],
# ... ];
def render_table(name, values):
rows = []
# 4 values on each row
for i in range(0, len(values), 4):
row = values[i:i+4]
rows.append(', '.join('%.18f' % f for f in row))
rendered = '\n [%s]' % ',\n '.join(rows)
return render_static(name, '[f64, .. %d]' % len(values), rendered)
with open('ziggurat_tables.rs', 'w') as f:
f.write('''// Copyright 2013 The Rust Project Developers. See the COPYRIGHT
// file at the top-level directory of this distribution and at
// http://rust-lang.org/COPYRIGHT.
//
// Licensed under the Apache License, Version 2.0 <LICENSE-APACHE or
// http://www.apache.org/licenses/LICENSE-2.0> or the MIT license
// <LICENSE-MIT or http://opensource.org/licenses/MIT>, at your
// option. This file may not be copied, modified, or distributed
// except according to those terms.
// Tables for distributions which are sampled using the ziggurat
// algorithm. Autogenerated by `ziggurat_tables.py`.
pub type ZigTable = &\'static [f64, .. %d];
''' % (TABLE_LEN + 1))
for name, tables, r in [('NORM', NORM, NORM_R),
('EXP', EXP, EXP_R)]:
f.write(render_static('ZIG_%s_R' % name, 'f64', ' %.18f' % r))
for (tabname, table) in zip(TABLE_NAMES, tables):
f.write(render_table('ZIG_%s_%s' % (name, tabname), table))

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@ -1 +0,0 @@
{"files":{"Cargo.toml":"01199fa6ca6337a7513e9ef8951268b8882347e5affaa50e710ac4960d9c65e0","LICENSE-APACHE":"a60eea817514531668d7e00765731449fe14d059d3249e0bc93b36de45f759f2","LICENSE-MIT":"6485b8ed310d3f0340bf1ad1f47645069ce4069dcc6bb46c7d5c6faf41de1fdb","README.md":"0aebc3beb6fc32d6073582d5fea170761689a2c83cddb5436aa26e57b7d04e7b","appveyor.yml":"da991211b72fa6f231af7adb84c9fb72f5a9131d1c0a3d47b8ceffe5a82c8542","benches/base64.rs":"96f7d0c7d260362e41b8cefb4839f1e1b3c18c2f10344f6ccafac7c434f99ca9","benches/hex.rs":"057821307b4b7de02f2c267f9248457386035382916c5afe4b72d6f2e905062c","benches/json.rs":"659f2ae2e1ad5ed022fafce6418d17dfe09c3dcb3f054857dce0effc907da850","src/base64.rs":"57649c590c1fba643ff955910f1d4427feda43414bb0863cd279bea56c3ff178","src/collection_impls.rs":"8ae6bc0d61a4777d834c2b24fa987550cb13c570e1564f87ee32eceff3cb2d5b","src/hex.rs":"a2ba86cf47035b5d9cbf4adf8dc3e941d4e0a6ce1a61a29cbb14ea1fdabac6bb","src/json.rs":"75a788a46612c73bfd14af20fb48855dc8c930747c5255a288d2d09de25ea960","src/lib.rs":"a0e4a368a609f019434e7584f54448cf33ebf3e37e3fb1dd5537d300088184b1","src/serialize.rs":"7ddcc3c32843850e30d05b82a8cda8ae63ec0016e2b0bfbcc46a03ea3ea986e8"},"package":"dcf128d1287d2ea9d80910b5f1120d0b8eede3fbf1abe91c40d39ea7d51e6fda"}

18
third_party/rust/rustc-serialize/Cargo.toml поставляемый
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@ -1,18 +0,0 @@
[package]
name = "rustc-serialize"
version = "0.3.24"
authors = ["The Rust Project Developers"]
license = "MIT/Apache-2.0"
readme = "README.md"
repository = "https://github.com/rust-lang/rustc-serialize"
homepage = "https://github.com/rust-lang/rustc-serialize"
documentation = "https://doc.rust-lang.org/rustc-serialize"
description = """
Generic serialization/deserialization support corresponding to the
`derive(RustcEncodable, RustcDecodable)` mode in the compiler. Also includes
support for hex, base64, and json encoding and decoding.
"""
[dev-dependencies]
rand = "0.3"

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@ -1,201 +0,0 @@
Apache License
Version 2.0, January 2004
http://www.apache.org/licenses/
TERMS AND CONDITIONS FOR USE, REPRODUCTION, AND DISTRIBUTION
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"License" shall mean the terms and conditions for use, reproduction,
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outstanding shares, or (iii) beneficial ownership of such entity.
"You" (or "Your") shall mean an individual or Legal Entity
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Copyright (c) 2014 The Rust Project Developers
Permission is hereby granted, free of charge, to any
person obtaining a copy of this software and associated
documentation files (the "Software"), to deal in the
Software without restriction, including without
limitation the rights to use, copy, modify, merge,
publish, distribute, sublicense, and/or sell copies of
the Software, and to permit persons to whom the Software
is furnished to do so, subject to the following
conditions:
The above copyright notice and this permission notice
shall be included in all copies or substantial portions
of the Software.
THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF
ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED
TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A
PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT
SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY
CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION
OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR
IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER
DEALINGS IN THE SOFTWARE.

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# rustc-serialize
> **NOTE**: This crate is deprecated in favor of [`serde`]. No new feature
> development will happen in this crate, although bug fixes proposed through PRs
> will still be merged. It is very highly recommended by the Rust Library Team
> that you use [`serde`], not this crate.
[`serde`]: https://serde.rs
Serialization and deserialization support provided by the compiler in the form
of `derive(RustcEncodable, RustcDecodable)`.
[![Linux Build Status](https://travis-ci.org/rust-lang-nursery/rustc-serialize.svg?branch=master)](https://travis-ci.org/rust-lang-nursery/rustc-serialize)
[![Windows Build Status](https://ci.appveyor.com/api/projects/status/ka194de75aapwpft?svg=true)](https://ci.appveyor.com/project/alexcrichton/rustc-serialize)
[Documentation](https://doc.rust-lang.org/rustc-serialize)
## Usage
Add this to your `Cargo.toml`:
```toml
[dependencies]
rustc-serialize = "0.3"
```
and this to your crate root:
```rust
extern crate rustc_serialize;
```

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environment:
matrix:
- TARGET: x86_64-pc-windows-msvc
- TARGET: i686-pc-windows-msvc
- TARGET: i686-pc-windows-gnu
install:
- ps: Start-FileDownload "https://static.rust-lang.org/dist/rust-nightly-${env:TARGET}.exe"
- rust-nightly-%TARGET%.exe /VERYSILENT /NORESTART /DIR="C:\Program Files (x86)\Rust"
- SET PATH=%PATH%;C:\Program Files (x86)\Rust\bin
- SET PATH=%PATH%;C:\MinGW\bin
- rustc -V
- cargo -V
build: false
test_script:
- cargo test --verbose

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#![feature(test)]
extern crate test;
extern crate rustc_serialize;
use rustc_serialize::base64::{FromBase64, ToBase64, STANDARD};
use test::Bencher;
#[bench]
fn bench_to_base64(b: &mut Bencher) {
let s = "イロハニホヘト チリヌルヲ ワカヨタレソ ツネナラム \
";
b.iter(|| {
s.as_bytes().to_base64(STANDARD);
});
b.bytes = s.len() as u64;
}
#[bench]
fn bench_from_base64(b: &mut Bencher) {
let s = "イロハニホヘト チリヌルヲ ワカヨタレソ ツネナラム \
";
let sb = s.as_bytes().to_base64(STANDARD);
b.iter(|| {
sb.from_base64().unwrap();
});
b.bytes = sb.len() as u64;
}
#[bench]
fn bench_to_base64_large(b: &mut Bencher) {
let s: Vec<_> = (0..10000).map(|i| ((i as u32 * 12345) % 256) as u8).collect();
b.iter(|| {
s.to_base64(STANDARD);
});
b.bytes = s.len() as u64;
}
#[bench]
fn bench_from_base64_large(b: &mut Bencher) {
let s: Vec<_> = (0..10000).map(|i| ((i as u32 * 12345) % 256) as u8).collect();
let sb = s.to_base64(STANDARD);
b.iter(|| {
sb.from_base64().unwrap();
});
b.bytes = sb.len() as u64;
}

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@ -1,28 +0,0 @@
#![feature(test)]
extern crate test;
extern crate rustc_serialize;
use test::Bencher;
use rustc_serialize::hex::{FromHex, ToHex};
#[bench]
fn bench_to_hex(b: &mut Bencher) {
let s = "イロハニホヘト チリヌルヲ ワカヨタレソ ツネナラム \
";
b.iter(|| {
s.as_bytes().to_hex();
});
b.bytes = s.len() as u64;
}
#[bench]
fn bench_from_hex(b: &mut Bencher) {
let s = "イロハニホヘト チリヌルヲ ワカヨタレソ ツネナラム \
";
let sb = s.as_bytes().to_hex();
b.iter(|| {
sb.from_hex().unwrap();
});
b.bytes = sb.len() as u64;
}

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@ -1,84 +0,0 @@
#![feature(test)]
extern crate test;
extern crate rustc_serialize;
use std::string;
use rustc_serialize::json::{Json, Parser};
use test::Bencher;
#[bench]
fn bench_streaming_small(b: &mut Bencher) {
b.iter( || {
let mut parser = Parser::new(
r#"{
"a": 1.0,
"b": [
true,
"foo\nbar",
{ "c": {"d": null} }
]
}"#.chars()
);
loop {
match parser.next() {
None => return,
_ => {}
}
}
});
}
#[bench]
fn bench_small(b: &mut Bencher) {
b.iter( || {
let _ = Json::from_str(r#"{
"a": 1.0,
"b": [
true,
"foo\nbar",
{ "c": {"d": null} }
]
}"#);
});
}
#[bench]
fn bench_decode_hex_escape(b: &mut Bencher) {
let mut src = "\"".to_string();
for _ in 0..10 {
src.push_str("\\uF975\\uf9bc\\uF9A0\\uF9C4\\uF975\\uf9bc\\uF9A0\\uF9C4");
}
src.push_str("\"");
b.iter( || {
let _ = Json::from_str(&src);
});
}
fn big_json() -> string::String {
let mut src = "[\n".to_string();
for _ in 0..500 {
src.push_str(r#"{ "a": true, "b": null, "c":3.1415, "d": "Hello world", "e": \
[1,2,3]},"#);
}
src.push_str("{}]");
return src;
}
#[bench]
fn bench_streaming_large(b: &mut Bencher) {
let src = big_json();
b.iter( || {
let mut parser = Parser::new(src.chars());
loop {
match parser.next() {
None => return,
_ => {}
}
}
});
}
#[bench]
fn bench_large(b: &mut Bencher) {
let src = big_json();
b.iter( || { let _ = Json::from_str(&src); });
}

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