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distributions.rs
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distributions.rs
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// Copyright 2018 Developers of the Rand project.
//
// Licensed under the Apache License, Version 2.0 <LICENSE-APACHE or
// https://www.apache.org/licenses/LICENSE-2.0> or the MIT license
// <LICENSE-MIT or https://opensource.org/licenses/MIT>, at your
// option. This file may not be copied, modified, or distributed
// except according to those terms.
#![feature(test)]
extern crate test;
extern crate rand;
extern crate rand_distr;
const RAND_BENCH_N: u64 = 1000;
use std::mem::size_of;
#[cfg(rustc_1_28)]
use std::num::{NonZeroU8, NonZeroU16, NonZeroU32, NonZeroU64, NonZeroU128};
use test::Bencher;
use std::time::Duration;
use rand::prelude::*;
use rand_distr::{*, weighted::WeightedIndex};
macro_rules! distr_int {
($fnn:ident, $ty:ty, $distr:expr) => {
#[bench]
fn $fnn(b: &mut Bencher) {
let mut rng = SmallRng::from_entropy();
let distr = $distr;
b.iter(|| {
let mut accum = 0 as $ty;
for _ in 0..::RAND_BENCH_N {
let x: $ty = distr.sample(&mut rng);
accum = accum.wrapping_add(x);
}
accum
});
b.bytes = size_of::<$ty>() as u64 * ::RAND_BENCH_N;
}
}
}
macro_rules! distr_nz_int {
($fnn:ident, $tynz:ty, $ty:ty, $distr:expr) => {
#[bench]
fn $fnn(b: &mut Bencher) {
let mut rng = SmallRng::from_entropy();
let distr = $distr;
b.iter(|| {
let mut accum = 0 as $ty;
for _ in 0..::RAND_BENCH_N {
let x: $tynz = distr.sample(&mut rng);
accum = accum.wrapping_add(x.get());
}
accum
});
b.bytes = size_of::<$ty>() as u64 * ::RAND_BENCH_N;
}
}
}
macro_rules! distr_float {
($fnn:ident, $ty:ty, $distr:expr) => {
#[bench]
fn $fnn(b: &mut Bencher) {
let mut rng = SmallRng::from_entropy();
let distr = $distr;
b.iter(|| {
let mut accum = 0.0;
for _ in 0..::RAND_BENCH_N {
let x: $ty = distr.sample(&mut rng);
accum += x;
}
accum
});
b.bytes = size_of::<$ty>() as u64 * ::RAND_BENCH_N;
}
}
}
macro_rules! distr_duration {
($fnn:ident, $distr:expr) => {
#[bench]
fn $fnn(b: &mut Bencher) {
let mut rng = SmallRng::from_entropy();
let distr = $distr;
b.iter(|| {
let mut accum = Duration::new(0, 0);
for _ in 0..::RAND_BENCH_N {
let x: Duration = distr.sample(&mut rng);
accum = accum.checked_add(x).unwrap_or(Duration::new(u64::max_value(), 999_999_999));
}
accum
});
b.bytes = size_of::<Duration>() as u64 * ::RAND_BENCH_N;
}
}
}
macro_rules! distr {
($fnn:ident, $ty:ty, $distr:expr) => {
#[bench]
fn $fnn(b: &mut Bencher) {
let mut rng = SmallRng::from_entropy();
let distr = $distr;
b.iter(|| {
let mut accum = 0u32;
for _ in 0..::RAND_BENCH_N {
let x: $ty = distr.sample(&mut rng);
accum = accum.wrapping_add(x as u32);
}
accum
});
b.bytes = size_of::<$ty>() as u64 * ::RAND_BENCH_N;
}
}
}
macro_rules! distr_arr {
($fnn:ident, $ty:ty, $distr:expr) => {
#[bench]
fn $fnn(b: &mut Bencher) {
let mut rng = SmallRng::from_entropy();
let distr = $distr;
b.iter(|| {
let mut accum = 0u32;
for _ in 0..::RAND_BENCH_N {
let x: $ty = distr.sample(&mut rng);
accum = accum.wrapping_add(x[0] as u32);
}
accum
});
b.bytes = size_of::<$ty>() as u64 * ::RAND_BENCH_N;
}
}
}
// uniform
distr_int!(distr_uniform_i8, i8, Uniform::new(20i8, 100));
distr_int!(distr_uniform_i16, i16, Uniform::new(-500i16, 2000));
distr_int!(distr_uniform_i32, i32, Uniform::new(-200_000_000i32, 800_000_000));
distr_int!(distr_uniform_i64, i64, Uniform::new(3i64, 123_456_789_123));
distr_int!(distr_uniform_i128, i128, Uniform::new(-123_456_789_123i128, 123_456_789_123_456_789));
distr_float!(distr_uniform_f32, f32, Uniform::new(2.26f32, 2.319));
distr_float!(distr_uniform_f64, f64, Uniform::new(2.26f64, 2.319));
const LARGE_SEC: u64 = u64::max_value() / 1000;
distr_duration!(distr_uniform_duration_largest,
Uniform::new_inclusive(Duration::new(0, 0), Duration::new(u64::max_value(), 999_999_999))
);
distr_duration!(distr_uniform_duration_large,
Uniform::new(Duration::new(0, 0), Duration::new(LARGE_SEC, 1_000_000_000 / 2))
);
distr_duration!(distr_uniform_duration_one,
Uniform::new(Duration::new(0, 0), Duration::new(1, 0))
);
distr_duration!(distr_uniform_duration_variety,
Uniform::new(Duration::new(10000, 423423), Duration::new(200000, 6969954))
);
distr_duration!(distr_uniform_duration_edge,
Uniform::new_inclusive(Duration::new(LARGE_SEC, 999_999_999), Duration::new(LARGE_SEC + 1, 1))
);
// standard
distr_int!(distr_standard_i8, i8, Standard);
distr_int!(distr_standard_i16, i16, Standard);
distr_int!(distr_standard_i32, i32, Standard);
distr_int!(distr_standard_i64, i64, Standard);
distr_int!(distr_standard_i128, i128, Standard);
#[cfg(rustc_1_28)] distr_nz_int!(distr_standard_nz8, NonZeroU8, u8, Standard);
#[cfg(rustc_1_28)] distr_nz_int!(distr_standard_nz16, NonZeroU16, u16, Standard);
#[cfg(rustc_1_28)] distr_nz_int!(distr_standard_nz32, NonZeroU32, u32, Standard);
#[cfg(rustc_1_28)] distr_nz_int!(distr_standard_nz64, NonZeroU64, u64, Standard);
#[cfg(rustc_1_28)] distr_nz_int!(distr_standard_nz128, NonZeroU128, u128, Standard);
distr!(distr_standard_bool, bool, Standard);
distr!(distr_standard_alphanumeric, char, Alphanumeric);
distr!(distr_standard_codepoint, char, Standard);
distr_float!(distr_standard_f32, f32, Standard);
distr_float!(distr_standard_f64, f64, Standard);
distr_float!(distr_open01_f32, f32, Open01);
distr_float!(distr_open01_f64, f64, Open01);
distr_float!(distr_openclosed01_f32, f32, OpenClosed01);
distr_float!(distr_openclosed01_f64, f64, OpenClosed01);
// distributions
distr_float!(distr_exp, f64, Exp::new(1.23 * 4.56).unwrap());
distr_float!(distr_normal, f64, Normal::new(-1.23, 4.56).unwrap());
distr_float!(distr_log_normal, f64, LogNormal::new(-1.23, 4.56).unwrap());
distr_float!(distr_gamma_large_shape, f64, Gamma::new(10., 1.0).unwrap());
distr_float!(distr_gamma_small_shape, f64, Gamma::new(0.1, 1.0).unwrap());
distr_float!(distr_cauchy, f64, Cauchy::new(4.2, 6.9).unwrap());
distr_float!(distr_triangular, f64, Triangular::new(0., 1., 0.9).unwrap());
distr_int!(distr_binomial, u64, Binomial::new(20, 0.7).unwrap());
distr_int!(distr_binomial_small, u64, Binomial::new(1000000, 1e-30).unwrap());
distr_int!(distr_poisson, u64, Poisson::new(4.0).unwrap());
distr!(distr_bernoulli, bool, Bernoulli::new(0.18).unwrap());
distr_arr!(distr_circle, [f64; 2], UnitCircle);
distr_arr!(distr_sphere, [f64; 3], UnitSphere);
// Weighted
distr_int!(distr_weighted_i8, usize, WeightedIndex::new(&[1i8, 2, 3, 4, 12, 0, 2, 1]).unwrap());
distr_int!(distr_weighted_u32, usize, WeightedIndex::new(&[1u32, 2, 3, 4, 12, 0, 2, 1]).unwrap());
distr_int!(distr_weighted_f64, usize, WeightedIndex::new(&[1.0f64, 0.001, 1.0/3.0, 4.01, 0.0, 3.3, 22.0, 0.001]).unwrap());
distr_int!(distr_weighted_large_set, usize, WeightedIndex::new((0..10000).rev().chain(1..10001)).unwrap());
distr_int!(distr_weighted_alias_method_i8, usize, weighted::alias_method::WeightedIndex::new(vec![1i8, 2, 3, 4, 12, 0, 2, 1]).unwrap());
distr_int!(distr_weighted_alias_method_u32, usize, weighted::alias_method::WeightedIndex::new(vec![1u32, 2, 3, 4, 12, 0, 2, 1]).unwrap());
distr_int!(distr_weighted_alias_method_f64, usize, weighted::alias_method::WeightedIndex::new(vec![1.0f64, 0.001, 1.0/3.0, 4.01, 0.0, 3.3, 22.0, 0.001]).unwrap());
distr_int!(distr_weighted_alias_method_large_set, usize, weighted::alias_method::WeightedIndex::new((0..10000).rev().chain(1..10001).collect()).unwrap());
// construct and sample from a range
macro_rules! gen_range_int {
($fnn:ident, $ty:ident, $low:expr, $high:expr) => {
#[bench]
fn $fnn(b: &mut Bencher) {
let mut rng = SmallRng::from_entropy();
b.iter(|| {
let mut high = $high;
let mut accum: $ty = 0;
for _ in 0..::RAND_BENCH_N {
accum = accum.wrapping_add(rng.gen_range($low, high));
// force recalculation of range each time
high = high.wrapping_add(1) & std::$ty::MAX;
}
accum
});
b.bytes = size_of::<$ty>() as u64 * ::RAND_BENCH_N;
}
}
}
gen_range_int!(gen_range_i8, i8, -20i8, 100);
gen_range_int!(gen_range_i16, i16, -500i16, 2000);
gen_range_int!(gen_range_i32, i32, -200_000_000i32, 800_000_000);
gen_range_int!(gen_range_i64, i64, 3i64, 123_456_789_123);
gen_range_int!(gen_range_i128, i128, -12345678901234i128, 123_456_789_123_456_789);
// construct and sample from a floating-point range
macro_rules! gen_range_float {
($fnn:ident, $ty:ident, $low:expr, $high:expr) => {
#[bench]
fn $fnn(b: &mut Bencher) {
let mut rng = SmallRng::from_entropy();
b.iter(|| {
let mut high = $high;
let mut low = $low;
let mut accum: $ty = 0.0;
for _ in 0..::RAND_BENCH_N {
accum += rng.gen_range(low, high);
// force recalculation of range each time
low += 0.9;
high += 1.1;
}
accum
});
b.bytes = size_of::<$ty>() as u64 * ::RAND_BENCH_N;
}
}
}
gen_range_float!(gen_range_f32, f32, -20000.0f32, 100000.0);
gen_range_float!(gen_range_f64, f64, 123.456f64, 7890.12);
#[bench]
fn dist_iter(b: &mut Bencher) {
let mut rng = SmallRng::from_entropy();
let distr = Normal::new(-2.71828, 3.14159).unwrap();
let mut iter = distr.sample_iter(&mut rng);
b.iter(|| {
let mut accum = 0.0;
for _ in 0..::RAND_BENCH_N {
accum += iter.next().unwrap();
}
accum
});
b.bytes = size_of::<f64>() as u64 * ::RAND_BENCH_N;
}
macro_rules! sample_binomial {
($name:ident, $n:expr, $p:expr) => {
#[bench]
fn $name(b: &mut Bencher) {
let mut rng = SmallRng::from_rng(&mut thread_rng()).unwrap();
let (n, p) = ($n, $p);
b.iter(|| {
let d = Binomial::new(n, p).unwrap();
rng.sample(d)
})
}
}
}
sample_binomial!(misc_binomial_1, 1, 0.9);
sample_binomial!(misc_binomial_10, 10, 0.9);
sample_binomial!(misc_binomial_100, 100, 0.99);
sample_binomial!(misc_binomial_1000, 1000, 0.01);
sample_binomial!(misc_binomial_1e12, 1000_000_000_000, 0.2);