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-rw-r--r--rand/rand_distr/src/exponential.rs145
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diff --git a/rand/rand_distr/src/exponential.rs b/rand/rand_distr/src/exponential.rs
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-// Copyright 2018 Developers of the Rand project.
-// Copyright 2013 The Rust Project Developers.
-//
-// 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.
-
-//! The exponential distribution.
-
-use rand::Rng;
-use crate::{ziggurat_tables, Distribution};
-use crate::utils::{ziggurat, Float};
-
-/// Samples floating-point numbers according to the exponential distribution,
-/// with rate parameter `λ = 1`. This is equivalent to `Exp::new(1.0)` or
-/// sampling with `-rng.gen::<f64>().ln()`, but faster.
-///
-/// 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*](
-/// https://www.doornik.com/research/ziggurat.pdf).
-/// Nuffield College, Oxford
-///
-/// # Example
-/// ```
-/// use rand::prelude::*;
-/// use rand_distr::Exp1;
-///
-/// let val: f64 = thread_rng().sample(Exp1);
-/// println!("{}", val);
-/// ```
-#[derive(Clone, Copy, Debug)]
-pub struct Exp1;
-
-impl Distribution<f32> for Exp1 {
- #[inline]
- fn sample<R: Rng + ?Sized>(&self, rng: &mut R) -> f32 {
- // TODO: use optimal 32-bit implementation
- let x: f64 = self.sample(rng);
- x as f32
- }
-}
-
-// This could be done via `-rng.gen::<f64>().ln()` but that is slower.
-impl Distribution<f64> for Exp1 {
- #[inline]
- fn sample<R: Rng + ?Sized>(&self, rng: &mut R) -> f64 {
- #[inline]
- fn pdf(x: f64) -> f64 {
- (-x).exp()
- }
- #[inline]
- fn zero_case<R: Rng + ?Sized>(rng: &mut R, _u: f64) -> f64 {
- ziggurat_tables::ZIG_EXP_R - rng.gen::<f64>().ln()
- }
-
- 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`.
-///
-/// Note that [`Exp1`](crate::Exp1) is an optimised implementation for `lambda = 1`.
-///
-/// # Example
-///
-/// ```
-/// use rand_distr::{Exp, Distribution};
-///
-/// let exp = Exp::new(2.0).unwrap();
-/// let v = exp.sample(&mut rand::thread_rng());
-/// println!("{} is from a Exp(2) distribution", v);
-/// ```
-#[derive(Clone, Copy, Debug)]
-pub struct Exp<N> {
- /// `lambda` stored as `1/lambda`, since this is what we scale by.
- lambda_inverse: N
-}
-
-/// Error type returned from `Exp::new`.
-#[derive(Clone, Copy, Debug, PartialEq, Eq)]
-pub enum Error {
- /// `lambda <= 0` or `nan`.
- LambdaTooSmall,
-}
-
-impl<N: Float> Exp<N>
-where Exp1: Distribution<N>
-{
- /// Construct a new `Exp` with the given shape parameter
- /// `lambda`.
- #[inline]
- pub fn new(lambda: N) -> Result<Exp<N>, Error> {
- if !(lambda > N::from(0.0)) {
- return Err(Error::LambdaTooSmall);
- }
- Ok(Exp { lambda_inverse: N::from(1.0) / lambda })
- }
-}
-
-impl<N: Float> Distribution<N> for Exp<N>
-where Exp1: Distribution<N>
-{
- fn sample<R: Rng + ?Sized>(&self, rng: &mut R) -> N {
- rng.sample(Exp1) * self.lambda_inverse
- }
-}
-
-#[cfg(test)]
-mod test {
- use crate::Distribution;
- use super::Exp;
-
- #[test]
- fn test_exp() {
- let exp = Exp::new(10.0).unwrap();
- let mut rng = crate::test::rng(221);
- for _ in 0..1000 {
- assert!(exp.sample(&mut rng) >= 0.0);
- }
- }
- #[test]
- #[should_panic]
- fn test_exp_invalid_lambda_zero() {
- Exp::new(0.0).unwrap();
- }
- #[test]
- #[should_panic]
- fn test_exp_invalid_lambda_neg() {
- Exp::new(-10.0).unwrap();
- }
-}