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Diffstat (limited to 'rand/src/distributions/pareto.rs')
-rw-r--r-- | rand/src/distributions/pareto.rs | 74 |
1 files changed, 74 insertions, 0 deletions
diff --git a/rand/src/distributions/pareto.rs b/rand/src/distributions/pareto.rs new file mode 100644 index 0000000..744a157 --- /dev/null +++ b/rand/src/distributions/pareto.rs @@ -0,0 +1,74 @@ +// 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. + +//! The Pareto distribution. + +use Rng; +use distributions::{Distribution, OpenClosed01}; + +/// Samples floating-point numbers according to the Pareto distribution +/// +/// # Example +/// ``` +/// use rand::prelude::*; +/// use rand::distributions::Pareto; +/// +/// let val: f64 = SmallRng::from_entropy().sample(Pareto::new(1., 2.)); +/// println!("{}", val); +/// ``` +#[derive(Clone, Copy, Debug)] +pub struct Pareto { + scale: f64, + inv_neg_shape: f64, +} + +impl Pareto { + /// Construct a new Pareto distribution with given `scale` and `shape`. + /// + /// In the literature, `scale` is commonly written as x<sub>m</sub> or k and + /// `shape` is often written as α. + /// + /// # Panics + /// + /// `scale` and `shape` have to be non-zero and positive. + pub fn new(scale: f64, shape: f64) -> Pareto { + assert!((scale > 0.) & (shape > 0.)); + Pareto { scale, inv_neg_shape: -1.0 / shape } + } +} + +impl Distribution<f64> for Pareto { + fn sample<R: Rng + ?Sized>(&self, rng: &mut R) -> f64 { + let u: f64 = rng.sample(OpenClosed01); + self.scale * u.powf(self.inv_neg_shape) + } +} + +#[cfg(test)] +mod tests { + use distributions::Distribution; + use super::Pareto; + + #[test] + #[should_panic] + fn invalid() { + Pareto::new(0., 0.); + } + + #[test] + fn sample() { + let scale = 1.0; + let shape = 2.0; + let d = Pareto::new(scale, shape); + let mut rng = ::test::rng(1); + for _ in 0..1000 { + let r = d.sample(&mut rng); + assert!(r >= scale); + } + } +} |