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-rw-r--r--rand/rand_distr/src/unit_circle.rs99
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diff --git a/rand/rand_distr/src/unit_circle.rs b/rand/rand_distr/src/unit_circle.rs
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--- a/rand/rand_distr/src/unit_circle.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.
-
-use rand::Rng;
-use crate::{Distribution, Uniform, uniform::SampleUniform};
-use crate::utils::Float;
-
-/// Samples uniformly from the edge of the unit circle in two dimensions.
-///
-/// Implemented via a method by von Neumann[^1].
-///
-///
-/// # Example
-///
-/// ```
-/// use rand_distr::{UnitCircle, Distribution};
-///
-/// let v: [f64; 2] = UnitCircle.sample(&mut rand::thread_rng());
-/// println!("{:?} is from the unit circle.", v)
-/// ```
-///
-/// [^1]: von Neumann, J. (1951) [*Various Techniques Used in Connection with
-/// Random Digits.*](https://mcnp.lanl.gov/pdf_files/nbs_vonneumann.pdf)
-/// NBS Appl. Math. Ser., No. 12. Washington, DC: U.S. Government Printing
-/// Office, pp. 36-38.
-#[derive(Clone, Copy, Debug)]
-pub struct UnitCircle;
-
-impl<N: Float + SampleUniform> Distribution<[N; 2]> for UnitCircle {
- #[inline]
- fn sample<R: Rng + ?Sized>(&self, rng: &mut R) -> [N; 2] {
- let uniform = Uniform::new(N::from(-1.), N::from(1.));
- let mut x1;
- let mut x2;
- let mut sum;
- loop {
- x1 = uniform.sample(rng);
- x2 = uniform.sample(rng);
- sum = x1*x1 + x2*x2;
- if sum < N::from(1.) {
- break;
- }
- }
- let diff = x1*x1 - x2*x2;
- [diff / sum, N::from(2.)*x1*x2 / sum]
- }
-}
-
-#[cfg(test)]
-mod tests {
- use crate::Distribution;
- use super::UnitCircle;
-
- /// Assert that two numbers are almost equal to each other.
- ///
- /// On panic, this macro will print the values of the expressions with their
- /// debug representations.
- macro_rules! assert_almost_eq {
- ($a:expr, $b:expr, $prec:expr) => (
- let diff = ($a - $b).abs();
- if diff > $prec {
- panic!(format!(
- "assertion failed: `abs(left - right) = {:.1e} < {:e}`, \
- (left: `{}`, right: `{}`)",
- diff, $prec, $a, $b));
- }
- );
- }
-
- #[test]
- fn norm() {
- let mut rng = crate::test::rng(1);
- for _ in 0..1000 {
- let x: [f64; 2] = UnitCircle.sample(&mut rng);
- assert_almost_eq!(x[0]*x[0] + x[1]*x[1], 1., 1e-15);
- }
- }
-
- #[test]
- fn value_stability() {
- let mut rng = crate::test::rng(2);
- let expected = [
- [-0.9965658683520504, -0.08280380447614634],
- [-0.9790853270389644, -0.20345004884984505],
- [-0.8449189758898707, 0.5348943112253227],
- ];
- let samples: [[f64; 2]; 3] = [
- UnitCircle.sample(&mut rng),
- UnitCircle.sample(&mut rng),
- UnitCircle.sample(&mut rng),
- ];
- assert_eq!(samples, expected);
- }
-}