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diff --git a/rand/rand_distr/src/weibull.rs b/rand/rand_distr/src/weibull.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.
+
+//! The Weibull distribution.
+
+use rand::Rng;
+use crate::{Distribution, OpenClosed01};
+use crate::utils::Float;
+
+/// Samples floating-point numbers according to the Weibull distribution
+///
+/// # Example
+/// ```
+/// use rand::prelude::*;
+/// use rand_distr::Weibull;
+///
+/// let val: f64 = thread_rng().sample(Weibull::new(1., 10.).unwrap());
+/// println!("{}", val);
+/// ```
+#[derive(Clone, Copy, Debug)]
+pub struct Weibull<N> {
+    inv_shape: N,
+    scale: N,
+}
+
+/// Error type returned from `Weibull::new`.
+#[derive(Clone, Copy, Debug, PartialEq, Eq)]
+pub enum Error {
+    /// `scale <= 0` or `nan`.
+    ScaleTooSmall,
+    /// `shape <= 0` or `nan`.
+    ShapeTooSmall,
+}
+
+impl<N: Float> Weibull<N>
+where OpenClosed01: Distribution<N>
+{
+    /// Construct a new `Weibull` distribution with given `scale` and `shape`.
+    pub fn new(scale: N, shape: N) -> Result<Weibull<N>, Error> {
+        if !(scale > N::from(0.0)) {
+            return Err(Error::ScaleTooSmall);
+        }
+        if !(shape > N::from(0.0)) {
+            return Err(Error::ShapeTooSmall);
+        }
+        Ok(Weibull { inv_shape: N::from(1.)/shape, scale })
+    }
+}
+
+impl<N: Float> Distribution<N> for Weibull<N>
+where OpenClosed01: Distribution<N>
+{
+    fn sample<R: Rng + ?Sized>(&self, rng: &mut R) -> N {
+        let x: N = rng.sample(OpenClosed01);
+        self.scale * (-x.ln()).powf(self.inv_shape)
+    }
+}
+
+#[cfg(test)]
+mod tests {
+    use crate::Distribution;
+    use super::Weibull;
+
+    #[test]
+    #[should_panic]
+    fn invalid() {
+        Weibull::new(0., 0.).unwrap();
+    }
+
+    #[test]
+    fn sample() {
+        let scale = 1.0;
+        let shape = 2.0;
+        let d = Weibull::new(scale, shape).unwrap();
+        let mut rng = crate::test::rng(1);
+        for _ in 0..1000 {
+            let r = d.sample(&mut rng);
+            assert!(r >= 0.);
+        }
+    }
+}