use crate::float::{float, KDEFloat};
use crate::kernel::Kernel;
#[derive(Clone, Copy, Debug)]
pub struct Tricube;
impl<F: KDEFloat> Kernel<F> for Tricube {
fn pdf(&self, x: F) -> F {
let abs_x = x.abs();
if abs_x <= F::one() {
float!(70.0 / 81.0) * (F::one() - abs_x.powi(3)).powi(3)
} else {
F::zero()
}
}
}
#[cfg(test)]
mod tests {
use super::Tricube;
use crate::kernel::Kernel;
use approx::*;
#[test]
fn tricube() {
let kernel = Tricube;
let x = 0.0;
let res = kernel.pdf(x);
assert_relative_eq!(res, 0.86419, epsilon = 1.0e-5);
let x = -1.0;
let res = kernel.pdf(x);
assert_relative_eq!(res, 0.0, epsilon = 1.0e-5);
let x = 1.0;
let res = kernel.pdf(x);
assert_relative_eq!(res, 0.0, epsilon = 1.0e-5);
let x = 0.5;
let res = kernel.pdf(x);
assert_relative_eq!(res, 0.57895, epsilon = 1.0e-5);
}
}