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use numbers::*;
pub trait WindowFunction<T>: Sync
where T: RealNumber
{
fn is_symmetric(&self) -> bool;
fn window(&self, n: usize, length: usize) -> T;
}
pub struct TriangularWindow;
impl<T> WindowFunction<T> for TriangularWindow
where T: RealNumber
{
fn is_symmetric(&self) -> bool {
true
}
fn window(&self, n: usize, length: usize) -> T {
let one = T::one();
let two = T::from(2.0).unwrap();
let n = T::from(n).unwrap();
let length = T::from(length).unwrap();
one - ((n - (length - one) / two) / (length / two)).abs()
}
}
pub struct HammingWindow<T>
where T: RealNumber
{
alpha: T,
beta: T,
}
impl<T> HammingWindow<T>
where T: RealNumber
{
pub fn new(alpha: T) -> Self {
HammingWindow {
alpha: alpha,
beta: (T::one() - alpha),
}
}
pub fn default() -> Self {
Self::new(T::from(0.54).unwrap())
}
}
impl<T> WindowFunction<T> for HammingWindow<T>
where T: RealNumber
{
fn is_symmetric(&self) -> bool {
true
}
fn window(&self, n: usize, length: usize) -> T {
let one = T::one();
let two = T::from(2.0).unwrap();
let pi = T::PI();
let n = T::from(n).unwrap();
let length = T::from(length).unwrap();
self.alpha - self.beta * (two * pi * n / (length - one)).cos()
}
}
#[cfg(test)]
mod tests {
use super::*;
use std::fmt::Debug;
fn window_test<T, W>(window: W, expected: &[T])
where T: RealNumber + Debug,
W: WindowFunction<T>
{
let mut result = vec![T::zero(); expected.len()];
for i in 0..result.len() {
result[i] = window.window(i, result.len());
}
for i in 0..result.len() {
if (result[i] - expected[i]).abs() > T::from(1e-4).unwrap() {
panic!("assertion failed: {:?} != {:?}", result, expected);
}
}
}
#[test]
fn triangular_window32_test() {
let window = TriangularWindow;
let expected = [0.2, 0.6, 1.0, 0.6, 0.2];
window_test(window, &expected);
}
#[test]
fn hamming_window32_test() {
let hamming = HammingWindow::<f32>::default();
let expected = [0.08, 0.54, 1.0, 0.54, 0.08];
window_test(hamming, &expected);
}
}