use crate::infer::GraphExt as _;
use crate::op::Activation;
use crate::{DType, Graph, NodeId, fft::FftNorm};
#[derive(Clone, Copy, Debug, PartialEq, Eq)]
pub enum WindowKind {
Rectangular,
Hann,
Hamming,
Blackman,
}
impl WindowKind {
fn coeffs(self, n: usize) -> Vec<f32> {
use std::f32::consts::PI;
if n == 1 {
return vec![1.0];
}
let d = (n - 1) as f32;
(0..n)
.map(|i| {
let t = i as f32 / d;
match self {
WindowKind::Rectangular => 1.0,
WindowKind::Hann => 0.5 - 0.5 * (2.0 * PI * t).cos(),
WindowKind::Hamming => 0.54 - 0.46 * (2.0 * PI * t).cos(),
WindowKind::Blackman => {
0.42 - 0.5 * (2.0 * PI * t).cos() + 0.08 * (4.0 * PI * t).cos()
}
}
})
.collect()
}
}
impl Graph {
pub fn spectrogram(
&mut self,
x: NodeId,
frame_len: usize,
hop: usize,
window: WindowKind,
power: bool,
log: bool,
) -> NodeId {
assert!(frame_len > 0 && hop > 0, "spectrogram: frame_len/hop > 0");
let shape = self.shape(x).clone();
let last = shape.rank() - 1;
let t = shape.dim(last).unwrap_static();
assert!(t >= frame_len, "spectrogram: T {t} < frame_len {frame_len}");
let n_frames = 1 + (t - frame_len) / hop;
let mut rows = Vec::with_capacity(n_frames);
for f in 0..n_frames {
let start = f * hop;
let frame = self.narrow_(x, last, start, frame_len);
let mut dims: Vec<i64> = self
.shape(frame)
.dims()
.iter()
.map(|d| d.unwrap_static() as i64)
.collect();
dims.insert(0, 1);
rows.push(self.reshape_(frame, dims));
}
let framed = if rows.len() == 1 {
rows.pop().unwrap()
} else {
self.concat_(rows, 0)
};
let framed = if window == WindowKind::Rectangular {
framed
} else {
let w = self.const_f32_tensor(window.coeffs(frame_len), &[frame_len]);
self.mul(framed, w)
};
let (re, im) = self.rfft(framed, FftNorm::Backward);
let re2 = self.mul(re, re);
let im2 = self.mul(im, im);
let mag2 = self.add(re2, im2);
let out = if power { mag2 } else { self.sqrt(mag2) };
if log { self.log_eps(out, 1e-8) } else { out }
}
pub fn band_power(&mut self, x: NodeId, sample_rate: f32, bands: &[(f32, f32)]) -> NodeId {
assert!(!bands.is_empty(), "band_power: need ≥1 band");
let shape = self.shape(x).clone();
let last = shape.rank() - 1;
let t = shape.dim(last).unwrap_static();
let n_pad = crate::fft::next_pow2(t);
let n_bins = n_pad / 2 + 1;
let (re, im) = self.rfft(x, FftNorm::Backward);
let re2 = self.mul(re, re);
let im2 = self.mul(im, im);
let power = self.add(re2, im2); let plast = self.shape(power).rank() - 1;
let hz_per_bin = sample_rate / n_pad as f32;
let mut cols = Vec::with_capacity(bands.len());
for &(lo, hi) in bands {
let mut b0 = (lo / hz_per_bin).ceil() as isize;
let mut b1 = (hi / hz_per_bin).floor() as isize;
b0 = b0.clamp(0, n_bins as isize - 1);
b1 = b1.clamp(0, n_bins as isize - 1);
let (b0, b1) = if b1 < b0 { (b0, b0) } else { (b0, b1) };
let seg = self.narrow_(power, plast, b0 as usize, (b1 - b0 + 1) as usize);
cols.push(self.sum(seg, vec![plast], true)); }
if cols.len() == 1 {
cols.pop().unwrap()
} else {
self.concat_(cols, plast)
}
}
pub fn differential_entropy(
&mut self,
x: NodeId,
sample_rate: f32,
bands: &[(f32, f32)],
) -> NodeId {
let bp = self.band_power(x, sample_rate, bands);
let c = self.constant(2.0 * std::f64::consts::PI * std::f64::consts::E, DType::F32);
let scaled = self.mul(bp, c);
let logv = self.log_eps(scaled, 1e-8);
let half = self.constant(0.5, DType::F32);
self.mul(logv, half)
}
fn log_eps(&mut self, x: NodeId, eps: f32) -> NodeId {
let e = self.constant(eps as f64, DType::F32);
let shifted = self.add(x, e);
let s = crate::shape::unary_shape(self.shape(shifted));
self.activation(Activation::Log, shifted, s)
}
}
#[cfg(test)]
mod tests {
use super::*;
use crate::Shape;
fn dims(g: &Graph, id: NodeId) -> Vec<usize> {
g.shape(id)
.dims()
.iter()
.map(|d| d.unwrap_static())
.collect()
}
fn input(g: &mut Graph, shape: &[usize]) -> NodeId {
g.input("x", Shape::new(shape, DType::F32))
}
#[test]
fn spectrogram_shape() {
let mut g = Graph::new("spec");
let x = input(&mut g, &[2, 256]); let y = g.spectrogram(x, 64, 32, WindowKind::Hann, true, true);
assert_eq!(dims(&g, y), vec![7, 2, 33]);
}
#[test]
fn band_power_shape() {
let mut g = Graph::new("bp");
let x = input(&mut g, &[4, 512]); let bands = [
(0.5, 4.0),
(4.0, 8.0),
(8.0, 13.0),
(13.0, 30.0),
(30.0, 45.0),
];
let y = g.band_power(x, 128.0, &bands);
assert_eq!(dims(&g, y), vec![4, 5]);
}
#[test]
fn differential_entropy_shape() {
let mut g = Graph::new("de");
let x = input(&mut g, &[4, 512]);
let bands = [(1.0, 4.0), (4.0, 8.0), (8.0, 14.0)];
let y = g.differential_entropy(x, 200.0, &bands);
assert_eq!(dims(&g, y), vec![4, 3]);
}
}