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//! EBU R128 / ITU-R BS.1770 loudness metering.
//!
//! Implements the K-weighted integrated loudness algorithm described in
//! EBU R128 and ITU-R BS.1770-4, including:
//!
//! - **K-weighting filter** — two cascaded biquad stages (pre-filter + RLB).
//! - **400 ms gating block** with 75 % overlap (100 ms hop).
//! - **Absolute gate** at −70 LUFS.
//! - **Relative gate** at −10 LU below the ungated mean.
//!
//! The `R128Meter` accepts mono f32 blocks (normalized to `[-1.0, 1.0]`) and
//! computes the integrated programme loudness in LUFS.
//!
//! # Example
//!
//! ```rust
//! use oximedia_audio::r128::R128Meter;
//!
//! let mut meter = R128Meter::new(48_000);
//! // Feed 1 second of -23 LUFS sine at 1 kHz (very rough approximation).
//! let block: Vec<f32> = (0..480).map(|i| (i as f32 * 0.13).sin() * 0.224).collect();
//! for _ in 0..10 {
//! meter.add_block(&block);
//! }
//! let lufs = meter.integrated_lufs();
//! assert!(lufs < 0.0);
//! ```
#![forbid(unsafe_code)]
#![allow(clippy::cast_precision_loss)]
use std::f64::consts::PI;
// ── K-weighting biquad ────────────────────────────────────────────────────────
/// Simple direct-form-I biquad filter (f64 for precision).
#[derive(Clone, Debug)]
struct Biquad {
b0: f64,
b1: f64,
b2: f64,
a1: f64,
a2: f64,
z1: f64,
z2: f64,
}
impl Biquad {
fn process(&mut self, x: f64) -> f64 {
let y = self.b0 * x + self.z1;
self.z1 = self.b1 * x - self.a1 * y + self.z2;
self.z2 = self.b2 * x - self.a2 * y;
y
}
/// High-shelf pre-filter (first stage of K-weighting), fs-dependent.
fn k_prefilter(fs: f64) -> Self {
// Coefficients from ITU-R BS.1770-4 Annex 1 (normalized for 48 kHz,
// recomputed analytically for arbitrary fs via bilinear transform).
let f0 = 1681.974_450_955_533;
let g = 3.999_843_853_973_347; // dB shelf gain
let q = 0.707_9955_960_838_675_5;
let k = (PI * f0 / fs).tan();
let vh = 10.0_f64.powf(g / 20.0);
let vb = vh.sqrt();
let a0 = 1.0 + k / q + k * k;
Self {
b0: (vh + vb * k / q + k * k) / a0,
b1: 2.0 * (k * k - vh) / a0,
b2: (vh - vb * k / q + k * k) / a0,
a1: 2.0 * (k * k - 1.0) / a0,
a2: (1.0 - k / q + k * k) / a0,
z1: 0.0,
z2: 0.0,
}
}
/// RLB high-pass filter (second stage of K-weighting).
fn k_rlb(fs: f64) -> Self {
let f0 = 38.135_473_580_000_00;
let q = 0.5;
let k = (PI * f0 / fs).tan();
let a0 = 1.0 + k / q + k * k;
Self {
b0: 1.0 / a0,
b1: -2.0 / a0,
b2: 1.0 / a0,
a1: 2.0 * (k * k - 1.0) / a0,
a2: (1.0 - k / q + k * k) / a0,
z1: 0.0,
z2: 0.0,
}
}
}
// ── R128Meter ─────────────────────────────────────────────────────────────────
/// EBU R128 integrated loudness meter (mono).
///
/// Feed audio in arbitrary-length blocks via [`add_block`]; retrieve the
/// current integrated loudness with [`integrated_lufs`].
pub struct R128Meter {
sample_rate: u32,
/// K-weighting pre-filter.
pre: Biquad,
/// K-weighting RLB filter.
rlb: Biquad,
/// Accumulated samples for the current 400 ms gate block.
gate_buf: Vec<f64>,
/// Target block length in samples (400 ms).
block_len: usize,
/// Hop size in samples (100 ms, 75 % overlap).
hop_len: usize,
/// Offset within the current gate block.
block_offset: usize,
/// Mean squared values per completed gating block.
block_ms: Vec<f64>,
}
impl R128Meter {
/// Create a new meter for the given sample rate.
#[must_use]
pub fn new(sample_rate: u32) -> Self {
let fs = sample_rate as f64;
let block_len = ((400e-3) * fs) as usize;
let hop_len = ((100e-3) * fs) as usize;
Self {
sample_rate,
pre: Biquad::k_prefilter(fs),
rlb: Biquad::k_rlb(fs),
gate_buf: vec![0.0; block_len],
block_len,
hop_len,
block_offset: 0,
block_ms: Vec::new(),
}
}
/// Reset all internal state.
pub fn reset(&mut self) {
*self = Self::new(self.sample_rate);
}
/// Feed a block of samples.
///
/// Samples should be linear amplitude in `[-1.0, 1.0]`.
pub fn add_block(&mut self, block: &[f32]) {
for &s in block {
// Apply K-weighting.
let kw = self.rlb.process(self.pre.process(s as f64));
self.gate_buf[self.block_offset] = kw * kw;
self.block_offset += 1;
if self.block_offset >= self.block_len {
// Compute mean square over the block.
let ms: f64 = self.gate_buf.iter().sum::<f64>() / self.block_len as f64;
self.block_ms.push(ms);
// Slide window by hop_len.
self.gate_buf.copy_within(self.hop_len.., 0);
self.block_offset = self.block_len - self.hop_len;
}
}
}
/// Integrated programme loudness in LUFS (EBU R128).
///
/// Returns `f32::NEG_INFINITY` if no gating blocks have been completed.
#[must_use]
pub fn integrated_lufs(&self) -> f32 {
if self.block_ms.is_empty() {
return f32::NEG_INFINITY;
}
// Absolute gate: −70 LUFS → linear MS threshold.
let abs_gate_ms = 10.0_f64.powf((-70.0 - 0.691) / 10.0);
let above_abs: Vec<f64> = self
.block_ms
.iter()
.copied()
.filter(|&ms| ms > abs_gate_ms)
.collect();
if above_abs.is_empty() {
return f32::NEG_INFINITY;
}
// Ungated mean.
let ungated_mean = above_abs.iter().sum::<f64>() / above_abs.len() as f64;
let ungated_lufs = -0.691 + 10.0 * ungated_mean.log10();
// Relative gate: −10 LU below ungated.
let rel_gate_lufs = ungated_lufs - 10.0;
let rel_gate_ms = 10.0_f64.powf((rel_gate_lufs - 0.691) / 10.0);
let above_rel: Vec<f64> = self
.block_ms
.iter()
.copied()
.filter(|&ms| ms > rel_gate_ms)
.collect();
if above_rel.is_empty() {
return f32::NEG_INFINITY;
}
let gated_mean = above_rel.iter().sum::<f64>() / above_rel.len() as f64;
let lufs = -0.691 + 10.0 * gated_mean.log10();
lufs as f32
}
/// Short-term loudness of the most recently completed 3-second window.
///
/// Returns `f32::NEG_INFINITY` if insufficient data.
#[must_use]
pub fn short_term_lufs(&self) -> f32 {
// 3 s = 30 × 100 ms hops.
let window = 30;
if self.block_ms.len() < window {
return f32::NEG_INFINITY;
}
let recent: &[f64] = &self.block_ms[self.block_ms.len() - window..];
let mean = recent.iter().sum::<f64>() / window as f64;
if mean <= 0.0 {
return f32::NEG_INFINITY;
}
(-0.691 + 10.0 * mean.log10()) as f32
}
/// Number of completed gating blocks accumulated so far.
#[must_use]
pub fn block_count(&self) -> usize {
self.block_ms.len()
}
}
// ── Tests ─────────────────────────────────────────────────────────────────────
#[cfg(test)]
mod tests {
use super::*;
use std::f32::consts::PI as PI32;
/// Generate a mono sine wave at `freq_hz` for `duration_secs` at `fs`.
fn sine(fs: u32, freq_hz: f32, duration_secs: f32, amplitude: f32) -> Vec<f32> {
let n = (fs as f32 * duration_secs) as usize;
(0..n)
.map(|i| amplitude * (2.0 * PI32 * freq_hz * i as f32 / fs as f32).sin())
.collect()
}
#[test]
fn test_empty_meter_returns_neg_inf() {
let meter = R128Meter::new(48_000);
assert_eq!(meter.integrated_lufs(), f32::NEG_INFINITY);
}
#[test]
fn test_meter_produces_finite_value_after_data() {
let mut meter = R128Meter::new(48_000);
let sig = sine(48_000, 1000.0, 3.0, 0.2236); // ~-23 LUFS approximate
meter.add_block(&sig);
let lufs = meter.integrated_lufs();
assert!(lufs.is_finite() || lufs == f32::NEG_INFINITY);
}
#[test]
fn test_louder_signal_gives_higher_lufs() {
let mut low = R128Meter::new(48_000);
let mut high = R128Meter::new(48_000);
let quiet = sine(48_000, 1000.0, 5.0, 0.05);
let loud = sine(48_000, 1000.0, 5.0, 0.5);
low.add_block(&quiet);
high.add_block(&loud);
let lufs_low = low.integrated_lufs();
let lufs_high = high.integrated_lufs();
if lufs_low.is_finite() && lufs_high.is_finite() {
assert!(
lufs_high > lufs_low,
"louder signal {lufs_high} should exceed quieter {lufs_low}"
);
}
}
#[test]
fn test_block_count_increases() {
let mut meter = R128Meter::new(48_000);
assert_eq!(meter.block_count(), 0);
let sig = vec![0.1f32; 48_000]; // 1 second → several 400 ms blocks
meter.add_block(&sig);
assert!(meter.block_count() > 0);
}
#[test]
fn test_reset_clears_state() {
let mut meter = R128Meter::new(48_000);
let sig = vec![0.2f32; 48_000];
meter.add_block(&sig);
meter.reset();
assert_eq!(meter.block_count(), 0);
assert_eq!(meter.integrated_lufs(), f32::NEG_INFINITY);
}
#[test]
fn test_short_term_insufficient_data_returns_neg_inf() {
let mut meter = R128Meter::new(48_000);
let sig = vec![0.2f32; 1000]; // very short
meter.add_block(&sig);
// Less than 3 seconds worth → NEG_INFINITY.
let st = meter.short_term_lufs();
assert_eq!(st, f32::NEG_INFINITY);
}
#[test]
fn test_add_block_small_chunks() {
let mut meter = R128Meter::new(48_000);
// Add data in tiny chunks.
for _ in 0..1000 {
meter.add_block(&[0.1, 0.1, 0.1, 0.1]);
}
// Should not panic and should produce a finite or -inf result.
let lufs = meter.integrated_lufs();
assert!(lufs.is_finite() || lufs == f32::NEG_INFINITY);
}
}