Files
Phoenix/src/correlation.rs
T

282 lines
9.3 KiB
Rust

//! Continuous stereo correlation meter.
//!
//! The detector integrates L², R² and L·R with the same time constant and
//! derives the normalized correlation only afterwards. Its timing therefore
//! does not depend on ALSA period size or browser frame rate.
#[derive(Clone, Debug)]
pub struct CorrelationMeter {
sample_rate: u32,
response_seconds: f32,
alpha: f64,
gate_alpha: f64,
silence_threshold_db: f32,
silence_threshold_power: f64,
power_l: f64,
power_r: f64,
cross_power: f64,
gate_power: f64,
value: f32,
negative_peak: f32,
reset_token: u64,
}
impl CorrelationMeter {
pub fn new(
sample_rate: u32,
response_seconds: f32,
silence_threshold_db: f32,
reset_token: u64,
) -> Self {
let mut meter = Self {
sample_rate: 0,
response_seconds: 0.0,
alpha: 1.0,
gate_alpha: 1.0,
silence_threshold_db: -75.0,
silence_threshold_power: 10.0_f64.powf(-7.5),
power_l: 0.0,
power_r: 0.0,
cross_power: 0.0,
gate_power: 0.0,
value: 0.0,
negative_peak: 0.0,
reset_token,
};
meter.configure(
sample_rate,
response_seconds,
silence_threshold_db,
reset_token,
);
meter
}
pub fn configure(
&mut self,
sample_rate: u32,
response_seconds: f32,
silence_threshold_db: f32,
reset_token: u64,
) {
let sample_rate = sample_rate.max(8_000);
let response_seconds = normalize_response_seconds(response_seconds);
let silence_threshold_db = normalize_silence_threshold_db(silence_threshold_db);
if self.sample_rate != sample_rate || self.response_seconds != response_seconds {
self.sample_rate = sample_rate;
self.response_seconds = response_seconds;
self.alpha =
1.0 - (-1.0 / (f64::from(sample_rate) * f64::from(response_seconds))).exp();
// The silence decision must react independently of the selected
// correlation response time. A 50 ms RMS envelope avoids both
// sample-zero chatter and multi-second threshold lag.
self.gate_alpha = 1.0 - (-1.0 / (f64::from(sample_rate) * 0.05)).exp();
}
if self.silence_threshold_db != silence_threshold_db {
self.silence_threshold_db = silence_threshold_db;
self.silence_threshold_power =
10.0_f64.powf(f64::from(silence_threshold_db) / 10.0);
}
if self.reset_token != reset_token {
self.reset_token = reset_token;
self.negative_peak = 0.0;
}
}
pub fn process(&mut self, left: f32, right: f32) {
let l = f64::from(left);
let r = f64::from(right);
self.power_l += self.alpha * (l * l - self.power_l);
self.power_r += self.alpha * (r * r - self.power_r);
self.cross_power += self.alpha * (l * r - self.cross_power);
self.gate_power += self.gate_alpha
* (0.5 * (l * l + r * r) - self.gate_power);
// Below the configured mono RMS threshold the correlation indication
// settles at its neutral position.
const MIN_POWER: f64 = 1.0e-10;
let denominator = (self.power_l * self.power_r).sqrt();
self.value = if self.gate_power >= self.silence_threshold_power
&& self.power_l > MIN_POWER
&& self.power_r > MIN_POWER
&& denominator > 0.0
{
(self.cross_power / denominator).clamp(-1.0, 1.0) as f32
} else {
0.0
};
if self.value < self.negative_peak {
self.negative_peak = self.value;
}
}
pub fn value(&self) -> f32 {
self.value
}
pub fn negative_peak(&self) -> f32 {
self.negative_peak
}
}
pub fn normalize_response_seconds(value: f32) -> f32 {
if !value.is_finite() || value <= 0.0 {
1.0
} else if value < 0.75 {
0.5
} else if value < 1.75 {
1.0
} else {
2.5
}
}
pub fn normalize_silence_threshold_db(value: f32) -> f32 {
if value.is_finite() {
value.clamp(-90.0, -40.0)
} else {
-75.0
}
}
#[cfg(test)]
mod tests {
use super::*;
fn run_signal<F>(meter: &mut CorrelationMeter, seconds: usize, mut signal: F)
where
F: FnMut(usize) -> (f32, f32),
{
let count = meter.sample_rate as usize * seconds;
for index in 0..count {
let (left, right) = signal(index);
meter.process(left, right);
}
}
#[test]
fn detects_positive_negative_and_quadrature_signals() {
let sample_rate = 48_000;
let phase_step = 2.0 * std::f32::consts::PI * 1_000.0 / sample_rate as f32;
for (phase, expected) in [
(0.0, 1.0),
(std::f32::consts::PI, -1.0),
(std::f32::consts::FRAC_PI_2, 0.0),
] {
let mut meter = CorrelationMeter::new(sample_rate, 1.0, -75.0, 0);
run_signal(&mut meter, 5, |index| {
let angle = phase_step * index as f32;
(angle.sin(), (angle + phase).sin())
});
assert!(
(meter.value() - expected).abs() < 0.002,
"phase {phase}: {}",
meter.value()
);
}
}
#[test]
fn response_time_and_peak_reset_are_deterministic() {
let sample_rate = 48_000;
let mut fast = CorrelationMeter::new(sample_rate, 1.0, -75.0, 0);
let mut slow = CorrelationMeter::new(sample_rate, 2.5, -75.0, 0);
for index in 0..sample_rate as usize {
let sample = if index & 1 == 0 { 0.5 } else { -0.5 };
fast.process(sample, sample);
slow.process(sample, sample);
}
assert!(fast.value() > 0.999);
assert!(slow.value() > 0.999);
run_signal(&mut fast, 2, |index| {
let sample = if index & 1 == 0 { 0.5 } else { -0.5 };
(sample, -sample)
});
assert!(fast.negative_peak() < -0.7);
fast.configure(sample_rate, 1.0, -75.0, 1);
assert_eq!(fast.negative_peak(), 0.0);
}
#[test]
fn fast_response_tracks_a_phase_reversal_before_slow_response() {
let sample_rate = 48_000;
let mut very_fast = CorrelationMeter::new(sample_rate, 0.5, -75.0, 0);
let mut fast = CorrelationMeter::new(sample_rate, 1.0, -75.0, 0);
let mut slow = CorrelationMeter::new(sample_rate, 2.5, -75.0, 0);
for index in 0..sample_rate as usize * 5 {
let sample = if index & 1 == 0 { 0.5 } else { -0.5 };
very_fast.process(sample, sample);
fast.process(sample, sample);
slow.process(sample, sample);
}
for index in 0..sample_rate as usize {
let sample = if index & 1 == 0 { 0.5 } else { -0.5 };
very_fast.process(sample, -sample);
fast.process(sample, -sample);
slow.process(sample, -sample);
}
assert!(very_fast.value() < fast.value() - 0.35);
assert!(fast.value() < slow.value() - 0.35);
assert!(very_fast.negative_peak() < fast.negative_peak());
assert!(fast.negative_peak() < 0.0);
assert_eq!(slow.negative_peak(), 0.0);
}
#[test]
fn response_time_normalization_accepts_all_three_profiles() {
assert_eq!(normalize_response_seconds(0.5), 0.5);
assert_eq!(normalize_response_seconds(1.0), 1.0);
assert_eq!(normalize_response_seconds(2.5), 2.5);
assert_eq!(normalize_response_seconds(f32::NAN), 1.0);
assert_eq!(normalize_response_seconds(0.0), 1.0);
}
#[test]
fn configurable_silence_threshold_neutralizes_the_meter() {
let sample_rate = 48_000;
let amplitude = 10.0_f32.powf(-64.0 / 20.0);
let mut meter = CorrelationMeter::new(sample_rate, 0.5, -75.0, 0);
run_signal(&mut meter, 1, |index| {
let sample = if index & 1 == 0 {
amplitude
} else {
-amplitude
};
(sample, sample)
});
assert!(meter.value() > 0.99);
meter.configure(sample_rate, 0.5, -50.0, 0);
run_signal(&mut meter, 1, |index| {
let sample = if index & 1 == 0 {
amplitude
} else {
-amplitude
};
(sample, sample)
});
assert_eq!(meter.value(), 0.0);
}
#[test]
fn silence_threshold_is_normalized_to_the_ui_range() {
assert_eq!(normalize_silence_threshold_db(-50.0), -50.0);
assert_eq!(normalize_silence_threshold_db(-100.0), -90.0);
assert_eq!(normalize_silence_threshold_db(-20.0), -40.0);
assert_eq!(normalize_silence_threshold_db(f32::NAN), -75.0);
}
#[test]
fn silence_and_single_channel_are_neutral() {
let mut meter = CorrelationMeter::new(48_000, 1.0, -75.0, 0);
run_signal(&mut meter, 2, |_| (0.0, 0.0));
assert_eq!(meter.value(), 0.0);
assert_eq!(meter.negative_peak(), 0.0);
run_signal(&mut meter, 2, |index| {
let sample = if index & 1 == 0 { 0.5 } else { -0.5 };
(sample, 0.0)
});
assert_eq!(meter.value(), 0.0);
}
}