oximedia-metering 0.1.8

Professional broadcast audio metering: ITU-R BS.1770-4, EBU R128, ATSC A/85
Documentation
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//! Phase and stereo analysis meters.
//!
//! Implements:
//! - Phase correlation meter (-1 to +1)
//! - Goniometer (Lissajous) display data
//! - Phase scope (L vs R)
//! - Stereo width analysis

use crate::{MeteringError, MeteringResult};
use std::collections::VecDeque;

/// Phase correlation meter.
///
/// Measures the phase correlation between two channels (typically L and R).
/// Correlation ranges from -1 (completely out of phase) to +1 (completely in phase).
pub struct PhaseCorrelationMeter {
    sample_rate: f64,
    integration_time: f64,
    buffer_size: usize,
    left_buffer: VecDeque<f64>,
    right_buffer: VecDeque<f64>,
    correlation: f64,
}

impl PhaseCorrelationMeter {
    /// Create a new phase correlation meter.
    ///
    /// # Arguments
    ///
    /// * `sample_rate` - Sample rate in Hz
    /// * `integration_time` - Integration window in seconds (typically 0.4 for momentary)
    ///
    /// # Errors
    ///
    /// Returns error if configuration is invalid.
    pub fn new(sample_rate: f64, integration_time: f64) -> MeteringResult<Self> {
        if sample_rate <= 0.0 {
            return Err(MeteringError::InvalidConfig(
                "Sample rate must be positive".to_string(),
            ));
        }

        if integration_time <= 0.0 {
            return Err(MeteringError::InvalidConfig(
                "Integration time must be positive".to_string(),
            ));
        }

        let buffer_size = (sample_rate * integration_time) as usize;

        Ok(Self {
            sample_rate,
            integration_time,
            buffer_size,
            left_buffer: VecDeque::with_capacity(buffer_size),
            right_buffer: VecDeque::with_capacity(buffer_size),
            correlation: 0.0,
        })
    }

    /// Process a stereo sample pair.
    ///
    /// # Arguments
    ///
    /// * `left` - Left channel sample
    /// * `right` - Right channel sample
    pub fn process(&mut self, left: f64, right: f64) {
        // Add to buffers
        if self.left_buffer.len() >= self.buffer_size {
            self.left_buffer.pop_front();
        }
        if self.right_buffer.len() >= self.buffer_size {
            self.right_buffer.pop_front();
        }

        self.left_buffer.push_back(left);
        self.right_buffer.push_back(right);

        // Calculate correlation when buffer is full
        if self.left_buffer.len() == self.buffer_size {
            self.update_correlation();
        }
    }

    /// Process interleaved stereo samples.
    ///
    /// # Arguments
    ///
    /// * `samples` - Interleaved stereo samples [L, R, L, R, ...]
    pub fn process_interleaved(&mut self, samples: &[f64]) {
        for chunk in samples.chunks_exact(2) {
            self.process(chunk[0], chunk[1]);
        }
    }

    /// Update the correlation calculation.
    fn update_correlation(&mut self) {
        let n = self.left_buffer.len();
        if n == 0 {
            self.correlation = 0.0;
            return;
        }

        // Calculate means
        let left_mean: f64 = self.left_buffer.iter().sum::<f64>() / n as f64;
        let right_mean: f64 = self.right_buffer.iter().sum::<f64>() / n as f64;

        // Calculate correlation coefficient
        let mut numerator = 0.0;
        let mut left_variance = 0.0;
        let mut right_variance = 0.0;

        for i in 0..n {
            let left_diff = self.left_buffer[i] - left_mean;
            let right_diff = self.right_buffer[i] - right_mean;

            numerator += left_diff * right_diff;
            left_variance += left_diff * left_diff;
            right_variance += right_diff * right_diff;
        }

        let denominator = (left_variance * right_variance).sqrt();

        self.correlation = if denominator > 0.0 {
            (numerator / denominator).clamp(-1.0, 1.0)
        } else {
            0.0
        };
    }

    /// Get the current phase correlation value.
    ///
    /// Returns a value from -1 (completely out of phase) to +1 (completely in phase).
    pub fn correlation(&self) -> f64 {
        self.correlation
    }

    /// Check if the signal is mono (correlation near +1).
    pub fn is_mono(&self) -> bool {
        self.correlation > 0.95
    }

    /// Check if the signal has phase issues (correlation < 0).
    pub fn has_phase_issues(&self) -> bool {
        self.correlation < 0.0
    }

    /// Reset the meter.
    pub fn reset(&mut self) {
        self.left_buffer.clear();
        self.right_buffer.clear();
        self.correlation = 0.0;
    }
}

/// Goniometer point for Lissajous display.
#[derive(Clone, Debug)]
pub struct GoniometerPoint {
    /// Mid (M = L + R) component.
    pub mid: f64,
    /// Side (S = L - R) component.
    pub side: f64,
}

/// Goniometer for stereo field visualization.
///
/// Provides data for a Lissajous display showing the stereo image.
pub struct Goniometer {
    sample_rate: f64,
    history_size: usize,
    points: VecDeque<GoniometerPoint>,
}

impl Goniometer {
    /// Create a new goniometer.
    ///
    /// # Arguments
    ///
    /// * `sample_rate` - Sample rate in Hz
    /// * `history_duration` - History duration in seconds
    pub fn new(sample_rate: f64, history_duration: f64) -> Self {
        let history_size = (sample_rate * history_duration) as usize;

        Self {
            sample_rate,
            history_size,
            points: VecDeque::with_capacity(history_size),
        }
    }

    /// Process a stereo sample pair.
    ///
    /// # Arguments
    ///
    /// * `left` - Left channel sample
    /// * `right` - Right channel sample
    pub fn process(&mut self, left: f64, right: f64) {
        // Convert to Mid/Side
        let mid = (left + right) / 2.0;
        let side = (left - right) / 2.0;

        if self.points.len() >= self.history_size {
            self.points.pop_front();
        }

        self.points.push_back(GoniometerPoint { mid, side });
    }

    /// Process interleaved stereo samples.
    pub fn process_interleaved(&mut self, samples: &[f64]) {
        for chunk in samples.chunks_exact(2) {
            self.process(chunk[0], chunk[1]);
        }
    }

    /// Get the goniometer points for display.
    pub fn points(&self) -> &VecDeque<GoniometerPoint> {
        &self.points
    }

    /// Reset the goniometer.
    pub fn reset(&mut self) {
        self.points.clear();
    }
}

/// Stereo width analyzer.
pub struct StereoWidthAnalyzer {
    sample_rate: f64,
    correlation_meter: PhaseCorrelationMeter,
    mid_energy: f64,
    side_energy: f64,
    smoothing_factor: f64,
}

impl StereoWidthAnalyzer {
    /// Create a new stereo width analyzer.
    ///
    /// # Arguments
    ///
    /// * `sample_rate` - Sample rate in Hz
    ///
    /// # Errors
    ///
    /// Returns error if configuration is invalid.
    pub fn new(sample_rate: f64) -> MeteringResult<Self> {
        let correlation_meter = PhaseCorrelationMeter::new(sample_rate, 0.4)?;

        Ok(Self {
            sample_rate,
            correlation_meter,
            mid_energy: 0.0,
            side_energy: 0.0,
            smoothing_factor: 0.99, // Smoothing coefficient
        })
    }

    /// Process a stereo sample pair.
    pub fn process(&mut self, left: f64, right: f64) {
        // Update correlation
        self.correlation_meter.process(left, right);

        // Calculate Mid/Side
        let mid = (left + right) / 2.0;
        let side = (left - right) / 2.0;

        // Update energies with smoothing
        self.mid_energy =
            self.smoothing_factor * self.mid_energy + (1.0 - self.smoothing_factor) * (mid * mid);
        self.side_energy = self.smoothing_factor * self.side_energy
            + (1.0 - self.smoothing_factor) * (side * side);
    }

    /// Process interleaved stereo samples.
    pub fn process_interleaved(&mut self, samples: &[f64]) {
        for chunk in samples.chunks_exact(2) {
            self.process(chunk[0], chunk[1]);
        }
    }

    /// Get the stereo width percentage (0-200%).
    ///
    /// - 0%: mono signal
    /// - 100%: normal stereo
    /// - 200%: maximum stereo width
    pub fn width_percentage(&self) -> f64 {
        let total_energy = self.mid_energy + self.side_energy;

        if total_energy > 0.0 {
            let side_ratio = self.side_energy / total_energy;
            side_ratio * 200.0
        } else {
            0.0
        }
    }

    /// Get the phase correlation.
    pub fn correlation(&self) -> f64 {
        self.correlation_meter.correlation()
    }

    /// Get the Mid energy level in dB.
    pub fn mid_level_db(&self) -> f64 {
        if self.mid_energy > 0.0 {
            10.0 * self.mid_energy.log10()
        } else {
            f64::NEG_INFINITY
        }
    }

    /// Get the Side energy level in dB.
    pub fn side_level_db(&self) -> f64 {
        if self.side_energy > 0.0 {
            10.0 * self.side_energy.log10()
        } else {
            f64::NEG_INFINITY
        }
    }

    /// Reset the analyzer.
    pub fn reset(&mut self) {
        self.correlation_meter.reset();
        self.mid_energy = 0.0;
        self.side_energy = 0.0;
    }
}

#[cfg(test)]
mod tests {
    use super::*;

    #[test]
    fn test_phase_correlation_mono() {
        // Use a short integration window (0.01 s at 1000 Hz) so buffer_size = 10
        // and we only need ~10 samples to fill it — keeping O(N*buffer_size) tiny.
        let mut meter = PhaseCorrelationMeter::new(1000.0, 0.01).expect("test expectation failed");

        // Feed identical varying signals (mono) - use sine wave; 200 samples is plenty.
        for i in 0..200 {
            let t = i as f64 / 1000.0;
            let signal = (2.0 * std::f64::consts::PI * 100.0 * t).sin() * 0.5;
            meter.process(signal, signal);
        }

        // Should be perfectly correlated
        let corr = meter.correlation();
        assert!(
            corr > 0.95,
            "Correlation {:.3} should be > 0.95 for mono signal",
            corr
        );
        assert!(meter.is_mono());
    }

    #[test]
    fn test_phase_correlation_out_of_phase() {
        // Use a short integration window (0.01 s at 1000 Hz) so buffer_size = 10.
        let mut meter = PhaseCorrelationMeter::new(1000.0, 0.01).expect("test expectation failed");

        // Feed inverted varying signals (out of phase) - use sine wave; 200 samples is plenty.
        for i in 0..200 {
            let t = i as f64 / 1000.0;
            let signal = (2.0 * std::f64::consts::PI * 100.0 * t).sin() * 0.5;
            meter.process(signal, -signal);
        }

        // Should be negatively correlated
        let corr = meter.correlation();
        assert!(
            corr < -0.95,
            "Correlation {:.3} should be < -0.95 for out-of-phase signal",
            corr
        );
        assert!(meter.has_phase_issues());
    }

    #[test]
    fn test_phase_correlation_stereo() {
        let mut meter = PhaseCorrelationMeter::new(48000.0, 0.1).expect("test expectation failed");

        // Feed uncorrelated signals
        for i in 0..5000 {
            let t = i as f64 / 48000.0;
            let left = (2.0 * std::f64::consts::PI * 1000.0 * t).sin();
            let right = (2.0 * std::f64::consts::PI * 1500.0 * t).sin();
            meter.process(left, right);
        }

        // Should have low correlation
        assert!(meter.correlation().abs() < 0.5);
    }

    #[test]
    fn test_goniometer() {
        let mut goniometer = Goniometer::new(48000.0, 0.1);

        // Process some samples
        for i in 0..100 {
            let t = i as f64 / 100.0;
            goniometer.process(t, -t);
        }

        assert_eq!(goniometer.points().len(), 100);
    }

    #[test]
    fn test_stereo_width_mono() {
        let mut analyzer = StereoWidthAnalyzer::new(48000.0).expect("test expectation failed");

        // Feed mono signal
        for _ in 0..5000 {
            analyzer.process(0.5, 0.5);
        }

        // Width should be near 0% for mono
        assert!(analyzer.width_percentage() < 10.0);
    }

    #[test]
    fn test_stereo_width_stereo() {
        let mut analyzer = StereoWidthAnalyzer::new(48000.0).expect("test expectation failed");

        // Feed pure side signal (maximum stereo)
        for _ in 0..5000 {
            analyzer.process(0.5, -0.5);
        }

        // Width should be high for wide stereo
        assert!(analyzer.width_percentage() > 150.0);
    }

    #[test]
    fn test_phase_meter_reset() {
        let mut meter = PhaseCorrelationMeter::new(48000.0, 0.1).expect("test expectation failed");

        for _ in 0..1000 {
            meter.process(0.5, 0.5);
        }

        meter.reset();

        assert_eq!(meter.correlation(), 0.0);
    }
}

// ── Types merged from phase_analysis module ──────────────────────────────────

/// Result of a per-block phase analysis operation.
#[derive(Clone, Debug)]
pub struct PhaseResult {
    /// Pearson correlation coefficient between L and R (-1.0 to +1.0).
    pub correlation: f64,
    /// Goniometer (M/S rotated) scatter points for display.
    pub goniometer_points: Vec<(f64, f64)>,
    /// True if correlation > 0 (channels are in phase).
    pub is_in_phase: bool,
    /// Mono compatibility score (0.0 = completely out of phase, 1.0 = fully mono-compatible).
    pub mono_compatibility: f64,
}

/// Compute the Pearson correlation coefficient between two channels.
///
/// Returns a value in [-1.0, +1.0].
#[must_use]
pub fn compute_phase_correlation(left: &[f64], right: &[f64]) -> f64 {
    let n = left.len().min(right.len());
    if n == 0 {
        return 0.0;
    }

    let mut sum_l = 0.0f64;
    let mut sum_r = 0.0f64;

    for i in 0..n {
        sum_l += left[i];
        sum_r += right[i];
    }

    let nf = n as f64;
    let mean_l = sum_l / nf;
    let mean_r = sum_r / nf;

    let mut cov = 0.0f64;
    let mut var_l = 0.0f64;
    let mut var_r = 0.0f64;

    for i in 0..n {
        let dl = left[i] - mean_l;
        let dr = right[i] - mean_r;
        cov += dl * dr;
        var_l += dl * dl;
        var_r += dr * dr;
    }

    let denom = (var_l * var_r).sqrt();
    if denom < 1e-15 {
        if var_l < 1e-15 && var_r < 1e-15 {
            1.0
        } else {
            0.0
        }
    } else {
        (cov / denom).clamp(-1.0, 1.0)
    }
}

/// Compute a mono compatibility score.
///
/// Measures the ratio of mono sum energy to stereo difference energy.
/// A score of 1.0 indicates perfect mono compatibility; 0.0 indicates
/// complete phase cancellation.
#[must_use]
pub fn mono_compatibility_score(left: &[f64], right: &[f64]) -> f64 {
    let n = left.len().min(right.len());
    if n == 0 {
        return 1.0;
    }

    let mut sum_energy = 0.0f64;
    let mut diff_energy = 0.0f64;

    for i in 0..n {
        let sum = left[i] + right[i];
        let diff = left[i] - right[i];
        sum_energy += sum * sum;
        diff_energy += diff * diff;
    }

    let total = sum_energy + diff_energy;
    if total < 1e-15 {
        return 1.0;
    }
    sum_energy / total
}

/// Convert a stereo L/R sample pair to M/S coordinates for goniometer display.
///
/// Rotates by 45 degrees: M = (L + R) / sqrt(2), S = (L - R) / sqrt(2).
#[must_use]
pub fn goniometer_sample(left: f64, right: f64) -> (f64, f64) {
    let mid = (left + right) / std::f64::consts::SQRT_2;
    let side = (left - right) / std::f64::consts::SQRT_2;
    (mid, side)
}

/// Compute the stereo width of a stereo signal.
///
/// Returns 0.0 for pure mono, 1.0 for normal stereo, >1.0 for super-wide.
#[must_use]
pub fn stereo_width(left: &[f64], right: &[f64]) -> f64 {
    let n = left.len().min(right.len());
    if n == 0 {
        return 0.0;
    }

    let mut mid_energy = 0.0f64;
    let mut side_energy = 0.0f64;

    for i in 0..n {
        let mid = (left[i] + right[i]) / 2.0;
        let side = (left[i] - right[i]) / 2.0;
        mid_energy += mid * mid;
        side_energy += side * side;
    }

    let total = mid_energy + side_energy;
    if total < 1e-15 {
        return 0.0;
    }
    if mid_energy < 1e-15 {
        return 4.0;
    }
    (side_energy / mid_energy).sqrt().min(4.0)
}

/// Detect if the right channel appears to be a polarity-inverted copy of the left.
///
/// Returns true if the correlation is strongly negative (< -0.8).
#[must_use]
pub fn detect_polarity_inversion(left: &[f64], right: &[f64]) -> bool {
    compute_phase_correlation(left, right) < -0.8
}

/// Streaming phase analyzer with windowed history.
pub struct PhaseAnalyzer {
    /// Window size in samples.
    pub window_size: usize,
    /// History of correlation values.
    pub history: Vec<f64>,
}

impl PhaseAnalyzer {
    /// Create a new phase analyzer.
    #[must_use]
    pub fn new(window_size: usize) -> Self {
        let size = window_size.max(1);
        Self {
            window_size: size,
            history: Vec::new(),
        }
    }

    /// Update the analyzer with a new block of stereo samples and return a [`PhaseResult`].
    pub fn update(&mut self, left: &[f64], right: &[f64]) -> PhaseResult {
        let correlation = compute_phase_correlation(left, right);
        self.history.push(correlation);
        if self.history.len() > 100 {
            self.history.remove(0);
        }

        let n = left.len().min(right.len());
        let goniometer_points: Vec<(f64, f64)> = (0..n.min(256))
            .map(|i| goniometer_sample(left[i], right[i]))
            .collect();

        let mono_compat = mono_compatibility_score(left, right);

        PhaseResult {
            correlation,
            goniometer_points,
            is_in_phase: correlation >= 0.0,
            mono_compatibility: mono_compat,
        }
    }

    /// Get the average correlation over all history.
    #[must_use]
    pub fn average_correlation(&self) -> f64 {
        if self.history.is_empty() {
            return 0.0;
        }
        self.history.iter().sum::<f64>() / self.history.len() as f64
    }
}

#[cfg(test)]
mod phase_analysis_tests {
    use super::*;

    fn sine_wave_f64(freq: f64, sample_rate: f64, n: usize, phase_offset: f64) -> Vec<f64> {
        (0..n)
            .map(|i| {
                let t = i as f64 / sample_rate;
                (2.0 * std::f64::consts::PI * freq * t + phase_offset).sin()
            })
            .collect()
    }

    #[test]
    fn test_phase_correlation_identical() {
        let left = sine_wave_f64(440.0, 48000.0, 4800, 0.0);
        let right = left.clone();
        let corr = compute_phase_correlation(&left, &right);
        assert!((corr - 1.0).abs() < 1e-6, "corr = {corr}");
    }

    #[test]
    fn test_phase_correlation_inverted() {
        let left = sine_wave_f64(440.0, 48000.0, 4800, 0.0);
        let right: Vec<f64> = left.iter().map(|&x| -x).collect();
        let corr = compute_phase_correlation(&left, &right);
        assert!((corr + 1.0).abs() < 1e-6, "corr = {corr}");
    }

    #[test]
    fn test_phase_correlation_empty() {
        assert_eq!(compute_phase_correlation(&[], &[]), 0.0);
    }

    #[test]
    fn test_mono_compatibility_mono_signal() {
        let signal: Vec<f64> = (0..480).map(|i| (i as f64 / 480.0).sin()).collect();
        let score = mono_compatibility_score(&signal, &signal);
        assert!((score - 1.0).abs() < 1e-6, "score = {score}");
    }

    #[test]
    fn test_mono_compatibility_inverted() {
        let signal: Vec<f64> = (0..480).map(|i| (i as f64 * 0.1).sin()).collect();
        let inverted: Vec<f64> = signal.iter().map(|&x| -x).collect();
        let score = mono_compatibility_score(&signal, &inverted);
        assert!(score < 0.01, "score = {score}");
    }

    #[test]
    fn test_goniometer_sample_mono() {
        let (mid, side) = goniometer_sample(0.5, 0.5);
        assert!((mid - 0.5 * std::f64::consts::SQRT_2).abs() < 1e-10);
        assert!(side.abs() < 1e-10);
    }

    #[test]
    fn test_stereo_width_mono_is_zero() {
        let signal: Vec<f64> = (0..480).map(|i| (i as f64 * 0.01).sin()).collect();
        let width = stereo_width(&signal, &signal);
        assert!(width < 0.01, "width = {width}");
    }

    #[test]
    fn test_stereo_width_empty() {
        assert_eq!(stereo_width(&[], &[]), 0.0);
    }

    #[test]
    fn test_detect_polarity_inversion_true() {
        let left = sine_wave_f64(1000.0, 48000.0, 4800, 0.0);
        let right: Vec<f64> = left.iter().map(|&x| -x).collect();
        assert!(detect_polarity_inversion(&left, &right));
    }

    #[test]
    fn test_detect_polarity_inversion_false() {
        let left = sine_wave_f64(1000.0, 48000.0, 4800, 0.0);
        let right = left.clone();
        assert!(!detect_polarity_inversion(&left, &right));
    }

    #[test]
    fn test_phase_analyzer_update() {
        let mut analyzer = PhaseAnalyzer::new(4800);
        let left = sine_wave_f64(440.0, 48000.0, 4800, 0.0);
        let right = left.clone();
        let result = analyzer.update(&left, &right);
        assert!((result.correlation - 1.0).abs() < 1e-6);
        assert!(result.is_in_phase);
        assert!(!result.goniometer_points.is_empty());
    }

    #[test]
    fn test_phase_analyzer_history() {
        let mut analyzer = PhaseAnalyzer::new(480);
        let left = sine_wave_f64(440.0, 48000.0, 480, 0.0);
        let right = left.clone();
        for _ in 0..5 {
            analyzer.update(&left, &right);
        }
        assert_eq!(analyzer.history.len(), 5);
        let avg = analyzer.average_correlation();
        assert!((avg - 1.0).abs() < 1e-6);
    }
}