oximedia-metering 0.1.8

Professional broadcast audio metering: ITU-R BS.1770-4, EBU R128, ATSC A/85
Documentation
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
#![allow(dead_code)]
//! Loudness trending over time windows.
//!
//! Tracks loudness measurements over time to detect trends such as rising
//! or falling loudness, compute moving averages, and identify segments that
//! exceed compliance thresholds. Useful for long-form content monitoring.

/// A timestamped loudness measurement.
#[derive(Clone, Copy, Debug)]
pub struct LoudnessSample {
    /// Timestamp in seconds from start.
    pub time_seconds: f64,
    /// Momentary loudness in LUFS.
    pub momentary_lufs: f64,
    /// Short-term loudness in LUFS.
    pub short_term_lufs: f64,
}

impl LoudnessSample {
    /// Create a new sample.
    pub fn new(time_seconds: f64, momentary_lufs: f64, short_term_lufs: f64) -> Self {
        Self {
            time_seconds,
            momentary_lufs,
            short_term_lufs,
        }
    }
}

/// Trend direction.
#[derive(Clone, Copy, Debug, PartialEq, Eq)]
pub enum TrendDirection {
    /// Loudness is rising over time.
    Rising,
    /// Loudness is falling over time.
    Falling,
    /// Loudness is relatively stable.
    Stable,
    /// Not enough data to determine trend.
    Unknown,
}

/// Statistics for a segment of loudness data.
#[derive(Clone, Debug)]
pub struct LoudnessStats {
    /// Mean momentary loudness in LUFS.
    pub mean_momentary: f64,
    /// Mean short-term loudness in LUFS.
    pub mean_short_term: f64,
    /// Max momentary loudness in LUFS.
    pub max_momentary: f64,
    /// Min momentary loudness in LUFS.
    pub min_momentary: f64,
    /// Standard deviation of momentary loudness.
    pub std_dev_momentary: f64,
    /// Detected trend direction.
    pub trend: TrendDirection,
    /// Number of samples in this segment.
    pub sample_count: usize,
}

/// A time segment that exceeds a loudness threshold.
#[derive(Clone, Debug)]
pub struct ExceedanceSegment {
    /// Start time in seconds.
    pub start_time: f64,
    /// End time in seconds.
    pub end_time: f64,
    /// Maximum loudness during exceedance in LUFS.
    pub max_lufs: f64,
    /// Duration of the exceedance in seconds.
    pub duration: f64,
}

/// Loudness trend tracker.
#[derive(Clone, Debug)]
pub struct LoudnessTrend {
    /// All collected samples.
    samples: Vec<LoudnessSample>,
    /// Target loudness for exceedance detection.
    target_lufs: f64,
    /// Tolerance for exceedance detection.
    tolerance_lu: f64,
}

impl LoudnessTrend {
    /// Create a new trend tracker.
    pub fn new(target_lufs: f64, tolerance_lu: f64) -> Self {
        Self {
            samples: Vec::new(),
            target_lufs,
            tolerance_lu,
        }
    }

    /// Create with EBU R128 defaults (-23 LUFS, 1 LU tolerance).
    pub fn ebu_r128() -> Self {
        Self::new(-23.0, 1.0)
    }

    /// Add a loudness sample.
    pub fn add_sample(&mut self, sample: LoudnessSample) {
        self.samples.push(sample);
    }

    /// Add a sample from values.
    pub fn add(&mut self, time_seconds: f64, momentary_lufs: f64, short_term_lufs: f64) {
        self.samples.push(LoudnessSample::new(
            time_seconds,
            momentary_lufs,
            short_term_lufs,
        ));
    }

    /// Get the total number of samples.
    pub fn sample_count(&self) -> usize {
        self.samples.len()
    }

    /// Get the duration covered in seconds.
    pub fn duration(&self) -> f64 {
        if self.samples.len() < 2 {
            return 0.0;
        }
        // SAFETY: len >= 2 is checked above so both indices are in-bounds
        self.samples[self.samples.len() - 1].time_seconds - self.samples[0].time_seconds
    }

    /// Compute overall statistics.
    pub fn overall_stats(&self) -> LoudnessStats {
        compute_stats(&self.samples)
    }

    /// Compute a moving average of momentary loudness with the given window in seconds.
    pub fn moving_average(&self, window_seconds: f64) -> Vec<(f64, f64)> {
        if self.samples.is_empty() {
            return Vec::new();
        }

        let mut result = Vec::new();
        for sample in &self.samples {
            let t = sample.time_seconds;
            let window_start = t - window_seconds;
            let window_samples: Vec<f64> = self
                .samples
                .iter()
                .filter(|s| s.time_seconds >= window_start && s.time_seconds <= t)
                .filter(|s| s.momentary_lufs.is_finite())
                .map(|s| s.momentary_lufs)
                .collect();

            if window_samples.is_empty() {
                result.push((t, f64::NEG_INFINITY));
            } else {
                let avg = window_samples.iter().sum::<f64>() / window_samples.len() as f64;
                result.push((t, avg));
            }
        }
        result
    }

    /// Detect segments that exceed the target loudness plus tolerance.
    pub fn exceedance_segments(&self) -> Vec<ExceedanceSegment> {
        let threshold = self.target_lufs + self.tolerance_lu;
        let mut segments = Vec::new();
        let mut in_exceed = false;
        let mut start_time = 0.0;
        let mut max_lufs = f64::NEG_INFINITY;

        for sample in &self.samples {
            let above = sample.short_term_lufs.is_finite() && sample.short_term_lufs > threshold;
            if above {
                if !in_exceed {
                    in_exceed = true;
                    start_time = sample.time_seconds;
                    max_lufs = sample.short_term_lufs;
                } else if sample.short_term_lufs > max_lufs {
                    max_lufs = sample.short_term_lufs;
                }
            } else if in_exceed {
                let end = sample.time_seconds;
                segments.push(ExceedanceSegment {
                    start_time,
                    end_time: end,
                    max_lufs,
                    duration: end - start_time,
                });
                in_exceed = false;
                max_lufs = f64::NEG_INFINITY;
            }
        }
        // Close any open segment
        if in_exceed {
            // SAFETY: we entered `in_exceed` only via iterating self.samples, so it is non-empty
            // SAFETY: in_exceed is set to true only after iterating at least one sample,
            // so self.samples is guaranteed non-empty here
            let end = self.samples[self.samples.len() - 1].time_seconds;
            segments.push(ExceedanceSegment {
                start_time,
                end_time: end,
                max_lufs,
                duration: end - start_time,
            });
        }
        segments
    }

    /// Segment the timeline into equal-duration windows and compute stats for each.
    pub fn segmented_stats(&self, segment_seconds: f64) -> Vec<LoudnessStats> {
        if self.samples.is_empty() || segment_seconds <= 0.0 {
            return Vec::new();
        }
        let total_dur = self.duration();
        let num_segments = ((total_dur / segment_seconds).ceil() as usize).max(1);
        // SAFETY: is_empty() is checked at the top of this function
        let start = self.samples[0].time_seconds;

        let mut results = Vec::new();
        for i in 0..num_segments {
            let seg_start = start + i as f64 * segment_seconds;
            let seg_end = seg_start + segment_seconds;
            let seg_samples: Vec<LoudnessSample> = self
                .samples
                .iter()
                .filter(|s| s.time_seconds >= seg_start && s.time_seconds < seg_end)
                .copied()
                .collect();
            results.push(compute_stats(&seg_samples));
        }
        results
    }

    /// Reset the tracker, clearing all samples.
    pub fn reset(&mut self) {
        self.samples.clear();
    }

    /// Get a reference to all samples.
    pub fn samples(&self) -> &[LoudnessSample] {
        &self.samples
    }
}

/// Compute statistics for a slice of samples.
fn compute_stats(samples: &[LoudnessSample]) -> LoudnessStats {
    if samples.is_empty() {
        return LoudnessStats {
            mean_momentary: f64::NEG_INFINITY,
            mean_short_term: f64::NEG_INFINITY,
            max_momentary: f64::NEG_INFINITY,
            min_momentary: f64::INFINITY,
            std_dev_momentary: 0.0,
            trend: TrendDirection::Unknown,
            sample_count: 0,
        };
    }

    let finite_momentary: Vec<f64> = samples
        .iter()
        .map(|s| s.momentary_lufs)
        .filter(|v| v.is_finite())
        .collect();

    let finite_short_term: Vec<f64> = samples
        .iter()
        .map(|s| s.short_term_lufs)
        .filter(|v| v.is_finite())
        .collect();

    let mean_m = if finite_momentary.is_empty() {
        f64::NEG_INFINITY
    } else {
        finite_momentary.iter().sum::<f64>() / finite_momentary.len() as f64
    };

    let mean_st = if finite_short_term.is_empty() {
        f64::NEG_INFINITY
    } else {
        finite_short_term.iter().sum::<f64>() / finite_short_term.len() as f64
    };

    let max_m = finite_momentary
        .iter()
        .copied()
        .fold(f64::NEG_INFINITY, f64::max);
    let min_m = finite_momentary
        .iter()
        .copied()
        .fold(f64::INFINITY, f64::min);

    let std_dev = if finite_momentary.len() > 1 && mean_m.is_finite() {
        let var = finite_momentary
            .iter()
            .map(|v| (v - mean_m).powi(2))
            .sum::<f64>()
            / (finite_momentary.len() - 1) as f64;
        var.sqrt()
    } else {
        0.0
    };

    // Determine trend via simple linear regression on momentary values
    let trend = if finite_momentary.len() >= 3 {
        let n = finite_momentary.len() as f64;
        let mut sum_x = 0.0;
        let mut sum_y = 0.0;
        let mut sum_xy = 0.0;
        let mut sum_xx = 0.0;
        for (i, &y) in finite_momentary.iter().enumerate() {
            let x = i as f64;
            sum_x += x;
            sum_y += y;
            sum_xy += x * y;
            sum_xx += x * x;
        }
        let denom = n * sum_xx - sum_x * sum_x;
        if denom.abs() > 1e-12 {
            let slope = (n * sum_xy - sum_x * sum_y) / denom;
            if slope > 0.1 {
                TrendDirection::Rising
            } else if slope < -0.1 {
                TrendDirection::Falling
            } else {
                TrendDirection::Stable
            }
        } else {
            TrendDirection::Stable
        }
    } else {
        TrendDirection::Unknown
    };

    LoudnessStats {
        mean_momentary: mean_m,
        mean_short_term: mean_st,
        max_momentary: max_m,
        min_momentary: min_m,
        std_dev_momentary: std_dev,
        trend,
        sample_count: samples.len(),
    }
}

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

    #[test]
    fn test_sample_create() {
        let s = LoudnessSample::new(1.0, -20.0, -21.0);
        assert!((s.time_seconds - 1.0).abs() < f64::EPSILON);
        assert!((s.momentary_lufs - (-20.0)).abs() < f64::EPSILON);
    }

    #[test]
    fn test_empty_trend() {
        let t = LoudnessTrend::ebu_r128();
        assert_eq!(t.sample_count(), 0);
        assert!((t.duration()).abs() < f64::EPSILON);
    }

    #[test]
    fn test_add_samples() {
        let mut t = LoudnessTrend::ebu_r128();
        t.add(0.0, -23.0, -23.0);
        t.add(1.0, -22.0, -22.5);
        assert_eq!(t.sample_count(), 2);
        assert!((t.duration() - 1.0).abs() < f64::EPSILON);
    }

    #[test]
    fn test_overall_stats_stable() {
        let mut t = LoudnessTrend::ebu_r128();
        for i in 0..20 {
            t.add(i as f64 * 0.4, -23.0, -23.0);
        }
        let s = t.overall_stats();
        assert!((s.mean_momentary - (-23.0)).abs() < 0.1);
        assert_eq!(s.trend, TrendDirection::Stable);
    }

    #[test]
    fn test_overall_stats_rising() {
        let mut t = LoudnessTrend::ebu_r128();
        for i in 0..20 {
            let lufs = -30.0 + i as f64 * 1.0;
            t.add(i as f64, lufs, lufs);
        }
        let s = t.overall_stats();
        assert_eq!(s.trend, TrendDirection::Rising);
    }

    #[test]
    fn test_overall_stats_falling() {
        let mut t = LoudnessTrend::ebu_r128();
        for i in 0..20 {
            let lufs = -10.0 - i as f64 * 1.0;
            t.add(i as f64, lufs, lufs);
        }
        let s = t.overall_stats();
        assert_eq!(s.trend, TrendDirection::Falling);
    }

    #[test]
    fn test_moving_average() {
        let mut t = LoudnessTrend::ebu_r128();
        for i in 0..10 {
            t.add(i as f64, -20.0, -20.0);
        }
        let ma = t.moving_average(3.0);
        assert_eq!(ma.len(), 10);
        // All values should be -20.0
        for (_, avg) in &ma {
            assert!((avg - (-20.0)).abs() < 0.01);
        }
    }

    #[test]
    fn test_exceedance_segments() {
        let mut t = LoudnessTrend::new(-23.0, 1.0);
        // Normal range
        t.add(0.0, -23.0, -23.0);
        t.add(1.0, -23.0, -23.0);
        // Exceed threshold (-22.0)
        t.add(2.0, -20.0, -20.0);
        t.add(3.0, -19.0, -19.0);
        // Back to normal
        t.add(4.0, -23.0, -23.0);
        let segs = t.exceedance_segments();
        assert_eq!(segs.len(), 1);
        assert!((segs[0].start_time - 2.0).abs() < f64::EPSILON);
        assert!((segs[0].end_time - 4.0).abs() < f64::EPSILON);
        assert!((segs[0].max_lufs - (-19.0)).abs() < f64::EPSILON);
    }

    #[test]
    fn test_no_exceedance() {
        let mut t = LoudnessTrend::ebu_r128();
        for i in 0..10 {
            t.add(i as f64, -25.0, -25.0);
        }
        let segs = t.exceedance_segments();
        assert!(segs.is_empty());
    }

    #[test]
    fn test_segmented_stats() {
        let mut t = LoudnessTrend::ebu_r128();
        for i in 0..20 {
            t.add(i as f64, -23.0, -23.0);
        }
        let segs = t.segmented_stats(5.0);
        assert!(segs.len() >= 3);
        for s in &segs {
            assert!((s.mean_momentary - (-23.0)).abs() < 0.1);
        }
    }

    #[test]
    fn test_reset() {
        let mut t = LoudnessTrend::ebu_r128();
        t.add(0.0, -23.0, -23.0);
        t.reset();
        assert_eq!(t.sample_count(), 0);
    }

    #[test]
    fn test_empty_stats() {
        let s = compute_stats(&[]);
        assert!(s.mean_momentary.is_infinite());
        assert_eq!(s.sample_count, 0);
        assert_eq!(s.trend, TrendDirection::Unknown);
    }

    #[test]
    fn test_std_dev() {
        let mut t = LoudnessTrend::ebu_r128();
        t.add(0.0, -20.0, -20.0);
        t.add(1.0, -26.0, -26.0);
        t.add(2.0, -20.0, -20.0);
        t.add(3.0, -26.0, -26.0);
        let s = t.overall_stats();
        assert!(s.std_dev_momentary > 2.0);
    }

    #[test]
    fn test_exceedance_at_end() {
        let mut t = LoudnessTrend::new(-23.0, 1.0);
        t.add(0.0, -23.0, -23.0);
        t.add(1.0, -18.0, -18.0);
        t.add(2.0, -17.0, -17.0);
        let segs = t.exceedance_segments();
        assert_eq!(segs.len(), 1);
        assert!((segs[0].end_time - 2.0).abs() < f64::EPSILON);
    }
}