kshana 0.37.0

Open, reproducible PNT-resilience simulator with quantum-sensor performance models
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
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
// SPDX-License-Identifier: AGPL-3.0-only
//! The trust score: a number from 0 to 100 for every epoch of a moving platform, with the
//! reasons it is not 100.
//!
//! The mapping is deterministic and fixed before any log is scored: no learning, no fit to
//! events. Every monitor reduces its evidence to a ratio `statistic / threshold` (an alarm
//! at 1 or more, see [`super::maritime`] and [`super::monitors`]). Each ratio costs the
//! score a number of points,
//!
//! ```text
//! points(monitor) = weight(monitor) * clamp((ratio - onset_ratio) / (full_ratio - onset_ratio), 0, 1)
//! score           = round_1dp( clamp(100 - sum of points, 0, 100) )
//! ```
//!
//! so a monitor costs nothing while its statistic is below `onset_ratio` of its threshold
//! (default 0.5, above the wander of a healthy log), costs half its weight when it reaches
//! its threshold, and its whole weight at `full_ratio` times the threshold (default 1.5).
//! The score is therefore non-increasing in every alarm statistic, and the per-monitor
//! points are reported with each epoch. The listed points are those before the score is
//! clamped at 0, so they can sum to more than `100 - score` when it is.
//!
//! The score maps onto the existing [`TrustState`] by two band edges: `nominal` at or above
//! `nominal_min` (default 90), `degraded` at or above `degraded_min` (default 55),
//! `untrusted` below. Both edges and every weight are in the `[score]` table of a scenario.
//!
//! The weights follow what a monitor can show. A counterfeit position has to contradict a
//! ship's physics or its other sensors, so the monitors that find such a contradiction
//! weigh most (a single clear violation, 60 points, is enough to leave the degraded band; a
//! single clear disagreement of one independent sensor, 40 points, is not, but two are).
//! The receiver's own security reports and a failed authentication weigh as much or more.
//! The signal-environment monitors (power drop, jamming indications, C/N0 shape) weigh
//! less, because on their own they say the environment is hostile, not that the fix is
//! wrong: no one of them can leave the degraded band alone (several together can).
//!
//! The geometry monitor (0.36) is not in this table: its deduction has its own rule, set in
//! the `[geometry]` table ([`super::geometry::geometry_points`]): nothing unless the geometry
//! is poor (above its thresholds), then a ramp to a cap that geometry alone cannot take below
//! the degraded band. It joins the score through [`score_with`].

use std::collections::BTreeMap;

use serde::{Deserialize, Serialize};

use super::monitors::{Monitor, TrustState};

/// Default weight of a monitor, points of the 100 it can remove. See the module docs for the
/// reasoning; every value is stated in the result of every run.
pub fn default_weight(m: Monitor) -> f64 {
    match m {
        Monitor::Kinematic => 60.0,
        Monitor::HeadingCourse => 40.0,
        Monitor::SpeedLog => 40.0,
        Monitor::SeaLevel => 30.0,
        Monitor::TimeConsistency => 60.0,
        Monitor::Osnma => 70.0,
        Monitor::Raim => 60.0,
        Monitor::Clock => 60.0,
        Monitor::SolveFailure => 40.0,
        Monitor::PositionJump => 60.0,
        Monitor::Cn0Spread => 30.0,
        Monitor::Cn0Rise => 30.0,
        Monitor::Cn0Drop => 30.0,
        Monitor::LossOfLock => 25.0,
        Monitor::Agc => 25.0,
        Monitor::JamInd => 25.0,
        // Not weighted in [score]: its deduction is set in [geometry] (`cap_points`).
        Monitor::Geometry => 0.0,
    }
}

/// What kind of evidence a deduction is (0.36 geometry design note, 4.2).
#[derive(Clone, Copy, Debug, PartialEq, Eq, PartialOrd, Ord, Serialize, Deserialize)]
#[serde(rename_all = "kebab-case")]
pub enum DeductionClass {
    /// The sky: the geometry monitor, and a loss of lock to satellites low in the sky.
    Geometry,
    /// The signal environment: C/N0 (drop, spread, rise), AGC, jamming indicator, loss of
    /// lock. Hostile, not shown wrong.
    Environment,
    /// Attack-like inconsistency: a fix or a signal that contradicts physics, another sensor
    /// or the receiver's own checks.
    Inconsistency,
}

/// The class a monitor's deduction has unless the geometry says otherwise
/// (see [`super::geometry`]).
pub fn default_class(m: Monitor) -> DeductionClass {
    match m {
        Monitor::Geometry => DeductionClass::Geometry,
        Monitor::Cn0Drop
        | Monitor::Agc
        | Monitor::JamInd
        | Monitor::LossOfLock
        | Monitor::Cn0Spread
        | Monitor::Cn0Rise => DeductionClass::Environment,
        _ => DeductionClass::Inconsistency,
    }
}

/// Every monitor with a weight in `[score]`, for listing the effective weights. The geometry
/// monitor's deduction is set in `[geometry]` instead (see the module docs).
pub const ALL_MONITORS: [Monitor; 16] = [
    Monitor::Cn0Drop,
    Monitor::Agc,
    Monitor::JamInd,
    Monitor::LossOfLock,
    Monitor::PositionJump,
    Monitor::Raim,
    Monitor::Clock,
    Monitor::SolveFailure,
    Monitor::Kinematic,
    Monitor::HeadingCourse,
    Monitor::SpeedLog,
    Monitor::SeaLevel,
    Monitor::Cn0Spread,
    Monitor::Cn0Rise,
    Monitor::TimeConsistency,
    Monitor::Osnma,
];

/// The `[score]` table: band edges, the ramp of the mapping and weight overrides.
#[derive(Clone, Debug, PartialEq, Serialize, Deserialize)]
#[serde(deny_unknown_fields, default)]
pub struct ScoreCfg {
    /// Score at or above which the epoch is `nominal`. Default 90: a single monitor at its
    /// threshold removes at least 12.5 points (the lightest weight of a monitor that alarms is 25), so any alarm
    /// leaves the nominal band.
    pub nominal_min: f64,
    /// Score at or above which the epoch is `degraded`; below it `untrusted`. Default 55:
    /// one fix-contradiction monitor at full strength (60 points) crosses it, and so do two
    /// independent sensors at full strength (40 + 40), while any single sensor or any
    /// environment monitor alone does not.
    pub degraded_min: f64,
    /// Ratio below which a monitor costs nothing. Default 0.5: half the alarm threshold,
    /// above the wander of a healthy log.
    pub onset_ratio: f64,
    /// Ratio at which a monitor costs its whole weight. Default 1.5.
    pub full_ratio: f64,
    /// How long a monitor's last statistic stands when its input does not arrive at an
    /// epoch, s. Default 10: two cycles of the slowest sentence a ship's bus commonly
    /// carries (satellite C/N0 in GSV, often every 5 s while the fix is every second); a
    /// source silent for longer than this stops counting as evidence either way. The held
    /// statistic counts as an alarm and as a deduction alike, so the two never disagree.
    pub evidence_hold_s: f64,
    /// Weight overrides by monitor name (kebab-case); a monitor not listed keeps its
    /// default.
    pub weights: BTreeMap<Monitor, f64>,
}

impl Default for ScoreCfg {
    fn default() -> Self {
        Self {
            nominal_min: 90.0,
            degraded_min: 55.0,
            onset_ratio: 0.5,
            full_ratio: 1.5,
            evidence_hold_s: 10.0,
            weights: BTreeMap::new(),
        }
    }
}

impl ScoreCfg {
    /// True for the defaults; used to leave the table out of serialised static scenarios.
    pub fn is_default(&self) -> bool {
        *self == ScoreCfg::default()
    }

    /// The weight in force for `m`.
    pub fn weight(&self, m: Monitor) -> f64 {
        self.weights
            .get(&m)
            .copied()
            .unwrap_or_else(|| default_weight(m))
    }

    /// Every monitor's weight in force, for the record of a run.
    pub fn effective_weights(&self) -> BTreeMap<Monitor, f64> {
        ALL_MONITORS.iter().map(|m| (*m, self.weight(*m))).collect()
    }

    /// Reject a mapping that is not monotone or a band that cannot be reached.
    pub fn validate(&self) -> Result<(), String> {
        for (name, v) in [
            ("nominal_min", self.nominal_min),
            ("degraded_min", self.degraded_min),
            ("onset_ratio", self.onset_ratio),
            ("full_ratio", self.full_ratio),
        ] {
            if !v.is_finite() {
                return Err(format!("score: {name} must be finite (got {v})"));
            }
        }
        if !(0.0 < self.degraded_min
            && self.degraded_min < self.nominal_min
            && self.nominal_min <= 100.0)
        {
            return Err(format!(
                "score: need 0 < degraded_min < nominal_min <= 100 (got {} and {})",
                self.degraded_min, self.nominal_min
            ));
        }
        if !(self.evidence_hold_s.is_finite() && self.evidence_hold_s >= 0.0) {
            return Err(format!(
                "score: evidence_hold_s must be finite and >= 0 (got {})",
                self.evidence_hold_s
            ));
        }
        if !(self.onset_ratio >= 0.0 && self.onset_ratio < self.full_ratio) {
            return Err(format!(
                "score: need 0 <= onset_ratio < full_ratio (got {} and {})",
                self.onset_ratio, self.full_ratio
            ));
        }
        for (m, w) in &self.weights {
            if !(w.is_finite() && (0.0..=100.0).contains(w)) {
                return Err(format!(
                    "score: weight of {m:?} must be in [0, 100] (got {w})"
                ));
            }
        }
        if self.weights.contains_key(&Monitor::Geometry) {
            return Err(
                "score: the geometry deduction is set in [geometry] (cap_points, full_ratio, \
                 floor), not in [score.weights]"
                    .into(),
            );
        }
        Ok(())
    }

    /// The band of a score.
    pub fn band(&self, score: f64) -> TrustState {
        if score >= self.nominal_min {
            TrustState::Nominal
        } else if score >= self.degraded_min {
            TrustState::Degraded
        } else {
            TrustState::Untrusted
        }
    }
}

/// One monitor's cost to the score at one epoch.
#[derive(Clone, Copy, Debug, PartialEq, Serialize, Deserialize)]
pub struct Deduction {
    /// The monitor.
    pub monitor: Monitor,
    /// Its alarm statistic, `statistic / threshold`.
    pub ratio: f64,
    /// Points removed from the score.
    pub points: f64,
    /// What kind of evidence it is: `geometry`, `environment` or `inconsistency` (0.36; absent
    /// in records written before).
    #[serde(default, skip_serializing_if = "Option::is_none")]
    pub class: Option<DeductionClass>,
}

/// The trust score of one epoch.
#[derive(Clone, Debug, PartialEq, Serialize, Deserialize)]
pub struct TrustScore {
    /// 0 (do not trust) to 100 (nothing found), rounded to 0.1.
    pub score: f64,
    /// The band the score falls in.
    pub band: TrustState,
    /// Which monitors deducted and by how much, largest first (monitor order on ties).
    pub deductions: Vec<Deduction>,
}

/// Points a monitor of `weight` costs at `ratio`: 0 up to `onset_ratio`, rising linearly to
/// `weight` at `full_ratio`, and flat beyond. Non-decreasing in `ratio`.
pub fn points(weight: f64, ratio: f64, cfg: &ScoreCfg) -> f64 {
    if !ratio.is_finite() {
        return if ratio > 0.0 { weight } else { 0.0 };
    }
    let f = ((ratio - cfg.onset_ratio) / (cfg.full_ratio - cfg.onset_ratio)).clamp(0.0, 1.0);
    weight * f
}

/// Map monitor ratios to a trust score. Monitors that did not decide are absent from
/// `ratios` and cost nothing.
pub fn score_from_ratios(ratios: &BTreeMap<Monitor, f64>, cfg: &ScoreCfg) -> TrustScore {
    score_with(ratios, cfg, None)
}

/// [`score_from_ratios`] with one deduction whose points follow their own rule (the geometry
/// monitor's, [`super::geometry::geometry_points`]); it costs nothing when its points are 0,
/// so the score is then exactly that of `ratios` alone.
pub fn score_with(
    ratios: &BTreeMap<Monitor, f64>,
    cfg: &ScoreCfg,
    extra: Option<Deduction>,
) -> TrustScore {
    let mut deductions: Vec<Deduction> = ratios
        .iter()
        .map(|(m, r)| Deduction {
            monitor: *m,
            ratio: *r,
            points: points(cfg.weight(*m), *r, cfg),
            class: Some(default_class(*m)),
        })
        .chain(extra)
        .filter(|d| d.points > 0.0)
        .collect();
    let total: f64 = deductions.iter().map(|d| d.points).sum();
    deductions.sort_by(|a, b| {
        b.points
            .total_cmp(&a.points)
            .then(a.monitor.cmp(&b.monitor))
    });
    let score = ((100.0 - total).clamp(0.0, 100.0) * 10.0).round() / 10.0;
    TrustScore {
        score,
        band: cfg.band(score),
        deductions,
    }
}

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

    fn one(m: Monitor, r: f64) -> TrustScore {
        score_from_ratios(&BTreeMap::from([(m, r)]), &ScoreCfg::default())
    }

    /// A deterministic pseudo-random sequence in [0, 1).
    fn lcg(seed: &mut u64) -> f64 {
        *seed = seed
            .wrapping_mul(6_364_136_223_846_793_005)
            .wrapping_add(1_442_695_040_888_963_407);
        (*seed >> 11) as f64 / (1u64 << 53) as f64
    }

    #[test]
    fn nothing_found_is_a_hundred_and_nominal() {
        let s = score_from_ratios(&BTreeMap::new(), &ScoreCfg::default());
        assert_eq!((s.score, s.band), (100.0, TrustState::Nominal));
        assert!(s.deductions.is_empty());
    }

    #[test]
    fn the_ramp_costs_nothing_to_onset_half_at_threshold_all_at_full() {
        let c = ScoreCfg::default();
        assert_eq!(points(40.0, 0.5, &c), 0.0);
        assert_eq!(points(40.0, 1.0, &c), 20.0);
        assert_eq!(points(40.0, 1.5, &c), 40.0);
        assert_eq!(points(40.0, 9.0, &c), 40.0);
        assert_eq!(points(40.0, f64::INFINITY, &c), 40.0);
        assert_eq!(points(40.0, f64::NAN, &c), 0.0);
    }

    #[test]
    fn score_is_monotone_non_increasing_in_every_alarm_statistic() {
        let cfg = ScoreCfg::default();
        let mut seed = 7u64;
        for m in ALL_MONITORS {
            // Random background of the other monitors, then sweep this one's ratio.
            for _ in 0..40 {
                let mut bg: BTreeMap<Monitor, f64> = ALL_MONITORS
                    .iter()
                    .filter(|o| **o != m)
                    .map(|o| (*o, 3.0 * lcg(&mut seed)))
                    .collect();
                let mut prev = f64::INFINITY;
                for step in 0..=60 {
                    bg.insert(m, step as f64 * 0.05);
                    let s = score_from_ratios(&bg, &cfg).score;
                    assert!(s <= prev + 1e-12, "{m:?} step {step}: {s} > {prev}");
                    assert!((0.0..=100.0).contains(&s));
                    prev = s;
                }
            }
        }
    }

    #[test]
    fn score_never_rises_when_another_monitor_is_added() {
        let cfg = ScoreCfg::default();
        let mut seed = 11u64;
        for _ in 0..200 {
            let mut set: BTreeMap<Monitor, f64> = BTreeMap::new();
            let mut prev = 100.0;
            for m in ALL_MONITORS {
                set.insert(m, 2.0 * lcg(&mut seed));
                let s = score_from_ratios(&set, &cfg).score;
                assert!(s <= prev, "{m:?}");
                prev = s;
            }
        }
    }

    #[test]
    fn healthy_statistics_stay_in_the_top_band() {
        // Every monitor at up to the onset ratio of its threshold costs nothing.
        let cfg = ScoreCfg::default();
        let mut seed = 3u64;
        for _ in 0..200 {
            let r: BTreeMap<Monitor, f64> = ALL_MONITORS
                .iter()
                .map(|m| (*m, cfg.onset_ratio * lcg(&mut seed)))
                .collect();
            let s = score_from_ratios(&r, &cfg);
            assert_eq!((s.score, s.band), (100.0, TrustState::Nominal));
        }
    }

    #[test]
    fn the_geometry_deduction_is_not_a_score_weight() {
        // Its rule is in [geometry]; a 0.35 [score] table (no geometry weight) is unchanged.
        let mut cfg = ScoreCfg::default();
        assert!(!cfg.effective_weights().contains_key(&Monitor::Geometry));
        cfg.weights.insert(Monitor::Geometry, 10.0);
        assert!(cfg.validate().unwrap_err().contains("[geometry]"));
        let cfg: ScoreCfg = toml::from_str("nominal_min = 95.0\ndegraded_min = 90.0\n").unwrap();
        assert!(cfg.validate().is_ok());
    }

    #[test]
    fn an_extra_deduction_of_zero_points_leaves_the_score_as_it_was() {
        let cfg = ScoreCfg::default();
        let r = BTreeMap::from([(Monitor::Kinematic, 0.9), (Monitor::Cn0Drop, 0.7)]);
        let zero = Deduction {
            monitor: Monitor::Geometry,
            ratio: 1.0,
            points: 0.0,
            class: Some(DeductionClass::Geometry),
        };
        assert_eq!(
            score_with(&r, &cfg, Some(zero)),
            score_from_ratios(&r, &cfg)
        );
        let some = Deduction {
            points: 6.0,
            ..zero_points_geometry()
        };
        let s = score_with(&r, &cfg, Some(some));
        assert_eq!(
            s.score,
            ((score_from_ratios(&r, &cfg).score - 6.0) * 10.0).round() / 10.0
        );
        assert!(s.deductions.iter().any(|d| d.monitor == Monitor::Geometry));
    }

    fn zero_points_geometry() -> Deduction {
        Deduction {
            monitor: Monitor::Geometry,
            ratio: 1.2,
            points: 0.0,
            class: Some(DeductionClass::Geometry),
        }
    }

    #[test]
    fn any_single_monitor_at_its_threshold_leaves_the_nominal_band() {
        // Every monitor with a weight raises an alarm at its threshold.
        for m in ALL_MONITORS {
            let s = one(m, 1.0);
            assert_ne!(
                s.band,
                TrustState::Nominal,
                "{m:?} at its threshold: {}",
                s.score
            );
            assert_eq!(s.deductions.len(), 1);
            assert_eq!(s.deductions[0].monitor, m);
        }
    }

    #[test]
    fn bands_follow_the_stated_edges() {
        let c = ScoreCfg::default();
        assert_eq!(c.band(100.0), TrustState::Nominal);
        assert_eq!(c.band(90.0), TrustState::Nominal);
        assert_eq!(c.band(89.9), TrustState::Degraded);
        assert_eq!(c.band(55.0), TrustState::Degraded);
        assert_eq!(c.band(54.9), TrustState::Untrusted);
        assert_eq!(c.band(0.0), TrustState::Untrusted);
    }

    #[test]
    fn one_clear_physics_violation_or_two_clear_sensor_disagreements_are_untrusted() {
        assert_eq!(one(Monitor::Kinematic, 1.5).band, TrustState::Untrusted);
        let both = score_from_ratios(
            &BTreeMap::from([(Monitor::HeadingCourse, 1.5), (Monitor::SpeedLog, 1.5)]),
            &ScoreCfg::default(),
        );
        assert_eq!((both.score, both.band), (20.0, TrustState::Untrusted));
        // One sensor alone, or the signal environment alone, is degraded at most.
        assert_eq!(one(Monitor::HeadingCourse, 9.0).band, TrustState::Degraded);
        assert_eq!(one(Monitor::Cn0Drop, 9.0).band, TrustState::Degraded);
    }

    #[test]
    fn deductions_are_listed_largest_first_with_the_ratio_that_caused_them() {
        let s = score_from_ratios(
            &BTreeMap::from([
                (Monitor::SeaLevel, 1.0),
                (Monitor::Kinematic, 1.5),
                (Monitor::Cn0Rise, 0.4),
            ]),
            &ScoreCfg::default(),
        );
        let got: Vec<(Monitor, f64, f64)> = s
            .deductions
            .iter()
            .map(|d| (d.monitor, d.ratio, d.points))
            .collect();
        assert_eq!(
            got,
            [
                (Monitor::Kinematic, 1.5, 60.0),
                (Monitor::SeaLevel, 1.0, 15.0)
            ]
        );
        assert_eq!(s.score, 25.0);
    }

    #[test]
    fn overrides_and_validation() {
        let mut c = ScoreCfg::default();
        c.weights.insert(Monitor::SeaLevel, 10.0);
        assert_eq!(c.weight(Monitor::SeaLevel), 10.0);
        assert_eq!(c.weight(Monitor::Kinematic), 60.0);
        assert_eq!(c.effective_weights().len(), ALL_MONITORS.len());
        assert!(c.validate().is_ok());
        for bad in [
            ScoreCfg {
                nominal_min: 50.0,
                degraded_min: 60.0,
                ..Default::default()
            },
            ScoreCfg {
                onset_ratio: 1.5,
                ..Default::default()
            },
            ScoreCfg {
                degraded_min: 0.0,
                ..Default::default()
            },
            ScoreCfg {
                weights: BTreeMap::from([(Monitor::Agc, 120.0)]),
                ..Default::default()
            },
        ] {
            assert!(bad.validate().is_err(), "{bad:?}");
        }
    }
}