kshana 0.15.1

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
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
// SPDX-License-Identifier: Apache-2.0
//! RF interference (jamming) model: J/S → effective C/N₀ → loss of lock.
//!
//! A jammer raises the noise floor a GNSS receiver sees, degrading the
//! carrier-to-noise-density ratio (C/N₀) of every tracked satellite until the
//! tracking loops drop lock. This module models that chain from first
//! principles, so a scenario can ask "does this jammer, at this power and range,
//! deny GNSS to this receiver — and for how many satellites?".
//!
//! The chain (Kaplan & Hegarty, *Understanding GPS/GNSS*, 3rd ed., §9.4):
//!
//! 1. **Jammer-to-signal ratio** at the receiver, `J/S` (dB): the received
//!    jammer power (transmit power + antenna gains − free-space path loss) minus
//!    the received GNSS signal power.
//! 2. **Effective C/N₀** under that interference, via the standard anti-jam
//!    equation
//!    ```text
//!    (C/N₀)_eff = [ 1/(C/N₀) + (J/S) / (Q · Rc) ]⁻¹
//!    ```
//!    where `Rc` is the spreading-code chip rate (the processing gain) and `Q`
//!    is the spectral-separation (spread-spectrum adjustment) coefficient that
//!    depends on the jammer's spectrum.
//! 3. **Lock status**: a loop loses lock when its effective C/N₀ falls below a
//!    tracking threshold (≈ 25 dB-Hz for a typical C/A tracking loop; configurable).
//!
//! Honest scope: this is a **link-budget** interference model. It captures the
//! geometry (free-space path loss, per-satellite receive-antenna gain vs.
//! elevation) and the despreading processing gain, which is what determines
//! denial range. It does **not** model multipath, terrain shadowing of the
//! jammer, near/far AGC effects, adaptive nulling antennas, or the receiver's
//! acquisition (vs. tracking) threshold hysteresis — those are noted in
//! `docs/CAPABILITY.md` as out of scope.

use crate::frames::{geodetic_to_ecef, is_visible, look_angles, teme_to_ecef, Geodetic, Vec3};
use crate::scenario::{GnssState, TimeCfg};
use crate::walker::{walker_epoch_jd, WalkerSgp4};
use serde::{Deserialize, Serialize};
use sha2::{Digest, Sha256};
use std::f64::consts::PI;

/// Speed of light (m/s).
pub const C_M_PER_S: f64 = 299_792_458.0;
/// GPS L1 carrier frequency (Hz).
pub const L1_HZ: f64 = 1_575_420_000.0;
/// GPS C/A spreading-code chip rate (chips/s) — the despreading processing gain.
pub const CA_CHIP_RATE_HZ: f64 = 1_023_000.0;
/// Boltzmann's constant (J/K).
pub const BOLTZMANN_J_PER_K: f64 = 1.380_649e-23;
/// Reference receiver system noise temperature (K).
pub const DEFAULT_TEMP_K: f64 = 290.0;
/// Minimum received GPS L1 C/A signal power at the antenna (dBW), IS-GPS-200.
pub const DEFAULT_SIGNAL_POWER_DBW: f64 = -158.5;
/// Default C/A code-tracking-loss threshold (dB-Hz).
pub const DEFAULT_TRACKING_THRESHOLD_DBHZ: f64 = 25.0;
/// Default extra margin (dB) above the loss threshold below which a satellite is
/// reported `Degraded` rather than fully `Locked`.
pub const DEFAULT_DEGRADED_MARGIN_DB: f64 = 6.0;

fn default_mask_deg() -> f64 {
    5.0
}
fn default_threshold() -> f64 {
    DEFAULT_TRACKING_THRESHOLD_DBHZ
}
fn default_degraded_margin() -> f64 {
    DEFAULT_DEGRADED_MARGIN_DB
}
fn default_signal_power() -> f64 {
    DEFAULT_SIGNAL_POWER_DBW
}
fn default_temp_k() -> f64 {
    DEFAULT_TEMP_K
}
fn default_freq() -> f64 {
    L1_HZ
}
fn default_chip_rate() -> f64 {
    CA_CHIP_RATE_HZ
}
fn default_jammer_type() -> String {
    "broadband".to_string()
}

// --- core physics (deterministic, unit-testable in isolation) ---

/// Free-space path loss (dB) over distance `d_m` at frequency `f_hz`:
/// `20·log₁₀(d) + 20·log₁₀(f) + 20·log₁₀(4π/c)`.
pub fn free_space_path_loss_db(d_m: f64, f_hz: f64) -> f64 {
    let d = d_m.max(1e-3);
    20.0 * d.log10() + 20.0 * f_hz.log10() + 20.0 * (4.0 * PI / C_M_PER_S).log10()
}

/// Jammer-to-signal ratio (dB) at the receiver antenna output: the received
/// jammer power (transmit power + jammer antenna gain + receiver-antenna gain
/// **toward the jammer** − free-space path loss) minus the received GNSS signal
/// power (the isotropic received power + receiver-antenna gain **toward the
/// satellite**). Each link uses its own direction through the receive-antenna
/// pattern, so a low-elevation satellite (weaker) and a horizon jammer (the
/// receiver's reduced ground gain) are both accounted for.
#[allow(clippy::too_many_arguments)]
pub fn j_over_s_db(
    jammer_power_dbw: f64,
    jammer_gain_dbi: f64,
    rx_gain_toward_jammer_db: f64,
    distance_m: f64,
    f_hz: f64,
    signal_power_dbw: f64,
    rx_gain_toward_sat_db: f64,
) -> f64 {
    let jammer_rx = jammer_power_dbw + jammer_gain_dbi + rx_gain_toward_jammer_db
        - free_space_path_loss_db(distance_m, f_hz);
    let signal_rx = signal_power_dbw + rx_gain_toward_sat_db;
    jammer_rx - signal_rx
}

/// Thermal noise power spectral density (dBW/Hz) at temperature `temp_k`:
/// `10·log₁₀(k·T)`.
pub fn noise_density_dbw_per_hz(temp_k: f64) -> f64 {
    10.0 * (BOLTZMANN_J_PER_K * temp_k).log10()
}

/// Nominal (un-jammed) carrier-to-noise-density ratio (dB-Hz) for a received
/// signal of `signal_power_dbw` with `antenna_gain_db` of receive-antenna gain.
pub fn nominal_cn0_dbhz(signal_power_dbw: f64, antenna_gain_db: f64, temp_k: f64) -> f64 {
    signal_power_dbw + antenna_gain_db - noise_density_dbw_per_hz(temp_k)
}

/// Effective C/N₀ (dB-Hz) under interference of ratio `js_db`, despread at chip
/// rate `chip_rate_hz` with spectral-separation coefficient `q` — the standard
/// anti-jam equation `(C/N₀)_eff = [1/(C/N₀) + (J/S)/(Q·Rc)]⁻¹`.
pub fn effective_cn0_dbhz(cn0_nominal_dbhz: f64, js_db: f64, q: f64, chip_rate_hz: f64) -> f64 {
    let cn0_lin = 10f64.powf(cn0_nominal_dbhz / 10.0);
    let js_lin = 10f64.powf(js_db / 10.0);
    let denom = 1.0 / cn0_lin + js_lin / (q.max(1e-9) * chip_rate_hz);
    -10.0 * denom.log10()
}

/// Representative spectral-separation coefficient `Q` for a jammer type (Kaplan &
/// Hegarty, §9.4, Table 9.x — wideband Gaussian is the unit reference; a
/// continuous-wave / narrowband tone despreads less efficiently). The exact value
/// depends on the jammer's power spectral density relative to the C/A spectrum;
/// these are representative and may be overridden per scenario.
pub fn q_factor(jammer_type: &str, q_override: Option<f64>) -> f64 {
    if let Some(q) = q_override {
        return q.max(1e-9);
    }
    match jammer_type {
        // Wideband noise matched to the GNSS band: the canonical reference.
        "broadband" => 1.0,
        // A swept tone dwells across the band, wideband-like over an epoch.
        "swept" => 1.0,
        // A CW / narrowband tone is despread less efficiently than wideband noise.
        "narrowband" | "cw" => 1.5,
        _ => 1.0,
    }
}

/// A mild receive-antenna gain pattern (dB, relative to its zenith gain): flat
/// overhead, rolling off to −4 dB at the horizon. Representative of a GNSS patch
/// antenna; keeps low-elevation satellites slightly weaker (lost first).
pub fn rx_antenna_gain_db(el_rad: f64) -> f64 {
    let el = el_rad.clamp(0.0, PI / 2.0);
    -4.0 * (1.0 - el / (PI / 2.0))
}

/// Tracking-loop lock status for an effective C/N₀.
#[derive(Clone, Copy, Debug, PartialEq, Eq, Serialize)]
pub enum LockStatus {
    Locked,
    Degraded,
    Lost,
}

impl LockStatus {
    fn label(self) -> &'static str {
        match self {
            LockStatus::Locked => "LOCKED",
            LockStatus::Degraded => "DEGRADED",
            LockStatus::Lost => "LOST",
        }
    }
}

/// Classify an effective C/N₀ against the loss threshold and degraded margin.
pub fn lock_status(cn0_eff_dbhz: f64, threshold_dbhz: f64, degraded_margin_db: f64) -> LockStatus {
    if cn0_eff_dbhz < threshold_dbhz {
        LockStatus::Lost
    } else if cn0_eff_dbhz < threshold_dbhz + degraded_margin_db {
        LockStatus::Degraded
    } else {
        LockStatus::Locked
    }
}

// --- scenario ---

/// A ground (or airborne) RF jammer.
#[derive(Clone, Debug, Deserialize, Serialize)]
pub struct JammerCfg {
    /// Jammer position in ECEF (m).
    pub position_ecef_m: Vec3,
    /// Transmit power (dBW; e.g. a 10 W jammer is 10 dBW).
    pub power_dbw: f64,
    /// Jammer antenna gain toward the receiver (dBi).
    #[serde(default)]
    pub gain_dbi: f64,
    /// `broadband` (default), `narrowband` / `cw`, or `swept`.
    #[serde(default = "default_jammer_type")]
    pub jammer_type: String,
    /// Jammer bandwidth (MHz) — informational; recorded in the result.
    #[serde(default)]
    pub bandwidth_mhz: Option<f64>,
    /// Override the spectral-separation coefficient `Q` (else type-dependent).
    #[serde(default)]
    pub q_override: Option<f64>,
}

/// The receiver's geodetic position.
#[derive(Clone, Debug, Deserialize, Serialize)]
pub struct ReceiverCfg {
    pub lat_deg: f64,
    pub lon_deg: f64,
    #[serde(default)]
    pub alt_m: f64,
}

/// A jamming scenario: a Walker constellation seen by a ground receiver, with an
/// optional jammer denying part or all of the visible set.
#[derive(Clone, Debug, Deserialize, Serialize)]
pub struct JammingScenario {
    pub seed: u64,
    pub time: TimeCfg,
    pub receiver: ReceiverCfg,
    pub constellation: WalkerSgp4,
    /// The jammer. Absent ⇒ a clean-sky baseline (every visible satellite locks).
    #[serde(default)]
    pub jammer: Option<JammerCfg>,
    #[serde(default = "default_mask_deg")]
    pub mask_deg: f64,
    #[serde(default = "default_threshold")]
    pub tracking_threshold_dbhz: f64,
    #[serde(default = "default_degraded_margin")]
    pub degraded_margin_db: f64,
    #[serde(default = "default_signal_power")]
    pub signal_power_dbw: f64,
    #[serde(default = "default_temp_k")]
    pub temp_k: f64,
    #[serde(default = "default_freq")]
    pub freq_hz: f64,
    #[serde(default = "default_chip_rate")]
    pub chip_rate_hz: f64,
}

/// One satellite's link state at one epoch.
#[derive(Clone, Debug, Serialize)]
pub struct SatLink {
    pub prn: usize,
    pub el_deg: f64,
    pub js_db: f64,
    pub cn0_nominal_dbhz: f64,
    pub cn0_effective_dbhz: f64,
    pub status: String,
}

/// One epoch: the visible set, how many stayed **tracking** (effective C/N₀ at or
/// above the loss threshold — i.e. `Locked` or `Degraded`, not `Lost`), and the
/// per-satellite links.
#[derive(Clone, Debug, Serialize)]
pub struct JammingEpoch {
    pub t: f64,
    pub visible: usize,
    /// Satellites whose effective C/N₀ stays at or above the tracking threshold.
    pub tracking: usize,
    pub gnss_state: GnssState,
    pub sats: Vec<SatLink>,
}

/// Figures of merit for a jamming run.
#[derive(Clone, Debug, Serialize)]
pub struct JammingFoM {
    /// Fraction of epochs with ≥ 4 satellites still **tracking** (above the loss
    /// threshold) under the jammer.
    pub availability_under_jamming: f64,
    /// Fraction of epochs with ≥ 4 satellites geometrically **visible** (the
    /// clean-sky ceiling for this geometry).
    pub availability_nominal: f64,
    /// Fewest satellites tracking at any epoch.
    pub min_tracking: usize,
    /// Mean J/S over all visible-satellite samples (dB); `NaN` with no jammer.
    pub mean_js_db: f64,
}

/// A jamming run result.
#[derive(Clone, Debug, Serialize)]
pub struct JammingResult {
    pub schema_version: String,
    pub engine_version: String,
    pub scenario_hash: String,
    pub seed: u64,
    pub jammer_present: bool,
    pub fom: JammingFoM,
    pub epochs: Vec<JammingEpoch>,
}

fn hash_scenario(scn: &JammingScenario) -> String {
    let c = serde_json::to_string(scn).expect("scenario serializes");
    let mut h = Sha256::new();
    h.update(c.as_bytes());
    hex::encode(h.finalize())
}

/// Run a jamming scenario: propagate the constellation, and at each epoch score
/// every visible satellite's effective C/N₀ under the jammer (if any) and its
/// resulting lock status. Deterministic.
pub fn run_jamming(scn: &JammingScenario) -> JammingResult {
    let station = Geodetic {
        lat_rad: scn.receiver.lat_deg.to_radians(),
        lon_rad: scn.receiver.lon_deg.to_radians(),
        alt_m: scn.receiver.alt_m,
    };
    let station_ecef = geodetic_to_ecef(station);
    let sats = scn.constellation.satellites();

    // The jammer is static, so its geometry (range and the receiver-antenna gain
    // toward it) is computed once. A near-/below-horizon ground jammer sees the
    // antenna's reduced ground gain.
    let jammer_geom = scn.jammer.as_ref().map(|j| {
        let d = dist(station_ecef, j.position_ecef_m);
        let el = look_angles(station, j.position_ecef_m).el_rad;
        (j, d, rx_antenna_gain_db(el))
    });

    let dt = scn.time.step_s;
    let n = (scn.time.duration_s / dt).round() as usize;

    let mut epochs = Vec::with_capacity(n + 1);
    let (mut avail_jam, mut avail_nom, mut min_tracking) = (0usize, 0usize, usize::MAX);
    let (mut js_sum, mut js_count) = (0.0f64, 0usize);

    for i in 0..=n {
        let t = i as f64 * dt;
        let jd = walker_epoch_jd() + t / 86_400.0;
        let mut links = Vec::new();
        for (prn, p) in sats.iter().enumerate() {
            let sat_ecef = teme_to_ecef(p.position_eci(t), jd);
            if !is_visible(station, sat_ecef, scn.mask_deg) {
                continue;
            }
            let look = look_angles(station, sat_ecef);
            let gain = rx_antenna_gain_db(look.el_rad);
            let cn0_nom = nominal_cn0_dbhz(scn.signal_power_dbw, gain, scn.temp_k);
            let (js_db, cn0_eff) = match &jammer_geom {
                Some((j, d, rx_gain_jammer)) => {
                    let js = j_over_s_db(
                        j.power_dbw,
                        j.gain_dbi,
                        *rx_gain_jammer,
                        *d,
                        scn.freq_hz,
                        scn.signal_power_dbw,
                        gain,
                    );
                    let q = q_factor(&j.jammer_type, j.q_override);
                    js_sum += js;
                    js_count += 1;
                    (js, effective_cn0_dbhz(cn0_nom, js, q, scn.chip_rate_hz))
                }
                None => (f64::NEG_INFINITY, cn0_nom),
            };
            let status = lock_status(cn0_eff, scn.tracking_threshold_dbhz, scn.degraded_margin_db);
            links.push(SatLink {
                prn,
                el_deg: look.el_rad.to_degrees(),
                js_db,
                cn0_nominal_dbhz: cn0_nom,
                cn0_effective_dbhz: cn0_eff,
                status: status.label().into(),
            });
        }
        let visible = links.len();
        // A satellite is still tracking while its effective C/N₀ holds at or above
        // the loss threshold — `Locked` or `Degraded`, but not `Lost`.
        let tracking = links.iter().filter(|l| l.status != "LOST").count();
        if visible >= 4 {
            avail_nom += 1;
        }
        if tracking >= 4 {
            avail_jam += 1;
        }
        min_tracking = min_tracking.min(tracking);
        epochs.push(JammingEpoch {
            t,
            visible,
            tracking,
            gnss_state: gnss_state_of(tracking),
            sats: links,
        });
    }

    let denom = (n + 1) as f64;
    JammingResult {
        schema_version: "0.7".into(),
        engine_version: env!("CARGO_PKG_VERSION").into(),
        scenario_hash: hash_scenario(scn),
        seed: scn.seed,
        jammer_present: scn.jammer.is_some(),
        fom: JammingFoM {
            availability_under_jamming: avail_jam as f64 / denom,
            availability_nominal: avail_nom as f64 / denom,
            min_tracking: if min_tracking == usize::MAX {
                0
            } else {
                min_tracking
            },
            mean_js_db: if js_count > 0 {
                js_sum / js_count as f64
            } else {
                f64::NAN
            },
        },
        epochs,
    }
}

fn dist(a: Vec3, b: Vec3) -> f64 {
    ((a[0] - b[0]).powi(2) + (a[1] - b[1]).powi(2) + (a[2] - b[2]).powi(2)).sqrt()
}

/// Map a tracking-satellite count to a GNSS solution state (≥4 ⇒ a full fix).
fn gnss_state_of(tracking: usize) -> GnssState {
    match tracking {
        0 => GnssState::Denied,
        1..=3 => GnssState::Degraded,
        _ => GnssState::Nominal,
    }
}

/// Render the visible vs. locked satellite count over time as an SVG, with the
/// 4-satellite availability line.
pub fn to_svg(result: &JammingResult) -> String {
    let (w, h) = (820.0_f64, 420.0_f64);
    let (ml, mr, mt, mb) = (60.0_f64, 20.0_f64, 30.0_f64, 50.0_f64);
    let pw = w - ml - mr;
    let ph = h - mt - mb;
    let ep = &result.epochs;
    let t_max = ep.iter().map(|e| e.t).fold(1.0_f64, f64::max);
    let y_max = ep.iter().map(|e| e.visible).max().unwrap_or(8).max(4) as f64 + 1.0;
    let xof = |t: f64| ml + (t / t_max) * pw;
    let yof = |v: f64| mt + ph - (v / y_max) * ph;
    let poly = |sel: &dyn Fn(&JammingEpoch) -> f64| {
        ep.iter()
            .map(|e| format!("{:.1},{:.1}", xof(e.t), yof(sel(e))))
            .collect::<Vec<_>>()
            .join(" ")
    };
    let axis_y = mt + ph;
    let mut svg = String::new();
    svg.push_str(&format!("<svg xmlns=\"http://www.w3.org/2000/svg\" width=\"{w:.0}\" height=\"{h:.0}\" font-family=\"sans-serif\" font-size=\"12\" fill=\"#bcb3a3\"><rect width=\"{w:.0}\" height=\"{h:.0}\" fill=\"#0c0b08\"/>"));
    svg.push_str(&format!("<text x=\"{ml:.0}\" y=\"18\" font-size=\"15\" font-weight=\"bold\">Satellites visible vs. tracking under jamming</text>"));
    svg.push_str(&crate::chart::y_axis(ml, mt, pw, ph, y_max, "satellites"));
    svg.push_str(&format!("<line x1=\"{ml:.0}\" y1=\"{mt:.0}\" x2=\"{ml:.0}\" y2=\"{axis_y:.0}\" stroke=\"#342c21\"/><line x1=\"{ml:.0}\" y1=\"{axis_y:.0}\" x2=\"{:.0}\" y2=\"{axis_y:.0}\" stroke=\"#342c21\"/>", ml + pw));
    let four_y = yof(4.0);
    svg.push_str(&format!("<line x1=\"{ml:.0}\" y1=\"{four_y:.1}\" x2=\"{:.0}\" y2=\"{four_y:.1}\" stroke=\"#e5645a\" stroke-dasharray=\"6 4\"/><text x=\"{:.0}\" y=\"{:.1}\" fill=\"#e5645a\">4-SV fix</text>", ml + pw, ml + 4.0, four_y - 4.0));
    svg.push_str(&format!(
        "<polyline fill=\"none\" stroke=\"#8c8273\" stroke-width=\"2\" points=\"{}\"/>",
        poly(&|e| e.visible as f64)
    ));
    svg.push_str(&format!(
        "<polyline fill=\"none\" stroke=\"#46b67e\" stroke-width=\"2\" points=\"{}\"/>",
        poly(&|e| e.tracking as f64)
    ));
    svg.push_str(&format!("<text x=\"{:.0}\" y=\"44\" fill=\"#8c8273\">visible</text><text x=\"{:.0}\" y=\"60\" fill=\"#46b67e\">tracking</text>", ml + 10.0, ml + 10.0));
    svg.push_str("</svg>");
    svg
}

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

    #[test]
    fn free_space_path_loss_matches_the_textbook_formula() {
        // L1 at 1 km: 20log10(1000) + 20log10(1.57542e9) + 20log10(4π/c).
        let fspl = free_space_path_loss_db(1000.0, L1_HZ);
        assert!((fspl - 96.395).abs() < 0.01, "FSPL = {fspl}");
        // +40 dB per decade of range: 100 km is 40 dB more than 1 km.
        let fspl_100km = free_space_path_loss_db(100_000.0, L1_HZ);
        assert!((fspl_100km - fspl - 40.0).abs() < 1e-6);
    }

    #[test]
    fn j_over_s_and_effective_cn0_match_hand_computation() {
        // 10 W (10 dBW) jammer, 0 dBi gains, 1 km, L1, signal −158.5 dBW.
        let js = j_over_s_db(10.0, 0.0, 0.0, 1000.0, L1_HZ, DEFAULT_SIGNAL_POWER_DBW, 0.0);
        assert!((js - 72.105).abs() < 0.01, "J/S = {js}");
        // Nominal C/N0 at zenith (0 dB antenna gain), 290 K: −158.5 − (−203.975).
        let cn0 = nominal_cn0_dbhz(DEFAULT_SIGNAL_POWER_DBW, 0.0, DEFAULT_TEMP_K);
        assert!((cn0 - 45.475).abs() < 0.01, "C/N0 = {cn0}");
        // Effective C/N0 under that J/S with broadband Q=1, C/A chip rate.
        let eff = effective_cn0_dbhz(cn0, js, 1.0, CA_CHIP_RATE_HZ);
        assert!((eff - (-12.0)).abs() < 0.1, "eff C/N0 = {eff}");
        assert_eq!(
            lock_status(
                eff,
                DEFAULT_TRACKING_THRESHOLD_DBHZ,
                DEFAULT_DEGRADED_MARGIN_DB
            ),
            LockStatus::Lost
        );
    }

    #[test]
    fn distant_jammer_leaves_a_healthy_link() {
        // The same 10 W jammer at 100 km: J/S ≈ 32.1 dB, effective C/N0 ≈ 27.9
        // dB-Hz — above the 25 dB-Hz tracking threshold, so still locked.
        let js = j_over_s_db(
            10.0,
            0.0,
            0.0,
            100_000.0,
            L1_HZ,
            DEFAULT_SIGNAL_POWER_DBW,
            0.0,
        );
        assert!((js - 32.105).abs() < 0.01, "J/S = {js}");
        let cn0 = nominal_cn0_dbhz(DEFAULT_SIGNAL_POWER_DBW, 0.0, DEFAULT_TEMP_K);
        let eff = effective_cn0_dbhz(cn0, js, 1.0, CA_CHIP_RATE_HZ);
        assert!((eff - 27.9).abs() < 0.1, "eff C/N0 = {eff}");
        // 27.9 dB-Hz is above the 25 dB-Hz loss threshold but within the 6 dB
        // degraded band [25, 31): still tracking, not lost.
        assert_eq!(
            lock_status(
                eff,
                DEFAULT_TRACKING_THRESHOLD_DBHZ,
                DEFAULT_DEGRADED_MARGIN_DB
            ),
            LockStatus::Degraded
        );
        assert!(eff >= DEFAULT_TRACKING_THRESHOLD_DBHZ, "must not lose lock");
    }

    fn gps_like() -> WalkerSgp4 {
        // A GPS-like Walker shell (24 satellites) so several are always visible.
        WalkerSgp4 {
            altitude_km: 20_200.0,
            inclination_deg: 55.0,
            planes: 6,
            sats_per_plane: 4,
            phasing_f: 1.0,
        }
    }

    fn scenario(jammer: Option<JammerCfg>) -> JammingScenario {
        JammingScenario {
            seed: 1,
            time: TimeCfg {
                step_s: 5.0,
                duration_s: 30.0,
            },
            receiver: ReceiverCfg {
                lat_deg: 52.0,
                lon_deg: 4.0,
                alt_m: 0.0,
            },
            constellation: gps_like(),
            jammer,
            mask_deg: 5.0,
            tracking_threshold_dbhz: DEFAULT_TRACKING_THRESHOLD_DBHZ,
            degraded_margin_db: DEFAULT_DEGRADED_MARGIN_DB,
            signal_power_dbw: DEFAULT_SIGNAL_POWER_DBW,
            temp_k: DEFAULT_TEMP_K,
            freq_hz: L1_HZ,
            chip_rate_hz: CA_CHIP_RATE_HZ,
        }
    }

    /// A jammer at `distance_m` straight out along ECEF-X from the receiver (the
    /// J/S depends only on range, so the direction is immaterial).
    fn jammer_at(scn: &JammingScenario, distance_m: f64, power_dbw: f64) -> JammerCfg {
        let station = Geodetic {
            lat_rad: scn.receiver.lat_deg.to_radians(),
            lon_rad: scn.receiver.lon_deg.to_radians(),
            alt_m: scn.receiver.alt_m,
        };
        let s = geodetic_to_ecef(station);
        JammerCfg {
            position_ecef_m: [s[0] + distance_m, s[1], s[2]],
            power_dbw,
            gain_dbi: 0.0,
            jammer_type: "broadband".into(),
            bandwidth_mhz: Some(20.0),
            q_override: None,
        }
    }

    #[test]
    fn near_jammer_denies_at_least_two_satellites_within_30s() {
        let base = scenario(None);
        let j = jammer_at(&base, 1000.0, 10.0); // 10 W at 1 km
        let scn = scenario(Some(j));
        let r = run_jamming(&scn);
        // The clean-sky baseline genuinely sees ≥ 4 satellites the whole window.
        let nom = run_jamming(&base);
        assert!(
            nom.epochs.iter().all(|e| e.visible >= 4),
            "baseline geometry should keep ≥4 visible"
        );
        // Under the near jammer, at least two satellites lose lock within 30 s.
        let max_lost = scn_lost_within(&r, 30.0);
        assert!(
            max_lost >= 2,
            "expected ≥2 satellites to lose lock; max lost was {max_lost}"
        );
        // It is in fact a full denial: never 4 locked, availability 0.
        assert_eq!(r.fom.availability_under_jamming, 0.0);
        assert!(r.fom.availability_nominal > 0.0);
    }

    #[test]
    fn distant_jammer_causes_no_lock_loss() {
        let base = scenario(None);
        let j = jammer_at(&base, 100_000.0, 10.0); // 10 W at 100 km
        let scn = scenario(Some(j));
        let r = run_jamming(&scn);
        // No satellite is LOST (every visible one stays at or above the tracking
        // threshold), so tracking == visible at every epoch — even though they are
        // degraded relative to clean sky.
        for e in &r.epochs {
            assert_eq!(
                e.tracking, e.visible,
                "no lock loss expected at 100 km (t={})",
                e.t
            );
            assert!(
                e.sats.iter().all(|s| s.status != "LOST"),
                "no satellite should be LOST at 100 km"
            );
        }
        assert_eq!(r.fom.availability_under_jamming, r.fom.availability_nominal);
    }

    #[test]
    fn no_jammer_is_a_clean_sky_baseline_and_run_is_deterministic() {
        let scn = scenario(None);
        let r = run_jamming(&scn);
        assert!(!r.jammer_present);
        // With no jammer every visible satellite tracks, so jammed availability
        // equals the nominal ceiling and the mean J/S is undefined.
        assert_eq!(r.fom.availability_under_jamming, r.fom.availability_nominal);
        assert!(r.fom.mean_js_db.is_nan());
        for e in &r.epochs {
            assert_eq!(e.tracking, e.visible);
            // Clean-sky C/N₀ (≈ 41.7–45.5 dB-Hz) is well above the degraded band,
            // so every visible satellite is fully LOCKED.
            assert!(e.sats.iter().all(|s| s.status == "LOCKED"));
        }
        // Deterministic.
        let a = serde_json::to_string(&run_jamming(&scn)).unwrap();
        let b = serde_json::to_string(&run_jamming(&scn)).unwrap();
        assert_eq!(a, b);
    }

    /// The greatest number of satellites actually LOST at any epoch at or before
    /// `t_limit` seconds.
    fn scn_lost_within(r: &JammingResult, t_limit: f64) -> usize {
        r.epochs
            .iter()
            .filter(|e| e.t <= t_limit + 1e-9)
            .map(|e| e.sats.iter().filter(|s| s.status == "LOST").count())
            .max()
            .unwrap_or(0)
    }
}