doctrine 0.15.2

Project tooling CLI
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
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
758
759
760
761
762
763
764
765
766
767
768
769
770
771
772
773
774
775
776
777
778
779
780
781
782
783
784
785
786
787
788
789
790
791
792
793
794
795
796
797
798
799
800
801
802
803
804
805
806
807
808
809
810
811
812
813
814
815
816
817
818
819
820
821
822
823
824
825
826
827
828
829
830
831
832
833
834
835
836
837
838
839
840
841
842
843
844
845
846
847
848
849
850
851
852
853
854
855
856
857
858
859
860
861
862
863
864
865
866
867
868
869
870
871
872
873
874
875
876
877
878
879
880
881
882
883
884
885
886
887
888
889
890
891
892
893
894
895
896
897
898
899
900
901
902
903
904
905
906
907
908
909
910
911
912
913
914
915
916
917
918
919
920
921
922
923
924
925
926
927
928
929
930
931
932
933
934
935
936
937
938
939
940
941
942
943
944
945
946
947
948
949
950
951
952
953
954
955
956
957
958
959
960
961
962
963
964
965
966
967
968
969
970
971
972
973
974
975
976
977
978
979
980
981
982
983
984
985
986
987
988
989
990
991
992
993
994
995
996
997
998
999
1000
1001
1002
1003
1004
1005
1006
1007
1008
1009
1010
1011
1012
1013
1014
1015
1016
1017
1018
1019
1020
1021
1022
1023
1024
1025
1026
1027
1028
1029
1030
1031
1032
1033
1034
1035
1036
1037
1038
1039
1040
1041
1042
1043
1044
1045
1046
1047
1048
1049
1050
1051
1052
1053
1054
1055
1056
1057
1058
1059
1060
1061
1062
1063
1064
1065
1066
1067
1068
1069
1070
1071
1072
1073
1074
1075
1076
1077
1078
1079
1080
1081
1082
1083
1084
1085
1086
1087
1088
1089
1090
1091
1092
1093
1094
1095
1096
1097
1098
1099
1100
1101
1102
// SPDX-License-Identifier: GPL-3.0-only
//! The interestingness FINDINGS catalogue (SL-194 PHASE-01) — pure detectors over a
//! built [`PriorityGraph`] that surface the *aggregate / relational* structure a flat
//! `next`/`survey` row list conspicuously cannot show: forks, joins, gating fan-out,
//! value inversions, order displacement, score plateaus, and provenance (evicted soft
//! edges + degraded dep cycles).
//!
//! Engine layer, PURE (ADR-001): no clock, RNG, or disk. Every detector is a
//! `fn(&PriorityGraph, …) -> Vec<Finding>` deriving its signal from the honest substrate
//! (the [`super::channels`] accessors + the [`super::order`] frontier primitives) — the
//! impure shell ([`super::surface::findings`]) owns the scan + build. Edge access rides
//! `channels` (the cordage `Graph` has no `edge_count`/`node_count` — accessors iterate
//! overlay edges per node), so the detectors match `survey`/`explain` eligibility and
//! terminal handling exactly rather than re-deriving edge logic.
//!
//! Direction (the trap): the dep overlay stores `needs` prereq→dependent (the B→A flip).
//! `Fork` / `GatingFanOut` read `channels::blocking` (OUT — what settling the hub
//! unblocks); `Join` reads `channels::blocked_by` (IN — its prerequisites).
//!
//! Findings are represented as an enum + accessor `impl`, mirroring the [`ReasonKind`]
//! render-source-of-truth idiom next door (`view.rs`): each variant carries its own
//! structured payload, the renderer only formats. Provenance findings REUSE the existing
//! `ReasonKind::{EvictedEdge,CycleDegraded}` variants (DRY, and the render fragment is
//! shared with `explain`).
//!
//! The β-family (`OrderInstability` / `ArmResequencing`) is PHASE-02 — contested
//! orderings surfaced by rebuilding the graph at the two β endpoints (`skew` 0 / 1 over
//! the SAME scan). [`detect`] runs them ONLY when the shell supplies a
//! `Some(&BetaEndpoints)`; with `None` (no non-terminal interval estimate) the β-family
//! stays silent (starved-until-estimates, R1).

use std::collections::{BTreeMap, BTreeSet};

use crate::backlog_order::OverrideReason;
use crate::relation_graph::EntityKey;

use super::channels;
use super::config::PriorityConfig;
use super::graph::PriorityGraph;
use super::order;
use super::partition::{StatusClass, status_class};
use super::view::ReasonKind;

// ── Thresholds (STD-001: one named-const block, no magic literals) ──────────
//
// The six judgment knobs. The three ε knobs are SEEDED defaults (design D5 / R3),
// calibrated from the first live-corpus output — the probe itself is the instrument.

/// A fork/gating hub must open at least this many non-terminal arms to be interesting.
pub(crate) const FORK_MIN_ARMS: usize = 2;
/// A join must gather at least this many non-terminal prerequisites.
pub(crate) const JOIN_MIN_PREREQS: usize = 2;
/// A gating-class fan-out must block at least this many non-terminal dependents.
pub(crate) const GATING_MIN_BLOCKS: usize = 2;
/// Adjacent scores within this epsilon are a near-tie (a plateau step). SEEDED.
pub(crate) const PLATEAU_EPS: f64 = 0.01;
/// A value inversion fires only when `base(blocked) − base(blocker)` exceeds this
/// positive gap — filters sub-noise inversions. SEEDED.
pub(crate) const INVERSION_MIN_GAP: f64 = 0.5;
/// A node must move at least this many positions between the constraint-bearing survey
/// order and the constraint-free score order to count as displaced. SEEDED.
pub(crate) const DISPLACEMENT_MIN_DELTA: usize = 3;
/// The β sweep endpoints (design D4 / SL-172): `skew = BETA_LO` → cost = lower
/// (optimistic), `skew = BETA_HI` → cost = upper (pessimistic). The `{0, 1}` sample is
/// probe-grade — a finer flip-β grid is the deferred refinement (R5).
pub(crate) const BETA_LO: f64 = 0.0;
pub(crate) const BETA_HI: f64 = 1.0;

// ── The catalogue ───────────────────────────────────────────────────────────

/// One interestingness finding (design §The catalogue). Each variant carries its own
/// structured payload (canonical `KIND-NNN` refs, never opaque cordage ids); the render
/// layer formats it. `Provenance` wraps the existing [`ReasonKind`] provenance variants.
///
/// PHASE-01 subset — the β-family (`OrderInstability` / `ArmResequencing`) is PHASE-02.
///
/// NOT `Eq` — `ValueInversion.gap` / `Plateau.span` are `f64`; `PartialEq` carries the
/// test assertions (no `Finding` is a map key).
#[derive(Debug, Clone, PartialEq)]
pub(crate) enum Finding {
    /// A hub whose settling unblocks ≥ [`FORK_MIN_ARMS`] non-terminal dependents
    /// (a branch point). Excludes gating-class hubs (those are `GatingFanOut`).
    Fork { hub: String, arms: Vec<String> },
    /// A node gated by ≥ [`JOIN_MIN_PREREQS`] non-terminal prerequisites (a merge point).
    Join { node: String, prereqs: Vec<String> },
    /// A GATING-class record (ADR-017 — unsettled knowledge, never workable) blocking
    /// ≥ [`GATING_MIN_BLOCKS`] non-terminal dependents. Takes precedence over `Fork`.
    GatingFanOut { record: String, blocks: Vec<String> },
    /// A low-worth blocker gating a high-worth dependent — `base(blocked) − base(blocker)`
    /// exceeds [`INVERSION_MIN_GAP`]. Compares intrinsic `base` (NOT `score`, which folds
    /// the gated dependent's leverage back into the blocker — F-ext-2).
    ValueInversion {
        blocker: String,
        blocked: String,
        gap: f64,
    },
    /// A node whose position in the constraint-bearing survey order (`act_rank → score →
    /// id`) differs from its position in the constraint-free score order by ≥
    /// [`DISPLACEMENT_MIN_DELTA`] — the constraints doing real work.
    Displacement {
        node: String,
        score_rank: usize,
        constrained_rank: usize,
        delta: usize,
    },
    /// A maximal adjacent near-tie run in the `next` frontier order (within
    /// [`PLATEAU_EPS`] step-to-step) — a segment the flat list cannot distinguish.
    Plateau { members: Vec<String>, span: f64 },
    /// A pair ADJACENT in the base frontier order whose relative order INVERTS between
    /// the β=0 and β=1 frontier orders (endpoint-contested — R5). `high`/`low` are the
    /// pair in base-order (higher-priority first); `moved` is the positions the pair
    /// shifted across the sweep (the magnitude, surfaced via [`Finding::magnitude`], not
    /// a payload key).
    OrderInstability {
        high: String,
        low: String,
        moved: usize,
    },
    /// A base [`Finding::Fork`] whose ARM order (the arms frontier-ordered among
    /// themselves) differs between the β=0 and β=1 endpoints. `moved` is the count of
    /// arms whose position changed (the magnitude).
    ArmResequencing {
        hub: String,
        order_lo: Vec<String>,
        order_hi: Vec<String>,
        moved: usize,
    },
    /// A provenance finding — an evicted soft (`after`) edge, or a degraded dep cycle
    /// SCC. Reuses [`ReasonKind::EvictedEdge`] / [`ReasonKind::CycleDegraded`] (DRY;
    /// shares the `explain` render fragment).
    Provenance(ReasonKind),
}

/// `f64` magnitude of a count, cast losslessly via `u32` (avoids the denied `as`
/// conversion; saturates for absurd counts that cannot arise in practice).
fn count_magnitude(n: usize) -> f64 {
    f64::from(u32::try_from(n).unwrap_or(u32::MAX))
}

impl Finding {
    /// The finding's magnitude — ranks findings WITHIN their kind group (F-ext-5: kind
    /// grouping outranks magnitude by design; this is NOT a cross-kind rank).
    pub(crate) fn magnitude(&self) -> f64 {
        match self {
            Finding::Fork { arms, .. } => count_magnitude(arms.len()),
            Finding::Join { prereqs, .. } => count_magnitude(prereqs.len()),
            Finding::GatingFanOut { blocks, .. } => count_magnitude(blocks.len()),
            Finding::ValueInversion { gap, .. } => *gap,
            Finding::Displacement { delta, .. } => count_magnitude(*delta),
            Finding::Plateau { members, .. } => count_magnitude(members.len()),
            // Both β-family variants rank within their kind by positions moved.
            Finding::OrderInstability { moved, .. } | Finding::ArmResequencing { moved, .. } => {
                count_magnitude(*moved)
            }
            Finding::Provenance(ReasonKind::CycleDegraded { nodes }) => {
                count_magnitude(nodes.len())
            }
            // An evicted edge — the two endpoints; ranks below any multi-node cycle.
            Finding::Provenance(_) => 2.0,
        }
    }

    /// The finding's kind label — the group header AND the json `kind` tag. Kind grouping
    /// is the primary output sort key (F-ext-5).
    pub(crate) fn kind_label(&self) -> &'static str {
        match self {
            Finding::Fork { .. } => "forks",
            Finding::Join { .. } => "joins",
            Finding::GatingFanOut { .. } => "gating fan-out",
            Finding::ValueInversion { .. } => "value inversions",
            Finding::Displacement { .. } => "displacements",
            Finding::Plateau { .. } => "plateaus",
            Finding::OrderInstability { .. } => "order instability",
            Finding::ArmResequencing { .. } => "arm resequencing",
            Finding::Provenance(_) => "provenance",
        }
    }
}

/// The pre-built β endpoint graphs (skew 0 / skew 1 over the SAME scan) the β-family
/// detectors read (design §Purity boundary). The impure shell
/// ([`super::surface::beta_endpoints`]) owns the two builds; the detectors here derive
/// frontier orders from these raw graphs via the pure [`super::order`] primitives.
pub(crate) struct BetaEndpoints {
    /// The graph rebuilt at `estimate.skew = BETA_LO` (optimistic cost).
    pub(crate) lo: PriorityGraph,
    /// The graph rebuilt at `estimate.skew = BETA_HI` (pessimistic cost).
    pub(crate) hi: PriorityGraph,
}

// ── Status-class helper (engine-pure read of the partition table) ────────────

/// The [`StatusClass`] of a node — a pure read of the single-source partition table
/// (`super::partition::status_class`) over the node's captured `NodeAttr`. Mirrors the
/// private `channels::class_of`; re-derived here (not imported) so `findings.rs` stays
/// within its own module seam while still routing through the ONE classification source.
fn class_of(g: &PriorityGraph, key: EntityKey) -> StatusClass {
    match g.attrs.get(&key) {
        Some(a) => status_class(a.kind, a.status.as_deref()),
        None => StatusClass::Unrecognised,
    }
}

/// Canonical refs for a slice of keys (sorted-by-key order preserved).
fn refs(keys: &[EntityKey]) -> Vec<String> {
    keys.iter().map(|k| k.canonical()).collect()
}

// ── Detectors (pure fns over the graph) ──────────────────────────────────────

/// The structural basis of a fork — every non-gating hub with ≥ [`FORK_MIN_ARMS`]
/// non-terminal arms, as `(hub, arm keys)`. Shared by the [`Finding::Fork`] detector and
/// the β-family [`arm_resequencing`] (DRY): both need the same hub + arm set, differing
/// only in how they present it. Reads `channels::blocking` (OUT); filters arms to
/// non-terminal (blocking does NOT — F5); excludes gating-class hubs so a gating fan-out
/// reports ONCE, as `GatingFanOut` (F6 precedence).
fn fork_arms(g: &PriorityGraph) -> Vec<(EntityKey, Vec<EntityKey>)> {
    let mut out = Vec::new();
    for &hub in g.attrs.keys() {
        if class_of(g, hub) == StatusClass::Gating {
            continue; // gating hubs → GatingFanOut only
        }
        let arms: Vec<EntityKey> = channels::blocking(g, hub)
            .into_iter()
            .filter(|a| class_of(g, *a) != StatusClass::Terminal)
            .collect();
        if arms.len() >= FORK_MIN_ARMS {
            out.push((hub, arms));
        }
    }
    out
}

/// **Fork** — a non-gating hub whose settling unblocks ≥ [`FORK_MIN_ARMS`] non-terminal
/// dependents. Presents [`fork_arms`] as findings.
fn forks(g: &PriorityGraph) -> Vec<Finding> {
    fork_arms(g)
        .into_iter()
        .map(|(hub, arms)| Finding::Fork {
            hub: hub.canonical(),
            arms: refs(&arms),
        })
        .collect()
}

/// **Join** — a node gated by ≥ [`JOIN_MIN_PREREQS`] non-terminal prerequisites. Reads
/// `channels::blocked_by` (IN — already non-terminal-filtered, sorted, deduped).
fn joins(g: &PriorityGraph) -> Vec<Finding> {
    let mut out = Vec::new();
    for &node in g.attrs.keys() {
        let prereqs = channels::blocked_by(g, node);
        if prereqs.len() >= JOIN_MIN_PREREQS {
            out.push(Finding::Join {
                node: node.canonical(),
                prereqs: refs(&prereqs),
            });
        }
    }
    out
}

/// **`GatingFanOut`** — a GATING-class record (ADR-017) blocking ≥ [`GATING_MIN_BLOCKS`]
/// non-terminal dependents. Reads `channels::blocking` (OUT) from a gating hub; arms
/// filtered non-terminal (F5). Precedence: `forks` excludes gating hubs, so no node is
/// both (F6).
fn gating_fan_out(g: &PriorityGraph) -> Vec<Finding> {
    let mut out = Vec::new();
    for &hub in g.attrs.keys() {
        if class_of(g, hub) != StatusClass::Gating {
            continue;
        }
        let blocks: Vec<EntityKey> = channels::blocking(g, hub)
            .into_iter()
            .filter(|b| class_of(g, *b) != StatusClass::Terminal)
            .collect();
        if blocks.len() >= GATING_MIN_BLOCKS {
            out.push(Finding::GatingFanOut {
                record: hub.canonical(),
                blocks: refs(&blocks),
            });
        }
    }
    out
}

/// **`ValueInversion`** — a low-worth blocker gating a high-worth dependent:
/// `base(blocked) − base(blocker)` exceeds [`INVERSION_MIN_GAP`]. Compares intrinsic
/// `base` (value+risk, pre-consequence), NOT `score` — `score(blocker)` folds `leverage` from
/// the very dependent it gates, so a score test is dead (F-ext-2). Iterates each node's
/// non-terminal `blocked_by` prerequisites (the active dep edges).
fn value_inversions(g: &PriorityGraph) -> Vec<Finding> {
    let mut out = Vec::new();
    for &blocked in g.attrs.keys() {
        let blocked_base = channels::base(g, blocked);
        for blocker in channels::blocked_by(g, blocked) {
            let gap = blocked_base - channels::base(g, blocker);
            if gap > INVERSION_MIN_GAP {
                out.push(Finding::ValueInversion {
                    blocker: blocker.canonical(),
                    blocked: blocked.canonical(),
                    gap,
                });
            }
        }
    }
    out
}

/// **Displacement** — a node whose position in the constraint-bearing survey order
/// differs from its position in the constraint-free score order by ≥
/// [`DISPLACEMENT_MIN_DELTA`]. Both orders are DIRECT sorts the detector computes over
/// `channels::{blocked, score}` (survey-order = `act_rank → score desc → id`;
/// score-order = `score desc → id`) — NOT `order.rs` (survey-order is not a frontier
/// order) and NOT the shell's `survey_for_map` (keeps the engine from importing the
/// shell — plan.md "Order sources"). Node set = the survey default (eligible, not
/// promoted) so blocked-but-eligible items participate (the displacement signal).
fn displacements(g: &PriorityGraph) -> Vec<Finding> {
    let nodes: Vec<EntityKey> = g
        .attrs
        .keys()
        .copied()
        .filter(|&k| channels::eligible(g, k) && !channels::promoted(g, k))
        .collect();

    // Constrained (survey) order: Actionable(0) before Blocked(1), then score desc, id asc.
    let mut constrained = nodes.clone();
    constrained.sort_by(|a, b| {
        let ra = u8::from(channels::blocked(g, *a));
        let rb = u8::from(channels::blocked(g, *b));
        ra.cmp(&rb)
            .then(channels::score(g, *b).total_cmp(&channels::score(g, *a)))
            .then(a.cmp(b))
    });

    // Constraint-free score order: score desc, id asc.
    let mut by_score = nodes.clone();
    by_score.sort_by(|a, b| {
        channels::score(g, *b)
            .total_cmp(&channels::score(g, *a))
            .then(a.cmp(b))
    });

    let cpos: BTreeMap<EntityKey, usize> = constrained
        .iter()
        .enumerate()
        .map(|(i, &k)| (k, i))
        .collect();
    let spos: BTreeMap<EntityKey, usize> =
        by_score.iter().enumerate().map(|(i, &k)| (k, i)).collect();

    let mut out = Vec::new();
    for &k in &nodes {
        let (Some(&c), Some(&s)) = (cpos.get(&k), spos.get(&k)) else {
            continue;
        };
        let delta = c.abs_diff(s);
        if delta >= DISPLACEMENT_MIN_DELTA {
            out.push(Finding::Displacement {
                node: k.canonical(),
                score_rank: s,
                constrained_rank: c,
                delta,
            });
        }
    }
    out
}

/// The `next` frontier order of a graph — the actionable, non-promoted set in the
/// score-aware induced-frontier order (`surface::next`'s exact basis), via the pure
/// [`order`] primitives. Shared by [`plateaus`] and the β-family detectors so the base /
/// lo / hi orderings are all derived through ONE recipe (DRY, purity preserved — no disk).
fn frontier_order_of(g: &PriorityGraph) -> Vec<EntityKey> {
    let actionable_set: BTreeSet<EntityKey> = g
        .attrs
        .keys()
        .copied()
        .filter(|&k| channels::actionable(g, k) && !channels::promoted(g, k))
        .collect();
    let actionable: Vec<EntityKey> = actionable_set.iter().copied().collect();
    let preds = order::surviving_seq_predecessors(g, &actionable_set);
    order::frontier_order(&actionable, &|k| channels::score(g, k), &preds)
}

/// **Plateau** — a maximal adjacent near-tie run in the `next` frontier order (each
/// step-to-step score difference within [`PLATEAU_EPS`]). Uses [`frontier_order_of`]
/// (byte-identical to `surface::next`'s order basis).
fn plateaus(g: &PriorityGraph) -> Vec<Finding> {
    let ordering = frontier_order_of(g);

    // Pair each node with its score ONCE, then group into maximal adjacent near-tie runs
    // (each step-to-step gap within PLATEAU_EPS). No indexing — a single forward scan.
    let scored: Vec<(EntityKey, f64)> = ordering
        .iter()
        .map(|&k| (k, channels::score(g, k)))
        .collect();

    let mut out = Vec::new();
    let mut run: Vec<(EntityKey, f64)> = Vec::new();
    for &(k, s) in &scored {
        match run.last() {
            Some(&(_, prev)) if (prev - s).abs() < PLATEAU_EPS => run.push((k, s)),
            _ => {
                flush_plateau(&mut out, &run);
                run.clear();
                run.push((k, s));
            }
        }
    }
    flush_plateau(&mut out, &run);
    out
}

/// Emit a `Plateau` finding for a completed near-tie run of ≥2 members (a lone node is
/// no plateau). Span = |first score − last score| over the run. No panics (uses
/// `first`/`last`).
fn flush_plateau(out: &mut Vec<Finding>, run: &[(EntityKey, f64)]) {
    // A plateau needs a second member — a lone node is no run (structural, not a knob).
    if run.get(1).is_none() {
        return;
    }
    let members: Vec<EntityKey> = run.iter().map(|&(k, _)| k).collect();
    let first = run.first().map_or(0.0, |&(_, s)| s);
    let last = run.last().map_or(0.0, |&(_, s)| s);
    out.push(Finding::Plateau {
        members: refs(&members),
        span: (first - last).abs(),
    });
}

/// **Provenance** — evicted soft (`after`) edges + degraded dep-cycle SCCs. The
/// `channels::evicted_seq_edges` accessor is NODE-LOCAL (returns each eviction for BOTH
/// endpoints), so evictions are deduped GLOBALLY over `(from, to)` (the reason is
/// functionally determined by the pair — F-ext-3) → exactly one finding per evicted
/// edge. `channels::dep_cycles` SCCs are already component-deduped.
fn provenance(g: &PriorityGraph) -> Vec<Finding> {
    let mut out = Vec::new();

    // Global dedupe over the endpoint pair (a given pair carries one eviction reason).
    let mut edges: BTreeMap<(EntityKey, EntityKey), OverrideReason> = BTreeMap::new();
    for &k in g.attrs.keys() {
        for (from, to, reason) in channels::evicted_seq_edges(g, k) {
            edges.entry((from, to)).or_insert(reason);
        }
    }
    for ((from, to), reason) in edges {
        out.push(Finding::Provenance(ReasonKind::EvictedEdge {
            from: from.canonical(),
            to: to.canonical(),
            reason,
        }));
    }

    for component in channels::dep_cycles(g) {
        let nodes: Vec<String> = component.into_iter().map(EntityKey::canonical).collect();
        out.push(Finding::Provenance(ReasonKind::CycleDegraded { nodes }));
    }

    out
}

// ── β-family detectors (PHASE-02 — over the pre-built BetaEndpoints) ──────────

/// A `key → index` position map for a frontier order (the sort position each node holds).
fn positions(order: &[EntityKey]) -> BTreeMap<EntityKey, usize> {
    order.iter().enumerate().map(|(i, &k)| (k, i)).collect()
}

/// **`OrderInstability`** — a pair ADJACENT in the base frontier order whose relative
/// order INVERTS between the β=0 (lo) and β=1 (hi) frontier orders. O(N) adjacent-only
/// (not the O(N²) all-pairs flood — sound for detection: any total-order change forces
/// ≥1 inverted adjacent base pair, F4). ENDPOINT-contested only — interior flips sharing
/// a sign at both endpoints are a known false-negative (R5 / F-ext-1). Silent when the
/// order is endpoint-stable.
fn order_instability(base: &PriorityGraph, betas: &BetaEndpoints) -> Vec<Finding> {
    let base_order = frontier_order_of(base);
    let lo = positions(&frontier_order_of(&betas.lo));
    let hi = positions(&frontier_order_of(&betas.hi));

    let mut out = Vec::new();
    for pair in base_order.windows(2) {
        let [a, b] = *pair else { continue };
        // Both endpoints must carry both nodes (the actionable set is β-invariant, so
        // this holds in practice; skip defensively if a rebuild ever diverges).
        let (Some(&la), Some(&lb), Some(&ha), Some(&hb)) =
            (lo.get(&a), lo.get(&b), hi.get(&a), hi.get(&b))
        else {
            continue;
        };
        // `a` precedes `b` in base; an inversion is the two endpoints disagreeing on that.
        if (la < lb) != (ha < hb) {
            let moved = la.abs_diff(ha).max(lb.abs_diff(hb));
            out.push(Finding::OrderInstability {
                high: a.canonical(),
                low: b.canonical(),
                moved,
            });
        }
    }
    out
}

/// The frontier order of a fork's arms among THEMSELVES — the arm set treated as its own
/// frontier (score-aware, honouring any inter-arm surviving seq edges). β-sensitive via
/// `channels::score`, so it flips lo↔hi exactly when the endpoints disagree on arm order.
fn arm_order(g: &PriorityGraph, arms: &[EntityKey]) -> Vec<EntityKey> {
    let set: BTreeSet<EntityKey> = arms.iter().copied().collect();
    let preds = order::surviving_seq_predecessors(g, &set);
    order::frontier_order(arms, &|k| channels::score(g, k), &preds)
}

/// **`ArmResequencing`** — a base [`fork_arms`] fork whose arm order differs between the
/// β=0 and β=1 endpoints. Arms come from the BASE fork; their order is recomputed at each
/// endpoint via [`arm_order`]. Silent when the arm order is endpoint-stable. Direction /
/// terminal handling is `fork_arms`' (shared with the Fork detector).
fn arm_resequencing(base: &PriorityGraph, betas: &BetaEndpoints) -> Vec<Finding> {
    let mut out = Vec::new();
    for (hub, arms) in fork_arms(base) {
        let lo = arm_order(&betas.lo, &arms);
        let hi = arm_order(&betas.hi, &arms);
        if lo != hi {
            let moved = lo.iter().zip(hi.iter()).filter(|(a, b)| a != b).count();
            out.push(Finding::ArmResequencing {
                hub: hub.canonical(),
                order_lo: refs(&lo),
                order_hi: refs(&hi),
                moved,
            });
        }
    }
    out
}

/// Run every PHASE-01 (today's-data) detector over the built graph and return the
/// findings sorted `(kind_label asc, magnitude desc)` — kind grouping is the primary key
/// (F-ext-5), magnitude ranks within a kind section. PURE + graph-only (design
/// §The purity boundary): derives every order internally; the shell owns disk.
///
/// The β-family (`OrderInstability` / `ArmResequencing`) runs ONLY when `betas` is
/// `Some` — the shell supplies the pre-built endpoint graphs iff a non-terminal interval
/// estimate exists; with `None` the family stays silent (starved-until-estimates, R1).
/// `_cfg` is retained for signature parity (the shell reads it to build `betas`; the
/// pure detectors need only the graphs).
pub(crate) fn detect(
    base: &PriorityGraph,
    _cfg: &PriorityConfig,
    betas: Option<&BetaEndpoints>,
) -> Vec<Finding> {
    let mut findings = Vec::new();
    findings.extend(forks(base));
    findings.extend(joins(base));
    findings.extend(gating_fan_out(base));
    findings.extend(value_inversions(base));
    findings.extend(displacements(base));
    findings.extend(plateaus(base));
    findings.extend(provenance(base));
    if let Some(betas) = betas {
        findings.extend(order_instability(base, betas));
        findings.extend(arm_resequencing(base, betas));
    }

    findings.sort_by(|a, b| {
        a.kind_label()
            .cmp(b.kind_label())
            .then(b.magnitude().total_cmp(&a.magnitude()))
    });
    findings
}

#[cfg(test)]
mod tests {
    use super::*;
    use std::fs;
    use std::path::Path;

    use crate::priority::config;
    use crate::priority::graph;

    fn tmp() -> tempfile::TempDir {
        tempfile::tempdir().unwrap()
    }

    fn write(root: &Path, rel: &str, body: &str) {
        let path = root.join(rel);
        fs::create_dir_all(path.parent().unwrap()).unwrap();
        fs::write(path, body).unwrap();
    }

    /// Seed a backlog issue with a status + raw `[relationships]` body (needs/after
    /// lines authored verbatim).
    fn seed_issue(root: &Path, id: u32, status: &str, rels: &str) {
        write(
            root,
            &format!(".doctrine/backlog/issue/{id:03}/backlog-{id:03}.toml"),
            &format!(
                "id = {id}\nslug = \"i\"\ntitle = \"I{id}\"\nkind = \"issue\"\nstatus = \"{status}\"\n\
                 resolution = \"\"\ncreated = \"2026-01-01\"\nupdated = \"2026-01-01\"\n\
                 [relationships]\n{rels}"
            ),
        );
        write(
            root,
            &format!(".doctrine/backlog/issue/{id:03}/backlog-{id:03}.md"),
            "b\n",
        );
    }

    /// Seed a valued issue (explicit `[value]` over a fixed estimate) with relations.
    fn seed_valued(root: &Path, id: u32, value: f64, rels: &str) {
        write(
            root,
            &format!(".doctrine/backlog/issue/{id:03}/backlog-{id:03}.toml"),
            &format!(
                "id = {id}\nslug = \"i\"\ntitle = \"I{id}\"\nkind = \"issue\"\nstatus = \"open\"\n\
                 resolution = \"\"\ncreated = \"2026-01-01\"\nupdated = \"2026-01-01\"\n\
                 [estimate]\nlower = 0.0\nupper = 10.0\n[value]\nvalue = {value}\n\
                 [relationships]\n{rels}"
            ),
        );
        write(
            root,
            &format!(".doctrine/backlog/issue/{id:03}/backlog-{id:03}.md"),
            "b\n",
        );
    }

    /// Seed a question record with the given status (open → Gating class).
    fn seed_question(root: &Path, id: u32, status: &str) {
        use crate::test_support::SCHEMA_KNOWLEDGE;
        write(
            root,
            &format!(".doctrine/knowledge/question/{id:03}/record-{id:03}.toml"),
            &format!(
                "schema = \"{SCHEMA_KNOWLEDGE}\"\nversion = 1\nid = {id}\nslug = \"q{id}\"\n\
                 title = \"Q{id}\"\nrecord_kind = \"question\"\nstatus = \"{status}\"\n\
                 created = \"2026-01-01\"\nupdated = \"2026-01-01\"\ntags = []\n"
            ),
        );
        write(
            root,
            &format!(".doctrine/knowledge/question/{id:03}/record-{id:03}.md"),
            "q\n",
        );
    }

    fn detect_root(root: &Path) -> Vec<Finding> {
        let g = graph::build(root).unwrap();
        detect(&g, &config::load(root), None)
    }

    /// Seed an issue with an explicit `[value]` over an ARBITRARY estimate interval
    /// (`lo`/`hi`) — the β sweep knob: a wide interval makes `est_cost` swing hard with
    /// `skew`, so the item's score (∝ value/est_cost) is β-sensitive.
    fn seed_interval(root: &Path, id: u32, value: f64, lo: f64, hi: f64, rels: &str) {
        write(
            root,
            &format!(".doctrine/backlog/issue/{id:03}/backlog-{id:03}.toml"),
            &format!(
                "id = {id}\nslug = \"i\"\ntitle = \"I{id}\"\nkind = \"issue\"\nstatus = \"open\"\n\
                 resolution = \"\"\ncreated = \"2026-01-01\"\nupdated = \"2026-01-01\"\n\
                 [estimate]\nlower = {lo}\nupper = {hi}\n[value]\nvalue = {value}\n\
                 [relationships]\n{rels}"
            ),
        );
        write(
            root,
            &format!(".doctrine/backlog/issue/{id:03}/backlog-{id:03}.md"),
            "b\n",
        );
    }

    /// Build the base graph + the β endpoint sweep (skew 0 / 1 over the same scan) and run
    /// the full detector set — the β-family's positive-path harness (mirrors the impure
    /// shell `surface::beta_endpoints`, which is not reachable from the engine layer).
    fn detect_beta(root: &Path) -> Vec<Finding> {
        use crate::catalog::scan::ScanMode;
        let scanned =
            crate::relation_graph::scan_entities(root, &mut vec![], ScanMode::default()).unwrap();
        let cfg = config::load(root);
        let base = graph::build_from_with_cfg(&scanned, root, &cfg).unwrap();
        let mut lo_cfg = cfg.clone();
        lo_cfg.estimate.skew = BETA_LO;
        let mut hi_cfg = cfg.clone();
        hi_cfg.estimate.skew = BETA_HI;
        let lo = graph::build_from_with_cfg(&scanned, root, &lo_cfg).unwrap();
        let hi = graph::build_from_with_cfg(&scanned, root, &hi_cfg).unwrap();
        let betas = BetaEndpoints { lo, hi };
        detect(&base, &cfg, Some(&betas))
    }

    fn has_fork(fs: &[Finding], hub: &str) -> bool {
        fs.iter()
            .any(|f| matches!(f, Finding::Fork { hub: h, .. } if h == hub))
    }
    fn has_join(fs: &[Finding], node: &str) -> bool {
        fs.iter()
            .any(|f| matches!(f, Finding::Join { node: n, .. } if n == node))
    }
    fn has_gating(fs: &[Finding], record: &str) -> bool {
        fs.iter()
            .any(|f| matches!(f, Finding::GatingFanOut { record: r, .. } if r == record))
    }

    // ── VT-3: structural detectors — positive + negative, direction/precedence ──

    #[test]
    fn fork_fires_on_two_nonterminal_arms_and_is_silent_on_one() {
        let dir = tmp();
        let root = dir.path();
        // ISS-002 and ISS-003 both need ISS-001 → ISS-001 forks (blocking OUT = {2,3}).
        seed_issue(root, 1, "open", "");
        seed_issue(root, 2, "open", "needs = [\"ISS-001\"]\n");
        seed_issue(root, 3, "open", "needs = [\"ISS-001\"]\n");
        // ISS-010 has a single dependent → NOT a fork.
        seed_issue(root, 10, "open", "");
        seed_issue(root, 11, "open", "needs = [\"ISS-010\"]\n");

        let fs = detect_root(root);
        assert!(has_fork(&fs, "ISS-001"), "ISS-001 forks 2 arms: {fs:?}");
        assert!(
            !has_fork(&fs, "ISS-010"),
            "single dependent is not a fork: {fs:?}"
        );
        // Direction: the ARMS are the dependents, and the hub is the prereq.
        let fork = fs
            .iter()
            .find(|f| matches!(f, Finding::Fork { hub, .. } if hub == "ISS-001"))
            .unwrap();
        if let Finding::Fork { arms, .. } = fork {
            assert_eq!(arms, &vec!["ISS-002".to_string(), "ISS-003".to_string()]);
        }
    }

    #[test]
    fn fork_filters_terminal_arms() {
        let dir = tmp();
        let root = dir.path();
        // ISS-001 blocks ISS-002 (open) and ISS-003 (closed/terminal). Only one
        // non-terminal arm survives → NOT a fork.
        seed_issue(root, 1, "open", "");
        seed_issue(root, 2, "open", "needs = [\"ISS-001\"]\n");
        seed_issue(root, 3, "closed", "needs = [\"ISS-001\"]\n");
        let fs = detect_root(root);
        assert!(
            !has_fork(&fs, "ISS-001"),
            "a terminal arm does not count toward the fork: {fs:?}"
        );
    }

    #[test]
    fn join_fires_on_two_prereqs_and_is_silent_on_one() {
        let dir = tmp();
        let root = dir.path();
        // ISS-001 needs ISS-002 and ISS-003 (both non-terminal) → a join.
        seed_issue(root, 1, "open", "needs = [\"ISS-002\", \"ISS-003\"]\n");
        seed_issue(root, 2, "open", "");
        seed_issue(root, 3, "open", "");
        // ISS-010 needs a single prereq → not a join.
        seed_issue(root, 10, "open", "needs = [\"ISS-011\"]\n");
        seed_issue(root, 11, "open", "");
        let fs = detect_root(root);
        assert!(has_join(&fs, "ISS-001"), "ISS-001 joins 2 prereqs: {fs:?}");
        assert!(
            !has_join(&fs, "ISS-010"),
            "single prereq is not a join: {fs:?}"
        );
    }

    #[test]
    fn gating_fan_out_fires_on_gating_hub_and_excludes_fork_double_report() {
        let dir = tmp();
        let root = dir.path();
        // QUE-001 (open → Gating) blocks ISS-002 and ISS-003 (both need it).
        seed_question(root, 1, "open");
        seed_issue(root, 2, "open", "needs = [\"QUE-001\"]\n");
        seed_issue(root, 3, "open", "needs = [\"QUE-001\"]\n");
        let fs = detect_root(root);
        assert!(has_gating(&fs, "QUE-001"), "gating hub fans out: {fs:?}");
        // Precedence: the gating hub is NOT also reported as a Fork.
        assert!(
            !has_fork(&fs, "QUE-001"),
            "a gating fan-out is reported ONCE (not a Fork): {fs:?}"
        );
    }

    #[test]
    fn gating_fan_out_silent_when_hub_is_workable() {
        let dir = tmp();
        let root = dir.path();
        // A workable hub with a fan-out is a Fork, not a GatingFanOut.
        seed_issue(root, 1, "open", "");
        seed_issue(root, 2, "open", "needs = [\"ISS-001\"]\n");
        seed_issue(root, 3, "open", "needs = [\"ISS-001\"]\n");
        let fs = detect_root(root);
        assert!(has_fork(&fs, "ISS-001"));
        assert!(
            !has_gating(&fs, "ISS-001"),
            "a workable hub is never a GatingFanOut: {fs:?}"
        );
    }

    #[test]
    fn plateau_fires_on_near_ties_and_is_silent_on_spread() {
        let dir = tmp();
        let root = dir.path();
        // Three bare open issues → identical default score → one plateau of 3.
        seed_issue(root, 1, "open", "");
        seed_issue(root, 2, "open", "");
        seed_issue(root, 3, "open", "");
        let fs = detect_root(root);
        let plateau = fs.iter().find(|f| matches!(f, Finding::Plateau { .. }));
        assert!(plateau.is_some(), "equal scores form a plateau: {fs:?}");
        if let Some(Finding::Plateau { members, .. }) = plateau {
            assert_eq!(members.len(), 3, "all three tie: {members:?}");
        }

        // A spread corpus: distinct values well beyond PLATEAU_EPS → no plateau.
        let dir2 = tmp();
        let root2 = dir2.path();
        seed_valued(root2, 1, 5.0, "");
        seed_valued(root2, 2, 50.0, "");
        seed_valued(root2, 3, 200.0, "");
        let fs2 = detect_root(root2);
        assert!(
            !fs2.iter().any(|f| matches!(f, Finding::Plateau { .. })),
            "well-separated scores form no plateau: {fs2:?}"
        );
    }

    #[test]
    fn displacement_fires_when_a_high_score_item_is_blocked() {
        let dir = tmp();
        let root = dir.path();
        // A high-value item blocked by an open risk sinks in the survey (constrained)
        // order (Blocked ranks after every Actionable) while topping the pure-score
        // order → a large positional delta. Several low-value actionable fillers widen
        // the gap past DISPLACEMENT_MIN_DELTA.
        seed_valued(root, 100, 500.0, "needs = [\"ISS-200\"]\n"); // high score, blocked
        seed_issue(root, 200, "open", ""); // the blocker (actionable, modest score)
        for id in 1..=6 {
            seed_valued(root, id, 0.1, ""); // low-score actionable fillers
        }
        let fs = detect_root(root);
        let displaced = fs
            .iter()
            .any(|f| matches!(f, Finding::Displacement { node, .. } if node == "ISS-100"));
        assert!(
            displaced,
            "the blocked high-score item is displaced: {fs:?}"
        );

        // Negative: an all-actionable corpus with matching orders → no displacement.
        let dir2 = tmp();
        let root2 = dir2.path();
        seed_valued(root2, 1, 5.0, "");
        seed_valued(root2, 2, 50.0, "");
        seed_valued(root2, 3, 200.0, "");
        let fs2 = detect_root(root2);
        assert!(
            !fs2.iter()
                .any(|f| matches!(f, Finding::Displacement { .. })),
            "actionable-only, order-agreeing corpus has no displacement: {fs2:?}"
        );
    }

    // ── VT-4: ValueInversion compares base, NOT score (leverage inflation) ──────

    #[test]
    fn value_inversion_fires_on_base_despite_leverage_inflated_score() {
        let dir = tmp();
        let root = dir.path();
        // ISS-002 (value 500 → base 500/6.5 ≈ 76.9) NEEDS ISS-001 (value 1 → base
        // 1/6.5 ≈ 0.15). base(blocked) − base(blocker) ≈ 76.8 > gap → inversion.
        seed_valued(root, 1, 1.0, ""); // the low-base blocker
        seed_valued(root, 2, 500.0, "needs = [\"ISS-001\"]\n"); // high-base dependent

        let g = graph::build(root).unwrap();
        let fs = detect(&g, &config::load(root), None);
        let inversion = fs.iter().any(|f| {
            matches!(
                f,
                Finding::ValueInversion { blocker, blocked, .. }
                    if blocker == "ISS-001" && blocked == "ISS-002"
            )
        });
        assert!(
            inversion,
            "low-base blocker of high-base dependent flagged: {fs:?}"
        );

        // Prove the leverage-inflation hazard the base test sidesteps: ISS-001's SCORE
        // is lifted well above its intrinsic base by the very dependent it gates.
        let k = |id| EntityKey { prefix: "ISS", id };
        assert!(
            channels::score(&g, k(1)) > channels::base(&g, k(1)) + 1.0,
            "score(blocker) is inflated by the gated dependent's leverage"
        );
    }

    #[test]
    fn value_inversion_silent_when_blocker_outweighs_dependent() {
        let dir = tmp();
        let root = dir.path();
        // A high-base blocker gating a low-base dependent is the CORRECT order — no
        // inversion (base(blocked) − base(blocker) is negative).
        seed_valued(root, 1, 500.0, ""); // high-base blocker
        seed_valued(root, 2, 1.0, "needs = [\"ISS-001\"]\n"); // low-base dependent
        let fs = detect_root(root);
        assert!(
            !fs.iter()
                .any(|f| matches!(f, Finding::ValueInversion { .. })),
            "a high-worth blocker gating low-worth work is not an inversion: {fs:?}"
        );
    }

    // ── VT-5: a single evicted seq edge → exactly ONE Provenance finding ────────

    #[test]
    fn one_evicted_seq_edge_yields_exactly_one_provenance_finding() {
        let dir = tmp();
        let root = dir.path();
        // A seq 2-cycle: ISS-001 after ISS-002 AND ISS-002 after ISS-001 → cordage
        // evicts one edge to linearize. The node-local accessor reports the eviction
        // for BOTH endpoints; the detector must dedupe to ONE finding.
        seed_valued(root, 1, 10.0, "after = [{ to = \"ISS-002\", rank = 0 }]\n");
        seed_valued(root, 2, 100.0, "after = [{ to = \"ISS-001\", rank = 0 }]\n");

        let g = graph::build(root).unwrap();
        // Precondition: an eviction actually occurred (both endpoints report it).
        let total_local: usize = g
            .attrs
            .keys()
            .map(|&k| channels::evicted_seq_edges(&g, k).len())
            .sum();
        assert!(
            total_local >= 2,
            "both endpoints report the eviction: {total_local}"
        );

        let fs = detect(&g, &config::load(root), None);
        let evicted: Vec<&Finding> = fs
            .iter()
            .filter(|f| matches!(f, Finding::Provenance(ReasonKind::EvictedEdge { .. })))
            .collect();
        assert_eq!(
            evicted.len(),
            1,
            "the node-local double-report is globally deduped to ONE finding: {fs:?}"
        );
    }

    // ── detect ordering: kind grouping outranks magnitude (F-ext-5) ─────────────

    #[test]
    fn detect_sorts_by_kind_then_magnitude_desc() {
        let dir = tmp();
        let root = dir.path();
        // Two forks of different arm counts → same kind section, larger first.
        seed_issue(root, 1, "open", "");
        seed_issue(root, 2, "open", "needs = [\"ISS-001\"]\n");
        seed_issue(root, 3, "open", "needs = [\"ISS-001\"]\n");
        seed_issue(root, 4, "open", "needs = [\"ISS-001\"]\n"); // ISS-001 → 3 arms
        seed_issue(root, 10, "open", "");
        seed_issue(root, 11, "open", "needs = [\"ISS-010\"]\n");
        seed_issue(root, 12, "open", "needs = [\"ISS-010\"]\n"); // ISS-010 → 2 arms

        let fs = detect_root(root);
        let fork_hubs: Vec<&String> = fs
            .iter()
            .filter_map(|f| match f {
                Finding::Fork { hub, .. } => Some(hub),
                _ => None,
            })
            .collect();
        assert_eq!(
            fork_hubs,
            vec![&"ISS-001".to_string(), &"ISS-010".to_string()],
            "larger fork (3 arms) precedes smaller (2 arms) within the kind: {fs:?}"
        );
    }

    // ── VT-2: β-family — OrderInstability + ArmResequencing (positive + negative) ──

    fn order_instability_pairs(fs: &[Finding]) -> Vec<(String, String)> {
        fs.iter()
            .filter_map(|f| match f {
                Finding::OrderInstability { high, low, .. } => Some((high.clone(), low.clone())),
                _ => None,
            })
            .collect()
    }

    #[test]
    fn order_instability_fires_on_endpoint_flip_and_is_silent_when_stable() {
        // Two actionable leaves whose relative score order FLIPS across the β sweep:
        //   ISS-001 value 10, estimate [1,100] — cheap at β0 (cost 1 → 10), dear at β1
        //     (cost 100 → 0.1).
        //   ISS-002 value 5, estimate [5,6] — nearly β-invariant (β0 → 1, β1 → 0.83).
        // β0 order: [ISS-001, ISS-002]; β1 order: [ISS-002, ISS-001] → an inversion.
        let dir = tmp();
        let root = dir.path();
        seed_interval(root, 1, 10.0, 1.0, 100.0, "");
        seed_interval(root, 2, 5.0, 5.0, 6.0, "");

        let fs = detect_beta(root);
        let pairs = order_instability_pairs(&fs);
        assert_eq!(
            pairs.len(),
            1,
            "exactly one contested adjacent pair: {fs:?}"
        );
        let members: BTreeSet<&str> = [pairs[0].0.as_str(), pairs[0].1.as_str()]
            .into_iter()
            .collect();
        assert_eq!(
            members,
            BTreeSet::from(["ISS-001", "ISS-002"]),
            "the flipping pair is the two leaves: {fs:?}"
        );
        // magnitude is the positions-moved (≥1 for a real inversion).
        let mag = fs
            .iter()
            .find(|f| matches!(f, Finding::OrderInstability { .. }))
            .unwrap()
            .magnitude();
        assert!(mag >= 1.0, "positions moved ≥ 1: {mag}");

        // Negative: a corpus whose order is endpoint-STABLE (ISS-001 dominates at both
        // endpoints) → no OrderInstability.
        let dir2 = tmp();
        let root2 = dir2.path();
        seed_interval(root2, 1, 100.0, 1.0, 2.0, "");
        seed_interval(root2, 2, 1.0, 1.0, 2.0, "");
        let fs2 = detect_beta(root2);
        assert!(
            !fs2.iter()
                .any(|f| matches!(f, Finding::OrderInstability { .. })),
            "endpoint-stable order emits no OrderInstability: {fs2:?}"
        );
    }

    #[test]
    fn arm_resequencing_fires_when_fork_arm_order_flips_lo_hi() {
        // ISS-001 is a fork hub; its two arms (both need it) reorder across the sweep:
        //   ISS-002 value 10, estimate [1,100] (β-sensitive), ISS-003 value 5, [5,6].
        // β0 arm order: [ISS-002, ISS-003]; β1: [ISS-003, ISS-002] → resequenced.
        let dir = tmp();
        let root = dir.path();
        seed_issue(root, 1, "open", "");
        seed_interval(root, 2, 10.0, 1.0, 100.0, "needs = [\"ISS-001\"]\n");
        seed_interval(root, 3, 5.0, 5.0, 6.0, "needs = [\"ISS-001\"]\n");

        let fs = detect_beta(root);
        let reseq = fs
            .iter()
            .find(|f| matches!(f, Finding::ArmResequencing { hub, .. } if hub == "ISS-001"));
        assert!(reseq.is_some(), "the fork's arms resequence lo↔hi: {fs:?}");
        if let Some(Finding::ArmResequencing {
            order_lo, order_hi, ..
        }) = reseq
        {
            assert_ne!(order_lo, order_hi, "the two arm orders differ: {fs:?}");
            assert_eq!(
                order_lo.iter().collect::<BTreeSet<_>>(),
                order_hi.iter().collect::<BTreeSet<_>>(),
                "same arm set, different order"
            );
        }

        // Negative: arms with identical (β-invariant) estimates keep their order → no
        // ArmResequencing.
        let dir2 = tmp();
        let root2 = dir2.path();
        seed_issue(root2, 1, "open", "");
        seed_interval(root2, 2, 10.0, 1.0, 2.0, "needs = [\"ISS-001\"]\n");
        seed_interval(root2, 3, 1.0, 1.0, 2.0, "needs = [\"ISS-001\"]\n");
        let fs2 = detect_beta(root2);
        assert!(
            !fs2.iter()
                .any(|f| matches!(f, Finding::ArmResequencing { .. })),
            "endpoint-stable arm order emits no ArmResequencing: {fs2:?}"
        );
    }

    #[test]
    fn beta_family_silent_without_betas() {
        // With `None` betas (no interval estimate available), the β-family emits nothing
        // even over a corpus that WOULD flip — the starved-until-estimates behaviour (R1).
        let dir = tmp();
        let root = dir.path();
        seed_interval(root, 1, 10.0, 1.0, 100.0, "");
        seed_interval(root, 2, 5.0, 5.0, 6.0, "");
        let fs = detect_root(root); // passes None
        assert!(
            !fs.iter().any(|f| matches!(
                f,
                Finding::OrderInstability { .. } | Finding::ArmResequencing { .. }
            )),
            "None betas ⇒ β-family silent: {fs:?}"
        );
    }
}