uniworld 0.2.0

Correct Unicode text handling for every script: bidi, line breaking, segmentation, normalization
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
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
1103
1104
1105
1106
1107
1108
1109
1110
1111
1112
1113
1114
1115
1116
1117
1118
1119
1120
1121
1122
1123
1124
1125
1126
1127
1128
1129
1130
1131
1132
1133
1134
1135
1136
1137
1138
1139
1140
1141
1142
1143
1144
1145
1146
1147
1148
1149
1150
1151
1152
1153
1154
1155
1156
1157
1158
1159
1160
1161
1162
1163
1164
1165
1166
1167
1168
1169
1170
1171
1172
1173
1174
1175
1176
1177
1178
1179
1180
1181
1182
1183
1184
1185
1186
1187
1188
1189
1190
1191
1192
1193
1194
1195
1196
1197
//! UAX #9: Unicode Bidirectional Algorithm.
//!
//! Resolves mixed LTR/RTL text to visual order and provides logical/visual
//! position mappings.  Implements rules P1-P3, X1-X10, W1-W7, N0-N2, I1-I2,
//! L1-L4 per <https://www.unicode.org/reports/tr9/>.
//!
//! # Public API
//!
//! - [`BidiInfo`]: resolved paragraph direction, embedding levels, and visual
//!   reordering for a single paragraph.
//! - [`resolve`]: run the full algorithm on a paragraph string.
//! - [`resolve_classes`]: run the algorithm on a sequence of explicit
//!   `BidiClass` values (used by the class-level conformance tests).

use crate::data::bidi_class::{
    bidi_class, bracket_pair, is_closing_bracket, opening_bracket_for, BidiClass,
};

// Re-export BidiClass so callers can use bidi::BidiClass.
pub use crate::data::bidi_class::BidiClass as Class;

/// Maximum explicit embedding depth (UAX #9 BD2).
const MAX_DEPTH: u8 = 125;

/// Result of running the bidi algorithm on a single paragraph.
#[derive(Debug, Clone)]
pub struct BidiInfo {
    /// Resolved paragraph embedding level (0 = LTR, 1 = RTL).
    pub paragraph_level: u8,
    /// Resolved embedding level for each input element.
    /// Characters removed by X9 have level `u8::MAX`.
    pub levels: Vec<u8>,
    /// Visual ordering: indices into the original input, left-to-right.
    /// Characters removed by X9 are omitted.
    pub reorder: Vec<usize>,
}

// ---------------------------------------------------------------------------
// Public entry points
// ---------------------------------------------------------------------------

/// Resolve a paragraph string.  Returns [`BidiInfo`] with one level per
/// *character* (indexed by character position in the string).
///
/// `paragraph_override`: `None` for auto-detect (P2/P3), `Some(0)` force LTR,
/// `Some(1)` force RTL.
pub fn resolve(s: &str, paragraph_override: Option<u8>) -> BidiInfo {
    let chars: Vec<char> = s.chars().collect();
    let classes: Vec<BidiClass> = chars.iter().map(|&c| bidi_class(c as u32)).collect();
    let cps: Vec<u32> = chars.iter().map(|&c| c as u32).collect();
    resolve_inner(&classes, Some(&cps), paragraph_override)
}

/// Resolve a sequence of explicit [`BidiClass`] values (no actual characters).
/// Used by BidiTest.txt conformance tests which operate on class sequences.
pub fn resolve_classes(classes: &[BidiClass], paragraph_override: Option<u8>) -> BidiInfo {
    resolve_inner(classes, None, paragraph_override)
}

// ---------------------------------------------------------------------------
// Core algorithm
// ---------------------------------------------------------------------------

fn resolve_inner(
    original_classes: &[BidiClass],
    cps: Option<&[u32]>,
    paragraph_override: Option<u8>,
) -> BidiInfo {
    let n = original_classes.len();
    if n == 0 {
        return BidiInfo {
            paragraph_level: paragraph_override.unwrap_or(0),
            levels: vec![],
            reorder: vec![],
        };
    }

    // --- P2/P3: determine paragraph embedding level ---
    let para_level = match paragraph_override {
        Some(lev) => lev,
        None => determine_paragraph_level(original_classes),
    };

    // Working copy of classes (modified by X and subsequent rules).
    let mut classes: Vec<BidiClass> = original_classes.to_vec();
    let mut levels: Vec<u8> = vec![para_level; n];

    // --- X1-X8: explicit embeddings, overrides, isolates ---
    apply_explicit_levels(&mut classes, &mut levels, para_level);

    // --- X9: remove BN, embedding/override controls ---
    // Must use original_classes because X6 overrides may have changed BN to L/R.
    let removed = apply_x9(original_classes, &mut classes, &mut levels);

    // --- X10: run W, N, I rules on each isolating run sequence ---
    let sequences = build_isolating_run_sequences(
        original_classes,
        &classes,
        &levels,
        &removed,
        para_level,
    );

    for seq in &sequences {
        let sos = seq.sos;
        let eos = seq.eos;
        let indices = &seq.indices;
        let embed_level = seq.level;
        let embed_dir = if embed_level % 2 == 0 {
            BidiClass::L
        } else {
            BidiClass::R
        };

        // Extract working class slice for this sequence.
        let mut sc: Vec<BidiClass> = indices.iter().map(|&i| classes[i]).collect();

        // Record which positions are NSM *before* W rules change them.
        // N0 needs this to apply bracket type to following NSMs.
        let pre_w_nsm: Vec<bool> = sc.iter().map(|&c| c == BidiClass::NSM).collect();

        // --- W1-W7: weak type resolution ---
        resolve_weak_types(&mut sc, sos);

        // --- N0: bracket pair resolution ---
        if let Some(code_points) = cps {
            resolve_bracket_pairs(
                &mut sc, indices, code_points, &levels, embed_dir, sos,
                &pre_w_nsm,
            );
        }

        // --- N1-N2: neutral type resolution ---
        resolve_neutral_types(&mut sc, sos, eos, embed_dir);

        // --- I1-I2: implicit level resolution ---
        resolve_implicit_levels(&sc, indices, &mut levels);

        // Write resolved classes back.
        for (j, &i) in indices.iter().enumerate() {
            classes[i] = sc[j];
        }
    }

    // --- L1: reset levels of certain characters ---
    apply_l1(original_classes, &mut levels, para_level);

    // Restore X9-removed characters: they must retain level u8::MAX.
    for i in 0..n {
        if removed[i] {
            levels[i] = u8::MAX;
        }
    }

    // --- L2: reorder ---
    let reorder = compute_reorder(&levels);

    BidiInfo {
        paragraph_level: para_level,
        levels,
        reorder,
    }
}

// ---------------------------------------------------------------------------
// P2/P3: paragraph direction
// ---------------------------------------------------------------------------

fn determine_paragraph_level(classes: &[BidiClass]) -> u8 {
    // P2: find first strong character, skipping matched isolate pairs.
    let mut isolate_depth: u32 = 0;
    for &bc in classes {
        match bc {
            BidiClass::LRI | BidiClass::RLI | BidiClass::FSI => {
                isolate_depth += 1;
            }
            BidiClass::PDI => {
                if isolate_depth > 0 {
                    isolate_depth -= 1;
                }
            }
            _ => {
                if isolate_depth == 0 {
                    match bc {
                        BidiClass::L => return 0,
                        BidiClass::R | BidiClass::AL => return 1,
                        _ => {}
                    }
                }
            }
        }
    }
    0 // P3: default LTR
}

// ---------------------------------------------------------------------------
// X1-X8: explicit embeddings/overrides/isolates
// ---------------------------------------------------------------------------

#[derive(Clone, Copy)]
struct DirectionalStatus {
    level: u8,
    override_status: Override,
    isolate_status: bool,
}

#[derive(Clone, Copy, PartialEq)]
enum Override {
    Neutral,
    LTR,
    RTL,
}

fn apply_explicit_levels(classes: &mut [BidiClass], levels: &mut [u8], para_level: u8) {
    let n = classes.len();
    let mut stack: Vec<DirectionalStatus> = Vec::with_capacity(MAX_DEPTH as usize + 2);
    stack.push(DirectionalStatus {
        level: para_level,
        override_status: Override::Neutral,
        isolate_status: false,
    });
    let mut overflow_isolate_count: u32 = 0;
    let mut overflow_embedding_count: u32 = 0;
    let mut valid_isolate_count: u32 = 0;

    for i in 0..n {
        let bc = classes[i];
        let current = *stack.last().unwrap();

        match bc {
            // X2: RLE
            BidiClass::RLE => {
                let new_level = (current.level + 1) | 1;
                if new_level <= MAX_DEPTH
                    && overflow_isolate_count == 0
                    && overflow_embedding_count == 0
                {
                    stack.push(DirectionalStatus {
                        level: new_level,
                        override_status: Override::Neutral,
                        isolate_status: false,
                    });
                } else if overflow_isolate_count == 0 {
                    overflow_embedding_count += 1;
                }
            }
            // X3: LRE
            BidiClass::LRE => {
                let new_level = (current.level + 2) & !1;
                if new_level <= MAX_DEPTH
                    && overflow_isolate_count == 0
                    && overflow_embedding_count == 0
                {
                    stack.push(DirectionalStatus {
                        level: new_level,
                        override_status: Override::Neutral,
                        isolate_status: false,
                    });
                } else if overflow_isolate_count == 0 {
                    overflow_embedding_count += 1;
                }
            }
            // X4: RLO
            BidiClass::RLO => {
                let new_level = (current.level + 1) | 1;
                if new_level <= MAX_DEPTH
                    && overflow_isolate_count == 0
                    && overflow_embedding_count == 0
                {
                    stack.push(DirectionalStatus {
                        level: new_level,
                        override_status: Override::RTL,
                        isolate_status: false,
                    });
                } else if overflow_isolate_count == 0 {
                    overflow_embedding_count += 1;
                }
            }
            // X5: LRO
            BidiClass::LRO => {
                let new_level = (current.level + 2) & !1;
                if new_level <= MAX_DEPTH
                    && overflow_isolate_count == 0
                    && overflow_embedding_count == 0
                {
                    stack.push(DirectionalStatus {
                        level: new_level,
                        override_status: Override::LTR,
                        isolate_status: false,
                    });
                } else if overflow_isolate_count == 0 {
                    overflow_embedding_count += 1;
                }
            }
            // X5a: RLI
            BidiClass::RLI => {
                levels[i] = current.level;
                apply_override(classes, i, current.override_status);
                let new_level = (current.level + 1) | 1;
                if new_level <= MAX_DEPTH
                    && overflow_isolate_count == 0
                    && overflow_embedding_count == 0
                {
                    valid_isolate_count += 1;
                    stack.push(DirectionalStatus {
                        level: new_level,
                        override_status: Override::Neutral,
                        isolate_status: true,
                    });
                } else {
                    overflow_isolate_count += 1;
                }
            }
            // X5b: LRI
            BidiClass::LRI => {
                levels[i] = current.level;
                apply_override(classes, i, current.override_status);
                let new_level = (current.level + 2) & !1;
                if new_level <= MAX_DEPTH
                    && overflow_isolate_count == 0
                    && overflow_embedding_count == 0
                {
                    valid_isolate_count += 1;
                    stack.push(DirectionalStatus {
                        level: new_level,
                        override_status: Override::Neutral,
                        isolate_status: true,
                    });
                } else {
                    overflow_isolate_count += 1;
                }
            }
            // X5c: FSI
            BidiClass::FSI => {
                let inner_level = determine_paragraph_level_for_fsi(classes, i + 1);
                levels[i] = current.level;
                apply_override(classes, i, current.override_status);
                let new_level = if inner_level == 1 {
                    (current.level + 1) | 1 // as RLI
                } else {
                    (current.level + 2) & !1 // as LRI
                };
                if new_level <= MAX_DEPTH
                    && overflow_isolate_count == 0
                    && overflow_embedding_count == 0
                {
                    valid_isolate_count += 1;
                    stack.push(DirectionalStatus {
                        level: new_level,
                        override_status: Override::Neutral,
                        isolate_status: true,
                    });
                } else {
                    overflow_isolate_count += 1;
                }
            }
            // X6a: PDI
            BidiClass::PDI => {
                if overflow_isolate_count > 0 {
                    overflow_isolate_count -= 1;
                } else if valid_isolate_count > 0 {
                    overflow_embedding_count = 0;
                    while stack.len() > 1 {
                        if stack.last().unwrap().isolate_status {
                            stack.pop();
                            break;
                        }
                        stack.pop();
                    }
                    valid_isolate_count -= 1;
                }
                let cur = *stack.last().unwrap();
                levels[i] = cur.level;
                apply_override(classes, i, cur.override_status);
            }
            // X7: PDF
            BidiClass::PDF => {
                if overflow_isolate_count > 0 {
                    // do nothing
                } else if overflow_embedding_count > 0 {
                    overflow_embedding_count -= 1;
                } else if stack.len() >= 2 && !stack.last().unwrap().isolate_status {
                    stack.pop();
                }
            }
            // X8: B (paragraph separator)
            BidiClass::B => {
                levels[i] = para_level;
            }
            // X6: all other characters
            _ => {
                levels[i] = current.level;
                apply_override(classes, i, current.override_status);
            }
        }
    }
}

fn apply_override(classes: &mut [BidiClass], i: usize, ovr: Override) {
    match ovr {
        Override::LTR => classes[i] = BidiClass::L,
        Override::RTL => classes[i] = BidiClass::R,
        Override::Neutral => {}
    }
}

/// Determine paragraph level for FSI: P2/P3 applied to text following the FSI
/// until its matching PDI.
fn determine_paragraph_level_for_fsi(classes: &[BidiClass], start: usize) -> u8 {
    let mut depth: u32 = 1;
    for i in start..classes.len() {
        match classes[i] {
            BidiClass::LRI | BidiClass::RLI | BidiClass::FSI => depth += 1,
            BidiClass::PDI => {
                depth -= 1;
                if depth == 0 {
                    break;
                }
            }
            _ => {
                if depth == 1 {
                    match classes[i] {
                        BidiClass::L => return 0,
                        BidiClass::R | BidiClass::AL => return 1,
                        _ => {}
                    }
                }
            }
        }
    }
    0
}

// ---------------------------------------------------------------------------
// X9: remove embedding/override/BN controls
// ---------------------------------------------------------------------------

fn apply_x9(
    original_classes: &[BidiClass],
    classes: &mut [BidiClass],
    levels: &mut [u8],
) -> Vec<bool> {
    let mut removed = vec![false; classes.len()];
    for i in 0..classes.len() {
        // Check original class, not the possibly-overridden class.
        match original_classes[i] {
            BidiClass::RLE
            | BidiClass::LRE
            | BidiClass::RLO
            | BidiClass::LRO
            | BidiClass::PDF
            | BidiClass::BN => {
                removed[i] = true;
                levels[i] = u8::MAX;
                classes[i] = BidiClass::BN;
            }
            _ => {}
        }
    }
    removed
}

// ---------------------------------------------------------------------------
// X10: isolating run sequences
// ---------------------------------------------------------------------------

struct IsolatingRunSequence {
    indices: Vec<usize>,
    level: u8,
    sos: BidiClass,
    eos: BidiClass,
}

fn build_isolating_run_sequences(
    original_classes: &[BidiClass],
    classes: &[BidiClass],
    levels: &[u8],
    removed: &[bool],
    para_level: u8,
) -> Vec<IsolatingRunSequence> {
    let n = classes.len();
    if n == 0 {
        return vec![];
    }

    // Build level runs: each is a maximal contiguous block of non-removed
    // characters at the same embedding level.
    let mut runs: Vec<Vec<usize>> = Vec::new();
    let mut current_run: Vec<usize> = Vec::new();
    let mut current_level: u8 = u8::MAX;

    for i in 0..n {
        if removed[i] {
            continue;
        }
        if levels[i] != current_level {
            if !current_run.is_empty() {
                runs.push(current_run.clone());
                current_run.clear();
            }
            current_level = levels[i];
        }
        current_run.push(i);
    }
    if !current_run.is_empty() {
        runs.push(current_run);
    }

    if runs.is_empty() {
        return vec![];
    }

    // Match isolate initiators to PDIs using original_classes.
    // This is needed to chain level runs into isolating run sequences.
    // initiator_to_pdi[i] = Some(j) means original_classes[i] is an isolate
    // initiator and its matching PDI is at index j.
    let mut initiator_to_pdi: Vec<Option<usize>> = vec![None; n];
    let mut pdi_to_initiator: Vec<Option<usize>> = vec![None; n];
    {
        let mut stack: Vec<usize> = Vec::new();
        for i in 0..n {
            match original_classes[i] {
                BidiClass::LRI | BidiClass::RLI | BidiClass::FSI => {
                    stack.push(i);
                }
                BidiClass::PDI => {
                    if let Some(init) = stack.pop() {
                        initiator_to_pdi[init] = Some(i);
                        pdi_to_initiator[i] = Some(init);
                    }
                }
                _ => {}
            }
        }
    }

    // Build a map: for each run, which run index does it belong to?
    let mut char_to_run: Vec<usize> = vec![0; n];
    for (ri, run) in runs.iter().enumerate() {
        for &idx in run {
            char_to_run[idx] = ri;
        }
    }

    // Chain runs into isolating run sequences:
    // - A run whose first character is a PDI matching an isolate initiator is
    //   a continuation of the sequence containing that initiator's run.
    // - A run that ends with an isolate initiator continues in the run
    //   starting with the matching PDI.
    let num_runs = runs.len();
    let mut run_used: Vec<bool> = vec![false; num_runs];
    let mut sequences: Vec<IsolatingRunSequence> = Vec::new();

    for start_ri in 0..num_runs {
        if run_used[start_ri] {
            continue;
        }
        // Check if this run starts with a PDI that matches an initiator.
        // If so, it's a continuation and shouldn't start a new sequence.
        let first_char = runs[start_ri][0];
        if pdi_to_initiator[first_char].is_some() {
            // This run continues a previous run's sequence -- skip here;
            // it will be picked up when processing the initiator's run.
            continue;
        }

        // Build the chain of runs for this sequence.
        let mut chain: Vec<usize> = Vec::new();
        let mut ri = start_ri;
        loop {
            chain.push(ri);
            run_used[ri] = true;

            // Check if the last character of this run is an isolate initiator.
            let last_char = *runs[ri].last().unwrap();
            if let Some(pdi_idx) = initiator_to_pdi[last_char] {
                // The next run in the sequence is the one containing the PDI.
                if !removed[pdi_idx] {
                    let next_ri = char_to_run[pdi_idx];
                    if !run_used[next_ri] {
                        ri = next_ri;
                        continue;
                    }
                }
            }
            break;
        }

        // Gather all indices from the chained runs.
        let mut indices: Vec<usize> = Vec::new();
        for &cri in &chain {
            indices.extend_from_slice(&runs[cri]);
        }

        if indices.is_empty() {
            continue;
        }

        let run_level = levels[indices[0]];

        // sos: max(run_level, level of char before first char of first run in
        // the sequence, or para_level).
        let first_idx = indices[0];
        let prev_level = find_preceding_level(first_idx, levels, removed, para_level);
        let sos_level = run_level.max(prev_level);
        let sos = if sos_level % 2 == 0 {
            BidiClass::L
        } else {
            BidiClass::R
        };

        // eos: max(run_level, level of "following" character).
        // If last char is an isolate initiator:
        //   - With matching PDI: use the PDI's level.
        //   - Without matching PDI: use para_level (content inside the isolate
        //     is not "following" in the same embedding context).
        // Otherwise: level of the next non-removed character, or para_level.
        let last_idx = *indices.last().unwrap();
        let last_is_isolate_init =
            matches!(original_classes[last_idx], BidiClass::LRI | BidiClass::RLI | BidiClass::FSI);
        let next_level = if last_is_isolate_init {
            if let Some(pdi_idx) = initiator_to_pdi[last_idx] {
                levels[pdi_idx]
            } else {
                para_level
            }
        } else {
            find_following_level(last_idx, levels, removed, para_level)
        };
        let eos_level = run_level.max(if next_level == u8::MAX {
            para_level
        } else {
            next_level
        });
        let eos = if eos_level % 2 == 0 {
            BidiClass::L
        } else {
            BidiClass::R
        };

        sequences.push(IsolatingRunSequence {
            indices,
            level: run_level,
            sos,
            eos,
        });
    }

    // Mark any remaining unchained runs (PDI-starting runs whose initiators
    // weren't found or were removed) as their own sequences.
    for ri in 0..num_runs {
        if run_used[ri] {
            continue;
        }
        run_used[ri] = true;
        let indices = runs[ri].clone();
        if indices.is_empty() {
            continue;
        }
        let run_level = levels[indices[0]];
        let first_idx = indices[0];
        let last_idx = *indices.last().unwrap();
        let prev_level = find_preceding_level(first_idx, levels, removed, para_level);
        let next_level = find_following_level(last_idx, levels, removed, para_level);
        let sos_level = run_level.max(prev_level);
        let eos_level = run_level.max(if next_level == u8::MAX {
            para_level
        } else {
            next_level
        });
        let sos = if sos_level % 2 == 0 {
            BidiClass::L
        } else {
            BidiClass::R
        };
        let eos = if eos_level % 2 == 0 {
            BidiClass::L
        } else {
            BidiClass::R
        };
        sequences.push(IsolatingRunSequence {
            indices,
            level: run_level,
            sos,
            eos,
        });
    }

    sequences
}

fn find_preceding_level(idx: usize, levels: &[u8], removed: &[bool], para_level: u8) -> u8 {
    if idx == 0 {
        return para_level;
    }
    for i in (0..idx).rev() {
        if !removed[i] && levels[i] != u8::MAX {
            return levels[i];
        }
    }
    para_level
}

fn find_following_level(idx: usize, levels: &[u8], removed: &[bool], para_level: u8) -> u8 {
    for i in (idx + 1)..levels.len() {
        if !removed[i] && levels[i] != u8::MAX {
            return levels[i];
        }
    }
    para_level
}

// ---------------------------------------------------------------------------
// W1-W7: weak type resolution
// ---------------------------------------------------------------------------

fn resolve_weak_types(sc: &mut [BidiClass], sos: BidiClass) {
    let n = sc.len();
    if n == 0 {
        return;
    }

    // W1: NSM gets the type of the preceding character (or sos).
    // Isolate initiators and PDI are treated as ON for this rule.
    {
        let mut prev_type = sos;
        for i in 0..n {
            if sc[i] == BidiClass::NSM {
                sc[i] = match prev_type {
                    BidiClass::LRI | BidiClass::RLI | BidiClass::FSI | BidiClass::PDI => {
                        BidiClass::ON
                    }
                    _ => prev_type,
                };
            }
            prev_type = sc[i];
        }
    }

    // W2: EN preceded by AL (past non-strong types) becomes AN.
    {
        let mut last_strong = sos;
        for i in 0..n {
            match sc[i] {
                BidiClass::L | BidiClass::R | BidiClass::AL => last_strong = sc[i],
                BidiClass::EN => {
                    if last_strong == BidiClass::AL {
                        sc[i] = BidiClass::AN;
                    }
                }
                _ => {}
            }
        }
    }

    // W3: AL -> R.
    for i in 0..n {
        if sc[i] == BidiClass::AL {
            sc[i] = BidiClass::R;
        }
    }

    // W4: Single ES between EN+EN -> EN; single CS between EN+EN -> EN;
    //     single CS between AN+AN -> AN.
    for i in 1..n.saturating_sub(1) {
        if sc[i] == BidiClass::ES
            && sc[i - 1] == BidiClass::EN
            && sc[i + 1] == BidiClass::EN
        {
            sc[i] = BidiClass::EN;
        } else if sc[i] == BidiClass::CS {
            if sc[i - 1] == BidiClass::EN && sc[i + 1] == BidiClass::EN {
                sc[i] = BidiClass::EN;
            } else if sc[i - 1] == BidiClass::AN && sc[i + 1] == BidiClass::AN {
                sc[i] = BidiClass::AN;
            }
        }
    }

    // W5: Sequence of ETs adjacent to EN -> EN.
    {
        let mut prev_en = false;
        for i in 0..n {
            match sc[i] {
                BidiClass::EN => prev_en = true,
                BidiClass::ET if prev_en => sc[i] = BidiClass::EN,
                _ => prev_en = false,
            }
        }
        let mut next_en = false;
        for i in (0..n).rev() {
            match sc[i] {
                BidiClass::EN => next_en = true,
                BidiClass::ET if next_en => sc[i] = BidiClass::EN,
                _ => next_en = false,
            }
        }
    }

    // W6: Remaining ES, ET, CS -> ON.
    for i in 0..n {
        if matches!(sc[i], BidiClass::ES | BidiClass::ET | BidiClass::CS) {
            sc[i] = BidiClass::ON;
        }
    }

    // W7: EN preceded by L (past non-L/R types) becomes L.
    {
        let mut last_strong = sos;
        for i in 0..n {
            match sc[i] {
                BidiClass::L | BidiClass::R => last_strong = sc[i],
                BidiClass::EN => {
                    if last_strong == BidiClass::L {
                        sc[i] = BidiClass::L;
                    }
                }
                _ => {}
            }
        }
    }
}

// ---------------------------------------------------------------------------
// N0: bracket pair resolution (BD16)
// ---------------------------------------------------------------------------

fn resolve_bracket_pairs(
    sc: &mut [BidiClass],
    indices: &[usize],
    cps: &[u32],
    _levels: &[u8],
    embed_dir: BidiClass,
    sos: BidiClass,
    pre_w_nsm: &[bool],
) {
    let n = sc.len();
    if n == 0 {
        return;
    }

    // BD16: find bracket pairs.
    // Per spec: "the Bidi_Paired_Bracket_Type property is considered only
    // for characters whose *current* Bidi_Class is ON."
    // Also: bracket pairs consider canonical equivalents (e.g. U+2329 = U+3008).
    let mut open_stack: Vec<(usize, u32)> = Vec::new(); // (idx in sc, canonical cp)
    let mut pairs: Vec<(usize, usize)> = Vec::new();

    for j in 0..n {
        if sc[j] != BidiClass::ON {
            continue;
        }
        // Canonicalize the code point for bracket matching.
        let raw_cp = cps[indices[j]];
        let cp = canonical_bracket_cp(raw_cp);

        if bracket_pair(cp).is_some() {
            // Opening bracket.
            if open_stack.len() >= 63 {
                // BD16: "otherwise, stop processing." Abort bracket pairing.
                break;
            }
            open_stack.push((j, cp));
        } else if is_closing_bracket(cp) {
            if let Some(open_cp) = opening_bracket_for(cp) {
                let mut found = None;
                for k in (0..open_stack.len()).rev() {
                    if open_stack[k].1 == open_cp {
                        found = Some(k);
                        break;
                    }
                }
                if let Some(k) = found {
                    let open_idx = open_stack[k].0;
                    pairs.push((open_idx, j));
                    open_stack.truncate(k);
                }
            }
        }
    }

    // Sort pairs by opening index.
    pairs.sort_by_key(|&(o, _)| o);

    let opposite = if embed_dir == BidiClass::L {
        BidiClass::R
    } else {
        BidiClass::L
    };

    for &(open_idx, close_idx) in &pairs {
        // Classify strong types enclosed within the bracket pair.
        let mut found_same = false;
        let mut found_opposite = false;

        for k in (open_idx + 1)..close_idx {
            match strong_type_for_n0(sc[k]) {
                Some(d) if d == embed_dir => found_same = true,
                Some(_) => found_opposite = true,
                None => {}
            }
        }

        let bracket_dir = if found_same {
            // N0b: strong type matching embedding direction found -> embed_dir.
            embed_dir
        } else if found_opposite {
            // N0c: only opposite found -> check context before opening bracket.
            let mut context_dir = sos;
            for k in (0..open_idx).rev() {
                if let Some(d) = strong_type_for_n0(sc[k]) {
                    context_dir = d;
                    break;
                }
            }
            if context_dir == opposite {
                opposite
            } else {
                embed_dir
            }
        } else {
            // N0d: no strong types inside -> leave brackets unchanged.
            continue;
        };

        sc[open_idx] = bracket_dir;
        sc[close_idx] = bracket_dir;

        // Any characters that were originally NSM (before W1) immediately
        // following the opening or closing bracket take the bracket's type.
        let mut k = open_idx + 1;
        while k < n && pre_w_nsm[k] {
            sc[k] = bracket_dir;
            k += 1;
        }
        k = close_idx + 1;
        while k < n && pre_w_nsm[k] {
            sc[k] = bracket_dir;
            k += 1;
        }
    }
}

/// For BD16 bracket pairing, canonicalize code points that have a single-
/// character canonical decomposition to a bracket.  This handles the
/// U+2329/U+232A -> U+3008/U+3009 equivalence required by the spec.
fn canonical_bracket_cp(cp: u32) -> u32 {
    use crate::data::normalization::canonical_decomposition;
    if let Some(decomp) = canonical_decomposition(cp) {
        if decomp.len() == 1 {
            let d = decomp[0];
            // Only use the decomposed form if it's itself a bracket.
            if bracket_pair(d).is_some() || is_closing_bracket(d) {
                return d;
            }
        }
    }
    cp
}

fn strong_type_for_n0(bc: BidiClass) -> Option<BidiClass> {
    match bc {
        BidiClass::L => Some(BidiClass::L),
        BidiClass::R | BidiClass::AL | BidiClass::AN | BidiClass::EN => Some(BidiClass::R),
        _ => None,
    }
}

// ---------------------------------------------------------------------------
// N1-N2: neutral type resolution
// ---------------------------------------------------------------------------

fn resolve_neutral_types(
    sc: &mut [BidiClass],
    sos: BidiClass,
    eos: BidiClass,
    embed_dir: BidiClass,
) {
    let n = sc.len();
    if n == 0 {
        return;
    }

    fn is_ni(bc: BidiClass) -> bool {
        matches!(
            bc,
            BidiClass::B
                | BidiClass::S
                | BidiClass::WS
                | BidiClass::ON
                | BidiClass::FSI
                | BidiClass::LRI
                | BidiClass::RLI
                | BidiClass::PDI
        )
    }

    fn to_strong(bc: BidiClass) -> BidiClass {
        match bc {
            BidiClass::L => BidiClass::L,
            BidiClass::R | BidiClass::AN | BidiClass::EN => BidiClass::R,
            _ => bc,
        }
    }

    let mut i = 0;
    while i < n {
        if is_ni(sc[i]) {
            let start = i;
            while i < n && is_ni(sc[i]) {
                i += 1;
            }

            // N1: type before and after the run.
            let before = if start > 0 {
                to_strong(sc[start - 1])
            } else {
                to_strong(sos)
            };
            let after = if i < n {
                to_strong(sc[i])
            } else {
                to_strong(eos)
            };

            let resolved = if before == after
                && (before == BidiClass::L || before == BidiClass::R)
            {
                before // N1
            } else {
                embed_dir // N2
            };

            for j in start..i {
                sc[j] = resolved;
            }
        } else {
            i += 1;
        }
    }
}

// ---------------------------------------------------------------------------
// I1-I2: implicit level resolution
// ---------------------------------------------------------------------------

fn resolve_implicit_levels(sc: &[BidiClass], indices: &[usize], levels: &mut [u8]) {
    for (j, &i) in indices.iter().enumerate() {
        let level = levels[i];
        if level == u8::MAX {
            continue;
        }
        if level % 2 == 0 {
            // I1: even level
            match sc[j] {
                BidiClass::R => levels[i] = level + 1,
                BidiClass::AN | BidiClass::EN => levels[i] = level + 2,
                _ => {}
            }
        } else {
            // I2: odd level
            match sc[j] {
                BidiClass::L | BidiClass::EN | BidiClass::AN => levels[i] = level + 1,
                _ => {}
            }
        }
    }
}

// ---------------------------------------------------------------------------
// L1: reset levels
// ---------------------------------------------------------------------------

fn apply_l1(original_classes: &[BidiClass], levels: &mut [u8], para_level: u8) {
    let n = original_classes.len();
    let mut reset = true; // start from end of line
    for i in (0..n).rev() {
        match original_classes[i] {
            BidiClass::B | BidiClass::S => {
                levels[i] = para_level;
                reset = true;
            }
            BidiClass::WS
            | BidiClass::FSI
            | BidiClass::LRI
            | BidiClass::RLI
            | BidiClass::PDI => {
                if reset {
                    levels[i] = para_level;
                }
            }
            BidiClass::BN
            | BidiClass::RLE
            | BidiClass::LRE
            | BidiClass::RLO
            | BidiClass::LRO
            | BidiClass::PDF => {
                if reset {
                    levels[i] = para_level;
                }
            }
            _ => {
                reset = false;
            }
        }
    }
}

// ---------------------------------------------------------------------------
// L2: reorder
// ---------------------------------------------------------------------------

fn compute_reorder(levels: &[u8]) -> Vec<usize> {
    let n = levels.len();
    if n == 0 {
        return vec![];
    }

    // Collect non-removed characters.
    let mut items: Vec<(usize, u8)> = Vec::new();
    for i in 0..n {
        if levels[i] != u8::MAX {
            items.push((i, levels[i]));
        }
    }
    if items.is_empty() {
        return vec![];
    }

    let max_level = items.iter().map(|&(_, l)| l).max().unwrap_or(0);
    let min_odd = {
        let m = items.iter().map(|&(_, l)| l).min().unwrap_or(0);
        if m % 2 == 1 {
            m
        } else {
            m + 1
        }
    };

    let mut order: Vec<usize> = items.iter().map(|&(i, _)| i).collect();
    let item_levels: Vec<u8> = items.iter().map(|&(_, l)| l).collect();

    for level in (min_odd..=max_level).rev() {
        let mut i = 0;
        while i < order.len() {
            if item_levels[i] >= level {
                let start = i;
                while i < order.len() && item_levels[i] >= level {
                    i += 1;
                }
                order[start..i].reverse();
            } else {
                i += 1;
            }
        }
    }

    order
}

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

    #[test]
    fn test_simple_ltr() {
        let info = resolve("hello", None);
        assert_eq!(info.paragraph_level, 0);
        assert_eq!(info.levels, vec![0, 0, 0, 0, 0]);
        assert_eq!(info.reorder, vec![0, 1, 2, 3, 4]);
    }

    #[test]
    fn test_simple_rtl() {
        let info = resolve("\u{05D0}\u{05D1}\u{05D2}", None);
        assert_eq!(info.paragraph_level, 1);
        assert_eq!(info.levels, vec![1, 1, 1]);
        assert_eq!(info.reorder, vec![2, 1, 0]);
    }

    #[test]
    fn test_mixed_ltr_rtl() {
        // "abc" followed by 3 Hebrew chars
        let info = resolve("abc\u{05D0}\u{05D1}\u{05D2}", None);
        assert_eq!(info.paragraph_level, 0);
        assert_eq!(info.levels, vec![0, 0, 0, 1, 1, 1]);
        assert_eq!(info.reorder, vec![0, 1, 2, 5, 4, 3]);
    }

    #[test]
    fn test_empty() {
        let info = resolve("", None);
        assert_eq!(info.paragraph_level, 0);
        assert!(info.levels.is_empty());
        assert!(info.reorder.is_empty());
    }
}