manifold-rust 0.13.0

Pure Rust port of the Manifold 3D geometry library
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
// Boolean result assembly — extracted from boolean_result.rs
// Contains update_reference, create_properties, and boolean_result entry point

use std::collections::BTreeMap;

use crate::boolean3::Boolean3;
use crate::cancel::{is_cancelled, CancelToken};
use crate::edge_op::simplify_topology;
use crate::face_op::{face2tri_ct, get_barycentric, reorder_halfedges};
use crate::impl_mesh::{reserve_ids, ManifoldImpl};
use crate::linalg::Vec3;
use crate::types::{OpType, TriRef};

use super::{EdgePos, abs_sum, exclusive_scan_abs,
            size_output, add_new_edge_verts, append_partial_edges,
            append_new_edges, append_whole_edges};

// ---------------------------------------------------------------------------
// UpdateReference -- map tri refs from input meshes to output
// ---------------------------------------------------------------------------

pub(super) fn update_reference(out_r: &mut ManifoldImpl, in_p: &ManifoldImpl, in_q: &ManifoldImpl, invert_q: bool) {
    let offset_q = reserve_ids(in_q.mesh_relation.mesh_id_transform.len() as u32) as i32;

    for tri_ref in out_r.mesh_relation.tri_ref.iter_mut() {
        let tri = tri_ref.face_id;
        let pq = tri_ref.mesh_id == 0;
        if pq {
            if (tri as usize) < in_p.mesh_relation.tri_ref.len() {
                *tri_ref = in_p.mesh_relation.tri_ref[tri as usize];
            }
        } else {
            if (tri as usize) < in_q.mesh_relation.tri_ref.len() {
                *tri_ref = in_q.mesh_relation.tri_ref[tri as usize];
                tri_ref.mesh_id += offset_q;
            }
        }
    }

    for (&k, v) in &in_p.mesh_relation.mesh_id_transform {
        out_r.mesh_relation.mesh_id_transform.insert(k, v.clone());
    }
    for (&k, v) in &in_q.mesh_relation.mesh_id_transform {
        let mut rel = v.clone();
        rel.back_side ^= invert_q;
        out_r.mesh_relation.mesh_id_transform.insert(k + offset_q, rel);
    }
}

// ---------------------------------------------------------------------------
// CreateProperties -- barycentric interpolation of properties
// ---------------------------------------------------------------------------

pub(super) fn create_properties(out_r: &mut ManifoldImpl, in_p: &ManifoldImpl, in_q: &ManifoldImpl, invert_q: bool) {
    let num_prop_p = in_p.num_prop;
    let num_prop_q = in_q.num_prop;
    let num_prop = num_prop_p.max(num_prop_q);
    out_r.num_prop = num_prop;
    if num_prop == 0 {
        return;
    }

    let num_tri = out_r.num_tri();

    // Compute barycentric coordinates for each output halfedge
    let mut bary = vec![Vec3::splat(0.0); out_r.halfedge.len()];
    for tri in 0..num_tri {
        let ref_pq = out_r.mesh_relation.tri_ref[tri];
        if out_r.halfedge[3 * tri].start_vert < 0 {
            continue;
        }

        let tri_pq = ref_pq.face_id as usize;
        let pq = ref_pq.mesh_id == 0;
        let vert_pos = if pq { &in_p.vert_pos } else { &in_q.vert_pos };
        let halfedge = if pq { &in_p.halfedge } else { &in_q.halfedge };

        if 3 * tri_pq + 2 >= halfedge.len() {
            continue;
        }

        let tri_pos = [
            vert_pos[halfedge[3 * tri_pq].start_vert as usize],
            vert_pos[halfedge[3 * tri_pq + 1].start_vert as usize],
            vert_pos[halfedge[3 * tri_pq + 2].start_vert as usize],
        ];

        for i in 0..3 {
            let vert = out_r.halfedge[3 * tri + i].start_vert;
            if vert >= 0 && (vert as usize) < out_r.vert_pos.len() {
                bary[3 * tri + i] = get_barycentric(out_r.vert_pos[vert as usize], tri_pos, out_r.epsilon);
            }
        }
    }

    // Build properties with deduplication (matches C++ CreateProperties)
    out_r.properties.clear();
    out_r.properties.reserve(out_r.num_vert() * num_prop);
    let mut idx = 0i32;

    // Property vertex deduplication structures
    let id_miss_prop = out_r.num_vert() as i32;
    // propIdx: indexed by output vertex; bins hold ([pq, key_z, key_w], prop_idx)
    let mut prop_idx: Vec<Vec<([i32; 3], i32)>> = vec![Vec::new(); out_r.num_vert() + 1];
    // propMissIdx: [0] for mesh Q, [1] for mesh P -- indexed by source propVert
    let mut prop_miss_idx: [Vec<i32>; 2] = [
        vec![-1i32; in_q.num_prop_vert()],
        vec![-1i32; in_p.num_prop_vert()],
    ];

    #[inline]
    fn next3(i: usize) -> usize { (i + 1) % 3 }
    #[inline]
    fn prev3(i: usize) -> usize { (i + 2) % 3 }

    for tri in 0..num_tri {
        if out_r.halfedge[3 * tri].start_vert < 0 {
            continue;
        }
        let ref_pq = out_r.mesh_relation.tri_ref[tri];
        let pq = ref_pq.mesh_id == 0;
        let pq_flag: i32 = if pq { 0 } else { 1 };
        let old_num_prop = if pq { num_prop_p } else { num_prop_q };
        let properties = if pq { &in_p.properties } else { &in_q.properties };
        let halfedge = if pq { &in_p.halfedge } else { &in_q.halfedge };

        // Per #1718: for Subtract, Q's triangles are flipped in the result, so
        // Q's world-frame vertex normals (slot 0..2 when hasNormals) need a
        // sign flip to point outward from the result's solid (into the cavity).
        // Check is per-source-triangle — in_q may itself be a mixed Boolean
        // result with only some meshIDs carrying normals.
        let negate_normals = !pq
            && invert_q
            && old_num_prop >= 3
            && in_q.tri_has_normals(ref_pq.face_id as usize);

        for i in 0..3 {
            let vert = out_r.halfedge[3 * tri + i].start_vert;
            let uvw = bary[3 * tri + i];

            // Build dedup key: [pq_flag, vert_key, key_z, key_w]
            let mut key = [pq_flag, id_miss_prop, -1i32, -1i32];
            if old_num_prop > 0 && 3 * ref_pq.face_id as usize + 2 < halfedge.len() {
                let mut edge: i32 = -2;
                for j in 0..3usize {
                    if uvw[j] == 1.0 {
                        // On a retained vertex
                        key[2] = halfedge[3 * ref_pq.face_id as usize + j].prop_vert;
                        edge = -1;
                        break;
                    }
                    if uvw[j] == 0.0 {
                        edge = j as i32;
                    }
                }
                if edge >= 0 {
                    // On an edge: both prop verts must match
                    let p0 = halfedge[3 * ref_pq.face_id as usize + next3(edge as usize)].prop_vert;
                    let p1 = halfedge[3 * ref_pq.face_id as usize + prev3(edge as usize)].prop_vert;
                    key[1] = vert;
                    key[2] = p0.min(p1);
                    key[3] = p0.max(p1);
                } else if edge == -2 {
                    // Interior point
                    key[1] = vert;
                }
            }

            // Attempt dedup lookup
            let mut found = false;
            if key[1] == id_miss_prop && key[2] >= 0 {
                // Vertex case: use propMissIdx
                let pq_idx = key[0] as usize;
                let prop_key = key[2] as usize;
                if pq_idx < 2 && prop_key < prop_miss_idx[pq_idx].len() {
                    let entry = prop_miss_idx[pq_idx][prop_key];
                    if entry >= 0 {
                        out_r.halfedge[3 * tri + i].prop_vert = entry;
                        found = true;
                    } else {
                        prop_miss_idx[pq_idx][prop_key] = idx;
                    }
                }
            } else {
                // Edge/interior case: use propIdx
                let bin_idx = key[1] as usize;
                if bin_idx < prop_idx.len() {
                    let search_key = [key[0], key[2], key[3]];
                    if let Some(entry) = prop_idx[bin_idx].iter().find(|(k, _)| *k == search_key) {
                        out_r.halfedge[3 * tri + i].prop_vert = entry.1;
                        found = true;
                    } else {
                        prop_idx[bin_idx].push((search_key, idx));
                    }
                }
            }

            if found {
                continue;
            }

            // No dedup match -- assign new property vertex and interpolate
            out_r.halfedge[3 * tri + i].prop_vert = idx;
            idx += 1;

            for p in 0..num_prop {
                if p < old_num_prop && 3 * ref_pq.face_id as usize + 2 < halfedge.len() {
                    let mut old_props = [0.0f64; 3];
                    for j in 0..3 {
                        let prop_vert = halfedge[3 * ref_pq.face_id as usize + j].prop_vert;
                        if prop_vert >= 0 {
                            let prop_idx_val = old_num_prop * prop_vert as usize + p;
                            if prop_idx_val < properties.len() {
                                old_props[j] = properties[prop_idx_val];
                            }
                        }
                    }
                    let mut val = uvw.x * old_props[0] + uvw.y * old_props[1] + uvw.z * old_props[2];
                    if negate_normals && p < 3 {
                        val = -val;
                    }
                    out_r.properties.push(val);
                } else {
                    out_r.properties.push(0.0);
                }
            }
        }
    }
}

// ---------------------------------------------------------------------------
// boolean_result -- the main entry point
// ---------------------------------------------------------------------------

/// Assemble the output mesh from Boolean3 intersection data.
///
/// This is the Rust port of `Boolean3::Result()` from `boolean_result.cpp`.
pub fn boolean_result(
    in_p: &ManifoldImpl,
    in_q: &ManifoldImpl,
    op: OpType,
    bool3: &Boolean3,
) -> ManifoldImpl {
    boolean_result_with_token(in_p, in_q, op, bool3, None)
}

/// [`boolean_result`] with cooperative cancellation, returning an empty mesh
/// with `Error::Cancelled` if `token` fires.
///
/// Check placement mirrors the `phase()` sites of C++ `Boolean3::Result`
/// (boolean_result.cpp:758-963): one at every boundary between the assembly
/// stages, each of which does `MakeEmpty(Cancelled); return`. Partial output is
/// intentionally discarded rather than published.
pub fn boolean_result_with_token(
    in_p: &ManifoldImpl,
    in_q: &ManifoldImpl,
    op: OpType,
    bool3: &Boolean3,
    token: Option<&CancelToken>,
) -> ManifoldImpl {
    debug_assert!(
        bool3.expand_p == (op == OpType::Add),
        "Result op type not compatible with constructor op type."
    );

    let c1 = if op == OpType::Intersect { 0 } else { 1 };
    let c2 = if op == OpType::Add { 1 } else { 0 };
    let c3 = if op == OpType::Intersect { 1 } else { -1 };

    // Early returns for empty inputs (matches C++ boolean_result.cpp lines 680-690)
    if in_p.is_empty() {
        if !in_q.is_empty() && op == OpType::Add {
            return in_q.clone();
        }
        return ManifoldImpl::new();
    } else if in_q.is_empty() {
        if op == OpType::Intersect {
            return ManifoldImpl::new();
        }
        return in_p.clone();
    }

    // Check for valid (overflow) result
    if !bool3.valid {
        return ManifoldImpl::new();
    }

    let invert_q = op == OpType::Subtract;

    // Phase 1 (C++ boolean_result.cpp:776): the trivial early returns above run
    // first, exactly as in C++, where the IsEmpty fast-paths precede the first
    // phase() site.
    if is_cancelled(token) {
        return crate::boolean3::cancelled_impl();
    }

    // Timing boundaries mirror the C++ MANIFOLD_TIMING stages (Assembly /
    // Triangulation / Simplification / Sorting) for side-by-side comparison.
    let t_assembly = crate::timing::start();

    // Convert winding numbers to inclusion values
    let i12: Vec<i32> = bool3.xv12.x12.iter().map(|&v| c3 * v).collect();
    let i21: Vec<i32> = bool3.xv21.x12.iter().map(|&v| c3 * v).collect();
    let i03: Vec<i32> = bool3.w03.iter().map(|&v| c1 + c3 * v).collect();
    let i30: Vec<i32> = bool3.w30.iter().map(|&v| c2 + c3 * v).collect();

    // Vertex remapping via exclusive scan with abs_sum
    let vp2r = exclusive_scan_abs(&i03, 0);
    let num_vert_r = if let Some(&last) = i03.last() {
        abs_sum(*vp2r.last().unwrap_or(&0), last)
    } else {
        0
    };
    let n_pv = num_vert_r;

    let vq2r = exclusive_scan_abs(&i30, num_vert_r);
    let num_vert_r = if let Some(&last) = i30.last() {
        abs_sum(*vq2r.last().unwrap_or(&num_vert_r), last)
    } else {
        num_vert_r
    };
    let n_qv = num_vert_r - n_pv;

    let v12r = if !bool3.xv12.v12.is_empty() {
        exclusive_scan_abs(&i12, num_vert_r)
    } else {
        Vec::new()
    };
    let num_vert_r = if !i12.is_empty() {
        abs_sum(*v12r.last().unwrap_or(&num_vert_r), *i12.last().unwrap())
    } else {
        num_vert_r
    };
    let n12 = num_vert_r - n_pv - n_qv;

    let v21r = if !bool3.xv21.v12.is_empty() {
        exclusive_scan_abs(&i21, num_vert_r)
    } else {
        Vec::new()
    };
    let num_vert_r = if !i21.is_empty() {
        abs_sum(*v21r.last().unwrap_or(&num_vert_r), *i21.last().unwrap())
    } else {
        num_vert_r
    };
    let _n21 = num_vert_r - n_pv - n_qv - n12;

    // Create the output Manifold
    let mut out_r = ManifoldImpl::new();
    if num_vert_r == 0 {
        return out_r;
    }

    out_r.epsilon = in_p.epsilon.max(in_q.epsilon);
    out_r.tolerance = in_p.tolerance.max(in_q.tolerance);

    // Allocate and populate output vertices
    out_r.vert_pos.resize(num_vert_r as usize, Vec3::splat(0.0));

    // DuplicateVerts: retained vertices from P
    for vert in 0..in_p.num_vert() {
        let n = i03[vert].abs();
        for i in 0..n {
            out_r.vert_pos[(vp2r[vert] + i) as usize] = in_p.vert_pos[vert];
        }
    }
    // Retained vertices from Q
    for vert in 0..in_q.num_vert() {
        let n = i30[vert].abs();
        for i in 0..n {
            out_r.vert_pos[(vq2r[vert] + i) as usize] = in_q.vert_pos[vert];
        }
    }
    // New vertices from P edges -> Q faces
    for vert in 0..i12.len() {
        let n = i12[vert].abs();
        for i in 0..n {
            out_r.vert_pos[(v12r[vert] + i) as usize] = bool3.xv12.v12[vert];
        }
    }
    // New vertices from Q edges -> P faces
    for vert in 0..i21.len() {
        let n = i21[vert].abs();
        for i in 0..n {
            out_r.vert_pos[(v21r[vert] + i) as usize] = bool3.xv21.v12[vert];
        }
    }

    // Phase 2 (C++ boolean_result.cpp:847): after DuplicateVerts.
    if is_cancelled(token) {
        return crate::boolean3::cancelled_impl();
    }

    // Build edge maps
    let mut edges_p: BTreeMap<i32, Vec<EdgePos>> = BTreeMap::new();
    let mut edges_q: BTreeMap<i32, Vec<EdgePos>> = BTreeMap::new();
    let mut edges_new: BTreeMap<(i32, i32), Vec<EdgePos>> = BTreeMap::new();

    add_new_edge_verts(
        &mut edges_p,
        &mut edges_new,
        &bool3.xv12.p1q2,
        &i12,
        &v12r,
        &in_p.halfedge,
        true,
        0,
    );
    add_new_edge_verts(
        &mut edges_q,
        &mut edges_new,
        &bool3.xv21.p1q2,
        &i21,
        &v21r,
        &in_q.halfedge,
        false,
        bool3.xv12.p1q2.len(),
    );

    // C++ clears v12R/v21R here (after AddNewEdgeVerts); drop the counterparts
    // so the large scans don't ride through the rest of the pipeline.
    drop(v12r);
    drop(v21r);

    // Phase 3 (C++ boolean_result.cpp:869): after AddNewEdgeVerts.
    if is_cancelled(token) {
        return crate::boolean3::cancelled_impl();
    }

    // Size output
    let (face_edge, face_pq2r) = size_output(
        &mut out_r,
        in_p,
        in_q,
        &i03,
        &i30,
        &i12,
        &i21,
        &bool3.xv12.p1q2,
        &bool3.xv21.p1q2,
        invert_q,
    );

    // C++ clears i12/i21 after SizeOutput.
    drop(i12);
    drop(i21);

    // Phase 4 (C++ boolean_result.cpp:880): after SizeOutput.
    if is_cancelled(token) {
        return crate::boolean3::cancelled_impl();
    }

    // Assemble edges
    let mut face_ptr_r = face_edge.clone();
    let mut whole_halfedge_p = vec![true; in_p.halfedge.len()];
    let mut whole_halfedge_q = vec![true; in_q.halfedge.len()];
    let mut halfedge_ref = vec![
        TriRef {
            mesh_id: 0,
            original_id: -1,
            face_id: -1,
            coplanar_id: -1,
        };
        2 * out_r.num_edge()
    ];

    append_partial_edges(
        &mut out_r,
        &mut whole_halfedge_p,
        &mut face_ptr_r,
        &mut edges_p,
        &mut halfedge_ref,
        in_p,
        &i03,
        &vp2r,
        &face_pq2r[..in_p.num_tri()],
        true,
    );
    append_partial_edges(
        &mut out_r,
        &mut whole_halfedge_q,
        &mut face_ptr_r,
        &mut edges_q,
        &mut halfedge_ref,
        in_q,
        &i30,
        &vq2r,
        &face_pq2r[in_p.num_tri()..],
        false,
    );
    // C++ clears edgesP/edgesQ after AppendPartialEdges.
    drop(edges_p);
    drop(edges_q);

    // Phase 5 (C++ boolean_result.cpp:905): after AppendPartialEdges.
    if is_cancelled(token) {
        return crate::boolean3::cancelled_impl();
    }

    append_new_edges(
        &mut out_r,
        &mut face_ptr_r,
        &mut edges_new,
        &mut halfedge_ref,
        &face_pq2r,
        in_p.num_tri(),
    );
    // C++ clears edgesNew after AppendNewEdges.
    drop(edges_new);

    // Phase 6 (C++ boolean_result.cpp:912): after AppendNewEdges.
    if is_cancelled(token) {
        return crate::boolean3::cancelled_impl();
    }

    append_whole_edges(
        &mut out_r,
        &mut face_ptr_r,
        &mut halfedge_ref,
        in_p,
        &whole_halfedge_p,
        &i03,
        &vp2r,
        &face_pq2r[..in_p.num_tri()],
        true,
    );
    append_whole_edges(
        &mut out_r,
        &mut face_ptr_r,
        &mut halfedge_ref,
        in_q,
        &whole_halfedge_q,
        &i30,
        &vq2r,
        &face_pq2r[in_p.num_tri()..],
        false,
    );

    // C++ clears wholeHalfedgeP/Q, vP2R/vQ2R and friends after
    // AppendWholeEdges; nothing below needs these.
    drop(whole_halfedge_p);
    drop(whole_halfedge_q);
    drop(face_ptr_r);
    drop(face_pq2r);
    drop(vp2r);
    drop(vq2r);
    drop(i03);
    drop(i30);

    crate::timing::print("Assembly", t_assembly);

    // Phase 7 (C++ boolean_result.cpp:922): after AppendWholeEdges.
    if is_cancelled(token) {
        return crate::boolean3::cancelled_impl();
    }

    // Triangulate polygonal faces (allowConvex=false per C++ boolean_result.cpp)
    let t = crate::timing::start();
    if !face2tri_ct(&mut out_r, &face_edge, &halfedge_ref, false, token) {
        return crate::boolean3::cancelled_impl();
    }
    reorder_halfedges(&mut out_r);
    // C++ clears faceEdge after Face2Tri; halfedgeRef is likewise done.
    drop(face_edge);
    drop(halfedge_ref);
    crate::timing::print("Triangulation", t);

    // Phase 8 (C++ boolean_result.cpp:941): after Face2Tri + ReorderHalfedges.
    if is_cancelled(token) {
        return crate::boolean3::cancelled_impl();
    }

    let t = crate::timing::start();
    // Create properties via barycentric interpolation
    create_properties(&mut out_r, in_p, in_q, invert_q);

    // Phase 9 (C++ boolean_result.cpp:948): after CreateProperties.
    if is_cancelled(token) {
        return crate::boolean3::cancelled_impl();
    }

    // Update references
    update_reference(&mut out_r, in_p, in_q, invert_q);

    // Phase 10 (C++ boolean_result.cpp:951): after UpdateReference.
    if is_cancelled(token) {
        return crate::boolean3::cancelled_impl();
    }

    // Simplify topology
    simplify_topology(&mut out_r, (n_pv + n_qv) as i32);
    out_r.remove_unreferenced_verts();
    crate::timing::print("Simplification", t);

    // Finalize
    let t = crate::timing::start();
    out_r.calculate_bbox();
    out_r.sort_geometry();
    out_r.increment_mesh_ids();
    crate::timing::print("Sorting", t);

    // Phase 11 (C++ boolean_result.cpp:963): after SortGeometry. Without this
    // the whole trailing block above would be a hole in the contract — a cancel
    // landing in SimplifyTopology or SortGeometry would return a *complete*
    // mesh with status NoError, which is worse than a latency cost: the caller
    // would be told the operation it cancelled had succeeded. It matters most
    // on the shortest path through the kernel, a two-operand batch_boolean,
    // where `simple_boolean` runs once with no enclosing per-round re-check to
    // catch the cancel afterwards.
    //
    // C++ additionally threads ctx *into* SortGeometry; we only bracket it, so
    // the residual cost here is latency (one run of simplify + sort), not a
    // wrong status.
    if is_cancelled(token) {
        return crate::boolean3::cancelled_impl();
    }

    out_r
}