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brep_kernel/brep/classification/
solid_classifier.rs

1use super::*;
2
3fn face_normal(face: &FaceRecord, u: f64, v: f64) -> Result<Vec3, String> {
4    let normal = match face.surface.normal(u, v) {
5        Ok(normal) => normal,
6        Err(error) => {
7            // POLE RESCUE: at a collapsed parameterization pole (sphere pole,
8            // cone apex) du×dv vanishes and `normal()` errors — which used to
9            // propagate and kill the ENTIRE boolean (trial 9: a sphere placed
10            // TANGENT at its pole dies with "Vec3.normalized: zero-length
11            // vector" before any fragment is classified). The GEOMETRIC
12            // normal is well-defined and continuous there; recover it by
13            // stepping slightly inside the domain (at the pole every azimuth
14            // shares the same limit normal, so the offset direction does not
15            // matter). Escape hatch: BREP_POLE_NORMAL_RESCUE=0.
16            if !error.contains("zero-length")
17                || std::env::var("BREP_POLE_NORMAL_RESCUE").as_deref() == Ok("0")
18            {
19                return Err(error);
20            }
21            let [u0, u1] = face.surface.domain_u()?;
22            let [v0, v1] = face.surface.domain_v()?;
23            let step_u = (u1 - u0) * 1e-4;
24            let step_v = (v1 - v0) * 1e-4;
25            let inner_u = u.clamp(u0 + step_u, u1 - step_u);
26            let inner_v = v.clamp(v0 + step_v, v1 - step_v);
27            let mut recovered = None;
28            for (cu, cv) in [(u, inner_v), (inner_u, v), (inner_u, inner_v)] {
29                if let Ok(normal) = face.surface.normal(cu, cv) {
30                    recovered = Some(normal);
31                    break;
32                }
33            }
34            match recovered {
35                Some(normal) => normal,
36                None => return Err(error),
37            }
38        }
39    };
40    Ok(if face.same_sense {
41        normal
42    } else {
43        normal.scale(-1.0)
44    })
45}
46
47/// UV band equivalent to a spatial band of `spatial` at (u, v), derived
48/// from the local surface derivative magnitudes (`tolerance.rs`
49/// `surface_uv_tolerance`).  Capped to a fraction of the smaller domain
50/// span so a pole or collapsed direction cannot widen the band into the
51/// whole face.
52fn face_uv_tolerance(face: &FaceRecord, u: f64, v: f64, spatial: f64) -> f64 {
53    surface_uv_band(&face.surface, u, v, spatial)
54}
55
56/// [`face_uv_tolerance`] for a bare carrier.
57pub(crate) fn surface_uv_band(surface: &crate::NurbsSurface, u: f64, v: f64, spatial: f64) -> f64 {
58    let Ok(derivatives) = surface.derivatives(u, v, 1) else {
59        return spatial;
60    };
61    let band = crate::tolerance::surface_uv_tolerance(
62        spatial,
63        derivatives[1][0].length(),
64        derivatives[0][1].length(),
65    );
66    let cap = match (surface.domain_u(), surface.domain_v()) {
67        (Ok([u0, u1]), Ok([v0, v1])) => ((u1 - u0).min(v1 - v0) * 0.05).max(1e-12),
68        _ => f64::INFINITY,
69    };
70    band.min(cap)
71}
72
73#[derive(Clone, Copy, Debug, PartialEq, Serialize)]
74#[serde(rename_all = "lowercase")]
75pub enum PointClass {
76    In,
77    Out,
78    On,
79}
80
81#[derive(Clone, Copy, Debug, Serialize)]
82pub struct PointClassification {
83    pub class: PointClass,
84    #[serde(skip_serializing_if = "Option::is_none")]
85    pub on_normal: Option<Vec3>,
86}
87
88/// Per-thread counters for the classifier, printed by
89/// [`classify_profile_report`] when `BREP_PROFILE` is set: how many point
90/// queries ran, how many face projections and trim tests the On band cost,
91/// how many rays were cast and how many face intersections and trim tests
92/// they cost, and the wall time of each part. When the switch is off every
93/// counter is one thread-local flag test.
94#[derive(Default, Clone, Copy)]
95pub(crate) struct ClassifyProfile {
96    pub enabled: bool,
97    pub classify_calls: u64,
98    pub band_candidates: u64,
99    pub band_project_ms: f64,
100    pub band_trim_tests: u64,
101    pub band_trim_ms: f64,
102    pub rays: u64,
103    pub ray_faces: u64,
104    pub ray_csi_ms: f64,
105    /// Ray-face intersections the exact lane seeded (`exact_ray_enabled`) and
106    /// the ones it declined to the sampled search.
107    pub ray_exact_faces: u64,
108    pub ray_fallback_faces: u64,
109    pub ray_trim_tests: u64,
110    pub ray_trim_ms: f64,
111    pub coincident_calls: u64,
112    pub coincident_ms: f64,
113    pub classifier_builds: u64,
114    pub classifier_build_ms: f64,
115}
116
117thread_local! {
118    static CLASSIFY_PROFILE: std::cell::Cell<ClassifyProfile> =
119        const { std::cell::Cell::new(ClassifyProfile {
120            enabled: false, classify_calls: 0, band_candidates: 0, band_project_ms: 0.0,
121            band_trim_tests: 0, band_trim_ms: 0.0, rays: 0, ray_faces: 0, ray_csi_ms: 0.0,
122            ray_exact_faces: 0, ray_fallback_faces: 0, ray_trim_tests: 0, ray_trim_ms: 0.0, coincident_calls: 0, coincident_ms: 0.0,
123            classifier_builds: 0, classifier_build_ms: 0.0,
124        }) };
125}
126
127fn classify_profile(update: impl FnOnce(&mut ClassifyProfile)) {
128    CLASSIFY_PROFILE.with(|cell| {
129        let mut profile = cell.get();
130        if profile.enabled {
131            update(&mut profile);
132            cell.set(profile);
133        }
134    });
135}
136
137fn classify_profile_started() -> Option<web_time::Instant> {
138    CLASSIFY_PROFILE
139        .with(|cell| cell.get().enabled)
140        .then(web_time::Instant::now)
141}
142
143fn classify_elapsed_ms(started: Option<web_time::Instant>) -> f64 {
144    started.map_or(0.0, |s| s.elapsed().as_secs_f64() * 1_000.0)
145}
146
147/// Arm the classifier counters (reset to zero) when `BREP_PROFILE` is set.
148pub(crate) fn classify_profile_begin() {
149    let enabled = std::env::var("BREP_PROFILE").is_ok();
150    CLASSIFY_PROFILE.with(|cell| {
151        cell.set(ClassifyProfile {
152            enabled,
153            ..ClassifyProfile::default()
154        })
155    });
156}
157
158/// Print the counters gathered since [`classify_profile_begin`] under
159/// `label` and disarm them. Silent when profiling is off.
160pub(crate) fn classify_profile_report(label: &str) {
161    let p = CLASSIFY_PROFILE.with(|cell| cell.get());
162    if !p.enabled {
163        return;
164    }
165    eprintln!(
166        "classify.profile {label} calls={} builds={} build_ms={:.2} band: candidates={} project_ms={:.2} trim_tests={} trim_ms={:.2} rays={} ray_faces={} csi_ms={:.2} exact_faces={} fallback_faces={} ray_trim_tests={} ray_trim_ms={:.2} coincident: calls={} ms={:.2}",
167        p.classify_calls, p.classifier_builds, p.classifier_build_ms, p.band_candidates,
168        p.band_project_ms, p.band_trim_tests, p.band_trim_ms, p.rays, p.ray_faces,
169        p.ray_csi_ms, p.ray_exact_faces, p.ray_fallback_faces, p.ray_trim_tests, p.ray_trim_ms, p.coincident_calls, p.coincident_ms,
170    );
171    CLASSIFY_PROFILE.with(|cell| cell.set(ClassifyProfile::default()));
172}
173
174/// The exact ray lane (lane B row 1, 2026-10-17): a ray against an ANALYTIC
175/// face is seeded with its closed-form roots (`crate::exact_line_surface`)
176/// instead of the sampled search's 32-sample scan, then solved and filtered
177/// by the same code. Default ON since its on/off census (production 96/96,
178/// bench 52/52 bodies and 1197/1197 lines) read identical;
179/// `BREP_CLASSIFY_EXACT_RAY=0` (or `off`) restores the sampled search.
180fn exact_ray_enabled() -> bool {
181    static ENABLED: std::sync::OnceLock<bool> = std::sync::OnceLock::new();
182    let enabled = *ENABLED.get_or_init(|| {
183        !matches!(std::env::var("BREP_CLASSIFY_EXACT_RAY").as_deref(), Ok("0") | Ok("off"))
184    });
185    enabled
186}
187
188
189/// One ray-face intersection of the ray pass: the exact lane's seeds when it
190/// is on and the face admits them, the sampled search otherwise. Counted on
191/// the profile as `exact_faces` / `fallback_faces` (never timed).
192fn ray_face_intersections(
193    sub_ray: &NurbsCurve,
194    surface: &crate::NurbsSurface,
195    tolerance: f64,
196) -> Result<Vec<crate::CurveSurfaceIntersection>, String> {
197    if exact_ray_enabled() {
198        if let Some(seeds) = crate::exact_line_surface::exact_line_surface_seeds(sub_ray, surface, tolerance) {
199            classify_profile(|p| p.ray_exact_faces += 1);
200            return crate::curve_surface_intersection::intersect_curve_surface_from_seeds(sub_ray, surface, tolerance, seeds);
201        }
202        classify_profile(|p| p.ray_fallback_faces += 1);
203    }
204    intersect_curve_surface(sub_ray, surface, tolerance)
205}
206
207/// Point-in-solid classification with per-solid precomputation: face
208/// bounds, the solid box, and a face BVH are built once so repeated
209/// queries (boolean fragment selection asks once per fragment) prune to
210/// the few faces a probe point or ray can actually touch.
211pub struct SolidClassifier<'a> {
212    faces: Vec<&'a FaceRecord>,
213    face_boxes: Vec<Aabb>,
214    bounds: Aabb,
215    bvh: Bvh,
216    tolerance: f64,
217}
218
219/// Clip the segment `start + s·direction, s ∈ [0, length]` to `bounds`
220/// (slab test).  Returns the clipped `[s_entry, s_exit]` span, or None when
221/// the segment misses the box.
222fn clip_segment_to_aabb(
223    start: Vec3,
224    direction: Vec3,
225    length: f64,
226    bounds: &Aabb,
227) -> Option<[f64; 2]> {
228    let mut s0 = 0.0f64;
229    let mut s1 = length;
230    for axis in 0..3 {
231        let (origin, delta, minimum, maximum) = match axis {
232            0 => (start.x, direction.x, bounds.minimum.x, bounds.maximum.x),
233            1 => (start.y, direction.y, bounds.minimum.y, bounds.maximum.y),
234            _ => (start.z, direction.z, bounds.minimum.z, bounds.maximum.z),
235        };
236        if delta.abs() <= 1e-15 {
237            if origin < minimum || origin > maximum {
238                return None;
239            }
240            continue;
241        }
242        let mut near = (minimum - origin) / delta;
243        let mut far = (maximum - origin) / delta;
244        if near > far {
245            std::mem::swap(&mut near, &mut far);
246        }
247        s0 = s0.max(near);
248        s1 = s1.min(far);
249        if s0 > s1 {
250            return None;
251        }
252    }
253    Some([s0, s1])
254}
255
256impl<'a> SolidClassifier<'a> {
257    pub fn new(solid: &'a BrepSolid, tolerance: f64) -> Result<Self, String> {
258        let build_started = classify_profile_started();
259        let faces: Vec<&FaceRecord> = solid.shells.iter().flat_map(|shell| &shell.faces).collect();
260        let face_boxes = faces
261            .iter()
262            .map(|face| Aabb::from_surface_controls(&face.surface))
263            .collect::<Result<Vec<_>, _>>()?;
264        let mut bounds = Aabb::empty();
265        for face_box in &face_boxes {
266            bounds.include(*face_box);
267        }
268        let bvh = Bvh::build(&face_boxes);
269        classify_profile(|p| {
270            p.classifier_builds += 1;
271            p.classifier_build_ms += classify_elapsed_ms(build_started);
272        });
273        Ok(Self {
274            faces,
275            face_boxes,
276            bounds,
277            bvh,
278            tolerance,
279        })
280    }
281
282    /// Cheap On-band probe: is the point within the classifier's On
283    /// tolerance of ANY face carrier (trim not checked — conservative)?
284    /// Used to guard adjacency propagation: fragments near the other
285    /// solid's surface need the full normal-based On decision, everything
286    /// else can inherit its fate from a neighbor.
287    pub fn near_surface(&self, point: Vec3) -> Result<bool, String> {
288        let on_tolerance = self.tolerance * 10.0;
289        if !self.bounds.expanded(on_tolerance).contains(point) {
290            return Ok(false);
291        }
292        let mut candidates = Vec::new();
293        self.bvh
294            .containing_point(point, on_tolerance, &mut candidates);
295        for &index in &candidates {
296            let projection = project_point_to_surface(&self.faces[index].surface, point)?;
297            if projection.distance <= on_tolerance {
298                return Ok(true);
299            }
300        }
301        Ok(false)
302    }
303
304    /// Conservative carrier-proximity probe: is `point` within `band` of ANY
305    /// face's carrier surface (trim NOT checked)?  A strict superset of the
306    /// `On` verdict (which additionally requires the point to fall in a face's
307    /// trim), so callers that want to skip every point that *might* be on or
308    /// near the boundary — the semantic oracle's On-skip — can rely on a `true`
309    /// here to mean "not safely In/Out".  `band` is taken explicitly so the
310    /// caller can widen it to a size-relative width and absorb near-coincidence
311    /// gaps (Golovanov §4.13 derived tolerances).
312    pub fn within_band(&self, point: Vec3, band: f64) -> Result<bool, String> {
313        if !self.bounds.expanded(band).contains(point) {
314            return Ok(false);
315        }
316        let mut candidates = Vec::new();
317        self.bvh.containing_point(point, band, &mut candidates);
318        for &index in &candidates {
319            let projection = project_point_to_surface(&self.faces[index].surface, point)?;
320            if projection.distance <= band {
321                return Ok(true);
322            }
323        }
324        Ok(false)
325    }
326
327    pub fn classify(&self, point: Vec3) -> Result<PointClassification, String> {
328        classify_profile(|p| p.classify_calls += 1);
329        let tolerance = self.tolerance;
330        if !self.bounds.expanded(tolerance).contains(point) {
331            return Ok(PointClassification {
332                class: PointClass::Out,
333                on_normal: None,
334            });
335        }
336        let on_tolerance = tolerance * 10.0;
337        let mut candidates = Vec::new();
338        self.bvh
339            .containing_point(point, on_tolerance, &mut candidates);
340        candidates.sort_unstable();
341        // All faces the point lies On, split by whether it sits in the trim
342        // interior or within the boundary band.  Where the point is on an
343        // edge or vertex shared by several faces, the classification normal
344        // is the normalized sum of their normals (Golovanov §4.11/§6.3) —
345        // a single face's normal is ambiguous there, and falling through to
346        // ray casting made the answer direction-dependent.
347        let mut interior_normals: Vec<Vec3> = Vec::new();
348        let mut boundary_normals: Vec<Vec3> = Vec::new();
349        for &index in &candidates {
350            let face = self.faces[index];
351            let project_started = classify_profile_started();
352            let projection = project_point_to_surface(&face.surface, point)?;
353            classify_profile(|p| {
354                p.band_candidates += 1;
355                p.band_project_ms += classify_elapsed_ms(project_started);
356            });
357            if projection.distance > on_tolerance {
358                continue;
359            }
360            let uv_tolerance = face_uv_tolerance(face, projection.u, projection.v, on_tolerance);
361            let trim_started = classify_profile_started();
362            let trim = parameter_point_in_face(
363                face,
364                Vec2 {
365                    x: projection.u,
366                    y: projection.v,
367                },
368                uv_tolerance,
369            )?;
370            classify_profile(|p| {
371                p.band_trim_tests += 1;
372                p.band_trim_ms += classify_elapsed_ms(trim_started);
373            });
374            match trim {
375                PolygonClass::Inside => {
376                    interior_normals.push(face_normal(face, projection.u, projection.v)?)
377                }
378                PolygonClass::Boundary => {
379                    boundary_normals.push(face_normal(face, projection.u, projection.v)?)
380                }
381                PolygonClass::Outside => {}
382            }
383        }
384        let pool = if interior_normals.is_empty() {
385            &boundary_normals
386        } else {
387            &interior_normals
388        };
389        if !pool.is_empty() {
390            let mut sum = Vec3::default();
391            for normal in pool {
392                sum = sum.add(*normal);
393            }
394            // A near-zero sum means opposed normals (knife edge, coincident
395            // back-to-back faces): genuinely ambiguous, let the ray casting
396            // below decide.
397            if sum.length() > 1e-3 {
398                return Ok(PointClassification {
399                    class: PointClass::On,
400                    on_normal: Some(sum.normalized()?),
401                });
402            }
403        }
404        let directions = [
405            Vec3::new(0.577215, 0.618034, 0.532088),
406            Vec3::new(-0.707107, 0.267949, 0.654321),
407            Vec3::new(0.316228, -0.741657, 0.585786),
408            Vec3::new(-0.414214, -0.552786, -0.723607),
409            Vec3::new(0.9482, 0.11893, -0.29456),
410            Vec3::new(-0.13947, 0.90271, -0.40718),
411            Vec3::new(0.62361, -0.33912, -0.70414),
412            Vec3::new(0.20912, 0.51293, 0.83261),
413        ];
414        let ray_length = self.bounds.diagonal() * 3.0 + 1.0;
415        // RAY-AGREEMENT VOTING: a single ray's parity flips when the root
416        // finder loses one of two close crossings through a thin feature
417        // (trial 533's 00000231-p4: a ray pierced a curved flange twice ~3 mm
418        // apart, intersect_curve_surface returned one root, and a point 2 mm
419        // clear of the material classified In). One lost root is a
420        // direction-specific accident, so require TWO clean directions to
421        // AGREE before trusting the parity; on disagreement keep sampling
422        // directions and return the first verdict confirmed twice. Escape
423        // hatch: BREP_CLASSIFY_RAY_AGREE=0 restores first-clean-ray.
424        let require_agreement = std::env::var("BREP_CLASSIFY_RAY_AGREE").as_deref() != Ok("0");
425        let mut verdicts: Vec<PointClass> = Vec::new();
426        'directions: for direction in directions {
427            classify_profile(|p| p.rays += 1);
428            let direction = direction.normalized()?;
429            let ray_end = point.add(direction.scale(ray_length));
430            candidates.clear();
431            self.bvh
432                .intersecting_segment(point, ray_end, on_tolerance, &mut candidates);
433            candidates.sort_unstable();
434            let mut crossings = 0;
435            for &index in &candidates {
436                let face = self.faces[index];
437                // Intersect the ray with this face over the SHORT span the
438                // ray actually spends near the face's bounding box, not the
439                // whole solid-diagonal-scale ray.  The root finder seeds one
440                // Newton start per curve sample segment, so a long ray gives
441                // a small face a single seed — a ray that crosses a small
442                // curved face twice within one sample segment (e.g. a probe
443                // from a tangency line through a blend tube) silently loses
444                // a crossing and flips the parity.  Clipping the ray to the
445                // face box makes the seed density match the face scale.
446                let margin = on_tolerance.max(self.face_boxes[index].diagonal() * 1e-3);
447                let Some([span_start, span_end]) = clip_segment_to_aabb(
448                    point,
449                    direction,
450                    ray_length,
451                    &self.face_boxes[index].expanded(margin),
452                ) else {
453                    continue;
454                };
455                let span_start = (span_start - margin).max(0.0);
456                let span_end = (span_end + margin).min(ray_length);
457                if span_end - span_start <= 1e-12 {
458                    continue;
459                }
460                let sub_ray = make_line(
461                    point.add(direction.scale(span_start)),
462                    point.add(direction.scale(span_end)),
463                )?;
464                let csi_started = classify_profile_started();
465                let intersections = ray_face_intersections(&sub_ray, &face.surface, tolerance)?;
466                classify_profile(|p| {
467                    p.ray_faces += 1;
468                    p.ray_csi_ms += classify_elapsed_ms(csi_started);
469                });
470                for intersection in intersections {
471                    if intersection.point.sub(point).length() <= tolerance * 10.0 {
472                        let trim_started = classify_profile_started();
473                        let trim = parameter_point_in_face(
474                            face,
475                            Vec2 {
476                                x: intersection.u,
477                                y: intersection.v,
478                            },
479                            face_uv_tolerance(face, intersection.u, intersection.v, on_tolerance),
480                        )?;
481                        classify_profile(|p| {
482                            p.ray_trim_tests += 1;
483                            p.ray_trim_ms += classify_elapsed_ms(trim_started);
484                        });
485                        if trim != PolygonClass::Outside {
486                            return Ok(PointClassification {
487                                class: PointClass::On,
488                                on_normal: Some(face_normal(face, intersection.u, intersection.v)?),
489                            });
490                        }
491                        continue;
492                    }
493                    if intersection.tangential {
494                        continue 'directions;
495                    }
496                    let trim_started = classify_profile_started();
497                    let trim_class = parameter_point_in_face(
498                        face,
499                        Vec2 {
500                            x: intersection.u,
501                            y: intersection.v,
502                        },
503                        face_uv_tolerance(face, intersection.u, intersection.v, on_tolerance),
504                    )?;
505                    classify_profile(|p| {
506                        p.ray_trim_tests += 1;
507                        p.ray_trim_ms += classify_elapsed_ms(trim_started);
508                    });
509                    if std::env::var("BREP_DEBUG_CLASSIFY").is_ok() {
510                        eprintln!(
511                            "classify ray dir=({:.3},{:.3},{:.3}) face={} hit=({:.4},{:.4},{:.4}) t3d={:.4} uv=({:.6},{:.6}) trim={:?}",
512                            direction.x, direction.y, direction.z,
513                            face.id,
514                            intersection.point.x, intersection.point.y, intersection.point.z,
515                            intersection.point.sub(point).length(),
516                            intersection.u, intersection.v,
517                            trim_class
518                        );
519                    }
520                    match trim_class {
521                        PolygonClass::Boundary => continue 'directions,
522                        PolygonClass::Inside => crossings += 1,
523                        PolygonClass::Outside => {}
524                    }
525                }
526            }
527            let verdict = if crossings % 2 == 1 {
528                PointClass::In
529            } else {
530                PointClass::Out
531            };
532            if std::env::var("BREP_DEBUG_CLASSIFY").is_ok() {
533                eprintln!(
534                    "classify verdict dir=({:.3},{:.3},{:.3}) crossings={crossings} -> {verdict:?}",
535                    direction.x, direction.y, direction.z
536                );
537            }
538            if !require_agreement || verdicts.contains(&verdict) {
539                return Ok(PointClassification {
540                    class: verdict,
541                    on_normal: None,
542                });
543            }
544            verdicts.push(verdict);
545        }
546        // Every direction bailed (tangential/boundary) or, under agreement
547        // voting, the clean directions never confirmed one another. A single
548        // unconfirmed verdict is still far better than an error.
549        if let Some(&verdict) = verdicts.last() {
550            return Ok(PointClassification {
551                class: verdict,
552                on_normal: None,
553            });
554        }
555        Err("classifyPointVsSolid: no clean ray direction found".into())
556    }
557
558    /// Wider-band On probe for near-coincident faces.  A model built from
559    /// noisy input carries faces that are geometrically coincident with the
560    /// other solid's boundary yet separated by a gap that scales with the
561    /// model (a few microns), not with the absolute model tolerance.  Such a
562    /// gap slips a face fragment's interior test point past the fixed On band
563    /// (`classify`), so it reads as a stray In/Out.  This probe re-checks
564    /// whether `point` sits in the trim INTERIOR of a coincident boundary
565    /// face within a band derived from the solid's size (Golovanov §4.13
566    /// derived tolerances), returning the mean outward normal of the
567    /// coincident faces when it does.  It only ever RESCUES an On verdict —
568    /// callers keep the tight-band In/Out otherwise — so the general
569    /// classification path is unchanged.  Interior-only (boundary hits are
570    /// ignored) so it fires only on a genuine surface overlap, never on mere
571    /// proximity to an edge.
572    pub fn coincident_on_normal(&self, point: Vec3) -> Result<Option<Vec3>, String> {
573        let started = classify_profile_started();
574        let result = self.coincident_on_normal_inner(point);
575        classify_profile(|p| {
576            p.coincident_calls += 1;
577            p.coincident_ms += classify_elapsed_ms(started);
578        });
579        result
580    }
581
582    fn coincident_on_normal_inner(&self, point: Vec3) -> Result<Option<Vec3>, String> {
583        let band = (self.tolerance * 10.0).max(self.bounds.diagonal() * 1e-7);
584        if !self.bounds.expanded(band).contains(point) {
585            return Ok(None);
586        }
587        let mut candidates = Vec::new();
588        self.bvh.containing_point(point, band, &mut candidates);
589        let mut interior_normals: Vec<Vec3> = Vec::new();
590        for &index in &candidates {
591            let face = self.faces[index];
592            let projection = project_point_to_surface(&face.surface, point)?;
593            if projection.distance > band {
594                continue;
595            }
596            let uv_tolerance = face_uv_tolerance(face, projection.u, projection.v, band);
597            if let PolygonClass::Inside = parameter_point_in_face(
598                face,
599                Vec2 {
600                    x: projection.u,
601                    y: projection.v,
602                },
603                uv_tolerance,
604            )? {
605                interior_normals.push(face_normal(face, projection.u, projection.v)?);
606            }
607        }
608        if interior_normals.is_empty() {
609            return Ok(None);
610        }
611        let mut sum = Vec3::default();
612        for normal in &interior_normals {
613            sum = sum.add(*normal);
614        }
615        if sum.length() <= 1e-3 {
616            return Ok(None);
617        }
618        Ok(Some(sum.normalized()?))
619    }
620}
621
622pub fn classify_point(
623    point: Vec3,
624    solid: &BrepSolid,
625    tolerance: f64,
626) -> Result<PointClassification, String> {
627    classify_profile_begin();
628    let result = SolidClassifier::new(solid, tolerance)?.classify(point);
629    classify_profile_report("classify_point");
630    result
631}