Skip to main content

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