3D sketch curves (wires): Include 3D Geometry keeps out-of-plane edges and curves 3D; Project To Surface (curves onto a face along the sketch normal), Intersection Curve (bodies/faces), Isoparametric Curve (u/v or a direction), Spun Profile (a body's outline about an axis) and Fit Curves to Mesh Section; all linked and re-resolved; wires drawn, inspected and deletable

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_01AS5Tn3xieewUSg3uxrMVdL
This commit is contained in:
bherbruckandClaude Opus 5.5 committed 2026-10-07 23:59:59 +00:00
1 parent beab69cfb2
commit cb01314d35
14 files changed
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+1
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@@ -11,6 +11,7 @@ mod eval;
pub mod expr;
mod params;
pub mod project;
mod project3d;
pub use assembly::{IDENTITY, Mat, Occurrence, apply_point, apply_vector, is_identity, mat_inverse, mat_mul, rigid};
pub use document::*;
+65 -3
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@@ -24,6 +24,8 @@ const MAX_CHAIN: usize = 4000;
#[derive(Clone, Debug)]
pub struct Resolved {
pub geom: Vec<LinkGeom>,
/// 3D curves (world coordinates).
pub wires: Vec<Vec<Vec3>>,
pub source: LinkSource,
/// The reference was not exactly where it was and was re-found on the nearest geometry.
pub moved: bool,
@@ -34,6 +36,12 @@ pub fn resolve(doc: &Document, vals: &BTreeMap<String, Value>, st: &ModelState,
let lost = |what: &str| DocError::Invalid(format!("{what} no longer exists"));
let mut moved = false;
let mut source = src.clone();
let mut wires: Vec<Vec<Vec3>> = Vec::new();
// Included curves that leave the sketch plane stay 3D.
let off_plane = |pts: &[Vec3]| {
let size = pts.iter().fold(1.0_f64, |m, p| m.max(p.len()));
pts.iter().any(|p| plane.height(*p).abs() > size * 1e-7)
};
let geom = match src {
LinkSource::Edge { body, at } => {
let (bi, mesh) = body_mesh(st, body, *at)?;
@@ -48,6 +56,10 @@ pub fn resolve(doc: &Document, vals: &BTreeMap<String, Value>, st: &ModelState,
let pts = mesh.edges.get(e).cloned().unwrap_or_default();
match kind {
LinkKind::Intersect => section_of_polyline(plane, &pts),
LinkKind::Include if off_plane(&pts) => {
wires.push(pts);
Vec::new()
}
_ => fit_world(plane, &pts),
}
}
@@ -112,9 +124,58 @@ pub fn resolve(doc: &Document, vals: &BTreeMap<String, Value>, st: &ModelState,
let pts: Vec<Vec3> = ss.sketch.segs(ci).iter().flat_map(|s| s.polyline(1e-3)).map(|p| ss.plane.to_world(p)).collect();
section_of_polyline(plane, &pts)
}
LinkKind::Include => {
let pts: Vec<Vec3> = ss.sketch.polyline(ci).iter().map(|p| ss.plane.to_world(*p)).collect();
if off_plane(&pts) {
wires.push(pts);
Vec::new()
} else {
project_sketch_curve(&ss.sketch, &ss.plane, ci, plane)
}
}
_ => project_sketch_curve(&ss.sketch, &ss.plane, ci, plane),
}
}
LinkSource::OnSurface { sketch, curve, body, at } => {
let ss = st.sketch(*sketch).ok_or_else(|| lost(&format!("sketch {sketch}")))?;
let ci = ss.sketch.curve_index(curve).ok_or_else(|| lost(&format!("sketch curve {curve}")))?;
let pts: Vec<Vec3> = ss.sketch.polyline(ci).iter().map(|p| ss.plane.to_world(*p)).collect();
let (bi, mesh) = body_mesh(st, body, *at)?;
let (f, q, d) = nearest_face(&mesh, *at).ok_or_else(|| lost("the face"))?;
let size = mesh.bounds().diagonal().max(1e-9);
if d > size * 0.25 {
return Err(lost("the face"));
}
let name = st.bodies.get(bi).map(|b| b.name.clone()).unwrap_or_else(|| body.clone());
source = LinkSource::OnSurface { sketch: *sketch, curve: curve.clone(), body: name, at: q };
wires = crate::project3d::onto_face(&mesh, f, &pts, plane.normal());
Vec::new()
}
LinkSource::Intersection { a, b } => {
let (ma, fa) = crate::project3d::mesh_of(st, a).ok_or_else(|| lost(&a.describe()))?;
let (mb, fb) = crate::project3d::mesh_of(st, b).ok_or_else(|| lost(&b.describe()))?;
wires = crate::project3d::mesh_intersection(&ma, fa, &mb, fb);
Vec::new()
}
LinkSource::Iso { body, at, dir } => {
let (bi, mesh) = body_mesh(st, body, *at)?;
let (f, q, d) = nearest_face(&mesh, *at).ok_or_else(|| lost("the face"))?;
let size = mesh.bounds().diagonal().max(1e-9);
if d > size * 0.25 {
return Err(lost("the face"));
}
let name = st.bodies.get(bi).map(|b| b.name.clone()).unwrap_or_else(|| body.clone());
source = LinkSource::Iso { body: name, at: q, dir: dir.clone() };
wires = crate::project3d::iso_curve(&mesh, f, q, dir);
Vec::new()
}
LinkSource::Spun { body, origin, dir } => {
let b = st.body(body).ok_or_else(|| lost(&format!("body {body}")))?;
let pts = crate::project3d::spun_outline(&b.mesh(), *origin, *dir, plane);
let mut g = Vec::new();
fit_chain(&pts, Some(b.mesh().bounds().diagonal().max(1e-9) * 2e-3), &mut g);
g
}
LinkSource::SketchPoint { sketch, point } => {
let ss = st.sketch(*sketch).ok_or_else(|| lost(&format!("sketch {sketch}")))?;
let pi = ss.sketch.resolve_point(point).ok_or_else(|| lost(&format!("sketch point {point}")))?;
@@ -144,10 +205,10 @@ pub fn resolve(doc: &Document, vals: &BTreeMap<String, Value>, st: &ModelState,
plane_trace(plane, &other).into_iter().collect()
}
};
if geom.is_empty() {
if geom.is_empty() && wires.is_empty() {
return Err(DocError::Invalid(format!("the {} projects to nothing on this sketch plane", src.describe())));
}
Ok(Resolved { geom: merge_split_circles(geom), source, moved })
Ok(Resolved { geom: merge_split_circles(geom), wires, source, moved })
}
/// Re-resolve every link of a sketch (in place). Returns warnings for lost, moved or rebuilt
@@ -159,6 +220,7 @@ pub fn refresh_links(doc: &Document, vals: &BTreeMap<String, Value>, st: &ModelS
match resolve(doc, vals, st, plane, l.kind, &l.source) {
Ok(r) => {
sk.set_link_source(&l.id, r.source);
let _ = sk.set_link_wires(&l.id, &r.wires);
match sk.update_link(&l.id, &r.geom) {
Ok(true) => warn.push(format!("projected {} changed shape and was rebuilt", l.source.describe())),
Ok(false) if r.moved => warn.push(format!("projected {} was re-found on the nearest geometry", l.source.describe())),
@@ -382,7 +444,7 @@ fn silhouette(plane: &Plane, m: &Mesh) -> Vec<LinkGeom> {
}
/// Section of a mesh (or one of its faces) with the sketch plane.
fn section(plane: &Plane, m: &Mesh, face: Option<u32>) -> Vec<LinkGeom> {
pub(crate) fn section(plane: &Plane, m: &Mesh, face: Option<u32>) -> Vec<LinkGeom> {
let size = m.bounds().diagonal().max(1e-9);
let q = size * 1e-7;
let key = |p: Vec3| ((p.x / q).round() as i64, (p.y / q).round() as i64, (p.z / q).round() as i64);
+409
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@@ -0,0 +1,409 @@
//! 3D sketch curves from the model: curves projected onto faces, intersection curves of bodies
//! and faces (on their display meshes), and spun profiles.
use std::collections::BTreeMap;
use std::sync::Arc;
use solvecraft_geom::{Mesh, Plane, Vec2, Vec3};
use solvecraft_sketch::LinkSource;
use crate::eval::ModelState;
/// Most triangle pairs examined by one intersection.
const MAX_PAIRS: usize = 20_000_000;
/// The mesh (and face, for a face source) of a body or face reference.
pub(crate) fn mesh_of(st: &ModelState, src: &LinkSource) -> Option<(Arc<Mesh>, Option<u32>)> {
match src {
LinkSource::Body { body } => Some((st.body(body)?.mesh(), None)),
LinkSource::Face { body, at } => {
let b = st.body(body).or_else(|| st.bodies.iter().min_by(|x, y| dist_to(&x.mesh(), *at).total_cmp(&dist_to(&y.mesh(), *at))))?;
let m = b.mesh();
let (f, _, _) = crate::project::nearest_face(&m, *at)?;
Some((m, Some(f)))
}
_ => None,
}
}
fn dist_to(m: &Mesh, p: Vec3) -> f64 {
crate::project::nearest_face(m, p).map(|x| x.2).unwrap_or(f64::INFINITY)
}
fn tris(m: &Mesh, face: Option<u32>) -> Vec<[Vec3; 3]> {
m.triangles.iter().zip(&m.tri_face).filter(|(_, f)| face.is_none_or(|x| x == **f)).filter_map(|(t, _)| m.tri(t)).collect()
}
/// Ray–triangle hit parameter (Möller–Trumbore), any sign.
fn ray_hit(o: Vec3, d: Vec3, t: &[Vec3; 3]) -> Option<f64> {
let (e1, e2) = (t[1] - t[0], t[2] - t[0]);
let p = d.cross(e2);
let det = e1.dot(p);
if det.abs() < 1e-14 {
return None;
}
let inv = 1.0 / det;
let s = o - t[0];
let u = s.dot(p) * inv;
if !(-1e-9..=1.0 + 1e-9).contains(&u) {
return None;
}
let q = s.cross(e1);
let v = d.dot(q) * inv;
if v < -1e-9 || u + v > 1.0 + 1e-9 {
return None;
}
Some(e2.dot(q) * inv)
}
/// Project a world polyline onto face `f` along `dir` (either way, nearest hit). Points that
/// miss the face split the result.
pub(crate) fn onto_face(m: &Mesh, f: u32, pts: &[Vec3], dir: Vec3) -> Vec<Vec<Vec3>> {
let Some(d) = dir.normalized() else { return Vec::new() };
let ts = tris(m, Some(f));
let size = m.bounds().diagonal().max(1e-9);
// Resample so the projected curve follows the surface.
let step = size / 200.0;
let mut dense: Vec<Vec3> = Vec::new();
for w in pts.windows(2) {
let (a, b) = (w[0], w[1]);
let n = ((a.dist(b) / step).ceil() as usize).clamp(1, 2000);
for i in 0..n {
dense.push(a.lerp(b, i as f64 / n as f64));
}
if dense.len() > 200_000 {
break;
}
}
if let Some(l) = pts.last() {
dense.push(*l);
}
let mut out: Vec<Vec<Vec3>> = Vec::new();
let mut cur: Vec<Vec3> = Vec::new();
for p in dense {
let hit = ts.iter().filter_map(|t| ray_hit(p, d, t)).min_by(|a, b| a.abs().total_cmp(&b.abs()));
match hit {
Some(t) => cur.push(p + d * t),
None => {
if cur.len() >= 2 {
out.push(std::mem::take(&mut cur));
} else {
cur.clear();
}
}
}
}
if cur.len() >= 2 {
out.push(cur);
}
out
}
/// Segment where two triangles cross (None when they do not, or are coplanar).
fn tri_tri(a: &[Vec3; 3], b: &[Vec3; 3]) -> Option<(Vec3, Vec3)> {
let nb = (b[1] - b[0]).cross(b[2] - b[0]).normalized()?;
let na = (a[1] - a[0]).cross(a[2] - a[0]).normalized()?;
// Points where one triangle's edges pass through the other's plane.
let cut = |t: &[Vec3; 3], n: Vec3, o: Vec3| -> Option<(Vec3, Vec3)> {
let h: Vec<f64> = t.iter().map(|p| (*p - o).dot(n)).collect();
if h.iter().all(|x| *x > 1e-12) || h.iter().all(|x| *x < -1e-12) {
return None;
}
let mut pts = Vec::new();
for (i, j) in [(0usize, 1usize), (1, 2), (2, 0)] {
let (hi, hj) = (h[i], h[j]);
if (hi > 0.0) != (hj > 0.0) {
pts.push(t[i].lerp(t[j], hi / (hi - hj)));
} else if hi == 0.0 {
pts.push(t[i]);
}
}
match pts[..] {
[p, q, ..] => Some((p, q)),
_ => None,
}
};
if na.cross(nb).len() < 1e-9 {
return None;
}
let (a0, a1) = cut(a, nb, b[0])?;
let (b0, b1) = cut(b, na, a[0])?;
// Overlap of the two segments on the common line.
let dir = na.cross(nb);
let pr = |p: Vec3| p.dot(dir);
let (sa0, sa1) = if pr(a0) <= pr(a1) { (a0, a1) } else { (a1, a0) };
let (sb0, sb1) = if pr(b0) <= pr(b1) { (b0, b1) } else { (b1, b0) };
let lo = if pr(sa0) >= pr(sb0) { sa0 } else { sb0 };
let hi = if pr(sa1) <= pr(sb1) { sa1 } else { sb1 };
(pr(hi) - pr(lo) > 1e-12).then_some((lo, hi))
}
/// Where two meshes (or faces of them) meet, as polylines.
pub(crate) fn mesh_intersection(ma: &Mesh, fa: Option<u32>, mb: &Mesh, fb: Option<u32>) -> Vec<Vec<Vec3>> {
let (ta, tb) = (tris(ma, fa), tris(mb, fb));
let bbox = |t: &[Vec3; 3]| (t[0].min(t[1]).min(t[2]), t[0].max(t[1]).max(t[2]));
// Uniform grid over B.
let lo = tb.iter().fold(Vec3::new(f64::INFINITY, f64::INFINITY, f64::INFINITY), |m, t| m.min(bbox(t).0));
let hi = tb.iter().fold(Vec3::new(f64::NEG_INFINITY, f64::NEG_INFINITY, f64::NEG_INFINITY), |m, t| m.max(bbox(t).1));
if !(lo.is_finite() && hi.is_finite()) {
return Vec::new();
}
let n = ((tb.len() as f64).cbrt().ceil() as usize).clamp(1, 48);
let ext = hi - lo;
let cell = |p: Vec3| -> [usize; 3] {
let f = |v: f64, l: f64, e: f64| if e > 1e-12 { (((v - l) / e) * n as f64).floor().clamp(0.0, (n - 1) as f64) as usize } else { 0 };
[f(p.x, lo.x, ext.x), f(p.y, lo.y, ext.y), f(p.z, lo.z, ext.z)]
};
let mut grid: BTreeMap<[usize; 3], Vec<usize>> = BTreeMap::new();
for (i, t) in tb.iter().enumerate() {
let (b0, b1) = bbox(t);
let (c0, c1) = (cell(b0), cell(b1));
for x in c0[0]..=c1[0] {
for y in c0[1]..=c1[1] {
for z in c0[2]..=c1[2] {
grid.entry([x, y, z]).or_default().push(i);
}
}
}
}
let mut segs: Vec<(Vec3, Vec3)> = Vec::new();
let mut pairs = 0usize;
for t in &ta {
let (b0, b1) = bbox(t);
if b1.x < lo.x || b1.y < lo.y || b1.z < lo.z || b0.x > hi.x || b0.y > hi.y || b0.z > hi.z {
continue;
}
let (c0, c1) = (cell(b0), cell(b1));
let mut cand: Vec<usize> = Vec::new();
for x in c0[0]..=c1[0] {
for y in c0[1]..=c1[1] {
for z in c0[2]..=c1[2] {
if let Some(v) = grid.get(&[x, y, z]) {
cand.extend(v);
}
}
}
}
cand.sort_unstable();
cand.dedup();
for j in cand {
pairs += 1;
if pairs > MAX_PAIRS {
break;
}
if let Some(u) = tb.get(j)
&& let Some(sg) = tri_tri(t, u)
{
segs.push(sg);
}
}
}
chain3(&segs, ma.bounds().diagonal().max(mb.bounds().diagonal()).max(1e-9))
}
/// Chain 3D segments into polylines by shared end points.
fn chain3(segs: &[(Vec3, Vec3)], size: f64) -> Vec<Vec<Vec3>> {
let q = size * 1e-7;
let key = |p: Vec3| ((p.x / q).round() as i64, (p.y / q).round() as i64, (p.z / q).round() as i64);
let mut adj: BTreeMap<(i64, i64, i64), (Vec3, Vec<usize>)> = BTreeMap::new();
let mut uniq: Vec<((i64, i64, i64), (i64, i64, i64))> = Vec::new();
let mut seen = std::collections::BTreeSet::new();
for (a, b) in segs {
let (ka, kb) = (key(*a), key(*b));
if ka == kb {
continue;
}
let k = if ka <= kb { (ka, kb) } else { (kb, ka) };
if !seen.insert(k) {
continue;
}
let i = uniq.len();
uniq.push(k);
adj.entry(ka).or_insert_with(|| (*a, Vec::new())).1.push(i);
adj.entry(kb).or_insert_with(|| (*b, Vec::new())).1.push(i);
}
let mut used = vec![false; uniq.len()];
let mut out = Vec::new();
let starts: Vec<(i64, i64, i64)> = adj.iter().filter(|(_, v)| v.1.len() != 2).map(|(k, _)| *k).chain(adj.keys().copied()).collect();
for s in starts {
while let Some(first) = adj.get(&s).and_then(|v| v.1.iter().copied().find(|e| !used.get(*e).copied().unwrap_or(true))) {
let mut chain = vec![adj.get(&s).map(|v| v.0).unwrap_or_default()];
let mut cur = s;
let mut e = first;
loop {
if let Some(u) = used.get_mut(e) {
*u = true;
}
let Some(&(ka, kb)) = uniq.get(e) else { break };
cur = if ka == cur { kb } else { ka };
chain.push(adj.get(&cur).map(|v| v.0).unwrap_or_default());
let Some(next) = adj
.get(&cur)
.and_then(|v| if v.1.len() == 2 { v.1.iter().copied().find(|x| !used.get(*x).copied().unwrap_or(true)) } else { None })
else {
break;
};
e = next;
}
if chain.len() >= 2 {
out.push(chain);
}
}
}
out
}
/// Outline of a body spun about the axis `origin + t·dir`: the largest distance from the axis
/// at each station along it, laid into the sketch plane on the side of the axis the plane's
/// in-plane perpendicular points to.
pub(crate) fn spun_outline(m: &Mesh, origin: Vec3, dir: Vec3, plane: &Plane) -> Vec<Vec2> {
let Some(d) = dir.normalized() else { return Vec::new() };
let Some(u) = plane.normal().cross(d).normalized() else { return Vec::new() };
let ax = |p: Vec3| (p - origin).dot(d);
let rad = |p: Vec3| {
let v = p - origin;
(v - d * v.dot(d)).len()
};
let (t0, t1) = m.positions.iter().fold((f64::INFINITY, f64::NEG_INFINITY), |(a, b), p| (a.min(ax(*p)), b.max(ax(*p))));
if !(t0.is_finite() && t1 > t0) {
return Vec::new();
}
let n = 240;
let mut out = Vec::new();
for i in 0..=n {
let t = t0 + (t1 - t0) * i as f64 / n as f64;
let mut r = f64::NEG_INFINITY;
for tri in &m.triangles {
let Some(p) = m.tri(tri) else { continue };
for (a, b) in [(p[0], p[1]), (p[1], p[2]), (p[2], p[0])] {
let (ha, hb) = (ax(a) - t, ax(b) - t);
if ha.abs() < 1e-12 {
r = r.max(rad(a));
}
if (ha > 0.0) != (hb > 0.0) && (ha - hb).abs() > 1e-15 {
r = r.max(rad(a.lerp(b, ha / (ha - hb))));
}
}
}
if r.is_finite() {
out.push(plane.to_local(origin + d * t + u * r));
}
}
out
}
/// An isoparametric curve of face `f` through `p`: the face cut by a plane through `p`. For
/// curved faces `u` runs around (the plane across the face's straight direction, e.g. a
/// cylinder's axis) and `v` along it; planar faces use the face plane's own axes. An explicit
/// direction `"x,y,z"` cuts along it.
pub(crate) fn iso_curve(m: &Mesh, f: u32, p: Vec3, dir: &str) -> Vec<Vec<Vec3>> {
let ns: Vec<Vec3> = m
.triangles
.iter()
.zip(&m.tri_face)
.filter(|(_, x)| **x == f)
.filter_map(|(t, _)| m.tri(t))
.filter_map(|t| (t[1] - t[0]).cross(t[2] - t[0]).normalized())
.collect();
let Some(n0) = crate::project::nearest_face(m, p).and_then(|_| ns.first().copied()) else { return Vec::new() };
// Normal at p: of the nearest triangle of the face.
let np = m
.triangles
.iter()
.zip(&m.tri_face)
.filter(|(_, x)| **x == f)
.filter_map(|(t, _)| m.tri(t))
.min_by(|a, b| tri_dist(p, a).total_cmp(&tri_dist(p, b)))
.and_then(|t| (t[1] - t[0]).cross(t[2] - t[0]).normalized())
.unwrap_or(n0);
// The face's straight direction: perpendicular to how its normals vary.
let straight = ns.iter().map(|n| np.cross(*n)).filter(|c| c.len() > 1e-3).fold(None::<Vec3>, |acc, c| match acc {
None => c.normalized(),
Some(a) => (a + if a.dot(c) < 0.0 { -c } else { c }).normalized(),
});
let along = match dir.trim().to_ascii_lowercase().as_str() {
"u" | "v" => {
let s = straight.unwrap_or_else(|| Plane::from_normal(p, np).map(|pl| pl.x).unwrap_or(Vec3::X));
if dir.trim().eq_ignore_ascii_case("v") { s } else { np.cross(s) }
}
other => {
let v: Vec<f64> = other.split([',', ' ']).filter_map(|x| x.trim().parse().ok()).collect();
match v[..] {
[x, y, z] => Vec3::new(x, y, z),
_ => return Vec::new(),
}
}
};
// Cutting plane through p containing the face normal and the curve direction.
let Some(cut_n) = np.cross(along).normalized() else { return Vec::new() };
// Nudged off the point so the cut does not run exactly along mesh edges (a seam); the side
// that cuts more of the face wins.
let nudge = m.bounds().diagonal().max(1e-9) * 1e-8;
let cut = |off: f64| -> Vec<Vec<Vec3>> {
let Some(pl) = Plane::from_normal(p + cut_n * off, cut_n) else { return Vec::new() };
let geom = crate::project::section(&pl, m, Some(f));
let pieces: Vec<Vec<Vec3>> =
geom.iter().map(|g| link_polyline(g).into_iter().map(|q| pl.to_world(q)).collect()).filter(|w: &Vec<Vec3>| w.len() >= 2).collect();
join_wires(pieces, m.bounds().diagonal().max(1e-9) * 1e-6)
};
let len = |ws: &Vec<Vec<Vec3>>| ws.iter().flat_map(|w| w.windows(2).map(|x| x[0].dist(x[1]))).sum::<f64>();
let (a, b) = (cut(nudge), cut(-nudge));
if len(&a) >= len(&b) { a } else { b }
}
/// Join polylines whose ends meet into longer ones.
fn join_wires(mut ws: Vec<Vec<Vec3>>, tol: f64) -> Vec<Vec<Vec3>> {
let mut out: Vec<Vec<Vec3>> = Vec::new();
while let Some(mut cur) = ws.pop() {
let mut grew = true;
while grew {
grew = false;
for i in 0..ws.len() {
let (Some(cs), Some(ce)) = (cur.first().copied(), cur.last().copied()) else { break };
let (Some(ws0), Some(we)) = (ws[i].first().copied(), ws[i].last().copied()) else { continue };
let mut w = if ce.dist(ws0) < tol || cs.dist(we) < tol || ce.dist(we) < tol || cs.dist(ws0) < tol { ws.remove(i) } else { continue };
if ce.dist(ws0) < tol {
cur.extend(w.drain(1..));
} else if ce.dist(we) < tol {
w.reverse();
cur.extend(w.drain(1..));
} else if cs.dist(we) < tol {
w.extend(cur.drain(1..));
cur = w;
} else {
w.reverse();
w.extend(cur.drain(1..));
cur = w;
}
grew = true;
break;
}
}
out.push(cur);
}
out
}
fn tri_dist(p: Vec3, t: &[Vec3; 3]) -> f64 {
let c = (t[0] + t[1] + t[2]) / 3.0;
c.dist(p)
}
/// Sample a fitted planar curve.
fn link_polyline(g: &solvecraft_sketch::LinkGeom) -> Vec<Vec2> {
use solvecraft_sketch::LinkGeom;
match *g {
LinkGeom::Line(a, b) => vec![a, b],
LinkGeom::Circle(c, r) => (0..=96).map(|i| c + Vec2::from_angle(i as f64 / 96.0 * std::f64::consts::TAU) * r).collect(),
LinkGeom::Arc { c, a, b } => {
let (s0, mut sw) = ((a - c).angle(), (b - c).angle() - (a - c).angle());
while sw <= 1e-12 {
sw += std::f64::consts::TAU;
}
let r = c.dist(a);
(0..=48).map(|i| c + Vec2::from_angle(s0 + sw * i as f64 / 48.0) * r).collect()
}
LinkGeom::Conic { a, apex, b, rho } => (0..=32).map(|i| solvecraft_sketch::conic_point(a, apex, b, rho, i as f64 / 32.0)).collect(),
LinkGeom::Point(_) => Vec::new(),
}
}