refactor(hatch): take the boundary arrangement from the kernel

624 lines become 70. What went is the planar arrangement itself —
splitting segments at their crossings, welding coincident endpoints and
tracing the bounded faces of the resulting graph — which is not a
drawing-specific problem. It is the same one a B-rep boolean solves in a
face's parameter space once the intersection curves are projected into
it, so solving it in the kernel means the boolean does not arrive with a
second copy.

What stays is reading the wires, which is where the drawing's own
conventions are: NaNs separating the runs inside one WireModel, and the
double-single coordinate pair that has to be recombined before anything
is measured.

Co-Authored-By: Claude Opus 5 <noreply@anthropic.com>
This commit is contained in:
Hakan Seven 2026-08-09 01:30:32 +03:00
commit f9a0d73dc6
2 changed files with 34 additions and 588 deletions

2
Cargo.lock generated
View file

@ -935,7 +935,7 @@ checksum = "fc652a48c352aef3ea3aed32080501cf3ef6ed5da78602a020c991775b0aff04"
[[package]]
name = "cadkernel"
version = "0.1.0"
source = "git+https://github.com/HakanSeven12/cadkernel.git#92ef66a4e124881252d10eef066c65bd129ebddc"
source = "git+https://github.com/HakanSeven12/cadkernel.git#441e3c6d8a55f3a8e799ef3cbe1e0b4301d66f14"
dependencies = [
"cavalier_contours",
]

View file

@ -1,92 +1,14 @@
use super::*;
use std::collections::{HashMap, HashSet};
use acadrust::kernel::geom2d::{bounded_faces, Line};
const NODE_EPS: f64 = 1.0e-6;
const ORIENTATION_EPS: f64 = 1.0e-12;
const AREA_EPS: f64 = 1.0e-10;
#[derive(Clone, Copy, Debug)]
struct P2 {
x: f64,
y: f64,
}
impl P2 {
fn new(x: f64, y: f64) -> Self {
Self { x, y }
}
fn lerp(self, other: Self, t: f64) -> Self {
Self {
x: self.x + (other.x - self.x) * t,
y: self.y + (other.y - self.y) * t,
}
}
fn distance2(self, other: Self) -> f64 {
let dx = self.x - other.x;
let dy = self.y - other.y;
dx * dx + dy * dy
}
}
#[derive(Clone, Copy, Debug)]
struct Segment {
a: P2,
b: P2,
}
impl Segment {
fn new(a: P2, b: P2) -> Self {
Self { a, b }
}
}
#[derive(Clone, Copy, Debug)]
struct SegmentAabb {
min_x: f64,
max_x: f64,
min_y: f64,
max_y: f64,
}
impl SegmentAabb {
fn new(segment: Segment) -> Self {
Self {
min_x: segment.a.x.min(segment.b.x),
max_x: segment.a.x.max(segment.b.x),
min_y: segment.a.y.min(segment.b.y),
max_y: segment.a.y.max(segment.b.y),
}
}
fn min(self, axis: SweepAxis) -> f64 {
match axis {
SweepAxis::X => self.min_x,
SweepAxis::Y => self.min_y,
}
}
fn max(self, axis: SweepAxis) -> f64 {
match axis {
SweepAxis::X => self.max_x,
SweepAxis::Y => self.max_y,
}
}
}
#[derive(Clone, Copy)]
enum SweepAxis {
X,
Y,
}
enum SegmentIntersection {
None,
Point { a: f64, b: f64 },
Overlap { a: [f64; 2], b: [f64; 2] },
}
/// How far apart two points may be and still be taken for the same one.
///
/// The boundary search runs on already-tessellated wire geometry, so the
/// input is a chord approximation of the drawn curves to begin with; this
/// only has to be coarse enough to close the gaps that leaves and fine
/// enough not to weld genuinely separate corners together.
const WELD_TOLERANCE: f64 = 1.0e-6;
impl Scene {
/// Build closed planar regions from the visible wire geometry.
@ -98,12 +20,17 @@ impl Scene {
/// Curved entities participate through their already-tessellated WireModel
/// geometry, so arcs, circles, ellipses and splines can take part in the
/// boundary search without modifying the source entities.
///
/// The arrangement itself is the kernel's: splitting at crossings, welding
/// coincident ends and tracing the bounded faces is the same problem a
/// B-rep boolean solves in a face's parameter space, and it is solved
/// once. What stays here is reading the wires — which is where the
/// drawing's own conventions live.
pub fn hatch_boundary_outlines(&self) -> Vec<Vec<[f64; 2]>> {
let wires = self.entity_wires();
let mut segments = Vec::<Segment>::new();
let mut segments = Vec::<Line>::new();
for wire in wires.iter() {
let mut previous: Option<P2> = None;
for wire in self.entity_wires().iter() {
let mut previous: Option<[f64; 2]> = None;
for (index, high) in wire.points.iter().copied().enumerate() {
// NaNs delimit independent segments inside some WireModels,
@ -113,16 +40,24 @@ impl Scene {
continue;
}
// The wire carries its coordinates as a double-single pair, so
// both halves are needed to recover the f64 the tessellation
// produced. Reading only the high half would put every vertex
// of a survey-coordinate drawing on a grid coarser than the
// weld tolerance.
let low = wire.points_low.get(index).copied().unwrap_or([0.0; 3]);
let current = P2::new(
let current = [
high[0] as f64 + low[0] as f64,
high[1] as f64 + low[1] as f64,
);
];
if let Some(prev) = previous {
if prev.distance2(current) > NODE_EPS * NODE_EPS {
segments.push(Segment::new(prev, current));
if let Some(start) = previous {
let (dx, dy) = (current[0] - start[0], current[1] - start[1]);
if dx.hypot(dy) > WELD_TOLERANCE {
segments.push(Line {
start,
end: current,
});
}
}
@ -130,495 +65,6 @@ impl Scene {
}
}
build_planar_outlines(&segments)
.into_iter()
.map(|ring| ring.into_iter().map(|p| [p.x, p.y]).collect())
.collect()
}
}
/// Build all bounded faces produced by a collection of planar segments.
///
/// Every intersection splits the participating segments virtually. The
/// resulting pieces are assembled into an undirected planar graph and its
/// bounded faces are traced using a half-edge walk.
fn build_planar_outlines(segments: &[Segment]) -> Vec<Vec<P2>> {
if segments.is_empty() {
return Vec::new();
}
// Each original segment starts with its two endpoints as split positions.
let mut cuts: Vec<Vec<f64>> = vec![vec![0.0, 1.0]; segments.len()];
// Sweep the less-congested coordinate axis, then run the exact AABB and
// segment tests only for active candidates. Dense intersections remain
// output-sensitive, while spatially separated geometry avoids all-pairs
// work.
let aabbs: Vec<SegmentAabb> = segments.iter().copied().map(SegmentAabb::new).collect();
let axis = choose_sweep_axis(&aabbs);
let mut order: Vec<usize> = (0..segments.len()).collect();
order.sort_by(|&a, &b| aabbs[a].min(axis).total_cmp(&aabbs[b].min(axis)));
let mut active = Vec::<usize>::new();
for i in order {
let current_min = aabbs[i].min(axis);
active.retain(|&j| aabbs[j].max(axis) + NODE_EPS >= current_min);
for &j in &active {
if !segment_aabbs_overlap(aabbs[i], aabbs[j]) {
continue;
}
match segment_intersection(segments[i], segments[j]) {
SegmentIntersection::None => {}
SegmentIntersection::Point { a, b } => {
cuts[i].push(a.clamp(0.0, 1.0));
cuts[j].push(b.clamp(0.0, 1.0));
}
SegmentIntersection::Overlap { a, b } => {
cuts[i].push(a[0].clamp(0.0, 1.0));
cuts[i].push(a[1].clamp(0.0, 1.0));
cuts[j].push(b[0].clamp(0.0, 1.0));
cuts[j].push(b[1].clamp(0.0, 1.0));
}
}
}
active.push(i);
}
// Split every segment at all of its intersection parameters.
let mut pieces = Vec::<Segment>::new();
for (segment, params) in segments.iter().copied().zip(cuts.iter_mut()) {
let segment_len = segment.a.distance2(segment.b).sqrt();
let param_merge_eps = (NODE_EPS / segment_len).min(1.0);
params.sort_by(|a, b| a.total_cmp(b));
params.dedup_by(|a, b| (*a - *b).abs() <= param_merge_eps);
for pair in params.windows(2) {
let t0 = pair[0];
let t1 = pair[1];
if (t1 - t0) * segment_len <= NODE_EPS {
continue;
}
let a = segment.a.lerp(segment.b, t0);
let b = segment.a.lerp(segment.b, t1);
if a.distance2(b) > NODE_EPS * NODE_EPS {
pieces.push(Segment::new(a, b));
}
}
}
// Convert split segment endpoints to graph nodes.
let mut nodes = Vec::<P2>::new();
let mut node_map = HashMap::<(i64, i64), Vec<usize>>::new();
let mut edges = HashSet::<(usize, usize)>::new();
for piece in pieces {
let a = node_for_point(piece.a, &mut nodes, &mut node_map);
let b = node_for_point(piece.b, &mut nodes, &mut node_map);
if a == b {
continue;
}
let edge = if a < b { (a, b) } else { (b, a) };
edges.insert(edge);
}
if edges.is_empty() {
return Vec::new();
}
// Build adjacency lists.
let mut adjacency = vec![Vec::<usize>::new(); nodes.len()];
for &(a, b) in &edges {
adjacency[a].push(b);
adjacency[b].push(a);
}
// A planar half-edge walk needs the neighbors around every vertex sorted
// by polar angle.
for (vertex, neighbors) in adjacency.iter_mut().enumerate() {
let origin = nodes[vertex];
neighbors.sort_by(|&a, &b| {
let aa = (nodes[a].y - origin.y).atan2(nodes[a].x - origin.x);
let ab = (nodes[b].y - origin.y).atan2(nodes[b].x - origin.x);
aa.total_cmp(&ab)
});
neighbors.dedup();
}
let mut visited = HashSet::<(usize, usize)>::new();
let mut faces = Vec::<Vec<P2>>::new();
// Each undirected edge represents two directed half-edges. Walking each
// unused half-edge while always taking the clockwise neighbor at the next
// vertex traces one face.
for u in 0..nodes.len() {
for &v in &adjacency[u] {
if visited.contains(&(u, v)) {
continue;
}
let start = (u, v);
let mut current = start;
let mut ring = Vec::<P2>::new();
let mut closed = false;
// A valid planar face cannot require more directed edges than exist
// in the complete graph. This also protects against malformed input.
let max_steps = edges.len() * 2 + 1;
for _ in 0..max_steps {
if visited.contains(&current) {
break;
}
visited.insert(current);
let (from, to) = current;
ring.push(nodes[from]);
let neighbors = &adjacency[to];
if neighbors.is_empty() {
break;
}
let Some(incoming_index) = neighbors.iter().position(|&neighbor| neighbor == from)
else {
break;
};
// Neighbors are sorted counter-clockwise. Taking the previous
// one keeps the bounded face on the left side of the half-edge.
let next_index = if incoming_index == 0 {
neighbors.len() - 1
} else {
incoming_index - 1
};
let next = neighbors[next_index];
current = (to, next);
if current == start {
closed = true;
break;
}
}
if !closed || ring.len() < 3 {
continue;
}
let area = signed_area(&ring);
// The reverse traversal produces the unbounded exterior face.
// With the walk rule above, bounded faces are counter-clockwise.
if area > AREA_EPS {
faces.push(ring);
}
}
}
faces
}
fn node_for_point(
p: P2,
nodes: &mut Vec<P2>,
map: &mut HashMap<(i64, i64), Vec<usize>>,
) -> usize {
let key = node_key(p);
for dx in -1_i64..=1 {
for dy in -1_i64..=1 {
let neighbor = (key.0.saturating_add(dx), key.1.saturating_add(dy));
if let Some(indices) = map.get(&neighbor) {
if let Some(&index) = indices
.iter()
.find(|&&index| nodes[index].distance2(p) <= NODE_EPS * NODE_EPS)
{
return index;
}
}
}
}
let index = nodes.len();
nodes.push(p);
map.entry(key).or_default().push(index);
index
}
fn node_key(p: P2) -> (i64, i64) {
(
(p.x / NODE_EPS).floor() as i64,
(p.y / NODE_EPS).floor() as i64,
)
}
fn choose_sweep_axis(aabbs: &[SegmentAabb]) -> SweepAxis {
if normalized_interval_span(aabbs, SweepAxis::X)
<= normalized_interval_span(aabbs, SweepAxis::Y)
{
SweepAxis::X
} else {
SweepAxis::Y
}
}
fn normalized_interval_span(aabbs: &[SegmentAabb], axis: SweepAxis) -> f64 {
let min = aabbs
.iter()
.map(|aabb| aabb.min(axis))
.fold(f64::INFINITY, f64::min);
let max = aabbs
.iter()
.map(|aabb| aabb.max(axis))
.fold(f64::NEG_INFINITY, f64::max);
let extent = max - min;
if !extent.is_finite() || extent <= NODE_EPS {
return f64::INFINITY;
}
let total: f64 = aabbs
.iter()
.map(|aabb| aabb.max(axis) - aabb.min(axis) + NODE_EPS)
.sum();
total / extent
}
fn segment_aabbs_overlap(a: SegmentAabb, b: SegmentAabb) -> bool {
a.max_x + NODE_EPS >= b.min_x
&& b.max_x + NODE_EPS >= a.min_x
&& a.max_y + NODE_EPS >= b.min_y
&& b.max_y + NODE_EPS >= a.min_y
}
/// Intersection parameters of two finite XY segments.
fn segment_intersection(a: Segment, b: Segment) -> SegmentIntersection {
let rx = a.b.x - a.a.x;
let ry = a.b.y - a.a.y;
let sx = b.b.x - b.a.x;
let sy = b.b.y - b.a.y;
let r2 = rx * rx + ry * ry;
let s2 = sx * sx + sy * sy;
if r2 <= f64::EPSILON || s2 <= f64::EPSILON {
return SegmentIntersection::None;
}
let r_len = r2.sqrt();
let s_len = s2.sqrt();
let cross = rx * sy - ry * sx;
let qpx = b.a.x - a.a.x;
let qpy = b.a.y - a.a.y;
if cross.abs() <= ORIENTATION_EPS * r_len * s_len {
if (qpx * ry - qpy * rx).abs() > NODE_EPS * r_len {
return SegmentIntersection::None;
}
let b0_on_a = (qpx * rx + qpy * ry) / r2;
let b1_on_a = b0_on_a + (sx * rx + sy * ry) / r2;
let lo = b0_on_a.min(b1_on_a).max(0.0);
let hi = b0_on_a.max(b1_on_a).min(1.0);
let a_param_eps = NODE_EPS / r_len;
if hi < lo - a_param_eps {
return SegmentIntersection::None;
}
let lo = lo.clamp(0.0, 1.0);
let hi = hi.clamp(0.0, 1.0);
let lo_point = a.a.lerp(a.b, lo);
let hi_point = a.a.lerp(a.b, hi);
let b_lo = ((lo_point.x - b.a.x) * sx + (lo_point.y - b.a.y) * sy) / s2;
let b_hi = ((hi_point.x - b.a.x) * sx + (hi_point.y - b.a.y) * sy) / s2;
if (hi - lo) * r_len <= NODE_EPS {
return SegmentIntersection::Point {
a: (lo + hi) * 0.5,
b: (b_lo + b_hi) * 0.5,
};
}
return SegmentIntersection::Overlap {
a: [lo, hi],
b: [b_lo, b_hi],
};
}
let t = (qpx * sy - qpy * sx) / cross;
let u = (qpx * ry - qpy * rx) / cross;
let t_eps = NODE_EPS / r_len;
let u_eps = NODE_EPS / s_len;
if t >= -t_eps && t <= 1.0 + t_eps && u >= -u_eps && u <= 1.0 + u_eps {
SegmentIntersection::Point { a: t, b: u }
} else {
SegmentIntersection::None
}
}
fn signed_area(poly: &[P2]) -> f64 {
if poly.len() < 3 {
return 0.0;
}
let origin = poly[0];
let mut area = 0.0;
for i in 1..poly.len() - 1 {
let a = poly[i];
let b = poly[i + 1];
area += (a.x - origin.x) * (b.y - origin.y)
- (b.x - origin.x) * (a.y - origin.y);
}
area * 0.5
}
#[cfg(test)]
mod tests {
use super::*;
fn s(ax: f64, ay: f64, bx: f64, by: f64) -> Segment {
Segment::new(P2::new(ax, ay), P2::new(bx, by))
}
#[test]
fn four_unjoined_lines_form_one_face() {
let segments = vec![
s(0.0, 0.0, 10.0, 0.0),
s(10.0, 0.0, 10.0, 10.0),
s(10.0, 10.0, 0.0, 10.0),
s(0.0, 10.0, 0.0, 0.0),
];
let faces = build_planar_outlines(&segments);
assert_eq!(faces.len(), 1);
assert!((signed_area(&faces[0]) - 100.0).abs() < 1.0e-6);
}
#[test]
fn lines_may_extend_past_the_boundary() {
let segments = vec![
s(-5.0, 0.0, 15.0, 0.0),
s(-5.0, 10.0, 15.0, 10.0),
s(0.0, -5.0, 0.0, 15.0),
s(10.0, -5.0, 10.0, 15.0),
];
let faces = build_planar_outlines(&segments);
assert_eq!(faces.len(), 1);
assert!((signed_area(&faces[0]) - 100.0).abs() < 1.0e-6);
}
#[test]
fn open_geometry_does_not_create_a_face() {
let segments = vec![
s(0.0, 0.0, 10.0, 0.0),
s(10.0, 0.0, 10.0, 10.0),
s(10.0, 10.0, 0.0, 10.0),
];
let faces = build_planar_outlines(&segments);
assert!(faces.is_empty());
}
#[test]
fn collinear_overlap_closes_rectangle() {
let segments = vec![
s(0.0, 0.0, 7.0, 0.0),
s(3.0, 0.0, 10.0, 0.0),
s(10.0, 0.0, 10.0, 10.0),
s(10.0, 10.0, 0.0, 10.0),
s(0.0, 10.0, 0.0, 0.0),
];
let faces = build_planar_outlines(&segments);
assert_eq!(faces.len(), 1);
assert!((signed_area(&faces[0]) - 100.0).abs() < 1.0e-6);
}
#[test]
fn node_merge_crosses_bucket_boundary() {
let mut nodes = Vec::new();
let mut map = HashMap::new();
let a = node_for_point(P2::new(NODE_EPS * 0.99, 0.0), &mut nodes, &mut map);
let b = node_for_point(P2::new(NODE_EPS * 1.01, 0.0), &mut nodes, &mut map);
assert_eq!(a, b);
}
#[test]
fn node_merge_rejects_distant_diagonal_points() {
let mut nodes = Vec::new();
let mut map = HashMap::new();
let a = node_for_point(
P2::new(NODE_EPS * 0.51, NODE_EPS * 0.51),
&mut nodes,
&mut map,
);
let b = node_for_point(
P2::new(NODE_EPS * 1.49, NODE_EPS * 1.49),
&mut nodes,
&mut map,
);
assert_ne!(a, b);
}
#[test]
fn signed_area_is_stable_at_large_coordinates() {
let base = 1.0e12;
let poly = vec![
P2::new(base, base),
P2::new(base + 3.0, base),
P2::new(base + 3.0, base + 4.0),
P2::new(base, base + 4.0),
];
assert!((signed_area(&poly) - 12.0).abs() < 1.0e-9);
}
#[test]
fn long_segments_keep_world_scale_cuts() {
let segments = vec![
s(0.0, 0.0, 1.0e12, 0.0),
s(0.0, 1.0, 1.0e12, 1.0),
s(1.0, -1.0, 1.0, 2.0),
s(2.0, -1.0, 2.0, 2.0),
];
let faces = build_planar_outlines(&segments);
assert_eq!(faces.len(), 1);
assert!((signed_area(&faces[0]) - 1.0).abs() < 1.0e-9);
}
#[test]
fn long_near_collinear_segments_overlap_within_node_tolerance() {
let a = s(0.0, 0.0, 1.0e9, 1.0e-3);
let b = s(5.0e8, 5.0e-4 + 5.0e-7, 1.5e9, 1.5e-3 + 5.0e-7);
assert!(matches!(
segment_intersection(a, b),
SegmentIntersection::Overlap { .. }
));
bounded_faces(&segments, WELD_TOLERANCE)
}
}