Sketch profiles: grid-accelerated splitting and node merging, bounding-box nesting (large sketches several times faster); randomized sketch-editing test (thousands of mixed create/modify/constraint/projection/undo steps: no panics, designs round-trip)
Co-Authored-By: Claude Opus 5.5 <[email protected]> Claude-Session: https://claude.ai/code/session_01AS5Tn3xieewUSg3uxrMVdL
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@@ -68,6 +68,45 @@ fn end_param(sh: &Shape, p: Vec2, tol: f64) -> Option<f64> {
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}
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}
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/// A uniform grid over a set of boxes (about one box per cell), for neighbour queries.
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struct Grid {
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lo: Vec2,
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size: f64,
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}
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impl Grid {
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fn new(boxes: &[(Vec2, Vec2)]) -> Grid {
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let (mut lo, mut hi) = (Vec2::new(f64::INFINITY, f64::INFINITY), Vec2::new(f64::NEG_INFINITY, f64::NEG_INFINITY));
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for (a, b) in boxes {
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lo = Vec2::new(lo.x.min(a.x), lo.y.min(a.y));
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hi = Vec2::new(hi.x.max(b.x), hi.y.max(b.y));
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}
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if !(lo.is_finite() && hi.is_finite()) {
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return Grid { lo: Vec2::ZERO, size: 1.0 };
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}
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let ext = (hi.x - lo.x).max(hi.y - lo.y).max(1e-9);
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let per_side = (boxes.len() as f64).sqrt().ceil().clamp(1.0, 512.0);
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Grid { lo, size: ext / per_side }
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}
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fn cell(&self, p: Vec2) -> (i64, i64) {
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(((p.x - self.lo.x) / self.size).floor() as i64, ((p.y - self.lo.y) / self.size).floor() as i64)
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}
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/// Cells a box covers; None for boxes spanning too many (they are checked against all).
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fn cells(&self, b: &(Vec2, Vec2)) -> Option<Vec<(i64, i64)>> {
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let (c0, c1) = (self.cell(b.0), self.cell(b.1));
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if (c1.0 - c0.0 + 1).saturating_mul(c1.1 - c0.1 + 1) > 2048 {
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return None;
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}
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let mut out = Vec::new();
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for x in c0.0..=c1.0 {
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for y in c0.1..=c1.1 {
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out.push((x, y));
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}
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}
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Some(out)
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}
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}
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fn find(p: &mut [usize], mut i: usize) -> usize {
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while let Some(&q) = p.get(i) {
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if q == i {
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@@ -150,17 +189,7 @@ pub fn find_profiles(sk: &Sketch) -> Vec<Profile> {
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Shape::Round { .. } => {}
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}
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}
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let mut cuts: Vec<Vec<f64>> = vec![Vec::new(); shapes.len()];
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for (i, (_, sh)) in shapes.iter().enumerate() {
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for p in &ends {
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if let Some(t) = sh.param_on(*p, tol)
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&& let Some(c) = cuts.get_mut(i)
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{
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c.push(t);
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}
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}
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}
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// Bounding boxes: only shapes whose boxes overlap can cross.
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// Bounding boxes, and a uniform grid over them: only shapes sharing a cell can meet.
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let boxes: Vec<(Vec2, Vec2)> = shapes
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.iter()
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.map(|(_, sh)| match *sh {
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@@ -172,9 +201,69 @@ pub fn find_profiles(sk: &Sketch) -> Vec<Profile> {
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(Some((a0, a1)), Some((b0, b1))) => a0.x <= b1.x && b0.x <= a1.x && a0.y <= b1.y && b0.y <= a1.y,
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_ => false,
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};
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if shapes.len() <= 20_000 {
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let grid = Grid::new(&boxes);
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let mut cuts: Vec<Vec<f64>> = vec![Vec::new(); shapes.len()];
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// End points of other curves lying on each shape.
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let mut end_cells: std::collections::HashMap<(i64, i64), Vec<usize>> = std::collections::HashMap::new();
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for (k, p) in ends.iter().enumerate() {
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end_cells.entry(grid.cell(*p)).or_default().push(k);
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}
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let all_ends: Vec<usize> = (0..ends.len()).collect();
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for (i, (_, sh)) in shapes.iter().enumerate() {
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let Some(b) = boxes.get(i) else { continue };
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let cand: Vec<usize> = match grid.cells(b) {
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Some(cs) => cs.iter().flat_map(|c| end_cells.get(c).map(Vec::as_slice).unwrap_or(&[])).copied().collect(),
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None => all_ends.clone(),
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};
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for k in cand {
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if let Some(p) = ends.get(k)
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&& let Some(t) = sh.param_on(*p, tol)
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&& let Some(cu) = cuts.get_mut(i)
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{
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cu.push(t);
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}
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}
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}
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let mut shape_cells: std::collections::HashMap<(i64, i64), Vec<usize>> = std::collections::HashMap::new();
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let mut global: Vec<usize> = Vec::new();
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for (i, b) in boxes.iter().enumerate() {
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match grid.cells(b) {
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Some(cs) => {
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for c in cs {
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shape_cells.entry(c).or_default().push(i);
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}
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}
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None => global.push(i),
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}
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}
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let mut partners: Vec<Vec<usize>> = vec![Vec::new(); shapes.len()];
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for v in shape_cells.values() {
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for (k, &i) in v.iter().enumerate() {
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for &j in v.iter().skip(k + 1) {
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let (lo, hi) = if i < j { (i, j) } else { (j, i) };
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if let Some(p) = partners.get_mut(lo) {
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p.push(hi);
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}
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}
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}
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}
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for &g in &global {
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for j in 0..shapes.len() {
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if j != g {
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let (lo, hi) = if g < j { (g, j) } else { (j, g) };
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if let Some(p) = partners.get_mut(lo) {
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p.push(hi);
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}
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}
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}
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}
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for p in &mut partners {
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p.sort_unstable();
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p.dedup();
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}
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if shapes.len() <= 50_000 {
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for i in 0..shapes.len() {
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for j in (i + 1)..shapes.len() {
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for &j in partners.get(i).map(Vec::as_slice).unwrap_or(&[]) {
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if !overlap(i, j) {
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continue;
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}
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@@ -211,12 +300,24 @@ pub fn find_profiles(sk: &Sketch) -> Vec<Profile> {
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}
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// Pieces → edges between merged nodes.
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let mut nodes: Vec<Vec2> = Vec::new();
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// Grid buckets of `tol`-sized cells: merging looks only at neighbouring cells.
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let mut grid: std::collections::HashMap<(i64, i64), Vec<usize>> = std::collections::HashMap::new();
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let cell = |p: Vec2| ((p.x / tol).floor() as i64, (p.y / tol).floor() as i64);
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let mut node = |p: Vec2| -> usize {
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if let Some(i) = nodes.iter().position(|q| q.dist(p) <= tol) {
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return i;
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let (cx, cy) = cell(p);
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for dx in -1..=1 {
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for dy in -1..=1 {
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if let Some(v) = grid.get(&(cx + dx, cy + dy))
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&& let Some(i) = v.iter().copied().find(|i| nodes.get(*i).is_some_and(|q| q.dist(p) <= tol))
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{
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return i;
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}
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}
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}
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nodes.push(p);
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nodes.len() - 1
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let i = nodes.len() - 1;
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grid.entry((cx, cy)).or_default().push(i);
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i
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};
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let mut loops: Vec<(Loop2, Vec<String>, usize)> = Vec::new(); // (ccw loop, curve ids, component)
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let mut edges: Vec<Edge> = Vec::new();
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@@ -402,8 +503,18 @@ pub fn find_profiles(sk: &Sketch) -> Vec<Profile> {
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}
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}
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// Nesting: parent = smallest containing loop from another component.
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// Nesting: parent = smallest containing loop from another component. Bounding boxes rule
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// out most pairs before the point-in-loop test.
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let areas: Vec<f64> = loops.iter().map(|(l, _, _)| l.signed_area().abs()).collect();
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let boxes: Vec<(Vec2, Vec2)> = loops
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.iter()
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.map(|(l, _, _)| {
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l.polyline(1e-3).iter().fold((Vec2::new(f64::INFINITY, f64::INFINITY), Vec2::new(f64::NEG_INFINITY, f64::NEG_INFINITY)), |(lo, hi), p| {
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(Vec2::new(lo.x.min(p.x), lo.y.min(p.y)), Vec2::new(hi.x.max(p.x), hi.y.max(p.y)))
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})
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})
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.collect();
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let inside_box = |j: usize, p: Vec2| boxes.get(j).is_some_and(|(lo, hi)| p.x >= lo.x && p.x <= hi.x && p.y >= lo.y && p.y <= hi.y);
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let mut parent_of: Vec<Option<usize>> = vec![None; loops.len()];
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for (i, (li, _, ci)) in loops.iter().enumerate() {
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let probe = li.segs.first().map(Seg2::mid).unwrap_or_default();
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@@ -411,10 +522,10 @@ pub fn find_profiles(sk: &Sketch) -> Vec<Profile> {
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let mut best: Option<(f64, usize)> = None;
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for (j, (lj, _, cj)) in loops.iter().enumerate() {
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let aj = areas.get(j).copied().unwrap_or(0.0);
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if i == j || ci == cj || aj <= ai {
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if i == j || ci == cj || aj <= ai || !inside_box(j, probe) || best.is_some_and(|(ba, _)| aj >= ba) {
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continue;
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}
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if lj.contains(probe) && best.is_none_or(|(ba, _)| aj < ba) {
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if lj.contains(probe) {
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best = Some((aj, j));
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}
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}
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@@ -422,11 +533,19 @@ pub fn find_profiles(sk: &Sketch) -> Vec<Profile> {
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*p = best.map(|(_, j)| j);
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}
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}
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let mut kids_of: Vec<Vec<usize>> = vec![Vec::new(); loops.len()];
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for (k, p) in parent_of.iter().enumerate() {
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if let Some(p) = p
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&& let Some(v) = kids_of.get_mut(*p)
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{
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v.push(k);
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}
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}
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let mut out: Vec<Profile> = loops
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.iter()
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.enumerate()
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.map(|(i, (l, ids, _))| {
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let kids: Vec<usize> = (0..loops.len()).filter(|k| parent_of.get(*k).copied().flatten() == Some(i)).collect();
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let kids: Vec<usize> = kids_of.get(i).cloned().unwrap_or_default();
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let holes: Vec<Loop2> = kids.iter().filter_map(|k| loops.get(*k).map(|(h, _, _)| h.ccw().reversed())).collect();
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let hole_curves: Vec<Vec<String>> = kids.iter().filter_map(|k| loops.get(*k).map(|(_, ids, _)| ids.clone())).collect();
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let region = Region2 { outer: l.ccw(), holes };
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