//! Convert to Shape, Round Corners and Scribble. use serde_json::Value; use vectorcraft_geom::kurbo; use vectorcraft_geom::shapes::{self, KAPPA}; use vectorcraft_geom::{Affine, Anchor, PathData, Point, Rect, SubPath, corners}; use crate::util::*; /// Convert to Shape (rectangle / rounded rectangle / ellipse) around the bounds. pub fn convert_to_shape(id: &str, b: Rect, p: &Value) -> PathData { let r = if flag(p, "relative", true) { let (ew, eh) = (num(p, "extraW", 18.0), num(p, "extraH", 18.0)); let r = b.inflate(ew / 2.0, eh / 2.0); Rect::new(r.x0.min(b.center().x), r.y0.min(b.center().y), r.x1.max(b.center().x), r.y1.max(b.center().y)) } else { let (w, h) = (num(p, "width", 100.0).abs(), num(p, "height", 100.0).abs()); Rect::from_center_size(b.center(), (w, h)) }; match id { "convertToShape.ellipse" => shapes::ellipse(r), "convertToShape.roundedRectangle" => shapes::rounded_rectangle(r, num(p, "radius", 9.0)), _ => shapes::rectangle(r), } } /// Round Corners: every sharp, handle-less corner becomes a circular-ish arc of `radius`. A corner /// whose anchor carries a handle (where a curve meets a line, or two curves meet) gets Live /// Corners' round cut instead ([`corners::cut_corners`], #1144): it meets each side `radius` from /// the corner, measured along the side, and trims a curved side to what is left of it. pub fn round_corners(path: &PathData, radius: f64) -> PathData { if radius <= 0.0 { return path.clone(); } let mut subs = vec![]; // Per anchor of the result: an anchor with a handle, kept as it was, for the cut below. let mut with_handle = vec![]; for sp in &path.subpaths { let n = sp.anchors.len(); if n < 3 && (n != 2 || sp.closed) { with_handle.extend(sp.anchors.iter().map(|a| a.has_in() || a.has_out())); subs.push(sp.clone()); continue; } let mut out: Vec = vec![]; for i in 0..n { let a = sp.anchors[i]; let interior = sp.closed || (i > 0 && i + 1 < n); if !interior || a.has_in() || a.has_out() { with_handle.push(a.has_in() || a.has_out()); out.push(a); continue; } let prev = &sp.anchors[(i + n - 1) % n]; let next = &sp.anchors[(i + 1) % n]; // Tangent directions toward the neighbours (their handles if the segments curve). let tp = if prev.has_out() { prev.h_out } else { prev.p }; let tn = if next.has_in() { next.h_in } else { next.p }; let (vp, vn) = (tp - a.p, tn - a.p); let (lp, ln) = (vp.hypot(), vn.hypot()); if lp < 1e-9 || ln < 1e-9 { with_handle.push(false); out.push(a); continue; } let (up, un) = (vp / lp, vn / ln); // Nearly straight: nothing to round. if up.dot(un) < -0.9999 { with_handle.push(false); out.push(a); continue; } let d = radius.min(prev.p.distance(a.p) / 2.0).min(next.p.distance(a.p) / 2.0); let pa = a.p + up * d; let pb = a.p + un * d; let k = d * KAPPA; with_handle.extend([false, false]); out.push(Anchor::with_handles(pa, pa, pa - up * k)); out.push(Anchor::with_handles(pb, pb - un * k, pb)); } subs.push(SubPath::new(out, sp.closed)); } let rounded = PathData::new(subs); // The corners left: those whose anchor has a handle. Their cut reaches `radius` along each // side, as above; setback = r · (1 + cos) / sin, solved for the arc's radius r. let mut radii = vec![0.0; with_handle.len()]; for c in corners::path_corners(&rounded) { if with_handle.get(c.index) == Some(&true) && let Some(r) = radii.get_mut(c.index) { *r = radius * c.sin() / (1.0 + c.cos()); } } if radii.iter().all(|r| *r == 0.0) { return rounded; } let (mut out, sources) = corners::cut_corners(&rounded, &radii, &[]); // `cut_corners` starts a closed subpath whose first corner it cuts at the end of that cut; // start at its start instead, as the rounding above does, so what depends on where a path // starts (dashes, arrowheads after the effect) doesn't move. for (sp, from) in out.subpaths.iter_mut().zip(&sources) { if sp.closed && sp.anchors.len() > 1 && from.first() == from.last() { sp.anchors.rotate_right(1); } } out } fn flatten(path: &PathData) -> Vec> { let mut polys: Vec> = vec![]; kurbo::flatten(path.to_bezpath(), 0.25, |el| match el { kurbo::PathEl::MoveTo(p) => polys.push(vec![p]), kurbo::PathEl::LineTo(p) => { if let Some(l) = polys.last_mut() { l.push(p) } } kurbo::PathEl::ClosePath => { if let Some(l) = polys.last_mut() && let Some(&f) = l.first() { l.push(f) } } _ => {} }); polys } /// Whether segment `p`–`q` properly crosses an edge of `polys`: its own ends, which lie on the /// outline, don't count, nor does running along an edge. fn crosses_outline(p: Point, q: Point, polys: &[Vec]) -> bool { let (p, q) = (p.lerp(q, 1e-3), q.lerp(p, 1e-3)); let side = |a: Point, b: Point, c: Point| (b - a).cross(c - a); // Strictly on opposite sides, beyond rounding noise (the sides are areas: length × length). let apart = |s1: f64, s2: f64, eps: f64| (s1 > eps && s2 < -eps) || (s1 < -eps && s2 > eps); let pq = (q - p).hypot(); polys.iter().any(|pl| { pl.windows(2).any(|w| { let (a, b) = (w[0], w[1]); let eps = 1e-9 * pq * (b - a).hypot(); apart(side(p, q, a), side(p, q, b), eps) && apart(side(a, b, p), side(a, b, q), eps) }) }) } /// Scribble (simplified): a zig-zag hatching across the filled area at `angle`, one per region /// of the shape, outlined to `strokeWidth` so the fill paints it. `overlapVariation` moves each /// line's ends along it by up to that many points, `spacingVariation` moves them across it, and /// each turn's curviness moves from `curviness` by up to `curvinessVariation` percent. pub fn scribble(path: &PathData, b: Rect, p: &Value) -> PathData { let angle = num(p, "angle", 30.0).to_radians(); let overlap = num(p, "overlap", 0.0); let width = num(p, "strokeWidth", 3.0).clamp(0.01, 1000.0); let curviness = num(p, "curviness", 5.0).clamp(0.0, 100.0); let curvy = curviness / 100.0; let curvy_var = num(p, "curvinessVariation", 0.0).clamp(0.0, 100.0); let spacing = num(p, "spacing", 5.0).max(0.1); let along = num(p, "overlapVariation", 0.5).clamp(0.0, 100.0); let across = num(p, "spacingVariation", 0.5).clamp(0.0, 100.0); let seed = seed(p); let c = b.center(); let to_local = Affine::translate(c.to_vec2()) * Affine::rotate(angle) * Affine::translate(-c.to_vec2()); let from_local = to_local.inverse(); let polys: Vec> = flatten(path).into_iter().map(|pl| pl.into_iter().map(|q| from_local * q).collect()).collect(); let (mut y0, mut y1) = (f64::INFINITY, f64::NEG_INFINITY); for q in polys.iter().flatten() { y0 = y0.min(q.y); y1 = y1.max(q.y); } if !y0.is_finite() || y1 - y0 < 1e-9 { return PathData::default(); } let step = spacing.max((y1 - y0) / 2000.0); // One zig-zag per region (#1648): a span continues a chain of the previous row as long as the // line from that row's end to this one's start stays inside the shape; otherwise it starts a // chain of its own. So no line crosses a hole or a notch. In a convex shape that line always // stays inside: one chain, as before. struct Chain { pts: Vec, // Each point's curviness noise in [-1, 1]. bends: Vec, end: Point, row: u64, } let mut chains: Vec = vec![]; let mut row = 0u64; // Rows are counted, not summed: adding a step that is below the spacing of the numbers at `y` // would never move it. while row <= 2001 { let y = y0 + step / 2.0 + row as f64 * step; if y.partial_cmp(&y1) != Some(std::cmp::Ordering::Less) { break; } let mut xs: Vec = vec![]; for pl in &polys { for w in pl.windows(2) { let (a, bq) = (w[0], w[1]); if (a.y <= y && bq.y > y) || (bq.y <= y && a.y > y) { xs.push(a.x + (y - a.y) / (bq.y - a.y) * (bq.x - a.x)); } } } xs.sort_by(f64::total_cmp); let spans: Vec<(f64, f64)> = xs.as_chunks::<2>().0.iter().map(|s| (s[0] - overlap, s[1] + overlap)).collect(); let open = chains.len(); for (a, bx) in spans { let jitter = |k: u64, v: f64| v * noise(seed, row, k, 3); let (l, r) = (Point::new(a + jitter(0, along), y + jitter(1, across)), Point::new(bx + jitter(2, along), y + jitter(3, across))); let even = row.is_multiple_of(2); let pair = if even { [l, r] } else { [r, l] }; let bend = [noise(seed, row, 4, 3), noise(seed, row, 5, 3)]; let bend = if even { bend } else { [bend[1], bend[0]] }; // Un-jittered ends of the span in drawing order. let (start, end) = if even { (Point::new(a, y), Point::new(bx, y)) } else { (Point::new(bx, y), Point::new(a, y)) }; // The nearest chain of the previous row that this span can join without leaving // the shape. let prev = row.checked_sub(1); let pick = (0..open) .filter(|&k| Some(chains[k].row) == prev && !crosses_outline(chains[k].end, start, &polys)) .min_by(|&i, &j| (chains[i].end - start).hypot().total_cmp(&(chains[j].end - start).hypot())); match pick { Some(k) => { let c = &mut chains[k]; c.pts.extend(pair); c.bends.extend(bend); (c.end, c.row) = (end, row); } None => chains.push(Chain { pts: pair.to_vec(), bends: bend.to_vec(), end, row }), } } row += 1; } let lines: Vec = chains .into_iter() .filter(|c| c.pts.len() >= 2) .map(|c| { if curvy_var > 0.0 { varied_curves(&c.pts, &c.bends, curviness, curvy_var) } else if curvy > 0.0 { catmull_rom(&c.pts, false, curvy * 2.0) } else { SubPath::polyline(&c.pts, false) } }) .collect(); if lines.is_empty() { return PathData::default(); } let mut center = PathData::new(lines); center.transform(to_local); let stroke = kurbo::Stroke::new(width).with_join(kurbo::Join::Round).with_caps(kurbo::Cap::Round); let outline = kurbo::stroke(center.to_bezpath(), &stroke, &kurbo::StrokeOpts::default(), 0.05); PathData::from_bezpath(&outline) } /// A scribble line through `pts` whose curviness at each point is `curviness` percent plus /// `variation` percent times that point's `bends` noise (in -1..1), kept within 0 to 100 percent. fn varied_curves(pts: &[Point], bends: &[f64], curviness: f64, variation: f64) -> SubPath { // A tension of 6 makes each handle the whole Catmull-Rom tangent; each point then scales its // own to the tension `catmull_rom` takes for that curviness (curviness / 100 × 2). let mut line = catmull_rom(pts, false, 6.0); for (a, bend) in line.anchors.iter_mut().zip(bends) { let k = (curviness + variation * bend).clamp(0.0, 100.0) / 300.0; a.h_in = a.p + (a.h_in - a.p) * k; a.h_out = a.p + (a.h_out - a.p) * k; } line }