//! Hit testing primitives. use kurbo::{BezPath, ParamCurveNearest, Point, Rect, Shape}; use crate::path::{FillRule, PathData}; /// Is `p` inside the filled area of `path` under `rule`? Open subpaths are implicitly closed (as when filled). pub fn fill_contains(path: &BezPath, rule: FillRule, p: Point) -> bool { let w = path.winding(p); match rule { FillRule::NonZero => w != 0, FillRule::EvenOdd => w % 2 != 0, } } /// Distance from `p` to the nearest point on the path outline. pub fn distance_to_outline(path: &BezPath, p: Point) -> f64 { path.segments().map(|s| s.nearest(p, 1e-9).distance_sq).fold(f64::INFINITY, f64::min).sqrt() } /// Is `p` within `tol` of the path's stroke of width `width`? pub fn stroke_contains(path: &BezPath, width: f64, tol: f64, p: Point) -> bool { let quick = path.bounding_box().inflate(width / 2.0 + tol, width / 2.0 + tol); quick.contains(p) && distance_to_outline(path, p) <= width / 2.0 + tol } /// Does the path intersect (or lie inside) the rect? Used for marquee selection. pub fn intersects_rect(path: &PathData, r: Rect) -> bool { let Some(b) = path.bounds() else { return false }; if b.intersect(r).area() <= 0.0 && !(b.width() == 0.0 || b.height() == 0.0) { return false; } // Any anchor inside? if path.anchors().any(|(_, _, a)| r.contains(a.p)) { return true; } // Any segment crossing the rect edges? let edges = [ kurbo::Line::new((r.x0, r.y0), (r.x1, r.y0)), kurbo::Line::new((r.x1, r.y0), (r.x1, r.y1)), kurbo::Line::new((r.x1, r.y1), (r.x0, r.y1)), kurbo::Line::new((r.x0, r.y1), (r.x0, r.y0)), ]; let bp = path.to_bezpath(); for seg in bp.segments() { for e in &edges { if !seg.intersect_line(*e).is_empty() { return true; } } } // Rect entirely inside a closed shape counts as touching it. path.is_closed() && fill_contains(&bp, FillRule::NonZero, r.center()) } #[cfg(test)] mod tests { use super::*; use crate::shapes; #[test] fn fill_and_stroke() { let p = shapes::rectangle(Rect::new(0.0, 0.0, 10.0, 10.0)).to_bezpath(); assert!(fill_contains(&p, FillRule::NonZero, Point::new(5.0, 5.0))); assert!(!fill_contains(&p, FillRule::NonZero, Point::new(15.0, 5.0))); assert!(stroke_contains(&p, 2.0, 0.0, Point::new(10.5, 5.0))); assert!(!stroke_contains(&p, 2.0, 0.0, Point::new(12.0, 5.0))); } #[test] fn evenodd_hole() { let mut outer = shapes::rectangle(Rect::new(0.0, 0.0, 10.0, 10.0)); outer.subpaths.extend(shapes::rectangle(Rect::new(3.0, 3.0, 7.0, 7.0)).subpaths); let bp = outer.to_bezpath(); assert!(!fill_contains(&bp, FillRule::EvenOdd, Point::new(5.0, 5.0))); assert!(fill_contains(&bp, FillRule::NonZero, Point::new(5.0, 5.0))); assert!(fill_contains(&bp, FillRule::EvenOdd, Point::new(1.0, 5.0))); } #[test] fn marquee() { let p = shapes::ellipse(Rect::new(0.0, 0.0, 10.0, 10.0)); assert!(intersects_rect(&p, Rect::new(-1.0, 4.0, 1.0, 6.0))); assert!(!intersects_rect(&p, Rect::new(20.0, 20.0, 30.0, 30.0))); // corner region of the bbox that misses the ellipse outline assert!(!intersects_rect(&p, Rect::new(0.0, 0.0, 0.5, 0.5))); // fully inside assert!(intersects_rect(&p, Rect::new(4.0, 4.0, 6.0, 6.0))); // crossing a line let l = shapes::line(Point::new(0.0, 0.0), Point::new(10.0, 10.0)); assert!(intersects_rect(&l, Rect::new(4.0, 0.0, 6.0, 10.0))); } } #[cfg(test)] mod regress_tests { use super::*; use kurbo::{CubicBez, ParamCurve}; /// A cubic whose handles sit on its anchors on one side (cusp-like): points on the curve are /// at distance ~0 (proptest regression). #[test] fn nearest_on_degenerate_cubic() { let c = CubicBez::new( (131.69052599341336, 172.64518298885875), (104.00879084385166, 172.64518298885875), (145.71215277397286, 141.82358989609716), (131.4188160942415, 162.38678549385997), ); let mut bp = BezPath::new(); bp.move_to(c.p0); bp.curve_to(c.p1, c.p2, c.p3); let worst = (0..=200).map(|i| distance_to_outline(&bp, c.eval(i as f64 / 200.0))).fold(0.0, f64::max); assert!(worst < 1e-6, "{worst}"); } }