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vectorcraft/crates/pathops/tests/it/ops.rs
T
dotCooCoo 9ce1558c5e Simplify: a closed subpath whose refit is one curve stays in the path
A closed subpath that refits to a single curve has one anchor, which is
not a subpath, so Simplify dropped it: a small circle inside a compound
path was lost and the result ended hundreds of points from the original,
and a small closed path on its own came out empty. Such a subpath is now
refitted in two parts, cut at the point farthest from its start, or in
three when two parts would still enclose no area (two lines that retrace
each other with Convert to Straight Lines). A closed subpath of a single
segment stays as it is.
2026-11-11 08:21:15 -08:00

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use std::f64::consts::PI;
use kurbo::{ParamCurve, Point, Rect, Shape as _};
use vectorcraft_geom::{Anchor, AnchorKind, FillRule, PathData, SubPath};
use vectorcraft_pathops::*;
const NZ: FillRule = FillRule::NonZero;
fn rect(x: f64, y: f64, w: f64, h: f64) -> PathData {
PathData::from_bezpath(&Rect::new(x, y, x + w, y + h).to_path(1e-6))
}
fn circle(cx: f64, cy: f64, r: f64) -> PathData {
PathData::from_bezpath(&kurbo::Circle::new((cx, cy), r).to_path(1e-4))
}
fn ar(p: &PathData) -> f64 {
area(p, NZ)
}
fn close(a: f64, b: f64, rel: f64) -> bool {
(a - b).abs() <= rel * a.abs().max(b.abs()).max(1.0)
}
fn shape(p: PathData, key: u64) -> Shape {
Shape::new(p, NZ, key)
}
fn has_curves(p: &PathData) -> bool {
p.anchors().any(|(_, _, a)| a.has_in() || a.has_out())
}
#[test]
fn union_of_rects() {
let u = boolean(&rect(0.0, 0.0, 10.0, 10.0), NZ, &rect(5.0, 5.0, 10.0, 10.0), NZ, BoolOp::Union);
assert!(close(ar(&u), 175.0, 1e-9));
assert_eq!(u.subpaths.len(), 1);
assert_eq!(u.anchor_count(), 8);
}
#[test]
fn intersect_of_rects() {
let i = boolean(&rect(0.0, 0.0, 10.0, 10.0), NZ, &rect(5.0, 5.0, 10.0, 10.0), NZ, BoolOp::Intersect);
assert!(close(ar(&i), 25.0, 1e-9));
assert_eq!(i.anchor_count(), 4);
}
#[test]
fn difference_of_rects() {
let d = boolean(&rect(0.0, 0.0, 10.0, 10.0), NZ, &rect(5.0, 5.0, 10.0, 10.0), NZ, BoolOp::Difference);
assert!(close(ar(&d), 75.0, 1e-9));
assert_eq!(d.anchor_count(), 6);
}
#[test]
fn xor_of_rects() {
let x = boolean(&rect(0.0, 0.0, 10.0, 10.0), NZ, &rect(5.0, 5.0, 10.0, 10.0), NZ, BoolOp::Xor);
assert!(close(ar(&x), 150.0, 1e-9));
}
#[test]
fn disjoint_union_keeps_both() {
let u = boolean(&rect(0.0, 0.0, 1.0, 1.0), NZ, &rect(5.0, 5.0, 1.0, 1.0), NZ, BoolOp::Union);
assert_eq!(u.subpaths.len(), 2);
assert!(close(ar(&u), 2.0, 1e-9));
}
#[test]
fn a_minus_a_is_empty() {
let c = circle(3.0, 4.0, 7.0);
assert!(boolean(&c, NZ, &c, NZ, BoolOp::Difference).is_empty());
}
#[test]
fn union_idempotent_rect() {
let r = rect(1.0, 2.0, 3.0, 4.0);
let u = boolean(&r, NZ, &r, NZ, BoolOp::Union);
assert_eq!(u.anchor_count(), 4);
assert!(close(ar(&u), 12.0, 1e-9));
}
#[test]
fn circle_union_is_curve_preserving_and_compact() {
let u = boolean(&circle(0.0, 0.0, 10.0), NZ, &circle(10.0, 0.0, 10.0), NZ, BoolOp::Union);
assert!(has_curves(&u));
assert!(u.anchor_count() <= 12, "anchors: {}", u.anchor_count());
// Lens area: 2 r² acos(d/2r) − (d/2)√(4r² − d²)
let (r, d): (f64, f64) = (10.0, 10.0);
let lens = 2.0 * r * r * (d / (2.0 * r)).acos() - d / 2.0 * (4.0 * r * r - d * d).sqrt();
assert!(close(ar(&u), 2.0 * PI * r * r - lens, 1e-3));
}
#[test]
fn circle_intersect_rect_keeps_curve() {
let i = boolean(&circle(0.0, 0.0, 10.0), NZ, &rect(0.0, -20.0, 20.0, 40.0), NZ, BoolOp::Intersect);
assert!(has_curves(&i));
assert!(close(ar(&i), PI * 50.0, 1e-3));
assert!(i.anchor_count() <= 5, "anchors: {}", i.anchor_count());
}
#[test]
fn hole_from_difference() {
let d = boolean(&rect(0.0, 0.0, 10.0, 10.0), NZ, &rect(3.0, 3.0, 4.0, 4.0), NZ, BoolOp::Difference);
assert_eq!(d.subpaths.len(), 2);
assert!(close(ar(&d), 84.0, 1e-9));
// Consistently oriented: works with both fill rules.
assert!(close(area(&d, FillRule::EvenOdd), 84.0, 1e-9));
}
#[test]
fn fill_rules_differ_for_nested_same_direction() {
let mut p = rect(0.0, 0.0, 10.0, 10.0);
p.subpaths.extend(rect(3.0, 3.0, 4.0, 4.0).subpaths);
assert!(close(area(&p, FillRule::NonZero), 100.0, 1e-9));
assert!(close(area(&p, FillRule::EvenOdd), 84.0, 1e-9));
let u = boolean(&p, FillRule::EvenOdd, &rect(20.0, 0.0, 1.0, 1.0), NZ, BoolOp::Union);
assert!(close(ar(&u), 85.0, 1e-9));
}
#[test]
fn open_paths_are_closed_for_fill() {
let tri = PathData::single(SubPath::polyline(&[Point::new(0.0, 0.0), Point::new(10.0, 0.0), Point::new(0.0, 10.0)], false));
assert!(close(ar(&tri), 50.0, 1e-9));
}
#[test]
fn non_finite_input_errors() {
let bad = PathData::single(SubPath::polyline(&[Point::new(f64::NAN, 0.0), Point::new(1.0, 0.0), Point::new(0.0, 1.0)], true));
let r = try_boolean(&bad, NZ, &rect(0.0, 0.0, 1.0, 1.0), NZ, BoolOp::Union, DEFAULT_PRECISION);
assert_eq!(r, Err(PathOpsError::NonFinite));
}
#[test]
fn normalize_figure_eight() {
let p = PathData::single(SubPath::polyline(&[Point::new(0.0, 0.0), Point::new(10.0, 10.0), Point::new(10.0, 0.0), Point::new(0.0, 10.0)], true));
let n = normalize(&p, NZ);
assert_eq!(n.subpaths.len(), 2);
assert!(close(ar(&n), 50.0, 1e-9));
}
fn stack() -> Vec<Shape> {
vec![shape(rect(0.0, 0.0, 10.0, 10.0), 1), shape(rect(5.0, 5.0, 10.0, 10.0), 2)]
}
#[test]
fn pf_unite_takes_front_key() {
let r = pathfinder(PathfinderOp::Unite, &stack());
assert_eq!(r.len(), 1);
assert_eq!(r[0].key, 2);
assert!(close(ar(&r[0].path), 175.0, 1e-9));
}
#[test]
fn pf_minus_front_and_back() {
let r = pathfinder(PathfinderOp::MinusFront, &stack());
assert_eq!(r[0].key, 1);
assert!(close(ar(&r[0].path), 75.0, 1e-9));
let r = pathfinder(PathfinderOp::MinusBack, &stack());
assert_eq!(r[0].key, 2);
assert!(close(ar(&r[0].path), 75.0, 1e-9));
}
#[test]
fn pf_intersect_and_exclude_three() {
let s = vec![shape(rect(0.0, 0.0, 10.0, 10.0), 1), shape(rect(5.0, 0.0, 10.0, 10.0), 2), shape(rect(8.0, 0.0, 10.0, 10.0), 3)];
let i = pathfinder(PathfinderOp::Intersect, &s);
assert!(close(ar(&i[0].path), 20.0, 1e-9));
// Odd coverage: [0,5)=1, [5,8)=2, [8,10)=3, [10,15)=2, [15,18)=1 → 5+2+3 = 10 wide.
let x = pathfinder(PathfinderOp::Exclude, &s);
assert!(close(ar(&x[0].path), 100.0, 1e-9));
}
#[test]
fn pf_divide_faces() {
let r = pathfinder(PathfinderOp::Divide, &stack());
assert_eq!(r.len(), 3);
let total: f64 = r.iter().map(|s| ar(&s.path)).sum();
assert!(close(total, 175.0, 1e-9));
let overlap = r.iter().find(|s| close(ar(&s.path), 25.0, 1e-9)).unwrap();
assert_eq!(overlap.key, 2);
}
#[test]
fn pf_trim_removes_hidden() {
let r = pathfinder(PathfinderOp::Trim, &stack());
assert_eq!(r.len(), 2);
assert!(close(ar(&r[0].path), 75.0, 1e-9));
assert!(close(ar(&r[1].path), 100.0, 1e-9));
}
#[test]
fn pf_merge_same_key() {
let mut s = stack();
s[1].key = 1;
let r = pathfinder(PathfinderOp::Merge, &s);
assert_eq!(r.len(), 1);
assert!(close(ar(&r[0].path), 175.0, 1e-9));
let r = pathfinder(PathfinderOp::Merge, &stack());
assert_eq!(r.len(), 2);
}
#[test]
fn pf_crop() {
let s = vec![shape(rect(0.0, 0.0, 10.0, 10.0), 1), shape(rect(10.0, 0.0, 10.0, 10.0), 2), shape(rect(5.0, 0.0, 10.0, 5.0), 3)];
let r = pathfinder(PathfinderOp::Crop, &s);
assert_eq!(r.len(), 2);
assert!(r.iter().all(|x| close(ar(&x.path), 25.0, 1e-9)));
assert_eq!(r[0].key, 1);
}
#[test]
fn pf_outline_edges() {
let r = pathfinder(PathfinderOp::Outline, &stack());
assert_eq!(r.len(), 4, "{r:?}");
assert!(r.iter().all(|s| s.path.subpaths.iter().all(|sp| !sp.closed)));
let len: f64 = r.iter().map(|s| s.path.length()).sum();
assert!(close(len, 80.0, 1e-9));
}
/// #3870: a circle whose anchors sit on the square's edge it crosses gives the four edges of the
/// arrangement, meeting at those anchors, and no sliver between an anchor and the crossing
/// computed a hair from it.
#[test]
fn pf_outline_has_no_sliver_where_an_anchor_is_the_crossing() {
let s = vec![shape(rect(0.0, 0.0, 100.0, 100.0), 1), shape(circle(100.0, 100.0, 50.0), 2)];
let r = pathfinder(PathfinderOp::Outline, &s);
assert_eq!(r.len(), 4, "{r:?}");
assert!(r.iter().all(|s| s.path.length() > 1.0), "no sliver: {r:?}");
}
#[test]
fn pf_outline_dedups_shared_edges() {
// Two squares sharing an edge exactly.
let s = vec![shape(rect(0.0, 0.0, 10.0, 10.0), 1), shape(rect(10.0, 0.0, 10.0, 10.0), 2)];
let r = pathfinder(PathfinderOp::Outline, &s);
let len: f64 = r.iter().map(|s| s.path.length()).sum();
assert!(close(len, 70.0, 1e-9), "len {len}");
}
#[test]
fn regions_and_region_at() {
let s = stack();
let rs = regions(&s);
assert_eq!(rs.len(), 3);
let hit = region_at(&s, Point::new(7.0, 7.0)).unwrap();
assert_eq!(hit.sources, vec![0, 1]);
assert!(close(ar(&hit.path), 25.0, 1e-9));
assert!(region_at(&s, Point::new(100.0, 100.0)).is_none());
let refs: Vec<&Region> = rs.iter().collect();
assert!(close(ar(&merge_regions(&refs)), 175.0, 1e-9));
}
#[test]
fn regions_split_an_island_inside_a_hole_from_the_frame_around_it() {
// A frame (0..200 minus 50..150) with an island (80..120) in its hole, as Minus Front leaves
// a rectangle behind a ring (#3132): the frame and the island are separate faces.
let mut p = rect(0.0, 0.0, 200.0, 200.0);
p.subpaths.extend(rect(50.0, 50.0, 100.0, 100.0).subpaths);
p.subpaths.extend(rect(80.0, 80.0, 40.0, 40.0).subpaths);
let s = vec![Shape::new(p, FillRule::EvenOdd, 1)];
let rs = regions(&s);
let mut filled: Vec<(f64, Rect)> = rs.iter().filter(|r| r.sources == vec![0]).map(|r| (ar(&r.path).abs(), r.path.bounds().unwrap())).collect();
filled.sort_by(|a, b| b.0.total_cmp(&a.0));
assert_eq!(filled.len(), 2, "{filled:?}");
assert!(close(filled[0].0, 30000.0, 1e-9), "{filled:?}");
assert_eq!(filled[0].1, Rect::new(0.0, 0.0, 200.0, 200.0));
assert!(close(filled[1].0, 1600.0, 1e-9), "{filled:?}");
assert_eq!(filled[1].1, Rect::new(80.0, 80.0, 120.0, 120.0));
let frame = region_at(&s, Point::new(10.0, 10.0)).unwrap();
assert!(!frame.contains(Point::new(100.0, 100.0)));
}
#[test]
fn offset_circle_grows() {
let o = offset_path(&circle(0.0, 0.0, 10.0), 3.0, Join::Round, 4.0);
assert!(close(ar(&o), PI * 169.0, 2e-3), "{}", ar(&o));
assert!(o.anchor_count() <= 16, "anchors {}", o.anchor_count());
}
#[test]
fn offset_circle_insets() {
let o = offset_path(&circle(0.0, 0.0, 10.0), -4.0, Join::Round, 4.0);
assert!(close(ar(&o), PI * 36.0, 2e-3), "{}", ar(&o));
}
#[test]
fn offset_rect_joins() {
let r = rect(0.0, 0.0, 20.0, 10.0);
assert!(close(ar(&offset_path(&r, 2.0, Join::Miter, 4.0)), 24.0 * 14.0, 1e-6));
assert_eq!(offset_path(&r, 2.0, Join::Miter, 4.0).anchor_count(), 4);
assert!(close(ar(&offset_path(&r, 2.0, Join::Bevel, 4.0)), 24.0 * 14.0 - 4.0 * 2.0, 1e-6));
assert!(close(ar(&offset_path(&r, 2.0, Join::Round, 4.0)), 200.0 + 2.0 * 2.0 * 30.0 + PI * 4.0, 1e-3));
assert!(close(ar(&offset_path(&r, -2.0, Join::Miter, 4.0)), 16.0 * 6.0, 1e-6));
assert!(offset_path(&r, -6.0, Join::Miter, 4.0).is_empty());
}
#[test]
fn offset_of_an_open_path_whose_ends_meet_is_the_closed_shape_offset() {
// Issue #3773: an open path whose last anchor sits on its first offsets like the closed shape,
// not as a ring around its outline.
let corners = [Point::new(0.0, 0.0), Point::new(20.0, 0.0), Point::new(20.0, 10.0), Point::new(0.0, 10.0), Point::new(0.0, 0.0)];
let r = PathData::single(SubPath::polyline(&corners, false));
let grown = offset_path(&r, 2.0, Join::Miter, 4.0);
assert!(close(ar(&grown), 24.0 * 14.0, 1e-6), "{}", ar(&grown));
assert_eq!(grown.subpaths.len(), 1);
assert_eq!(grown.anchor_count(), 4);
assert!(close(ar(&offset_path(&r, -2.0, Join::Miter, 4.0)), 16.0 * 6.0, 1e-6));
// A curved outline: the last anchor's in-handle shapes the closing curve.
let mut sp = circle(0.0, 0.0, 10.0).subpaths.remove(0);
let first = sp.anchors[0];
sp.anchors.push(vectorcraft_geom::Anchor::with_handles(first.p, first.h_in, first.p));
sp.anchors[0].h_in = first.p;
sp.closed = false;
let o = offset_path(&PathData::single(sp), 3.0, Join::Round, 4.0);
assert!(close(ar(&o), PI * 169.0, 2e-3), "{}", ar(&o));
assert_eq!(o.subpaths.len(), 1);
}
#[test]
fn outline_stroke_of_line() {
let l = PathData::single(SubPath::polyline(&[Point::new(0.0, 0.0), Point::new(30.0, 40.0)], false));
let o = outline_stroke(&l, 4.0, Cap::Butt, Join::Miter, 4.0);
assert!(close(ar(&o), 200.0, 1e-6));
let o = outline_stroke(&l, 4.0, Cap::Square, Join::Miter, 4.0);
assert!(close(ar(&o), 216.0, 1e-6));
}
#[test]
fn outline_stroke_of_straight_line_with_round_caps_is_compact() {
let l = PathData::single(SubPath::polyline(&[Point::new(0.0, 50.0), Point::new(100.0, 50.0)], false));
let o = outline_stroke(&l, 10.0, Cap::Round, Join::Round, 4.0);
assert!(close(ar(&o), 100.0 * 10.0 + PI * 5.0 * 5.0, 1e-3), "{}", ar(&o));
let anchors = o.subpaths.iter().map(|s| s.anchors.len()).sum::<usize>();
assert!(anchors <= 8, "round-cap expand should stay compact, got {anchors} anchors");
let dense: Vec<Point> = (0..=20).map(|i| Point::new(i as f64 * 5.0, 50.0)).collect();
let dense_path = PathData::single(SubPath::polyline(&dense, false));
let dense_o = outline_stroke(&dense_path, 10.0, Cap::Round, Join::Round, 4.0);
let dense_anchors = dense_o.subpaths.iter().map(|s| s.anchors.len()).sum::<usize>();
assert_eq!(dense_anchors, anchors, "colinear spine points should not add outline anchors");
}
#[test]
fn outline_stroke_of_square_is_ring() {
let o = outline_stroke(&rect(0.0, 0.0, 10.0, 10.0), 2.0, Cap::Butt, Join::Miter, 10.0);
assert_eq!(o.subpaths.len(), 2);
assert!(close(ar(&o), 144.0 - 64.0, 1e-6));
}
#[test]
fn outline_stroke_self_overlap_is_cleaned() {
// A zig-zag whose stroke overlaps itself at the joins.
let z = PathData::single(SubPath::polyline(&[Point::new(0.0, 0.0), Point::new(10.0, 0.0), Point::new(0.0, 1.0), Point::new(10.0, 2.0)], false));
let o = outline_stroke(&z, 3.0, Cap::Round, Join::Round, 4.0);
assert!(!o.is_empty());
// Normalised output: its signed area equals its fill area.
let signed: f64 = o.subpaths.iter().map(|s| s.area()).sum::<f64>().abs();
assert!(close(signed, ar(&o), 1e-6));
}
fn dense_circle(r: f64, n: usize) -> PathData {
let pts: Vec<Point> =
(0..n).map(|i| Point::new(r * (i as f64 / n as f64 * 2.0 * PI).cos(), r * (i as f64 / n as f64 * 2.0 * PI).sin())).collect();
PathData::single(SubPath::polyline(&pts, true))
}
fn max_deviation(orig: &PathData, simp: &PathData) -> f64 {
let bp = orig.to_bezpath();
let mut worst: f64 = 0.0;
for seg in bp.segments() {
for i in 0..=8 {
let p = seg.eval(i as f64 / 8.0);
worst = worst.max(simp.nearest(p).unwrap().4);
}
}
worst
}
#[test]
fn simplify_dense_circle() {
let c = dense_circle(50.0, 200);
let s = simplify(&c, 0.5);
assert!(s.anchor_count() <= 12, "anchors {}", s.anchor_count());
assert!(max_deviation(&c, &s) <= 0.5 + 1e-6);
assert!(s.subpaths[0].closed);
}
#[test]
fn simplify_keeps_square_corners() {
let mut pts = Vec::new();
for (a, b) in [((0.0, 0.0), (10.0, 0.0)), ((10.0, 0.0), (10.0, 10.0)), ((10.0, 10.0), (0.0, 10.0)), ((0.0, 10.0), (0.0, 0.0))] {
for i in 0..5 {
let t = i as f64 / 5.0;
pts.push(Point::new(a.0 + (b.0 - a.0) * t, a.1 + (b.1 - a.1) * t));
}
}
let sq = PathData::single(SubPath::polyline(&pts, true));
let s = simplify(&sq, 0.1);
assert_eq!(s.anchor_count(), 4);
assert!(!has_curves(&s));
}
#[test]
fn simplify_straight_lines_option() {
let c = dense_circle(50.0, 200);
let s = simplify_with(&c, &SimplifyOptions { tolerance: 1.0, straight_lines: true, ..Default::default() });
assert!(!has_curves(&s));
assert!(s.anchor_count() < 40);
assert!(max_deviation(&c, &s) <= 1.0 + 1e-6);
}
/// A closed subpath whose refit is one curve stays a closed subpath that encloses an area, in a
/// compound path and on its own, with curves and with Convert to Straight Lines.
#[test]
fn simplify_keeps_a_closed_subpath_that_refits_to_one_curve() {
let small = |cx: f64, cy: f64| circle(cx, cy, 2.0).subpaths.remove(0);
let square = rect(0.0, 0.0, 1000.0, 1000.0).subpaths.remove(0);
let compound = PathData::new(vec![square, small(500.0, 500.0)]);
let lone = PathData::single(small(0.0, 0.0));
// A straight edge and a curve that bows 2.25 pt from it.
let bow = PathData::single(SubPath::new(
vec![
Anchor::with_handles(Point::new(0.0, 0.0), Point::new(0.0, 3.0), Point::new(0.0, 0.0)),
Anchor::with_handles(Point::new(100.0, 0.0), Point::new(100.0, 0.0), Point::new(100.0, 3.0)),
],
true,
));
for straight_lines in [false, true] {
for tolerance in [4.0, 10.0, 32.0] {
let opts = SimplifyOptions { tolerance, straight_lines, ..Default::default() };
for path in [&compound, &lone, &bow] {
let s = simplify_with(path, &opts);
assert_eq!(s.subpaths.len(), path.subpaths.len(), "{tolerance} pt, straight lines {straight_lines}: {s:?}");
assert!(s.subpaths.iter().all(|sp| sp.closed && sp.anchors.len() >= 2 && sp.area().abs() > 1.0), "{s:?}");
assert!(max_deviation(path, &s) <= tolerance + 1e-6, "{tolerance} pt: {}", max_deviation(path, &s));
}
}
}
}
/// The Simplify slider's levels: 1 pt at 50, doubled for every 10 levels down and halved for every
/// 10 up; Auto-Simplify takes the lowest level whose tolerance is at most 1/400 of the size, and
/// level 100 for a size under 12.5 pt.
#[test]
fn simplify_levels_and_auto_simplify() {
assert_eq!(simplify_level_tolerance(SIMPLIFY_LEVEL), 1.0);
assert_eq!((simplify_level_tolerance(0.0), simplify_level_tolerance(100.0)), (32.0, 1.0 / 32.0));
assert_eq!((simplify_level_tolerance(-5.0), simplify_level_tolerance(500.0), simplify_level_tolerance(f64::NAN)), (32.0, 1.0 / 32.0, 1.0));
assert_eq!((auto_simplify_level(400.0), auto_simplify_level(100.0), auto_simplify_level(300.0)), (50.0, 70.0, 55.0));
assert!(simplify_level_tolerance(auto_simplify_level(300.0)) <= 300.0 / 400.0);
assert_eq!((auto_simplify_level(12.5), auto_simplify_level(10.0)), (100.0, 100.0));
assert_eq!((auto_simplify_level(0.0), auto_simplify_level(f64::INFINITY), auto_simplify_level(1e9)), (100.0, 100.0, 0.0));
}
#[test]
fn smooth_rounds_corners() {
let s = smooth(&rect(0.0, 0.0, 10.0, 10.0), 1.0);
assert!(s.anchors().all(|(_, _, a)| a.has_in() && a.has_out()));
let same = smooth(&rect(0.0, 0.0, 10.0, 10.0), 0.0);
assert_eq!(same, rect(0.0, 0.0, 10.0, 10.0));
}
/// Object › Path › Smooth: a rectangle, whose corners no curve rounds within the tolerance, stays as
/// it is even at maximum smoothing; a polygon of 16 sides becomes a closed curve of fewer anchors once the tolerance
/// passes its 0.96 pt sagitta, smooth all round.
#[test]
fn smooth_level_keeps_corners_it_cannot_round_and_curves_polygons() {
let r = rect(0.0, 0.0, 100.0, 50.0);
assert_eq!(smooth_level(&r, 100.0), r);
let pts: Vec<Point> = (0..16).map(|i| Point::new(50.0 * (f64::from(i) * PI / 8.0).cos(), 50.0 * (f64::from(i) * PI / 8.0).sin())).collect();
let polygon = PathData::single(SubPath::polyline(&pts, true));
let s = smooth_level(&polygon, SMOOTH_AUTO_LEVEL);
assert!(s.subpaths.len() == 1 && s.subpaths[0].closed && s.anchor_count() < 8, "{}", s.anchor_count());
assert!(s.subpaths[0].anchors.iter().all(|a| a.kind == AnchorKind::Smooth), "no kink, its start included: {s:?}");
assert_eq!(smooth_level(&polygon, 0.0), polygon, "0.1 pt is less than the sagitta");
}
/// The largest distance from a point of `a` to `b` (sampled on `a`, exact on `b`).
fn one_way_distance(a: &PathData, b: &PathData) -> f64 {
use kurbo::ParamCurveNearest;
let mut worst = 0.0_f64;
for sa in &a.subpaths {
for i in 0..sa.segment_count() {
let c = sa.segment(i);
for k in 0..=64 {
let q = c.eval(f64::from(k) / 64.0);
let d = b
.subpaths
.iter()
.flat_map(|sb| (0..sb.segment_count()).map(move |j| sb.segment(j).nearest(q, 1e-9).distance_sq))
.fold(f64::INFINITY, f64::min);
worst = worst.max(d.sqrt());
}
}
}
worst
}
/// Object › Path › Smooth at level 0 keeps a closed path within 0.1 % of its longer side, a sharp
/// corner where the path starts included (a drop with a 90° tip at its first anchor).
#[test]
fn smooth_level_0_keeps_a_closed_paths_start_corner_within_tolerance() {
let n = 24;
let step = 1.5 * PI / f64::from(n);
let at = |t: f64| {
let (r, dr) = (100.0 * (2.0 * t / 3.0).sin(), 200.0 / 3.0 * (2.0 * t / 3.0).cos());
(Point::new(r * t.cos(), r * t.sin()), kurbo::Vec2::new(dr * t.cos() - r * t.sin(), dr * t.sin() + r * t.cos()))
};
let anchors = (0..n)
.map(|i| {
let (p, d_out) = at(f64::from(i) * step);
let d_in = if i == 0 { at(1.5 * PI).1 } else { d_out };
vectorcraft_geom::Anchor::with_handles(p, p - d_in * (step / 3.0), p + d_out * (step / 3.0))
})
.collect();
let p = PathData::single(SubPath::new(anchors, true));
let b = p.bounds().unwrap();
let limit = 0.001 * b.width().max(b.height());
let s = smooth_level(&p, 0.0);
let moved = one_way_distance(&p, &s).max(one_way_distance(&s, &p));
assert!(moved <= limit, "level 0 moved the path by {moved} pt, more than {limit} pt: {:?}", s.subpaths[0].anchors[0]);
}
#[test]
fn remove_redundant_collinear_and_curve() {
let p = PathData::single(SubPath::polyline(
&[Point::new(0.0, 0.0), Point::new(5.0, 0.0), Point::new(10.0, 0.0), Point::new(10.0, 10.0), Point::new(0.0, 10.0)],
true,
));
assert_eq!(remove_redundant_points(&p, 1e-6).anchor_count(), 4);
let c = add_anchor_points(&circle(0.0, 0.0, 10.0));
let n0 = c.anchor_count();
let r = remove_redundant_points(&c, 1e-3);
assert!(r.anchor_count() < n0, "{} vs {}", r.anchor_count(), n0);
assert!(close(ar(&r), ar(&c), 1e-4));
}
#[test]
fn add_anchor_points_doubles() {
let c = circle(0.0, 0.0, 10.0);
let a = add_anchor_points(&c);
assert_eq!(a.anchor_count(), 2 * c.anchor_count());
assert!(close(ar(&a), ar(&c), 1e-9));
let r = add_anchor_points(&rect(0.0, 0.0, 10.0, 10.0));
assert!(r.anchors().any(|(_, _, a)| a.p == Point::new(5.0, 0.0)));
}
/// The one-pass build gives what inserting a midpoint into each segment (last first) gives, open or closed.
#[test]
fn add_anchor_points_matches_inserting() {
let open = PathData::single(SubPath::new(circle(0.0, 0.0, 10.0).subpaths[0].anchors.clone(), false));
for src in [circle(0.0, 0.0, 10.0), rect(0.0, 0.0, 10.0, 10.0), open] {
let mut want = src.clone();
for sp in &mut want.subpaths {
for seg in (0..sp.segment_count()).rev() {
sp.insert_anchor(seg, 0.5);
}
}
assert_eq!(add_anchor_points(&src), want);
}
}
#[test]
fn average_axes() {
let p = PathData::single(SubPath::polyline(&[Point::new(0.0, 0.0), Point::new(10.0, 4.0), Point::new(5.0, 8.0)], false));
let h = average(&p, &[(0, 0), (0, 1)], AverageAxis::Horizontal);
assert_eq!(h.subpaths[0].anchors[0].p, Point::new(0.0, 2.0));
assert_eq!(h.subpaths[0].anchors[1].p, Point::new(10.0, 2.0));
let b = average(&p, &[(0, 0), (0, 1), (0, 2)], AverageAxis::Both);
assert!(b.subpaths[0].anchors.iter().all(|a| a.p.distance(Point::new(5.0, 4.0)) < 1e-12));
let v = average(&p, &[(0, 0), (0, 1)], AverageAxis::Vertical);
assert_eq!(v.subpaths[0].anchors[0].p.x, 5.0);
}
#[test]
fn join_two_open_paths() {
let a = PathData::single(SubPath::polyline(&[Point::new(0.0, 0.0), Point::new(10.0, 0.0)], false));
let b = PathData::single(SubPath::polyline(&[Point::new(20.0, 5.0), Point::new(10.0, 0.0)], false));
let j = join(&[a.clone(), b], 1e-6);
assert_eq!(j.subpaths.len(), 1);
assert_eq!(j.anchor_count(), 3);
assert!(!j.subpaths[0].closed);
let c = PathData::single(SubPath::polyline(&[Point::new(12.0, 0.0), Point::new(20.0, 0.0)], false));
let j = join(&[a, c], 1e-6);
assert_eq!(j.anchor_count(), 4);
}
#[test]
fn join_single_path_closes() {
let a = PathData::single(SubPath::polyline(&[Point::new(0.0, 0.0), Point::new(10.0, 0.0), Point::new(5.0, 5.0)], false));
let j = join(&[a], 1e-6);
assert!(j.subpaths[0].closed);
assert_eq!(j.anchor_count(), 3);
let b = PathData::single(SubPath::polyline(&[Point::new(0.0, 0.0), Point::new(10.0, 0.0), Point::new(5.0, 5.0), Point::new(0.0, 0.0)], false));
assert_eq!(join(&[b], 1e-6).anchor_count(), 3);
}
#[test]
fn grid_split() {
let g = split_into_grid(Rect::new(0.0, 0.0, 100.0, 50.0), 2, 3, (7.0, 5.0));
assert_eq!(g.len(), 6);
let w = (100.0 - 10.0) / 3.0;
let h = (50.0 - 7.0) / 2.0;
assert!(g.iter().all(|c| close(ar(c), w * h, 1e-9)));
assert_eq!(g[5].bounds().unwrap().x1, 100.0);
assert!(split_into_grid(Rect::new(0.0, 0.0, 10.0, 10.0), 0, 3, (1.0, 1.0)).is_empty());
assert!(split_into_grid(Rect::new(0.0, 0.0, 10.0, f64::NAN), 2, 3, (1.0, 1.0)).is_empty());
}
#[test]
#[ignore]
fn timing_unite_1000_circles() {
let mut seed = 0x1234_5678_u64;
let mut rnd = || {
seed ^= seed << 13;
seed ^= seed >> 7;
seed ^= seed << 17;
(seed % 1_000_000) as f64 / 1_000_000.0
};
let circles: Vec<Shape> = (0..1000).map(|i| shape(circle(rnd() * 1000.0, rnd() * 1000.0, 5.0 + rnd() * 30.0), i)).collect();
let t = std::time::Instant::now();
let r = pathfinder(PathfinderOp::Unite, &circles);
println!("unite 1000 circles: {} ms, {} anchors", t.elapsed().as_millis(), r[0].path.anchor_count());
assert!(!r.is_empty());
}
#[test]
fn remove_anchor_refits_the_curve_round_it() {
use vectorcraft_geom::Anchor;
let (p0, p3) = (Point::new(0.0, 0.0), Point::new(100.0, 0.0));
let original =
SubPath::new(vec![Anchor::with_handles(p0, p0, Point::new(30.0, 80.0)), Anchor::with_handles(p3, Point::new(70.0, 80.0), p3)], false);
let mut sp = original.clone();
let i = sp.insert_anchor(0, 0.4);
assert!(remove_anchor(&mut sp, i));
assert_eq!(sp.anchors.len(), 2);
assert!(sp.anchors[0].h_out.distance(original.anchors[0].h_out) < 0.5, "{:?}", sp.anchors[0].h_out);
assert!(sp.anchors[1].h_in.distance(original.anchors[1].h_in) < 0.5, "{:?}", sp.anchors[1].h_in);
// A circle stays closed and round with one anchor fewer.
let mut c = circle(0.0, 0.0, 50.0).subpaths.remove(0);
let n = c.anchors.len();
assert!(remove_anchor(&mut c, 1));
assert!(c.closed && c.anchors.len() == n - 1);
let a = ar(&PathData::single(c));
assert!(close(a, PI * 2500.0, 0.03), "{a}");
}
#[test]
fn remove_anchor_between_straight_sides_draws_a_straight_one() {
let mut sp = rect(0.0, 0.0, 100.0, 80.0).subpaths.remove(0);
let n = sp.anchors.len();
assert!(remove_anchor(&mut sp, 0));
assert!(sp.closed && sp.anchors.len() == n - 1);
assert!(!sp.anchors.iter().any(|a| a.has_in() || a.has_out()), "{sp:?}");
let mut line = SubPath::polyline(&[Point::new(0.0, 0.0), Point::new(40.0, 30.0), Point::new(100.0, 0.0)], false);
assert!(remove_anchor(&mut line, 1));
assert!(line.anchors.len() == 2 && line.segment_is_line(0));
}
#[test]
fn remove_anchor_at_an_end_drops_its_segment_and_rejects_bad_input() {
let mut sp = SubPath::polyline(&[Point::new(0.0, 0.0), Point::new(10.0, 0.0), Point::new(20.0, 5.0)], false);
assert!(!remove_anchor(&mut sp, 3));
assert!(remove_anchor(&mut sp, 0));
assert_eq!(sp.anchors[0].p, Point::new(10.0, 0.0));
// Non-finite points never panic.
let mut bad = SubPath::polyline(&[Point::new(0.0, 0.0), Point::new(f64::NAN, 1.0), Point::new(f64::INFINITY, 0.0)], false);
bad.anchors[0].h_out = Point::new(5.0, f64::NAN);
assert!(remove_anchor(&mut bad, 1));
assert_eq!(bad.anchors.len(), 2);
}