410 lines
19 KiB
Rust
410 lines
19 KiB
Rust
use std::f64::consts::PI;
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use super::*;
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use crate::{MAX_BEZIER_CTRL, bezier};
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const TOL: f64 = 1e-6;
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fn empty(plane: Plane) -> SectionGeometry {
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SectionGeometry { plane, curves: vec![], wires: vec![], regions: vec![], contacts: vec![] }
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}
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fn analytic(geometry: Seg2) -> SectionCurve {
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SectionCurve { geometry, accuracy: CurveAccuracy::Analytic }
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}
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fn used(curve: u32, forward: bool) -> CurveUse {
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CurveUse { curve, forward }
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}
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fn plate() -> SectionGeometry {
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let p = Vec2::new;
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SectionGeometry {
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plane: Plane::XY.offset(10.0),
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curves: vec![
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// Deliberately stored backwards: the wire's use restores the CCW rectangle.
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analytic(Seg2::Line { a: p(100.0, 0.0), b: p(0.0, 0.0) }),
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analytic(Seg2::Line { a: p(100.0, 0.0), b: p(100.0, 60.0) }),
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analytic(Seg2::Line { a: p(100.0, 60.0), b: p(0.0, 60.0) }),
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analytic(Seg2::Line { a: p(0.0, 60.0), b: p(0.0, 0.0) }),
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analytic(Seg2::Arc { center: p(50.0, 30.0), radius: 5.0, start: 0.0, sweep: PI }),
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analytic(Seg2::Arc { center: p(50.0, 30.0), radius: 5.0, start: PI, sweep: PI }),
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],
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wires: vec![
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SectionWire { curves: vec![used(0, false), used(1, true), used(2, true), used(3, true)], closed: true },
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SectionWire { curves: vec![used(5, false), used(4, false)], closed: true },
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],
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regions: vec![SectionRegion { outer: 0, holes: vec![1] }],
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contacts: vec![],
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}
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}
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#[test]
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fn section_frame_preserves_named_translated_tilted_offset_and_flip_conventions() {
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for plane in [Plane::XY, Plane::XZ, Plane::YZ] {
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validate_plane(&plane).unwrap();
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}
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assert_eq!(Plane::XZ.normal(), Vec3::Y);
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assert_eq!(Plane::XZ.to_world(Vec2::new(3.0, 4.0)), Vec3::new(3.0, 0.0, -4.0));
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let plane = Plane::from_normal(Vec3::new(13.0, -7.0, 19.0), Vec3::new(2.0, -3.0, 5.0)).unwrap();
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validate_plane(&plane).unwrap();
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let local = Vec2::new(7.0, -11.0);
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let height = 4.5;
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let point = plane.to_world(local) + plane.normal() * height;
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assert!(plane.to_local(point).dist(local) < 1e-12);
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assert!((plane.height(point) - height).abs() < 1e-12);
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let moved = plane.offset(8.0);
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validate_plane(&moved).unwrap();
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assert!((plane.height(moved.origin) - 8.0).abs() < 1e-12);
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for about_y in [false, true] {
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let flipped = moved.flipped(about_y);
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validate_plane(&flipped).unwrap();
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assert_eq!(flipped.origin, moved.origin);
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assert_eq!(flipped.normal(), -moved.normal());
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assert_eq!(flipped.flipped(about_y), moved);
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let on_plane = moved.to_world(local);
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let mirrored = if about_y { Vec2::new(-local.x, local.y) } else { Vec2::new(local.x, -local.y) };
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assert!(flipped.to_local(on_plane).dist(mirrored) < 1e-12);
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assert!((flipped.height(point) + moved.height(point)).abs() < 1e-12);
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}
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}
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#[test]
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fn strict_frame_validation_does_not_repair_raw_or_deserialized_axes() {
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let bad = Plane { x: Vec3::X * 2.0, ..Plane::XY };
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assert!(Plane::new(bad.origin, bad.x, bad.y).is_some());
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assert_eq!(validate_plane(&bad), Err(Invalid("nonorthonormal plane")));
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assert_eq!(bad.x, Vec3::X * 2.0);
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let restored: Plane = serde_json::from_value(serde_json::json!({
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"origin": [0, 0, 0], "x_dir": [1, 0, 0], "y_dir": [1, 1, 0]
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}))
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.unwrap();
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assert_eq!(validate_plane(&restored), Err(Invalid("nonorthonormal plane")));
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for plane in [
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Plane { origin: Vec3::new(f64::NAN, 0.0, 0.0), ..Plane::XY },
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Plane { origin: Vec3::new(1e12 + 1.0, 0.0, 0.0), ..Plane::XY },
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Plane { x: Vec3::new(f64::MAX, 0.0, 0.0), ..Plane::XY },
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Plane { y: Vec3::new(0.0, f64::INFINITY, 0.0), ..Plane::XY },
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Plane { x: Vec3::ZERO, ..Plane::XY },
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Plane { y: Vec3::X, ..Plane::XY },
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] {
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assert!(validate_plane(&plane).is_err());
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}
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validate_plane(&Plane { origin: Vec3::new(1e12, -1e12, 1e12), ..Plane::XY }).unwrap();
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}
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#[test]
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fn line_arc_region_conversion_preserves_winding_and_analytic_area() {
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let section = plate();
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let before = section.clone();
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section.validate_structure(TOL).unwrap();
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let outer = section.to_loop(0, TOL).unwrap();
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let hole = section.to_loop(1, TOL).unwrap();
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assert!(outer.is_closed(TOL) && hole.is_closed(TOL));
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assert!((outer.signed_area() - 6000.0).abs() < 1e-10);
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assert!((hole.signed_area() + 25.0 * PI).abs() < 1e-10);
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let region = section.to_region(0, TOL).unwrap();
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assert_eq!(region.outer, outer);
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assert_eq!(region.holes, vec![hole]);
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assert!((region.area() - (6000.0 - 25.0 * PI)).abs() < 1e-10);
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assert_eq!(section, before);
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}
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#[test]
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fn empty_contacts_and_open_wires_remain_distinct_without_inferred_material() {
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let empty = empty(Plane::XY);
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empty.validate_structure(TOL).unwrap();
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assert_eq!(empty.to_region(0, TOL), Err(Invalid("region reference")));
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let mut contact = empty.clone();
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contact.contacts.push(Vec2::new(2.0, 3.0));
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contact.validate_structure(TOL).unwrap();
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assert_ne!(contact, empty);
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let mut open = empty.clone();
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open.curves = vec![analytic(Seg2::Line { a: Vec2::ZERO, b: Vec2::X }), analytic(Seg2::Line { a: Vec2::X, b: Vec2::new(1.0, 1.0) })];
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open.wires = vec![SectionWire { curves: vec![used(0, true), used(1, true)], closed: false }];
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open.validate_structure(TOL).unwrap();
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assert_eq!(open.to_loop(0, TOL), Err(Invalid("wire is not closed")));
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open.regions.push(SectionRegion { outer: 0, holes: vec![] });
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assert_eq!(open.validate_structure(TOL), Err(Invalid("region boundary is not closed")));
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// Even a geometrically closed chain remains explicitly open when the producer says so.
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let mut declared_open = plate();
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declared_open.regions.clear();
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declared_open.wires[0].closed = false;
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declared_open.validate_structure(TOL).unwrap();
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assert_eq!(declared_open.to_loop(0, TOL), Err(Invalid("wire is not closed")));
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}
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#[test]
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fn bad_references_empty_disconnected_and_unclosed_wires_fail() {
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let mut section = plate();
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section.wires[0].curves[0].curve = u32::MAX;
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assert_eq!(section.validate_structure(TOL), Err(Invalid("curve reference")));
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let mut section = plate();
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section.wires[0].curves.clear();
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assert_eq!(section.validate_structure(TOL), Err(Invalid("empty wire")));
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let mut section = plate();
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section.wires[0].curves[1].forward = false;
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assert_eq!(section.validate_structure(TOL), Err(Invalid("disconnected wire")));
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let mut section = plate();
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section.wires[0].curves.pop();
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assert_eq!(section.validate_structure(TOL), Err(Invalid("open closed wire")));
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let mut section = plate();
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section.regions[0].outer = u32::MAX;
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assert_eq!(section.validate_structure(TOL), Err(Invalid("wire reference")));
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let mut section = plate();
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section.regions[0].holes[0] = u32::MAX;
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assert_eq!(section.validate_structure(TOL), Err(Invalid("wire reference")));
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assert_eq!(plate().to_loop(u32::MAX, TOL), Err(Invalid("wire reference")));
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assert_eq!(plate().to_region(u32::MAX, TOL), Err(Invalid("region reference")));
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}
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#[test]
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fn duplicate_boundaries_are_local_to_a_region_and_large_reference_tables_are_bounded() {
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let mut section = plate();
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section.regions[0].holes.push(1);
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assert_eq!(section.validate_structure(TOL), Err(Invalid("duplicate region boundary")));
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let mut section = plate();
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section.regions[0].holes.push(0);
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assert_eq!(section.validate_structure(TOL), Err(Invalid("duplicate region boundary")));
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let mut section = plate();
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section.regions.push(section.regions[0].clone());
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section.validate_structure(TOL).unwrap();
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assert_eq!(section.to_region(0, TOL).unwrap(), section.to_region(1, TOL).unwrap());
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// Deliberately coincident boundaries: this tests a large legal reference graph, not material.
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let mut many = empty(Plane::XY);
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many.curves.push(analytic(Seg2::Arc { center: Vec2::ZERO, radius: 1.0, start: 0.0, sweep: TAU }));
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many.wires = vec![SectionWire { curves: vec![used(0, true)], closed: true }; 201];
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many.regions = vec![SectionRegion { outer: 0, holes: (1..=200).collect() }; 200];
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many.validate_structure(TOL).unwrap();
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let last = many.regions.last_mut().unwrap();
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*last.holes.last_mut().unwrap() = 1;
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assert_eq!(many.validate_structure(TOL), Err(Invalid("duplicate region boundary")));
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}
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#[test]
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fn aggregate_counts_fail_before_geometry_or_reference_inspection() {
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let mut section = empty(Plane::XY);
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section.contacts = vec![Vec2::new(f64::NAN, 0.0); MAX_ITEMS + 1];
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assert_eq!(section.validate_structure(TOL), Err(Invalid("item budget")));
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let mut section = empty(Plane::XY);
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section.wires.push(SectionWire { curves: vec![used(u32::MAX, false); MAX_ITEMS], closed: false });
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assert_eq!(section.validate_structure(TOL), Err(Invalid("item budget")));
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let mut section = empty(Plane::XY);
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section.regions.push(SectionRegion { outer: u32::MAX, holes: vec![u32::MAX; MAX_ITEMS] });
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assert_eq!(section.validate_structure(TOL), Err(Invalid("item budget")));
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let mut section = empty(Plane::XY);
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section.contacts = vec![Vec2::ZERO; MAX_ITEMS / 2];
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section.wires.push(SectionWire { curves: vec![used(u32::MAX, false); MAX_ITEMS / 2], closed: false });
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assert_eq!(section.validate_structure(TOL), Err(Invalid("item budget")));
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// Exactly the item limit is accepted, independently of these points' material meaning.
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let mut boundary = empty(Plane::XY);
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boundary.contacts = vec![Vec2::ZERO; MAX_ITEMS];
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boundary.validate_structure(TOL).unwrap();
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let mut count = Budget(MAX_ITEMS);
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assert_eq!(count.add(usize::MAX), Err(Invalid("item budget")));
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}
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#[test]
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fn closure_tolerance_is_bounded_and_not_used_to_collapse_short_curves() {
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for tolerance in [f64::NAN, f64::INFINITY, -1.0, 0.0, 1e-10, 1.01] {
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assert!(plate().validate_structure(tolerance).is_err());
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}
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for tolerance in [1e-9, 1.0] {
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plate().validate_structure(tolerance).unwrap();
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}
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let mut section = empty(Plane::XY);
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section.curves.push(analytic(Seg2::Line { a: Vec2::ZERO, b: Vec2::new(1e-10, 0.0) }));
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section.validate_structure(1.0).unwrap();
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let mut gap = plate();
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if let Seg2::Line { b, .. } = &mut gap.curves[3].geometry {
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b.x = 5e-7;
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}
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gap.validate_structure(1e-6).unwrap();
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assert_eq!(gap.validate_structure(1e-8), Err(Invalid("open closed wire")));
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}
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#[test]
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fn curve_number_and_domain_errors_are_rejected_before_evaluation() {
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let p = Vec2::new;
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let arc = |radius, start, sweep| Seg2::Arc { center: Vec2::ZERO, radius, start, sweep };
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let conic = |w| Seg2::Conic { a: Vec2::X, apex: p(1.0, 1.0), b: Vec2::Y, w };
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let invalid = [
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Seg2::Line { a: Vec2::ZERO, b: Vec2::ZERO },
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Seg2::Line { a: Vec2::ZERO, b: p(f64::NAN, 0.0) },
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Seg2::Line { a: Vec2::ZERO, b: p(f64::MAX, 0.0) },
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arc(-1.0, 0.0, PI),
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arc(0.0, 0.0, PI),
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arc(1e-13, 0.0, PI),
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arc(1e12 + 1.0, 0.0, PI),
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arc(f64::INFINITY, 0.0, PI),
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arc(1.0, f64::NAN, PI),
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arc(1.0, 1e6 + 1.0, PI),
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arc(1.0, 0.0, 0.0),
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arc(1.0, 0.0, 1e-13),
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arc(1.0, 0.0, TAU + 1e-8),
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arc(1.0, 0.0, f64::INFINITY),
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conic(-0.5),
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conic(0.0),
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conic(1e-13),
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conic(1e12 + 1.0),
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conic(f64::NAN),
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Seg2::Cubic { p0: Vec2::X, p1: Vec2::X, p2: Vec2::X, p3: Vec2::X },
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Seg2::Conic { a: Vec2::X, apex: Vec2::X, b: Vec2::X, w: 1.0 },
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];
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for geometry in invalid {
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let mut section = empty(Plane::XY);
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section.curves.push(analytic(geometry));
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assert!(section.validate_structure(TOL).is_err(), "accepted {geometry:?}");
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}
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let mut section = empty(Plane::XY);
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section.contacts.push(p(f64::INFINITY, 0.0));
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assert!(section.validate_structure(TOL).is_err());
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}
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#[test]
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fn bezier_degree_and_every_serialized_control_slot_are_validated() {
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for degree in [4u8, 9] {
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let mut p = [Vec2::ZERO; MAX_BEZIER_CTRL];
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for (i, point) in p.iter_mut().enumerate().take(usize::from(degree) + 1) {
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*point = Vec2::new(i as f64, (i % 2) as f64);
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}
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let mut section = empty(Plane::XY);
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section.curves.push(analytic(Seg2::Bezier { n: degree, p }));
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section.validate_structure(TOL).unwrap();
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for wrong in [0, 3, 10, u8::MAX] {
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section.curves[0].geometry = Seg2::Bezier { n: wrong, p };
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assert_eq!(section.validate_structure(TOL), Err(Invalid("Bezier degree")));
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}
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}
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let mut p = [Vec2::ZERO; MAX_BEZIER_CTRL];
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p[4] = Vec2::X;
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for value in [f64::NAN, f64::INFINITY, 1e12 + 1.0] {
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p[MAX_BEZIER_CTRL - 1] = Vec2::new(value, 0.0);
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let mut section = empty(Plane::XY);
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section.curves.push(analytic(Seg2::Bezier { n: 4, p }));
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assert_eq!(section.validate_structure(TOL), Err(Invalid("non-finite or excessive coordinate")));
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}
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let mut section = empty(Plane::XY);
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section.curves.push(analytic(Seg2::Bezier { n: 4, p: [Vec2::ZERO; MAX_BEZIER_CTRL] }));
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assert_eq!(section.validate_structure(TOL), Err(Invalid("collapsed curve")));
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}
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#[test]
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fn supported_curve_limits_keep_evaluation_finite_without_claiming_accuracy() {
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let p = Vec2::new;
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let mut section = empty(Plane::XY);
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section.curves = vec![
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analytic(Seg2::Line { a: p(-1e12, 1e12), b: p(1e12, -1e12) }),
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analytic(Seg2::Arc { center: p(1e12, 1e12), radius: 1e12, start: 1e6, sweep: -TAU }),
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analytic(Seg2::Arc { center: Vec2::ZERO, radius: 1e-12, start: 0.0, sweep: 1e-12 }),
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analytic(Seg2::Conic { a: p(-1e12, 0.0), apex: p(0.0, 1e12), b: p(1e12, 0.0), w: 1e12 }),
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analytic(Seg2::Conic { a: p(-1e12, 0.0), apex: p(0.0, 1e12), b: p(1e12, 0.0), w: 1e-12 }),
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analytic(bezier(&[p(0.0, 0.0), p(1e12, 0.0), p(0.0, 1e12), p(-1e12, 0.0)]).unwrap()),
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];
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let controls: Vec<Vec2> = (0..=9).map(|i| p(i as f64 * 1e11, if i % 2 == 0 { 1e12 } else { -1e12 })).collect();
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section.curves.push(analytic(bezier(&controls).unwrap()));
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section.validate_structure(TOL).unwrap();
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for curve in §ion.curves {
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for t in [0.0, 0.5, 1.0] {
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assert!(curve.geometry.point_at(t).is_finite());
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assert!(curve.geometry.derivative(t).is_finite());
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assert!(curve.geometry.derivatives(t, 4).is_some_and(|d| d.iter().all(|v| v.is_finite())));
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}
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}
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}
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#[test]
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fn transient_serialization_preserves_accuracy_tags_and_plane_names() {
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let mut section = plate();
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section.curves[1].accuracy = CurveAccuracy::Bounded { max_deviation_mm: 0.01 };
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section.curves[2].accuracy = CurveAccuracy::Sampled { max_sample_deviation_mm: 0.0 };
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section.validate_structure(TOL).unwrap();
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let value = serde_json::to_value(§ion).unwrap();
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assert!(value["plane"].get("x_dir").is_some());
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assert!(value["plane"].get("y_dir").is_some());
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assert_eq!(value["curves"][0]["accuracy"], serde_json::json!({"kind": "analytic"}));
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assert_eq!(value["curves"][1]["accuracy"], serde_json::json!({"kind": "bounded", "max_deviation_mm": 0.01}));
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assert_eq!(value["curves"][2]["accuracy"], serde_json::json!({"kind": "sampled", "max_sample_deviation_mm": 0.0}));
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let restored: SectionGeometry = serde_json::from_value(value.clone()).unwrap();
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restored.validate_structure(TOL).unwrap();
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assert_eq!(section, restored);
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let mut unknown = value;
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unknown["certificate"] = serde_json::json!(true);
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assert!(serde_json::from_value::<SectionGeometry>(unknown).is_err());
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assert!(serde_json::from_value::<CurveAccuracy>(serde_json::json!({"kind": "bounded", "max_deviation_mm": 0.1, "exact": true})).is_err());
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assert!(serde_json::from_value::<CurveAccuracy>(serde_json::json!({"kind": "exact"})).is_err());
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}
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#[test]
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fn accuracy_values_are_validated_without_promoting_zero_sampled_error() {
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for value in [f64::NAN, f64::INFINITY, -0.01, 1e12 + 1.0] {
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for accuracy in [CurveAccuracy::Bounded { max_deviation_mm: value }, CurveAccuracy::Sampled { max_sample_deviation_mm: value }] {
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let mut section = plate();
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section.curves[0].accuracy = accuracy;
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assert_eq!(section.validate_structure(TOL), Err(Invalid("accuracy deviation")));
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}
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}
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for value in [0.0, 1e12] {
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|
let mut section = plate();
|
|
section.curves[0].accuracy = CurveAccuracy::Sampled { max_sample_deviation_mm: value };
|
|
section.validate_structure(TOL).unwrap();
|
|
section.to_region(0, TOL).unwrap();
|
|
assert_eq!(section.curves[0].accuracy, CurveAccuracy::Sampled { max_sample_deviation_mm: value });
|
|
}
|
|
}
|
|
|
|
#[test]
|
|
fn conversion_revalidates_mutated_data_and_does_not_trust_an_earlier_success() {
|
|
let mut section = plate();
|
|
section.validate_structure(TOL).unwrap();
|
|
section.curves[0].geometry = Seg2::Line { a: Vec2::ZERO, b: Vec2::new(f64::NAN, 0.0) };
|
|
assert_eq!(section.to_loop(0, TOL), Err(Invalid("non-finite or excessive coordinate")));
|
|
assert_eq!(section.to_region(0, TOL), Err(Invalid("non-finite or excessive coordinate")));
|
|
let mut section = plate();
|
|
section.to_region(0, TOL).unwrap();
|
|
section.contacts = vec![Vec2::ZERO; MAX_ITEMS];
|
|
assert_eq!(section.to_region(0, TOL), Err(Invalid("item budget")));
|
|
}
|
|
|
|
#[test]
|
|
fn reversed_large_arc_conversion_rechecks_actual_connectivity_without_snapping() {
|
|
let arc = Seg2::Arc { center: Vec2::ZERO, radius: 1e12, start: 0.1, sweep: 1.0 };
|
|
let mut section = empty(Plane::XY);
|
|
section.curves = vec![analytic(arc), analytic(Seg2::Line { a: arc.start(), b: arc.end() })];
|
|
section.wires.push(SectionWire { curves: vec![used(0, false), used(1, true)], closed: true });
|
|
section.regions.push(SectionRegion { outer: 0, holes: vec![] });
|
|
let before = section.clone();
|
|
// Source endpoints coincide exactly, but (start + sweep) - sweep changes the reversed
|
|
// arc's endpoint by more than this tolerance at this radius.
|
|
section.validate_structure(1e-9).unwrap();
|
|
assert!(arc.reversed().end().dist(arc.start()) > 1e-9);
|
|
assert_eq!(section.to_loop(0, 1e-9), Err(Invalid("converted loop is not closed within tolerance")));
|
|
assert_eq!(section.to_region(0, 1e-9), Err(Invalid("converted loop is not closed within tolerance")));
|
|
assert_eq!(section, before);
|
|
// A caller's explicit larger tolerance can accept the same result without moving endpoints.
|
|
let converted = section.to_loop(0, 0.01).unwrap();
|
|
assert_eq!(converted.segs[0], arc.reversed());
|
|
assert!(converted.is_closed(0.01));
|
|
}
|
|
|
|
#[test]
|
|
fn connected_bow_tie_and_wrong_winding_are_not_certified_or_silently_repaired() {
|
|
let p = Vec2::new;
|
|
let loop_ = Loop2::polygon(&[p(0.0, 0.0), p(2.0, 2.0), p(0.0, 2.0), p(2.0, 0.0)]);
|
|
let mut bow = empty(Plane::XY);
|
|
bow.curves = loop_.segs.iter().copied().map(analytic).collect();
|
|
bow.wires.push(SectionWire { curves: (0..4).map(|i| used(i, true)).collect(), closed: true });
|
|
bow.regions.push(SectionRegion { outer: 0, holes: vec![] });
|
|
bow.validate_structure(TOL).unwrap();
|
|
assert_eq!(bow.to_loop(0, TOL).unwrap(), loop_);
|
|
// A successful structural check does not establish a material region, including its winding.
|
|
let mut reversed = plate();
|
|
reversed.wires[0].curves.reverse();
|
|
for use_ in &mut reversed.wires[0].curves {
|
|
use_.forward = !use_.forward;
|
|
}
|
|
reversed.validate_structure(TOL).unwrap();
|
|
let converted = reversed.to_region(0, TOL).unwrap();
|
|
assert!((converted.outer.signed_area() + 6000.0).abs() < 1e-10);
|
|
}
|