can build mesh from edge lists

Cargo.toml

@@ -26,6 +26,7 @@ glam = { version = "0.24", features = ["approx"] }
 smallvec = { version = "1.9", features = ["union", "const_generics"] }
 bvh2d = { version = "0.3", git = "https://github.com/mockersf/bvh2d" }
 serde = { version = "1.0", features = ["derive"], optional = true }
+spade = "2.2"
 
 [dev-dependencies]
 criterion = "0.5"
@@ -51,3 +52,7 @@ harness = false
 [[bench]]
 name = "baking"
 harness = false
+
+[[bench]]
+name = "triangulation"
+harness = false

benches/triangulation.rs

@@ -0,0 +1,141 @@
+use criterion::{black_box, criterion_group, criterion_main, Criterion};
+use glam::vec2;
+use polyanya::{Mesh, Triangulation};
+
+fn baking(c: &mut Criterion) {
+    c.bench_function(&"triangulation".to_string(), |b| {
+        b.iter(|| {
+            // Equivalent to the arena mesh
+            let mut triangulation = Triangulation::from_outer_edges(vec![
+                vec2(1., 3.),
+                vec2(2., 3.),
+                vec2(2., 2.),
+                vec2(3., 2.),
+                vec2(3., 1.),
+                vec2(15., 1.),
+                vec2(15., 3.),
+                vec2(18., 3.),
+                vec2(18., 2.),
+                vec2(19., 2.),
+                vec2(19., 1.),
+                vec2(20., 1.),
+                vec2(20., 2.),
+                vec2(23., 2.),
+                vec2(23., 1.),
+                vec2(26., 1.),
+                vec2(26., 3.),
+                vec2(29., 3.),
+                vec2(29., 2.),
+                vec2(30., 2.),
+                vec2(30., 1.),
+                vec2(31., 1.),
+                vec2(31., 3.),
+                vec2(34., 3.),
+                vec2(34., 2.),
+                vec2(35., 2.),
+                vec2(35., 1.),
+                vec2(47., 1.),
+                vec2(47., 3.),
+                vec2(48., 3.),
+                vec2(48., 15.),
+                vec2(47., 15.),
+                vec2(47., 18.),
+                vec2(48., 18.),
+                vec2(48., 31.),
+                vec2(47., 31.),
+                vec2(47., 35.),
+                vec2(48., 35.),
+                vec2(48., 47.),
+                vec2(47., 47.),
+                vec2(47., 48.),
+                vec2(35., 48.),
+                vec2(35., 47.),
+                vec2(31., 47.),
+                vec2(31., 48.),
+                vec2(30., 48.),
+                vec2(30., 47.),
+                vec2(29., 47.),
+                vec2(29., 46.),
+                vec2(26., 46.),
+                vec2(26., 48.),
+                vec2(24., 48.),
+                vec2(24., 47.),
+                vec2(23., 47.),
+                vec2(23., 46.),
+                vec2(20., 46.),
+                vec2(20., 48.),
+                vec2(19., 48.),
+                vec2(19., 47.),
+                vec2(15., 47.),
+                vec2(15., 48.),
+                vec2(3., 48.),
+                vec2(3., 47.),
+                vec2(1., 47.),
+                vec2(1., 35.),
+                vec2(2., 35.),
+                vec2(2., 34.),
+                vec2(3., 34.),
+                vec2(3., 31.),
+                vec2(1., 31.),
+                vec2(1., 30.),
+                vec2(3., 30.),
+                vec2(3., 27.),
+                vec2(2., 27.),
+                vec2(2., 26.),
+                vec2(1., 26.),
+                vec2(1., 23.),
+                vec2(2., 23.),
+                vec2(2., 18.),
+                vec2(3., 18.),
+                vec2(3., 15.),
+                vec2(1., 15.),
+            ]);
+
+            triangulation.add_obstacle(vec![
+                vec2(15., 15.),
+                vec2(19., 15.),
+                vec2(19., 18.),
+                vec2(18., 18.),
+                vec2(18., 19.),
+                vec2(15., 19.),
+            ]);
+            triangulation.add_obstacle(vec![
+                vec2(31., 15.),
+                vec2(35., 15.),
+                vec2(35., 18.),
+                vec2(34., 18.),
+                vec2(34., 19.),
+                vec2(31., 19.),
+            ]);
+            triangulation.add_obstacle(vec![
+                vec2(15., 31.),
+                vec2(19., 31.),
+                vec2(19., 34.),
+                vec2(18., 34.),
+                vec2(18., 35.),
+                vec2(15., 35.),
+            ]);
+            triangulation.add_obstacle(vec![
+                vec2(31., 31.),
+                vec2(35., 31.),
+                vec2(35., 34.),
+                vec2(34., 34.),
+                vec2(34., 35.),
+                vec2(31., 35.),
+            ]);
+            triangulation.add_obstacle(vec![
+                vec2(23., 10.),
+                vec2(23., 8.),
+                vec2(24., 8.),
+                vec2(24., 7.),
+                vec2(26., 7.),
+                vec2(26., 10.),
+            ]);
+            let mesh: Mesh = triangulation.into();
+            black_box(mesh);
+        })
+    });
+}
+
+criterion_group!(benches, baking);
+criterion_main!(benches);

src/input/mod.rs

@@ -1,2 +1,3 @@
 pub mod polyanya_file;
+pub mod triangulation;
 pub mod trimesh;

src/input/triangulation.rs

@@ -0,0 +1,165 @@
+use std::collections::VecDeque;
+
+use glam::{vec2, Vec2};
+use hashbrown::HashMap;
+use spade::{ConstrainedDelaunayTriangulation, Point2, Triangulation as SpadeTriangulation};
+
+use crate::{
+    helpers::{line_intersect_segment, Vec2Helper},
+    Mesh, Polygon, Vertex,
+};
+
+/// An helper to create a [`Mesh`] from a list of edges and obstacle, using a constrained Delaunay triangulation.
+#[derive(Debug)]
+pub struct Triangulation {
+    edges: Vec<Vec2>,
+    obstacles: Vec<Vec<Vec2>>,
+}
+
+impl Triangulation {
+    /// Create a new triangulation from a the list of points on its outer edges.
+    pub fn from_outer_edges(edges: Vec<Vec2>) -> Triangulation {
+        Self {
+            edges,
+            obstacles: Default::default(),
+        }
+    }
+
+    /// Add an obstacle delimited by the list of points on its edges.
+    pub fn add_obstacle(&mut self, edges: Vec<Vec2>) {
+        self.obstacles.push(edges);
+    }
+
+    #[inline]
+    fn add_constraint_edges(
+        cdt: &mut ConstrainedDelaunayTriangulation<Point2<f32>>,
+        edges: Vec<Vec2>,
+    ) -> (Vec<(Vec2, Vec2)>, (Vec2, Vec2)) {
+        let mut edge_iter = edges.iter().peekable();
+        let mut vertex_pairs = Vec::new();
+        let mut aabb_min = edges[0];
+        let mut aabb_max = edges[0];
+        loop {
+            let from = edge_iter.next().unwrap();
+            let next = edge_iter.peek();
+
+            aabb_min = aabb_min.min(*from);
+            aabb_max = aabb_max.max(*from);
+
+            if let Some(next) = next {
+                cdt.add_constraint_edge(
+                    Point2 {
+                        x: from.x,
+                        y: from.y,
+                    },
+                    Point2 {
+                        x: next.x,
+                        y: next.y,
+                    },
+                )
+                .unwrap();
+                vertex_pairs.push((*from, **next));
+            } else {
+                cdt.add_constraint_edge(
+                    Point2 {
+                        x: from.x,
+                        y: from.y,
+                    },
+                    Point2 {
+                        x: edges[0].x,
+                        y: edges[0].y,
+                    },
+                )
+                .unwrap();
+                vertex_pairs.push((*from, edges[0]));
+                break;
+            }
+        }
+
+        (vertex_pairs, (aabb_min, aabb_max))
+    }
+}
+
+impl From<Triangulation> for Mesh {
+    fn from(value: Triangulation) -> Self {
+        let mut cdt = ConstrainedDelaunayTriangulation::<Point2<f32>>::new();
+        let (outer_edges, aabb_outer) = Triangulation::add_constraint_edges(&mut cdt, value.edges);
+
+        let mut obstacles = vec![];
+        for obstacle in value.obstacles {
+            obstacles.push(Triangulation::add_constraint_edges(&mut cdt, obstacle));
+        }
+
+        let in_polygon = |point: Vec2, edges: &Vec<(Vec2, Vec2)>, aabb: (Vec2, Vec2)| {
+            if point.x < aabb.0.x || point.x > aabb.1.x || point.y < aabb.0.y || point.y > aabb.1.y
+            {
+                return false;
+            }
+            let mut parallel = 0;
+            let intersect = edges
+                .iter()
+                .filter(|edge| {
+                    let start = point;
+                    let far = point + vec2(0.0, aabb.1.y + 1.0);
+                    if edge.0.on_segment((start, far)) && edge.1.on_segment((start, far)) {
+                        parallel += 1;
+                    }
+                    line_intersect_segment((start, far), **edge)
+                        .map(|i| i.y > start.y)
+                        .unwrap_or(false)
+                })
+                .count();
+            (intersect - parallel) % 2 == 1
+        };
+
+        let mut face_to_polygon = HashMap::new();
+        let polygons = cdt
+            .inner_faces()
+            .filter_map(|face| {
+                let centre = face.center();
+                let centre = Vec2::new(centre.x, centre.y);
+                (in_polygon(centre, &outer_edges, aabb_outer)
+                    && obstacles
+                        .iter()
+                        .map(|(edges, aabb)| !in_polygon(centre, edges, *aabb))
+                        .all(|b| b))
+                .then(|| {
+                    face_to_polygon.insert(face.index(), face_to_polygon.len() as isize);
+                    Polygon::new(
+                        face.vertices()
+                            .iter()
+                            .map(|vhandle| vhandle.index() as u32)
+                            .collect(),
+                        false,
+                    )
+                })
+            })
+            .collect::<Vec<_>>();
+
+        let vertices = cdt
+            .vertices()
+            .map(|point| {
+                let mut point_polygons = point
+                    .out_edges()
+                    .map(|out_edge| {
+                        face_to_polygon
+                            .get(&out_edge.face().index())
+                            .cloned()
+                            .unwrap_or(-1)
+                    })
+                    .collect::<VecDeque<_>>();
+                while point_polygons[0] == -1 {
+                    point_polygons.rotate_left(1);
+                }
+                let mut point_polygons: Vec<_> = point_polygons.into();
+                point_polygons.dedup();
+                Vertex::new(
+                    Vec2::new(point.position().x, point.position().y),
+                    point_polygons,
+                )
+            })
+            .collect::<Vec<_>>();
+
+        Mesh::new(vertices, polygons)
+    }
+}

src/lib.rs

@@ -45,6 +45,7 @@ mod primitives;
 #[cfg(feature = "async")]
 pub use async_helpers::FuturePath;
 pub use input::polyanya_file::PolyanyaFile;
+pub use input::triangulation::Triangulation;
 pub use input::trimesh::Trimesh;
 pub use primitives::{Polygon, Vertex};