s2rst 0.4.0

A Rust port of Google's S2 spherical geometry library — points, regions, shapes, and a hierarchical cell index on the sphere.
Documentation
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
// SPDX-License-Identifier: Apache-2.0
// SPDX-FileCopyrightText: 2026 Torgeir Børresen <tb@starkad.no>
// Rust port of Google's S2 Geometry library — a derivative work, modified from
// the upstream Apache-2.0 source(s) below (Copyright Google Inc.). See LICENSE.
//   - C++:  google/s2geometry
//   - Java: google/s2-geometry-library-java

//! Tracks shape edges that are incident on the same vertex.
//!
//! Ported from Java `S2IncidentEdgeTracker`. This is useful for detecting
//! vertices where more than two edges meet (which often indicates self-
//! intersections or complex topology).
//!
//! # Usage
//!
//! ```
//! use s2rst::s2::incident_edge_tracker::IncidentEdgeTracker;
//! use s2rst::s2::{LatLng, Point};
//!
//! let a = LatLng::from_degrees(1.0, 1.0).to_point();
//! let b = LatLng::from_degrees(1.0, 2.0).to_point();
//! let c = LatLng::from_degrees(2.0, 1.0).to_point();
//!
//! let mut tracker = IncidentEdgeTracker::new();
//! tracker.start_shape(0);
//! tracker.add_edge(0, a, b);
//! tracker.add_edge(1, b, a);
//! tracker.add_edge(2, a, c);
//! tracker.add_edge(3, c, a);
//! tracker.finish_shape();
//!
//! let map = tracker.incident_edges();
//! // Vertex 'a' has 4 incident edges, so it appears in the map.
//! use s2rst::s2::incident_edge_tracker::IncidentEdgeKey;
//! assert!(map.contains_key(&IncidentEdgeKey { shape_id: 0, vertex: a }));
//! ```

use std::collections::{BTreeMap, HashSet};

use crate::s2::Point;

/// A (`shape_id`, vertex) key for looking up incident edges.
///
/// The ordering is by `shape_id` first, then by vertex coordinates lexicographically.
#[derive(Clone, Debug, PartialEq)]
pub struct IncidentEdgeKey {
    /// The shape ID.
    pub shape_id: i32,
    /// The vertex point.
    pub vertex: Point,
}

impl Eq for IncidentEdgeKey {}

impl PartialOrd for IncidentEdgeKey {
    fn partial_cmp(&self, other: &Self) -> Option<std::cmp::Ordering> {
        Some(self.cmp(other))
    }
}

impl Ord for IncidentEdgeKey {
    fn cmp(&self, other: &Self) -> std::cmp::Ordering {
        self.shape_id
            .cmp(&other.shape_id)
            .then_with(|| cmp_point(&self.vertex, &other.vertex))
    }
}

/// Lexicographic comparison of two points by (x, y, z).
fn cmp_point(a: &Point, b: &Point) -> std::cmp::Ordering {
    a.0.x
        .total_cmp(&b.0.x)
        .then_with(|| a.0.y.total_cmp(&b.0.y))
        .then_with(|| a.0.z.total_cmp(&b.0.z))
}

/// Map from `(shape_id, vertex)` keys to sets of edge IDs.
pub type IncidentEdgeMap = BTreeMap<IncidentEdgeKey, HashSet<i32>>;

/// Temporary storage for vertex-edge associations.
#[derive(Debug)]
struct VertexEdge {
    vertex: Point,
    edge_id: i32,
}

/// Detects and tracks shape edges that are incident on the same vertex.
///
/// Edges of multiple shapes may be tracked. Vertices with more than two
/// incident edges are recorded; vertices with only one or two edges (the
/// common case) are discarded to save memory.
///
/// Usage: call [`start_shape`](Self::start_shape), then
/// [`add_edge`](Self::add_edge) for each edge, then
/// [`finish_shape`](Self::finish_shape). Repeat for each shape. Finally, call
/// [`incident_edges`](Self::incident_edges) to retrieve the result.
#[derive(Debug)]
pub struct IncidentEdgeTracker {
    nursery: Vec<VertexEdge>,
    current_shape_id: i32,
    map: IncidentEdgeMap,
}

impl IncidentEdgeTracker {
    /// Creates a new, empty tracker.
    pub fn new() -> Self {
        Self {
            nursery: Vec::new(),
            current_shape_id: -1,
            map: BTreeMap::new(),
        }
    }

    /// Begins tracking edges for a new shape. Must be called before
    /// [`add_edge`](Self::add_edge).
    pub fn start_shape(&mut self, shape_id: i32) {
        self.nursery.clear();
        self.current_shape_id = shape_id;
    }

    /// Adds an edge (identified by `edge_id`) with endpoints `a` and `b`
    /// for the current shape.
    ///
    /// # Panics
    ///
    /// Panics if [`start_shape`](Self::start_shape) has not been called.
    pub fn add_edge(&mut self, edge_id: i32, a: Point, b: Point) {
        assert!(
            self.current_shape_id >= 0,
            "start_shape() must be called before add_edge()"
        );
        self.nursery.push(VertexEdge { vertex: a, edge_id });
        if a != b {
            self.nursery.push(VertexEdge { vertex: b, edge_id });
        }
    }

    /// Finishes the current shape. Vertices with more than 2 incident edges
    /// are added to the internal map.
    ///
    /// # Panics
    ///
    /// Panics if [`start_shape`](Self::start_shape) has not been called.
    pub fn finish_shape(&mut self) {
        assert!(
            self.current_shape_id >= 0,
            "start_shape() must be called before finish_shape()"
        );

        let n = self.nursery.len();
        // Scan through the nursery, grouping entries with the same vertex.
        // Use an in-place swap-partitioning approach like the Java version.
        let mut start = 0;
        while start < n {
            let mut end = start + 1;
            let curr_vertex = self.nursery[start].vertex;

            // Scan forward, swapping matching vertices into contiguous range.
            let mut next = end;
            while next < n {
                if self.nursery[next].vertex == curr_vertex {
                    self.nursery.swap(next, end);
                    end += 1;
                }
                next += 1;
            }

            let num_edges = end - start;
            if num_edges > 2 {
                let key = IncidentEdgeKey {
                    shape_id: self.current_shape_id,
                    vertex: curr_vertex,
                };
                let edges = self
                    .map
                    .entry(key)
                    .or_insert_with(|| HashSet::with_capacity(8));
                for ve in &self.nursery[start..end] {
                    edges.insert(ve.edge_id);
                }
            }

            start = end;
        }

        self.nursery.clear();
    }

    /// Clears all accumulated state.
    pub fn reset(&mut self) {
        self.map.clear();
    }

    /// Returns a reference to the incident edge map.
    pub fn incident_edges(&self) -> &IncidentEdgeMap {
        &self.map
    }
}

impl Default for IncidentEdgeTracker {
    fn default() -> Self {
        Self::new()
    }
}

#[cfg(test)]
mod tests {
    use super::*;
    use crate::s2::LatLng;

    fn pt(lat: f64, lng: f64) -> Point {
        LatLng::from_degrees(lat, lng).to_point()
    }

    fn assert_incident_at(map: &IncidentEdgeMap, shape_id: i32, vertex: Point, expected: &[i32]) {
        let key = IncidentEdgeKey { shape_id, vertex };
        if expected.is_empty() {
            assert!(
                !map.contains_key(&key),
                "Expected no entry for shape_id={shape_id}"
            );
        } else {
            let edges = map.get(&key).expect("Expected entry in map");
            let expected_set: HashSet<i32> = expected.iter().copied().collect();
            assert_eq!(*edges, expected_set);
        }
    }

    // Java: testVerticesWithTwoIncidentEdges
    #[test]
    fn test_vertices_with_two_incident_edges() {
        let (a, b, c, d) = (pt(1.0, 1.0), pt(1.0, 2.0), pt(2.0, 1.0), pt(2.0, 2.0));
        let mut tracker = IncidentEdgeTracker::new();

        // Square: ab, bc, cd, da — each vertex has exactly 2 incident edges.
        tracker.start_shape(0);
        tracker.add_edge(0, a, b);
        tracker.add_edge(1, b, c);
        tracker.add_edge(2, c, d);
        tracker.add_edge(3, d, a);
        tracker.finish_shape();

        assert!(tracker.incident_edges().is_empty());
    }

    // Java: testVerticesWithFourIncidentEdges
    #[test]
    fn test_vertices_with_four_incident_edges() {
        let (a, b, c, d) = (pt(1.0, 1.0), pt(1.0, 2.0), pt(2.0, 1.0), pt(2.0, 2.0));
        let mut tracker = IncidentEdgeTracker::new();

        // Square with edges in each direction.
        tracker.start_shape(0);
        tracker.add_edge(0, a, b);
        tracker.add_edge(5, b, a);
        tracker.add_edge(1, b, c);
        tracker.add_edge(6, c, b);
        tracker.add_edge(2, c, d);
        tracker.add_edge(7, d, c);
        tracker.add_edge(3, d, a);
        tracker.add_edge(4, a, d);
        tracker.finish_shape();

        let map = tracker.incident_edges();
        assert!(!map.is_empty());

        assert_incident_at(map, 0, a, &[0, 5, 4, 3]);
        assert_incident_at(map, 0, b, &[0, 5, 1, 6]);
        assert_incident_at(map, 0, c, &[7, 2, 1, 6]);
        assert_incident_at(map, 0, d, &[2, 4, 3, 7]);
    }

    // Java: testTwoShapes
    #[test]
    fn test_two_shapes() {
        let (a, b, c, d) = (pt(1.0, 1.0), pt(1.0, 2.0), pt(2.0, 1.0), pt(2.0, 2.0));
        let mut tracker = IncidentEdgeTracker::new();

        // Shape 0: triangle around a,b,c with edges in each direction.
        tracker.start_shape(0);
        tracker.add_edge(0, a, b);
        tracker.add_edge(1, b, c);
        tracker.add_edge(2, c, a);
        tracker.add_edge(3, a, c);
        tracker.add_edge(4, c, b);
        tracker.add_edge(5, b, a);
        tracker.finish_shape();

        // Shape 1: triangle around b,c,d with edges in each direction.
        tracker.start_shape(1);
        tracker.add_edge(0, b, c);
        tracker.add_edge(1, c, d);
        tracker.add_edge(2, d, b);
        tracker.add_edge(3, b, d);
        tracker.add_edge(4, d, c);
        tracker.add_edge(5, c, b);
        tracker.finish_shape();

        let map = tracker.incident_edges();
        assert!(!map.is_empty());

        // Shape 0
        assert_incident_at(map, 0, a, &[0, 2, 3, 5]);
        assert_incident_at(map, 0, b, &[0, 1, 4, 5]);
        assert_incident_at(map, 0, c, &[1, 2, 3, 4]);
        assert_incident_at(map, 0, d, &[]);

        // Shape 1
        assert_incident_at(map, 1, a, &[]);
        assert_incident_at(map, 1, b, &[0, 2, 3, 5]);
        assert_incident_at(map, 1, c, &[0, 1, 4, 5]);
        assert_incident_at(map, 1, d, &[1, 2, 3, 4]);
    }

    // Java: testTwoShapesAsTwoAddEdgesSequences
    #[test]
    fn test_two_shapes_as_two_sequences() {
        let (a, b, c, d) = (pt(1.0, 1.0), pt(1.0, 2.0), pt(2.0, 1.0), pt(2.0, 2.0));
        let mut tracker = IncidentEdgeTracker::new();

        // Shape 0, edges adjacent to a.
        tracker.start_shape(0);
        tracker.add_edge(0, a, b);
        tracker.add_edge(5, b, a);
        tracker.add_edge(2, c, a);
        tracker.add_edge(3, a, c);
        tracker.finish_shape();

        // Shape 1, edges adjacent to b.
        tracker.start_shape(1);
        tracker.add_edge(0, b, c);
        tracker.add_edge(5, c, b);
        tracker.add_edge(2, d, b);
        tracker.add_edge(3, b, d);
        tracker.finish_shape();

        // Shape 0, edges adjacent to b.
        tracker.start_shape(0);
        tracker.add_edge(0, a, b);
        tracker.add_edge(5, b, a);
        tracker.add_edge(1, b, c);
        tracker.add_edge(4, c, b);
        tracker.finish_shape();

        // Shape 1, edges adjacent to c.
        tracker.start_shape(1);
        tracker.add_edge(0, b, c);
        tracker.add_edge(5, c, b);
        tracker.add_edge(1, c, d);
        tracker.add_edge(4, d, c);
        tracker.finish_shape();

        // Shape 0, edges adjacent to c.
        tracker.start_shape(0);
        tracker.add_edge(1, b, c);
        tracker.add_edge(4, c, b);
        tracker.add_edge(2, c, a);
        tracker.add_edge(3, a, c);
        tracker.finish_shape();

        // Shape 1, edges adjacent to d.
        tracker.start_shape(1);
        tracker.add_edge(1, c, d);
        tracker.add_edge(4, d, c);
        tracker.add_edge(2, d, b);
        tracker.add_edge(3, b, d);
        tracker.finish_shape();

        let map = tracker.incident_edges();
        assert!(!map.is_empty());

        // Shape 0
        assert_incident_at(map, 0, a, &[0, 2, 3, 5]);
        assert_incident_at(map, 0, b, &[0, 1, 4, 5]);
        assert_incident_at(map, 0, c, &[1, 2, 3, 4]);
        assert_incident_at(map, 0, d, &[]);

        // Shape 1
        assert_incident_at(map, 1, a, &[]);
        assert_incident_at(map, 1, b, &[0, 2, 3, 5]);
        assert_incident_at(map, 1, c, &[0, 1, 4, 5]);
        assert_incident_at(map, 1, d, &[1, 2, 3, 4]);
    }

    #[test]
    fn test_reset_clears_state() {
        let (a, b, c) = (pt(1.0, 1.0), pt(1.0, 2.0), pt(2.0, 1.0));
        let mut tracker = IncidentEdgeTracker::new();

        tracker.start_shape(0);
        tracker.add_edge(0, a, b);
        tracker.add_edge(1, b, a);
        tracker.add_edge(2, a, c);
        tracker.add_edge(3, c, a);
        tracker.finish_shape();

        assert!(!tracker.incident_edges().is_empty());
        tracker.reset();
        assert!(tracker.incident_edges().is_empty());
    }

    #[test]
    fn test_degenerate_edge() {
        let (a, b) = (pt(1.0, 1.0), pt(1.0, 2.0));
        let mut tracker = IncidentEdgeTracker::new();

        // Degenerate edge a→a plus two more edges — 3 incident at 'a'.
        tracker.start_shape(0);
        tracker.add_edge(0, a, a); // degenerate: only one endpoint added
        tracker.add_edge(1, a, b);
        tracker.add_edge(2, b, a);
        tracker.finish_shape();

        let map = tracker.incident_edges();
        assert_incident_at(map, 0, a, &[0, 1, 2]);
    }
}