packed_spatial_index 0.26.0

Packed static spatial index (Hilbert R-tree) for 2D/3D AABBs — SIMD range, kNN, raycast, and spatial-join queries, with zero-copy and streaming serialization.
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
//! Correctness for ray traversal: closest hit (nearest box the ray *segment*
//! enters, by entry `t`) and all-hits raycast, cross-checked against brute
//! force. Both the AoS scalar path (`Index3D`) and the SoA/SIMD path
//! (`SimdIndex3D`, which dispatches to AVX-512 or masked `f64x4`) must agree —
//! including axis-parallel rays (a zero direction component), where the
//! multiply-only vector slab is not NaN-safe.

use packed_spatial_index::{Box3D, Index3DBuilder, NeighborWorkspace, Point3D, Ray3D};
use rand::rngs::StdRng;
use rand::{RngExt, SeedableRng};

const EPS: f64 = 1e-9;

fn boxes_3d(n: usize, seed: u64) -> Vec<Box3D> {
    let mut rng = StdRng::seed_from_u64(seed);
    (0..n)
        .map(|_| {
            let x: f64 = rng.random_range(0.0..1_000.0);
            let y: f64 = rng.random_range(0.0..1_000.0);
            let z: f64 = rng.random_range(0.0..1_000.0);
            let dx: f64 = rng.random_range(0.5..30.0);
            let dy: f64 = rng.random_range(0.5..30.0);
            let dz: f64 = rng.random_range(0.5..30.0);
            Box3D::new(x, y, z, x + dx, y + dy, z + dz)
        })
        .collect()
}

fn brute_closest(boxes: &[Box3D], ray: Ray3D) -> Option<f64> {
    let mut best: Option<f64> = None;
    for &b in boxes {
        if let Some(t) = ray.enter_t(b)
            && best.is_none_or(|bt| t < bt)
        {
            best = Some(t);
        }
    }
    best
}

fn brute_all_hits(boxes: &[Box3D], ray: Ray3D) -> Vec<usize> {
    let mut out: Vec<usize> = (0..boxes.len())
        .filter(|&i| ray.intersects_box(boxes[i]))
        .collect();
    out.sort_unstable();
    out
}

fn close(a: Option<f64>, b: Option<f64>) -> bool {
    match (a, b) {
        (None, None) => true,
        (Some(x), Some(y)) => (x - y).abs() <= EPS * y.abs().max(1.0),
        _ => false,
    }
}

fn random_ray(rng: &mut StdRng, i: usize) -> Ray3D {
    let ox: f64 = rng.random_range(-200.0..1_200.0);
    let oy: f64 = rng.random_range(-200.0..1_200.0);
    let oz: f64 = rng.random_range(-200.0..1_200.0);
    let mut dx: f64 = rng.random_range(-1.0..1.0);
    let mut dy: f64 = rng.random_range(-1.0..1.0);
    let mut dz: f64 = rng.random_range(-1.0..1.0);
    // Force a zero component on most rays to exercise the masked SIMD path.
    match i % 4 {
        1 => dx = 0.0,
        2 => dy = 0.0,
        3 => dz = 0.0,
        _ => {}
    }
    if dx == 0.0 && dy == 0.0 && dz == 0.0 {
        dx = 1.0;
    }
    Ray3D::new(Point3D::new(ox, oy, oz), dx, dy, dz, 2_500.0)
}

#[test]
fn raycast_closest_3d_matches_brute_including_axis_parallel() {
    let boxes = boxes_3d(3_000, 0x4A33);
    let mut builder = Index3DBuilder::new(boxes.len()).node_size(8);
    boxes.iter().for_each(|&b| builder.add(b));
    let aos = builder.finish().unwrap();

    let mut ws = NeighborWorkspace::new();
    let mut rng = StdRng::seed_from_u64(0x0DD3);

    for i in 0..4_000 {
        let ray = random_ray(&mut rng, i);
        let expected = brute_closest(&boxes, ray);
        let aos_hit = aos.raycast_closest_with(ray, &mut ws).map(|(_, t)| t);
        assert!(
            close(aos_hit, expected),
            "AoS 3D {aos_hit:?} vs {expected:?}"
        );
    }
}

#[test]
fn raycast_all_hits_3d_matches_brute() {
    let boxes = boxes_3d(2_000, 0x4A34);
    let mut builder = Index3DBuilder::new(boxes.len());
    boxes.iter().for_each(|&b| builder.add(b));
    let index = builder.finish().unwrap();

    let mut rng = StdRng::seed_from_u64(0x0DD4);
    let mut results = Vec::new();
    for i in 0..1_000 {
        let ray = random_ray(&mut rng, i);
        index.raycast_into(ray, &mut results);
        results.sort_unstable();
        assert_eq!(results, brute_all_hits(&boxes, ray));
    }
}

#[test]
fn raycast_closest_3d_includes_exact_max_distance_hit_and_rejects_invalid_rays() {
    let mut builder = Index3DBuilder::new(1);
    builder.add(Box3D::new(10.0, 0.0, 0.0, 11.0, 1.0, 1.0));
    let index = builder.finish().unwrap();

    let boundary = Ray3D::new(Point3D::new(0.0, 0.5, 0.5), 1.0, 0.0, 0.0, 10.0);
    assert_eq!(index.raycast_closest(boundary), Some((0, 10.0)));

    let nan_origin = Ray3D::new(Point3D::new(f64::NAN, 0.5, 0.5), 1.0, 0.0, 0.0, 20.0);
    assert!(index.raycast(nan_origin).is_empty());
    assert_eq!(index.raycast_closest(nan_origin), None);

    let inf_dir = Ray3D::new(Point3D::new(0.0, 0.5, 0.5), f64::INFINITY, 0.0, 0.0, 20.0);
    assert!(index.raycast(inf_dir).is_empty());
    assert_eq!(index.raycast_closest(inf_dir), None);
}

#[test]
fn raycast_3d_empty_and_degenerate_rays() {
    let index = Index3DBuilder::new(0).finish().unwrap();
    let ray = Ray3D::new(Point3D::new(0.0, 0.0, 0.0), 1.0, 0.0, 0.0, 10.0);
    assert!(index.raycast(ray).is_empty());
    assert_eq!(index.raycast_closest(ray), None);

    let mut builder = Index3DBuilder::new(1);
    builder.add(Box3D::new(0.0, 0.0, 0.0, 1.0, 1.0, 1.0));
    let index = builder.finish().unwrap();
    // Negative and NaN max_distance never hit.
    let bad = Ray3D::new(Point3D::new(0.5, 0.5, 0.5), 1.0, 0.0, 0.0, -1.0);
    assert!(index.raycast(bad).is_empty());
    assert_eq!(index.raycast_closest(bad), None);
    let nan = Ray3D::new(Point3D::new(0.5, 0.5, 0.5), 1.0, 0.0, 0.0, f64::NAN);
    assert!(index.raycast(nan).is_empty());
    // Origin inside the box: entry t is 0.
    let inside = Ray3D::new(Point3D::new(0.5, 0.5, 0.5), 1.0, 0.0, 0.0, 10.0);
    assert_eq!(index.raycast_closest(inside), Some((0, 0.0)));
}

#[test]
fn zero_direction_ray_is_a_point_probe() {
    let mut builder = Index3DBuilder::new(2);
    builder.add(Box3D::new(0.0, 0.0, 0.0, 1.0, 1.0, 1.0));
    builder.add(Box3D::new(5.0, 5.0, 5.0, 6.0, 6.0, 6.0));
    let index = builder.finish().unwrap();

    // A fully zero direction collapses every slab to an inside test, so the ray
    // probes only boxes that contain the origin (entry t == 0).
    let inside = Ray3D::new(Point3D::new(0.5, 0.5, 0.5), 0.0, 0.0, 0.0, 10.0);
    assert_eq!(index.raycast(inside), vec![0]);
    assert_eq!(index.raycast_closest(inside), Some((0, 0.0)));

    let outside = Ray3D::new(Point3D::new(3.0, 3.0, 3.0), 0.0, 0.0, 0.0, 10.0);
    assert!(index.raycast(outside).is_empty());
    assert_eq!(index.raycast_closest(outside), None);
}

#[cfg(feature = "simd")]
mod simd {
    use super::*;

    #[test]
    fn simd_raycast_closest_3d_matches_brute_including_axis_parallel() {
        let boxes = boxes_3d(3_000, 0x4A33);
        let mut builder = Index3DBuilder::new(boxes.len()).node_size(8);
        boxes.iter().for_each(|&b| builder.add(b));
        let simd = builder.finish_simd().unwrap();

        let mut ws = NeighborWorkspace::new();
        let mut rng = StdRng::seed_from_u64(0x0DD3);
        for i in 0..4_000 {
            let ray = random_ray(&mut rng, i);
            let expected = brute_closest(&boxes, ray);
            let simd_hit = simd.raycast_closest_with(ray, &mut ws).map(|(_, t)| t);
            assert!(
                close(simd_hit, expected),
                "SoA 3D {simd_hit:?} vs {expected:?}"
            );
        }
    }

    #[test]
    fn simd_raycast_all_hits_3d_matches_brute() {
        let boxes = boxes_3d(1_500, 0x4A35);
        let mut builder = Index3DBuilder::new(boxes.len());
        boxes.iter().for_each(|&b| builder.add(b));
        let simd = builder.finish_simd().unwrap();

        let mut rng = StdRng::seed_from_u64(0x0DD5);
        let mut results = Vec::new();
        for i in 0..800 {
            let ray = random_ray(&mut rng, i);
            simd.raycast_into(ray, &mut results);
            results.sort_unstable();
            assert_eq!(results, brute_all_hits(&boxes, ray));
        }
    }

    #[test]
    fn simd_raycast_closest_3d_ray_through_exact_face() {
        // A ray that is parallel to Y and Z and whose origin lies *exactly* on a box
        // face: the degenerate case that produces `0 * inf = NaN` in an unmasked slab.
        let boxes = [
            Box3D::new(0.0, 0.0, 0.0, 10.0, 10.0, 10.0),
            Box3D::new(50.0, 0.0, 0.0, 60.0, 10.0, 10.0),
        ];
        let mut builder = Index3DBuilder::new(boxes.len()).node_size(8);
        boxes.iter().for_each(|&b| builder.add(b));
        let simd = builder.finish_simd().unwrap();

        // origin.z == 0.0 == box.min_z, dir = +X, dir_y == dir_z == 0.
        let ray = Ray3D::new(Point3D::new(-5.0, 5.0, 0.0), 1.0, 0.0, 0.0, 100.0);
        let mut ws = NeighborWorkspace::new();
        let hit = simd.raycast_closest_with(ray, &mut ws);
        assert_eq!(hit.map(|(_, t)| t), brute_closest(&boxes, ray));
        assert!((hit.unwrap().1 - 5.0).abs() <= EPS, "entry t should be 5.0");
    }

    #[test]
    fn simd_raycast_3d_subnormal_direction_matches_scalar() {
        let boxes = [Box3D::new(0.0, 0.0, 0.0, 1.0, 1.0, 1.0)];
        let mut scalar_builder = Index3DBuilder::new(boxes.len());
        let mut simd_builder = Index3DBuilder::new(boxes.len());
        boxes.iter().for_each(|&b| {
            scalar_builder.add(b);
            simd_builder.add(b);
        });
        let scalar = scalar_builder.finish().unwrap();
        let simd = simd_builder.finish_simd().unwrap();

        let ray = Ray3D::new(
            Point3D::new(0.5, 0.5, -1.0),
            f64::from_bits(1),
            0.0,
            1.0,
            10.0,
        );
        assert_eq!(simd.raycast(ray), scalar.raycast(ray));
        assert_eq!(simd.raycast_closest(ray), scalar.raycast_closest(ray));
    }
}

mod ordered_and_views {
    use super::*;
    use packed_spatial_index::Index3DView;
    use std::ops::ControlFlow;

    /// Brute-force `(t, id)` list sorted by entry t.
    fn brute_ordered(boxes: &[Box3D], ray: Ray3D) -> Vec<(f64, usize)> {
        let mut out: Vec<(f64, usize)> = (0..boxes.len())
            .filter_map(|i| ray.enter_t(boxes[i]).map(|t| (t, i)))
            .collect();
        out.sort_by(|a, b| a.0.total_cmp(&b.0));
        out
    }

    #[test]
    fn visit_raycast_3d_is_ordered_and_complete() {
        let boxes = boxes_3d(1_500, 0x5A01);
        let mut builder = Index3DBuilder::new(boxes.len());
        boxes.iter().for_each(|&b| builder.add(b));
        let index = builder.finish().unwrap();

        let mut rng = StdRng::seed_from_u64(0x5A02);
        for i in 0..500 {
            let ray = random_ray(&mut rng, i);
            let expected = brute_ordered(&boxes, ray);

            let mut visited: Vec<(f64, usize)> = Vec::new();
            let flow: ControlFlow<()> = index.visit_raycast(ray, |id, t| {
                visited.push((t, id));
                ControlFlow::Continue(())
            });
            assert_eq!(flow, ControlFlow::Continue(()));

            // Same t sequence in nondecreasing order; ids may swap within equal t.
            let visited_ts: Vec<f64> = visited.iter().map(|&(t, _)| t).collect();
            let expected_ts: Vec<f64> = expected.iter().map(|&(t, _)| t).collect();
            assert_eq!(visited_ts, expected_ts);
            let mut visited_ids: Vec<usize> = visited.iter().map(|&(_, id)| id).collect();
            let mut expected_ids: Vec<usize> = expected.iter().map(|&(_, id)| id).collect();
            visited_ids.sort_unstable();
            expected_ids.sort_unstable();
            assert_eq!(visited_ids, expected_ids);
        }
    }

    #[test]
    fn visit_raycast_3d_breaks_early() {
        let boxes = boxes_3d(1_500, 0x5A03);
        let mut builder = Index3DBuilder::new(boxes.len());
        boxes.iter().for_each(|&b| builder.add(b));
        let index = builder.finish().unwrap();

        // Pick a random ray that is guaranteed to cross several boxes.
        let mut rng = StdRng::seed_from_u64(0x5A08);
        let ray = (0..)
            .map(|i| random_ray(&mut rng, i))
            .find(|&ray| index.raycast(ray).len() >= 3)
            .unwrap();

        let mut seen = 0usize;
        let flow = index.visit_raycast(ray, |_, _| {
            seen += 1;
            if seen == 2 {
                ControlFlow::Break(())
            } else {
                ControlFlow::Continue(())
            }
        });
        assert_eq!(flow, ControlFlow::Break(()));
        assert_eq!(seen, 2);
    }

    #[test]
    fn view_raycast_3d_matches_owned() {
        let boxes = boxes_3d(1_200, 0x5A04);
        let mut builder = Index3DBuilder::new(boxes.len());
        boxes.iter().for_each(|&b| builder.add(b));
        let index = builder.finish().unwrap();
        let bytes = index.to_bytes();
        let view = Index3DView::from_bytes(&bytes).unwrap();

        let mut rng = StdRng::seed_from_u64(0x5A05);
        for i in 0..400 {
            let ray = random_ray(&mut rng, i);

            let mut owned_hits = index.raycast(ray);
            let mut view_hits = view.raycast(ray);
            owned_hits.sort_unstable();
            view_hits.sort_unstable();
            assert_eq!(owned_hits, view_hits);

            assert_eq!(index.raycast_closest(ray), view.raycast_closest(ray));

            let mut owned_ts = Vec::new();
            let _: ControlFlow<()> = index.visit_raycast(ray, |_, t| {
                owned_ts.push(t);
                ControlFlow::Continue(())
            });
            let mut view_ts = Vec::new();
            let _: ControlFlow<()> = view.visit_raycast(ray, |_, t| {
                view_ts.push(t);
                ControlFlow::Continue(())
            });
            assert_eq!(owned_ts, view_ts);
        }
    }

    #[cfg(feature = "simd")]
    #[test]
    fn simd_view_raycast_3d_matches_owned() {
        use packed_spatial_index::SimdIndex3DView;

        let boxes = boxes_3d(1_200, 0x5A06);
        let mut builder = Index3DBuilder::new(boxes.len());
        boxes.iter().for_each(|&b| builder.add(b));
        let simd = builder.finish_simd().unwrap();
        let bytes = simd.to_bytes();
        let view = SimdIndex3DView::from_bytes(&bytes).unwrap();

        let mut rng = StdRng::seed_from_u64(0x5A07);
        for i in 0..400 {
            let ray = random_ray(&mut rng, i);

            let mut owned_hits = simd.raycast(ray);
            let mut view_hits = view.raycast(ray);
            owned_hits.sort_unstable();
            view_hits.sort_unstable();
            assert_eq!(owned_hits, view_hits);

            let owned_closest = simd.raycast_closest(ray).map(|(_, t)| t);
            let view_closest = view.raycast_closest(ray).map(|(_, t)| t);
            assert!(close(owned_closest, view_closest));

            let mut simd_ts = Vec::new();
            let _: ControlFlow<()> = simd.visit_raycast(ray, |_, t| {
                simd_ts.push(t);
                ControlFlow::Continue(())
            });
            let mut view_ts = Vec::new();
            let _: ControlFlow<()> = view.visit_raycast(ray, |_, t| {
                view_ts.push(t);
                ControlFlow::Continue(())
            });
            assert_eq!(simd_ts, view_ts);
        }
    }
}