packed_spatial_index 0.4.0

Packed static spatial index for 2D and 3D AABBs with Hilbert ordering, adaptive parallel builds, and SIMD queries.
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
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
use std::{error::Error, fmt};

/// Spatial coordinates are `f64`, matching the reference default.
pub(crate) type Num = f64;

/// Error returned by [`Box2D::try_new`] and [`Box3D::try_new`] for invalid coordinate bounds.
#[derive(Clone, Copy, Debug, PartialEq)]
pub enum BoundsError {
    /// Bounds do not satisfy `min_x <= max_x` and `min_y <= max_y`.
    ///
    /// This also covers `NaN`, because `NaN` is unordered and fails those
    /// comparisons.
    InvalidBounds {
        /// Minimum x coordinate.
        min_x: f64,
        /// Minimum y coordinate.
        min_y: f64,
        /// Maximum x coordinate.
        max_x: f64,
        /// Maximum y coordinate.
        max_y: f64,
    },
    /// 3D bounds do not satisfy `min <= max` on every axis.
    ///
    /// This also covers `NaN`, because `NaN` is unordered and fails those
    /// comparisons.
    InvalidBounds3D {
        /// Minimum x coordinate.
        min_x: f64,
        /// Minimum y coordinate.
        min_y: f64,
        /// Minimum z coordinate.
        min_z: f64,
        /// Maximum x coordinate.
        max_x: f64,
        /// Maximum y coordinate.
        max_y: f64,
        /// Maximum z coordinate.
        max_z: f64,
    },
}

impl fmt::Display for BoundsError {
    fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
        match self {
            BoundsError::InvalidBounds { .. } => {
                write!(f, "bounds must satisfy min_x <= max_x and min_y <= max_y")
            }
            BoundsError::InvalidBounds3D { .. } => write!(
                f,
                "bounds must satisfy min_x <= max_x, min_y <= max_y, and min_z <= max_z"
            ),
        }
    }
}

impl Error for BoundsError {}

/// Axis-aligned 2D box stored as `(min_x, min_y, max_x, max_y)`.
///
/// Boxes are inclusive: boxes that touch at an edge or corner overlap.
/// [`Box2D::new`] is a cheap constructor and does not validate or reorder
/// coordinate bounds; use [`Box2D::try_new`] when accepting unchecked input.
///
/// # Example
///
/// ```
/// use packed_spatial_index::{Point2D, Box2D, BoundsError};
///
/// let a = Box2D::new(0.0, 0.0, 1.0, 1.0);
/// let b = Box2D::try_new(1.0, 1.0, 2.0, 2.0)?;
///
/// assert!(a.overlaps(b));
/// assert!(a.contains_point(Point2D::new(0.5, 0.5)));
/// assert!(!a.contains(b));
/// # Ok::<(), BoundsError>(())
/// ```
// `repr(C)` guarantees the field layout is exactly `[min_x, min_y, max_x, max_y]` as
// four contiguous, unpadded `f64`. This matches the on-disk box record, so on
// little-endian targets the box array can be serialized with a single bulk memcpy.
#[repr(C)]
#[derive(Clone, Copy, Debug, PartialEq)]
pub struct Box2D {
    /// Minimum x coordinate.
    pub min_x: f64,
    /// Minimum y coordinate.
    pub min_y: f64,
    /// Maximum x coordinate.
    pub max_x: f64,
    /// Maximum y coordinate.
    pub max_y: f64,
}

impl Box2D {
    /// Create a box from `[min_x, min_y, max_x, max_y]`.
    ///
    /// This constructor does not validate or reorder coordinates. Prefer
    /// [`Box2D::try_new`] for data that may contain inverted coordinate bounds or `NaN`.
    #[inline]
    pub const fn new(min_x: f64, min_y: f64, max_x: f64, max_y: f64) -> Self {
        Self {
            min_x,
            min_y,
            max_x,
            max_y,
        }
    }

    /// Create a zero-size box at `point`.
    ///
    /// This is useful for point containment queries:
    /// `index.search(Box2D::from_point(point))` returns boxes that contain the
    /// point, because box overlap is inclusive.
    ///
    /// # Example
    ///
    /// ```
    /// use packed_spatial_index::{Box2D, Point2D};
    ///
    /// let point = Point2D::new(2.0, 3.0);
    /// assert_eq!(Box2D::from_point(point), Box2D::new(2.0, 3.0, 2.0, 3.0));
    /// ```
    #[inline]
    pub const fn from_point(point: Point2D) -> Self {
        Self::new(point.x, point.y, point.x, point.y)
    }

    /// Try to create a validated box.
    ///
    /// Returns [`BoundsError::InvalidBounds`] when `min_x > max_x`, `min_y > max_y`,
    /// or any bound is `NaN`.
    ///
    /// # Example
    ///
    /// ```
    /// use packed_spatial_index::{Box2D, BoundsError};
    ///
    /// let box2d = Box2D::try_new(0.0, 0.0, 1.0, 1.0)?;
    /// assert_eq!(box2d, Box2D::new(0.0, 0.0, 1.0, 1.0));
    ///
    /// assert!(matches!(
    ///     Box2D::try_new(2.0, 0.0, 1.0, 1.0),
    ///     Err(BoundsError::InvalidBounds { .. })
    /// ));
    /// # Ok::<(), BoundsError>(())
    /// ```
    #[inline]
    pub const fn try_new(
        min_x: f64,
        min_y: f64,
        max_x: f64,
        max_y: f64,
    ) -> Result<Self, BoundsError> {
        if min_x <= max_x && min_y <= max_y {
            Ok(Self::new(min_x, min_y, max_x, max_y))
        } else {
            Err(BoundsError::InvalidBounds {
                min_x,
                min_y,
                max_x,
                max_y,
            })
        }
    }

    /// Return `true` when this box overlaps `other`.
    ///
    /// Edges are inclusive: boxes that only touch at an edge or corner
    /// are considered overlapping.
    #[inline]
    pub fn overlaps(&self, other: Box2D) -> bool {
        // Branchless: compute all four comparisons and combine them with bitwise `&`
        // to remove hard-to-predict floating-point branches from the traversal loop.
        (self.min_x <= other.max_x)
            & (self.max_x >= other.min_x)
            & (self.min_y <= other.max_y)
            & (self.max_y >= other.min_y)
    }

    /// Return `true` when this box fully contains `other`.
    ///
    /// Edges are inclusive.
    #[inline]
    pub fn contains(&self, other: Box2D) -> bool {
        (self.min_x <= other.min_x)
            & (self.min_y <= other.min_y)
            & (self.max_x >= other.max_x)
            & (self.max_y >= other.max_y)
    }

    /// Return `true` when this box contains `point`.
    ///
    /// Edges are inclusive.
    #[inline]
    pub fn contains_point(&self, point: Point2D) -> bool {
        (self.min_x <= point.x)
            & (self.max_x >= point.x)
            & (self.min_y <= point.y)
            & (self.max_y >= point.y)
    }

    #[inline]
    pub(crate) fn distance_squared_to(&self, point: Point2D) -> f64 {
        let dx = axis_distance(point.x, self.min_x, self.max_x);
        let dy = axis_distance(point.y, self.min_y, self.max_y);
        dx * dx + dy * dy
    }
}

/// Axis-aligned 3D box stored as `(min_x, min_y, min_z, max_x, max_y, max_z)`.
///
/// Boxes are inclusive: boxes that touch at a face, edge, or corner overlap.
/// [`Box3D::new`] is a cheap constructor and does not validate or reorder
/// coordinate bounds; use [`Box3D::try_new`] when accepting unchecked input.
///
/// # Example
///
/// ```
/// use packed_spatial_index::{Box3D, Point3D, BoundsError};
///
/// let a = Box3D::new(0.0, 0.0, 0.0, 1.0, 1.0, 1.0);
/// let b = Box3D::try_new(1.0, 1.0, 1.0, 2.0, 2.0, 2.0)?;
///
/// assert!(a.overlaps(b));
/// assert!(a.contains_point(Point3D::new(0.5, 0.5, 0.5)));
/// assert!(!a.contains(b));
/// # Ok::<(), BoundsError>(())
/// ```
// `repr(C)` guarantees `[min_x, min_y, min_z, max_x, max_y, max_z]` as six contiguous,
// unpadded `f64`, matching the on-disk box record for single-memcpy serialization.
#[repr(C)]
#[derive(Clone, Copy, Debug, PartialEq)]
pub struct Box3D {
    /// Minimum x coordinate.
    pub min_x: f64,
    /// Minimum y coordinate.
    pub min_y: f64,
    /// Minimum z coordinate.
    pub min_z: f64,
    /// Maximum x coordinate.
    pub max_x: f64,
    /// Maximum y coordinate.
    pub max_y: f64,
    /// Maximum z coordinate.
    pub max_z: f64,
}

impl Box3D {
    /// Create a box from `[min_x, min_y, min_z, max_x, max_y, max_z]`.
    ///
    /// This constructor does not validate or reorder coordinates. Prefer
    /// [`Box3D::try_new`] for data that may contain inverted coordinate bounds or `NaN`.
    #[inline]
    pub const fn new(
        min_x: f64,
        min_y: f64,
        min_z: f64,
        max_x: f64,
        max_y: f64,
        max_z: f64,
    ) -> Self {
        Self {
            min_x,
            min_y,
            min_z,
            max_x,
            max_y,
            max_z,
        }
    }

    /// Create a zero-size box at `point`.
    ///
    /// This is useful for point containment queries:
    /// `index.search(Box3D::from_point(point))` returns boxes that contain the
    /// point, because box overlap is inclusive.
    ///
    /// # Example
    ///
    /// ```
    /// use packed_spatial_index::{Box3D, Point3D};
    ///
    /// let point = Point3D::new(2.0, 3.0, 4.0);
    /// assert_eq!(
    ///     Box3D::from_point(point),
    ///     Box3D::new(2.0, 3.0, 4.0, 2.0, 3.0, 4.0)
    /// );
    /// ```
    #[inline]
    pub const fn from_point(point: Point3D) -> Self {
        Self::new(point.x, point.y, point.z, point.x, point.y, point.z)
    }

    /// Try to create a validated 3D box.
    ///
    /// Returns [`BoundsError::InvalidBounds3D`] when any axis is inverted or
    /// any bound is `NaN`.
    #[inline]
    pub const fn try_new(
        min_x: f64,
        min_y: f64,
        min_z: f64,
        max_x: f64,
        max_y: f64,
        max_z: f64,
    ) -> Result<Self, BoundsError> {
        if min_x <= max_x && min_y <= max_y && min_z <= max_z {
            Ok(Self::new(min_x, min_y, min_z, max_x, max_y, max_z))
        } else {
            Err(BoundsError::InvalidBounds3D {
                min_x,
                min_y,
                min_z,
                max_x,
                max_y,
                max_z,
            })
        }
    }

    /// Return `true` when this box overlaps `other`.
    ///
    /// Edges are inclusive: boxes that only touch at a face, edge, or corner
    /// are considered overlapping.
    #[inline]
    pub fn overlaps(&self, other: Box3D) -> bool {
        (self.min_x <= other.max_x)
            & (self.max_x >= other.min_x)
            & (self.min_y <= other.max_y)
            & (self.max_y >= other.min_y)
            & (self.min_z <= other.max_z)
            & (self.max_z >= other.min_z)
    }

    /// Return `true` when this box fully contains `other`.
    ///
    /// Edges are inclusive.
    #[inline]
    pub fn contains(&self, other: Box3D) -> bool {
        (self.min_x <= other.min_x)
            & (self.min_y <= other.min_y)
            & (self.min_z <= other.min_z)
            & (self.max_x >= other.max_x)
            & (self.max_y >= other.max_y)
            & (self.max_z >= other.max_z)
    }

    /// Return `true` when this box contains `point`.
    ///
    /// Edges are inclusive.
    #[inline]
    pub fn contains_point(&self, point: Point3D) -> bool {
        (self.min_x <= point.x)
            & (self.max_x >= point.x)
            & (self.min_y <= point.y)
            & (self.max_y >= point.y)
            & (self.min_z <= point.z)
            & (self.max_z >= point.z)
    }

    #[inline]
    pub(crate) fn distance_squared_to(&self, point: Point3D) -> f64 {
        let dx = axis_distance(point.x, self.min_x, self.max_x);
        let dy = axis_distance(point.y, self.min_y, self.max_y);
        let dz = axis_distance(point.z, self.min_z, self.max_z);
        dx * dx + dy * dy + dz * dz
    }
}

/// 2D point used by nearest-neighbor searches.
///
/// # Example
///
/// ```
/// use packed_spatial_index::Point2D;
///
/// let point = Point2D::new(10.0, 20.0);
/// assert_eq!(point.x, 10.0);
/// assert_eq!(point.y, 20.0);
/// ```
#[derive(Clone, Copy, Debug, PartialEq)]
pub struct Point2D {
    /// X coordinate.
    pub x: f64,
    /// Y coordinate.
    pub y: f64,
}

impl Point2D {
    /// Create a point from `x, y`.
    #[inline]
    pub const fn new(x: f64, y: f64) -> Self {
        Self { x, y }
    }
}

/// 3D point used by nearest-neighbor searches.
///
/// # Example
///
/// ```
/// use packed_spatial_index::Point3D;
///
/// let point = Point3D::new(10.0, 20.0, 30.0);
/// assert_eq!(point.z, 30.0);
/// ```
#[derive(Clone, Copy, Debug, PartialEq)]
pub struct Point3D {
    /// X coordinate.
    pub x: f64,
    /// Y coordinate.
    pub y: f64,
    /// Z coordinate.
    pub z: f64,
}

impl Point3D {
    /// Create a point from `x, y, z`.
    #[inline]
    pub const fn new(x: f64, y: f64, z: f64) -> Self {
        Self { x, y, z }
    }
}

#[inline(always)]
pub(crate) const fn empty_box2d() -> Box2D {
    Box2D::new(
        f64::INFINITY,
        f64::INFINITY,
        f64::NEG_INFINITY,
        f64::NEG_INFINITY,
    )
}

#[inline(always)]
pub(crate) fn extend_box2d(bounds: &mut Box2D, other: Box2D) {
    bounds.min_x = bounds.min_x.min(other.min_x);
    bounds.min_y = bounds.min_y.min(other.min_y);
    bounds.max_x = bounds.max_x.max(other.max_x);
    bounds.max_y = bounds.max_y.max(other.max_y);
}

#[inline(always)]
pub(crate) const fn empty_box3d() -> Box3D {
    Box3D::new(
        f64::INFINITY,
        f64::INFINITY,
        f64::INFINITY,
        f64::NEG_INFINITY,
        f64::NEG_INFINITY,
        f64::NEG_INFINITY,
    )
}

#[inline(always)]
pub(crate) fn extend_box3d(bounds: &mut Box3D, other: Box3D) {
    bounds.min_x = bounds.min_x.min(other.min_x);
    bounds.min_y = bounds.min_y.min(other.min_y);
    bounds.min_z = bounds.min_z.min(other.min_z);
    bounds.max_x = bounds.max_x.max(other.max_x);
    bounds.max_y = bounds.max_y.max(other.max_y);
    bounds.max_z = bounds.max_z.max(other.max_z);
}

#[inline]
fn axis_distance(point: f64, min: f64, max: f64) -> f64 {
    if point < min {
        min - point
    } else if point > max {
        point - max
    } else {
        0.0
    }
}