oxigdal-algorithms 0.1.6

High-performance SIMD-optimized raster and vector algorithms for OxiGDAL - Pure Rust geospatial processing
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
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
758
759
760
761
762
763
764
765
766
767
768
769
770
771
772
773
774
775
776
777
//! Coordinate transformation operations for vector geometries
//!
//! This module provides coordinate transformation capabilities for converting
//! geometries between different coordinate reference systems (CRS).
//!
//! # Features
//!
//! - **Point Transformation**: Transform individual points between CRS
//! - **Geometry Transformation**: Transform entire geometries (LineString, Polygon, etc.)
//! - **Batch Transformation**: Efficiently transform multiple coordinates at once
//! - **Projection Support**: Support for common projections (WGS84, Web Mercator, UTM, etc.)
//!
//! # Examples
//!
//! ```
//! use oxigdal_algorithms::vector::{Point, Coordinate, transform_point};
//!
//! // Transform from WGS84 (EPSG:4326) to Web Mercator (EPSG:3857)
//! let wgs84_point = Point::new(-122.4194, 37.7749); // San Francisco
//! # // In real usage, you would transform like this:
//! # // let web_mercator = transform_point(&wgs84_point, "EPSG:4326", "EPSG:3857").unwrap();
//! ```

use crate::error::{AlgorithmError, Result};
use oxigdal_core::vector::{
    Coordinate, Geometry, GeometryCollection, LineString, MultiLineString, MultiPoint,
    MultiPolygon, Point, Polygon,
};

#[cfg(feature = "std")]
use std::vec::Vec;

/// Common coordinate reference systems
#[derive(Debug, Clone, Copy, PartialEq, Eq)]
pub enum CommonCrs {
    /// WGS84 geographic coordinates (latitude/longitude)
    Wgs84,
    /// Web Mercator (used by Google Maps, OpenStreetMap)
    WebMercator,
    /// UTM Zone (specify zone number and hemisphere)
    Utm { zone: u8, north: bool },
}

impl CommonCrs {
    /// Returns the EPSG code for this CRS
    pub fn epsg_code(&self) -> String {
        match self {
            Self::Wgs84 => "EPSG:4326".to_string(),
            Self::WebMercator => "EPSG:3857".to_string(),
            Self::Utm { zone, north } => {
                if *north {
                    format!("EPSG:326{:02}", zone)
                } else {
                    format!("EPSG:327{:02}", zone)
                }
            }
        }
    }
}

/// Transformer for coordinate reference system conversions
///
/// When the `crs-transform` feature is enabled, this uses the `oxigdal-proj`
/// backend (pure-Rust proj4rs) for arbitrary CRS pairs.  The two hardcoded
/// paths (WGS84↔Web Mercator) are kept as a fallback so that the API behaves
/// identically when the feature is disabled.
pub struct CrsTransformer {
    source_crs: String,
    target_crs: String,
    #[cfg(feature = "crs-transform")]
    proj_transformer: Option<oxigdal_proj::Transformer>,
}

impl CrsTransformer {
    /// Creates a new CRS transformer
    ///
    /// # Arguments
    ///
    /// * `source_crs` - Source CRS (e.g., "EPSG:4326")
    /// * `target_crs` - Target CRS (e.g., "EPSG:3857")
    ///
    /// # Returns
    ///
    /// A new transformer
    ///
    /// # Errors
    ///
    /// Returns error if CRS definitions are invalid
    pub fn new(source_crs: impl Into<String>, target_crs: impl Into<String>) -> Result<Self> {
        let source = source_crs.into();
        let target = target_crs.into();

        // Validate CRS strings
        if source.is_empty() || target.is_empty() {
            return Err(AlgorithmError::InvalidParameter {
                parameter: "crs",
                message: "CRS definition cannot be empty".to_string(),
            });
        }

        #[cfg(feature = "crs-transform")]
        let proj_transformer = Self::build_proj_transformer(&source, &target);

        Ok(Self {
            source_crs: source,
            target_crs: target,
            #[cfg(feature = "crs-transform")]
            proj_transformer,
        })
    }

    /// Attempts to construct an `oxigdal_proj::Transformer` from CRS strings.
    ///
    /// The constructor is deliberately infallible from the caller's perspective:
    /// any initialisation failure is logged at debug level and returns `None`,
    /// which causes `transform_coordinate` to fall back to the hardcoded paths.
    #[cfg(feature = "crs-transform")]
    fn build_proj_transformer(source: &str, target: &str) -> Option<oxigdal_proj::Transformer> {
        let src_crs = Self::parse_crs_string(source).ok()?;
        let tgt_crs = Self::parse_crs_string(target).ok()?;
        match oxigdal_proj::Transformer::new(src_crs, tgt_crs) {
            Ok(t) => Some(t.with_strict(false)),
            Err(e) => {
                tracing::debug!(
                    "oxigdal-proj: could not initialise transformer {} → {}: {}",
                    source,
                    target,
                    e
                );
                None
            }
        }
    }

    /// Parses a CRS identifier string into an `oxigdal_proj::Crs`.
    ///
    /// Recognised formats:
    /// - `EPSG:<code>` (case-insensitive)
    /// - Any string starting with `+proj=` (PROJ string)
    /// - Everything else is passed to `Crs::from_wkt`
    #[cfg(feature = "crs-transform")]
    fn parse_crs_string(s: &str) -> core::result::Result<oxigdal_proj::Crs, oxigdal_proj::Error> {
        let upper = s.trim().to_uppercase();
        if let Some(code_str) = upper.strip_prefix("EPSG:") {
            let code = code_str
                .trim()
                .parse::<u32>()
                .map_err(|_| oxigdal_proj::Error::invalid_epsg_code(0))?;
            oxigdal_proj::Crs::from_epsg(code)
        } else if upper.starts_with("+PROJ=") || upper.starts_with("+proj=") {
            oxigdal_proj::Crs::from_proj(s)
        } else {
            oxigdal_proj::Crs::from_wkt(s)
        }
    }

    /// Creates a transformer from common CRS types
    pub fn from_common(source: CommonCrs, target: CommonCrs) -> Result<Self> {
        Self::new(source.epsg_code(), target.epsg_code())
    }

    /// Transforms a single coordinate
    ///
    /// # Arguments
    ///
    /// * `coord` - Input coordinate in source CRS
    ///
    /// # Returns
    ///
    /// Transformed coordinate in target CRS
    ///
    /// # Errors
    ///
    /// Returns error if transformation fails
    pub fn transform_coordinate(&self, coord: &Coordinate) -> Result<Coordinate> {
        // Special case: Identity transformation — always fast-path, no proj needed.
        if self.source_crs == self.target_crs {
            return Ok(*coord);
        }

        // When the `crs-transform` feature is active and the proj backend was
        // initialised successfully, delegate all non-identity transformations to
        // proj4rs (via oxigdal-proj).  The hardcoded paths below are only reached
        // when the feature is disabled or proj initialisation failed for this pair.
        #[cfg(feature = "crs-transform")]
        if let Some(ref t) = self.proj_transformer {
            return Self::transform_via_proj(t, coord);
        }

        // Hardcoded fast paths (feature off, or proj backend unavailable for pair).

        // WGS84 to Web Mercator (common transformation)
        if self.source_crs == "EPSG:4326" && self.target_crs == "EPSG:3857" {
            return self.wgs84_to_web_mercator(coord);
        }

        // Web Mercator to WGS84
        if self.source_crs == "EPSG:3857" && self.target_crs == "EPSG:4326" {
            return self.web_mercator_to_wgs84(coord);
        }

        // For other transformations, proj integration is required
        Err(AlgorithmError::UnsupportedOperation {
            operation: format!(
                "Coordinate transformation from {} to {} (requires crs-transform feature)",
                self.source_crs, self.target_crs
            ),
        })
    }

    /// Delegates a single coordinate transformation to `oxigdal_proj::Transformer`.
    ///
    /// Error mapping:
    /// - `OutOfAreaOfUse` → coordinate returned unchanged (logged at debug level, not an error).
    ///   This preserves backward-compatibility: callers that worked without the proj backend
    ///   would have received no area-of-use validation at all.
    /// - All other errors → `AlgorithmError::UnsupportedOperation`.
    #[cfg(feature = "crs-transform")]
    fn transform_via_proj(t: &oxigdal_proj::Transformer, coord: &Coordinate) -> Result<Coordinate> {
        let proj_coord = oxigdal_proj::Coordinate::new(coord.x, coord.y);
        match t.transform(&proj_coord) {
            Ok(out) => Ok(Coordinate::new_2d(out.x, out.y)),
            Err(oxigdal_proj::Error::OutOfAreaOfUse { lon, lat, .. }) => {
                tracing::debug!(
                    "oxigdal-proj: point ({}, {}) is outside area of use — returning unchanged",
                    lon,
                    lat
                );
                Ok(*coord)
            }
            Err(e) => Err(AlgorithmError::UnsupportedOperation {
                operation: format!("Coordinate transformation failed: {}", e),
            }),
        }
    }

    /// Transforms multiple coordinates efficiently
    pub fn transform_coordinates(&self, coords: &[Coordinate]) -> Result<Vec<Coordinate>> {
        coords
            .iter()
            .map(|c| self.transform_coordinate(c))
            .collect()
    }

    /// Transforms a point
    pub fn transform_point(&self, point: &Point) -> Result<Point> {
        let transformed = self.transform_coordinate(&point.coord)?;
        Ok(Point::from_coord(transformed))
    }

    /// Transforms a linestring
    pub fn transform_linestring(&self, linestring: &LineString) -> Result<LineString> {
        let coords = self.transform_coordinates(&linestring.coords)?;
        LineString::new(coords).map_err(|e| AlgorithmError::GeometryError {
            message: format!("Failed to create transformed linestring: {}", e),
        })
    }

    /// Transforms a polygon
    pub fn transform_polygon(&self, polygon: &Polygon) -> Result<Polygon> {
        let exterior_coords = self.transform_coordinates(&polygon.exterior.coords)?;
        let exterior =
            LineString::new(exterior_coords).map_err(|e| AlgorithmError::GeometryError {
                message: format!("Failed to create transformed exterior ring: {}", e),
            })?;

        let mut interiors = Vec::new();
        for hole in &polygon.interiors {
            let hole_coords = self.transform_coordinates(&hole.coords)?;
            let hole_ring =
                LineString::new(hole_coords).map_err(|e| AlgorithmError::GeometryError {
                    message: format!("Failed to create transformed interior ring: {}", e),
                })?;
            interiors.push(hole_ring);
        }

        Polygon::new(exterior, interiors).map_err(|e| AlgorithmError::GeometryError {
            message: format!("Failed to create transformed polygon: {}", e),
        })
    }

    /// Transforms a geometry
    pub fn transform_geometry(&self, geometry: &Geometry) -> Result<Geometry> {
        match geometry {
            Geometry::Point(p) => Ok(Geometry::Point(self.transform_point(p)?)),
            Geometry::LineString(ls) => Ok(Geometry::LineString(self.transform_linestring(ls)?)),
            Geometry::Polygon(poly) => Ok(Geometry::Polygon(self.transform_polygon(poly)?)),
            Geometry::MultiPoint(mp) => {
                let mut points = Vec::new();
                for point in &mp.points {
                    points.push(self.transform_point(point)?);
                }
                Ok(Geometry::MultiPoint(MultiPoint { points }))
            }
            Geometry::MultiLineString(mls) => {
                let mut line_strings = Vec::new();
                for ls in &mls.line_strings {
                    line_strings.push(self.transform_linestring(ls)?);
                }
                Ok(Geometry::MultiLineString(MultiLineString { line_strings }))
            }
            Geometry::MultiPolygon(mp) => {
                let mut polygons = Vec::new();
                for poly in &mp.polygons {
                    polygons.push(self.transform_polygon(poly)?);
                }
                Ok(Geometry::MultiPolygon(MultiPolygon { polygons }))
            }
            Geometry::GeometryCollection(gc) => {
                let mut geometries = Vec::new();
                for geom in &gc.geometries {
                    geometries.push(self.transform_geometry(geom)?);
                }
                Ok(Geometry::GeometryCollection(GeometryCollection {
                    geometries,
                }))
            }
        }
    }

    /// WGS84 (EPSG:4326) to Web Mercator (EPSG:3857) transformation
    fn wgs84_to_web_mercator(&self, coord: &Coordinate) -> Result<Coordinate> {
        const EARTH_RADIUS: f64 = 6_378_137.0;

        // Validate latitude range
        if !(-90.0..=90.0).contains(&coord.y) {
            return Err(AlgorithmError::InvalidParameter {
                parameter: "latitude",
                message: format!("Latitude {} is out of range [-90, 90]", coord.y),
            });
        }

        // Web Mercator doesn't work well near poles
        if coord.y.abs() > 85.0511 {
            return Err(AlgorithmError::InvalidParameter {
                parameter: "latitude",
                message: format!(
                    "Latitude {} is too close to poles for Web Mercator (max ±85.0511°)",
                    coord.y
                ),
            });
        }

        let lon_rad = coord.x.to_radians();
        let lat_rad = coord.y.to_radians();

        let x = EARTH_RADIUS * lon_rad;
        let y = EARTH_RADIUS * ((std::f64::consts::PI / 4.0 + lat_rad / 2.0).tan().ln());

        Ok(Coordinate::new_2d(x, y))
    }

    /// Web Mercator (EPSG:3857) to WGS84 (EPSG:4326) transformation
    fn web_mercator_to_wgs84(&self, coord: &Coordinate) -> Result<Coordinate> {
        const EARTH_RADIUS: f64 = 6_378_137.0;

        let lon = (coord.x / EARTH_RADIUS).to_degrees();
        let lat =
            (2.0 * (coord.y / EARTH_RADIUS).exp().atan() - std::f64::consts::PI / 2.0).to_degrees();

        // Clamp to valid ranges
        let lon = lon.clamp(-180.0, 180.0);
        let lat = lat.clamp(-90.0, 90.0);

        Ok(Coordinate::new_2d(lon, lat))
    }
}

/// Transforms a point between coordinate reference systems
///
/// # Arguments
///
/// * `point` - Input point
/// * `source_crs` - Source CRS (e.g., "EPSG:4326")
/// * `target_crs` - Target CRS (e.g., "EPSG:3857")
///
/// # Returns
///
/// Transformed point
///
/// # Errors
///
/// Returns error if transformation fails
pub fn transform_point(point: &Point, source_crs: &str, target_crs: &str) -> Result<Point> {
    let transformer = CrsTransformer::new(source_crs, target_crs)?;
    transformer.transform_point(point)
}

/// Transforms a linestring between coordinate reference systems
pub fn transform_linestring(
    linestring: &LineString,
    source_crs: &str,
    target_crs: &str,
) -> Result<LineString> {
    let transformer = CrsTransformer::new(source_crs, target_crs)?;
    transformer.transform_linestring(linestring)
}

/// Transforms a polygon between coordinate reference systems
pub fn transform_polygon(polygon: &Polygon, source_crs: &str, target_crs: &str) -> Result<Polygon> {
    let transformer = CrsTransformer::new(source_crs, target_crs)?;
    transformer.transform_polygon(polygon)
}

/// Transforms a geometry between coordinate reference systems
pub fn transform_geometry(
    geometry: &Geometry,
    source_crs: &str,
    target_crs: &str,
) -> Result<Geometry> {
    let transformer = CrsTransformer::new(source_crs, target_crs)?;
    transformer.transform_geometry(geometry)
}

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

    #[test]
    fn test_common_crs_epsg_codes() {
        assert_eq!(CommonCrs::Wgs84.epsg_code(), "EPSG:4326");
        assert_eq!(CommonCrs::WebMercator.epsg_code(), "EPSG:3857");
        assert_eq!(
            CommonCrs::Utm {
                zone: 10,
                north: true
            }
            .epsg_code(),
            "EPSG:32610"
        );
        assert_eq!(
            CommonCrs::Utm {
                zone: 33,
                north: false
            }
            .epsg_code(),
            "EPSG:32733"
        );
    }

    #[test]
    fn test_transformer_creation() {
        let transformer = CrsTransformer::new("EPSG:4326", "EPSG:3857");
        assert!(transformer.is_ok());

        let empty = CrsTransformer::new("", "EPSG:3857");
        assert!(empty.is_err());
    }

    #[test]
    fn test_identity_transformation() {
        let transformer = CrsTransformer::new("EPSG:4326", "EPSG:4326");
        assert!(transformer.is_ok());

        if let Ok(t) = transformer {
            let coord = Coordinate::new_2d(10.0, 20.0);
            let result = t.transform_coordinate(&coord);
            assert!(result.is_ok());

            if let Ok(transformed) = result {
                assert!((transformed.x - 10.0).abs() < f64::EPSILON);
                assert!((transformed.y - 20.0).abs() < f64::EPSILON);
            }
        }
    }

    #[test]
    fn test_wgs84_to_web_mercator() {
        let transformer = CrsTransformer::new("EPSG:4326", "EPSG:3857");
        assert!(transformer.is_ok());

        if let Ok(t) = transformer {
            // Transform origin (0, 0)
            let origin = Coordinate::new_2d(0.0, 0.0);
            let result = t.transform_coordinate(&origin);
            assert!(result.is_ok());

            if let Ok(transformed) = result {
                assert!(transformed.x.abs() < 1.0);
                assert!(transformed.y.abs() < 1.0);
            }

            // Transform San Francisco
            let sf = Coordinate::new_2d(-122.4194, 37.7749);
            let result = t.transform_coordinate(&sf);
            assert!(result.is_ok());

            if let Ok(transformed) = result {
                // Web Mercator x should be negative (west of prime meridian)
                assert!(transformed.x < 0.0);
                // y should be positive (north of equator)
                assert!(transformed.y > 0.0);
            }
        }
    }

    #[test]
    fn test_web_mercator_to_wgs84() {
        let transformer = CrsTransformer::new("EPSG:3857", "EPSG:4326");
        assert!(transformer.is_ok());

        if let Ok(t) = transformer {
            // Transform origin
            let origin = Coordinate::new_2d(0.0, 0.0);
            let result = t.transform_coordinate(&origin);
            assert!(result.is_ok());

            if let Ok(transformed) = result {
                assert!(transformed.x.abs() < 1e-6);
                assert!(transformed.y.abs() < 1e-6);
            }
        }
    }

    #[test]
    fn test_round_trip_transformation() {
        let to_merc = CrsTransformer::new("EPSG:4326", "EPSG:3857");
        let to_wgs = CrsTransformer::new("EPSG:3857", "EPSG:4326");

        assert!(to_merc.is_ok());
        assert!(to_wgs.is_ok());

        if let (Ok(t1), Ok(t2)) = (to_merc, to_wgs) {
            let original = Coordinate::new_2d(-122.4194, 37.7749);

            let merc = t1.transform_coordinate(&original);
            assert!(merc.is_ok());

            if let Ok(m) = merc {
                let back = t2.transform_coordinate(&m);
                assert!(back.is_ok());

                if let Ok(b) = back {
                    // Should be close to original (within tolerance)
                    assert!((b.x - original.x).abs() < 1e-6);
                    assert!((b.y - original.y).abs() < 1e-6);
                }
            }
        }
    }

    #[test]
    fn test_transform_point() {
        let point = Point::new(-122.4194, 37.7749);
        let result = transform_point(&point, "EPSG:4326", "EPSG:3857");
        assert!(result.is_ok());

        if let Ok(transformed) = result {
            assert!(transformed.coord.x < 0.0);
            assert!(transformed.coord.y > 0.0);
        }
    }

    #[test]
    fn test_transform_linestring() {
        let coords = vec![
            Coordinate::new_2d(0.0, 0.0),
            Coordinate::new_2d(1.0, 1.0),
            Coordinate::new_2d(2.0, 2.0),
        ];
        let linestring = LineString::new(coords);
        assert!(linestring.is_ok());

        if let Ok(ls) = linestring {
            let result = transform_linestring(&ls, "EPSG:4326", "EPSG:3857");
            assert!(result.is_ok());

            if let Ok(transformed) = result {
                assert_eq!(transformed.coords.len(), 3);
            }
        }
    }

    #[test]
    fn test_transform_polygon() {
        let coords = vec![
            Coordinate::new_2d(0.0, 0.0),
            Coordinate::new_2d(4.0, 0.0),
            Coordinate::new_2d(4.0, 4.0),
            Coordinate::new_2d(0.0, 4.0),
            Coordinate::new_2d(0.0, 0.0),
        ];
        let exterior = LineString::new(coords);
        assert!(exterior.is_ok());

        if let Ok(ext) = exterior {
            let polygon = Polygon::new(ext, vec![]);
            assert!(polygon.is_ok());

            if let Ok(poly) = polygon {
                let result = transform_polygon(&poly, "EPSG:4326", "EPSG:3857");
                assert!(result.is_ok());

                if let Ok(transformed) = result {
                    assert_eq!(transformed.exterior.coords.len(), 5);
                }
            }
        }
    }

    #[test]
    fn test_invalid_latitude() {
        let transformer = CrsTransformer::new("EPSG:4326", "EPSG:3857");
        assert!(transformer.is_ok());

        if let Ok(t) = transformer {
            // Latitude truly out of range (>90°): the Mercator formula produces
            // non-finite values, so this must error regardless of backend.
            let invalid = Coordinate::new_2d(0.0, 95.0);
            let result = t.transform_coordinate(&invalid);
            assert!(result.is_err(), "lat=95 must be rejected");

            // lat=89° is geometrically valid for WGS84 and within the domain of
            // Web Mercator when using a proper proj backend (which can compute it
            // accurately).  The hardcoded fallback imposes a tighter ±85.0511°
            // limit for safety, so we only assert the stricter check when the
            // proj backend is not active.
            #[cfg(not(feature = "crs-transform"))]
            {
                let near_pole = Coordinate::new_2d(0.0, 89.0);
                let result = t.transform_coordinate(&near_pole);
                assert!(
                    result.is_err(),
                    "lat=89 must be rejected by hardcoded fallback"
                );
            }
        }
    }

    #[test]
    fn test_batch_transformation() {
        let transformer = CrsTransformer::new("EPSG:4326", "EPSG:3857");
        assert!(transformer.is_ok());

        if let Ok(t) = transformer {
            let coords = vec![
                Coordinate::new_2d(0.0, 0.0),
                Coordinate::new_2d(1.0, 1.0),
                Coordinate::new_2d(-1.0, -1.0),
            ];

            let result = t.transform_coordinates(&coords);
            assert!(result.is_ok());

            if let Ok(transformed) = result {
                assert_eq!(transformed.len(), 3);
            }
        }
    }

    #[test]
    fn test_from_common_crs() {
        let transformer = CrsTransformer::from_common(CommonCrs::Wgs84, CommonCrs::WebMercator);
        assert!(transformer.is_ok());

        if let Ok(t) = transformer {
            assert_eq!(t.source_crs, "EPSG:4326");
            assert_eq!(t.target_crs, "EPSG:3857");
        }
    }

    // -----------------------------------------------------------------------
    // New tests for the crs-transform feature (proj backend integration)
    // -----------------------------------------------------------------------

    /// Identity transformation: source == target == EPSG:4326.
    /// Output coordinate must be numerically identical to input.
    #[test]
    fn test_crs_transformer_wgs84_identity_passthrough() {
        let transformer = CrsTransformer::new("EPSG:4326", "EPSG:4326")
            .expect("identity transformer must construct");

        let input = Coordinate::new_2d(13.4050, 52.5200); // Berlin
        let output = transformer
            .transform_coordinate(&input)
            .expect("identity transform must succeed");

        assert!(
            (output.x - input.x).abs() < f64::EPSILON,
            "x must be unchanged: {} != {}",
            output.x,
            input.x
        );
        assert!(
            (output.y - input.y).abs() < f64::EPSILON,
            "y must be unchanged: {} != {}",
            output.y,
            input.y
        );
    }

    /// A polygon with 5 vertices (closed ring) must produce exactly 5 output vertices
    /// regardless of which CRS path is used.
    #[test]
    fn test_crs_transformer_polygon_preserves_vertex_count() {
        let coords = vec![
            Coordinate::new_2d(-10.0, -10.0),
            Coordinate::new_2d(10.0, -10.0),
            Coordinate::new_2d(10.0, 10.0),
            Coordinate::new_2d(-10.0, 10.0),
            Coordinate::new_2d(-10.0, -10.0), // closing vertex
        ];
        let exterior = LineString::new(coords).expect("linestring must construct");
        let polygon = Polygon::new(exterior, vec![]).expect("polygon must construct");

        // Use WGS84 → Web Mercator (always supported, with or without crs-transform feature)
        let transformer =
            CrsTransformer::new("EPSG:4326", "EPSG:3857").expect("transformer must construct");
        let result = transformer
            .transform_polygon(&polygon)
            .expect("polygon transform must succeed");

        assert_eq!(
            result.exterior.coords.len(),
            5,
            "transformed polygon must retain 5 vertices"
        );
    }

    /// When `crs-transform` feature is OFF (or proj fails for an exotic pair),
    /// `CrsTransformer::new` must still succeed and `transform_coordinate` must
    /// either return `UnsupportedOperation` or a valid result — never panic.
    #[test]
    fn test_crs_transformer_unknown_epsg_falls_back_gracefully() {
        // EPSG:32637 is WGS 84 / UTM zone 37N.  Without the feature, the hardcoded
        // paths don't cover it, so we expect either UnsupportedOperation or a
        // successful transform (when proj backend is available).
        let result = CrsTransformer::new("EPSG:4326", "EPSG:32637");
        // Construction must always succeed
        assert!(
            result.is_ok(),
            "CrsTransformer::new must not fail for any non-empty CRS string"
        );

        let transformer = result.expect("already asserted Ok above");
        let coord = Coordinate::new_2d(37.0, 55.0);
        let transform_result = transformer.transform_coordinate(&coord);

        // Either UnsupportedOperation (no-feature) or a valid coordinate (with-feature).
        // The invariant: it must NOT panic, and if Err it must be UnsupportedOperation.
        if let Err(ref e) = transform_result {
            assert!(
                matches!(e, AlgorithmError::UnsupportedOperation { .. }),
                "unexpected error variant: {:?}",
                e
            );
        }
        // If Ok, the coordinate must be finite
        if let Ok(ref c) = transform_result {
            assert!(c.x.is_finite() && c.y.is_finite(), "output must be finite");
        }
    }

    /// WGS84 origin (0°, 0°) must map to Web Mercator origin (0, 0) — this is
    /// a well-known property of the Mercator projection.
    #[test]
    fn test_crs_transformer_wgs84_to_webmercator_known_point() {
        let transformer =
            CrsTransformer::new("EPSG:4326", "EPSG:3857").expect("transformer must construct");

        let origin = Coordinate::new_2d(0.0, 0.0);
        let result = transformer
            .transform_coordinate(&origin)
            .expect("transform of origin must succeed");

        assert!(
            result.x.abs() < 1.0,
            "Web Mercator X at lon=0 must be ~0, got {}",
            result.x
        );
        assert!(
            result.y.abs() < 1.0,
            "Web Mercator Y at lat=0 must be ~0, got {}",
            result.y
        );
    }
}