Implement S2CellIndex and S2ClosestCellQuery

[benjamin-cooper-ai]

This is an implementation of S2CellIndex. Making this useful required implementing S2ClosestCellQuery and S2ClosestEdgeQuery.

I tried to test this as well as possible - I ported over a union of tests from the C++ library, the Golang library, and added some other example tests that match what those libraries return.

Let me know what I can add to build confidence here!

Fixes #1

[benjamin-cooper-ai]

Am a little nervous here, public tests for S2 are not great. Current coverage stats:

ℹ file                         | line % | branch % | funcs % | uncovered lines
ℹ -------------------------------------------------------------------------------------------
ℹ geojson                      |        |          |         | 
ℹ  geometry.ts                 |  91.07 |    82.50 |   78.57 | 18 53-56
ℹ  linestring.ts               |  92.68 |    83.33 |   93.33 | 33-35
ℹ  loop.ts                     |  94.44 |    80.65 |   84.21 | 19 31 67-68
ℹ  point.ts                    | 100.00 |    83.33 |  100.00 | 
ℹ  polygon.ts                  |  87.80 |    85.71 |  100.00 | 22-24 37-38
ℹ  position.ts                 | 100.00 |    91.30 |  100.00 | 
ℹ  rect.ts                     |  98.21 |    92.31 |  100.00 | 27
ℹ  RegionCoverer.ts            |  97.24 |    75.61 |  100.00 | 15 96-98
ℹ  testing.ts                  | 100.00 |    88.46 |  100.00 | 
ℹ r1                           |        |          |         | 
ℹ  Interval.ts                 | 100.00 |    97.37 |  100.00 | 
ℹ  math.ts                     |  97.80 |    95.45 |  100.00 | 76 78
ℹ r2                           |        |          |         | 
ℹ  Point.ts                    |  97.40 |    93.10 |  100.00 | 70-71
ℹ  Rect.ts                     |  96.85 |    94.44 |   94.59 | 24 71-73 122-124 142
ℹ r3                           |        |          |         | 
ℹ  PreciseVector.ts            |  97.44 |    92.86 |   96.30 | 63-64 108 115
ℹ  Vector.ts                   |  98.95 |    95.83 |  100.00 | 91-92
ℹ s1                           |        |          |         | 
ℹ  angle_constants.ts          | 100.00 |   100.00 |  100.00 | 
ℹ  angle.ts                    |  97.73 |    94.44 |   90.00 | 64-65
ℹ  chordangle_constants.ts     | 100.00 |    93.33 |  100.00 | 
ℹ  chordangle.ts               |  94.70 |    93.59 |   95.35 | 68-78 90-92
ℹ  Interval_constants.ts       | 100.00 |   100.00 |  100.00 | 
ℹ  Interval.ts                 | 100.00 |    97.18 |   97.50 | 
ℹ s2                           |        |          |         | 
ℹ  Cap.ts                      | 100.00 |    92.19 |   93.75 | 
ℹ  Cell.ts                     |  96.70 |    95.14 |   89.13 | 94-95 143-154 156-157 182 22…
ℹ  cellid_constants.ts         |  96.55 |    93.75 |  100.00 | 19
ℹ  cellid.ts                   |  97.59 |    95.19 |   94.26 | 39 148 207 407-422
ℹ  CellIndex.ts                |  98.41 |    91.49 |   92.86 | 82-84 119-121 154 157
ℹ  CellUnion.ts                |  98.49 |    90.15 |   89.47 | 164 195 211 213-216
ℹ  centroids.ts                | 100.00 |    83.33 |  100.00 | 
ℹ  ClosestCellQuery.ts         |  93.95 |    90.32 |   77.59 | 10 50-51 60 72-74 83 85-88 1…
ℹ  ClosestEdgeQuery.ts         |  87.55 |    87.10 |   79.00 | 97-99 101-107 116 124-127 13…
ℹ  ContainsPointQuery.ts       |  99.39 |    89.66 |   95.00 | 12
ℹ  ContainsVertexQuery.ts      | 100.00 |    91.30 |  100.00 | 
ℹ  CrossingEdgeQuery.ts        |  95.99 |    90.20 |   96.55 | 54 138-149 258
ℹ  edge_clipping.ts            |  96.27 |    98.73 |   81.48 | 25 28-30 57 306-319
ℹ  edge_crossings.ts           |  89.34 |    86.27 |   71.88 | 66-68 89 123-128 138-148 157…
ℹ  edge_distances.ts           |  93.69 |    93.94 |   64.86 | 85-86 145-163 165-170
ℹ  EdgeCrosser.ts              |  99.57 |    96.43 |  100.00 | 13
ℹ  EdgeVectorShape.ts          |  91.34 |    90.91 |   79.17 | 22-23 69-70 72-74 76 86-88
ℹ  LatLng.ts                   |  96.04 |    86.67 |  100.00 | 40-42 97
ℹ  LaxLoop.ts                  |  86.60 |    84.62 |   83.33 | 36-38 56-62 64-66
ℹ  LaxPolygon.ts               |  89.62 |    81.82 |   84.62 | 39 64-77 79-85
ℹ  LaxPolyline.ts              |  86.52 |    90.48 |   78.26 | 41 58-60 62-64 70-73 75
ℹ  lookupIJ.ts                 | 100.00 |    95.45 |  100.00 | 
ℹ  Loop.ts                     |  81.14 |    87.40 |   78.64 | 19 93-98 102-104 129-135 140…
ℹ  matrix3x3.ts                | 100.00 |    94.29 |  100.00 | 
ℹ  Metric_constants.ts         |  92.21 |    92.59 |  100.00 | 13 55-59
ℹ  Metric.ts                   | 100.00 |    90.63 |  100.00 | 
ℹ  PaddedCell.ts               | 100.00 |    93.94 |  100.00 | 
ℹ  point_measures.ts           | 100.00 |    92.86 |  100.00 | 
ℹ  Point.ts                    |  97.46 |    92.31 |   80.56 | 32-34 95-97 108 123
ℹ  PointVector.ts              |  91.14 |    95.24 |   90.91 | 63-66 68-70
ℹ  Polygon.ts                  |  96.06 |    87.98 |   90.16 | 46 51 57 60 63-70 78 83-89 2…
ℹ  Polyline.ts                 |  98.48 |    94.78 |   85.71 | 81-83 131-132 134 141
ℹ  predicates.ts               |  94.86 |    96.92 |   77.55 | 34 201-205 208 212-218 223-2…
ℹ  Rect.ts                     |  94.97 |    89.47 |   91.67 | 17 35-36 134-140 205 218-220…
ℹ  RectBounder.ts              |  98.75 |    93.48 |  100.00 | 47-48
ℹ  Region.ts                   |  98.48 |    81.82 |   57.14 | 32
ℹ  RegionCoverer.ts            |  98.65 |    90.91 |   90.57 | 23 111-113 182-183 203-204 2…
ℹ  Shape.ts                    |  89.44 |    89.13 |   52.38 | 25 44 56 77 85 87-90 92-100 …
ℹ  ShapeIndex.ts               |  92.29 |    91.53 |   79.41 | 93-96 139-146 169 205 284-28…
ℹ  ShapeIndexCell.ts           |  90.77 |    91.30 |   78.95 | 42 59 61-62 64-65
ℹ  ShapeIndexClippedShape.ts   |  97.06 |    91.67 |   94.12 | 14 48
ℹ  ShapeIndexIterator.ts       |  92.61 |    88.14 |  100.00 | 15 57-61 87-90 127-131
ℹ  ShapeIndexRegion.ts         |  98.17 |    76.67 |  100.00 | 16 28
ℹ  ShapeIndexTracker.ts        |  89.33 |    90.00 |   86.96 | 108-113 115-123 125
ℹ  shapeutil.ts                |  95.63 |    85.19 |   85.19 | 76-82 110-111 136
ℹ  stuv.ts                     |  98.44 |    97.06 |  100.00 | 125-131
ℹ  testing_pseudo.ts           | 100.00 |    95.24 |   88.89 | 
ℹ  testing_textformat.ts       |  94.04 |    79.07 |   93.94 | 32-33 76-78 106 112-114
ℹ  testing.ts                  |  96.02 |    94.29 |   96.55 | 26-27 186-192
ℹ  util.ts                     |  85.25 |    91.89 |   83.33 | 16-19 34 58-61
ℹ  wedge_relations.ts          | 100.00 |    97.22 |  100.00 | 

Collected with node --experimental-test-coverage --import tsx --test [^_]**/[^_]*_test.ts

[missinglink]

Fantastic thanks @benjamin-cooper-ai it might take me some time to review, thanks for all your work