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Boundary semantics

LocateTile uses unambiguous, verifier-friendly boundary rules.

  • Longitude is half-open: [-180°, +180°)
  • Latitude includes poles: [-90°, +90°]
  • Tile assignment uses floor semantics
  • Points exactly on a tile edge map to the tile with the lower index
  • The North Pole maps deterministically to the topmost row (iy = NY - 1)

These rules prevent ambiguity and cross-implementation disagreement.