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xdggs-burin

The rHEALPix discrete global grid for xdggs, computed by burin-core: cell centres, point lookup, cell boundaries, zooming between levels, and a 32-byte fingerprint of any set of cells.

The grid is the OGC-registered rHEALPix DGGRS (+proj=rhealpix +lon_0=50 +ellps=WGS84): six base cells, each split into nine equal-area children at every level. Geometry agrees with the reference implementation (rhealpixdggs-py) and the sub-zone order and neighbours with DGGAL, the OGC API - DGGS reference library.

Install

pip install xdggs-burin

Use

import numpy as np
import xarray as xr
import xdggs
import xdggs_burin  # registers the "rhealpix.burin" grid with xdggs

lon = np.linspace(-0.3, 0.2, 100)
lat = np.linspace(51.3, 51.7, 100)
cells = np.unique(xdggs_burin.RHEALPixInfo(level=8).geographic2cell_ids(lon, lat))  # one row per cell

ds = xr.Dataset(
    {"value": ("cells", np.arange(cells.size, dtype=float))},
    coords={"cell_ids": ("cells", cells, {"grid_name": "rhealpix.burin", "level": 8})},
)
ds = xdggs.decode(ds)

ds.dggs.cell_centers()          # longitude and latitude of each cell's nucleus
ds.dggs.cell_boundaries()       # shapely polygons
ds.dggs.sel_latlon(lat[:3], lon[:3])
ds.dggs.zoom_to(6)              # parents; a finer level gives the children
ds.dggs.index.fingerprint()     # 64 hex characters, the same for any dataset over the same cells

The fingerprint does not depend on the order of the cells, on duplicates, or on how they were produced: nine cells that make up a parent hash as the parent. index.to_dggs_json() writes the cells as OGC API - DGGS zone data (DGGS-JSON), and xdggs_burin.from_dggs_json(doc) reads such a document back into a dataset.

The grid

attribute value
grid_name rhealpix.burin
level 0 to 15 (aliases: resolution, refinement_level); 6 * 9**level cells
indexing_scheme cid (the default and only value)
lon_0, north_square, south_square, ellipsoid optional; must be 50, 0, 0, WGS84

Cell ids are burin cell ids (cid): at level r they are the integers from 9**(r + 1) up to 15 * 9**r, nested, so a cell's ancestors and descendants are integer arithmetic and the whole grid at a level is one contiguous range. They are a different encoding from the zone ids of other rHEALPix plugins such as rhealpix.dggal; the text form (burin.cid_to_suid, e.g. "Q453") is the OGC zone identifier.

Cell boundaries are counterclockwise rings in longitude and latitude. Equatorial cells are their four corners, since their edges are meridians and parallels; polar cells are densified. A cell that crosses the antimeridian has longitudes past 180, and each polar cap is closed through its pole.

Polygons are drawings: a point on or very near an edge can fall outside the polygon of the cell it belongs to. Decide which cell a point is in with geographic2cell_ids (or ds.dggs.sel_latlon), never with a polygon test. Cell assignment is bit-for-bit deterministic on every platform.

Development

uv sync --extra test   # uses a burin-core checkout at ../burin-core
uv run pytest

License

Apache-2.0.

Release files for xdggs-burin 0.1.0

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