surface_direction() returns wrong bearings on dask rasters: block-local pixel indices subtracted from global source indices

Start in xrspatial/surface_distance.py at _run_tile(), _extract_output(), and _finalize_direction(), then read xrspatial/tests/test_surface_distance.py and the existing dask parity tests. Verify that iterative dask surface_direction results match the numpy result for chunked rasters, while bounded map_overlap behavior remains correct. Include coverage for the dask and dask+cupy routes described in the issue.

What happens

surface_direction() returns wrong compass bearings when the input is a
dask-backed DataArray and the run takes the iterative tile-Dijkstra path
(the default, since max_distance defaults to np.inf). The numpy and
cupy backends are correct; so is the bounded dask path that goes through
map_overlap.

On a 12x12 raster with two sources and chunks=(6, 6), 105 of 144 pixels
disagree with the numpy answer.

Why

_run_tile() records global source indices:

src_row[r, c] = r + row_offset
src_col[r, c] = c + col_offset

(xrspatial/surface_distance.py:963-964)

_finalize_direction() then subtracts block-local pixel indices:

row_idx, col_idx = np.meshgrid(np.arange(H), np.arange(W), indexing='ij')
dx = (src_col.astype(np.float64) - col_idx) * cellsize_x
dy = (src_row.astype(np.float64) - row_idx) * cellsize_y

(xrspatial/surface_distance.py:366-370, reached from _assemble_sd ->
_extract_output at :1177)

H, W there are the chunk's shape, so every chunk except the top-left one
measures the bearing from the wrong origin. The offset error equals the
chunk's (row_offset, col_offset).

The eager numpy path is unaffected because _surface_distance_numpy()
seeds src_row/src_col through _seed_sources(), which stores plain
r/c — global and local coincide when there is one block. The bounded
dask path is unaffected for the same reason: _make_sd_chunk_func() calls
_surface_distance_numpy() on the padded block, so both sides of the
subtraction are block-local.

Reproduction

import warnings
import numpy as np
import xarray as xr
import dask.array as da

from xrspatial import surface_direction

source = np.zeros((3, 3))
source[1, 1] = 1.0
elevation = np.zeros((3, 3))


def _da(arr, chunks=None):
    n, m = arr.shape
    d = xr.DataArray(arr, dims=['y', 'x'])
    d['y'] = np.arange(n)[::-1]
    d['x'] = np.arange(m)
    if chunks is not None:
        d.data = da.from_array(d.data, chunks=chunks)
    return d


print(surface_direction(_da(source), _da(elevation)).values)
with warnings.catch_warnings():
    warnings.simplefilter("ignore")
    print(surface_direction(_da(source, chunks=(2, 2)),
                            _da(elevation, chunks=(2, 2))).compute().values)

Observed:

numpy:
[[135. 180. 225.]
 [ 90.   0. 270.]
 [ 45. 360. 315.]]
dask+numpy (chunks=(2, 2)):
[[135. 180. 135.]
 [ 90.   0.  90.]
 [135. 180. 135.]]

The source sits at the centre. Pixel (1, 2) is east of it, so the bearing
back to the source is west (270). The dask answer says 90 (east) because
column 2 lives in its own chunk and gets local index 0.

Larger case, 12x12 with chunks=(6, 6):

bounded map_overlap path matches numpy: True
iterative path matches numpy: False
iterative path: 105/144 pixels differ
numpy row 0: [135. 153.43 180. 206.57 225. 236.31 243.43 248.20 251.57 254.05 255.96 192.53]
dask  row 0: [135. 153.43 180. 206.57 225. 236.31 135. 153.43 180. 206.57 225. 156.04]

dask+cupy takes the same route (_surface_distance_dask_cupy() converts to
dask+numpy for the unbounded case) and reproduces the same wrong values.

Why it was not caught

xrspatial/tests/test_surface_distance.py only ever calls
surface_direction() on numpy-backed rasters. The dask parity tests
(test_dask_matches_numpy_*) cover surface_distance and
surface_allocation but not surface_direction.

Suggested fix

Pass the tile's row_offset / col_offset into _extract_output() /
_finalize_direction() so the pixel grid is built in the same coordinate
space as src_row/src_col, and add a dask-vs-numpy parity test for
surface_direction covering both the bounded and iterative branches, plus
cupy and dask+cupy.

Provenance

Found by /sweep-documentation on surface_distance while checking the
Returns and backend claims in the public docstrings against what the four
backends actually produce. Filed separately from the documentation fix
because the docstring is right and the code is wrong.