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  • polyval: Use Horner's algorithm + support chunked inputs · 5 ✖

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  • MEMBER · 5 ✖
id html_url issue_url node_id user created_at updated_at ▲ author_association body reactions performed_via_github_app issue
1118973967 https://github.com/pydata/xarray/pull/6548#issuecomment-1118973967 https://api.github.com/repos/pydata/xarray/issues/6548 IC_kwDOAMm_X85CsjAP max-sixty 5635139 2022-05-05T19:33:53Z 2022-05-05T19:33:53Z MEMBER

Thanks @headtr1ck !

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  polyval: Use Horner's algorithm + support chunked inputs 1221848774
1118960785 https://github.com/pydata/xarray/pull/6548#issuecomment-1118960785 https://api.github.com/repos/pydata/xarray/issues/6548 IC_kwDOAMm_X85CsfyR dcherian 2448579 2022-05-05T19:17:24Z 2022-05-05T19:17:24Z MEMBER

Forcing the user to be explicit reduces bugs and user support requests :) so we like to do that.

Thanks again @headtr1ck this is a great PR!

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  polyval: Use Horner's algorithm + support chunked inputs 1221848774
1115117344 https://github.com/pydata/xarray/pull/6548#issuecomment-1115117344 https://api.github.com/repos/pydata/xarray/issues/6548 IC_kwDOAMm_X85Cd1cg dcherian 2448579 2022-05-02T16:52:59Z 2022-05-02T16:52:59Z MEMBER

Nice this looks like an improvement for everything other than dask arrays with only 100 elements, which is not a good use-case for dask.

I was slightly concerned that the recrusive algorithm wouldn't work well with dask but it does seem to work better.

``` python def other_polyval(coord, coeffs, degree_dim="degree"): x = coord.data

deg_coord = coeffs[degree_dim]
N = int(deg_coord.max()) + 1

lhs = xr.DataArray(
    np.stack([x ** (N - 1 - i) for i in range(N)], axis=1),
    dims=(coord.name, degree_dim),
    coords={
        coord.name: coord.data,
        degree_dim: np.arange(deg_coord.max() + 1)[::-1],
    },
)
return xr.dot(lhs, coeffs, dims=degree_dim)

coeffs = xr.DataArray(np.random.randn(2), dims="degree") da = xr.DataArray(dask.array.random.random((10**6), chunks=(10000)), dims=("x")) print(len(da.data.dask)) print(len(xr.polyval(da, coeffs).data.dask)) print(len(other_polyval(da, coeffs).data.dask)) 100 502 1005 ```

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  polyval: Use Horner's algorithm + support chunked inputs 1221848774
1114366068 https://github.com/pydata/xarray/pull/6548#issuecomment-1114366068 https://api.github.com/repos/pydata/xarray/issues/6548 IC_kwDOAMm_X85Ca-B0 max-sixty 5635139 2022-05-01T23:24:56Z 2022-05-01T23:24:56Z MEMBER

Benchmark did not succeed since the inputs are not compatible with the old algorith... Do we change it such that it is compatible?

If you're confident this is faster and it's not a trivial amount of work to adjust them, I would leave it...

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  polyval: Use Horner's algorithm + support chunked inputs 1221848774
1114054278 https://github.com/pydata/xarray/pull/6548#issuecomment-1114054278 https://api.github.com/repos/pydata/xarray/issues/6548 IC_kwDOAMm_X85CZx6G max-sixty 5635139 2022-04-30T21:07:10Z 2022-04-30T21:07:10Z MEMBER

This looks like excellent code @headtr1ck , especially so for a first PR. Welcome!

so I used a "hack" of adding an 0-valued DataArray/Dataset.

I think it's fine to do the hack and reference that issue; we can clean it up then (though if others have ideas then great).

I had to add a copy(deep=True) since the broadcast returned a read-only DataArray. Any better ideas?

IIRC we generally leave this up to the caller (and generally discourage mutation).


Someone who knows better should review the algo & opine on the datetime issue; I agree I'm not sure whether we need to support them.

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  polyval: Use Horner's algorithm + support chunked inputs 1221848774

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