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xarray.py
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import numpy as np
import xarray as xr
import pandas as pd
from functools import reduce
from .cartopy import transform_points
def transform_dataset(ds, coords, from_crs, to_crs):
"""
Transform coordinates of a Dataset or DataArray.
Output can be directly assigned into a dataset.
Arguments
---------
ds: xarray dataset
coords: iterable of dimension, coordinates, or data variable names
that hold the coordinates to be transformed
from_crs, to_crs: cartopy CRS instances
"""
x = ds[coords[0]]
y = ds[coords[1]]
x, y = xr.broadcast(x, y) # coerce to at least 2D
dims = x.dims
xp, yp = transform_points(from_crs, to_crs, x.values, y.values)
return ((dims, xp), (dims, yp))
def crop(ds, **constraints):
"""
Crop an xarray dataset.
Discards all coordinates where a given coordinate or data variable is outside
the bounds given by the respective tuple.
Arguments
---------
ds: Dataset
constraints: dict, where keys are the name of a coordinate or data_var,
and values are tuples that will bound that coordinate or data_var.
"""
ds = ds.set_coords(list(constraints))
# set nan
for var, (varmin, varmax) in constraints.items():
ds = ds.where((ds[var]>varmin) & (ds[var]<varmax))
# crop array
for dim in ds.dims:
other_dims = [d for d in ds.dims if d != dim]
all_nans = [ds[var].isnull().all(other_dims) for var in ds.data_vars]
all_nan = reduce(lambda x, y: x&y, all_nans)
ds = ds.isel({dim: ~all_nan})
return ds
def apply_1d(over_da, func, dim, **kwargs):
"""
For those occasions where you'd think that ds.reduce() should do the trick,
but you somehow don't have a function that already handles ndarrays.
Parameters
----------
over_da : xarray DataArray or list thereof
func : Function that can handle a 1-dimensional ndarray
dim : Dimension over which to apply func
Usage
-----
e.g.: apply_1d(da, ols, dim='Depth', param='slope')
License
-------
GNU-GPLv3, (C) A. Randelhoff
(https://github.com/poplarShift/python-data-science-utils)
"""
if not isinstance(over_da, list):
over_da = [over_da]
da_dropped = over_da[0].isel({dim: 0}).drop(dim)
dims = da_dropped.coords.dims
results = np.nan * da_dropped
for idx, _ in np.ndenumerate(da_dropped):
sel_dict = {c: i for c, i in zip(dims, idx)}
res = func(
*(da[sel_dict] for da in over_da),
**kwargs
)
results[sel_dict] = res
return results
def critical_index_value(vals, crit_val, dim, smaller_than):
"""
Find the first value of an index (`dim`: str) where some value (`vals`: xr.DataArray) becomes
larger or smaller (`smaller_than`: bool) than `crit_val` (float).
Example
-----
To find Zeu, where iPAR drops below 1% of surface iPAR0-:
ds['Zeu'] = critical_index_value(ds['iPAR']/ds['iPAR0minus'], 0.01, 'Depth', True)
"""
if smaller_than:
criterion = vals<crit_val
else:
criterion = vals>crit_val
idx = criterion.reduce(np.argmax, dim=dim) #True>False
return xr.where(idx>0, vals[dim].isel(**{dim:idx}), np.nan)
def ols(da, param='slope'):
"""
Apply statsmodel's OLS regression to a 1d DataArray.
Handles datetimes (in that case, regression is against days).
Parameters
----------
data : xarray DataArray
str, one of ['slope', 'intercept', 'slope_pvalue',
'intercept_pvalue', 'slope_se', 'intercept_se',]
sought-after regression parameter
Notes
-----
https://www.statsmodels.org/dev/generated/statsmodels.regression.linear_model.OLS.html
License
-------
GNU-GPLv3, (C) A. Randelhoff
(https://github.com/poplarShift/python-data-science-utils)
"""
import statsmodels.api as sm
data = da.dropna(dim=da.dims[0])
# specify function with which to retrieve sought-after
# parameter from statsmodels RegressionResultsWrapper
res_fn = {
'intercept': lambda res: res.params[0],
'slope': lambda res: res.params[1],
'intercept_pvalue': lambda res: res.pvalues[0],
'slope_pvalue': lambda res: res.pvalues[1],
'intercept_se': lambda res: res.bse[0],
'slope_se': lambda res: res.bse[1],
}
if len(data)>=2:
y = data.values
xdata = data[data.dims[0]]
if xdata.dtype.kind in ['M']:
x = xdata.astype(float).values/1e9/86400.
else:
x = xdata.values
ols = sm.OLS(y, sm.add_constant(x))
res = ols.fit()
return res_fn[param](res)
else:
return np.nan
# implement precision for uniqueness?
# np.round(12.3456789, decimals=4)
# np.unique(ds.longitude.isel(profile_id=0))[2]
def get_unique(x, axis=0):
"""
Return unique non-nan value along specified xarray axis.
Use this to squeeze out dimensions with length>1.
Raises
------
ValueError: if there are more than one non-nan values
Usage
-----
ds.reduce(get_unique, dim=some_dim)
License
-------
GNU-GPLv3, (C) A. Randelhoff
(https://github.com/poplarShift/python-data-science-utils)
"""
is_obj = x.dtype.char == 'O'
is_dt = np.issubdtype(x.dtype, np.datetime64)
x_ = np.moveaxis(x, source=axis, destination=-1)
iteridx = x_.shape[:-1]
if is_dt:
u = np.zeros(iteridx, dtype=x.dtype)
elif is_obj:
u = np.zeros(iteridx, dtype=x.dtype)
else: # numeric
u = np.nan*np.zeros(iteridx)
if not isinstance(u, np.ndarray):
# if iteridx was empty tuple
u = np.array(u)
isnull = lambda x: pd.isnull(x) | (x == '')
for i in np.ndindex(iteridx):
u_1dim = np.unique(x_[i])
u_non_null = u_1dim[~isnull(u_1dim)]
if len(u_non_null)==1:
u[i] = u_non_null[0]
elif isnull(u_1dim[0]):
if is_dt:
u[i] = np.datetime64('NaT')
elif is_obj:
u[i] = ''
else:
u[i] = np.nan
else:
raise ValueError(f'Non-unique slices encountered at {i}!')
return u