from __future__ import (absolute_import, division, print_function) from collections import OrderedDict import numpy as np from .util import extract_vars, get_id, get_iterable, is_mapping, to_np from .py3compat import viewkeys from .latlonutils import _lat_varname, _lon_varname, _ll_to_xy, _xy_to_ll from .metadecorators import set_latlon_metadata from .constants import Constants, ProjectionTypes from .config import xarray_enabled if xarray_enabled(): from xarray import DataArray def get_lat(wrfin, timeidx=0, method="cat", squeeze=True, cache=None, meta=True, _key=None, stagger=None): """Return the two dimensional latitude coordinate variable. This functions extracts the necessary variables from the NetCDF file object in order to perform the calculation. Args: wrfin (:class:`netCDF4.Dataset`, :class:`Nio.NioFile`, or an \ iterable): WRF-ARW NetCDF data as a :class:`netCDF4.Dataset`, :class:`Nio.NioFile` or an iterable sequence of the aforementioned types. timeidx (:obj:`int` or :data:`wrf.ALL_TIMES`, optional): The desired time index. This value can be a positive integer, negative integer, or :data:`wrf.ALL_TIMES` (an alias for None) to return all times in the file or sequence. The default is 0. method (:obj:`str`, optional): The aggregation method to use for sequences. Must be either 'cat' or 'join'. 'cat' combines the data along the Time dimension. 'join' creates a new dimension for the file index. The default is 'cat'. squeeze (:obj:`bool`, optional): Set to False to prevent dimensions with a size of 1 from being automatically removed from the shape of the output. Default is True. cache (:obj:`dict`, optional): A dictionary of (varname, ndarray) that can be used to supply pre-extracted NetCDF variables to the computational routines. It is primarily used for internal purposes, but can also be used to improve performance by eliminating the need to repeatedly extract the same variables used in multiple diagnostics calculations, particularly when using large sequences of files. Default is None. meta (:obj:`bool`, optional): Set to False to disable metadata and return :class:`numpy.ndarray` instead of :class:`xarray.DataArray`. Default is True. _key (:obj:`int`, optional): A caching key. This is used for internal purposes only. Default is None. stagger (:obj:`str`): By default, the latitude is returned on the mass grid, but a staggered grid can be chosen with the following options: - 'm': Use the mass grid (default). - 'u': Use the same staggered grid as the u wind component, which has a staggered west_east (x) dimension. - 'v': Use the same staggered grid as the v wind component, which has a staggered south_north (y) dimension. Returns: :class:`xarray.DataArray` or :class:`numpy.ndarray`: The two dimensional latitude coordinate variable. If xarray is enabled and the *meta* parameter is True, then the result will be a :class:`xarray.DataArray` object. Otherwise, the result will be a :class:`numpy.ndarray` object with no metadata. """ varname = _lat_varname(wrfin, stagger) lat_var = extract_vars(wrfin, timeidx, varname, method, squeeze, cache, meta, _key) return lat_var[varname] def get_lon(wrfin, timeidx=0, method="cat", squeeze=True, cache=None, meta=True, _key=None, stagger=None): """Return the two dimensional longitude coordinate variable. This functions extracts the necessary variables from the NetCDF file object in order to perform the calculation. Args: wrfin (:class:`netCDF4.Dataset`, :class:`Nio.NioFile`, or an \ iterable): WRF-ARW NetCDF data as a :class:`netCDF4.Dataset`, :class:`Nio.NioFile` or an iterable sequence of the aforementioned types. timeidx (:obj:`int` or :data:`wrf.ALL_TIMES`, optional): The desired time index. This value can be a positive integer, negative integer, or :data:`wrf.ALL_TIMES` (an alias for None) to return all times in the file or sequence. The default is 0. method (:obj:`str`, optional): The aggregation method to use for sequences. Must be either 'cat' or 'join'. 'cat' combines the data along the Time dimension. 'join' creates a new dimension for the file index. The default is 'cat'. squeeze (:obj:`bool`, optional): Set to False to prevent dimensions with a size of 1 from being automatically removed from the shape of the output. Default is True. cache (:obj:`dict`, optional): A dictionary of (varname, ndarray) that can be used to supply pre-extracted NetCDF variables to the computational routines. It is primarily used for internal purposes, but can also be used to improve performance by eliminating the need to repeatedly extract the same variables used in multiple diagnostics calculations, particularly when using large sequences of files. Default is None. meta (:obj:`bool`, optional): Set to False to disable metadata and return :class:`numpy.ndarray` instead of :class:`xarray.DataArray`. Default is True. _key (:obj:`int`, optional): A caching key. This is used for internal purposes only. Default is None. stagger (:obj:`str`): By default, the longitude is returned on the mass grid, but a staggered grid can be chosen with the following options: - 'm': Use the mass grid (default). - 'u': Use the same staggered grid as the u wind component, which has a staggered west_east (x) dimension. - 'v': Use the same staggered grid as the v wind component, which has a staggered south_north (y) dimension. Returns: :class:`xarray.DataArray` or :class:`numpy.ndarray`: The two dimensional longitude coordinate variable. If xarray is enabled and the *meta* parameter is True, then the result will be a :class:`xarray.DataArray` object. Otherwise, the result will be a :class:`numpy.ndarray` object with no metadata. """ varname = _lon_varname(wrfin, stagger) lon_var = extract_vars(wrfin, timeidx, varname, method, squeeze, cache, meta, _key) return lon_var[varname] def _llxy_mapping(wrfin, x_or_lat, y_or_lon, func, timeidx, stagger, squeeze, meta, as_int=None): """Return the x,y/lat,lon coordinates for a dictionary input. The leftmost dimension(s) for the result is: - return_val[key,...,0,...] will contain the x/lat values. - return_val[key,...,1,...] will contain the y/lon values. Nested dictionaries are allowed. Args: wrfin (:obj:`dict`): A mapping of key name to a WRF NetCDF file object or sequence of WRF NetCDF file objects. x_or_lat (:obj:`float` or sequence): A single latitude/x value or a sequence of latitude/x values to be converted. y_or_lon (:obj:`float` or sequence): A single longitude/y value or a sequence of longitude/y values to be converted. func (function): Either the xy_to_ll or ll_to_xy function. timeidx (:obj:`int` or :data:`wrf.ALL_TIMES`): The desired time index. This value can be a positive integer, negative integer, or :data:`wrf.ALL_TIMES` (an alias for None) to return all times in the file or sequence. The default is 0. stagger (:obj:`str`): By default, the values are returned on the mass grid, but a staggered grid can be chosen with the following options: - 'm': Use the mass grid (default). - 'u': Use the same staggered grid as the u wind component, which has a staggered west_east (x) dimension. - 'v': Use the same staggered grid as the v wind component, which has a staggered south_north (y) dimension. squeeze (:obj:`bool`, optional): Set to False to prevent dimensions with a size of 1 from being automatically removed from the shape of the output. Default is True. meta (:obj:`bool`, optional): Set to False to disable metadata and return :class:`numpy.ndarray` instead of :class:`xarray.DataArray`. Default is True. as_int (:obj:`bool`, optional): Set to True to return the x,y values as :obj:`int`, otherwise they will be returned as :obj:`float`. This is only used when *func* is ll_to_xy. Returns: :class:`xarray.DataArray` or :class:`numpy.ndarray`: The lat,lon/x,y coordinate value(s) whose leftmost dimensions are the dictionary keys, followed by a dimension of size 2 (0=X, 1=Y)/(0=lat, 1=lon). If xarray is enabled and the *meta* parameter is True, then the result will be a :class:`xarray.DataArray` object. Otherwise, the result will be a :class:`numpy.ndarray` object with no metadata. """ keynames = [] # This might not work once mapping iterators are implemented numkeys = len(wrfin) key_iter = iter(viewkeys(wrfin)) first_key = next(key_iter) keynames.append(first_key) first_args = [wrfin[first_key], x_or_lat, y_or_lon, timeidx, squeeze, meta, stagger] if as_int is not None: first_args.append(as_int) first_array = func(*first_args) # Create the output data numpy array based on the first array outdims = [numkeys] outdims += first_array.shape outdata = np.empty(outdims, first_array.dtype) outdata[0,:] = first_array[:] idx = 1 while True: try: key = next(key_iter) except StopIteration: break else: keynames.append(key) args = [wrfin[first_key], x_or_lat, y_or_lon, timeidx, squeeze, meta, stagger] if as_int is not None: args.append(as_int) result_array = func(*args) if outdata.shape[1:] != result_array.shape: raise ValueError("data sequences must have the " "same size for all dictionary keys") outdata[idx,:] = to_np(result_array)[:] idx += 1 if xarray_enabled() and meta: outname = str(first_array.name) # Note: assumes that all entries in dict have same coords outcoords = OrderedDict(first_array.coords) # First find and store all the existing key coord names/values # This is applicable only if there are nested dictionaries. key_coordnames = [] coord_vals = [] existing_cnt = 0 while True: key_coord_name = "key_{}".format(existing_cnt) if key_coord_name not in first_array.dims: break key_coordnames.append(key_coord_name) coord_vals.append(to_np(first_array.coords[key_coord_name])) existing_cnt += 1 # Now add the key coord name and values for THIS dictionary. # Put the new key_n name at the bottom, but the new values will # be at the top to be associated with key_0 (left most). This # effectively shifts the existing 'key_n' coordinate values to the # right one dimension so *this* dicionary's key coordinate values # are at 'key_0'. key_coordnames.append(key_coord_name) coord_vals.insert(0, keynames) # make it so that key_0 is leftmost outdims = key_coordnames + list(first_array.dims[existing_cnt:]) # Create the new 'key_n', value pairs for coordname, coordval in zip(key_coordnames, coord_vals): outcoords[coordname] = coordval outattrs = OrderedDict(first_array.attrs) outarr = DataArray(outdata, name=outname, coords=outcoords, dims=outdims, attrs=outattrs) else: outarr = outdata return outarr @set_latlon_metadata(xy=True) def ll_to_xy(wrfin, latitude, longitude, timeidx=0, squeeze=True, meta=True, stagger=None, as_int=True): """Return the x,y coordinates for a specified latitude and longitude. The *latitude* and *longitude* arguments can be a single value or a sequence of values. The leftmost dimension of the returned array represents two different quantities: - return_val[0,...] will contain the X (west_east) values. - return_val[1,...] will contain the Y (south_north) values. Args: wrfin (:class:`netCDF4.Dataset`, :class:`Nio.NioFile`, or an \ iterable): WRF-ARW NetCDF data as a :class:`netCDF4.Dataset`, :class:`Nio.NioFile` or an iterable sequence of the aforementioned types. latitude (:obj:`float` or sequence): A single latitude or a sequence of latitude values to be converted. longitude (:obj:`float` or sequence): A single longitude or a sequence of latitude values to be converted. timeidx (:obj:`int` or :data:`wrf.ALL_TIMES`, optional): The desired time index. This value can be a positive integer, negative integer, or :data:`wrf.ALL_TIMES` (an alias for None) to return all times in the file or sequence. The default is 0. squeeze (:obj:`bool`, optional): Set to False to prevent dimensions with a size of 1 from being automatically removed from the shape of the output. Default is True. meta (:obj:`bool`, optional): Set to False to disable metadata and return :class:`numpy.ndarray` instead of :class:`xarray.DataArray`. Default is True. stagger (:obj:`str`): By default, the latitude is returned on the mass grid, but a staggered grid can be chosen with the following options: - 'm': Use the mass grid (default). - 'u': Use the same staggered grid as the u wind component, which has a staggered west_east (x) dimension. - 'v': Use the same staggered grid as the v wind component, which has a staggered south_north (y) dimension. as_int (:obj:`bool`): Set to False to return the x,y values as :obj:`float`, otherwise they will be returned as :obj:`int`. Returns: :class:`xarray.DataArray` or :class:`numpy.ndarray`: The x,y coordinate value(s) whose leftmost dimension is 2 (0=X, 1=Y). If xarray is enabled and the *meta* parameter is True, then the result will be a :class:`xarray.DataArray` object. Otherwise, the result will be a :class:`numpy.ndarray` object with no metadata. """ if is_mapping(wrfin): return _llxy_mapping(wrfin, latitude, longitude, ll_to_xy, timeidx, stagger, squeeze, meta, as_int) _key = get_id(wrfin) _wrfin = get_iterable(wrfin) return _ll_to_xy(latitude, longitude, _wrfin, timeidx, stagger, "cat", squeeze, None, _key, as_int, **{}) def _set_defaults(projparams): """Check projection parameters and set defaults. Throws an exception if projection parameters required by WPS are not provided, along with any other parameters required by the map projection transformation routines. For parameters not used by the projection type, defaults are used so that the None values don't pass through to fortran downstream. Args: projparams (:obj:`dict`): Projection parameters dictionary. Returns: :obj:`dict`: The projection parameters with default values inserted where applicable. """ _params = dict(projparams) map_proj = _params.get("map_proj") # All projections require these arguments if map_proj is None: raise ValueError("'map_proj' cannot be None") if _params.get("ref_lat") is None: raise ValueError("'ref_lat' cannot be None") if _params.get("ref_lon") is None: raise ValueError("'ref_lon' cannot be None") if _params.get("known_x") is None: raise ValueError("'known_x' cannot be None") if _params.get("known_y") is None: raise ValueError("'known_y' cannot be None") if _params.get("dx") is None: raise ValueError("'dx' cannot be None") # Requires truelat1,stand_lon, truelat2, dx, dy if map_proj == ProjectionTypes.LAMBERT_CONFORMAL: if _params.get("truelat1") is None: raise ValueError("'truelat1' cannot be None") if _params.get("stand_lon") is None: raise ValueError("'stand_lon' cannot be None") if _params.get("truelat2") is None: _params["truelat2"] = _params["truelat1"] # Requires truelat1, stand_lon elif map_proj == ProjectionTypes.POLAR_STEREOGRAPHIC: if _params.get("truelat1") is None: raise ValueError("'truelat1' cannot be None") if _params.get("stand_lon") is None: raise ValueError("'stand_lon' cannot be None") # Requires truelat1 elif map_proj == ProjectionTypes.MERCATOR: if _params.get("truelat1") is None: raise ValueError("'truelat1' cannot be None") if _params.get("stand_lon") is None: _params["stand_lon"] = 0.0 # Requires pole_lat, pole_lon, stand_lon elif map_proj == ProjectionTypes.LAT_LON: if _params.get("stand_lon") is None: raise ValueError("'stand_lon' cannot be None") if _params.get("dy") is None: raise ValueError("'dy' cannot be None") if _params.get("pole_lat") is None: raise ValueError("'pole_lat' cannot be None") if _params.get("pole_lon") is None: raise ValueError("'pole_lon' cannot be None") if _params.get("latinc") is None: _params["latinc"] = ((_params["dy"]*360.0)/2.0 / Constants.PI/Constants.WRF_EARTH_RADIUS) if _params.get("loninc") is None: _params["loninc"] = ((_params["dx"]*360.0)/2.0 / Constants.PI/Constants.WRF_EARTH_RADIUS) else: raise ValueError("invalid 'map_proj' value of {}".format(map_proj)) # Set these to defaults if not used so that the Fortran routines # don't crash if _params.get("truelat1") is None: _params["truelat1"] = 0. if _params.get("truelat2") is None: _params["truelat2"] = 0. if _params.get("pole_lat") is None: _params["pole_lat"] = 90.0 if _params.get("pole_lon") is None: _params["pole_lon"] = 0.0 if _params.get("dx") is None: _params["dx"] = 0.0 if _params.get("dy") is None: _params["dy"] = 0.0 if _params.get("latinc") is None: _params["latinc"] = 0. if _params.get("loninc") is None: _params["loninc"] = 0. return _params @set_latlon_metadata(xy=True) def ll_to_xy_proj(latitude, longitude, meta=True, squeeze=True, as_int=True, map_proj=None, truelat1=None, truelat2=None, stand_lon=None, ref_lat=None, ref_lon=None, pole_lat=None, pole_lon=None, known_x=None, known_y=None, dx=None, dy=None, latinc=None, loninc=None): """Return the x, y coordinates for a specified latitude and longitude. The *latitude* and *longitude* arguments can be a single value or a sequence of values. This version of the ll_to_xy routine allows users to manually specify projection parameters. The leftmost dimension of the returned array represents two different quantities: - return_val[0,...] will contain the X (west_east) values. - return_val[1,...] will contain the Y (south_north) values. Args: latitude (:obj:`float` or sequence): A single latitude or a sequence of latitude values to be converted. longitude (:obj:`float` or sequence): A single longitude or a sequence of latitude values to be converted. squeeze (:obj:`bool`, optional): Set to False to prevent dimensions with a size of 1 from being automatically removed from the shape of the output. Default is True. meta (:obj:`bool`, optional): Set to False to disable metadata and return :class:`numpy.ndarray` instead of :class:`xarray.DataArray`. Default is True. as_int (:obj:`bool`): Set to False to return the x,y values as :obj:`float`, otherwise they will be returned as :obj:`int`. Default is True. map_proj (:obj:`int`): Model projection [1=Lambert Conformal, 2=Polar Stereographic, 3=Mercator, 6=Lat-Lon]. Required. truelat1 (:obj:`float`): Latitude of true scale 1. Required for map_proj = 1, 2, 3 (defaults to 0 otherwise). truelat2 (:obj:`float`): Latitude of true scale 2. Optional for map_proj = 1 (defaults to 0 otherwise). stand_lon (:obj:`float`): Standard longitude. Required for *map_proj* = 1, 2, 6 (defaults to 0 otherwise). ref_lat (:obj:`float`): A reference latitude. Required. ref_lon (:obj:`float`): A reference longitude. Required. known_x (:obj:`float`): The known x-coordinate associated with *ref_lon*. Required. known_y (:obj:`float`): The known y-coordinate associated with *ref_lat*. Required. pole_lat (:obj:`float`): Pole latitude. Required for *map_proj* = 6 (use 90 for no rotation). pole_lon (:obj:`float`): Pole longitude. Required for *map_proj* = 6 (use 0 for no rotation). dx (:obj:`float`): The x spacing in meters at the true latitude. Required for all map projections. dy (:obj:`float`) - The y spacing in meters at the true latitude. Required for *map_proj* = 6 (defaults to 0 otherwise). latinc (:obj:`float`): Optional for *map_proj* = 6. Default is: .. code-block:: python latinc = (dy*360.0)/2.0/Constants.PI/Constants.WRF_EARTH_RADIUS loninc (:obj:`float`): Optional for *map_proj* = 6. Default is: .. code-block:: python loninc = (dx*360.0)/2.0/Constants.PI/Constants.WRF_EARTH_RADIUS Returns: :class:`xarray.DataArray` or :class:`numpy.ndarray`: The x,y coordinate value(s) whose leftmost dimension is 2 (0=X, 1=Y). If xarray is enabled and the *meta* parameter is True, then the result will be a :class:`xarray.DataArray` object. Otherwise, the result will be a :class:`numpy.ndarray` object with no metadata. """ loc = locals() _projparams = {name : loc[name] for name in ("map_proj", "truelat1", "truelat2", "stand_lon", "ref_lat", "ref_lon", "pole_lat", "pole_lon", "known_x", "known_y", "dx", "dy", "latinc", "loninc")} projparams = _set_defaults(_projparams) return _ll_to_xy(latitude, longitude, None, 0, True, "cat", squeeze, None, None, as_int, **projparams) @set_latlon_metadata(xy=False) def xy_to_ll(wrfin, x, y, timeidx=0, squeeze=True, meta=True, stagger=None): """Return the latitude and longitude for specified x,y coordinates. The *x* and *y* arguments can be a single value or a sequence of values. The leftmost dimension of the returned array represents two different quantities: - return_val[0,...] will contain the latitude values. - return_val[1,...] will contain the longitude values. Args: wrfin (:class:`netCDF4.Dataset`, :class:`Nio.NioFile`, or an \ iterable): WRF-ARW NetCDF data as a :class:`netCDF4.Dataset`, :class:`Nio.NioFile` or an iterable sequence of the aforementioned types. x (:obj:`float` or sequence): A single x-coordinate or a sequence of x-coordinate values to be converted. y (:obj:`float` or sequence): A single y-coordinate or a sequence of y-coordinate values to be converted. timeidx (:obj:`int` or :data:`wrf.ALL_TIMES`, optional): The desired time index. This value can be a positive integer, negative integer, or :data:`wrf.ALL_TIMES` (an alias for None) to return all times in the file or sequence. The default is 0. squeeze (:obj:`bool`, optional): Set to False to prevent dimensions with a size of 1 from being automatically removed from the shape of the output. Default is True. meta (:obj:`bool`, optional): Set to False to disable metadata and return :class:`numpy.ndarray` instead of :class:`xarray.DataArray`. Default is True. stagger (:obj:`str`): By default, the latitude is returned on the mass grid, but a staggered grid can be chosen with the following options: - 'm': Use the mass grid (default). - 'u': Use the same staggered grid as the u wind component, which has a staggered west_east (x) dimension. - 'v': Use the same staggered grid as the v wind component, which has a staggered south_north (y) dimension. Returns: :class:`xarray.DataArray` or :class:`numpy.ndarray`: The latitude and longitude values whose leftmost dimension is 2 (0=latitude, 1=longitude). If xarray is enabled and the *meta* parameter is True, then the result will be a :class:`xarray.DataArray` object. Otherwise, the result will be a :class:`numpy.ndarray` object with no metadata. """ if is_mapping(wrfin): return _llxy_mapping(wrfin, x, y, xy_to_ll, timeidx, stagger, squeeze, meta) _key = get_id(wrfin) _wrfin = get_iterable(wrfin) return _xy_to_ll(x, y, _wrfin, timeidx, stagger, "cat", True, None, _key, **{}) @set_latlon_metadata(xy=False) def xy_to_ll_proj(x, y, meta=True, squeeze=True, map_proj=None, truelat1=None, truelat2=None, stand_lon=None, ref_lat=None, ref_lon=None, pole_lat=None, pole_lon=None, known_x=None, known_y=None, dx=None, dy=None, latinc=None, loninc=None): """Return the latitude and longitude for the specified x,y coordinates. The *x* and *y* arguments can be a single value or a sequence of values. This version of the xy_to_ll routine allows users to manually specify map projection parameters. The leftmost dimension of the returned array represents two different quantities: - return_val[0,...] will contain the latitude values. - return_val[1,...] will contain the longitude values. Args: x (:obj:`float` or sequence): A single x-coordinate or a sequence of x-coordinate values to be converted. y (:obj:`float` or sequence): A single y-coordinate or a sequence of y-coordinate values to be converted. squeeze (:obj:`bool`, optional): Set to False to prevent dimensions with a size of 1 from being automatically removed from the shape of the output. Default is True. meta (:obj:`bool`, optional): Set to False to disable metadata and return :class:`numpy.ndarray` instead of :class:`xarray.DataArray`. Default is True. map_proj (:obj:`int`): Model projection [1=Lambert Conformal, 2=Polar Stereographic, 3=Mercator, 6=Lat-Lon]. Required. truelat1 (:obj:`float`): Latitude of true scale 1. Required for map_proj = 1, 2, 3 (defaults to 0 otherwise). truelat2 (:obj:`float`): Latitude of true scale 2. Optional for map_proj = 1 (defaults to 0 otherwise). stand_lon (:obj:`float`): Standard longitude. Required for *map_proj* = 1, 2, 6 (defaults to 0 otherwise). ref_lat (:obj:`float`): A reference latitude. Required. ref_lon (:obj:`float`): A reference longitude. Required. known_x (:obj:`float`): The known x-coordinate associated with *ref_lon*. Required. known_y (:obj:`float`): The known y-coordinate associated with *ref_lat*. Required. pole_lat (:obj:`float`): Pole latitude. Required for *map_proj* = 6 (use 90 for no rotation). pole_lon (:obj:`float`): Pole longitude. Required for *map_proj* = 6 (use 0 for no rotation). dx (:obj:`float`): The x spacing in meters at the true latitude. Required for all map projections. dy (:obj:`float`) - The y spacing in meters at the true latitude. Required for *map_proj* = 6 (defaults to 0 otherwise). latinc (:obj:`float`): Optional for *map_proj* = 6. Default is: .. code-block:: python latinc = (dy*360.0)/2.0/Constants.PI/Constants.WRF_EARTH_RADIUS loninc (:obj:`float`): Optional for *map_proj* = 6. Default is: .. code-block:: python loninc = (dx*360.0)/2.0/Constants.PI/Constants.WRF_EARTH_RADIUS Returns: :class:`xarray.DataArray` or :class:`numpy.ndarray`: The latitude and longitude values whose leftmost dimension is 2 (0=latitude, 1=longitude). If xarray is enabled and the *meta* parameter is True, then the result will be a :class:`xarray.DataArray` object. Otherwise, the result will be a :class:`numpy.ndarray` object with no metadata. """ loc = locals() _projparams = {name : loc[name] for name in ("map_proj", "truelat1", "truelat2", "stand_lon", "ref_lat", "ref_lon", "pole_lat", "pole_lon", "known_x", "known_y", "dx", "dy", "latinc", "loninc")} projparams = _set_defaults(_projparams) return _xy_to_ll(x, y, None, 0, None, "cat", squeeze, None, None, **projparams)