Source code for ocbpy._boundary

#!/usr/bin/env python
# -*- coding: utf-8 -*-
# DOI: 10.5281/zenodo.1179230
# Full license can be found in License.md
#
# DISTRIBUTION STATEMENT A: Approved for public release. Distribution is
# unlimited.
# ----------------------------------------------------------------------------
"""Hold, manipulate, and load the OCB and EAB data.

References
----------
.. [2] Angeline Burrell, Christer van der Meeren, & Karl M. Laundal. (2020).
   aburrell/aacgmv2 (All Versions). Zenodo. doi:10.5281/zenodo.1212694.

.. [3] Shepherd, S. G. (2014), Altitude‐adjusted corrected geomagnetic
   coordinates: Definition and functional approximations, Journal of
   Geophysical Research: Space Physics, 119, 7501–7521,
   doi:10.1002/2014JA020264.

"""

import numpy as np
import types

import aacgmv2

from ocbpy import logger
import ocbpy.ocb_correction as ocbcor
from ocbpy import cycle_boundary
from ocbpy import ocb_time
from ocbpy.boundaries.files import get_default_file
from ocbpy.instruments import test_file


[docs] class OCBoundary(object): """Object containing open-closed field-line boundary (OCB) data. Parameters ---------- filename : str or NoneType File containing the required open-closed boundary data sorted by time. If NoneType, no file is loaded. If 'default', `ocbpy.boundaries.files.get_default_file` is called. (default='default') instrument : str Instrument providing the OCBoundaries. Requires 'image', 'ampere', or 'dmsp-ssj' if a file is provided through `filename`. If using filename='default', also accepts 'amp', 'si12', 'si13', 'wic', 'model', and ''. (default='') hemisphere : int Integer (+/- 1) denoting northern/southern hemisphere (default=1) boundary_lat : float Typical OCBoundary latitude in AACGM coordinates. Hemisphere will give this boundary the desired sign. (default=74.0) stime : dt.datetime, array-like, or NoneType First time to load data or beginning of file. If specifying time, be sure to start before the time of the data to allow the best match within the allowable time tolerance to be found. If running a model (e.g., `instrument='model'`, provide an array of datetime values corresponding to the required driving index(es). (default=None) etime : dt.datetime or NoneType Last time to load data or ending of file. If specifying time, be sure to end after the last data point you wish to match to, to ensure the best match within the allowable time tolerance is made. (default=None) rfunc : numpy.ndarray, function, or NoneType OCB radius correction or model function (if `instrument` is 'model'). If None, will use the instrument default. Function must have AACGM MLT (in hours) as argument input. To allow the boundary shape to change with univeral time, each temporal instance may have a different function (array input). If a single function is provided, will recast as an array that specifies this function for all times. (default=None) rfunc_kwargs : numpy.ndarray, dict, or NoneType Optional keyword arguments for `rfunc`. If None is specified, uses function defaults. If dict is specified and `instrument` is 'model', any array-like values are expected to be the same length as `dtime` and will be recast as an array of dicts with single values. Otherwise, dict inputs are recasts as an array of this dict for all times. Array must be an array of dicts the same length as `dtime`. (default=None) Attributes ---------- records : int Number of boundary records (default=0) rec_ind : int Current boundary record index (default=0; initialised=-1) dtime : numpy.ndarray or NoneType Numpy array of boundary datetimes (default=None) phi_cent : numpy.ndarray or NoneType Numpy array of floats that give the angle from AACGM midnight of the boundary pole in degrees (default=None) r_cent : numpy.ndarray or NoneType Numpy array of floats that give the AACGM co-latitude of the boundary pole in degrees (default=None) r : numpy.ndarray or NoneType Numpy array of floats that give the radius of the boundary in degrees (default=None) fom : numpy.ndarray or NoneType Numpy array of floats that provides a figure of merit that can be used to evaluate the quality of the boundary (default=None) min_fom : float Minimum acceptable figure of merit for data (default=-np.inf) max_fom : float Maximum acceptable figure of merit for data (default=np.inf) x, y, etc. : numpy.ndarray or NoneType Numpy array of floats that hold the remaining values held in `filename` Methods ------- inst_defaults Get the instrument-specific boundary file loading information. load Load the data from the specified boundary file or model. get_next_good_ocb_ind Cycle to the the next quality boundary record. normal_coord Convert data position(s) to normalised co-ordinates relative to the OCB. revert_coord Convert the position of a measurement in OCB into AACGM co-ordinates. get_aacgm_boundary_lat Calculate the OCB latitude in AACGM coordinates at specified MLTs. to_dict Provide the data in this class as a pair of dictionaries. Raises ------ ValueError Incorrect or incompatible input """ def __init__(self, filename="default", instrument='', hemisphere=1, boundary_lat=74.0, stime=None, etime=None, rfunc=None, rfunc_kwargs=None): # Test the instrument input if not hasattr(instrument, "lower"): logger.error("OCB instrument must be a string [{:}]".format( instrument)) self.filename = None self.instrument = None else: self.instrument = instrument.lower() # If a filename wanted and not provided, get one if filename is None or self.instrument == "model": self.filename = None elif not hasattr(filename, "lower"): logger.warning("filename is not a string [{:}]".format( filename)) self.filename = None elif filename.lower() == "default": self.filename, self.instrument = get_default_file( stime, etime, hemisphere, self.instrument) else: self.filename = filename # If a filename is available, make sure it is good if self.filename is not None: if not test_file(self.filename): # If the filename is bad, return an uninitialized object logger.warning("cannot open OCB file [{:s}]".format( self.filename)) self.filename = None # Test the hemisphere input if hemisphere not in [1, -1]: raise ValueError("hemisphere must be 1 (north) or -1 (south)") # Set the default attribute values self.hemisphere = hemisphere self.records = 0 self.rec_ind = 0 self.dtime = None self.phi_cent = None self.r_cent = None self.r = None self.fom = None self.rfunc = rfunc self.rfunc_kwargs = rfunc_kwargs self.min_fom = -np.inf self.max_fom = np.inf # Set the boundary latitude, if supplied self.boundary_lat = 74.0 if boundary_lat is None else boundary_lat # Ensure that the boundary is in the correct hemisphere if np.sign(boundary_lat) != np.sign(hemisphere): self.boundary_lat *= -1.0 # If possible, load the data. Any boundary correction is applied here. if self.filename is not None: # Get the Instrument defaults hlines, ocb_cols, datetime_fmt = self.inst_defaults() # Choose the approriate loading method if len(ocb_cols) > 0: self.load(hlines=hlines, ocb_cols=ocb_cols, datetime_fmt=datetime_fmt, stime=stime, etime=etime) else: self.load(stime=stime, etime=etime) elif self.instrument == "model": self.load(stime=stime) return def __repr__(self): """Provide an evaluatable representation of the OCBoundary object.""" class_name = repr(self.__class__).split("'")[1] isempty = True if self.dtime is None or len(self.dtime) == 0 else False # Get the start and end times stime = None if isempty else self.dtime[0] etime = None if isempty else self.dtime[-1] # Format the function representations if self.rfunc is None: repr_rfunc = repr(self.rfunc) else: rfuncs = [".".join([ff.__module__, ff.__name__]) for ff in self.rfunc] if len(set(rfuncs)) == 1: repr_rfunc = rfuncs[0] else: repr_rfunc = 'numpy.array([{:s}], dtype=object)'.format( ', '.join(rfuncs)) # Format the function kwarg representations if self.rfunc_kwargs is None: repr_rfunc_kwargs = repr(self.rfunc_kwargs) else: rfuncs_kwargs = [repr(rkwarg) for rkwarg in self.rfunc_kwargs] if len(set(rfuncs_kwargs)) == 1: repr_rfunc_kwargs = rfuncs_kwargs[0] else: repr_rfunc_kwargs = 'numpy.array([{:s}], dtype=object)'.format( ', '.join(rfuncs_kwargs)) # Format the output out = "".join([class_name, "(filename=", repr(self.filename), ", instrument=", repr(self.instrument), ", hemisphere={:d}, ".format(int(self.hemisphere)), "boundary_lat={:f}, stime=".format(self.boundary_lat), repr(stime), ", etime=", repr(etime), ", rfunc=", repr_rfunc, ", rfunc_kwargs=", repr_rfunc_kwargs, ")"]) return out def __str__(self): """Provide readable representation of the OCBoundary object.""" class_name = repr(self.__class__).split("'")[1].split(".")[-1] if self.filename is None and self.instrument != "model": out = "No {:s} file specified\n".format(class_name) else: if self.filename is not None: out = "{:s} file: {:s}\n".format(class_name, self.filename) else: out = "{:s}\n".format(class_name) out = "{:s}Source instrument: ".format(out) out = "{:s}{:s}\n".format(out, self.instrument.upper()) out = "{:s}Boundary reference latitude: ".format(out) out = "{:s}{:.1f} degrees\n\n".format(out, self.boundary_lat) if self.records == 0: out = "{:s}No data loaded\n".format(out) else: out = "{:s}{:d} records from {:}".format(out, self.records, self.dtime[0]) out = "{:s} to {:}\n\n".format(out, self.dtime[-1]) imid = -1 if self.records == 1: irep = [0] else: irep = np.unique( np.arange(0, self.records, 1)[[0, 1, -2, -1]]) if self.records > 4: imid = 1 head = "YYYY-MM-DD HH:MM:SS Phi_Centre R_Centre R" out = "{:s}{:s}\n{:-<77s}\n".format(out, head, "") for i in irep: out = "{:s}{:} {:.2f}".format(out, self.dtime[i], self.phi_cent[i]) out = "{:s} {:.2f} {:.2f}\n".format(out, self.r_cent[i], self.r[i]) if i == imid: out = "".join([out, "...\n"]) # Determine which scaling functions are used if self.rfunc is not None: out = "".join([out, "\nUses ", "boundary" if self.instrument == "model" else "scaling", " function(s):\n"]) fnames = list(set([".".join([ff.__module__, ff.__name__]) for ff in self.rfunc])) for ff in fnames: kw = [self.rfunc_kwargs[i].__str__() for i, rf in enumerate(self.rfunc) if rf.__name__ == ff.split(".")[-1]] ikw = list(irep) kmid = imid if len(kw) < len(ikw): ikw = [kind for kind in range(len(kw))] if len(ikw) <= 1: kmid = -1 for k in ikw: out = "{:s}{:s}(**{:s})\n".format(out, ff, kw[k]) if k == kmid: out = "".join([out, "...\n"]) return out def _set_default_rfunc(self): """Set the default instrument OCB boundary function. Notes ----- Assign a function for each time in case we have a data set with a correction that changes with UT """ if self.instrument in ["image", "dmsp-ssj"]: self.rfunc = np.full(shape=self.records, fill_value=ocbcor.circular) elif self.instrument == "ampere": self.rfunc = np.full(shape=self.records, fill_value=ocbcor.elliptical) else: raise ValueError("unknown instrument: {:}".format(self.instrument)) return def _set_rfunc(self): """Adjust the formatting of the boundary function and kwargs.""" # Set the boundary function if self.rfunc is None: self._set_default_rfunc() elif isinstance(self.rfunc, types.FunctionType): self.rfunc = np.full(shape=self.records, fill_value=self.rfunc) elif hasattr(self.rfunc, "shape"): if self.rfunc.shape != self.dtime.shape: raise ValueError("Misshaped correction function array") else: raise ValueError("Unknown input type for correction function") # Set the boundary function keyword inputs if self.rfunc_kwargs is None: self.rfunc_kwargs = np.full(shape=self.records, fill_value={}) elif isinstance(self.rfunc_kwargs, dict): if self.instrument == "model": # Inputs may be an array that needs to be parsed reshape = False for key in self.rfunc_kwargs.keys(): val = self.rfunc_kwargs[key] if not hasattr(val, 'lower') and len(val) == self.records: if reshape is False: reshape = [key] else: reshape.append(key) else: reshape = False if reshape is False: self.rfunc_kwargs = np.full(shape=self.records, fill_value=self.rfunc_kwargs) else: kwarg_list = list() for i in range(self.records): kwarg_list.append({ key: self.rfunc_kwargs[key][i] if key in reshape else self.rfunc_kwargs[key] for key in self.rfunc_kwargs.keys()}) self.rfunc_kwargs = np.asarray(kwarg_list) elif hasattr(self.rfunc_kwargs, "shape"): if self.rfunc_kwargs.shape != self.dtime.shape: raise ValueError("Misshaped correction function keyword array") else: raise ValueError("Unknown input type for correction keywords") return def _load_file( self, hlines=0, ocb_cols="year soy num_sectors phi_cent r_cent r a r_err fom", datetime_fmt="", stime=None, etime=None): """Load the data from the specified boundary file. Parameters ---------- ocb_cols : str String specifying format of OCB file. All but the first two columns must be included in the string, additional data values will be ignored. If 'year soy' aren't used, expects 'date time' in 'YYYY-MM-DD HH:MM:SS' format. (default='year soy num_sectors phi_cent r_cent r a r_err r_merit') hlines : int Number of header lines preceeding data in the OCB file (default=0) datetime_fmt : str A string used to read in 'date time' data. Not used if 'year soy' is specified. (default='') stime : dt.datetime or NoneType Time to start loading data or None to start at beginning of file. (default=None) etime : datetime or NoneType Time to stop loading data or None to end at the end of the file. (default=None) """ # Get the column formatting cols = ocb_cols.split() dflag = -1 ldtype = [(k, float) if k != "num_sectors" else (k, int) for k in cols] if "soy" in cols and "year" in cols: dflag = 0 ldtype[cols.index('year')] = ('year', int) elif "date" in cols and "time" in cols: dflag = 1 ldtype[cols.index('date')] = ('date', '|U50') ldtype[cols.index('time')] = ('time', '|U50') if dflag < 0: logger.error("missing time columns in [{:s}]".format(ocb_cols)) return # Read the OCB data odata = np.rec.array(np.genfromtxt(self.filename, skip_header=hlines, dtype=ldtype)) oname = list(odata.dtype.names) # Load the data into the OCBoundary object # # Start by getting the time and location in the desired format self.rec_ind = -1 dt_list = list() if stime is None and etime is None: itime = np.arange(0, odata.shape[0], 1) else: itime = list() for i in range(odata.shape[0]): year = odata.year[i] if dflag == 0 else None soy = odata.soy[i] if dflag == 0 else None date = None if dflag == 0 else odata.date[i] tod = None if dflag == 0 else odata.time[i] dtime = ocb_time.convert_time(year=year, soy=soy, date=date, tod=tod, datetime_fmt=datetime_fmt) if stime is None and etime is None: dt_list.append(dtime) elif((stime is None or stime <= dtime) and (etime is None or etime >= dtime)): dt_list.append(dtime) itime.append(i) if hasattr(odata, 'x') and hasattr(odata, 'y'): # Location is given by x-y coordinates where the origin lies # on the magnetic pole, the x-axis follows the dusk-dawn # meridian (positive towards dawn), and the y-axis follows the # midnight-noon meridian (positive towards noon) # Calculate the polar coordinates from the x-y coordinates odata.r_cent = np.sqrt(odata.x**2 + odata.y**2) oname.append("r_cent") # phi_cent is zero at magnetic midnight rather than dawn, so we # need to add 90.0 degrees from the arctangent. Then convert all # degrees to their positive angles. odata.phi_cent = np.degrees(np.arctan2(odata.y, odata.x)) + 90.0 odata.phi_cent[odata.phi_cent < 0.0] += 360.0 oname.append("phi_cent") # Load the required information not contained in odata self.records = len(dt_list) self.dtime = np.array(dt_list) # Set the boundary function and function keyword arguments self._set_rfunc() # Load the attributes saved in odata for nn in oname: setattr(self, nn, getattr(odata, nn)[itime]) return def _load_model(self, rec_times): """Load the data from the specified boundary file. Parameters ---------- rec_times : array-like Times for which the model will be run. """ # Set the times and record numbers self.dtime = np.asarray(rec_times) self.records = len(rec_times) # Set the boundary function and function keyword arguments self._set_rfunc() # Update the "observed" location to be a point at the pole self.phi_cent = np.zeros(shape=self.records) self.r_cent = np.zeros(shape=self.records) self.r = np.zeros(shape=self.records) self.fom = np.zeros(shape=self.records) return
[docs] def inst_defaults(self): """Get the instrument-specific OCB file loading information. Returns ------- hlines : int Number of header lines ocb_cols : str String containing the names for each data column datetime_fmt : str String containing the datetime format Notes ----- Updates the min_fom attribute for AMPERE and DMSP-SSJ """ if self.instrument == "image": hlines = 0 ocb_cols = "year soy num_sectors phi_cent r_cent r a r_err fom" datetime_fmt = "" self.max_fom = 5.0 # From Chisham et al. (2022) elif self.instrument == "ampere": hlines = 0 ocb_cols = "date time r x y fom" datetime_fmt = "%Y%m%d %H:%M" self.min_fom = 0.15 # From Milan et al. (2015) elif self.instrument == "dmsp-ssj": hlines = 1 ocb_cols = "sc date time r x y fom x_1 y_1 x_2 y_2" datetime_fmt = "%Y-%m-%d %H:%M:%S" self.min_fom = 3.0 # From Burrell et al. (2019) else: hlines = 0 ocb_cols = "" datetime_fmt = "" return hlines, ocb_cols, datetime_fmt
[docs] def load(self, hlines=0, ocb_cols="year soy num_sectors phi_cent r_cent r a r_err fom", datetime_fmt="", stime=None, etime=None): """Load the data from the specified boundary file. Parameters ---------- ocb_cols : str String specifying format of OCB file. All but the first two columns must be included in the string, additional data values will be ignored. If 'year soy' aren't used, expects 'date time' in 'YYYY-MM-DD HH:MM:SS' format. (default='year soy num_sectors phi_cent r_cent r a r_err r_merit') hlines : int Number of header lines preceeding data in the OCB file (default=0) datetime_fmt : str A string used to read in 'date time' data. Not used if 'year soy' is specified. (default='') stime : dt.datetime, array-like, or NoneType Time to start loading data, array of times for model calculation, or None to start at beginning of an instrument file. (default=None) etime : datetime or NoneType Time to stop loading data or None to end at the end of the file. (default=None) """ if self.instrument == "model": self._load_model(stime) else: self._load_file(hlines=hlines, ocb_cols=ocb_cols, datetime_fmt=datetime_fmt, stime=stime, etime=etime) return
[docs] def get_next_good_ocb_ind(self, min_merit=None, max_merit=None, **kwargs): """Cycle to the the next quality OCB record. Parameters ---------- min_merit : float or NoneType Minimum value for the default figure of merit or None to not apply a custom minimum (default=None) max_merit : float or NoneTye Maximum value for the default figure of merit or None to not apply a custom maximum (default=None) kwargs : dict Dict with optional selection criteria. The key should correspond to a data attribute and the value must be a tuple with the first value specifying 'max', 'min', 'maxeq', 'mineq', or 'equal' and the second value specifying the value to use in the comparison. Notes ----- Updates self.rec_ind to the index of next good OCB record or a value greater than self.records if there aren't any more good records available after the starting point AMPERE/DMSP-SSJ and new IMAGE FUV checks that: - the Figure of Merit is greater than or equal to the specified minimum (`min_fom`) or less than or equal to the specified maximum (`max_fom`) """ # Check the custom kwargs cust_keys = list(kwargs.keys()) for ckey in cust_keys: if not hasattr(self, ckey): logger.warning( "Removing unknown selection attribute {:}".format(ckey)) del kwargs[ckey] # Adjust the FoM determination for custom inputs if min_merit is None: min_merit = self.min_fom if max_merit is None: max_merit = self.max_fom # Incriment forward from previous boundary self.rec_ind += 1 while self.rec_ind < self.records: # Evaluate the current boundary for quality, using optional # parameters good = True for ckey in kwargs.keys(): test_val = getattr(self, ckey)[self.rec_ind] if kwargs[ckey][0] == "min" and test_val <= kwargs[ckey][1]: good = False break elif kwargs[ckey][0] == "mineq" and test_val < kwargs[ckey][1]: good = False break elif kwargs[ckey][0] == "equal" and test_val != kwargs[ckey][1]: good = False break elif kwargs[ckey][0] == "maxeq" and test_val > kwargs[ckey][1]: good = False break elif kwargs[ckey][0] == "max" and test_val >= kwargs[ckey][1]: good = False break # Evaluate the current boundary for quality, using non-optional # parameters if good: test_val = self.fom[self.rec_ind] if test_val >= min_merit and test_val <= max_merit: return # Cycle to next boundary self.rec_ind += 1 return
[docs] def normal_coord(self, lat, lt, coords='magnetic', height=350.0, method='ALLOWTRACE'): """Convert position(s) to normalised co-ordinates relative to the OCB. Parameters ---------- lat : float or array-like Input latitude (degrees), must be geographic, geodetic, or AACGMV2 lt : float or array-like Input local time (hours), must be solar or AACGMV2 magnetic coords : str Input coordiate system. Accepts 'magnetic', 'geocentric', or 'geodetic' (default='magnetic') height : float or array-like Height (km) at which AACGMV2 coordinates will be calculated, if geographic coordinates are provided (default=350.0) method : str String denoting which type(s) of conversion to perform, if geographic coordinates are provided. Expects either 'TRACE' or 'ALLOWTRACE'. See AACGMV2 for details [2]_. (default='ALLOWTRACE') Returns ------- ocb_lat : float or array-like Magnetic latitude relative to OCB (degrees) ocb_mlt : float or array-like Magnetic local time relative to OCB (hours) r_corr : float or array-like Radius correction to OCB (degrees) Notes ----- Approximation - Conversion assumes a planar surface See Also -------- aacgmv2 """ # Cast input as arrays lat = np.asarray(lat) lt = np.asarray(lt) height = np.asarray(height) # Initialize output out_shape = max([lat.shape, lt.shape, height.shape]) ocb_lat = np.full(shape=out_shape, fill_value=np.nan) ocb_mlt = np.full(shape=out_shape, fill_value=np.nan) r_corr = np.full(shape=out_shape, fill_value=np.nan) # Test the OCB record index if self.rec_ind < 0 or self.rec_ind >= self.records: return ocb_lat, ocb_mlt, r_corr # If needed, convert from geographic to magnetic coordinates if coords.lower().find('mag') < 0: # Convert from lt to longitude lon = ocb_time.slt2glon(lt, self.dtime[self.rec_ind]) # If geocentric coordinates are specified, add this info to the # method flag if coords.lower() == 'geocentric': method = "|".join([method, coords.upper()]) aacgm_lat, _, aacgm_mlt = aacgmv2.get_aacgm_coord_arr( lat, lon, height, self.dtime[self.rec_ind], method) else: aacgm_lat = lat aacgm_mlt = lt # Ensure the correct hemisphere is loaded for this data if np.any(np.sign(aacgm_lat) != self.hemisphere): if np.all(np.sign(aacgm_lat) != self.hemisphere): return ocb_lat, ocb_mlt, r_corr aacgm_lat[np.sign(aacgm_lat) != self.hemisphere] = np.nan # Calculate the center of the OCB phi_cent_rad = np.radians(self.phi_cent[self.rec_ind]) xc = self.r_cent[self.rec_ind] * np.cos(phi_cent_rad) yc = self.r_cent[self.rec_ind] * np.sin(phi_cent_rad) # Calculate the desired point location relative to the AACGM pole scalep = 90.0 - self.hemisphere * aacgm_lat xp = scalep * np.cos(ocb_time.hr2rad(aacgm_mlt)) yp = scalep * np.sin(ocb_time.hr2rad(aacgm_mlt)) # Get the distance between the OCB pole and the point location. This # distance is then scaled by r, the OCB radius. For non-circular # boundaries, r is a function of MLT r_corr = self.rfunc[self.rec_ind](aacgm_mlt, **self.rfunc_kwargs[self.rec_ind]) scalen = (90.0 - abs(self.boundary_lat)) / (self.r[self.rec_ind] + r_corr) xn = (xp - xc) * scalen yn = (yp - yc) * scalen ocb_lat = self.hemisphere * (90.0 - np.sqrt(xn**2 + yn**2)) ocb_mlt = ocb_time.deg2hr(np.degrees(np.arctan2(yn, xn))) ocb_mlt = ocb_time.fix_range(ocb_mlt, 0.0, 24.0) return ocb_lat, ocb_mlt, r_corr
[docs] def revert_coord(self, ocb_lat, ocb_mlt, r_corr=0.0, coords='magnetic', height=350.0, method='ALLOWTRACE'): """Convert the position of a measurement in OCB into AACGM co-ordinates. Parameters ---------- ocb_lat : float or array-like Input OCB latitude in degrees ocb_mlt : float or array-like Input OCB local time in hours r_corr : float or array-like Input OCB radial correction in degrees, may be a function of AACGM MLT (default=0.0) coords : str Output coordiate system. Accepts 'magnetic', 'geocentric', or 'geodetic' (default='magnetic') height : float or array-like Geocentric height above sea level (km) at which AACGMV2 coordinates will be calculated, if geographic coordinates are desired (default=350.0) method : str String denoting which type(s) of conversion to perform, if geographic coordinates are provided. Expects either 'TRACE' or 'ALLOWTRACE'. See AACGMV2 for details [2]_. (default='ALLOWTRACE') Returns ------- lat : float or array-like latitude (degrees) lt : float or array-like local time (hours) Notes ----- Approximation - Conversion assumes a planar surface See Also -------- aacgmv2 """ # Cast input as arrays ocb_lat = np.asarray(ocb_lat) ocb_mlt = np.asarray(ocb_mlt) r_corr = np.asarray(r_corr) height = np.asarray(height) # Initialize output out_shape = max([ocb_lat.shape, ocb_mlt.shape, r_corr.shape, height.shape]) lat = np.full(shape=out_shape, fill_value=np.nan) lt = np.full(shape=out_shape, fill_value=np.nan) # Test the OCB index and hemisphere if self.rec_ind < 0 or self.rec_ind >= self.records: return lat, lt if np.all(np.sign(ocb_lat) != self.hemisphere): return lat, lt # Perform the coordinate transformation phi_cent_rad = np.radians(self.phi_cent[self.rec_ind]) xc = self.r_cent[self.rec_ind] * np.cos(phi_cent_rad) yc = self.r_cent[self.rec_ind] * np.sin(phi_cent_rad) rn = 90.0 - self.hemisphere * ocb_lat thetan = ocb_mlt * np.pi / 12.0 xn = rn * np.cos(thetan) yn = rn * np.sin(thetan) scale_ocb = (self.r[self.rec_ind] + r_corr) / (90.0 - self.hemisphere * self.boundary_lat) xp = xn * scale_ocb + xc yp = yn * scale_ocb + yc aacgm_lat = self.hemisphere * (90.0 - np.sqrt(xp**2 + yp**2)) aacgm_mlt = ocb_time.deg2hr(np.degrees(np.arctan2(yp, xp))) aacgm_mlt = ocb_time.fix_range(aacgm_mlt, 0.0, 24.0) # If needed, convert from magnetic to geographic coordinates if coords.lower().find('mag') < 0: # Convert from mlt to longitude lon = aacgmv2.convert_mlt(aacgm_mlt, self.dtime[self.rec_ind], m2a=True) # If geocentric coordinates are specified, add this info to the # method flag if coords.lower() == 'geocentric': method = "|".join([method, coords.upper()]) method = "|".join([method, "A2G"]) lat, lon, _ = aacgmv2.convert_latlon_arr(aacgm_lat, lon, height, self.dtime[self.rec_ind], method) # Convert from longitude to solar local time lt = ocb_time.glon2slt(lon, self.dtime[self.rec_ind]) else: lat = aacgm_lat lt = aacgm_mlt return lat, lt
[docs] def get_aacgm_boundary_lat(self, aacgm_mlt, rec_ind=None, overwrite=False, set_lon=True): """Calculate the OCB latitude in AACGM coordinates at specified MLTs. Parameters ---------- aacgm_mlt : int, float, or array-like AACGM longitude location(s) (in degrees) for which the OCB latitude will be calculated. rec_ind : int, array-like, or NoneType Record index for which the OCB AACGM latitude will be calculated, or None to calculate all boundary locations (default=None). overwrite : bool Overwrite previous boundary locations if this time already has calculated boundary latitudes for a different set of input longitudes (default=False). set_lon : bool Calculate the AACGM longitude of the OCB alongside the MLT (default=True). Notes ----- Updates OCBoundary object with list attributes. If no boundary value is calculated at a certain time, the list is padded with None. If a boundary latitude cannot be calculated at that time and longitude, that time and longitude is filled with NaN. `aacgm_boundary_lat` contains the AACGM latitude location(s) of the OCB (in degrees) for each requested time [3]_. `aacgm_boundary_mlt` holds the aacgm_mlt input for each requested time. The requested MLT may differ from time to time, to allow easy comparison with satellite passes [3]_. `aacgm_boundary_lon` holds the aacgm_lon input for each requested time. This is calculated from `aacgm_boundary_mlt` by default [3]_. If the boundary radius is not defined at all MLT (possible for poorly constrained boundaries), then MLT with multiple boundary values will only return one possible solution. """ # Ensure the boundary longitudes span from 0-360 degrees aacgm_mlt = np.asarray(aacgm_mlt) aacgm_mlt[aacgm_mlt < 0.0] += 24.0 aacgm_mlt[aacgm_mlt >= 24.0] -= 24.0 if not hasattr(self, 'aacgm_boundary_mlt'): self.aacgm_boundary_mlt = [None for i in range(self.records)] if not hasattr(self, 'aacgm_boundary_lat'): self.aacgm_boundary_lat = [None for i in range(self.records)] if set_lon and not hasattr(self, 'aacgm_boundary_lon'): self.aacgm_boundary_lon = [None for i in range(self.records)] # Get the indices to calculate the boundary latitudes if rec_ind is None: # Create array of all indices rinds = np.arange(0, self.records, 1) else: # Create array of indices as integers rinds = np.asarray(rec_ind).astype('int') # Ensure single values are stored as an interable object if len(rinds.shape) == 0: rinds = rinds.reshape(1,) # Calculate the boundary location for each requested time for i in rinds: # If data exists here and the overwrite option is off, skip if self.aacgm_boundary_lat[i] is None or overwrite: # Calculate the difference between the output MLT and the # MLT of the centre of the polar cap, which is give in degrees del_mlt = ocb_time.hr2rad(aacgm_mlt - ocb_time.deg2hr(self.phi_cent[i])) # Calculate the radius of the OCB in degrees r_corr = self.rfunc[i](aacgm_mlt, **self.rfunc_kwargs[i]) scale_r = self.r[i] + r_corr rad = self.r_cent[i] * np.cos(del_mlt) \ + np.sqrt(scale_r**2 - (self.r_cent[i] * np.sin(del_mlt))**2) # If the radius is negative, set to NaN if len(rad.shape) > 0: rad[rad < 0.0] = np.nan else: rad = np.nan if rad < 0.0 else float(rad) # Calculate the latitude of the OCB in AACGM coordinates self.aacgm_boundary_lat[i] = self.hemisphere * (90.0 - rad) # Save the MLT at this time self.aacgm_boundary_mlt[i] = aacgm_mlt # Set the longitude at this time if set_lon: self.aacgm_boundary_lon[i] = np.asarray( aacgmv2.convert_mlt(aacgm_mlt, self.dtime[i], m2a=True)) else: logger.warning("".join(["unable to update AACGM boundary ", "latitude at {:}".format(self.dtime[i]), ", overwrite blocked"])) return
[docs] def to_dict(self, xarray_style=False, sel_inds=None): """Convert the boundary data into a pair of dictionaries. Parameters ---------- xarray_style : bool If True, dict values will be a tuple with a tuple of dimensions as first item and data as the second item (default=False) sel_inds : list or NoneType Output a subset of the data to the dictionaries if not None (default=None) Returns ------- data : dict Output with class data attributes as keys info : dict Output with class informational attributes as keys Raises ------ ValueError If output type is inconsistent with class data """ # Initialize the output data = dict() info = dict() if sel_inds is None: sel_inds = np.arange(0, self.records, 1) # Set the class informational attributes and attributes to exclude bnd_info = ['instrument', 'filename', 'min_fom', 'max_fom', 'hemisphere', 'boundary_lat'] exc_attr = ['records', 'rec_ind', 'rfunc', 'rfunc_kwargs'] # Determine whether or not 2D attributes are present and in the correct # format (xarray only) if xarray_style and hasattr(self, 'aacgm_boundary_mlt'): sel_mlt = [self.aacgm_boundary_mlt[i] for i in sel_inds] try: uniq_mlt = np.unique(sel_mlt) except (ValueError, TypeError): raise ValueError(''.join(['Boundary MLT must be uniquely ', 'defined for xarray output'])) # Catch MLT differences with the right shape and wrong values if not np.all(uniq_mlt == sel_mlt[0]): raise ValueError(''.join(['Boundary MLT must be uniquely ', 'defined for xarray output'])) # Cycle through all class attributes for attr in self.__dict__.keys(): if attr in bnd_info: # This is an informative attribute info[attr] = getattr(self, attr) elif attr not in exc_attr and not callable(getattr(self, attr)): # This is a data attribute if xarray_style: # If output to convert from a dict to xarray Dataset is # desired, we need to specify the dimensions and the data if attr.find('aacgm_boundary_') == 0: if attr == 'aacgm_boundary_mlt': val = (('aacgm_boundary_mlt'), uniq_mlt) else: val = (('dtime', 'aacgm_boundary_mlt'), np.array([getattr(self, attr)[i] for i in sel_inds])) else: val = (('dtime'), getattr(self, attr)[sel_inds]) else: # If we just want the data as a dict, no conversions are # needed try: val = getattr(self, attr)[sel_inds] except (ValueError, TypeError): # Necessary if a sub-set of boundary coords are defined val = [getattr(self, attr)[sind] for sind in sel_inds] # Assign the correctly styled value to the data dict data[attr] = val # Return the desired dicts return data, info
[docs] class EABoundary(OCBoundary): """Object containing equatorward auroral boundary (EAB) data. Parameters ---------- filename : str or NoneType File containing the required equatorward auroral boundary data sorted by time. If NoneType, no file is loaded. If 'default', `ocbpy.boundaries.files.get_default_file` is called. (default='default') instrument : str Instrument providing the EABoundaries. Requires 'image' or 'dmsp-ssj' if a file is provided. If using filename='default', also accepts 'si12', 'si13', 'wic', 'model', and ''. (default='') hemisphere : int Integer (+/- 1) denoting northern/southern hemisphere (default=1) boundary_lat : float Typical EABoundary latitude in AACGM coordinates. Hemisphere will give this boundary the desired sign. (default=64.0) stime : dt.datetime, array-like, or NoneType First time to load data or beginning of file. If specifying time, be sure to start before the time of the data to allow the best match within the allowable time tolerance to be found. If running a model (e.g., `instrument='model'`, provide an array of datetime values corresponding to the required driving index(es). (default=None) etime : dt.datetime or NoneType Last time to load data or ending of file. If specifying time, be sure to end after the last data point you wish to match to, to ensure the best match within the allowable time tolerance is made. (default=None) rfunc : numpy.ndarray, function, or NoneType EAB radius correction or model function (if `instrument` is 'model'). If None, will use the instrument default. Function must have AACGM MLT (in hours) as argument input. To allow the boundary shape to change with univeral time, each temporal instance may have a different function (array input). If a single function is provided, will recast as an array that specifies this function for all times. (default=None) rfunc_kwargs : numpy.ndarray, dict, or NoneType Optional keyword arguments for `rfunc`. If None is specified, uses function defaults. If dict is specified and `instrument` is 'model', any array-like values are expected to be the same length as `dtime` and will be recast as an array of dicts with single values. Otherwise, dict inputs are recasts as an array of this dict for all times. Array must be an array of dicts the same length as `dtime`. (default=None) See Also -------- ocbpy.OCBoundary Raises ------ ValueError Incorrect or incompatible input """ def __init__(self, filename="default", instrument='', hemisphere=1, boundary_lat=64.0, stime=None, etime=None, rfunc=None, rfunc_kwargs=None): # Process the defaults that differ for the EAB if rfunc is None: # Set to a function that will not alter the data self._set_default_rfunc(instrument) rfunc = self.rfunc self.rfunc = None if(hasattr(filename, "lower") and hasattr(instrument, "lower") and filename.lower() == "default" and instrument != "model"): filename, instrument = get_default_file(stime, etime, hemisphere, instrument, bound='eab') # Initialize the class OCBoundary.__init__(self, filename=filename, instrument=instrument, hemisphere=hemisphere, boundary_lat=boundary_lat, stime=stime, etime=etime, rfunc=rfunc, rfunc_kwargs=rfunc_kwargs) return def _set_default_rfunc(self, input_instrument): """Set the default instrument EAB boundary function. Parameters ---------- input_instrument : str Input instrument name Notes ----- Assign a function for each time in case we have a data set with a correction that changes with UT """ if input_instrument in ["", "default", "image", "dmsp-ssj", "ampere"]: self.rfunc = ocbcor.circular elif not hasattr(input_instrument, "lower"): # Allow an empty class object to be initialised self.rfunc = None else: # Only raise an error if the input instrument is a string raise ValueError("unknown instrument") return
[docs] class DualBoundary(object): """Object containing EAB and OCB data for dual-boundary coordinates. Parameters ---------- eab_filename : str or NoneType File containing the required equatorward auroral boundary data sorted by time. If NoneType, no file is loaded. If 'default', `ocbpy.boundaries.files.get_default_file` is called. (default='default') ocb_filename : str or NoneType File containing the required open-closed field line boundary data sorted by time. If NoneType, no file is loaded. If 'default', `ocbpy.boundaries.files.get_default_file` is called. (default='default') eab_instrument : str Instrument providing the EABoundaries. Requires 'image', 'ampere', or 'dmsp-ssj' if a file is provided. If using filename='default', also accepts 'si12', 'si13', 'wic', 'model', and ''. (default='') ocb_instrument : str Instrument providing the OCBoundaries. Requires 'image', 'ampere', or 'dmsp-ssj' if a file is provided. If using filename='default', also accepts 'si12', 'si13', 'wic', 'model', and ''. (default='') hemisphere : int Integer (+/- 1) denoting northern/southern hemisphere (default=1) eab_lat : float Typical EABoundary latitude in AACGM coordinates. Hemisphere will give this boundary the desired sign. (default=64.0) ocb_lat : float Typical OCBoundary latitude in AACGM coordinates. Hemisphere will give this boundary the desired sign. (default=74.0) stime : dt.datetime, array-like, or NoneType First time to load data or beginning of file. If specifying time, be sure to start before the time of the data to allow the best match within the allowable time tolerance to be found. If running a model (e.g., `instrument='model'`, provide an array of datetime values corresponding to the required driving index(es). (default=None) etime : dt.datetime or NoneType Last time to load data or ending of file. If specifying time, be sure to end after the last data point you wish to match to, to ensure the best match within the allowable time tolerance is made. (default=None) eab_rfunc : numpy.ndarray, function, or NoneType EAB radius correction or model function (if `instrument` is 'model'). If None, will use the instrument default. Function must have AACGM MLT (in hours) as argument input. To allow the boundary shape to change with univeral time, each temporal instance may have a different function (array input). If a single function is provided, will recast as an array that specifies this function for all times. (default=None) eab_rfunc_kwargs : numpy.ndarray, dict, or NoneType Optional keyword arguments for `eab_rfunc`. If None is specified, uses function defaults. If dict is specified and `instrument` is 'model', any array-like values are expected to be the same length as `dtime` and will be recast as an array of dicts with single values. Otherwise, dict inputs are recasts as an array of this dict for all times. Array must be an array of dicts the same length as `dtime`. (default=None) ocb_rfunc : numpy.ndarray, function, or NoneType OCB radius correction or model function (if `instrument` is 'model'). If None, will use the instrument default. Function must have AACGM MLT (in hours) as argument input. To allow the boundary shape to change with univeral time, each temporal instance may have a different function (array input). If a single function is provided, will recast as an array that specifies this function for all times. (default=None) ocb_rfunc_kwargs : numpy.ndarray, dict, or NoneType Optional keyword arguements for `ocb_rfunc`. If None is specified, uses function defaults. If dict is specified and `instrument` is 'model', any array-like values are expected to be the same length as `dtime` and will be recast as an array of dicts with single values. Otherwise, dict inputs are recasts as an array of this dict for all times. Array must be an array of dicts the same length as `dtime`. (default=None) eab : ocbpy.EABoundary or NoneType Equatorward auroral boundary data object or None to initialize here (default=None) ocb : ocbpy.OCBoundary Open-closed field line boundary data oject or Noneto initialize here (default=None) max_delta : int Maximum number of seconds allowed between paired EAB and OCB records (default=60) Attributes ---------- eab ocb max_delta hemisphere dtime : numpy.ndarray Numpy array of paired boundary datetimes eab_ind : numpy.ndarray Numpy array of EAB indices for a good quality paired boundary ocb_ind : numpy.ndarray Numpy array of OCB indices for a good quality paired boundary rec_ind : int Current OCB record index (default=0; initialised=-1) records : int Maximum number of paired boundary records Methods ------- set_good_ind Pair the good indices for the quality EABs and OCBs. get_next_good_ind Cycle to the the next quality paired boundary record. normal_coord Convert data position(s) to normalised co-ordinates relative to the OCB. revert_coord Convert the position of a measurement in OCB into AACGM co-ordinates. get_aacgm_boundary_lats Calculate the EAB and OCB latitude in AACGM coordinates. calc_r Calculate the scaled and unscaled radius at a normalised co-ordinates. to_dict Provide the data in this class as a pair of dictionaries. Raises ------ ValueError Incorrect or incompatible input, mismatched hemisphere assignment """ def __init__(self, eab_filename="default", ocb_filename="default", eab_instrument='', ocb_instrument='', hemisphere=1, eab_lat=64.0, ocb_lat=74.0, stime=None, etime=None, eab_rfunc=None, eab_rfunc_kwargs=None, ocb_rfunc=None, ocb_rfunc_kwargs=None, eab=None, ocb=None, max_delta=60): # Ensure the boundary latitudes are realistic if abs(eab_lat) >= abs(ocb_lat): raise ValueError('OCB must be poleward of the EAB') if max_delta <= 0: raise ValueError(''.join(['Maximum time difference between ', 'boundary measurements must be positive', ' or zero'])) # Initalize the subclass attributes if eab is None: self.eab = EABoundary(filename=eab_filename, instrument=eab_instrument, hemisphere=hemisphere, boundary_lat=eab_lat, stime=stime, etime=etime, rfunc=eab_rfunc, rfunc_kwargs=eab_rfunc_kwargs) else: self.eab = eab if ocb is None: self.ocb = OCBoundary(filename=ocb_filename, instrument=ocb_instrument, hemisphere=hemisphere, boundary_lat=ocb_lat, stime=stime, etime=etime, rfunc=ocb_rfunc, rfunc_kwargs=ocb_rfunc_kwargs) else: self.ocb = ocb # Set the hemisphere self.hemisphere = self.ocb.hemisphere if self.hemisphere != self.eab.hemisphere: raise ValueError('mismatched hemisphere assignment') # Create a time index, saving indices where both boundaries are good self.max_delta = max_delta self.set_good_ind() return def __repr__(self): out_str = "".join([repr(self.__class__).split("'")[1], "(eab=", repr(self.eab), ", ocb=", repr(self.ocb), ", max_delta=", repr(self.max_delta), ")"]) return out_str def __str__(self): out = "Dual Boundary data\n{:d} good boundary ".format(self.records) if self.records == 0: out = "{:s}pairs\nMaximum ".format(out) else: out = "{:s}pairs from {:} to {:}\nMaximum ".format( out, self.dtime[0], self.dtime[-1]) out = "{:s} boundary difference of {:.1f} s".format(out, self.max_delta) out = "{:s}\n\n{:s}\n{:s}\n".format(out, self.eab.__str__(), self.ocb.__str__()) return out def _get_current_aacgm_boundary(self): """Get the current AACGM boundaries for the EAB and OCB classes. Returns ------- eab_blat : array-like or NoneType EAB boundary latitude in AACGM coordinates at the record index, None of no boundary is set. eab_bmlt : array-like or NoneType EAB boundary MLT in AACGM coordinates at the record index, None of no boundary is set. ocb_blat : array-like or NoneType OCB boundary latitude in AACGM coordinates at the record index, None of no boundary is set. ocb_bmlt : array-like or NoneType OCB boundary MLT in AACGM coordinates at the record index, None of no boundary is set. """ # Set the OCB output if hasattr(self.ocb, "aacgm_boundary_lat"): ocb_blat = self.ocb.aacgm_boundary_lat[self.ocb.rec_ind] ocb_bmlt = self.ocb.aacgm_boundary_mlt[self.ocb.rec_ind] else: ocb_blat = None ocb_bmlt = None # Set the EAB output if hasattr(self.eab, "aacgm_boundary_lat"): eab_blat = self.eab.aacgm_boundary_lat[self.eab.rec_ind] eab_bmlt = self.eab.aacgm_boundary_mlt[self.eab.rec_ind] else: eab_blat = None eab_bmlt = None return eab_blat, eab_bmlt, ocb_blat, ocb_bmlt @property def rec_ind(self): """Record index that identifies the current good EAB/OCB pair.""" return self._rec_ind @rec_ind.setter def rec_ind(self, rec_ind): # Set the record index, and cycle the sub-class boundary indices self._rec_ind = rec_ind if rec_ind < 0: self.ocb.rec_ind = rec_ind self.eab.rec_ind = rec_ind elif rec_ind >= self.records: del_ind = self.records - rec_ind self.ocb.rec_ind = self.ocb.records + del_ind self.eab.rec_ind = self.eab.records + del_ind else: self.ocb.rec_ind = self.ocb_ind[rec_ind] self.eab.rec_ind = self.eab_ind[rec_ind] return
[docs] def set_good_ind(self, ocb_min_merit=None, ocb_max_merit=None, ocb_kwargs=None, eab_min_merit=None, eab_max_merit=None, eab_kwargs=None): """Pair the good indices for the quality EABs and OCBs. Parameters ---------- ocb_min_merit : float or NoneType Minimum value for the default figure of merit or None to not apply a custom minimum (default=None) ocb_max_merit : float or NoneTye Maximum value for the default figure of merit or None to not apply a custom maximum (default=None) ocb_kwargs : dict or NoneType Dict with optional selection criteria. The key should correspond to a data attribute and the value must be a tuple with the first value specifying 'max', 'min', 'maxeq', 'mineq', or 'equal' and the second value specifying the value to use in the comparison. None provides no optional selection criteria. (default=None) eab_min_merit : float or NoneType Minimum value for the default figure of merit or None to not apply a custom minimum (default=None) eab_max_merit : float or NoneTye Maximum value for the default figure of merit or None to not apply a custom maximum (default=None) eab_kwargs : dict or NoneType Dict with optional selection criteria. The key should correspond to a data attribute and the value must be a tuple with the first value specifying 'max', 'min', 'maxeq', 'mineq', or 'equal' and the second value specifying the value to use in the comparison. None provides no optional selection criteria. (default=None) """ # Initalize the class attributes if self.ocb.dtime is None or self.eab.dtime is None: self.records = 0 self.dtime = None self.ocb_ind = None self.eab_ind = None return self.dtime = list() self.ocb_ind = list() self.eab_ind = list() # Save the current EAB record index icurrent = self.eab.rec_ind self.eab.rec_ind = -1 # Get the good OCB indices if ocb_kwargs is None: ocb_kwargs = {} ocb_kwargs['min_merit'] = ocb_min_merit ocb_kwargs['max_merit'] = ocb_max_merit good_ocb = cycle_boundary.retrieve_all_good_indices(self.ocb, **ocb_kwargs) # Initialize the EAB good index selection options if eab_kwargs is None: eab_kwargs = {} eab_kwargs['min_merit'] = eab_min_merit eab_kwargs['max_merit'] = eab_max_merit # Match the EABs with the good OCB times iocb = 0 while self.eab.rec_ind < self.eab.records and iocb is not None: # Cycle the OCB record index to match the next good EAB index iocb = cycle_boundary.match_data_ocb( self.eab, self.ocb.dtime[good_ocb], idat=iocb, max_tol=self.max_delta, **eab_kwargs) # Save the paired data if iocb is not None and iocb < len( good_ocb) and self.eab.rec_ind < self.eab.records: self.dtime.append(self.ocb.dtime[good_ocb[iocb]]) self.ocb_ind.append(good_ocb[iocb]) self.eab_ind.append(self.eab.rec_ind) else: iocb = None # Cycle to the next good EAB index if self.eab.rec_ind < self.eab.records: self.eab.get_next_good_ocb_ind(**eab_kwargs) # Re-cast the class attributes as arrays self.dtime = np.asarray(self.dtime) self.ocb_ind = np.asarray(self.ocb_ind) self.eab_ind = np.asarray(self.eab_ind) # Reset the EAB index self.eab.rec_ind = icurrent # Set the number of good paired records self.records = len(self.dtime) # Set the data to the first good record self.rec_ind = 0 return
[docs] def get_next_good_ind(self): """Cycle the boundary attributes to the next good paired index.""" if self.records > 0 and self.rec_ind < self.records: # Cycle to next boundary self.rec_ind += 1 return
[docs] def normal_coord(self, lat, lt, coords='magnetic', height=350.0, method='ALLOWTRACE', overwrite=False): """Convert coordinates to be normalised relative to the EAB and OCB. Parameters ---------- lat : float or array-like Input latitude (degrees), must be geographic, geodetic, or AACGMV2 lt : float or array-like Input local time (hours), must be solar or AACGMV2 magnetic coords : str Input coordiate system. Accepts 'magnetic', 'geocentric', or 'geodetic' (default='magnetic') height : float or array-like Height (km) at which AACGMV2 coordinates will be calculated, if geographic coordinates are provided (default=350.0) method : str String denoting which type(s) of conversion to perform, if geographic coordinates are provided. Expects either 'TRACE' or 'ALLOWTRACE'. See AACGMV2 for details [2]_. (default='ALLOWTRACE') overwrite : bool Allow the OCB and EAB AACGM boundary locations to be overwritten (default=False) Returns ------- bound_lat : float or array-like Magnetic latitude relative to EAB and OCB (degrees) bound_mlt : float or array-like Magnetic local time relative to EAB and OCB (hours) ocb_lat : float or array-like Magnetic latitude relative to only the OCB (degrees) r_corr : float or array-like Radius correction to OCB (degrees) Notes ----- Approximation - Conversion assumes a planar surface Defines `bound_mlt` relative to only the OCB. See Also -------- aacgmv2 ocbpy.OCBoundary.normal_coord """ # Cast input as arrays lat = np.asarray(lat) lt = np.asarray(lt) height = np.asarray(height) out_shape = max([lat.shape, lt.shape, height.shape]) if out_shape == (): lat = np.array([lat]) lt = np.array([lt]) height = np.array([height]) else: # Ensure the input allows simple broadcasting if lat.shape != out_shape: if lat.shape == (): lat = np.full(shape=out_shape, fill_value=float(lat)) else: raise ValueError('mismatched input shape for latitude') if lt.shape != out_shape: if lt.shape == (): lt = np.full(shape=out_shape, fill_value=float(lt)) else: raise ValueError('mismatched input shape for local time') if height.shape != out_shape: if height.shape == (): height = np.full(shape=out_shape, fill_value=float(height)) else: raise ValueError('mismatched input shape for height') # Test the dual-boundary record index if self.rec_ind < 0 or self.rec_ind >= self.records: if out_shape == (): return np.nan, np.nan, np.nan, np.nan else: bound_lat = np.full(shape=out_shape, fill_value=np.nan) bound_mlt = np.full(shape=out_shape, fill_value=np.nan) ocb_lat = np.full(shape=out_shape, fill_value=np.nan) r_corr = np.full(shape=out_shape, fill_value=np.nan) return bound_lat, bound_mlt, ocb_lat, r_corr # If needed, convert from geographic to magnetic coordinates if coords.lower().find('mag') < 0: # Convert from lt to longitude lon = ocb_time.slt2glon(lt, self.dtime[self.rec_ind]) # If geocentric coordinates are specified, add this info to the # method flag if coords.lower() == 'geocentric': method = "|".join([method, coords.upper()]) aacgm_lat, _, aacgm_mlt = aacgmv2.get_aacgm_coord_arr( lat, lon, height, self.dtime[self.rec_ind], method) else: aacgm_lat = np.array(lat) aacgm_mlt = np.array(lt) # Calculate the coordinates relative to the OCB ocb_lat, bound_mlt, r_corr = self.ocb.normal_coord(aacgm_lat, aacgm_mlt, coords='magnetic', height=height, method=method) bound_lat = np.array(ocb_lat) if np.isnan(ocb_lat).all(): if out_shape == (): return bound_lat[0], bound_mlt[0], ocb_lat[0], r_corr[0] else: return bound_lat, bound_mlt, ocb_lat, r_corr # Get the boundary locations in AACGM coordinates if not overwrite: orig_bound = self._get_current_aacgm_boundary() num_none = sum([obound is None for obound in orig_bound]) if len(orig_bound) == num_none: overwrite = True self.get_aacgm_boundary_lats(aacgm_mlt, rec_ind=self.rec_ind, overwrite=True, set_lon=False) ocb_aacgm_boundary = self.ocb.aacgm_boundary_lat[self.ocb.rec_ind] eab_aacgm_boundary = self.eab.aacgm_boundary_lat[self.eab.rec_ind] # Normalize each of the points using the correct scaling factor imid = np.where((abs(aacgm_lat) < abs(ocb_aacgm_boundary)) & (abs(aacgm_lat) >= abs(eab_aacgm_boundary)))[0] iout = np.where(abs(aacgm_lat) < abs(eab_aacgm_boundary))[0] # Test to ensure that all points fall into a region iocb = np.where(abs(ocb_lat) >= abs(self.ocb.boundary_lat))[0] if len(iocb) + len(imid) + len(iout) < len(aacgm_lat): msg = "not all points fall into a boundary region" if np.isnan(ocb_aacgm_boundary).any() or np.isnan( eab_aacgm_boundary).any(): msg += ", boundaries are poorly defined" logger.warning(msg) ibad = [i for i in range(len(aacgm_lat)) if i not in iocb and i not in imid and i not in iout] bound_lat[ibad] = np.nan if len(imid) > 0: bound_lat[imid] = self.ocb.boundary_lat - ( ocb_aacgm_boundary[imid] - aacgm_lat[imid]) * ( self.ocb.boundary_lat - self.eab.boundary_lat) / ( ocb_aacgm_boundary[imid] - eab_aacgm_boundary[imid]) if len(iout) > 0: bound_lat[iout] = self.eab.boundary_lat - ( eab_aacgm_boundary[iout] - aacgm_lat[iout]) * ( self.eab.boundary_lat / eab_aacgm_boundary[iout]) # If desired, replace the boundaries if not overwrite: if orig_bound[2] is not None: self.ocb.aacgm_boundary_lat[self.ocb.rec_ind] = orig_bound[2] self.ocb.aacgm_boundary_mlt[self.ocb.rec_ind] = orig_bound[3] if orig_bound[0] is not None: self.eab.aacgm_boundary_lat[self.eab.rec_ind] = orig_bound[0] self.eab.aacgm_boundary_mlt[self.eab.rec_ind] = orig_bound[1] if out_shape == (): return bound_lat[0], bound_mlt[0], ocb_lat[0], r_corr[0] else: return bound_lat, bound_mlt, ocb_lat, r_corr
[docs] def revert_coord(self, ocb_lat, ocb_mlt, r_corr=0.0, is_ocb=True, aacgm_mlt=None, coords='magnetic', height=350.0, method='ALLOWTRACE', overwrite=False): """Convert from OCB or dual-boundary into AACGM co-ordinates. Parameters ---------- ocb_lat : float or array-like Input OCB or dual-boundary latitude in degrees ocb_mlt : float or array-like Input OCB/dual-boundary local time in hours r_corr : float or array-like Input OCB radial correction in degrees, may be a function of AACGM MLT (default=0.0) is_ocb : bool Specifies that the input of `ocb_lat` is in OCB coordinates if True or in dual-boundary coordinates if False. If False, `aacgm_mlt` must be provided (default=True) aacgm_mlt : float, array-like, or NoneType Output AACGM MLT of the dual-boundary data, only used if `is_ocb` is False (default=None) coords : str Output coordiate system. Accepts 'magnetic', 'geocentric', or 'geodetic' (default='magnetic') height : float or array-like Geocentric height above sea level (km) at which AACGMV2 coordinates will be calculated, if geographic coordinates are desired (default=350.0) method : str String denoting which type(s) of conversion to perform, if geographic coordinates are provided. Expects either 'TRACE' or 'ALLOWTRACE'. See AACGMV2 for details [2]_. (default='ALLOWTRACE') overwrite : bool Allow the OCB and EAB AACGM boundary locations to be overwritten (default=False) Returns ------- lat : float or array-like latitude (degrees) lt : float or array-like local time (hours) Raises ------ ValueError When necessary inputs are not fully supplied Notes ----- Approximation - Conversion assumes a planar surface See Also -------- aacgmv2 ocbpy.OCBoundary.revert_coord """ # Cast input as arrays and prepare the output ocb_lat = np.asarray(ocb_lat) ocb_mlt = np.asarray(ocb_mlt) height = np.asarray(height) out_shape = max([ocb_lat.shape, ocb_mlt.shape, height.shape]) if out_shape == (): ocb_lat = np.array([ocb_lat]) ocb_mlt = np.array([ocb_mlt]) height = np.array([height]) else: # Ensure the input allows simple broadcasting if ocb_lat.shape != out_shape: if ocb_lat.shape == (): ocb_lat = np.full(shape=out_shape, fill_value=float(ocb_lat)) else: raise ValueError('mismatched input shape for OCB latitude') if ocb_mlt.shape != out_shape: if ocb_mlt.shape == (): ocb_mlt = np.full(shape=out_shape, fill_value=float(ocb_mlt)) else: raise ValueError('mismatched input shape for OCB MLT') if height.shape != out_shape: if height.shape == (): height = np.full(shape=out_shape, fill_value=float(height)) else: raise ValueError('mismatched input shape for height') # Get the OCB reversion lat, lt = self.ocb.revert_coord(ocb_lat, ocb_mlt, r_corr=r_corr, coords=coords, height=height, method=method) # If not already flagged, see if all OCB by location if not is_ocb: iocb = np.where(abs(ocb_lat) >= abs(self.ocb.boundary_lat))[0] if len(ocb_lat) == len(iocb): is_ocb = True # Continue calculating the output for the other regions, if needed if not is_ocb: # Ensure the AACGM MLT was provided on input if aacgm_mlt is None: raise ValueError( ''.join(['cannot revert dual-boundary coordinates without', ' the AACGM MLT'])) aacgm_mlt = np.asarray(aacgm_mlt) if aacgm_mlt.shape == (): if out_shape == (): aacgm_mlt = np.array([aacgm_mlt]) else: aacgm_mlt = np.full(shape=out_shape, fill_value=float(aacgm_mlt)) # Get the boundary locations in AACGM coordinates if not overwrite: orig_bound = self._get_current_aacgm_boundary() num_none = sum([obound is None for obound in orig_bound]) if len(orig_bound) == num_none: overwrite = True self.get_aacgm_boundary_lats(aacgm_mlt, rec_ind=self.rec_ind, overwrite=True, set_lon=False) ocb_aacgm_boundary = self.ocb.aacgm_boundary_lat[self.ocb.rec_ind] eab_aacgm_boundary = self.eab.aacgm_boundary_lat[self.eab.rec_ind] # Raise warning for poorly defined boundaries, may cause NaN output if np.isnan(ocb_aacgm_boundary).any() or np.isnan( eab_aacgm_boundary).any(): msg = "".join(["not all points fall into a boundary region", ", boundaries are poorly defined"]) logger.warning(msg) # Revert each of the points using the correct scaling factor imid = np.where((abs(ocb_lat) < abs(self.ocb.boundary_lat)) & (abs(ocb_lat) >= abs(self.eab.boundary_lat)))[0] iout = np.where(abs(ocb_lat) < abs(self.eab.boundary_lat))[0] if len(imid) > 0: lat[imid] = ocb_aacgm_boundary[imid] - ( self.ocb.boundary_lat - ocb_lat[imid]) * ( ocb_aacgm_boundary[imid] - eab_aacgm_boundary[imid]) / ( self.ocb.boundary_lat - self.eab.boundary_lat) lt[imid] = aacgm_mlt[imid] if len(iout) > 0: lat[iout] = eab_aacgm_boundary[iout] - ( self.eab.boundary_lat - ocb_lat[iout]) * ( eab_aacgm_boundary[iout] / self.eab.boundary_lat) lt[iout] = aacgm_mlt[iout] # If desired, replace the boundaries if not overwrite: if orig_bound[2] is not None: self.ocb.aacgm_boundary_lat[ self.ocb.rec_ind] = orig_bound[2] self.ocb.aacgm_boundary_mlt[ self.ocb.rec_ind] = orig_bound[3] if orig_bound[0] is not None: self.eab.aacgm_boundary_lat[ self.eab.rec_ind] = orig_bound[0] self.eab.aacgm_boundary_mlt[ self.eab.rec_ind] = orig_bound[1] # If needed, convert from magnetic to geographic coordinates if coords.lower().find('mag') < 0: imag = list(imid) + list(iout) # Convert from mlt to longitude lon = aacgmv2.convert_mlt(aacgm_mlt[imag], self.dtime[self.rec_ind], m2a=True) # If geocentric coordinates are specified, add this info to the # method flag if coords.lower() == 'geocentric': method = "|".join([method, coords.upper()]) method = "|".join([method, "A2G"]) # Convert from magnetic coordinates to geo coordinates lat[imag], lon, _ = aacgmv2.convert_latlon_arr( lat[imag], lon, height, self.dtime[self.rec_ind], method) # Convert from longitude to solar local time lt[imag] = ocb_time.glon2slt(lon, self.dtime[self.rec_ind]) if out_shape == (): return lat[0], lt[0] else: return lat, lt
[docs] def get_aacgm_boundary_lats(self, aacgm_mlt, rec_ind=None, overwrite=False, set_lon=True): """Calculate the OCB latitude in AACGM coordinates at specified MLTs. Parameters ---------- aacgm_mlt : int, float, or array-like AACGM longitude location(s) (in degrees) for which the OCB latitude will be calculated. rec_ind : int, array-like, or NoneType Record index for which the OCB AACGM latitude will be calculated, or None to calculate all boundary locations (default=None). overwrite : bool Overwrite previous boundary locations if this time already has calculated boundary latitudes for a different set of input longitudes (default=False). set_lon : bool Calculate the AACGM longitude of the OCB alongside the MLT (default=True). See Also -------- ocbpy.OCBoundary.get_aacgm_boundary_lat """ # Get the desired EAB and OCB record indices if rec_ind is None: eab_rec_ind = None ocb_rec_ind = None else: eab_rec_ind = self.eab_ind[rec_ind] ocb_rec_ind = self.ocb_ind[rec_ind] # Calculate the boundary locations self.eab.get_aacgm_boundary_lat(aacgm_mlt, rec_ind=eab_rec_ind, overwrite=overwrite, set_lon=set_lon) self.ocb.get_aacgm_boundary_lat(aacgm_mlt, rec_ind=ocb_rec_ind, overwrite=overwrite, set_lon=set_lon) return
[docs] def calc_r(self, bound_lat, bound_mlt, aacgm_mlt, r_corr, overwrite=False): """Calculate the scaled and unscaled radius at a normalised co-ordinate. Parameters ---------- bound_lat : array-like or float Normalised dual-boundary latitude in degrees bound_mlt : array-like or float Normalised dual-boundary MLT in hours aacgm_mlt : array-like or float MLT in AACGM coordinates in hours r_corr : array-like or float OCB radial correction in degrees overwrite : bool Overwrite previous boundary locations if this time already has calculated boundary latitudes for a different set of input longitudes (default=False). Returns ------- scaled_r : array-like Scaled radius for the region (OCB, EAB, Sub-auroral) in degrees unscaled_r : array-like Unscaled radius for the region (OCB, EAB, Sub-auroral) in degrees """ # Ensure all data is array-like bound_lat = np.asarray(bound_lat) bound_mlt = np.asarray(bound_mlt) aacgm_mlt = np.asarray(aacgm_mlt) r_corr = np.asarray(r_corr) isfloat = False if bound_lat.shape == (): bound_lat = np.array([bound_lat]) bound_mlt = np.array([bound_mlt]) aacgm_mlt = np.array([aacgm_mlt]) r_corr = np.array([r_corr]) isfloat = True # Initialize the output, start by assuming the data is inside the OCB out_shape = max([bound_lat.shape, bound_mlt.shape, r_corr.shape]) scaled_r = np.full(shape=out_shape, fill_value=90.0 - abs(self.ocb.boundary_lat)) if self.rec_ind < 0 or self.rec_ind >= self.records: unscaled_r = np.full(shape=out_shape, fill_value=np.nan) return scaled_r, unscaled_r if out_shape == r_corr.shape: unscaled_r = self.ocb.r[self.ocb_ind[self.rec_ind]] + r_corr else: unscaled_r = np.full(shape=out_shape, fill_value=self.ocb.r[ self.ocb_ind[self.rec_ind]] + r_corr) # Identify points in the other regions imid = np.where((abs(bound_lat) < abs(self.ocb.boundary_lat)) & (abs(bound_lat) >= abs(self.eab.boundary_lat)))[0] iout = np.where(abs(bound_lat) < abs(self.eab.boundary_lat))[0] # Get the boundary locations in AACGM coordinates if not overwrite: orig_bound = self._get_current_aacgm_boundary() num_none = sum([obound is None for obound in orig_bound]) if len(orig_bound) == num_none: overwrite = True self.get_aacgm_boundary_lats(aacgm_mlt, rec_ind=self.rec_ind, overwrite=True, set_lon=False) ocb_aacgm_boundary = self.ocb.aacgm_boundary_lat[self.ocb.rec_ind] eab_aacgm_boundary = self.eab.aacgm_boundary_lat[self.eab.rec_ind] # Calculate the radii in the auroral region if len(imid) > 0: scaled_r[imid] = abs(self.ocb.boundary_lat - self.eab.boundary_lat) unscaled_r[imid] = abs(ocb_aacgm_boundary[imid] - eab_aacgm_boundary[imid]) if len(iout) > 0: scaled_r[iout] = abs(self.eab.boundary_lat) unscaled_r[iout] = abs(eab_aacgm_boundary[iout]) # If desired, replace the boundaries if not overwrite: if orig_bound[2] is not None: self.ocb.aacgm_boundary_lat[self.ocb.rec_ind] = orig_bound[2] self.ocb.aacgm_boundary_mlt[self.ocb.rec_ind] = orig_bound[3] if orig_bound[0] is not None: self.eab.aacgm_boundary_lat[self.eab.rec_ind] = orig_bound[0] self.eab.aacgm_boundary_mlt[self.eab.rec_ind] = orig_bound[1] if isfloat: return scaled_r[0], unscaled_r[0] else: return scaled_r, unscaled_r
[docs] def to_dict(self, xarray_style=False, sel_inds=None): """Convert the boundary data into a pair of dictionaries. Parameters ---------- xarray_style : bool If True, dict values will be a tuple with a tuple of dimensions as first item and data as the second item (default=False) sel_inds : list or NoneType Output a subset of the paired data to the dictionaries if not None (default=None) Returns ------- data : dict Output with class data attributes as keys info : dict Output with class informational attributes as keys Raises ------ ValueError If output type is inconsistent with class data """ # Initialize the output data = dict() info = dict() if sel_inds is None: sel_inds = np.arange(0, self.records, 1) # Set the class informational and sub-class attributes bnd_info = ['hemisphere', 'max_delta'] sub_class = ['ocb', 'eab'] # Cycle through all class attributes for attr in self.__dict__.keys(): if attr in bnd_info: # This is an informative attribute info[attr] = getattr(self, attr) elif attr in sub_class: # Get the dicts from the sub-class for the paired, selected data if len(sel_inds) == 0: sub_inds = None else: sub_inds = getattr(self, "_".join([attr, "ind"]))[sel_inds] sub_data, sub_info = getattr(self, attr).to_dict( xarray_style=xarray_style, sel_inds=sub_inds) # Assign the sub-class information to the info dict for ikey in sub_info: if ikey not in bnd_info: skey = "_".join([attr, ikey]) info[skey] = sub_info[ikey] # Assign the paired, selected values to the data dict for dkey in sub_data: if dkey == 'aacgm_boundary_mlt': if dkey not in data.keys(): data[dkey] = sub_data[dkey] else: if xarray_style: comp_dat = data[dkey][1] == sub_data[dkey][1] else: comp_dat = [ np.all(data[dkey][i] == sdat) for i, sdat in enumerate(sub_data[dkey])] if not np.all(comp_dat): raise ValueError(''.join([ 'Boundary MLT must be uniquely defined ', ' for xarray output'])) elif dkey == 'dtime': # Get the time from the DualBoundary class if dkey not in data.keys(): if xarray_style: data[dkey] = ((dkey), getattr(self, dkey)[sel_inds]) else: data[dkey] = getattr(self, dkey)[sel_inds] else: # Reform the name and assign the paired, selected data skey = "_".join([attr, dkey]) data[skey] = sub_data[dkey] # Return the desired dicts return data, info