Single File Calibration¶

by Josh Dillon, Aaron Parsons, Tyler Cox, and Zachary Martinot, last updated December 15, 2025

This notebook is designed to infer as much information about the array from a single file, including pushing the calibration and RFI mitigation as far as possible. Calibration includes redundant-baseline calibration, RFI-based calibration of delay slopes, model-based calibration of overall amplitudes, and a full per-frequency phase gradient absolute calibration if abscal model files are available.

Here's a set of links to skip to particular figures and tables:

• Figure 1: RFI Flagging¶

• Figure 2: Plot of autocorrelations with classifications¶

• Figure 3: Summary of antenna classifications prior to calibration¶

• Figure 4: Redundant calibration of a single baseline group¶

• Figure 5: Absolute calibration of redcal degeneracies¶

• Figure 6: Relative Phase Calibration¶

• Figure 7: chi^2 per antenna across the array¶

• Figure 8: Summary of antenna classifications after redundant calibration¶

• Table 1: Complete summary of per antenna classifications¶

In [1]:
import time
tstart = time.time()
!hostname
bigmem1.rtp.pvt
In [2]:
import os
os.environ['HDF5_USE_FILE_LOCKING'] = 'FALSE'
import h5py
import hdf5plugin  # REQUIRED to have the compression plugins available
import numpy as np
from scipy import constants, interpolate
import copy
import glob
import re
import matplotlib
import matplotlib.pyplot as plt
import pandas as pd
pd.set_option('display.max_rows', 1000)
from uvtools.plot import plot_antpos, plot_antclass
from hera_qm import ant_metrics, ant_class, xrfi
from hera_cal import io, utils, redcal, apply_cal, datacontainer, abscal
from hera_filters import dspec
from hera_notebook_templates.data import DATA_PATH as HNBT_DATA
from IPython.display import display, HTML
import linsolve
display(HTML("<style>.container { width:100% !important; }</style>"))
_ = np.seterr(all='ignore')  # get rid of red warnings
%config InlineBackend.figure_format = 'retina'
In [3]:
# this enables better memory management on linux
import ctypes
def malloc_trim():
    try:
        ctypes.CDLL('libc.so.6').malloc_trim(0) 
    except OSError:
        pass

Parse inputs and outputs¶

To use this notebook interactively, you will have to provide a sum filename path if none exists as an environment variable. All other parameters have reasonable default values.

In [4]:
# figure out whether to save results
SAVE_RESULTS = os.environ.get("SAVE_RESULTS", "TRUE").upper() == "TRUE"
SAVE_OMNIVIS_FILE = os.environ.get("SAVE_OMNIVIS_FILE", "FALSE").upper() == "TRUE"

# get infile names
SUM_FILE = os.environ.get("SUM_FILE", None)
# SUM_FILE = '/lustre/aoc/projects/hera/h6c-analysis/IDR2/2459867/zen.2459867.46002.sum.uvh5' # If sum_file is not defined in the environment variables, define it here.
USE_DIFF = os.environ.get("USE_DIFF", "TRUE").upper() == "TRUE"
if USE_DIFF:
    DIFF_FILE = SUM_FILE.replace('sum', 'diff')
else:
    DIFF_FILE = None
    RTP_ANTCLASS = SUM_FILE.replace('.uvh5', '.rtp_ant_class.csv')
VALIDATION = os.environ.get("VALIDATION", "FALSE").upper() == "TRUE"

# get outfilenames
AM_FILE = (SUM_FILE.replace('.uvh5', '.ant_metrics.hdf5') if SAVE_RESULTS else None)
ANTCLASS_FILE = (SUM_FILE.replace('.uvh5', '.ant_class.csv') if SAVE_RESULTS else None)
OMNICAL_FILE = (SUM_FILE.replace('.uvh5', '.omni.calfits') if SAVE_RESULTS else None)
OMNIVIS_FILE = (SUM_FILE.replace('.uvh5', '.omni_vis.uvh5') if SAVE_RESULTS else None)

for fname in ['SUM_FILE', 'DIFF_FILE', 'AM_FILE', 'ANTCLASS_FILE', 'OMNICAL_FILE', 'OMNIVIS_FILE', 
              'SAVE_RESULTS', 'SAVE_OMNIVIS_FILE', 'USE_DIFF', 'VALIDATION']:
    print(f"{fname} = '{eval(fname)}'")
SUM_FILE = '/mnt/sn1/data2/2461100/zen.2461100.45939.sum.uvh5'
DIFF_FILE = '/mnt/sn1/data2/2461100/zen.2461100.45939.diff.uvh5'
AM_FILE = '/mnt/sn1/data2/2461100/zen.2461100.45939.sum.ant_metrics.hdf5'
ANTCLASS_FILE = '/mnt/sn1/data2/2461100/zen.2461100.45939.sum.ant_class.csv'
OMNICAL_FILE = '/mnt/sn1/data2/2461100/zen.2461100.45939.sum.omni.calfits'
OMNIVIS_FILE = '/mnt/sn1/data2/2461100/zen.2461100.45939.sum.omni_vis.uvh5'
SAVE_RESULTS = 'True'
SAVE_OMNIVIS_FILE = 'False'
USE_DIFF = 'True'
VALIDATION = 'False'

Parse settings¶

Load settings relating to the operation of the notebook, then print what was loaded (or default).

In [5]:
# parse plotting settings
PLOT = os.environ.get("PLOT", "TRUE").upper() == "TRUE"
if PLOT:
    %matplotlib inline

# parse omnical settings
OC_MAX_DIMS = int(os.environ.get("OC_MAX_DIMS", 4))
OC_MIN_DIM_SIZE = int(os.environ.get("OC_MIN_DIM_SIZE", 8))
OC_SKIP_OUTRIGGERS = os.environ.get("OC_SKIP_OUTRIGGERS", "TRUE").upper() == "TRUE"
OC_MIN_BL_LEN = float(os.environ.get("OC_MIN_BL_LEN", 1))
OC_MAX_BL_LEN = float(os.environ.get("OC_MAX_BL_LEN", 1e100))
OC_MAXITER = int(os.environ.get("OC_MAXITER", 50))
OC_MAX_RERUN = int(os.environ.get("OC_MAX_RERUN", 10))
OC_RERUN_MAXITER = int(os.environ.get("OC_RERUN_MAXITER", 250))
OC_MAX_CHISQ_FLAGGING_DYNAMIC_RANGE = float(os.environ.get("OC_MAX_CHISQ_FLAGGING_DYNAMIC_RANGE", 1.5))
OC_USE_PRIOR_SOL = os.environ.get("OC_USE_PRIOR_SOL", "FALSE").upper() == "TRUE"
OC_PRIOR_SOL_FLAG_THRESH = float(os.environ.get("OC_PRIOR_SOL_FLAG_THRESH", .95))
OC_RESTART_FROM_FC_EVERY_ITER = os.environ.get("OC_RESTART_FROM_FC_EVERY_ITER", "FALSE").upper() == "TRUE"
OC_USE_GPU = os.environ.get("OC_USE_GPU", "FALSE").upper() == "TRUE"

# parse RFI settings
RFI_DPSS_HALFWIDTH = float(os.environ.get("RFI_DPSS_HALFWIDTH", 300e-9))
RFI_NSIG = float(os.environ.get("RFI_NSIG", 4))

# parse abscal settings
ABSCAL_MODEL_FILES_GLOB = os.environ.get("ABSCAL_MODEL_FILES_GLOB", None)
ABSCAL_MIN_BL_LEN = float(os.environ.get("ABSCAL_MIN_BL_LEN", 1.0))
ABSCAL_MAX_BL_LEN = float(os.environ.get("ABSCAL_MAX_BL_LEN", 140.0))
CALIBRATE_CROSS_POLS = os.environ.get("CALIBRATE_CROSS_POLS", "TRUE").upper() == "TRUE"

# print settings
for setting in ['PLOT', 'OC_MAX_DIMS', 'OC_MIN_DIM_SIZE', 'OC_SKIP_OUTRIGGERS', 
                'OC_MIN_BL_LEN', 'OC_MAX_BL_LEN', 'OC_MAXITER', 'OC_MAX_RERUN', 'OC_RERUN_MAXITER', 
                'OC_MAX_CHISQ_FLAGGING_DYNAMIC_RANGE', 'OC_USE_PRIOR_SOL', 'OC_PRIOR_SOL_FLAG_THRESH', 
                'OC_USE_GPU', 'OC_RESTART_FROM_FC_EVERY_ITER', 'RFI_DPSS_HALFWIDTH', 'RFI_NSIG', 
                'ABSCAL_MODEL_FILES_GLOB', 'ABSCAL_MIN_BL_LEN', 'ABSCAL_MAX_BL_LEN', "CALIBRATE_CROSS_POLS"]:
    print(f'{setting} = {eval(setting)}')
PLOT = True
OC_MAX_DIMS = 4
OC_MIN_DIM_SIZE = 8
OC_SKIP_OUTRIGGERS = True
OC_MIN_BL_LEN = 1.0
OC_MAX_BL_LEN = 140.0
OC_MAXITER = 25
OC_MAX_RERUN = 10
OC_RERUN_MAXITER = 125
OC_MAX_CHISQ_FLAGGING_DYNAMIC_RANGE = 1.5
OC_USE_PRIOR_SOL = True
OC_PRIOR_SOL_FLAG_THRESH = 0.95
OC_USE_GPU = False
OC_RESTART_FROM_FC_EVERY_ITER = False
RFI_DPSS_HALFWIDTH = 3e-07
RFI_NSIG = 4.0
ABSCAL_MODEL_FILES_GLOB = None
ABSCAL_MIN_BL_LEN = 1.0
ABSCAL_MAX_BL_LEN = 140.0
CALIBRATE_CROSS_POLS = True

Parse bounds¶

Load settings related to classifying antennas as good, suspect, or bad, then print what was loaded (or default).

In [6]:
# ant_metrics bounds for low correlation / dead antennas
am_corr_bad = (0, float(os.environ.get("AM_CORR_BAD", 0.35)))
am_corr_suspect = (float(os.environ.get("AM_CORR_BAD", 0.35)), float(os.environ.get("AM_CORR_SUSPECT", 0.45)))

# ant_metrics bounds for cross-polarized antennas
am_xpol_bad = (-1, float(os.environ.get("AM_XPOL_BAD", -0.1)))
am_xpol_suspect = (float(os.environ.get("AM_XPOL_BAD", -0.1)), float(os.environ.get("AM_XPOL_SUSPECT", 0)))

# bounds on solar altitude (in degrees)
good_solar_altitude = (-90, float(os.environ.get("SUSPECT_SOLAR_ALTITUDE", 0)))
suspect_solar_altitude = (float(os.environ.get("SUSPECT_SOLAR_ALTITUDE", 0)), 90)

# bounds on zeros in spectra
good_zeros_per_eo_spectrum = (0, int(os.environ.get("MAX_ZEROS_PER_EO_SPEC_GOOD", 2)))
suspect_zeros_per_eo_spectrum = (0, int(os.environ.get("MAX_ZEROS_PER_EO_SPEC_SUSPECT", 8)))

# bounds on autocorrelation power
auto_power_good = (float(os.environ.get("AUTO_POWER_GOOD_LOW", 5)), float(os.environ.get("AUTO_POWER_GOOD_HIGH", 30)))
auto_power_suspect = (float(os.environ.get("AUTO_POWER_SUSPECT_LOW", 1)), float(os.environ.get("AUTO_POWER_SUSPECT_HIGH", 60)))

# bounds on autocorrelation slope
auto_slope_good = (float(os.environ.get("AUTO_SLOPE_GOOD_LOW", -0.4)), float(os.environ.get("AUTO_SLOPE_GOOD_HIGH", 0.4)))
auto_slope_suspect = (float(os.environ.get("AUTO_SLOPE_SUSPECT_LOW", -0.6)), float(os.environ.get("AUTO_SLOPE_SUSPECT_HIGH", 0.6)))

# bounds on autocorrelation RFI
auto_rfi_good = (0, float(os.environ.get("AUTO_RFI_GOOD", 1.5)))
auto_rfi_suspect = (0, float(os.environ.get("AUTO_RFI_SUSPECT", 2)))

# bounds on autocorrelation shape
auto_shape_good = (0, float(os.environ.get("AUTO_SHAPE_GOOD", 0.1)))
auto_shape_suspect = (0, float(os.environ.get("AUTO_SHAPE_SUSPECT", 0.2)))

# bound on per-xengine non-noiselike power in diff
bad_xengine_zcut = float(os.environ.get("BAD_XENGINE_ZCUT", 10.0))

# bounds on chi^2 per antenna in omnical
oc_cspa_good = (0, float(os.environ.get("OC_CSPA_GOOD", 2)))
oc_cspa_suspect = (0, float(os.environ.get("OC_CSPA_SUSPECT", 3)))

# print bounds
for bound in ['am_corr_bad', 'am_corr_suspect', 'am_xpol_bad', 'am_xpol_suspect', 
              'good_solar_altitude', 'suspect_solar_altitude',
              'good_zeros_per_eo_spectrum', 'suspect_zeros_per_eo_spectrum',
              'auto_power_good', 'auto_power_suspect', 'auto_slope_good', 'auto_slope_suspect',
              'auto_rfi_good', 'auto_rfi_suspect', 'auto_shape_good', 'auto_shape_suspect',
              'bad_xengine_zcut', 'oc_cspa_good', 'oc_cspa_suspect']:
    print(f'{bound} = {eval(bound)}')
am_corr_bad = (0, 0.35)
am_corr_suspect = (0.35, 0.45)
am_xpol_bad = (-1, -0.1)
am_xpol_suspect = (-0.1, 0.0)
good_solar_altitude = (-90, 0.0)
suspect_solar_altitude = (0.0, 90)
good_zeros_per_eo_spectrum = (0, 2)
suspect_zeros_per_eo_spectrum = (0, 8)
auto_power_good = (5.0, 30.0)
auto_power_suspect = (1.0, 60.0)
auto_slope_good = (-0.4, 0.4)
auto_slope_suspect = (-0.6, 0.6)
auto_rfi_good = (0, 1.5)
auto_rfi_suspect = (0, 2.0)
auto_shape_good = (0, 0.1)
auto_shape_suspect = (0, 0.2)
bad_xengine_zcut = 10.0
oc_cspa_good = (0, 2.0)
oc_cspa_suspect = (0, 3.0)

Load sum and diff data¶

In [7]:
read_start = time.time()
hd = io.HERADataFastReader(SUM_FILE)
data, _, _ = hd.read(read_flags=False, read_nsamples=False)
if USE_DIFF:
    hd_diff = io.HERADataFastReader(DIFF_FILE)
    diff_data, _, _ = hd_diff.read(read_flags=False, read_nsamples=False, dtype=np.complex64, fix_autos_func=np.real)
print(f'Finished loading data in {(time.time() - read_start) / 60:.2f} minutes.')
Finished loading data in 0.58 minutes.
In [8]:
ants = sorted(set([ant for bl in hd.bls for ant in utils.split_bl(bl)]))
auto_bls = [bl for bl in data if (bl[0] == bl[1]) and (utils.split_pol(bl[2])[0] == utils.split_pol(bl[2])[1])]
antpols = sorted(set([ant[1] for ant in ants]))
In [9]:
# print basic information about the file
print(f'File: {SUM_FILE}')
print(f'JDs: {hd.times} ({np.median(np.diff(hd.times)) * 24 * 3600:.5f} s integrations)')
print(f'LSTS: {hd.lsts * 12 / np.pi } hours')
print(f'Frequencies: {len(hd.freqs)} {np.median(np.diff(hd.freqs)) / 1e6:.5f} MHz channels from {hd.freqs[0] / 1e6:.5f} to {hd.freqs[-1] / 1e6:.5f} MHz')
print(f'Antennas: {len(hd.data_ants)}')
print(f'Polarizations: {hd.pols}')
File: /mnt/sn1/data2/2461100/zen.2461100.45939.sum.uvh5
JDs: [2461100.45933233 2461100.45944418] (9.66368 s integrations)
LSTS: [11.03760276 11.04029447] hours
Frequencies: 1536 0.12207 MHz channels from 46.92078 to 234.29871 MHz
Antennas: 290
Polarizations: ['nn', 'ee', 'ne', 'en']

Classify good, suspect, and bad antpols¶

In [10]:
ALL_FLAGGED = False
def all_flagged():
    if ALL_FLAGGED:
        print('All antennas are flagged, so this cell is being skipped.')
    return ALL_FLAGGED

# initialize classes to None to help make Table 1 when everything is flagged
overall_class = None
am_totally_dead = None
am_corr = None
am_xpol = None
solar_class = None
zeros_class = None
auto_power_class = None
auto_slope_class = None
auto_rfi_class = None
auto_shape_class = None
xengine_diff_class = None
meta = None
redcal_class = None 

Load classifications that use diffs if diffs are not available¶

In [11]:
if not USE_DIFF:
    def read_antenna_classification(df, category):
        ac = ant_class.AntennaClassification()
        ac._data = {}
        for antname, class_data, antclass in zip(df['Antenna'], df[category], df[f'{category} Class']):
            try:        
                class_data = float(class_data)
            except:
                pass
            if isinstance(class_data, str) or np.isfinite(class_data):
                ant = (int(antname[:-1]), utils._comply_antpol(antname[-1]))
                ac[ant] = antclass
                ac._data[ant] = class_data
        return ac

    df = pd.read_csv(RTP_ANTCLASS)
    am_totally_dead = read_antenna_classification(df, 'Dead?')
    am_corr = read_antenna_classification(df, 'Low Correlation')
    am_xpol = read_antenna_classification(df, 'Cross-Polarized')
    zeros_class = read_antenna_classification(df, 'Even/Odd Zeros')
    xengine_diff_class = read_antenna_classification(df, 'Bad Diff X-Engines')

Run ant_metrics¶

This classifies antennas as cross-polarized, low-correlation, or dead. Such antennas are excluded from any calibration.

In [12]:
if USE_DIFF:
    am = ant_metrics.AntennaMetrics(SUM_FILE, DIFF_FILE, sum_data=data, diff_data=diff_data)
    am.iterative_antenna_metrics_and_flagging(crossCut=am_xpol_bad[1], deadCut=am_corr_bad[1])
    am.all_metrics = {}  # this saves time and disk by getting rid of per-iteration information we never use
    if SAVE_RESULTS:
        am.save_antenna_metrics(AM_FILE, overwrite=True)
In [13]:
if USE_DIFF:
    # Turn ant metrics into classifications
    totally_dead_ants = [ant for ant, i in am.xants.items() if i == -1]
    am_totally_dead = ant_class.AntennaClassification(good=[ant for ant in ants if ant not in totally_dead_ants], bad=totally_dead_ants)
    am_corr = ant_class.antenna_bounds_checker(am.final_metrics['corr'], bad=[am_corr_bad], suspect=[am_corr_suspect], good=[(0, 1)])
    am_xpol = ant_class.antenna_bounds_checker(am.final_metrics['corrXPol'], bad=[am_xpol_bad], suspect=[am_xpol_suspect], good=[(-1, 1)])
ant_metrics_class = am_totally_dead + am_corr + am_xpol
if np.all([ant_metrics_class[utils.split_bl(bl)[0]] == 'bad' for bl in auto_bls]):
    ALL_FLAGGED = True
    print('All antennas are flagged for ant_metrics.')

Mark sun-up (or high solar altitude) data as suspect¶

In [14]:
min_sun_alt = np.min(utils.get_sun_alt(hd.times))
solar_class = ant_class.antenna_bounds_checker({ant: min_sun_alt for ant in ants}, good=[good_solar_altitude], suspect=[suspect_solar_altitude])

Classify antennas responsible for 0s in visibilities as bad:¶

This classifier looks for X-engine failure or packet loss specific to an antenna which causes either the even visibilities (or the odd ones, or both) to be 0s.

In [15]:
if USE_DIFF:
    zeros_class = ant_class.even_odd_zeros_checker(data, diff_data, good=good_zeros_per_eo_spectrum, suspect=suspect_zeros_per_eo_spectrum)
if np.all([zeros_class[utils.split_bl(bl)[0]] == 'bad' for bl in auto_bls]):
    ALL_FLAGGED = True
    print('All antennas are flagged for too many even/odd zeros.')

Examine and classify autocorrelation power and slope¶

These classifiers look for antennas with too high or low power or to steep a slope.

In [16]:
auto_power_class = ant_class.auto_power_checker(data, good=auto_power_good, suspect=auto_power_suspect)
auto_slope_class = ant_class.auto_slope_checker(data, good=auto_slope_good, suspect=auto_slope_suspect, edge_cut=100, filt_size=17)
if np.all([(auto_power_class + auto_slope_class)[utils.split_bl(bl)[0]] == 'bad' for bl in auto_bls]):
    ALL_FLAGGED = True
    print('All antennas are flagged for bad autocorrelation power/slope.')
overall_class = auto_power_class + auto_slope_class + zeros_class + ant_metrics_class + solar_class

Find starting set of array flags¶

In [17]:
if not all_flagged():
    antenna_flags, array_flags = xrfi.flag_autos(data, flag_method="channel_diff_flagger", nsig=RFI_NSIG * 5, 
                                                 antenna_class=overall_class, flag_broadcast_thresh=.5)
    for key in antenna_flags:
        antenna_flags[key] = array_flags
    cache = {}
    _, array_flags = xrfi.flag_autos(data, freqs=data.freqs, flag_method="dpss_flagger",
                                     nsig=RFI_NSIG, antenna_class=overall_class,
                                     filter_centers=[0], filter_half_widths=[RFI_DPSS_HALFWIDTH],
                                     eigenval_cutoff=[1e-9], flags=antenna_flags, mode='dpss_matrix', 
                                     cache=cache, flag_broadcast_thresh=.5)

Classify antennas based on non-noiselike diffs¶

In [18]:
if not all_flagged():
    if USE_DIFF:
        xengine_diff_class = ant_class.non_noiselike_diff_by_xengine_checker(data, diff_data, flag_waterfall=array_flags, 
                                                                             antenna_class=overall_class, 
                                                                             xengine_chans=96, bad_xengine_zcut=bad_xengine_zcut)
        
        if np.all([overall_class[utils.split_bl(bl)[0]] == 'bad' for bl in auto_bls]):
            ALL_FLAGGED = True
            print('All antennas are flagged after flagging non-noiselike diffs.')
    overall_class += xengine_diff_class

Examine and classify autocorrelation excess RFI and shape, finding consensus RFI mask along the way¶

This classifier iteratively identifies antennas for excess RFI (characterized by RMS of DPSS-filtered autocorrelations after RFI flagging) and bad shape, as determined by a discrepancy with the mean good normalized autocorrelation's shape. Along the way, it iteratively discovers a conensus array-wide RFI mask.

In [19]:
def auto_bl_zscores(data, flag_array, cache={}):
    '''This function computes z-score arrays for each delay-filtered autocorrelation, normalized by the expected noise. 
    Flagged times/channels for the whole array are given 0 weight in filtering and are np.nan in the z-score.'''
    zscores = {}
    for bl in auto_bls:
        wgts = np.array(np.logical_not(flag_array), dtype=np.float64)
        model, _, _ = dspec.fourier_filter(hd.freqs, data[bl], wgts, filter_centers=[0], filter_half_widths=[RFI_DPSS_HALFWIDTH], mode='dpss_solve',
                                            suppression_factors=[1e-9], eigenval_cutoff=[1e-9], cache=cache)
        res = data[bl] - model
        int_time = 24 * 3600 * np.median(np.diff(data.times))
        chan_res = np.median(np.diff(data.freqs))
        int_count = int(int_time * chan_res)
        sigma = np.abs(model) / np.sqrt(int_count / 2)
        zscores[bl] = res / sigma    
        zscores[bl][flag_array] = np.nan

    return zscores
In [20]:
def rfi_from_avg_autos(data, auto_bls_to_use, prior_flags=None, nsig=RFI_NSIG):
    '''Average together all baselines in auto_bls_to_use, then find an RFI mask by looking for outliers after DPSS filtering.'''
    
    # If there are no good autos, return 100% flagged
    if len(auto_bls_to_use) == 0:
        return np.ones(data[next(iter(data))].shape, dtype=bool)
    
    # Compute int_count for all unflagged autocorrelations averaged together
    int_time = 24 * 3600 * np.median(np.diff(data.times_by_bl[auto_bls[0][0:2]]))
    chan_res = np.median(np.diff(data.freqs))
    int_count = int(int_time * chan_res) * len(auto_bls_to_use)
    avg_auto = {(-1, -1, 'ee'): np.mean([data[bl] for bl in auto_bls_to_use], axis=0)}
    
    # Flag RFI first with channel differences and then with DPSS
    antenna_flags, _ = xrfi.flag_autos(avg_auto, int_count=int_count, nsig=(nsig * 5))
    if prior_flags is not None:
        antenna_flags[(-1, -1, 'ee')] = prior_flags
    _, rfi_flags = xrfi.flag_autos(avg_auto, int_count=int_count, flag_method='dpss_flagger',
                                   flags=antenna_flags, freqs=data.freqs, filter_centers=[0],
                                   filter_half_widths=[RFI_DPSS_HALFWIDTH], eigenval_cutoff=[1e-9], nsig=nsig)

    return rfi_flags
In [21]:
# Iteratively develop RFI mask, excess RFI classification, and autocorrelation shape classification
if not all_flagged():
    stage = 1
    rfi_flags = np.array(array_flags)
    prior_end_states = set()
    while True:
        # compute DPSS-filtered z-scores with current array-wide RFI mask
        zscores = auto_bl_zscores(data, rfi_flags)
        rms = {bl: np.nanmean(zscores[bl]**2)**.5 if np.any(np.isfinite(zscores[bl])) else np.inf for bl in zscores}
        
        # figure out which autos to use for finding new set of flags
        candidate_autos = [bl for bl in auto_bls if overall_class[utils.split_bl(bl)[0]] != 'bad']
        if stage == 1:
            # use best half of the unflagged antennas
            med_rms = np.nanmedian([rms[bl] for bl in candidate_autos])
            autos_to_use = [bl for bl in candidate_autos if rms[bl] <= med_rms]
        elif stage == 2:
            # use all unflagged antennas which are auto RFI good, or the best half, whichever is larger
            med_rms = np.nanmedian([rms[bl] for bl in candidate_autos])
            best_half_autos = [bl for bl in candidate_autos if rms[bl] <= med_rms]
            good_autos = [bl for bl in candidate_autos if (overall_class[utils.split_bl(bl)[0]] != 'bad')
                          and (auto_rfi_class[utils.split_bl(bl)[0]] == 'good')]
            autos_to_use = (best_half_autos if len(best_half_autos) > len(good_autos) else good_autos)
        elif stage == 3:
            # use all unflagged antennas which are auto RFI good or suspect
            autos_to_use = [bl for bl in candidate_autos if (overall_class[utils.split_bl(bl)[0]] != 'bad')]
    
        # compute new RFI flags
        rfi_flags = rfi_from_avg_autos(data, autos_to_use)
    
        # perform auto shape and RFI classification
        overall_class = auto_power_class + auto_slope_class + zeros_class + ant_metrics_class + solar_class + xengine_diff_class
        auto_rfi_class = ant_class.antenna_bounds_checker(rms, good=auto_rfi_good, suspect=auto_rfi_suspect, bad=(0, np.inf))
        overall_class += auto_rfi_class
        auto_shape_class = ant_class.auto_shape_checker(data, good=auto_shape_good, suspect=auto_shape_suspect,
                                                        flag_spectrum=np.sum(rfi_flags, axis=0).astype(bool), 
                                                        antenna_class=overall_class)
        overall_class += auto_shape_class
        
        # check for convergence by seeing whether we've previously gotten to this number of flagged antennas and channels
        if stage == 3:
            if (len(overall_class.bad_ants), np.sum(rfi_flags)) in prior_end_states:
                break
            prior_end_states.add((len(overall_class.bad_ants), np.sum(rfi_flags)))
        else:
            stage += 1
In [22]:
auto_class = auto_power_class + auto_slope_class
if auto_rfi_class is not None:
    auto_class += auto_rfi_class
if auto_shape_class is not None:
    auto_class += auto_rfi_class
if np.all([overall_class[utils.split_bl(bl)[0]] == 'bad' for bl in auto_bls]):
    ALL_FLAGGED = True
    print('All antennas are flagged after flagging for bad autos power/slope/rfi/shape.')
All antennas are flagged after flagging for bad autos power/slope/rfi/shape.
In [23]:
if not all_flagged():
    def rfi_plot(cls, flags=rfi_flags):
        avg_auto = {(-1, -1, 'ee'): np.mean([data[bl] for bl in auto_bls if not cls[utils.split_bl(bl)[0]] == 'bad'], axis=0)}
        plt.figure(figsize=(12, 5), dpi=100)
        plt.semilogy(hd.freqs / 1e6, np.where(flags, np.nan, avg_auto[(-1, -1, 'ee')])[0], label = 'Average Good or Suspect Autocorrelation', zorder=100)
        plt.semilogy(hd.freqs / 1e6, np.where(False, np.nan, avg_auto[(-1, -1, 'ee')])[0], 'r', lw=.5, label=f'{np.sum(flags[0])} Channels Flagged for RFI')
        plt.legend()
        plt.xlabel('Frequency (MHz)')
        plt.ylabel('Uncalibrated Autocorrelation')
        plt.tight_layout()
All antennas are flagged, so this cell is being skipped.

Figure 1: RFI Flagging¶

This figure shows RFI identified using the average of all autocorrelations---excluding bad antennas---for the first integration in the file.

In [24]:
if PLOT and not all_flagged(): rfi_plot(overall_class)
All antennas are flagged, so this cell is being skipped.
In [25]:
def autocorr_plot(cls):    
    fig, axes = plt.subplots(1, 2, figsize=(14, 5), dpi=100, sharey=True, gridspec_kw={'wspace': 0})
    labels = []
    colors = ['darkgreen', 'goldenrod', 'maroon']
    for ax, pol in zip(axes, antpols):
        for ant in cls.ants:
            if ant[1] == pol:
                color = colors[cls.quality_classes.index(cls[ant])]
                ax.semilogy(np.mean(data[utils.join_bl(ant, ant)], axis=0), color=color, lw=.5)
        ax.set_xlabel('Channel', fontsize=12)
        ax.set_title(f'{utils.join_pol(pol, pol)}-Polarized Autos')

    axes[0].set_ylabel('Raw Autocorrelation', fontsize=12)
    axes[1].legend([matplotlib.lines.Line2D([0], [0], color=color) for color in colors], 
                   [cl.capitalize() for cl in cls.quality_classes], ncol=1, fontsize=12, loc='upper right', framealpha=1)
    plt.tight_layout()

Figure 2: Plot of autocorrelations with classifications¶

This figure shows a plot of all autocorrelations in the array, split by polarization. Antennas are classified based on their autocorrelations into good, suspect, and bad, by examining power, slope, and RFI-occupancy.

In [26]:
if PLOT and not all_flagged(): autocorr_plot(auto_class)
All antennas are flagged, so this cell is being skipped.

Summarize antenna classification prior to redundant-baseline calibration¶

In [27]:
def array_class_plot(cls, extra_label=""):
    outriggers = [ant for ant in hd.data_ants if ant >= 320]

    if len(outriggers) > 0:
        fig, axes = plt.subplots(1, 2, figsize=(14, 6), dpi=100, gridspec_kw={'width_ratios': [2, 1]})
        plot_antclass(hd.antpos, cls, ax=axes[0], ants=[ant for ant in hd.data_ants if ant < 320], legend=False, title=f'HERA Core{extra_label}')
        plot_antclass(hd.antpos, cls, ax=axes[1], ants=outriggers, radius=50, title='Outriggers')
    else:
        fig, axes = plt.subplots(1, 1, figsize=(9, 6), dpi=100)
        plot_antclass(hd.antpos, cls, ax=axes, ants=[ant for ant in hd.data_ants if ant < 320], legend=False, title=f'HERA Core{extra_label}')

Figure 3: Summary of antenna classifications prior to calibration¶

This figure shows the location and classification of all antennas prior to calibration. Antennas are split along the diagonal, with ee-polarized antpols represented by the southeast half of each antenna and nn-polarized antpols represented by the northwest half. Outriggers are split from the core and shown at exaggerated size in the right-hand panel. This classification includes ant_metrics, a count of the zeros in the even or odd visibilities, and autocorrelation power, slope, and RFI occupancy. An antenna classified as bad in any classification will be considered bad. An antenna marked as suspect any in any classification will be considered suspect unless it is also classified as bad elsewhere.

In [28]:
if PLOT and not all_flagged(): array_class_plot(overall_class)
All antennas are flagged, so this cell is being skipped.
In [29]:
# delete diffs to save memory
if USE_DIFF:
    del diff_data, hd_diff
try:
    del cache
except NameError:
    pass
malloc_trim()

Perform redundant-baseline calibration¶

In [30]:
def classify_off_grid(reds, all_ants):
    '''Returns AntennaClassification of all_ants where good ants are in reds while bad ants are not.'''
    ants_in_reds = set([ant for red in reds for bl in red for ant in utils.split_bl(bl)])
    on_grid = [ant for ant in all_ants if ant in ants_in_reds]
    off_grid = [ant for ant in all_ants if ant not in ants_in_reds]
    return ant_class.AntennaClassification(good=on_grid, bad=off_grid)
In [31]:
def per_pol_filter_reds(reds, pols=['nn', 'ee'], **kwargs):
    '''Performs redcal filtering separately on polarizations (which might have different min_dim_size issues).'''
    return [red for pol in pols for red in redcal.filter_reds(copy.deepcopy(reds), pols=[pol], **kwargs)]
In [32]:
def check_if_whole_pol_flagged(redcal_class, pols=['Jee', 'Jnn'], thresh=.75):
    '''Checks if nearly an entire polarization is flagged (depending on thresh). 
    If it is, returns True and marks all antennas as bad in redcal_class.'''
    flag_fracs = np.array([np.mean([redcal_class[ant] == 'bad' for ant in redcal_class.ants if ant[1] == pol]) for pol in pols])
    if np.any(flag_fracs > thresh):
        for pol, frac in zip(pols, flag_fracs):
            if frac > thresh:
                print(f'Polarization {pol} is {frac:.3%} flagged > {thresh:.3%} threshold. Stopping redcal.')
        for ant in redcal_class:
            redcal_class[ant] = 'bad'
        return True
    return False
In [33]:
def recheck_chisq(cspa, sol, cutoff, avg_alg):
    '''Recompute chisq per ant without apparently bad antennas to see if any antennas get better.'''
    avg_cspa = {ant: avg_alg(np.where(rfi_flags, np.nan, cspa[ant])) for ant in cspa}
    sol2 = redcal.RedSol(sol.reds, gains={ant: sol[ant] for ant in avg_cspa if avg_cspa[ant] <= cutoff}, vis=sol.vis)
    new_chisq_per_ant = {ant: np.array(cspa[ant]) for ant in sol2.gains}
    if len(set([bl[2] for red in per_pol_filter_reds(sol2.reds, ants=sol2.gains.keys(), antpos=hd.data_antpos, **fr_settings) for bl in red])) >= 2:
        redcal.expand_omni_gains(sol2, sol2.reds, data, chisq_per_ant=new_chisq_per_ant)
    for ant in avg_cspa:
        if ant in new_chisq_per_ant:
            if np.any(np.isfinite(new_chisq_per_ant[ant])):
                if not np.all(np.isclose(new_chisq_per_ant[ant], 0)):
                    new_avg_cspa = avg_alg(np.where(rfi_flags, np.nan, cspa[ant]))
                    if new_avg_cspa > 0:
                        avg_cspa[ant] = np.min([avg_cspa[ant], new_avg_cspa])
    return avg_cspa

Perform iterative redcal¶

In [34]:
# figure out and filter reds and classify antennas based on whether or not they are on the main grid
if not all_flagged():
    fr_settings = {'max_dims': OC_MAX_DIMS, 'min_dim_size': OC_MIN_DIM_SIZE, 'min_bl_cut': OC_MIN_BL_LEN, 'max_bl_cut': OC_MAX_BL_LEN}
    reds = redcal.get_reds(hd.data_antpos, pols=['ee', 'nn'], pol_mode='2pol', bl_error_tol=2.0)
    reds = per_pol_filter_reds(reds, ex_ants=overall_class.bad_ants, antpos=hd.data_antpos, **fr_settings)
    if OC_SKIP_OUTRIGGERS:
        reds = redcal.filter_reds(reds, ex_ants=[ant for ant in ants if ant[0] >= 320])
    redcal_class = classify_off_grid(reds, ants)
All antennas are flagged, so this cell is being skipped.
In [35]:
if OC_USE_PRIOR_SOL and not all_flagged():
    # Find closest omnical file
    omnical_files = sorted(glob.glob('.'.join(OMNICAL_FILE.split('.')[:-5]) + '.*.' + '.'.join(OMNICAL_FILE.split('.')[-3:])))
    if len(omnical_files) == 0:
        OC_USE_PRIOR_SOL = False
    else:
        omnical_jds = np.array([float(re.findall("\d+\.\d+", ocf)[-1]) for ocf in omnical_files])
        closest_omnical = omnical_files[np.argmin(np.abs(omnical_jds - data.times[0]))]

        # Load closest omnical file and use it if the antenna flagging is not too dissimilar
        hc = io.HERACal(closest_omnical)
        prior_gains, prior_flags, _, _ = hc.read()
        not_bad_not_prior_flagged = [ant for ant in overall_class if not ant in redcal_class.bad_ants and not np.all(prior_flags[ant])]
        if (len(redcal_class.bad_ants) == len(redcal_class.ants)):
            OC_USE_PRIOR_SOL = False  # all antennas flagged
        elif (len(not_bad_not_prior_flagged) / (len(redcal_class.ants) - len(redcal_class.bad_ants))) < OC_PRIOR_SOL_FLAG_THRESH:
            OC_USE_PRIOR_SOL = False  # too many antennas unflaged that were flagged in the prior sol
        else:
            print(f'Using {closest_omnical} as a starting point for redcal.')
All antennas are flagged, so this cell is being skipped.
In [36]:
if not all_flagged():
    redcal_start = time.time()
    rc_settings = {'oc_conv_crit': 1e-10, 'gain': 0.4, 'run_logcal': False,
                   'oc_maxiter': OC_MAXITER, 'check_after': OC_MAXITER, 'use_gpu': OC_USE_GPU}
    
    if check_if_whole_pol_flagged(redcal_class):
        # skip redcal, initialize empty sol and meta 
        sol = redcal.RedSol(reds)
        meta = {'chisq': None, 'chisq_per_ant': None}
    else:    
        if OC_USE_PRIOR_SOL:
            # use prior unflagged gains and data to create starting point for next step
            sol = redcal.RedSol(reds=reds, gains={ant: prior_gains[ant] for ant in not_bad_not_prior_flagged})
            reds_to_update = [[bl for bl in red if (utils.split_bl(bl)[0] in sol.gains) and (utils.split_bl(bl)[1] in sol.gains)] for red in reds]
            reds_to_update = [red for red in reds_to_update if len(red) > 0]
            sol.update_vis_from_data(data, reds_to_update=reds_to_update)
            redcal.expand_omni_gains(sol, reds, data)
            sol.update_vis_from_data(data)
        else:
            sol = None
            
        malloc_trim()
All antennas are flagged, so this cell is being skipped.
In [37]:
if not all_flagged():
    all_high_chisq_found = False
    metric = 'median'
    
    # iteratively rerun redundant calibration
    for i in range(OC_MAX_RERUN + 1):
        # refilter reds and update classification to reflect new off-grid ants, if any
        reds = per_pol_filter_reds(reds, ex_ants=(overall_class + redcal_class).bad_ants, antpos=hd.data_antpos, **fr_settings)
        reds = sorted(reds, key=len, reverse=True)
        redcal_class = classify_off_grid(reds, ants)
        
        # check to see whether we're done because an entire pol is flagged
        if check_if_whole_pol_flagged(redcal_class):
            break
    
        # change settings for final run
        if all_high_chisq_found or (i == OC_MAX_RERUN):
            sol = None  # start from scratch
            rc_settings['oc_maxiter'] = rc_settings['check_after'] = OC_RERUN_MAXITER
        
        # optionally redo firstcal and start from there every iteration
        if OC_RESTART_FROM_FC_EVERY_ITER:
            sol = None

        # re-run redundant calibration using previous solution (if it's not the final run and if not OC_RESTART_FROM_FC_EVERY_ITER)
        meta, sol = redcal.redundantly_calibrate(data, reds, sol0=sol, max_dims=None, **rc_settings)
        malloc_trim()
        
        # recompute chi^2 for bad antennas without bad antennas to make sure they are actually bad
        avg_cspa = recheck_chisq(meta['chisq_per_ant'], sol, oc_cspa_suspect[1], (np.nanmean if metric == 'mean' else np.nanmedian))

        # flag bad antennas
        cspa_class = ant_class.antenna_bounds_checker(avg_cspa, good=oc_cspa_good, suspect=oc_cspa_suspect, bad=[(-np.inf, np.inf)])
        for ant in cspa_class.bad_ants:
            if avg_cspa[ant] < np.max(list(avg_cspa.values())) / OC_MAX_CHISQ_FLAGGING_DYNAMIC_RANGE:
                cspa_class[ant] = 'suspect'  # reclassify as suspect if they are much better than the worst antennas
        redcal_class += cspa_class

        if len(cspa_class.bad_ants) > 0:
            print(f'Removing {cspa_class.bad_ants} for high {metric} unflagged chi^2.')
            for ant in cspa_class.bad_ants:
                print(f'\t{ant}: {avg_cspa[ant]:.3f}')
    
        if check_if_whole_pol_flagged(redcal_class) or all_high_chisq_found or (i == OC_MAX_RERUN):
            break

        if len(cspa_class.bad_ants) == 0:
            if metric == 'median':
                metric = 'mean'  # switch to mean if no new median offenders found
            else:
                all_high_chisq_found = True  # no new antennas to flag, the next iteration will be the final one
    
    print(f'Finished redcal in {(time.time() - redcal_start) / 60:.2f} minutes.')
    overall_class += redcal_class
All antennas are flagged, so this cell is being skipped.

Expand solution to include calibratable baselines excluded from redcal (e.g. because they were too long)¶

In [38]:
if not all_flagged():
    expanded_reds = redcal.get_reds(hd.data_antpos, pols=['ee', 'nn'], pol_mode='2pol', bl_error_tol=2.0)
    expanded_reds = per_pol_filter_reds(expanded_reds, ex_ants=(ant_metrics_class + solar_class + zeros_class + auto_class + xengine_diff_class).bad_ants,
                                        max_dims=OC_MAX_DIMS, min_dim_size=OC_MIN_DIM_SIZE)
    if OC_SKIP_OUTRIGGERS:
        expanded_reds = redcal.filter_reds(expanded_reds, ex_ants=[ant for ant in ants if ant[0] >= 320])
    if len(sol.gains) > 0:
        redcal.expand_omni_vis(sol, expanded_reds, data, chisq=meta['chisq'], chisq_per_ant=meta['chisq_per_ant'])
All antennas are flagged, so this cell is being skipped.
In [39]:
if not all_flagged():
    # now figure out flags, nsamples etc.
    omni_flags = {ant: (~np.isfinite(g)) | (ant in overall_class.bad_ants) for ant, g in sol.gains.items()}
    vissol_flags = datacontainer.RedDataContainer({bl: ~np.isfinite(v) for bl, v in sol.vis.items()}, reds=sol.vis.reds)
    single_nsamples_array = np.ones((len(hd.times), len(hd.freqs)), dtype=float)
    nsamples = datacontainer.DataContainer({bl: single_nsamples_array for bl in data})
    vissol_nsamples = redcal.count_redundant_nsamples(nsamples, [red for red in expanded_reds if red[0] in vissol_flags], 
                                                      good_ants=[ant for ant in overall_class if ant not in overall_class.bad_ants])
    for bl in vissol_flags:
        vissol_flags[bl][vissol_nsamples[bl] == 0] = True
    sol.make_sol_finite()
All antennas are flagged, so this cell is being skipped.

Fix the firstcal delay slope degeneracy using RFI transmitters¶

In [40]:
if not OC_USE_PRIOR_SOL and not all_flagged():
    # find channels clearly contaminated by RFI
    not_bad_ants = [ant for ant in overall_class.ants if (overall_class[ant] != 'bad') and (utils.join_bl(ant, ant) in data)]
    if len(not_bad_ants) > 0:
        chan_flags = np.mean([xrfi.detrend_medfilt(data[utils.join_bl(ant, ant)], Kf=8, Kt=2) for ant in not_bad_ants], axis=(0, 1)) > 5

        # hardcoded RFI transmitters and their headings
        # channel: frequency (Hz), heading (rad), chi^2
        phs_sol = {359: ( 90744018.5546875, 0.7853981, 23.3),
                   360: ( 90866088.8671875, 0.7853981, 10.8),
                   385: ( 93917846.6796875, 0.7853981, 27.3),
                   386: ( 94039916.9921875, 0.7853981, 18.1),
                   400: ( 95748901.3671875, 6.0632738, 24.0),
                   441: (100753784.1796875, 0.7853981, 21.7),
                   442: (100875854.4921875, 0.7853981, 19.4),
                   455: (102462768.5546875, 6.0632738, 18.8),
                   456: (102584838.8671875, 6.0632738,  8.8),
                   471: (104415893.5546875, 0.7853981, 13.3),
                   484: (106002807.6171875, 6.0632738, 21.2),
                   485: (106124877.9296875, 6.0632738,  4.0),
                  1181: (191085815.4296875, 0.7853981, 26.3),
                  1182: (191207885.7421875, 0.7853981, 27.0),
                  1183: (191329956.0546875, 0.7853981, 25.6),
                  1448: (223678588.8671875, 2.6075219, 25.7),
                  1449: (223800659.1796875, 2.6075219, 22.6),
                  1450: (223922729.4921875, 2.6075219, 11.6),
                  1451: (224044799.8046875, 2.6075219,  5.9),
                  1452: (224166870.1171875, 2.6075219, 22.6),
                  1510: (231246948.2421875, 0.1068141, 23.9)}

        if not np.isclose(hd.freqs[0], 46920776.3671875, atol=0.001) or len(hd.freqs) != 1536:
            # We have less frequencies than usual (maybe testing)
            phs_sol = {np.argmin(np.abs(hd.freqs - freq)): (freq, heading, chisq) for chan, (freq, heading, chisq) in phs_sol.items() if hd.freqs[0] <= freq <= hd.freqs[-1]}


        rfi_chans = [chan for chan in phs_sol if chan_flags[chan]]
        if len(rfi_chans) >= 2:
            print('Channels used for delay-slope calibration with RFI:', rfi_chans)
            rfi_angles = np.array([phs_sol[chan][1] for chan in rfi_chans])
            rfi_headings = np.array([np.cos(rfi_angles), np.sin(rfi_angles), np.zeros_like(rfi_angles)])
            rfi_chisqs = np.array([phs_sol[chan][2] for chan in rfi_chans])

            # resolve firstcal degeneracy with delay slopes set by RFI transmitters, update cal
            max_dly = np.max(np.abs(list(meta['fc_meta']['dlys'].values())))
            RFI_dly_slope_gains = abscal.RFI_delay_slope_cal([red for red in expanded_reds if red[0] in sol.vis], hd.antpos, sol.vis, hd.freqs, rfi_chans, rfi_headings, rfi_wgts=rfi_chisqs**-1,
                                                             min_tau=-max_dly, max_tau=max_dly, delta_tau=0.1e-9, return_gains=True, gain_ants=sol.gains.keys())
            sol.gains = {ant: g * RFI_dly_slope_gains[ant] for ant, g in sol.gains.items()}
            apply_cal.calibrate_in_place(sol.vis, RFI_dly_slope_gains)
            malloc_trim()
        else:
            print(f"Only {len(rfi_chans)} RFI channels with known headings were flagged for RFI, so RFI-firstcal is being skipped.")

Perform absolute amplitude calibration using a model of autocorrelations¶

In [41]:
# Load simulated and then downsampled model of autocorrelations that includes receiver noise, then interpolate to upsample
if VALIDATION:
    hd_auto_model = io.HERAData('/lustre/aoc/projects/hera/Validation/H6C_IDR2/sim_data/h6c_validation_autos_for_amp_abscal_with_Trx_100K.uvh5')
else:
    hd_auto_model = io.HERAData(f'{HNBT_DATA}/SSM_autocorrelations_downsampled_sum_pol_convention.uvh5')
if not all_flagged():
    model, _, _ = hd_auto_model.read()
    per_pol_interpolated_model = {}
    for bl in model:
        sorted_lsts, lst_indices = np.unique(model.lsts, return_index=True)
        periodic_model = np.vstack([model[bl][lst_indices, :], model[bl][lst_indices[0], :]])
        periodic_lsts = np.append(sorted_lsts, sorted_lsts[0] + 2 * np.pi)
        lst_interpolated = interpolate.CubicSpline(periodic_lsts, periodic_model, axis=0, bc_type='periodic')(data.lsts)
        per_pol_interpolated_model[bl[2]] = interpolate.CubicSpline(model.freqs, lst_interpolated, axis=1)(data.freqs)
    model = {bl: per_pol_interpolated_model[bl[2]] for bl in auto_bls if utils.split_bl(bl)[0] not in overall_class.bad_ants}
All antennas are flagged, so this cell is being skipped.
In [42]:
if not all_flagged():
    # Run abscal and update omnical gains with abscal gains
    if len(model) > 0:
        redcaled_autos = {bl: sol.calibrate_bl(bl, data[bl]) for bl in auto_bls if utils.split_bl(bl)[0] not in overall_class.bad_ants}
        g_abscal = abscal.abs_amp_logcal(model, redcaled_autos, verbose=False, return_gains=True, gain_ants=sol.gains)
        sol.gains = {ant: g * g_abscal[ant] for ant, g in sol.gains.items()}
        apply_cal.calibrate_in_place(sol.vis, g_abscal)
        del redcaled_autos, g_abscal
All antennas are flagged, so this cell is being skipped.

Full absolute calibration of phase gradients¶

If an ABSCAL_MODEL_FILES_GLOB is provided, try to perform a full absolute calibration of tip-tilt phase gradients across the array using that those model files. Specifically, this step calibrates omnical visbility solutions using unique baselines simulated with a model of the sky and HERA's beam.

In [43]:
if not all_flagged():
    if ABSCAL_MODEL_FILES_GLOB is not None:
        abscal_model_files = sorted(glob.glob(ABSCAL_MODEL_FILES_GLOB))
    elif VALIDATION:
        abscal_model_files = sorted(glob.glob('/lustre/aoc/projects/hera/Validation/H6C_IDR2/sim_data/foregrounds/zen.LST.*.foregrounds.uvh5'))
    else:
        # try to find files on site
        abscal_model_files = sorted(glob.glob('/mnt/sn1/data1/abscal_models/H6C/zen.2458894.?????.uvh5'))
        if len(abscal_model_files) == 0:
            # try to find files at NRAO
            abscal_model_files = sorted(glob.glob('/lustre/aoc/projects/hera/h6c-analysis/abscal_models/h6c_abscal_files_unique_baselines/zen.2458894.?????.uvh5'))
    print(f'Found {len(abscal_model_files)} abscal model files{" in " + os.path.dirname(abscal_model_files[0]) if len(abscal_model_files) > 0 else ""}.')
All antennas are flagged, so this cell is being skipped.
In [44]:
if not all_flagged():
    # Try to perform a full abscal of phase
    if len(abscal_model_files) == 0:
        DO_FULL_ABSCAL = False
        print('No model files found... not performing full absolute calibration of phase gradients.')
    elif np.all([ant in overall_class.bad_ants for ant in ants]):
        DO_FULL_ABSCAL = False
        print('All antennas classified as bad... skipping absolute calibration of phase gradients.')
    else:
        abscal_start = time.time()
        # figure out which model files match the LSTs of the data
        matched_model_files = sorted(set(abscal.match_times(SUM_FILE, abscal_model_files, filetype='uvh5')))
        if len(matched_model_files) == 0:
            DO_FULL_ABSCAL = False
            print(f'No model files found matching the LSTs of this file after searching for {(time.time() - abscal_start) / 60:.2f} minutes. '
                  'Not performing full absolute calibration of phase gradients.')
        else:
            DO_FULL_ABSCAL = True
            # figure out appropriate model times to load
            hdm = io.HERAData(matched_model_files)
            all_model_times, all_model_lsts = abscal.get_all_times_and_lsts(hdm, unwrap=True)
            d2m_time_map = abscal.get_d2m_time_map(data.times, np.unwrap(data.lsts), all_model_times, all_model_lsts, extrap_limit=.5)
All antennas are flagged, so this cell is being skipped.
In [45]:
if not all_flagged():
    if DO_FULL_ABSCAL:
        abscal_meta = {}
        for pol in ['ee', 'nn']:
            print(f'Performing absolute phase gradient calibration of {pol}-polarized visibility solutions...')
            
            # load matching times and baselines
            unflagged_data_bls = [bl for bl in vissol_flags if not np.all(vissol_flags[bl]) and bl[2] == pol]
            model_bls = copy.deepcopy(hdm.bls)
            model_antpos = hdm.data_antpos
            if len(matched_model_files) > 1:  # in this case, it's a dictionary
                model_bls = list(set([bl for bls in list(hdm.bls.values()) for bl in bls]))
                model_antpos = {ant: pos for antpos in hdm.data_antpos.values() for ant, pos in antpos.items()}
            data_bls, model_bls, data_to_model_bl_map = abscal.match_baselines(unflagged_data_bls, model_bls, data.antpos, model_antpos=model_antpos, 
                                                                             pols=[pol], data_is_redsol=True, model_is_redundant=True, tol=1.0,
                                                                             min_bl_cut=ABSCAL_MIN_BL_LEN, max_bl_cut=ABSCAL_MAX_BL_LEN, verbose=True)
            model, model_flags, _ = io.partial_time_io(hdm, np.unique([d2m_time_map[time] for time in data.times]), bls=model_bls)
            model_bls = [data_to_model_bl_map[bl] for bl in data_bls]
            
            # rephase model to match in lsts
            model_blvecs = {bl: model.antpos[bl[0]] - model.antpos[bl[1]] for bl in model.keys()}
            utils.lst_rephase(model, model_blvecs, model.freqs, data.lsts - model.lsts,
                              lat=hdm.telescope.location.lat.deg, inplace=True)
    
            # run abscal and apply 
            abscal_meta[pol], delta_gains = abscal.complex_phase_abscal(sol.vis, model, sol.reds, data_bls, model_bls)
            
            # apply gains
            sol.gains = {antpol : g * delta_gains.get(antpol, 1) for antpol, g in sol.gains.items()}
            apply_cal.calibrate_in_place(sol.vis, delta_gains)            
         
        del model, model_flags, delta_gains
        malloc_trim()    
        
        print(f'Finished absolute calibration of tip-tilt phase slopes in {(time.time() - abscal_start) / 60:.2f} minutes.')
All antennas are flagged, so this cell is being skipped.
In [46]:
if not all_flagged() and DO_FULL_ABSCAL and CALIBRATE_CROSS_POLS:
    cross_pol_cal_start = time.time()

    # Compute reds for good antennas 
    cross_reds = redcal.get_reds(hd.data_antpos, pols=['en', 'ne'], bl_error_tol=2.0)        
    cross_reds = redcal.filter_reds(cross_reds, ex_ants=overall_class.bad_ants, pols=['en', 'ne'], antpos=hd.antpos, **fr_settings)    
    unflagged_data_bls = [red[0] for red in cross_reds]

    # Get cross-polarized model visibilities
    model_bls = copy.deepcopy(hdm.bls)
    model_antpos = hdm.data_antpos
    if len(matched_model_files) > 1:  # in this case, it's a dictionary
        model_bls = list(set([bl for bls in list(hdm.bls.values()) for bl in bls]))
        model_antpos = {ant: pos for antpos in hdm.data_antpos.values() for ant, pos in antpos.items()}

    data_bls, model_bls, data_to_model_bl_map = abscal.match_baselines(unflagged_data_bls, model_bls, data.antpos, model_antpos=model_antpos, 
                                                                     pols=['en', 'ne'], data_is_redsol=False, model_is_redundant=True, tol=1.0,
                                                                     min_bl_cut=ABSCAL_MIN_BL_LEN, max_bl_cut=ABSCAL_MAX_BL_LEN, verbose=True)
    
    model, model_flags, _ = io.partial_time_io(hdm, np.unique([d2m_time_map[time] for time in data.times]), 
                                               bls=list(set([bl[0:2] for bl in model_bls])), polarizations=['en', 'ne'])
    model_bls = [data_to_model_bl_map[bl] for bl in data_bls]

    # rephase model to match in lsts
    model_blvecs = {bl: model.antpos[bl[0]] - model.antpos[bl[1]] for bl in model.keys()}
    utils.lst_rephase(model, model_blvecs, model.freqs, data.lsts - model.lsts, lat=hdm.telescope.location.lat.deg, inplace=True)

    wgts_here = {}
    data_here = {}
    
    for red in cross_reds:
        data_bl = red[0]
        if data_bl in data_to_model_bl_map:

            wgts_here[data_bl] = np.sum([
                np.logical_not(omni_flags[utils.split_bl(bl)[0]] | omni_flags[utils.split_bl(bl)[1]])
                for bl in red
            ], axis=0)
            data_here[data_bl] = np.nanmean([
                np.where(
                    omni_flags[utils.split_bl(bl)[0]] | omni_flags[utils.split_bl(bl)[1]],
                    np.nan, sol.calibrate_bl(bl, data[bl])
                ) 
                for bl in red
            ], axis=0)
    
    # Run cross-polarized phase calibration
    delta = abscal.cross_pol_phase_cal(
        model=model, data=data_here, wgts=wgts_here, data_bls=data_bls, model_bls=model_bls, return_gains=False, 
        refpol='Jee', gain_ants=sol.gains.keys()
    )
    delta_gains = {antpol: (np.ones_like(delta) if antpol[1] == 'Jee' else np.exp(1j * delta)) for antpol in sol.gains.keys()}
    
    # apply gains
    # \Delta = \phi_e - \phi_n, where V_{en}^{cal} = V_{en}^{uncal} * e^{i \Delta} 
    # and V_{ne}^{cal} = V_{ne}^{uncal} * e^{-i \Delta}
    sol.gains = {antpol: g * delta_gains[antpol] for antpol, g in sol.gains.items()}
    apply_cal.calibrate_in_place(sol.vis, delta_gains)
    del hdm, model, model_flags, delta_gains
    print(f'Finished relative polarized phase calibration in {(time.time() - cross_pol_cal_start) / 60:.2f} minutes.')
All antennas are flagged, so this cell is being skipped.

Plotting¶

In [47]:
def redundant_group_plot():
    if np.all([ant in overall_class.bad_ants for ant in ants]):
        print('All antennas classified as bad. Nothing to plot.')
        return
    
    fig, axes = plt.subplots(2, 2, figsize=(14, 6), dpi=100, sharex='col', sharey='row', gridspec_kw={'hspace': 0, 'wspace': 0})
    for i, pol in enumerate(['ee', 'nn']):
        reds_here = redcal.get_reds(hd.data_antpos, pols=[pol], pol_mode='1pol', bl_error_tol=2.0)
        red = sorted(redcal.filter_reds(reds_here, ex_ants=overall_class.bad_ants), key=len, reverse=True)[0]
        rc_data = {bl: sol.calibrate_bl(bl, data[bl]) for bl in red}
        for bl in red:
            axes[0, i].plot(hd.freqs/1e6, np.angle(rc_data[bl][0]), alpha=.5, lw=.5)
            axes[1, i].semilogy(hd.freqs/1e6, np.abs(rc_data[bl][0]), alpha=.5, lw=.5)
        axes[0, i].plot(hd.freqs / 1e6, np.angle(sol.vis[red[0]][0]), lw=1, c='k')
        axes[1, i].semilogy(hd.freqs / 1e6, np.abs(sol.vis[red[0]][0]), lw=1, c='k', label=f'Baseline Group:\n{(int(red[0][0]), int(red[0][1]), red[0][2])}')
        axes[1, i].set_xlabel('Frequency (MHz)')
        axes[1, i].legend(loc='upper right')
    axes[0, 0].set_ylabel('Visibility Phase (radians)')
    axes[1, 0].set_ylabel('Visibility Amplitude (Jy)')
    plt.tight_layout()
In [48]:
def abscal_degen_plot():
    if DO_FULL_ABSCAL:
        fig, axes = plt.subplots(3, 1, figsize=(14, 6), dpi=100, sharex=True, gridspec_kw={'hspace': .05})

        for ax, pol in zip(axes[:2], ['ee', 'nn']):
            for kk in range(abscal_meta[pol]['Lambda_sol'].shape[-1]):
                ax.plot(hd.freqs[~rfi_flags[0]] * 1e-6, abscal_meta[pol]['Lambda_sol'][0, ~rfi_flags[0], kk], '.', ms=1, label=f"Component {kk}")

            ax.set_ylim(-np.pi-0.5, np.pi+0.5)
            ax.set_xlabel('Frequency (MHz)')
            ax.set_ylabel('Phase Gradient\nVector Component')
            ax.legend(markerscale=20, title=f'{pol}-polarization', loc='lower right')
            ax.grid()
            
        for pol, color in zip(['ee', 'nn'], ['b', 'r']):
            axes[2].plot(hd.freqs[~rfi_flags[0]]*1e-6, abscal_meta[pol]['Z_sol'].real[0, ~rfi_flags[0]], '.', ms=1, label=pol, color=color)
        axes[2].set_ylim(-.25, 1.05)
        axes[2].set_ylabel('Re[Z($\\nu$)]')
        axes[2].legend(markerscale=20, loc='lower right')
        axes[2].grid()            
        plt.tight_layout()
In [49]:
def polarized_gain_phase_plot():
    if CALIBRATE_CROSS_POLS and DO_FULL_ABSCAL:
        plt.figure(figsize=(14, 4), dpi=100)
        for i, time in enumerate(data.times):
            plt.plot(data.freqs / 1e6, np.where(rfi_flags[i], np.nan, delta[i, :]), '.', ms=1.5, label=f'{time:.6f}')
        plt.ylim(-np.pi-0.5, np.pi+0.5)
        plt.xlabel('Frequency (MHz)')
        plt.ylabel('Relative Phase $\Delta \ (\phi_{ee} - \phi_{nn})$')
        plt.grid()
        plt.legend()

Figure 4: Redundant calibration of a single baseline group¶

The results of a redundant-baseline calibration of a single integration and a single group, the one with the highest redundancy in each polarization after antenna classification and excision based on the above, plus the removal of antennas with high chi^2 per antenna. The black line is the redundant visibility solution. Each thin colored line is a different baseline group. Phases are shown in the top row, amplitudes in the bottom, ee-polarized visibilities in the left column, and nn-polarized visibilities in the right.

In [50]:
if PLOT and not all_flagged(): redundant_group_plot()
All antennas are flagged, so this cell is being skipped.

Figure 5: Absolute calibration of redcal degeneracies¶

This figure shows the per-frequency phase gradient solutions across the array for both polarizations and all components of the degenerate subspace of redundant-baseline calibraton. While full HERA only has two such tip-tilt degeneracies, a subset of HERA can have up to OC_MAX_DIMS (depending on antenna flagging). In addition to the absolute amplitude, this is the full set of the calibration degrees of freedom not constrainted by redcal. This figure also includes a plot of $Re[Z(\nu)]$, the complex objective function which varies from -1 to 1 and indicates how well the data and the absolute calibration model have been made to agree. Perfect agreement is 1.0 and good agreement is anything above $\sim$0.5 Decorrelation yields values closer to 0, where anything below $\sim$0.3 is suspect.

In [51]:
if PLOT and not all_flagged(): abscal_degen_plot()
All antennas are flagged, so this cell is being skipped.

Figure 6: Relative Phase Calibration¶

This figure shows the relative phase calibration between the ee vs. nn polarizations.

In [52]:
if PLOT and not all_flagged(): polarized_gain_phase_plot()
All antennas are flagged, so this cell is being skipped.

Attempt to calibrate some flagged antennas¶

This attempts to calibrate bad antennas using information from good or suspect antennas without allowing bad antennas to affect their calibration. However, introducing 0s in gains or infs/nans in gains or visibilities can create problems down the line, so those are removed.

In [53]:
if not all_flagged():
    expand_start = time.time()
    expanded_reds = redcal.get_reds(hd.data_antpos, pols=['ee', 'nn'], pol_mode='2pol', bl_error_tol=2.0)
    sol.vis.build_red_keys(expanded_reds)
    redcal.expand_omni_gains(sol, expanded_reds, data, chisq_per_ant=meta['chisq_per_ant'])
    if not np.all([ant in overall_class.bad_ants for ant in ants]):
        redcal.expand_omni_vis(sol, expanded_reds, data)
    
    # Replace near-zeros in gains and infs/nans in gains/sols
    for ant in sol.gains:
        zeros_in_gains = np.isclose(sol.gains[ant], 0)
        if ant in omni_flags:
            omni_flags[ant][zeros_in_gains] = True
        sol.gains[ant][zeros_in_gains] = 1.0 + 0.0j
    sol.make_sol_finite()
    malloc_trim()
    print(f'Finished expanding gain solution in {(time.time() - expand_start) / 60:.2f} minutes.')
All antennas are flagged, so this cell is being skipped.
In [54]:
def array_chisq_plot(include_outriggers=True):
    if np.all([ant in overall_class.bad_ants for ant in ants]):
        print('All antennas classified as bad. Nothing to plot.')
        return    
    
    def _chisq_subplot(ants, size=250):
        fig, axes = plt.subplots(1, 2, figsize=(14, 5), dpi=100)
        for ax, pol in zip(axes, ['ee', 'nn']):
            ants_to_plot = set([ant for ant in meta['chisq_per_ant'] if utils.join_pol(ant[1], ant[1]) == pol and (ant[0] in ants)])
            cspas = np.array([np.nanmean(np.where(rfi_flags, np.nan, meta['chisq_per_ant'][ant])) for ant in ants_to_plot])
            xpos = [hd.antpos[ant[0]][0] for ant in ants_to_plot]
            ypos = [hd.antpos[ant[0]][1] for ant in ants_to_plot]
            scatter = ax.scatter(xpos, ypos, s=size, c=cspas, lw=.25, edgecolors=np.where(np.isfinite(cspas) & (cspas > 0), 'none', 'k'), 
                                 norm=matplotlib.colors.LogNorm(vmin=1, vmax=oc_cspa_suspect[1]))
            for ant in ants_to_plot:
                ax.text(hd.antpos[ant[0]][0], hd.antpos[ant[0]][1], ant[0], va='center', ha='center', fontsize=8,
                        c=('r' if ant in overall_class.bad_ants else 'w'))
            plt.colorbar(scatter, ax=ax, extend='both')
            ax.axis('equal')
            ax.set_xlabel('East-West Position (meters)')
            ax.set_ylabel('North-South Position (meters)')
            ax.set_title(f'{pol}-pol $\\chi^2$ / Antenna (Red is Flagged)')
        plt.tight_layout()    
    
    _chisq_subplot([ant for ant in hd.data_ants if ant < 320])
    outriggers = [ant for ant in hd.data_ants if ant >= 320]    
    if include_outriggers & (len(outriggers) > 0):
        _chisq_subplot([ant for ant in hd.data_ants if ant >= 320], size=400)

Figure 7: chi^2 per antenna across the array¶

This plot shows median (taken over time and frequency) of the normalized chi^2 per antenna. The expectation value for this quantity when the array is perfectly redundant is 1.0. Antennas that are classified as bad for any reason have their numbers shown in red. Some of those antennas were classified as bad during redundant calibration for high chi^2. Some of those antennas were originally excluded from redundant calibration because they were classified as bad earlier for some reason. See here for more details. Note that the color scale saturates at below 1 and above 10.

In [55]:
if PLOT and not all_flagged(): array_chisq_plot(include_outriggers=(not OC_SKIP_OUTRIGGERS))
All antennas are flagged, so this cell is being skipped.

Figure 8: Summary of antenna classifications after redundant calibration¶

This figure is the same as Figure 2, except that it now includes additional suspect or bad antennas based on redundant calibration. This can include antennas with high chi^2, but it can also include antennas classified as "bad" because they would add extra degeneracies to calibration.

In [56]:
if PLOT and not all_flagged(): array_class_plot(overall_class, extra_label=", Post-Redcal")
All antennas are flagged, so this cell is being skipped.
In [57]:
to_show = {'Antenna': [f'{ant[0]}{ant[1][-1]}' for ant in ants]}
classes = {'Antenna': [overall_class[ant] if ant in overall_class else '-' for ant in ants]}
to_show['Dead?'] = [{'good': 'No', 'bad': 'Yes'}[am_totally_dead[ant]] if (ant in am_totally_dead) else '' for ant in ants]
classes['Dead?'] = [am_totally_dead[ant] if (ant in am_totally_dead) else '' for ant in ants]
for title, ac in [('Low Correlation', am_corr),
                  ('Cross-Polarized', am_xpol),
                  ('Solar Alt', solar_class),
                  ('Even/Odd Zeros', zeros_class),
                  ('Autocorr Power', auto_power_class),
                  ('Autocorr Slope', auto_slope_class),
                  ('Auto RFI RMS', auto_rfi_class),
                  ('Autocorr Shape', auto_shape_class),
                  ('Bad Diff X-Engines', xengine_diff_class)]:
    to_show[title] = [f'{ac._data[ant]:.2G}' if (ac is not None and ant in ac._data) else '' for ant in ants]
    classes[title] = [ac[ant] if (ac is not None and ant in ac) else 'bad' for ant in ants]
    
to_show['Redcal chi^2'] = [f'{np.nanmean(np.where(rfi_flags, np.nan, meta["chisq_per_ant"][ant])):.3G}' \
                           if (meta is not None and meta['chisq_per_ant'] is not None and ant in meta['chisq_per_ant']) else '' for ant in ants]
classes['Redcal chi^2'] = [redcal_class[ant] if redcal_class is not None and ant in redcal_class else 'bad' for ant in ants]

df = pd.DataFrame(to_show)
df_classes = pd.DataFrame(classes)
colors = {'good': 'darkgreen', 'suspect': 'goldenrod', 'bad': 'maroon'}
df_colors = df_classes.applymap(lambda x: f'background-color: {colors.get(x, None)}')

table = df.style.hide() \
                .apply(lambda x: pd.DataFrame(df_colors.values, columns=x.columns), axis=None) \
                .set_properties(subset=['Antenna'], **{'font-weight': 'bold', 'border-right': "3pt solid black"}) \
                .set_properties(subset=df.columns[1:], **{'border-left': "1pt solid black"}) \
                .set_properties(**{'text-align': 'center', 'color': 'white'})

Table 1: Complete summary of per-antenna classifications¶

This table summarizes the results of the various classifications schemes detailed above. As before, green is good, yellow is suspect, and red is bad. The color for each antenna (first column) is the final summary of all other classifications. Antennas missing from redcal $\chi^2$ were excluded redundant-baseline calibration, either because they were flagged by ant_metrics or the even/odd zeros check, or because they would add unwanted extra degeneracies.

In [58]:
HTML(table.to_html())
Out[58]:
Antenna Dead? Low Correlation Cross-Polarized Solar Alt Even/Odd Zeros Autocorr Power Autocorr Slope Auto RFI RMS Autocorr Shape Bad Diff X-Engines Redcal chi^2
3e No 0.48 0.28 -51 0 14 0.11 INF INF 2
3n No 0.48 0.28 -51 0 17 -0.058 INF INF 2
4e No 0.3 0.11 -51 0 15 0.15 INF INF
4n No 0.3 0.11 -51 0 19 0.23 INF INF
5e No 0.51 0.28 -51 0 18 0.045 INF INF 2
5n No 0.51 0.28 -51 0 24 -0.086 INF INF 2
7e No 0.51 0.29 -51 0 24 0.087 INF INF 2
7n No 0.53 0.29 -51 0 24 -0.068 INF INF 2
8e No 0.51 0.28 -51 96 26 0.093 INF INF
8n No 0.52 0.28 -51 96 13 -0.023 INF INF
9e No 0.51 0.29 -51 96 19 0.13 INF INF
9n No 0.52 0.29 -51 96 21 -0.03 INF INF
10e Yes -51 1.5E+03 0 0 INF INF
10n Yes -51 1.5E+03 0 0 INF INF
15e No 0.5 0.29 -51 0 29 0.074 INF INF 2
15n No 0.51 0.29 -51 0 33 -0.071 INF INF 2
16e No 0.51 0.28 -51 96 20 0.095 INF INF
16n No 0.52 0.28 -51 96 19 0.036 INF INF
17e No 0.51 0.28 -51 96 19 0.072 INF INF
17n No 0.52 0.28 -51 96 21 -0.02 INF INF
18e No 0.029 0.0059 -51 96 0.7 0.54 INF INF
18n No 0.033 0.0059 -51 96 0.63 0.61 INF INF
19e Yes -51 1.5E+03 0 0 INF INF
19n Yes -51 1.5E+03 0 0 INF INF
20e Yes -51 1.5E+03 0 0 INF INF
20n Yes -51 1.5E+03 0 0 INF INF
21e No 0.5 0.36 -51 0 9.6 0.17 INF INF 2
21n No 0.22 0.36 -51 0 0.72 0.49 INF INF
27e No 0.15 0.036 -51 96 11 0.14 INF INF
27n No 0.09 0.036 -51 96 7.8 0.84 INF INF
28e No 0.041 0.14 -51 96 0.72 0.51 INF INF
28n No 0.19 0.14 -51 96 2.9 0.22 INF INF
29e No 0.51 0.27 -51 96 25 0.15 INF INF
29n No 0.44 0.27 -51 96 21 0.87 INF INF
30e No 0.52 0.28 -51 0 18 0.1 INF INF 2
30n No 0.49 0.28 -51 0 2.8 0.057 INF INF 2
31e No 0.5 0.3 -51 0 14 0.27 INF INF 2
31n No 0.53 0.3 -51 0 19 -0.018 INF INF 2
32e No 0.5 0.26 -51 0 7.8 0.13 INF INF 2
32n No 0.41 0.26 -51 0 20 0.95 INF INF
33e No 0.51 0.33 -51 0 20 0.12 INF INF 2
33n No 0.34 0.33 -51 0 27 -0.022 INF INF
36e No 0.48 0.28 -51 0 28 -0.2 INF INF 2
36n No 0.47 0.28 -51 0 23 -0.31 INF INF 2
37e No 0.49 0.3 -51 0 14 0.13 INF INF 2
37n No 0.5 0.3 -51 0 29 -0.023 INF INF 2
38e No 0.5 0.28 -51 0 22 0.1 INF INF 2
38n No 0.5 0.28 -51 0 26 -0.067 INF INF 2
40e No 0.52 0.28 -51 96 13 0.091 INF INF
40n No 0.5 0.28 -51 96 3.7 0.045 INF INF
41e No 0.53 0.28 -51 96 23 0.0094 INF INF
41n No 0.53 0.28 -51 96 24 -0.061 INF INF
42e No 0.53 0.29 -51 96 23 0.07 INF INF
42n No 0.48 0.29 -51 96 1.9 0.074 INF INF
43e No 0.53 0.28 -51 96 21 0.062 INF INF
43n No 0.53 0.28 -51 96 20 0.013 INF INF
44e No 0.13 0.036 -51 96 0.8 0.6 INF INF
44n No 0.077 0.036 -51 96 0.65 0.58 INF INF
45e No 0.52 0.28 -51 96 20 0.062 INF INF
45n No 0.52 0.28 -51 96 23 0.02 INF INF
46e No 0.49 0.29 -51 0 12 2.2 INF INF
46n No 0.52 0.29 -51 0 10 -0.032 INF INF 2
50e No 0.5 0.3 -51 96 20 0.09 INF INF
50n No 0.49 0.3 -51 96 20 -0.082 INF INF
51e No 0.5 0.29 -51 0 21 0.083 INF INF 2
51n No 0.51 0.29 -51 0 19 -0.12 INF INF 2
52e No 0.52 0.28 -51 96 23 -0.15 INF INF
52n No 0.52 0.28 -51 96 21 -0.29 INF INF
53e No 0.53 0.28 -51 0 16 0.029 INF INF 2
53n No 0.53 0.28 -51 0 27 -0.15 INF INF 2
54e No 0.53 0.28 -51 96 19 0.11 INF INF
54n No 0.54 0.28 -51 96 21 -0.025 INF INF
55e No 0.52 0.27 -51 0 17 0.098 INF INF 2
55n No 0.52 0.27 -51 0 18 -0.056 INF INF 2
56e No 0.54 0.28 -51 96 27 0.067 INF INF
56n No 0.54 0.28 -51 96 23 -0.039 INF INF
57e No 0.54 0.4 -51 96 14 0.077 INF INF
57n No 0.044 0.4 -51 96 0.61 0.61 INF INF
58e No 0.53 0.27 -51 96 17 0.16 INF INF
58n No 0.53 0.27 -51 96 17 0.056 INF INF
59e No 0.52 0.29 -51 96 25 0.11 INF INF
59n No 0.53 0.29 -51 96 20 0.039 INF INF
60e No 0.51 0.28 -51 96 15 0.18 INF INF
60n No 0.52 0.28 -51 96 7.6 0.079 INF INF
65e No 0.51 0.3 -51 0 19 0.047 INF INF 2
65n No 0.51 0.3 -51 0 20 -0.083 INF INF 2
66e No 0.52 0.29 -51 0 26 0.063 INF INF 2
66n No 0.52 0.29 -51 0 25 -0.059 INF INF 2
67e No 0.53 0.28 -51 96 22 0.06 INF INF
67n No 0.53 0.28 -51 96 31 -0.032 INF INF
68e No 0.53 0.27 -51 96 18 0.051 INF INF
68n No 0.54 0.27 -51 96 16 -0.1 INF INF
69e No 0.54 0.27 -51 96 18 0.093 INF INF
69n No 0.54 0.27 -51 96 26 -0.024 INF INF
70e No 0.54 0.27 -51 96 19 0.068 INF INF
70n No 0.54 0.27 -51 96 26 0.023 INF INF
71e No 0.42 0.27 -51 96 17 0.83 INF INF
71n No 0.54 0.27 -51 96 9.3 -0.059 INF INF
72e No 0.54 0.27 -51 96 19 0.22 INF INF
72n No 0.54 0.27 -51 96 12 -0.024 INF INF
73e No 0.54 0.28 -51 96 21 0.15 INF INF
73n No 0.54 0.28 -51 96 17 -0.0013 INF INF
74e No 0.53 0.28 -51 0 11 0.11 INF INF 2
74n No 0.54 0.28 -51 0 14 -0.037 INF INF 2
75e No 0.045 0.0026 -51 96 0.67 0.53 INF INF
75n No 0.04 0.0026 -51 96 0.62 0.58 INF INF
76e No 0.029 0.0005 -51 96 3.2 0.55 INF INF
76n No 0.031 0.0005 -51 96 2.9 0.56 INF INF
79e No 0.5 0.28 -51 96 21 0.2 INF INF
79n No 0.53 0.28 -51 96 28 0.021 INF INF
80e No 0.47 0.27 -51 96 12 0.25 INF INF
80n No 0.51 0.27 -51 96 15 0.13 INF INF
81e No 0.45 0.29 -51 0 0.81 -0.23 INF INF
81n No 0.5 0.29 -51 0 3.1 -0.47 INF INF 2
82e No 0.52 0.28 -51 96 19 0.19 INF INF
82n No 0.53 0.28 -51 96 18 -0.056 INF INF
83e No 0.51 0.26 -51 96 6 0.16 INF INF
83n No 0.48 0.26 -51 96 18 0.59 INF INF
84e No 0.53 0.26 -51 96 21 0.11 INF INF
84n No 0.53 0.26 -51 96 22 0.0083 INF INF
85e No 0.54 0.26 -51 96 15 -0.018 INF INF
85n No 0.54 0.26 -51 96 20 -0.0039 INF INF
86e No 0.28 -0.25 -51 96 22 0.035 INF INF
86n No 0.28 -0.25 -51 96 34 -0.015 INF INF
87e No 0.4 0.28 -51 96 18 1.1 INF INF
87n No 0.55 0.28 -51 96 24 -0.084 INF INF
88e Yes -51 1.5E+03 0 0 INF INF
88n Yes -51 1.5E+03 0 0 INF INF
89e No 0.52 0.34 -51 0 7.4 0.053 INF INF 2
89n No 0.094 0.34 -51 0 0.98 0.56 INF INF
90e No 0.32 -51 1.5E+03 0 0 INF INF
90n Yes -51 1.5E+03 0 0 INF INF
91e No 0.52 0.27 -51 96 20 0.031 INF INF
91n No 0.53 0.27 -51 96 13 -0.062 INF INF
92e No 0.52 0.28 -51 96 14 0.12 INF INF
92n No 0.53 0.28 -51 96 14 -0.014 INF INF
93e No 0.48 0.3 -51 96 2.6 0.15 INF INF
93n No 0.54 0.3 -51 96 19 -0.014 INF INF
94e No 0.52 0.27 -51 96 28 0.13 INF INF
94n No 0.53 0.27 -51 96 34 0.0066 INF INF
95e No 0.5 0.28 -51 96 21 0.26 INF INF
95n No 0.53 0.28 -51 96 29 0.044 INF INF
96e No 0.49 0.26 -51 96 15 0.25 INF INF
96n No 0.51 0.26 -51 96 13 0.12 INF INF
97e No 0.51 0.28 -51 96 19 0.13 INF INF
97n No 0.49 0.28 -51 96 9.6 0.21 INF INF
98e No 0.52 0.29 -51 96 14 0.041 INF INF
98n No 0.52 0.29 -51 96 14 -0.28 INF INF
99e No 0.18 0.32 -51 96 1.2 0.59 INF INF
99n No 0.51 0.32 -51 96 60 -0.015 INF INF
100e No 0.53 0.28 -51 96 27 0.12 INF INF
100n No 0.54 0.28 -51 96 22 -0.012 INF INF
101e No 0.53 0.27 -51 96 19 0.025 INF INF
101n No 0.54 0.27 -51 96 18 -0.095 INF INF
102e No 0.55 0.27 -51 96 23 0.063 INF INF
102n No 0.55 0.27 -51 96 23 0.014 INF INF
103e No 0.51 0.27 -51 96 4.9 0.18 INF INF
103n No 0.54 0.27 -51 96 23 0.0011 INF INF
104e No 0.54 0.37 -51 96 16 0.12 INF INF
104n No 0.024 0.37 -51 96 0.053 0.35 INF INF
105e No 0.56 0.28 -51 96 17 0.062 INF INF
105n No 0.56 0.28 -51 96 18 -0.069 INF INF
106e No 0.53 0.26 -51 0 18 -0.015 INF INF 2
106n No 0.51 0.26 -51 0 16 0.079 INF INF 2
107e Yes -51 1.5E+03 0 0 INF INF
107n No 0.12 -51 1.5E+03 0 0 INF INF
108e No 0.53 0.26 -51 0 18 0.16 INF INF 2
108n No 0.53 0.26 -51 0 13 0.15 INF INF 2
109e No 0.52 0.28 -51 96 15 0.13 INF INF
109n No 0.54 0.28 -51 96 17 0.00061 INF INF
110e No 0.54 0.28 -51 96 18 0.15 INF INF
110n No 0.55 0.28 -51 96 19 0.02 INF INF
111e No 0.54 0.28 -51 96 22 0.076 INF INF
111n No 0.55 0.28 -51 96 20 -0.019 INF INF
112e No 0.53 0.27 -51 96 27 0.087 INF INF
112n No 0.55 0.27 -51 96 19 -0.08 INF INF
113e No 0.51 0.25 -51 0 24 0.15 INF INF 2
113n No 0.5 0.25 -51 0 22 0.56 INF INF 2
114e No 0.51 0.27 -51 96 24 0.18 INF INF
114n No 0.53 0.27 -51 96 23 0.013 INF INF
115e No 0.5 0.27 -51 96 21 0.13 INF INF
115n No 0.5 0.27 -51 96 14 0.1 INF INF
116e No 0.5 0.28 -51 96 11 0.11 INF INF
116n No 0.51 0.28 -51 96 17 0.066 INF INF
117e No 0.51 0.28 -51 96 19 0.15 INF INF
117n No 0.53 0.28 -51 96 19 -0.026 INF INF
118e No 0.54 0.28 -51 96 21 0.1 INF INF
118n No 0.53 0.28 -51 96 45 -0.021 INF INF
119e No 0.53 0.28 -51 96 30 0.022 INF INF
119n No 0.54 0.28 -51 96 25 -0.06 INF INF
120e No 0.54 0.26 -51 96 30 0.00048 INF INF
120n No 0.53 0.26 -51 96 51 -0.015 INF INF
121e No 0.52 0.27 -51 96 11 0.23 INF INF
121n No 0.54 0.27 -51 96 16 -0.052 INF INF
122e No 0.54 0.27 -51 0 18 -0.015 INF INF 2
122n No 0.55 0.27 -51 0 19 -0.097 INF INF 2
123e No 0.51 0.25 -51 96 17 -0.17 INF INF
123n No 0.5 0.25 -51 96 16 -0.28 INF INF
124e No 0.54 0.28 -51 96 15 0.092 INF INF
124n No 0.55 0.28 -51 96 19 0.049 INF INF
125e No 0.52 0.26 -51 96 23 0.3 INF INF
125n No 0.54 0.26 -51 96 23 -0.29 INF INF
126e No 0.53 0.27 -51 0 15 0.042 INF INF 2
126n No 0.54 0.27 -51 0 23 -0.11 INF INF 2
127e No 0.53 0.27 -51 96 12 0.092 INF INF
127n No 0.55 0.27 -51 96 16 0.00026 INF INF
128e No 0.54 0.27 -51 96 20 0.094 INF INF
128n No 0.55 0.27 -51 96 11 0.055 INF INF
129e No 0.54 0.27 -51 96 18 0.12 INF INF
129n No 0.56 0.27 -51 96 19 -0.029 INF INF
130e No 0.54 0.27 -51 96 26 0.086 INF INF
130n No 0.55 0.27 -51 96 21 0.049 INF INF
131e No 0.51 0.27 -51 0 17 0.16 INF INF 2
131n No 0.52 0.27 -51 0 15 0.091 INF INF 2
132e No 0.5 0.27 -51 96 23 0.14 INF INF
132n No 0.52 0.27 -51 96 20 0.058 INF INF
133e No 0.51 0.28 -51 96 20 0.14 INF INF
133n No 0.52 0.28 -51 96 20 0.076 INF INF
134e No 0.51 0.27 -51 0 34 0.061 INF INF 2
134n No 0.5 0.27 -51 0 20 0.092 INF INF 2
135e No 0.053 0.38 -51 96 9.3 2.3 INF INF
135n No 0.54 0.38 -51 96 21 -0.0082 INF INF
136e No 0.53 0.28 -51 96 22 0.031 INF INF
136n No 0.53 0.28 -51 96 19 0.27 INF INF
137e No 0.52 0.28 -51 96 20 0.1 INF INF
137n No 0.53 0.28 -51 96 36 -0.011 INF INF
138e No 0.56 0.29 -51 96 25 0.059 INF INF
138n No 0.57 0.29 -51 96 18 -0.0016 INF INF
139e No 0.53 0.27 -51 96 33 0.088 INF INF
139n No 0.53 0.27 -51 96 30 0.0048 INF INF
140e No 0.53 0.26 -51 96 18 0.041 INF INF
140n No 0.52 0.26 -51 96 20 0.16 INF INF
141e No 0.53 0.27 -51 96 21 0.083 INF INF
141n No 0.54 0.27 -51 96 20 -0.033 INF INF
142e No 0.52 0.27 -51 96 18 0.16 INF INF
142n No 0.54 0.27 -51 96 19 0.049 INF INF
143e No 0.54 0.27 -51 96 29 0.083 INF INF
143n No 0.55 0.27 -51 96 32 -0.0063 INF INF
144e No 0.54 0.27 -51 96 17 0.063 INF INF
144n No 0.55 0.27 -51 96 12 -0.039 INF INF
145e No 0.54 0.27 -51 96 19 0.033 INF INF
145n No 0.56 0.27 -51 96 21 0.005 INF INF
146e No 0.52 0.25 -51 96 21 0.2 INF INF
146n No 0.52 0.25 -51 96 15 0.13 INF INF
147e No 0.54 0.27 -51 96 11 0.13 INF INF
147n No 0.56 0.27 -51 96 20 -0.018 INF INF
148e No 0.53 0.27 -51 96 23 0.18 INF INF
148n No 0.55 0.27 -51 96 23 0.016 INF INF
149e No 0.54 0.27 -51 96 19 0.12 INF INF
149n No 0.55 0.27 -51 96 22 -0.036 INF INF
150e No 0.53 0.28 -51 96 19 0.068 INF INF
150n No 0.55 0.28 -51 96 20 0.0026 INF INF
151e Yes -51 1.5E+03 0 0 INF INF
151n Yes -51 1.5E+03 0 0 INF INF
152e No 0.49 0.27 -51 96 18 0.14 INF INF
152n No 0.51 0.27 -51 96 21 0.042 INF INF
153e No 0.48 0.28 -51 96 13 0.19 INF INF
153n No 0.51 0.28 -51 96 21 0.085 INF INF
154e No 0.49 0.28 -51 96 21 0.13 INF INF
154n No 0.5 0.28 -51 96 20 0.038 INF INF
155e No 0.53 0.3 -51 96 20 0.079 INF INF
155n No 0.54 0.3 -51 96 23 -0.025 INF INF
156e No 0.5 0.27 -51 0 22 0.1 INF INF 2
156n No 0.52 0.27 -51 0 16 -0.035 INF INF 2
157e No 0.53 0.28 -51 96 18 0.06 INF INF
157n No 0.54 0.28 -51 96 20 -0.018 INF INF
158e No 0.54 0.28 -51 96 20 0.16 INF INF
158n No 0.55 0.28 -51 96 22 -0.018 INF INF
159e No 0.4 0.29 -51 96 6 0.36 INF INF
159n No 0.52 0.29 -51 96 22 0.058 INF INF
160e No 0.53 0.27 -51 96 11 0.069 INF INF
160n No 0.54 0.27 -51 96 21 -0.006 INF INF
161e No 0.52 0.25 -51 96 22 0.17 INF INF
161n No 0.4 0.25 -51 96 16 1.2 INF INF
162e No 0.53 0.27 -51 96 22 0.13 INF INF
162n No 0.55 0.27 -51 96 21 0.017 INF INF
163e No 0.53 0.28 -51 96 6.5 0.052 INF INF
163n No 0.56 0.28 -51 96 20 -0.11 INF INF
164e No 0.54 0.27 -51 96 14 0.14 INF INF
164n No 0.56 0.27 -51 96 17 -0.036 INF INF
165e No 0.54 0.26 -51 96 13 0.056 INF INF
165n No 0.54 0.26 -51 96 9.8 -0.0016 INF INF
166e No 0.52 0.26 -51 96 27 0.19 INF INF
166n No 0.55 0.26 -51 96 33 -0.042 INF INF
167e No 0.55 0.27 -51 96 20 0.048 INF INF
167n No 0.56 0.27 -51 96 43 -0.0085 INF INF
168e No 0.55 0.27 -51 96 27 0.08 INF INF
168n No 0.56 0.27 -51 96 21 -0.041 INF INF
169e No 0.55 0.27 -51 96 14 0.087 INF INF
169n No 0.56 0.27 -51 96 18 -0.043 INF INF
170e No 0.051 0.32 -51 96 0.65 0.55 INF INF
170n No 0.51 0.32 -51 96 30 0.047 INF INF
171e Yes -51 1.5E+03 0 0 INF INF
171n Yes -51 1.5E+03 0 0 INF INF
172e Yes -51 1.5E+03 0 0 INF INF
172n Yes -51 1.5E+03 0 0 INF INF
173e No 0.48 0.27 -51 96 74 0.025 INF INF
173n No 0.49 0.27 -51 96 76 0.0039 INF INF
174e No 0.49 0.28 -51 96 21 0.14 INF INF
174n No 0.49 0.28 -51 96 35 0.07 INF INF
175e No 0.47 0.28 -51 96 18 0.19 INF INF
175n No 0.45 0.28 -51 96 11 0.18 INF INF
176e No 0.49 0.29 -51 96 60 0.023 INF INF
176n No 0.53 0.29 -51 96 17 -0.045 INF INF
177e No 0.52 0.29 -51 96 11 0.063 INF INF
177n No 0.54 0.29 -51 96 18 -0.057 INF INF
178e No 0.53 0.29 -51 96 22 0.15 INF INF
178n No 0.54 0.29 -51 96 31 -0.063 INF INF
179e No 0.54 0.29 -51 96 15 0.15 INF INF
179n No 0.55 0.29 -51 96 20 0.014 INF INF
180e No 0.54 0.37 -51 96 19 0.15 INF INF
180n No 0.049 0.37 -51 96 0.62 0.57 INF INF
181e No 0.49 0.29 -51 96 2.4 0.18 INF INF
181n No 0.54 0.29 -51 96 23 0.053 INF INF
182e No 0.54 0.28 -51 96 14 0.18 INF INF
182n No 0.55 0.28 -51 96 17 -0.061 INF INF
183e No 0.55 0.27 -51 96 33 0.041 INF INF
183n No 0.56 0.27 -51 96 41 -0.0036 INF INF
184e No 0.35 0.29 -51 96 1.4 0.84 INF INF
184n No 0.54 0.29 -51 96 5.2 0.08 INF INF
185e No 0.54 0.27 -51 96 13 0.13 INF INF
185n No 0.56 0.27 -51 96 15 0.046 INF INF
186e No 0.55 0.26 -51 96 33 0.048 INF INF
186n No 0.56 0.26 -51 96 22 -0.043 INF INF
187e No 0.54 0.27 -51 96 23 0.084 INF INF
187n No 0.55 0.27 -51 96 13 0.03 INF INF
188e No 0.51 0.25 -51 96 23 0.15 INF INF
188n No 0.52 0.25 -51 96 39 0.16 INF INF
189e No 0.52 0.27 -51 96 19 0.11 INF INF
189n No 0.54 0.27 -51 96 26 -0.043 INF INF
190e No 0.54 0.28 -51 96 19 0.15 INF INF
190n No 0.55 0.28 -51 96 18 0.00078 INF INF
191e No 0.53 0.28 -51 96 22 0.085 INF INF
191n No 0.55 0.28 -51 96 30 0.061 INF INF
192e No 0.5 0.28 -51 96 24 0.14 INF INF
192n No 0.52 0.28 -51 96 32 0.014 INF INF
193e No 0.49 0.26 -51 96 21 0.22 INF INF
193n No 0.49 0.26 -51 96 18 0.13 INF INF
194e No 0.49 0.28 -51 96 35 0.035 INF INF
194n No 0.49 0.28 -51 96 30 -0.0099 INF INF
195e No 0.48 0.29 -51 96 24 0.1 INF INF
195n No 0.48 0.29 -51 96 23 0.063 INF INF
196e No 0.036 0.37 -51 96 3.2 0.57 INF INF
196n No 0.51 0.37 -51 96 22 -0.018 INF INF
197e No 0.49 0.26 -51 96 19 0.19 INF INF
197n No 0.39 0.26 -51 96 22 0.87 INF INF
198e No 0.51 0.29 -51 96 31 0.14 INF INF
198n No 0.53 0.29 -51 96 39 -0.013 INF INF
200e No 0.047 0.4 -51 96 3.1 0.57 INF INF
200n No 0.53 0.4 -51 96 29 0.0099 INF INF
201e No 0.52 0.28 -51 96 58 0.051 INF INF
201n No 0.54 0.28 -51 96 48 -0.013 INF INF
202e No 0.52 0.26 -51 96 35 0.12 INF INF
202n No 0.53 0.26 -51 96 23 0.088 INF INF
203e No 0.52 0.27 -51 96 17 0.14 INF INF
203n No 0.55 0.27 -51 96 19 -0.042 INF INF
204e No 0.54 0.27 -51 96 15 -0.21 INF INF
204n No 0.55 0.27 -51 96 19 -0.4 INF INF
205e No 0.53 0.27 -51 96 25 0.15 INF INF
205n No 0.55 0.27 -51 96 25 0.0072 INF INF
206e No 0.52 0.25 -51 96 27 0.14 INF INF
206n No 0.53 0.25 -51 96 20 0.044 INF INF
207e No 0.51 0.36 -51 96 27 0.15 INF INF
207n No 0.045 0.36 -51 96 3 0.59 INF INF
208e No 0.52 0.27 -51 96 29 0.078 INF INF
208n No 0.53 0.27 -51 96 42 0.087 INF INF
209e No 0.51 0.27 -51 96 29 0.097 INF INF
209n No 0.52 0.27 -51 96 36 0.12 INF INF
210e No 0.52 0.27 -51 96 22 -0.2 INF INF
210n No 0.52 0.27 -51 96 16 -0.27 INF INF
211e No 0.5 0.28 -51 96 33 0.11 INF INF
211n No 0.51 0.28 -51 96 24 0.029 INF INF
212e No 0.48 0.27 -51 96 28 0.12 INF INF
212n No 0.47 0.27 -51 96 14 0.1 INF INF
213e No 0.47 0.29 -51 96 19 0.21 INF INF
213n No 0.49 0.29 -51 96 22 0.0022 INF INF
214e No 0.48 0.29 -51 96 25 0.12 INF INF
214n No 0.48 0.29 -51 96 23 0.055 INF INF
215e No 0.5 0.28 -51 96 37 0.08 INF INF
215n No 0.5 0.28 -51 96 19 0.2 INF INF
216e No 0.5 0.27 -51 96 23 0.14 INF INF
216n No 0.5 0.27 -51 96 16 0.15 INF INF
217e No 0.51 0.28 -51 96 29 0.19 INF INF
217n No 0.52 0.28 -51 96 21 0.07 INF INF
218e No 0.51 0.34 -51 96 31 0.1 INF INF
218n No 0.18 0.34 -51 96 0.49 0.31 INF INF
219e No 0.51 0.27 -51 96 23 0.084 INF INF
219n No 0.52 0.27 -51 96 20 0.061 INF INF
220e No 0.52 0.26 -51 96 22 0.14 INF INF
220n No 0.53 0.26 -51 96 18 0.023 INF INF
221e No 0.52 0.26 -51 96 20 0.18 INF INF
221n No 0.54 0.26 -51 96 18 0.089 INF INF
222e No 0.52 0.27 -51 96 21 0.22 INF INF
222n No 0.55 0.27 -51 96 28 0.026 INF INF
223e No 0.51 0.26 -51 0 19 0.1 INF INF 2
223n No 0.54 0.26 -51 0 25 -0.036 INF INF 2
224e No 0.51 0.27 -51 96 26 0.23 INF INF
224n No 0.54 0.27 -51 96 25 0.037 INF INF
225e No 0.52 0.27 -51 96 29 0.12 INF INF
225n No 0.53 0.27 -51 96 23 0.021 INF INF
226e No 0.52 0.26 -51 96 27 0.076 INF INF
226n No 0.48 0.26 -51 96 34 0.34 INF INF
227e No 0.5 0.26 -51 96 22 0.11 INF INF
227n No 0.5 0.26 -51 96 13 0.12 INF INF
228e No 0.49 0.27 -51 96 20 0.2 INF INF
228n No 0.5 0.27 -51 96 20 0.048 INF INF
229e No 0.48 0.28 -51 96 20 0.23 INF INF
229n No 0.5 0.28 -51 96 19 0.037 INF INF
231e No 0.48 0.29 -51 96 41 0.061 INF INF
231n No 0.5 0.29 -51 96 34 -0.033 INF INF
232e No 0.47 0.28 -51 96 46 0.056 INF INF
232n No 0.47 0.28 -51 96 18 0.077 INF INF
233e No 0.48 0.27 -51 96 16 0.15 INF INF
233n No 0.46 0.27 -51 96 32 0.42 INF INF
234e No 0.5 0.31 -51 96 31 0.15 INF INF
234n No 0.39 0.31 -51 96 5.2 0.35 INF INF
237e No 0.51 0.27 -51 96 21 0.14 INF INF
237n No 0.54 0.27 -51 96 22 0.048 INF INF
238e No 0.53 0.27 -51 96 29 0.089 INF INF
238n No 0.54 0.27 -51 96 23 0.072 INF INF
239e No 0.52 0.27 -51 96 21 0.12 INF INF
239n No 0.54 0.27 -51 96 30 -0.0027 INF INF
240e No 0.49 0.27 -51 96 12 0.23 INF INF
240n No 0.52 0.27 -51 96 19 0.23 INF INF
241e No 0.51 0.27 -51 96 22 0.11 INF INF
241n No 0.53 0.27 -51 96 20 0.028 INF INF
242e No 0.51 0.28 -51 96 32 0.072 INF INF
242n No 0.53 0.28 -51 96 37 -0.0068 INF INF
243e No 0.5 0.27 -51 96 38 0.13 INF INF
243n No 0.51 0.27 -51 96 20 0.05 INF INF
244e No 0.49 0.28 -51 96 20 0.1 INF INF
244n No 0.51 0.28 -51 96 21 0.065 INF INF
245e No 0.5 0.28 -51 96 30 0.12 INF INF
245n No 0.42 0.28 -51 96 23 0.71 INF INF
246e Yes -51 1.5E+03 0 0 INF INF
246n No 0.17 -51 1.5E+03 0 0 INF INF
250e No 0.48 0.29 -51 96 18 0.17 INF INF
250n No 0.5 0.29 -51 96 24 0.055 INF INF
251e No 0.073 0.11 -51 96 5.7 0.66 INF INF
251n No 0.23 0.11 -51 96 24 0.11 INF INF
252e No 0.5 0.28 -51 96 21 0.17 INF INF
252n No 0.51 0.28 -51 96 20 0.045 INF INF
253e No 0.5 0.27 -51 96 18 0.19 INF INF
253n No 0.5 0.27 -51 96 13 0.15 INF INF
254e No 0.52 0.28 -51 96 38 0.1 INF INF
254n No 0.54 0.28 -51 96 32 0.04 INF INF
255e No 0.5 0.27 -51 96 15 0.21 INF INF
255n No 0.52 0.27 -51 96 22 0.14 INF INF
256e No 0.5 0.26 -51 96 30 0.28 INF INF
256n No 0.5 0.26 -51 96 14 0.12 INF INF
257e No 0.44 0.28 -51 96 41 0.4 INF INF
257n No 0.53 0.28 -51 96 29 -0.026 INF INF
261e Yes -51 1.5E+03 0 0 INF INF
261n Yes -51 1.5E+03 0 0 INF INF
262e Yes -51 1.5E+03 0 0 INF INF
262n Yes -51 1.5E+03 0 0 INF INF
266e No 0.035 0.0066 -51 96 0.82 0.12 INF INF
266n No 0.029 0.0066 -51 96 0.69 0.08 INF INF
267e No 0.48 0.29 -51 96 14 0.15 INF INF
267n No 0.51 0.29 -51 96 18 0.028 INF INF
268e No 0.036 0.0011 -51 96 3.3 0.55 INF INF
268n No 0.037 0.0011 -51 96 3 0.59 INF INF
269e No 0.5 0.27 -51 96 21 0.14 INF INF
269n No 0.51 0.27 -51 96 20 0.073 INF INF
270e No 0.51 0.28 -51 96 27 0.12 INF INF
270n No 0.53 0.28 -51 96 35 0.026 INF INF
271e No 0.047 0.43 -51 96 3.2 0.55 INF INF
271n No 0.52 0.43 -51 96 21 0.017 INF INF
272e No 0.48 0.28 -51 96 20 0.25 INF INF
272n No 0.51 0.28 -51 96 31 0.049 INF INF
273e No 0.22 -0.24 -51 96 80 0.0076 INF INF
273n No 0.23 -0.24 -51 96 34 0.057 INF INF
277e No 0.35 0.29 -51 96 19 0.85 INF INF
277n No 0.5 0.29 -51 96 27 0.056 INF INF
278e No 0.26 0.32 -51 96 4.9 0.49 INF INF
278n No 0.45 0.32 -51 96 12 0.13 INF INF
281e No 0.48 0.29 -51 96 19 0.24 INF INF
281n No 0.51 0.29 -51 96 19 0.058 INF INF
282e No 0.49 0.3 -51 96 22 0.13 INF INF
282n No 0.52 0.3 -51 96 37 -0.013 INF INF
283e No 0.51 0.3 -51 96 25 0.08 INF INF
283n No 0.53 0.3 -51 96 27 0.006 INF INF
284e No 0.5 0.29 -51 96 23 0.14 INF INF
284n No 0.52 0.29 -51 96 30 0.012 INF INF
285e No 0.048 0.0013 -51 96 3.4 0.58 INF INF
285n No 0.052 0.0013 -51 96 3 0.62 INF INF
286e No 0.23 -0.24 -51 96 33 0.065 INF INF
286n No 0.21 -0.24 -51 96 79 0.013 INF INF
287e No 0.48 0.25 -51 96 44 0.066 INF INF
287n No 0.25 0.25 -51 96 29 0.01 INF INF
290e No 0.44 0.26 -51 96 77 0.029 INF INF
290n No 0.44 0.26 -51 96 76 0.03 INF INF
291e No 0.45 0.35 -51 0 73 0.029 INF INF
291n No 0.068 0.35 -51 0 0.6 -0.022 INF INF
292e No 0.47 0.3 -51 96 19 0.19 INF INF
292n No 0.49 0.3 -51 96 34 0.035 INF INF
293e No 0.33 0.28 -51 96 27 0.79 INF INF
293n No 0.45 0.28 -51 96 16 0.14 INF INF
294e No 0.38 0.28 -51 96 25 0.54 INF INF
294n No 0.46 0.28 -51 96 23 0.0017 INF INF
295e No 0.036 0.0045 -51 96 0.79 0.11 INF INF
295n No 0.032 0.0045 -51 96 0.79 0.079 INF INF
299e No 0.48 0.29 -51 96 28 0.16 INF INF
299n No 0.49 0.29 -51 96 19 0.034 INF INF
300e No 0.49 0.29 -51 96 28 0.043 INF INF
300n No 0.37 0.29 -51 96 24 0.84 INF INF
301e No 0.47 0.28 -51 96 32 0.09 INF INF
301n No 0.46 0.28 -51 96 15 0.061 INF INF
302e No 0.37 0.32 -51 96 5.9 0.37 INF INF
302n No 0.49 0.32 -51 96 24 0.013 INF INF
306e No 0.45 0.28 -51 96 15 0.15 INF INF
306n No 0.34 0.28 -51 96 23 0.75 INF INF
307e No 0.31 0.28 -51 96 19 0.88 INF INF
307n No 0.45 0.28 -51 96 18 -0.02 INF INF
311e No 0.46 0.31 -51 96 18 0.17 INF INF
311n No 0.23 0.31 -51 96 4.4 0.79 INF INF
312e No 0.21 -0.14 -51 96 22 0.85 INF INF
312n No 0.19 -0.14 -51 96 8.2 0.24 INF INF
313e No 0.34 0.29 -51 96 18 0.88 INF INF
313n No 0.48 0.29 -51 96 49 0.011 INF INF
314e No 0.46 0.36 -51 96 43 0.11 INF INF
314n No 0.051 0.36 -51 96 3.4 0.59 INF INF
315e No 0.46 0.29 -51 96 21 0.11 INF INF
315n No 0.44 0.29 -51 96 21 0.15 INF INF
316e No 0.44 0.3 -51 96 15 0.24 INF INF
316n No 0.47 0.3 -51 96 27 -0.0021 INF INF
317e No 0.46 0.29 -51 96 34 0.051 INF INF
317n No 0.45 0.29 -51 96 17 0.037 INF INF
318e No 0.46 0.3 -51 96 65 -0.0037 INF INF
318n No 0.43 0.3 -51 96 79 -0.014 INF INF
319e No 0.47 0.31 -51 96 28 0.085 INF INF
319n No 0.46 0.31 -51 96 33 0.013 INF INF
320e No 0.059 0.0054 -51 0 1.6 0.67 INF INF
320n No 0.054 0.0054 -51 0 1.6 0.59 INF INF
321e No 0.32 0.24 -51 0 5.5 0.18 INF INF
321n No 0.36 0.24 -51 0 7 -0.06 INF INF 2
322e No 0.028 0.0004 -51 96 3.3 0.55 INF INF
322n No 0.03 0.0004 -51 96 3.1 0.59 INF INF
323e No 0.041 3.2E-05 -51 0 3.1 0.6 INF INF
323n No 0.04 3.2E-05 -51 0 3.1 0.6 INF INF
324e No 0.41 0.28 -51 96 31 0.075 INF INF
324n No 0.4 0.28 -51 96 34 -0.021 INF INF
325e No 0.44 0.3 -51 96 29 0.098 INF INF
325n No 0.43 0.3 -51 96 23 0.015 INF INF
326e No 0.043 0.0041 -51 96 3.4 0.56 INF INF
326n No 0.048 0.0041 -51 96 3.1 0.57 INF INF
327e No 0.42 0.27 -51 96 29 0.14 INF INF
327n No 0.44 0.27 -51 96 30 0.0081 INF INF
328e No 0.05 0.31 -51 96 3.3 0.55 INF INF
328n No 0.43 0.31 -51 96 22 -0.0025 INF INF
329e No 0.12 0.051 -51 96 3.9 0.58 INF INF
329n No 0.042 0.051 -51 96 3.2 0.59 INF INF
331e No 0.35 0.17 -51 0 31 0.55 INF INF
331n No 0.35 0.17 -51 0 26 0.57 INF INF
332e No 0.046 0.0013 -51 96 3.3 0.57 INF INF
332n No 0.047 0.0013 -51 96 2.9 0.6 INF INF
333e No 0.39 0.28 -51 96 10 0.16 INF INF
333n No 0.41 0.28 -51 96 15 -0.057 INF INF
336e No 0.13 -0.24 -51 96 54 0.028 INF INF
336n No 0.13 -0.24 -51 96 21 0.19 INF INF
339e Yes -51 1.5E+03 0 0 INF INF
339n Yes -51 1.5E+03 0 0 INF INF
340e No 0.046 0.0038 -51 96 3.6 0.56 INF INF
340n No 0.044 0.0038 -51 96 3 0.58 INF INF
342e No 0.42 0.31 -51 96 11 0.27 INF INF
342n No 0.47 0.31 -51 96 30 0.024 INF INF
343e No 0.061 0.32 -51 96 3.4 0.58 INF INF
343n No 0.41 0.32 -51 96 74 0.014 INF INF
344e No 0.037 0.0025 -51 96 3.1 0.58 INF INF
344n No 0.04 0.0025 -51 96 2.8 0.59 INF INF
345e Yes -51 1.5E+03 0 0 INF INF
345n Yes -51 1.5E+03 0 0 INF INF
346e No 0.3 0.2 -51 96 5.4 0.4 INF INF
346n No 0.16 0.2 -51 96 3.1 0.54 INF INF
347e No 0.032 0.0047 -51 96 3.2 0.54 INF INF
347n No 0.037 0.0047 -51 96 2.8 0.57 INF INF
348e No 0.045 0.028 -51 96 3.4 0.61 INF INF
348n No 0.078 0.028 -51 96 3.2 0.64 INF INF
349e No 0.42 0.3 -51 96 58 0.011 INF INF
349n No 0.4 0.3 -51 96 75 -0.018 INF INF
In [59]:
# Save antenna classification table as a csv
if SAVE_RESULTS:
    for ind, col in zip(np.arange(len(df.columns), 0, -1), df_classes.columns[::-1]):
        df.insert(int(ind), col + ' Class', df_classes[col])
    df.to_csv(ANTCLASS_FILE)    
In [60]:
print('Final Ant-Pol Classification:\n\n', overall_class)
Final Ant-Pol Classification:

 Jee:
----------
bad (290 antpols):
3, 4, 5, 7, 8, 9, 10, 15, 16, 17, 18, 19, 20, 21, 27, 28, 29, 30, 31, 32, 33, 36, 37, 38, 40, 41, 42, 43, 44, 45, 46, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 231, 232, 233, 234, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 250, 251, 252, 253, 254, 255, 256, 257, 261, 262, 266, 267, 268, 269, 270, 271, 272, 273, 277, 278, 281, 282, 283, 284, 285, 286, 287, 290, 291, 292, 293, 294, 295, 299, 300, 301, 302, 306, 307, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 331, 332, 333, 336, 339, 340, 342, 343, 344, 345, 346, 347, 348, 349


Jnn:
----------
bad (290 antpols):
3, 4, 5, 7, 8, 9, 10, 15, 16, 17, 18, 19, 20, 21, 27, 28, 29, 30, 31, 32, 33, 36, 37, 38, 40, 41, 42, 43, 44, 45, 46, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 231, 232, 233, 234, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 250, 251, 252, 253, 254, 255, 256, 257, 261, 262, 266, 267, 268, 269, 270, 271, 272, 273, 277, 278, 281, 282, 283, 284, 285, 286, 287, 290, 291, 292, 293, 294, 295, 299, 300, 301, 302, 306, 307, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 331, 332, 333, 336, 339, 340, 342, 343, 344, 345, 346, 347, 348, 349

Save calibration solutions¶

In [61]:
if not all_flagged():
    # update flags in omnical gains and visibility solutions
    for ant in omni_flags:
        omni_flags[ant] |= rfi_flags
    for bl in vissol_flags:
        vissol_flags[bl] |= rfi_flags
All antennas are flagged, so this cell is being skipped.
In [62]:
if SAVE_RESULTS:
    add_to_history = 'Produced by file_calibration notebook with the following environment:\n' + '=' * 65 + '\n' + os.popen('conda env export').read() + '=' * 65    
    
    if not all_flagged():
        hd_vissol = io.HERAData(SUM_FILE)
        hc_omni = hd_vissol.init_HERACal(gain_convention='divide', cal_style='redundant')
        hc_omni.pol_convention = hd_auto_model.pol_convention
        hc_omni.gain_scale = hd_auto_model.vis_units
        hc_omni.update(gains=sol.gains, flags=omni_flags, quals=meta['chisq_per_ant'], total_qual=meta['chisq'])
        hc_omni.history += add_to_history
        hc_omni.write_calfits(OMNICAL_FILE, clobber=True)
        del hc_omni
        malloc_trim()
        
        if SAVE_OMNIVIS_FILE:
            # output results, harmonizing keys over polarizations
            all_reds = redcal.get_reds(hd.data_antpos, pols=['ee', 'nn', 'en', 'ne'], pol_mode='4pol', bl_error_tol=2.0)
            bl_to_red_map = {bl: red[0] for red in all_reds for bl in red}
            hd_vissol.read(bls=[bl_to_red_map[bl] for bl in sol.vis], return_data=False)
            hd_vissol.empty_arrays()
            hd_vissol.history += add_to_history
            hd_vissol.update(data={bl_to_red_map[bl]: sol.vis[bl] for bl in sol.vis}, 
                             flags={bl_to_red_map[bl]: vissol_flags[bl] for bl in vissol_flags}, 
                             nsamples={bl_to_red_map[bl]: vissol_nsamples[bl] for bl in vissol_nsamples})
            hd_vissol.pol_convention = hd_auto_model.pol_convention
            hd_vissol.vis_units = hd_auto_model.vis_units
            hd_vissol.write_uvh5(OMNIVIS_FILE, clobber=True)
    
        del hd_vissol
        malloc_trim()        
All antennas are flagged, so this cell is being skipped.

Output fully flagged calibration file if OMNICAL_FILE is not written¶

In [63]:
if SAVE_RESULTS and not os.path.exists(OMNICAL_FILE):
    print(f'WARNING: No calibration file produced at {OMNICAL_FILE}. Creating a fully-flagged placeholder calibration file.')
    hd_writer = io.HERAData(SUM_FILE)
    # create fully flagged unit gains with chi^2 = 0
    hc_omni = hd_writer.init_HERACal(gain_convention='divide', cal_style='redundant')
    hc_omni.history += add_to_history
    hc_omni.pol_convention = hd_auto_model.pol_convention
    hc_omni.gain_scale = hd_auto_model.vis_units
    hc_omni.write_calfits(OMNICAL_FILE, clobber=True)
    del hc_omni
WARNING: No calibration file produced at /mnt/sn1/data2/2461100/zen.2461100.45939.sum.omni.calfits. Creating a fully-flagged placeholder calibration file.

Output empty visibility file if OMNIVIS_FILE is not written¶

In [64]:
if SAVE_RESULTS and SAVE_OMNIVIS_FILE and not os.path.exists(OMNIVIS_FILE):
    print(f'WARNING: No omnivis file produced at {OMNIVIS_FILE}. Creating an empty visibility solution file.')
    hd_writer = io.HERAData(SUM_FILE)
    hd_writer.initialize_uvh5_file(OMNIVIS_FILE, clobber=True)

Metadata¶

In [65]:
for repo in ['pyuvdata', 'hera_cal', 'hera_filters', 'hera_qm', 'hera_notebook_templates']:
    exec(f'from {repo} import __version__')
    print(f'{repo}: {__version__}')
pyuvdata: 3.2.5.dev1+g5a985ae31
hera_cal: 3.7.7.dev97+gc2668d3f7
hera_filters: 0.1.7
hera_qm: 2.2.1.dev4+gf6d02113b
hera_notebook_templates: 0.0.1.dev1313+g92178a09c
In [66]:
print(f'Finished execution in {(time.time() - tstart) / 60:.2f} minutes.')
Finished execution in 1.53 minutes.