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
gpu6.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/data1/2461087/zen.2461087.45941.sum.uvh5'
DIFF_FILE = '/mnt/sn1/data1/2461087/zen.2461087.45941.diff.uvh5'
AM_FILE = '/mnt/sn1/data1/2461087/zen.2461087.45941.sum.ant_metrics.hdf5'
ANTCLASS_FILE = '/mnt/sn1/data1/2461087/zen.2461087.45941.sum.ant_class.csv'
OMNICAL_FILE = '/mnt/sn1/data1/2461087/zen.2461087.45941.sum.omni.calfits'
OMNIVIS_FILE = '/mnt/sn1/data1/2461087/zen.2461087.45941.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 1.30 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/data1/2461087/zen.2461087.45941.sum.uvh5
JDs: [2461087.45935538 2461087.45946723] (9.66368 s integrations)
LSTS: [10.18393065 10.18662236] 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.')
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)
All antennas are flagged, so this cell is being skipped.

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
All antennas are flagged, so this cell is being skipped.

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
All antennas are flagged, so this cell is being skipped.
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 0.55 0.36 -47 96 11 0.12
3n No 0.55 0.36 -47 96 16 0.016
4e No 0.32 0.14 -47 96 14 0.17
4n No 0.31 0.14 -47 96 16 0.33
5e No 0.58 0.37 -47 96 15 0.036
5n No 0.58 0.37 -47 96 20 -0.057
7e No 0.58 0.37 -47 96 21 0.084
7n No 0.58 0.37 -47 96 22 -0.025
8e No 0.59 0.38 -47 96 25 0.068
8n No 0.58 0.38 -47 96 12 0.058
9e No 0.58 0.38 -47 96 19 0.09
9n No 0.58 0.38 -47 96 20 -0.00023
10e No 0.57 0.38 -47 96 16 0.12
10n No 0.57 0.38 -47 96 14 0.09
15e No 0.58 0.38 -47 96 32 0.045
15n No 0.58 0.38 -47 96 34 -0.077
16e No 0.58 0.37 -47 96 19 0.095
16n No 0.58 0.37 -47 96 17 0.088
17e No 0.59 0.38 -47 96 18 0.055
17n No 0.59 0.38 -47 96 19 0.019
18e No 0.028 0.0035 -47 96 0.67 0.46
18n No 0.031 0.0035 -47 96 0.6 0.53
19e No 0.59 0.38 -47 96 20 0.078
19n No 0.58 0.38 -47 96 19 0.0056
20e No 0.58 0.38 -47 96 19 0.13
20n No 0.59 0.38 -47 96 22 -0.019
21e No 0.54 0.36 -47 96 8.5 0.32
21n No 0.56 0.36 -47 96 6 0.083
27e No 0.13 -0.0027 -47 96 11 0.39
27n No 0.087 -0.0027 -47 96 7.2 0.62
28e No 0.11 0.042 -47 96 6.5 0.67
28n No 0.18 0.042 -47 96 2.5 0.21
29e No 0.58 0.37 -47 96 22 0.13
29n No 0.49 0.37 -47 96 16 0.91
30e No 0.58 0.38 -47 96 15 0.1
30n No 0.53 0.38 -47 96 2.6 0.088
31e No 0.59 0.36 -47 96 17 0.12
31n No 0.57 0.36 -47 96 18 0.12
32e No 0.57 0.35 -47 96 6.5 0.13
32n No 0.46 0.35 -47 96 14 0.93
33e No 0.58 0.43 -47 96 18 0.11
33n No 0.38 0.43 -47 96 19 0.086
36e No 0.56 0.37 -47 96 25 -0.23
36n No 0.54 0.37 -47 96 22 -0.28
37e No 0.59 0.4 -47 96 10 0.095
37n No 0.59 0.4 -47 96 23 -0.037
38e No 0.6 0.39 -47 96 21 0.11
38n No 0.59 0.39 -47 96 31 -0.038
40e No 0.6 0.4 -47 96 13 0.074
40n No 0.56 0.4 -47 96 3.2 0.033
41e No 0.61 0.38 -47 96 20 -0.0024
41n No 0.6 0.38 -47 96 28 -0.039
42e No 0.6 0.39 -47 96 19 0.059
42n No 0.52 0.39 -47 96 1.8 0.09
43e No 0.6 0.37 -47 96 20 0.038
43n No 0.6 0.37 -47 96 17 0.056
44e No 0.048 0.017 -47 96 0.65 0.43
44n No 0.073 0.017 -47 97 0.61 0.5
45e No 0.6 0.37 -47 96 19 0.047
45n No 0.59 0.37 -47 96 20 0.025
46e No 0.56 0.37 -47 96 12 2.2
46n No 0.59 0.37 -47 96 14 0.01
50e No 0.59 0.4 -47 96 18 0.085
50n No 0.58 0.4 -47 96 19 -0.051
51e No 0.59 0.39 -47 96 19 0.11
51n No 0.59 0.39 -47 96 17 -0.075
52e No 0.6 0.39 -47 96 21 -0.19
52n No 0.6 0.39 -47 96 19 -0.27
53e No 0.6 0.38 -47 96 16 0.033
53n No 0.61 0.38 -47 96 23 -0.13
54e No 0.6 0.37 -47 96 17 0.11
54n No 0.6 0.37 -47 96 19 0.026
55e No 0.59 0.37 -47 96 15 0.1
55n No 0.59 0.37 -47 96 15 -0.02
56e No 0.61 0.37 -47 96 25 0.048
56n No 0.61 0.37 -47 96 23 0.02
57e No 0.51 0.39 -47 96 1.5 0.19
57n No 0.036 0.39 -47 96 0.58 0.53
58e No 0.6 0.37 -47 96 15 0.14
58n No 0.6 0.37 -47 96 17 0.11
59e No 0.6 0.37 -47 96 27 0.11
59n No 0.6 0.37 -47 96 21 0.068
60e No 0.6 0.38 -47 96 14 0.16
60n No 0.58 0.38 -47 97 6.3 0.13
65e No 0.6 0.4 -47 96 19 0.052
65n No 0.6 0.4 -47 96 18 -0.037
66e No 0.6 0.39 -47 96 22 0.048
66n No 0.6 0.39 -47 96 23 -0.027
67e No 0.61 0.39 -47 96 18 0.059
67n No 0.61 0.39 -47 96 25 -0.023
68e No 0.61 0.38 -47 96 16 0.045
68n No 0.61 0.38 -47 96 15 -0.067
69e No 0.61 0.37 -47 96 18 0.067
69n No 0.61 0.37 -47 96 22 0.021
70e No 0.61 0.37 -47 96 16 0.059
70n No 0.61 0.37 -47 96 23 0.058
71e No 0.62 0.38 -47 96 15 0.048
71n No 0.61 0.38 -47 96 9.3 0.035
72e No 0.62 0.37 -47 96 19 0.21
72n No 0.61 0.37 -47 96 11 -0.0032
73e No 0.62 0.38 -47 96 19 0.15
73n No 0.61 0.38 -47 96 15 0.027
74e No 0.6 0.37 -47 96 13 0.095
74n No 0.61 0.37 -47 96 13 0.0024
75e No 0.14 -0.049 -47 97 0.88 0.33
75n No 0.086 -0.049 -47 96 0.64 0.46
76e No 0.034 0.0027 -47 96 3.1 0.48
76n No 0.033 0.0027 -47 96 2.7 0.48
79e No 0.56 0.37 -47 96 19 0.21
79n No 0.58 0.37 -47 96 26 0.063
80e No 0.53 0.33 -47 96 12 0.29
80n No 0.53 0.33 -47 96 13 0.21
81e No 0.52 0.4 -47 96 0.71 -0.23
81n No 0.58 0.4 -47 96 3 -0.4
82e No 0.6 0.39 -47 96 15 0.2
82n No 0.6 0.39 -47 96 15 0.0027
83e No 0.59 0.37 -47 96 5.6 0.13
83n No 0.55 0.37 -47 96 17 0.58
84e No 0.59 0.37 -47 96 18 0.21
84n No 0.6 0.37 -47 96 19 0.065
85e No 0.61 0.37 -47 96 14 -0.0082
85n No 0.61 0.37 -47 96 19 0.05
86e No 0.25 -0.33 -47 96 20 0.084
86n No 0.25 -0.33 -47 96 27 -0.01
87e No 0.48 0.37 -47 96 16 0.95
87n No 0.62 0.37 -47 96 22 -0.049
88e Yes -47 1.5E+03 0 0
88n Yes -47 1.5E+03 0 0
89e No 0.041 0.0011 -47 96 0.97 0.45
89n No 0.039 0.0011 -47 96 0.92 0.49
90e Yes -47 1.5E+03 0 0
90n Yes -47 1.5E+03 0 0
91e No 0.61 0.38 -47 96 18 -0.0012
91n No 0.6 0.38 -47 96 12 -0.033
92e No 0.59 0.36 -47 96 14 0.12
92n No 0.59 0.36 -47 96 14 0.049
93e No 0.53 0.39 -47 96 2.2 0.14
93n No 0.6 0.39 -47 96 17 0.012
94e No 0.58 0.36 -47 96 25 0.11
94n No 0.58 0.36 -47 96 31 0.026
95e No 0.56 0.37 -47 96 18 0.22
95n No 0.58 0.37 -47 96 27 0.056
96e No 0.56 0.36 -47 96 15 0.23
96n No 0.56 0.36 -47 96 13 0.15
97e No 0.57 0.38 -47 96 18 0.13
97n No 0.53 0.38 -47 96 9.2 0.24
98e No 0.59 0.39 -47 96 13 0.054
98n No 0.58 0.39 -47 96 13 -0.12
99e No 0.15 0.43 -47 96 1.1 0.53
99n No 0.58 0.43 -47 96 62 -0.064
100e No 0.6 0.38 -47 96 23 0.2
100n No 0.61 0.38 -47 96 20 0.042
101e No 0.61 0.37 -47 96 18 0.0065
101n No 0.61 0.37 -47 96 16 -0.077
102e No 0.62 0.37 -47 96 20 0.051
102n No 0.61 0.37 -47 96 20 0.059
103e No 0.58 0.37 -47 96 4.8 0.18
103n No 0.61 0.37 -47 96 20 0.036
104e No 0.61 0.46 -47 96 15 0.14
104n No 0.021 0.46 -47 97 0.048 0.26
105e No 0.62 0.37 -47 96 14 0.03
105n No 0.62 0.37 -47 96 16 -0.065
106e No 0.62 0.37 -47 96 19 -0.035
106n No 0.62 0.37 -47 96 17 -0.14
107e Yes -47 1.5E+03 0 0
107n Yes -47 1.5E+03 0 0
108e No 0.61 0.37 -47 96 17 0.18
108n No 0.61 0.37 -47 96 13 0.11
109e No 0.6 0.37 -47 96 14 0.13
109n No 0.6 0.37 -47 96 17 0.036
110e No 0.61 0.38 -47 96 15 0.15
110n No 0.61 0.38 -47 96 17 0.062
111e No 0.61 0.38 -47 96 20 0.046
111n No 0.61 0.38 -47 96 18 -0.0062
112e No 0.6 0.37 -47 96 24 0.072
112n No 0.6 0.37 -47 96 16 -0.042
113e No 0.57 0.35 -47 96 22 0.15
113n No 0.57 0.35 -47 96 21 0.12
114e No 0.57 0.36 -47 96 20 0.19
114n No 0.57 0.36 -47 96 20 0.06
115e No 0.56 0.37 -47 96 19 0.1
115n No 0.55 0.37 -47 96 13 0.14
116e No 0.58 0.38 -47 96 11 0.2
116n No 0.58 0.38 -47 96 15 0.13
117e No 0.59 0.39 -47 96 16 0.23
117n No 0.6 0.39 -47 96 17 0.044
118e No 0.61 0.39 -47 96 21 0.097
118n No 0.61 0.39 -47 96 43 -0.029
119e No 0.61 0.38 -47 96 27 -0.014
119n No 0.61 0.38 -47 96 26 -0.037
120e No 0.61 0.37 -47 96 29 -0.047
120n No 0.6 0.37 -47 96 49 -0.045
121e No 0.61 0.37 -47 96 15 0.1
121n No 0.62 0.37 -47 96 17 -0.082
122e No 0.62 0.37 -47 96 18 -0.0058
122n No 0.61 0.37 -47 96 17 -0.033
123e No 0.61 0.37 -47 96 16 0.0014
123n No 0.62 0.37 -47 96 18 -0.086
124e No 0.62 0.38 -47 96 14 0.092
124n No 0.63 0.38 -47 96 16 0.096
125e No 0.61 0.37 -47 96 22 0.1
125n No 0.61 0.37 -47 96 17 0.018
126e No 0.61 0.37 -47 96 18 0.027
126n No 0.62 0.37 -47 96 17 -0.11
127e No 0.61 0.37 -47 96 13 0.083
127n No 0.61 0.37 -47 96 14 0.011
128e No 0.61 0.37 -47 96 19 0.083
128n No 0.61 0.37 -47 96 8.6 0.11
129e No 0.61 0.37 -47 96 18 0.099
129n No 0.61 0.37 -47 96 18 -0.0025
130e No 0.61 0.37 -47 96 23 0.062
130n No 0.61 0.37 -47 96 18 0.07
131e No 0.57 0.36 -47 96 14 0.17
131n No 0.58 0.36 -47 96 14 0.15
132e No 0.58 0.36 -47 96 20 0.13
132n No 0.58 0.36 -47 96 18 0.085
133e No 0.57 0.37 -47 96 18 0.12
133n No 0.58 0.37 -47 96 19 0.086
134e No 0.57 0.38 -47 96 30 0.047
134n No 0.56 0.38 -47 96 18 0.14
135e No 0.043 0.43 -47 96 7.3 2.2
135n No 0.58 0.43 -47 96 18 0.045
136e No 0.59 0.38 -47 96 20 0.022
136n No 0.58 0.38 -47 96 16 0.27
137e No 0.6 0.38 -47 96 17 0.13
137n No 0.6 0.38 -47 96 34 0.00094
138e No 0.61 0.38 -47 96 21 0.056
138n No 0.61 0.38 -47 96 18 0.04
139e No 0.59 0.36 -47 96 31 0.068
139n No 0.6 0.36 -47 96 28 0.041
140e No 0.6 0.35 -47 96 18 0.063
140n No 0.6 0.35 -47 96 20 0.038
141e No 0.61 0.36 -47 96 18 0.061
141n No 0.61 0.36 -47 96 19 0.0038
142e No 0.6 0.36 -47 96 20 0.15
142n No 0.58 0.36 -47 96 15 1.5
143e No 0.62 0.37 -47 96 25 0.064
143n No 0.62 0.37 -47 96 28 0.013
144e No 0.62 0.37 -47 96 16 0.056
144n No 0.62 0.37 -47 96 13 -0.0035
145e No 0.62 0.37 -47 96 18 0.038
145n No 0.62 0.37 -47 96 23 0.023
146e No 0.59 0.36 -47 96 20 0.19
146n No 0.58 0.36 -47 96 15 0.16
147e No 0.62 0.37 -47 96 18 0.09
147n No 0.62 0.37 -47 96 18 0.013
148e No 0.61 0.37 -47 96 21 0.16
148n No 0.61 0.37 -47 96 20 0.048
149e No 0.61 0.38 -47 96 18 0.11
149n No 0.62 0.38 -47 96 19 0.0071
150e No 0.61 0.38 -47 96 22 0.037
150n No 0.62 0.38 -47 96 18 0.026
151e Yes -47 1.5E+03 0 0
151n Yes -47 1.5E+03 0 0
152e No 0.56 0.36 -47 96 18 0.13
152n No 0.57 0.36 -47 96 19 0.084
153e No 0.56 0.36 -47 96 17 0.15
153n No 0.57 0.36 -47 96 18 0.16
154e No 0.55 0.37 -47 96 18 0.15
154n No 0.56 0.37 -47 96 18 0.082
155e No 0.58 0.38 -47 96 17 0.084
155n No 0.58 0.38 -47 96 21 0.014
156e No 0.3 0.12 -47 96 16 0.6
156n No 0.27 0.12 -47 96 12 0.91
157e No 0.59 0.37 -47 96 17 0.056
157n No 0.6 0.37 -47 96 18 0.028
158e No 0.6 0.38 -47 96 16 0.16
158n No 0.61 0.38 -47 96 18 0.036
159e No 0.51 0.36 -47 96 8.2 0.26
159n No 0.58 0.36 -47 96 20 0.11
160e No 0.6 0.37 -47 96 17 0.054
160n No 0.62 0.37 -47 96 18 0.025
161e No 0.6 0.35 -47 96 20 0.18
161n No 0.45 0.35 -47 96 13 1.1
162e No 0.61 0.37 -47 96 19 0.13
162n No 0.62 0.37 -47 96 9.7 0.067
163e No 0.62 0.37 -47 96 9.8 0.027
163n No 0.62 0.37 -47 96 18 -0.024
164e No 0.62 0.37 -47 96 12 0.12
164n No 0.62 0.37 -47 96 13 -0.015
165e No 0.61 0.37 -47 96 13 0.022
165n No 0.61 0.37 -47 96 9.2 -0.021
166e No 0.6 0.35 -47 96 25 0.028
166n No 0.61 0.35 -47 96 31 -0.039
167e No 0.63 0.38 -47 96 17 0.048
167n No 0.62 0.38 -47 96 43 -0.018
168e No 0.62 0.38 -47 96 24 0.068
168n No 0.63 0.38 -47 96 19 -0.0017
169e No 0.62 0.38 -47 96 13 0.082
169n No 0.62 0.38 -47 96 16 0.013
170e No 0.041 0.36 -47 96 0.61 0.48
170n No 0.54 0.36 -47 96 34 0.058
171e Yes -47 1.5E+03 0 0
171n Yes -47 1.5E+03 0 0
172e Yes -47 1.5E+03 0 0
172n Yes -47 1.5E+03 0 0
173e No 0.57 0.37 -47 96 17 0.16
173n No 0.57 0.37 -47 96 18 0.15
174e No 0.56 0.38 -47 96 20 0.15
174n No 0.57 0.38 -47 96 32 0.00046
175e No 0.54 0.38 -47 96 16 0.19
175n No 0.55 0.38 -47 96 25 0.09
176e No 0.57 0.38 -47 96 47 -0.023
176n No 0.59 0.38 -47 96 16 -0.016
177e No 0.59 0.38 -47 96 13 0.053
177n No 0.6 0.38 -47 96 16 -0.02
178e No 0.6 0.38 -47 96 20 0.13
178n No 0.6 0.38 -47 96 27 -0.053
179e No 0.6 0.37 -47 96 17 0.15
179n No 0.61 0.37 -47 96 19 0.063
180e No 0.61 0.37 -47 96 18 0.14
180n No 0.48 0.37 -47 96 15 0.83
181e No 0.62 0.38 -47 96 20 0.064
181n No 0.61 0.38 -47 96 19 0.062
182e No 0.61 0.38 -47 96 13 0.2
182n No 0.62 0.38 -47 96 15 -0.0081
183e No 0.62 0.37 -47 96 29 0.026
183n No 0.62 0.37 -47 96 38 -0.0063
184e No 0.57 0.38 -47 96 2.9 0.22
184n No 0.62 0.38 -47 96 14 0.074
185e No 0.61 0.37 -47 96 12 0.21
185n No 0.62 0.37 -47 96 14 0.085
186e No 0.61 0.37 -47 96 32 0.029
186n No 0.61 0.37 -47 96 21 -0.0042
187e No 0.62 0.37 -47 96 20 0.12
187n No 0.61 0.37 -47 96 10 0.082
188e No 0.59 0.36 -47 96 21 0.11
188n No 0.59 0.36 -47 96 37 0.048
189e No 0.6 0.36 -47 96 18 0.097
189n No 0.6 0.36 -47 96 22 -0.03
190e No 0.62 0.38 -47 96 18 0.12
190n No 0.62 0.38 -47 96 17 0.025
191e No 0.61 0.38 -47 96 20 0.085
191n No 0.62 0.38 -47 96 30 0.087
192e No 0.57 0.37 -47 96 22 0.13
192n No 0.59 0.37 -47 96 28 0.038
193e No 0.56 0.36 -47 96 18 0.2
193n No 0.56 0.36 -47 96 15 0.13
194e No 0.58 0.38 -47 96 33 0.0024
194n No 0.57 0.38 -47 96 27 -0.0041
195e No 0.56 0.39 -47 96 23 0.087
195n No 0.56 0.39 -47 96 23 0.082
196e No 0.036 0.43 -47 96 3.1 0.49
196n No 0.57 0.43 -47 96 20 0.032
197e No 0.55 0.35 -47 96 15 0.21
197n No 0.54 0.35 -47 96 19 0.22
198e No 0.6 0.38 -47 96 29 0.05
198n No 0.6 0.38 -47 96 35 -0.027
200e No 0.044 0.46 -47 96 3 0.49
200n No 0.59 0.46 -47 96 27 0.032
201e No 0.59 0.37 -47 96 54 0.0083
201n No 0.61 0.37 -47 96 44 -0.025
202e No 0.6 0.36 -47 96 33 0.1
202n No 0.59 0.36 -47 96 19 0.1
203e No 0.6 0.35 -47 96 19 0.1
203n No 0.6 0.35 -47 96 18 -0.00086
204e No 0.61 0.37 -47 96 12 -0.2
204n No 0.61 0.37 -47 96 15 -0.37
205e No 0.6 0.37 -47 96 21 0.093
205n No 0.61 0.37 -47 96 19 0.026
206e No 0.59 0.35 -47 96 29 0.095
206n No 0.58 0.35 -47 96 18 0.053
207e No 0.58 0.44 -47 96 25 0.14
207n No 0.042 0.44 -47 96 2.9 0.52
208e No 0.56 0.36 -47 96 17 0.12
208n No 0.58 0.36 -47 96 39 0.14
209e No 0.58 0.36 -47 96 26 0.086
209n No 0.45 0.36 -47 96 24 0.78
210e No 0.6 0.38 -47 96 22 -0.23
210n No 0.6 0.38 -47 96 15 -0.07
211e No 0.58 0.37 -47 96 29 0.1
211n No 0.58 0.37 -47 96 21 0.076
212e No 0.57 0.37 -47 96 26 0.11
212n No 0.54 0.37 -47 96 13 0.14
213e No 0.55 0.38 -47 96 17 0.23
213n No 0.57 0.38 -47 96 19 0.041
214e No 0.56 0.38 -47 96 23 0.15
214n No 0.55 0.38 -47 96 20 0.12
215e No 0.58 0.38 -47 96 36 0.068
215n No 0.55 0.38 -47 96 17 0.26
216e No 0.58 0.38 -47 96 20 0.13
216n No 0.57 0.38 -47 96 13 0.18
217e No 0.58 0.37 -47 96 27 0.16
217n No 0.58 0.37 -47 96 18 0.11
218e No 0.58 0.45 -47 96 29 0.076
218n No 0.22 0.45 -47 96 0.66 0.29
219e No 0.59 0.37 -47 96 22 0.061
219n No 0.59 0.37 -47 96 18 0.035
220e No 0.59 0.36 -47 96 20 0.15
220n No 0.59 0.36 -47 96 18 0.053
221e No 0.59 0.35 -47 96 18 0.17
221n No 0.59 0.35 -47 96 18 0.15
222e No 0.58 0.37 -47 96 18 0.21
222n No 0.61 0.37 -47 96 27 0.046
223e No 0.58 0.35 -47 96 18 0.12
223n No 0.59 0.35 -47 96 19 0.033
224e No 0.59 0.37 -47 96 23 0.14
224n No 0.6 0.37 -47 96 22 0.077
225e No 0.6 0.37 -47 96 25 0.11
225n No 0.59 0.37 -47 96 22 0.034
226e No 0.59 0.36 -47 96 25 0.053
226n No 0.52 0.36 -47 96 32 0.47
227e No 0.58 0.37 -47 96 20 0.12
227n No 0.57 0.37 -47 96 15 0.1
228e No 0.56 0.36 -47 96 19 0.19
228n No 0.57 0.36 -47 96 18 0.11
229e No 0.57 0.36 -47 96 18 0.2
229n No 0.57 0.36 -47 96 18 0.063
231e No 0.57 0.38 -47 96 39 0.014
231n No 0.57 0.38 -47 96 31 -0.021
232e No 0.56 0.39 -47 96 48 0.0012
232n No 0.54 0.39 -47 96 14 0.13
233e No 0.55 0.36 -47 96 18 0.13
233n No 0.46 0.36 -47 96 30 0.67
234e No 0.58 0.38 -47 96 28 0.13
234n No 0.53 0.38 -47 96 9.1 0.21
237e No 0.57 0.36 -47 96 18 0.18
237n No 0.59 0.36 -47 96 20 0.098
238e No 0.59 0.36 -47 96 27 0.089
238n No 0.59 0.36 -47 96 19 0.12
239e No 0.59 0.36 -47 96 23 0.1
239n No 0.6 0.36 -47 96 29 0.028
240e No 0.58 0.36 -47 96 19 0.15
240n No 0.58 0.36 -47 96 19 0.13
241e No 0.59 0.37 -47 96 19 0.09
241n No 0.59 0.37 -47 96 18 0.057
242e No 0.59 0.46 -47 96 26 0.053
242n No 0.052 0.46 -47 96 2.9 0.55
243e No 0.59 0.37 -47 96 36 0.095
243n No 0.58 0.37 -47 96 19 0.068
244e No 0.57 0.36 -47 96 18 0.097
244n No 0.57 0.36 -47 96 18 0.098
245e No 0.59 0.38 -47 96 28 0.1
245n No 0.58 0.38 -47 96 21 0.13
246e No 0.56 0.37 -47 96 19 0.28
246n No 0.57 0.37 -47 96 26 0.1
250e No 0.56 0.36 -47 96 23 0.14
250n No 0.56 0.36 -47 96 21 0.11
251e No 0.061 0.089 -47 96 5.3 0.59
251n No 0.21 0.089 -47 96 23 0.11
252e No 0.56 0.36 -47 96 18 0.17
252n No 0.56 0.36 -47 96 18 0.095
253e No 0.56 0.36 -47 96 16 0.2
253n No 0.55 0.36 -47 96 11 0.2
254e No 0.59 0.37 -47 96 35 0.078
254n No 0.59 0.37 -47 96 26 0.1
255e No 0.57 0.37 -47 96 15 0.23
255n No 0.58 0.37 -47 96 20 0.11
256e No 0.57 0.36 -47 96 26 0.15
256n No 0.55 0.36 -47 96 12 0.16
257e No 0.54 0.37 -47 96 36 0.32
257n No 0.59 0.37 -47 96 26 -0.022
261e No 0.52 0.33 -47 96 11 0.22
261n No 0.52 0.33 -47 96 9.8 0.19
262e No 0.59 0.38 -47 96 15 -0.13
262n No 0.59 0.38 -47 96 22 -0.32
266e No 0.58 0.38 -47 96 9.8 -0.21
266n No 0.59 0.38 -47 96 14 -0.38
267e No 0.54 0.36 -47 96 14 0.13
267n No 0.56 0.36 -47 96 16 0.045
268e No 0.53 0.38 -47 96 11 0.22
268n No 0.57 0.38 -47 96 20 0.073
269e No 0.57 0.37 -47 96 21 0.11
269n No 0.53 0.37 -47 96 11 0.16
270e No 0.57 0.36 -47 96 25 0.14
270n No 0.57 0.36 -47 96 24 0.082
271e No 0.041 0.48 -47 96 3.1 0.47
271n No 0.57 0.48 -47 96 19 0.037
272e No 0.55 0.36 -47 96 19 0.25
272n No 0.56 0.36 -47 96 27 0.09
273e No 0.2 -0.32 -47 96 78 -0.061
273n No 0.21 -0.32 -47 96 29 0.04
277e No 0.4 0.37 -47 96 11 0.84
277n No 0.58 0.37 -47 96 25 0.083
278e No 0.27 0.38 -47 96 3.9 0.45
278n No 0.5 0.38 -47 96 6.7 0.22
281e No 0.55 0.36 -47 96 18 0.2
281n No 0.56 0.36 -47 96 17 0.089
282e No 0.57 0.38 -47 96 19 0.15
282n No 0.57 0.38 -47 96 35 -0.01
283e No 0.57 0.37 -47 96 23 0.068
283n No 0.54 0.37 -47 96 12 0.0079
284e No 0.59 0.38 -47 96 36 0.041
284n No 0.58 0.38 -47 96 38 -0.0057
285e No 0.045 0.0024 -47 96 3.1 0.5
285n No 0.047 0.0024 -47 96 2.7 0.54
286e No 0.21 -0.33 -47 96 32 0.072
286n No 0.2 -0.33 -47 19 78 -0.064
287e No 0.57 0.34 -47 96 41 0.035
287n No 0.22 0.34 -47 96 28 -0.026
290e No 0.52 0.35 -47 96 75 -0.032
290n No 0.52 0.35 -47 96 74 -0.05
291e No 0.55 0.47 -47 96 71 -0.039
291n No 0.054 0.47 -47 96 0.57 -0.11
292e No 0.56 0.39 -47 96 17 0.17
292n No 0.57 0.39 -47 96 37 0.028
293e No 0.41 0.38 -47 96 23 0.78
293n No 0.55 0.38 -47 96 16 0.097
294e No 0.48 0.38 -47 96 23 0.51
294n No 0.54 0.38 -47 96 23 0.0027
295e No 0.57 0.46 -47 96 4.7 -0.33
295n No 0.039 0.46 -47 96 0.75 -0.0078
299e No 0.56 0.38 -47 96 25 0.14
299n No 0.54 0.38 -47 96 16 0.082
300e No 0.57 0.38 -47 96 27 0.037
300n No 0.41 0.38 -47 96 22 0.86
301e No 0.56 0.38 -47 96 31 0.058
301n No 0.52 0.38 -47 96 13 0.092
302e No 0.43 0.41 -47 96 5.6 0.33
302n No 0.56 0.41 -47 96 22 0.048
306e No 0.54 0.37 -47 96 14 0.15
306n No 0.41 0.37 -47 96 19 0.77
307e No 0.38 0.37 -47 96 17 0.85
307n No 0.53 0.37 -47 96 18 0.029
311e No 0.54 0.4 -47 96 16 0.18
311n No 0.27 0.4 -47 96 4.2 0.7
312e No 0.19 -0.21 -47 96 18 0.81
312n No 0.17 -0.21 -47 96 7.6 0.22
313e No 0.4 0.37 -47 96 10 0.83
313n No 0.55 0.37 -47 96 43 -0.0048
314e No 0.56 0.46 -47 96 39 0.058
314n No 0.043 0.46 -47 96 3.2 0.52
315e No 0.55 0.38 -47 96 20 0.094
315n No 0.53 0.38 -47 96 20 0.14
316e No 0.53 0.37 -47 96 14 0.18
316n No 0.55 0.37 -47 96 24 0.022
317e No 0.55 0.38 -47 96 30 0.031
317n No 0.53 0.38 -47 96 14 0.12
318e No 0.55 0.4 -47 96 64 -0.072
318n No 0.53 0.4 -47 96 78 -0.086
319e No 0.56 0.39 -47 96 24 0.084
319n No 0.56 0.39 -47 96 30 0.032
320e No 0.05 0.0042 -47 96 1.5 0.58
320n No 0.046 0.0042 -47 96 1.5 0.5
321e No 0.38 0.32 -47 96 5.3 0.14
321n No 0.44 0.32 -47 96 6.9 -0.048
322e No 0.036 0.0032 -47 96 3.2 0.47
322n No 0.031 0.0032 -47 96 3 0.51
323e No 0.039 0.0022 -47 96 3 0.52
323n No 0.035 0.0022 -47 96 3 0.53
324e No 0.49 0.36 -47 96 29 0.066
324n No 0.49 0.36 -47 96 31 -0.016
325e No 0.52 0.39 -47 96 27 0.076
325n No 0.52 0.39 -47 96 21 0.048
326e No 0.041 -0.00074 -47 96 3.3 0.48
326n No 0.041 -0.00074 -47 96 3 0.49
327e No 0.49 0.34 -47 96 30 0.085
327n No 0.5 0.34 -47 96 30 -0.008
328e No 0.044 0.39 -47 96 3.2 0.47
328n No 0.5 0.39 -47 96 21 0.014
329e No 0.36 0.25 -47 96 11 0.84
329n No 0.04 0.25 -47 96 2.6 0.5
331e No 0.36 0.24 -47 96 18 0.99
331n No 0.38 0.24 -47 96 13 0.87
332e No 0.49 0.37 -47 96 25 0.17
332n No 0.47 0.37 -47 96 11 0.051
333e No 0.43 0.36 -47 96 8.8 0.19
333n No 0.48 0.36 -47 96 14 -0.013
336e No 0.13 -0.33 -47 96 50 -0.0084
336n No 0.13 -0.33 -47 96 21 0.13
339e Yes -47 1.5E+03 0 0
339n Yes -47 1.5E+03 0 0
340e No 0.5 0.37 -47 96 26 -0.067
340n No 0.5 0.37 -47 96 19 -0.12
342e No 0.51 0.38 -47 96 15 0.21
342n No 0.53 0.38 -47 96 27 0.047
343e No 0.05 0.41 -47 96 3.2 0.5
343n No 0.5 0.41 -47 96 73 -0.054
344e No 0.034 0.004 -47 96 3 0.5
344n No 0.037 0.004 -47 96 2.7 0.52
345e Yes -47 1.5E+03 0 0
345n Yes -47 1.5E+03 0 0
346e No 0.36 0.27 -47 96 5.2 0.36
346n No 0.17 0.27 -47 96 2.9 0.47
347e No 0.033 0.0025 -47 96 3 0.47
347n No 0.035 0.0025 -47 96 2.7 0.49
348e No 0.039 0.085 -47 96 3.3 0.53
348n No 0.13 0.085 -47 96 3 0.5
349e No 0.5 0.39 -47 96 53 -0.069
349n No 0.48 0.39 -47 96 71 -0.086
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/data1/2461087/zen.2461087.45941.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 4.24 minutes.