def test_against_hor2eq(self):
"""Check for consistent results with an IDL hor2eq example.
See EXAMPLE input and output here:
http://idlastro.gsfc.nasa.gov/ftp/pro/astro/hor2eq.pro
Observatory position for ``kpno`` from here:
http://idlastro.gsfc.nasa.gov/ftp/pro/astro/observatory.pro
"""
# IDL hor2eq
ra_expected = np.radians(3.30875)
dec_expected = np.radians(15.183416666666666)
# Astropy 1.0rc1
ra_astropy = np.radians(3.3094193224314625)
dec_astropy = np.radians(15.183757021354532)
# KPNO observatory
longitude = -111.6
latitude = 31.9633
# Observation time
jd = 2466879.7083333
# Altitude Azimuth
altitude = (37, 54, 41)
azi = (264, 55, 6)
# lst = clock.gmst_to_lst(clock.juliandate_to_gmst(jd), longitude)
# Matches LAST = +03 53 53.6 in the hor2eq.pro
# SAPPHiRE
utc = calendar.timegm(clock.juliandate_to_utc(jd).utctimetuple())
gps = clock.utc_to_gps(utc)
zenith, azimuth = celestial.horizontal_to_zenithazimuth(
np.radians(base.sexagesimal_to_decimal(*altitude)),
np.radians(base.sexagesimal_to_decimal(*azi)))
ra, dec = celestial.zenithazimuth_to_equatorial(latitude, longitude,
gps, zenith, azimuth)
# Test eq_to_zenaz merely against IDL
zencalc, azcalc = celestial.equatorial_to_zenithazimuth(
latitude, longitude, gps, ra_expected, dec_expected)
self.assertAlmostEqual(ra, ra_expected, 1)
self.assertAlmostEqual(ra, ra_astropy, 1)
self.assertAlmostEqual(dec, dec_expected, 2)
self.assertAlmostEqual(dec, dec_astropy, 2)
self.assertAlmostEqual(zencalc, zenith, 1)
self.assertAlmostEqual(azcalc, azimuth, 2)
def test_against_hor2eq(self):
"""Check for consistent results with an IDL hor2eq example.
See EXAMPLE input and output here:
http://idlastro.gsfc.nasa.gov/ftp/pro/astro/hor2eq.pro
Observatory position for ``kpno`` from here:
http://idlastro.gsfc.nasa.gov/ftp/pro/astro/observatory.pro
"""
# IDL hor2eq
ra_expected = np.radians(3.30875)
dec_expected = np.radians(15.183416666666666)
# Astropy 1.0rc1
ra_astropy = np.radians(3.3094193224314625)
dec_astropy = np.radians(15.183757021354532)
# KPNO observatory
longitude = -111.6
latitude = 31.9633
# Observation time
jd = 2466879.7083333
# Altitude Azimuth
altitude = (37, 54, 41)
azi = (264, 55, 6)
# lst = clock.gmst_to_lst(clock.juliandate_to_gmst(jd), longitude)
# Matches LAST = +03 53 53.6 in the hor2eq.pro
# SAPPHiRE
utc = calendar.timegm(clock.juliandate_to_utc(jd).utctimetuple())
gps = clock.utc_to_gps(utc)
zenith, azimuth = celestial.horizontal_to_zenithazimuth(
np.radians(base.sexagesimal_to_decimal(*altitude)),
np.radians(base.sexagesimal_to_decimal(*azi)))
ra, dec = celestial.zenithazimuth_to_equatorial(
latitude, longitude, gps, zenith, azimuth)
# Test eq_to_zenaz merely against IDL
zencalc, azcalc = celestial.equatorial_to_zenithazimuth(
latitude, longitude, gps, ra_expected, dec_expected)
self.assertAlmostEqual(ra, ra_expected, 1)
self.assertAlmostEqual(ra, ra_astropy, 1)
self.assertAlmostEqual(dec, dec_expected, 2)
self.assertAlmostEqual(dec, dec_astropy, 2)
self.assertAlmostEqual(zencalc, zenith, 1)
self.assertAlmostEqual(azcalc, azimuth, 2)
def test_against_jpl_horizons(self):
"""Check for consistent results with the JPL Horizons example.
The input parameters and reference results are taken from this page:
(from the first row of the Results table at the bottom of that page)
http://ssd.jpl.nasa.gov/?horizons_tutorial
"""
# NASA JPL
ra_expected = np.radians(291.229208333)
dec_expected = np.radians(-40.9413611111)
# Astropy 1.0rc1
ra_astropy = np.radians(291.229161499)
dec_astropy = np.radians(-40.9413052259)
# Data
# Kitt Peak
longitude = 248.405300
latitude = 31.9585
utc = datetime.datetime(1998, 7, 28, 3, 0)
altitude = np.radians(2.6223)
azi = np.radians(143.2970)
# SAPPHiRE
gps = clock.utc_to_gps(calendar.timegm(utc.utctimetuple()))
zenith, azimuth = celestial.horizontal_to_zenithazimuth(altitude, azi)
ra, dec = celestial.zenithazimuth_to_equatorial(latitude, longitude,
gps, zenith, azimuth)
zencalc, azcalc = celestial.equatorial_to_zenithazimuth(latitude,
longitude, gps,
ra_expected,
dec_expected)
self.assertAlmostEqual(ra, ra_expected, 3)
self.assertAlmostEqual(ra, ra_astropy, 3)
self.assertAlmostEqual(dec, dec_expected, 2)
self.assertAlmostEqual(dec, dec_astropy, 2)
self.assertAlmostEqual(zencalc, zenith, 2)
self.assertAlmostEqual(azcalc, azimuth, 2)
def test_against_pyephem(self):
"""Check for consistent results with one PyEphem example.
PyEphem: http://rhodesmill.org/pyephem/
See example input and output here:
https://gist.github.com/zonca/1672906
https://github.com/phn/pytpm/issues/2#issuecomment-3698679
"""
# PyEphem
ra_expected = np.radians(196.497518)
dec_expected = np.radians(-4.569323)
# Astropy 1.0rc1
ra_astropy = np.radians(196.49537283)
dec_astropy = np.radians(-4.5606942763)
# Data
longitude = base.sexagesimal_to_decimal(-109, -24, -53.1)
latitude = base.sexagesimal_to_decimal(33, 41, 46.0)
utc = datetime.datetime(2011, 9, 18, 8, 50)
altitude = np.radians(-60.7665)
azi = np.radians(6.8927)
# SAPPHiRE
gps = clock.utc_to_gps(calendar.timegm(utc.utctimetuple()))
zenith, azimuth = celestial.horizontal_to_zenithazimuth(altitude, azi)
ra, dec = celestial.zenithazimuth_to_equatorial(
latitude, longitude, gps, zenith, azimuth)
zencalc, azcalc = celestial.equatorial_to_zenithazimuth(
latitude, longitude, gps, ra_expected, dec_expected)
self.assertAlmostEqual(ra, ra_expected, 2)
self.assertAlmostEqual(ra, ra_astropy, 2)
self.assertAlmostEqual(dec, dec_expected, 2)
self.assertAlmostEqual(dec, dec_astropy, 2)
self.assertAlmostEqual(zencalc, zenith, 2)
self.assertAlmostEqual(azcalc, azimuth, 2)
def test_against_pyephem(self):
"""Check for consistent results with one PyEphem example.
PyEphem: http://rhodesmill.org/pyephem/
See example input and output here:
https://gist.github.com/zonca/1672906
https://github.com/phn/pytpm/issues/2#issuecomment-3698679
"""
# PyEphem
ra_expected = np.radians(196.497518)
dec_expected = np.radians(-4.569323)
# Astropy 1.0rc1
ra_astropy = np.radians(196.49537283)
dec_astropy = np.radians(-4.5606942763)
# Data
longitude = base.sexagesimal_to_decimal(-109, -24, -53.1)
latitude = base.sexagesimal_to_decimal(33, 41, 46.0)
utc = datetime.datetime(2011, 9, 18, 8, 50)
altitude = np.radians(-60.7665)
azi = np.radians(6.8927)
# SAPPHiRE
gps = clock.utc_to_gps(calendar.timegm(utc.utctimetuple()))
zenith, azimuth = celestial.horizontal_to_zenithazimuth(altitude, azi)
ra, dec = celestial.zenithazimuth_to_equatorial(
latitude, longitude, gps, zenith, azimuth)
zencalc, azcalc = celestial.equatorial_to_zenithazimuth(
latitude, longitude, gps, ra_expected, dec_expected)
self.assertAlmostEqual(ra, ra_expected, 2)
self.assertAlmostEqual(ra, ra_astropy, 2)
self.assertAlmostEqual(dec, dec_expected, 2)
self.assertAlmostEqual(dec, dec_astropy, 2)
self.assertAlmostEqual(zencalc, zenith, 2)
self.assertAlmostEqual(azcalc, azimuth, 2)
def test_against_jpl_horizons(self):
"""Check for consistent results with the JPL Horizons example.
The input parameters and reference results are taken from this page:
(from the first row of the Results table at the bottom of that page)
http://ssd.jpl.nasa.gov/?horizons_tutorial
"""
# NASA JPL
ra_expected = np.radians(291.229208333)
dec_expected = np.radians(-40.9413611111)
# Astropy 1.0rc1
ra_astropy = np.radians(291.229161499)
dec_astropy = np.radians(-40.9413052259)
# Data
# Kitt Peak
longitude = 248.405300
latitude = 31.9585
utc = datetime.datetime(1998, 7, 28, 3, 0)
altitude = np.radians(2.6223)
azi = np.radians(143.2970)
# SAPPHiRE
gps = clock.utc_to_gps(calendar.timegm(utc.utctimetuple()))
zenith, azimuth = celestial.horizontal_to_zenithazimuth(altitude, azi)
ra, dec = celestial.zenithazimuth_to_equatorial(
latitude, longitude, gps, zenith, azimuth)
zencalc, azcalc = celestial.equatorial_to_zenithazimuth(
latitude, longitude, gps, ra_expected, dec_expected)
self.assertAlmostEqual(ra, ra_expected, 3)
self.assertAlmostEqual(ra, ra_astropy, 3)
self.assertAlmostEqual(dec, dec_expected, 2)
self.assertAlmostEqual(dec, dec_astropy, 2)
self.assertAlmostEqual(zencalc, zenith, 2)
self.assertAlmostEqual(azcalc, azimuth, 2)
def oldvsnew_diagram():
"""
Visual accuracy comparisons of old and new transformations.
Compares the correlations between the transformations:
equatorial_to_horizontal and equatorial_to_zenith_azimuth_astropy
horizontal_to_equatorial and horizontal_to_zenith_azimuth_astropy
Makes a histogram of the error differences
between these two functions as well.
The errors seem to be in the order of 1000 arcsec
:return: None
Ethan van Woerkom is responsible for the benchmarking functions;
refer to him for when something is unclear
"""
# make random frames, in correct angle range and from utc time 2000-2020
frames = []
# boxes for the four different transformation results
etoha = []
etoh = []
htoe = []
htoea = []
straight = lambda x : x # straight trendline function
# Create the data sets for eq to az
for i in range(100):
frames.append((r.uniform(-90, 90),
r.uniform(-180,180),
r.randint(946684800,1577836800),
r.uniform(0, 2 * np.pi),
r.uniform(-0.5 * np.pi, 0.5 * np.pi)))
for i in frames:
etoha.append(celestial.equatorial_to_zenithazimuth_astropy(i[0], i[1], i[2], [(i[3], i[4])])[0])
etoh.append(celestial.equatorial_to_zenithazimuth(i[0], i[1], clock.utc_to_gps(i[2]), i[3], i[4]))
# Data sets for hor to eq
for i in frames:
htoe.append(celestial.horizontal_to_equatorial(i[0],
clock.utc_to_lst(datetime.datetime.utcfromtimestamp(i[2]), i[1]), i[4], i[3]))
htoea.extend(celestial.horizontal_to_equatorial_astropy(i[0], i[1], i[2], [(i[3], i[4])]))
# Make figs eq -> zenaz
plt.figure(1)
plt.suptitle('Zen/Az correlation in rads (equatorial_to_zenithazimuth)')
zenrange = [0, np.pi]
plt.subplot(211)
plt.title('Zenith')
plt.axis(zenrange*2)
plt.xlabel('New (Astropy)')
plt.ylabel('Old')
# Make figure and add 1:1 trendline
plt.plot([co[0] for co in etoha], [co[0] for co in etoh], 'r.', zenrange, straight(zenrange), '-')
plt.subplot(212)
plt.title('Azimuth')
azrange = [-np.pi, np.pi]
plt.axis(azrange*2)
plt.xlabel('New (Astropy)')
plt.ylabel('Old')
# Make figure and add 1:1 trendline
plt.plot([co[1] for co in etoha], [co[1] for co in etoh], 'b.', azrange, straight(azrange), '-')
plt.tight_layout() # Prevent titles merging
plt.subplots_adjust(top=0.85)
# Make histogram of differences
plt.figure(2)
# Take diff. and convert to arcsec
nieuw = (np.array(etoh) - np.array(etoha))
nieuw *= 360 * 3600 / (2 * np.pi)
plt.hist([i[0] for i in nieuw], bins=20)
plt.title('Zenith Old-New Error (equatorial_to_zenithazimuth)')
plt.xlabel('Error (arcsec)')
plt.ylabel('Counts')
plt.figure(3)
plt.hist([i[1] for i in nieuw], bins=20)
plt.title('Azimuth Old-New Error (equatorial_to_zenithazimuth)')
plt.xlabel('Error (arcsec)')
plt.ylabel('Counts')
# Make histogram of differences using the absolute distance in arcsec
# this graph has no wrapping issues
plt.figure(7)
nieuw = np.array([angle_between(etoh[i][0], etoh[i][1], etoha[i][0], etoha[i][1])
for i in range(len(etoh))])
nieuw *= 360 * 3600 / (2 * np.pi)
plt.hist(nieuw, bins=20)
plt.title('ZEN+AZ Old-New Error (equatorial_to_zenithazimuth)')
plt.xlabel('Error (arcsec)')
plt.ylabel('Counts')
# Make figs hor - > eq
plt.figure(4)
plt.suptitle('RA/DEC correlation in rads (horizontal_to_equatorial)')
altrange = [-0.5 * np.pi, 0.5 * np.pi]
plt.subplot(211)
plt.title('Declination')
plt.axis(altrange * 2)
plt.xlabel('New (Astropy)')
plt.ylabel('Old')
# Make figure and add 1:1 trendline
plt.plot([co[1] for co in htoea], [co[1] for co in htoe], 'r.', altrange, straight(altrange), '-')
plt.subplot(212)
plt.title('Right Ascension')
azrange = [0, 2 * np.pi]
plt.axis(azrange * 2)
plt.xlabel('New (Astropy)')
plt.ylabel('Old')
# Make figure and add 1:1 trendline
plt.plot([co[0] for co in htoea], [co[0] for co in htoe], 'b.', azrange, straight(azrange), '-')
plt.tight_layout() # Prevent titles merging
plt.subplots_adjust(top=0.85)
# Make histogram of differences
plt.figure(5)
# Take diff. and convert to arcsec
nieuw = (np.array(htoe) - np.array(htoea))
nieuw *= 360 * 3600 / (2 * np.pi)
plt.hist([i[1] for i in nieuw], bins=20)
plt.title('Declination Old-New Error (horizontal_to_equatorial)')
plt.xlabel('Error (arcsec)')
plt.ylabel('Counts')
plt.figure(6)
# Take diff. and convert to arcsec
nieuw = (np.array(htoe) - np.array(htoea))
nieuw *= 360 * 3600 / (2 * np.pi)
plt.hist([i[0] for i in nieuw], bins=20)
plt.title('Right Ascension Old-New Error (horizontal_to_equatorial)')
plt.xlabel('Error (arcsec)')
plt.ylabel('Counts')
# Make histogram of differences using the absolute distance in arcsec
# this graph has no wrapping issues
plt.figure(8)
nieuw = np.array([angle_between_horizontal(htoe[i][0], htoe[i][1], htoea[i][0], htoea[i][1])
for i in range(len(htoe))])
# Take diff. and convert to arcsec
nieuw /= 2 / np.pi * 360 * 3600
plt.hist(nieuw, bins=20)
plt.title('RA+DEC Old-New Error (horizontal_to_equatorial)')
plt.xlabel('Error (arcsec)')
plt.ylabel('Counts')
plt.show()
return
def oldvsnew_diagram():
"""
Visual accuracy comparisons of old and new transformations.
Compares the correlations between the transformations:
equatorial_to_horizontal and equatorial_to_zenith_azimuth_astropy
horizontal_to_equatorial and horizontal_to_zenith_azimuth_astropy
Makes a histogram of the error differences
between these two functions as well.
The errors seem to be in the order of 1000 arcsec
:return: None
Ethan van Woerkom is responsible for the benchmarking functions;
refer to him for when something is unclear
"""
# make random frames, in correct angle range and from utc time 2000-2020
frames = []
# boxes for the four different transformation results
etoha = []
etoh = []
htoe = []
htoea = []
straight = lambda x: x # straight trendline function
# Create the data sets for eq to az
for i in range(100):
frames.append(
(r.uniform(-90,
90), r.uniform(-180,
180), r.randint(946684800, 1577836800),
r.uniform(0, 2 * np.pi), r.uniform(-0.5 * np.pi, 0.5 * np.pi)))
for i in frames:
etoha.append(
celestial.equatorial_to_zenithazimuth_astropy(
i[0], i[1], i[2], [(i[3], i[4])])[0])
etoh.append(
celestial.equatorial_to_zenithazimuth(i[0], i[1],
clock.utc_to_gps(i[2]), i[3],
i[4]))
# Data sets for hor to eq
for i in frames:
htoe.append(
celestial.horizontal_to_equatorial(
i[0],
clock.utc_to_lst(datetime.datetime.utcfromtimestamp(i[2]),
i[1]), i[4], i[3]))
htoea.extend(
celestial.horizontal_to_equatorial_astropy(i[0], i[1], i[2],
[(i[3], i[4])]))
# Make figs eq -> zenaz
plt.figure(1)
plt.suptitle('Zen/Az correlation in rads (equatorial_to_zenithazimuth)')
zenrange = [0, np.pi]
plt.subplot(211)
plt.title('Zenith')
plt.axis(zenrange * 2)
plt.xlabel('New (Astropy)')
plt.ylabel('Old')
# Make figure and add 1:1 trendline
plt.plot([co[0] for co in etoha], [co[0] for co in etoh], 'r.', zenrange,
straight(zenrange), '-')
plt.subplot(212)
plt.title('Azimuth')
azrange = [-np.pi, np.pi]
plt.axis(azrange * 2)
plt.xlabel('New (Astropy)')
plt.ylabel('Old')
# Make figure and add 1:1 trendline
plt.plot([co[1] for co in etoha], [co[1] for co in etoh], 'b.', azrange,
straight(azrange), '-')
plt.tight_layout() # Prevent titles merging
plt.subplots_adjust(top=0.85)
# Make histogram of differences
plt.figure(2)
# Take diff. and convert to arcsec
nieuw = (np.array(etoh) - np.array(etoha))
nieuw *= 360 * 3600 / (2 * np.pi)
plt.hist([i[0] for i in nieuw], bins=20)
plt.title('Zenith Old-New Error (equatorial_to_zenithazimuth)')
plt.xlabel('Error (arcsec)')
plt.ylabel('Counts')
plt.figure(3)
plt.hist([i[1] for i in nieuw], bins=20)
plt.title('Azimuth Old-New Error (equatorial_to_zenithazimuth)')
plt.xlabel('Error (arcsec)')
plt.ylabel('Counts')
# Make histogram of differences using the absolute distance in arcsec
# this graph has no wrapping issues
plt.figure(7)
nieuw = np.array([
angle_between(etoh[i][0], etoh[i][1], etoha[i][0], etoha[i][1])
for i in range(len(etoh))
])
nieuw *= 360 * 3600 / (2 * np.pi)
plt.hist(nieuw, bins=20)
plt.title('ZEN+AZ Old-New Error (equatorial_to_zenithazimuth)')
plt.xlabel('Error (arcsec)')
plt.ylabel('Counts')
# Make figs hor - > eq
plt.figure(4)
plt.suptitle('RA/DEC correlation in rads (horizontal_to_equatorial)')
altrange = [-0.5 * np.pi, 0.5 * np.pi]
plt.subplot(211)
plt.title('Declination')
plt.axis(altrange * 2)
plt.xlabel('New (Astropy)')
plt.ylabel('Old')
# Make figure and add 1:1 trendline
plt.plot([co[1] for co in htoea], [co[1] for co in htoe], 'r.', altrange,
straight(altrange), '-')
plt.subplot(212)
plt.title('Right Ascension')
azrange = [0, 2 * np.pi]
plt.axis(azrange * 2)
plt.xlabel('New (Astropy)')
plt.ylabel('Old')
# Make figure and add 1:1 trendline
plt.plot([co[0] for co in htoea], [co[0] for co in htoe], 'b.', azrange,
straight(azrange), '-')
plt.tight_layout() # Prevent titles merging
plt.subplots_adjust(top=0.85)
# Make histogram of differences
plt.figure(5)
# Take diff. and convert to arcsec
nieuw = (np.array(htoe) - np.array(htoea))
nieuw *= 360 * 3600 / (2 * np.pi)
plt.hist([i[1] for i in nieuw], bins=20)
plt.title('Declination Old-New Error (horizontal_to_equatorial)')
plt.xlabel('Error (arcsec)')
plt.ylabel('Counts')
plt.figure(6)
# Take diff. and convert to arcsec
nieuw = (np.array(htoe) - np.array(htoea))
nieuw *= 360 * 3600 / (2 * np.pi)
plt.hist([i[0] for i in nieuw], bins=20)
plt.title('Right Ascension Old-New Error (horizontal_to_equatorial)')
plt.xlabel('Error (arcsec)')
plt.ylabel('Counts')
# Make histogram of differences using the absolute distance in arcsec
# this graph has no wrapping issues
plt.figure(8)
nieuw = np.array([
angle_between_horizontal(htoe[i][0], htoe[i][1], htoea[i][0],
htoea[i][1]) for i in range(len(htoe))
])
# Take diff. and convert to arcsec
nieuw = nieuw / 2 / np.pi * 360 * 3600
plt.hist(nieuw, bins=20)
plt.title('RA+DEC Old-New Error (horizontal_to_equatorial)')
plt.xlabel('Error (arcsec)')
plt.ylabel('Counts')
plt.show()
return