def testDeltaT(self):
"""delta_T(ut1): TT - UT1 for the given UT1."""
dt = [7.8, 29.166059415081, 60.705445202903, 53.792092550539,
65.217663154508]
ut1 = [x+tpm.delta_UT(x) for x in self.utc]
for i,j in zip(ut1, dt):
self.assertAlmostEqual(tpm.delta_T(i), j, 12)
def get_tstate():
tstate = tpm.TSTATE()
tpm.tpm_data(tstate, tpm.TPM_INIT)
tstate.utc = tpm.J2000
tstate.lon = tpm.d2r(-111.598333)
tstate.lat = tpm.d2r(31.956389)
tstate.alt = 2093.093
tstate.delta_at = tpm.delta_AT(tstate.utc)
tstate.delta_ut = tpm.delta_UT(tstate.utc)
tpm.tpm_data(tstate, tpm.TPM_ALL)
return tstate
def testTPM(self):
"""tpm.tpm() => coordinate conversion."""
# M100 FK5 J2000 from SIMBAD.
# See pytpm/tests/c_tests/test_conversion.c.
results = [
dict(ra_dd=-175.00, ra_mm=43.0, ra_ss=43.4850, de_dd=15.00, de_mm=49.00, de_ss=20.5700),
dict(ra_dd=-175.00, ra_mm=43.00, ra_ss=42.3616, de_dd=15.00, de_mm=49.00, de_ss=20.4480),
dict(ra_dd=-175.00, ra_mm=43.00, ra_ss=43.4850, de_dd=15.00, de_mm=49.00, de_ss=20.5700),
dict(ra_dd=178.00, ra_mm=46.00, ra_ss=57.2326, de_dd=16.00, de_mm=45.00, de_ss=34.9209),
dict(ra_dd=-89.00, ra_mm=8.00, ra_ss=10.1024, de_dd=76.00, de_mm=53.00, de_ss=55.9283),
dict(ra_dd=-175.00, ra_mm=5.00, ra_ss=44.0262, de_dd=16.00, de_mm=5.00, de_ss=58.0246),
dict(ra_dd=-175.00, ra_mm=43.00, ra_ss=43.4850, de_dd=15.00, de_mm=49.00, de_ss=20.5700),
dict(ra_dd=-175.00, ra_mm=43.00, ra_ss=43.4852, de_dd=15.00, de_mm=49.00, de_ss=20.5699),
dict(ra_dd=-175.00, ra_mm=43.00, ra_ss=43.4819, de_dd=15.00, de_mm=49.00, de_ss=20.5712),
dict(ra_dd=-175.00, ra_mm=43.00, ra_ss=44.9349, de_dd=15.00, de_mm=49.00, de_ss=13.4744),
dict(ra_dd=-175.00, ra_mm=43.00, ra_ss=44.9350, de_dd=15.00, de_mm=49.00, de_ss=13.4743),
dict(ra_dd=-175.00, ra_mm=43.00, ra_ss=30.6891, de_dd=15.00, de_mm=49.00, de_ss=19.5611),
dict(ra_dd=-175.00, ra_mm=43.00, ra_ss=43.4852, de_dd=15.00, de_mm=49.00, de_ss=20.5699),
dict(ra_dd=-175.00, ra_mm=43.00, ra_ss=43.4819, de_dd=15.00, de_mm=49.00, de_ss=20.5712),
dict(ra_dd=-175.00, ra_mm=43.00, ra_ss=45.2053, de_dd=15.00, de_mm=49.00, de_ss=13.4529),
dict(ra_dd=-175.00, ra_mm=43.00, ra_ss=45.2054, de_dd=15.00, de_mm=49.00, de_ss=13.4528),
dict(ra_dd=-175.00, ra_mm=43.00, ra_ss=30.9595, de_dd=15.00, de_mm=49.00, de_ss=19.5396),
dict(ra_dd=-17.00, ra_mm=8.00, ra_ss=52.8721, de_dd=15.00, de_mm=49.00, de_ss=19.5396),
dict(ra_dd=132.00, ra_mm=32.00, ra_ss=57.5676, de_dd=67.00, de_mm=45.00, de_ss=9.6836),
dict(ra_dd=132.00, ra_mm=32.00, ra_ss=57.5676, de_dd=67.00, de_mm=45.00, de_ss=34.3714),
dict(ra_dd=-17.00, ra_mm=9.00, ra_ss=9.5430, de_dd=15.00, de_mm=49.00, de_ss=38.3077),
dict(ra_dd=-17.00, ra_mm=14.00, ra_ss=6.8699, de_dd=-15.00, de_mm=10.00, de_ss=13.0062),
]
ra = tpm.h2r(12 + 22 / 60.0 + 54.899 / 3600.0)
de = tpm.d2r(15 + 49 / 60.0 + 20.57 / 3600.0)
ep = tpm.J2000
eq = tpm.J2000
s1 = tpm.TPM_S06
s2 = tpm.TPM_S00
tstate = tpm.TSTATE()
pvec = tpm.PVEC()
for i in range(tpm.N_TPM_STATES):
tpm.tpm_data(tstate, tpm.TPM_INIT)
tstate.utc = tpm.J2000
tstate.lon = tpm.d2r(-111.598333)
tstate.lat = tpm.d2r(31.956389)
tstate.alt = 2093.093
tstate.delta_ut = tpm.delta_UT(tstate.utc)
tpm.tpm_data(tstate, tpm.TPM_ALL)
v6 = tpm.V6S()
v6.r = 1e9
v6.alpha = ra
v6.delta = de
pvec[s1] = v6.s2c()
s2 = i
tpm.tpm(pvec, s1, s2, ep, eq, tstate)
v6 = pvec[s2].c2s()
ra1 = v6.alpha
de1 = v6.delta
ra_dms = tpm.DMS(r=ra1)
de_dms = tpm.DMS(r=de1)
ra_dms.normalize()
de_dms.normalize()
self.assertAlmostEqual(ra_dms.dd, results[i]["ra_dd"], 4)
self.assertAlmostEqual(ra_dms.mm, results[i]["ra_mm"], 4)
self.assertAlmostEqual(ra_dms.ss, results[i]["ra_ss"], 4)
self.assertAlmostEqual(de_dms.dd, results[i]["de_dd"], 4)
self.assertAlmostEqual(de_dms.mm, results[i]["de_mm"], 4)
self.assertAlmostEqual(de_dms.ss, results[i]["de_ss"], 4)
def testDeltaT(self):
"""delta_T(ut1): TT - UT1 for the given UT1."""
dt = [7.8, 29.166059415081, 60.705445202903, 53.792092550539, 65.217663154508]
ut1 = [x + tpm.delta_UT(x) for x in self.utc]
for i, j in zip(ut1, dt):
self.assertAlmostEqual(tpm.delta_T(i), j, 12)
def testDeltaUT(self):
"""delta_UT(utc): UT1 - UTC for the given UTC."""
dut = [34.384, 13.032937389587, 3.482360655738, 0.392497267760, 0.967397006595]
for i, j in zip(self.utc, dut):
self.assertAlmostEqual(tpm.delta_UT(i), j, 12)
v620 = convert.convertv6(v619, s1=19, s2=20, utc=utc)
cat20 = convert.v62cat(v620, tpm.CJ)
cat20 = cat2array(cat20)
ha = np.degrees(cat20['alpha'])
dec = np.degrees(cat20['delta'])
# Difference in HA and Dec, using TPM and SLALIB.
ha_diff = np.abs(ha[indx] - ha_sla[indx]) * 3600.0
dec_diff = np.abs(dec[indx] - dec_sla[indx]) * 3600.0
# Find RA = LAST - HA.
tstate = tpm.TSTATE()
tpm.tpm_data(tstate, tpm.TPM_INIT)
tstate.utc = utc
tstate.delta_ut = tpm.delta_UT(utc)
tstate.delta_at = tpm.delta_AT(utc)
tstate.lon = tpm.d2r(-111.598333)
tstate.lat = tpm.d2r(31.956389)
tpm.tpm_data(tstate, tpm.TPM_ALL)
last = tpm.r2d(tstate.last)
ra = last - ha
# Have to normalize to 0 - 360.0.
ra = np.array([i if i > 0 else i + 360.0 for i in ra])
ra_diff = np.abs(ra[indx] - ra_sla[indx]) * 3600.0
print("Comparison with SLALIB aop using HIPPARCOS data.")
fs = "{0} {1}\n" + \
"Min: {2:.4f} Max: {3:.4f} \nMean: {4:.4f} Std: {5:.4f}\n"
x = stats.describe(az_diff)
print(fs.format("az_diff", "arcsec", x[1][0], x[1][1], x[2], x[3]**0.5))
v620 = convert.convertv6(v619, s1=19, s2=20, utc=utc)
cat20 = convert.v62cat(v620, tpm.CJ)
cat20 = cat2array(cat20)
ha = np.degrees(cat20['alpha'])
dec = np.degrees(cat20['delta'])
# Difference in HA and Dec, using TPM and SLALIB.
ha_diff = np.abs(ha[indx] - ha_sla[indx]) * 3600.0
dec_diff = np.abs(dec[indx] - dec_sla[indx]) * 3600.0
# Find RA = LAST - HA.
tstate = tpm.TSTATE()
tpm.tpm_data(tstate, tpm.TPM_INIT)
tstate.utc = utc
tstate.delta_ut = tpm.delta_UT(utc)
tstate.delta_at = tpm.delta_AT(utc)
tstate.lon = tpm.d2r(-111.598333)
tstate.lat = tpm.d2r(31.956389)
tpm.tpm_data(tstate, tpm.TPM_ALL)
last = tpm.r2d(tstate.last)
ra = last - ha
# Have to normalize to 0 - 360.0.
ra = np.array([i if i > 0 else i + 360.0 for i in ra])
ra_diff = np.abs(ra[indx] - ra_sla[indx]) * 3600.0
print("Comparison with SLALIB aop using HIPPARCOS data.")
fs = "{0} {1}\n" + \
"Min: {2:.4f} Max: {3:.4f} \nMean: {4:.4f} Std: {5:.4f}\n"
x = stats.describe(az_diff)
print(fs.format("az_diff", "arcsec", x[1][0], x[1][1], x[2], x[3] ** 0.5))
def testTPM(self):
"""tpm.tpm() => coordinate conversion."""
# M100 FK5 J2000 from SIMBAD.
# See pytpm/tests/c_tests/test_conversion.c.
results = [
dict(ra_dd=-175.00, ra_mm=43.0, ra_ss=43.4850,
de_dd=15.00, de_mm=49.00, de_ss=20.5700),
dict(ra_dd=-175.00, ra_mm=43.00, ra_ss=42.3616,
de_dd=15.00, de_mm=49.00, de_ss=20.4480),
dict(ra_dd=-175.00, ra_mm=43.00, ra_ss=43.4850,
de_dd=15.00, de_mm=49.00, de_ss=20.5700),
dict(ra_dd=178.00, ra_mm=46.00, ra_ss=57.2326,
de_dd=16.00, de_mm=45.00, de_ss=34.9209),
dict(ra_dd=-89.00, ra_mm=8.00, ra_ss=10.1024,
de_dd=76.00, de_mm=53.00, de_ss=55.9283),
dict(ra_dd=-175.00, ra_mm=5.00, ra_ss=44.0262,
de_dd=16.00, de_mm=5.00, de_ss=58.0246 ),
dict(ra_dd=-175.00, ra_mm=43.00, ra_ss=43.4850,
de_dd=15.00, de_mm=49.00, de_ss=20.5700 ),
dict(ra_dd=-175.00, ra_mm=43.00, ra_ss=43.4852,
de_dd=15.00, de_mm=49.00, de_ss=20.5699 ),
dict(ra_dd=-175.00, ra_mm=43.00, ra_ss=43.4819,
de_dd=15.00, de_mm=49.00, de_ss=20.5712 ),
dict(ra_dd=-175.00, ra_mm=43.00, ra_ss=44.9349,
de_dd=15.00, de_mm=49.00, de_ss=13.4744 ),
dict(ra_dd=-175.00, ra_mm=43.00, ra_ss=44.9350,
de_dd=15.00, de_mm=49.00, de_ss=13.4743 ),
dict(ra_dd=-175.00, ra_mm=43.00, ra_ss=30.6891,
de_dd=15.00, de_mm=49.00, de_ss=19.5611 ),
dict(ra_dd=-175.00, ra_mm=43.00, ra_ss=43.4852,
de_dd=15.00, de_mm=49.00, de_ss=20.5699 ),
dict(ra_dd=-175.00, ra_mm=43.00, ra_ss=43.4819,
de_dd=15.00, de_mm=49.00, de_ss=20.5712 ),
dict(ra_dd=-175.00, ra_mm=43.00, ra_ss=45.2053,
de_dd=15.00, de_mm=49.00, de_ss=13.4529 ),
dict(ra_dd=-175.00, ra_mm=43.00, ra_ss=45.2054,
de_dd=15.00, de_mm=49.00, de_ss=13.4528 ),
dict(ra_dd=-175.00, ra_mm=43.00, ra_ss=30.9595,
de_dd=15.00, de_mm=49.00, de_ss=19.5396 ),
dict(ra_dd=-17.00, ra_mm=8.00, ra_ss=52.8721,
de_dd=15.00, de_mm=49.00, de_ss=19.5396 ),
dict(ra_dd=132.00, ra_mm=32.00, ra_ss=57.5676,
de_dd=67.00, de_mm=45.00, de_ss=9.6836 ),
dict(ra_dd=132.00, ra_mm=32.00, ra_ss=57.5676,
de_dd=67.00, de_mm=45.00, de_ss=34.3714 ),
dict(ra_dd=-17.00, ra_mm=9.00, ra_ss=9.5430,
de_dd=15.00, de_mm=49.00, de_ss=38.3077 ),
dict(ra_dd=-17.00, ra_mm=14.00, ra_ss=6.8699,
de_dd=-15.00, de_mm=10.00, de_ss=13.0062 )
]
ra = tpm.h2r(12+22/60.0+54.899/3600.0)
de = tpm.d2r(15+49/60.0+20.57/3600.0)
ep = tpm.J2000
eq = tpm.J2000
s1 = tpm.TPM_S06
s2 = tpm.TPM_S00
tstate = tpm.TSTATE()
pvec = tpm.PVEC()
for i in range(tpm.N_TPM_STATES):
tpm.tpm_data(tstate, tpm.TPM_INIT)
tstate.utc = tpm.J2000
tstate.lon = tpm.d2r(-111.598333)
tstate.lat = tpm.d2r(31.956389)
tstate.alt = 2093.093
tstate.delta_ut = tpm.delta_UT(tstate.utc)
tpm.tpm_data(tstate, tpm.TPM_ALL)
v6 = tpm.V6S()
v6.r = 1e9
v6.alpha = ra
v6.delta = de
pvec[s1] = v6.s2c()
s2 = i
tpm.tpm(pvec, s1, s2, ep, eq, tstate)
v6 = pvec[s2].c2s()
ra1 = v6.alpha
de1 = v6.delta
ra_dms = tpm.DMS(r=ra1)
de_dms = tpm.DMS(r=de1)
ra_dms.normalize()
de_dms.normalize()
self.assertAlmostEqual(ra_dms.dd, results[i]['ra_dd'], 4)
self.assertAlmostEqual(ra_dms.mm, results[i]['ra_mm'], 4)
self.assertAlmostEqual(ra_dms.ss, results[i]['ra_ss'], 4)
self.assertAlmostEqual(de_dms.dd, results[i]['de_dd'], 4)
self.assertAlmostEqual(de_dms.mm, results[i]['de_mm'], 4)
self.assertAlmostEqual(de_dms.ss, results[i]['de_ss'], 4)
def testDeltaUT(self):
"""delta_UT(utc): UT1 - UTC for the given UTC."""
dut = [34.384, 13.032937389587, 3.482360655738, 0.392497267760,
0.967397006595]
for i,j in zip(self.utc, dut):
self.assertAlmostEqual(tpm.delta_UT(i), j, 12)
def test_slalib_hip_fk52obs(self):
"""convert(x, s1=6, s2=19) (+ s2=20) + PM => SLALIB sla_aop HIP."""
tab = get_sla("slalib_hip_aop.txt")
az_sla = []
zd_sla = []
ha_sla = []
dec_sla = []
ra_sla = []
for i in tab:
# Convert longitude values to 0 - 360
az_sla.append(i[0] if i[0] >= 0 else i[0] + 360.0)
zd_sla.append(i[1])
ha_sla.append(i[2] if i[2] >= 0 else i[2] + 360.0)
dec_sla.append(i[3])
ra_sla.append(i[4] if i[4] >= 0 else i[4] + 360.0)
v6l = []
for r, d, pa, pd, px in zip(self.hip_tab['raj2'],
self.hip_tab['decj2'], self.hip_tab['pma'],
self.hip_tab['pmd'], self.hip_tab['px']):
r = tpm.d2r(r)
d = tpm.d2r(d)
# Milli-arcsec / Jul. yr to arcsec per Jul. century.
pma = pa / math.cos(d) / 1000.0 * 100.0
pmd = pd / 1000.0 * 100.0
px /= 1000.0 # mili-arcsec to arc-sec.
v6 = tpm.cat2v6(r, d, pma, pmd, px, 0.0, tpm.CJ)
v6l.append(v6)
utc = tpm.gcal2j(2010, 1, 1) - 0.5 # midnight
tt = tpm.utc2tdb(utc)
# Convert to Az-EL.
v6o = convert.proper_motion(v6l, tt, tpm.J2000)
v6o = convert.convertv6(v6o, s1=6, s2=19, utc=utc)
cat = (tpm.v62cat(v, tpm.CJ) for v in v6o)
az = []
zd = []
for i in cat:
az.append(tpm.r2d(i['alpha']))
zd.append(90.0 - tpm.r2d(i['delta']))
# Convert Az-El to HA-Dec.
v6o = convert.convertv6(v6o, s1=19, s2=20, utc=utc)
cat = (tpm.v62cat(v, tpm.CJ) for v in v6o)
# Find LAST.
tstate = tpm.TSTATE()
tpm.tpm_data(tstate, tpm.TPM_INIT)
tstate.utc = utc
tstate.delta_ut = tpm.delta_UT(utc)
tstate.delta_at = tpm.delta_AT(utc)
tstate.lon = tpm.d2r(-111.598333)
tstate.lat = tpm.d2r(31.956389)
tpm.tpm_data(tstate, tpm.TPM_ALL)
last = tpm.r2d(tstate.last)
ha = []
dec = []
ra = []
for i in cat:
ha.append(tpm.r2d(i['alpha']))
dec.append(tpm.r2d(i['delta']))
# RA = LAST - HA and convert to 0 - 360.
x = last - tpm.r2d(i['alpha'])
ra.append(x if x >= 0 else x + 360.0)
for i in range(len(az)):
# Test only the coordinates with ZD < 75.0.
if zd[i] < 75.0:
self.assertTrue(abs(az[i] - az_sla[i]) * 3600.0 <= 0.25)
self.assertTrue(abs(zd[i] - zd_sla[i]) * 3600.0 <= 0.04)
self.assertTrue(abs(ha[i] - ha_sla[i]) * 3600.0 <= 0.28)
self.assertTrue(abs(dec[i] - dec_sla[i]) * 3600.0 <= 0.04)
self.assertTrue(abs(ra[i] - ra_sla[i]) * 3600.0 <= 0.33)
def test_slalib_hip_fk52obs(self):
"""convert(x, s1=6, s2=19) (+ s2=20) + PM => SLALIB sla_aop HIP."""
tab = get_sla("slalib_hip_aop.txt")
az_sla = []
zd_sla = []
ha_sla = []
dec_sla = []
ra_sla = []
for i in tab:
# Convert longitude values to 0 - 360
az_sla.append(i[0] if i[0] >= 0 else i[0] + 360.0)
zd_sla.append(i[1])
ha_sla.append(i[2] if i[2] >= 0 else i[2] + 360.0)
dec_sla.append(i[3])
ra_sla.append(i[4] if i[4] >= 0 else i[4] + 360.0)
v6l = []
for r, d, pa, pd, px in zip(self.hip_tab['raj2'],
self.hip_tab['decj2'],
self.hip_tab['pma'],
self.hip_tab['pmd'],
self.hip_tab['px']):
r = tpm.d2r(r)
d = tpm.d2r(d)
# Milli-arcsec / Jul. yr to arcsec per Jul. century.
pma = pa / math.cos(d) / 1000.0 * 100.0
pmd = pd / 1000.0 * 100.0
px /= 1000.0 # mili-arcsec to arc-sec.
v6 = tpm.cat2v6(r, d, pma, pmd, px, 0.0, tpm.CJ)
v6l.append(v6)
utc = tpm.gcal2j(2010, 1, 1) - 0.5 # midnight
tt = tpm.utc2tdb(utc)
# Convert to Az-EL.
v6o = convert.proper_motion(v6l, tt, tpm.J2000)
v6o = convert.convertv6(v6o, s1=6, s2=19, utc=utc)
cat = (tpm.v62cat(v, tpm.CJ) for v in v6o)
az = []
zd = []
for i in cat:
az.append(tpm.r2d(i['alpha']))
zd.append(90.0 - tpm.r2d(i['delta']))
# Convert Az-El to HA-Dec.
v6o = convert.convertv6(v6o, s1=19, s2=20, utc=utc)
cat = (tpm.v62cat(v, tpm.CJ) for v in v6o)
# Find LAST.
tstate = tpm.TSTATE()
tpm.tpm_data(tstate, tpm.TPM_INIT)
tstate.utc = utc
tstate.delta_ut = tpm.delta_UT(utc)
tstate.delta_at = tpm.delta_AT(utc)
tstate.lon = tpm.d2r(-111.598333)
tstate.lat = tpm.d2r(31.956389)
tpm.tpm_data(tstate, tpm.TPM_ALL)
last = tpm.r2d(tstate.last)
ha = []
dec = []
ra = []
for i in cat:
ha.append(tpm.r2d(i['alpha']))
dec.append(tpm.r2d(i['delta']))
# RA = LAST - HA and convert to 0 - 360.
x = last - tpm.r2d(i['alpha'])
ra.append(x if x >= 0 else x + 360.0)
for i in range(len(az)):
# Test only the coordinates with ZD < 75.0.
if zd[i] < 75.0:
self.assertTrue(abs(az[i] - az_sla[i]) * 3600.0 <= 0.25)
self.assertTrue(abs(zd[i] - zd_sla[i]) * 3600.0 <= 0.04)
self.assertTrue(abs(ha[i] - ha_sla[i]) * 3600.0 <= 0.28)
self.assertTrue(abs(dec[i] - dec_sla[i]) * 3600.0 <= 0.04)
self.assertTrue(abs(ra[i] - ra_sla[i]) * 3600.0 <= 0.33)