def testv62cat(self):
"""v62cat => Cartesian to catalog; testing cat2v6 <-> v62cat."""
# See pytpm/tests/c_tests/cat2v6_v62cat_test.c.
# Barnard's star from Hipparcos catalog.
# ICRS Epoch J1991.25
import math
alpha = tpm.d2r(269.45402305)
delta = tpm.d2r(4.66828815)
px = 549.01 / 1000.0 # To Arc seconds
rv = 0.0
# pmra * cos(de) into pmra
pma = (-797.84 / 1000.0 ) / math.cos(delta)
pma *= 100.0 # To Arcseconds per century.
pmd = (10326.93 / 1000.0)
pmd *= 100.0 # To Arcseconds per century.
C = tpm.CJ
v6 = tpm.cat2v6(alpha, delta, pma, pmd, px, rv, C)
p = tpm.v62cat(v6, C)
self.assertAlmostEqual(tpm.r2r(p['alpha']), alpha)
self.assertAlmostEqual(p['delta'], delta)
self.assertAlmostEqual(p['pma'], pma)
self.assertAlmostEqual(p['pmd'], pmd)
self.assertAlmostEqual(p['px'], px)
self.assertAlmostEqual(p['rv'], rv)
def test_slalib_hip_galeq(self):
"""convertv6(x,s1=4,s=6) + PM <=> SLALIB galeq HIP"""
v6l = []
for r, d in zip(self.hip_tab['glon'], self.hip_tab['glat']):
v6 = tpm.V6S()
v6.r = 1e9
v6.alpha = tpm.d2r(r)
v6.delta = tpm.d2r(d)
v6l.append(v6.s2c())
# The epoch of galactic data is J2000. But in SLALIB
# the input is taken to be B1950.0. I can't apply proper_motion
# from J2000 to B1950 before input to SLALIB since, I don't
# have galactic velocities. In essence, the SLALIB input has a
# proper_motion for the period B1950 to J2000, which is also
# present in the output. By setting
# epoch=tpm.B1950 PyTPM will return FK5 values at eq. J2000
# but at epoch B1950, which should match the results from
# SLALIB. The velocities for this conversion show up during
# FK4-FK5 frame conversion.
v6o = convert.convertv6(v6l, s1=4, s2=6, epoch=tpm.B1950)
cat = (tpm.v62cat(v, tpm.CJ) for v in v6o)
tab = get_sla("slalib_hip_galeq.txt")
for v, s in zip(cat, tab):
ra = math.degrees(tpm.r2r(v['alpha']))
dec = math.degrees(v['delta'])
ra_diff = abs(ra - s[0]) * 3600.0
dec_diff = abs(dec - s[1]) * 3600.0
self.assertTrue(ra_diff <= 0.001)
self.assertTrue(dec_diff <= 0.001)
def test_slalib_nwdfs_fk54z(self):
"""convertv6(x,s1=6,s=5) + PM <=> SLALIB FK5-FK4 (fk54z) NDWFS"""
v6l = []
for r, d in zip(self.ndwfs_tab['raj2'], self.ndwfs_tab['decj2']):
v6 = tpm.V6S()
v6.r = 1e9
v6.alpha = tpm.d2r(r)
v6.delta = tpm.d2r(d)
v6l.append(v6.s2c())
v6o = convert.convertv6(v6l, s1=6, s2=5)
v6o = convert.proper_motion(v6o, tpm.B1950, tpm.J2000)
cat = (tpm.v62cat(v, tpm.CB) for v in v6o)
tab = get_sla("slalib_ndwfs_fk54z.txt")
for v, s in zip(cat, tab):
ra = math.degrees(tpm.r2r(v['alpha']))
dec = math.degrees(v['delta'])
# arcsec/cent to milli-arcsec/year.
pma = v['pma'] * 1000.0 / 100.0
pmd = v['pmd'] * 1000.0 / 100.0
ra_diff = abs(ra - s[0]) * 3600.0
dec_diff = abs(dec - s[1]) * 3600.0
pma_diff = abs(pma - s[2])
pmd_diff = abs(pmd - s[3])
self.assertTrue(ra_diff <= 0.0001 )
self.assertTrue(dec_diff <= 0.0001)
self.assertTrue(pma_diff <= 1)
self.assertTrue(pmd_diff <= 1)
def test_slalib_nwdfs_fk54z(self):
"""convertv6(x,s1=6,s=5) + PM <=> SLALIB FK5-FK4 (fk54z) NDWFS"""
v6l = []
for r, d in zip(self.ndwfs_tab['raj2'], self.ndwfs_tab['decj2']):
v6 = tpm.V6S()
v6.r = 1e9
v6.alpha = tpm.d2r(r)
v6.delta = tpm.d2r(d)
v6l.append(v6.s2c())
v6o = convert.convertv6(v6l, s1=6, s2=5)
v6o = convert.proper_motion(v6o, tpm.B1950, tpm.J2000)
cat = (tpm.v62cat(v, tpm.CB) for v in v6o)
tab = get_sla("slalib_ndwfs_fk54z.txt")
for v, s in zip(cat, tab):
ra = math.degrees(tpm.r2r(v['alpha']))
dec = math.degrees(v['delta'])
# arcsec/cent to milli-arcsec/year.
pma = v['pma'] * 1000.0 / 100.0
pmd = v['pmd'] * 1000.0 / 100.0
ra_diff = abs(ra - s[0]) * 3600.0
dec_diff = abs(dec - s[1]) * 3600.0
pma_diff = abs(pma - s[2])
pmd_diff = abs(pmd - s[3])
self.assertTrue(ra_diff <= 0.0001)
self.assertTrue(dec_diff <= 0.0001)
self.assertTrue(pma_diff <= 1)
self.assertTrue(pmd_diff <= 1)
def testv62cat(self):
"""v62cat => Cartesian to catalog; testing cat2v6 <-> v62cat."""
# See pytpm/tests/c_tests/cat2v6_v62cat_test.c.
# Barnard's star from Hipparcos catalog.
# ICRS Epoch J1991.25
import math
alpha = tpm.d2r(269.45402305)
delta = tpm.d2r(4.66828815)
px = 549.01 / 1000.0 # To Arc seconds
rv = 0.0
# pmra * cos(de) into pmra
pma = (-797.84 / 1000.0) / math.cos(delta)
pma *= 100.0 # To Arcseconds per century.
pmd = 10326.93 / 1000.0
pmd *= 100.0 # To Arcseconds per century.
C = tpm.CJ
v6 = tpm.cat2v6(alpha, delta, pma, pmd, px, rv, C)
p = tpm.v62cat(v6, C)
self.assertAlmostEqual(tpm.r2r(p["alpha"]), alpha)
self.assertAlmostEqual(p["delta"], delta)
self.assertAlmostEqual(p["pma"], pma)
self.assertAlmostEqual(p["pmd"], pmd)
self.assertAlmostEqual(p["px"], px)
self.assertAlmostEqual(p["rv"], rv)
def hipfk524():
"""Print summary of FK5-FK4 comparison with SLALIB fk524 (HIP)."""
hip_tab = get_hipdata()
sla_tab = get_sla("slalib_hip_fk524.txt")
rv = np.zeros((len(hip_tab['px'],)))
v6l = convert.cat2v6(hip_tab['raj2'], hip_tab['decj2'], hip_tab['pma'],
hip_tab['pmd'], hip_tab['px'], rv, tpm.CJ)
v6o = convert.convertv6(v6l, s1=6, s2=5, epoch=tpm.J2000)
v6o = convert.proper_motion(v6o, tpm.B1950, tpm.J2000)
cat = (tpm.v62cat(v, tpm.CB) for v in v6o)
d = cat2array(cat)
ra_diff = np.degrees(d['alpha']) - sla_tab[:, 0]
ra_diff *= 3600.0
dec_diff = np.degrees(d['delta']) - sla_tab[:, 1]
dec_diff *= 3600.0
px_diff = d['px'] * 1000.0 - sla_tab[:, 2]
pma_diff = d['pma'] * 1000.0 / 100.0 - sla_tab[:, 3]
pmd_diff = d['pmd'] * 1000.0 / 100.0 - sla_tab[:, 4]
rv_diff = d['rv'] - sla_tab[:, 5]
fs = "{0} {1}\n" + \
"Min: {2:.4f} Max: {3:.4f} \nMean: {4:.4f} Std: {5:.4f}\n"
x = [stats.describe(np.abs(i)) for i in
[ra_diff, dec_diff, px_diff, pma_diff, pmd_diff, rv_diff]]
print("Comparison with SLALIB fk524 using HIPPARCOS data.")
for name, unit, s in zip(
["ra_diff", "dec_diff", "px_diff", "pma_diff", "pmd_diff",
"rv_diff"],
["arsec", "arcsec", "milliarcsec", "milli-arsec/trop. yr",
"milli-arcsec/trop. yr", "km/s"],
x):
print(fs.format(name, unit, s[1][0], s[1][1], s[2], s[3] ** 0.5))
def test_slalib_hip_eqgal(self):
"""convertv6(x,s1=6,s=4) + PM <=> SLALIB eqgal HIP"""
v6l = []
for r, d in zip(self.hip_tab['raj2'], self.hip_tab['decj2']):
v6 = tpm.V6S()
v6.r = 1e9
v6.alpha = tpm.d2r(r)
v6.delta = tpm.d2r(d)
v6l.append(v6.s2c())
v6o = convert.convertv6(v6l, s1=6, s2=4)
# The galactic coordinates are at epoch J2000. But SLALIB
# results are for B1950. So apply proper motion here.
v6o = convert.proper_motion(v6o, tpm.B1950, tpm.J2000)
cat = (tpm.v62cat(v, tpm.CJ) for v in v6o)
tab = get_sla("slalib_hip_eqgal.txt")
for v, s in zip(cat, tab):
ra = math.degrees(tpm.r2r(v['alpha']))
dec = math.degrees(v['delta'])
ra_diff = abs(ra - s[0]) * 3600.0
dec_diff = abs(dec - s[1]) * 3600.0
self.assertTrue(ra_diff <= 0.001 )
self.assertTrue(dec_diff <= 0.001 )
def test_slalib_hip_galeq(self):
"""convertv6(x,s1=4,s=6) + PM <=> SLALIB galeq HIP"""
v6l = []
for r, d in zip(self.hip_tab['glon'], self.hip_tab['glat']):
v6 = tpm.V6S()
v6.r = 1e9
v6.alpha = tpm.d2r(r)
v6.delta = tpm.d2r(d)
v6l.append(v6.s2c())
# The epoch of galactic data is J2000. But in SLALIB
# the input is taken to be B1950.0. I can't apply proper_motion
# from J2000 to B1950 before input to SLALIB since, I don't
# have galactic velocities. In essence, the SLALIB input has a
# proper_motion for the period B1950 to J2000, which is also
# present in the output. By setting
# epoch=tpm.B1950 PyTPM will return FK5 values at eq. J2000
# but at epoch B1950, which should match the results from
# SLALIB. The velocities for this conversion show up during
# FK4-FK5 frame conversion.
v6o = convert.convertv6(v6l, s1=4, s2=6, epoch=tpm.B1950)
cat = (tpm.v62cat(v, tpm.CJ) for v in v6o)
tab = get_sla("slalib_hip_galeq.txt")
for v, s in zip(cat, tab):
ra = math.degrees(tpm.r2r(v['alpha']))
dec = math.degrees(v['delta'])
ra_diff = abs(ra - s[0]) * 3600.0
dec_diff = abs(dec - s[1]) * 3600.0
self.assertTrue(ra_diff <= 0.001 )
self.assertTrue(dec_diff <= 0.001 )
def test_slalib_hip_eqgal(self):
"""convertv6(x,s1=6,s=4) + PM <=> SLALIB eqgal HIP"""
v6l = []
for r, d in zip(self.hip_tab['raj2'], self.hip_tab['decj2']):
v6 = tpm.V6S()
v6.r = 1e9
v6.alpha = tpm.d2r(r)
v6.delta = tpm.d2r(d)
v6l.append(v6.s2c())
v6o = convert.convertv6(v6l, s1=6, s2=4)
# The galactic coordinates are at epoch J2000. But SLALIB
# results are for B1950. So apply proper motion here.
v6o = convert.proper_motion(v6o, tpm.B1950, tpm.J2000)
cat = (tpm.v62cat(v, tpm.CJ) for v in v6o)
tab = get_sla("slalib_hip_eqgal.txt")
for v, s in zip(cat, tab):
ra = math.degrees(tpm.r2r(v['alpha']))
dec = math.degrees(v['delta'])
ra_diff = abs(ra - s[0]) * 3600.0
dec_diff = abs(dec - s[1]) * 3600.0
self.assertTrue(ra_diff <= 0.001)
self.assertTrue(dec_diff <= 0.001)
def testToObsAzElDateJ2000ep2000(self):
"""P and V: J2000 (~ICRS) 1991.25 => ObsAzEl Date J2000 ep J2000."""
# Set s2=TPM_S13 and ep2=J2000 in
# c_tests/test_conversion_with_pm.c.
ra = []
dec = []
pmra = []
pmdec = []
px = []
f = open(hip_data, "r")
for i in f:
x = [float(j) for j in i.split()]
ra.append(tpm.d2r(x[0]))
dec.append(tpm.d2r(x[1]))
# Milli-arcsec/year to arcsec/century.
pmra.append( ((x[2]/1000.0) / math.cos(tpm.d2r(x[1]))) * 100.0 )
pmdec.append( (x[3]/1000.0) * 100.0)
px.append(x[4])
f.close()
s1 = tpm.TPM_S06
ep = tpm.y2j(1991.25)
eq = tpm.J2000
s2 = tpm.TPM_S13
ep2 = tpm.J2000
f = open(os.path.join(c_tests_dir,
"hipicrsep1991_ObsAzElDateJ2000ep2000.txt"),
"r")
pvec = tpm.PVEC()
tstate = get_tstate()
for i in xrange(len(ra)):
v6 = tpm.cat2v6(ra[i], dec[i], pmra[i], pmdec[i], px[i], 0.0,
tpm.CJ)
pvec[s1] = v6
tpm.tpm(pvec, s1, s2, ep, eq, tstate)
v6 = pvec[s2]
tpm.proper_motion(v6, ep2, ep)
d = tpm.v62cat(v6, tpm.CJ)
x = [float(j) for j in f.readline().strip().split()]
self.assertAlmostEqual(tpm.r2d(tpm.r2r(d['alpha'])), x[0], 8)
self.assertAlmostEqual(tpm.r2d(d['delta']), x[1], 8)
self.assertAlmostEqual(d['pma'], x[2], 4)
self.assertAlmostEqual(d['pmd'], x[3], 4)
self.assertAlmostEqual(d['px'], x[4], 8)
self.assertAlmostEqual(d['rv'], x[5], 2)
f.close()
def testConvertv6(self):
"""ConvertV6: J2000 (~ICRS) 1991.25 => FK4 B1950 ep 1950.0."""
# Set s2=TPM_S05 and ep2=B1950 in
# c_tests/test_conversion_with_pm.c.
ra = []
dec = []
pmra = []
pmdec = []
px = []
f = open(hip_data_icrs, "r")
for i in f:
x = [float(j) for j in i.split()]
ra.append(tpm.d2r(x[0]))
dec.append(tpm.d2r(x[1]))
# Milli-arcsec/year to arcsec/century.
pmra.append(((x[2] / 1000.0) / math.cos(tpm.d2r(x[1]))) * 100.0)
pmdec.append((x[3] / 1000.0) * 100.0)
px.append(x[4])
f.close()
s1 = tpm.TPM_S06
ep = tpm.y2j(1991.25)
eq = tpm.J2000
s2 = tpm.TPM_S05
ep2 = tpm.B1950
f = open(os.path.join(c_tests_dir, "hipicrsep1991_fk4B1950ep1950.txt"),
"r")
v6_l = []
for i in range(len(ra)):
v6 = tpm.cat2v6(ra[i], dec[i], pmra[i], pmdec[i], px[i], 0.0,
tpm.CJ)
v6_l.append(v6)
v6_out = convert.convertv6(v6_l, epoch=ep, equinox=eq, s1=s1, s2=s2)
for v in v6_out:
tpm.proper_motion(v, ep2, ep)
d = tpm.v62cat(v, tpm.CJ)
x = [float(j) for j in f.readline().strip().split()]
self.assertAlmostEqual(tpm.r2d(tpm.r2r(d['alpha'])), x[0], 8)
self.assertAlmostEqual(tpm.r2d(d['delta']), x[1], 8)
self.assertAlmostEqual(d['pma'], x[2], 4)
self.assertAlmostEqual(d['pmd'], x[3], 4)
self.assertAlmostEqual(d['px'], x[4], 8)
self.assertAlmostEqual(d['rv'], x[5], 2)
f.close()
def testConvertv6(self):
"""ConvertV6: J2000 (~ICRS) 1991.25 => FK4 B1950 ep 1950.0."""
# Set s2=TPM_S05 and ep2=B1950 in
# c_tests/test_conversion_with_pm.c.
ra = []
dec = []
pmra = []
pmdec = []
px = []
f = open(hip_data_icrs, "r")
for i in f:
x = [float(j) for j in i.split()]
ra.append(tpm.d2r(x[0]))
dec.append(tpm.d2r(x[1]))
# Milli-arcsec/year to arcsec/century.
pmra.append(((x[2] / 1000.0) / math.cos(tpm.d2r(x[1]))) * 100.0)
pmdec.append((x[3] / 1000.0) * 100.0)
px.append(x[4])
f.close()
s1 = tpm.TPM_S06
ep = tpm.y2j(1991.25)
eq = tpm.J2000
s2 = tpm.TPM_S05
ep2 = tpm.B1950
f = open(os.path.join(c_tests_dir, "hipicrsep1991_fk4B1950ep1950.txt"), "r")
v6_l = []
for i in range(len(ra)):
v6 = tpm.cat2v6(ra[i], dec[i], pmra[i], pmdec[i], px[i], 0.0, tpm.CJ)
v6_l.append(v6)
v6_out = convert.convertv6(v6_l, epoch=ep, equinox=eq, s1=s1, s2=s2)
for v in v6_out:
tpm.proper_motion(v, ep2, ep)
d = tpm.v62cat(v, tpm.CJ)
x = [float(j) for j in f.readline().strip().split()]
self.assertAlmostEqual(tpm.r2d(tpm.r2r(d["alpha"])), x[0], 8)
self.assertAlmostEqual(tpm.r2d(d["delta"]), x[1], 8)
self.assertAlmostEqual(d["pma"], x[2], 4)
self.assertAlmostEqual(d["pmd"], x[3], 4)
self.assertAlmostEqual(d["px"], x[4], 8)
self.assertAlmostEqual(d["rv"], x[5], 2)
f.close()
def test_slalib_hip_fk524(self):
"""convertv6(x,s1=6,s2=5) + PM <=> SLALIB FK5-FK4 (fk524) HIP"""
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 milli-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)
v6o = convert.convertv6(v6l, s1=6, s2=5)
v6o = convert.proper_motion(v6o, tpm.B1950, tpm.J2000)
cat = (tpm.v62cat(v, tpm.CB) for v in v6o)
tab = get_sla("slalib_hip_fk524.txt")
for v, s in zip(cat, tab):
ra = math.degrees(tpm.r2r(v['alpha']))
dec = math.degrees(v['delta'])
# arc-sec/cent. to milli-arcsec/trop. year.
pma = v['pma'] * 1000.0 / 100.0
pmd = v['pmd'] * 1000.0 / 100.0
px = v['px'] * 1e3 # arc-sec to milli-arcsec
ra_diff = abs(ra - s[0]) * 3600.0
dec_diff = abs(dec - s[1]) * 3600.0
px_diff = abs(px - s[2])
pma_diff = abs(pma - s[3])
pmd_diff = abs(pmd - s[4])
rv_diff = abs(v['rv'] - s[5])
self.assertTrue(ra_diff <= 0.001)
self.assertTrue(dec_diff <= 0.001)
self.assertTrue(pma_diff <= 0.001)
self.assertTrue(pmd_diff <= 0.001)
self.assertTrue(px_diff <= 9)
self.assertTrue(rv_diff <= 0.04)
def test_slalib_hip_fk524(self):
"""convertv6(x,s1=6,s2=5) + PM <=> SLALIB FK5-FK4 (fk524) HIP"""
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 milli-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)
v6o = convert.convertv6(v6l, s1=6, s2=5)
v6o = convert.proper_motion(v6o, tpm.B1950, tpm.J2000)
cat = (tpm.v62cat(v, tpm.CB) for v in v6o)
tab = get_sla("slalib_hip_fk524.txt")
for v, s in zip(cat, tab):
ra = math.degrees(tpm.r2r(v['alpha']))
dec = math.degrees(v['delta'])
# arc-sec/cent. to milli-arcsec/trop. year.
pma = v['pma'] * 1000.0 / 100.0
pmd = v['pmd'] * 1000.0 / 100.0
px = v['px'] * 1e3 # arc-sec to milli-arcsec
ra_diff = abs(ra - s[0]) * 3600.0
dec_diff = abs(dec - s[1]) * 3600.0
px_diff = abs(px - s[2])
pma_diff = abs(pma - s[3])
pmd_diff = abs(pmd - s[4])
rv_diff = abs(v['rv'] - s[5])
self.assertTrue(ra_diff <= 0.001)
self.assertTrue(dec_diff <= 0.001)
self.assertTrue(pma_diff <= 0.001)
self.assertTrue(pmd_diff <= 0.001)
self.assertTrue(px_diff <= 9)
self.assertTrue(rv_diff <= 0.04)
def test_slalib_hip_fk425(self):
"""convertv6(v6,s1=5,s2=6) + PM <=> SLALIB FK4-FK5 (fk425) HIP."""
sla_tabb = get_sla("slalib_hip_fk524.txt")
tab = get_sla("slalib_hip_fk524_fk425.txt")
v6l = []
for r, d, px, pa, pd, rv in sla_tabb:
r = tpm.d2r(r)
d = tpm.d2r(d)
# Milli-arcsec / Trop. yr to arcsec per Trop. century.
pma = pa / 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, rv, tpm.CB)
v6l.append(v6)
v6o = convert.convertv6(v6l, s1=5, s2=6, epoch=tpm.B1950)
v6o = convert.proper_motion(v6o, tpm.J2000, tpm.B1950)
cat = (tpm.v62cat(v, tpm.CJ) for v in v6o)
for v, s in zip(cat, tab):
ra = math.degrees(tpm.r2r(v['alpha']))
dec = math.degrees(v['delta'])
# arc-sec/cent. to milli-arcsec/Jul. year.
pma = v['pma'] * 1000.0 / 100.0
pmd = v['pmd'] * 1000.0 / 100.0
px = v['px'] * 1e3 # arc-sec to milli-arcsec
ra_diff = abs(ra - s[0]) * 3600.0
dec_diff = abs(dec - s[1]) * 3600.0
px_diff = abs(px - s[2])
pma_diff = abs(pma - s[3])
pmd_diff = abs(pmd - s[4])
rv_diff = abs(v['rv'] - s[5])
self.assertTrue(ra_diff <= 0.001)
self.assertTrue(dec_diff <= 0.001)
self.assertTrue(pma_diff <= 0.001)
self.assertTrue(pmd_diff <= 0.001)
self.assertTrue(px_diff <= 9)
self.assertTrue(rv_diff <= 0.04)
def test_slalib_hip_fk52appradec(self):
"""convert(x, s1=6, s2=11) + PM => SLALIB sla_map HIP."""
tab = get_sla("slalib_hip_map.txt")
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)
v6o = convert.proper_motion(v6l, tt, tpm.J2000)
v6o = convert.convertv6(v6o,
s1=6,
s2=11,
epoch=tt,
equinox=tpm.J2000,
utc=utc,
delta_at=tpm.delta_AT(utc))
cat = (tpm.v62cat(v, tpm.CJ) for v in v6o)
l = len(v6o)
for v, s, i in zip(cat, tab, range(l)):
ra = math.degrees(tpm.r2r(v['alpha']))
dec = math.degrees(v['delta'])
ra_diff = abs(ra - s[0]) * 3600.0
dec_diff = abs(dec - s[1]) * 3600.0
self.assertTrue(ra_diff <= 0.33)
self.assertTrue(dec_diff <= 0.03)
def test_slalib_hip_fk425(self):
"""convertv6(v6,s1=5,s2=6) + PM <=> SLALIB FK4-FK5 (fk425) HIP."""
sla_tabb = get_sla("slalib_hip_fk524.txt")
tab = get_sla("slalib_hip_fk524_fk425.txt")
v6l = []
for r, d, px, pa, pd, rv in sla_tabb:
r = tpm.d2r(r)
d = tpm.d2r(d)
# Milli-arcsec / Trop. yr to arcsec per Trop. century.
pma = pa / 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, rv, tpm.CB)
v6l.append(v6)
v6o = convert.convertv6(v6l, s1=5, s2=6, epoch=tpm.B1950)
v6o = convert.proper_motion(v6o, tpm.J2000, tpm.B1950)
cat = (tpm.v62cat(v, tpm.CJ) for v in v6o)
for v, s in zip(cat, tab):
ra = math.degrees(tpm.r2r(v['alpha']))
dec = math.degrees(v['delta'])
# arc-sec/cent. to milli-arcsec/Jul. year.
pma = v['pma'] * 1000.0 / 100.0
pmd = v['pmd'] * 1000.0 / 100.0
px = v['px'] * 1e3 # arc-sec to milli-arcsec
ra_diff = abs(ra - s[0]) * 3600.0
dec_diff = abs(dec - s[1]) * 3600.0
px_diff = abs(px - s[2])
pma_diff = abs(pma - s[3])
pmd_diff = abs(pmd - s[4])
rv_diff = abs(v['rv'] - s[5])
self.assertTrue(ra_diff <= 0.001)
self.assertTrue(dec_diff <= 0.001)
self.assertTrue(pma_diff <= 0.001)
self.assertTrue(pmd_diff <= 0.001)
self.assertTrue(px_diff <= 9)
self.assertTrue(rv_diff <= 0.04)
def test_slalib_hip_fk52appradec(self):
"""convert(x, s1=6, s2=11) + PM => SLALIB sla_map HIP."""
tab = get_sla("slalib_hip_map.txt")
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)
v6o = convert.proper_motion(v6l, tt, tpm.J2000)
v6o = convert.convertv6(v6o, s1=6, s2=11, epoch=tt,
equinox=tpm.J2000,
utc=utc, delta_at=tpm.delta_AT(utc))
cat = (tpm.v62cat(v, tpm.CJ) for v in v6o)
l = len(v6o)
for v, s, i in zip(cat, tab, range(l)):
ra = math.degrees(tpm.r2r(v['alpha']))
dec = math.degrees(v['delta'])
ra_diff = abs(ra - s[0]) * 3600.0
dec_diff = abs(dec - s[1]) * 3600.0
self.assertTrue(ra_diff <= 0.33)
self.assertTrue(dec_diff <= 0.03)
def test_slalib_hip_ecleq(self):
"""convertv6(x,s1=3,s=6) <=> SLALIB ecleq HIP"""
v6l = []
for r, d in zip(self.hip_tab['elon2'], self.hip_tab['elat2']):
v6 = tpm.V6S()
v6.r = 1e9
v6.alpha = tpm.d2r(r)
v6.delta = tpm.d2r(d)
v6l.append(v6.s2c())
v6o = convert.convertv6(v6l, s1=3, s2=6)
cat = (tpm.v62cat(v, tpm.CJ) for v in v6o)
tab = get_sla("slalib_hip_ecleq.txt")
for v, s in zip(cat, tab):
ra = math.degrees(tpm.r2r(v['alpha']))
dec = math.degrees(v['delta'])
ra_diff = abs(ra - s[0]) * 3600.0
dec_diff = abs(dec - s[1]) * 3600.0
self.assertTrue(ra_diff <= 0.001)
self.assertTrue(dec_diff <= 0.001)
def test_slalib_nwdfs_eqecl(self):
"""convertv6(x,s1=6,s=3) <=> SLALIB eqecl NDWFS"""
v6l = []
for r, d in zip(self.ndwfs_tab['raj2'], self.ndwfs_tab['decj2']):
v6 = tpm.V6S()
v6.r = 1e9
v6.alpha = tpm.d2r(r)
v6.delta = tpm.d2r(d)
v6l.append(v6.s2c())
v6o = convert.convertv6(v6l, s1=6, s2=3)
cat = (tpm.v62cat(v, tpm.CJ) for v in v6o)
tab = get_sla("slalib_ndwfs_eqecl.txt")
for v, s in zip(cat, tab):
ra = math.degrees(tpm.r2r(v['alpha']))
dec = math.degrees(v['delta'])
ra_diff = abs(ra - s[0]) * 3600.0
dec_diff = abs(dec - s[1]) * 3600.0
self.assertTrue(ra_diff <= 0.001)
self.assertTrue(dec_diff <= 0.001)
def test_slalib_nwdfs_eqecl(self):
"""convertv6(x,s1=6,s=3) <=> SLALIB eqecl NDWFS"""
v6l = []
for r, d in zip(self.ndwfs_tab['raj2'], self.ndwfs_tab['decj2']):
v6 = tpm.V6S()
v6.r = 1e9
v6.alpha = tpm.d2r(r)
v6.delta = tpm.d2r(d)
v6l.append(v6.s2c())
v6o = convert.convertv6(v6l, s1=6, s2=3)
cat = (tpm.v62cat(v, tpm.CJ) for v in v6o)
tab = get_sla("slalib_ndwfs_eqecl.txt")
for v, s in zip(cat, tab):
ra = math.degrees(tpm.r2r(v['alpha']))
dec = math.degrees(v['delta'])
ra_diff = abs(ra - s[0]) * 3600.0
dec_diff = abs(dec - s[1]) * 3600.0
self.assertTrue(ra_diff <= 0.001 )
self.assertTrue(dec_diff <= 0.001)
def test_slalib_hip_ecleq(self):
"""convertv6(x,s1=3,s=6) <=> SLALIB ecleq HIP"""
v6l = []
for r, d in zip(self.hip_tab['elon2'], self.hip_tab['elat2']):
v6 = tpm.V6S()
v6.r = 1e9
v6.alpha = tpm.d2r(r)
v6.delta = tpm.d2r(d)
v6l.append(v6.s2c())
v6o = convert.convertv6(v6l, s1=3, s2=6)
cat = (tpm.v62cat(v, tpm.CJ) for v in v6o)
tab = get_sla("slalib_hip_ecleq.txt")
for v, s in zip(cat, tab):
ra = math.degrees(tpm.r2r(v['alpha']))
dec = math.degrees(v['delta'])
ra_diff = abs(ra - s[0]) * 3600.0
dec_diff = abs(dec - s[1]) * 3600.0
self.assertTrue(ra_diff <= 0.001)
self.assertTrue(dec_diff <= 0.001)
def hipfk524():
"""Print summary of FK5-FK4 comparison with SLALIB fk524 (HIP)."""
hip_tab = get_hipdata()
sla_tab = get_sla("slalib_hip_fk524.txt")
rv = np.zeros((len(hip_tab['px'], )))
v6l = convert.cat2v6(hip_tab['raj2'], hip_tab['decj2'], hip_tab['pma'],
hip_tab['pmd'], hip_tab['px'], rv, tpm.CJ)
v6o = convert.convertv6(v6l, s1=6, s2=5, epoch=tpm.J2000)
v6o = convert.proper_motion(v6o, tpm.B1950, tpm.J2000)
cat = (tpm.v62cat(v, tpm.CB) for v in v6o)
d = cat2array(cat)
ra_diff = np.degrees(d['alpha']) - sla_tab[:, 0]
ra_diff *= 3600.0
dec_diff = np.degrees(d['delta']) - sla_tab[:, 1]
dec_diff *= 3600.0
px_diff = d['px'] * 1000.0 - sla_tab[:, 2]
pma_diff = d['pma'] * 1000.0 / 100.0 - sla_tab[:, 3]
pmd_diff = d['pmd'] * 1000.0 / 100.0 - sla_tab[:, 4]
rv_diff = d['rv'] - sla_tab[:, 5]
fs = "{0} {1}\n" + \
"Min: {2:.4f} Max: {3:.4f} \nMean: {4:.4f} Std: {5:.4f}\n"
x = [
stats.describe(np.abs(i))
for i in [ra_diff, dec_diff, px_diff, pma_diff, pmd_diff, rv_diff]
]
print("Comparison with SLALIB fk524 using HIPPARCOS data.")
for name, unit, s in zip(
["ra_diff", "dec_diff", "px_diff", "pma_diff", "pmd_diff", "rv_diff"],
[
"arsec", "arcsec", "milliarcsec", "milli-arsec/trop. yr",
"milli-arcsec/trop. yr", "km/s"
], x):
print(fs.format(name, unit, s[1][0], s[1][1], s[2], s[3]**0.5))
def test_slalib_nwdfs_fk45z(self):
"""convertv6(x,s1=5,s=6) <=> SLALIB FK4-FK5 (fk45z) NDWFS"""
v6l = []
for r, d in zip(self.ndwfs_tab['rab1'], self.ndwfs_tab['decb1']):
v6 = tpm.V6S()
v6.r = 1e9
v6.alpha = tpm.d2r(r)
v6.delta = tpm.d2r(d)
v6l.append(v6.s2c())
v6o = convert.convertv6(v6l, s1=5, s2=6)
v6o = convert.proper_motion(v6o, tpm.J2000, tpm.B1950)
cat = (tpm.v62cat(v, tpm.CJ) for v in v6o)
tab = get_sla("slalib_ndwfs_fk45z.txt")
for v, s in zip(cat, tab):
ra = math.degrees(tpm.r2r(v['alpha']))
dec = math.degrees(v['delta'])
ra_diff = abs(ra - s[0]) * 3600.0
dec_diff = abs(dec - s[1]) * 3600.0
self.assertTrue(ra_diff <= 0.5 )
self.assertTrue(dec_diff <= 0.5)
def test_slalib_nwdfs_fk45z(self):
"""convertv6(x,s1=5,s=6) <=> SLALIB FK4-FK5 (fk45z) NDWFS"""
v6l = []
for r, d in zip(self.ndwfs_tab['rab1'], self.ndwfs_tab['decb1']):
v6 = tpm.V6S()
v6.r = 1e9
v6.alpha = tpm.d2r(r)
v6.delta = tpm.d2r(d)
v6l.append(v6.s2c())
v6o = convert.convertv6(v6l, s1=5, s2=6)
v6o = convert.proper_motion(v6o, tpm.J2000, tpm.B1950)
cat = (tpm.v62cat(v, tpm.CJ) for v in v6o)
tab = get_sla("slalib_ndwfs_fk45z.txt")
for v, s in zip(cat, tab):
ra = math.degrees(tpm.r2r(v['alpha']))
dec = math.degrees(v['delta'])
ra_diff = abs(ra - s[0]) * 3600.0
dec_diff = abs(dec - s[1]) * 3600.0
self.assertTrue(ra_diff <= 0.5)
self.assertTrue(dec_diff <= 0.5)
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)
