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gen_coeff_flexible_recursive.py
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gen_coeff_flexible_recursive.py
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"""
Compute ephemerides with openorb and output their
Chebyshev polynomial coefficients
Usage:
python gen_coeff_flexible_recursive.py <filename> <start_time_tai> <days> <coefficients> <totaldays>
Examples: python gen_coeff_flexible_recursive.py tests/S1_00.zzz_49353.des 49343 30 14 30
remember to setup the library environment variables first:
>export OORB_CONF=/share/pogo3/krughoff/shared/oorb/main/oorb.conf
>export OORB_DATA=/share/pogo3/krughoff/shared/oorb/data/
"""
import numpy as np
import chebfit as cg
import chebeval as ce
import sys
import movingObject as mo
import math
import pyoorb as oo
DEBUG = False
def sphericalDistance(origin, destination):
lat1, lon1 = origin
lat2, lon2 = destination
radius = 1.0
dlat = math.radians(lat2-lat1)
dlon = math.radians(lon2-lon1)
a = math.sin(dlat/2) * math.sin(dlat/2) + math.cos(math.radians(lat1)) \
* math.cos(math.radians(lat2)) * math.sin(dlon/2) * math.sin(dlon/2)
c = 2 * math.atan2(math.sqrt(a), math.sqrt(1-a))
d = radius * c
return d*180.0/np.pi
def get_coeffs_position(t, ra, dec, dracoorddt, ddecdt, ng, npo, coeff, multiplier=(None, None)):
p, dec_resid, dec_rms = cg.chebfit(t, dec, ddecdt,
xMultiplier=multiplier[0], dxMultiplier=multiplier[1], nPoly=coeff)
rap, ra_resid, ra_rms = cg.chebfit(t, ra, dracoorddt,
xMultiplier=multiplier[0], dxMultiplier=multiplier[1], nPoly=coeff)
ra_real_resid = (ra_resid)*np.cos(np.pi*dec/180.)
return p, rap, 3600.0*1000.0*np.max(np.sqrt(dec_resid**2 + ra_real_resid**2))
def get_coeffs_vmag(t, vmag, ng, npo, coeff, multiplier=None):
p, resid, rms = cg.chebfit(t, vmag, None, xMultiplier=multiplier, nPoly=coeff)
return p, np.max(np.abs(resid))
def get_coeffs_se(t, se, ng, npo, coeff, multiplier=None):
p, resid, rms = cg.chebfit(t, se, None, xMultiplier=multiplier, nPoly=coeff)
return p, np.max(np.abs(resid))
def get_coeffs_dist(t, dist, distdt, ng, npo, coeff, multiplier=(None, None)):
p, resid, rms = cg.chebfit(t, dist, distdt,
xMultiplier=multiplier[0], dxMultiplier=multiplier[1], nPoly=coeff)
return p, np.max(np.abs(resid))
def get_coeffs_dist2(t, dist, ng, npo, coeff, multiplier=None):
p, resid, rms = cg.chebfit(t, dist, None, xMultiplier=multiplier, nPoly=coeff)
return p, np.max(np.abs(resid))
def get_granularity(distance):
"""
if distance is 0.8 degrees/day treat same as MBA
< 1.6 degrees/day try gen 1 day at 64 points per day.
< 3.2 deg/day try gen 0.5 day at 128 points per day
<6.4 deg/day try gen 0.25 day at 256 points per day
< 12.8 deg.day try gen 0.125 day at 512 points per day
< 25.6 deg/day try gen 0.0625 day at 1024 points per day
< 51.2 deg/day try gen 0.03125 day at 2048 points per day
try gen 0.015625 day at 4096 points per day
ngran = 64 #always ngran = int(range/timestep)
"""
if distance < 0.8:
timestep = 0.03125 # 1/32 day
length = 2. # days 2
elif distance < 1.6:
timestep = 0.015625 # 1/64 day
length = 1. # days 1
elif distance < 3.2:
timestep = 0.0078125 # 1/128 day
length = 0.5 # days 1/2
elif distance < 6.4:
timestep = 0.00390625 # 1/256 day
length = 0.25 # days 1/4
elif distance < 12.8:
timestep = 0.001953125 # 1/512 day
length = 0.125 # days 1/8
elif distance < 25.6:
timestep = 0.0009765625 # 1/1024 day
length = 0.0625 # days 1/16
elif distance < 51.2:
timestep = 0.00048828125 # 1/2048 day
length = 0.03125 # days 1/32
elif distance < 102.4:
timestep = 0.000244140625 # 1/4096 day
length = 0.015625 # days 1/64
else: # fastest it can go
timestep = 0.0001220703125 # 1/8192 day
length = 0.0078125 # days 1/128
return timestep, length, 64
def three_sixy_to_neg(element, min, max):
if (min < 100) & (max > 270):
if element > 270:
return element - 360.
else:
return element
else:
return element
v_360_to_neg = np.vectorize(three_sixy_to_neg)
def getEphem(movobj, startMjd, length, dt):
mjdTaiList = list(np.arange(startMjd, startMjd + length + dt, dt))
t = np.empty(len(mjdTaiList))
ra = np.empty(len(mjdTaiList))
dec = np.empty(len(mjdTaiList))
dracoorddt = np.empty(len(mjdTaiList))
ddecdt = np.empty(len(mjdTaiList))
vmag = np.empty(len(mjdTaiList))
dist = np.empty(len(mjdTaiList))
se = np.empty(len(mjdTaiList))
movobj.calcEphemeris(mjdTaiList, obscode=807, eph_timescale=4.0)
# if DEBUG==True: print "end calc ephemeris", time.time() - starttime
for j, mjdTai in enumerate(mjdTaiList):
t[j], ra[j], dec[j], dracoorddt[j], ddecdt[j], vmag[j], dist[j], se[j] = \
movobj.Ephemerides[movobj.mjdTaiStr(mjdTai)].getPosition()
return t, ra, dec, dracoorddt, ddecdt, vmag, dist, se
def plotRaDecT(ra, dec, t, cra, cdec):
import matplotlib.pyplot as plt
trange = np.arange(t[0], t[-1], 0.01)
raEval, vraEval = ce.chebeval(trange, cra, interval=np.array([t[0], t[-1]]))
plt.plot(t, ra, 'k.')
plt.plot(trange, raEval, 'r-')
plt.ylabel('RA')
plt.show()
decEval, vdecEval = ce.chebeval(trange, cdec, interval=np.array([t[0], t[-1]]))
plt.plot(t, dec, 'k.')
plt.plot(trange, decEval, 'b-')
plt.ylabel('Dec')
plt.show()
def adjustTimeLengthExtreme(p_resid, dec, timestep, length):
if p_resid > 1000:
timestep = timestep/16
length = length/16
elif p_resid > 100:
timestep = timestep/8
length = length/8
elif p_resid > 15:
timestep = timestep/4
length = length/4
elif p_resid > 5:
timestep = timestep/2
length = length/2
elif p_resid > 2:
timestep = timestep/1
length = length/1
elif p_resid > 1:
timestep = timestep/1
length = length/1
# cut it in half once more if chance to go over poles
if dec < -75. or dec > 75.:
timestep = timestep/2
length = length/2
return timestep, length
def adjustTimeLengthNormal(p_resid, dec, timestep, length):
if p_resid > 5:
timestep = timestep/4
length = length/4
elif p_resid > 2:
timestep = timestep/2
length = length/2
# cut it in half once more if chance to go over poles
if dec < -75. or dec > 75.:
timestep = timestep/2
length = length/2
return timestep, length
def getGran(ssmid, mymo, start_time, days, coeff):
# first, lets generate a day and see how far it goes:
halfofDaysToRun = start_time + int(days/2)
t, ra, decl, dracoorddt, ddecdt, magV, dist, se = getEphem(mymo, halfofDaysToRun, 1.0, 1.0)
distance = sphericalDistance([ra[0], decl[0]], [ra[1], decl[1]])
timestep, length, ngran = get_granularity(distance)
t, ra, dec, dracoorddt, ddecdt, vmag, dist, se = getEphem(mymo, halfofDaysToRun, length, timestep)
pdec, pra, p_resid = get_coeffs_position(t, v_360_to_neg(ra, np.min(ra), np.max(ra)), dec,
dracoorddt, ddecdt, 64, 64, coeff)
if DEBUG:
print "test presid MAIN is", p_resid
timestep, length = adjustTimeLengthNormal(p_resid, dec[0], timestep, length)
return timestep, length, ngran
def breakItDown(ssmid, mymo, start_time, timestep, days, ngran, coeff, multiplier, CoeffFile,
ResidualSumfile, Failedfile, inputfilename):
timestep = timestep/2.
length = days/2
halfofDaysToRun = start_time
t, ra, dec, dracoorddt, ddecdt, vmag, dist, se = getEphem(mymo, halfofDaysToRun, length, timestep)
pdec, pra, p_resid = get_coeffs_position(t, v_360_to_neg(ra, np.min(ra), np.max(ra)),
dec, dracoorddt, ddecdt, 64, 64, coeff)
if DEBUG:
print "test presid RECURSIVE is", p_resid
timestep, length = adjustTimeLengthExtreme(p_resid, dec[0], timestep, length)
doOneRecursiveSegment(ssmid, mymo, start_time, days, coeff, timestep, length, ngran,
multiplier, CoeffFile, ResidualSumfile, Failedfile, inputfilename)
def doOneRecursiveSegment(ssmid, mymo, start_time, days, coeff, timestep, length, ngran,
multiplier, CoeffFile, ResidualSumfile, Failedfile, inputfilename):
t, ra, dec, dracoorddt, ddecdt, vmag, dist, se = getEphem(mymo, start_time, days, timestep)
# now we have our arrays and fit exactly like before
day0 = 0
day1 = 64
rows = 1
npoint = 64
while day0 < len(t) - 64:
pdec, pra, p_resid = get_coeffs_position(t[day0:day1+1],
v_360_to_neg(ra[day0:day1+1],
np.min(ra[day0:day1+1]),
np.max(ra[day0:day1+1])),
dec[day0:day1+1], dracoorddt[day0:day1+1], ddecdt[day0:day1+1],
ngran, npoint, coeff, multiplier['POSITION'])
if p_resid > 2.5:
if DEBUG:
print "oh no!:", p_resid
breakItDown(ssmid, mymo, t[day0], timestep, length, ngran, coeff, multiplier,
CoeffFile, ResidualSumfile, Failedfile, inputfilename)
else: # we're good. Print it out to file
d, d_resid = get_coeffs_dist2(t[day0:day1+1], dist[day0:day1+1], ngran, npoint, 5, multiplier['DIST_X'])
v, v_resid = get_coeffs_vmag(t[day0:day1+1], vmag[day0:day1+1], ngran, npoint, 9, multiplier['VMAG_X'])
s, s_resid = get_coeffs_se(t[day0:day1+1], se[day0:day1+1], ngran, npoint, 6, multiplier['SE_X'])
if np.isnan(v_resid) | np.isnan(d_resid) | np.isnan(s_resid):
print 'do not print!!'
print >>Failedfile, "%s %i %.14f %.14f %.14f %.14e %.14e %.14e %.14e %s" % (
ssmid, rows, t[day0], t[day1], t[day1] - t[day0], p_resid, d_resid,
v_resid, s_resid, inputfilename)
else:
print >>ResidualSumfile, "%s %i %.14f %.14f %.14f %.14e %.14e %.14e %.14e %s" % (
ssmid, rows, t[day0], t[day1], t[day1] - t[day0], p_resid, d_resid,
v_resid, s_resid, inputfilename)
print >>CoeffFile, "%i %s %.10f %.10f %s %s %s %s %s"%(0,
ssmid, t[day0], t[day1], " ".join('%.14e'%j for j in pra), " ".join('%.14e'%j for j in pdec),
" ".join('%.7e'%j for j in d), " ".join('%.7e'%j for j in v), " ".join('%.7e'%j for j in s))
# advance to the next day if less than 6 points left in month
day0 = day1
day1 = day1 + 64
rows = rows + 1
def doOneMonth(ssmid, mymo, start_time, days, coeff, multiplier, CoeffFile, ResidualSumfile,
Failedfile, inputfilename, knownGran=True):
if not knownGran:
timestep, length, ngran = getGran(ssmid, mymo, start_time, days, coeff)
if DEBUG:
print ssmid, start_time, days, coeff, timestep, length, ngran
else:
timestep = 0.03125
length = 2.0
ngran = 64
doOneRecursiveSegment(ssmid, mymo, start_time, days, coeff, timestep,
length, ngran, multiplier, CoeffFile, ResidualSumfile,
Failedfile, inputfilename)
def main(argv):
inputfilepath = argv[0]
start_time = float(argv[1])
days = int(argv[2])
coeff = int(argv[3])
totaldays = int(argv[4])
print 'Generating and Fitting Ephems starting:', start_time
print 'working on file ', inputfilepath
print 'timespan in days ', days
print 'number of coefficients ', coeff
# open output files
inputfilename = inputfilepath.split("/")
CoeffFile = open(inputfilename[-1] + '.coef_vartime_' + str(coeff) + '.dat', 'w')
ResidualSumfile = open(inputfilename[-1] + '.resid_sum_vartime_' + str(coeff) + '.dat', 'w')
Failedfile = open(inputfilename[-1] + '.failed_' + str(coeff) + '.dat', 'w')
# get input
orbit = np.loadtxt(inputfilepath, comments='!!', usecols=(2, 3, 4, 5, 6, 7, 8, 9),
delimiter=None, dtype=np.float64, unpack=True)
ssmid = np.loadtxt(inputfilepath, comments='!!', usecols=(0,), delimiter=None, dtype=np.str, unpack=True)
q = orbit[0]
e = orbit[1]
inc = orbit[2]
omega = orbit[3]
argperi = orbit[4]
t_p = orbit[5]
H = orbit[6]
t_0 = orbit[7]
oo.pyoorb.oorb_init(ephemeris_fname="")
print 'total days ', totaldays
# Make Multiplier Dict:
VMAG_COEFF = 9
DIST_COEFF = 5
SE_COEFF = 6
# Precompute multiplier because
# we don't want to invert a matrix for every segment
nPoints = 64
multipliers = {}
multipliers['POSITION'] = cg.makeChebMatrix(nPoints + 1, coeff, weight=0.16)
multipliers['VMAG_X'] = cg.makeChebMatrixOnlyX(nPoints + 1, VMAG_COEFF)
multipliers['DIST'] = cg.makeChebMatrix(nPoints + 1, DIST_COEFF, weight=0.16)
multipliers['DIST_X'] = cg.makeChebMatrixOnlyX(nPoints + 1, DIST_COEFF)
multipliers['SE_X'] = cg.makeChebMatrixOnlyX(nPoints + 1, SE_COEFF)
# check if only 1 row
theShape = orbit.shape
if len(theShape) == 2:
datalen = theShape[1]
else:
datalen = 1
if DEBUG:
print 'datalen', datalen
for i in range(datalen):
if datalen == 1:
id = ssmid
mymo = mo.MovingObject(q, e, inc, omega, argperi, t_p, t_0, objid=ssmid, magHv=H)
else:
id = ssmid[i]
mymo = mo.MovingObject(q[i], e[i], inc[i], omega[i], argperi[i],
t_p[i], t_0[i], objid=ssmid[i], magHv=H[i])
tmpStartTime = start_time
while tmpStartTime < start_time + totaldays:
doOneMonth(id, mymo, tmpStartTime, days, coeff, multipliers, CoeffFile,
ResidualSumfile, Failedfile, inputfilename[-1])
tmpStartTime += days
CompletedNotice = open(inputfilename[-1] + '.done.txt', 'w')
print >>CompletedNotice, "Success"
if __name__ == "__main__":
main(sys.argv[1:])