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import ctypes
import numpy as np
import astropy.constants as cons
from scipy import interpolate
import math
from astropy.table import Table
import astropy.coordinates as coord
from astropy import units as u
filterPivotWave = {'nuv':2875.5,'u':3629.6,'g':4808.4,'r':6178.2, 'i':7609.0, 'z':9012.9,'y':9627.9}
filterIndex = {'nuv':0,'u':1,'g':2,'r':3, 'i':4, 'z':5,'y':6}
filterCCD = {'nuv':'UV0','u':'UV0','g':'Astro_MB','r':'Astro_MB', 'i':'Basic_NIR', 'z':'Basic_NIR','y':'Basic_NIR'}
bandRange = {'nuv':[2504.0,3230.0],'u':[3190.0,4039.0],'g':[3989.0,5498.0],'r':[5438.0,6956.0], 'i':[6886.0,8469.0], 'z':[8379.0,10855.0],'y':[9217.0, 10900.0], 'GU':[2550, 4000],'GV':[4000, 6200],'GI':[6200,10000]}
Instrument_dir = '/Users/zhangxin/Work/SlitlessSim/CSST_SIM/CSST_C6/straylight/straylight/Instrument/'
SpecOrder = ['-2','-1','0','1','2']
def transRaDec2D(ra, dec):
x1 = np.cos(dec / 57.2957795) * np.cos(ra / 57.2957795);
y1 = np.cos(dec / 57.2957795) * np.sin(ra / 57.2957795);
z1 = np.sin(dec / 57.2957795);
return np.array([x1, y1, z1])
def getAngle132(x1 = 0, y1 = 0, z1 = 0, x2 = 0, y2 = 0, z2 = 0, x3 = 0, y3 = 0, z3 = 0):
cosValue = 0;
angle = 0;
x11 = x1-x3;
y11 = y1-y3;
z11 = z1-z3;
x22 = x2-x3;
y22 = y2-y3;
z22 = z2-z3;
tt = np.sqrt((x11*x11 + y11*y11 + z11* z11) * (x22*x22 + y22*y22 + z22*z22));
if(tt==0):
return 0;
cosValue = (x11*x22+y11*y22+z11*z22)/tt;
if (cosValue > 1):
cosValue = 1;
if (cosValue < -1):
cosValue = -1;
angle = math.acos(cosValue);
return angle * 360 / (2 * math.pi);
def calculateAnglePwithEarth(sat = np.array([0,0,0]), pointing = np.array([0,0,0]), sun = np.array([0,0,0])):
modSat = np.sqrt(sat[0]*sat[0] + sat[1]*sat[1]+sat[2]*sat[2])
modPoint = np.sqrt(pointing[0]*pointing[0] + pointing[1]*pointing[1] + pointing[2]*pointing[2])
withLocalZenithAngle = (pointing[0] * sat[0] + pointing[1] * sat[1] + pointing[2] * sat[2]) / (modPoint*modSat)
innerM_sat_sun = sat[0] * sun[0] + sat[1] * sun[1] + sat[2] * sun[2]
cosAngle = innerM_sat_sun / (modSat * cons.au.value/1000)
isInSunSide = 1
if (cosAngle < -0.3385737): #cos109.79
isInSunSide = -1;
elif cosAngle >= -0.3385737 and cosAngle <= 0.3385737:
isInSunSide = 0;
return math.acos(withLocalZenithAngle)*180/math.pi,isInSunSide
# /**
# * *eCoor = ra, *eCoor+1 = dec
# */
def Cartesian2Equatorial(carCoor = np.array([0,0,0])):
eCoor = np.zeros(2)
if (carCoor[0] > 0 and carCoor[1] >= 0):
eCoor[0] = math.atan(carCoor[1] / carCoor[0]) * 360 / (2 * math.pi)
elif (carCoor[0] < 0):
eCoor[0] = (math.atan(carCoor[1] / carCoor[0]) + math.pi) * 360 / (2 * math.pi)
elif (carCoor[0] > 0 and carCoor[1] < 0):
eCoor[0] = (math.atan(carCoor[1] / carCoor[0]) + 2 * math.pi) * 360 / (2 * math.pi)
elif (carCoor[0] == 0 and carCoor[1] < 0):
eCoor[0] = 270
elif (carCoor[0] == 0 and carCoor[1] > 0):
eCoor[0] = 90
eCoor[1] = math.atan(carCoor[2] / np.sqrt(carCoor[0] * carCoor[0] + carCoor[1] * carCoor[1])) * 360 / (2 * math.pi)
return eCoor
class StrayLight(object):
def __init__(self, jtime = 2460843., sat = np.array([0,0,0]), radec = np.array([0,0])):
self.jtime = jtime
self.sat = sat
self.equator = coord.SkyCoord(radec[0]*u.degree, radec[1]*u.degree,frame='icrs')
self.ecliptic = self.equator.transform_to('barycentrictrueecliptic')
self.pointing = transRaDec2D(radec[0], radec[1])
self.slcdll=ctypes.CDLL('./libstraylight.dylib')
self.slcdll.Calculate.argtypes =[ctypes.c_double ,ctypes.POINTER(ctypes.c_double), ctypes.POINTER(ctypes.c_double),ctypes.POINTER(ctypes.c_double), ctypes.POINTER(ctypes.c_double)]
self.slcdll.PointSource.argtypes =[ctypes.c_double ,ctypes.POINTER(ctypes.c_double), ctypes.POINTER(ctypes.c_double),ctypes.POINTER(ctypes.c_double), ctypes.POINTER(ctypes.c_double)]
self.slcdll.EarthShine.argtypes =[ctypes.c_double ,ctypes.POINTER(ctypes.c_double), ctypes.POINTER(ctypes.c_double),ctypes.POINTER(ctypes.c_double), ctypes.POINTER(ctypes.c_double)]
self.slcdll.Zodiacal.argtypes =[ctypes.c_double ,ctypes.POINTER(ctypes.c_double), ctypes.POINTER(ctypes.c_double)]
self.slcdll.ComposeY.argtypes=[ctypes.POINTER(ctypes.c_double),ctypes.POINTER(ctypes.c_double),ctypes.POINTER(ctypes.c_double)]
self.slcdll.Init()
def getFilterAndCCD_Q(self, filter = 'i'):
ccd_fn = Instrument_dir + 'ccd/' + filterCCD[filter] + '.txt'
filter_fn = Instrument_dir + 'filters/' + filter + '.txt'
q_ccd_f = np.loadtxt(ccd_fn)
q_fil_f = np.loadtxt(filter_fn)
band_s = 2000
band_e = 11000
q_ccd = np.zeros([q_ccd_f.shape[0]+2,q_ccd_f.shape[1]])
q_ccd[1:-1,:] = q_ccd_f
q_ccd[0] = [band_s,0]
q_ccd[-1] = [band_e,0]
q_fil = np.zeros([q_fil_f.shape[0]+2,q_fil_f.shape[1]])
q_fil[1:-1,:] = q_fil_f
q_fil[0] = [band_s,0]
q_fil[-1] = [band_e,0]
q_fil_i = interpolate.interp1d(q_fil[:,0], q_fil[:,1])
q_ccd_i = interpolate.interp1d(q_ccd[:,0], q_ccd[:,1])
bands = np.arange(bandRange[filter][0], bandRange[filter][1],0.5)
q_ccd_fil = q_fil_i(bands)*q_ccd_i(bands)
return np.trapz(q_ccd_fil, bands)/(bandRange[filter][1]-bandRange[filter][0])
def caculateEarthShineFilter(self, filter = 'i', pixel_size_phy = 10 ):
sat = (ctypes.c_double*3)()
sat[:] = self.sat
ob = (ctypes.c_double*3)()
ob[:]=self.pointing
py1 = (ctypes.c_double*3)()
py2 = (ctypes.c_double*3)()
self.slcdll.ComposeY(ob,py1,py2)
earth_e1 = (ctypes.c_double*7)()
self.slcdll.EarthShine(self.jtime,sat,ob,py1,earth_e1)
earth_e2 = (ctypes.c_double*7)()
self.slcdll.EarthShine(self.jtime,sat,ob,py2,earth_e2)
band_earth_e1 = earth_e1[:][filterIndex[filter]]
band_earth_e2 = earth_e2[:][filterIndex[filter]]
q=self.getFilterAndCCD_Q(filter=filter)
p_lambda = filterPivotWave[filter]
c = cons.c.value
h = cons.h.value
pix_earth_e1 = band_earth_e1/(h*c/(p_lambda*1e-10))*pixel_size_phy*1e-6*pixel_size_phy*1e-6*q
pix_earth_e2 = band_earth_e2/(h*c/(p_lambda*1e-10))*pixel_size_phy*1e-6*pixel_size_phy*1e-6*q
if pix_earth_e1< pix_earth_e2:
return pix_earth_e1, py1[:]
else:
return pix_earth_e2, py2[:]
"""
calculate zodiacal call c++ program, seems to have some problem
"""
def calculateZodiacalFilter1(self, filter = 'i', pixel_size_phy = 10 ):
sat = (ctypes.c_double*3)()
sat[:] = self.sat
ob = (ctypes.c_double*3)()
ob[:]=self.pointing
zodical_e = (ctypes.c_double*7)()
self.slcdll.Zodiacal(self.jtime,ob,zodical_e)
ob1 = (ctypes.c_double*2)()
ob1[:] = np.array([self.ecliptic.lon.value, self.ecliptic.lat.value])
zodical_e1 = (ctypes.c_double*7)()
self.slcdll.Zodiacal1(ob1,zodical_e1)
band_zodical_e = zodical_e[:][filterIndex[filter]]
q=self.getFilterAndCCD_Q(filter=filter)
p_lambda = filterPivotWave[filter]
c = cons.c.value
h = cons.h.value
pix_zodical_e = band_zodical_e/(h*c/(p_lambda*1e-10))*pixel_size_phy*1e-6*pixel_size_phy*1e-6*q
return pix_zodical_e, band_zodical_e
"""
calculate zodiacal use python
"""
def calculateZaodiacalFilter2(self,filter = 'i', aper = 2, pixelsize = 0.074, sun_pos = np.array([0,0,0])):
spec, v_mag = self.calculateZaodicalSpec(longitude = self.ecliptic.lon.value, latitude = self.ecliptic.lat.value, sun_pos = sun_pos)
# spec = self.calculateZaodicalSpec(longitude = lon, latitude = lat)
throughputFn = Instrument_dir + 'throughputs/' + filter + '_throughput.txt'
throughput = np.loadtxt(throughputFn)
deltL = 0.5
lamb = np.arange(bandRange[filter][0], bandRange[filter][1], deltL)
speci = interpolate.interp1d(spec['WAVELENGTH'], spec['FLUX'])
y = speci(lamb)
# erg/s/cm2/A --> photo/s/m2/A
flux = y * lamb / (cons.h.value * cons.c.value) * 1e-13
throughput_i = interpolate.interp1d(throughput[:, 0], throughput[:, 1])
throughput_ = throughput_i(lamb)
sky_pix = np.trapz(flux*throughput_, lamb) * math.pi * aper*aper/4 * pixelsize * pixelsize
# sky_pix_e = np.trapz(y, lamb) * math.pi * aper*aper/4 * pixelsize * pixelsize/(10*10*1e-6*1e-6)*1e-7*1e4
return sky_pix, v_mag#, sky_pix_e
def caculateStarLightFilter(self, filter = 'i', pointYaxis = np.array([1,1,1]), pixel_size_phy = 10 ):
sat = (ctypes.c_double*3)()
sat[:] = self.sat
ob = (ctypes.c_double*3)()
ob[:]=self.pointing
py = (ctypes.c_double*3)()
py[:] = pointYaxis
q=self.getFilterAndCCD_Q(filter=filter)
p_lambda = filterPivotWave[filter]
c = cons.c.value
h = cons.h.value
star_e1 = (ctypes.c_double*7)()
self.slcdll.PointSource(self.jtime,sat,ob,py,star_e1)
band_star_e1 = star_e1[:][filterIndex[filter]]
pix_star_e1 = band_star_e1/(h*c/(p_lambda*1e-10))*pixel_size_phy*1e-6*pixel_size_phy*1e-6*q
return pix_star_e1
def caculateStrayLightFilter(self, filter = 'i', pixel_size_phy = 10 ):
sat = (ctypes.c_double*3)()
sat[:] = self.sat
ob = (ctypes.c_double*3)()
ob[:]=self.pointing
py1 = (ctypes.c_double*3)()
py2 = (ctypes.c_double*3)()
self.slcdll.ComposeY(ob,py1,py2)
earth_e1 = (ctypes.c_double*7)()
self.slcdll.EarthShine(self.jtime,sat,ob,py1,earth_e1)
earth_e2 = (ctypes.c_double*7)()
self.slcdll.EarthShine(self.jtime,sat,ob,py2,earth_e2)
zodical_e = (ctypes.c_double*7)()
self.slcdll.Zodiacal(self.jtime,ob,zodical_e)
band_earth_e1 = earth_e1[:][filterIndex[filter]]
band_earth_e2 = earth_e2[:][filterIndex[filter]]
# band_earth_e1 = 0
# band_earth_e2 = 0
band_zodical_e = zodical_e[:][filterIndex[filter]]
q=self.getFilterAndCCD_Q(filter=filter)
p_lambda = filterPivotWave[filter]
c = cons.c.value
h = cons.h.value
pix_earth_e1 = band_earth_e1/(h*c/(p_lambda*1e-10))*pixel_size_phy*1e-6*pixel_size_phy*1e-6*q
pix_earth_e2 = band_earth_e2/(h*c/(p_lambda*1e-10))*pixel_size_phy*1e-6*pixel_size_phy*1e-6*q
pix_zodical_e = band_zodical_e/(h*c/(p_lambda*1e-10))*pixel_size_phy*1e-6*pixel_size_phy*1e-6*q
# star_e1 = (ctypes.c_double*7)()
# self.slcdll.PointSource(self.jtime,sat,ob,py1,star_e1)
# # star_e2 = (ctypes.c_double*7)()
# # self.slcdll.PointSource(self.jtime,sat,ob,py2,star_e2)
# band_star_e1 = star_e1[:][filterIndex[filter]]
# # band_star_e2 = star_e2[:][filterIndex[filter]]
# pix_star_e1 = band_star_e1/(h*c/(p_lambda*1e-10))*pixel_size_phy*1e-6*pixel_size_phy*1e-6*q
pix_star_e1 = 0
# pix_star_e2 = band_star_e2/(h*c/(p_lambda*1e-10))*pixel_size_phy*1e-6*pixel_size_phy*1e-6*q
return pix_earth_e1+pix_zodical_e+pix_star_e1, pix_zodical_e, pix_earth_e1, pix_earth_e2
def caculateStrayLightGrating(self, grating = 'GU', pixel_size_phy = 10, normFilter = 'g', aper = 2, pixelsize = 0.074):
sat = (ctypes.c_double*3)()
sat[:] = self.sat
ob = (ctypes.c_double*3)()
ob[:]=self.pointing
py1 = (ctypes.c_double*3)()
py2 = (ctypes.c_double*3)()
self.slcdll.ComposeY(ob,py1,py2)
earth_e1 = (ctypes.c_double*7)()
self.slcdll.EarthShine(self.jtime,sat,ob,py1,earth_e1)
earth_e2 = (ctypes.c_double*7)()
self.slcdll.EarthShine(self.jtime,sat,ob,py2,earth_e2)
# zodical_e = (ctypes.c_double*7)()
# self.slcdll.Zodiacal(self.jtime,ob,zodical_e)
band_earth_e1 = earth_e1[:][filterIndex[normFilter]]
band_earth_e2 = earth_e2[:][filterIndex[normFilter]]
band_earth_e = np.min([band_earth_e1, band_earth_e2])
# band_earth_e1 = 0
# band_earth_e2 = 0
# band_zodical_e = zodical_e[:][filterIndex[normFilter]]
q=self.getFilterAndCCD_Q(filter=normFilter)
p_lambda = filterPivotWave[normFilter]
c = cons.c.value
h = cons.h.value
pix_earth_e = band_earth_e/(h*c/(p_lambda*1e-10))*pixel_size_phy*1e-6*pixel_size_phy*1e-6*q
# pix_earth_e2 = band_earth_e2/(h*c/(p_lambda*1e-10))*pixel_size_phy*1e-6*pixel_size_phy*1e-6*q
# pix_zodical_e = band_zodical_e/(h*c/(p_lambda*1e-10))*pixel_size_phy*1e-6*pixel_size_phy*1e-6*q
# pix_earth_e = np.min([pix_earth_e1, pix_earth_e2])
# zodical_v, zodical_spec = self.calculatSkylightBySpec(specType = 'zodical', filter = 'g', aper = 2, pixelsize = 0.074)
earthshine_v, earthshine_spec = self.calculatSkylightBySpec(specType = 'earthshine', filter = 'g', aper = aper, pixelsize = pixelsize)
lamb_earth = earthshine_spec['WAVELENGTH']
flux_earth = earthshine_spec['FLUX']*pix_earth_e/earthshine_v
print(pix_earth_e,earthshine_v)
earth_v_grating = 0
for s_order in SpecOrder:
thpFn = Instrument_dir + 'sls_conf/' + grating + '.Throughput.' + s_order + 'st.fits'
thp_ = Table.read(thpFn)
thpFn_i = interpolate.interp1d(thp_['WAVELENGTH'], thp_['SENSITIVITY'])
thp = thpFn_i(lamb_earth)
beamsEarth = np.trapz(flux_earth*thp,lamb_earth)* math.pi*aper*aper/4 * pixelsize * pixelsize
earth_v_grating = earth_v_grating + beamsEarth
print(beamsEarth)
# print(earthshine_v, pix_earth_e, earth_v_grating)
return earth_v_grating
def calculatSkylightBySpec(self, specType = 'earthshine', filter = 'g', aper = 2, pixelsize = 0.074, s = 2000, e = 11000):
specFn = ''
if specType == 'zodical':
specFn=Instrument_dir + 'sky/zodiacal.dat'
elif specType == 'earthshine':
specFn= Instrument_dir + 'sky/earthShine.dat'
spec = np.loadtxt(specFn)
throughputFn = Instrument_dir + 'throughputs/' + filter + '_throughput.txt'
throughput = np.loadtxt(throughputFn)
deltL = 0.5
lamb = np.arange(bandRange[filter][0], bandRange[filter][1], deltL)
speci = interpolate.interp1d(spec[:, 0], spec[:, 1])
y = speci(lamb)
# erg/s/cm2/A --> photo/s/m2/A
flux = y * lamb / (cons.h.value * cons.c.value) * 1e-13
throughput_i = interpolate.interp1d(throughput[:, 0], throughput[:, 1])
throughput_ = throughput_i(lamb)
sky_pix = np.trapz(flux*throughput_, lamb) * math.pi * aper*aper/4 * pixelsize * pixelsize
lamb = np.arange(s, e, deltL)
speci = interpolate.interp1d(spec[:, 0], spec[:, 1])
y = speci(lamb)
# erg/s/cm2/A --> photo/s/m2/A
flux = y * lamb / (cons.h.value * cons.c.value) * 1e-13
return sky_pix, Table(np.array([lamb, flux]).T,names=('WAVELENGTH', 'FLUX'))
def calculateZaodicalSpec(self,longitude = 50, latitude = 60, sun_pos = np.array([0,0,0])):
from scipy.interpolate import interp2d
from scipy.interpolate import griddata
z_map_fn = Instrument_dir + 'Zodiacal_map1.dat'
ZL = np.loadtxt(z_map_fn)
# zl_sh = ZL.shape
# x = np.arange(0,zl_sh[1],1)
# y = np.arange(0,zl_sh[0],1)
x = ZL[0,1:]
y = ZL[1:,0]
X,Y = np.meshgrid(x,y)
# f_sur = interp2d(X,Y,ZL,kind='linear')
sun_radec = Cartesian2Equatorial(sun_pos)
sun_eclip = coord.SkyCoord(sun_radec[0]*u.degree, sun_radec[1]*u.degree,frame='icrs')
sun_equtor = sun_eclip.transform_to('barycentrictrueecliptic')
longitude = longitude - (sun_equtor.lon*u.degree).value
longitude = np.abs(longitude)
print((sun_equtor.lon*u.degree).value)
if (longitude > 180):
longitude = 360 - longitude
latitude = np.abs(latitude)
lo = longitude
la = latitude
zl = griddata((X.flatten(),Y.flatten()),ZL[1:,1:].flatten(),(la,lo), method='cubic').min()
zl = zl*(math.pi*math.pi)/(180*180)/(3600*3600)*1e-4*1e7*1e-8*1e-4
# print(zl , '\n')
zodical_fn = Instrument_dir + 'sky/zodiacal.dat'
spec = np.loadtxt(zodical_fn)
speci = interpolate.interp1d(spec[:, 0], spec[:, 1])
flux5000 = speci(5000)
f_ration = zl/flux5000
v_mag = np.log10(f_ration)*(-2.5)+22.1
# print("factor:", v_mag, lo, la)
return Table(np.array([spec[:,0], spec[:,1]*f_ration]).T,names=('WAVELENGTH', 'FLUX')), v_mag
def testZodiacal(lon = 285.04312526255366, lat = 30.):
c_eclip = coord.SkyCoord(lon*u.degree, lat*u.degree,frame='barycentrictrueecliptic')
c_equtor = c_eclip.transform_to('icrs')
sl = StrayLight(jtime = 2459767.00354975, sat = np.array([]), radec = np.array([(c_equtor.ra*u.degree).value, (c_equtor.dec*u.degree).value]))
e_zol, v_mag = sl.calculateZaodiacalFilter2(filter = 'i', sun_pos=np.array([-3.70939436e+07, 1.35334903e+08, 5.86673104e+07]))
print(e_zol)
# ju=2.4608437604166665e+06
# sat = (ctypes.c_double*3)()
# sat[:] = np.array([5873.752, -1642.066, 2896.744])
# ob = (ctypes.c_double*3)()
# ob[:]=np.array([0.445256,0.76061,-0.47246])
# sl = StrayLight(jtime = ju, sat = np.array([5873.752, -1642.066, 2896.744]), pointing = np.array([-0.445256,-0.76061,0.47246]))
fn = '/Users/zhangxin/Work/SurveyPlan/point/csst_survey_sim_20211028/E17.5_b17.5_beta_11.6_opt_transtime_1_CMG_1_dp_2_0.25_da_10_Texp_1.5_DEC60_500_0.1_800_1000_+5deg.dat'
surveylist = np.loadtxt(fn)
sky_pix = np.zeros([surveylist.shape[0],7])
i = 693438
c_eclip = coord.SkyCoord(surveylist[:,2]*u.degree, surveylist[:,1]*u.degree,frame='barycentrictrueecliptic')
c_equtor = c_eclip.transform_to('icrs')
# pointing = transRaDec2D((c_equtor[i].ra*u.degree).value, (c_equtor[i].dec*u.degree).value)
# # print(ju, pointing, surveylist[i,3:9])
# ju = surveylist[i,0]
# sl = StrayLight(jtime = ju, sat = surveylist[i,3:6], pointing = pointing)
# sl.caculateStrayLightGrating(grating = 'GI', pixel_size_phy = 10, normFilter = 'g')
for i in np.arange(surveylist.shape[0]):
print(i)
if i > 300:
break
# if i != 300:
# continue
# if i != 693438:
# continue
ju = surveylist[i,0]
pointing = transRaDec2D((c_equtor[i].ra*u.degree).value, (c_equtor[i].dec*u.degree).value)
# print(ju, pointing, surveylist[i,3:9])
sl = StrayLight(jtime = ju, sat = surveylist[i,3:6], radec = np.array([(c_equtor[i].ra*u.degree).value, (c_equtor[i].dec*u.degree).value]))
# strayl_i,s_zoldical ,s_earth, s_earth1 = sl.caculateStrayLightFilter(filter = 'i')
# print(i,strayl_i,s_zoldical,s_earth, s_earth1)
p_cart= transRaDec2D((c_equtor[i].ra*u.degree).value, (c_equtor[i].dec*u.degree).value)
sky_pix[i,6] = getAngle132(x1 = surveylist[i,6], y1 = surveylist[i,7], z1 = surveylist[i,8], x2 = p_cart[0], y2 = p_cart[1], z2 = p_cart[2], x3 = 0, y3 = 0, z3 = 0)
earthZenithAngle,isInSunSide = calculateAnglePwithEarth(sat = surveylist[i,3:6], pointing = pointing, sun = surveylist[i,6:9])
sky_pix[i,4] = earthZenithAngle
sky_pix[i,5] = isInSunSide
e1,py = sl.caculateEarthShineFilter(filter = 'i')
# e2, e2_ = sl.calculateZodiacalFilter1(filter = 'i')
e3, v_mag = sl.calculateZaodiacalFilter2(filter = 'i', sun_pos=surveylist[i,6:9])
e4 = sl.caculateStarLightFilter(filter = 'i',pointYaxis = py)
# e4 = 0
# e4 = sl.caculateStrayLightGrating(grating = 'GI', pixel_size_phy = 10, normFilter = 'g')
sky_pix[i,0] = e1
sky_pix[i,1] = e3
sky_pix[i,2] = e4
sky_pix[i,3] = v_mag
print(e1,e3,e4)
# print(e1,e2,e3,e4)