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Merge pull request #951 from rzellem/develop
v1.10.0 - updates to priors
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import numpy as np | ||
import matplotlib.pyplot as plt | ||
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from exotic.api.elca import transit, glc_fitter | ||
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if __name__ == "__main__": | ||
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# simulate input data | ||
epochs = np.random.choice(np.arange(100), 3, replace=False) | ||
input_data = [] | ||
local_bounds = [] | ||
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for i, epoch in enumerate(epochs): | ||
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nobs = np.random.randint(50) + 100 | ||
phase = np.linspace(-0.02-0.01*np.random.random(), 0.02+0.01*np.random.random(), nobs) | ||
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prior = { | ||
'rprs':0.1, # Rp/Rs | ||
'ars':14.25, # a/Rs | ||
'per':3.5, # Period [day] | ||
'inc':87.5, # Inclination [deg] | ||
'u0': 1.349, 'u1': -0.709, # exotethys - limb darkening (nonlinear) | ||
'u2': 0.362, 'u3': -0.087, | ||
'ecc':0, # Eccentricity | ||
'omega':0, # Arg of periastron | ||
'tmid':1, # time of mid transit [day], | ||
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'a1':5000 + 2500*np.random.random(), # airmass coeffcients | ||
'a2':-0.25 + 0.1*np.random.random() | ||
} | ||
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time = prior['tmid'] + prior['per']*(phase+epoch) | ||
stime = time-time[0] | ||
alt = 90* np.cos(4*stime-np.pi/6) | ||
airmass = 1./np.cos( np.deg2rad(90-alt)) | ||
model = transit(time, prior)*prior['a1']*np.exp(prior['a2']*airmass) | ||
flux = model*np.random.normal(1, np.mean(np.sqrt(model)/model)*0.25, model.shape) | ||
ferr = flux**0.5 | ||
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input_data.append({ | ||
'time':time, | ||
'flux':flux, | ||
'ferr':ferr, | ||
'airmass':airmass, | ||
'priors':prior | ||
}) | ||
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# individual properties | ||
local_bounds.append({ | ||
'rprs':[0,0.2], | ||
'a2':[-0.5,0] | ||
}) | ||
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#plt.plot(time,flux,marker='o') | ||
#plt.plot(time, model,ls='-') | ||
#plt.show() | ||
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# shared properties between light curves | ||
global_bounds = { | ||
'per':[3.5-0.0001,3.5+0.0001], | ||
'tmid':[1-0.01,1+0.01], | ||
'ars':[14,14.5], | ||
} | ||
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print('epochs:',epochs) | ||
myfit = glc_fitter(input_data, global_bounds, local_bounds, individual_fit=False, verbose=True) | ||
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myfit.plot_bestfit() | ||
plt.show() | ||
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myfit.plot_triangle() | ||
plt.show() | ||
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myfit.plot_bestfits() | ||
plt.show() | ||
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from exotic.exotic import LimbDarkening | ||
from exotic.api.elca import transit, lc_fitter | ||
from ldtk.filters import create_tess | ||
import matplotlib.pyplot as plt | ||
import numpy as np | ||
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if __name__ == "__main__": | ||
prior = { | ||
'rprs': 0.02, # Rp/Rs | ||
'ars': 14.25, # a/Rs | ||
'per': 3.33, # Period [day] | ||
'inc': 88.5, # Inclination [deg] | ||
'u0': 0, 'u1': 0, 'u2': 0, 'u3': 0, # limb darkening (nonlinear) | ||
'ecc': 0.5, # Eccentricity | ||
'omega': 120, # Arg of periastron | ||
'tmid': 0.75, # Time of mid transit [day], | ||
'a1': 50, # Airmass coefficients | ||
'a2': 0., # trend = a1 * np.exp(a2 * airmass) | ||
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'teff':5000, | ||
'tefferr':50, | ||
'met': 0, | ||
'meterr': 0, | ||
'logg': 3.89, | ||
'loggerr': 0.01 | ||
} | ||
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# example generating LD coefficients | ||
tessfilter = create_tess() | ||
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ld_obj = LimbDarkening( | ||
teff=prior['teff'], teffpos=prior['tefferr'], teffneg=prior['tefferr'], | ||
met=prior['met'], metpos=prior['meterr'], metneg=prior['meterr'], | ||
logg=prior['logg'], loggpos=prior['loggerr'], loggneg=prior['loggerr'], | ||
wl_min=tessfilter.wl.min(), wl_max=tessfilter.wl.max(), filter_type="Clear") | ||
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ld0, ld1, ld2, ld3, filt, wlmin, wlmax = ld_obj.nonlinear_ld() | ||
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prior['u0'],prior['u1'],prior['u2'],prior['u3'] = [ld0[0], ld1[0], ld2[0], ld3[0]] | ||
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time = np.linspace(0.7, 0.8, 1000) # [day] | ||
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# simulate extinction from airmass | ||
stime = time-time[0] | ||
alt = 90 * np.cos(4*stime-np.pi/6) | ||
#airmass = 1./np.cos(np.deg2rad(90-alt)) | ||
airmass = np.zeros(time.shape[0]) | ||
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# GENERATE NOISY DATA | ||
data = transit(time, prior)*prior['a1']*np.exp(prior['a2']*airmass) | ||
data += np.random.normal(0, prior['a1']*250e-6, len(time)) | ||
dataerr = np.random.normal(300e-6, 50e-6, len(time)) + np.random.normal(300e-6, 50e-6, len(time)) | ||
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# add bounds for free parameters only | ||
mybounds = { | ||
'rprs': [0, 0.1], | ||
'tmid': [prior['tmid']-0.01, prior['tmid']+0.01], | ||
'ars': [13, 15], | ||
#'a2': [0, 0.3] # uncomment if you want to fit for airmass | ||
# never list 'a1' in bounds, it is perfectly correlated to exp(a2*airmass) | ||
# and is solved for during the fit | ||
} | ||
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myfit = lc_fitter(time, data, dataerr, airmass, prior, mybounds, mode='ns') | ||
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for k in myfit.bounds.keys(): | ||
print(f"{myfit.parameters[k]:.6f} +- {myfit.errors[k]}") | ||
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fig, axs = myfit.plot_bestfit() | ||
plt.tight_layout() | ||
plt.show() | ||
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fig = myfit.plot_triangle() | ||
plt.tight_layout() | ||
plt.show() |
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