class TestSimulator(object):
@classmethod
def setup_class(self):
self.N = 1024
self.mean = 0.5
self.dt = 0.125
self.rms = 1.0
self.simulator = Simulator(N=self.N,
mean=self.mean,
dt=self.dt,
rms=self.rms)
self.simulator_odd = Simulator(N=self.N + 1,
mean=self.mean,
dt=self.dt,
rms=self.rms)
def calculate_lag(self, lc, h, delay):
"""
Class method to calculate lag between two light curves.
"""
s = lc.counts
output = self.simulator.simulate(s, h, 'same')[delay:]
s = s[delay:]
time = lc.time[delay:]
output = output.counts
lc1 = Lightcurve(time, s)
lc2 = Lightcurve(time, output)
cross = Crossspectrum(lc1, lc2)
cross = cross.rebin(0.0075)
return np.angle(cross.power) / (2 * np.pi * cross.freq)
def test_simulate_with_seed(self):
"""
Simulate with a random seed value.
"""
self.simulator = Simulator(N=self.N,
mean=self.mean,
dt=self.dt,
rms=self.rms,
random_state=12)
assert len(self.simulator.simulate(2).counts), self.N
def test_simulate_with_tstart(self):
"""
Simulate with a random seed value.
"""
tstart = 10.0
self.simulator = Simulator(N=self.N,
mean=self.mean,
dt=self.dt,
rms=self.rms,
tstart=tstart)
assert self.simulator.time[0] == tstart
def test_simulate_with_random_state(self):
self.simulator = Simulator(N=self.N,
mean=self.mean,
dt=self.dt,
rms=self.rms,
random_state=np.random.RandomState(12))
def test_simulate_with_incorrect_arguments(self):
with pytest.raises(ValueError):
self.simulator.simulate(1, 2, 3, 4)
def test_simulate_channel(self):
"""
Simulate an energy channel.
"""
self.simulator.simulate_channel('3.5-4.5', 'generalized_lorentzian',
[1, 2, 3, 4])
self.simulator.delete_channel('3.5-4.5')
def test_simulate_channel_odd(self):
"""
Simulate an energy channel.
"""
self.simulator_odd.simulate_channel('3.5-4.5',
'generalized_lorentzian',
[1, 2, 3, 4])
self.simulator_odd.delete_channel('3.5-4.5')
def test_incorrect_simulate_channel(self):
"""Test simulating a channel that already exists."""
self.simulator.simulate_channel('3.5-4.5', 2)
with pytest.raises(KeyError):
self.simulator.simulate_channel('3.5-4.5', 2)
self.simulator.delete_channel('3.5-4.5')
def test_get_channel(self):
"""
Retrieve an energy channel after it has been simulated.
"""
self.simulator.simulate_channel('3.5-4.5', 2)
lc = self.simulator.get_channel('3.5-4.5')
self.simulator.delete_channel('3.5-4.5')
def test_get_channels(self):
"""
Retrieve multiple energy channel after it has been simulated.
"""
self.simulator.simulate_channel('3.5-4.5', 2)
self.simulator.simulate_channel('4.5-5.5', 'smoothbknpo', [1, 2, 3, 4])
lc = self.simulator.get_channels(['3.5-4.5', '4.5-5.5'])
self.simulator.delete_channels(['3.5-4.5', '4.5-5.5'])
def test_get_all_channels(self):
""" Retrieve all energy channels. """
self.simulator.simulate_channel('3.5-4.5', 2)
self.simulator.simulate_channel('4.5-5.5', 1)
lc = self.simulator.get_all_channels()
self.simulator.delete_channels(['3.5-4.5', '4.5-5.5'])
def test_count_channels(self):
"""
Count energy channels after they have been simulated.
"""
self.simulator.simulate_channel('3.5-4.5', 2)
self.simulator.simulate_channel('4.5-5.5', 1)
assert self.simulator.count_channels() == 2
self.simulator.delete_channels(['3.5-4.5', '4.5-5.5'])
def test_delete_incorrect_channel(self):
"""
Test if deleting incorrect channel raises a
keyerror exception.
"""
with pytest.raises(KeyError):
self.simulator.delete_channel('3.5-4.5')
def test_delete_incorrect_channels(self):
"""
Test if deleting incorrect channels raises a
keyerror exception.
"""
with pytest.raises(KeyError):
self.simulator.delete_channels(['3.5-4.5', '4.5-5.5'])
def test_init_failure_with_noninteger_N(self):
with pytest.raises(ValueError):
simulator = Simulator(N=1024.5,
mean=self.mean,
rms=self.rms,
dt=self.dt)
def test_init_fails_if_arguments_missing(self):
with pytest.raises(TypeError):
simulator = Simulator()
@pytest.mark.parametrize("model_kind", ["astropy", "array", "float"])
def test_rms_and_mean(self, model_kind):
np.random.seed(103442357)
nbins = 8192
dt = 1 / 128
mean = 100
rms = 0.2
nsim = 128
astropy_model = astropy.modeling.models.PowerLaw1D(alpha=2)
if model_kind == "astropy":
model = astropy_model
elif model_kind == "array":
freq_fine = np.fft.rfftfreq(nbins, d=dt)[1:]
model = astropy_model(freq_fine)
elif model_kind == "float":
model = 2.0
lc_all = [self.simulator.simulate(model) for i in range(nsim)]
mean_all = np.mean([np.mean(lc.counts) for lc in lc_all])
std_all = np.mean([np.std(lc.counts) for lc in lc_all])
assert np.isclose(mean_all, self.mean, rtol=0.001)
assert np.isclose(std_all / mean_all, self.rms, rtol=0.001)
pds_all = [Powerspectrum(lc_all[i]) for i in range(nsim)]
pds = pds_all[0]
model_compare = (mc := astropy_model(
pds.freq)) / (np.sum(mc) * pds.df) * rms**2
ratios = [pds.power / model_compare for pds in pds_all]
assert np.all([np.mean(rat) / (np.std(rat) * 3) < 1 for rat in ratios])
def test_rms_zero_mean(self):
nsim = 1000
mean = 0.0
sim = Simulator(dt=self.dt, N=self.N, rms=self.rms, mean=mean)
lc_all = [sim.simulate(-2.0) for i in range(nsim)]
mean_all = np.mean([np.mean(lc.counts) for lc in lc_all])
std_all = np.mean([np.std(lc.counts) for lc in lc_all])
assert np.isclose(mean_all, mean, rtol=0.1)
assert np.isclose(std_all, self.rms, rtol=0.1)
def test_simulate_powerlaw(self):
"""
Simulate light curve from power law spectrum.
"""
assert len(self.simulator.simulate(2).counts), 1024
def test_simulate_powerlaw_odd(self):
"""
Simulate light curve from power law spectrum.
"""
assert len(self.simulator_odd.simulate(2).counts), 2039
def test_compare_powerlaw(self):
"""
Compare simulated power spectrum with actual one.
"""
B, N, red_noise, dt = 2, 1024, 10, 1
self.simulator = Simulator(N=N,
dt=dt,
mean=5,
rms=1,
red_noise=red_noise)
lc = [self.simulator.simulate(B) for i in range(1, 30)]
simulated = self.simulator.powerspectrum(lc, lc[0].tseg)
w = np.fft.rfftfreq(N, d=dt)[1:]
actual = np.power((1 / w), B / 2)[:-1]
actual_prob = actual / float(sum(actual))
simulated_prob = simulated / float(sum(simulated))
assert np.all(
np.abs(actual_prob - simulated_prob) < 3 * np.sqrt(actual_prob))
def test_simulate_powerspectrum(self):
"""
Simulate light curve from any power spectrum.
"""
s = np.random.rand(1024)
assert len(self.simulator.simulate(s)), self.N
def test_simulate_model_pars_not_list_or_dict(self):
"""
Simulate light curve using lorentzian model.
"""
with pytest.raises(ValueError) as excinfo:
self.simulator.simulate('generalized_lorentzian', 12345)
assert "Params should be list or dictionary!" in str(excinfo.value)
def test_simulate_lorentzian(self):
"""
Simulate light curve using lorentzian model.
"""
assert len(
self.simulator.simulate('generalized_lorentzian',
[1, 2, 3, 4])), 1024
def test_simulate_lorentzian_odd(self):
"""
Simulate light curve using lorentzian model.
"""
assert len(
self.simulator_odd.simulate('generalized_lorentzian',
[1, 2, 3, 4])), 1024
def test_compare_lorentzian(self):
"""
Compare simulated lorentzian spectrum with original spectrum.
"""
N, red_noise, dt = 1024, 10, 1
self.simulator = Simulator(N=N,
dt=dt,
mean=0.1,
rms=0.4,
red_noise=red_noise)
lc = [
self.simulator.simulate('generalized_lorentzian',
[0.3, 0.9, 0.6, 0.5])
for i in range(1, 30)
]
simulated = self.simulator.powerspectrum(lc, lc[0].tseg)
w = np.fft.rfftfreq(N, d=dt)[1:]
actual = models.generalized_lorentzian(w, [0.3, 0.9, 0.6, 0.5])[:-1]
actual_prob = actual / float(sum(actual))
simulated_prob = simulated / float(sum(simulated))
assert np.all(
np.abs(actual_prob - simulated_prob) < 3 * np.sqrt(actual_prob))
def test_simulate_smoothbknpo(self):
"""
Simulate light curve using smooth broken power law model.
"""
assert len(self.simulator.simulate('smoothbknpo', [1, 2, 3, 4])), 1024
def test_compare_smoothbknpo(self):
"""
Compare simulated smooth broken power law spectrum with original
spectrum.
"""
N, red_noise, dt = 1024, 10, 1
self.simulator = Simulator(N=N,
dt=dt,
mean=0.1,
rms=0.7,
red_noise=red_noise)
lc = [
self.simulator.simulate('smoothbknpo', [0.6, 0.2, 0.6, 0.5])
for i in range(1, 30)
]
simulated = self.simulator.powerspectrum(lc, lc[0].tseg)
w = np.fft.rfftfreq(N, d=dt)[1:]
actual = models.smoothbknpo(w, [0.6, 0.2, 0.6, 0.5])[:-1]
actual_prob = actual / float(sum(actual))
simulated_prob = simulated / float(sum(simulated))
assert np.all(
np.abs(actual_prob - simulated_prob) < 3 * np.sqrt(actual_prob))
def test_simulate_GeneralizedLorentz1D_str(self):
"""
Simulate a light curve using the GeneralizedLorentz1D model
called as a string
"""
assert len(
self.simulator.simulate('GeneralizedLorentz1D', {
'x_0': 10,
'fwhm': 1.,
'value': 10.,
'power_coeff': 2
})), 1024
def test_simulate_GeneralizedLorentz1D_odd_str(self):
"""
Simulate a light curve using the GeneralizedLorentz1D model
called as a string
"""
assert len(
self.simulator_odd.simulate('GeneralizedLorentz1D', {
'x_0': 10,
'fwhm': 1.,
'value': 10.,
'power_coeff': 2
})), 2039
def test_simulate_GeneralizedLorentz1D(self):
"""
Simulate a light curve using the GeneralizedLorentz1D model
called as a astropy.modeling.Model class
"""
mod = models.GeneralizedLorentz1D(x_0=10,
fwhm=1.,
value=10.,
power_coeff=2)
assert len(self.simulator.simulate(mod)), 1024
def test_simulate_SmoothBrokenPowerLaw_str(self):
"""
Simulate a light curve using SmoothBrokenPowerLaw model
called as a string
"""
assert len(
self.simulator.simulate('SmoothBrokenPowerLaw', {
'norm': 1.,
'gamma_low': 1.,
'gamma_high': 2.,
'break_freq': 1.
})), 1024
def test_simulate_SmoothBrokenPowerLaw(self):
"""
Simulate a light curve using SmoothBrokenPowerLaw model
called as a astropy.modeling.Model class
"""
mod = models.SmoothBrokenPowerLaw(norm=1.,
gamma_low=1.,
gamma_high=2.,
break_freq=1.)
assert len(self.simulator.simulate(mod)), 1024
def test_simulate_generic_model(self):
"""
Simulate a light curve using a generic model
called as a astropy.modeling.Model class
"""
mod = astropy.modeling.models.Gaussian1D(amplitude=10.,
mean=1.,
stddev=2.)
assert len(self.simulator.simulate(mod)), 1024
def test_simulate_generic_model_odd(self):
"""
Simulate a light curve using a generic model
called as a astropy.modeling.Model class
"""
mod = astropy.modeling.models.Gaussian1D(amplitude=10.,
mean=1.,
stddev=2.)
assert len(self.simulator_odd.simulate(mod)), 2039
@pytest.mark.parametrize("poisson", [True, False])
def test_compare_composite(self, poisson):
"""
Compare the PSD of a light curve simulated using a composite model
(using SmoothBrokenPowerLaw plus GeneralizedLorentz1D)
with the actual model
"""
N = 50000
dt = 0.01
m = 30000.
self.simulator = Simulator(N=N,
mean=m,
dt=dt,
rms=self.rms,
poisson=poisson)
smoothbknpo = \
models.SmoothBrokenPowerLaw(norm=1., gamma_low=1., gamma_high=2.,
break_freq=1.)
lorentzian = models.GeneralizedLorentz1D(x_0=10,
fwhm=1.,
value=10.,
power_coeff=2.)
myModel = smoothbknpo + lorentzian
lc = [self.simulator.simulate(myModel) for i in range(1, 50)]
simulated = self.simulator.powerspectrum(lc, lc[0].tseg)
w = np.fft.rfftfreq(N, d=dt)[1:]
actual = myModel(w)[:-1]
actual_prob = actual / float(sum(actual))
simulated_prob = simulated / float(sum(simulated))
assert np.all(
np.abs(actual_prob - simulated_prob) < 3 * np.sqrt(actual_prob))
def test_simulate_wrong_model(self):
"""
Simulate with a model that does not exist.
"""
with pytest.raises(ValueError):
self.simulator.simulate('unsupported', [0.6, 0.2, 0.6, 0.5])
def test_construct_simple_ir(self):
"""
Construct simple impulse response.
"""
t0, w = 100, 500
assert len(self.simulator.simple_ir(t0, w)) == \
(t0+w)/self.simulator.dt
def test_construct_simple_ir_odd(self):
"""
Construct simple impulse response.
"""
t0, w = 100, 500
assert len(self.simulator_odd.simple_ir(t0, w)) == \
(t0+w)/self.simulator.dt
def test_construct_relativistic_ir(self):
"""
Construct relativistic impulse response.
"""
t1, t3 = 3, 10
ir = self.simulator.relativistic_ir(t1=t1, t3=t3)
assert np.allclose(ir[:int(t1 / self.simulator.dt)], 0)
assert ir[int(t1 / self.simulator.dt)] == 1
def test_construct_relativistic_ir_odd(self):
"""
Construct relativistic impulse response.
"""
t1, t3 = 3, 10
ir = self.simulator_odd.relativistic_ir(t1=t1, t3=t3)
assert np.allclose(ir[:int(t1 / self.simulator_odd.dt)], 0)
assert ir[int(t1 / self.simulator_odd.dt)] == 1
def test_simulate_simple_impulse(self):
"""
Simulate light curve from simple impulse response.
"""
lc = sampledata.sample_data()
s = lc.counts
h = self.simulator.simple_ir(10, 1, 1)
_ = self.simulator.simulate(s, h)
def test_simulate_simple_impulse_odd(self):
"""
Simulate light curve from simple impulse response.
"""
lc = sampledata.sample_data()
s = lc.counts
h = self.simulator_odd.simple_ir(10, 1, 1)
_ = self.simulator_odd.simulate(s, h)
def test_powerspectrum(self):
"""
Create a power spectrum from light curve.
"""
lc = self.simulator.simulate(2)
self.simulator.powerspectrum(lc)
def test_powerspectrum_odd(self):
"""
Create a power spectrum from light curve.
"""
lc = self.simulator_odd.simulate(2)
self.simulator_odd.powerspectrum(lc)
def test_simulate_relativistic_impulse(self):
"""
Simulate light curve from relativistic impulse response.
"""
lc = sampledata.sample_data()
s = lc.counts
h = self.simulator.relativistic_ir()
output = self.simulator.simulate(s, h)
def test_filtered_simulate(self):
"""
Simulate light curve using 'filtered' mode.
"""
lc = sampledata.sample_data()
s = lc.counts
h = self.simulator.simple_ir()
output = self.simulator.simulate(s, h, 'filtered')
def test_filtered_simulate_odd(self):
"""
Simulate light curve using 'filtered' mode.
"""
lc = sampledata.sample_data()
s = lc.counts
h = self.simulator_odd.simple_ir()
output = self.simulator_odd.simulate(s, h, 'filtered')
def test_simple_lag_spectrum(self):
"""
Simulate light curve from simple impulse response and
compute lag spectrum.
"""
lc = sampledata.sample_data()
h = self.simulator.simple_ir(start=14, width=1)
delay = int(15 / lc.dt)
lag = self.calculate_lag(lc, h, delay)
bins = np.arange(lag.size)
v_cutoff = 1.0 / (2 * 15.0)
dist = (v_cutoff - 0.0075) / 0.0075
spec_fun = interp1d(bins, lag)
h_cutoff = spec_fun(dist)
assert np.abs(15 - h_cutoff) < np.sqrt(15)
def test_relativistic_lag_spectrum(self):
"""
Simulate light curve from relativistic impulse response and
compute lag spectrum.
"""
lc = sampledata.sample_data()
h = self.simulator.relativistic_ir(t1=3, t2=4, t3=10)
delay = int(4 / lc.dt)
lag = self.calculate_lag(lc, h, delay)
v_cutoff = 1.0 / (2 * 4)
h_cutoff = lag[int((v_cutoff - 0.0075) * 1 / 0.0075)]
assert np.abs(4 - h_cutoff) < np.sqrt(4)
def test_position_varying_channels(self):
"""
Tests lags for multiple energy channels with each channel
having same intensity and varying position.
"""
lc = sampledata.sample_data()
s = lc.counts
h = []
h.append(self.simulator.simple_ir(start=4, width=1))
h.append(self.simulator.simple_ir(start=9, width=1))
delays = [int(5 / lc.dt), int(10 / lc.dt)]
outputs = []
for i in h:
lc2 = self.simulator.simulate(s, i)
lc2 = lc2.shift(-lc2.time[0] + lc.time[0])
outputs.append(lc2)
cross = [Crossspectrum(lc, lc2).rebin(0.0075) for lc2 in outputs]
lags = [np.angle(c.power) / (2 * np.pi * c.freq) for c in cross]
v_cutoffs = [1.0 / (2.0 * 5), 1.0 / (2.0 * 10)]
h_cutoffs = [
lag[int((v - 0.0075) * 1 / 0.0075)]
for lag, v in zip(lags, v_cutoffs)
]
assert np.abs(5 - h_cutoffs[0]) < np.sqrt(5)
assert np.abs(10 - h_cutoffs[1]) < np.sqrt(10)
def test_intensity_varying_channels(self):
"""
Tests lags for multiple energy channels with each channel
having same position and varying intensity.
"""
lc = sampledata.sample_data()
s = lc.counts
h = []
h.append(self.simulator.simple_ir(start=4, width=1, intensity=10))
h.append(self.simulator.simple_ir(start=4, width=1, intensity=20))
delay = int(5 / lc.dt)
outputs = []
for i in h:
lc2 = self.simulator.simulate(s, i)
lc2 = lc2.shift(-lc2.time[0] + lc.time[0])
outputs.append(lc2)
cross = [Crossspectrum(lc, lc2).rebin(0.0075) for lc2 in outputs]
lags = [np.angle(c.power) / (2 * np.pi * c.freq) for c in cross]
v_cutoff = 1.0 / (2.0 * 5)
h_cutoffs = [
lag[int((v_cutoff - 0.0075) * 1 / 0.0075)] for lag in lags
]
assert np.abs(5 - h_cutoffs[0]) < np.sqrt(5)
assert np.abs(5 - h_cutoffs[1]) < np.sqrt(5)
def test_io(self):
sim = Simulator(N=self.N, dt=self.dt, rms=self.rms, mean=self.mean)
sim.write('sim.pickle')
sim = sim.read('sim.pickle')
assert sim.N == self.N
os.remove('sim.pickle')
def test_io_with_unsupported_format(self):
sim = Simulator(N=self.N, dt=self.dt, rms=self.rms, mean=self.mean)
with pytest.raises(KeyError):
# Also use the deprecated format_, just because
sim.write('sim.hdf5', format_='hdf5')
sim.write('sim.pickle', fmt='pickle')
with pytest.raises(KeyError):
sim.read('sim.pickle', format_='hdf5')
os.remove('sim.pickle')
class TestSimulator(object):
@classmethod
def setup_class(self):
self.simulator = Simulator(N=1024, mean=0.5, dt=0.125)
self.simulator_odd = Simulator(N=2039, mean=0.5, dt=0.125)
def calculate_lag(self, lc, h, delay):
"""
Class method to calculate lag between two light curves.
"""
s = lc.counts
output = self.simulator.simulate(s, h, 'same')[delay:]
s = s[delay:]
time = lc.time[delay:]
lc1 = Lightcurve(time, s)
lc2 = Lightcurve(time, output)
cross = Crossspectrum(lc1, lc2)
cross = cross.rebin(0.0075)
return np.angle(cross.power) / (2 * np.pi * cross.freq)
def test_simulate_with_seed(self):
"""
Simulate with a random seed value.
"""
self.simulator = Simulator(N=1024, random_state=12)
assert len(self.simulator.simulate(2).counts), 1024
def test_simulate_with_tstart(self):
"""
Simulate with a random seed value.
"""
tstart = 10.0
self.simulator = Simulator(N=1024, tstart=tstart)
assert self.simulator.time[0] == tstart
def test_simulate_with_random_state(self):
self.simulator = Simulator(N=1024,
random_state=np.random.RandomState(12))
def test_simulate_with_incorrect_arguments(self):
with pytest.raises(ValueError):
self.simulator.simulate(1, 2, 3, 4)
def test_simulate_channel(self):
"""
Simulate an energy channel.
"""
self.simulator.simulate_channel('3.5-4.5', 'generalized_lorentzian',
[1, 2, 3, 4])
self.simulator.delete_channel('3.5-4.5')
def test_simulate_channel_odd(self):
"""
Simulate an energy channel.
"""
self.simulator_odd.simulate_channel('3.5-4.5',
'generalized_lorentzian',
[1, 2, 3, 4])
self.simulator_odd.delete_channel('3.5-4.5')
def test_incorrect_simulate_channel(self):
"""Test simulating a channel that already exists."""
self.simulator.simulate_channel('3.5-4.5', 2)
with pytest.raises(KeyError):
self.simulator.simulate_channel('3.5-4.5', 2)
self.simulator.delete_channel('3.5-4.5')
def test_get_channel(self):
"""
Retrieve an energy channel after it has been simulated.
"""
self.simulator.simulate_channel('3.5-4.5', 2)
lc = self.simulator.get_channel('3.5-4.5')
self.simulator.delete_channel('3.5-4.5')
def test_get_channels(self):
"""
Retrieve multiple energy channel after it has been simulated.
"""
self.simulator.simulate_channel('3.5-4.5', 2)
self.simulator.simulate_channel('4.5-5.5', 'smoothbknpo', [1, 2, 3, 4])
lc = self.simulator.get_channels(['3.5-4.5', '4.5-5.5'])
self.simulator.delete_channels(['3.5-4.5', '4.5-5.5'])
def test_get_all_channels(self):
""" Retrieve all energy channels. """
self.simulator.simulate_channel('3.5-4.5', 2)
self.simulator.simulate_channel('4.5-5.5', 1)
lc = self.simulator.get_all_channels()
self.simulator.delete_channels(['3.5-4.5', '4.5-5.5'])
def test_count_channels(self):
"""
Count energy channels after they have been simulated.
"""
self.simulator.simulate_channel('3.5-4.5', 2)
self.simulator.simulate_channel('4.5-5.5', 1)
assert self.simulator.count_channels() == 2
self.simulator.delete_channels(['3.5-4.5', '4.5-5.5'])
def test_delete_incorrect_channel(self):
"""
Test if deleting incorrect channel raises a
keyerror exception.
"""
with pytest.raises(KeyError):
self.simulator.delete_channel('3.5-4.5')
def test_delete_incorrect_channels(self):
"""
Test if deleting incorrect channels raises a
keyerror exception.
"""
with pytest.raises(KeyError):
self.simulator.delete_channels(['3.5-4.5', '4.5-5.5'])
def test_simulate_powerlaw(self):
"""
Simulate light curve from power law spectrum.
"""
assert len(self.simulator.simulate(2).counts), 1024
def test_simulate_powerlaw_odd(self):
"""
Simulate light curve from power law spectrum.
"""
assert len(self.simulator_odd.simulate(2).counts), 2039
def test_compare_powerlaw(self):
"""
Compare simulated power spectrum with actual one.
"""
B, N, red_noise, dt = 2, 1024, 10, 1
self.simulator = Simulator(N=N,
dt=dt,
mean=5,
rms=1,
red_noise=red_noise)
lc = [self.simulator.simulate(B) for i in range(1, 30)]
simulated = self.simulator.powerspectrum(lc, lc[0].tseg)
w = np.fft.rfftfreq(N, d=dt)[1:]
actual = np.power((1 / w), B / 2)[:-1]
actual_prob = actual / float(sum(actual))
simulated_prob = simulated / float(sum(simulated))
assert np.all(
np.abs(actual_prob - simulated_prob) < 3 * np.sqrt(actual_prob))
def test_simulate_powerspectrum(self):
"""
Simulate light curve from any power spectrum.
"""
s = np.random.rand(1024)
assert len(self.simulator.simulate(s)), 1024
def test_simulate_lorentzian(self):
"""
Simulate light curve using lorentzian model.
"""
assert len(
self.simulator.simulate('generalized_lorentzian',
[1, 2, 3, 4])), 1024
def test_simulate_lorentzian_odd(self):
"""
Simulate light curve using lorentzian model.
"""
assert len(
self.simulator_odd.simulate('generalized_lorentzian',
[1, 2, 3, 4])), 1024
def test_compare_lorentzian(self):
"""
Compare simulated lorentzian spectrum with original spectrum.
"""
N, red_noise, dt = 1024, 10, 1
self.simulator = Simulator(N=N,
dt=dt,
mean=0.1,
rms=0.4,
red_noise=red_noise)
lc = [
self.simulator.simulate('generalized_lorentzian',
[0.3, 0.9, 0.6, 0.5])
for i in range(1, 30)
]
simulated = self.simulator.powerspectrum(lc, lc[0].tseg)
w = np.fft.rfftfreq(N, d=dt)[1:]
actual = models.generalized_lorentzian(w, [0.3, 0.9, 0.6, 0.5])[:-1]
actual_prob = actual / float(sum(actual))
simulated_prob = simulated / float(sum(simulated))
assert np.all(
np.abs(actual_prob - simulated_prob) < 3 * np.sqrt(actual_prob))
def test_simulate_smoothbknpo(self):
"""
Simulate light curve using smooth broken power law model.
"""
assert len(self.simulator.simulate('smoothbknpo', [1, 2, 3, 4])), 1024
def test_compare_smoothbknpo(self):
"""
Compare simulated smooth broken power law spectrum with original
spectrum.
"""
N, red_noise, dt = 1024, 10, 1
self.simulator = Simulator(N=N,
dt=dt,
mean=0.1,
rms=0.7,
red_noise=red_noise)
lc = [
self.simulator.simulate('smoothbknpo', [0.6, 0.2, 0.6, 0.5])
for i in range(1, 30)
]
simulated = self.simulator.powerspectrum(lc, lc[0].tseg)
w = np.fft.rfftfreq(N, d=dt)[1:]
actual = models.smoothbknpo(w, [0.6, 0.2, 0.6, 0.5])[:-1]
actual_prob = actual / float(sum(actual))
simulated_prob = simulated / float(sum(simulated))
assert np.all(
np.abs(actual_prob - simulated_prob) < 3 * np.sqrt(actual_prob))
def test_simulate_GeneralizedLorentz1D_str(self):
"""
Simulate a light curve using the GeneralizedLorentz1D model
called as a string
"""
assert len(
self.simulator.simulate('GeneralizedLorentz1D', {
'x_0': 10,
'fwhm': 1.,
'value': 10.,
'power_coeff': 2
})), 1024
def test_simulate_GeneralizedLorentz1D_odd_str(self):
"""
Simulate a light curve using the GeneralizedLorentz1D model
called as a string
"""
assert len(
self.simulator_odd.simulate('GeneralizedLorentz1D', {
'x_0': 10,
'fwhm': 1.,
'value': 10.,
'power_coeff': 2
})), 2039
def test_simulate_GeneralizedLorentz1D(self):
"""
Simulate a light curve using the GeneralizedLorentz1D model
called as a astropy.modeling.Model class
"""
mod = models.GeneralizedLorentz1D(x_0=10,
fwhm=1.,
value=10.,
power_coeff=2)
assert len(self.simulator.simulate(mod)), 1024
def test_simulate_SmoothBrokenPowerLaw_str(self):
"""
Simulate a light curve using SmoothBrokenPowerLaw model
called as a string
"""
assert len(
self.simulator.simulate('SmoothBrokenPowerLaw', {
'norm': 1.,
'gamma_low': 1.,
'gamma_high': 2.,
'break_freq': 1.
})), 1024
def test_simulate_SmoothBrokenPowerLaw(self):
"""
Simulate a light curve using SmoothBrokenPowerLaw model
called as a astropy.modeling.Model class
"""
mod = models.SmoothBrokenPowerLaw(norm=1.,
gamma_low=1.,
gamma_high=2.,
break_freq=1.)
assert len(self.simulator.simulate(mod)), 1024
def test_simulate_generic_model(self):
"""
Simulate a light curve using a generic model
called as a astropy.modeling.Model class
"""
mod = astropy.modeling.models.Gaussian1D(amplitude=10.,
mean=1.,
stddev=2.)
assert len(self.simulator.simulate(mod)), 1024
def test_simulate_generic_model_odd(self):
"""
Simulate a light curve using a generic model
called as a astropy.modeling.Model class
"""
mod = astropy.modeling.models.Gaussian1D(amplitude=10.,
mean=1.,
stddev=2.)
assert len(self.simulator_odd.simulate(mod)), 2039
def test_compare_composite(self):
"""
Compare the PSD of a light curve simulated using a composite model
(using SmoothBrokenPowerLaw plus GeneralizedLorentz1D)
with the actual model
"""
N = 50000
dt = 0.01
m = 30000.
self.simulator = Simulator(N=N, mean=m, dt=dt)
smoothbknpo = \
models.SmoothBrokenPowerLaw(norm=1., gamma_low=1., gamma_high=2.,
break_freq=1.)
lorentzian = models.GeneralizedLorentz1D(x_0=10,
fwhm=1.,
value=10.,
power_coeff=2.)
myModel = smoothbknpo + lorentzian
lc = [self.simulator.simulate(myModel) for i in range(1, 50)]
simulated = self.simulator.powerspectrum(lc, lc[0].tseg)
w = np.fft.rfftfreq(N, d=dt)[1:]
actual = myModel(w)[:-1]
actual_prob = actual / float(sum(actual))
simulated_prob = simulated / float(sum(simulated))
assert np.all(
np.abs(actual_prob - simulated_prob) < 3 * np.sqrt(actual_prob))
def test_simulate_wrong_model(self):
"""
Simulate with a model that does not exist.
"""
with pytest.raises(ValueError):
self.simulator.simulate('unsupported', [0.6, 0.2, 0.6, 0.5])
def test_construct_simple_ir(self):
"""
Construct simple impulse response.
"""
t0, w = 100, 500
assert len(self.simulator.simple_ir(t0, w)) == \
(t0+w)/self.simulator.dt
def test_construct_simple_ir_odd(self):
"""
Construct simple impulse response.
"""
t0, w = 100, 500
assert len(self.simulator_odd.simple_ir(t0, w)) == \
(t0+w)/self.simulator.dt
def test_construct_relativistic_ir(self):
"""
Construct relativistic impulse response.
"""
t1, t3 = 3, 10
ir = self.simulator.relativistic_ir(t1=t1, t3=t3)
assert np.allclose(ir[:int(t1 / self.simulator.dt)], 0)
assert ir[int(t1 / self.simulator.dt)] == 1
def test_construct_relativistic_ir_odd(self):
"""
Construct relativistic impulse response.
"""
t1, t3 = 3, 10
ir = self.simulator_odd.relativistic_ir(t1=t1, t3=t3)
assert np.allclose(ir[:int(t1 / self.simulator_odd.dt)], 0)
assert ir[int(t1 / self.simulator_odd.dt)] == 1
def test_simulate_simple_impulse(self):
"""
Simulate light curve from simple impulse response.
"""
lc = sampledata.sample_data()
s = lc.counts
h = self.simulator.simple_ir(10, 1, 1)
_ = self.simulator.simulate(s, h)
def test_simulate_simple_impulse_odd(self):
"""
Simulate light curve from simple impulse response.
"""
lc = sampledata.sample_data()
s = lc.counts
h = self.simulator_odd.simple_ir(10, 1, 1)
_ = self.simulator_odd.simulate(s, h)
def test_powerspectrum(self):
"""
Create a power spectrum from light curve.
"""
lc = self.simulator.simulate(2)
self.simulator.powerspectrum(lc)
def test_powerspectrum_odd(self):
"""
Create a power spectrum from light curve.
"""
lc = self.simulator_odd.simulate(2)
self.simulator_odd.powerspectrum(lc)
def test_simulate_relativistic_impulse(self):
"""
Simulate light curve from relativistic impulse response.
"""
lc = sampledata.sample_data()
s = lc.counts
h = self.simulator.relativistic_ir()
output = self.simulator.simulate(s, h)
def test_filtered_simulate(self):
"""
Simulate light curve using 'filtered' mode.
"""
lc = sampledata.sample_data()
s = lc.counts
h = self.simulator.simple_ir()
output = self.simulator.simulate(s, h, 'filtered')
def test_filtered_simulate_odd(self):
"""
Simulate light curve using 'filtered' mode.
"""
lc = sampledata.sample_data()
s = lc.counts
h = self.simulator_odd.simple_ir()
output = self.simulator_odd.simulate(s, h, 'filtered')
def test_simple_lag_spectrum(self):
"""
Simulate light curve from simple impulse response and
compute lag spectrum.
"""
lc = sampledata.sample_data()
h = self.simulator.simple_ir(start=14, width=1)
delay = int(15 / lc.dt)
lag = self.calculate_lag(lc, h, delay)
v_cutoff = 1.0 / (2 * 15.0)
h_cutoff = lag[int((v_cutoff - 0.0075) * 1 / 0.0075)]
assert np.abs(15 - h_cutoff) < np.sqrt(15)
def test_relativistic_lag_spectrum(self):
"""
Simulate light curve from relativistic impulse response and
compute lag spectrum.
"""
lc = sampledata.sample_data()
h = self.simulator.relativistic_ir(t1=3, t2=4, t3=10)
delay = int(4 / lc.dt)
lag = self.calculate_lag(lc, h, delay)
v_cutoff = 1.0 / (2 * 4)
h_cutoff = lag[int((v_cutoff - 0.0075) * 1 / 0.0075)]
assert np.abs(4 - h_cutoff) < np.sqrt(4)
def test_position_varying_channels(self):
"""
Tests lags for multiple energy channels with each channel
having same intensity and varying position.
"""
lc = sampledata.sample_data()
s = lc.counts
h = []
h.append(self.simulator.simple_ir(start=4, width=1))
h.append(self.simulator.simple_ir(start=9, width=1))
delays = [int(5 / lc.dt), int(10 / lc.dt)]
outputs = []
for i in h:
lc2 = self.simulator.simulate(s, i)
lc2 = lc2.shift(-lc2.time[0] + lc.time[0])
outputs.append(lc2)
cross = [Crossspectrum(lc, lc2).rebin(0.0075) for lc2 in outputs]
lags = [np.angle(c.power) / (2 * np.pi * c.freq) for c in cross]
v_cutoffs = [1.0 / (2.0 * 5), 1.0 / (2.0 * 10)]
h_cutoffs = [
lag[int((v - 0.0075) * 1 / 0.0075)]
for lag, v in zip(lags, v_cutoffs)
]
assert np.abs(5 - h_cutoffs[0]) < np.sqrt(5)
assert np.abs(10 - h_cutoffs[1]) < np.sqrt(10)
def test_intensity_varying_channels(self):
"""
Tests lags for multiple energy channels with each channel
having same position and varying intensity.
"""
lc = sampledata.sample_data()
s = lc.counts
h = []
h.append(self.simulator.simple_ir(start=4, width=1, intensity=10))
h.append(self.simulator.simple_ir(start=4, width=1, intensity=20))
delay = int(5 / lc.dt)
outputs = []
for i in h:
lc2 = self.simulator.simulate(s, i)
lc2 = lc2.shift(-lc2.time[0] + lc.time[0])
outputs.append(lc2)
cross = [Crossspectrum(lc, lc2).rebin(0.0075) for lc2 in outputs]
lags = [np.angle(c.power) / (2 * np.pi * c.freq) for c in cross]
v_cutoff = 1.0 / (2.0 * 5)
h_cutoffs = [
lag[int((v_cutoff - 0.0075) * 1 / 0.0075)] for lag in lags
]
assert np.abs(5 - h_cutoffs[0]) < np.sqrt(5)
assert np.abs(5 - h_cutoffs[1]) < np.sqrt(5)
def test_io(self):
sim = Simulator(N=1024)
sim.write('sim.pickle')
sim = sim.read('sim.pickle')
assert sim.N == 1024
os.remove('sim.pickle')
def test_io_with_unsupported_format(self):
sim = Simulator(N=1024)
with pytest.raises(KeyError):
sim.write('sim.hdf5', format_='hdf5')
with pytest.raises(KeyError):
sim.write('sim.pickle', format_='pickle')
sim.read('sim.pickle', format_='hdf5')
os.remove('sim.pickle')