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r"""
.. _sine-temporal-model:
Sine temporal model
===================
This model parametrises a time model of sinusoidal modulation.
.. math:: F(t) = 1 + amp \cdot \sin(\omega \cdot (t-t_{\rm{ref}}))
"""
# %%
# Example plot
# ------------
# Here is an example plot of the model:
import numpy as np
from astropy import units as u
from astropy.time import Time
import matplotlib.pyplot as plt
from gammapy.modeling.models import (
Models,
PowerLawSpectralModel,
SineTemporalModel,
SkyModel,
)
time_range = [Time.now(), Time.now() + 16 * u.d]
omega = np.pi / 4.0 * u.rad / u.day
sine_model = SineTemporalModel(
amp=0.5, omega=omega, t_ref=(time_range[0].mjd - 0.1) * u.d
)
sine_model.plot(time_range)
plt.grid(which="both")
# %%
# YAML representation
# -------------------
# Here is an example YAML file using the model:
model = SkyModel(
spectral_model=PowerLawSpectralModel(),
temporal_model=sine_model,
name="sine-model",
)
models = Models([model])
print(models.to_yaml())
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