Piecewise norm spectral model

This model parametrises a piecewise spectral correction with a free norm parameter at each fixed energy node.

Example plot

Here is an example plot of the model:

from astropy import units as u
import matplotlib.pyplot as plt
from gammapy.modeling.models import (
    Models,
    PiecewiseNormSpectralModel,
    PowerLawSpectralModel,
    SkyModel,
)

energy_bounds = [0.1, 100] * u.TeV
model = PiecewiseNormSpectralModel(
    energy=[0.1, 1, 3, 10, 30, 100] * u.TeV,
    norms=[1, 3, 8, 10, 8, 2],
)
model.plot(energy_bounds, yunits=u.Unit(""))
plt.grid(which="both")

YAML representation

Here is an example YAML file using the model:

model = model * PowerLawSpectralModel()
model = SkyModel(spectral_model=model, name="piecewise-norm-model")
models = Models([model])

print(models.to_yaml())

Out:

components:
-   name: piecewise-norm-model
    type: SkyModel
    spectral:
        type: CompoundSpectralModel
        model1:
            type: PiecewiseNormSpectralModel
            parameters:
            -   name: norm_0
                value: 1.0
                is_norm: false
            -   name: norm_1
                value: 3.0
                is_norm: false
            -   name: norm_2
                value: 8.0
                is_norm: false
            -   name: norm_3
                value: 10.0
                is_norm: false
            -   name: norm_4
                value: 8.0
                is_norm: false
            -   name: norm_5
                value: 2.0
                is_norm: false
            energy:
                data:
                - 0.1
                - 1.0
                - 3.0
                - 10.0
                - 30.0
                - 100.0
                unit: TeV
        model2:
            type: PowerLawSpectralModel
            parameters:
            -   name: index
                value: 2.0
                is_norm: false
            -   name: amplitude
                value: 1.0e-12
                unit: cm-2 s-1 TeV-1
                is_norm: true
            -   name: reference
                value: 1.0
                unit: TeV
                frozen: true
                is_norm: false
        operator: mul