| 
                    1
                 | 
                                    
                                                     | 
                
                 | 
                """  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    2
                 | 
                                    
                                                     | 
                
                 | 
                Classes containing the Target config parameters for the high-level interface and  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    3
                 | 
                                    
                                                     | 
                
                 | 
                also the functions involving Models generation and assignment to datasets.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    4
                 | 
                                    
                                                     | 
                
                 | 
                """  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    5
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    6
                 | 
                                    
                                                     | 
                
                 | 
                from enum import Enum  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    7
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    8
                 | 
                                    
                                                     | 
                
                 | 
                import astropy.units as u  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    9
                 | 
                                    
                                                     | 
                
                 | 
                import numpy as np  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    10
                 | 
                                    
                                                     | 
                
                 | 
                from gammapy.modeling import Parameter  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    11
                 | 
                                    
                                                     | 
                
                 | 
                from gammapy.modeling.models import (  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    12
                 | 
                                    
                                                     | 
                
                 | 
                    SPATIAL_MODEL_REGISTRY,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    13
                 | 
                                    
                                                     | 
                
                 | 
                    SPECTRAL_MODEL_REGISTRY,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    14
                 | 
                                    
                                                     | 
                
                 | 
                    DatasetModels,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    15
                 | 
                                    
                                                     | 
                
                 | 
                    EBLAbsorptionNormSpectralModel,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    16
                 | 
                                    
                                                     | 
                
                 | 
                    FoVBackgroundModel,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    17
                 | 
                                    
                                                     | 
                
                 | 
                    Models,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    18
                 | 
                                    
                                                     | 
                
                 | 
                    SkyModel,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    19
                 | 
                                    
                                                     | 
                
                 | 
                    SpectralModel,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    20
                 | 
                                    
                                                     | 
                
                 | 
                )  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    21
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    22
                 | 
                                    
                                                     | 
                
                 | 
                from asgardpy.base.base import AngleType, BaseConfig, FrameEnum, PathType  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    23
                 | 
                                    
                                                     | 
                
                 | 
                from asgardpy.base.geom import SkyPositionConfig  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    24
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    25
                 | 
                                    
                                                     | 
                
                 | 
                __all__ = [  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    26
                 | 
                                    
                                                     | 
                
                 | 
                    "BrokenPowerLaw2SpectralModel",  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    27
                 | 
                                    
                                                     | 
                
                 | 
                    "EBLAbsorptionModel",  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    28
                 | 
                                    
                                                     | 
                
                 | 
                    "ExpCutoffLogParabolaSpectralModel",  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    29
                 | 
                                    
                                                     | 
                
                 | 
                    "ModelTypeEnum",  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    30
                 | 
                                    
                                                     | 
                
                 | 
                    "RoISelectionConfig",  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    31
                 | 
                                    
                                                     | 
                
                 | 
                    "SpatialModelConfig",  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    32
                 | 
                                    
                                                     | 
                
                 | 
                    "SpectralModelConfig",  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    33
                 | 
                                    
                                                     | 
                
                 | 
                    "Target",  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    34
                 | 
                                    
                                                     | 
                
                 | 
                    "add_ebl_model_from_config",  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    35
                 | 
                                    
                                                     | 
                
                 | 
                    "apply_selection_mask_to_models",  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    36
                 | 
                                    
                                                     | 
                
                 | 
                    "config_to_dict",  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    37
                 | 
                                    
                                                     | 
                
                 | 
                    "read_models_from_asgardpy_config",  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    38
                 | 
                                    
                                                     | 
                
                 | 
                    "set_models",  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    39
                 | 
                                    
                                                     | 
                
                 | 
                ]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    40
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    41
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    42
                 | 
                                    
                                                     | 
                
                 | 
                # Basic components to define the Target Config and any Models Config  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    43
                 | 
                                    
                                                     | 
                
                 | 
                class ModelTypeEnum(str, Enum):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    44
                 | 
                                    
                                                     | 
                
                 | 
                    """  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    45
                 | 
                                    
                                                     | 
                
                 | 
                    Config section for Different Gammapy Model type.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    46
                 | 
                                    
                                                     | 
                
                 | 
                    """  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    47
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    48
                 | 
                                    
                                                     | 
                
                 | 
                    skymodel = "SkyModel"  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    49
                 | 
                                    
                                                     | 
                
                 | 
                    fovbkgmodel = "FoVBackgroundModel"  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    50
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    51
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    52
                 | 
                                    
                                                     | 
                
                 | 
                class EBLAbsorptionModel(BaseConfig):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    53
                 | 
                                    
                                                     | 
                
                 | 
                    """  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    54
                 | 
                                    
                                                     | 
                
                 | 
                    Config section for parameters to use for EBLAbsorptionNormSpectralModel.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    55
                 | 
                                    
                                                     | 
                
                 | 
                    """  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    56
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    57
                 | 
                                    
                                                     | 
                
                 | 
                    filename: PathType = PathType("None") | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    58
                 | 
                                    
                                                     | 
                
                 | 
                    reference: str = ""  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    59
                 | 
                                    
                                                     | 
                
                 | 
                    type: str = "EBLAbsorptionNormSpectralModel"  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    60
                 | 
                                    
                                                     | 
                
                 | 
                    redshift: float = 0.0  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    61
                 | 
                                    
                                                     | 
                
                 | 
                    alpha_norm: float = 1.0  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    62
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    63
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    64
                 | 
                                    
                                                     | 
                
                 | 
                class ModelParams(BaseConfig):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    65
                 | 
                                    
                                                     | 
                
                 | 
                    """Config section for parameters to use for a basic Parameter object."""  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    66
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    67
                 | 
                                    
                                                     | 
                
                 | 
                    name: str = ""  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    68
                 | 
                                    
                                                     | 
                
                 | 
                    value: float = 1  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    69
                 | 
                                    
                                                     | 
                
                 | 
                    unit: str = " "  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    70
                 | 
                                    
                                                     | 
                
                 | 
                    error: float = 0.1  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    71
                 | 
                                    
                                                     | 
                
                 | 
                    min: float = 0.1  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    72
                 | 
                                    
                                                     | 
                
                 | 
                    max: float = 10  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    73
                 | 
                                    
                                                     | 
                
                 | 
                    frozen: bool = True  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    74
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    75
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    76
                 | 
                                    
                                                     | 
                
                 | 
                class SpectralModelConfig(BaseConfig):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    77
                 | 
                                    
                                                     | 
                
                 | 
                    """  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    78
                 | 
                                    
                                                     | 
                
                 | 
                    Config section for parameters to use for creating a SpectralModel object.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    79
                 | 
                                    
                                                     | 
                
                 | 
                    """  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    80
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    81
                 | 
                                    
                                                     | 
                
                 | 
                    type: str = ""  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    82
                 | 
                                    
                                                     | 
                
                 | 
                    parameters: list[ModelParams] = [ModelParams()]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    83
                 | 
                                    
                                                     | 
                
                 | 
                    ebl_abs: EBLAbsorptionModel = EBLAbsorptionModel()  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    84
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    85
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    86
                 | 
                                    
                                                     | 
                
                 | 
                class SpatialModelConfig(BaseConfig):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    87
                 | 
                                    
                                                     | 
                
                 | 
                    """  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    88
                 | 
                                    
                                                     | 
                
                 | 
                    Config section for parameters to use for creating a SpatialModel object.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    89
                 | 
                                    
                                                     | 
                
                 | 
                    """  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    90
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    91
                 | 
                                    
                                                     | 
                
                 | 
                    type: str = ""  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    92
                 | 
                                    
                                                     | 
                
                 | 
                    frame: FrameEnum = FrameEnum.icrs  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    93
                 | 
                                    
                                                     | 
                
                 | 
                    parameters: list[ModelParams] = [ModelParams()]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    94
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    95
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    96
                 | 
                                    
                                                     | 
                
                 | 
                class ModelComponent(BaseConfig):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    97
                 | 
                                    
                                                     | 
                
                 | 
                    """Config section for parameters to use for creating a SkyModel object."""  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    98
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    99
                 | 
                                    
                                                     | 
                
                 | 
                    name: str = ""  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    100
                 | 
                                    
                                                     | 
                
                 | 
                    type: ModelTypeEnum = ModelTypeEnum.skymodel  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    101
                 | 
                                    
                                                     | 
                
                 | 
                    datasets_names: list[str] = [""]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    102
                 | 
                                    
                                                     | 
                
                 | 
                    spectral: SpectralModelConfig = SpectralModelConfig()  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    103
                 | 
                                    
                                                     | 
                
                 | 
                    spatial: SpatialModelConfig = SpatialModelConfig()  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    104
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    105
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    106
                 | 
                                    
                                                     | 
                
                 | 
                class RoISelectionConfig(BaseConfig):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    107
                 | 
                                    
                                                     | 
                
                 | 
                    """  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    108
                 | 
                                    
                                                     | 
                
                 | 
                    Config section for parameters to perform some selection on FoV source  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    109
                 | 
                                    
                                                     | 
                
                 | 
                    models.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    110
                 | 
                                    
                                                     | 
                
                 | 
                    """  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    111
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    112
                 | 
                                    
                                                     | 
                
                 | 
                    roi_radius: AngleType = 0 * u.deg  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    113
                 | 
                                    
                                                     | 
                
                 | 
                    free_sources: list[str] = []  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    114
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    115
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    116
                 | 
                                    
                                                     | 
                
                 | 
                class CatalogConfig(BaseConfig):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    117
                 | 
                                    
                                                     | 
                
                 | 
                    """Config section for parameters to use information from Catalog."""  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    118
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    119
                 | 
                                    
                                                     | 
                
                 | 
                    name: str = ""  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    120
                 | 
                                    
                                                     | 
                
                 | 
                    selection_radius: AngleType = 0 * u.deg  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    121
                 | 
                                    
                                                     | 
                
                 | 
                    exclusion_radius: AngleType = 0 * u.deg  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    122
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    123
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    124
                 | 
                                    
                                                     | 
                
                 | 
                class Target(BaseConfig):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    125
                 | 
                                    
                                                     | 
                
                 | 
                    """Config section for main information on creating various Models."""  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    126
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    127
                 | 
                                    
                                                     | 
                
                 | 
                    source_name: str = ""  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    128
                 | 
                                    
                                                     | 
                
                 | 
                    sky_position: SkyPositionConfig = SkyPositionConfig()  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    129
                 | 
                                    
                                                     | 
                
                 | 
                    use_uniform_position: bool = True  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    130
                 | 
                                    
                                                     | 
                
                 | 
                    models_file: PathType = PathType("None") | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    131
                 | 
                                    
                                                     | 
                
                 | 
                    datasets_with_fov_bkg_model: list[str] = []  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    132
                 | 
                                    
                                                     | 
                
                 | 
                    use_catalog: CatalogConfig = CatalogConfig()  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    133
                 | 
                                    
                                                     | 
                
                 | 
                    components: list[ModelComponent] = [ModelComponent()]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    134
                 | 
                                    
                                                     | 
                
                 | 
                    covariance: str = ""  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    135
                 | 
                                    
                                                     | 
                
                 | 
                    from_3d: bool = False  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    136
                 | 
                                    
                                                     | 
                
                 | 
                    roi_selection: RoISelectionConfig = RoISelectionConfig()  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    137
                 | 
                                    
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                    138
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                | 
                    139
                 | 
                                    
                                                     | 
                
                 | 
                class ExpCutoffLogParabolaSpectralModel(SpectralModel):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    140
                 | 
                                    
                                                     | 
                
                 | 
                    r"""Spectral Exponential Cutoff Log Parabola model.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    141
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                    142
                 | 
                                    
                                                     | 
                
                 | 
                    Using a simple template from Gammapy.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    143
                 | 
                                    
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                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    144
                 | 
                                    
                                                     | 
                
                 | 
                    .. math::  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    145
                 | 
                                    
                                                     | 
                
                 | 
                        \phi(E) = \phi_0 \left( \frac{E}{E_0} \right) ^ { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    146
                 | 
                                    
                                                     | 
                
                 | 
                          - \alpha_1 - \beta \log{ \left( \frac{E}{E_0} \right) }} \cdot | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    147
                 | 
                                    
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                 | 
                          \exp(- {(\lambda E})^{\alpha_2}) | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    148
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                    149
                 | 
                                    
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                    Parameters  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    150
                 | 
                                    
                                                     | 
                
                 | 
                    ----------  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    151
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                    amplitude : `~astropy.units.Quantity`  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    152
                 | 
                                    
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                        :math:`\phi_0`  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    153
                 | 
                                    
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                 | 
                    reference : `~astropy.units.Quantity`  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    154
                 | 
                                    
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                        :math:`E_0`  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    155
                 | 
                                    
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                 | 
                    alpha_1 : `~astropy.units.Quantity`  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    156
                 | 
                                    
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                        :math:`\alpha_1`  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    157
                 | 
                                    
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                 | 
                    beta : `~astropy.units.Quantity`  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    158
                 | 
                                    
                                                     | 
                
                 | 
                        :math:`\beta`  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    159
                 | 
                                    
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                    lambda_ : `~astropy.units.Quantity`  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    160
                 | 
                                    
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                 | 
                        :math:`\lambda`  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    161
                 | 
                                    
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                 | 
                    alpha_2 : `~astropy.units.Quantity`  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    162
                 | 
                                    
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                 | 
                        :math:`\alpha_2`  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    163
                 | 
                                    
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                    """  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    164
                 | 
                                    
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                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    165
                 | 
                                    
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                    tag = ["ExpCutoffLogParabolaSpectralModel", "ECLP"]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    166
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                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    167
                 | 
                                    
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                    amplitude = Parameter(  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    168
                 | 
                                    
                                                     | 
                
                 | 
                        "amplitude",  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    169
                 | 
                                    
                                                     | 
                
                 | 
                        "1e-12 cm-2 s-1 TeV-1",  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    170
                 | 
                                    
                                                     | 
                
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                        scale_method="scale10",  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    171
                 | 
                                    
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                 | 
                        interp="log",  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    172
                 | 
                                    
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                 | 
                        is_norm=True,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    173
                 | 
                                    
                                                     | 
                
                 | 
                    )  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    174
                 | 
                                    
                                                     | 
                
                 | 
                    reference = Parameter("reference", "1 TeV", frozen=True) | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    175
                 | 
                                    
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                 | 
                    alpha_1 = Parameter("alpha_1", -2) | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    176
                 | 
                                    
                                                     | 
                
                 | 
                    alpha_2 = Parameter("alpha_2", 1, frozen=True) | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    177
                 | 
                                    
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                 | 
                    beta = Parameter("beta", 1) | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    178
                 | 
                                    
                                                     | 
                
                 | 
                    lambda_ = Parameter("lambda_", "0.1 TeV-1") | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    179
                 | 
                                    
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                | 
                    180
                 | 
                                    
                                                     | 
                
                 | 
                    @staticmethod  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    181
                 | 
                                    
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                 | 
                    def evaluate(energy, amplitude, reference, alpha_1, beta, lambda_, alpha_2):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    182
                 | 
                                    
                                                     | 
                
                 | 
                        """Evaluate the model (static function)."""  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    183
                 | 
                                    
                                                     | 
                
                 | 
                        en_ref = energy / reference  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    184
                 | 
                                    
                                                     | 
                
                 | 
                        exponent = -alpha_1 - beta * np.log(en_ref)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    185
                 | 
                                    
                                                     | 
                
                 | 
                        cutoff = np.exp(-np.power(energy * lambda_, alpha_2))  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    186
                 | 
                                    
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                | 
                    187
                 | 
                                    
                                                     | 
                
                 | 
                        return amplitude * np.power(en_ref, exponent) * cutoff  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    188
                 | 
                                    
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                | 
                    189
                 | 
                                    
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                | 
                    190
                 | 
                                    
                                                     | 
                
                 | 
                class BrokenPowerLaw2SpectralModel(SpectralModel):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    191
                 | 
                                    
                                                     | 
                
                 | 
                    r"""Spectral broken power-law 2 model.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    192
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    193
                 | 
                                    
                                                     | 
                
                 | 
                    In this slightly modified Broken Power Law, instead of having the second index  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    194
                 | 
                                    
                                                     | 
                
                 | 
                    as a distinct parameter, the difference in the spectral indices around the  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    195
                 | 
                                    
                                                     | 
                
                 | 
                    Break Energy is used, to try for some assumptions on the different physical  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    196
                 | 
                                    
                                                     | 
                
                 | 
                    processes that define the full spectrum, where the second process is dependent  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    197
                 | 
                                    
                                                     | 
                
                 | 
                    on the first process.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    198
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    199
                 | 
                                    
                                                     | 
                
                 | 
                    For more information see :ref:`broken-powerlaw-spectral-model`.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    200
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    201
                 | 
                                    
                                                     | 
                
                 | 
                    .. math::  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    202
                 | 
                                    
                                                     | 
                
                 | 
                        \phi(E) = \phi_0 \cdot \begin{cases} | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    203
                 | 
                                    
                                                     | 
                
                 | 
                                \left( \frac{E}{E_{break}} \right)^{-\Gamma_1} & \text{if } E < E_{break} \\ | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    204
                 | 
                                    
                                                     | 
                
                 | 
                                \left( \frac{E}{E_{break}} \right)^{-(\Gamma_1 + \Delta\Gamma)} & \text{otherwise} | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    205
                 | 
                                    
                                                     | 
                
                 | 
                            \end{cases} | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    206
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    207
                 | 
                                    
                                                     | 
                
                 | 
                    Parameters  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    208
                 | 
                                    
                                                     | 
                
                 | 
                    ----------  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    209
                 | 
                                    
                                                     | 
                
                 | 
                    index1 : `~astropy.units.Quantity`  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    210
                 | 
                                    
                                                     | 
                
                 | 
                        :math:`\Gamma_1`  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    211
                 | 
                                    
                                                     | 
                
                 | 
                    index_diff : `~astropy.units.Quantity`  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    212
                 | 
                                    
                                                     | 
                
                 | 
                        :math:`\Delta\Gamma`  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    213
                 | 
                                    
                                                     | 
                
                 | 
                    amplitude : `~astropy.units.Quantity`  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    214
                 | 
                                    
                                                     | 
                
                 | 
                        :math:`\phi_0`  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    215
                 | 
                                    
                                                     | 
                
                 | 
                    ebreak : `~astropy.units.Quantity`  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    216
                 | 
                                    
                                                     | 
                
                 | 
                        :math:`E_{break}` | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    217
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    218
                 | 
                                    
                                                     | 
                
                 | 
                    See Also  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    219
                 | 
                                    
                                                     | 
                
                 | 
                    --------  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    220
                 | 
                                    
                                                     | 
                
                 | 
                    SmoothBrokenPowerLawSpectralModel  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    221
                 | 
                                    
                                                     | 
                
                 | 
                    """  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    222
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    223
                 | 
                                    
                                                     | 
                
                 | 
                    tag = ["BrokenPowerLaw2SpectralModel", "bpl2"]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    224
                 | 
                                    
                                                     | 
                
                 | 
                    index1 = Parameter("index1", 2.0) | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    225
                 | 
                                    
                                                     | 
                
                 | 
                    index_diff = Parameter("index_diff", 1.0) | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    226
                 | 
                                    
                                                     | 
                
                 | 
                    amplitude = Parameter(  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    227
                 | 
                                    
                                                     | 
                
                 | 
                        name="amplitude",  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    228
                 | 
                                    
                                                     | 
                
                 | 
                        value="1e-12 cm-2 s-1 TeV-1",  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    229
                 | 
                                    
                                                     | 
                
                 | 
                        scale_method="scale10",  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    230
                 | 
                                    
                                                     | 
                
                 | 
                        interp="log",  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    231
                 | 
                                    
                                                     | 
                
                 | 
                        is_norm=True,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    232
                 | 
                                    
                                                     | 
                
                 | 
                    )  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    233
                 | 
                                    
                                                     | 
                
                 | 
                    ebreak = Parameter("ebreak", "1 TeV") | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    234
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    235
                 | 
                                    
                                                     | 
                
                 | 
                    @staticmethod  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    236
                 | 
                                    
                                                     | 
                
                 | 
                    def evaluate(energy, index1, index_diff, amplitude, ebreak):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    237
                 | 
                                    
                                                     | 
                
                 | 
                        """Evaluate the model (static function)."""  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    238
                 | 
                                    
                                                     | 
                
                 | 
                        energy = np.atleast_1d(energy)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    239
                 | 
                                    
                                                     | 
                
                 | 
                        cond = energy < ebreak  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    240
                 | 
                                    
                                                     | 
                
                 | 
                        bpwl2 = amplitude * np.ones(energy.shape)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    241
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    242
                 | 
                                    
                                                     | 
                
                 | 
                        index2 = index1 + index_diff  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    243
                 | 
                                    
                                                     | 
                
                 | 
                        bpwl2[cond] *= (energy[cond] / ebreak) ** (-index1)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    244
                 | 
                                    
                                                     | 
                
                 | 
                        bpwl2[~cond] *= (energy[~cond] / ebreak) ** (-index2)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    245
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    246
                 | 
                                    
                                                     | 
                
                 | 
                        return bpwl2  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    247
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    248
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    249
                 | 
                                    
                                                     | 
                
                 | 
                SPECTRAL_MODEL_REGISTRY.append(ExpCutoffLogParabolaSpectralModel)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    250
                 | 
                                    
                                                     | 
                
                 | 
                SPECTRAL_MODEL_REGISTRY.append(BrokenPowerLaw2SpectralModel)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    251
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    252
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    253
                 | 
                                    
                                                     | 
                
                 | 
                # Function for Models assignment  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    254
                 | 
                                    
                                                     | 
                
                 | 
                def extend_bkg_models(models, all_datasets, datasets_with_fov_bkg_model):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    255
                 | 
                                    
                                                     | 
                
                 | 
                    """  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    256
                 | 
                                    
                                                     | 
                
                 | 
                    Function for extending a Background Model for a given 3D dataset name.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    257
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    258
                 | 
                                    
                                                     | 
                
                 | 
                    It checks if the given dataset is of MapDataset or MapDatasetOnOff type and  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    259
                 | 
                                    
                                                     | 
                
                 | 
                    no associated background model exists already.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    260
                 | 
                                    
                                                     | 
                
                 | 
                    """  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    261
                 | 
                                    
                                                     | 
                
                 | 
                    if len(datasets_with_fov_bkg_model) > 0:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    262
                 | 
                                    
                                                     | 
                
                 | 
                        bkg_models = []  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    263
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    264
                 | 
                                    
                                                     | 
                
                 | 
                        for dataset in all_datasets:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    265
                 | 
                                    
                                                     | 
                
                 | 
                            if dataset.name in datasets_with_fov_bkg_model:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    266
                 | 
                                    
                                                     | 
                
                 | 
                                if "MapDataset" in dataset.tag and dataset.background_model is None:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    267
                 | 
                                    
                                                     | 
                
                 | 
                                    bkg_models.append(FoVBackgroundModel(dataset_name=f"{dataset.name}-bkg")) | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    268
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    269
                 | 
                                    
                                                     | 
                
                 | 
                        models.extend(bkg_models)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    270
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    271
                 | 
                                    
                                                     | 
                
                 | 
                    return models  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    272
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    273
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    274
                 | 
                                    
                                                     | 
                
                 | 
                def update_models_datasets_names(models, source_name, datasets_name_list):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    275
                 | 
                                    
                                                     | 
                
                 | 
                    """  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    276
                 | 
                                    
                                                     | 
                
                 | 
                    Function to update the datasets_names list for the given list of models.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    277
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    278
                 | 
                                    
                                                     | 
                
                 | 
                    If FoVBackgroundModel is provided, remove the -bkg part of the name of the  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    279
                 | 
                                    
                                                     | 
                
                 | 
                    dataset to get the appropriate datasets_name.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    280
                 | 
                                    
                                                     | 
                
                 | 
                    """  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    281
                 | 
                                    
                                                     | 
                
                 | 
                    if len(models) > 1:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    282
                 | 
                                    
                                                     | 
                
                 | 
                        models[source_name].datasets_names = datasets_name_list  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    283
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    284
                 | 
                                    
                                                     | 
                
                 | 
                        bkg_model_name = [m_name for m_name in models.names if "bkg" in m_name]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    285
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    286
                 | 
                                    
                                                     | 
                
                 | 
                        if len(bkg_model_name) > 0:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    287
                 | 
                                    
                                                     | 
                
                 | 
                            for bkg_name in bkg_model_name:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    288
                 | 
                                    
                                                     | 
                
                 | 
                                models[bkg_name].datasets_names = [bkg_name[:-4]]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    289
                 | 
                                    
                                                     | 
                
                 | 
                    else:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    290
                 | 
                                    
                                                     | 
                
                 | 
                        models.datasets_names = datasets_name_list  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    291
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    292
                 | 
                                    
                                                     | 
                
                 | 
                    return models  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    293
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    294
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    295
                 | 
                                    
                                                     | 
                
                 | 
                def set_models(  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    296
                 | 
                                    
                                                     | 
                
                 | 
                    config_target,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    297
                 | 
                                    
                                                     | 
                
                 | 
                    datasets,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    298
                 | 
                                    
                                                     | 
                
                 | 
                    datasets_name_list=None,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    299
                 | 
                                    
                                                     | 
                
                 | 
                    models=None,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    300
                 | 
                                    
                                                     | 
                
                 | 
                ):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    301
                 | 
                                    
                                                     | 
                
                 | 
                    """  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    302
                 | 
                                    
                                                     | 
                
                 | 
                    Set models on given Datasets.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    303
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    304
                 | 
                                    
                                                     | 
                
                 | 
                    Parameters  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    305
                 | 
                                    
                                                     | 
                
                 | 
                    ----------  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    306
                 | 
                                    
                                                     | 
                
                 | 
                    config_target: `AsgardpyConfig.target`  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    307
                 | 
                                    
                                                     | 
                
                 | 
                        AsgardpyConfig containing target information.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    308
                 | 
                                    
                                                     | 
                
                 | 
                    datasets: `gammapy.datasets.Datasets`  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    309
                 | 
                                    
                                                     | 
                
                 | 
                        Datasets object  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    310
                 | 
                                    
                                                     | 
                
                 | 
                    dataset_name_list: list  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    311
                 | 
                                    
                                                     | 
                
                 | 
                        List of datasets_names to be used on the Models, before assigning them  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    312
                 | 
                                    
                                                     | 
                
                 | 
                        to the given datasets.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    313
                 | 
                                    
                                                     | 
                
                 | 
                    models : `~gammapy.modeling.models.Models` or str of file location or None  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    314
                 | 
                                    
                                                     | 
                
                 | 
                        Models object or YAML models string  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    315
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    316
                 | 
                                    
                                                     | 
                
                 | 
                    Returns  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    317
                 | 
                                    
                                                     | 
                
                 | 
                    -------  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    318
                 | 
                                    
                                                     | 
                
                 | 
                    datasets: `gammapy.datasets.Datasets`  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    319
                 | 
                                    
                                                     | 
                
                 | 
                        Datasets object with Models assigned.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    320
                 | 
                                    
                                                     | 
                
                 | 
                    """  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    321
                 | 
                                    
                                                     | 
                
                 | 
                    # Have some checks on argument types  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    322
                 | 
                                    
                                                     | 
                
                 | 
                    if isinstance(models, DatasetModels | list):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    323
                 | 
                                    
                                                     | 
                
                 | 
                        models = Models(models)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    324
                 | 
                                    
                                                     | 
                
                 | 
                    elif isinstance(models, PathType):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    325
                 | 
                                    
                                                     | 
                
                 | 
                        models = Models.read(models)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    326
                 | 
                                    
                                                     | 
                
                 | 
                    elif models is None:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    327
                 | 
                                    
                                                     | 
                
                 | 
                        models = Models(models)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    328
                 | 
                                    
                                                     | 
                
                 | 
                    else:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    329
                 | 
                                    
                                                     | 
                
                 | 
                        raise TypeError(f"Invalid type: {type(models)}") | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    330
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    331
                 | 
                                    
                                                     | 
                
                 | 
                    if len(models) == 0:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    332
                 | 
                                    
                                                     | 
                
                 | 
                        if config_target.components[0].name != "":  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    333
                 | 
                                    
                                                     | 
                
                 | 
                            models = read_models_from_asgardpy_config(config_target)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    334
                 | 
                                    
                                                     | 
                
                 | 
                        else:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    335
                 | 
                                    
                                                     | 
                
                 | 
                            raise ValueError("No input for Models provided for the Target source!") | 
            
            
                                                                                                            
                                                                
            
                                    
            
            
                | 
                    336
                 | 
                                    
                                                     | 
                
                 | 
                    else:  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    337
                 | 
                                    
                                                     | 
                
                 | 
                        models = apply_selection_mask_to_models(  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    338
                 | 
                                    
                                                     | 
                
                 | 
                            list_sources=models,  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    339
                 | 
                                    
                                                     | 
                
                 | 
                            target_source=config_target.source_name,  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    340
                 | 
                                    
                                                     | 
                
                 | 
                            roi_radius=config_target.roi_selection.roi_radius,  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    341
                 | 
                                    
                                                     | 
                
                 | 
                            free_sources=config_target.roi_selection.free_sources,  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    342
                 | 
                                    
                                                     | 
                
                 | 
                        )  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    343
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    344
                 | 
                                    
                                                     | 
                
                 | 
                    models = extend_bkg_models(models, datasets, config_target.datasets_with_fov_bkg_model)  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    345
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    346
                 | 
                                    
                                                     | 
                
                 | 
                    if datasets_name_list is None:  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    347
                 | 
                                    
                                                     | 
                
                 | 
                        datasets_name_list = datasets.names  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    348
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    349
                 | 
                                    
                                                     | 
                
                 | 
                    models = update_models_datasets_names(models, config_target.source_name, datasets_name_list)  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    350
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    351
                 | 
                                    
                                                     | 
                
                 | 
                    datasets.models = models  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    352
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    353
                 | 
                                    
                                                     | 
                
                 | 
                    return datasets, models  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    354
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    355
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    356
                 | 
                                    
                                                     | 
                
                 | 
                def apply_models_mask_in_roi(list_sources_excluded, target_source, roi_radius, free_sources):  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    357
                 | 
                                    
                                                     | 
                
                 | 
                    """  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    358
                 | 
                                    
                                                     | 
                
                 | 
                    Function to apply a selection mask on a given list of models in a given RoI.  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    359
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    360
                 | 
                                    
                                                     | 
                
                 | 
                    The target source position is considered as the center of RoI.  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    361
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    362
                 | 
                                    
                                                     | 
                
                 | 
                    For a given list of non free sources, the spectral amplitude is left  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    363
                 | 
                                    
                                                     | 
                
                 | 
                    unfrozen or allowed to vary.  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    364
                 | 
                                    
                                                     | 
                
                 | 
                    """  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    365
                 | 
                                    
                                                     | 
                
                 | 
                    if not target_source:  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    366
                 | 
                                    
                                                     | 
                
                 | 
                        target_source = list_sources_excluded[0].name  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    367
                 | 
                                    
                                                     | 
                
                 | 
                        target_source_pos = list_sources_excluded[0].spatial_model.position  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    368
                 | 
                                    
                                                     | 
                
                 | 
                    else:  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    369
                 | 
                                    
                                                     | 
                
                 | 
                        target_source_pos = list_sources_excluded[target_source].spatial_model.position  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    370
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    371
                 | 
                                    
                                                     | 
                
                 | 
                    # If RoI radius is provided and is not default  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    372
                 | 
                                    
                                                     | 
                
                 | 
                    if roi_radius.to_value("deg") != 0: | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    373
                 | 
                                    
                                                     | 
                
                 | 
                        for model_ in list_sources_excluded:  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    374
                 | 
                                    
                                                     | 
                
                 | 
                            model_pos = model_.spatial_model.position  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    375
                 | 
                                    
                                                     | 
                
                 | 
                            separation = target_source_pos.separation(model_pos).deg  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    376
                 | 
                                    
                                                     | 
                
                 | 
                            if separation >= roi_radius.deg:  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    377
                 | 
                                    
                                                     | 
                
                 | 
                                model_.spectral_model.freeze()  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    378
                 | 
                                    
                                                     | 
                
                 | 
                    else:  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    379
                 | 
                                    
                                                     | 
                
                 | 
                        if len(free_sources) > 0:  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    380
                 | 
                                    
                                                     | 
                
                 | 
                            for model_ in list_sources_excluded:  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    381
                 | 
                                    
                                                     | 
                
                 | 
                                # Freeze all spectral parameters for other models  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    382
                 | 
                                    
                                                     | 
                
                 | 
                                if model_.name != target_source:  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    383
                 | 
                                    
                                                     | 
                
                 | 
                                    model_.spectral_model.freeze()  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    384
                 | 
                                    
                                                     | 
                
                 | 
                                # and now unfreeze the amplitude of selected models  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    385
                 | 
                                    
                                                     | 
                
                 | 
                                if model_.name in free_sources:  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    386
                 | 
                                    
                                                     | 
                
                 | 
                                    model_.spectral_model.parameters["amplitude"].frozen = False  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    387
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    388
                 | 
                                    
                                                     | 
                
                 | 
                    return list_sources_excluded  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    389
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    390
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    391
                 | 
                                    
                                                     | 
                
                 | 
                def apply_selection_mask_to_models(  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    392
                 | 
                                    
                                                     | 
                
                 | 
                    list_sources, target_source=None, selection_mask=None, roi_radius=0 * u.deg, free_sources=None  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    393
                 | 
                                    
                                                     | 
                
                 | 
                ):  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    394
                 | 
                                    
                                                     | 
                
                 | 
                    """  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    395
                 | 
                                    
                                                     | 
                
                 | 
                    For a given list of source models, with a given target source, apply various  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    396
                 | 
                                    
                                                     | 
                
                 | 
                    selection masks on the Region of Interest in the sky. This will lead to  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    397
                 | 
                                    
                                                     | 
                
                 | 
                    complete exclusion of models or freezing some or all spectral parameters.  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    398
                 | 
                                    
                                                     | 
                
                 | 
                    These selections excludes the diffuse background models in the given list.  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    399
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    400
                 | 
                                    
                                                     | 
                
                 | 
                    First priority is given if a distinct selection mask is provided, with a  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    401
                 | 
                                    
                                                     | 
                
                 | 
                    list of excluded regions to return only the source models within the selected  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    402
                 | 
                                    
                                                     | 
                
                 | 
                    ROI.  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    403
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    404
                 | 
                                    
                                                     | 
                
                 | 
                    Second priority is on creating a Circular ROI as per the given radius, and  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    405
                 | 
                                    
                                                     | 
                
                 | 
                    freeze all the spectral parameters of the models of the sources.  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    406
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    407
                 | 
                                    
                                                     | 
                
                 | 
                    Third priority is when a list of free_sources is provided, then the  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    408
                 | 
                                    
                                                     | 
                
                 | 
                    spectral amplitude of models of those sources, if present in the given list  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    409
                 | 
                                    
                                                     | 
                
                 | 
                    of models, will be unfrozen, and hence, allowed to be variable for fitting.  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    410
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    411
                 | 
                                    
                                                     | 
                
                 | 
                    Parameters  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    412
                 | 
                                    
                                                     | 
                
                 | 
                    ----------  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    413
                 | 
                                    
                                                     | 
                
                 | 
                    list_sources: '~gammapy.modeling.models.Models'  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    414
                 | 
                                    
                                                     | 
                
                 | 
                        Models object containing a list of source models.  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    415
                 | 
                                    
                                                     | 
                
                 | 
                    target_source: 'str'  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    416
                 | 
                                    
                                                     | 
                
                 | 
                        Name of the target source, whose position is used as the center of ROI.  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    417
                 | 
                                    
                                                     | 
                
                 | 
                    selection_mask: 'WcsNDMap'  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    418
                 | 
                                    
                                                     | 
                
                 | 
                        Map containing a boolean mask to apply to Models object.  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    419
                 | 
                                    
                                                     | 
                
                 | 
                    roi_radius: 'astropy.units.Quantity' or 'asgardpy.data.base.AngleType'  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    420
                 | 
                                    
                                                     | 
                
                 | 
                        Radius for a circular region around ROI (deg)  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    421
                 | 
                                    
                                                     | 
                
                 | 
                    free_sources: 'list'  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    422
                 | 
                                    
                                                     | 
                
                 | 
                        List of source names for which the spectral amplitude is to be kept free.  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    423
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    424
                 | 
                                    
                                                     | 
                
                 | 
                    Returns  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    425
                 | 
                                    
                                                     | 
                
                 | 
                    -------  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    426
                 | 
                                    
                                                     | 
                
                 | 
                    list_sources: '~gammapy.modeling.models.Models'  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    427
                 | 
                                    
                                                     | 
                
                 | 
                        Selected Models object.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    428
                 | 
                                    
                                                     | 
                
                 | 
                    """  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    429
                 | 
                                    
                                                     | 
                
                 | 
                    list_sources_excluded = []  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    430
                 | 
                                    
                                                     | 
                
                 | 
                    list_diffuse = []  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    431
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    432
                 | 
                                    
                                                     | 
                
                 | 
                    if free_sources is None:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    433
                 | 
                                    
                                                     | 
                
                 | 
                        free_sources = []  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    434
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    435
                 | 
                                    
                                                     | 
                
                 | 
                    # Separate the list of sources and diffuse background  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    436
                 | 
                                    
                                                     | 
                
                 | 
                    for model_ in list_sources:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    437
                 | 
                                    
                                                     | 
                
                 | 
                        if "diffuse" in model_.name or "bkg" in model_.name:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    438
                 | 
                                    
                                                     | 
                
                 | 
                            list_diffuse.append(model_)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    439
                 | 
                                    
                                                     | 
                
                 | 
                        else:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    440
                 | 
                                    
                                                     | 
                
                 | 
                            list_sources_excluded.append(model_)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    441
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    442
                 | 
                                    
                                                     | 
                
                 | 
                    list_sources_excluded = Models(list_sources_excluded)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    443
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    444
                 | 
                                    
                                                     | 
                
                 | 
                    # If a distinct selection mask is provided  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    445
                 | 
                                    
                                                     | 
                
                 | 
                    if selection_mask:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    446
                 | 
                                    
                                                     | 
                
                 | 
                        list_sources_excluded = list_sources_excluded.select_mask(selection_mask)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    447
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    448
                 | 
                                    
                                                     | 
                
                 | 
                    list_sources_excluded = apply_models_mask_in_roi(  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    449
                 | 
                                    
                                                     | 
                
                 | 
                        list_sources_excluded, target_source, roi_radius, free_sources  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    450
                 | 
                                    
                                                     | 
                
                 | 
                    )  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    451
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    452
                 | 
                                    
                                                     | 
                
                 | 
                    # Add the diffuse background models back  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    453
                 | 
                                    
                                                     | 
                
                 | 
                    for diff_ in list_diffuse:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    454
                 | 
                                    
                                                     | 
                
                 | 
                        list_sources_excluded.append(diff_)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    455
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    456
                 | 
                                    
                                                     | 
                
                 | 
                    # Re-assign to the main variable  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    457
                 | 
                                    
                                                     | 
                
                 | 
                    list_sources = list_sources_excluded  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    458
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    459
                 | 
                                    
                                                     | 
                
                 | 
                    return list_sources  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    460
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    461
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    462
                 | 
                                    
                                                     | 
                
                 | 
                # Functions for Models generation  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    463
                 | 
                                    
                                                     | 
                
                 | 
                def add_ebl_model_from_config(spectral_model, model_config):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    464
                 | 
                                    
                                                     | 
                
                 | 
                    """  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    465
                 | 
                                    
                                                     | 
                
                 | 
                    Function for adding the EBL model from a given AsgardpyConfig file to the  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    466
                 | 
                                    
                                                     | 
                
                 | 
                    given spectral model (assumed intrinsic).  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    467
                 | 
                                    
                                                     | 
                
                 | 
                    """  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    468
                 | 
                                    
                                                     | 
                
                 | 
                    ebl_model = model_config.spectral.ebl_abs  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    469
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    470
                 | 
                                    
                                                     | 
                
                 | 
                    # First check for filename of a custom EBL model  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    471
                 | 
                                    
                                                     | 
                
                 | 
                    if ebl_model.filename.is_file():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    472
                 | 
                                    
                                                     | 
                
                 | 
                        model2 = EBLAbsorptionNormSpectralModel.read(str(ebl_model.filename), redshift=ebl_model.redshift)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    473
                 | 
                                    
                                                     | 
                
                 | 
                        # Update the reference name when using the custom EBL model for logging  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    474
                 | 
                                    
                                                     | 
                
                 | 
                        ebl_model.reference = ebl_model.filename.name[:-8].replace("-", "_") | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    475
                 | 
                                    
                                                     | 
                
                 | 
                    else:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    476
                 | 
                                    
                                                     | 
                
                 | 
                        model2 = EBLAbsorptionNormSpectralModel.read_builtin(ebl_model.reference, redshift=ebl_model.redshift)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    477
                 | 
                                    
                                                     | 
                
                 | 
                    if ebl_model.alpha_norm:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    478
                 | 
                                    
                                                     | 
                
                 | 
                        model2.alpha_norm.value = ebl_model.alpha_norm  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    479
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    480
                 | 
                                    
                                                     | 
                
                 | 
                    spectral_model *= model2  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    481
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    482
                 | 
                                    
                                                     | 
                
                 | 
                    return spectral_model  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    483
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    484
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    485
                 | 
                                    
                                                     | 
                
                 | 
                def read_models_from_asgardpy_config(config):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    486
                 | 
                                    
                                                     | 
                
                 | 
                    """  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    487
                 | 
                                    
                                                     | 
                
                 | 
                    Reading Models information from AsgardpyConfig and return Models object.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    488
                 | 
                                    
                                                     | 
                
                 | 
                    If a FoVBackgroundModel information is provided, it will also be added.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    489
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    490
                 | 
                                    
                                                     | 
                
                 | 
                    Parameter  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    491
                 | 
                                    
                                                     | 
                
                 | 
                    ---------  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    492
                 | 
                                    
                                                     | 
                
                 | 
                    config: `AsgardpyConfig`  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    493
                 | 
                                    
                                                     | 
                
                 | 
                        Config section containing Target source information  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    494
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    495
                 | 
                                    
                                                     | 
                
                 | 
                    Returns  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    496
                 | 
                                    
                                                     | 
                
                 | 
                    -------  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    497
                 | 
                                    
                                                     | 
                
                 | 
                    models: `gammapy.modeling.models.Models`  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    498
                 | 
                                    
                                                     | 
                
                 | 
                        Full gammapy Models object.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    499
                 | 
                                    
                                                     | 
                
                 | 
                    """  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    500
                 | 
                                    
                                                     | 
                
                 | 
                    models = Models()  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    501
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    502
                 | 
                                    
                                                     | 
                
                 | 
                    for model_config in config.components:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    503
                 | 
                                    
                                                     | 
                
                 | 
                        # Spectral Model  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    504
                 | 
                                    
                                                     | 
                
                 | 
                        spectral_model = SPECTRAL_MODEL_REGISTRY.get_cls(model_config.spectral.type)().from_dict(  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    505
                 | 
                                    
                                                     | 
                
                 | 
                            {"spectral": config_to_dict(model_config.spectral)} | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    506
                 | 
                                    
                                                     | 
                
                 | 
                        )  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    507
                 | 
                                    
                                                     | 
                
                 | 
                        if model_config.spectral.ebl_abs.reference != "":  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    508
                 | 
                                    
                                                     | 
                
                 | 
                            spectral_model = add_ebl_model_from_config(spectral_model, model_config)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    509
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    510
                 | 
                                    
                                                     | 
                
                 | 
                        spectral_model.name = config.source_name  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    511
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    512
                 | 
                                    
                                                     | 
                
                 | 
                        # Spatial model if provided  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    513
                 | 
                                    
                                                     | 
                
                 | 
                        if model_config.spatial.type != "":  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    514
                 | 
                                    
                                                     | 
                
                 | 
                            spatial_model = SPATIAL_MODEL_REGISTRY.get_cls(model_config.spatial.type)().from_dict(  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    515
                 | 
                                    
                                                     | 
                
                 | 
                                {"spatial": config_to_dict(model_config.spatial)} | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    516
                 | 
                                    
                                                     | 
                
                 | 
                            )  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    517
                 | 
                                    
                                                     | 
                
                 | 
                        else:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    518
                 | 
                                    
                                                     | 
                
                 | 
                            spatial_model = None  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    519
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    520
                 | 
                                    
                                                     | 
                
                 | 
                        match model_config.type:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    521
                 | 
                                    
                                                     | 
                
                 | 
                            case "SkyModel":  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    522
                 | 
                                    
                                                     | 
                
                 | 
                                models.append(  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    523
                 | 
                                    
                                                     | 
                
                 | 
                                    SkyModel(  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    524
                 | 
                                    
                                                     | 
                
                 | 
                                        spectral_model=spectral_model,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    525
                 | 
                                    
                                                     | 
                
                 | 
                                        spatial_model=spatial_model,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    526
                 | 
                                    
                                                     | 
                
                 | 
                                        name=config.source_name,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    527
                 | 
                                    
                                                     | 
                
                 | 
                                    )  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    528
                 | 
                                    
                                                     | 
                
                 | 
                                )  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    529
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    530
                 | 
                                    
                                                     | 
                
                 | 
                            # FoVBackgroundModel is the second component  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    531
                 | 
                                    
                                                     | 
                
                 | 
                            case "FoVBackgroundModel":  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    532
                 | 
                                    
                                                     | 
                
                 | 
                                models.append(  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    533
                 | 
                                    
                                                     | 
                
                 | 
                                    FoVBackgroundModel(  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    534
                 | 
                                    
                                                     | 
                
                 | 
                                        spectral_model=spectral_model,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    535
                 | 
                                    
                                                     | 
                
                 | 
                                        spatial_model=spatial_model,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    536
                 | 
                                    
                                                     | 
                
                 | 
                                        dataset_name=model_config.datasets_names[0],  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    537
                 | 
                                    
                                                     | 
                
                 | 
                                    )  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    538
                 | 
                                    
                                                     | 
                
                 | 
                                )  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    539
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    540
                 | 
                                    
                                                     | 
                
                 | 
                    return models  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    541
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    542
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    543
                 | 
                                    
                                                     | 
                
                 | 
                def config_to_dict(model_config):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    544
                 | 
                                    
                                                     | 
                
                 | 
                    """  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    545
                 | 
                                    
                                                     | 
                
                 | 
                    Convert the Spectral/Spatial models into dict.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    546
                 | 
                                    
                                                     | 
                
                 | 
                    Probably an extra step and maybe removed later.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    547
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    548
                 | 
                                    
                                                     | 
                
                 | 
                    Parameter  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    549
                 | 
                                    
                                                     | 
                
                 | 
                    ---------  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    550
                 | 
                                    
                                                     | 
                
                 | 
                    model_config: `AsgardpyConfig`  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    551
                 | 
                                    
                                                     | 
                
                 | 
                        Config section containing Target Model SkyModel components only.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    552
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    553
                 | 
                                    
                                                     | 
                
                 | 
                    Returns  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    554
                 | 
                                    
                                                     | 
                
                 | 
                    -------  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    555
                 | 
                                    
                                                     | 
                
                 | 
                    model_dict: dict  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    556
                 | 
                                    
                                                     | 
                
                 | 
                        dictionary of the particular model.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    557
                 | 
                                    
                                                     | 
                
                 | 
                    """  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    558
                 | 
                                    
                                                     | 
                
                 | 
                    model_dict = {} | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    559
                 | 
                                    
                                                     | 
                
                 | 
                    model_dict["type"] = str(model_config.type)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    560
                 | 
                                    
                                                     | 
                
                 | 
                    model_dict["parameters"] = []  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    561
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    562
                 | 
                                    
                                                     | 
                
                 | 
                    for par in model_config.parameters:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    563
                 | 
                                    
                                                     | 
                
                 | 
                        par_dict = {} | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    564
                 | 
                                    
                                                     | 
                
                 | 
                        par_dict["name"] = par.name  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    565
                 | 
                                    
                                                     | 
                
                 | 
                        par_dict["value"] = par.value  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    566
                 | 
                                    
                                                     | 
                
                 | 
                        par_dict["unit"] = par.unit  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    567
                 | 
                                    
                                                     | 
                
                 | 
                        par_dict["error"] = par.error  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    568
                 | 
                                    
                                                     | 
                
                 | 
                        par_dict["min"] = par.min  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    569
                 | 
                                    
                                                     | 
                
                 | 
                        par_dict["max"] = par.max  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    570
                 | 
                                    
                                                     | 
                
                 | 
                        par_dict["frozen"] = par.frozen  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    571
                 | 
                                    
                                                     | 
                
                 | 
                        model_dict["parameters"].append(par_dict)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    572
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    573
                 | 
                                    
                                                     | 
                
                 | 
                    # For spatial model, include frame info  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    574
                 | 
                                    
                                                     | 
                
                 | 
                    if hasattr(model_config, "frame"):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    575
                 | 
                                    
                                                     | 
                
                 | 
                        model_dict["frame"] = model_config.frame  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    576
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                                                                
            
                                    
            
            
                | 
                    577
                 | 
                                    
                                                     | 
                
                 | 
                    return model_dict  | 
            
            
                                                        
            
                                    
            
            
                | 
                    578
                 | 
                                    
                                                     | 
                
                 | 
                 |