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# Source code for astropy.coordinates.builtin_frames.skyoffset

    # Licensed under a 3-clause BSD style license - see LICENSE.rst
    from astropy import units as u
    from astropy.coordinates.attributes import CoordinateAttribute, QuantityAttribute
    from astropy.coordinates.baseframe import BaseCoordinateFrame, frame_transform_graph
    from astropy.coordinates.matrix_utilities import matrix_transpose, rotation_matrix
    from astropy.coordinates.transformations import (
        DynamicMatrixTransform,
        FunctionTransform,
    )

    _skyoffset_cache = {}

    def make_skyoffset_cls(framecls):
        """
        Create a new class that is the sky offset frame for a specific class of
        origin frame. If such a class has already been created for this frame, the
        same class will be returned.

        The new class will always have component names for spherical coordinates of
        ``lon``/``lat``.

        Parameters
        ----------
        framecls : `~astropy.coordinates.BaseCoordinateFrame` subclass
            The class to create the SkyOffsetFrame of.

        Returns
        -------
        skyoffsetframecls : class
            The class for the new skyoffset frame.

        Notes
        -----
        This function is necessary because Astropy's frame transformations depend
        on connection between specific frame *classes*.  So each type of frame
        needs its own distinct skyoffset frame class.  This function generates
        just that class, as well as ensuring that only one example of such a class
        actually gets created in any given python session.
        """

        if framecls in _skyoffset_cache:
            return _skyoffset_cache[framecls]

        # Create a new SkyOffsetFrame subclass for this frame class.
        name = "SkyOffset" + framecls.__name__
        _SkyOffsetFramecls = type(
            name,
            (SkyOffsetFrame, framecls),
            {
                "origin": CoordinateAttribute(frame=framecls, default=None),
                # The following two have to be done because otherwise we use the
                # defaults of SkyOffsetFrame set by BaseCoordinateFrame.
                "_default_representation": framecls._default_representation,
                "_default_differential": framecls._default_differential,
                "__doc__": SkyOffsetFrame.__doc__,
            },
        )

        @frame_transform_graph.transform(
            FunctionTransform, _SkyOffsetFramecls, _SkyOffsetFramecls
        )
        def skyoffset_to_skyoffset(from_skyoffset_coord, to_skyoffset_frame):
            """Transform between two skyoffset frames."""

            # This transform goes through the parent frames on each side.
            # from_frame -> from_frame.origin -> to_frame.origin -> to_frame
            tmp_from = from_skyoffset_coord.transform_to(from_skyoffset_coord.origin)
            tmp_to = tmp_from.transform_to(to_skyoffset_frame.origin)
            return tmp_to.transform_to(to_skyoffset_frame)

        @frame_transform_graph.transform(
            DynamicMatrixTransform, framecls, _SkyOffsetFramecls
        )
        def reference_to_skyoffset(reference_frame, skyoffset_frame):
            """Convert a reference coordinate to an sky offset frame."""

            # Define rotation matrices along the position angle vector, and
            # relative to the origin.
            origin = skyoffset_frame.origin.spherical
            return (
                rotation_matrix(-skyoffset_frame.rotation, "x")
                @ rotation_matrix(-origin.lat, "y")
                @ rotation_matrix(origin.lon, "z")
            )

        @frame_transform_graph.transform(
            DynamicMatrixTransform, _SkyOffsetFramecls, framecls
        )
        def skyoffset_to_reference(skyoffset_coord, reference_frame):
            """Convert an sky offset frame coordinate to the reference frame"""

            # use the forward transform, but just invert it
            R = reference_to_skyoffset(reference_frame, skyoffset_coord)
            # transpose is the inverse because R is a rotation matrix
            return matrix_transpose(R)

        _skyoffset_cache[framecls] = _SkyOffsetFramecls
        return _SkyOffsetFramecls

    class SkyOffsetFrame(BaseCoordinateFrame):
        """
        A frame which is relative to some specific position and oriented to match
        its frame.

        SkyOffsetFrames always have component names for spherical coordinates
        of ``lon``/``lat``, *not* the component names for the frame of ``origin``.

        This is useful for calculating offsets and dithers in the frame of the sky
        relative to an arbitrary position. Coordinates in this frame are both centered on the position specified by the
        ``origin`` coordinate, *and* they are oriented in the same manner as the
        ``origin`` frame.  E.g., if ``origin`` is `~astropy.coordinates.ICRS`, this
        object's ``lat`` will be pointed in the direction of Dec, while ``lon``
        will point in the direction of RA.

        For more on skyoffset frames, see :ref:`astropy:astropy-skyoffset-frames`.

        Parameters
        ----------
        representation : `~astropy.coordinates.BaseRepresentation` or None
            A representation object or None to have no data (or use the other keywords)
        origin : coordinate-like
            The coordinate which specifies the origin of this frame. Note that this
            origin is used purely for on-sky location/rotation.  It can have a
            ``distance`` but it will not be used by this ``SkyOffsetFrame``.
        rotation : angle-like
            The final rotation of the frame about the ``origin``. The sign of
            the rotation is the left-hand rule.  That is, an object at a
            particular position angle in the un-rotated system will be sent to
            the positive latitude (z) direction in the final frame.

        Notes
        -----
        ``SkyOffsetFrame`` is a factory class.  That is, the objects that it
        yields are *not* actually objects of class ``SkyOffsetFrame``.  Instead,
        distinct classes are created on-the-fly for whatever the frame class is
        of ``origin``.
        """

        rotation = QuantityAttribute(default=0, unit=u.deg)
        origin = CoordinateAttribute(default=None, frame=None)

        def __new__(cls, *args, **kwargs):
            # We don't want to call this method if we've already set up
            # an skyoffset frame for this class.
            if not (issubclass(cls, SkyOffsetFrame) and cls is not SkyOffsetFrame):
                # We get the origin argument, and handle it here.
                try:
                    origin_frame = kwargs["origin"]
                except KeyError:
                    raise TypeError(
                        "Can't initialize a SkyOffsetFrame without origin= keyword."
                    )
                if hasattr(origin_frame, "frame"):
                    origin_frame = origin_frame.frame
                newcls = make_skyoffset_cls(origin_frame.__class__)
                return newcls.__new__(newcls, *args, **kwargs)

            # http://stackoverflow.com/questions/19277399/why-does-object-new-work-differently-in-these-three-cases
            # See above for why this is necessary. Basically, because some child
            # may override __new__, we must override it here to never pass
            # arguments to the object.__new__ method.
            if super().__new__ is object.__new__:
                return super().__new__(cls)
            return super().__new__(cls, *args, **kwargs)

        def __init__(self, *args, **kwargs):
            super().__init__(*args, **kwargs)
            if self.origin is not None and not self.origin.has_data:
                raise ValueError("The origin supplied to SkyOffsetFrame has no data.")
            if self.has_data:
                self._set_skyoffset_data_lon_wrap_angle(self.data)

        @staticmethod
        def _set_skyoffset_data_lon_wrap_angle(data):
            if hasattr(data, "lon"):
                data.lon.wrap_angle = 180.0 * u.deg
            return data

        def represent_as(self, base, s="base", in_frame_units=False):
            """
            Ensure the wrap angle for any spherical
            representations.
            """
            data = super().represent_as(base, s, in_frame_units=in_frame_units)
            self._set_skyoffset_data_lon_wrap_angle(data)
            return data

        def __reduce__(self):
            return (_skyoffset_reducer, (self.origin,), self.__dict__)

    def _skyoffset_reducer(origin):
        return SkyOffsetFrame.__new__(SkyOffsetFrame, origin=origin)