# -*- coding: utf-8 -*-
# Licensed under a 3-clause BSD style license - see LICENSE.rst

from astropy import units as u
from astropy.utils.decorators import format_doc
from astropy.coordinates.angles import Angle
from astropy.coordinates import representation as r
from astropy.coordinates.baseframe import BaseCoordinateFrame, RepresentationMapping, base_doc

# these are needed for defining the NGP
from .fk5 import FK5
from .fk4 import FK4NoETerms

__all__ = ['Galactic']


doc_components = """
    l : `~astropy.coordinates.Angle`, optional, keyword-only
        The Galactic longitude for this object (``b`` must also be given and
        ``representation`` must be None).
    b : `~astropy.coordinates.Angle`, optional, keyword-only
        The Galactic latitude for this object (``l`` must also be given and
        ``representation`` must be None).
    distance : `~astropy.units.Quantity` ['length'], optional, keyword-only
        The Distance for this object along the line-of-sight.

    pm_l_cosb : `~astropy.units.Quantity` ['angular speed'], optional, keyword-only
        The proper motion in Galactic longitude (including the ``cos(b)`` term)
        for this object (``pm_b`` must also be given).
    pm_b : `~astropy.units.Quantity` ['angular speed'], optional, keyword-only
        The proper motion in Galactic latitude for this object (``pm_l_cosb``
        must also be given).
    radial_velocity : `~astropy.units.Quantity` ['speed'], optional, keyword-only
        The radial velocity of this object.
"""

doc_footer = """
    Notes
    -----
    .. [1] Blaauw, A.; Gum, C. S.; Pawsey, J. L.; Westerhout, G. (1960), "The
       new I.A.U. system of galactic coordinates (1958 revision),"
       `MNRAS, Vol 121, pp.123 <https://ui.adsabs.harvard.edu/abs/1960MNRAS.121..123B>`_.
"""


@format_doc(base_doc, components=doc_components, footer=doc_footer)
class Galactic(BaseCoordinateFrame):
    """
    A coordinate or frame in the Galactic coordinate system.

    This frame is used in a variety of Galactic contexts because it has as its
    x-y plane the plane of the Milky Way.  The positive x direction (i.e., the
    l=0, b=0 direction) points to the center of the Milky Way and the z-axis
    points toward the North Galactic Pole (following the IAU's 1958 definition
    [1]_). However, unlike the `~astropy.coordinates.Galactocentric` frame, the
    *origin* of this frame in 3D space is the solar system barycenter, not
    the center of the Milky Way.
    """

    frame_specific_representation_info = {
        r.SphericalRepresentation: [
            RepresentationMapping('lon', 'l'),
            RepresentationMapping('lat', 'b')
        ],
        r.CartesianRepresentation: [
            RepresentationMapping('x', 'u'),
            RepresentationMapping('y', 'v'),
            RepresentationMapping('z', 'w')
        ],
        r.CartesianDifferential: [
            RepresentationMapping('d_x', 'U', u.km/u.s),
            RepresentationMapping('d_y', 'V', u.km/u.s),
            RepresentationMapping('d_z', 'W', u.km/u.s)
        ]
    }

    default_representation = r.SphericalRepresentation
    default_differential = r.SphericalCosLatDifferential

    # North galactic pole and zeropoint of l in FK4/FK5 coordinates. Needed for
    # transformations to/from FK4/5

    # These are from the IAU's definition of galactic coordinates
    _ngp_B1950 = FK4NoETerms(ra=192.25*u.degree, dec=27.4*u.degree)
    _lon0_B1950 = Angle(123, u.degree)

    # These are *not* from Reid & Brunthaler 2004 - instead, they were
    # derived by doing:
    #
    # >>> FK4NoETerms(ra=192.25*u.degree, dec=27.4*u.degree).transform_to(FK5())
    #
    # This gives better consistency with other codes than using the values
    # from Reid & Brunthaler 2004 and the best self-consistency between FK5
    # -> Galactic and FK5 -> FK4 -> Galactic. The lon0 angle was found by
    # optimizing the self-consistency.
    _ngp_J2000 = FK5(ra=192.8594812065348*u.degree, dec=27.12825118085622*u.degree)
    _lon0_J2000 = Angle(122.9319185680026, u.degree)