# Licensed under a 3-clause BSD style license - see LICENSE.rst
"""
Contains the transformation functions for getting to "observed" systems from ICRS.
"""
import erfa

from astropy import units as u
from astropy.coordinates.builtin_frames.utils import atciqz, aticq
from astropy.coordinates.baseframe import frame_transform_graph
from astropy.coordinates.transformations import FunctionTransformWithFiniteDifference
from astropy.coordinates.representation import (SphericalRepresentation,
                                                CartesianRepresentation,
                                                UnitSphericalRepresentation)

from .icrs import ICRS
from .altaz import AltAz
from .hadec import HADec
from .utils import PIOVER2
from ..erfa_astrom import erfa_astrom


@frame_transform_graph.transform(FunctionTransformWithFiniteDifference, ICRS, AltAz)
@frame_transform_graph.transform(FunctionTransformWithFiniteDifference, ICRS, HADec)
def icrs_to_observed(icrs_coo, observed_frame):
    # if the data are UnitSphericalRepresentation, we can skip the distance calculations
    is_unitspherical = (isinstance(icrs_coo.data, UnitSphericalRepresentation) or
                        icrs_coo.cartesian.x.unit == u.one)
    # first set up the astrometry context for ICRS<->observed
    astrom = erfa_astrom.get().apco(observed_frame)

    # correct for parallax to find BCRS direction from observer (as in erfa.pmpx)
    if is_unitspherical:
        srepr = icrs_coo.spherical
    else:
        observer_icrs = CartesianRepresentation(astrom['eb'], unit=u.au, xyz_axis=-1, copy=False)
        srepr = (icrs_coo.cartesian - observer_icrs).represent_as(
            SphericalRepresentation)

    # convert to topocentric CIRS
    cirs_ra, cirs_dec = atciqz(srepr, astrom)

    # now perform observed conversion
    if isinstance(observed_frame, AltAz):
        lon, zen, _, _, _ = erfa.atioq(cirs_ra, cirs_dec, astrom)
        lat = PIOVER2 - zen
    else:
        _, _, lon, lat, _ = erfa.atioq(cirs_ra, cirs_dec, astrom)

    if is_unitspherical:
        obs_srepr = UnitSphericalRepresentation(lon << u.radian, lat << u.radian, copy=False)
    else:
        obs_srepr = SphericalRepresentation(lon << u.radian, lat << u.radian, srepr.distance, copy=False)
    return observed_frame.realize_frame(obs_srepr)


@frame_transform_graph.transform(FunctionTransformWithFiniteDifference, AltAz, ICRS)
@frame_transform_graph.transform(FunctionTransformWithFiniteDifference, HADec, ICRS)
def observed_to_icrs(observed_coo, icrs_frame):
    # if the data are UnitSphericalRepresentation, we can skip the distance calculations
    is_unitspherical = (isinstance(observed_coo.data, UnitSphericalRepresentation) or
                        observed_coo.cartesian.x.unit == u.one)

    usrepr = observed_coo.represent_as(UnitSphericalRepresentation)
    lon = usrepr.lon.to_value(u.radian)
    lat = usrepr.lat.to_value(u.radian)

    if isinstance(observed_coo, AltAz):
        # the 'A' indicates zen/az inputs
        coord_type = 'A'
        lat = PIOVER2 - lat
    else:
        coord_type = 'H'

    # first set up the astrometry context for ICRS<->CIRS at the observed_coo time
    astrom = erfa_astrom.get().apco(observed_coo)

    # Topocentric CIRS
    cirs_ra, cirs_dec = erfa.atoiq(coord_type, lon, lat, astrom) << u.radian
    if is_unitspherical:
        srepr = SphericalRepresentation(cirs_ra, cirs_dec, 1, copy=False)
    else:
        srepr = SphericalRepresentation(lon=cirs_ra, lat=cirs_dec,
                                        distance=observed_coo.distance, copy=False)

    # BCRS (Astrometric) direction to source
    bcrs_ra, bcrs_dec = aticq(srepr, astrom) << u.radian

    # Correct for parallax to get ICRS representation
    if is_unitspherical:
        icrs_srepr = UnitSphericalRepresentation(bcrs_ra, bcrs_dec, copy=False)
    else:
        icrs_srepr = SphericalRepresentation(lon=bcrs_ra, lat=bcrs_dec,
                                             distance=observed_coo.distance, copy=False)
        observer_icrs = CartesianRepresentation(astrom['eb'], unit=u.au, xyz_axis=-1, copy=False)
        newrepr = icrs_srepr.to_cartesian() + observer_icrs
        icrs_srepr = newrepr.represent_as(SphericalRepresentation)

    return icrs_frame.realize_frame(icrs_srepr)


# Create loopback transformations
frame_transform_graph._add_merged_transform(AltAz, ICRS, AltAz)
frame_transform_graph._add_merged_transform(HADec, ICRS, HADec)
# for now we just implement this through ICRS to make sure we get everything
# covered
# Before, this was using CIRS as intermediate frame, however this is much
# slower than the direct observed<->ICRS transform added in 4.3
# due to how the frame attribute broadcasting works, see
# https://github.com/astropy/astropy/pull/10994#issuecomment-722617041
