# -*- coding: utf-8 -*-
# Licensed under a 3-clause BSD style license - see LICENSE.rst
"""
Contains the transofrmation functions for getting from ICRS to CIRS and anything
in between (currently that means GCRS)
"""
from __future__ import (absolute_import, unicode_literals, division,
                        print_function)

import numpy as np

from ... import units as u
from ..baseframe import frame_transform_graph
from ..transformations import FunctionTransform
from ..representation import (SphericalRepresentation, CartesianRepresentation,
                              UnitSphericalRepresentation)
from ... import _erfa as erfa

from .icrs import ICRS
from .gcrs import GCRS
from .cirs import CIRS


#first the ICRS/CIRS related transforms

@frame_transform_graph.transform(FunctionTransform, ICRS, CIRS)
def icrs_to_cirs(icrs_coo, cirs_frame):
    #first set up the astrometry context for ICRS<->CIRS
    astrom, eo = erfa.apci13(cirs_frame.obstime.jd1, cirs_frame.obstime.jd2)

    if icrs_coo.data.get_name() == 'unitspherical'  or icrs_coo.data.to_cartesian().x.unit == u.one:
        # if no distance, just do the infinite-distance/no parallax calculation
        usrepr = icrs_coo.represent_as(UnitSphericalRepresentation)
        i_ra = usrepr.lon.to(u.radian).value
        i_dec = usrepr.lat.to(u.radian).value
        cirs_ra, cirs_dec = erfa.atciqz(i_ra, i_dec, astrom)

        newrep = UnitSphericalRepresentation(lat=u.Quantity(cirs_dec, u.radian, copy=False),
                                             lon=u.Quantity(cirs_ra, u.radian, copy=False),
                                             copy=False)
    else:
        # When there is a distance,  we first offset for parallax to get the
        # astrometric coordinate direction and *then* run the ERFA transform for
        # no parallax/PM. This ensures reversiblity and is more sensible for
        # inside solar system objects
        newxyz = icrs_coo.cartesian.xyz.T - astrom['eb']*u.au
        newcart = CartesianRepresentation(newxyz.T)

        srepr = newcart.represent_as(SphericalRepresentation)
        i_ra = srepr.lon.to(u.radian).value
        i_dec = srepr.lat.to(u.radian).value
        cirs_ra, cirs_dec = erfa.atciqz(i_ra, i_dec, astrom)

        newrep = SphericalRepresentation(lat=u.Quantity(cirs_dec, u.radian, copy=False),
                                         lon=u.Quantity(cirs_ra, u.radian, copy=False),
                                         distance=srepr.distance, copy=False)

    return cirs_frame.realize_frame(newrep)

@frame_transform_graph.transform(FunctionTransform, CIRS, ICRS)
def cirs_to_icrs(cirs_coo, icrs_frame):
    srepr = cirs_coo.represent_as(UnitSphericalRepresentation)
    cirs_ra = srepr.lon.to(u.radian).value
    cirs_dec = srepr.lat.to(u.radian).value

    # set up the astrometry context for ICRS<->cirs and then convert to
    # astrometric coordinate direction
    astrom, eo = erfa.apci13(cirs_coo.obstime.jd1, cirs_coo.obstime.jd2)
    i_ra, i_dec = erfa.aticq(cirs_ra, cirs_dec, astrom)

    if cirs_coo.data.get_name() == 'unitspherical'  or cirs_coo.data.to_cartesian().x.unit == u.one:
        # if no distance, just use the coordinate direction to yield the
        # infinite-distance/no parallax answer
        newrep = UnitSphericalRepresentation(lat=u.Quantity(i_dec, u.radian, copy=False),
                                             lon=u.Quantity(i_ra, u.radian, copy=False),
                                             copy=False)
    else:
        # When there is a distance, apply the parallax/offset to the SSB as the
        # last step - ensures round-tripping with the icrs_to_cirs transform

        # the distance in intermedrep is *not* a real distance as it does not
        # include the offset back to the SSB
        intermedrep = SphericalRepresentation(lat=u.Quantity(i_dec, u.radian, copy=False),
                                              lon=u.Quantity(i_ra, u.radian, copy=False),
                                              distance=cirs_coo.distance,
                                              copy=False)

        newxyz = intermedrep.to_cartesian().xyz.T + astrom['eb']*u.au
        newrep = CartesianRepresentation(newxyz.T).represent_as(SphericalRepresentation)

    return icrs_frame.realize_frame(newrep)

@frame_transform_graph.transform(FunctionTransform, CIRS, CIRS)
def cirs_to_cirs(from_coo, to_frame):
    if np.all(from_coo.obstime == to_frame.obstime):
        return to_frame.realize_frame(from_coo.data)
    else:
        # the CIRS<-> CIRS transform actually goes through ICRS.  This has a
        # subtle implication that a point in CIRS is uniquely determined
        # by the corresponding astrometric ICRS coordinate *at its
        # current time*.  This has some subtle implications in terms of GR, but
        # is sort of glossed over in the current scheme because we are dropping
        # distances anyway.
        return from_coo.transform_to(ICRS).transform_to(to_frame)


# Now the GCRS-related transforms to/from ICRS

@frame_transform_graph.transform(FunctionTransform, ICRS, GCRS)
def icrs_to_gcrs(icrs_coo, gcrs_frame):
    #first set up the astrometry context for ICRS<->GCRS
    pv = np.array([gcrs_frame.obsgeoloc.value,
                   gcrs_frame.obsgeovel.value])
    astrom = erfa.apcs13(gcrs_frame.obstime.jd1, gcrs_frame.obstime.jd2, pv)

    if icrs_coo.data.get_name() == 'unitspherical'  or icrs_coo.data.to_cartesian().x.unit == u.one:
        # if no distance, just do the infinite-distance/no parallax calculation
        usrepr = icrs_coo.represent_as(UnitSphericalRepresentation)
        i_ra = usrepr.lon.to(u.radian).value
        i_dec = usrepr.lat.to(u.radian).value
        gcrs_ra, gcrs_dec = erfa.atciqz(i_ra, i_dec, astrom)

        newrep = UnitSphericalRepresentation(lat=u.Quantity(gcrs_dec, u.radian, copy=False),
                                             lon=u.Quantity(gcrs_ra, u.radian, copy=False),
                                             copy=False)
    else:
        # When there is a distance,  we first offset for parallax to get the
        # BCRS coordinate direction and *then* run the ERFA transform for no
        # parallax/PM. This ensures reversiblity and is more sensible for
        # inside solar system objects
        newxyz = icrs_coo.cartesian.xyz.T - astrom['eb']*u.au
        newcart = CartesianRepresentation(newxyz.T)

        srepr = newcart.represent_as(SphericalRepresentation)
        i_ra = srepr.lon.to(u.radian).value
        i_dec = srepr.lat.to(u.radian).value
        gcrs_ra, gcrs_dec = erfa.atciqz(i_ra, i_dec, astrom)

        newrep = SphericalRepresentation(lat=u.Quantity(gcrs_dec, u.radian, copy=False),
                                         lon=u.Quantity(gcrs_ra, u.radian, copy=False),
                                         distance=srepr.distance, copy=False)

    return gcrs_frame.realize_frame(newrep)


@frame_transform_graph.transform(FunctionTransform, GCRS, ICRS)
def gcrs_to_icrs(gcrs_coo, icrs_frame):
    srepr = gcrs_coo.represent_as(UnitSphericalRepresentation)
    gcrs_ra = srepr.lon.to(u.radian).value
    gcrs_dec = srepr.lat.to(u.radian).value

    # set up the astrometry context for ICRS<->GCRS and then convert to BCRS
    # coordinate direction
    pv = np.array([gcrs_coo.obsgeoloc.value,
                   gcrs_coo.obsgeovel.value])
    astrom = erfa.apcs13(gcrs_coo.obstime.jd1, gcrs_coo.obstime.jd2, pv)
    i_ra, i_dec = erfa.aticq(gcrs_ra, gcrs_dec, astrom)

    if gcrs_coo.data.get_name() == 'unitspherical'  or gcrs_coo.data.to_cartesian().x.unit == u.one:
        # if no distance, just use the coordinate direction to yield the
        # infinite-distance/no parallax answer
        newrep = UnitSphericalRepresentation(lat=u.Quantity(i_dec, u.radian, copy=False),
                                             lon=u.Quantity(i_ra, u.radian, copy=False),
                                             copy=False)
    else:
        # When there is a distance, apply the parallax/offset to the SSB as the
        # last step - ensures round-tripping with the icrs_to_gcrs transform

        # the distance in intermedrep is *not* a real distance as it does not
        # include the offset back to the SSB
        intermedrep = SphericalRepresentation(lat=u.Quantity(i_dec, u.radian, copy=False),
                                              lon=u.Quantity(i_ra, u.radian, copy=False),
                                              distance=gcrs_coo.distance,
                                              copy=False)

        newxyz = intermedrep.to_cartesian().xyz.T + astrom['eb']*u.au
        newrep = CartesianRepresentation(newxyz.T).represent_as(SphericalRepresentation)

    return icrs_frame.realize_frame(newrep)


@frame_transform_graph.transform(FunctionTransform, GCRS, GCRS)
def gcrs_to_gcrs(from_coo, to_frame):
    if np.all(from_coo.obstime == to_frame.obstime):
        return to_frame.realize_frame(from_coo.data)
    else:
        # like CIRS, we do this self-transform via ICRS
        return from_coo.transform_to(ICRS).transform_to(to_frame)
