# Licensed under a 3-clause BSD style license - see LICENSE.rst


"""
Tests for the projected separation stuff
"""

import numpy as np
import pytest

from astropy import units as u
from astropy.coordinates import Angle, Distance
from astropy.coordinates.builtin_frames import FK5, ICRS, Galactic
from astropy.tests.helper import assert_quantity_allclose as assert_allclose

# lon1, lat1, lon2, lat2 in degrees
coords = [
    (1, 0, 0, 0),
    (0, 1, 0, 0),
    (0, 0, 1, 0),
    (0, 0, 0, 1),
    (0, 0, 10, 0),
    (0, 0, 90, 0),
    (0, 0, 180, 0),
    (0, 45, 0, -45),
    (0, 60, 0, -30),
    (-135, -15, 45, 15),
    (100, -89, -80, 89),
    (0, 0, 0, 0),
    (0, 0, 1.0 / 60.0, 1.0 / 60.0),
]
correct_seps = [1, 1, 1, 1, 10, 90, 180, 90, 90, 180, 180, 0, 0.023570225877234643]
correctness_margin = 2e-10


def test_angsep():
    """
    Tests that the angular separation object also behaves correctly.
    """
    from astropy.coordinates.angle_utilities import angular_separation

    # check it both works with floats in radians, Quantities, or Angles
    for conv in (np.deg2rad, lambda x: u.Quantity(x, "deg"), lambda x: Angle(x, "deg")):
        for (lon1, lat1, lon2, lat2), corrsep in zip(coords, correct_seps):
            angsep = angular_separation(conv(lon1), conv(lat1), conv(lon2), conv(lat2))
            assert np.fabs(angsep - conv(corrsep)) < conv(correctness_margin)


def test_fk5_seps():
    """
    This tests if `separation` works for FK5 objects.

    This is a regression test for github issue #891
    """
    a = FK5(1.0 * u.deg, 1.0 * u.deg)
    b = FK5(2.0 * u.deg, 2.0 * u.deg)
    a.separation(b)


def test_proj_separations():
    """
    Test angular separation functionality
    """
    c1 = ICRS(ra=0 * u.deg, dec=0 * u.deg)
    c2 = ICRS(ra=0 * u.deg, dec=1 * u.deg)

    sep = c2.separation(c1)
    # returns an Angle object
    assert isinstance(sep, Angle)

    assert_allclose(sep.degree, 1.0)
    assert_allclose(sep.arcminute, 60.0)

    # these operations have ambiguous interpretations for points on a sphere
    with pytest.raises(TypeError):
        c1 + c2
    with pytest.raises(TypeError):
        c1 - c2

    ngp = Galactic(l=0 * u.degree, b=90 * u.degree)
    ncp = ICRS(ra=0 * u.degree, dec=90 * u.degree)

    # if there is a defined conversion between the relevant coordinate systems,
    # it will be automatically performed to get the right angular separation
    assert_allclose(
        ncp.separation(ngp.transform_to(ICRS())).degree, ncp.separation(ngp).degree
    )

    # distance from the north galactic pole to celestial pole
    assert_allclose(ncp.separation(ngp.transform_to(ICRS())).degree, 62.87174758503201)


def test_3d_separations():
    """
    Test 3D separation functionality
    """
    c1 = ICRS(ra=1 * u.deg, dec=1 * u.deg, distance=9 * u.kpc)
    c2 = ICRS(ra=1 * u.deg, dec=1 * u.deg, distance=10 * u.kpc)

    sep3d = c2.separation_3d(c1)

    assert isinstance(sep3d, Distance)
    assert_allclose(sep3d - 1 * u.kpc, 0 * u.kpc, atol=1e-12 * u.kpc)