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# Copyright Crown and Cartopy Contributors
#
# This file is part of Cartopy and is released under the BSD 3-clause license.
# See LICENSE in the root of the repository for full licensing details.
import numpy as np
from numpy.testing import assert_almost_equal, assert_array_almost_equal
import pytest
import shapely.geometry as sgeom
from cartopy import geodesic
class TestGeodesic:
def setup_class(self):
"""
Data sampled from the GeographicLib Test Data for Geodesics at:
https://geographiclib.sourceforge.io/html/geodesic.html#testgeod
"""
self.geod = geodesic.Geodesic()
# Fill a 10 by 7 numpy array with starting lons, lats, azimuths; ending
# lons, lats and azimuths and distances to travel.
data = np.array(
[
(0.0000000000, 36.5300423550, 176.1258751622, 5.7623446947,
-48.1642707791, 175.3343083163, 9398502.0434687007),
(0.0000000000, 20.8766024619, 6.9012827094, 163.9792202999,
64.2764863397, 165.0440144913, 10462971.2273696996),
(0.0000000000, 59.7405712203, 80.9569174535, 80.1969954660,
30.9857449391, 144.4488137288, 6549489.1863671001),
(0.0000000000, 38.6508883588, 18.3455177945, 23.5931524958,
66.3457305181, 37.7145989984, 3425212.4767990001),
(0.0000000000, 23.2214345509, 165.5720618611, 148.3625110902,
-68.8453788967, 39.2692310682, 14506511.2971898001),
(0.0000000000, 31.2989275984, 155.7723493796, 93.8764112107,
-69.2776346668, 98.5250397385, 13370814.5013951007),
(0.0000000000, 49.6823298563, 1.0175398481, 5.3554086646,
83.8681965431, 6.1667605618, 3815028.2543704999),
(0.0000000000, 32.7651878215, 98.6494285944, 70.3527194957,
2.4777491770, 123.5999412794, 8030520.7178932996),
(0.0000000000, 46.3648067071, 94.9148631993, 56.5676529172,
25.2581951337, 130.4405565458, 5485075.9286326999),
(0.0000000000, 33.7321188396, 147.9041907517, 33.1346935645,
-26.3211288531, 150.4502346224, 7512675.5414637001),
],
dtype=[('start_lon', np.float64),
('start_lat', np.float64),
('start_azi', np.float64),
('end_lon', np.float64),
('end_lat', np.float64),
('end_azi', np.float64),
('dist', np.float64)])
self.data = data.view(np.recarray)
self.start_pts = np.column_stack(
[self.data.start_lon, self.data.start_lat])
self.end_pts = np.column_stack(
[self.data.end_lon, self.data.end_lat])
self.direct_solution = np.column_stack(
[self.data.end_lon, self.data.end_lat, self.data.end_azi])
self.inverse_solution = np.column_stack(
[self.data.dist, self.data.start_azi, self.data.end_azi])
def test_direct(self):
geod_dir = self.geod.direct(self.start_pts, self.data.start_azi,
self.data.dist)
assert_array_almost_equal(geod_dir, self.direct_solution, decimal=5)
def test_direct_broadcast(self):
repeat_dists = np.repeat(self.data.dist[0:1], 10, axis=0)
repeat_start_pts = np.repeat(self.start_pts[0:1, :], 10, axis=0)
repeat_results = np.repeat(self.direct_solution[0:1, :], 10, axis=0)
geod_dir1 = self.geod.direct(self.start_pts[0], self.data.start_azi[0],
repeat_dists)
geod_dir2 = self.geod.direct(repeat_start_pts, self.data.start_azi[0],
self.data.dist[0])
assert_array_almost_equal(geod_dir1, repeat_results, decimal=5)
assert_array_almost_equal(geod_dir2, repeat_results, decimal=5)
def test_inverse(self):
geod_inv = self.geod.inverse(self.start_pts, self.end_pts)
assert_array_almost_equal(geod_inv, self.inverse_solution, decimal=5)
def test_inverse_broadcast(self):
repeat_start_pts = np.repeat(self.start_pts[0:1, :], 10, axis=0)
repeat_end_pts = np.repeat(self.end_pts[0:1, :], 10, axis=0)
repeat_results = np.repeat(self.inverse_solution[0:1, :], 10, axis=0)
geod_inv1 = self.geod.inverse(self.start_pts[0], repeat_end_pts)
geod_inv2 = self.geod.inverse(repeat_start_pts, self.end_pts[0])
assert_array_almost_equal(geod_inv1, repeat_results, decimal=5)
assert_array_almost_equal(geod_inv2, repeat_results, decimal=5)
def test_circle(self):
geod_circle = self.geod.circle(40, 50, 500000, n_samples=3)
assert_almost_equal(geod_circle,
np.array([[40., 54.49349757],
[34.23766162, 47.60355349],
[45.76233838, 47.60355349]]), decimal=5)
def test_str(self):
expected = '<Geodesic: radius=6378137.000, flattening=1/298.257>'
assert expected == str(self.geod)
def test_inverse_shape(self):
with pytest.raises(ValueError):
self.geod.inverse([[0, 1, 2], [0, 1, 2]], [2, 3])
lhr = [-0.5543, 51.4700]
jfk = [-73.7781, 40.6413]
tul = [144.8410, -37.6690]
lhr_to_jfk = 5548298
jfk_to_tul = 16695485
tul_to_lhr = 16909514
def test_geometry_length_ndarray():
geod = geodesic.Geodesic()
geom = np.array([lhr, jfk, lhr])
expected = pytest.approx(lhr_to_jfk * 2, abs=1)
assert geod.geometry_length(geom) == expected
def test_geometry_length_linestring():
geod = geodesic.Geodesic()
geom = sgeom.LineString(np.array([lhr, jfk, lhr]))
expected = pytest.approx(lhr_to_jfk * 2, abs=1)
assert geod.geometry_length(geom) == expected
def test_geometry_length_multilinestring():
geod = geodesic.Geodesic()
geom = sgeom.MultiLineString(
[sgeom.LineString(np.array([lhr, jfk])),
sgeom.LineString(np.array([tul, jfk]))])
expected = pytest.approx(lhr_to_jfk + jfk_to_tul, abs=1)
assert geod.geometry_length(geom) == expected
def test_geometry_length_linearring():
geod = geodesic.Geodesic()
geom = sgeom.LinearRing(np.array([lhr, jfk, tul]))
expected = pytest.approx(lhr_to_jfk + jfk_to_tul + tul_to_lhr, abs=1)
assert geod.geometry_length(geom) == expected
def test_geometry_length_polygon():
geod = geodesic.Geodesic()
geom = sgeom.Polygon(np.array([lhr, jfk, tul]))
expected = pytest.approx(lhr_to_jfk + jfk_to_tul + tul_to_lhr, abs=1)
assert geod.geometry_length(geom) == expected
def test_geometry_length_point():
geod = geodesic.Geodesic()
geom = sgeom.Point(lhr)
with pytest.raises(TypeError):
geod.geometry_length(geom)
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