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# (C) British Crown Copyright 2015 - 2020, Met Office
#
# This file is part of cartopy.
#
# cartopy is free software: you can redistribute it and/or modify it under
# the terms of the GNU Lesser General Public License as published by the
# Free Software Foundation, either version 3 of the License, or
# (at your option) any later version.
#
# cartopy is distributed in the hope that it will be useful,
# but WITHOUT ANY WARRANTY; without even the implied warranty of
# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
# GNU Lesser General Public License for more details.
#
# You should have received a copy of the GNU Lesser General Public License
# along with cartopy. If not, see <https://www.gnu.org/licenses/>.
from __future__ import (absolute_import, division, print_function)
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(object):
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.array([self.data.start_lon, self.data.start_lat]).T
self.end_pts = np.array([self.data.end_lon, self.data.end_lat]).T
self.dir_soln = np.array([self.data.end_lon, self.data.end_lat,
self.data.end_azi]).T
self.inv_soln = np.array([self.data.dist, self.data.start_azi,
self.data.end_azi]).T
def test_dir(self):
geod_dir = self.geod.direct(self.start_pts, self.data.start_azi,
self.data.dist)
assert_array_almost_equal(geod_dir, self.dir_soln, decimal=5)
def test_dir_broadcast(self):
repeat_dists = np.repeat(np.array([self.data.dist[0]]), 10, axis=0)
repeat_start_pts = np.repeat(np.array([self.start_pts[0]]), 10, axis=0)
repeat_results = np.repeat(np.array([self.dir_soln[0]]), 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.inv_soln, decimal=5)
def test_inverse_broadcast(self):
repeat_start_pts = np.repeat(np.array([self.start_pts[0]]), 10, axis=0)
repeat_end_pts = np.repeat(np.array([self.end_pts[0]]), 10, axis=0)
repeat_results = np.repeat(np.array([self.inv_soln[0]]), 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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