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# (C) British Crown Copyright 2011 - 2018, 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)
from io import BytesIO
import pickle
import numpy as np
from numpy.testing import assert_almost_equal, assert_array_equal
from numpy.testing import assert_array_almost_equal as assert_arr_almost_eq
try:
import pyepsg
except ImportError:
pyepsg = None
import pytest
import shapely.geometry as sgeom
import cartopy.crs as ccrs
class TestCRS(object):
def test_hash(self):
stereo = ccrs.Stereographic(90)
north = ccrs.NorthPolarStereo()
assert stereo == north
assert not stereo != north
assert hash(stereo) == hash(north)
assert ccrs.Geodetic() == ccrs.Geodetic()
def test_osni(self):
osni = ccrs.OSNI()
ll = ccrs.Geodetic()
# results obtained by nearby.org.uk.
lat, lon = np.array([54.5622169298669, -5.54159863617957],
dtype=np.double)
east, north = np.array([359000, 371000], dtype=np.double)
assert_arr_almost_eq(osni.transform_point(lon, lat, ll),
np.array([east, north]),
-1)
assert_arr_almost_eq(ll.transform_point(east, north, osni),
np.array([lon, lat]),
3)
def _check_osgb(self, osgb):
ll = ccrs.Geodetic()
# results obtained by streetmap.co.uk.
lat, lon = np.array([50.462023, -3.478831], dtype=np.double)
east, north = np.array([295131, 63511], dtype=np.double)
# note the handling of precision here...
assert_arr_almost_eq(np.array(osgb.transform_point(lon, lat, ll)),
np.array([east, north]),
1)
assert_arr_almost_eq(ll.transform_point(east, north, osgb),
[lon, lat],
2)
r_lon, r_lat = ll.transform_point(east, north, osgb)
r_inverted = np.array(osgb.transform_point(r_lon, r_lat, ll))
assert_arr_almost_eq(r_inverted, [east, north], 3)
r_east, r_north = osgb.transform_point(lon, lat, ll)
r_inverted = np.array(ll.transform_point(r_east, r_north, osgb))
assert_arr_almost_eq(r_inverted, [lon, lat])
def test_osgb(self):
self._check_osgb(ccrs.OSGB())
@pytest.mark.network
@pytest.mark.skipif(pyepsg is None, reason='requires pyepsg')
def test_epsg(self):
uk = ccrs.epsg(27700)
assert uk.epsg_code == 27700
assert_almost_equal(
uk.x_limits, (-118365.7408171, 751581.564796))
assert_almost_equal(
uk.y_limits, (-5268.1797977, 1272227.798124))
assert_almost_equal(uk.threshold, 8699.47, decimal=2)
self._check_osgb(uk)
def test_europp(self):
europp = ccrs.EuroPP()
proj4_init = europp.proj4_init
# Transverse Mercator, UTM zone 32,
assert '+proj=utm' in proj4_init
assert '+zone=32' in proj4_init
# International 1924 ellipsoid.
assert '+ellps=intl' in proj4_init
def test_transform_points_nD(self):
rlons = np.array([[350., 352., 354.], [350., 352., 354.]])
rlats = np.array([[-5., -0., 1.], [-4., -1., 0.]])
src_proj = ccrs.RotatedGeodetic(pole_longitude=178.0,
pole_latitude=38.0)
target_proj = ccrs.Geodetic()
res = target_proj.transform_points(x=rlons, y=rlats,
src_crs=src_proj)
unrotated_lon = res[..., 0]
unrotated_lat = res[..., 1]
# Solutions derived by proj direct.
solx = np.array([[-16.42176094, -14.85892262, -11.90627520],
[-16.71055023, -14.58434624, -11.68799988]])
soly = np.array([[46.00724251, 51.29188893, 52.59101488],
[46.98728486, 50.30706042, 51.60004528]])
assert_arr_almost_eq(unrotated_lon, solx)
assert_arr_almost_eq(unrotated_lat, soly)
def test_transform_points_1D(self):
rlons = np.array([350., 352., 354., 356.])
rlats = np.array([-5., -0., 5., 10.])
src_proj = ccrs.RotatedGeodetic(pole_longitude=178.0,
pole_latitude=38.0)
target_proj = ccrs.Geodetic()
res = target_proj.transform_points(x=rlons, y=rlats,
src_crs=src_proj)
unrotated_lon = res[..., 0]
unrotated_lat = res[..., 1]
# Solutions derived by proj direct.
solx = np.array([-16.42176094, -14.85892262,
-12.88946157, -10.35078336])
soly = np.array([46.00724251, 51.29188893,
56.55031485, 61.77015703])
assert_arr_almost_eq(unrotated_lon, solx)
assert_arr_almost_eq(unrotated_lat, soly)
def test_transform_points_xyz(self):
# Test geodetic transforms when using z value
rx = np.array([2574.32516e3])
ry = np.array([837.562e3])
rz = np.array([5761.325e3])
src_proj = ccrs.Geocentric()
target_proj = ccrs.Geodetic()
res = target_proj.transform_points(x=rx, y=ry, z=rz,
src_crs=src_proj)
glat = res[..., 0]
glon = res[..., 1]
galt = res[..., 2]
# Solution generated by pyproj
solx = np.array([18.0224043189])
soly = np.array([64.9796515089])
solz = np.array([5048.03893734])
assert_arr_almost_eq(glat, solx)
assert_arr_almost_eq(glon, soly)
assert_arr_almost_eq(galt, solz)
def test_globe(self):
# Ensure the globe affects output.
rugby_globe = ccrs.Globe(semimajor_axis=9000000,
semiminor_axis=9000000,
ellipse=None)
footy_globe = ccrs.Globe(semimajor_axis=1000000,
semiminor_axis=1000000,
ellipse=None)
rugby_moll = ccrs.Mollweide(globe=rugby_globe)
footy_moll = ccrs.Mollweide(globe=footy_globe)
rugby_pt = rugby_moll.transform_point(10, 10, ccrs.Geodetic())
footy_pt = footy_moll.transform_point(10, 10, ccrs.Geodetic())
assert_arr_almost_eq(rugby_pt, (1400915, 1741319), decimal=0)
assert_arr_almost_eq(footy_pt, (155657, 193479), decimal=0)
def test_project_point(self):
point = sgeom.Point([0, 45])
multi_point = sgeom.MultiPoint([point, sgeom.Point([180, 45])])
pc = ccrs.PlateCarree()
pc_rotated = ccrs.PlateCarree(central_longitude=180)
result = pc_rotated.project_geometry(point, pc)
assert_arr_almost_eq(result.xy, [[-180.], [45.]])
result = pc_rotated.project_geometry(multi_point, pc)
assert isinstance(result, sgeom.MultiPoint)
assert len(result) == 2
assert_arr_almost_eq(result[0].xy, [[-180.], [45.]])
assert_arr_almost_eq(result[1].xy, [[0], [45.]])
def test_utm(self):
utm30n = ccrs.UTM(30)
ll = ccrs.Geodetic()
lat, lon = np.array([51.5, -3.0], dtype=np.double)
east, north = np.array([500000, 5705429.2], dtype=np.double)
assert_arr_almost_eq(utm30n.transform_point(lon, lat, ll),
[east, north],
decimal=1)
assert_arr_almost_eq(ll.transform_point(east, north, utm30n),
[lon, lat],
decimal=1)
utm38s = ccrs.UTM(38, southern_hemisphere=True)
lat, lon = np.array([-18.92, 47.5], dtype=np.double)
east, north = np.array([763316.7, 7906160.8], dtype=np.double)
assert_arr_almost_eq(utm38s.transform_point(lon, lat, ll),
[east, north],
decimal=1)
assert_arr_almost_eq(ll.transform_point(east, north, utm38s),
[lon, lat],
decimal=1)
def test_pickle():
# check that we can pickle a simple CRS
fh = BytesIO()
pickle.dump(ccrs.PlateCarree(), fh)
fh.seek(0)
pc = pickle.load(fh)
assert pc == ccrs.PlateCarree()
def test_PlateCarree_shortcut():
central_lons = [[0, 0], [0, 180], [0, 10], [10, 0], [-180, 180], [
180, -180]]
target = [([[-180, -180], [-180, 180]], 0),
([[-180, 0], [0, 180]], 180),
([[-180, -170], [-170, 180]], 10),
([[-180, 170], [170, 180]], -10),
([[-180, 180], [180, 180]], 360),
([[-180, -180], [-180, 180]], -360),
]
assert len(target) == len(central_lons)
for expected, (s_lon0, t_lon0) in zip(target, central_lons):
expected_bboxes, expected_offset = expected
src = ccrs.PlateCarree(central_longitude=s_lon0)
target = ccrs.PlateCarree(central_longitude=t_lon0)
bbox, offset = src._bbox_and_offset(target)
assert offset == expected_offset
assert bbox == expected_bboxes
def test_transform_points_empty():
"""Test CRS.transform_points with empty array."""
crs = ccrs.Stereographic()
result = crs.transform_points(ccrs.PlateCarree(),
np.array([]), np.array([]))
assert_array_equal(result, np.array([], dtype=np.float64).reshape(0, 3))
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