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# (C) British Crown Copyright 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/>.
"""
Tests for the Equidistant Conic coordinate system.
"""
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 cartopy.crs as ccrs
from .helpers import check_proj_params
class TestEquidistantConic(object):
def test_default(self):
eqdc = ccrs.EquidistantConic()
other_args = {'ellps=WGS84', 'lon_0=0.0', 'lat_0=0.0', 'x_0=0.0',
'y_0=0.0', 'lat_1=20.0', 'lat_2=50.0'}
check_proj_params('eqdc', eqdc, other_args)
assert_almost_equal(np.array(eqdc.x_limits),
(-22784919.35600352, 22784919.35600352),
decimal=7)
assert_almost_equal(np.array(eqdc.y_limits),
(-10001965.729313632, 17558791.85156368),
decimal=7)
def test_eccentric_globe(self):
globe = ccrs.Globe(semimajor_axis=1000, semiminor_axis=500,
ellipse=None)
eqdc = ccrs.EquidistantConic(globe=globe)
other_args = {'a=1000', 'b=500', 'lon_0=0.0', 'lat_0=0.0', 'x_0=0.0',
'y_0=0.0', 'lat_1=20.0', 'lat_2=50.0'}
check_proj_params('eqdc', eqdc, other_args)
assert_almost_equal(np.array(eqdc.x_limits),
(-3016.869847713461, 3016.869847713461),
decimal=7)
assert_almost_equal(np.array(eqdc.y_limits),
(-1216.6029342241113, 2511.0574375797723),
decimal=7)
def test_eastings(self):
eqdc_offset = ccrs.EquidistantConic(false_easting=1234,
false_northing=-4321)
other_args = {'ellps=WGS84', 'lon_0=0.0', 'lat_0=0.0', 'x_0=1234',
'y_0=-4321', 'lat_1=20.0', 'lat_2=50.0'}
check_proj_params('eqdc', eqdc_offset, other_args)
@pytest.mark.parametrize('lon', [-10.0, 10.0])
def test_central_longitude(self, lon):
eqdc = ccrs.EquidistantConic()
eqdc_offset = ccrs.EquidistantConic(central_longitude=lon)
other_args = {'ellps=WGS84', 'lon_0={}'.format(lon), 'lat_0=0.0',
'x_0=0.0', 'y_0=0.0', 'lat_1=20.0', 'lat_2=50.0'}
check_proj_params('eqdc', eqdc_offset, other_args)
assert_array_almost_equal(eqdc_offset.boundary, eqdc.boundary,
decimal=0)
def test_standard_parallels(self):
eqdc = ccrs.EquidistantConic(standard_parallels=(13, 37))
other_args = {'ellps=WGS84', 'lon_0=0.0', 'lat_0=0.0', 'x_0=0.0',
'y_0=0.0', 'lat_1=13', 'lat_2=37'}
check_proj_params('eqdc', eqdc, other_args)
eqdc = ccrs.EquidistantConic(standard_parallels=(13, ))
other_args = {'ellps=WGS84', 'lon_0=0.0', 'lat_0=0.0', 'x_0=0.0',
'y_0=0.0', 'lat_1=13'}
check_proj_params('eqdc', eqdc, other_args)
eqdc = ccrs.EquidistantConic(standard_parallels=13)
other_args = {'ellps=WGS84', 'lon_0=0.0', 'lat_0=0.0', 'x_0=0.0',
'y_0=0.0', 'lat_1=13'}
check_proj_params('eqdc', eqdc, other_args)
def test_sphere_transform(self):
# USGS Professional Paper 1395, pg 298
globe = ccrs.Globe(semimajor_axis=1.0, semiminor_axis=1.0,
ellipse=None)
lat_1 = 29.5
lat_2 = 45.5
eqdc = ccrs.EquidistantConic(central_longitude=-96.0,
central_latitude=23.0,
standard_parallels=(lat_1, lat_2),
globe=globe)
geodetic = eqdc.as_geodetic()
other_args = {'a=1.0', 'b=1.0', 'lon_0=-96.0', 'lat_0=23.0', 'x_0=0.0',
'y_0=0.0', 'lat_1=29.5', 'lat_2=45.5'}
check_proj_params('eqdc', eqdc, other_args)
assert_almost_equal(np.array(eqdc.x_limits),
(-3.520038619089038, 3.520038619089038),
decimal=7)
assert_almost_equal(np.array(eqdc.y_limits),
(-1.9722220547535922, 2.7066811021065535),
decimal=7)
result = eqdc.transform_point(-75.0, 35.0, geodetic)
assert_almost_equal(result, (0.2952057, 0.2424021), decimal=7)
def test_ellipsoid_transform(self):
# USGS Professional Paper 1395, pp 299--300
globe = ccrs.Globe(semimajor_axis=6378206.4,
flattening=1 - np.sqrt(1 - 0.00676866),
ellipse=None)
lat_1 = 29.5
lat_2 = 45.5
eqdc = ccrs.EquidistantConic(central_latitude=23.0,
central_longitude=-96.0,
standard_parallels=(lat_1, lat_2),
globe=globe)
geodetic = eqdc.as_geodetic()
other_args = {'a=6378206.4', 'f=0.003390076308689371', 'lon_0=-96.0',
'lat_0=23.0', 'x_0=0.0', 'y_0=0.0', 'lat_1=29.5',
'lat_2=45.5'}
check_proj_params('eqdc', eqdc, other_args)
assert_almost_equal(np.array(eqdc.x_limits),
(-22421870.719894886, 22421870.719894886),
decimal=7)
assert_almost_equal(np.array(eqdc.y_limits),
(-12546277.778958388, 17260638.403203618),
decimal=7)
result = eqdc.transform_point(-75.0, 35.0, geodetic)
assert_almost_equal(result, (1885051.9, 1540507.6), decimal=1)
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