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test_util_geodetics.py
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test_util_geodetics.py
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# -*- coding: utf-8 -*-
import math
import warnings
import numpy as np
from obspy.geodetics import (calc_vincenty_inverse, degrees2kilometers,
gps2dist_azimuth, inside_geobounds,
kilometer2degrees, locations2degrees)
from obspy.geodetics.base import HAS_GEOGRAPHICLIB
from obspy.core import AttribDict
import pytest
def dms2dec(degs, mins, secs):
"""Converts angle given in degrees, mins and secs to decimal degrees"""
return (degs + mins / 60.0 + secs / 3600.0)
class TestUtilGeodetics:
"""
Test suite for obspy.core.util.geodetics
"""
def test_calc_vincenty_inverse(self):
"""
Tests for the Vincenty's Inverse formulae.
"""
# the following will raise StopIteration exceptions because of two
# nearly antipodal points
with pytest.raises(StopIteration):
calc_vincenty_inverse(
15.26804251, 2.93007342, -14.80522806, -177.2299081,
)
with pytest.raises(StopIteration):
calc_vincenty_inverse(
27.3562106, 72.2382356, -27.55995499, -107.78571981,
)
with pytest.raises(StopIteration):
calc_vincenty_inverse(
27.4675551, 17.28133229, -27.65771704, -162.65420626,
)
with pytest.raises(StopIteration):
calc_vincenty_inverse(
27.4675551, 17.28133229, -27.65771704, -162.65420626,
)
# working examples
res = calc_vincenty_inverse(0, 0.2, 0, 20)
assert round(abs(res[0]-2204125.9174282863), 7) == 0
assert round(abs(res[1]-90.0), 7) == 0
assert round(abs(res[2]-270.0), 7) == 0
res = calc_vincenty_inverse(0, 0, 0, 10)
assert round(abs(res[0]-1113194.9077920639), 7) == 0
assert round(abs(res[1]-90.0), 7) == 0
assert round(abs(res[2]-270.0), 7) == 0
res = calc_vincenty_inverse(0, 0, 0, 13)
assert round(abs(res[0]-1447153.3801296828), 7) == 0
assert round(abs(res[1]-90.0), 7) == 0
assert round(abs(res[2]-270.0), 7) == 0
res = calc_vincenty_inverse(0, 0, 0, 17)
assert round(abs(res[0]-1892431.3432465086), 7) == 0
assert round(abs(res[1]-90.0), 7) == 0
assert round(abs(res[2]-270.0), 7) == 0
# out of bounds
with pytest.raises(ValueError):
calc_vincenty_inverse(91, 0, 0, 0)
with pytest.raises(ValueError):
calc_vincenty_inverse(-91, 0, 0, 0)
with pytest.raises(ValueError):
calc_vincenty_inverse(0, 0, 91, 0)
with pytest.raises(ValueError):
calc_vincenty_inverse(0, 0, -91, 0)
@pytest.mark.skipif(
not HAS_GEOGRAPHICLIB, reason='Module geographiclib is not installed'
)
def test_gps_2_dist_azimuth_with_geographiclib(self):
"""
Testing gps2dist_azimuth function using the module geographiclib.
"""
# nearly antipodal points
result = gps2dist_azimuth(15.26804251, 2.93007342, -14.80522806,
-177.2299081)
assert round(abs(result[0]-19951425.048688546), 7) == 0
assert round(abs(result[1]-8.65553241932755), 7) == 0
assert round(abs(result[2]-351.36325485132306), 7) == 0
# out of bounds
with pytest.raises(ValueError):
gps2dist_azimuth(91, 0, 0, 0)
with pytest.raises(ValueError):
gps2dist_azimuth(-91, 0, 0, 0)
with pytest.raises(ValueError):
gps2dist_azimuth(0, 0, 91, 0)
with pytest.raises(ValueError):
gps2dist_azimuth(0, 0, -91, 0)
def test_calc_vincenty_inverse_2(self):
"""
Test calc_vincenty_inverse() method with test data from Geocentric
Datum of Australia. (see http://www.icsm.gov.au/gda/gdatm/gdav2.3.pdf)
"""
# test data:
# Point 1: Flinders Peak, Point 2: Buninyong
lat1 = -(37 + (57 / 60.) + (3.72030 / 3600.))
lon1 = 144 + (25 / 60.) + (29.52440 / 3600.)
lat2 = -(37 + (39 / 60.) + (10.15610 / 3600.))
lon2 = 143 + (55 / 60.) + (35.38390 / 3600.)
dist = 54972.271
alpha12 = 306 + (52 / 60.) + (5.37 / 3600.)
alpha21 = 127 + (10 / 60.) + (25.07 / 3600.)
# calculate result
calc_dist, calc_alpha12, calc_alpha21 = calc_vincenty_inverse(
lat1, lon1, lat2, lon2)
# calculate deviations from test data
dist_err_rel = abs(dist - calc_dist) / dist
alpha12_err = abs(alpha12 - calc_alpha12)
alpha21_err = abs(alpha21 - calc_alpha21)
assert dist_err_rel < 1.0e-5
assert alpha12_err < 1.0e-5
assert alpha21_err < 1.0e-5
# calculate result with +- 360 for lon values
dist, alpha12, alpha21 = calc_vincenty_inverse(
lat1, lon1 + 360, lat2, lon2 - 720)
assert round(abs(dist-calc_dist), 7) == 0
assert round(abs(alpha12-calc_alpha12), 7) == 0
assert round(abs(alpha21-calc_alpha21), 7) == 0
def test_calc_vincenty_inverse_tabulated(self):
""" Tabulated results for Vincenty Inverse
Table II of Vincenty's paper (T. Vincenty 1975, "Direct and inverse
solutions of geodesics on the ellipsoid with application of nested
equations" Survey Review XXII pp.88-93) has five test examples for
the forward and inverse problem (with results rounded to 0.00001
seconds of arc and 1 mm). The inverse versions of these are implemented
here. Note the non-standard (old) ellipsoid usage. Here we test that
we match these examples for the inverse problem. """
# Row "A"
# NB: for this case there seems to be a typo in
# the tabulated data. Tabulated data is commented
# out and values from geographiclib are used in their place
# dist = 14110526.170
dist = 14039003.954192352
# azi1 = dms2dec(96.0, 36.0, 8.79960)
azi1 = 95.88145755849257
# azi2 = dms2dec(137.0, 52.0, 22.01454)
azi2 = 138.30481836546775
bazi = azi2 + 180.0
lat1 = dms2dec(55.0, 45.0, 0.0)
lat2 = dms2dec(-33.0, 26.0, 0.0)
lon2 = dms2dec(108.0, 13.0, 0.0)
a = 6377397.155
f = 1.0 / 299.1528128
calc_dist, calc_azi1, calc_bazi = calc_vincenty_inverse(
lat1, 0.0, lat2, lon2, a, f)
assert round(abs(dist-calc_dist), 2) == 0
assert round(abs(azi1-calc_azi1), 5) == 0
assert round(abs(bazi-calc_bazi), 5) == 0
# Row "B"
dist = 4085966.703
azi1 = dms2dec(95.0, 27.0, 59.63089)
azi2 = dms2dec(118, 5.0, 58.96161)
bazi = azi2 + 180.0
lat1 = dms2dec(37.0, 19.0, 54.95367)
lat2 = dms2dec(26.0, 7.0, 42.83946)
lon2 = dms2dec(41.0, 28.0, 35.50729)
a = 6378388.000
f = 1.0 / 297.0
calc_dist, calc_azi1, calc_bazi = calc_vincenty_inverse(
lat1, 0.0, lat2, lon2, a, f)
assert round(abs(dist-calc_dist), 2) == 0
assert round(abs(azi1-calc_azi1), 5) == 0
assert round(abs(bazi-calc_bazi), 5) == 0
# Row "C"
dist = 8084823.839
azi1 = dms2dec(15.0, 44.0, 23.74850)
azi2 = dms2dec(144.0, 55.0, 39.92147)
bazi = azi2 + 180.0
lat1 = dms2dec(35.0, 16.0, 11.24862)
lat2 = dms2dec(67.0, 22.0, 14.77638)
lon2 = dms2dec(137.0, 47.0, 28.31435)
a = 6378388.000
f = 1.0 / 297.0
calc_dist, calc_azi1, calc_bazi = calc_vincenty_inverse(
lat1, 0.0, lat2, lon2, a, f)
assert round(abs(dist-calc_dist), 2) == 0
assert round(abs(azi1-calc_azi1), 5) == 0
assert round(abs(bazi-calc_bazi), 5) == 0
@pytest.mark.skipif(
HAS_GEOGRAPHICLIB,
reason='Geographiclib installed, not using calc_vincenty_inverse'
)
def test_gps_2_dist_azimuth_bug150(self):
"""
Test case for #150: UserWarning will be only raised if geographiclib is
not installed.
"""
# this raises UserWarning
with warnings.catch_warnings(record=True):
warnings.simplefilter('error', UserWarning)
with pytest.raises(UserWarning):
gps2dist_azimuth(0, 0, 0, 180)
def test_kilometer2degrees(self):
"""
Simple test of the convenience function.
"""
# Test if it works.
assert kilometer2degrees(111.19492664455873, radius=6371) == 1.0
# Test if setting the radius actually does something. Round to avoid
# some precision problems on different machines.
assert round(kilometer2degrees(111.19492664455873,
radius=6381), 5) == round(0.99843284751606332, 5)
def test_degrees2kilometers(self):
"""
"""
# Test if it works.
assert degrees2kilometers(1.0, radius=6371) == 111.19492664455873
# Test if setting the radius actually does something. Round to avoid
# some precision problems on different machines.
assert round(degrees2kilometers(1.0, radius=6381), 5) == \
round(111.36945956975816, 5)
def test_locations2degrees(self):
"""
Test the location 2 degree conversion.
"""
# Inline method to avoid messy code.
def assert_loc(lat1, long1, lat2, long2, approx_distance):
assert abs(math.radians(locations2degrees(
lat1, long1, lat2, long2)) * 6371 - approx_distance) <= 20
# Approximate values from the Great Circle Calculator:
# http://williams.best.vwh.net/gccalc.htm
# Random location.
assert_loc(36.12, -86.67, 33.94, -118.40, 2893)
# Test several combinations of quadrants.
assert_loc(11.11, 22.22, 33.33, 44.44, 3346)
assert_loc(-11.11, -22.22, -33.33, -44.44, 3346)
assert_loc(11.11, 22.22, -33.33, -44.44, 8596)
assert_loc(-11.11, -22.22, 33.33, 44.44, 8596)
assert_loc(11.11, -22.22, 33.33, -44.44, 3346)
assert_loc(-11.11, 22.22, 33.33, 44.44, 5454)
assert_loc(11.11, -22.22, 33.33, 44.44, 7177)
assert_loc(11.11, 22.22, -33.33, 44.44, 5454)
assert_loc(11.11, 22.22, 33.33, -44.44, 7177)
# Test some extreme values.
assert_loc(90, 0, 0, 0, 10018)
assert_loc(180, 0, 0, 0, 20004)
assert_loc(0, 90, 0, 0, 10018)
assert_loc(0, 180, 0, 0, 20004)
assert_loc(0, 0, 90, 0, 10018)
assert_loc(0, 0, 180, 0, 20004)
assert_loc(0, 0, 0, 90, 10018)
assert_loc(0, 0, 0, 180, 20004)
assert_loc(11, 55, 11, 55, 0)
# test numpy inputs:
# Inline method to avoid messy code.
def assert_loc_np(lat1, long1, lat2, long2,
approx_distance, expected_output_len):
loc2deg = locations2degrees(np.array(lat1),
np.array(long1),
np.array(lat2),
np.array(long2))
assert (np.abs(np.radians(loc2deg) * 6371 -
approx_distance) <= 20).all()
assert np.isscalar(loc2deg) \
if expected_output_len == 0 else \
len(loc2deg) == expected_output_len
# Test just with random location (combining scalars and arrays).
assert_loc_np(36.12, -86.67, 33.94, -118.40, 2893, 0)
assert_loc_np([36.12, 36.12], -86.67, 33.94, -118.40,
2893, 2)
assert_loc_np(36.12, [-86.67, -86.67], 33.94, -118.40,
2893, 2)
assert_loc_np(36.12, -86.67, [33.94, 33.94], -118.40,
2893, 2)
assert_loc_np(36.12, -86.67, 33.94, [-118.40, -118.40],
2893, 2)
assert_loc_np([36.12, 36.12], [-86.67, -86.67], 33.94, -118.40,
2893, 2)
assert_loc_np([36.12, 36.12], -86.67, [33.94, 33.94], -118.40,
2893, 2)
assert_loc_np([36.12, 36.12], -86.67, 33.94, [-118.40, -118.40],
2893, 2)
assert_loc_np([36.12, 36.12], [-86.67, -86.67], [33.94, 33.94],
-118.40, 2893, 2)
assert_loc_np([36.12, 36.12], -86.67, [33.94, 33.94],
[-118.40, -118.40], 2893, 2)
assert_loc_np(36.12, [-86.67, -86.67], [33.94, 33.94],
[-118.40, -118.40], 2893, 2)
assert_loc_np([36.12, 36.12], [-86.67, -86.67], [33.94, 33.94],
[-118.40, -118.40], 2893, 2)
# test numpy broadcasting (bad shapes)
with pytest.raises(ValueError):
locations2degrees(1, 2, [3, 4], [5, 6, 7])
@pytest.mark.skipif(
not HAS_GEOGRAPHICLIB,
reason='Module geographiclib is not installed',
)
def test_issue_375(self):
"""
Test for #375.
"""
_, azim, bazim = gps2dist_azimuth(50, 10, 50 + 1, 10 + 1)
assert round(azim, 0) == 32
assert round(bazim, 0) == 213
_, azim, bazim = gps2dist_azimuth(50, 10, 50 + 1, 10 - 1)
assert round(azim, 0) == 328
assert round(bazim, 0) == 147
_, azim, bazim = gps2dist_azimuth(50, 10, 50 - 1, 10 + 1)
assert round(azim, 0) == 147
assert round(bazim, 0) == 327
_, azim, bazim = gps2dist_azimuth(50, 10, 50 - 1, 10 - 1)
assert round(azim, 0) == 213
assert round(bazim, 0) == 33
def test_inside_geobounds(self):
obj = AttribDict()
obj.latitude = 48.8566
obj.longitude = 2.3522
ret = inside_geobounds(obj, minlatitude=48, maxlatitude=49,
minlongitude=2, maxlongitude=3)
assert ret
ret = inside_geobounds(obj, latitude=48, longitude=2,
minradius=1, maxradius=2)
assert not ret
# Test for wrapping around longitude +/- 180°
obj.latitude = -41.2865
obj.longitude = 174.7762
ret = inside_geobounds(obj, minlongitude=170, maxlongitude=-170)
assert ret
obj.longitude = -175.
ret = inside_geobounds(obj, minlongitude=170, maxlongitude=-170)
assert ret
ret = inside_geobounds(obj, minlongitude=170, maxlongitude=190)
assert ret