def testBearingNorth(self):
"""Bearing due north (0 deg) correct within double precision
"""
eps = 1.0e-12
p1 = Point(0.0, 0.0)
p2 = Point(1.0, 0.0)
b = p1.bearing_to(p2)
msg = 'Computed northward bearing: %d, Should have been: %d' % (b, 0)
assert numpy.allclose(b, 0, rtol=eps, atol=eps), msg
def testBearingWest(self):
"""Bearing due west (270 deg) is correct within double precision
"""
eps = 1.0e-12
B = 270 # True bearing
p1 = Point(0.0, 0.0)
p3 = Point(0.0, 1.0)
b = p3.bearing_to(p1)
msg = 'Computed southward bearing %d. Expected %d' % (b, B)
assert numpy.allclose(b, B, rtol=eps, atol=eps), msg
def testEarthquake2Muncar(self):
"""Distance and bearing of real example (quake -> Muncar) are correct
"""
# Test data from http://www.movable-type.co.uk/scripts/latlong.html
D = 151318 # True Distance [m]
B = 26 # 26 19 42 / 26 13 57 # Bearing to between points (start, end)
p1 = Point(latitude=-9.65, longitude=113.72)
d = p1.distance_to(self.Muncar)
msg = 'Dist to Muncar failed %f. Expected %f' % (d, D)
assert numpy.allclose(d, D), msg
b = p1.bearing_to(self.Muncar)
msg = 'Bearing to Muncar %i. Expected %i' % (b, B)
assert b == B, msg
class TestCase(unittest.TestCase):
def setUp(self):
self.eps = 0.001 # Accept 0.1 % relative error
self.RSISE = Point(-35.27456, 149.12065)
self.Home = Point(-35.25629, 149.12494) # 28 Scrivener Street, ACT
self.Syd = Point(-33.93479, 151.16794) # Sydney Airport
self.Nadi = Point(-17.75330, 177.45148) # Nadi Airport
self.Kobenhavn = Point(55.70248, 12.58364) # Kobenhavn, Denmark
self.Muncar = Point(-8.43, 114.33) # Muncar, Indonesia
def testBearingNorth(self):
"""Bearing due north (0 deg) correct within double precision
"""
eps = 1.0e-12
p1 = Point(0.0, 0.0)
p2 = Point(1.0, 0.0)
b = p1.bearing_to(p2)
msg = 'Computed northward bearing: %d, Should have been: %d' % (b, 0)
assert numpy.allclose(b, 0, rtol=eps, atol=eps), msg
def testBearingSouth(self):
"""Bearing due south (180 deg) is correct within double precision
"""
eps = 1.0e-12
B = 180 # True bearing
p1 = Point(0.0, 0.0)
p2 = Point(1.0, 0.0)
b = p2.bearing_to(p1)
msg = 'Computed southward bearing %d. Expected %d' % (b, B)
assert numpy.allclose(b, B, rtol=eps, atol=eps), msg
def testBearingEast(self):
"""Bearing due west (270 deg) is correct within double precision
"""
eps = 1.0e-12
B = 90 # True bearing
p1 = Point(0.0, 0.0)
p3 = Point(0.0, 1.0)
b = p1.bearing_to(p3)
msg = 'Computed southward bearing %d. Expected %d' % (b, B)
assert numpy.allclose(b, B, rtol=eps, atol=eps), msg
def testBearingWest(self):
"""Bearing due west (270 deg) is correct within double precision
"""
eps = 1.0e-12
B = 270 # True bearing
p1 = Point(0.0, 0.0)
p3 = Point(0.0, 1.0)
b = p3.bearing_to(p1)
msg = 'Computed southward bearing %d. Expected %d' % (b, B)
assert numpy.allclose(b, B, rtol=eps, atol=eps), msg
def testRSISE2Home(self):
"""Distance and bearing of real example (RSISE -> Home) are correct
"""
D = 2068.855 # True Distance to Home
B = 11 # True Bearing to Home
d = self.RSISE.distance_to(self.Home)
msg = 'Dist from RSISE to Home %f. Expected %f' % (d, D)
assert numpy.allclose(d, D, rtol=1.0e-6), msg
b = self.RSISE.bearing_to(self.Home)
msg = 'Bearing from RSISE to Home %i. Expected %i' % (b, B)
assert b == B, msg
def testRSISE2Sydney(self):
"""Distance and bearing of real example (RSISE -> Syd) are correct
"""
D = 239407.67 # True Distance to Sydney Airport
B = 52 # True Bearing to Sydney Airport
d = self.RSISE.distance_to(self.Syd)
msg = 'Dist from RSISE to Sydney airport %f. Expected %f' % (d, D)
assert numpy.allclose(d, D, rtol=1.0e-6), msg
b = self.RSISE.bearing_to(self.Syd)
msg = 'Bearing from RSISE to Sydney airport %i. Expected %i' % (b, B)
assert b == B, msg
def testRSISE2Nadi(self):
"""Distance and bearing of real example (RSISE -> Nadi) are correct
"""
D = 3406100 # True Distance to Nadi Airport
B = 63 # True Bearing to Nadi Airport
d = self.RSISE.distance_to(self.Nadi)
msg = 'Dist from RSISE to Nadi airport %f. Expected %f' % (d, D)
assert numpy.allclose(d, D, rtol=1.0e-4), msg
b = self.RSISE.bearing_to(self.Nadi)
msg = 'Bearing from RSISE to Nadi airport %i. Expected %i' % (b, B)
assert b == B, msg
def testRSISE2Kobenhavn(self):
"""Distance and bearing of real example (RSISE -> Kbh) are correct
"""
D = 16025 * 1000 # True Distance to Kobenhavn
B = 319 # True Bearing to Kobenhavn
d = self.RSISE.distance_to(self.Kobenhavn)
msg = 'Dist from RSISE to Kobenhavn %f. Expected %f' % (d, D)
assert numpy.allclose(d, D, rtol=1.0e-3), msg
b = self.RSISE.bearing_to(self.Kobenhavn)
msg = 'Bearing from RSISE to Nadi airport %i. Expected %i' % (b, B)
assert b == B, msg
def testEarthquake2Muncar(self):
"""Distance and bearing of real example (quake -> Muncar) are correct
"""
# Test data from http://www.movable-type.co.uk/scripts/latlong.html
D = 151318 # True Distance [m]
B = 26 # 26 19 42 / 26 13 57 # Bearing to between points (start, end)
p1 = Point(latitude=-9.65, longitude=113.72)
d = p1.distance_to(self.Muncar)
msg = 'Dist to Muncar failed %f. Expected %f' % (d, D)
assert numpy.allclose(d, D), msg
b = p1.bearing_to(self.Muncar)
msg = 'Bearing to Muncar %i. Expected %i' % (b, B)
assert b == B, msg
def test_equator_example(self):
"""Distance and bearing of real example (near equator) are correct
"""
# Test data from http://www.movable-type.co.uk/scripts/latlong.html
D = 11448.0959593 # True Distance [m]
p1 = Point(latitude=-0.59, longitude=117.10)
p2 = Point(latitude=-0.50, longitude=117.15)
d = p1.distance_to(p2)
msg = 'Dist to point failed %f. Expected %f' % (d, D)
assert numpy.allclose(d, D, rtol=1.0e-3), msg
def test_generate_circle(self):
"""A circle with a given radius can be generated correctly
"""
# Generate a circle around Sydney airport with radius 3km
radius = 3000
C = self.Syd.generate_circle(radius)
# Check distance around the circle
# Note that not every point will be exactly 3000m
# because the circle in defined in geographic coordinates
for c in C:
p = Point(c[1], c[0])
d = self.Syd.distance_to(p)
msg = ('Radius %f not with in expected tolerance. Expected %d'
% (d, radius))
assert numpy.allclose(d, radius, rtol=2.0e-1), msg