class VectorComputationTestCase(unittest.TestCase):
MODEL_NAME = 'egm96'
LAT = np.asarray([
[+dms_to_dec(16, 46, 33), -dms_to_dec(16, 46, 43)],
[-dms_to_dec(16, 56, 33), +dms_to_dec(16, 56, 43)],
])
LON = np.asarray([
[-dms_to_dec(3, 0, 34), +dms_to_dec(3, 0, 44)],
[+dms_to_dec(3, 10, 34), -dms_to_dec(3, 10, 44)],
])
HEIGHT = np.asarray([
[+300, +400000],
[+400000, +300],
])
X = np.asarray([
[6100258., 6482309.],
[6475723., 6093852.],
])
Y = np.asarray([
[-320709., +341110.],
[+359341., -338447.],
])
Z = np.asarray([
[+1829182., -1944859.],
[-1963312., +1847129.],
])
GX = np.asarray([
[-0.0000185562383, +0.0000171252863],
[+0.0000179414111, +0.0000255265776],
])
GY = np.asarray([
[-0.0000022160340, +0.0016776569530],
[+0.0016913972644, -0.0000471425191],
])
GZ = np.asarray([
[-9.7839489045745, -8.6568801936947],
[-8.6569658422907, -9.7840427535630],
])
MGAL = 1.e-5 # [m/s**2]
DELTAX = np.asarray([
[-1.8556238327792, +1.7125286304307],
[+1.7941411100352, +2.5526577571442],
]) * MGAL
DELTAY = np.asarray([
[-0.0864975107851, -4.2925736778895],
[-4.3994466419252, -4.5779437005530],
]) * MGAL
DELTAZ = np.asarray([
[-24.6995051809167, -3.77044400298770],
[-3.89353944957160, -25.6012585484130],
]) * MGAL
GHEIGHT = np.asarray([
[+28.707423353273, +14.886288004977],
[+15.032497786636, +28.660865719440],
])
ARCSEC = 1. / 3600.
DG01 = np.asarray([
[+15.7255802520963, -0.28121454847100],
[-0.19222301397180, +16.6326172077381],
]) * MGAL
XI = np.asarray([
[+0.0278739163708, +1.0212161827314],
[+1.0466052916775, +0.9752134528843],
]) * ARCSEC
ETA = np.asarray([
[+0.3912117252501, -0.4080406679571],
[-0.4274821365431, -0.5381591725495],
]) * ARCSEC
def setUp(self) -> None:
self.model = GravityModel(self.MODEL_NAME)
def test_gravity_vector(self):
w, gx, gy, gz = self.model.gravity(self.LAT.flatten(),
self.LON.flatten(),
self.HEIGHT.flatten())
npt.assert_allclose(gx, self.GX.flatten())
npt.assert_allclose(gy, self.GY.flatten())
npt.assert_allclose(gz, self.GZ.flatten())
def test_gravity_matrix(self):
w, gx, gy, gz = self.model.gravity(self.LAT, self.LON, self.HEIGHT)
npt.assert_allclose(gx, self.GX)
npt.assert_allclose(gy, self.GY)
npt.assert_allclose(gz, self.GZ)
def test_disturbance_vector(self):
t, deltax, deltay, deltaz = self.model.disturbance(
self.LAT.flatten(), self.LON.flatten(), self.HEIGHT.flatten())
npt.assert_allclose(deltax, self.DELTAX.flatten())
npt.assert_allclose(deltay, self.DELTAY.flatten())
npt.assert_allclose(deltaz, self.DELTAZ.flatten())
def test_disturbance_matrix(self):
t, deltax, deltay, deltaz = self.model.disturbance(
self.LAT, self.LON, self.HEIGHT)
npt.assert_allclose(deltax, self.DELTAX)
npt.assert_allclose(deltay, self.DELTAY)
npt.assert_allclose(deltaz, self.DELTAZ)
def test_geoid_heigt_vector(self):
gheight = self.model.geoid_height(self.LAT.flatten(),
self.LON.flatten())
npt.assert_allclose(gheight, self.GHEIGHT.flatten())
def test_geoid_heigt_matrix(self):
gheight = self.model.geoid_height(self.LAT, self.LON)
npt.assert_allclose(gheight, self.GHEIGHT)
def test_spherical_anomaly_vector(self):
dg01, xi, eta = self.model.spherical_anomaly(self.LAT.flatten(),
self.LON.flatten(),
self.HEIGHT.flatten())
npt.assert_allclose(dg01, self.DG01.flatten())
npt.assert_allclose(xi, self.XI.flatten())
npt.assert_allclose(eta, self.ETA.flatten())
def test_spherical_anomaly_matrix(self):
dg01, xi, eta = self.model.spherical_anomaly(self.LAT, self.LON,
self.HEIGHT)
npt.assert_allclose(dg01, self.DG01)
npt.assert_allclose(xi, self.XI)
npt.assert_allclose(eta, self.ETA)
def test_w_vector(self):
w, gx, gy, gz = self.model.w(self.X.flatten(), self.Y.flatten(),
self.Z.flatten())
shape = self.X.flatten().shape
self.assertEqual(w.shape, shape)
self.assertEqual(gx.shape, shape)
self.assertEqual(gy.shape, shape)
self.assertEqual(gz.shape, shape)
def test_w_matrix(self):
w, gx, gy, gz = self.model.w(self.X, self.Y, self.Z)
shape = self.X.shape
self.assertEqual(w.shape, shape)
self.assertEqual(gx.shape, shape)
self.assertEqual(gy.shape, shape)
self.assertEqual(gz.shape, shape)
def test_v_vector(self):
v, gx, gy, gz = self.model.v(self.X.flatten(), self.Y.flatten(),
self.Z.flatten())
shape = self.X.flatten().shape
self.assertEqual(v.shape, shape)
self.assertEqual(gx.shape, shape)
self.assertEqual(gy.shape, shape)
self.assertEqual(gz.shape, shape)
def test_v_matrix(self):
v, gx, gy, gz = self.model.v(self.X, self.Y, self.Z)
shape = self.X.shape
self.assertEqual(v.shape, shape)
self.assertEqual(gx.shape, shape)
self.assertEqual(gy.shape, shape)
self.assertEqual(gz.shape, shape)
def test_t_components_vector(self):
t, gx, gy, gz = self.model.t_components(self.X.flatten(),
self.Y.flatten(),
self.Z.flatten())
shape = self.X.flatten().shape
self.assertEqual(t.shape, shape)
self.assertEqual(gx.shape, shape)
self.assertEqual(gy.shape, shape)
self.assertEqual(gz.shape, shape)
def test_t_components_matrix(self):
t, gx, gy, gz = self.model.t_components(self.X, self.Y, self.Z)
shape = self.X.shape
self.assertEqual(t.shape, shape)
self.assertEqual(gx.shape, shape)
self.assertEqual(gy.shape, shape)
self.assertEqual(gz.shape, shape)
def test_t_vector(self):
t = self.model.t(self.X.flatten(), self.Y.flatten(), self.Z.flatten())
shape = self.X.flatten().shape
self.assertEqual(t.shape, shape)
def test_t_matrix(self):
t = self.model.t(self.X, self.Y, self.Z)
shape = self.X.shape
self.assertEqual(t.shape, shape)
def test_u_vector(self):
u, gammax, gammay, gammaz = self.model.u(self.X.flatten(),
self.Y.flatten(),
self.Z.flatten())
shape = self.X.flatten().shape
self.assertEqual(u.shape, shape)
self.assertEqual(gammax.shape, shape)
self.assertEqual(gammay.shape, shape)
self.assertEqual(gammaz.shape, shape)
def test_u_matrix(self):
u, gammax, gammay, gammaz = self.model.u(self.X, self.Y, self.Z)
shape = self.X.shape
self.assertEqual(u.shape, shape)
self.assertEqual(gammax.shape, shape)
self.assertEqual(gammay.shape, shape)
self.assertEqual(gammaz.shape, shape)
def test_phi_vector(self):
phi, fx, fy = self.model.phi(self.X.flatten(), self.Y.flatten())
shape = self.X.flatten().shape
self.assertEqual(phi.shape, shape)
self.assertEqual(fx.shape, shape)
self.assertEqual(fy.shape, shape)
def test_phi_matrix(self):
phi, fx, fy = self.model.phi(self.X, self.Y)
shape = self.X.shape
self.assertEqual(phi.shape, shape)
self.assertEqual(fx.shape, shape)
self.assertEqual(fy.shape, shape)
class ConstHeightVectorComputationTestCase(unittest.TestCase):
MODEL_NAME = 'egm96'
LAT = np.asarray([
[+dms_to_dec(16, 46, 33), -dms_to_dec(16, 46, 43)],
[-dms_to_dec(16, 56, 33), +dms_to_dec(16, 56, 43)],
])
LON = np.asarray([
[-dms_to_dec(3, 0, 34), +dms_to_dec(3, 0, 44)],
[+dms_to_dec(3, 10, 34), -dms_to_dec(3, 10, 44)],
])
HEIGHT = 300.
GX = np.asarray([
[-0.0000185562383, +0.0000064699387],
[+0.0000003420218, +0.0000255265776],
])
GY = np.asarray([
[-0.0000022160340, -0.0000728579276],
[-0.0000753687802, -0.0000471425191],
])
GZ = np.asarray([
[-9.7839489045745, -9.7837475302880],
[-9.7838283874308, -9.7840427535630],
])
MGAL = 1.e-5 # [m/s**2]
DELTAX = np.asarray([
[-1.8556238327792, +0.6469938707953],
[+0.0342021784554, +2.5526577571442],
]) * MGAL
DELTAY = np.asarray([
[-0.0864975107851, -7.4209183975897],
[-7.6731665518214, -4.5779437005530],
]) * MGAL
DELTAZ = np.asarray([
[-24.6995051809167, -4.42361602478520],
[-4.30431998082860, -25.6012585484130],
]) * MGAL
GHEIGHT = np.asarray([
[+28.707423353273, +14.886288004977],
[+15.032497786636, +28.660865719440],
])
ARCSEC = 1. / 3600.
DG01 = np.asarray([
[+15.7255802520963, -0.2935186685049],
[-0.4570089444766, +16.6326172077381],
]) * MGAL
XI = np.asarray([
[+0.0278739163708, +1.5627851282352],
[+1.6159837030728, +0.9752134528843],
]) * ARCSEC
ETA = np.asarray([
[+0.3912117252501, -0.1364024044788],
[-0.0072106096609, -0.5381591725495],
]) * ARCSEC
def setUp(self) -> None:
self.model = GravityModel(self.MODEL_NAME)
def test_gravity_vector(self):
w, gx, gy, gz = self.model.gravity(self.LAT.flatten(),
self.LON.flatten(), self.HEIGHT)
npt.assert_allclose(gx, self.GX.flatten())
npt.assert_allclose(gy, self.GY.flatten())
npt.assert_allclose(gz, self.GZ.flatten())
def test_gravity_matrix(self):
w, gx, gy, gz = self.model.gravity(self.LAT, self.LON, self.HEIGHT)
npt.assert_allclose(gx, self.GX)
npt.assert_allclose(gy, self.GY)
npt.assert_allclose(gz, self.GZ)
def test_disturbance_vector(self):
t, deltax, deltay, deltaz = self.model.disturbance(
self.LAT.flatten(), self.LON.flatten(), self.HEIGHT)
npt.assert_allclose(deltax, self.DELTAX.flatten())
npt.assert_allclose(deltay, self.DELTAY.flatten())
npt.assert_allclose(deltaz, self.DELTAZ.flatten())
def test_disturbance_matrix(self):
t, deltax, deltay, deltaz = self.model.disturbance(
self.LAT, self.LON, self.HEIGHT)
npt.assert_allclose(deltax, self.DELTAX)
npt.assert_allclose(deltay, self.DELTAY)
npt.assert_allclose(deltaz, self.DELTAZ)
def test_spherical_anomaly_vector(self):
dg01, xi, eta = self.model.spherical_anomaly(self.LAT.flatten(),
self.LON.flatten(),
self.HEIGHT)
npt.assert_allclose(dg01, self.DG01.flatten())
npt.assert_allclose(xi, self.XI.flatten())
npt.assert_allclose(eta, self.ETA.flatten())
def test_spherical_anomaly_matrix(self):
dg01, xi, eta = self.model.spherical_anomaly(self.LAT, self.LON,
self.HEIGHT)
npt.assert_allclose(dg01, self.DG01)
npt.assert_allclose(xi, self.XI)
npt.assert_allclose(eta, self.ETA)
class ComputationTestCase(unittest.TestCase):
MODEL_NAME = 'egm96'
LAT = +dms_to_dec(27, 59, 17) # 27:59:17N
LON = +dms_to_dec(86, 55, 32) # 86:55:32E
HEIGHT = +8820.0 # [m]
X = 302714. # [m]
Y = 5636006. # [m]
Z = 2979476. # [m]
GX = -0.0002103214548 # [m/s**2]
GY = +0.0008380880427 # [m/s**2]
GZ = -9.7665319359240 # [m/s**2]
MGAL = 1.e-5 # [m/s**2]
DELTAX = -21.03214547840420 * MGAL # [m/s**2]
DELTAY = +89.75849905064960 * MGAL # [m/s**2]
DELTAZ = -199.4330543962868 * MGAL # [m/s**2]
GHEIGHT = -28.743736628353
ARCSEC = 1. / 3600.
DG01 = +208.0275697808106 * MGAL # [m/s**2]
XI = -18.8435137999035 * ARCSEC # [rad]
ETA = +4.4428027084385 * ARCSEC # [rad]
# $ echo 27:59:17N 86:55:32E 8820 | Gravity -n egm96 -p 13
# -0.0002103214548 0.0008380880427 -9.7665319359240
# $ echo 27.988055555555555 86.92555555555556 8820 | Gravity -n egm96 -p 13 -G
# -0.0002103214548 0.0008380880427 -9.7665319359240
# $ echo 27.988055555555555 86.92555555555556 8820 | Gravity -n egm96 -p 13 -D
# -21.0321454784042 89.7584990506496 -199.4330543962868
# echo 27.988055555555555 86.92555555555556 | Gravity -n egm96 -p 13 -H
# -28.743736628353
# $ echo 27.988055555555555 86.92555555555556 8820 | Gravity -n egm96 -p 13 -A
# 208.0275697808106 -18.8435137999035 4.4428027084385
def setUp(self) -> None:
self.model = GravityModel(self.MODEL_NAME)
def test_gravity_scalar(self):
w, gx, gy, gz = self.model.gravity(self.LAT, self.LON, self.HEIGHT)
npt.assert_allclose(gx, self.GX)
npt.assert_allclose(gy, self.GY)
npt.assert_allclose(gz, self.GZ)
def test_disturbance_scalar(self):
t, deltax, deltay, deltaz = self.model.disturbance(
self.LAT, self.LON, self.HEIGHT)
npt.assert_allclose(deltax, self.DELTAX)
npt.assert_allclose(deltay, self.DELTAY)
npt.assert_allclose(deltaz, self.DELTAZ)
def test_geoid_heigt_scalar(self):
gheight = self.model.geoid_height(self.LAT, self.LON)
npt.assert_allclose(gheight, self.GHEIGHT)
def test_spherical_anomaly_scalar(self):
dg01, xi, eta = self.model.spherical_anomaly(self.LAT, self.LON,
self.HEIGHT)
npt.assert_allclose(dg01, self.DG01)
npt.assert_allclose(xi, self.XI)
npt.assert_allclose(eta, self.ETA)
def test_w_scalar(self):
w, gx, gy, gz = self.model.w(self.X, self.Y, self.Z)
self.assertTrue(np.isscalar(w))
self.assertTrue(np.isscalar(gx))
self.assertTrue(np.isscalar(gy))
self.assertTrue(np.isscalar(gz))
def test_v_scalar(self):
v, gx, gy, gz = self.model.v(self.X, self.Y, self.Z)
self.assertTrue(np.isscalar(v))
self.assertTrue(np.isscalar(gx))
self.assertTrue(np.isscalar(gy))
self.assertTrue(np.isscalar(gz))
def test_t_components_scalar(self):
t, gx, gy, gz = self.model.t_components(self.X, self.Y, self.Z)
self.assertTrue(np.isscalar(t))
self.assertTrue(np.isscalar(gx))
self.assertTrue(np.isscalar(gy))
self.assertTrue(np.isscalar(gz))
def test_t_scalar(self):
t = self.model.t(self.X, self.Y, self.Z)
self.assertTrue(np.isscalar(t))
def test_u_scalar(self):
u, gammax, gammay, gammaz = self.model.u(self.X, self.Y, self.Z)
self.assertTrue(np.isscalar(u))
self.assertTrue(np.isscalar(gammax))
self.assertTrue(np.isscalar(gammay))
self.assertTrue(np.isscalar(gammaz))
def test_phi_scalar(self):
phi, fx, fy = self.model.phi(self.X, self.Y)
self.assertTrue(np.isscalar(phi))
self.assertTrue(np.isscalar(fx))
self.assertTrue(np.isscalar(fy))