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test_k_R_relation.py
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test_k_R_relation.py
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import unittest
import numpy as np
from numpy.testing import assert_almost_equal
import xarray as xr
from pycomlink.processing import k_R_relation
class Test_a_b(unittest.TestCase):
def test_with_float(self):
f_GHz = 30
pol = "V"
calculated_a, calculated_b = k_R_relation.a_b(
f_GHz, pol, approx_type="ITU_2005"
)
assert_almost_equal(0.2291, calculated_a)
assert_almost_equal(0.9129, calculated_b)
pol = "H"
calculated_a, calculated_b = k_R_relation.a_b(
f_GHz, pol, approx_type="ITU_2005"
)
assert_almost_equal(0.2403, calculated_a)
assert_almost_equal(0.9485, calculated_b)
def test_with_f_GHz_array(self):
f_GHz = np.arange(1, 100, 0.5)
pol = "V"
a, b = k_R_relation.a_b(f_GHz, pol, approx_type="ITU_2005")
calculated_a = a[2::40]
calculated_b = b[2::40]
expected_a = np.array([0.0000998, 0.117, 0.4712, 0.8889, 1.1915])
expected_b = np.array([0.949, 0.97, 0.8296, 0.7424, 0.6988])
assert_almost_equal(
expected_a,
calculated_a,
)
assert_almost_equal(
expected_b,
calculated_b,
)
pol = "H"
a, b = k_R_relation.a_b(f_GHz, pol, approx_type="ITU_2005")
calculated_a = a[2::40]
calculated_b = b[2::40]
expected_a = np.array([0.0000847, 0.1155, 0.4865, 0.8974, 1.1946])
expected_b = np.array([1.0664, 1.0329, 0.8539, 0.7586, 0.7077])
assert_almost_equal(
expected_a,
calculated_a,
)
assert_almost_equal(
expected_b,
calculated_b,
)
def test_with_f_GHz_pol_array(self):
f_GHz = np.arange(1, 100, 0.5)
pol = np.repeat("V", len(f_GHz))
a, b = k_R_relation.a_b(f_GHz, pol, approx_type="ITU_2005")
calculated_a = a[2::40]
calculated_b = b[2::40]
expected_a = np.array([0.0000998, 0.117, 0.4712, 0.8889, 1.1915])
expected_b = np.array([0.949, 0.97, 0.8296, 0.7424, 0.6988])
assert_almost_equal(
expected_a,
calculated_a,
)
assert_almost_equal(
expected_b,
calculated_b,
)
pol = np.repeat("H", len(f_GHz))
a, b = k_R_relation.a_b(f_GHz, pol, approx_type="ITU_2005")
calculated_a = a[2::40]
calculated_b = b[2::40]
expected_a = np.array([0.0000847, 0.1155, 0.4865, 0.8974, 1.1946])
expected_b = np.array([1.0664, 1.0329, 0.8539, 0.7586, 0.7077])
assert_almost_equal(
expected_a,
calculated_a,
)
assert_almost_equal(
expected_b,
calculated_b,
)
def test_with_f_GHz_pol_xarray(self):
f_GHz = xr.DataArray(np.arange(1, 100, 0.5))
pol = "V"
a, b = k_R_relation.a_b(f_GHz, pol, approx_type="ITU_2005")
calculated_a = a[2::40]
calculated_b = b[2::40]
expected_a = np.array([0.0000998, 0.117, 0.4712, 0.8889, 1.1915])
expected_b = np.array([0.949, 0.97, 0.8296, 0.7424, 0.6988])
assert_almost_equal(
expected_a,
calculated_a,
)
assert_almost_equal(
expected_b,
calculated_b,
)
pol = xr.DataArray(np.repeat("H", len(f_GHz)))
a, b = k_R_relation.a_b(f_GHz, pol, approx_type="ITU_2005")
calculated_a = a[2::40]
calculated_b = b[2::40]
expected_a = np.array([0.0000847, 0.1155, 0.4865, 0.8974, 1.1946])
expected_b = np.array([1.0664, 1.0329, 0.8539, 0.7586, 0.7077])
assert_almost_equal(
expected_a,
calculated_a,
)
assert_almost_equal(
expected_b,
calculated_b,
)
def test_with_f_GHz_mulidim_xarray(self):
A = 5
L_km = 5
A, Z = np.array(["A", "Z"]).view("int32")
cml_ids = np.random.randint(low=A, high=Z, size=198 * 4,
dtype="int32").view(f"U{4}")
f_GHz = xr.DataArray(
data=[np.arange(1, 100, 0.5)],
dims=['sublin_id', 'cml_id'],
coords=dict(
sublink_id='sublink_1',
cml_id=cml_ids, ))
pol = "H"
expected_a, expected_b = k_R_relation.a_b(f_GHz, pol, approx_type="ITU_2005")
assert_almost_equal(
expected_a.sum(),
128.67885799,
)
assert_almost_equal(
expected_b.sum(),
175.58906864,
)
def test_interpolation(self):
f_GHz = np.array([1.7, 28.9, 82.1])
pol = "V"
calculated_a, calculated_b = k_R_relation.a_b(
f_GHz, pol, approx_type="ITU_2005"
)
expected_a = np.array([7.32461650e-05, 2.10765233e-01, 1.19270158e00])
expected_b = np.array([0.91564363, 0.92104328, 0.69864681])
assert_almost_equal(expected_a, calculated_a)
assert_almost_equal(expected_b, calculated_b)
pol = "H"
calculated_a, calculated_b = k_R_relation.a_b(
f_GHz, pol, approx_type="ITU_2005"
)
expected_a = np.array([5.79858748e-05, 2.20643479e-01, 1.19577832e00])
expected_b = np.array([1.03804498, 0.95897267, 0.70750869])
assert_almost_equal(expected_a, calculated_a)
assert_almost_equal(expected_b, calculated_b)
def test_2003_ITU_table(self):
f_GHz = np.array([2, 35, 90])
pol = "V"
calculated_a, calculated_b = k_R_relation.a_b(
f_GHz, pol, approx_type="ITU_2003"
)
expected_a = np.array([1.00e-04, 2.33e-01, 9.99e-01])
expected_b = np.array([0.923, 0.963, 0.754])
assert_almost_equal(expected_a, calculated_a)
assert_almost_equal(expected_b, calculated_b)
pol = "H"
calculated_a, calculated_b = k_R_relation.a_b(
f_GHz, pol, approx_type="ITU_2003"
)
expected_a = np.array([2.00e-04, 2.63e-01, 1.06e00])
expected_b = np.array([0.963, 0.979, 0.753])
assert_almost_equal(expected_a, calculated_a)
assert_almost_equal(expected_b, calculated_b)
def test_raises(self):
with self.assertRaises(ValueError):
k_R_relation.a_b(-2, "H", approx_type="ITU_2005")
with self.assertRaises(ValueError):
k_R_relation.a_b(30, "b", approx_type="ITU_2005")
with self.assertRaises(ValueError):
k_R_relation.a_b(30, "H", approx_type="ITU_2000")
class Test_calc_R_from_A(unittest.TestCase):
def test_with_int(self):
A = 5
L_km = 5
f_GHz = 30
pol = "H"
calculated_R = k_R_relation.calc_R_from_A(A, L_km, f_GHz, pol)
assert_almost_equal(4.49644185, calculated_R)
def test_with_arg_a_b(self):
A = 5
L_km = 3
f_GHz = 23
pol = "V"
a, b = k_R_relation.a_b(f_GHz=f_GHz, pol=pol)
calculated_R_a_b = k_R_relation.calc_R_from_A(
A=A,
L_km=L_km,
a=a,
b=b,
)
calculated_R_f_pol = k_R_relation.calc_R_from_A(
A=A,
L_km=L_km,
f_GHz=f_GHz,
pol=pol,
)
assert_almost_equal(calculated_R_a_b, calculated_R_f_pol)
def test_raise_with_wrong_args(self):
with self.assertRaises(ValueError):
# missing `pol` when providing `f_GHz`
calculated_R = k_R_relation.calc_R_from_A(A=2, L_km=42, f_GHz=10)
with self.assertRaises(ValueError):
# not a valid combination to have `f_GHz` and `a`
calculated_R = k_R_relation.calc_R_from_A(A=2, L_km=42, f_GHz=10, a=3.1)
with self.assertRaises(ValueError):
# not a valid combination either since `a` is not allowed with `f_GHz and `pol`
calculated_R = k_R_relation.calc_R_from_A(
A=2, L_km=42, f_GHz=10, pol="H", a=1
)
with self.assertRaises(ValueError):
# pol and F_GHz as xr.DataArray but with different size
calculated_R = k_R_relation.calc_R_from_A(
A=2, L_km=42, f_GHz=xr.DataArray([10,10]), pol=xr.DataArray("H"))
def test_different_power_law_approximation_types(self):
A = 5
L_km = 5
f_GHz = 30
pol = "H"
calculated_R = k_R_relation.calc_R_from_A(
A, L_km, f_GHz, pol, a_b_approximation="ITU_2005"
)
assert_almost_equal(4.49644185, calculated_R)
calculated_R = k_R_relation.calc_R_from_A(
A, L_km, f_GHz, pol, a_b_approximation="ITU_2003"
)
assert_almost_equal(5.1663233, calculated_R)
def test_with_array(self):
A = np.linspace(0, 30, 5)
A[3] = np.nan
pol = "H"
L_km = 0.1
f_GHz = 80
expected_R = np.array([0.0, 346.1952323, 917.0924868, np.nan, 2429.43446609])
calculated_R = k_R_relation.calc_R_from_A(A, L_km, f_GHz, pol)
assert_almost_equal(expected_R, calculated_R)
L_km = 5
f_GHz = 30
expected_R = np.array([0.0, 6.89479467, 14.31845421, np.nan, 29.7352047])
calculated_R = k_R_relation.calc_R_from_A(A, L_km, f_GHz, pol)
assert_almost_equal(expected_R, calculated_R)
L_km = 30
f_GHz = 12
expected_R = np.array([0.0, 7.29133826, 13.10322105, np.nan, 23.54772138])
calculated_R = k_R_relation.calc_R_from_A(A, L_km, f_GHz, pol)
assert_almost_equal(expected_R, calculated_R)
L_km = 50
f_GHz = 5
expected_R = np.array([0.0, 47.24635411, 71.08341151, np.nan, 106.946906])
calculated_R = k_R_relation.calc_R_from_A(A, L_km, f_GHz, pol)
assert_almost_equal(expected_R, calculated_R)
# without NaN
expected_R = np.array([0.0, 47.24635411, 71.08341151])
calculated_R = k_R_relation.calc_R_from_A(A[:3], L_km, f_GHz, pol)
assert_almost_equal(expected_R, calculated_R)