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import unittest
import numpy as np
import pytest
from numpy import inf, isnan, log, pi
from numpy.testing import assert_almost_equal, assert_equal
import skrf as rf
from skrf.constants import EIG_MIN
from skrf.mathFunctions import LOG_OF_NEG, rand_c, set_rand_rng
class TestUnitConversions(unittest.TestCase):
"""
Test unit-conversion functions
"""
def setUp(self):
pass
def test_complex_2_magnitude(self):
"""
Test complex to magnitude conversion with:
5 = 3 + 4j
"""
assert_almost_equal(rf.complex_2_magnitude(3+4j), 5.0)
def test_complex_2_db10(self):
"""
Test complex to db10 conversion with:
10 [dB] = 10 * log10(6+8j)
"""
assert_almost_equal(rf.complex_2_db10(6+8j), 10.0)
def test_complex_2_degree(self):
"""
Test complex to degree conversion with:
90 = angle(0 + 1j)
"""
assert_almost_equal(rf.complex_2_degree(0+1j), 90.0)
def test_complex_2_quadrature(self):
"""
Test complex to quadrature conversion with:
2, pi = abs(2j), angle(2j) * abs(2j)
"""
assert_almost_equal(rf.complex_2_quadrature(0+2j), (2, pi))
def test_complex_components(self):
"""
Test complex components:
"""
assert_almost_equal(rf.complex_components(0+2j), (0, 2, 90, 2, pi))
def test_complex_2_reim(self):
"""
Test complex to (real, imag) conversion:
"""
assert_almost_equal(rf.complex_2_reim(1+2j), (1,2))
def test_magnitude_2_db(self):
"""
Test magnitude to db conversion
"""
assert_almost_equal(rf.magnitude_2_db(10, True), 20)
assert_almost_equal(rf.magnitude_2_db(10, False), 20)
with pytest.warns(RuntimeWarning, match="divide by zero"):
assert_almost_equal(rf.magnitude_2_db(0), -inf)
with pytest.warns(RuntimeWarning, match="invalid value encountered in log10"):
assert_almost_equal(rf.magnitude_2_db(-1, True), LOG_OF_NEG)
assert_almost_equal(rf.magnitude_2_db([10, -1], True), [20, LOG_OF_NEG])
self.assertTrue(isnan(rf.magnitude_2_db(-1, False)))
assert_equal(rf.mag_2_db, rf.magnitude_2_db) # Just an alias
def test_mag_2_db10(self):
"""
Test magnitude to db10 conversion
"""
assert_almost_equal(rf.mag_2_db10(10, True), 10)
assert_almost_equal(rf.mag_2_db10(10, False), 10)
with pytest.warns(RuntimeWarning, match="divide by zero"):
assert_almost_equal(rf.magnitude_2_db(0), -inf)
with pytest.warns(RuntimeWarning, match="invalid value encountered in log10"):
assert_almost_equal(rf.mag_2_db10(-1, True), LOG_OF_NEG)
assert_almost_equal(rf.mag_2_db10([10, -1], True), [10, LOG_OF_NEG])
self.assertTrue(isnan(rf.mag_2_db10(-1, False)))
def test_db10_2_mag(self):
"""
Test db10 to mag conversion
"""
assert_almost_equal(rf.db10_2_mag(3+4j), 10**((3+4j)/10))
def test_magdeg_2_reim(self):
"""
Test (mag,deg) to (re+j*im)
"""
assert_almost_equal(rf.magdeg_2_reim(1, 90), (0+1j))
def test_dbdeg_2_reim(self):
"""
Test (db, deg) to (re+j*im)
"""
assert_almost_equal(rf.dbdeg_2_reim(20,90), (0+10j))
def test_np_2_db(self):
"""
Test Np to dB conversion with:
1 [Np] = 20/ln(10) [dB]
"""
assert_almost_equal(rf.np_2_db(1), 20/log(10))
def test_db_2_np(self):
"""
Test dB to Np conversion with:
1 [dB] = ln(10)/20 [Np]
"""
assert_almost_equal(rf.db_2_np(1), log(10)/20)
def test_radian_2_degree(self):
assert_almost_equal(rf.radian_2_degree(pi), 180)
def test_feet_2_meter(self):
"""
Test feet to meter length conversion
"""
assert_almost_equal(rf.feet_2_meter(0.01), 0.003048)
assert_almost_equal(rf.feet_2_meter(1), 0.3048)
def test_meter_2_feet(self):
"""
Test meter to feet length conversion
"""
assert_almost_equal(rf.meter_2_feet(0.01), 0.0328084)
assert_almost_equal(rf.meter_2_feet(1), 3.28084)
def test_db_per_100feet_2_db_per_100meter(self):
"""
Test attenuation unit conversion dB/100feet to dB/100m
"""
assert_almost_equal(rf.db_per_100feet_2_db_per_100meter(), rf.meter_2_feet(), decimal=2)
assert_almost_equal(rf.db_per_100feet_2_db_per_100meter(2.5), 8.2, decimal=2)
assert_almost_equal(rf.db_per_100feet_2_db_per_100meter(0.28), 0.92, decimal=2)
def test_inf_to_num(self):
"""
Test inf_to_num function
"""
# scalar
assert_equal(rf.inf_to_num(np.inf), rf.INF)
assert_equal(rf.inf_to_num(-np.inf), -rf.INF)
# array
x = np.array([0, np.inf, 0, -np.inf])
y = np.array([0, rf.INF, 0, -rf.INF])
assert_equal(rf.inf_to_num(x), y)
def test_rsolve(self):
rng = np.random.default_rng()
A = rng.random((3, 2, 2)) + 1j*rng.random((3, 2, 2))
B = rng.random((3, 2, 2)) + 1j*rng.random((3, 2, 2))
# Make sure they are not singular
A = rf.nudge_eig(A)
B = rf.nudge_eig(B)
x = rf.rsolve(A, B)
np.testing.assert_allclose(x @ A, B)
def test_nudge_eig(self):
A = np.zeros((3, 2, 2))
cond_A = np.linalg.cond(A)
A2 = rf.nudge_eig(A)
self.assertFalse(A is A2)
self.assertTrue(np.all(np.linalg.cond(A2) < cond_A))
np.testing.assert_allclose(A2, A, atol=1e-9)
def test_nudge_eig2(self):
A = np.diag([1, 1, 1, 1]).reshape(1, 4, 4)
A2 = rf.nudge_eig(A)
self.assertTrue(A is A2)
def test_nudge_default_params(self):
"Test default params and passing different optional params"
# check that Minimum eigenvalue is correctly passed
A = np.zeros((3, 2, 2))
A2 = rf.nudge_eig(A)
np.testing.assert_allclose(A2[:,0,0], EIG_MIN)
A3 = rf.nudge_eig(A, min_eig=1e-10)
np.testing.assert_allclose(A3[:,0,0], 1e-10)
class TestRandom(unittest.TestCase):
"""
Test set_rand_rng().
"""
def setUp(self):
pass
def test_set_rand_rng(self):
set_rand_rng(np.random.default_rng(seed=42))
result1_seed42 = rand_c(2, 2)
set_rand_rng(np.random.default_rng(seed=43))
result1_seed43 = rand_c(2, 2)
set_rand_rng(np.random.default_rng(seed=42))
result2_seed42 = rand_c(2, 2)
set_rand_rng(np.random.default_rng(seed=43))
result2_seed43 = rand_c(2, 2)
self.assertTrue((result1_seed42 == result2_seed42).all())
self.assertTrue((result1_seed43 == result2_seed43).all())
self.assertFalse((result1_seed42 == result1_seed43).all())
self.assertFalse((result2_seed42 == result2_seed43).all())
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