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import os
from unittest import TestCase
import numpy as np
from numpy.testing import assert_allclose, assert_equal
from scipy.integrate import cumulative_trapezoid
from math_utils.array_utils import array_reflect as ar
from nr_analysis_axi import null, invars
class TestNull(TestCase):
def setUp(self):
datafile = os.path.splitext(__file__)[0] + '.npz'
self.data = np.load(datafile)
self.t = ar(self.data['t'], -1)
self.x = ar(self.data['x'], -1)
self.gxx = ar(ar(self.data['gxx'], axis = 1), axis = 0)
self.gtt = ar(ar(self.data['gtt'], axis = 1), axis = 0)
def test_null_geodesics(self):
g = null.null_geodesics(self.t, self.x, self.gxx, self.gtt, integrate_times = [0.1])[0]
l = self.data['l']
assert_allclose(g(l), self.data['g'], 1e-12)
def test_coord_similarity(self):
lapse_origin = np.sqrt(-self.data['gtt'][:, 0])
tau = ar(cumulative_trapezoid(lapse_origin, self.data['t'], initial = 0.0), -1)
T_null = -np.log(5.4 - tau)
g = null.null_geodesics(self.t, self.x, self.gxx, self.gtt)
lambda_max = 0.01
ret = null.coord_similarity(self.t, self.x, T_null, None, None, g = g,
lambda_max = lambda_max, lambda_points = 32)
# returned T_null should be the same as source in this case
assert_equal(ret[0], T_null)
# lambdas are from 0 - lambda_max
assert_allclose(ret[1][0], 0.0, 1e-12)
assert_allclose(ret[1][-1], lambda_max, 1e-12)
# lambdas are equidistant
assert_allclose(ret[1][1:] - ret[1][:-1], ret[1][1], 1e-12)
assert_allclose(ret[2][:-10], self.data['x_of_Tnull_lambda'], 1e-12)
assert_allclose(ret[3][:-10], self.data['t_of_Tnull_lambda'], 1e-12)
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