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import os
from unittest import TestCase
import numpy as np
from numpy.testing import assert_allclose
from scipy.integrate import cumulative_trapezoid
from scipy.interpolate import interp1d
from math_utils import array_utils
from nr_analysis_axi import doublenull, invars
class TestDoubleNull(TestCase):
def _data_path(self):
return os.path.splitext(__file__)[0] + '.npz'
def update_refs(self, **kwargs):
data = dict(self.data) | kwargs
np.savez(self._data_path(), **data)
def setUp(self):
self.data = np.load(self._data_path())
def test_null_curves(self):
rays = doublenull.null_curves(self.data['t'], self.data['x'],
self.data['gxx'], np.zeros_like(self.data['gxx']),
-(self.data['alpha'] ** 2))
assert_allclose(rays[0], self.data['ray_times'], 1e-12)
assert_allclose(rays[1], self.data['rays_pos'], 1e-12)
assert_allclose(rays[2], self.data['rays_neg'], 1e-12)
#self.update_refs(ray_times = rays[0], rays_pos = rays[1], rays_neg = rays[2])
def test_null_coordinates(self):
x = self.data['x']
idx = x.shape[0] // 2
gxx = self.data['gxx']
uv = 0.5 * array_utils.array_reflect(invars.dist_proper(x[idx:], gxx[0, idx:]), -1)
coords = doublenull.null_coordinates(self.data['t'], x, uv, uv,
gxx, np.zeros_like(gxx),
-(self.data['alpha'] ** 2))
assert_allclose(coords[0], self.data['uxt'], 1e-12)
assert_allclose(coords[1], self.data['vxt'], 1e-12)
#self.update_refs(uxt = coords[0], vxt = coords[1])
def test_null_coordinates_inv(self):
t = self.data['t']
x = self.data['x']
idx = x.shape[0] // 2
gxx = self.data['gxx']
alpha = self.data['alpha']
# proper time τ(t)
tau_t = cumulative_trapezoid(alpha[:, idx], t, initial = 0.0)
# uniform grid in τ
tau_uniform = np.linspace(tau_t[0], tau_t[-1], t.shape[0])
# t on the uniform τ grid
t_tau = interp1d(tau_t, t)(tau_uniform)
Tuv, Xuv = doublenull.null_coordinates_inv(t, x, tau_uniform,
gxx, None, -(alpha ** 2),
uv_times = t_tau)
assert_allclose(Tuv, self.data['Tuv'], 1e-12)
assert_allclose(Xuv, self.data['Xuv'], 1e-12)
#self.update_refs(Tuv = Tuv, Xuv = Xuv)
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