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import numpy as np
import scipy.interpolate as interp
import scipy.integrate as integrate
def calc_dist_proper(coord, gXX):
"""
Calculate proper distance along given spatial axis.
:param array_like coord: 1D array of spatial coordinates.
:param array_like gXX: Values of the XX component of the spatial metric at
provided coordinates.
:return: array of proper distances from coord[0].
"""
r_proper = np.empty_like(coord)
sqgXX = interp.interp1d(coord, np.sqrt(gXX))
r_proper[0] = 0.0
for i in range(coord.shape[0] - 1):
r_proper[i + 1] = r_proper[i] + integrate.quad(sqgXX, coord[i], coord[i + 1])[0]
return r_proper
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