from functools import reduce
from math import cos, radians, sqrt


def choices_length(choices):
    return reduce(lambda m, choice: max(m, len(choice[0])), choices, 0)


def en_scolarite(user):
    return user.profil.en_scolarite


def approximate_distance(a, b):
    lat_a = radians(a.y)
    lat_b = radians(b.y)
    dlon = radians(b.x - a.x)
    dlon = dlon * cos((lat_a + lat_b) / 2)
    dlat = lat_a - lat_b
    distance = 6371000 * sqrt(dlon * dlon + dlat * dlat)
    return distance


def is_email_ens(mail, none=False):
    if mail is None:
        return none
    return mail.endswith("ens.fr") or mail.endswith("ens.psl.eu")