def from_fixed(cls, fixed_date):
"""Return Hebrew (year month day) corresponding to fixed date 'fixed_date'.
# The fraction can be approximated by 365.25."""
approx = quotient(fixed_date - cls.EPOCH, Fraction(35975351, 98496)) + 1
year = final_int(approx - 1, lambda y: cls.new_year(y) <= fixed_date)
start = (
HebrewMonth.TISHRI if fixed_date < HebrewDate(year, HebrewMonth.NISAN, 1).to_fixed() else HebrewMonth.NISAN
)
month = next_int(start, lambda m: fixed_date <= HebrewDate(year, m, cls.last_day_of_month(m, year)).to_fixed())
day = fixed_date - HebrewDate(year, month, 1).to_fixed() + 1
return HebrewDate(year, month, day)
def new_moon_before(cls, tee):
"""Return the moment UT of last new moon before moment tee."""
t0 = cls.nth_new_moon(0)
phi = cls.lunar_phase(tee)
n = iround(((tee - t0) / cls.MEAN_SYNODIC_MONTH) - (phi / 360))
return cls.nth_new_moon(final_int(n - 1, lambda k: cls.nth_new_moon(k) < tee))