How to use the geographiclib.geomath.Math.LatFix function in geographiclib

# east-going and meridional geodesics.
    lon12, lon12s = Math.AngDiff(lon1, lon2)
    # Make longitude difference positive.
    lonsign = 1 if lon12 >= 0 else -1
    # If very close to being on the same half-meridian, then make it so.
    lon12 = lonsign * Math.AngRound(lon12)
    lon12s = Math.AngRound((180 - lon12) - lonsign * lon12s)
    lam12 = math.radians(lon12)
    if lon12 > 90:
      slam12, clam12 = Math.sincosd(lon12s); clam12 = -clam12
    else:
      slam12, clam12 = Math.sincosd(lon12)

    # If really close to the equator, treat as on equator.
    lat1 = Math.AngRound(Math.LatFix(lat1))
    lat2 = Math.AngRound(Math.LatFix(lat2))
    # Swap points so that point with higher (abs) latitude is point 1
    # If one latitude is a nan, then it becomes lat1.
    swapp = -1 if abs(lat1) < abs(lat2) else 1
    if swapp < 0:
      lonsign *= -1
      lat2, lat1 = lat1, lat2
    # Make lat1 <= 0
    latsign = 1 if lat1 < 0 else -1
    lat1 *= latsign
    lat2 *= latsign
    # Now we have
    #
    #     0 <= lon12 <= 180
    #     -90 <= lat1 <= 0
    #     lat1 <= lat2 <= -lat1
    #

:param a12: spherical arc length from the first point to the second
      in degrees
    :param outmask: the :ref:`output mask `
    :return: a :ref:`dict`

    Compute geodesic starting at (*lat1*, *lon1*) with azimuth *azi1*
    and arc length *a12*.  The default value of *outmask* is STANDARD,
    i.e., the *lat1*, *lon1*, *azi1*, *lat2*, *lon2*, *azi2*, *s12*,
    *a12* entries are returned.

    """

    a12, lat2, lon2, azi2, s12, m12, M12, M21, S12 = self._GenDirect(
      lat1, lon1, azi1, True, a12, outmask)
    outmask &= Geodesic.OUT_MASK
    result = {'lat1': Math.LatFix(lat1),
              'lon1': lon1 if outmask & Geodesic.LONG_UNROLL else
              Math.AngNormalize(lon1),
              'azi1': Math.AngNormalize(azi1),
              'a12': a12}
    if outmask & Geodesic.DISTANCE: result['s12'] = s12
    if outmask & Geodesic.LATITUDE: result['lat2'] = lat2
    if outmask & Geodesic.LONGITUDE: result['lon2'] = lon2
    if outmask & Geodesic.AZIMUTH: result['azi2'] = azi2
    if outmask & Geodesic.REDUCEDLENGTH: result['m12'] = m12
    if outmask & Geodesic.GEODESICSCALE:
      result['M12'] = M12; result['M21'] = M21
    if outmask & Geodesic.AREA: result['S12'] = S12
    return result

# in [-180, 180] but -180 is only for west-going geodesics.  180 is for
    # east-going and meridional geodesics.
    lon12, lon12s = Math.AngDiff(lon1, lon2)
    # Make longitude difference positive.
    lonsign = 1 if lon12 >= 0 else -1
    # If very close to being on the same half-meridian, then make it so.
    lon12 = lonsign * Math.AngRound(lon12)
    lon12s = Math.AngRound((180 - lon12) - lonsign * lon12s)
    lam12 = math.radians(lon12)
    if lon12 > 90:
      slam12, clam12 = Math.sincosd(lon12s); clam12 = -clam12
    else:
      slam12, clam12 = Math.sincosd(lon12)

    # If really close to the equator, treat as on equator.
    lat1 = Math.AngRound(Math.LatFix(lat1))
    lat2 = Math.AngRound(Math.LatFix(lat2))
    # Swap points so that point with higher (abs) latitude is point 1
    # If one latitude is a nan, then it becomes lat1.
    swapp = -1 if abs(lat1) < abs(lat2) else 1
    if swapp < 0:
      lonsign *= -1
      lat2, lat1 = lat1, lat2
    # Make lat1 <= 0
    latsign = 1 if lat1 < 0 else -1
    lat1 *= latsign
    lat2 *= latsign
    # Now we have
    #
    #     0 <= lon12 <= 180
    #     -90 <= lat1 <= 0
    #     lat1 <= lat2 <= -lat1

returned.

    """

    a12, s12, salp1,calp1, salp2,calp2, m12, M12, M21, S12 = self._GenInverse(
      lat1, lon1, lat2, lon2, outmask)
    outmask &= Geodesic.OUT_MASK
    if outmask & Geodesic.LONG_UNROLL:
      lon12, e = Math.AngDiff(lon1, lon2)
      lon2 = (lon1 + lon12) + e
    else:
      lon2 = Math.AngNormalize(lon2)
    result = {'lat1': Math.LatFix(lat1),
              'lon1': lon1 if outmask & Geodesic.LONG_UNROLL else
              Math.AngNormalize(lon1),
              'lat2': Math.LatFix(lat2),
              'lon2': lon2}
    result['a12'] = a12
    if outmask & Geodesic.DISTANCE: result['s12'] = s12
    if outmask & Geodesic.AZIMUTH:
      result['azi1'] = Math.atan2d(salp1, calp1)
      result['azi2'] = Math.atan2d(salp2, calp2)
    if outmask & Geodesic.REDUCEDLENGTH: result['m12'] = m12
    if outmask & Geodesic.GEODESICSCALE:
      result['M12'] = M12; result['M21'] = M21
    if outmask & Geodesic.AREA: result['S12'] = S12
    return result

Compute geodesic between (*lat1*, *lon1*) and (*lat2*, *lon2*).
    The default value of *outmask* is STANDARD, i.e., the *lat1*,
    *lon1*, *azi1*, *lat2*, *lon2*, *azi2*, *s12*, *a12* entries are
    returned.

    """

    a12, s12, salp1,calp1, salp2,calp2, m12, M12, M21, S12 = self._GenInverse(
      lat1, lon1, lat2, lon2, outmask)
    outmask &= Geodesic.OUT_MASK
    if outmask & Geodesic.LONG_UNROLL:
      lon12, e = Math.AngDiff(lon1, lon2)
      lon2 = (lon1 + lon12) + e
    else:
      lon2 = Math.AngNormalize(lon2)
    result = {'lat1': Math.LatFix(lat1),
              'lon1': lon1 if outmask & Geodesic.LONG_UNROLL else
              Math.AngNormalize(lon1),
              'lat2': Math.LatFix(lat2),
              'lon2': lon2}
    result['a12'] = a12
    if outmask & Geodesic.DISTANCE: result['s12'] = s12
    if outmask & Geodesic.AZIMUTH:
      result['azi1'] = Math.atan2d(salp1, calp1)
      result['azi2'] = Math.atan2d(salp2, calp2)
    if outmask & Geodesic.REDUCEDLENGTH: result['m12'] = m12
    if outmask & Geodesic.GEODESICSCALE:
      result['M12'] = M12; result['M21'] = M21
    if outmask & Geodesic.AREA: result['S12'] = S12
    return result

"""

    from geographiclib.geodesic import Geodesic
    self.a = geod.a
    """The equatorial radius in meters (readonly)"""
    self.f = geod.f
    """The flattening (readonly)"""
    self._b = geod._b
    self._c2 = geod._c2
    self._f1 = geod._f1
    self.caps = (caps | Geodesic.LATITUDE | Geodesic.AZIMUTH |
                  Geodesic.LONG_UNROLL)
    """the capabilities (readonly)"""

    # Guard against underflow in salp0
    self.lat1 = Math.LatFix(lat1)
    """the latitude of the first point in degrees (readonly)"""
    self.lon1 = lon1
    """the longitude of the first point in degrees (readonly)"""
    if Math.isnan(salp1) or Math.isnan(calp1):
      self.azi1 = Math.AngNormalize(azi1)
      self.salp1, self.calp1 = Math.sincosd(Math.AngRound(azi1))
    else:
      self.azi1 = azi1
      """the azimuth at the first point in degrees (readonly)"""
      self.salp1 = salp1
      """the sine of the azimuth at the first point (readonly)"""
      self.calp1 = calp1
      """the cosine of the azimuth at the first point (readonly)"""

    # real cbet1, sbet1
    sbet1, cbet1 = Math.sincosd(Math.AngRound(lat1)); sbet1 *= self._f1

# east-going and meridional geodesics.
    lon12, lon12s = Math.AngDiff(lon1, lon2)
    # Make longitude difference positive.
    lonsign = 1 if lon12 >= 0 else -1
    # If very close to being on the same half-meridian, then make it so.
    lon12 = lonsign * Math.AngRound(lon12)
    lon12s = Math.AngRound((180 - lon12) - lonsign * lon12s)
    lam12 = math.radians(lon12)
    if lon12 > 90:
      slam12, clam12 = Math.sincosd(lon12s); clam12 = -clam12
    else:
      slam12, clam12 = Math.sincosd(lon12)

    # If really close to the equator, treat as on equator.
    lat1 = Math.AngRound(Math.LatFix(lat1))
    lat2 = Math.AngRound(Math.LatFix(lat2))
    # Swap points so that point with higher (abs) latitude is point 1
    # If one latitude is a nan, then it becomes lat1.
    swapp = -1 if abs(lat1) < abs(lat2) else 1
    if swapp < 0:
      lonsign *= -1
      lat2, lat1 = lat1, lat2
    # Make lat1 <= 0
    latsign = 1 if lat1 < 0 else -1
    lat1 *= latsign
    lat2 *= latsign
    # Now we have
    #
    #     0 <= lon12 <= 180
    #     -90 <= lat1 <= 0
    #     lat1 <= lat2 <= -lat1
    #

Compute geodesic between (*lat1*, *lon1*) and (*lat2*, *lon2*).
    The default value of *outmask* is STANDARD, i.e., the *lat1*,
    *lon1*, *azi1*, *lat2*, *lon2*, *azi2*, *s12*, *a12* entries are
    returned.

    """

    a12, s12, salp1,calp1, salp2,calp2, m12, M12, M21, S12 = self._GenInverse(
      lat1, lon1, lat2, lon2, outmask)
    outmask &= Geodesic.OUT_MASK
    if outmask & Geodesic.LONG_UNROLL:
      lon12, e = Math.AngDiff(lon1, lon2)
      lon2 = (lon1 + lon12) + e
    else:
      lon2 = Math.AngNormalize(lon2)
    result = {'lat1': Math.LatFix(lat1),
              'lon1': lon1 if outmask & Geodesic.LONG_UNROLL else
              Math.AngNormalize(lon1),
              'lat2': Math.LatFix(lat2),
              'lon2': lon2}
    result['a12'] = a12
    if outmask & Geodesic.DISTANCE: result['s12'] = s12
    if outmask & Geodesic.AZIMUTH:
      result['azi1'] = Math.atan2d(salp1, calp1)
      result['azi2'] = Math.atan2d(salp2, calp2)
    if outmask & Geodesic.REDUCEDLENGTH: result['m12'] = m12
    if outmask & Geodesic.GEODESICSCALE:
      result['M12'] = M12; result['M21'] = M21
    if outmask & Geodesic.AREA: result['S12'] = S12
    return result