Ë ˜R1i ãó>—dZddlmZmZmZmZddlmZddlm Z d„Z y)z)Routines whose currency is Angle objects.é)Úarctan2ÚsinÚcosÚtan)Útau)ÚAnglec óì—|d|d}}|jr||}}|d|d}}|jr||}}|j}|jdk(r |jn |j }|j}|jdk(r |jn |j }tt t ||z «t |«t|«zt |«t ||z «zz «tz¬«S)a·Return the position angle of one position with respect to another. Each argument should be a tuple whose first two items are :class:`~skyfield.units.Angle` objects, like the tuples returned by :meth:`~skyfield.positionlib.ICRF.radec()`, :meth:`~skyfield.positionlib.ICRF.frame_latlon()`, and :meth:`~skyfield.positionlib.ICRF.altaz()`. If one of the two angle items is signed (if its ``.signed`` attribute is true), then that angle is used as the latitude and the other as the longitude; otherwise the first argument is assumed to be the latitude. If the longitude has a ``.preference`` attribute of ``'hours'``, it is assumed to be a right ascension which is positive towards the east. The position angle returned will be 0 degrees if position #2 is directly north of position #1 on the celestial sphere, 90 degrees if east, 180 if south, and 270 if west. Otherwise, the longitude is assumed to be azimuth, which measures north to east around the horizon. The position angle returned will be 0 degrees if position #2 is directly above position #1 in the sky, 90 degrees to its left, 180 if below, and 270 if to the right. >>> from skyfield.trigonometry import position_angle_of >>> from skyfield.units import Angle >>> a = Angle(degrees=0), Angle(degrees=0) >>> b = Angle(degrees=1), Angle(degrees=1) >>> position_angle_of(a, b) réÚhours)Úradians) Úsignedr Ú preferencerrrrrr)Ú anglepair1Ú anglepair2Úlat1Úlon1Úlat2Úlon2s úY/home/cursorai/projects/iching/venv/lib/python3.12/site-packages/skyfield/trigonometry.pyÚposition_angle_ofrsâ€ðB˜A‘  ¨1¡ ˆ$€DØ ‡{‚{ؘ4ˆdˆà˜A‘  ¨1¡ ˆ$€DØ ‡{‚{ؘ4ˆdˆà <‰<€DØŸ?™?¨gÒ5ˆ4<Š<¸D¿L¹L¸=€DØ <‰<€DØŸ?™?¨gÒ5ˆ4<Š<¸D¿L¹L¸=€Dä œÜ ˆD4‰KÓÜ ˆD‹ ”C˜“IѤ D£ ¬C°°t± Ó,<Ñ <Ñ<óô ñ ô ð óN) Ú__doc__ÚnumpyrrrrÚskyfield.constantsrÚskyfield.unitsrr©rrÚrsðÙ/ç(Ó(Ý"Ý ó1 r