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0.00/0.00 indicates that no digital zoom was used ) _numerator _denominator_valrcCst|tr|j|_|j|_|j|_dSt|tr!|j|_|j|_n||_||_|dkr2td|_dS|dkr=t||_dSt|||_dS)z :param value: either an integer numerator, a float/rational/other number, or an IFDRational :param denominator: Optional integer denominator Nrnanr) isinstancerQrYr_rZr`rarfloat)selfvaluerZr$r$r(__init__?s   zIFDRational.__init__cC|jSrX)r_rer$r$r(rYYzIFDRational.numeratorcCrhrX)r`rir$r$r(rZ]rjzIFDRational.denominatorcCs.|jdkr |j|jfS|j|}|j|jfS)z :param max_denominator: Integer, the maximum denominator value :returns: Tuple of (numerator, denominator) r)rZrYralimit_denominator)remax_denominatorfr$r$r(rRas    zIFDRational.limit_rationalcCstt|jSrX)strrdrarir$r$r(__repr__nszIFDRational.__repr__cCs |jSrX)ra__hash__rir$r$r(rpqs zIFDRational.__hash__cCs0|j}t|tr |j}t|trt|}||kSrX)rarcrQrd)reotherrSr$r$r(__eq__ts   zIFDRational.__eq__cCs|j|j|jgSrX)rar_r`rir$r$r( __getstate__|rNzIFDRational.__getstate__cCs,t|d|\}}}||_||_||_dS)Nr)rQrgrar_r`)restaterar_r`r$r$r( __setstate__s   zIFDRational.__setstate__cfdd}|S)Ncst|j|SrX)getattrra)reargsopr$r(delegaterNz'IFDRational._delegate..delegater$)rzr{r$ryr( _delegates zIFDRational._delegate__add____radd____sub____rsub____mul____rmul__ __truediv__ __rtruediv__ __floordiv__ __rfloordiv____mod____rmod____pow____rpow____pos____neg____abs__ __trunc____lt____gt____le____ge____bool____ceil__ __floor__ __round____int__Nr*)-__name__ __module__ __qualname____doc__ __slots__rgpropertyrYrZrRrorprrrsrur|r}r~rrrrrrrrrrrrrrrrrrrrrrrrhasattrrrr$r$r$r(rQ1s\      rQc@seZdZdZd^ddZeddZeddZed dZej d d Zd d Z ddZ ddZ ddZ ddZddZddZddZddZddZd d!Zd"d#Zd$d%Zd&d'Zd(d)Zeeeejd*d+fejd,d-fejd.d/fejd0d1fej d2d3fej!d4d5fej"d6d7fej#d,d-fej$d8d9fg ed:d:d_dd?Z&ed@d:d_dAdBZ'ed@dCdDZ(edEdFd_dGdHZ)edEdIdJZ*edKd:d_dLdMZ+edKdNdOZ,edPdFd_dQdRZ-edPdSdTZ.dUdVZ/dWdXZ0d`dZd[Z1d\d]Z2dS)aImageFileDirectory_v2aThis class represents a TIFF tag directory. To speed things up, we don't decode tags unless they're asked for. Exposes a dictionary interface of the tags in the directory:: ifd = ImageFileDirectory_v2() ifd[key] = 'Some Data' ifd.tagtype[key] = TiffTags.ASCII print(ifd[key]) 'Some Data' Individual values are returned as the strings or numbers, sequences are returned as tuples of the values. The tiff metadata type of each item is stored in a dictionary of tag types in :attr:`~PIL.TiffImagePlugin.ImageFileDirectory_v2.tagtype`. The types are read from a tiff file, guessed from the type added, or added manually. Data Structures: * ``self.tagtype = {}`` * Key: numerical TIFF tag number * Value: integer corresponding to the data type from :py:data:`.TiffTags.TYPES` .. versionadded:: 3.0.0 'Internal' data structures: * ``self._tags_v2 = {}`` * Key: numerical TIFF tag number * Value: decoded data, as tuple for multiple values * ``self._tagdata = {}`` * Key: numerical TIFF tag number * Value: undecoded byte string from file * ``self._tags_v1 = {}`` * Key: numerical TIFF tag number * Value: decoded data in the v1 format Tags will be found in the private attributes ``self._tagdata``, and in ``self._tags_v2`` once decoded. ``self.legacy_api`` is a value for internal use, and shouldn't be changed from outside code. In cooperation with :py:class:`~PIL.TiffImagePlugin.ImageFileDirectory_v1`, if ``legacy_api`` is true, then decoded tags will be populated into both ``_tags_v1`` and ``_tags_v2``. ``_tags_v2`` will be used if this IFD is used in the TIFF save routine. 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Expecting to read  bytes but only got z. )readrDOSError)refprretrr$r$r( _ensure_reads  z"ImageFileDirectory_v2._ensure_readc Csr|||_z|jr|d||dn |d||dd}t|D]}|jr7|d||dn |d||d \}}}}t||j j }t |d } d |d |d | d |d } z |j |\} } Wnty~t| d|Yq(w|| } | |jrdndkr|}||jrdnd|\}| d|d|7} ||t|| }||n|d| }t|| krtd| dt|d|t| q(|st| q(||j|<||j|<| d| dkrd| nt|7} t| q(|jr|d||dn |d||d\|_WdSty8} ztt| WYd} ~ dSd} ~ ww)Nrr rrrZHHQ8sHHL4sr-unknownztag:  ( ) - type: )z - unsupported type rr,z Tag Location: z - Data Location: z/Possibly corrupt EXIF data. Expecting to read rFz. Skipping tag - value: r4)rtellrrrrKranger rrrrgetrKeyErrorloggerdebugseekr _safe_readrDrrrrrrrHrn)rerIZ tag_countirrcountrtagnametypnamerZ unit_sizerrhereoffsetr$r$r(load"sz                zImageFileDirectory_v2.loadrc Cs|dt|j}g}|t|t|jdd}d}t|jD]\}}|tkr/t|}|j|}t d|d|dt ||t j koNt |t}|ry|jdkrYd} nd } t| |d } |j|} | D]\} } | | | <qj| |}nt |tr|n|f} |j||g| R}t ||jj}|rd nt|d }d |d|d|d|d }|dt|dkrdt|nt| 7}t ||rd}n|t jt jt jfvrt|}nt| }t|dkr|||||dddfq#|||||d||f|t|ddd7}q#|dur>||\}}}}}|r'd}t||d|d|d|}|||||f||<|D]*\}}}}}t |d|d|dt |dt | ||d||||7}q@|d7}|D]\}}}}}||7}t|d@r|d7}qq|S)Nrr-rzTag z, Type: z , Value: rsII*sMM*)rifdrNzsave: rOrPrQrRr/rSrr#rr,rz&multistrip support not yet implementedrrrMs) rrDrsortedr STRIPOFFSETSrrVrXrYrr rrcrrrtobytesrr rrrrrnrrrappendljustNotImplementedErrorr)reraresultentriesZ stripoffsetsrrfrrrrcrZifd_tagZ ifd_valuerr^r_rr]r$r$r(rfesl           .zImageFileDirectory_v2.tobytescCsN|dkr||j|ddd|}||}|||t|S)NrZHL*r )rTwriterrrfrD)rerIrarjr$r$r(saves    zImageFileDirectory_v2.save)rNNrr=)3rrrrrgrrLrarsetterrrrrrrrrrrrrr r rlistmapr rrZ SIGNED_BYTErrFLOATrZIFDZLONG8rr"r&r(r<r@rArBrDrErKrbrfrnr$r$r$r(rs| <     P                     C MrrrrZwrite_cseZdZUdZfddZeddZeddZee d< e dd Z d d Z d d Z ddZddZddZddZZS)ImageFileDirectory_v1aThis class represents the **legacy** interface to a TIFF tag directory. 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