GIF89a=( �' 7IAXKgNgYvYx\%wh&h}t�h%�s%x�}9�R��&�0%� (�.��5�SD��&�a)�x5��;ͣ*ȡ&ղ)ׯ7׵<ѻ4�3�H֧KͯT��Y�aq��q��F� !� ' !� NETSCAPE2.0 , =( ��pH,�Ȥr�l:xШtJ�Z�جv��z��xL.:��z�n���|N�����~�������& !�0`9R�}��"�"a:S�~x��������g���E�������R���E����B�� ��ȸ��D���"�Ů� �H��L��D٫D�B�����D���T���H �G��A R�ڐ |�� ٭&��E8�S�kG�A�px�a��� R2XB��E8I���6X�:vT)�~��q�賥��"F~%x� � 4#Z�0O|-4Bs�X:= Q� Sal��yXJ`GȦ|s h��K3l7�B|�$'7Jީܪ0!��D�n=�P� ����0`�R�lj����v>���5 �.69�ϸd�����nlv�9��f{���Pbx �l5}�p� ��� �3a���I�O����!ܾ���i��9��#��)p�a ޽ �{�)vm��%D~ 6f��s}Œ�D�W E�`!� �&L8x� �ܝ{)x`X/>�}m��R�*|`D�=�_ ^�5 !_&'a�O�7�c��`DCx`�¥�9�Y�F���`?��"� �n@`�} lď��@4>�d S �v�xN��"@~d��=�g�s~G��� ���ud &p8Q�)ƫlXD����A~H�ySun�j���k*D�LH�] ��C"J��Xb~ʪwSt}6K,��q�S:9ت:���l�@�`�� �.۬�t9�S�[:��=`9N����{¿�A !R�:���6��x�0�_ �;������^���#����!����U���;0L1�����p% A��U̬ݵ��%�S��!���~`�G���� ���=4�np�3���������u�u�ٮ|%2�I��r�#0��J``8�@S@5� ���^`8E�]�.�S���7 � �0�j S�D� z���i�S�����!���l��w9*�D�I�nEX��� &A�Go�Qf��F��;���}�J����F5��Q|���X��T��y���]� o ��C=��:���PB@ D׽S�(>�C�x}`��xJЬ�۠��p+eE0`�}`A �/NE�� �9@��� H�7�!%B0`�l*��!8 2�%� �:�1�0E��ux%nP1�!�C)�P81l�ɸF#Ƭ{����B0>�� �b�`��O3��()yRpb��E.ZD8�H@% �Rx+%���c� ���f��b�d�`F�"8�XH"��-�|1�6iI, 2�$+](A*j� QT�o0.�U�`�R�}`�SN����yae�����b��o~ S)�y�@��3 �tT�0�&�+~L�f"�-|�~��>!�v��~�\Q1)}@�}h#aP72�"�$ !� " , =( &7IAXG]KgNgYvYxR"k\%w]'}h}t�h%�g+�s%r.m3ax3�x�}9��&��+�!7�0%� (�.�SD��&��;�"&ײ)׻4��6�K� �@pH,�Ȥr�l:xШtJ�Z�جv��z��xL.:��z�n���|N�����~�������& !�0`9R�}��"�"a:S�~x��������g �� E �� �������E �´��C���ǶR��D��"Ʒ�ʱH��M��GڬD�B����D��T����G���C�C� l&�~:'�tU�6ɹ#��)�'�.6�&��Ȼ K(8p0N�?!�2"��NIJX>R��OM '��2�*x�>#n� �@<[:�I�f ��T���Cdb��[�}E�5MBo��@�`@��tW-3 �x�B���jI�&E�9[T&$��ﯧ&"s��ȳ����dc�UUρ#���ldj?����`\}���u|3'�R]�6 �S#�!�FKL�*N E���`$�:e�YD�q�.�촁�s \-�jA 9�����-��M[�x(�s��x�|���p��}k�T�DpE@W� ��]k`1� ���Yb ��0l��*n0��"~zBd�~u�7�0Bl��0-�x~|U�U0 �h�*HS�|��e"#"?vp�i`e6^�+q��`m8 #V�� ��VS|`��"m"сSn|@:U���~`pb�G�ED����2F�I�? >�x� R� ��%~jx��<�a�9ij�2�D��&: Z`�]w���:�6��B�7eFJ|�ҧ�,���FǮcS�ʶ+B�,�ܺN���>PAD�HD��~���n��}�#�� Q��S���2�X�{�k�lQ�2�����w�|2� h9��G�,m���3��6-��E�L��I�³*K���q�`DwV�QXS��peS��� qܧTS����R�u �<�a�*At�lmE� � ��N[P1�ۦ��$��@`��Dpy�yXvCAy�B`}D� 0QwG#� �a[^�� $���Ǧ{L�"[��K�g�;�S~��GX.�goT.��ư��x���?1z��x~:�g�|�L� ��S`��0S]P�^p F<""�?!,�!N4&P� ����:T�@h�9%t��:�-~�I<`�9p I&.)^ 40D#p@�j4�ج:�01��rܼF2oW�#Z ;$Q q  �K��Nl#29 !F@�Bh�ᏬL!XF�LHKh�.�hE&J�G��<"WN!�����Y@� >R~19J"�2,/ &.GXB%�R�9B6�W]���W�I�$��9�RE8Y� ��"�A5�Q.axB�&ة�J�! �t)K%tS-�JF b�NMxL��)�R��"���6O!TH�H� 0 !� ) , =( &AXKgNgYvYxR"k\%wh&h}h%�g+�s%r.x3�x�}9��&��+�R,�!7�0%� (�.��5��&�a)��;�"&ף*Ȳ)ׯ7׻4�3��6�H֧KͻH�T��Y��q��h� ��pH,�Ȥr�l:xШtJ�Z�جv��z��xL.:��z�n���|N�����~�������& !�0`9R�}��"�"a:S�~x��������g �� E$����� � ����$E$��"��D� � ������R��C��� E ��H�M��G�D� �B��ϾD��a��`1r��Ӑ�� �o~�zU!L�C'�yW�UGt����ll�0���uG�)A�s[��x� �xO%��X2�  P�n:R/��aHae+�Dm?# ǣ6�8�J�x�Di�M���j���5oQ7�- <! *�l��R2r/a!l)d� A"�E���� &� ;��c �%����b��pe~C"B���H�eF2��`8qb�t_`ur`e� w�u3��Pv�h""�`�Íx�LĹ��3� �~ֺ�:���MDfJ� �۵�W�%�S�X �؁)�@��:E��w�u�Sxb8y\m�zS��Zb�E�L��w!y(>�"w�=�|��s�d �C�W)H�cC$�L �7r.�\{)@�`@ �X�$PD `aaG:���O�72E�amn]�"Rc�x�R� &dR8`g��i�xLR!�P &d����T���i�|�_ � Qi�#�`g:��:noM� :V �)p����W&a=�e�k� j���1߲s�x�W�jal|0��B0�, \j۴:6���C ��W��|��9���zĸV {�;��n��V�m�I��.��PN� ����C��+��By�ѾHŸ:��� 7�Y�FTk�SaoaY$D�S���29R�kt� ��f� ��:��Sp�3�I��DZ� �9���g��u�*3)O��[_hv ,���Et x�BH� �[��64M@�S�M7d�l�ܶ5-��U܍��z�R3Ԭ3~ ��P��5�g: ���kN�&0�j4���#{��3S�2�K�'ợl���2K{� {۶?~m𸧠�I�nE�='����^���_�=��~�#O���'���o..�Y�n��CSO��a��K��o,���b�����{�C�� "�{�K ��w��Ozdը�:$ ���v�] A#� ���a�z)Rx׿ƥ�d``�w-�y�f�K!����|��P��=�`�(f��'Pa ��BJa%��f�%`�}F����6>��`G"�}�=�!o`�^FP�ةQ�C���`(�}\�ݮ ��$<��n@dĠE#��U�I�!� #l��9`k���'Rr��Z�NB�MF �[�+9���-�wj���8�r� ,V�h"�|�S=�G_��"E� 0i*%̲��da0mVk�):;&6p>�jK ��# �D�:�c?:R Ӭf��I-�"�<�="��7�3S��c2RW ,�8(T"P0F¡Jh�" ; 403WebShell
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Current File : /usr/lib/python2.6/fractions.pyc
Mc@ sdZddklZddkZddkZddkZddkZddgZeiZdZ	ei
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dS(	s+Rational, infinite-precision, real numbers.i(tdivisionNtFractiontgcdcC s$x|o|||}}qW|S(sCalculate the Greatest Common Divisor of a and b.

    Unless b==0, the result will have the same sign as b (so that when
    b is divided by it, the result comes out positive).
    ((tatb((s/usr/lib/python2.6/fractions.pyRss
    \A\s*                      # optional whitespace at the start, then
    (?P<sign>[-+]?)            # an optional sign, then
    (?=\d|\.\d)                # lookahead for digit or .digit
    (?P<num>\d*)               # numerator (possibly empty)
    (?:                        # followed by an optional
       /(?P<denom>\d+)         # / and denominator
    |                          # or
       \.(?P<decimal>\d*)      # decimal point and fractional part
    )?
    \s*\Z                      # and optional whitespace to finish
cB seZdZd(ZdddZedZedZdd	Ze	d
Z
e	dZdZd
Z
dZdZeeei\ZZdZeeei\ZZdZeeei\ZZdZeeei\ZZeeei \Z!Z"dZ#dZ$dZ%dZ&dZ'dZ(dZ)dZ*dZ+dZ,dZ-dZ.dZ/d Z0d!Z1d"Z2d#Z3d$Z4d%Z5d&Z6d'Z7RS()sThis class implements rational numbers.

    Fraction(8, 6) will produce a rational number equivalent to
    4/3. Both arguments must be Integral. The numerator defaults to 0
    and the denominator defaults to 1 so that Fraction(3) == 3 and
    Fraction() == 0.

    Fractions can also be constructed from strings of the form
    '[-+]?[0-9]+((/|.)[0-9]+)?', optionally surrounded by spaces.

    t
_numeratort_denominatoriic	C stt|i|}t|ttfjo|djot|to|}ti	|}|djotd|n|id}|id}|o$t||}dt
|}n)t|}t|idpd}|iddjo|}qFqJt|to|}|i}|i}qJn|d	jotd
|nti|}ti|}t||}|||_|||_|S(sConstructs a Fraction.

        Takes a string like '3/2' or '1.5', another Fraction, or a
        numerator/denominator pair.

        is Invalid literal for Fraction: %rtnumtdecimali
tdenomtsignt-isFraction(%s, 0)N(tsuperRt__new__ttypetinttlongt
isinstancet
basestringt_RATIONAL_FORMATtmatchtNonet
ValueErrortgrouptlentRationalt	numeratortdenominatortZeroDivisionErrortoperatortindexRRR(	tclsRRtselftinputtmRtother_rationaltg((s/usr/lib/python2.6/fractions.pyR
:s8&
	


cC st|tio||St|tp)td|i|t|ifnti|pti	|otd||ifn||i
S(sConverts a finite float to a rational number, exactly.

        Beware that Fraction.from_float(0.3) != Fraction(3, 10).

        s.%s.from_float() only takes floats, not %r (%s)sCannot convert %r to %s.(RtnumberstIntegraltfloatt	TypeErrort__name__Rtmathtisnantisinftas_integer_ratio(Rtf((s/usr/lib/python2.6/fractions.pyt
from_floatjs# cC sddkl}t|tio|t|}n:t||p)td|i|t|ifn|i	ptd||ifn|i
\}}}tditt
|}|o|}n|djo||d|S||d|SdS(	sAConverts a finite Decimal instance to a rational number, exactly.i(tDecimals2%s.from_decimal() only takes Decimals, not %r (%s)sCannot convert %s to %s.tii
N(RR0RR%R&RR(R)Rt	is_finitetas_tupletjointmaptstr(RtdecR0R
tdigitstexp((s/usr/lib/python2.6/fractions.pytfrom_decimalzs #

i@Bc
C s;|djotdn|i|jot|Sd\}}}}|i|i}}xqtoi||}|||}	|	|joPn||||||	f\}}}}||||}}q`W|||}
t||
|||
|}t||}t||t||jo|S|SdS(sWClosest Fraction to self with denominator at most max_denominator.

        >>> Fraction('3.141592653589793').limit_denominator(10)
        Fraction(22, 7)
        >>> Fraction('3.141592653589793').limit_denominator(100)
        Fraction(311, 99)
        >>> Fraction(4321, 8765).limit_denominator(10000)
        Fraction(4321, 8765)

        is$max_denominator should be at least 1iN(iiii(RRRRtTruetabs(
R tmax_denominatortp0tq0tp1tq1tntdRtq2tktbound1tbound2((s/usr/lib/python2.6/fractions.pytlimit_denominators( 


&!cC s|iS(N(R(R((s/usr/lib/python2.6/fractions.pyRscC s|iS(N(R(R((s/usr/lib/python2.6/fractions.pyRscC sd|i|ifS(s
repr(self)sFraction(%s, %s)(RR(R ((s/usr/lib/python2.6/fractions.pyt__repr__scC s6|idjot|iSd|i|ifSdS(s	str(self)is%s/%sN(RR6R(R ((s/usr/lib/python2.6/fractions.pyt__str__sc snfd}did|_i|_fd}did|_i|_||fS(sGenerates forward and reverse operators given a purely-rational
        operator and a function from the operator module.

        Use this like:
        __op__, __rop__ = _operator_fallbacks(just_rational_op, operator.op)

        In general, we want to implement the arithmetic operations so
        that mixed-mode operations either call an implementation whose
        author knew about the types of both arguments, or convert both
        to the nearest built in type and do the operation there. In
        Fraction, that means that we define __add__ and __radd__ as:

            def __add__(self, other):
                # Both types have numerators/denominator attributes,
                # so do the operation directly
                if isinstance(other, (int, long, Fraction)):
                    return Fraction(self.numerator * other.denominator +
                                    other.numerator * self.denominator,
                                    self.denominator * other.denominator)
                # float and complex don't have those operations, but we
                # know about those types, so special case them.
                elif isinstance(other, float):
                    return float(self) + other
                elif isinstance(other, complex):
                    return complex(self) + other
                # Let the other type take over.
                return NotImplemented

            def __radd__(self, other):
                # radd handles more types than add because there's
                # nothing left to fall back to.
                if isinstance(other, Rational):
                    return Fraction(self.numerator * other.denominator +
                                    other.numerator * self.denominator,
                                    self.denominator * other.denominator)
                elif isinstance(other, Real):
                    return float(other) + float(self)
                elif isinstance(other, Complex):
                    return complex(other) + complex(self)
                return NotImplemented


        There are 5 different cases for a mixed-type addition on
        Fraction. I'll refer to all of the above code that doesn't
        refer to Fraction, float, or complex as "boilerplate". 'r'
        will be an instance of Fraction, which is a subtype of
        Rational (r : Fraction <: Rational), and b : B <:
        Complex. The first three involve 'r + b':

            1. If B <: Fraction, int, float, or complex, we handle
               that specially, and all is well.
            2. If Fraction falls back to the boilerplate code, and it
               were to return a value from __add__, we'd miss the
               possibility that B defines a more intelligent __radd__,
               so the boilerplate should return NotImplemented from
               __add__. In particular, we don't handle Rational
               here, even though we could get an exact answer, in case
               the other type wants to do something special.
            3. If B <: Fraction, Python tries B.__radd__ before
               Fraction.__add__. This is ok, because it was
               implemented with knowledge of Fraction, so it can
               handle those instances before delegating to Real or
               Complex.

        The next two situations describe 'b + r'. We assume that b
        didn't know about Fraction in its implementation, and that it
        uses similar boilerplate code:

            4. If B <: Rational, then __radd_ converts both to the
               builtin rational type (hey look, that's us) and
               proceeds.
            5. Otherwise, __radd__ tries to find the nearest common
               base ABC, and fall back to its builtin type. Since this
               class doesn't subclass a concrete type, there's no
               implementation to fall back to, so we need to try as
               hard as possible to return an actual value, or the user
               will get a TypeError.

        c swt|tttfo||St|tot||St|tot||StSdS(N(RRRRR'tcomplextNotImplemented(RR(tfallback_operatortmonomorphic_operator(s/usr/lib/python2.6/fractions.pytforward*st__c st|to||St|tiot|t|St|tiot|t|StSdS(N(RRR%tRealR'tComplexRKRL(RR(RMRN(s/usr/lib/python2.6/fractions.pytreverse6st__r(R)t__doc__(RNRMRORS((RMRNs/usr/lib/python2.6/fractions.pyt_operator_fallbackssP	
cC s/t|i|i|i|i|i|iS(sa + b(RRR(RR((s/usr/lib/python2.6/fractions.pyt_addEscC s/t|i|i|i|i|i|iS(sa - b(RRR(RR((s/usr/lib/python2.6/fractions.pyt_subMscC s!t|i|i|i|iS(sa * b(RRR(RR((s/usr/lib/python2.6/fractions.pyt_mulUscC s!t|i|i|i|iS(sa / b(RRR(RR((s/usr/lib/python2.6/fractions.pyt_div[scC s:||}t|to|i|iSti|SdS(sa // bN(RRRRR*tfloor(RRtdiv((s/usr/lib/python2.6/fractions.pyt__floordiv__cs
cC s:||}t|to|i|iSti|SdS(sa // bN(RRRRR*R[(RRR\((s/usr/lib/python2.6/fractions.pyt
__rfloordiv__os
cC s||}|||S(sa % b((RRR\((s/usr/lib/python2.6/fractions.pyt__mod__{s
cC s||}|||S(sa % b((RRR\((s/usr/lib/python2.6/fractions.pyt__rmod__s
cC st|to{|idjoS|i}|djot|i||i|St|i||i|Sqt|t|Snt||SdS(sa ** b

        If b is not an integer, the result will be a float or complex
        since roots are generally irrational. If b is an integer, the
        result will be rational.

        iiN(RRRRRRRR'(RRtpower((s/usr/lib/python2.6/fractions.pyt__pow__s	

cC s~|idjo|idjo||iSt|tot|i|i|S|idjo||iS|t|S(sa ** bii(RRRRRRRR'(RR((s/usr/lib/python2.6/fractions.pyt__rpow__s cC st|i|iS(s++a: Coerces a subclass instance to Fraction(RRR(R((s/usr/lib/python2.6/fractions.pyt__pos__scC st|i|iS(s-a(RRR(R((s/usr/lib/python2.6/fractions.pyt__neg__scC stt|i|iS(sabs(a)(RR<RR(R((s/usr/lib/python2.6/fractions.pyt__abs__scC s3|idjo|i|iS|i|iSdS(strunc(a)iN(RR(R((s/usr/lib/python2.6/fractions.pyt	__trunc__scC s\|idjot|iS|t|jott|St|i|ifSdS(shash(self)

        Tricky because values that are exactly representable as a
        float must have the same hash as that float.

        iN(RthashRR'(R ((s/usr/lib/python2.6/fractions.pyt__hash__s
cC st|to$|i|ijo|i|ijSt|tio|idjo
|i	}nt|t
o||i|jSt
||jSdS(sa == biN(RRRRRRR%RRtimagtrealR'R/(RR((s/usr/lib/python2.6/fractions.pyt__eq__s#
cC st|tio|idjo
|i}nt|to|i|}ny||}Wntj
otSXt|t	o||i
dS||dS(sHelper function for comparison operators.

        Subtracts b from a, exactly if possible, and compares the
        result with 0 using op, in such a way that the comparison
        won't recurse. If the difference raises a TypeError, returns
        NotImplemented instead.

        i(RR%RRRjRkR'R/R(RLRR(RRtoptdiff((s/usr/lib/python2.6/fractions.pyt_subtractAndCompareToZeros	#
cC s|i|tiS(sa < b(RoRtlt(RR((s/usr/lib/python2.6/fractions.pyt__lt__scC s|i|tiS(sa > b(RoRtgt(RR((s/usr/lib/python2.6/fractions.pyt__gt__scC s|i|tiS(sa <= b(RoRtle(RR((s/usr/lib/python2.6/fractions.pyt__le__scC s|i|tiS(sa >= b(RoRtge(RR((s/usr/lib/python2.6/fractions.pyt__ge__scC s
|idjS(sa != 0i(R(R((s/usr/lib/python2.6/fractions.pyt__nonzero__
scC s|it|ffS(N(t	__class__R6(R ((s/usr/lib/python2.6/fractions.pyt
__reduce__scC s.t|tjo|S|i|i|iS(N(RRRyRR(R ((s/usr/lib/python2.6/fractions.pyt__copy__scC s.t|tjo|S|i|i|iS(N(RRRyRR(R tmemo((s/usr/lib/python2.6/fractions.pyt__deepcopy__s(s
_numerators_denominator(8R)t
__module__RUt	__slots__R
tclassmethodR/R:RHtpropertyRRRIRJRVRWRtaddt__add__t__radd__RXtsubt__sub__t__rsub__RYtmult__mul__t__rmul__RZttruedivt__truediv__t__rtruediv__R\t__div__t__rdiv__R]R^R_R`RbRcRdReRfRgRiRlRoRqRsRuRwRxRzR{R}(((s/usr/lib/python2.6/fractions.pyR*sR07			k																								(RUt
__future__RR*R%Rtret__all__RRtcompiletVERBOSERR(((s/usr/lib/python2.6/fractions.pyt<module>s		

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