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fractions.cpython-35.opt-2.pyc
���]$` � @ s� d d l m Z d d l Z d d l Z d d l Z d d l Z d d l Z d d g Z d d � Z d d � Z e j j Z e j j Z e j d e j e j B� Z Gd d � d e j � Z d S) � )�DecimalN�Fraction�gcdc C s� d d l } | j d t d � t | � t k oB t | � k n rz | pP | d k rj t j | | � St j | | � St | | � S)Nr z6fractions.gcd() is deprecated. Use math.gcd() instead.� )�warnings�warn�DeprecationWarning�type�int�mathr �_gcd)�a�br � r �./opt/alt/python35/lib64/python3.5/fractions.pyr s (c C s" x | r | | | } } q W| S)Nr )r r r r r r s r aC \A\s* # optional whitespace at the start, then (?P<sign>[-+]?) # an optional sign, then (?=\d|\.\d) # lookahead for digit or .digit (?P<num>\d*) # numerator (possibly empty) (?: # followed by (?:/(?P<denom>\d+))? # an optional denominator | # or (?:\.(?P<decimal>\d*))? # an optional fractional part (?:E(?P<exp>[-+]?\d+))? # and optional exponent ) \s*\Z # and optional whitespace to finish c s_ e Z d Z dQ Z d d d � f d d � Z e d d � � Z e d d � � Z d d d � Z e d d � � Z e d d � � Z d d � Z d d � Z d d � Z d d � Z e e e j � \ Z Z d d � Z e e e j � \ Z Z d d � Z e e e j � \ Z Z d d � Z e e e j � \ Z Z d! d" � Z d# d$ � Z! d% d& � Z" d' d( � Z# d) d* � Z$ d+ d, � Z% d- d. � Z& d/ d0 � Z' d1 d2 � Z( d3 d4 � Z) d5 d6 � Z* d7 d8 � Z+ d d9 d: � Z, d; d< � Z- d= d> � Z. d? d@ � Z/ dA dB � Z0 dC dD � Z1 dE dF � Z2 dG dH � Z3 dI dJ � Z4 dK dL � Z5 dM dN � Z6 dO dP � Z7 � S)Rr � _numerator� _denominatorr NTc sU t t | � j | � } | d k r+t | � t k rL | | _ d | _ | St | t j � rz | j | _ | j | _ | St | t � r� t j | � } | j | _ | j | _ | St | t � r� t j | � } | j | _ | j | _ | St | t � r t j | � } | d k r(t d | � � t | j d � p=d � } | j d � } | rgt | � } n� d } | j d � } | r�d t | � } | | t | � } | | 9} | j d � } | r�t | � } | d k r�| d | 9} n | d | 9} | j d � d k r(| } q�t d � � n t | � t k oNt | � k n rVnT t | t j � r�t | t j � r�| j | j | j | j } } n t d � � | d k r�t d | � � | r?t | � t k o�t | � k n r t j | | � } | d k r+| } n t | | � } | | } | | } | | _ | | _ | S)N� z Invalid literal for Fraction: %r�num�0�denom�decimal� �expr �sign�-z2argument should be a string or a Rational instancez+both arguments should be Rational instanceszFraction(%s, 0))�superr �__new__r r r r � isinstance�numbers�Rational� numerator� denominator�float� from_floatr � from_decimal�str�_RATIONAL_FORMAT�match� ValueError�group�len� TypeError�ZeroDivisionErrorr r r ) �clsr! r" � _normalize�self�value�mr r Zscaler �g)� __class__r r r T s� ( ( zFraction.__new__c C s� t | t j � r | | � St | t � sP t d | j | t | � j f � � t j | � rx t d | | j f � � t j | � r� t d | | j f � � | | j � � S)Nz.%s.from_float() only takes floats, not %r (%s)zCannot convert %r to %s.) r r �Integralr# r, �__name__r r �isnanr) �isinf� OverflowError�as_integer_ratio)r. �fr r r r$ � s zFraction.from_floatc C s) d d l m } t | t j � r7 | t | � � } n4 t | | � sk t d | j | t | � j f � � | j � r� t d | | j f � � | j � r� t d | | j f � � | j � \ } } } t d j t t | � � � } | r� | } | d k r| | d | � S| | d | � Sd S)Nr )r z2%s.from_decimal() only takes Decimals, not %r (%s)zCannot convert %s to %s.� r )r r r r r5 r r, r6 r Z is_infiniter9 Zis_nanr) Zas_tuple�join�mapr& )r. Zdecr r �digitsr r r r r% � s& zFraction.from_decimali@B c C s% | d k r t d � � | j | k r1 t | � Sd \ } } } } | j | j } } xd | | } | | | } | | k r~ P| | | | | | f \ } } } } | | | | } } qY W| | | } t | | | | | | � } t | | � } t | | � t | | � k r | S| Sd S)Nr z$max_denominator should be at least 1r )r r r r )r) r r r �abs) r0 Zmax_denominatorZp0Zq0Zp1Zq1�n�dr Zq2�kZbound1Zbound2r r r �limit_denominator� s& & zFraction.limit_denominatorc C s | j S)N)r )r r r r r! * s zFraction.numeratorc C s | j S)N)r )r r r r r" . s zFraction.denominatorc C s d | j j | j | j f S)Nz %s(%s, %s))r4 r6 r r )r0 r r r �__repr__2 s zFraction.__repr__c C s4 | j d k r t | j � Sd | j | j f Sd S)Nr z%s/%s)r r& r )r0 r r r �__str__7 s zFraction.__str__c st � � f d d � } d � j d | _ � j | _ � � f d d � } d � j d | _ � j | _ | | f S)Nc sn t | t t f � r" � | | � St | t � rD � t | � | � St | t � rf � t | � | � St Sd S)N)r r r r# �complex�NotImplemented)r r )�fallback_operator�monomorphic_operatorr r �forward� s z-Fraction._operator_fallbacks.<locals>.forward�__c s} t | t j � r � | | � St | t j � rJ � t | � t | � � St | t j � ru � t | � t | � � St Sd S)N)r r r ZRealr# �ComplexrG rH )r r )rI rJ r r �reverse� s z-Fraction._operator_fallbacks.<locals>.reverseZ__r)r6 �__doc__)rJ rI rK rN r )rI rJ r �_operator_fallbacks> s P z Fraction._operator_fallbacksc C s6 | j | j } } t | j | | j | | | � S)N)r" r r! )r r �da�dbr r r �_add� s z Fraction._addc C s6 | j | j } } t | j | | j | | | � S)N)r" r r! )r r rQ rR r r r �_sub� s z Fraction._subc C s! t | j | j | j | j � S)N)r r! r" )r r r r r �_mul� s z Fraction._mulc C s! t | j | j | j | j � S)N)r r! r" )r r r r r �_div� s z Fraction._divc C s t j | | � S)N)r �floor)r r r r r � __floordiv__� s zFraction.__floordiv__c C s t j | | � S)N)r rW )r r r r r � __rfloordiv__� s zFraction.__rfloordiv__c C s | | } | | | S)Nr )r r �divr r r �__mod__� s zFraction.__mod__c C s | | } | | | S)Nr )r r rZ r r r �__rmod__� s zFraction.__rmod__c C s� t | t j � r� | j d k r� | j } | d k rW t | j | | j | d d �S| j d k r� t | j | | j | d d �St | j | | j | d d �Sq� t | � t | � Sn t | � | Sd S)Nr r r/ F) r r r r" r! r r r r# )r r Zpowerr r r �__pow__� s zFraction.__pow__c C sz | j d k r) | j d k r) | | j St | t j � rR t | j | j � | S| j d k rl | | j S| t | � S)Nr r ) r r r r r r r! r" r# )r r r r r �__rpow__� s zFraction.__rpow__c C s t | j | j d d �S)Nr/ F)r r r )r r r r �__pos__ s zFraction.__pos__c C s t | j | j d d �S)Nr/ F)r r r )r r r r �__neg__ s zFraction.__neg__c C s t t | j � | j d d �S)Nr/ F)r r@ r r )r r r r �__abs__ s zFraction.__abs__c C s1 | j d k r | j | j S| j | j Sd S)Nr )r r )r r r r � __trunc__ s zFraction.__trunc__c C s | j | j S)N)r! r" )r r r r � __floor__ s zFraction.__floor__c C s | j | j S)N)r! r" )r r r r �__ceil__ s zFraction.__ceil__c C s� | d k ru t | j | j � \ } } | d | j k r> | S| d | j k rY | d S| d d k rm | S| d Sd t | � } | d k r� t t | | � | � St t | | � | � Sd S)Nr r r r )�divmodr! r" r@ r �round)r0 ZndigitsrW Z remainderZshiftr r r � __round__ s zFraction.__round__c C sl t | j t d t � } | s( t } n t | j � | t } | d k rQ | n | } | d k rh d S| S)Nr r r ������)�powr �_PyHASH_MODULUS� _PyHASH_INFr@ r )r0 ZdinvZhash_�resultr r r �__hash__9 s zFraction.__hash__c C s� t | � t k r. | j | k o- | j d k St | t j � rb | j | j k oa | j | j k St | t j � r� | j d k r� | j } t | t � r� t j | � s� t j | � r� d | k S| | j | � k Sn t Sd S)Nr r g )r r r r r r r r! r" rM �imag�realr# r r7 r8 r$ rH )r r r r r �__eq__O s ! zFraction.__eq__c C s� t | t j � r3 | | j | j | j | j � St | t � r� t j | � s` t j | � rm | d | � S| | | j | � � Sn t Sd S)Ng ) r r r r r" r r! r# r r7 r8 r$ rH )r0 �other�opr r r �_richcmpd s zFraction._richcmpc C s | j | t j � S)N)rt �operator�lt)r r r r r �__lt__z s zFraction.__lt__c C s | j | t j � S)N)rt ru �gt)r r r r r �__gt__~ s zFraction.__gt__c C s | j | t j � S)N)rt ru �le)r r r r r �__le__� s zFraction.__le__c C s | j | t j � S)N)rt ru �ge)r r r r r �__ge__� s zFraction.__ge__c C s | j d k S)Nr )r )r r r r �__bool__� s zFraction.__bool__c C s | j t | � f f S)N)r4 r& )r0 r r r � __reduce__� s zFraction.__reduce__c C s, t | � t k r | S| j | j | j � S)N)r r r4 r r )r0 r r r �__copy__� s zFraction.__copy__c C s, t | � t k r | S| j | j | j � S)N)r r r4 r r )r0 �memor r r � __deepcopy__� s zFraction.__deepcopy__)r r )8r6 � __module__� __qualname__� __slots__r � classmethodr$ r% rD �propertyr! r" rE rF rP rS ru �add�__add__�__radd__rT �sub�__sub__�__rsub__rU �mul�__mul__�__rmul__rV �truediv� __truediv__� __rtruediv__rX rY r[ r\ r] r^ r_ r` ra rb rc rd rg rn rq rt rw ry r{ r} r~ r r� r� r r )r4 r r < sT u7 k )r r r r ru �re�sys�__all__r r � hash_info�modulusrk �infrl �compile�VERBOSE� IGNORECASEr' r r r r r r �<module> s