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fractions.cpython-310.opt-2.pyc
o eyr @ sv d dl mZ d dlZd dlZd dlZd dlZd dlZdgZejj Z ejj Z e dejejB ZG dd dejZdS ) DecimalNFractionaC \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 Zd Z dZdQdd fdd Zedd Zed d Zd d ZdRddZ e dd Z e dd Z dd Z dd Zdd Zdd Zeeej\ZZd d Zeeej\ZZd d Zeeej\ZZ d!d" Z ee ej \Z Z d#d$ Z!ee!ej"\Z#Z$d%d& Z%ee%e&\Z'Z(d'd( Z)ee)ej*\Z+Z,d)d* Z-d+d, Z.d-d. Z/d/d0 Z0d1d2 Z1d3d4 Z2d5d6 Z3d7d8 Z4dSd9d:Z5d;d< Z6d=d> Z7d?d@ Z8dAdB Z9dCdD Z:dEdF Z;dGdH Z<dIdJ Z=dKdL Z>dMdN Z?dOdP Z@ ZAS )Tr _numerator _denominatorr NT _normalizec s t t| | }|d u rt|tu r||_d|_|S t|tj r+|j |_|j |_|S t|t t fr<| \|_|_|S t|trt|}|d u rPtd| t|dpWd}|d}|ret|}n8d}|d}|rdt| }|| t| }||9 }|d} | rt| } | d kr|d| 9 }n|d| 9 }|d d kr| }n3td t|t u rt|u rn nn t|tj rt|tj r|j |j |j |j }}ntd |d krtd| |rt||} |d k r| } || }|| }||_||_|S )N z Invalid literal for Fraction: %rnum0denomdecimal expr sign-z2argument should be a string or a Rational instancez+both arguments should be Rational instanceszFraction(%s, 0))superr __new__typeintr r isinstancenumbersRational numerator denominatorfloatr as_integer_ratiostr_RATIONAL_FORMATmatch ValueErrorgrouplen TypeErrorZeroDivisionErrormathgcd) clsr r r selfmr r Zscaler g __class__ //opt/plesk/python/3/lib/python3.10/fractions.pyr > sx zFraction.__new__c C sF t |tjr | |S t |ts td| j|t|jf | | S )Nz.%s.from_float() only takes floats, not %r (%s))r r Integralr r$ __name__r r )r( fr. r. r/ from_float s zFraction.from_floatc C sX ddl m} t|tjr|t|}nt||s&td| j|t|jf | | S )Nr r z2%s.from_decimal() only takes Decimals, not %r (%s)) r r r r r0 r r$ r1 r r )r( Zdecr r. r. r/ from_decimal s zFraction.from_decimalc C s | j | jfS Nr r) r. r. r/ r s zFraction.as_integer_ratio@B c C s |dk r t d| j|krt| S d\}}}}| j| j}} || }||| } | |kr/n||||| | f\}}}}|||| }}q || | } t|| | || | } t||} t| | t| | krm| S | S )Nr z$max_denominator should be at least 1)r r r r )r! r r r abs) r) Zmax_denominatorZp0Zq0Zp1Zq1ndaZq2kZbound1Zbound2r. r. r/ limit_denominator s* zFraction.limit_denominatorc C | j S r5 )r r; r. r. r/ r zFraction.numeratorc C r> r5 )r r? r. r. r/ r r@ zFraction.denominatorc C s d| j j| j| jf S )Nz %s(%s, %s))r- r1 r r r6 r. r. r/ __repr__ s zFraction.__repr__c C s& | j dkr t| jS d| j| j f S )Nr z%s/%s)r r r r6 r. r. r/ __str__ s zFraction.__str__c sV fdd}d j d |_ j|_ fdd}d j d |_ j|_||fS )Nc sL t |ttfr | |S t |tr t| |S t |tr$ t| |S tS r5 )r r r r complexNotImplementedr; bfallback_operatormonomorphic_operatorr. r/ forwardd s z-Fraction._operator_fallbacks.<locals>.forward__c sV t |tjr || S t |tjr t|t| S t |tjr) t|t| S tS r5 )r r r ZRealr ComplexrC rD rF r; rG r. r/ reversep s z-Fraction._operator_fallbacks.<locals>.reverseZ__r)r1 __doc__)rI rH rJ rN r. rG r/ _operator_fallbacks s O z Fraction._operator_fallbacksc C s | j | j}}|j |j}}t||}|dkr(t|| || || ddS || }||| || }t||} | dkrIt||| ddS t|| ||| ddS Nr Fr r r r& r' r r; rF nadanbdbr+ stg2r. r. r/ _add z Fraction._addc C s | j | j}}|j |j}}t||}|dkr(t|| || || ddS || }||| || }t||} | dkrIt||| ddS t|| ||| ddS rQ rR rS r. r. r/ _sub r\ z Fraction._subc C s| | j | j}}|j |j}}t||}|dkr!|| }|| }t||}|dkr3|| }|| }t|| || ddS rQ rR )r; rF rT rU rV rW g1rZ r. r. r/ _mul s z Fraction._mulc C s | j | j}}|j |j}}t||}|dkr!|| }|| }t||}|dkr3|| }|| }|| || }} | dk rG| | }} t|| ddS Nr r Fr rR ) r; rF rT rU rV rW r^ rZ r9 r: r. r. r/ _div s z Fraction._divc C s | j |j | j|j S r5 r r rE r. r. r/ _floordiv s zFraction._floordivc C s< | j |j }}t| j| ||j \}}|t||| fS r5 )r divmodr r )r; rF rU rW ZdivZn_modr. r. r/ _divmod s zFraction._divmodc C s. | j |j }}t| j| |j| || S r5 )r r r )r; rF rU rW r. r. r/ _mod s z Fraction._modc C s t |tjrM|jdkrE|j}|dkr t| j| | j| ddS | jdkr4t| j| | j| ddS t| j | | j | ddS t| t| S t| | S r` ) r r r r r r r r r )r; rF Zpowerr. r. r/ __pow__ s( zFraction.__pow__c C s^ | j dkr| jdkr|| j S t|tjr t|j|j| S | j dkr)|| j S |t| S )Nr r ) r r r r r r r r r rM r. r. r/ __rpow__: s zFraction.__rpow__c C s t | j| jddS NFr r r r r? r. r. r/ __pos__H s zFraction.__pos__c C s t | j | jddS ri rj r? r. r. r/ __neg__L s zFraction.__neg__c C s t t| j| jddS ri )r r8 r r r? r. r. r/ __abs__P s zFraction.__abs__c C s( | j dk r| j | j S | j | j S )Nr r r? r. r. r/ __trunc__T s zFraction.__trunc__c C s | j | j S r5 rb r? r. r. r/ __floor__[ s zFraction.__floor__c C s | j | j S r5 rb r? r. r. r/ __ceil___ s zFraction.__ceil__c C s |d u r.t | j| j\}}|d | jk r|S |d | jkr"|d S |d dkr*|S |d S dt| }|dkrAtt| | |S tt| | | S )N r r r )rd r r r8 r round)r) Zndigitsfloor remaindershiftr. r. r/ __round__d s zFraction.__round__c C sf z t | jdt}W n ty t}Y n w ttt| j| }| jdkr(|n| }|dkr1dS |S )Nr )powr _PyHASH_MODULUSr! _PyHASH_INFhashr8 r )r) ZdinvZhash_resultr. r. r/ __hash__} s zFraction.__hash__c C s t |tu r| j|ko| jdkS t|tjr#| j|jko"| j|jkS t|tj r1|j dkr1|j }t|t rKt |s@t |rDd|kS | | |kS tS )Nr r )r r r r r r r r r rL imagrealr r& isnanisinfr3 rD rE r. r. r/ __eq__ s zFraction.__eq__c C sd t |tjr|| j|j | j|j S t |tr0t |s#t |r(|d|S || | |S t S )Nr ) r r r r r r r r r& r r r3 rD )r) otheropr. r. r/ _richcmp s zFraction._richcmpc C | |tjS r5 )r operatorltrE r. r. r/ __lt__ zFraction.__lt__c C r r5 )r r gtrE r. r. r/ __gt__ r zFraction.__gt__c C r r5 )r r lerE r. r. r/ __le__ r zFraction.__le__c C r r5 )r r gerE r. r. r/ __ge__ r zFraction.__ge__c C s t | jS r5 )boolr r? r. r. r/ __bool__ s zFraction.__bool__c C s | j t| ffS r5 )r- r r6 r. r. r/ __reduce__ s zFraction.__reduce__c C t | tkr| S | | j| jS r5 r r r- r r r6 r. r. r/ __copy__ zFraction.__copy__c C r r5 r )r) memor. r. r/ __deepcopy__ r zFraction.__deepcopy__)r N)r7 r5 )Br1 __module__ __qualname__ __slots__r classmethodr3 r4 r r= propertyr r rA rB rP r[ r add__add____radd__r] sub__sub____rsub__r_ mul__mul____rmul__ra truediv __truediv__ __rtruediv__rc floordiv __floordiv__ __rfloordiv__re rd __divmod__ __rdivmod__rf mod__mod____rmod__rg rh rk rl rm rn ro rp rv r~ r r r r r r r r r r __classcell__r. r. r, r/ r & sh i 7 0 !)r r r& r r resys__all__ hash_infomodulusrz infr{ compileVERBOSE IGNORECASEr r r r. r. r. r/ <module> s