shell bypass 403
o
^ bRn � @ sv d dl mZ d dlZd dlZd dlZd dlZd dlZdgZejj Z
ejj Z e�
dejejB �ZG dd� dej�ZdS )� ��DecimalN�FractionaC
\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
� ZdRdd�Z 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 r�t|�tu r||_d|_|S t|tj �r+|j
|_|j |_|S t|t t
f�r<|�� \|_|_|S t|t�r�t�|�}|d u rPtd| ��t|�d�pWd�}|�d�}|ret|�}n8d}|�d�}|r�dt|� }|| t|� }||9 }|�d�} | r�t| �} | d kr�|d| 9 }n|d| 9 }|�d
�d kr�| }q�td ��t|�t u r�t|�u r�n nn t|tj �r�t|tj �r�|j
|j |j
|j }}ntd
��|d kr�td| ��|r�t�||�}
|d k r�|
}
||
}||
}||_||_|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__�type�intr r �
isinstance�numbers�Rational� numerator� denominator�floatr �as_integer_ratio�str�_RATIONAL_FORMAT�match�
ValueError�group�len� TypeError�ZeroDivisionError�math�gcd) �clsr r r �self�mr
r Zscaler �g�� __class__� �2/usr/local/python-3.10/lib/python3.10/fractions.pyr > sx
�
�
�
� zFraction.__new__c C sF t |tj�r | |�S t |t�s 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|tj�r|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/qG||||| | f\}}}}|||| }}q || | }
t||
| ||
| �} t||�} t| | �t| | �krm| S | S )Nr
z$max_denominator should be at least 1)r r
r
r )r! r r r �abs)
r) Zmax_denominatorZp0Zq0Zp1Zq1�n�d�aZq2�kZbound1Zbound2r. r. r/ �limit_denominator� s*
�
zFraction.limit_denominatorc C � | j S r5 )r �r; r. r. r/ r � zFraction.numeratorc C r> r5 )r r? r. r. r/ r r@ zFraction.denominatorc C s d| j j| j| jf S )Nz
%s(%s, %s))r- r1 r r r6 r. r. r/ �__repr__ s �zFraction.__repr__c C s& | j dkr t| j�S d| j| j f S )Nr
z%s/%s)r r r r6 r. r. r/ �__str__
s
zFraction.__str__c sV � �fdd�}d� j d |_ �j|_� �fdd�}d� j d |_ �j|_||fS )Nc sL t |ttf�r �| |�S t |t�r� t| �|�S t |t�r$� t| �|�S tS r5 )r r r r �complex�NotImplemented�r; �b��fallback_operator�monomorphic_operatorr. r/ �forwardd s
z-Fraction._operator_fallbacks.<locals>.forward�__c sV t |tj�r �|| �S t |tj�r� t|�t| ��S t |tj�r)� 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|| || || dd�S || }||| || }t�||�} | dkrIt||| dd�S t|| ||| dd�S �Nr
Fr �r r r& r' r �
r; rF �na�da�nb�dbr+ �s�t�g2r. r. r/ �_add� � z
Fraction._addc
C s� | j | j}}|j |j}}t�||�}|dkr(t|| || || dd�S || }||| || }t�||�} | dkrIt||| dd�S t|| ||| dd�S rQ rR rS r. r. r/ �_sub� r\ z
Fraction._subc C s| | j | j}}|j |j}}t�||�}|dkr!|| }|| }t�||�}|dkr3|| }|| }t|| || dd�S 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|| dd�S �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 |tj�rM|jdkrE|j}|dkr t| j| | j| dd�S | jdkr4t| j| | j| dd�S t| j | | j | dd�S 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|tj�r 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| jdd�S �NFr �r r r r? r. r. r/ �__pos__H s zFraction.__pos__c C s t | j | jdd�S ri rj r? r. r. r/ �__neg__L s zFraction.__neg__c C s t t| j�| jdd�S 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) Zndigits�floor� remainder�shiftr. 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 )N���r ���)�powr �_PyHASH_MODULUSr! � _PyHASH_INF�hashr8 r )r) ZdinvZhash_�resultr. r. r/ �__hash__} s �zFraction.__hash__c C s� t |�tu r| j|ko| jdkS t|tj�r#| 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 �imag�realr r& �isnan�isinfr3 rD rE r. r. r/ �__eq__� s
�
zFraction.__eq__c C sd t |tj�r|| j|j | j|j �S t |t�r0t� |�s#t�
|�r(|d|�S || | � |��S t S )Nr )
r r r r r r r r r& r� r� r3 rD )r) �other�opr. r. r/ �_richcmp� s
�
zFraction._richcmpc C � | � |tj�S r5 )r� �operator�ltrE 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 | j�S 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| j�S 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� �re�sys�__all__� hash_info�modulusrz �infr{ �compile�VERBOSE�
IGNORECASEr r r r. r. r. r/ �<module> s
�