AlkantarClanX12
Your IP : 18.116.81.255
a
R�f_ � @ st 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 ZdZdQdd�� 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 �rdt|�tu r6||_d|_|S t|tj �rV|j
|_|j |_|S t|t t
f�rx|�� \|_|_|S t|t��rZt�|�}|d u r�td| ��t|�d�p�d�}|�d�}|r�t|�}nvd}|�d�}|�rdt|� }|| t|� }||9 }|�d�} | �rBt| �} | d k�r4|d| 9 }n|d| 9 }|�d
�d k�rb| }ntd ��nft|�t u �r�t|�u �r�n nn@t|tj ��r�t|tj ��r�|j
|j |j
|j }}ntd
��|d k�r�td| ��|�rt�||�}
|d k �r|
}
||
}||
}||_||_|S )N� z Invalid literal for Fraction: %rZnum�0�denom�decimal�
�expr Zsign�-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�mathZgcd) �clsr r r �self�mr r
Zscaler �g�� __class__� �./opt/alt/python39/lib64/python3.9/fractions.pyr > st
�
$
�
�
zFraction.__new__c C sD t |tj�r| |�S t |t�s8td| 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 sV ddl m} t|tj�r&|t|��}n$t||�sJtd| j|t|�jf ��| |� � � S )Nr r z2%s.from_decimal() only takes Decimals, not %r (%s))
r
r r r r- r r" r. r r )r% Zdecr r+ r+ r, � from_decimal� s
��zFraction.from_decimalc C s | j | jfS �Nr �r& r+ r+ r, r � s zFraction.as_integer_ratio�@B c
C s� |dk rt d��| j|kr"t| �S d\}}}}| j| j }}|| }||| } | |krZq�||||| | f\}}}}|||| }}q<|| | }
t||
| ||
| �} t||�} t| | �t| | �kr�| S | S d S )Nr
z$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 s | j S r2 )r �r8 r+ r+ r, r s zFraction.numeratorc C s | j S r2 )r r; r+ r+ r, r s zFraction.denominatorc C s d| j j| j| jf S )Nz
%s(%s, %s))r* r. r r r3 r+ r+ r, �__repr__ s �zFraction.__repr__c C s( | j dkrt| j�S d| j| j f S d S )Nr
z%s/%s)r r r r3 r+ r+ r, �__str__
s
zFraction.__str__c sT � �fdd�}d� j d |_ �j|_� �fdd�}d� j d |_ �j|_||fS )Nc sP t |ttf�r�| |�S t |t�r0� t| �|�S t |t�rH� t| �|�S tS d S r2 )r r r r �complex�NotImplemented�r8 �b��fallback_operator�monomorphic_operatorr+ r, �forwardd s
z-Fraction._operator_fallbacks.<locals>.forward�__c sZ t |tj�r�|| �S t |tj�r4� t|�t| ��S t |tj�rR� t|�t| ��S tS d S r2 )r r r ZRealr �Complexr> r? �rA r8 rB r+ r, �reversep s
z-Fraction._operator_fallbacks.<locals>.reverseZ__r)r. �__doc__)rD rC rE rI r+ rB r, �_operator_fallbacks s P
z Fraction._operator_fallbacksc C s, | j |j }}t| j| |j| || �S r2 �r r r �r8 rA �da�dbr+ r+ r, �_add s �z
Fraction._addc C s, | j |j }}t| j| |j| || �S r2 rL rM r+ r+ r, �_sub� s �z
Fraction._subc C s t | j|j | j|j �S r2 �r r r r@ r+ r+ r, �_mul� s z
Fraction._mulc C s t | j|j | j|j �S r2 rR r@ r+ r+ r, �_div� s
�z
Fraction._divc C s | j |j | j|j S r2 �r r r@ r+ r+ r, � _floordiv� s zFraction._floordivc C s: | j |j }}t| j| ||j �\}}|t||| �fS r2 )r �divmodr r )r8 rA rN rO ZdivZn_modr+ r+ r, �_divmod� s zFraction._divmodc C s, | j |j }}t| j| |j| || �S r2 rL rM r+ r+ r, �_mod� s z
Fraction._modc C s� t |tj�r�|jdkr�|j}|dkr>t| j| | j| dd�S | jdkrft| j| | j| dd�S t| j | | j | dd�S q�t| �t|� S n t| �| S d S )Nr
r Fr ) r r r r r r r r r )r8 rA Zpowerr+ r+ r, �__pow__� s&
�
� �zFraction.__pow__c C s\ | j dkr | jdkr || j S t|tj�r<t|j|j�| S | j dkrP|| j S |t| � S )Nr
r ) r r r r r r r r r rH r+ r+ r, �__rpow__� s
zFraction.__rpow__c C s t | j| jdd�S �NFr �r r r r; r+ r+ r, �__pos__� s zFraction.__pos__c C s t | j | jdd�S r\ r] r; r+ r+ r, �__neg__� s zFraction.__neg__c C s t t| j�| jdd�S r\ )r r5 r r r; r+ r+ r, �__abs__� s zFraction.__abs__c C s* | j dk r| j | j S | j | j S d S )Nr r r; r+ r+ r, � __trunc__� s
zFraction.__trunc__c C s | j | j S r2 rU r; r+ r+ r, � __floor__� s zFraction.__floor__c C s | j | j S r2 rU r; r+ r+ r, �__ceil__� s zFraction.__ceil__c C s� |d u rZt | j| j�\}}|d | jk r,|S |d | jkrB|d S |d dkrR|S |d S dt|� }|dkr�tt| | �|�S tt| | �| �S d S )N� r
r r )rW r r r5 r �round)r& �ndigitsZfloorZ remainder�shiftr+ r+ r, � __round__� s zFraction.__round__c C sd zt | jdt�}W n ty( t}Y n0 ttt| j��| �}| jdkrN|n| }|dkr`dS |S )N���r ���)�powr �_PyHASH_MODULUSr � _PyHASH_INF�hashr5 r )r& ZdinvZhash_�resultr+ r+ r, �__hash__ s
zFraction.__hash__c C s� t |�tu r | j|ko | jdkS t|tj�rD| j|jkoB| j|jkS t|tj �r`|j
dkr`|j }t|t �r�t
�|�s~t
�|�r�d|kS | | �|�kS ntS d S )Nr
r � )r r r r r r r r r rG �imag�realr r$ �isnan�isinfr0 r? r@ r+ r+ r, �__eq__3 s
�
zFraction.__eq__c C sh t |tj�r&|| j|j | j|j �S t |t�r`t� |�sDt�
|�rN|d|�S || | � |��S nt S d S )Nrq )
r r r r r r r r r$ rt ru r0 r? )r& �other�opr+ r+ r, �_richcmpH s
�
zFraction._richcmpc C s | � |tj�S r2 )ry �operator�ltr@ r+ r+ r, �__lt__^ s zFraction.__lt__c C s | � |tj�S r2 )ry rz �gtr@ r+ r+ r, �__gt__b s zFraction.__gt__c C s | � |tj�S r2 )ry rz �ler@ r+ r+ r, �__le__f s zFraction.__le__c C s | � |tj�S r2 )ry rz �ger@ r+ r+ r, �__ge__j s zFraction.__ge__c C s
t | j�S r2 )�boolr r; r+ r+ r, �__bool__n s zFraction.__bool__c C s | j t| �ffS r2 )r* r r3 r+ r+ r, �
__reduce__v s zFraction.__reduce__c C s t | �tkr| S | �| j| j�S r2 �r r r* r r r3 r+ r+ r, �__copy__y s zFraction.__copy__c C s t | �tkr| S | �| j| j�S r2 r� )r& �memor+ r+ r, � __deepcopy__~ s zFraction.__deepcopy__)r N)r4 )N)Br. �
__module__� __qualname__� __slots__r � classmethodr0 r1 r r: �propertyr r r< r= rK rP rz �add�__add__�__radd__rQ �sub�__sub__�__rsub__rS �mul�__mul__�__rmul__rT �truediv� __truediv__� __rtruediv__rV �floordiv� __floordiv__�
__rfloordiv__rX rW �
__divmod__� __rdivmod__rY �mod�__mod__�__rmod__rZ r[ r^ r_ r` ra rb rc rh rp rv ry r| r~ r� r� r� r� r� r� �
__classcell__r+ r+ r) r, r & sb i
7
k
!)r
r r$ r rz �re�sys�__all__� hash_info�modulusrl �infrm �compile�VERBOSE�
IGNORECASEr r r r+ r+ r+ r, �<module> s
�