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Code Editor : fractions.cpython-36.opt-1.pyc
3 � fW\ � @ s� d Z ddlmZ ddlZddlZddlZddlZddlZddgZdd� Z dd� Z ejjZ ejjZejd ejejB �ZG d d� dej�ZdS )z+Fraction, infinite-precision, real numbers.� )�DecimalN�Fraction�gcdc C sf ddl }|jdtd� t| �t ko0t|�kn r\|p<| dk rPtj| |� S tj| |�S t| |�S )z�Calculate 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). r Nz6fractions.gcd() is deprecated. Use math.gcd() instead.� )�warnings�warn�DeprecationWarning�type�int�mathr �_gcd)�a�br � r �./opt/alt/python36/lib64/python3.6/fractions.pyr s c C s x|r|| | } }qW | 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 Zd ZdZdSZdTdd�� fdd �Zed d� �Zedd � �ZdUdd�Z e dd� �Ze dd� �Zdd� Z dd� Zdd� Zdd� Zeeej�\ZZdd� Zeeej�\ZZdd � Zeeej�\ZZd!d"� Zeeej�\ZZ d#d$� Z!d%d&� Z"d'd(� Z#d)d*� Z$d+d,� Z%d-d.� Z&d/d0� Z'd1d2� Z(d3d4� Z)d5d6� Z*d7d8� Z+d9d:� Z,dVd;d<�Z-d=d>� Z.d?d@� Z/dAdB� Z0dCdD� Z1dEdF� Z2dGdH� Z3dIdJ� Z4dKdL� Z5dMdN� Z6dOdP� Z7dQdR� Z8� Z9S )Wr a] This class implements rational numbers. In the two-argument form of the constructor, Fraction(8, 6) will produce a rational number equivalent to 4/3. Both arguments must be Rational. 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: - numeric strings similar to those accepted by the float constructor (for example, '-2.3' or '1e10') - strings of the form '123/456' - float and Decimal instances - other Rational instances (including integers) � _numerator�_denominatorr NT)� _normalizec sR t t| �j| �}|dk�rdt|�tkr6||_d|_|S t|tj �rV|j |_|j|_|S t|tt f�rx|j� \|_|_|S t|t��rZtj|�}|dkr�td| ��t|jd�p�d�}|jd�}|r�t|�}nvd}|jd�}|�rdt|� }|| t|� }||9 }|jd �} | �rBt| �} | d k�r4|d| 9 }n|d| 9 }|jd�dk�rb| }ntd ��nft|�t k�o�t|�kn �r�n@t|tj ��r�t|tj ��r�|j |j |j |j }}ntd��|d k�r�td| ��|�rBt|�t k�ot|�kn �r(tj||�} |d k �r2| } n t||�} || }|| }||_||_|S )a� Constructs a Rational. Takes a string like '3/2' or '1.5', another Rational instance, a numerator/denominator pair, or a float. Examples -------- >>> Fraction(10, -8) Fraction(-5, 4) >>> Fraction(Fraction(1, 7), 5) Fraction(1, 35) >>> Fraction(Fraction(1, 7), Fraction(2, 3)) Fraction(3, 14) >>> Fraction('314') Fraction(314, 1) >>> Fraction('-35/4') Fraction(-35, 4) >>> Fraction('3.1415') # conversion from numeric string Fraction(6283, 2000) >>> Fraction('-47e-2') # string may include a decimal exponent Fraction(-47, 100) >>> Fraction(1.47) # direct construction from float (exact conversion) Fraction(6620291452234629, 4503599627370496) >>> Fraction(2.25) Fraction(9, 4) >>> Fraction(Decimal('1.47')) Fraction(147, 100) 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__r r r r � isinstance�numbers�Rational� numerator�denominator�floatr �as_integer_ratio�str�_RATIONAL_FORMAT�match� ValueError�group�len� TypeError�ZeroDivisionErrorr r r )�clsr r! r �self�mr r Zscaler �g)� __class__r r r T sr $ $ zFraction.__new__c C sD t |tj�r| |�S t |t�s8td| j|t|�jf ��| |j� � S )z�Converts a finite float to a rational number, exactly. Beware that Fraction.from_float(0.3) != Fraction(3, 10). z.%s.from_float() only takes floats, not %r (%s))r r �Integralr"