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Editing: fractions.cpython-310.opt-2.pyc
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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�| }n3td ��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: %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�math�gcd) �clsr r r �self�mr r Zscaler �g�� __class__� �0/opt/alt/python310/lib64/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 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 r t d��| j|krt| �S d\}}}}| j| j}} || }||| } | |kr/n||||| | f\}}}}|||| }}q || | } t|| | || | �} t||�} t| | �t| | �krm| S | S )Nr z$max_denominator should be at least 1)r r r r )r r r r �abs) r' Zmax_denominatorZp0Zq0Zp1Zq1�n�d�aZq2�kZbound1Zbound2r, r, r- �limit_denominator� s* � zFraction.limit_denominatorc C � | j S r3 )r �r9 r, r, r- r � zFraction.numeratorc C r< r3 )r r= r, r, r- r r> zFraction.denominatorc C s d| j j| j| jf S )Nz %s(%s, %s))r+ r/ r r r4 r, r, r- �__repr__ s �zFraction.__repr__c C s& | j dkr t| j�S d| j| j f S )Nr z%s/%s)r r r r4 r, r, r- �__str__ s zFraction.__str__c sV � �fdd�}d� j d |_ �j|_� �fdd�}d� j d |_ �j|_||fS )Nc sL t |ttf�r �| |�S t |t�r� t| �|�S t |t�r$� t| �|�S tS r3 )r r r r �complex�NotImplemented�r9 �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 r3 )r r r ZRealr �ComplexrA rB �rD r9 rE r, r- �reversep s z-Fraction._operator_fallbacks.<locals>.reverseZ__r)r/ �__doc__)rG rF rH rL r, rE 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 � r9 rD �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 rO rP rQ r, r, r- �_sub� rZ z Fraction._subc C s| | j | j}}|j |j}}t�||�}|dkr!|| }|| }t�||�}|dkr3|| }|| }t|| || dd�S rO rP )r9 rD rR rS rT rU �g1rX 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 rP ) r9 rD rR rS rT rU r\ rX r7 r8 r, r, r- �_div� s z Fraction._divc C s | j |j | j|j S r3 �r r rC r, r, r- � _floordiv s zFraction._floordivc C s< | j |j }}t| j| ||j �\}}|t||| �fS r3 )r �divmodr r )r9 rD rS rU ZdivZn_modr, r, r- �_divmod s zFraction._divmodc C s. | j |j }}t| j| |j| || �S r3 )r r r )r9 rD rS rU 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 )r9 rD 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 rK 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 rg rh r= r, r, r- �__neg__L s zFraction.__neg__c C s t t| j�| jdd�S rg )r r6 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 r3 r` r= r, r, r- � __floor__[ s zFraction.__floor__c C s | j | j S r3 r` 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 )rb r r r6 r �round)r' ZndigitsZfloorZ 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�hashr6 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 rJ �imag�realr r$ �isnan�isinfr1 rB rC 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 r1 rB )r' �other�opr, r, r- �_richcmp� s � zFraction._richcmpc C � | � |tj�S r3 )r� �operator�ltrC r, r, r- �__lt__� � zFraction.__lt__c C r� r3 )r� r� �gtrC r, r, r- �__gt__� r� zFraction.__gt__c C r� r3 )r� r� �lerC r, r, r- �__le__� r� zFraction.__le__c C r� r3 )r� r� �gerC r, r, r- �__ge__� r� zFraction.__ge__c C s t | j�S r3 )�boolr r= r, r, r- �__bool__� s zFraction.__bool__c C s | j t| �ffS r3 )r+ r r4 r, r, r- � __reduce__� s zFraction.__reduce__c C � t | �tkr| S | �| j| j�S r3 �r r r+ r r r4 r, r, r- �__copy__� � zFraction.__copy__c C r� r3 r� )r' Zmemor, r, r- � __deepcopy__� r� zFraction.__deepcopy__)r N)r5 r3 )Br/ � __module__� __qualname__� __slots__r � classmethodr1 r2 r r; �propertyr r r? r@ rN rY r� �add�__add__�__radd__r[ �sub�__sub__�__rsub__r] �mul�__mul__�__rmul__r_ �truediv� __truediv__� __rtruediv__ra �floordiv� __floordiv__� __rfloordiv__rc rb � __divmod__� __rdivmod__rd �mod�__mod__�__rmod__re rf ri rj rk rl rm rn rr rz 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�modulusrv �infrw �compile�VERBOSE� IGNORECASEr r r r, r, r, r- �<module> s �
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