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Edit File: fractions.cpython-310.opt-2.pyc
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�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 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�__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� 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