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Fraction._subc C s t | j|j | j|j �S r �r r% r& r r r r �_mul� s z
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zFraction.__rpow__c C s t | j| jdd�S �NFr �r r r rC r r r �__pos__� s zFraction.__pos__c C s t | j | jdd�S rb rc rC r r r �__neg__� s zFraction.__neg__c C s t t| j�| jdd�S rb )r r> r r rC r r r �__abs__� s zFraction.__abs__c C s* | j dk r| j | j S | j | j S d S )Nr r rC r r r � __trunc__ s
zFraction.__trunc__c C s | j | j S r r[ rC r r r � __floor__
s zFraction.__floor__c C s | j | j S r r[ rC r r r �__ceil__ s zFraction.__ceil__c C s� |d krZt | j| j�\}}|d | jk r,|S |d | jkrB|d S |d dkrR|S |d S dt|� }|dkr�tt| | �|�S tt| | �| �S d S )Nr r r r )r] r% r& r> r �round)r2 ZndigitsZfloorZ remainder�shiftr r r � __round__ s zFraction.__round__c C sP t | jtd t�}|s t}nt| j�| t }| dkr:|n| }|dkrLdS |S )Nr r ������)�powr �_PyHASH_MODULUS� _PyHASH_INFr> r )r2 ZdinvZhash_�resultr r r �__hash__, s zFraction.__hash__c C s� t |�tkr | j|ko | jdkS t|tj�rD| j|jkoB| j|jkS t|tj �r`|j
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zFraction._richcmpc C s | � |tj�S r )r| �operator�ltr r r r �__lt__m s zFraction.__lt__c C s | � |tj�S r )r| r} �gtr r r r �__gt__q s zFraction.__gt__c C s | � |tj�S r )r| r} �ler r r r �__le__u s zFraction.__le__c C s | � |tj�S r )r| r} �ger r r r �__ge__y s zFraction.__ge__c C s
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