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rQ r r r __rmod__ s zFraction.__rmod__c C s t |tjr|jdkr|j}|dkr>t| j| | j| ddS | jdkrft| j| | j| ddS t| j | | j | ddS qt| t| S n t| | S d S )Nr r F)r ) r r r r! r r r r r" )r
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zFraction.__rpow__c C s t | j| jddS )NF)r )r r r )r
r r r __pos__ s zFraction.__pos__c C s t | j | jddS )NF)r )r r r )r
r r r __neg__ s zFraction.__neg__c C s t t| j| jddS )NF)r )r r7 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
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zFraction.__trunc__c C s | j | j S )N)r r! )r
r r r __floor__ s zFraction.__floor__c C s | j | j S )N)r r! )r
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| }|dkrtt| | |S tt| | | S d S )Nr r r r )divmodr r! r7 r round)r- ZndigitsrN Z remainderZshiftr r r __round__ s zFraction.__round__c C sP t | jtd t}|s t}nt| j| t }| dkr:|n| }|dkrLdS |S )Nr r r )powr _PyHASH_MODULUS _PyHASH_INFr7 r )r- ZdinvZhash_resultr r r __hash__! s zFraction.__hash__c C s t |tkr | j|ko | jdkS t|tjrD| j|jkoB| j|jkS t|tj r`|j
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zFraction._richcmpc C s | j |tjS )N)rm operatorlt)r
r r r r __lt__b s zFraction.__lt__c C s | j |tjS )N)rm rn gt)r
r r r r __gt__f s zFraction.__gt__c C s | j |tjS )N)rm rn le)r
r r r r __le__j s zFraction.__le__c C s | j |tjS )N)rm rn ge)r
r r r r __ge__n s zFraction.__ge__c C s
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r r r __bool__r s zFraction.__bool__c C s | j t| ffS )N)r0 r$ )r- r r r
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