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zContext.__init__c C s� t |t�std| ��|dkr<||kr�td||||f ��nJ|dkrb||k r�td||||f ��n$||k sr||kr�td||||f ��t�| ||�S )Nz%s must be an integer�-infz %s must be in [%s, %d]. got: %sr� z %s must be in [%d, %s]. got: %sz %s must be in [%d, %d]. got %s)rc rU rv rp ra � __setattr__)r0 �namerx ZvminZvmaxr) r) r+ �_set_integer_checkT s
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_regard_flags� s zContext._regard_flagsc C s t | j| j d �S ra )rU r@ rE r� r) r) r+ r� � s z
Context.Etinyc C s t | j| j d �S ra )rU rF rE r� r) r) r+ r� � s z Context.Etopc C s | j }|| _ |S r( )rD )r0 r� rD r) r) r+ rH � s zContext._set_roundingrQ c C sj t |t�r*||�� ks d|kr*| �td�S t|| d�}|�� r`t|j�| j | j
kr`| �td�S |� | �S )NrR zAtrailing or leading whitespace and underscores are not permitted.rK z diagnostic info too long in NaN) rc rd rf rh r r r� rj r; rE r� r� )r0 rh r� r) r) r+ �create_decimal� s � �zContext.create_decimalc C s t �|�}|�| �S r( )r ru r� )r0 r� r� r) r) r+ �create_decimal_from_float s
z!Context.create_decimal_from_floatc C s t |dd�}|j| d�S rS )r� r� �r0 r1 r) r) r+ rl ! s z Context.absc C s8 t |dd�}|j|| d�}|tkr0td| ��n|S d S �NTr� rK � Unable to convert %s to Decimal)r� r� r� rv �r0 r1 r{ r� r) r) r+ �add6 s
z Context.addc C s t |�| ��S r( )rd r� r� r) r) r+ �_applyK s zContext._applyc C s t |t�std��|�� S )Nz,canonical requires a Decimal as an argument.)rc r rv rR r� r) r) r+ rR N s
zContext.canonicalc C s t |dd�}|j|| d�S rS )r� r� �r0 r1 r{ r) r) r+ r� [ s ! zContext.comparec C s t |dd�}|j|| d�S rS )r� rT r� r) r) r+ rT s zContext.compare_signalc C s t |dd�}|�|�S r� )r� rO r� r) r) r+ rO � s zContext.compare_totalc C s t |dd�}|�|�S r� )r� rX r� r) r) r+ rX � s zContext.compare_total_magc C s t |dd�}|�� S r� )r� r� r� r) r) r+ r� � s
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zContext.copy_decimalc C s t |dd�}|�� S r� )r� r� r� r) r) r+ r� � s
zContext.copy_negatec C s t |dd�}|�|�S r� )r� rY r� r) r) r+ rY � s zContext.copy_signc C s8 t |dd�}|j|| d�}|tkr0td| ��n|S d S r� )r� r� r� rv r� r) r) r+ �divide s
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zContext.divide_intc C s8 t |dd�}|j|| d�}|tkr0td| ��n|S d S r� )r� r� r� rv r� r) r) r+ r� B s
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zContext.is_canonicalc C s t |dd�}|�� S r� )r� r] r� r) r) r+ r] � s zContext.is_finitec C s t |dd�}|�� S r� )r� rA r� r) r) r+ rA � s zContext.is_infinitec C s t |dd�}|�� S r� )r� r� r� r) r) r+ r� � s
zContext.is_nanc C s t |dd�}|j| d�S rS )r� r` r� r) r) r+ r` � s zContext.is_normalc C s t |dd�}|�� S r� )r� r� r� r) r) r+ r� � s zContext.is_qnanc C s t |dd�}|�� S r� )r� rb r� r) r) r+ rb � s zContext.is_signedc C s t |dd�}|�� S r� )r� r� r� r) r) r+ r� � s
zContext.is_snanc C s t |dd�}|j| d�S rS )r� rc r� r) r) r+ rc s zContext.is_subnormalc C s t |dd�}|�� S r� )r� rd r� r) r) r+ rd % s zContext.is_zeroc C s t |dd�}|j| d�S rS )r� rn r� r) r) r+ rn 6 s z
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Context.log10c C s t |dd�}|j| d�S rS )r� rr r� r) r) r+ rr h s z Context.logbc C s t |dd�}|j|| d�S rS )r� r� r� r) r) r+ r� � s zContext.logical_andc C s t |dd�}|j| d�S rS )r� r� r� r) r) r+ r� � s zContext.logical_invertc C s t |dd�}|j|| d�S rS )r� r� r� r) r) r+ r� � s zContext.logical_orc C s t |dd�}|j|| d�S rS )r� r� r� r) r) r+ r� � s zContext.logical_xorc C s t |dd�}|j|| d�S rS )r� r� r� r) r) r+ r� � s z Context.maxc C s t |dd�}|j|| d�S rS )r� r� r� r) r) r+ r� s zContext.max_magc C s t |dd�}|j|| d�S rS )r� r� r� r) r) r+ r� s z Context.minc C s t |dd�}|j|| d�S rS )r� r� r� r) r) r+ r� - s zContext.min_magc C s t |dd�}|j| d�S rS )r� r� r� r) r) r+ �minus> s z
Context.minusc C s8 t |dd�}|j|| d�}|tkr0td| ��n|S d S r� )r� r� r� rv r� r) r) r+ �multiplyO s
zContext.multiplyc C s t |dd�}|j| d�S rS )r� r� r� r) r) r+ r� o s zContext.next_minusc C s t |dd�}|j| d�S rS )r� r� r� r) r) r+ r� � s zContext.next_plusc C s t |dd�}|j|| d�S rS )r� r� r� r) r) r+ r� � s zContext.next_towardc C s t |dd�}|j| d�S rS )r� r? r� r) r) r+ r? � s zContext.normalizec C s t |dd�}|j| d�S rS )r� r� r� r) r) r+ r� � s / zContext.number_classc C s t |dd�}|j| d�S rS )r� r� r� r) r) r+ �plus s z Context.plusc C s: t |dd�}|j||| d�}|tkr2td| ��n|S d S r� )r� r; r� rv )r0 r1 r{ r r� r) r) r+ �power s
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Context.powerc C s t |dd�}|j|| d�S rS )r� r r� r) r) r+ r e s 7 zContext.quantizec C s t d�S r� r� r� r) r) r+ r� � s z
Context.radixc C s8 t |dd�}|j|| d�}|tkr0td| ��n|S d S r� )r� r� r� rv r� r) r) r+ r� � s
zContext.remainderc C s t |dd�}|j|| d�S rS )r� r� r� r) r) r+ r� � s zContext.remainder_nearc C s t |dd�}|j|| d�S rS )r� r� r� r) r) r+ r� � s zContext.rotatec C s t |dd�}|�|�S r� )r� rB r� r) r) r+ rB s zContext.same_quantumc C s t |dd�}|j|| d�S rS )r� r� r� r) r) r+ r� $ s zContext.scalebc C s t |dd�}|j|| d�S rS )r� r� r� r) r) r+ r� 7 s z
Context.shiftc C s t |dd�}|j| d�S rS )r� rL r� r) r) r+ rL U s z Context.sqrtc C s8 t |dd�}|j|| d�}|tkr0td| ��n|S d S r� )r� r� r� rv r� r) r) r+ �subtractu s
zContext.subtractc C s t |dd�}|j| d�S rS )r� r� r� r) r) r+ r� � s zContext.to_eng_stringc C s t |dd�}|j| d�S rS )r� r� r� r) r) r+ �
to_sci_string� s zContext.to_sci_stringc C s t |dd�}|j| d�S rS )r� rF r� r) r) r+ rF � s zContext.to_integral_exactc C s t |dd�}|j| d�S rS )r� r r� r) r) r+ r � s zContext.to_integral_value) NNNNNNNNN)N)rQ )N)Wr4 r5 r6 r� r� r� r� r� r� r� rM r� rG rL r� rh r� r� r� r� r� r� rH r� r� rl r� r� rR r� rT rO rX r� r� r� rY r� r� r� rV r r\ r] rA r� r` r� rb r� rc rd rn rq rr r� r� r� r� r� r� r� r� r� r� r� r� r� r? r� r� r� r r� r� r� r� rB r� r� rL r� r� r� rF r r� r) r) r) r+ r s� �
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z_WorkRep.__init__c C s d| j | j| jf S )Nz (%r, %r, %r)r� r� r) r) r+ r� s z_WorkRep.__repr__)N)r4 r5 r6 r� r� r� r) r) r) r+ rm � s
rm c C s� | j |j k r|}| }n| }|}tt|j��}tt|j��}|j td|| d � }||j d |k rpd|_||_ | jd|j |j 9 _|j |_ | |fS )Nr� r] r. r� )rV rj rd rU r� )r� r� rE Ztmpr� Ztmp_lenZ other_lenrV r) r) r+ r� s r� c C sb | dkr dS |dkr | d| S t t| ��}t|�t|�d�� }|| k rPd S | d| S d S )Nr& r� rQ )rd rl rj �rstrip)r8 r� Zstr_nZval_nr) r) r+ r' ( s r' c C sB | dks|dkrt d��d}||kr>||| | d? }}q |S )Nr& z3Both arguments to _sqrt_nearest should be positive.r. )rp )r8 r1 r{ r) r) r+ �
_sqrt_nearest= s r� c C s2 d|> | |? }}|d| |d @ |d@ |k S )Nr. r] r) )r* r� r{ r� r) r) r+ �_rshift_nearestL s r� c C s& t | |�\}}|d| |d@ |k S )Nr] r. )r� )r1 r{ r� r� r) r) r+ � _div_nearestT s r� r! c C s� | | }d}||kr(t |�|| > |ksD||krxt |�|| ? |krxt|| d> |t||t||� |� �}|d7 }q tdtt|�� d| � }t||�}t||�}t|d dd�D ] }t||�t|| |� }q�t|| |�S )Nr& r. �����r[ r� )rl r� r� r� rU rj rd r ) r* �M�Lr- �R�TZyshift�wr� r) r) r+ �_ilog\ s" �� �
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d| _ d S )NZ/23025850929940456840179914546843642076011014886)r| r� r) r) r+ r� � s z_Log10Memoize.__init__c C s� |dk rt d��|t| j�kr�d}d|| d }tttd| |�d��}|| d � d| krbql|d7 }q"|�d�d d� | _t| jd |d � �S )
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