
    ^MhF                     b    d Z 	 ddlZn# e$ r Y nw xY wd Zd Zd Zedk    r e             dS dS )z-Precompute series coefficients for log-Gamma.    Nc                     t          j        d          5  d t          d| dz             D             }d d d            n# 1 swxY w Y   |S )Nd   c                 Z    g | ](}t          j        d |z            d |z  d |z  dz
  z  z  )S )      )mpmath	bernoulli).0ns     b/var/www/html/test/jupyter/venv/lib/python3.11/site-packages/scipy/special/_precompute/loggamma.py
<listcomp>z#stirling_series.<locals>.<listcomp>   sL     , , , "1Q3''1acAg7 , , ,    r   )r   workdpsrange)Ncoeffss     r   stirling_seriesr   	   s    			 , ,, , AE??, , ,, , , , , , , , , , , , , , , Ms   ?AAc                 0   g }t          j        d          5  |                    t           j                    t	          d| dz             D ]2}|                    d|z  t          j        |          z  |z             3	 d d d            n# 1 swxY w Y   |S )Nr   r   r   )r   r   appendeulerr   zeta)r   r   r   s      r   taylor_series_at_1r      s    F			 4 4v|m$$$q!a% 	4 	4AMM2'&+a..023333	44 4 4 4 4 4 4 4 4 4 4 4 4 4 4 Ms   A'BBBc                  
   t          t                     t                       d t          d          d d d         D             } d t          d          d d d         D             }t          d           t          d           t          d                    |                      t                       t          d	           t          d
           t          d                    |                     t                       d S )Nc                 >    g | ]}t          j        |d dd          S    r   )	min_fixed	max_fixedr   nstrr
   xs     r   r   zmain.<locals>.<listcomp>   s;     : : : {1bACCC : : :r      r   c                 >    g | ]}t          j        |d dd          S r   r    r"   s     r   r   zmain.<locals>.<listcomp>   s;     < < < [B!qAAA < < <r      zStirling series coefficientsz----------------------------
zTaylor series coefficientsz--------------------------)print__doc__r   r   join)stirling_coeffstaylor_coeffss     r   mainr-      s    	'NNN	GGG: : / 2 244R4 8: : :O< <044TTrT:< < <M	
()))	
()))	$))O
$
$%%%	GGG	
&'''	
&'''	$))M
"
"###	GGGGGr   __main__)r)   r   ImportErrorr   r   r-   __name__ r   r   <module>r2      s    3 3	MMMM 	 	 	D	      " zDFFFFF s   	 