
    tKgF                     T    d Z 	 ddlZd Zd Zd Zedk(  r e        yy# e$ r Y w xY w)z-Precompute series coefficients for log-Gamma.    Nc                     t        j                  d      5  t        d| dz         D cg c])  }t        j                  d|z        d|z  d|z  dz
  z  z  + }}d d d        |S c c}w # 1 sw Y   S xY w)Nd         )mpmathworkdpsrange	bernoulli)Nncoeffss      f/home/alanp/www/video.onchill/myenv/lib/python3.12/site-packages/scipy/special/_precompute/loggamma.pystirling_seriesr   	   sz    		 AE?,*a ""1Q3'1acAg7* 	 , 
 M, 
 Ms   A'.A"A'"A''A1c                 $   g }t        j                  d      5  |j                  t         j                          t	        d| dz         D ]/  }|j                  d|z  t        j
                  |      z  |z         1 	 d d d        |S # 1 sw Y   |S xY w)Nr   r   r   )r   r   appendeulerr	   zeta)r   r   r   s      r   taylor_series_at_1r      st    F		v||m$q!a%AMM2'&++a.023 ! 
 M	 
 Ms   A"BBc            	         t        t               t                t        d      d d d   D  cg c]  } t        j                  | ddd       }} t        d      d d d   D  cg c]  } t        j                  | ddd       }} t        d       t        d       t        d	j                  |             t                t        d
       t        d       t        d	j                  |             t                y c c} w c c} w )N   r      r   )	min_fixed	max_fixed   zStirling series coefficientsz----------------------------
zTaylor series coefficientsz--------------------------)print__doc__r   r   nstrr   join)xstirling_coeffstaylor_coeffss      r   mainr$      s    	'N	G / 24R4 8: 81 {{1bAC 8  : 14TrT:<: [[B!qA:  <	
()	
()	$))O
$%	G	
&'	
&'	$))M
"#	G:<s    C9" C>__main__)r   r   ImportErrorr   r   r$   __name__     r   <module>r*      sH    3	
" zF K  		s    ''