
    gC	                         d dl mZ d dlmZ d dlmZ d dlmZ d dlm	Z	m
Z
 d dlmZ d dlmZmZ d dlmZ d d	lmZ d d
lmZ d Zd ZdS )    )	PoleError)oo)S)Symbol)explog)sqrt)cossin)Ox)raisesc                     t          dt          z  t          t                     z             t          dt          z            z
  } |                     t                    ddt          dz  z  z  ddt          dz  z  z  z
  dz   t	          t          dz  t          t
          f          z   t          t                     z  k    sJ t          t                    t          dt          z  t          t                     z             t          dt          z            z
  z  } |                     t          d          ddt          dz  z  z  ddt          dz  z  z  z   dt          z  z   dz   t	          t          d	z  t          t
          f          z   k    sJ t          t          t                    ddt          z  z
  z            } |                     t                    t          t          t                    ddt          z  z
  z            k    sJ t          t          dt          z  t          t          t                               z                       t          t          dt          z                      z
  } |                     t          d          d
dt          dz  z  z  dt          z  z   dz   t	          t          d	z  t          t
          f          z   t          t          t                               z  k    sJ d } |t                     |t          d |t                    z  z
            z  } |                     t          d          dt          t          t          t                    z             t          t          t          t                                         z  z   t          t                     dz  t          j        z
  t          t          t          t                    z             z  t          dt          z  dt          t                    z  z             dz  z   t          dt          t          t                              z            z  z   t	          t          dt          t          t                              z            t          t
          f          z   k    sJ t          t          t                              t          t          dt          z  dt          t          t                              z  z                       t          t          dt          z                      z
  z  } |                     t          d          d
dt          dz  z  z  dt          z  z   dz   t	          t          d	z  t          t
          f          z   k    sJ t          dd          }t          |          t          |          dz  z  t          t          t          |                    t          t          |                    dz  z  t          t          t          t          |                              t          t          t          |                              dz  z            z            z  |z  } |                     |          t          t          t          t          t          |                              t          t          t          |                              dz  z            t          t          |                    z  t          t          |                    dz  z            t          |          dz  z  t          |          z  k    sJ d S )N            )n      c                 T    t          t          t          |                               S N)r   r   s    [/var/www/html/ai-engine/env/lib/python3.11/site-packages/sympy/series/tests/test_aseries.py<lambda>ztest_simple.<locals>.<lambda>!   s    #c#a&&kk""     r   T)integer)r   r   r   aseriesr   r   r   Halfr   r	   r   )ee3r   s      r   test_simpler'      s    	AaC#qb''MS1XX%A99Q<<Ar!Q$wK!Qq!tV*4q81QWq"g;N;NNPSUVTVPWPWWWWWWA#acCGGm$$s1Q3xx/0A99Q!91QT6
Q!Q$Z 7!A# = AAa"gPQSUwDWDW WWWWWCFFa!A#gA99Q<<3s1vvQqS1222222 	C!c3q66'll"##$$s3qs88}}4A99Q!9Qq!tVqs!2Q!61r7QG9L9L!LcSVWXSYSYRYll ZZZZZ	"	"B
1bbQrr!uuWooA99Q!9CCFF
OOCSVV4E4E$E EQ	AF"CCFF
OO3!A##a&&.!!!#$%(CAKK%8%89!9;<SCAKK=P=PSTVXRY;Z;Z![ [ [ [ [ 	CFFs3qsQs3q66{{]23344s3qs88}}DEA99Q!9AadFac 1A 5!b'Ar78K8K KKKKKsD!!!A	aQ	3tCFF||CAKKN:3tCAKK?P?PQTUXY\]^Y_Y_U`U`QaQacdQd?d;e;eeff	fhiiA99Q<<DSVV%%c#c!ff++&6&6&99::4A<<GCPQFFUVVWWX[\]X^X^`aXaabfghbibiij j j j j jr   c                  $    t          dt          z  t          t                     z                                   t          dd          t          dt          z             t          dt          z            z  dz  t          t                     t	          dt          z            z  z   t          dt          z            z   t          t          dt          z            t          t          f          z   k    sJ t          t                    t	          t          t                               z                        t          d          t          d	t          z            t          t                    z  d
z  t          dt          z            t          t                    z  dz  z
  t          t                    z   t          t          dt          z            t          t          f          z   k    sJ t          t           fd           d S )Nr   r   T)r   hirr    r   r!   )r)   r   r   r   c                  8                          t                    S r   )r#   r   r%   s   r   r   z#test_hierarchical.<locals>.<lambda>8   s    aiill r   )	r   r   r   r#   r
   r   r   r   r   r+   s   @r   test_hierarchicalr,   0   s   AaC#qb''MA99Q!9&&3r!t99*S1XX*=a*?GGC!HH+"1Q3xx+(*+C1II2w*?*?+@ @ @ @ @ 	AS!WWA99QD9!!SAYYs1vv%5b%81IIc!ffQ&!$Q&(*+C1II2w*?*?&@ @ @ @ @
9****+++++r   N)sympy.core.functionr   sympy.core.numbersr   sympy.core.singletonr   sympy.core.symbolr   &sympy.functions.elementary.exponentialr   r   (sympy.functions.elementary.miscellaneousr	   (sympy.functions.elementary.trigonometricr
   r   sympy.series.orderr   	sympy.abcr   sympy.testing.pytestr   r'   r,    r   r   <module>r8      s    ) ) ) ) ) ) ! ! ! ! ! ! " " " " " " $ $ $ $ $ $ = = = = = = = = 9 9 9 9 9 9 ? ? ? ? ? ? ? ?                   ' ' ' ' ' ' j  j  jF, , , , ,r   