
    \hI	                         S SK Jr  S SKJr  S SKJr  S SKJrJr  S SK	J
r
  S SKJrJr  S SKJr  S SKJr  S S	KJr  S
 rS rg)    )	PoleError)oo)Symbol)explog)sqrt)cossin)Ox)raisesc                  :   [        S[        -  [        [        * 5      -   5      [        S[        -  5      -
  n U R                  [        5      SS[        S-  -  -  SS[        S-  -  -  -
  S-   [	        [        S-  [        [
        45      -   [        [        * 5      -  :X  d   e[        [        5      [        S[        -  [        [        * 5      -   5      [        S[        -  5      -
  -  n U R                  [        SS9SS[        S-  -  -  SS[        S-  -  -  -   S[        -  -   S-   [	        [        S	-  [        [
        45      -   :X  d   e[        [        [        5      SS[        -  -
  -  5      n U R                  [        5      [        [        [        5      SS[        -  -
  -  5      :X  d   e[        [        S[        -  [        [        [        5      * 5      -   5      5      [        [        S[        -  5      5      -
  n U R                  [        SS9S
S[        S-  -  -  S[        -  -   S-   [	        [        S	-  [        [
        45      -   [        [        [        5      * 5      -  :X  d   eS nU" [        5      U" [        SU" [        5      -  -
  5      -  n U R                  [        SS9S[        S[        -  S[        [        5      -  -   5      [        S[        [        [        5      5      -  5      -  S-  -   [        S[        -  [        [        5      -   5      [        S[        [        [        5      5      -  5      -  S-  -
  [        [        [        [        5      -   5      [        S[        [        [        5      5      -  5      -  S-  -
  [        [        [        [        5      -   5      [        [        [        [        5      5      * 5      -  -   [	        [        S[        [        [        5      5      -  5      [        [
        45      -   :X  d   e[        [        [        5      5      [        [        S[        -  S[        [        [        5      5      -  -   5      5      [        [        S[        -  5      5      -
  -  n U R                  [        SS9S
S[        S-  -  -  S[        -  -   S-   [	        [        S	-  [        [
        45      -   :X  d   e[        SSS9n[        U5      [        U5      S-  -  [        [        [        U5      5      [        [        U5      5      S-  -  [        [        [        [        U5      5      5      [        [        [        U5      5      5      S-  -  5      -  5      -  U-  n U R                  U5      [        [        [        [        [        U5      5      5      [        [        [        U5      5      5      S-  -  5      [        [        U5      5      -  [        [        U5      5      S-  -  5      [        U5      S-  -  [        U5      -  :X  d   eg )N            )n      c                 <    [        [        [        U 5      5      5      $ N)r   r   s    W/var/www/auris/envauris/lib/python3.13/site-packages/sympy/series/tests/test_aseries.py<lambda>test_simple.<locals>.<lambda>    s    #c#a&k"    r   T)integer)	r
   r   r   aseriesr   r   r   r   r   )ee3r   s      r   test_simpler&      s    	AaC#qb'MS1X%A99Q<Ar!Q$wK!Qq!tV*4q81QWq"g;NNPSUVTVPWWWWWA#acCGm$s1Q3x/0A99Q!91QT6
Q!Q$Z 7!A# = AAa"gPQSUwDW WWWWCFa!A#gA99Q<3s1vQqS12222 	C!c3q6'l"#$s3qs8}4A99Q!9Qq!tVqs!2Q!61r7QG9L!LcSVWXSYRYl ZZZZ	"B
1bQr!uWoA99Q!9C!aAh$7Bs3q6{N8K$KA$M M!A#A,Bs3q6{N 33A5!68;AAJBsSVWXSY{NH[8[\]8]!^!c!f*oc3s1v;,//!023C3s1v;4G!R2Q!R R R R 	CFs3qsQs3q6{]234s3qs8}DEA99Q!9AadFac 1A 5!b'Ar78K KKKKsD!A	aQ	3tCF|CAKN:3tCAK?PQTUXY\]^Y_U`QacdQd?d;eef	fhiiA99Q<DSV%c#c!f+&6&99:4A<GCPQFUVVWX[\]X^`aXaabfghbiij j jr   c                  :  ^  [        S[        -  [        [        * 5      -   5      m T R                  [        SSS9[        S[        -  5      * [        S[        -  5      -  S-  [        [        * 5      [	        S[        -  5      -  -   [        S[        -  5      -   [        [        S[        -  5      [        [        45      -   :X  d   e[        [        5      [	        [        [        * 5      5      -  m T R                  [        SS9[        S	[        -  5      [        [        5      -  S
-  [        S[        -  5      [        [        5      -  S-  -
  [        [        5      -   [        [        S[        -  5      [        [        45      -   :X  d   e[        [        U 4S j5        g )Nr   r   T)r   hirr    r   r!   )r(   r   r   r   c                  .   > T R                  [        5      $ r   )r#   r   r$   s   r   r   #test_hierarchical.<locals>.<lambda>7   s    aiilr   )	r
   r   r   r#   r	   r   r   r   r   r*   s   @r   test_hierarchicalr,   /   sI   AaC#qb'MA99Q!9&3r!t9*S1X*=a*?GC!H+"1Q3x+(*+C1I2w*?+@ @ @ @ 	AS!WA99QD9!SAYs1v%5b%81Ic!fQ&!$Q&(*+C1I2w*?&@ @ @ @
9*+r   N)sympy.core.functionr   sympy.core.numbersr   sympy.core.symbolr   &sympy.functions.elementary.exponentialr   r   (sympy.functions.elementary.miscellaneousr   (sympy.functions.elementary.trigonometricr	   r
   sympy.series.orderr   	sympy.abcr   sympy.testing.pytestr   r&   r,    r   r   <module>r7      s,    ) ! $ = 9 ?    ' jF,r   