
    \h                     |    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
JrJrJr  S SKJrJrJr  S rS rS	 rS
 rg)    )diff)	conjugate)sqrt)cossin)mathieucmathieucprimemathieusmathieusprime)aqzc                     [        [        [        [        [        5      [        5      (       d   e[        [        S[        5      [        [        [        5      [        -  5      :X  d   e[        [        [        [        [        5      5      [        [        [        5      [        [        5      [        [        5      5      :X  d   e[        [        [        [        [        5      [        5      [        [        [        [        5      :X  d   eg Nr   )

isinstancer
   r   r   r   r   r   r   r   r        b/var/www/auris/envauris/lib/python3.13/site-packages/sympy/functions/special/tests/test_mathieu.pytest_mathieusr   
   s    hq!Q'2222Aq!DGAI...XaA&'8IaL)A,PYZ[P\+]]]]Aq!1%q!Q)????r   c                  X   [        [        [        [        [        5      [        5      (       d   e[        [        S[        5      [        [        [        5      [        -  5      :X  d   e[        [        [        [        [        5      [        5      [        [        [        [        5      :X  d   eg r   )	r   r   r   r   r   r   r   r   r	   r   r   r   test_mathieucr      sh    hq!Q'2222Aq!DGAI...Aq!1%q!Q)????r   c                     [        [        [        [        [        5      [        5      (       d   e[        [        S[        5      [        [        5      [        [        [        5      [        -  5      -  :X  d   e[        [        [        [        [        5      [        5      [        * S[        -  [        S[        -  5      -  -   [        [        [        [        5      -  :X  d   eg Nr      )	r   r   r   r   r   r   r   r   r
   r   r   r   test_mathieusprimer      s    mAq!,m<<<<Aq!T!WSa^%;;;;aA&*rAaCAaCL/@(1aQRBS.SSSSr   c                     [        [        [        [        [        5      [        5      (       d   e[        [        S[        5      [        [        5      * [        [        [        5      [        -  5      -  :X  d   e[        [        [        [        [        5      [        5      [        * S[        -  [        S[        -  5      -  -   [        [        [        [        5      -  :X  d   eg r   )
r   r	   r   r   r   r   r   r   r   r   r   r   r   test_mathieucprimer      s    mAq!,m<<<<Aq!d1gXc$q'!)n%<<<<aA&*rAaCAaCL/@(1aQRBS.SSSSr   N)sympy.core.functionr   $sympy.functions.elementary.complexesr   (sympy.functions.elementary.miscellaneousr   (sympy.functions.elementary.trigonometricr   r   )sympy.functions.special.mathieu_functionsr   r	   r
   r   	sympy.abcr   r   r   r   r   r   r   r   r   r   <module>r$      s5    $ : 9 ? h h  @@
T
Tr   