
    g                     ~    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
mZmZmZ d dlmZmZmZ d Zd Zd	 Zd
 ZdS )    )diff)	conjugate)sqrt)cossin)mathieucmathieucprimemathieusmathieusprime)aqzc                     t          t          t          t          t                    t                    sJ t          t          dt                    t          t          t                    t          z            k    sJ t          t          t          t          t                              t          t          t                    t          t                    t          t                              k    sJ t          t          t          t          t                    t                    t          t          t          t                    k    sJ d S Nr   )

isinstancer
   r   r   r   r   r   r   r   r        f/var/www/html/ai-engine/env/lib/python3.11/site-packages/sympy/functions/special/tests/test_mathieu.pytest_mathieusr   
   s    hq!Q''22222Aq!DGGAI....XaA&&''8IaLL)A,,PYZ[P\P\+]+]]]]]Aq!!1%%q!Q)?)???????r   c                     t          t          t          t          t                    t                    sJ t          t          dt                    t          t          t                    t          z            k    sJ t          t          t          t          t                    t                    t          t          t          t                    k    sJ d S r   )	r   r   r   r   r   r   r   r   r	   r   r   r   test_mathieucr      s    hq!Q''22222Aq!DGGAI....Aq!!1%%q!Q)?)???????r   c                  0   t          t          t          t          t                    t                    sJ t          t          dt                    t          t                    t          t          t                    t          z            z  k    sJ t          t          t          t          t                    t                    t           dt          z  t          dt          z            z  z   t          t          t          t                    z  k    sJ d S Nr      )	r   r   r   r   r   r   r   r   r
   r   r   r   test_mathieusprimer      s    mAq!,,m<<<<<Aq!!T!WWSa^^%;;;;;aA&&**rAaCAaCL/@(1aQRBSBS.SSSSSSSr   c                  2   t          t          t          t          t                    t                    sJ t          t          dt                    t          t                     t          t          t                    t          z            z  k    sJ t          t          t          t          t                    t                    t           dt          z  t          dt          z            z  z   t          t          t          t                    z  k    sJ d S r   )
r   r	   r   r   r   r   r   r   r   r   r   r   r   test_mathieucprimer      s    mAq!,,m<<<<<Aq!!d1ggXc$q''!)nn%<<<<<aA&&**rAaCAaCL/@(1aQRBSBS.SSSSSSSr   N)sympy.core.functionr   $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$      s    $ $ $ $ $ $ : : : : : : 9 9 9 9 9 9 ? ? ? ? ? ? ? ? h h h h h h h h h h h h          @ @ @@ @ @
T T T
T T T T Tr   