o
    iN                     @   st   d dl mZ d dl mZ d dlmZmZmZmZmZm	Z	 d dl
mZ d dlmZmZ d dlmZ dd Zd	d
 ZdS )    )finite_diff)finite_diff_kauers)xyzmnw)pi)cossin)Sumc                   C   s|  t td dt  d tdt d ksJ t td dtd   dt  d tdtd  dt  d ks6J t td dt  d tdt d ksKJ t td dt  d tdt d ks`J t ttttd tt tttd   ksyJ t ttttd tt tttd   ksJ t td dt  d tddt ksJ t td dt  d tddt d ksJ d S )N                     )	r   r   r   r   r	   r   r
   r   r    r   r   m/var/www/html/eduruby.in/lip-sync/lip-sync-env/lib/python3.10/site-packages/sympy/series/tests/test_kauers.pytest_finite_diff	   s   *B**22(0r   c                   C   s   t ttd tdtftd d ksJ t tttdtftd ks$J t ttt tdtftdtftd td  ks>J t tttd  tdtftdtftd d td  ks\J d S )Nr   r   )r   r   r   r   r   r   r   r   r   r   test_finite_diff_kauers   s   ( 4@r   N)Zsympy.series.kauersr   r   Z	sympy.abcr   r   r   r   r   r	   Zsympy.core.numbersr
   Z(sympy.functions.elementary.trigonometricr   r   Zsympy.concrete.summationsr   r   r   r   r   r   r   <module>   s     
