
    sg                         d Z ddlmZmZmZmZmZmZmZmZm	Z	m
Z
 ddlmZ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mZmZmZmZmZ dd	lmZmZ dd
lmZmZ ddlmZ ddl m Z  ddl!m!Z!m"Z" g dZ#y)zThe module helps converting SymPy expressions into shorter forms of them.

for example:
the expression E**(pi*I) will be converted into -1
the expression (x+x)**2 will be converted into 4*x**2
   )
simplify	hypersimphypersimilar
logcombineseparatevarsposify
besselsimpkroneckersimpsignsimp	nsimplify)FUfu)
sqrtdenest)cse)epathEPath)hyperexpand)collectrcollectradsimpcollect_constfractionnumerdenom)trigsimpexptrigsimp)powsimp	powdenest)combsimp)	gammasimp)ratsimpratsimpmodprime) r   r   r   r   r   r   r	   r
   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r    r!   r"   N)$__doc__r   r   r   r   r   r   r	   r
   r   r   r   r   r   cse_mainr   
epathtoolsr   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r    r!   r"   __all__     J/var/www/html/venv/lib/python3.12/site-packages/sympy/simplify/__init__.py<module>r*      sI       "  $ $ V V V + '    -r(   