a
    SG5d                     @   s  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mZmZmZmZ d dlmZmZmZmZmZmZ d dlmZ edZeeedd	 Zeeed
d	 Zeeedd	 Zeeedd	 Zeeedd	 Zeeedd	 Zeeedd	 Zeeedd	 Zeeedd	 Zeeedd	 Zeeedd	 Zeeedd	 Zeeedd	 Zeeedd	 Zeeedd	 Zee	e	dd	 Zee	edd	 Zeeedd	 ZdS )    )S)sympify)MinMax)EmptySet	FiniteSetIntersectionInterval
ProductSetSetUnionUniversalSet)ComplexRegionNaturals	Naturals0Integers	RationalsReals)
Dispatcher
union_setsc                 C   s   | S N abr   r   U/var/www/html/django/DPS/env/lib/python3.9/site-packages/sympy/sets/handlers/union.py_   s    r   c                 C   s   | S r   r   r   r   r   r   r      s    c                 C   s   | S r   r   r   r   r   r   r      s    c                 C   s   | S r   r   r   r   r   r   r      s    c                 C   s   | S r   r   r   r   r   r   r      s    c                 C   s   | S r   r   r   r   r   r   r   "   s    c                 C   s&   t | |}|| kr|S ||kr"| S d S r   )r   )r   r   	intersectr   r   r   r   &   s
    
c                 C   s`   | tjrt|}|jr\| js:|js:tt| j|jS | jr\|jr\tt| j|jddS d S )NT)polar)		is_subsetr   r   r   	from_realis_ComplexRegionr   r   setsr   r   r   r   r   .   s    
c                 C   s   |S r   r   r   r   r   r   r   =   s    c                 C   s   | S r   r   r   r   r   r   r   B   s    c                 C   sx   | | r| S t|jt| jkr&d S t| jdkrt| j\}}|j\}}||kr^|t|| S ||krtt||| S d S )N   )r   lenr"   r   )r   r   a1a2b1b2r   r   r   r   F   s    


c                 C   s   | | r| S d S r   )r   r   r   r   r   r   U   s    
c                 C   s   |  |rt| j|j}t| j|j}||k sF||krJ|| vrJ||vrJd S t| j|j}t| j|j}| j|ksv| jo|j|kp|j}| j|ks| jo|j|kp|j}t||||S d S r   )_is_comparabler   endr   start	left_open
right_openr	   )r   r   r*   r+   r,   r-   r   r   r   r   [   s(    
c                 C   s   t jS r   )r   r   r   r   r   r   r   n   s    c                 C   s   | j o"t|| jtju o"| jj}| joFt|| jtju oF| jj}|sP|r| j o^| j|v}| jon| j|v}t	| j| j||}||hS d S r   )
r,   r   containsr+   r   true	is_finiter-   r*   r	   )r   r   Zopen_left_in_b_and_finiteZopen_right_in_b_and_finite	open_left
open_rightZnew_ar   r   r   r   r   s     c                 C   s   t | j|jB  S r   )r   	_elementsr   r   r   r   r      s    c                    s4   t  fdd| D r0t fdd| D   hS d S )Nc                 3   s   | ]}  |d kV  qdS )TNr.   .0xr   r   r   	<genexpr>       z_.<locals>.<genexpr>c                    s   g | ]}  |d kr|qS )Tr4   r5   r8   r   r   
<listcomp>   r:   z_.<locals>.<listcomp>)anyr   r   r   r8   r   r      s    c                 C   s   d S r   r   r   r   r   r   r      s    N)Zsympy.core.singletonr   sympy.core.sympifyr   (sympy.functions.elementary.miscellaneousr   r   sympy.sets.setsr   r   r   r	   r
   r   r   r   sympy.sets.fancysetsr   r   r   r   r   r   sympy.multipledispatchr   r   registerr   r   r   r   r   <module>   sT   ( 
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