a
    t@8b	                     @   s@   d dl mZ d dlmZ d dlmZ d dlmZmZ dd Z	dS )    )approximants)symbolsbinomial)	fibonaccilucasc                     s   t d\ } dd tdD }dd t|D dd d  d  d d	  d
   d  d   d
  gkspJ dd tdD }dd t|D d	d d
  d	  d	 d  d
  d d   d
  gksJ dd tdD }dd t|D dd d  d  d d  d
  d  d d d  d   d  d d  d   d d d  d   d   d  d   d  d	 d d   d   d
  gksJ  fddtdD }t|| dd}t|d
ksJ t|d |  d
  d
  ksJ d S )!Nzx,tc                 S   s   g | ]}t |qS  r   .0kr   r   Clib/python3.9/site-packages/sympy/series/tests/test_approximants.py
<listcomp>	       z%test_approximants.<locals>.<listcomp>   c                 S   s   g | ]}|qS r   r   r   er   r   r   r   
   r               c                 S   s    g | ]}t |t|d   qS r   )r   r   r
   r   r   r   r      r   c                 S   s   g | ]}|qS r   r   r   r   r   r   r      r   c                 S   s   g | ]}t |d  qS r   r	   r
   r   r   r   r      r   c                 S   s   g | ]}|qS r   r   r   r   r   r   r      r      i#   	   %               2   ?   4      c                    s,   g | ]$ t  fd dt d D qS )c                 3   s    | ]}t  ||  V  qd S )Nr   )r   i)r   xr   r   	<genexpr>   r   z/test_approximants.<locals>.<listcomp>.<genexpr>r   )sumrange)r   r'   )r   r   r      r   T)Zsimplify)r   r*   r   next)tgpyr   r+   r   test_approximants   s(    :6D.4
r2   N)
Zsympy.seriesr   Zsympy.core.symbolr   Z(sympy.functions.combinatorial.factorialsr   Z%sympy.functions.combinatorial.numbersr   r   r2   r   r   r   r   <module>   s   