U
    9%e                     @   s   d dl mZmZ d dl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 edd	d
\ZZZedeeZedeeZedeeZedeeZedeeZdd Zdd Zdd Zdd Z dd Z!dS )    )symbolsS)MatrixSymbolInverseMatPow
ZeroMatrix	OneMatrix)NonInvertibleMatrixErrorNonSquareMatrixError)eyeIdentity)raises)Q)refinezn m lT)integerABCDEc                   C   s  t tjttjfkstt tjttfks.tt tt	 jttfksHtt t	t jt
t
fksbtt t tksvtt t t tksttt t tt stt t t	t j t t	t kstt  tkstt t ttjksttt ttkstdtt  ttd ks0ttt  tjtj ksNtttt	  t sftt tt jddt tt kstt td tdkstt tdjddtdksttddjtdkstttttjt std S )N   F)Z
inv_expand)deep   )r   r   argsr   ZNegativeOneAssertionErrorshapenr   r   mZinversedoit
isinstancer   rowsr   Ir   r    r"   r"   l/var/www/html/Darija-Ai-API/env/lib/python3.8/site-packages/sympy/matrices/expressions/tests/test_inverse.pytest_inverse   s&    ""&"r$   c                   C   s    t tdd  t tdd  d S )Nc                   S   s   t ttjS N)r   r   r!   r"   r"   r"   r#   <lambda>0       z-test_inverse_non_invertible.<locals>.<lambda>c                   S   s   t ddjS )N   )r   r!   r"   r"   r"   r#   r&   1   r'   )r   r	   r"   r"   r"   r#   test_inverse_non_invertible/   s    r)   c                   C   s    t tjtttjkstd S r%   )r   r   r!   r   Z
orthogonalTr   r"   r"   r"   r#   test_refine3   s    r+   c                  C   s8   t ddd} tt| d tt| d ks4td S )Nr   r   )r   r   r   r   r   r   r"   r"   r#   $test_inverse_matpow_canonicalization7   s    r-   c                      s"   t ddd tt fdd d S )Nr   r      c                      s   t  S r%   )r   r"   r,   r"   r#   r&   >   r'   z&test_nonsquare_error.<locals>.<lambda>)r   r   r
   r"   r"   r,   r#   test_nonsquare_error<   s    r/   N)"Z
sympy.corer   r   Zsympy.matrices.expressionsr   r   r   r   r   Zsympy.matrices.commonr	   r
   Zsympy.matricesr   r   Zsympy.testing.pytestr   Zsympy.assumptions.askr   Zsympy.assumptions.refiner   r   r   lr   r   r   r   r   r$   r)   r+   r-   r/   r"   r"   r"   r#   <module>   s"   