o
    GZh                     @   s   d dl mZmZ d dlmZmZmZm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 d dlmZ d dlmZ d dlmZ edd	d
ZedeeZedeeZedddZdd Zdd Z dd Z!dd Z"dd Z#dS )    )Ssymbols)eyeonesMatrix
ShapeError)
Identity
MatrixExprMatrixSymbolDeterminantdetper
ZeroMatrix	Transpose	PermanentMatMul)	OneMatrix)raises)Q)refinenT)integerABC      c                  C   s   t ttts	J t tttrJ ttdd  ttddks#J ttddg ddks1J ttt } tt	dd  ttj
tu sGJ d S )Nc                   S   s   t tS N)r   r    r   r   `/var/www/auris/lib/python3.10/site-packages/sympy/matrices/expressions/tests/test_determinant.py<lambda>   s    ztest_det.<locals>.<lambda>r      	r!   r      r   r!   r   r#      r#      c                   S   
   t tjS r   )r   r   Oner   r   r   r   r          
 )
isinstancer   r   r	   r   r   r   r   r   	TypeErrorarg_r   r   r   test_det   s   r.   c                   C   s   t ttdks
J t tttdksJ t tttttttks%J t tdddks0J t tdddks;J t ttt tksGJ ttt	dt	dj
dddksZJ d S )Nr!   r   r#   T)deep)r   r   r   r   r   r   r   r   r   r   doitr   r   r   r   test_eval_determinant    s    *r1   c                   C   sx   t ttttdksJ t ttttdksJ t ttttdks*J t ttttttks:J d S )Nr!   r   )r   r   r   r   Z
orthogonalZsingularZunit_triangularnormalr   r   r   r   test_refine*   s   $r3   c                  C   s<   t t} t t}| jsJ |jsJ | | ||  ksJ d S r   )r   r   r   Zis_commutative)Zdet_aZdet_br   r   r   test_commutative1   s
   

r4   c                  C   s   t ttts	J t tttrJ t tttsJ ttdd dks(J ttt } ttddg ddks<J t	t
dd  ttjtu sLJ d S )Nr      r"   g   c                   S   r&   r   )r   r   r'   r   r   r   r   r    @   r(   z test_permanent.<locals>.<lambda>)r)   r   r   r	   r   r   r0   r   r   r   r*   r+   r,   r   r   r   test_permanent9   s   r7   N)$Z
sympy.corer   r   Zsympy.matricesr   r   r   r   Zsympy.matrices.expressionsr   r	   r
   r   r   r   r   r   r   r   Z"sympy.matrices.expressions.specialr   Zsympy.testing.pytestr   Zsympy.assumptions.askr   Zsympy.assumptions.refiner   r   r   r   r   r.   r1   r3   r4   r7   r   r   r   r   <module>   s     0
