o
    GZh                     @   s\   d dl mZ d dlmZ d dlmZ d dlmZ dd Zdd Z	d	d
 Z
dd Zdd ZdS )    )Matrix)Rational)symbols)solvec                  C   s   t g dg dg dg dg} |  }|d t g dks J |d t g dks,J |d	 t g d
ks8J t|dks@J t j| g|R   |ksOJ d S )N      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   columnspacelenZhstackmbasis r   R/var/www/auris/lib/python3.10/site-packages/sympy/matrices/tests/test_subspaces.pytest_columnspace_one   s   "r    c                  C   s   t g dg dg dg dg} |  }|d t g dgks!J |d t g dgks.J |d t g d	gks;J t|d
ksCJ d S )Nr   r
   r   r   r   r   )r   r   r   r   r   r   )r   r   r   r	   r	   r   )r   Zrowspacer   r   r   r   r   test_rowspace   s   r!   c                  C   s   t g dg dg dg dg} |  }|d t g dks J |d t g dks,J td	d
 | |d  D s;J tdd
 | |d  D sJJ d S )Nr   r
   r   r   r   )r   r   r   r   r   r   )r   r   r   r   r   c                 s       | ]}|j V  qd S Nis_zero.0er   r   r   	<genexpr>.       z%test_nullspace_one.<locals>.<genexpr>c                 s   r"   r#   r$   r&   r   r   r   r)   /   r*   )r   	nullspaceallr   r   r   r   test_nullspace_one$   s   "r-   c                  C   s  t } tg dg dg}| \}}|tdd| d d | dd gdd| dd | d	d ggks5J tg d
g dg dg dg dg}|| d  tdddgd ks[J tg dg dg dg dg}| \}}|tg dg ddddddd| dd gg dgksJ | }|d tg dksJ |d tg dksJ |d tg dksJ |d tddddd| dd dgksJ tddgddgddgg}| sJ d S )N)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   r   r   r	   )r   r   r   r   r   r   r   )r   r2   r   r   r   r   r   )r   	   r   r   r   r   r   )r   r   r   r   r   r4   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   r   r   r   r   r   )r   r   r   r   r   r   r   r   r   r   )r   r   Zrrefr+   )RMouttmpr   r   r   r   test_nullspace_second1   sB    &
*r9   c            
      C   s  t g dg dg dg dg} |  }|d t g dks J |d t g dks,J |d	 t g d
ks8J td\}}}}}t |||||g}tt|D ]}| | ||  }	tt|	|dkseJ qP|  t|kspJ t|  t|   | jksJ d S )Nr   r
   r   r   r   r   r   r   r   r   z	a b c d e)	r   r   r   ranger   r   Zrankr+   cols)
r6   r   abcdr(   Xieqr   r   r   test_columnspace_secondX   s    &rC   N)Zsympy.matricesr   Zsympy.core.numbersr   Zsympy.core.symbolr   Zsympy.solversr   r    r!   r-   r9   rC   r   r   r   r   <module>   s    '