a
    kh                     @   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sXJ |d	 t g d
kspJ t|dksJ t j| g|R   |k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   columnspacelenZhstackmbasis r   Q/var/www/auris/lib/python3.9/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sBJ |d t g dgks\J |d t g d	gksvJ t|d
ksJ 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sXJ td	d
 | |d  D svJ tdd
 | |d  D sJ d S )Nr   r
   r   r   r   )r   r   r   r   r   r   )r   r   r   r   r   c                 s   s   | ]}|j V  qd S Nis_zero.0er   r   r   	<genexpr>.       z%test_nullspace_one.<locals>.<genexpr>c                 s   s   | ]}|j V  qd S 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sjJ tg d
g dg dg dg dg}|| d  tdddgd ksJ 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sJ | }|d tg dks@J |d tg dksZJ |d tg dkstJ |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   r1   r   r   r   r   r   )r   	   r   r   r   r   r   )r   r   r   r   r   r3   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     &
,r8   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sXJ |d	 t g d
kspJ td\}}}}}t |||||g}tt|D ]*}| | ||  }	tt|	|dksJ q|  t|ksJ t|  t|   | jksJ 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)
r5   r   abcdr'   Xieqr   r   r   test_columnspace_secondX   s     rB   N)Zsympy.matricesr   Zsympy.core.numbersr   Zsympy.core.symbolr   Zsympy.solversr   r    r!   r,   r8   rB   r   r   r   r   <module>   s   '