o
    GZhM#                     @   s  d dl mZ d dlmZmZ d dlmZ d dlmZ d dl	m
Z
 d dlmZmZ d dlmZ d dlmZ d d	lmZ d d
l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'm(Z(m)Z) e#dZ*e#dZ+dd Z,dd Z-dd Z.dd Z/dS )    )Rational)EqNe)symbols)sympify)S)randomchoice)sqrt	randprimeMatrixlinear_eq_to_matrix)
_lp_primal_dualUnboundedLPErrorInfeasibleLPErrorlpminlpmax_m_abcd_simplexlinprog)import_module)raises)xyznumpyscipyc               
      sJ  t dt  dk t dt  dkdt t  dt  dk tdkt dktdkg} t t  dt  }tt||  }\}}|t|| ksGJ |||ksPJ | D ]}||dks]J qRtt  dt  dk t dt   dt  dkdt t  dt  dk tdkt dktdkg} t t  dt  }tt||  }\}}|t|| ksJ |||ksJ | D ]}||dksJ qtt  dt  d	k t dt   dt  d
kdt t  dt  dk tdkt dktdkg} d}t t  dt  | }tt||  }\}}|t|| ksJ |||ksJ | D ]}||dks,J q td }\}}	}
}||	 d|
  | dk d| |
 d|  dkd| |	 | dk|d|	  d|
  |  gdd |D  }} tt||  }\}}|t|| ksJ |d|d|	d|
d|difksJ tt  dt  d	k t dt   dt  d
kdt t  dt  dk gdd tt tfD  } t t  dt  }tt|| \}}|||ksJ | D ]}||dksJ qtt  tdt  d	k t dt   dt  d
kdt t  dt  dkt	t
 fdd tdk t	t fdd tdkt	t fdd tdk t	t
 fdd ttd t	t
 fdd ddd}ttt  tt ttdk g} t}tt||  }\}}|t|| ksJ |||ksJ | D ]}||dksJ qd S )N            r   T   
   x1 x2 x3 x4      c                 S      g | ]}|d kqS r    .0ir0   r0   O/var/www/auris/lib/python3.10/site-packages/sympy/solvers/tests/test_simplex.py
<listcomp>D       ztest_lp.<locals>.<listcomp>g       @g      @c                 S   r.   r/   r0   r1   r0   r0   r4   r5   N       c                      s    t tt t dt   gS )Nr&   )lpmaxr   r   r   r0   r1r2Zr3r0   r4   <lambda>Y   s     ztest_lp.<locals>.<lambda>c                         t tt gS Nr8   r9   r   r0   r;   r0   r4   r=   \       c                      s   t tt gS r?   r@   r0   )r;   r<   r0   r4   r=   ^   s    c                      r>   r?   r@   r0   rA   r0   r4   r=   b   rB   c                      r>   r?   r@   r0   rA   r0   r4   r=   f   rB   皙?c                    sT   fdd t d| d   fddt|D }t fddD }||fS )	Nc                     s>   t   k r	tdS dd tdD \} }t| |tddg S )Nr   c                 S   s   g | ]}t d dqS )r      r   r2   _r0   r0   r4   r5   l   s    zFtest_lp.<locals>.make_random_problem.<locals>.rand.<locals>.<listcomp>r"   rC   r-   )r   r   ranger   r	   )Zint1Zint2)sparsityr0   r4   randi   s   
z2test_lp.<locals>.make_random_problem.<locals>.randzx1:%sr-   c                    s(   g | ]}t  fd dD   kqS )c                 3       | ]}  | V  qd S r?   r0   r2   r   rJ   r0   r4   	<genexpr>o       zBtest_lp.<locals>.make_random_problem.<locals>.<listcomp>.<genexpr>)sumrF   )rJ   	variablesr0   r4   r5   o   s     z8test_lp.<locals>.make_random_problem.<locals>.<listcomp>c                 3   rK   r?   r0   rL   rM   r0   r4   rN   q   rO   z7test_lp.<locals>.make_random_problem.<locals>.<genexpr>)r   rH   rP   )ZnvarZnum_constraintsrI   constraints	objectiver0   )rJ   rI   rQ   r4   make_random_problemh   s   
z$test_lp.<locals>.make_random_problem)r"   r"   rD   )r   r   r   r8   r9   r   subsr   r
   r   	TypeErrorr   r   r   r   )rR   rS   ansZoptimumZargmaxconstrconstvx1x2x3x4rT   r0   r:   r4   test_lp   s   $"




r_   c                     s"  ddgddgddgddggg dddggdgg} t t|  dd\}}}}t||| | ddd	gg d
fks8J t||| | dddg d
ddgfksNJ tg gg dggdgddgg fksaJ ttt ttd	 kttd	 ktdktdkgd	td	tdifksJ ttt ttd	 ktttd	 tdktdkgd	td	tdifksJ ttt ttd	 kttd	gd	td	tdifksJ ttttd	gd	td	ifksJ ttttd	 kttd	 ktdkgdtd	tdifksJ ttdtd	 kdtd	 kgdtdifksJ ttdtd	 kdtd	 ktdkgdtdifksJ tttdkttkgdtdtdifks4J tttdkttt ktdktdkgdtdtdtdifksTJ t	d  \t
t fdd t}d  d   }d d	  d  d  } | dkgtd  d	t  d	  dg }|| \}}	||  \}
}||dd   \}}tdd	 dtdd	 dtdd	 gf}t||
|||dd|ksJ t||dkdkdkdkdkdkdkdkg }|d t|d  f|ksJ d S )Nr-   rC   r   )r&   r-   r"   rC   F)listir#   r"   )r-   r   r   r   T)Zdualr&   r$   r+   c                      sp   t d d  d  d d d  dk d  d  dkd	  d  d
kgdd  D  S )N	   r)   r#      r&   r"   r   r*   r(   c                 S   r.   r/   r0   r1   r0   r0   r4   r5      r7   z2test_simplex.<locals>.<lambda>.<locals>.<listcomp>)r   r0   rZ   r[   r\   r]   r^   r0   r4   r=      s    ztest_simplex.<locals>.<lambda>r,   ra   )r   r-   bounds)r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r`   values)LABCDMfZcondcdabZaeqZbeqrW   Zlpansr0   rd   r4   test_simplex   sZ   (
&,.4""0"

,$
 4($&rs   c                  C   s@  t d } \}}}}ddggdgddggdgf}dd |D \}}}}	t||g||	gg}
t|
d \}}t||dd | d d D  }|d|d|difksSJ |ddgddggddgddggdgf}d	d |D \}}}}	t||g||	gg}
t|
d \}}t||d
d | dd  D  }|d|d|difksJ d S )Nzx1 x2 y1 y2r-   rC   r"   c                 S      g | ]}t |qS r0   r   r1   r0   r0   r4   r5      r7   z$test_lpmin_lpmax.<locals>.<listcomp>r   c                 S   r.   r/   r0   r1   r0   r0   r4   r5      r7   c                 S   rt   r0   r   r1   r0   r0   r4   r5      r7   c                 S   r.   r/   r0   r1   r0   r0   r4   r5      r7   r$   )r   r   r   r   r   )rZ   r[   r\   y1y2rh   rq   rr   ro   rp   mrn   rX   rW   r0   r0   r4   test_lpmin_lpmax   s    $ rx   c                  C   s  t dD ]} | sdd }ndd }td }\}}}|| d|  }|||d }d| d|  d|  d	kd	| | d
|  dk|dk|dk|dkg}|dd |D |}	td d ddtd	d gf}
t|||
d tt||
d fks{J t|g|	R  |
ksJ |d7 }|||d }t|d|  dg}|dd |D |}dtdd  ddtdd
 gf}
t||| |
d tt||
d fksJ t|g|	|R  |
d d |
d fksJ || tjkg}|dd |D |}dtd
d  dtdd tdd gf}
t||| |
d tt||
d fks!J t|g|	|R  |
d d |
d fks8J ddd tjfg}dddtjgf}
t|||tjkg |
d tt||
d fkscJ t|g|	R d|i|
d d |
d fks{J t|g|	R d|	||d ii|
d d |
d fksJ || tjkg}qtdggg g ddddgfksJ tdgg g ddddgfksJ tdgddddgfksJ tddgddggdgddiddddgfksJ tddgddggdgddiddddgfksJ d S )Nr"   c                 S   s
   t | |S r?   r   rq   rr   r0   r0   r4   r=      s   
 ztest_linprog.<locals>.<lambda>c                 S   s   t dd t| |D S )Nc                 S   s   g | ]}|  qS r0   )tolistr1   r0   r0   r4   r5      r6   z2test_linprog.<locals>.<lambda>.<locals>.<listcomp>)tupler   ry   r0   r0   r4   r=      s    zx1:4r   r%   r,   r#   r*   rb   c                 S      g | ]}|j |j qS r0   )ZltsZgtsr1   r0   r0   r4   r5          z test_linprog.<locals>.<listcomp>r&   r-   ra   c                 S   r|   r0   lhsrhsr1   r0   r0   r4   r5      r}   c                 S   r|   r0   r~   r1   r0   r0   r4   r5      r}         )r   Nrf   rC   )r"   r#   re   )NNr$   )r#   Nr'   )
rH   r   r   r   dictzipr   r   ZHalfindex)dorm   rZ   r   r   r   rn   ro   ZineqabrW   eqZabeqrf   r0   r0   r4   test_linprog   s\   
 (",,*..0"
$"


r   N)0Zsympy.core.numbersr   Zsympy.core.relationalr   r   Zsympy.core.symbolr   Zsympy.core.sympifyr   Zsympy.core.singletonr   Zsympy.core.randomr   r	   Z(sympy.functions.elementary.miscellaneousr
   Zsympy.ntheory.generater   Zsympy.matrices.denser   Zsympy.solvers.solvesetr   Zsympy.solvers.simplexr   r8   r   r   r   r   r   r   r   r   r   Zsympy.external.importtoolsr   Zsympy.testing.pytestr   Z	sympy.abcr   r   r   npr!   r_   rs   rx   r   r0   r0   r0   r4   <module>   s(    0g;