o
    GZh                     @   s  d dl 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mZmZmZmZ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mZmZ d d	l m!Z!m"Z"m#Z#m$Z$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d Z/dS )    N)Float)
DerivativeFunction)S)Symbol)expcossintancoshsinh)sqrt)PointPoint2DLinePolygonSegmentconvex_hullintersectioncentroidPoint3DLine3DRayEllipse)idiffclosest_pointsfarthest_points_ordered_pointsare_coplanar)solve)raisesc                     s"  t dddt ddd} t ddd}td}td}d | d  d	 }d
 d | d  d  | d  }|t|| dksHJ t|| d|t|| gdksTJ t|| d|ks_J d td  d	 d   || t|| d  s~J d fddt|| D v sJ t| |  | |gt| d ksJ t|t| t  |d t t|  |d  ksJ t|| t  || g| t|  t ksJ t|| t  | |g|  t|t   ksJ t|| ||gt|ks1J | dt	 d  d  t
d  dtd    }t|| dt	 t dt
d   dt
  td d  dt   dt	 d   dd   ksJ d S )NxT)realytfg                  r   c                    s   g | ]}| d  qS )r+   )diffequals).0ZsolZexplicitr!    M/var/www/auris/lib/python3.10/site-packages/sympy/geometry/tests/test_util.py
<listcomp>   s    ztest_idiff.<locals>.<listcomp>i
   i   )r   r   r   r   subsr   r/   r   r   r	   r
   r   r   r   )r#   r$   r%   r&   circansZfxyr2   r1   r3   
test_idiff   s<   $$ ",Z>H8:,

r:   c                  C   s  t tddg ksJ ttdd  t tddtddtddd	d
tddtddgks/J t tddtddtddd	d
tddtddgksLJ t tddtddtddtdddd	d
tddtddgksnJ d} t ttddtddttdd| ddd	d
d j	}|t
tddddj	ksJ tdd} t ttddtddttdd| ddd	d
d j	}|t
tddddj	ksJ |d jdksJ |d jdksJ d S )Nr   c                   S      t tdddS Nr   r+   )r   r   r2   r2   r2   r3   <lambda>+       z#test_intersection.<locals>.<lambda>r   r   r'   r   )r   )r*   r   )r   r*   T)pairwiser*   )Zslopeg      @gMbP?rA   g-C6J?g333333g       @)centerZhradiusZvradiusgj6gG?gpF)evaluater(   r-   5   r6   )r   r   r    	TypeErrorr   r   r   r   r   ZcoordinatespytestZapproxr   Z_prec)Rcc2r2   r2   r3   test_intersection)   sr   






rK   c                  C   sh   t tdd  g d} t| i dditddtdd	td
d	tddgtddtddgfks2J d S )Nc                   S   r;   r<   )r   r   r2   r2   r2   r3   r=   P   r>   z"test_convex_hull.<locals>.<lambda>)r*   rA   )r*   )r+   rA   )rM   )   ZpolygonFrN   rM   r*   rA   r+   rO   rP   )r    rF   r   r   )pointsr2   r2   r3   test_convex_hullO   s   "rR   c                  C   s   t ddd} | dd}t| |tddd ksJ tdd} tdd	}t| |td
td d ks5J ttddtddtddd ksIJ ttddtddtddtddd ksaJ d S )Nr?   )r5   r   )r5   r5   r   r6   (   r+   r@   )r'   r'   r*   r'   )r   	translater   r   r   r   )pqr2   r2   r3   test_centroidW   s   

"(4rW   c                     s8  ddl m}  ddlm} ttfD ]	}|tkrt nt tt	 fdd t
ddt
ddt
ddg}t
ddt
ddt
ddg}t
ddt
ddt
dd	g}t
ddt
ddt
d
dg}t
ddt
ddt
ddg}t
ddt
ddt
ddt
ddg}tddd}	dd |	df|	d df|	d dffD }
|||||||
fD ]-}|dd |t|dD }t | d  }\}}|||ksJ |t|ksJ qt }t|dkr|t
| dd| dd t|dkst|}|dd ||dD }t | d  }\}}|||ksJ |t|ksJ qt
ddt
ddt
tjtdd }}}dd ||||fdD }t||||ksIJ t||||ksTJ g d}t| t
ddt
dd
fhksjJ g d}t| t
ddt
ddfhksJ tddt
ddt
ddfhksJ tt	d d  d S )!Nr   )randint)subsetsc                      s    t ddt ddS )Nr   r   r2   funcr2   r3   r=   l   s    z5test_farthest_points_closest_points.<locals>.<lambda>r+   r*   r'   r5   r(   rA   r!   T)Zpositivec                 S   s   g | ]}t |qS r2   rZ   )r0   ar2   r2   r3   r4   |   s    z7test_farthest_points_closest_points.<locals>.<listcomp>c                 s       | ]
\}}| |V  qd S Ndistancer0   ijr2   r2   r3   	<genexpr>       z6test_farthest_points_closest_points.<locals>.<genexpr>   d   c                 s   r^   r_   r`   rb   r2   r2   r3   re      rf   c                 S   s   h | ]
\}}t ||fqS r2   )r   rb   r2   r2   r3   	<setcomp>   s    z6test_farthest_points_closest_points.<locals>.<setcomp>)r*   r*   )r*   r'   )r+   r*   )rN   r'   )rO   r(   rN   rO   rL   rM   rP   rj   r?   c                   S   s   t dS )Nrj   )r   r2   r2   r2   r3   r=      s    )Zsympy.core.randomrX   Zsympy.utilities.iterablesrY   minmaxr   r   r    
ValueErrorr   r   setlistra   r   lenaddr   ZHalfr   )rX   rY   howp1p2Zp3Zp4Zp5dupr!   srQ   dr9   r]   brI   r2   r[   r3   #test_farthest_points_closest_pointsb   s`   $("
ry   c                  C   s   t tdddtddd} t tdddtddd}t tdddtddd}ttddtdd}t| ||dks<J t| |dksEJ d S )	Nr-   r   r*   rA   rM   r+   	   F)r   r   r   r   r   )r]   rx   rI   rw   r2   r2   r3   test_are_coplanar   s   r{   )0rG   Zsympy.core.numbersr   Zsympy.core.functionr   r   Zsympy.core.singletonr   Zsympy.core.symbolr   Zsympy.functionsr   r   r	   r
   r   r   Z(sympy.functions.elementary.miscellaneousr   Zsympy.geometryr   r   r   r   r   r   r   r   r   r   r   r   Zsympy.geometry.utilr   r   r   r   r   Zsympy.solvers.solversr   Zsympy.testing.pytestr    r:   rK   rR   rW   ry   r{   r2   r2   r2   r3   <module>   s"     8&A