a
    BCCfի                  T   @   sX  d dl Z d dlZd dlZd dlmZmZmZmZm	Z	 d dl
Z
d dl
mZ d dlm  mZ d dlmZ d dlmZ d dlZdd Zefdd	Zejd
 g dZeddgddgddgddgddgddgddgddgddgddgddgddgddgddgddgddgddgddgddgddgddgddgddgddgddgddgddgddgddgddgddgddgddgddgddgddgddgddgddgddgddgddgddgddgddgddgddgddgddgddgddgddgddgddgddgddgddgddgddgddgddgddgddgddgddgddgddgddgddgddgddgddgddgddgddgddgddgddgddgddgddggQZeddgdd gddgd dgd d gd dgddeejj  gdd gddgg	Z!ej"dded d gd dgdd gddgggZ#e#ej"ddded d gd dgdd gddgg g Z$e%eej"ddej"ddej"ddej"ddej"ddej"ddej"dd ee!d!
Z&e#dfe$dfd"Z'd#d$ Z(e&D ]Z)d%D ]Z*e(e)e* qԐqG d&d' d'Z+G d(d) d)Z,G d*d+ d+Z-G d,d- d-Z.d.d/ Z/G d0d1 d1Z0G d2d3 d3Z1G d4d5 d5Z2dS )6    N)assert_equalassert_almost_equalassert_assert_allcloseassert_array_equal)raises)cKDTree)Voronoic                 C   s   t t| S Ntuplesortedx r   Z/var/www/html/django/DPS/env/lib/python3.9/site-packages/scipy/spatial/tests/test_qhull.pysorted_tuple   s    r   c                 C   sb   t | tjr|  } t |tjr(| }tt|| } |   tt||}|  t| | d S r
   )
isinstancenpZndarraytolistlistmapsortr   )abtplr   r   r   !assert_unordered_tuple_list_equal   s    r     )r   r   r      r    r   r    r          ?r$   )r$   g      ?gQ	gzGgQgHzG        gHzG?gQ?gzG@gQ	@r    
            ?                     )
some-pointsz	random-2dz	random-3dz	random-4dz	random-5dz	random-6dz	random-7dz	random-8dpathological-1pathological-2)zbug-2850z
bug-2850-2c           	      C   s   t |  }|jd }d}|d }| dkr,d}n| dkr8d}|d| g}t|t||D ]}|||||   qVd| |f }|tvsJ ||ft|< dS )	z<
    Generate incremental datasets from basic data sets
    r    Nr(   r1   zQJ Ppr2      z%s-chunk-%d)DATASETSshaperangelenappendINCREMENTAL_DATASETS)	name	chunksizepointsndimoptsZnminchunksjnew_namer   r   r   _add_inc_data]   s    
rC   )r    r,      c                   @   s   e Zd Zdd Zdd ZdS )
Test_Qhullc                 C   s  t dtddgddgddgddgddggd}t| }t dtddgddgddgddggd}t| }t| }|  t| }|  tt	|j tt	|j t
|d |d  t|d |d td t|d	 |d	 td t|d
 |d
 td t|d |d  t
|d |d  t|d |d td t|d	 |d	 td t|d
 |d
 td t|d |d  |  tt	|j |  tt	|j d S )N   vr   r          ?r$   s   Qz       @r   r(   r+   r,   )qhullZ_Qhullr   arraycopydeepcopyZget_voronoi_diagramcloseassert_raisesRuntimeErrorr   r   r   r   )selfr   ZxdyZydZxd2Zyd2r   r   r   test_swapping}   s<    & zTest_Qhull.test_swappingc                 C   sL   t ddgddgddgddgddgddgddgddgddgg	}t| d S )Nr   r    r(   )r   rK   r	   )rQ   r=   r   r   r   test_issue_8051   s    8zTest_Qhull.test_issue_8051N)__name__
__module____qualname__rS   rT   r   r   r   r   rE   |   s   &rE   c                   @   sb   e Zd ZdZdd Zdd Zdd Zdd	 Zd
d Zdd Z	dddZ
dd Zejjdd ZdS )TestUtilitiesz-
    Check that utility functions work.

    c                 C   s   t jg dt jd}t|}t|jg dg dg dD ]H}||d d }t||d |d t||d d }t|| q:d S )Nr   r   r"   r!   Zdtyper    r+   r(   r+   r    r   ))r)   r)   r    )      ?r]   r   )333333?皙?r    r(   err_msg)	r   rK   float64rJ   Delaunayr   	simplicesfind_simplexZtsearch)rQ   r=   tripirA   r   r   r   test_find_simplex   s    
zTestUtilities.test_find_simplexc                 C   s   t jg dt jd}t jddgt jd}t|}||}||}||}t|jD ]\}}||d  }	||d  }
||d  }t 	|	| |
| }|t 
t || }|t |d  9 }t ||| }t|| | qZd S )N)r   r"   r!   )g]2ʐ?g>mj?)g~T!?g^Rz?rZ   gB?g?r   r    r(   )r   rK   rb   rJ   rc   Zlift_pointsZplane_distance	enumeraterd   crosssqrtdotsignr   )rQ   r   rg   rf   zZpzdistrA   vx1Zx2Zx3ndr   r   r   test_plane_distance   s"    




z!TestUtilities.test_plane_distancec                 C   sF   t jg dt jd}t|}t|jddgddgddgddgg d S )NrY   rZ   r+   r(   r    r   )r   rK   rb   rJ   rc   r   convex_hullrQ   r=   rf   r   r   r   test_convex_hull   s    
zTestUtilities.test_convex_hullc                 C   s@   t g d}t|}t|jdddd t|jdddd 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    rG   +=zVolume of cube is incorrectrtolra         @zArea of cube is incorrectr   rK   rJ   
ConvexHullr   volumearearQ   r=   hullr   r   r   test_volume_area   s    


zTestUtilities.test_volume_areac                 C   s@   t g d}t|}t|jdddd t|jdddd d S )N)
)gQ4?gΜR@?gX&lL5?)gfNz?gjM?g{D흚j?)ga?8\?g?gw5K?)g,lnq?g6=?gU?)gw컝?g`?ga?)g+q?g\hϱ?gLg?)gGe?gE9;?gd:L?)gȊKB?gBYM?g?)g~EHy?gUdk?gmVq"?)gqp?ge?g\*L?gY/?Hz>z(Volume of random polyhedron is incorrectr{   g\4?z&Area of random polyhedron is incorrectr~   r   r   r   r   test_random_volume_area   s    


z%TestUtilities.test_random_volume_areac                 C   s  d}d}t j||f}tj|d|d ddf dd}tj|d|d ddf dd}t|d |D ]}t|d|d ddf }||||d ddf  |j|||d ddf dd t|j|jdd	 t|j|jdd	 t|j|jdd	 t|j|jdd	 qjdS )
zwTest that incremental mode gives the same volume/area as
        non-incremental mode and incremental mode with restart   r+   Nr    TincrementalZrestartr   r|   )	r   randomrJ   r   r7   
add_pointsr   r   r   )rQ   Z	nr_pointsdimr=   Zinc_hullZinc_restart_hullrh   r   r   r   r   )test_incremental_volume_area_random_input  s    """z7TestUtilities.test_incremental_volume_area_random_input Fr   c                    s  |j |j }d|jd  }|jdd| }dd }ttj}	||j|}
tj	dd> t
|
jddt|
| | dk jddB }W d	   n1 s0    Y  t| | d
t|   |d	d	d	dd	d	f |d	d	dd	d	d	f   t fddt|jD }t|jd	d	ddf |t|	k B }t| | d
t|   ||}|dkt
|jd	d	ddf B }t| | d
t|   |r||kjdd}||d| kjddO }|dk|B }t| | d
t|   d	S )z@Check that a triangulation has reasonable barycentric transformsr    rG   Zaxisc                 S   sB   | d d dd d f }| d d d dd d f }t d||| S )Nr&   z
ijk,ik->ij)r   Zeinsum)trr   rZTinvr   r   r   barycentric_transform(  s    zJTestUtilities._check_barycentric_transforms.<locals>.barycentric_transformignore)invalidg?N r&   c              	      s*   g | ]"}t j |d d d d f qS r
   )r   linalgZdet).0kqr   r   
<listcomp>7  s   z?TestUtilities._check_barycentric_transforms.<locals>.<listcomp>r   )r=   rd   r>   sumr   finfofloateps	transformZerrstateisnanallabsr   nonzerorK   r7   Znsimplexisfiniterl   re   any)rQ   rf   ra   	unit_cubeunit_cube_tolverticesscZ	centroidsr   r   cokr   rA   Zat_boundaryr   r   r   _check_barycentric_transforms  s.    L 2( 
" z+TestUtilities._check_barycentric_transformsc                 C   sr   t tjtjtdd}|d }|  t	|}t 
|jd d ddf  }t|dk | | | d S )Ndatazdegenerate_pointset.npzr   r      )r   loadospathjoindirname__file__rN   rJ   rc   r   r   r   r   r   )rQ   r   r=   rf   Z	bad_countr   r   r   &test_degenerate_barycentric_transformsJ  s    
z4TestUtilities.test_degenerate_barycentric_transformsc           	   
   C   s4  t tj}ddddd}tddD ]}t dd	|| }t jttt j	t j
t j|g|    j}d
| }t|}| j||dd t jd t j|jd dk }||d d f  d| t jj||d d f j d  7  < t|}| j||dd| d tt j||f }| j||dd| d q$d S )NF      r-   r+   )r(   r+   r,   r-   r(   r.   r   r    zndim=%dT)ra   r   r   r_   r$   )ra   r   r   )r   r   r   r   r7   Zlinspacec_r   r   ravelZbroadcast_arraysZix_TrJ   rc   r   r   seedrandr6   r_)	rQ   r   Znpointsr>   r   gridra   rf   mr   r   r    test_more_barycentric_transforms[  s2     
:
z.TestUtilities.test_more_barycentric_transformsN)r   Fr   )rU   rV   rW   __doc__ri   ru   rx   r   r   r   r   r   pytestmarkZslowr   r   r   r   r   rX      s      
-rX   c                   @   s,   e Zd Zdd Zdd Zdd Zdd Zd	S )
TestVertexNeighborVerticesc                    s   dd t |jjd D }|jD ].}|D ]$}|D ]}||kr0|| | q0q(q |j\  fddt |jjd D }t|||d|d d S )Nc                 S   s   g | ]
}t  qS r   )setr   rA   r   r   r   r         z5TestVertexNeighborVertices._check.<locals>.<listcomp>r   c              
      s.   g | ]&}t tt | |d    qS r    )r   r   intr   indicesZindptrr   r   r     s   z != r`   )r7   r=   r6   rd   addZvertex_neighbor_verticesr   )rQ   rf   expectedsr   r   gotr   r   r   _check  s    

z!TestVertexNeighborVertices._checkc                 C   s,   t jg dt jd}t|}| | d S )N)r   r   r!   rZ   r   rK   rb   rJ   rc   r   rw   r   r   r   test_triangle  s    
z(TestVertexNeighborVertices.test_trianglec                 C   s,   t jg dt jd}t|}| | d S )NrY   rZ   r   rw   r   r   r   test_rectangle  s    
z)TestVertexNeighborVertices.test_rectanglec                 C   s,   t jg dt jd}t|}| | d S )N)r   r   r"   r!   r#   )g?r$   rZ   r   rw   r   r   r   test_complicated  s
    

z+TestVertexNeighborVertices.test_complicatedN)rU   rV   rW   r   r   r   r   r   r   r   r   r     s   r   c                   @   sr   e Zd ZdZdd Zdd Zdd Zdd	 Zd
d Zdd Z	dd Z
dd Zdd Zejdeedd ZdS )TestDelaunayz*
    Check that triangulation works.

    c                 C   s   t jd}tttj| d S Nr    )r   ma
masked_allrO   
ValueErrorrJ   rc   rQ   Zmasked_arrayr   r   r   test_masked_array_fails  s    z$TestDelaunay.test_masked_array_failsc                 C   s0   t jddddt jfgt jd}tttj| d S )Nr   r   r"   r    rZ   )r   rK   nanrb   rO   r   rJ   rc   rQ   Zpoints_with_nanr   r   r   test_array_with_nans_fails  s    z'TestDelaunay.test_array_with_nans_failsc                 C   s   t ddD ]}t|d |f}t |D ]}d|||f< q(d|dd d f< t|}|j  t|jtj|d t	dd d d f  t|j
dtj|d t	dd d d f   q
d S )Nr(   r0   r    rG   r&   rZ   )r7   r   zerosrJ   rc   rd   r   r   aranger   	neighbors)rQ   ndr=   rA   rf   r   r   r   test_nd_simplex  s    

&zTestDelaunay.test_nd_simplexc                 C   sR   t jg dt jd}t|}t|jg dg dg t|jg dg dg d S )NrY   rZ   r[   r\   )r&   r&   r    )r&   r&   r   )r   rK   rb   rJ   rc   r   rd   r   rw   r   r   r   test_2d_square  s    
zTestDelaunay.test_2d_squarec                 C   sp   t jg dt jd}t jg dt jd}t j||f }t j||f }tt j||f  tt j||f  d S )N)r   r    r   r    rZ   )r   r   r    r    )r   rK   rb   r   rJ   rc   r   )rQ   r   rR   ZxpZypr   r   r   test_duplicate_points  s    z"TestDelaunay.test_duplicate_pointsc                 C   s   t d }t|}t|j|j  |  t|j|j  |  t d }t|}t|j|j  |  t|j|j  |  d S )Nr2   r3   )r5   rJ   rc   r   r=   rd   maxminrw   r   r   r   test_pathological  s    

zTestDelaunay.test_pathologicalc                 C   sN   t jdd}t j||f }tj|dd}tt |j	 t 
t| d S )Nr'   r(   z	QJ Qbb Ppqhull_options)r   r   r   r   rJ   rc   r   uniquerd   r   r   r8   rw   r   r   r   test_joggle  s    zTestDelaunay.test_jogglec                 C   s   t jdd}t j||f }t|}ttt |j	
 t|d k tt|jt|d k ttt |jd d df t|d k tt |jdk d S )Nr'   r(   r   )r   r   r   r   rJ   rc   r   r8   r   rd   r   Zcoplanarr   Zvertex_to_simplexrw   r   r   r   test_coplanar  s    
$,zTestDelaunay.test_coplanarc                 C   s4   g d}t j|dd}tddg}t|j| d S )Nr   r   r!   r#   )皙?r   Tfurthest_site)r    r,   r   )r,   r(   r   )rJ   rc   r   rK   r   rd   )rQ   r=   rf   r   r   r   r   test_furthest_site  s    zTestDelaunay.test_furthest_siter;   c           	      C   s  t | \}}tj|dd}tj|d d|d}|dd  D ]}|| q:t|}tj|d d|d}t|dkr|jtj|dd  dddd |drtt	|j
 t|jd  tt	|j
 t|jd  nt|j
|j
td t|j
|j
td d S )	Nr   r   Tr   r   r    r   ZpathologicalrI   )r:   r   concatenaterJ   rc   r   r8   
startswithr   r   rd   r   r   r6   r   r   )	rQ   r;   r@   r?   r=   objchunkobj2obj3r   r   r   test_incremental  s8    



zTestDelaunay.test_incrementalN)rU   rV   rW   r   r   r   r   r   r   r   r   r   r   r   r   parametrizer   r:   r   r   r   r   r   r     s   r   c                 C   s  t tt|}t tt|}||kr| jd dkrdttj }|D ]4\}}|D ]\}}| | | |  }|tj	| }t
|d  |d g}	t|	| | | |  }
t|	| | | |  }tt|
|	dsqXtt||	dsqXt|| | | |  }
t|| | | |  }t|| | | |  }|
| k sX|
|| krXqX|| k sX||| krrqX qJqXtdqJd S t|| d S )Nr    r(   i  r   zcomparison fails)r   r   r   r6   r   r   r   r   r   ZnormrK   rm   allcloseAssertionErrorr   )r=   Zfacets_1Zfacets_2r   r   r   Zapbptrs   c1c2c3r   r   r   assert_hulls_equal#  s4    
r  c                   @   s  e Zd Zdd Zdd Zejdee	dd Z
ejdeedd	 Zd
d Zdd Zejdddgdd Zejdddgejdeddggejg dedfeddggejg dedfeddggejg dedfedd gd d ggejg d!edfedd"ggejg dedfgd#d$ Zejdddgd%d& Zejdddgd'd( Zejdddgd)d* Zd+S ),TestConvexHullc                 C   s   t jd}tttj| d S r   )r   r   r   rO   r   rJ   r   r   r   r   r   r   [  s    z&TestConvexHull.test_masked_array_failsc                 C   s.   t jdddt jfgt jd}tttj| d S )Nr   r"   r(   rZ   )r   rK   r   rb   rO   r   rJ   r   r   r   r   r   r   _  s    z)TestConvexHull.test_array_with_nans_failsr;   c                 C   sn   t | }t|}t|}t||j|j |jd dkrVtt	
|jt	|j ntt	
|j|j d S )Nr    r(   )r5   rJ   rc   r   r  rv   rd   r6   r   r   r   r   r   )rQ   r;   r=   rf   r   r   r   r   test_hull_consistency_tric  s    

z(TestConvexHull.test_hull_consistency_tric           	      C   s   t | \}}tj|dd}tj|d dd}|dd  D ]}|| q8t|}tj|d dd}t|dkr|jtj|dd  dddd t||j|j t||j|j d S )Nr   r   Tr   r    r   )	r:   r   r   rJ   r   r   r8   r  rd   )	rQ   r;   r@   _r=   r   r   r   r   r   r   r   r   t  s    
zTestConvexHull.test_incrementalc                 C   s   t jd t jdd}t|}tt |jt 	|j
 |j|j
 j\}}t ||  ||  }tt t t |dk d S )Nr   r*   r(   r   )r   r   r   r   rJ   r   r   r   rd   r   r   r=   r   Zarctan2meanr   r   diffunwrap)rQ   r=   r   r   rR   Zangler   r   r   test_vertices_2d  s    
zTestConvexHull.test_vertices_2dc                 C   s<   t g d}t|}t|jddd t|jddd d S )Nry   rG   rz   r   r}   r~   rw   r   r   r   r     s    
zTestConvexHull.test_volume_arear   FTc                 C   s^   t ddgddgddgddgddgg}tj||dd}t jg dtd}|j}t|| d S )	Nr_   皙?r^   333333?QG4r=   r   r   )FTFFrZ   r   rK   rJ   r   boolgoodr   rQ   r   r=   r   r   actualr   r   r   test_good2d  s    
zTestConvexHull.test_good2d
visibilityr  zQG-4znew_gen, expectedr^   gffffff?)FFFFFrZ   gffffff)FTFFFg=
ףp=?)FFFTTr$   r  )FFTFFg433333?c                 C   sh   t ddgddgddgddgddgg}tj|d|d}|| |j}d|v rZt |}t|| d S )Nr_   r  r^   r  Tr  -)r   rK   rJ   r   r   r  invertr   )rQ   Znew_genr   r  r=   r   r  r   r   r   test_good2d_incremental_changes  s    '


z.TestConvexHull.test_good2d_incremental_changesc                 C   sr   t ddgddgddgddgddgg}tj||d}|j}|d u sHJ |rn|t d |j}|d u snJ d S )Nr_   r  r^   r  )r=   r   r    r(   )r   rK   rJ   r   r  r   r   )rQ   r   r=   r   r  r   r   r   test_good2d_no_option  s    
z$TestConvexHull.test_good2d_no_optionc                 C   s^   t ddgddgddgddgddgg}tj||dd}t jg dtd}|j}t|| d S )Nr_   r  r^   r  r  )FFFFrZ   r  r  r   r   r   test_good2d_inside  s    
z!TestConvexHull.test_good2d_insidec                 C   sZ   t g dg dg dg dg dg}tj||dd}t jg dtd	}t|j| d S )
Nr%   r%   r%   )gN7?g+xٿgg>@?)gFE%'?gWۧ=g/J?)g6r?gtĭ4gŷ)gw6y?gQgb?ZQG0r  )TFFFrZ   )r   rK   rJ   r   r  r   r  )rQ   r   r=   r   r   r   r   r   test_good3d  s    
zTestConvexHull.test_good3dN)rU   rV   rW   r   r   r   r   r   r   r5   r  r:   r   r  r   r  r   rK   r  r  r  r  r   r   r   r   r   r  Z  sL   

	


r  c                   @   s   e Zd Zejdddgejdddgejddd	gd
d Zdd Zdd Zdd Z	ejde
edd Zdd Zdd Zejde
edd ZdS )TestVoronoizqhull_opts, extra_pts)z	Qbb Qc Qzr    )zQbb Qcr   n_pts2   d   r>   r(   r+   c           
      C   s   t jd}|||f}t||d}|j}| |d | ksDJ |jt|j| ks\J t|j|| ksrJ |j	j
d |ksJ |rdd |jD }	|	ddksJ |	d|vsJ d S )Nin  r   r    r   c                 S   s   g | ]}t |qS r   r8   r   r   r   r   r   r   4  r   z;TestVoronoi.test_point_region_structure.<locals>.<listcomp>)r   r   Zdefault_rngr	   point_regionr   sizer8   regionsr=   r6   countindex)
rQ   Z
qhull_optsr"  Z	extra_ptsr>   rngr=   vorZ	pt_regionZsublensr   r   r   test_point_region_structure  s    z'TestVoronoi.test_point_region_structurec                 C   s   t jd}tttj| d S r   )r   r   r   rO   r   rJ   r	   r   r   r   r   r   :  s    z#TestVoronoi.test_masked_array_failsc                 C   s   g d}d}|  || d S )N)	r   r   )r   r(   r!   r"   r  )r(   r   )r(   r    )r(   r(   a	  
        2
        5 10 1
        -10.101 -10.101
           0.5    0.5
           0.5    1.5
           1.5    0.5
           1.5    1.5
        2 0 1
        3 2 0 1
        2 0 2
        3 3 0 1
        4 1 2 4 3
        3 4 0 2
        2 0 3
        3 4 0 3
        2 0 4
        0
        12
        4 0 3 0 1
        4 0 1 0 1
        4 1 4 1 2
        4 1 2 0 2
        4 2 5 0 2
        4 3 4 1 3
        4 3 6 0 3
        4 4 5 2 4
        4 4 7 3 4
        4 5 8 0 4
        4 6 7 0 3
        4 7 8 0 4
        _compare_qvoronoirQ   r=   outputr   r   r   test_simple>  s     zTestVoronoi.test_simplec                 K   s^  dd |   D }t|d d }ttt|dd|  }t|d d }dd |d| d| |  D }dd |d| | d	 D }d
d |d| | d	 D }	tj|fi |}
dd }t|
j	| t
ttt|
jttt| tttt||tt||	}tttt||
j tt||
j}|  |  t
|| d	S )z:Compare to output from 'qvoronoi o Fv < data' to Voronoi()c                 S   s   g | ]}t tt| qS r   )r   r   r   splitr&  r   r   r   r   k  r   z1TestVoronoi._compare_qvoronoi.<locals>.<listcomp>r    r   r+   r(   c                 S   s"   g | ]}d d |dd D qS )c                 S   s   g | ]}t |d  qS r   r   r   rR   r   r   r   r   o  r   <TestVoronoi._compare_qvoronoi.<locals>.<listcomp>.<listcomp>r    Nr   r&  r   r   r   r   o  s   c                 S   s"   g | ]}d d |dd D qS )c                 S   s   g | ]}t |qS r   r5  r6  r   r   r   r   q  r   r7  r    r+   r   r&  r   r   r   r   q  s   Nc                 S   s"   g | ]}d d |dd D qS )c                 S   s   g | ]}t |d  qS r   r5  r6  r   r   r   r   s  r   r7  r+   Nr   r&  r   r   r   r   s  s   c                 S   s   t t| S r
   r   r   r   r   r   	sorttupley  s    z0TestVoronoi._compare_qvoronoi.<locals>.sorttuple)strip
splitlinesr   r   r   r   rJ   r	   r   r   r   r   r)  zipridge_pointsr   ridge_verticesr   )rQ   r=   r2  kwZnvertexr   Znregionr)  r<  r=  r-  r8  p1p2r   r   r   r0  g  s8    zTestVoronoi._compare_qvoronoir;   c                 C   s   t | }t|}t|}|j D ]\}}tt|dksBq$|j	| j
dd}d||d  |  }|j|| dd\}	}
t|
|d  |j|| dd\}	}
t|
|d  q$d S )Nr   r   gư>r    )r   )r5   KDTreerJ   r	   Z
ridge_dictitemsr   r   asarrayr   r
  queryr   )rQ   r;   r=   treer-  rg   rq   Zridge_midpointrt   rp   r   r   r   r   test_ridges  s    
zTestVoronoi.test_ridgesc                 C   s    g d}d}| j ||dd d S )Nr   a'  
        2
        3 5 1
        -10.101 -10.101
        0.6000000000000001    0.5
           0.5 0.6000000000000001
        3 0 2 1
        2 0 1
        2 0 2
        0
        3 0 2 1
        5
        4 0 2 0 2
        4 0 4 1 2
        4 0 1 0 1
        4 1 4 0 1
        4 2 4 0 2
        Tr   r/  r1  r   r   r   r     s    zTestVoronoi.test_furthest_sitec                 C   s8   g d}t |}t|jd t |dd}t|jd d S )Nr   FTr   )r	   r   r   )rQ   r=   r-  r   r   r   test_furthest_site_flag  s
    z#TestVoronoi.test_furthest_site_flagc                    s  t | d d jd dkrd S t | \}}tj|dd}tj|d d|d}|dd  D ]}|| qXt|}tj|d d|d}t|dkr|jtj|dd  dddd tt|j	t|j	 tt|j	t|j	 ||fD ] ddit
 jD ]4\}	}
t
|jD ] \}}t|
|r||	< qq fd	d
dd }t| j||j t| j||j qd S )Nr   r    r+   r   Tr   r   r&   c              
      sn   t | dr tfdd| D S z
|  W S  tyh } z&d j|  }t||W Y d }~n
d }~0 0 d S )N__len__c                    s   h | ]} |qS r   r   r6  )remapr   r   	<setcomp>  r   z>TestVoronoi.test_incremental.<locals>.remap.<locals>.<setcomp>z*incremental result has spurious vertex at )hasattrr   KeyErrorr   r   )r   emessageZobjxrI  Z
vertex_mapr   r   rI    s    

z+TestVoronoi.test_incremental.<locals>.remapc                 S   s:   t tt| }d|v r |d dd |D }|  |S )Nr   c                 S   s   g | ]}t |d kr|qS r   r%  r&  r   r   r   r     r   zDTestVoronoi.test_incremental.<locals>.simplified.<locals>.<listcomp>)r   r   r   remover   )r   rB  r   r   r   
simplified  s    
z0TestVoronoi.test_incremental.<locals>.simplified)r:   r6   r   r   rJ   r	   r   r8   r   r'  rj   r   r   r)  r=  )rQ   r;   r@   r?   r=   r   r   r   r   rh   rq   rA   v2rQ  r   rO  r   r     sF    

zTestVoronoi.test_incrementalN)rU   rV   rW   r   r   r   r.  r   r3  r0  r   r5   rF  r   rG  r:   r   r   r   r   r   r!    s    )"
r!  c                   @   sR   e Zd ZdddZejdeje	gdd Z
dd Zd	d
 Zdd Zdd ZdS )Test_HalfspaceIntersectionr   c                 C   sx   t |j|j tj|jd ftd}|D ]>}tt|| |k jddd }t |jd d||d < q(t|  dS )z2Check that every line in arr1 is only once in arr2r   rZ   r    r   r   TN)	r   r6   r   r   r  r   r   r   r   )rQ   Zarr1Zarr2r|   Ztruthsl1Zindexesr   r   r   assert_unordered_allclose  s    "z4Test_HalfspaceIntersection.assert_unordered_allclosedtc                 C   sv   t jg dg dg dg dg|d}t jddg|d}t ddgddgddgddgg}t||}t|j| d S )	N)r&   r   r   )r   r&   r   )r    r   )r   r    rW  rZ   r    r%   rH   )r   rK   rJ   HalfspaceIntersectionr   intersections)rQ   rV  
halfspacesfeasible_pointr=   r   r   r   r    test_cube_halfspace_intersection  s    
"z;Test_HalfspaceIntersection.test_cube_halfspace_intersectionc           
      C   s<  t jt jtdd}t|}t|d d dd f |d d d df f }tg d}t	
||}t|jjd t|jd tt|jd |jD ]}tt|d q|d d d	f |d d d d	f | }| |d d d d	f j| j|j tg d
}|D ]$}	tt|j|	kjddd qd S )Nr   zselfdual-4d-polytope.txtr    )r%   r%   r%   r%   )   r,   g      @@r]  r.   r&   )r%   r%   r$         r   )r   r   r   r   r   r   Z
genfromtxthstackrK   rJ   rX  r   rY  r6   r   Zdual_volumer8   dual_facetsrm   rU  r   dual_points	itertoolspermutationsr   r   )
rQ   fnameZineqsrZ  
feas_pointhsZfacetdistsr=   pointr   r   r   $test_self_dual_polytope_intersection  s"    
0
*&z?Test_HalfspaceIntersection.test_self_dual_polytope_intersectionc                 C   s   t g dg dg dg dg}t g d}tttj|| t dgdgg}tttj|| t ddgg}tttj|| t ddg}ttjtj|| d S )N)      r%   r%   )r%   rj  r%   )rG   r%   rj  )r%   rG   rj  r$   r$   r$   r$   r^  )r   rK   rO   r   rJ   rX  Z
QhullError)rQ   rZ  r[  r   r   r   test_wrong_feasible_point6  s*    
z4Test_HalfspaceIntersection.test_wrong_feasible_pointc              	   C   sd  t g dg dg dg dg dg dg}t g dg dg d	g d
g}t dggd }t t || f|f}t g d}tj||dd}tj||dd}t|D ]\}}	||	t jd d f  |j|	t jd d f dd t ||d |d d d f f}
t|
|}t	|j
|j
 t	|j
|j
 t	|j|j | |j|j q|  d S )N)r%   r%   rj  r^  )r%   rj  r%   r^  )rj  r%   r%   r^  )rG   r%   r%   r^  )r%   rG   r%   r^  )r%   r%   rG   r^  )rG   rG   rG   )rG   rG   rj  )rG   rj  rG   )r    rj  rj  rj  r0   r  Tr   r   r    )r   rK   r_  ZvstackrJ   rX  rj   Zadd_halfspacesZnewaxisr   rZ  rY  rU  rN   )rQ   rZ  Zextra_normalsoffsetsZextra_halfspacesre  Zinc_hsZ
inc_res_hsrh   Zehstotalrf  r   r   r   r   M  s>    

"z+Test_HalfspaceIntersection.test_incrementalc              	   C   s   t g dg dg dg dg dg dg}t g d}t||}t g dg d	g d
g dg dg dg}g dg dg dg dg dg dg dg dg}t|t|jksJ t||jD ]\}}t|t|ksJ qt|j	| d S )N)rj  r%   r%   r%   )rG   r%   r%   rj  )r%   rj  r%   r%   )r%   rG   r%   rj  )r%   r%   rj  r%   )r%   r%   rG   rj  rk  )rW  r   r   )r(   r   r   )r   rW  r   )r   r(   r   )r   r   rW  )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   rK   rJ   rX  r8   r`  r;  r   r   ra  )rQ   rZ  rh  rf  Zqhalf_pointsZqhalf_facetsr   r   r   r   r   	test_cubex  s<    

z$Test_HalfspaceIntersection.test_cubeN)r   )rU   rV   rW   rU  r   r   r   r   rb   r   r\  ri  rl  r   ro  r   r   r   r   rS    s   

+rS  )3r   rL   numpyr   Znumpy.testingr   r   r   r   r   r   r   rO   Zscipy.spatial._qhullZspatialZ_qhullrJ   Zscipy.spatialr   rA  r	   rb  r   r   r   r   r   r=   rK   Zpathological_data_1r   rb   r   Zpathological_data_2r   Zbug_2850_chunksZbug_2850_chunks_2rC  r5   r:   rC   r;   r<   rE   rX   r   r   r  r  r!  rS  r   r   r   r   <module>   s     $. Y! 7 = p