o
    hT                    @   sz  d Z ddlZddlZddlZddlmZ ddlmZ ddlmZm	Z	 ddl
m  mZ ddlmZ ddlmZ ddlZddlmZ dd	lmZmZmZmZmZmZmZ dd
lmZ ddlmZmZ ddl m!Z! ddl"m#Z#m$Z$ G dd dZ%dKddZ&dKddZ'e!G dd dZ(e!G dd dZ)G dd dZ*G dd dZ+e!G dd dZ,e!G dd  d Z-G d!d" d"Z.G d#d$ d$Z/e!G d%d& d&Z0e!G d'd( d(Z1d)d* Z2d+d, Z3G d-d. d.Z4d/d0 Z5d1d2 Z6d3d4 Z7d5d6 Z8e!G d7d8 d8Z9G d9d: d:Z:G d;d< d<Z;G d=d> d>Z<G d?d@ d@Z=G dAdB dBZ>G dCdD dDZ?G dEdF dFZ@e!G dGdH dHZAG dIdJ dJZBdS )Lz?
Tests for the stats.mstats module (support for masked arrays)
    N)nan)maskednomask)stats   )check_named_results)raises)assert_equalassert_almost_equalassert_array_almost_equalassert_array_almost_equal_nulpassert_assert_allcloseassert_array_equal)suppress_warnings)_mstats_basic	_stats_py)skip_xp_invalid_arg)SmallSampleWarningtoo_small_1d_not_omitc                   @      e Zd Zdd ZdS )TestMquantilesc                 C   s   t g dg dg dg dg dg dg dg dg d	g d
g dg}g dg dg dg}tj|ddd}t|| d S )N)      @      @      ?)g     G@      .@       @)g     H@      B@      @)r        C@      @)      E@      D@     8)     D@r$   r#   )r   r#   r#   )r   r#   r#   )g     E@r#   r#   )r"   r#   r#   )r   r#   r#   )g3333333@g333333-@g333333?)r"   g     B@      @)gffffffE@gfffffD@gffffff@r   )r   2   )axislimit)nparraymstats
mquantilesr
   )selfdatadesiredquants r1   W/var/www/vscode/kcb/lib/python3.10/site-packages/scipy/stats/tests/test_mstats_basic.pytest_mquantiles_limit_keyword   s$   
z,TestMquantiles.test_mquantiles_limit_keywordN)__name__
__module____qualname__r3   r1   r1   r1   r2   r          r   Hz>c                 C   .   t j| ||d}t|||d t|j| d S N)r'   dtypertol)r+   gmeanr   r	   r;   
array_liker/   r'   r;   r=   xr1   r1   r2   check_equal_gmean/   s   rB   c                 C   r9   r:   )r   hmeanr   r	   r;   r?   r1   r1   r2   check_equal_hmean6   s   rD   c                   @   s\   e Zd Zdd Zdd Zdd Zdd Zd	d
 Zej	j
eed dddd Zdd ZdS )TestGeoMeanc                 C   s&   g d}t dd}t||dd d S )Nr                     ?+=r<   )r)   powerrB   r-   ar/   r1   r1   r2   test_1d>   s   zTestGeoMean.test_1dc                 C   sP   t g d}d}t|| t jg dg dd}tdd}t||dd	 d S )
N

         (   r&   <   F   P   Z   d   gsŤF@rF   r   r   r   r   mask   UUUUUU?rL   r<   )mar*   rB   r)   rM   rN   r1   r1   r2   
test_1d_maC   s   
zTestGeoMean.test_1d_mac                 C   s*   t jjg dg dd}d}t|| d S )NrQ   
r   r   r   r   r   r   r   r   r   r   r\   gdq_D@r)   r`   r*   rB   rN   r1   r1   r2   test_1d_ma_valueM   s
   zTestGeoMean.test_1d_ma_valuec                 C   s"   t jg d}d}t|| d S )N)
rR   rS   rT   rU   r&   rV   rW   rX   rY   r   r   rc   rN   r1   r1   r2   test_1d_ma0T   s   zTestGeoMean.test_1d_ma0c                 C   sR   t jg d}t j}t jdd t|| W d    d S 1 s"w   Y  d S )N)
rR   rS   rT   rU   r&   rV   rW   rX   rY   ignore)invalid)r)   r`   r*   r   errstaterB   rN   r1   r1   r2   test_1d_ma_infZ   s
   "zTestGeoMean.test_1d_ma_inffloat96cannot find float96 so skippingreasonc                 C   s@   t jg dg dd}tddtj}t||tjdd d S )NrF   r[   r\   r^   r_   rL   )r;   r=   )r`   r*   r)   rM   astyperk   rB   r-   rO   
desired_dtr1   r1   r2   test_1d_float96a   s   zTestGeoMean.test_1d_float96c                 C   s   t jg dg dg dgg dg dg dgd}tg d}t||ddd t td	d
tddtddg}t||ddd g dg dg dg}d}ttj || d S )NrF   r   r   r   r   r   r   r   r   r   r   r   r   r\   r   rL   r'   r=   rJ   rK   r^         ?rI   rf   rR   rS   rT   rU   r&   rV   rW   rX   rY   rZ   n   x   g/,$qJ@)r`   r*   r)   rB   rM   rN   r1   r1   r2   
test_2d_mah   s   

zTestGeoMean.test_2d_maN)r4   r5   r6   rP   ra   rd   re   rj   pytestmarkskipifhasattrr)   rr   r}   r1   r1   r1   r2   rE   <   s    

rE   c                   @   s<   e Zd Zdd Zejjeed dddd Z	dd	 Z
d
S )TestHarMeanc                 C   sp   t jg dg dd}d}t||dd tj g d}d}t|| tj jg dg d	d}d
}t|| d S )NrF   r[   r\   /袋.?rL   r<   rQ   g=b#A@rb   gO?@r`   r*   rD   r)   rN   r1   r1   r2   rP   {   s   
zTestHarMean.test_1drk   rl   rm   c                 C   s:   t jg dg dd}tjdtjd}t||tjd d S )NrF   r[   r\   r   r;   )r`   r*   r)   asarrayrk   rD   rp   r1   r1   r2   rr      s   zTestHarMean.test_1d_float96c                 C   s   t jg dg dg dgg dg dg dgd}t g d}t||ddd g d	}t||d
dd g dg dg dg}d}ttj || d S )NrF   rs   rt   ru   r\   r   rL   rv   )gQ?g433333@g?rf   rx   ry   rz   gmWUC@r   rN   r1   r1   r2   test_2d   s   zTestHarMean.test_2dN)r4   r5   r6   rP   r~   r   r   r   r)   rr   r   r1   r1   r1   r2   r   y   s    
r   c                   @   r   )TestRankingc                 C   s   t g d}tt|g d t|ddg< tt|g d ttj|ddg d t g d	}tt|g d
 t g dg dg}tt|g dg dg ttj|ddg dg dg ttj|ddg dg dg d S )N)
r   r   r   r   rG   rH   rI      r   r^   )
r   rH   rH   rH   r   r^            !@r   rR   rH   rI   )
r   r%   r%   r   r   rI   r         @r      T)use_missing)
r   r%   r%         @r   rI   r   r   r   r   )
r   r   r   r   rG   rI   rH   r   r   r^   )
r   rH   r   rH   r   r   r^   r   rH   rR   )r   r   r   r   rG   )rH   rI   r   r   r^   )r   rH   rH   rH   r   )r^   r   r   r   rR   r   r'   )r   rG         @r   r   r   r   r   r   r   r   rG   rG   rG   rG   rG   )r`   r*   r
   r+   rankdatar   r-   rA   r1   r1   r2   test_ranking   s2   



zTestRanking.test_rankingN)r4   r5   r6   r   r1   r1   r1   r2   r      r7   r   c                   @   s   e Zd Zdd Zdd Zdd Zdd Zejj	e
 d	kd
ddd Zejj	e
 d	kd
dejjdd Zdd Zejddejdddd Zdd Zejjdd Zedd ZdS )TestCorrc           
   	   C   sV  t d}t F tdt tt||d d tt||d d d d d t j	|dd}t||}t
|d tu  t
|d	 tu  W d    n1 sRw   Y  t 	g d
}t 	g d}t||\}}t|tdd  t|d g d}t j	g d|d}t j	g d|d}	t||	\}}t|tdd  t|d d S )NrR   errorr   r   rf         Tr\   r   )r           r   )r   r   rH   rH   rG   r_   )FFFT)r   r   r   g     X@)r   r   rH   rf   )r`   arangewarningscatch_warningssimplefilterRuntimeWarningr
   r+   pearsonrr*   r   r   r)   sqrt)
r-   rA   prx1y1rpr]   x2y2r1   r1   r2   test_pearsonr   s*   

 
zTestCorr.test_pearsonrc           	      C   s   t jjg dg dd}t jjg dg dd}t g d}t g d}t||\}}t||\}}t|| t|| d S )Nr   rG   rH   rI   r   r^   )r   r   r   r   r   r   r\   )	   r   r   r^   r   r   )r   r   r   r   r   r   )r   rI   r   r^   )r   r^   r   r   )r)   r`   masked_arrayr*   r+   r   r   r	   )	r-   mxmyrA   ymrmpr   r   r1   r1   r2   test_pearsonr_misaligned_mask   s   
z&TestCorr.test_pearsonr_misaligned_maskc                 C   s  g dg d}}t t||d d ddddtjgd	d
d
dtjg}}t|t|}}t t||d d g d}g d}t t||d d dddddddddddddddtjg}dddd d!d"d#d$d%d"dd&dd'dtjg}t|t|}}t t||d d ttd(}ttd(}|d) |d |d< |d)< |d* |d+ |d+< |d*< |d, |d- |d-< |d,< t t||d d. t||}d/}t	||d0d1 d S )2N)333333@      @Gz	@HzG@)ffffff?Q@r   @r   gIQ=r   r   r   r   r   r   r   r   33333G@r!   皙%@N@333333?      P@̌O@r   ffffff?皙@333333?333333@r   @皙6@皙 @333333F@'@皙8@333333?@D@r   r   r   ffffff@r   333333?r   gI
?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   i  rR   i  i  gV-?correlationpvalueTr`   )
r
   r+   	spearmanrr)   r   r`   fix_invalidlistranger   r-   rA   r   res
attributesr1   r1   r2   test_spearmanr   s2   "zTestCorr.test_spearmanrc                 C   sf  g d}g d}d}t ||\}}t|| t|d t j||dd\}}t|| t|d t j||dd\}}t|| t|d	 d
}tdd|}d| tj| }t ||\}}t j||dd\}	}
t|
|d  t j||dd\}}t|d|d   ||	  kr|ksJ  J tjt	dd t j||dd W d    d S 1 sw   Y  d S )Nr   r   g+;
?gr?greateralternativegb?lessgcH}?rZ   r   r   皙?rG   r   zalternative must be 'less'...matchz	ekki-ekki)
r+   r   r   r)   linspacerandomrandr~   r   
ValueError)r-   rA   r   r_expr   r   nstat1p1stat2p2stat3p3r1   r1   r2   test_spearmanr_alternative  s0   





"z#TestCorr.test_spearmanr_alternativeppc64lezfails/crashes on ppc64lerm   c                 C   s  t tg d}t tg d}ddg}ttt||| t td}t td}ddg}ttt||| tt	tj||dd |d	 }|d
 |d	< ||d
< ddg}ttt||| |d }|d |d< ||d< ddg}ttt||| t td}t tdd d d }ddg}ttt||| |d	 }|d
 |d	< ||d
< ddg}ttt||| |d }|d |d< ||d< ddg}ttt||| t 
ddddtjg}t 
ddddtjg}t 
ddddtjg}ttt||dd g tttj||d!ddd"g ttt||d#d$g t 
d%d%d%d%d&d&d%d'd%d&ddd%d(d%d&d%d%d%d%d%tjg}t 
d%d)d)d)dd*d'd%d+d,d-d)d)d)d)d)d)d%dd.tjd%g}t||}tt|d/d0g d1}t||d2d3 d S )4N)r   rG   r   r^   )rI   r   r      r   r   rR   gxO~>bananamethodr   rG   g?>?gaV>r   r^   g}'}'?go&5>rf   r   g?>g}'}'r   r   r   r   r   g     :@gQgףp=
@r   r   g1UU?      ?
asymptoticglgN?g~ȋgQM?r   rS   rV   rU   rX   !   C         -   gXJĿgvPwTk?r   Tr   )r`   r*   r)   r
   r   r+   
kendalltaur   assert_raisesr   r   r   r   )r-   rA   r   expectedbzresultr   r1   r1   r2   test_kendalltau1  sn   zTestCorr.test_kendalltauc                 C   sd   t jdtd}t|d}t jdtd}t |dd  |d d f}tt t	||d  d S )Nr   r   i    r   )
r)   r   floatr`   masked_greaterconcatenater   isfiniter+   r   )r-   rA   r   r1   r1   r2   test_kendalltau_large  s
   zTestCorr.test_kendalltau_largec                 C   s   t t dddddddddddgg ddddd	d
ddddt ddt gt d	dddt d	ddddddgg}t|j}t|}t|d dd t|d dg d d S )NrI   rG         r   r   rH   rI   rH   r   rH   rG   r   rH   r   r   rG   rH   r   rH   r^      r   r      zglobal p-value (indep)gMb?zseasonal p-value)g
ףp=
?g(\?皙?g{Gz?)r   r`   r   Tr+   kendalltau_seasonalr
   round)r-   rA   outputr1   r1   r2   test_kendalltau_seasonal  s   
z!TestCorr.test_kendalltau_seasonalr   )exactr   r   	two-sidedr   r   c                 C   s   t jd d}t j|}t j|}t j|dk}tj||d}tj||d}tj||||d}	| }
| }t	j|
|||d}t j
||< t j
||< t	j|||d|d}t|	| t|| d S )Nr   r&   rw   r\   )r   r   omit)r   
nan_policyr   )r)   r   seedr   r`   r*   r+   r   
compressedr   r   r   )r-   r   r   r   rA   r   r]   x_maskedy_masked
res_maskedx_compressedy_compressedres_compressedres_nanr1   r1   r2   test_kendalltau_mstats_vs_stats  s,   



z(TestCorr.test_kendalltau_mstats_vs_statsc              	   C   sJ   ddddddddd}|  D ]\}}t|d |d	 }t|| qd S )
Ng遣m?g:4W?g,
:H r   gK?g(6?))rZ   iY	  )e   i	  )   r   )   r   )r'  r   )   r   )   iE&  )   i%  r   r   itemsr   _kendall_p_exactr
   r-   expectationsncr   r   r1   r1   r2   test_kendall_p_exact_medium  s   z$TestCorr.test_kendall_p_exact_mediumc                 C   sF   ddddddd}|  D ]\}}t|d |d	 }t|| qd S )
NgE?gU`Ux<?gve?gZ?g=?gG?))i  i5  )i  i\  )i   idd )i!  ih )i@  i 	 )iA  i 	 r   r   r+  r.  r1   r1   r2   test_kendall_p_exact_large  s   z#TestCorr.test_kendall_p_exact_largec                 C   s   g d}g dddddddd	d
dddddddddddddddddddddddddt j}tt||d d d! t||}d"}t||d#d$ d S )%N)#r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   rf   g-@g+@g(@g333333$@gffffff@gffffff@g333333@gffffff@g333333@r   gffffff
@g	@r   gffffff@r%   g333333@gffffff@g @r   g      ?g?r   g?皙?gffffff?r   rw   r  r   r   g/"?r   r   Tr   )r)   r   r
   r+   pointbiserialrr   r   r1   r1   r2   test_pointbiserial  sh   2zTestCorr.test_pointbiserialN)r4   r5   r6   r   r   r   r   r~   r   r   platformmachiner  slowr
  r  parametrizer$  r1  xslowr2  r   r5  r1   r1   r1   r2   r      s.    
&-
V	
r   c                   @   sT   e 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dS )TestTrimmingc                 C   s  t d}tt|g d t d}tt|dg d t d}ttj|dddg d t d}ttj|dd	d
g d t d}t |ddg< |d< tt|dg d t ddd}dgd dgd  dgd  }tj|dd	d d}t|j | tj|dd	dd}t|j | tj|dd	dd}t|jj	 | t ddd}t|d< dgd dgd  dgd  }tj|dd	d d}t|j | tj|dd	dd}t|j | tj|j	dd	dd}t|j	j | d S )NrR   
r   r   rG   rH   rI   r   r^   r   r   r   )rG   r   )
NNrG   rH   rI   r   r^   r   r   NFFlimits	inclusive)
NNNrH   rI   r   r^   r   NN)r   r  T)r?  relative)
Nr   rG   rH   rI   r   r^   r   NN   r   rf   r   )NNrG   rH   rI   Nr^   r   r   NNNrZ   r   rW   rS   )rA  r'   r{   r   )
r`   r   r	   r+   trimr   reshape_maskravelr  )r-   rO   rA   r   trimxr1   r1   r2   	test_trim  sD   




zTestTrimming.test_trimc                 C   s   t d}tt| d ttj|dd d t|dd< t|}t| d t|jd	gd
 dgd  d	gd  dgd  d	gd
   t	|_d|_
tt| d tt| d d S )NrZ   rV   r   )tailrX   r&   rW   0   r   r  r   "   rS      )rR   rR   )r`   r   r	   r+   trimbothcounttrimtailr   rE  r   shape)r-   rA   rG  r1   r1   r2   test_trim_old  s   

:zTestTrimming.test_trim_oldc                 C   sL   t d}tj|ddd}t jg dg dd}t|| t|j|j d S )NrR   )g333333?gQ?r=  r>  r<  )
r   r   r   r   r   r   r   r   r   r   r\   )r`   r   r+   trimrr*   r	   r]   )r-   rA   r  r   r1   r1   r2   
test_trimr%  s   


zTestTrimming.test_trimrc                 C   sN   t g d}tt|ddd tt|ddd tt|ddd d S )NM   W   X   r                  i  i(  i+  i2  ix  i  i  i  i  i3
  r   iW  r   )r   r   r  r  i  )r`   r*   r
   r+   trimmed_meanr-   r.   r1   r1   r2   test_trimmedmean-  s   zTestTrimming.test_trimmedmeanc                 C   N   t jd}|jdd}t |}tj|g dd}tt|d|	  d S )Nl   l{f0j rS   sizer   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r\   r   )
r)   r   default_rngsortr`   r*   r   r+   trimmed_varvarr-   rng	data_origr.   r1   r1   r2   test_trimmedvar4  
   
zTestTrimming.test_trimmedvarc                 C   rb  )Nl   /{Gzi rS   rc  re  r\   r   )
r)   r   rf  rg  r`   r*   r   r+   trimmed_stdstdrj  r1   r1   r2   test_trimmedstd>  rn  zTestTrimming.test_trimmedstdc                 C   s:   t g d}tt|ddd tt|ddd d S )NrT  r^  g>L@r   r  )r`   r*   r
   r+   trimmed_stder`  r1   r1   r2   test_trimmed_stdeH  s   zTestTrimming.test_trimmed_stdec                 C   sl   t g d}tt|djdddd tt|ddjdddd t|d< t|}t|j|j d S )	NrT  r^  r   ddofg@r=  gffff7@r   )	r`   r*   r
   r+   	winsorizeri  r   r	   r]   )r-   r.   
winsorizedr1   r1   r2   test_winsorizationN  s   
zTestTrimming.test_winsorizationc              	   C   s   t tjtjdddg}tttj|ddd tt|dt g d tt|d	t tjtjtjtjtjg ttj|dd
dt tjtjdddg ttj|d	d
dt tjtjdddg d S )Nr   r   rG   )皙?ry  raise)r  )皙?r{  r   )r3  r3  r  )	r`   r*   r)   r   r   r   r+   rv  r	   r`  r1   r1   r2   test_winsorization_nanZ  s    z#TestTrimming.test_winsorization_nanN)r4   r5   r6   rH  rQ  rS  ra  rm  rq  rs  rx  r|  r1   r1   r1   r2   r;    s    %

r;  c                	   @   s   e Zd Zg dZedddddejgZej	e	g dg dg d	g d
g dgej	g dg dg dg dg dge
ddZdddddZdd Zdd Zdd Zdd Zdd  ZdS )!TestMomentsrF   gp=
ף?g?߾?gD9?gQI?g}?5^I)gq2۪?g{!3?gr!fa?gk?gY?)gSH*:/?g#R/?g>y}zd?gV߯<?gF?)ggˠw?gyZf?g=?g!@Vyȧ?g#1?)geY(9?gD$?g;?gJX<q0?g#d?)g?gA]?g_.?g?g2^9?)TFFTF)TTTFT)FFFFF)TTTTT)FFTFFr   r\   NrP  r;   c                C   sH   t |}|d urt ||}t|| |d u r|j}|j|ks"J d S N)r)   r   broadcast_tor   r;   )r-   actualexpectrP  r;   r1   r1   r2   _assert_equal  s   

zTestMoments._assert_equalc                 C   s  t | jd}t|dd t | jd}t|d t | jd}t|d t | jd}t|d t | jg d	}t|g d
 t | jd}t|d ttt j| jd t | jg d}t|g d
 t g }| j|tj	tj
d t tjg tjd}| j|tj	tjd t jtddd}| j|g dtj
d t jg gdd}| j|tj	dtj
d t jg gddgdd}| j|g dd td}tj	|d< tt |dtj d S )Nr   r   rR   rG         ?rH   rI        @rF   )r   r  r   r  r   r   )r   rG   rH   r    r   )r   r   r   r   )r   r~  )r   )momentr'   )rG   r   )rP  g      $@r   )r+   r  testcaser
   r   r   r   r  r)   r   float64r*   float32zerosr   r	   r`   r   )r-   r   rA   r1   r1   r2   test_moment  s8   






zTestMoments.test_momentc                 C   s   t | j}t|dd d S )N%?rR   )r+   	variationr  r
   )r-   r   r1   r1   r2   test_variation  s   zTestMoments.test_variationc                 C   s*   t g d}tj|dd}t|d d S )N)r   rG   rH   rI   r   r   rt  g<<'?)r)   r*   r+   r  r
   )r-   rO   r   r1   r1   r2   test_variation_ddof  s   zTestMoments.test_variation_ddofc                 C   sN  t | j}t|dd t j| jdd}t|dd t | j}t|dd tjtg dtjg dtd	d
}t	t | j
d| t| j
D ]\}}tt |||  qHtjtg dtjg dtd	d
}t	t j| j
ddd| t| j
D ]\}}tt j|dd||  q{t	t | j
dd d f t| j
dd d f  d S )Ng7l*ҿrR   r   biasg2۠ۿr   )gҽr?r   g>HÛe?r   gIǮFFFTFr   r\   r   )g`٨?r   gn?r   g0FrG   )r+   skewtestmathworksr
   r  r`   r*   r)   boolr   testcase_2d	enumerater   r-   r   
correct_2dirowcorrect_2d_bias_correctedr1   r1   r2   test_skewness  s6   zTestMoments.test_skewnessc                 C   s^  t j| jdddd}t|dd t j| jddd}t|dd t | jdd}t|d tjtg dtjg d	td
d}t	t | j
d| t| j
D ]\}}tt |||  qNtjtg dtjg d	td
d}t	t j| j
ddd| t| j
D ]\}}tt j|dd||  qtt | j
dd d f t| j
dd d f dd d S )Nr   r   )fisherr  gO߻S@rR   gx|N@g=
ףp=?)            g'@=r   gt
Qr  r   r\   )r  r  g?<r   g`@7Fr  rG   rI   )nulp)r+   kurtosisr  r
   r  r`   r*   r)   r  r   r  r  r   r   r  r1   r1   r2   test_kurtosis  sB   


zTestMoments.test_kurtosis)r4   r5   r6   r  r`   r   r)   r   r  r*   r  r  r  r  r  r  r  r  r1   r1   r1   r2   r}  i  s6    	

	%!r}  c                   @   s   e Zd Zdd Zdd ZdS )TestModec                 C   s&  g d}t |d}t g d}t |d}tt|dk|}t|dk|}t|dk |}tt|dk |}ttj|d dd ttj|ddd ttj|d dd	 ttj|d dd ttj|d dd	 ttj|d dd
 ttj|d dd ttj|ddg dgg dgf ttj|ddg dgg dgf ttj|dddgdgdggdgdgdggf ttj|dddgdgdggdgdgdggf ttj|ddddggddggf ttj|dddgdgdggdgdgdggf tj|d d}	d}
t|	|
dd d S )N)r   r   r   r   r   r   rG   rH   rH   rH   rH   rI   r   r^   r   )rH   r   r   )rH   rG   rG   r   )rH   rI   r   )r   rH   )r   r   )rG   r   )r   r   r   r   r   r   rf   rH   r   r   )moderN  Tr   )	r)   rD  r*   r`   masked_wherer	   r+   r  r   )r-   a1a2a3a4ma1ma2ma3ma4a1_resr   r1   r1   r2   	test_mode  s0   $$00$0zTestMode.test_modec                 C   sd   t d}|d dd d f  d7  < |d d d df  d7  < | }t|d  t|| d S )N)rZ   rZ   r&   r   )r)   r  copyr+   r  r	   )r-   imcpr1   r1   r2   test_mode_modifies_input!  s   
z!TestMode.test_mode_modifies_inputN)r4   r5   r6   r  r  r1   r1   r1   r2   r    s    r  c                   @   $   e Zd Zdd Zdd Zdd ZdS )TestPercentilec                 C   s"   g d| _ g d| _g d| _d S )N)rH   rI   r   rR   r^   )rH   r   r   rI   rG   r   )r   rI   r   rR   r  r  r  r   )r  r  r  r-   r1   r1   r2   setup_method-  s   

zTestPercentile.setup_methodc                 C   sH   t dd }tt|dd tt|dd tt|dd d S )	Nr   rw   r   r   rZ   r   r&   g      ?)r)   r   r	   r+   scoreatpercentiler   r1   r1   r2   test_percentile2  s   zTestPercentile.test_percentilec                 C   sB   t g dg dg dg dg dg}tt|dg d d S )Nr   r   r   )rI   rI   rH   r&   )r`   r*   r	   r+   r  r   r1   r1   r2   test_2D8  s   
zTestPercentile.test_2DN)r4   r5   r6   r  r  r  r1   r1   r1   r2   r  ,  s    r  c                   @   s>   e Zd ZdZeddddejgZdd Z	dd	 Z
d
d ZdS )TestVariabilityz[  Comparison numbers are found using R v.1.5.1
         note that length(testcase) = 4
    r   rG   rH   rI   c                 C   sX   t | j}t|d | j }tt j| jddt||d   t j| jdd d S )Ng㝎?r   rt  rG   )r+   semr  r
   rN  r   r)   r   )r-   r   r   r1   r1   r2   test_semH  s   

"zTestVariability.test_semc                 C   s6   t | j| j}g d}t||j|jdk dd d S )N)OT\w%ܿr  OT\w?FrB  decimal)r+   zmapr  r   r.   r]   )r-   r   desired_unmaskedvalsr1   r1   r2   	test_zmapP  s
   
zTestVariability.test_zmapc                 C   s4   t | j}tddddtjg}t||dd d S )Nr  r  r  r  rB  r  )r+   zscorer  r`   r   r)   r   r
   )r-   r   r/   r1   r1   r2   test_zscoreY  s
   zTestVariability.test_zscoreN)r4   r5   r6   __doc__r`   r   r)   r   r  r  r  r  r1   r1   r1   r2   r  A  s    	r  c                   @   r  )TestMiscc                 C   s   dgd dgd  dgd  dgd  dgd  d	gd  dgdgd  dgd
  dgd  d	gd  g}ddg ddg  ddg  ddg  ddg  ddg  dgddg  d
dg  ddg  ddg  g}t ttj| jd
|d
 d S )Nr   r^   r   r   r   r   rH   rG   rR   rI   r  g_v	@g1%?g"u?gZӼ?g!u @gq&@g;pΈ$@gTR'p@g9#?gHPx?gQI?)r
   r)   r  r+   obrientransformr  )r-   argsr  r1   r1   r2   test_obrientransforme  s   :,:,zTestMisc.test_obrientransformc                 C   s   t t dddddddddddgg ddddd	d
ddddt ddt gt d	dddt d	ddddddgg}t|j}|j\}}}}ttt||dd ttt||ddd ttt||ddd d S )NrI   rG   r  r  r   r   rH   r  r^   r  r   r   r  )48E?gsA?g)g%䃞?g 	?l)r  g46<?)	r   r`   r   r  r
   r)   r  r+   ks_2samp)r-   rA   winterspringsummerfallr1   r1   r2   test_ks_2sampm  s    zTestMisc.test_ks_2sampc                 C   s   g dg dg df}t j| }t|d dd t|d dd	 ttdd
ddddddd
ddgg ddd
dd	dddddtddtgtd	dddtd	ddd
dddgg}t|}t j| }t|d dd t|d dd d}t||dd d S )N)
g      "@      #@      @      @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   g:pΈ$@rI   r   g(QGu?r^   rG   r  r  r   rH   r  r  r   r   r  gr @g-C6?	statisticr   Tr   )r+   friedmanchisquarer
   r   r`   r   r   )r-   r  r  rA   r   r1   r1   r2   test_friedmanchisq|  s$   


zTestMisc.test_friedmanchisqN)r4   r5   r6   r  r  r  r1   r1   r1   r2   r  b  s    r  c                  C   s   t ddd} dt ddd d }|t t ddd7 }t| |}tj}tt|| d}t	||dd d	t
|v s?J t|jd
 t|jd t|jd t|jd d S )Nr   rZ   r  rR   rS   )slope	interceptrvaluer   stderrTr   intercept_stderrg5E%?g +l$@g4_Qc?g8?)r)   r   sinr+   
linregressr   LinregressResultr   
isinstancer   dirr
   r  r  r  r  )rA   r   r  lrr   r1   r1   r2   test_regress_simple  s   r  c                  C   sX   t d} t jd}d}tt|d t| | W d    d S 1 s%w   Y  d S )NrR   zBCannot calculate a linear regression if all x values are identicalr   )r)   r  r   r   r   r+   r  )rA   r   msgr1   r1   r2   test_linregress_identical_x  s   
"r  c                   @   s,   e Zd Zdd Zdd Zdd Zdd Zd	S )
TestTheilslopesc                 C   sd  t g d\}}}}t|d t|d t jg ddd\}}}}t|d t|d tjjg dg dd}t |\}}}}t|d	 t|d
 t j|dd\}}}}t|d	 t|d g d}g d}t ||d\}}}}t|d t|d t|ddd t|ddd t j||ddd\}}}}t|d t|d t|ddd t|ddd d S )N)r   r   r   rw   jointr   r   )r   r   rZ   r   )FFTFr\   r_   gUUUUUU?)r   rG   rH   rI   rR   rB  r  )r         rS   r   7   N   gQ?rI   r    gQ@rG   r  gGz@r   )r+   theilslopesr
   r)   r`   r*   )r-   r  r  lowerupperr   rA   r1   r1   r2   test_theilslopes  s>   













z TestTheilslopes.test_theilslopesc                 C   s   d}t jt|d tddgddg}tt|sJ W d    n1 s(w   Y  t $}|	td tg dg d}t
|ddtjtjf W d    d S 1 sWw   Y  d S )NzFAll `x` coordinates.*|Mean of empty slice.|invalid value encountered.*r   r   r   zinvalid value encountered...r   r   r   )r   r   r   )r~   warnsr   r+   r  r)   allisnanr   filterr   r   )r-   r  r   supr1   r1   r2   test_theilslopes_warnings  s   "z)TestTheilslopes.test_theilslopes_warningsc                 C   sd   g d}g d}t ||\}}}}t ||}t||j t||j t||j t||j dS )zv
        Simple test to ensure tuple backwards-compatibility of the returned
        TheilslopesResult object
        r   rG   rI   rI   r^   r   N)r+   r  r	   r  r  	low_slope
high_slope)r-   r   rA   r  r  r  r  r  r1   r1   r2   'test_theilslopes_namedtuple_consistency  s   z7TestTheilslopes.test_theilslopes_namedtuple_consistencyc                 C   s@   t jd}|jdddt jd}t||}t j|j	d d S )Nl   U5<H r      rR   )rd  r;   r   )
r)   r   rf  integersuint8r   r  testingr   r  )r-   rk  r   r   r1   r1   r2   test_gh19678_uint8  s   z"TestTheilslopes.test_gh19678_uint8N)r4   r5   r6   r  r  r  r  r1   r1   r1   r2   r    s
    'r  c                  C   s2  dt d d } tt| d ttj| ddd dt d }d| d } tt| |d	 ttj| |ddd	 d
| d d< tt| |d	 t d}dd|  tjjddd } t|| \}}}}}t| |\}}t	||dd t	||dd tj| |dd\}}t	||dd t	||dd d S )NrG   rR   rw   )r   rw   separater   r   r   )r  r  r  rI   gffffffr      rd  random_stater   r<   )
r)   r   r	   r+   siegelslopesr   normrvsr  r   )r   rA   	slope_olsintercept_ols_r  r  r1   r1   r2   test_siegelslopes  s$   
r  c                  C   sH   g d} g d}t | |\}}t | |}t||j t||j dS )zl
    Simple test to ensure tuple backwards-compatibility of the returned
    SiegelslopesResult object.
    r  r  N)r+   r  r	   r  r  )r   rA   r  r  r  r1   r1   r2   (test_siegelslopes_namedtuple_consistency  s   r  c                     s   t jd} | jddt\}}dd  tdD ]}tt  d d |f ||  qt  fddtj	d	 D }tt || d S )
Nl   ,'  )rZ   rI   rc  c                 S   sj   t | }t|}| | d d tjf  }||d d tjf  }tjtj||ftddd}|| ||  S )Nr   r   )k)lenr)   r   newaxistriuonesr  )yir   rA   dydxr]   r1   r1   r2   dijk0  s   
z&test_sen_seasonal_slopes.<locals>.dijkrI   c                    s    g | ]} d d |f qS r  r1   ).0r  r!  rA   r1   r2   
<listcomp>;  s     z,test_sen_seasonal_slopes.<locals>.<listcomp>r   )
r)   r   rf  r+   sen_seasonal_slopesr   r   medianr  rP  )rk  intra_slopeinter_sloper  
all_slopesr1   r#  r2   test_sen_seasonal_slopes*  s   &$r*  c                  C   s.   t tddd} t| jtg d d S )NrH   r   )rK   rw   r   )r+   plotting_positionsr)   r   r   r.   r*   )posr1   r1   r2   test_plotting_positions?  s   r-  c                   @   sx   e Z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ddge
jdddgdd Zdd ZdS )TestNormalitytestsc              	   C   s   t dd }tt|t| tt|t| tt|t| tjtjtjg}tjtjtjg}g d}t||D ]5\}}t	j
ttd ||}t |jsYJ t |jsaJ W d    n1 skw   Y  tt|| qAd S )Nr  rf   r   r   rG   rH   r  rf   r   r   rG   rH   r  rf   r   r   rG   rH   r  rf   r   r   rG   rH   rG   rF   r   )r)   r*   r   r+   
normaltestr   skewtestkurtosistestzipr~   r  r   r   r  r  r   r   r   )r-   rA   funcsmfuncsfuncmfuncr   r1   r1   r2   test_vs_nonmaskedH  s*   


z$TestNormalitytests.test_vs_nonmaskedc                 C   s`   t dd }ttj|d dt| ttj|d dt| ttj|d dt| d S )Nr/  rG   r   )r)   r*   r   r+   r0  r1  r2  r   r1   r1   r2   test_axis_None[  s   z!TestNormalitytests.test_axis_Nonec                 C   s   t dd }t jjt jt j|df t jddg|j df d}tt|t	| tt
|t	
| tt|t	| d S )Nr/  rG   rR   TFr\   )r)   r*   r`   r_infrd  r   r+   r0  r   r1  r2  )r-   rA   xmr1   r1   r2   test_maskedarray_inputc  s   z)TestNormalitytests.test_maskedarray_inputc                 C   sz   t dd }t |gd j}tjtjtjfD ]"}||}||}t|d |d gd  t|d |d gd  qd S )Nr/  rG   r   r   )	r)   r*   vstackr  r+   r0  r1  r2  r   )r-   rA   x_2dr6  res_1dres_2dr1   r1   r2   test_nd_inputl  s   z TestNormalitytests.test_nd_inputc                 C   .   t dd }t|}d}t||dd d S Nr/  rG   r  Tr   )r)   r*   r+   r0  r   r-   rA   r   r   r1   r1   r2   !test_normaltest_result_attributesu     
z4TestNormalitytests.test_normaltest_result_attributesc                 C   rC  rD  )r)   r*   r+   r2  r   rE  r1   r1   r2   #test_kurtosistest_result_attributes{  rG  z6TestNormalitytests.test_kurtosistest_result_attributesc                 C   s<   g d}t dd t|D }tt|d dk d d S )N)
   r   :   r   r   )   r  r   r      c                 S   s   g | ]
\}}t ||qS r1   )r)   full)r"  r  cr1   r1   r2   r$    s    z;TestNormalitytests.test_regression_9033.<locals>.<listcomp>r   g{Gz?T)r)   hstackr  r	   r+   r2  )r-   countsrA   r1   r1   r2   test_regression_9033  s   z'TestNormalitytests.test_regression_9033testr1  r2  r   r   r   c           
      C   s   t jjddddd}tt |}tt|}|||d\}}|||d\}}	t||dd t|	|dd tj|d	d
< tjj	|t
|d}|| |d\}}|||d\}}	t||dd t|	|dd d S )NrR   r%   rT   {   locscalerd  r  r   g-q=atolr   r   r\   )r   r  r  getattrr+   r   r)   r   r`   r   r  r  )
r-   rR  r   rA   
stats_testmstats_testz_exp_exr  r   r1   r1   r2   test_alternative  s   

z#TestNormalitytests.test_alternativec                 C   s   t jjddd}d}tjt|d tj|dd W d    n1 s#w   Y  tjt|d tj|dd W d    d S 1 sBw   Y  d S )NrS   rS  r  z`alternative` must be...r   r   r   )	r   r  r  r~   r   r   r+   r1  r2  )r-   rA   r  r1   r1   r2   test_bad_alternative  s   "z'TestNormalitytests.test_bad_alternativeN)r4   r5   r6   r8  r9  r=  rB  rF  rH  rQ  r~   r   r9  r^  r_  r1   r1   r1   r2   r.  E  s    		r.  c                   @   r   )TestFOnewayc                 C   sJ   t jddgt jd}t jddgt jd}t||}d}t||dd d S )	Ni  i  r   i  i  r  Tr   )r)   r*   uint16r+   f_onewayr   )r-   rO   r  r   r   r1   r1   r2   test_result_attributes  s
   z"TestFOneway.test_result_attributesNr4   r5   r6   rc  r1   r1   r1   r2   r`    r7   r`  c                   @   s8   e Zd Zeg dZeg dZdd Zdd ZdS )TestMannwhitneyu)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   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   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   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   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   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   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   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   r   r   r   r   r   r   r   r   r   r   c                 C   s&   t | j| j}d}t||dd d S )Nr  Tr   )r+   mannwhitneyurA   r   r   )r-   r   r   r1   r1   r2   rc    s   z'TestMannwhitneyu.test_result_attributesc                 C   sB   t | j| j}t| j| j}|j|jksJ t|j|j d S r  )r+   rf  rA   r   r   r  r   r   )r-   res1res2r1   r1   r2   test_against_stats  s   z#TestMannwhitneyu.test_against_statsN)	r4   r5   r6   r)   r*   rA   r   rc  ri  r1   r1   r1   r2   re    s
    re  c                   @   r   )TestKruskalc                 C   s2   g d}g d}t ||}d}t||dd d S )N)r   rH   r   r   r   )rG   rI   r^   r   rR   r  Tr   )r+   kruskalr   r   r1   r1   r2   rc    s
   z"TestKruskal.test_result_attributesNrd  r1   r1   r1   r2   rj    r7   rj  c                   @   s^   e Z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ddgdd ZdS )TestTtest_relc                 C   sr  t jd t jddg d }t|d d df |d d df }t|d d df |d d df }t|| tj|d d df |d d df d d}tj|d d df |d d df d d}t|| tj|d d d df |d d dd f dd}tj|d d d df |d d dd f dd}t|| t|d d d df |d d dd f }t|| d S )	N rS   rI   r   r   r   rG   r   r   r   rG   )r)   r   r  randnr   	ttest_relr+   r   )r-   outcomerg  rh  res3r1   r1   r2   r8    s   $$
((
00
,zTestTtest_rel.test_vs_nonmaskedc                 C      t jd tjt jddg dg dgd}t E}|td |d d df |d d d	f ft j	t j	gd
dgffD ]}t
j| \}}t|t j	t j	f t|t j	t j	f q<W d    d S 1 scw   Y  d S Nrm  rH   rG   r  r  r\   %invalid value encountered in absoluter   r   r   r   )r)   r   r  r`   r   ro  r   r   r   r   r+   rp  r   r-   rq  r  pairtr   r1   r1   r2   test_fully_masked  s   "zTestTtest_rel.test_fully_maskedc                 C   \   t jd t jddg d }t|d d df |d d df }d}t||dd	 d S 
Nrm  rS   rI   rn  r   r   r  Tr   )r)   r   r  ro  r+   rp  r   r-   rq  r   r   r1   r1   r2   rc    
   $z$TestTtest_rel.test_result_attributesc              	   C   sz   t ttjtdtd td}t ttj|ddd|ddddd t ttj|ddd|ddddd d S )	NrR   r   rJ   rG   rH   rI   r   r   )r   r   r+   rp  r)   r   rD  r   r1   r1   r2   test_invalid_input_size  s   

z%TestTtest_rel.test_invalid_input_sizec                 C   $   t g g }ttt| d S r  )r+   rp  r   r)   r  r  r-   rg  r1   r1   r2   
test_empty      zTestTtest_rel.test_emptyc                 C   s   t g dg d\}}tt||ftjdf t 3}|td t g dg d\}}t	|t
tjtjg t	|t
tjtjg W d    d S 1 sRw   Y  d S )Nr  r  r   ru  )r+   	ttest_indr	   r)   absr;  r   r   r   r   r*   r   r-   rx  r   r  r1   r1   r2   test_zero_division$  s   "z TestTtest_rel.test_zero_divisionc                 C   P   d}t jt|d tjg dg ddd W d    d S 1 s!w   Y  d S N4alternative must be 'less', 'greater' or 'two-sided'r   r   rG   rH   )rI   r   r^   foor   r~   r   r   r+   r  r-   r  r1   r1   r2   r_  .     "z"TestTtest_rel.test_bad_alternativer   r   r   c                 C   s  t jjddddd}t jjddddd}t j|||d\}}tj|||d\}}t||d	d
 t||d	d
 tj|dd< tj|dd< tjj	|t
|d}tjj	|t
|d}tj|||d\}}t j| | |d\}}t||d	d
 t||d	d
 d S )NrR   r   r   *   rT  r   rG   r   rL   r<   r   r\   )r   r  r  rp  r+   r   r)   r   r`   r   r  r  r-   r   rA   r   t_exr]  rx  r   r1   r1   r2   r^  3  s    
zTestTtest_rel.test_alternativeN)r4   r5   r6   r8  ry  rc  r~  r  r  r_  r~   r   r9  r^  r1   r1   r1   r2   rl    s    	
rl  c                   @   V   e Zd Zdd Zdd Zdd Zdd Zd	d
 Zdd Ze	j
dddgdd ZdS )TestTtest_indc                 C   s&  t jd t jddg d }t|d d df |d d df }t|d d df |d d df }t|| tj|d d df |d d df d d}tj|d d df |d d df d d}t|| tj|d d d df |d d dd f dd}tj|d d d df |d d dd f dd}t|| t|d d d df |d d dd f }t|| tj|d d df |d d df d	d
}tj|d d df |d d df d	d
}t|| tj|d d df |d d df dd
}tj|d d df |d d df dd
}t|| d S )Nrm  rS   rI   rn  r   r   r   rG   T	equal_varF)r)   r   r  ro  r   r  r+   r   )r-   rq  rg  rh  rr  res4res5r1   r1   r2   r8  J  s&   $$
((
00
,
((
((zTestTtest_ind.test_vs_nonmaskedc                 C   rs  rt  )r)   r   r  r`   r   ro  r   r   r   r   r+   r  r   rv  r1   r1   r2   ry  g  s   $"zTestTtest_ind.test_fully_maskedc                 C   rz  r{  )r)   r   r  ro  r+   r  r   r|  r1   r1   r2   rc  r  r}  z$TestTtest_ind.test_result_attributesc                 C   r  r  )r+   r  r   r)   r  r  r  r1   r1   r2   r  z  r  zTestTtest_ind.test_emptyc                 C   s   t g dg d\}}tt||ftjdf t ,}|td t g dg d\}}t	|tj
tj
f t	|tj
tj
f W d    n1 sKw   Y  t jg dg ddd\}}tt||ftjdf t	t jg dg dddtj
tj
f d S )Nr  r  r   ru  Fr  )r+   r  r	   r)   r  r;  r   r   r   r   r   r  r1   r1   r2   r  ~  s   
z TestTtest_ind.test_zero_divisionc                 C   r  r  r  r  r1   r1   r2   r_    r  z"TestTtest_ind.test_bad_alternativer   r   r   c                 C   s  t jjddddd}t jjddddd}t j|||d\}}tj|||d\}}t||dd	 t||dd	 tj|d
d< tj|dd< tjj	|t
|d}tjj	|t
|d}t j| | |d\}}tj|||d\}}t||dd	 t||dd	 d S )NrR   rG   rZ   rS  rT  r   r   rL   r<   r   rX   rY   r\   )r   r  r  r  r+   r   r)   r   r`   r   r  r  r  r1   r1   r2   r^    s    
zTestTtest_ind.test_alternativeNr4   r5   r6   r8  ry  rc  r  r  r_  r~   r   r9  r^  r1   r1   r1   r2   r  I  s    r  c                   @   r  )TestTtest_1sampc                 C   s`   t jd t jddg d }t|d d df d}t|d d df d}t|| d S )Nrm  rS   rI   rn  r   r   )r)   r   r  ro  r   ttest_1sampr+   r   )r-   rq  rg  rh  r1   r1   r2   r8    s
   z!TestTtest_1samp.test_vs_nonmaskedc                 C   s   t jd tjt jdg dd}t jt jf}t /}|t	d t jt jfdf|dffD ]}t
j| \}}t|| t|| q/W d    d S 1 sNw   Y  d S )Nrm  rH   r  r\   ru  r   )r)   r   r  r`   r   ro  r   r   r   r   r+   r  r   )r-   rq  r   r  rw  rx  r   r1   r1   r2   ry    s   
"z!TestTtest_1samp.test_fully_maskedc                 C   sP   t jd t jddg d }t|d d df d}d}t||dd	 d S r{  )r)   r   r  ro  r+   r  r   r|  r1   r1   r2   rc    s
   z&TestTtest_1samp.test_result_attributesc                 C   s$   t g d}ttt| d S )Nr   )r+   r  r   r)   r  r  r  r1   r1   r2   r    r  zTestTtest_1samp.test_emptyc                 C   s   t g dd\}}tt||ftjdf t )}|td t g dd\}}t	t
| t|tjtjf W d    d S 1 sFw   Y  d S )Nr  r   r   ru  )r+   r  r	   r)   r  r;  r   r   r   r   r  r   r   r  r1   r1   r2   r    s   "z"TestTtest_1samp.test_zero_divisionc                 C   sL   d}t jt|d tjg dddd W d    d S 1 sw   Y  d S )Nr  r   r  rI   r  r   )r~   r   r   r+   r  r  r1   r1   r2   r_    s   "z$TestTtest_1samp.test_bad_alternativer   r   r   c                 C   s   t jjddddd}t j|d|d\}}tj|d|d\}}t||dd	 t||dd	 tj|d
d< tjj	|t
|d}t j| d|d\}}tj|d|d\}}t||dd	 t||dd	 d S )NrR   rG   rZ   rS  rT  r   r   rL   r<   r   r\   )r   r  r  r  r+   r   r)   r   r`   r   r  r  )r-   r   rA   r  r]  rx  r   r1   r1   r2   r^    s   
z TestTtest_1samp.test_alternativeNr  r1   r1   r1   r2   r    s    	
r  c                   @   s   e Zd ZdZdd ZdS )TestDescribez
    Tests for mstats.describe.

    Note that there are also tests for `mstats.describe` in the
    class TestCompareWithStats.
    c                 C   s   t jjg dg dgg dg dgd}tj|dd}t|jdd	g |j\}}t|d
dg t|d	dg t|jddg t|j	ddg t|j
ddg t|jddg d S )N)r   r   rG   rH   rI   r   )r   r   r   r   rH   rH   )r   r   r   r   r   r   )r   r   r   r   r   r   r\   r   r   r   rI   r   rH   r   r    r   r   g       )r)   r`   r   r+   describer	   nobsminmaxmeanvarianceskewnessr   r  )r-   rO   r  aminamaxr1   r1   r2   test_basic_with_axis  s    
z!TestDescribe.test_basic_with_axisN)r4   r5   r6   r  r  r1   r1   r1   r2   r    s    r  c                   @   s8  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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$d% Zd&d' Zd(d) Zd*d+ Zd,d- Zd.d/ Zd0d1 Zd2d3 Zd4d5 Zd6d7 Zd8d9 Zd:d; Z d<d= Z!d>d? Z"d@dA Z#dBdC Z$dDdE Z%dFdG Z&dHdI Z'dJdK Z(dLS )MTestCompareWithStatsa  
    Class to compare mstats results with stats results.

    It is in general assumed that scipy.stats is at a more mature stage than
    stats.mstats.  If a routine in mstats results in similar results like in
    scipy.stats, this is considered also as a proper validation of scipy.mstats
    routine.

    Different sample sizes are used for testing, as some problems between stats
    and mstats are dependent on sample size.

    Author: Alexander Loew

    NOTE that some tests fail. This might be caused by
    a) actual differences or bugs between stats and mstats
    b) numerical inaccuracies
    c) different definitions of routine interfaces

    These failures need to be checked. Current workaround is to have disabled these
    tests, but issuing reports on scipy-dev

    c                 C   s   g dS )z9 Returns list of sample sizes to be used for comparison. )r  rZ   rR   r   r1   r  r1   r1   r2   get_n  s   zTestCompareWithStats.get_nc                 C   s   t jd t j|}|t j| }t t|d d}t t|d d}||dt|< ||dt|< |dk}t jj||d}t jj||d}||||fS )Nrm  r   g 7yACr   g s?Cr\   )r)   r   r  ro  rM  r  r`   r*   )r-   r   rA   r   r<  ymr]   r1   r1   r2   generate_xy_sample  s   z'TestCompareWithStats.generate_xy_samplec           
      C   s   t ||ft j}t ||ft j}t |d |ft j}t |d |ft j}t|D ]}| |\|d d |f< |d d |f< }}	q,|d| |d|d d f< |d| |d|d d f< t jj|t |d}t jj|t |d}||||fS )Nr   r   r\   )r)   rM  r   r   r  r`   r*   r  )
r-   r   nxrA   r   r<  r  r  r   r  r1   r1   r2   generate_xy_sample2D.  s   ,z)TestCompareWithStats.generate_xy_sample2Dc                 C   sT   |   D ]#}| |\}}}}t||}tj||}tt|t| qd S r  )r  r  r   r  r+   r   r)   r   )r-   r   rA   r   r<  r  result1result2r1   r1   r2   test_linregress=  s   z$TestCompareWithStats.test_linregressc           
      C   sb   |   D ]*}| |\}}}}t||\}}tj||\}}	t||dd t||	dd qd S )NrL  r  )r  r  r   r   r+   r
   
r-   r   rA   r   r<  r  r   r   rmpmr1   r1   r2   r   D  s   z"TestCompareWithStats.test_pearsonrc           
      C   s^   |   D ](}| |\}}}}t||\}}tj||\}}	t||d t||	d qd S NrL  )r  r  r   r   r+   r
   r  r1   r1   r2   r   M  s   z#TestCompareWithStats.test_spearmanrc                 C   s    t d}tttj||d d S )Nr^   F)r)   r   r   r   r+   r   r   r1   r1   r2   !test_spearmanr_backcompat_usetiesU  s   
z6TestCompareWithStats.test_spearmanr_backcompat_usetiesc                 C   s|   |   D ]7}| |\}}}}tt|}tjt|}t||dd tt|}tjt|}t||dd qd S )NgvIh%<=r<   )r  r  r   r>   r  r+   r   r-   r   rA   r   r<  r  r   r  r1   r1   r2   
test_gmean[  s   zTestCompareWithStats.test_gmeanc                 C   sx   |   D ]5}| |\}}}}tt|}tjt|}t||d tt|}tjt|}t||d qd S NrR   )r  r  r   rC   r  r+   r
   r  r1   r1   r2   
test_hmeanf  s   zTestCompareWithStats.test_hmeanc                 C   h   |   D ]-}| |\}}}}t|}tj|}t||d t|}tj|}t||d qd S r  )r  r  r   r  r+   r
   r  r1   r1   r2   	test_skewr     

zTestCompareWithStats.test_skewc                 C   r  r  )r  r  r   r  r+   r
   r  r1   r1   r2   r  ~  r  z TestCompareWithStats.test_momentc              	   C   s   |   D ][}| |\}}}}||  |  }||  |  }tt||dd tt||dd tt|tj|dt| dd tt|tj|dt| dd qd S )N绽|=r<   r   )	r  r  r  rp  r   r   r  r+   r  )r-   r   rA   r   r<  r  zxzyr1   r1   r2   r    s     z TestCompareWithStats.test_zscorec                 C   r  r  )r  r  r   r  r+   r
   r  r1   r1   r2   r    s   

z"TestCompareWithStats.test_kurtosisc           
      C   s  t ddd}t j|}tj|dd}tjj|dd}t|ddd t|ddd | 	 D ][}| 
|\}}}}	ttjj|d d	d
tj|d d	d
dd ttjj|	d d	d
tj|d d	d
dd ttjj|d dd
tj|d dd
dd ttjj|	d dd
tj|d dd
dd q0d S )NrS   r   rI   r   rt  g'e@gh㈵>rW  r   )r'   ru     r  )r)   r   rD  r`   r*   r   r  r+   r   r  r  r
   )
r-   rO   amr   r  r   rA   r   r<  r  r1   r1   r2   r    s*   zTestCompareWithStats.test_semc           	      C   sr   |   D ]2}| |\}}}}tj|dd}tjj|dd}tdD ]}tt|| t|| dd q"qd S )Nr   rt  r^   rB  r  )	r  r  r   r  r+   r   r
   r)   r   )	r-   r   rA   r   r<  r  r   r  iir1   r1   r2   test_describe  s   z"TestCompareWithStats.test_describec                 C   s&   t td}d}t||dd d S )Nr   )r  r  r  r  r  r  Tr   )r+   r  r)   r   r   )r-   r  r   r1   r1   r2   test_describe_result_attributes  s   z4TestCompareWithStats.test_describe_result_attributesc                 C   sD   |   D ]}| |\}}}}t|}tj|}t|| qd S r  )r  r  r   r   r+   r   r  r1   r1   r2   test_rankdata  s   
z"TestCompareWithStats.test_rankdatac                 C   sX   |   D ]%}| |\}}}}tt|tj|d tt|tj|d qd S r  )r  r  r
   r   tmeanr+   r-   r   rA   r   r<  r  r1   r1   r2   
test_tmean  s
   zTestCompareWithStats.test_tmeanc                 C   s   |   D ]K}| |\}}}}tt|dtj|dd tt|dtj|dd ttj|ddtjj|ddd ttj|ddtjj|ddd qd S )Nr   rR   r   )
upperlimit)r  r  r
   r   tmaxr+   r  r1   r1   r2   	test_tmax  s   zTestCompareWithStats.test_tmaxc                 C   s   |   D ]E}| |\}}}}tt|tj| tt|tj| ttj|ddtjj|ddd ttj|ddtjj|ddd qd S )Nr   )
lowerlimitrR   )r  r  r	   r   tminr+   r
   r  r1   r1   r2   	test_tmin  s   zTestCompareWithStats.test_tminc                 C   sX   |   D ]%}| |\}}}}t||}tj||}t||dt| dd qd S )Nr   r  rW  )r  r  r   r  r+   r   r  )r-   r   rA   r   r<  r  r  zmr1   r1   r2   r    s   zTestCompareWithStats.test_zmapc                 C   \   |   D ]'}| |\}}}}tt|tj|dd tt|tj|dd qd S NrB  r  )r  r  r
   r   r  r+   r  r1   r1   r2   r       z#TestCompareWithStats.test_variationc                 C   r  r  )r  r  r
   r   tvarr+   r  r1   r1   r2   	test_tvar   r  zTestCompareWithStats.test_tvarc                 C   sB   t d}t|d}tj|d}tt ||j|j   d S )NrS   r   )	r)   r   r   rM  r+   r   rg  r.   r]   )r-   rO   r  bmr1   r1   r2   test_trimboth  s   
z"TestCompareWithStats.test_trimbothc                 C   s   |   D ]9}| |\}}}}tt|tj|dd tt|tj|dd ttj|ddtjj|dddd qd S )NrL  r  )r  r   )r?  )r  r  r
   r   tsemr+   r  r1   r1   r2   	test_tsem  s   zTestCompareWithStats.test_tsemc                 C   sL   |   D ]}|dkr#| |\}}}}t|}tj|}t|| qd S )Nr   )r  r  r   r1  r+   r   r  r1   r1   r2   test_skewtest  s   

z"TestCompareWithStats.test_skewtestc                 C   rC  rD  )r)   r*   r+   r1  r   rE  r1   r1   r2   test_skewtest_result_attributes"  rG  z4TestCompareWithStats.test_skewtest_result_attributesc                 C   s@   t jdd }t|}tj|}tt |t | d S )N)rS   rG   g      4@)r)   r   r   r1  r+   r   r   )r-   rA   r   r  r1   r1   r2   test_skewtest_2D_notmasked(  s   
z/TestCompareWithStats.test_skewtest_2D_notmaskedc           	      C   s   d}|   D ]9}|dkr?| ||\}}}}t|}tj|}t|d d |d d dd t|d d |d d dd qd S )NrG   r   r   rL   r<   r   )r  r  r   r1  r+   r   )	r-   r  r   rA   r   r<  r  r   r  r1   r1   r2   test_skewtest_2D_WithMask/  s   
z.TestCompareWithStats.test_skewtest_2D_WithMaskc           	   	   C   s   t jddZ t >}|td |td |  D ]%}|dkr@| |\}}}}t|}tj	|}t
t |t | qW d    n1 sKw   Y  W d    d S W d    d S 1 scw   Y  d S )Nrz  )overz(`kurtosistest` p-value may be inaccuratez!kurtosistest only valid for n>=20r   )r)   ri   r   r   UserWarningr  r  r   r0  r+   r   r   )	r-   r  r   rA   r   r<  r  r   r  r1   r1   r2   test_normaltest:  s   
Pz$TestCompareWithStats.test_normaltestc                 C   s   t g dd}t g dd}|dk}t jj||d}| | }}t j|dd\}}||dk ||dk f}	tj	|}
t
|	|
 t
|| t
|| tj	g \}}t
|t jd	t jd
 d S )N)r   r   rG   rG   rH   rH   rH   rI   rI   rI   rI   r  )r   r   rG   rG   rH   rH   rH   rI   rI   rI   rI   r   r   r   r   r  r\   T)return_countsr   r   r   )r)   r   ro   r`   r*   r  uniquer   r+   find_repeatsr	   intp)r-   rA   tmpr]   r<  x_origxm_origr  unique_countsr   r  r  rP  r1   r1   r2   test_find_repeatsE  s   


z&TestCompareWithStats.test_find_repeatsc                 C   sj   |   D ].}| |\}}}}t||}tj||}t|d |d dd t|d |d dd qd S )Nr   rR   r  r   r   )r  r  r   r   r+   r
   r  r1   r1   r2   r  Y  s   z$TestCompareWithStats.test_kendalltauc                 C   sR   |   D ]"}| |\}}}}t|}tj|}t|j|dt|  qd S )Nr   )r  r  r   r  r+   r
   r  r  r  r1   r1   r2   r  a  s   
z)TestCompareWithStats.test_obrientransformc              
   C   s   dD ]b}t  U dD ]J}|  D ]C}| |\}}}}tj|tjj||d}tjj|tjj||d}	tt	
|t	
|	 tj|tjj||d}
tt	
|t	
|
 qq
W d   n1 s_w   Y  qdS )zFChecks that mstats.ks_1samp and stats.ks_1samp agree on masked arrays.autor  asympr   r   r  r   r  N)r   r  r  r   ks_1sampr  cdfr+   r	   r)   r   r-   r  r   r   rA   r   r<  r  rg  rh  rr  r1   r1   r2   test_ks_1samph  s*   z"TestCompareWithStats.test_ks_1sampc              
   C   s   dD ]\}t  O dD ]D}|  D ]=}| |\}}}}tj|d||d}tjj|d||d}	tt|t|	 tj|d||d}
tt|t|
 qq
W d   n1 sYw   Y  qdS )z]
        Checks that 1-sample mstats.kstest and stats.kstest agree on masked arrays.
        r  r  r  r  N)	r   r  r  r   kstestr+   r	   r)   r   r  r1   r1   r2   test_kstest_1sampx  s*   
z&TestCompareWithStats.test_kstest_1sampc              
   C      dD ]h}t  [}|dv rd}|t| dD ]D}|  D ]=}| |\}}}}	tj||||d}
tjj||	||d}tt	
|
t	
| tj||||d}tt	
|
t	
| qqW d   n1 sew   Y  qdS )zVChecks that mstats.ks_2samp and stats.ks_2samp agree on masked arrays.
        gh-8431r  r  r  )ks_2samp: Exact calculation unsuccessful.r  r  N)r   r   r   r  r  r   r  r+   r	   r)   r   r-   r  r  messager   r   rA   r   r<  r  rg  rh  rr  r1   r1   r2   r    s0   
z"TestCompareWithStats.test_ks_2sampc              
   C   r  )z]
        Checks that 2-sample mstats.kstest and stats.kstest agree on masked arrays.
        r  r  r  r  r  N)r   r   r   r  r  r   r  r+   r	   r)   r   r  r1   r1   r2   test_kstest_2samp  s0   
z&TestCompareWithStats.test_kstest_2sampN))r4   r5   r6   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   r1   r1   r2   r    sN    	
	r  c                   @   s   e Zd ZejdddddejdddddddddejgZejddddejdddddddg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S )TestBrunnerMunzelr   rG   rI   rH   r   rL  c           	      C   s   t j| j| jdd\}}t j| j| jdd\}}t j| j| jdd\}}t j| j| jdd\}}t||| jd t||| jd t||k t|d| jd t|d| jd t|d| jd t|d| jd t|d| jd t|d| jd d S )	Nr   r   r   r  |	&	@|	&	gҏGg?g@-pL?)r+   brunnermunzelXYr
   significantr   )	r-   u1r   u2r   u3r   u4p4r1   r1   r2   test_brunnermunzel_one_sided  s2   
z.TestBrunnerMunzel.test_brunnermunzel_one_sidedc                 C   t   t j| j| jdd\}}t j| j| jdd\}}t||| jd t|d| jd t|d| jd t|d| jd d S )Nr  r   r  r  r   ҏGw?r+   r  r  r  r
   r  r-   r  r   r   r   r1   r1   r2   test_brunnermunzel_two_sided  s   
z.TestBrunnerMunzel.test_brunnermunzel_two_sidedc                 C   sl   t | j| j\}}t | j| j\}}t||| jd t|d| jd t|d| jd t|d| jd d S )Nr  r  r  r  r  r  r1   r1   r2   test_brunnermunzel_default  s   
z,TestBrunnerMunzel.test_brunnermunzel_defaultc                 C   0   d}d}t |dv tttj| j| j|| d S )Nr   rx  r  r   r   r   r+   r  r  r  r-   r   distributionr1   r1   r2   $test_brunnermunzel_alternative_error     z6TestBrunnerMunzel.test_brunnermunzel_alternative_errorc                 C   r  )Nnormal)r  r  r  r  g "H[?r  r  r1   r1   r2   $test_brunnermunzel_distribution_norm  s   
z6TestBrunnerMunzel.test_brunnermunzel_distribution_normc                 C   r  )Nr  r   )rx  r  r  r  r1   r1   r2   %test_brunnermunzel_distribution_error  r  z7TestBrunnerMunzel.test_brunnermunzel_distribution_errorc                 C   s   t | jg \}}t g | j\}}t g g \}}tt| tt| tt| tt| tt| tt| d S r  )r+   r  r  r  r   r)   r  )r-   r  r   r   r   r  r   r1   r1   r2   test_brunnermunzel_empty_imput  s   z0TestBrunnerMunzel.test_brunnermunzel_empty_imputN)r4   r5   r6   r)   r`   masked_invalidr   r  r  r  r  r	  r
  r  r  r  r  r1   r1   r1   r2   r    s    &r  )NNr8   )Cr  r   r6  numpyr)   r   numpy.mar`   r   r   scipy.stats.mstatsr   r+   scipycommon_testsr   r~   r   r   numpy.ma.testutilsr	   r
   r   r   r   r   r   numpy.testingr   scipy.statsr   r   scipy.conftestr   scipy.stats._axis_nan_policyr   r   r   rB   rD   rE   r   r   r   r;  r}  r  r  r  r  r  r  r  r  r  r*  r-  r.  r`  re  rj  rl  r  r  r  r  r  r1   r1   r1   r2   <module>   sz    $

<$  >x ) 0Mb	1\_C   3