o
    '&i T                    @   sD  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 G dd dZdMddZ dMddZ!G dd dZ"G dd dZ#G dd dZ$G dd dZ%G dd dZ&G dd dZ'G dd  d Z(G d!d" d"Z)G d#d$ d$Z*G d%d& d&Z+d'd( Z,d)d* Z-d+d, Z.d-d. Z/d/d0 Z0d1d2 Z1d3d4 Z2d5d6 Z3d7d8 Z4G d9d: d:Z5G d;d< d<Z6G d=d> d>Z7G d?d@ d@Z8G dAdB dBZ9G dCdD dDZ:G dEdF dFZ;G dGdH dHZ<G dIdJ dJZ=G dKdL dLZ>dS )Nz?
Tests for the stats.mstats module (support for masked arrays)
    N)nan)maskednomask)stats   )check_named_results)raises)assert_equalassert_almost_equalassert_array_almost_equalassert_array_almost_equal_nulpassert_assert_allcloseassert_array_equal)suppress_warnings)_mstats_basicc                   @      e Zd Zdd ZdS )TestMquantilesc                 C   s   t g dg dg dg dg dg dg dg dg d	g d
g dg}g dg dg dg}tj|ddd}t|| d S )N)      @      @      ?)g     G@      .@       @)g     H@      B@      @)r        C@      @)      E@      D@     8)     D@r    r   )r   r   r   )r   r   r   )g     E@r   r   )r   r   r   )r   r   r   )g3333333@g333333-@g333333?)r   g     B@      @)gffffffE@gfffffD@gffffff@r   )r   2   )axislimit)nparraymstatsZ
mquantilesr
   )selfdatadesiredZquants r+   NC:\wamp64\www\opt\env\Lib\site-packages\scipy/stats/tests/test_mstats_basic.pytest_mquantiles_limit_keyword   s$   
z,TestMquantiles.test_mquantiles_limit_keywordN)__name__
__module____qualname__r-   r+   r+   r+   r,   r          r   Hz>c                 C   .   t j| ||d}t|||d t|j| d S N)r#   dtypertol)r'   gmeanr   r	   r5   Z
array_liker*   r#   r5   r7   xr+   r+   r,   check_equal_gmean.   s   r;   c                 C   r3   r4   )r   hmeanr   r	   r5   r9   r+   r+   r,   check_equal_hmean5   s   r=   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                     ?+=r6   )r%   powerr;   r(   ar*   r+   r+   r,   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@r?   r   r   r   r   mask   UUUUUU?rE   r6   )mar&   r;   r%   rF   rG   r+   r+   r,   
test_1d_maA   s   
zTestGeoMean.test_1d_mac                 C   s*   t jjg dg dd}d}t|| d S )NrJ   
r   r   r   r   r   r   r   r   r   r   rU   gdq_D@r%   rY   r&   r;   rG   r+   r+   r,   test_1d_ma_valueK   s   zTestGeoMean.test_1d_ma_valuec                 C   s"   t jg d}d}t|| d S )N)
rK   rL   rM   rN   r"   rO   rP   rQ   rR   r   r   r\   rG   r+   r+   r,   test_1d_ma0Q   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)
rK   rL   rM   rN   r"   rO   rP   rQ   rR   ignore)invalid)r%   rY   r&   r   errstater;   rG   r+   r+   r,   test_1d_ma_infW   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 )Nr?   rT   rU   rW   rX   rE   )r5   r7   )rY   r&   r%   rF   astyperd   r;   r(   rH   Z
desired_dtr+   r+   r,   test_1d_float96^   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 )Nr?   r   r   r   r   r   r   r   r   r   r   r   r   rU   r   rE   r#   r7   rC   rD   rW         ?rB   r_   rK   rL   rM   rN   r"   rO   rP   rQ   rR   rS   n   x   g/,$qJ@)rY   r&   r%   r;   rF   rG   r+   r+   r,   
test_2d_mad   s   

zTestGeoMean.test_2d_maN)r.   r/   r0   rI   rZ   r]   r^   rc   pytestmarkskipifhasattrr%   rj   ru   r+   r+   r+   r,   r>   ;   s    

r>   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 )Nr?   rT   rU   /袋.?rE   r6   rJ   g=b#A@r[   gO?@rY   r&   r=   r%   rG   r+   r+   r,   rI   v   s   
zTestHarMean.test_1drd   re   rf   c                 C   s:   t jg dg dd}tjdtjd}t||tjd d S )Nr?   rT   rU   r{   r5   )rY   r&   r%   asarrayrd   r=   ri   r+   r+   r,   rj      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 )Nr?   rk   rl   rm   rU   r   rE   rn   )gQ?g433333@g?r_   rp   rq   rr   gmWUC@r|   rG   r+   r+   r,   test_2d   s   zTestHarMean.test_2dN)r.   r/   r0   rI   rv   rw   rx   ry   r%   rj   r   r+   r+   r+   r,   rz   u   s
    
rz   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   r@   rA   rB      r   rW   )
r   rA   rA   rA   r   rW            !@r   rK   rA   rB   )
r   r!   r!   r   r   rB   r         @r      T)Zuse_missing)
r   r!   r!         @r   rB   r   r   r   r   )
r   r   r   r   r@   rB   rA   r   r   rW   )
r   rA   r   rA   r   r   rW   r   rA   rK   )r   r   r   r   r@   )rA   rB   r   r   rW   )r   rA   rA   rA   r   )rW   r   r   r   rK   r   r#   )r   r@         @r   r   r   r   r   r   r   r   r@   r@   r@   r@   r@   )rY   r&   r
   r'   rankdatar   r(   r:   r+   r+   r,   test_ranking   s2   



zTestRanking.test_rankingN)r.   r/   r0   r   r+   r+   r+   r,   r      r1   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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 )NrK   errorr   r   r_         TrU   r   )r           r   )r   r   rA   rA   r@   rX   )FFFT)r   r   r   g     X@)r   r   rA   r_   )rY   arangewarningscatch_warningssimplefilterRuntimeWarningr
   r'   pearsonrr&   r   r   r%   sqrt)
r(   r:   prx1y1rprV   Zx2y2r+   r+   r,   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   r@   rA   rB   r   rW   )r   r   r   r   r   r   rU   )	   r   r   rW   r   r   )r   r   r   r   r   r   )r   rB   r   rW   )r   rW   r   r   )r%   rY   masked_arrayr&   r'   r   r   r	   )	r(   ZmxZmyr:   ymrmpr   r   r+   r+   r,   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  rK   i  i  gV-?ZcorrelationpvalueTrY   )
r
   r'   	spearmanrr%   r   rY   fix_invalidlistranger   r(   r:   r   res
attributesr+   r+   r,   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}?rS   r   r   皙?r@   r   zalternative must be 'less'...matchz	ekki-ekki)
r'   r   r   r%   linspacerandomrandrv   r   
ValueError)r(   r:   r   Zr_expr   r   nZstat1p1Zstat2p2Zstat3p3r+   r+   r,   test_spearmanr_alternative   s0   





"z#TestCorr.test_spearmanr_alternativeppc64lezfails/crashes on ppc64lerf   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   r@   r   rW   )rB   r   r      r   r   rK   gxO~>bananamethodr   r@   g?>?gaV>r   rW   g}'}'?go&5>r_   r   g?>g}'}'r   r   r   r   r   g     :@gQgףp=
@r   r   g1UU?      ?
asymptoticglgN?g~ȋgQM?r   rL   rO   rN   rQ   !   C         -   gXJĿgvPwTk?r   Tr   )rY   r&   r%   r
   r~   r'   
kendalltaur   assert_raisesr   r   r   r   )r(   r:   r   expectedbzresultr   r+   r+   r,   test_kendalltau+  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   floatrY   Zmasked_greaterconcatenater   isfiniter'   r   )r(   r:   r   r+   r+   r,   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 )NrB   r@         r   r   rA   rB   rA   r   rA   r@   r   rA   r   r   r@   rA   r   rA   rW      r   r      zglobal p-value (indep)gMb?zseasonal p-value)g
ףp=
?g(\?皙?g{Gz?)r   rY   r   Tr'   Zkendalltau_seasonalr
   round)r(   r:   outputr+   r+   r,   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"   ro   rU   )r   r   omit)r   
nan_policyr   )r%   r   seedr   rY   r&   r'   r   
compressedr   r   r   )r(   r   r   r   r:   r   rV   Zx_maskedZy_maskedZ
res_maskedZx_compressedZy_compressedZres_compressedZres_nanr+   r+   r,   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?))rS   iY	  )e   i	  )   r   )   r   )r  r   )   r   )   iE&  )   i%  r   r   itemsr   Z_kendall_p_exactr
   r(   Zexpectationsncr   r   r+   r+   r,   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  r+   r+   r,   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$ d S )%N)#r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r_   g-@g+@g(@g333333$@gffffff@gffffff@g333333@gffffff@g333333@r   gffffff
@g	@r   gffffff@r!   g333333@gffffff@g @r   g      ?g?r   g?皙?gffffff?r   ro   r   r   r   g/"?r   r   Tr   )r%   r   r
   r'   Zpointbiserialrr   r   r+   r+   r,   test_pointbiserial  sh   2zTestCorr.test_pointbiserialN)r.   r/   r0   r   r   r   r   rv   rw   rx   platformmachiner   Zslowr   r  parametrizer
  r  Zxslowr  r  r+   r+   r+   r,   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 )NrK   
r   r   r@   rA   rB   r   rW   r   r   r   )r@   r   )
NNr@   rA   rB   r   rW   r   r   NFFlimitsZ	inclusive)
NNNrA   rB   r   rW   r   NN)r   r   T)r   relative)
Nr   r@   rA   rB   r   rW   r   NN   r   r_   r   )NNr@   rA   rB   NrW   r   r   NNNrS   r   rP   rL   )r!  r#   rs   r   )
rY   r   r	   r'   Ztrimr   reshape_maskZravelr   )r(   rH   r:   r   trimxr+   r+   r,   	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 )NrS   rO   r   )tailrQ   r"   rP   0   r   r   r   "   rL      )rK   rK   )rY   r   r	   r'   trimbothcountZtrimtailr   r$  r   shape)r(   r:   r%  r+   r+   r,   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 )NrK   )g333333?gQ?r  r  r  )
r   r   r   r   r   r   r   r   r   r   rU   )rY   r   r'   Ztrimrr&   r	   rV   )r(   r:   r   r   r+   r+   r,   
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  )rY   r&   r
   r'   Ztrimmed_meanr(   r)   r+   r+   r,   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 rL   sizer   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   rU   r   )
r%   r   default_rngsortrY   r&   r   r'   Ztrimmed_varvarr(   rngZ	data_origr)   r+   r+   r,   test_trimmedvar)  
   
zTestTrimming.test_trimmedvarc                 C   r=  )Nl   /{Gzi rL   r>  r@  rU   r   )
r%   r   rA  rB  rY   r&   r   r'   Ztrimmed_stdstdrD  r+   r+   r,   test_trimmedstd3  rG  zTestTrimming.test_trimmedstdc                 C   s:   t g d}tt|ddd tt|ddd d S )Nr0  r:  g>L@r   r   )rY   r&   r
   r'   Ztrimmed_stder;  r+   r+   r,   test_trimmed_stde=  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 )	Nr0  r:  r   ddofg@r  gffff7@r   )	rY   r&   r
   r'   	winsorizerC  r   r	   rV   )r(   r)   Z
winsorizedr+   r+   r,   test_winsorizationC  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   r@   )皙?rO  raise)r  )皙?rQ  r   )r  r  r  )	rY   r&   r%   r   r   r   r'   rM  r	   r;  r+   r+   r,   test_winsorization_nanO  s    z#TestTrimming.test_winsorization_nanN)r.   r/   r0   r&  r.  r/  r<  rF  rI  rJ  rN  rR  r+   r+   r+   r,   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 )!TestMomentsr?   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}   rU   Nr-  r5   c                C   sH   t |}|d urt ||}t|| |d u r|j}|j|ks"J d S N)r%   r~   Zbroadcast_tor   r5   )r(   actualexpectr-  r5   r+   r+   r,   _assert_equalu  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   rK   r@         ?rA   rB        @r?   )r   rY  r   rZ  r   r   )r   r@   rA   r   r}   )r   r   r   r   )r   rT  )r   )momentr#   )r@   r   )r-  g      $@r   )r'   r[  testcaser
   r   r   r   rX  r%   r   Zfloat64r&   Zfloat32zerosr   r	   rY   r   )r(   r   r:   r+   r+   r,   test_moment~  s8   






zTestMoments.test_momentc                 C   s   t | j}t|dd d S )N%?rK   )r'   	variationr\  r
   )r(   r   r+   r+   r,   test_variation  s   zTestMoments.test_variationc                 C   s*   t g d}tj|dd}t|d d S )N)r   r@   rA   rB   r   r   rK  g<<'?)r%   r&   r'   r`  r
   )r(   rH   r   r+   r+   r,   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*ҿrK   r   biasg2۠ۿr   )gҽr?r   g>HÛe?r   gIǮFFFTFr}   rU   r   )g`٨?r   gn?r   g0Fr@   )r'   skewtestmathworksr
   r\  rY   r&   r%   boolr   testcase_2d	enumerater   r(   r   Z
correct_2dirowZcorrect_2d_bias_correctedr+   r+   r,   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   )Zfisherrd  gO߻S@rK   gx|N@g=
ףp=?)            g'@=r   gt
Qre  r}   rU   )ro  rp  g?<r   g`@7Frc  r@   rB   )Znulp)r'   kurtosisrg  r
   r\  rY   r&   r%   rh  r   ri  rj  r   r   rk  r+   r+   r,   test_kurtosis  sB   


zTestMoments.test_kurtosis)r.   r/   r0   r\  rY   r   r%   r   rg  r&   rh  ri  rX  r^  ra  rb  rn  rr  r+   r+   r+   r,   rS  ^  s6    

	%!rS  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   r@   rA   rA   rA   rA   rB   r   rW   r   )rA   r   r   )rA   r@   r@   r   )rA   rB   r   )r   rA   )r   r   )r@   r   )r   r   r   r   r   r   r_   rA   r   r   )moder,  Tr   )	r%   r#  r&   rY   Zmasked_wherer	   r'   rt  r   )r(   a1a2a3Za4Zma1Zma2Zma3Zma4Za1_resr   r+   r+   r,   	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)rS   rS   r"   r   )r%   r]  copyr'   rt  r	   )r(   Zimcpr+   r+   r,   test_mode_modifies_input  s   
z!TestMode.test_mode_modifies_inputN)r.   r/   r0   rx  r{  r+   r+   r+   r,   rs    s    rs  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)rA   rB   r   rK   rW   )rA   r   r   rB   r@   r   )r   rB   r   rK   r~  r  r  r   )ru  rv  rw  r(   r+   r+   r,   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   ro   r   r   rS   r   r"   g      ?)r%   r   r	   r'   scoreatpercentiler   r+   r+   r,   test_percentile&  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   )rB   rB   rA   r"   )rY   r&   r	   r'   r  r   r+   r+   r,   test_2D,  s   
zTestPercentile.test_2DN)r.   r/   r0   r  r  r  r+   r+   r+   r,   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   r@   rA   rB   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   rK  r@   )r'   semr\  r
   r,  r   r%   r   )r(   r   r   r+   r+   r,   test_sem;  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?Fr"  decimal)r'   zmapr\  r   r)   rV   )r(   r   Zdesired_unmaskedvalsr+   r+   r,   	test_zmapC  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  r"  r  )r'   zscorer\  rY   r   r%   r   r
   )r(   r   r*   r+   r+   r,   test_zscoreL  s
   zTestVariability.test_zscoreN)r.   r/   r0   __doc__rY   r   r%   r   r\  r  r  r  r+   r+   r+   r,   r  5  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   rW   r   r   r   r   rA   r@   rK   rB   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   r+   r+   r,   test_obrientransformW  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 )NrB   r@   r   r   r   r   rA   r   rW   r   r   r   r   )48E?gsA?g)g%䃞?g 	?l)r  g46<?)	r   rY   r   r   r
   r%   r   r'   ks_2samp)r(   r:   ZwinterZspringZsummerZfallr+   r+   r,   test_ks_2samp_  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$@rB   r   g(QGu?rW   r@   r   r   r   rA   r   r   r   r   r   gr @g-C6?	statisticr   Tr   )r'   Zfriedmanchisquarer
   r   rY   r   r   )r(   r  r   r:   r   r+   r+   r,   test_friedmanchisqn  s$   


zTestMisc.test_friedmanchisqN)r.   r/   r0   r  r  r  r+   r+   r+   r,   r  U  s    r  c                  C   s   t ddd} dt ddd d }|t t ddd7 }t| |}tj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   rS   r   rK   rL   )slope	interceptZrvaluer   stderrTr   intercept_stderrg5E%?g +l$@g4_Qc?g8?)r%   r   sinr'   
linregressr   Z_stats_mstats_commonZLinregressResultr   
isinstancer   dirr
   r  r  r  r  )r:   r   r   lrr   r+   r+   r,   test_regress_simple  s   r  c                  C   sX   t d} t jd}d}tt|d t| | W d    d S 1 s%w   Y  d S )NrK   zBCannot calculate a linear regression if all x values are identicalr   )r%   r]  r   r   r   r'   r  )r:   r   msgr+   r+   r,   test_linregress_identical_x  s   
"r  c                  C   sd  t g d\} }}}t| d t|d t jg ddd\} }}}t| d t|d tjjg dg dd}t |\} }}}t| d	 t|d
 t j|dd\} }}}t| d	 t|d g d}g d}t ||d\} }}}t| d t|d t|ddd t|ddd t j||ddd\} }}}t| d t|d t|ddd t|ddd d S )N)r   r   r   ro   Zjointr   r   )r   r   rS   r   )FFTFrU   rX   gUUUUUU?)r   r@   rA   rB   rK   r"  r   )r         rL   r   7   N   gQ?rB   r   gQ@r@   r  gGz@r   )r'   theilslopesr
   r%   rY   r&   )r  r  lowerupperr   r:   r+   r+   r,   test_theilslopes  s>   













r  c                  C   s   t jtdd tddgddg} tt| sJ W d    n1 s&w   Y  t $}|	td tg dg d} t
| ddtjtjf W d    d S 1 sUw   Y  d S )NzAll `x` coordinates are...r   r   r   zinvalid value encountered...r   r   r   )r   r   r   )rv   Zwarnsr   r'   r  r%   allisnanr   filterr   r   )r   supr+   r+   r,   test_theilslopes_warnings  s   "r  c                  C   sd   g d} g d}t | |\}}}}t | |}t||j t||j t||j t||j dS )zj
    Simple test to ensure tuple backwards-compatibility of the returned
    TheilslopesResult object
    r   r@   rB   rB   rW   r   N)r'   r  r	   r  r  	low_slope
high_slope)r   r:   r  r  r  r  r   r+   r+   r,   'test_theilslopes_namedtuple_consistency  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 )Nr@   rK   ro   )r   ro   Zseparater   r   r   )r  rp  r   rB   gffffffr      r?  random_stater   r6   )
r%   r   r	   r'   siegelslopesr   normrvsr  r   )r   r:   Z	slope_olsZintercept_ols_r  r  r+   r+   r,   test_siegelslopes  s$   
r  c                  C   sH   g d} g d}t | |\}}t | |}t||j t||j dS )zl
    Simple test to ensure tuple backwards-compatibility of the returned
    SiegelslopesResult object.
    r  r  N)r'   r  r	   r  r  )r   r:   r  r  r   r+   r+   r,   (test_siegelslopes_namedtuple_consistency  s   r  c                     s   t jd} | jddt\}}dd  tdD ]}tt  d d |f ||  qt  fddtj	d	 D }tt || d S )
Nl   ,'  )rS   rB   r>  c                 S   sj   t | }t|}| | d d tjf  }||d d tjf  }tjtj||ftddd}|| ||  S )Nr}   r   )k)lenr%   r   ZnewaxisZtriuZonesrh  )yir   r:   dydxrV   r+   r+   r,   dijk  s   
z&test_sen_seasonal_slopes.<locals>.dijkrB   c                    s    g | ]} d d |f qS rU  r+   ).0rl  r  r:   r+   r,   
<listcomp>#  s     z,test_sen_seasonal_slopes.<locals>.<listcomp>r   )
r%   r   rA  r'   Zsen_seasonal_slopesr   r   Zmedianr   r-  )rE  Zintra_slopeZinter_sloperl  Z
all_slopesr+   r  r,   test_sen_seasonal_slopes  s   &$r  c                  C   s.   t tddd} t| jtg d d S )NrA   r   )rD   ro   r   )r'   Zplotting_positionsr%   r   r   r)   r&   )posr+   r+   r,   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 ]\}}t	t
|| t	t
|| qAd S )Nr  r_   r   r   r@   rA   r  r_   r   r   r@   rA   r  r_   r   r   r@   rA   r  r_   r   r   r@   rA   r@   r?   )r%   r&   r   r'   
normaltestr   skewtestkurtosistestzipr   r   )r(   r:   funcsZmfuncsfuncZmfuncr+   r+   r,   test_vs_nonmasked/  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  r@   r   )r%   r&   r   r'   r  r  r  r   r+   r+   r,   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  r@   rK   TFrU   )r%   r&   rY   Zr_infr?  r   r'   r  r   r  r  )r(   r:   xmr+   r+   r,   test_maskedarray_inputG  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  r@   r   r   )	r%   r&   Zvstackr   r'   r  r  r  r   )r(   r:   Zx_2dr  Zres_1dZres_2dr+   r+   r,   test_nd_inputP  s   z TestNormalitytests.test_nd_inputc                 C   .   t dd }t|}d}t||dd d S Nr  r@   r  Tr   )r%   r&   r'   r  r   r(   r:   r   r   r+   r+   r,   !test_normaltest_result_attributesY     
z4TestNormalitytests.test_normaltest_result_attributesc                 C   r  r  )r%   r&   r'   r  r   r  r+   r+   r,   #test_kurtosistest_result_attributes_  r  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 r+   )r%   full)r  rl  cr+   r+   r,   r  i  s    z;TestNormalitytests.test_regression_9033.<locals>.<listcomp>r   g{Gz?T)r%   Zhstackrj  r	   r'   r  )r(   countsr:   r+   r+   r,   test_regression_9033e  s   z'TestNormalitytests.test_regression_9033testr  r  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 )NrK   r!   rM   {   locscaler?  r  r   g-q=Zatolr   r   rU   )r   r  r  getattrr'   r   r%   r   rY   r   r  r	  )
r(   r  r   r:   Z
stats_testZmstats_testZz_exp_exr   r   r+   r+   r,   test_alternativel  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 )NrL   r  r  4alternative must be 'less', 'greater' or 'two-sided'r   r   r   )	r   r  r  rv   r   r   r'   r  r  )r(   r:   r  r+   r+   r,   test_bad_alternative  s   "z'TestNormalitytests.test_bad_alternativeN)r.   r/   r0   r  r  r  r  r  r  r  rv   rw   r  r  r  r+   r+   r+   r,   r  -  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&   Zuint16r'   Zf_onewayr   )r(   rH   r   r   r   r+   r+   r,   test_result_attributes  s
   z"TestFOneway.test_result_attributesNr.   r/   r0   r  r+   r+   r+   r,   r     r1   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'   mannwhitneyur:   r   r   )r(   r   r   r+   r+   r,   r    s   z'TestMannwhitneyu.test_result_attributesc                 C   sB   t | j| j}t| j| j}|j|jksJ t|j|j d S rU  )r'   r  r:   r   r   r  r   r   )r(   res1res2r+   r+   r,   test_against_stats  s   z#TestMannwhitneyu.test_against_statsN)	r.   r/   r0   r%   r&   r:   r   r  r  r+   r+   r+   r,   r    s
    r  c                   @   r   )TestKruskalc                 C   s2   g d}g d}t ||}d}t||dd d S )N)r   rA   r   r   r   )r@   rB   rW   r   rK   r  Tr   )r'   Zkruskalr   r   r+   r+   r,   r    s
   z"TestKruskal.test_result_attributesNr  r+   r+   r+   r,   r    r1   r  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 rL   rB   r   r   r   r@   r   r   r   r@   )r%   r   r  randnr   	ttest_relr'   r   )r(   outcomer  r  res3r+   r+   r,   r    s   $$
((
00
,zTestTtest_rel.test_vs_nonmaskedc                 C      t jd tjt jddg dg dgd}t E}|td |d d df |d d d	f ft j	t j	gd
dgffD ]}t
j| \}}t|t j	t j	f t|t j	t j	f q<W d    d S 1 scw   Y  d S Nr
  rA   r@   r  r  rU   %invalid value encountered in absoluter   r   r   r   )r%   r   r  rY   r   r  r   r  r   r   r'   r  r   r(   r  r  pairtr   r+   r+   r,   test_fully_masked  s   8"zTestTtest_rel.test_fully_maskedc                 C   \   t jd t jddg d }t|d d df |d d df }d}t||dd	 d S 
Nr
  rL   rB   r  r   r   r  Tr   )r%   r   r  r  r'   r  r   r(   r  r   r   r+   r+   r,   r    
   $z$TestTtest_rel.test_result_attributesc              	   C   sz   t ttjtdtd td}t ttj|ddd|ddddd t ttj|ddd|ddddd d S )	NrK   r   rC   r@   rA   rB   r   r   )r   r   r'   r  r%   r   r#  r   r+   r+   r,   test_invalid_input_size  s   

z%TestTtest_rel.test_invalid_input_sizec                 C   $   t g g }ttt| d S rU  )r'   r  r   r%   r  r  r(   r  r+   r+   r,   
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   r  )r'   	ttest_indr	   r%   absr  r   r  r   r   r&   r   r(   r  r   r  r+   r+   r,   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 Nr  r   r   r@   rA   )rB   r   rW   foor   rv   r   r   r'   r   r(   r  r+   r+   r,   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 )NrK   r   r   *   r  r   r@   r   rE   r6   r   rU   )r   r  r  r  r'   r   r%   r   rY   r   r  r	  r(   r   r:   r   t_exr  r  r   r+   r+   r,   r    s    
zTestTtest_rel.test_alternativeN)r.   r/   r0   r  r  r  r  r  r#  r  rv   rw   r  r  r+   r+   r+   r,   r	    s    	
r	  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 )Nr
  rL   rB   r  r   r   r   r@   TZ	equal_varF)r%   r   r  r  r   r   r'   r   )r(   r  r  r  r  Zres4Zres5r+   r+   r,   r  -  s&   $$
((
00
,
((
((zTestTtest_ind.test_vs_nonmaskedc                 C   r  r  )r%   r   r  rY   r   r  r   r  r   r   r'   r   r   r  r+   r+   r,   r  J  s   $8"zTestTtest_ind.test_fully_maskedc                 C   r  r  )r%   r   r  r  r'   r   r   r  r+   r+   r,   r  T  r  z$TestTtest_ind.test_result_attributesc                 C   r  rU  )r'   r   r   r%   r  r  r  r+   r+   r,   r  \  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   r  Fr0  )r'   r   r	   r%   r!  r  r   r  r   r   r   r"  r+   r+   r,   r#  `  s   
z TestTtest_ind.test_zero_divisionc                 C   r$  r%  r(  r)  r+   r+   r,   r  o  r*  z"TestTtest_ind.test_bad_alternativer   r   r   c                 C   s  t jjddddd}t jjddddd}t j|||d\}}tj|||d\}}t||dd	 t||dd	 tj|d
d< tj|dd< tjj	|t
|d}tjj	|t
|d}t j| | |d\}}tj|||d\}}t||dd	 t||dd	 d S )NrK   r@   rS   r  r  r   r   rE   r6   r   rQ   rR   rU   )r   r  r  r   r'   r   r%   r   rY   r   r  r	  r,  r+   r+   r,   r  t  s    
zTestTtest_ind.test_alternativeNr.   r/   r0   r  r  r  r  r#  r  rv   rw   r  r  r+   r+   r+   r,   r/  ,  s    
r/  c                   @   r.  )TestTtest_1sampc                 C   s`   t jd t jddg d }t|d d df d}t|d d df d}t|| d S )Nr
  rL   rB   r  r   r   )r%   r   r  r  r   ttest_1sampr'   r   )r(   r  r  r  r+   r+   r,   r    s
   z!TestTtest_1samp.test_vs_nonmaskedc                 C   s   t jd tjt jdg dd}t jt jf}t /}|t	d t jt jfdf|dffD ]}t
j| \}}t|| t|| q/W d    d S 1 sNw   Y  d S )Nr
  rA   r  rU   r  r   )r%   r   r  rY   r   r  r   r   r  r   r'   r3  r   )r(   r  r   r  r  r  r   r+   r+   r,   r    s   
"z!TestTtest_1samp.test_fully_maskedc                 C   sP   t jd t jddg d }t|d d df d}d}t||dd	 d S r  )r%   r   r  r  r'   r3  r   r  r+   r+   r,   r    s
   z&TestTtest_1samp.test_result_attributesc                 C   s$   t g d}ttt| d S )Nr   )r'   r3  r   r%   r  r  r  r+   r+   r,   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   r  )r'   r3  r	   r%   r!  r  r   r  r   r   r  r   r   r"  r+   r+   r,   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&  rB   r'  r   )rv   r   r   r'   r3  r)  r+   r+   r,   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 )NrK   r@   rS   r  r  r   r   rE   r6   r   rU   )r   r  r  r3  r'   r   r%   r   rY   r   r  r	  )r(   r   r:   r-  r  r  r   r+   r+   r,   r    s   
z TestTtest_1samp.test_alternativeNr1  r+   r+   r+   r,   r2    s    	
r2  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   r@   rA   rB   r   )r   r   r   r   rA   rA   )r   r   r   r   r   r   )r   r   r   r   r   r   rU   r   r   r   rB   r   rA   r   r   r   r   g       )r%   rY   r   r'   describer	   nobsminmaxmeanvarianceskewnessr   rq  )r(   rH   r   ZaminZamaxr+   r+   r,   test_basic_with_axis  s    
z!TestDescribe.test_basic_with_axisN)r.   r/   r0   r  r<  r+   r+   r+   r,   r4    s    r4  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   rS   rK   r   r+   r  r+   r+   r,   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 )Nr
  r   g 7yACr   g s?CrU   )r%   r   r  r  r  r  rY   r&   )r(   r   r:   r   r  ymrV   r+   r+   r,   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   rU   )r%   r  r   r   r@  rY   r&   r  )
r(   r   nxr:   r   r  r?  rl  r  r  r+   r+   r,   generate_xy_sample2D  s   ,z)TestCompareWithStats.generate_xy_sample2Dc                 C   sT   |   D ]#}| |\}}}}t||}tj||}tt|t| qd S rU  )r>  r@  r   r  r'   r   r%   r~   )r(   r   r:   r   r  r?  Zresult1Zresult2r+   r+   r,   test_linregress  s   z$TestCompareWithStats.test_linregressc           
      C   sb   |   D ]*}| |\}}}}t||\}}tj||\}}	t||dd t||	dd qd S )Nr*  r  )r>  r@  r   r   r'   r
   
r(   r   r:   r   r  r?  r   r   rmpmr+   r+   r,   r   %  s   z"TestCompareWithStats.test_pearsonrc           
      C   s^   |   D ](}| |\}}}}t||\}}tj||\}}	t||d t||	d qd S Nr*  )r>  r@  r   r   r'   r
   rD  r+   r+   r,   r   .  s   z#TestCompareWithStats.test_spearmanrc                 C   s    t d}tttj||d d S )NrW   F)r%   r   r   r   r'   r   r   r+   r+   r,   !test_spearmanr_backcompat_useties6  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%<=r6   )r>  r@  r   r8   r!  r'   r   r(   r   r:   r   r  r?  r   rE  r+   r+   r,   
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 NrK   )r>  r@  r   r<   r!  r'   r
   rI  r+   r+   r,   
test_hmeanG  s   zTestCompareWithStats.test_hmeanc                 C   h   |   D ]-}| |\}}}}t|}tj|}t||d t|}tj|}t||d qd S rK  )r>  r@  r   rf  r'   r
   rI  r+   r+   r,   	test_skewS     

zTestCompareWithStats.test_skewc                 C   rM  rK  )r>  r@  r   r[  r'   r
   rI  r+   r+   r,   r^  _  rO  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|=r6   r   )	r>  r@  r9  rH  r   r   r  r'   r  )r(   r   r:   r   r  r?  ZzxZzyr+   r+   r,   r  k  s     z TestCompareWithStats.test_zscorec                 C   rM  rK  )r>  r@  r   rq  r'   r
   rI  r+   r+   r,   rr  }  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 )NrL   r   rB   r   rK  g'e@gh㈵>r  r   )r#   rL     r  )r%   r   r#  rY   r&   r   r  r'   r   r>  r@  r
   )
r(   rH   amr   rE  r   r:   r   r  r?  r+   r+   r,   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   rK  rW   r"  r  )	r>  r@  r   r6  r'   r   r
   r%   r~   )	r(   r   r:   r   r  r?  r   rE  iir+   r+   r,   test_describe  s   z"TestCompareWithStats.test_describec                 C   s&   t td}d}t||dd d S )Nr   )r7  r8  r9  r:  r;  rq  Tr   )r'   r6  r%   r   r   )r(   rV  r   r+   r+   r,   test_describe_result_attributes  s   z4TestCompareWithStats.test_describe_result_attributesc                 C   sD   |   D ]}| |\}}}}t|}tj|}t|| qd S rU  )r>  r@  r   r   r'   r   rI  r+   r+   r,   test_rankdata  s   
z"TestCompareWithStats.test_rankdatac                 C   sX   |   D ]%}| |\}}}}tt|tj|d tt|tj|d qd S rG  )r>  r@  r
   r   Ztmeanr'   r(   r   r:   r   r  r?  r+   r+   r,   
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   rK   r   )Z
upperlimit)r>  r@  r
   r   Ztmaxr'   rW  r+   r+   r,   	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   )Z
lowerlimitrK   )r>  r@  r	   r   Ztminr'   r
   rW  r+   r+   r,   	test_tmin  s   zTestCompareWithStats.test_tminc                 C   sX   |   D ]%}| |\}}}}t||}tj||}t||dt| dd qd S )Nr   rP  r  )r>  r@  r   r  r'   r   r  )r(   r   r:   r   r  r?  r   Zzmr+   r+   r,   r    s   zTestCompareWithStats.test_zmapc                 C   \   |   D ]'}| |\}}}}tt|tj|dd tt|tj|dd qd S Nr"  r  )r>  r@  r
   r   r`  r'   rW  r+   r+   r,   ra       z#TestCompareWithStats.test_variationc                 C   r[  r\  )r>  r@  r
   r   tvarr'   rW  r+   r+   r,   	test_tvar  r]  zTestCompareWithStats.test_tvarc                 C   sB   t d}t|d}tj|d}tt ||j|j   d S )NrL   r   )	r%   r   r   r+  r'   r   rB  r)   rV   )r(   rH   r   Zbmr+   r+   r,   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 )Nr*  r  )r5  r   )r   )r>  r@  r
   r   Ztsemr'   rW  r+   r+   r,   	test_tsem  s   zTestCompareWithStats.test_tsemc                 C   sL   |   D ]}|dkr#| |\}}}}t|}tj|}t|| qd S )Nr   )r>  r@  r   r  r'   r   rI  r+   r+   r,   test_skewtest  s   

z"TestCompareWithStats.test_skewtestc                 C   r  r  )r%   r&   r'   r  r   r  r+   r+   r,   test_skewtest_result_attributes  r  z4TestCompareWithStats.test_skewtest_result_attributesc                 C   s@   t jdd }t|}tj|}tt |t | d S )N)rL   r@   g      4@)r%   r   r   r  r'   r   r~   )r(   r:   r   rE  r+   r+   r,   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 )Nr@   r   r   rE   r6   r   )r>  rB  r   r  r'   r   )	r(   rA  r   r:   r   r  r?  r   rE  r+   r+   r,   test_skewtest_2D_WithMask  s   
z.TestCompareWithStats.test_skewtest_2D_WithMaskc           	   	   C   s   t jddT t 8}|td |  D ]%}|dkr:| |\}}}}t|}tj	|}t
t |t | qW d    n1 sEw   Y  W d    d S W d    d S 1 s]w   Y  d S )NrP  )Zoverz!kurtosistest only valid for n>=20r   )r%   rb   r   r  UserWarningr>  r@  r   r  r'   r   r~   )	r(   r  r   r:   r   r  r?  r   rE  r+   r+   r,   test_normaltest  s   
Pz$TestCompareWithStats.test_normaltestc                 C   s   t g dd}t g dd}|dk}t jj||d}| | }}t|}tj|}t	|| t	|| t	|| tjg \}	}
t	|
t jdt j
d d S )N)r   r   r@   r@   rA   rA   rA   rB   rB   rB   rB   r   )r   r   r@   r@   rA   rA   rA   rB   rB   rB   rB   r   r   r   r   r  rU   r   r}   )r%   r~   rh   rY   r&   ry  r   Zfind_repeatsr'   r	   Zintp)r(   r:   tmprV   r  Zx_origZxm_origr   rE  r  r  r+   r+   r,   test_find_repeats%  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   rK   r  r   r   )r>  r@  r   r   r'   r
   rI  r+   r+   r,   r   8  s   z$TestCompareWithStats.test_kendalltauc                 C   sR   |   D ]"}| |\}}}}t|}tj|}t|j|dt|  qd S )Nr   )r>  r@  r   r  r'   r
   r   r  rI  r+   r+   r,   r  @  s   
z)TestCompareWithStats.test_obrientransformc              
   C   s   dD ]b}t  U dD ]J}|  D ]C}| |\}}}}tj|tjj||d}tjj|tjj||d}	tt	
|t	
|	 tj|tjj||d}
tt	
|t	
|
 qq
W d   n1 s_w   Y  qdS )zFChecks that mstats.ks_1samp and stats.ks_1samp agree on masked arrays.autor  asympr   r   r  r   rt  N)r   r>  r@  r   Zks_1sampr  Zcdfr'   r	   r%   r~   r(   rt  r   r   r:   r   r  r?  r  r  r  r+   r+   r,   test_ks_1sampG  s   z"TestCompareWithStats.test_ks_1sampc              
   C   s   dD ]\}t  O dD ]D}|  D ]=}| |\}}}}tj|d||d}tjj|d||d}	tt|t|	 tj|d||d}
tt|t|
 qq
W d   n1 sYw   Y  qdS )zKChecks that 1-sample mstats.kstest and stats.kstest agree on masked arrays.rj  rm  r  rn  N)	r   r>  r@  r   kstestr'   r	   r%   r~   ro  r+   r+   r,   test_kstest_1sampT  s   z&TestCompareWithStats.test_kstest_1sampc              
   C      dD ]h}t  [}|dv rd}|t| dD ]D}|  D ]=}| |\}}}}	tj||||d}
tjj||	||d}tt	
|
t	
| tj||||d}tt	
|
t	
| qqW d   n1 sew   Y  qdS )zVChecks that mstats.ks_2samp and stats.ks_2samp agree on masked arrays.
        gh-8431rj  rk  r  )ks_2samp: Exact calculation unsuccessful.rm  rn  N)r   r  r   r>  r@  r   r  r'   r	   r%   r~   r(   rt  r  messager   r   r:   r   r  r?  r  r  r  r+   r+   r,   r  a  s$   z"TestCompareWithStats.test_ks_2sampc              
   C   rs  )zKChecks that 2-sample mstats.kstest and stats.kstest agree on masked arrays.rj  rt  ru  rm  rn  N)r   r  r   r>  r@  r   rq  r'   r	   r%   r~   rv  r+   r+   r,   test_kstest_2sampr  s$   z&TestCompareWithStats.test_kstest_2sampN))r.   r/   r0   r  r>  r@  rB  rC  r   r   rH  rJ  rL  rN  r^  r  rr  r  rT  rU  rV  rX  rY  rZ  r  ra  r_  r`  ra  rb  rc  rd  re  rg  ri  r   r  rp  rr  r  rx  r+   r+   r+   r,   r=    sN    	
	
r=  c                   @   s   e Zd ZejdddddejdddddddddejgZejddddejdddddddgZdZ	dd Z
d	d
 Zdd Zdd Zdd Zdd Zdd ZdS )TestBrunnerMunzelr   r@   rB   rA   r   r*  c           	      C   s   t j| j| jdd\}}t j| j| jdd\}}t j| j| jdd\}}t j| j| jdd\}}t||| jd t||| jd t||k t|d| jd t|d| jd t|d| jd t|d| jd t|d| jd t|d| jd d S )	Nr   r   r   r  |	&	@|	&	gҏGg?g@-pL?)r'   brunnermunzelXYr
   significantr   )	r(   u1r   u2r   u3r   Zu4Zp4r+   r+   r,   test_brunnermunzel_one_sided  s2   
z.TestBrunnerMunzel.test_brunnermunzel_one_sidedc                 C   t   t j| j| jdd\}}t j| j| jdd\}}t||| jd t|d| jd t|d| jd t|d| jd d S )Nr  r   r  rz  r{   ҏGw?r'   r|  r}  r~  r
   r  r(   r  r   r  r   r+   r+   r,   test_brunnermunzel_two_sided  s   
z.TestBrunnerMunzel.test_brunnermunzel_two_sidedc                 C   sl   t | j| j\}}t | j| j\}}t||| jd t|d| jd t|d| jd t|d| jd d S )Nr  rz  r{  r  r  r  r+   r+   r,   test_brunnermunzel_default  s   
z,TestBrunnerMunzel.test_brunnermunzel_defaultc                 C   0   d}d}t |dv tttj| j| j|| d S )Nr   r  r  r   r   r   r'   r|  r}  r~  r(   r   distributionr+   r+   r,   $test_brunnermunzel_alternative_error     z6TestBrunnerMunzel.test_brunnermunzel_alternative_errorc                 C   r  )Nnormal)r  r  rz  r{  g "H[?r  r  r+   r+   r,   $test_brunnermunzel_distribution_norm  s   
z6TestBrunnerMunzel.test_brunnermunzel_distribution_normc                 C   r  )Nr  r   )r  r  r  r  r+   r+   r,   %test_brunnermunzel_distribution_error  r  z7TestBrunnerMunzel.test_brunnermunzel_distribution_errorc                 C   s   t | jg \}}t g | j\}}t g g \}}tt| tt| tt| tt| tt| tt| d S rU  )r'   r|  r}  r~  r   r%   r  )r(   r  r   r  r   r  r   r+   r+   r,   test_brunnermunzel_empty_imput  s   z0TestBrunnerMunzel.test_brunnermunzel_empty_imputN)r.   r/   r0   r%   rY   Zmasked_invalidr   r}  r~  r  r  r  r  r  r  r  r  r+   r+   r+   r,   ry    s    &ry  )NNr2   )?r  r   r  numpyr%   r   Znumpy.marY   r   r   Zscipy.stats.mstatsr   r'   ZscipyZcommon_testsr   rv   r   r   Znumpy.ma.testutilsr	   r
   r   r   r   r   r   Znumpy.testingr   Zscipy.statsr   r   r;   r=   r>   rz   r   r   r  rS  rs  r}  r  r  r  r  r  r  r  r  r  r  r  r  r   r  r  r	  r/  r2  r4  r=  ry  r+   r+   r+   r,   <module>   sj    $

:#  :x ) 0'_	1[^C   !