a
    Qe                    @   s  d dl Z d dl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mZ d dlZd dlmZ d dlZd dlmZ d dlmZ d dl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" e#e"Z"z&d dl$Z$de$j%d< d dl&m'Z( dZ)W n e*y   dZ)Y n0 g dZ+g dZ,g dZ-g dZ.g dZ/g dZ0g dZ1g dZ2g dZ3g dZ4dd Z5G dd dZ6G d d! d!Z7G d"d# d#Z8G d$d% d%Z9G 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 d0d1 d1Z?G d2d3 d3Z@d4d5 ZAG d6d7 d7ZBG d8d9 d9ZCG d:d; d;ZDG d<d= d=ZEG d>d? d?ZFG d@dA dAZGG dBdC dCZHG dDdE dEZIg dFZJG dGdH dHZKG dIdJ dJZLG dKdL dLZMG dMdN dNZNG dOdP dPZOG dQdR dRZPG dSdT dTZQG dUdV dVZRG dWdX dXZSG dYdZ dZZTdS )[    N)RandomState)assert_array_equalassert_almost_equalassert_array_lessassert_array_almost_equalassert_assert_allcloseassert_equalsuppress_warnings)raises)optimize)stats)
_abw_state_get_As_weibull_Avals_weibull   )check_named_results   )_get_wilcoxon_distr_get_wilcoxon_distr2)_binary_search_for_binom_tst)distcontZAggbackendTF)
jt?Zd;?V-?      ?gX9v?-?x&1?+?+?r   )
r   r   r   r   灕Cl?r   r   r   r   V-?)
ʡE?g/$?r!   r   ףp=
?r    r   r   r   r   )
gGz?r   r    r   r$   r    r   r   r   r   )
r   r   gCl?Gz?r   rh|?r   r   g\(\?r   )
羟/$?gh|?5?r'   r!   r"   r   r$   r   g1Zd?r   )
r%   Mb?r   gjt?r   r   g}?5^I?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    r!   r!   r#   r   r(   r!   c                  O   s   t tjj| i |S N)nplogr   gammarvs)argskwargs r0   T/var/www/sunrise/env/lib/python3.9/site-packages/scipy/stats/tests/test_morestats.py_old_loggamma_rvs6   s    r2   c                   @   s$   e Zd Zdd Zdd Zdd ZdS )TestBayes_mvsc                 C   st   g d}t |\}}}t|jd t|jddd t|jd t|jddd t|jd	d
d t|jddd d S )N   	            r9            "@g4`H#j@gO[%@+=rtol      $@gai	@gӇu8@&.>_紫@   decimalgYs?g1O@)r   	bayes_mvsr   	statisticr   minmaxselfdatameanvarstdr0   r0   r1   
test_basic;   s    zTestBayes_mvs.test_basicc                 C   s   t ttjg  d S r)   )assert_raises
ValueErrorr   rH   rL   r0   r0   r1   test_empty_inputM   s    zTestBayes_mvs.test_empty_inputc                 C   s0   t d}d}t|}|D ]}t|| qd S )N   )rI   rJ   )r*   aranger   rH   r   )rL   x
attributesresir0   r0   r1   test_result_attributesP   s
    

z$TestBayes_mvs.test_result_attributesN)__name__
__module____qualname__rQ   rU   r\   r0   r0   r0   r1   r3   :   s   r3   c                   @   s,   e Zd Zdd Zdd Zdd Zdd Zd	S )
TestMvsdistc                 C   s   g d}t |\}}}t| d t|dddd t| d t|ddd	d t| d
dd t|dddd d S )Nr4   r;   ?r<   r=   r>   r@   rA   rB   rC   rD   rE   rG   )r   mvsdistr   rN   r   intervalrK   r0   r0   r1   rQ   Z   s    zTestMvsdist.test_basicc                 C   s   t ttjg  d S r)   rR   rS   r   rb   rT   r0   r0   r1   rU   i   s    zTestMvsdist.test_empty_inputc                 C   s   dg}t ttj| d S Nr   rd   rL   rM   r0   r0   r1   test_bad_argl   s    zTestMvsdist.test_bad_argc                 C   sh   t  L t dt dd tg dD  dd tg dD  W d    n1 sZ0    Y  d S )Nerrorc                 S   s   g | ]}|  qS r0   rN   .0rX   r0   r0   r1   
<listcomp>v       z*TestMvsdist.test_warns.<locals>.<listcomp>r   r      c                 S   s   g | ]}|  qS r0   ri   rj   r0   r0   r1   rl   w   rm   r   r   ro         )warningscatch_warningssimplefilterRuntimeWarningr   rb   rT   r0   r0   r1   
test_warnsq   s    
zTestMvsdist.test_warnsN)r]   r^   r_   rQ   rU   rg   rw   r0   r0   r0   r1   r`   Y   s   r`   c                   @   sL   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S )TestShapiroc           
      C   s  g d}t |\}}t |}t|ddd t|jddd t|ddd t|jddd g d}t |\}}t |}t|ddd t|jddd t|dd	d t|jdd	d t jjd
d	ddd}t |\}}t |}t|ddd t|jddd t|dd	d t|jdd	d g d}d}d}	t |\}}t |}t||dd t|j|dd t||	d
d t|j|	d
d d S )N))\(?{Gz@q=
ףp@HzG$@@Q	@q=
ףp?Q@zG?      @Q?RQ?Q	@(\?zG?zG@(\#@333333@Gz?p=
ף@   ?r5   rE      Ɍ?)(\?=
ףp=?\(\@ffffff@\(\?(\?Gz@(\ףp=
@皙?)\(?RQr   p=
ף?@
ףp=
?{Gz?\(\@{Gz@Q@IddY?Dio?ro   rr   d   iNa locscalesizerandom_stateg   E?g   Oٴ?)gn?gjt?gffffff?gMb?gjt?g;On?gjt?gX9v?gS?g(\?gI+?gʡE?gx?g|?5^?r   gCl?g1Zd@gS@g(\	@gGz@g rh@g"~j@gQ@gtV@gʡE @ghyܝ?g0M?rq   )r   shapiror   rI   pvaluenormr-   )
rL   x1wpwshapiro_testx2Zx3Zx4Z
W_expectedZ
p_expectedr0   r0   r1   rQ   {   s<    



zTestShapiro.test_basicc                 C   s   g dg dg}t |\}}t |}t|ddd t|jddd t|ddd t|jddd g dg dg}t |\}}t |}t|d	dd t|jd	dd t|d
dd t|jd
dd d S )N)
ry   rz   r{   r|   r}   r~   r   r   r   r   )
r   r   r   r   r   r   r   r   r   r   r   r5   rE   r   )
r   r   r   r   r   r   r   r   r   r   )
r   r   r   r   r   r   r   r   r   r   r   r   ro   )r   r   r   rI   r   )rL   r   r   r   r   r   r0   r0   r1   test_2d   s$    

zTestShapiro.test_2dc                 C   s&   t ttjg  t ttjg g g g d S r)   rR   rS   r   r   rT   r0   r0   r1   rU      s    zTestShapiro.test_empty_inputc                 C   s4   t ttjddg t ttjtjg dggtd d S )Nr   r   dtype)rR   rS   r   r   r*   arrayobjectrT   r0   r0   r1   test_not_enough_values   s    z"TestShapiro.test_not_enough_valuesc                 C   s   dg}t ttj| d S re   r   rL   rX   r0   r0   r1   rg      s    zTestShapiro.test_bad_argc                 C   s`   t d}t j|d< t|\}}t|}t|t j t|jt j t|d t|jd d S )Nr@   r6   r   )	r*   rW   nanr   r   r	   rI   r   r   )rL   rX   r   r   r   r0   r0   r1   test_nan_input   s    



zTestShapiro.test_nan_inputc                 C   s2   t g d\}}t |}d}t||dd d S )N)i i = i@ )gPq~?gF?h㈵>r>   )r   boxcoxr   r   )rL   Z	trans_valmaxlogrZ   refr0   r0   r1   test_gh14462   s    
zTestShapiro.test_gh14462c                 C   sN   t g d}|jdksJ g d}t |}t|jd t|jddd d S )N)g9B.?        r   r   )g1gIۿg0!?gr??gel?ư>r>   )r   r   r   r   rI   )rL   rZ   rX   r0   r0   r1   test_length_3_gh18322   s    
z!TestShapiro.test_length_3_gh18322N)r]   r^   r_   rQ   r   rU   r   rg   r   r   r   r0   r0   r0   r1   rx   z   s   +rx   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	dd Z
dd Zdd Zejdg ddd Zdd ZdS )TestAndersonc                 C   s   t d}|jdd}|jdd}t|\}}}t|d d | t|\}}}t||dd   td}d|d< t|\}}}t|d d S )	NI2   r   
   r   g	@)	r   standard_exponentialstandard_normalr   andersonr   r*   onesr   )rL   rsr   r   Acritsigvr0   r0   r1   test_normal   s    

zTestAnderson.test_normalc                 C   s   t d}|jdd}|jdd}t|d\}}}t||dd   tjdd" t|d\}}}W d    n1 sx0    Y  t||d k d S )	Nr   r   r   exponr   ignore)allr   )	r   r   r   r   r   r   r*   errstater   )rL   r   r   r   r   r   r   r0   r0   r1   
test_expon  s    0zTestAnderson.test_exponc              	   C   s   t d}d|d< t|d\}}}t|}tj|\}}tj|||}tj|||}	t 	d|d }
| t 
d|
 d ||	d d d    }t|| d S )Nr   r   r   gumbelr   r   r   )r*   r   r   r   lengumbel_lfitlogcdflogsfrW   rN   r   )rL   r   Za2r   r   nxbarsr   r   r[   Zexpected_a2r0   r0   r1   test_gumbel  s    
*zTestAnderson.test_gumbelc                 C   s   t ttjdgdd d S Nr   plate_of_shrimpdist)rR   rS   r   r   rT   r0   r0   r1   rg   '  s    zTestAnderson.test_bad_argc                 C   s0   t d}|jdd}t|}d}t|| d S )Nr   r   r   rI   critical_valuessignificance_level)r   r   r   r   r   )rL   r   rX   rZ   rY   r0   r0   r1   r\   *  s
    
z#TestAnderson.test_result_attributesc           	      C   sF   t d}|jdd}t|d\}}}t|d\}}}t|| d S )Nr   r   r   r   r   )r   r   r   r   r   )	rL   r   rX   A1crit1sig1A2crit2sig2r0   r0   r1   test_gumbel_l1  s
    zTestAnderson.test_gumbel_lc           
      C   sp   t d}|jdd}td}d|d< t|d\}}}t|d\}}}	t||dd   t||d k d S )	Nr   r   r   r   r   gumbel_rr   r   )r   r   r*   r   r   r   r   r   )
rL   r   r   r   r   r   r   r   r   r   r0   r0   r1   test_gumbel_r;  s    
zTestAnderson.test_gumbel_rc           
      C   s   t g d}t|d}|jj\}}}t|||fddd t|jddd |j|jd k s`J d	| }t|d
dd t	d }t	d }||d d ||   }	t 
|j|	ksJ t|j|	dd d S )N)
            r         r   u   r   weibull_min)g
ףp=
@gzGX@gQS@Mb`?r>   gp=
ף?MbP?r   r   g?r   皙?g?atol)r*   r   r   r   
fit_resultparamsr   rI   r   r   r   )
rL   rX   rZ   mr   r   cZAs40ZAs45ZAs_refr0   r0   r1   test_weibull_min_case_AJ  s    z$TestAnderson.test_weibull_min_case_Ac                 C   sP   t g d}d}tjt|d t|d W d    n1 sB0    Y  d S )N)J   9   0        r7   F      r
    ;            iF  z/Maximum likelihood estimation has converged to matchr   )r*   r   pytestr   rS   r   r   )rL   rX   messager0   r0   r1   test_weibull_min_case_B]  s    z$TestAnderson.test_weibull_min_case_Bc              	   C   s   t g d }d}d}tjt|d}tjt|d}|@ | t|d W d    n1 s`0    Y  W d    n1 s~0    Y  d S )N)	r   K   r     k   r7   =   +   r
  z:Critical values of the test statistic are given for the...z;An error occurred while fitting the Weibull distribution...r  r   )	r*   r   r  ZwarnsUserWarningr   rS   r   r   )rL   rX   ZwmessageZemessageZwcontextZecontextr0   r0   r1   test_weibull_warning_errore  s    z'TestAnderson.test_weibull_warning_errordistname)r   r   r   extreme1r   r   Zlogisticr   c                 C   s\   t jd}|dv rdn|}tt|}t| }|j|d|d}t||}|jj	sXJ d S )Nl   'Dah$>   r   r   r     r   r   )
r*   randomdefault_rnggetattrr   r   r-   r   r  success)rL   r  rngZreal_distnamer   r  rX   rZ   r0   r0   r1   test_anderson_fit_paramsp  s    
z%TestAnderson.test_anderson_fit_paramsc                 C   s:   d}t td| td  tj}t td| td  d S )Nr   r   r   )r	   r   r   r*   infrL   r  r0   r0   r1   test_anderson_weibull_As~  s    z%TestAnderson.test_anderson_weibull_AsN)r]   r^   r_   r   r   r   rg   r\   r   r   r  r  r  r  markparametrizer(  r+  r0   r0   r0   r1   r      s   


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 )TestAndersonKSampc                 C   s   g d}t g d}t g d}t g d}tj||||fdd\}}}t|dd tg d	|d
d d t|ddd d S )NgYC@g     D@gfffffE@g     @F@g     F@g      G@gG@g      M@gC@gfffffC@gC@g33333D@gfffffD@g33333sE@gfffffE@gfffffF@      A@g     A@g     C@g      D@     E@r3        F@g     F@r2  ffffffA@r6  g33333A@gB@gfffffB@gD@gffffffE@FZmidrankg@ro   gCl?gvq-?g,Ԛ?gl@gPk	@r   rr   rq   gJ4a?Mb0?r   r*   r   r   anderson_ksampr   r   r   rL   t1t2t3t4Tktmpr0   r0   r1   test_example1a  s    z TestAndersonKSamp.test_example1ac                 C   s   t g d}t g d}t g d}t g d}tj||||fdd\}}}t|dd tg d	|d
d d t|ddd d S )Nr/  r0  r1  r5  Tr7  gQ@ro   r8  r   rr   rq   r   r9  r   r:  r<  r0   r0   r1   test_example1b  s    z TestAndersonKSamp.test_example1bc                 C   s   g d}g d}g d}g d}g d}g d}g d}g d}g d	}	g d
}
g d}g d}g d}g d}t j|||||||||	|
||||fdd\}}}t|dd tg d|dd d t|ddd d S )N   rV   )   r
  !      i  rD   :   %   r   A   r6      i     $      v   
"         rW  C   r  >   r8      rU  Z   r   <      r  1   rD      8      O   T   ,   r  r
  rS        i6  L   r  re     rY        r  e   rl  r  r  r	  r
  r  r7   r  r  r
  r  r  r  7   i@  ra  h         /            rI  ri  i  W   r8   x   rD   rY  rt  r   G   ru  r  *   rb  rr   r7   rz     ro   rD   r{  r}  rD   r}     r\  r   r~  4   _   a   3   r}  rq      rW     D   M   P   r   r~  j      R   6   rV     .   o   '   ?   rW     rW     r`  r   re  f   H   rZ  r  ro   rV         rc  X   r  rr   rr   rQ  rZ        r     ri  r:   rD   	g  r6   r7   i  i[  ro   rq  r   i  r      rr   i  #   r7   i  rW  r   r8   b   rr   U   [   r     ro   rk  r     rD   r  r      rX  r        r  rD   r  B   r  rU  Fr7  gM
@ro   g^I+?g~:?g+e?gH.!@gcZB>h@r   rr   rq   	^)p?r9  r   r   r;  r   r   r   rL   r=  r>  r?  r@  Zt5Zt6Zt7Zt8Zt9Zt10Zt11Zt12Zt13Zt14rA  rB  rC  r0   r0   r1   test_example2a  s0    z TestAndersonKSamp.test_example2ac                 C   s   g d}g d}g d}g d}g d}g d}g d}g d}g d	}	g d
}
g d}g d}g d}g d}t j|||||||||	|
||||fdd\}}}t|dd tg d|dd d t|ddd d S )NrF  rK  rT  r[  rj  rn  ro  rx  r  r  r  r  r  r  Tr7  g'1Z
@ro   r  r   rr   rq   r  r9  r   r  r  r0   r0   r1   test_example2b  s0    z TestAndersonKSamp.test_example2bc                 C   s  t ddd}t :}|jtdd tj||d gdd\}}}W d    n1 sT0    Y  t|dd	 t|d
 t 6}|jtdd t||d g\}}}W d    n1 s0    Y  t|dd	 t|d
 t :}|jtdd tj||d gdd\}}}W d    n1 s0    Y  t|dd t|d t 6}|jtdd t||d g\}}}W d    n1 s0    Y  t|dd t|d tj||d gdd\}}}t|dd t	|dddd t||d g\}}}t|dd t	|dddd tj||d gdd\}}}t|dd t	|dddd tj||d gdd\}}}t|d d t	|d!d"dd d S )#Nr   r   zp-value flooredr  g     @D@Fr7  g=
ףpD@ro   r   gGzD@zp-value capped      ?g?ܵrq         ?g?ܵ      @g!u?gףp=
׳?{Gzt?r   r  r?   r5   gBiq?g鷯?      '@g:M@g46<Rv?gMb@?g      +@g6>W[1@g1ZGUS?-C6?)
r*   linspacer
   filterr  r   r;  r   r	   r   )rL   r   supr   _rC  r0   r0   r1   test_R_kSamples  sB    !:
6
<
8
z!TestAndersonKSamp.test_R_kSamplesc                 C   s   t ttjtd d S Nrr   rR   rS   r   r;  r*   r   rT   r0   r0   r1   test_not_enough_samples7  s    z)TestAndersonKSamp.test_not_enough_samplesc                 C   s"   t ttjtdtdf d S r  r  rT   r0   r0   r1   test_no_distinct_observations:  s    z/TestAndersonKSamp.test_no_distinct_observationsc                 C   s   t ttjtdg f d S r  r  rT   r0   r0   r1   test_empty_sample>  s    z#TestAndersonKSamp.test_empty_samplec                 C   sH   g d}t g d}tj||fdd}d}t|| t|j|j d S )Nr/  r0  Fr7  r   )r*   r   r   r;  r   r	   r   r   )rL   r=  r>  rZ   rY   r0   r0   r1   r\   A  s    
z(TestAndersonKSamp.test_result_attributesN)r]   r^   r_   rD  rE  r  r  r  r  r  r  r\   r0   r0   r0   r1   r.    s     P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g dg dddfg dg dddfg dg dddfg dg dddfg dg dddfg dg dddfgdd Zdd ZdS ) 
TestAnsaric                 C   sn   g d}g d}t  ,}|td t||\}}W d    n1 sH0    Y  t|dd t|dd d S )Nr   r   ro   ro   rq   ro   r   r5   r   r5   r   rq   r   %Ties preclude use of exact statistic.g     7@r}  g8#oG?)r
   r  r  r   ansarir   )rL   rX   yr  Wpvalr0   r0   r1   
test_smallO  s    .zTestAnsari.test_smallc                 C   sr   t d}t d}t ,}|td t||\}}W d    n1 sL0    Y  t|dd t|dd d S )Nr  r  r   c   r  r  m   l   rq  r  rm  `   r  r  r  q   t   r  n   r  r  r  r  r  i   g   r  r  rq  r   r  r  r  rq  r   r  r  r  r  r  r  g     0g@r}  g|:?)r*   r   r
   r  r  r   r  r   )rL   ZramsayZparekhr  r  r  r0   r0   r1   test_approxX  s    

.zTestAnsari.test_approxc                 C   s4   t g dg d\}}t|dd t|dd d S )Nr   r   ro   rq   )rV   rr   rb  r9   r   r7   r@   r}  g?r8   )r   r  r   )rL   r  r  r0   r0   r1   
test_exactf  s    zTestAnsari.test_exactc                 C   s(   t ttjg dg t ttjdgg  d S re   rR   rS   r   r  rT   r0   r0   r1   rg   k  s    zTestAnsari.test_bad_argc                 C   s`   g d}g d}t  (}|td t||}W d    n1 sD0    Y  d}t|| d S )Nr  r  r  rI   r   )r
   r  r  r   r  r   )rL   rX   r  r  rZ   rY   r0   r0   r1   r\   o  s    *z!TestAnsari.test_result_attributesc                 C   sT   g d}g d}d}t t|d  tj||dd W d    n1 sF0    Y  d S )Nr  rr   r5   r8   r9   z!'alternative' must be 'two-sided'r  fooalternativer  )rL   r   r   r  r0   r0   r1   test_bad_alternativex  s
    zTestAnsari.test_bad_alternativec           
      C   s   g d}g d}t ||\}}t j||ddj}t j||ddj}|dksPJ |dk s\J t|t|t|}t|| d| d	d
 t||d d	d
 t|d| |d  d	d
 t j||ddj}t j||ddj}	|dk sJ |	dksJ d S )N)r   rr   r   rV   rb  rf  )r  g      !@      #@g      %@r  g      )@lessr  greaterffffff?皙?r   -q=r   r   )r   r  r   r   pmfr   r   )
rL   r   r   rI   r  pval_lpval_gZprobZpval_l_reverseZpval_g_reverser0   r0   r1   test_alternative_exact  s    z!TestAnsari.test_alternative_exactzx, y, alternative, expectedr  r  r  g@A?r  rn   )rq   rr   r5   r8   r9   gG$I?g%I$I?rp   )r5   r8   r9   c                 C   s$   t j|||dj}t||dd d S )Nr  r  r   )r   r  r   r   )rL   rX   r  r  expectedr  r0   r0   r1   test_alternative_exact_with_R  s    z(TestAnsari.test_alternative_exact_with_Rc                 C   s   t jjddddd}t jjddddd}t j||ddj}t j||d	dj}t|d
dd t|ddd t jjddddd}t jjddddd}t ||j}t j||ddj}t j||d	dj}t||d dd t|d|d  dd d S )Nr   rr   r   {   r"  r   r  r  r  r   r  r   r   r]        ?r   )r   r   r-   r  r   r   )rL   r   r   r  r  r  r0   r0   r1   test_alternative_approx  s    z"TestAnsari.test_alternative_approxN)r]   r^   r_   r  r  r  rg   r\   r  r  r  r,  r-  r  r  r0   r0   r0   r1   r  M  s&   		
r  c                   @   s4   e Zd Zdd Zdd Zdd Zdd Zd	d
 ZdS )TestBartlettc              
   C   sB   t ttttttttt	g
}t
j| \}}t|dd t|dd d S )NgzU@ /4@r8   gG?)g1g2g3g4g5g6g7g8g9g10r   bartlettr   )rL   r.   Tr  r0   r0   r1   	test_data  s    zTestBartlett.test_datac                 C   s   t ttjdg d S re   )rR   rS   r   r  rT   r0   r0   r1   rg     s    zTestBartlett.test_bad_argc              
   C   s4   t ttttttttt	g
}t
j| }d}t|| d S Nr  )r  r  r  r  r  r  r  r  r  r  r   r  r   rL   r.   rZ   rY   r0   r0   r1   r\     s    
z#TestBartlett.test_result_attributesc                 C   s6   t ttttttttt	g f}t
tjtjftj|  d S r)   )r  r  r  r  r  r  r  r  r  r  r	   r*   r   r   r  )rL   r.   r0   r0   r1   test_empty_arg  s    zTestBartlett.test_empty_argc                 C   s*   t ddgddgg}tttjt| d S Nr   r   ro   rq   )r*   r   rR   rS   r   r  r  r   r0   r0   r1   test_1d_input  s    zTestBartlett.test_1d_inputN)r]   r^   r_   r  rg   r\   r  r  r0   r0   r0   r1   r    s
   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 )
TestLevenec              
   C   sB   t ttttttttt	g
}t
j| \}}t|dd t|dd d S )NgYpK?r8   gI{]?)r  r  r  r  r  r  r  r  r  r  r   levener   )rL   r.   r  r  r0   r0   r1   r    s    zTestLevene.test_datac                 C   sF   t jtttdd\}}t jtttddd\}}t|| t|| d S )NrN   centertrimmedr   r
  Zproportiontocut)r   r  r  r  r  r   )rL   W1pval1W2pval2r0   r0   r1   test_trimmed1  s    

zTestLevene.test_trimmed1c           
      C   s   g d}g d}t jd t j|}tj||ddd\}}tj||ddd\}}tj|dd |dd d	d
\}}	t|| t|| t||	 d S )Ng333333?       @      @      @      @      @      @g      Y@r   r        @r  g      @r  g      @g      i@  r        ?r  r   r   rN   r	  )r*   r#  seedpermutationr   r  r   )
rL   rX   r  r   ZW0Zpval0r  r  r  r  r0   r0   r1   test_trimmed2  s    



$

zTestLevene.test_trimmed2c                 C   sn   t ddd}t jd t j|}|d }tj||dd\}}tj||dd\}}t|| t|| d S )	Nr   r   r  r  ro   rN   r	  median)r*   r  r#  r  r  r   r  r   )rL   rX   r   r  r  r  r  r  r0   r0   r1   test_equal_mean_median  s    
z!TestLevene.test_equal_mean_medianc                 C   s&   t ddd}tttj||dd d S Nr   r   r  皙?)Zportiontocut)r*   r  rR   	TypeErrorr   r  r   r0   r0   r1   test_bad_keyword  s    zTestLevene.test_bad_keywordc                 C   s&   t ddd}tttj||dd d S Nr   r   r  Ztrimr	  )r*   r  rR   rS   r   r  r   r0   r0   r1   test_bad_center_value  s    z TestLevene.test_bad_center_valuec                 C   s   t ttjdg d S re   )rR   rS   r   r  rT   r0   r0   r1   test_too_few_args#  s    zTestLevene.test_too_few_argsc              
   C   s4   t ttttttttt	g
}t
j| }d}t|| d S r  )r  r  r  r  r  r  r  r  r  r  r   r  r   r  r0   r0   r1   r\   &  s    
z!TestLevene.test_result_attributesc                 C   s*   t ddgddgg}tttjt| d S r  )r*   r   rR   rS   r   r  r  r   r0   r0   r1   r  -  s    zTestLevene.test_1d_inputN)r]   r^   r_   r  r  r  r!  r%  r'  r(  r\   r  r0   r0   r0   r1   r    s   	
r  c                   @   sd   e Zd ZdZedddZdd Zd	d
 Zdd Zdd Z	dd Z
ejjejdkdddd ZdS )TestBinomTestPzU
    Tests for stats.binomtest as a replacement for deprecated stats.binom_test.
    Nr  	two-sidedc                 C   s   t | t j} t| dkr8| d | d  }| d } n@t| dkrp| d } |d u s\|| k rdtdt |}ntdtj| |||d}|jS )Nr   r   r   zn must be >= xzIncorrect length for x.rC  r  )	r*   Z
atleast_1dZastypeint_r   rS   r   	binomtestr   )rX   r   rC  r  resultr0   r0   r1   binom_test_func6  s    
zTestBinomTestP.binom_test_funcc                 C   sR   |  dd}t|dd |  dd}t|dd | j dd	gd
d}t|dd d S )Nr      g-"^?r}  rR  i  g`w?i           ?rC  gz?r/  r   )rL   r  r0   r0   r1   r  H  s    zTestBinomTestP.test_datac                 C   s   t t| jg d d S Nrn   rR   rS   r/  rT   r0   r0   r1   test_bad_len_xP  s    zTestBinomTestP.test_bad_len_xc                 C   s(   t t| jdg t t| jdgdd d S )Nr   r   r   r6  rT   r0   r0   r1   
test_bad_nT  s    zTestBinomTestP.test_bad_nc                 C   s   t t| jddgdd d S )Nr   r  r3  r6  rT   r0   r0   r1   
test_bad_p[  s    zTestBinomTestP.test_bad_pc                 C   sX   | j ddddd}t|d | j ddddd}t|d | j dddd	d}t|d
 d S )Nr     gUUUUUU?r  r+  g-$Ǻl?r  gs0,j.?r*  gJfJ"f?r4  rL   rZ   r0   r0   r1   test_alternatives_  s    

z TestBinomTestP.test_alternativesl        z32-bit does not overflowreasonc                 C   s   t t| jddtjjd d S )Nr  r5   r3  )rR   OverflowErrorr/  sys
float_infominrT   r0   r0   r1   test_boost_overflow_raisesi  s    z)TestBinomTestP.test_boost_overflow_raises)Nr  r*  )r]   r^   r_   __doc__staticmethodr/  r  r7  r9  r:  r=  r  r,  skipifrA  maxsizerD  r0   r0   r0   r1   r)  2  s   
r)  c                   @   s  e Zd ZdZdd Zdd Zdd Zdd	 Zej	
d
g ddd Zej	
d
g ddd Zej	
dg ddd Zej	
dg ddd Zej	
dg dg dg dg dg dg dg d g d!g d"g d#g d$g d%g d&g d'g d(g d)g d*g d+g d,g d-g d.g d/g d0g d1gd2d3 Zd4d5 Zej	
d6d7d8gd9d: Zd;d< Zd=d> Zd?d@ ZdAdB ZdCS )DTestBinomTestzTests for stats.binomtest.c                 C   s   d}t ddd}t|jd|d t ddd}t|jd|d t d	dd}t|jd
|d t ddd}t|jddd d S )N绽|=iΙ i@o@Q?r   r>   iΙ gX7?i	ϙ g=?iϙ gybw?rB   r   r-  r   r   rL   r?   rZ   r0   r0   r1   test_two_sided_pvalues1v  s    z%TestBinomTest.test_two_sided_pvalues1c                 C   s   d}t jdddd}t|jd|d t ddd}t|jd	|d t d
dd}t|jd|d t ddd}t|jd|d t ddd}t|jd|d t ddd}t|jd|d t ddd}t|jd|d d S )NrJ  r6   r  rK  r   rC  gX-h?r>   rq   g㤶y?r}  g	y}?r8   g+,?ro   r   r  g      ?r   r   g{Gz?g333333?g<,?rL  rM  r0   r0   r1   test_two_sided_pvalues2  s    z%TestBinomTest.test_two_sided_pvalues2c                 C   s   d}t ddd}t|jd|d t ddd	}t|jd|d t d
dd}t|jd|d t ddd}t|jd|d t dd
d}t|jd|d t ddd}t|jd|d d S )NrJ  i  i  r  r   r>   ro   rt  gAL &W?r:   r  g!YB?rV   re  gE]t?r8   r5   r}  rL  rM  r0   r0   r1   test_edge_cases  s    zTestBinomTest.test_edge_casesc                    s,  d dd}t t    d }tj| }t jtj| |kdd}t fdd| t    } | t|tj| k }t	||d	d
 d}t t 
  d }tj| }t jtj| |kdd}t fdd|dt 
  }|d }t	||d	d
 d S )Nr   r  ro   r   r   axisc                    s   t j|   S r)   r   binomr  r   rO  r0   r1   <lambda>  s    z>TestBinomTest.test_binary_srch_for_binom_tst.<locals>.<lambda>rB   r>   r8   c                    s   t j|  S r)   rT  rV  rO  r0   r1   rW    s    )r*   rW   ceilr   rU  r  sumr   intr   floor)rL   kr[   dy1ixy2r0   rO  r1   test_binary_srch_for_binom_tst  s(     z,TestBinomTest.test_binary_srch_for_binom_tstz"alternative, pval, ci_low, ci_high))r  g$W?r   g?)r  g}?gGI~?r   )r*  g}G?g>?6?g4M?c                 C   sX   t jddd|d}t|j|dd t|jd |jdd	}t|j|jf||fdd d S )
Nrb  r   r  r   rC  r  r  r>   皙?r  confidence_level	r   r-  r   r   r	   rI   proportion_cilowhighrL   r  r  ci_lowci_highrZ   cir0   r0   r1   test_confidence_intervals1  s
    z(TestBinomTest.test_confidence_intervals1))r  ga&+w?r   gny?)r  g5!Rx?g5%?r   )r*  g~th?gSuR&|?g|KnG?c                 C   sX   t jddd|d}t|j|dd t|jd |jdd	}t|j|jf||fdd d S )
Nro   r   rc  rb  r   r>   gQ?r%   rd  rf  rj  r0   r0   r1   test_confidence_intervals2  s
    z(TestBinomTest.test_confidence_intervals2zalternative, pval, ci_high))r  gլ?g̓A?)r  r   r   )r*  gEow?g;Kڞj?c                 C   sN   t jddd|d}t|j|dd |jdd}t|jd	 t|j|dd d S )
Nr   r   r  r+  r   r>   r  rd  r   )r   r-  r   r   rg  r	   rh  ri  )rL   r  r  rl  rZ   rm  r0   r0   r1   !test_confidence_interval_exact_k0  s
    z/TestBinomTest.test_confidence_interval_exact_k0zalternative, pval, ci_low))r  r   r   )r  6>g@>}_?)r*  rq  gcڒ ?c                 C   sN   t jddd|d}t|j|dd |jdd}t|jd t|j|dd d S )	Nr   r  r+  r   r>   r  rd  r   )r   r-  r   r   rg  r	   ri  rh  )rL   r  r  rk  rZ   rm  r0   r0   r1   %test_confidence_interval_exact_k_is_n  s
    z3TestBinomTest.test_confidence_interval_exact_k_is_nz+k, alternative, corr, conf, ci_low, ci_high)ro   r*  Tr  g`?g?)ro   r*  Tr%   grt!?g/?)ro   r*  Fr  gVK5?g5dM?)ro   r*  Fr%   gXCVu^?g*r[?)ro   r  Tr  r   gP-V?)ro   r  Tr%   r   g^'?)ro   r  Fr  r   gS5a?)ro   r  Fr%   r   g?)ro   r  Tr  g!Շ`ⰸ?r   )ro   r  Tr%   g$x"?r   )ro   r  Fr  gW~=?r   )ro   r  Fr%   g	L?r   )r   r*  Tr  r   gX?)r   r*  Fr  r   gN?)r   r  Tr  r   g/<7#9?)r   r  Fr  r   gAA?)r   r  Tr  r   r   )r   r  Fr  r   r   )r   r*  Tr  g7?r   )r   r*  Fr  g؍s?r   )r   r  Tr  r   r   )r   r  Fr  r   r   )r   r  Tr  ghadn?r   )r   r  Fr  gAB/?r   c           
      C   sL   t j|dd|d}|rd}nd}|j||d}	t|	j|	jf||fdd d S )	Nr   r#  rb  ZwilsonccZwilson)re  methodr   r>   )r   r-  rg  r   rh  ri  )
rL   r\  r  Zcorrconfrk  rl  rZ   rs  rm  r0   r0   r1   test_ci_wilson_method  s    z#TestBinomTest.test_ci_wilson_methodc                 C   s*   t ddd}t|jd t|jd d S )Nrq   r~  r  r   )r   r-  r	   rI   r   r<  r0   r0   r1   &test_estimate_equals_hypothesized_prop#  s    z4TestBinomTest.test_estimate_equals_hypothesized_propzk, n)r   r   )r   r   c                 C   s>   t jtdd t|| W d    n1 s00    Y  d S )Nz must be an integer not less thanr  r  r   rS   r   r-  )rL   r\  r   r0   r0   r1   test_invalid_k_n+  s    zTestBinomTest.test_invalid_k_nc                 C   s@   t jtdd tddd W d    n1 s20    Y  d S )Nzk must not be greater than nr  r}  r   r  rw  rT   r0   r0   r1   test_invalid_k_too_big1  s    z$TestBinomTest.test_invalid_k_too_bigc                 C   sN   t jdddd}tjtdd |jdd W d    n1 s@0    Y  d S )	Nro   r   r#  rO  zmust be in the intervalr  r   rd  r   r-  r  r   rS   rg  r<  r0   r0   r1   test_invalid_confidence_level6  s    z+TestBinomTest.test_invalid_confidence_levelc                 C   sN   t jdddd}tjtdd |jdd W d    n1 s@0    Y  d S )	Nro   r   r#  rO  zmethod must ber  zplate of shrimprs  rz  r<  r0   r0   r1   test_invalid_ci_method;  s    z$TestBinomTest.test_invalid_ci_methodc                 C   s"   t jdddd}t|j|j d S )Nro   r   r#  rO  )r   r-  r	   Zproportion_estimaterI   r<  r0   r0   r1   
test_alias@  s    zTestBinomTest.test_aliasN)r]   r^   r_   rE  rN  rP  rQ  ra  r  r,  r-  rn  ro  rp  rr  ru  rv  rx  ry  r{  r}  r~  r0   r0   r0   r1   rI  o  sr    


	
	


rI  c                   @   sD   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S )TestFlignerc                 C   s&   t d}tt||d dd d S )Nrr   r   )gnf	@gDq?r}  )r*   rW   r   r   fligner)rL   r   r0   r0   r1   r  G  s
    
zTestFligner.test_datac           	         sv   t jd  fdd}|t}|t}|t}tj|||dd\}}tj|||ddd\}}t|| t|| d S )	Nr  c                    s    t | d t|    S )NrJ  )r*   asarrayrandnr   tolist)gr   r0   r1   _perturbS  s    z+TestFligner.test_trimmed1.<locals>._perturbrN   r	  r  r   r  )	r*   r#  r   r  r  r  r   r  r   )	rL   r  Zg1_Zg2_Zg3_Xsq1r  Xsq2r  r0   r  r1   r  N  s    

zTestFligner.test_trimmed1c                 C   sb   g d}g d}t j||ddd\}}t j|dd |dd dd	\}}t|| t|| d S )
Nr  r  r  r  r  r   r   rN   r	  )r   r  r   )rL   rX   r  r  r  r  r  r0   r0   r1   r  a  s    

$
zTestFligner.test_trimmed2c                 C   s&   t ddd}tttj||dd d S r"  )r*   r  rR   r$  r   r  r   r0   r0   r1   r%  {  s    zTestFligner.test_bad_keywordc                 C   s&   t ddd}tttj||dd d S r&  )r*   r  rR   rS   r   r  r   r0   r0   r1   r'    s    z!TestFligner.test_bad_center_valuec                 C   s   t ttjdg d S re   )rR   rS   r   r  rT   r0   r0   r1   test_bad_num_args  s    zTestFligner.test_bad_num_argsc                 C   s.   t d}tt jt jft||d g  d S )Nrr   r   )r*   rW   r	   r   r   r  r   r0   r0   r1   r    s    
zTestFligner.test_empty_argN)
r]   r^   r_   r  r  r  r%  r'  r  r  r0   r0   r0   r1   r  E  s   r  c                  c   s   g d} g d}t |D ]\}}tj|}|d}|jdddd}|jdddd}t||D ],\}}	t|d ||	 D ]}
|| ||
< qzq`|| t|d	\}}||d
g| | R V  qd S )N))g]YCgQɣ?)gme5gϵ5?)g;jgH?)iFeiHcMi%:r   r   r  rr   )rh  ri  r   r   r   r  )		enumerater*   r#  r$  Zintegersziprangeshufflesplit)Zexpected_resultsZseedssir  r'  ZxyZtie_indZnum_ties_per_indr[   r   jrX   r  r0   r0   r1   mood_cases_with_ties  s    

r  c                   @   s   e Zd Zejde dd Zejdg ddd Zdd	 Z	d
d Z
dd Zdd Zdd Zdd Zejdg ddd ZdS )TestMoodz$x,y,alternative,stat_expect,p_expectc                 C   s4   t j|||d\}}t||dd t||dd dS )am  
        Example code used to generate SAS output:
        DATA myData;
        INPUT X Y;
        CARDS;
        1 0
        1 1
        1 2
        1 3
        1 4
        2 0
        2 1
        2 4
        2 9
        2 16
        ods graphics on;
        proc npar1way mood data=myData ;
           class X;
            ods output  MoodTest=mt;
        proc contents data=mt;
        proc print data=mt;
          format     Prob1 17.16 Prob2 17.16 Statistic 17.16 Z 17.16 ;
            title "Mood Two-Sample Test";
        proc print data=myData;
            title "Data for above results";
          run;
        r  gؗҜ<r   Nr   moodr   )rL   rX   r  r  Zstat_expectZp_expectrI   r   r0   r0   r1   test_against_SAS  s    zTestMood.test_against_SASzalternative, expected))r*  )3oXQ?gpL?)r  )r  gԣl?)r  )r  gpL?c                 C   s.   g d}g d}t j|||d}t|| d S )Nr  r  r  r  )rL   r  r  rX   r  rZ   r0   r0   r1   test_against_SAS_2  s    	zTestMood.test_against_SAS_2c                 C   s`   t jd t jdd}t jdd}t||\}}t||\}}t||g| |g d S )Nr  r   r   rV   )r*   r#  r  r  r   r  r   )rL   r   r   Zz1p1Zz2p2r0   r0   r1   test_mood_order_of_args  s    z TestMood.test_mood_order_of_argsc                 C   sN   g d}g d}t |}t |}d|_d|_ttj||d dddg d S )N)gg۟?gy<7xg1)E?g9cç?g
FAg<=ӟ	2?g{![?g_l?gڻ{ӿgGSsA0?g1?g 3ggL?g_lg,*.gː53?gvNqG?gW=?)gd"g `Y#?g^g?gNgBagp5_%?g(?gv]lοgg?ggr6ʺ?ḡj?gK!ٿg{g&?g*h}gZ?gyBU?g .ۋ4?g|w;?g&ck @gRj2g}+w(o?g@F?g}_9t?g =g	S?gx(gg7Y?g{ih?)r   r   )rV   r   rR  g4g^}E	?)r*   r   shaper   r   r  )rL   r   r   r0   r0   r1   test_mood_with_axis_none  s    

z!TestMood.test_mood_with_axis_nonec              
   C   s   d}t jd t jd|}t jd|}t||\}}t|D ]:}t|| || gt|d d |f |d d |f  qD| }| }tj||dd\}}t|D ]:}t|| || gt||d d f ||d d f  qd S )Nrr   r  r   rV   r   rR  )	r*   r#  r  r  r   r  r  r   Z	transpose)rL   nyr   r   	z_vectestpval_vectestr  r[   r0   r0   r1   test_mood_2d  s     ""zTestMood.test_mood_2dc              	   C   s@  d}t jd t jj| }t jj| }tdD ]}tj|||d\}}ddgddgddgf}t||| d  D ]}t||| d  D ]}	|dkr|d d ||	f }
|d d ||	f }nR|dkr||d d |	f }
||d d |	f }n$|||	d d f }
|||	d d f }t|||	f |||	f gt|
| qqtq0d S )N)r   rr   r5   r  ro   rR  r   r   r   )r*   r#  r  r  r  r   r  r   )rL   r  r   r   rS  r  r  Zaxes_idxr[   r  Zslice1Zslice2r0   r0   r1   test_mood_3d  s,    

zTestMood.test_mood_3dc                 C   s   t ttjdgg  d S re   )rR   rS   r   r  rT   r0   r0   r1   test_mood_bad_arg0  s    zTestMood.test_mood_bad_argc           	      C   s   t jd tjjddd}tjjddd}tj||dd\}}tj||dd\}}tj||d	d\}}||  kr||ksn J t|dd
d t||d  t|d|d   tj	t
dd  tj||dd W d    n1 s0    Y  d S )Nr   r2  r   )r   r   g      ?r*  r  r  r  Hz>r   r   r   zalternative must be...r  z	ekki-ekki)r*   r#  r  r   r   r-   r  r   r  r   rS   )	rL   rX   r  Zstat1r  Zstat2r  Zstat3Zp3r0   r0   r1   test_mood_alternative5  s    zTestMood.test_mood_alternativer  )r*  r  r  c                 C   sF   t jd}|d}|d}tj|||d}t|j|jf| d S )Nl	   hTt fU6H~ )r   r   )rV   r   r  )	r*   r#  r$  r   r   r  r	   rI   r   )rL   r  r'  r   r   rZ   r0   r0   r1   test_resultG  s
    

zTestMood.test_resultN)r]   r^   r_   r  r,  r-  r  r  r  r  r  r  r  r  r  r  r0   r0   r0   r1   r    s    
 
	
r  c                   @   sV   e Zd Zdd Zdd Zdd Zejje	 ddd	d
 Z
dd Zdd Zdd ZdS )TestProbplotc                 C   sl   t jjddd}t j|dd\}}g d}t|t| t|| t j|dd\}}g d}t|| d S )	Nrb  90  r"  Fr   )g+/gY3gtg5Z0gFjg!2gsR{ܿg7Կg>hǿgcz隇gcz隇?g>h?g7?gsR{?g!2?gFj?g5Z0?gt?gY3?g+/?T)gƝV?g?gà?)r   r   r-   probplotr   r*   sort)rL   rX   osmosrZosm_expectedrZ   Zres_fitZres_fit_expectedr0   r0   r1   rQ   S  s    
zTestProbplot.test_basicc           
      C   s   t jjddd}t j|d dd\}}t j|ddd\}}t j|ddd\}}t|| t|| t|| t|| t j|ddd\}}	d S )Nr   i@ r"  Fsparamsr   r   r0   )r   r   r-   r  r   )
rL   rX   osm1osr1osm2osr2Zosm3Zosr3r  r  r0   r0   r1   test_sparams_keywordb  s    



z!TestProbplot.test_sparams_keywordc                 C   s   t jjddd}t j|dddd\}}t j|dt jdd\}}t|| t|| ttt j|dd	 ttt j|g d	 G d
d d}t j|ddd\}}t j|| dd\}}t|| t|| d S )Nrb  r  r"  Ft)ro   )r   r   r  zwrong-dist-namer   c                   @   s   e Zd ZdZdd ZdS )z3TestProbplot.test_dist_keyword.<locals>.custom_distz6Some class that looks just enough like a distribution.c                 S   s   t jj|ddS )Nr   )r   )r   r   ppf)rL   qr0   r0   r1   r  |  s    z7TestProbplot.test_dist_keyword.<locals>.custom_dist.ppfN)r]   r^   r_   rE  r  r0   r0   r0   r1   custom_distz  s   r  )r   r  )r   r   )	r   r   r-   r  r  r   rR   rS   AttributeError)rL   rX   r  r  r  r  r  r0   r0   r1   test_dist_keywordp  s    


zTestProbplot.test_dist_keywordno matplotlibr>  c           
      C   s  t  }|d tjjdddd}tj|t d\}}t   tj|d d\}}tj|dt d}t   tj|dd d}tt	|t	|  kot	|  kot	|  kod	kn   t
|| t
|| t
|| t
|| t  }|d}	tj|d|	d t   d S )
Nr  ro   r   t r"  plotF)r   r  r   )pltfigureadd_subplotr   r  r-   r  closer   r   r   )
rL   figrX   Zres1Zfitres1Zres2Zfitres2Zres3Zres4axr0   r0   r1   test_plot_kwarg  s$    
@




zTestProbplot.test_plot_kwargc                 C   s   t ttjdgdd d S r   )rR   rS   r   r  rT   r0   r0   r1   test_probplot_bad_args  s    z#TestProbplot.test_probplot_bad_argsc                 C   sZ   t tjg ddtg tg f t tjg ddtg tg ftjtjdff d S )NFr  Tr   )r	   r   r  r*   r   r   rT   r0   r0   r1   
test_empty  s    zTestProbplot.test_emptyc                 C   sh   t jddH ttjdgddt dgt dgft jt jdff W d    n1 sZ0    Y  d S )Nr   )invalidr   Tr  r   )r*   r   r	   r   r  r   r   rT   r0   r0   r1   test_array_of_size_one  s    z#TestProbplot.test_array_of_size_oneN)r]   r^   r_   rQ   r  r  r  r,  rG  have_matplotlibr  r  r  r  r0   r0   r0   r1   r  Q  s   
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	dd Z
dd Zdd Zdd Zejdg dg dg dgdd Zdd ZdS ) TestWilcoxonc                 C   sh   t ttjdgddg t ttjddgddgd t ttjddgddgdd t ttjdgd dd d S )Nr   r   dummyr  r   Zxyzmode)rR   rS   r   wilcoxonrT   r0   r0   r1   test_wilcoxon_bad_arg  s    z"TestWilcoxon.test_wilcoxon_bad_argc                 C   sR   t d}tttj||ddd tttj||ddd ttj||dddd d S )Nrb  wilcoxapproxr  prattzsplit)g     @Z@r   )r*   rW   rR   rS   r   r  r	   r   r0   r0   r1   test_zero_diff  s    
zTestWilcoxon.test_zero_diffc                 C   sd   g d}g d}t  0}|jtdd tj||ddd}W d    n1 sL0    Y  t|d d S )	Nr  )r   r   ro   rr   Sample size too smallr  r  r  Zzero_methodr  )r   g|N?)r
   r  r  r   r  r   )rL   rX   r  r  rZ   r0   r0   r1   
test_pratt  s    0zTestWilcoxon.test_prattc                 C   s<   g d}t j|ddd}t j|ddd}t j|ddd}d S )N)r   r   ro   r   r   ro   r   r   r   r   r   r  r  r  r  r  )r   r  )rL   Zarrr  r0   r0   r1   test_wilcoxon_arg_type  s    z#TestWilcoxon.test_wilcoxon_arg_typec                 C   s2  g d}t dd}tdd t||D }t|j}tj||ddd\}}t|d	 t|d
 tj||ddd\}}t|d t|d tj||ddd\}}t|d t|d t	g d}t	g d}tj||ddd\}}t
|d t|ddd tj||ddd\}}t
|d t|ddd d S )N)	r   rq   r~  rV   r9   rq   rr   r   r   rr   c                 S   s   g | ]\}}|g| qS r0   r0   )rk   ur   r0   r0   r1   rl     rm   z7TestWilcoxon.test_accuracy_wilcoxon.<locals>.<listcomp>r  r  r  i  g.i?r  i  gFYv]Uj?r  iG  g%^ Ez?rz  r  rJ  r        y   r     r     p         w   r   r     r   r  s   r  r     F
correctionr  rU  g^҂<?r   r>   Tg:b+?)r  r*   Zconcatenater  zerosr   r   r  r   r   r	   )rL   freqnumsrX   r  r   rC  r0   r0   r1   test_accuracy_wilcoxon  s*    








z#TestWilcoxon.test_accuracy_wilcoxonc                 C   s@   t g d}t g d}tj||ddd}d}t|| d S )Nr  r  Fr  r  r  )r*   r   r   r  r   )rL   rX   r  rZ   rY   r0   r0   r1   test_wilcoxon_result_attributes  s
    z,TestWilcoxon.test_wilcoxon_result_attributesc                 C   s   t jd}|d|d }}tj||dd}tj|jd }t|j	| tj||dd}t
|drnJ t||}t
|drJ d S )Nl   	m$S rV   r  r  r   exact
zstatistic)r*   r#  r$  r   r  r   r  r   r   r  hasattr)rL   r'  rX   r  rZ   r   r0   r0   r1   test_wilcoxon_has_zstatistic  s    z)TestWilcoxon.test_wilcoxon_has_zstatisticc                 C   sn   t jdgd dd\}}d}t|d t||dd t jdgd d	dd
\}}d}t|d t||dd d S )Nr#  r   r  r  g4IťY?r   r   r>   Tr  gc2_?)r   r  r	   r   )rL   statrC  Z
expected_pr0   r0   r1   test_wilcoxon_tie	  s    	

zTestWilcoxon.test_wilcoxon_tiec                 C   s  g d}g d}t  4}|jtdd tj||ddd\}}W d    n1 sP0    Y  t|d t|d	d
d t  6}|jtdd tj||dddd\}}W d    n1 s0    Y  t|d t|dd
d t  4}|jtdd tj||ddd\}}W d    n1 s0    Y  t|d t|dd
d t  6}|jtdd tj||dddd\}}W d    n1 s~0    Y  t|d t|dd
d d S )N)
}   r  rk     r  r  r  r  r  r   )
r  z   r  rz  r  |   r     r      r  r  r  r  r  r  r  g13}?r5   rE   T)r  r  r  g7a%?r  g?gڏoJT?)r
   r  r  r   r  r	   r   )rL   rX   r  r  r   rC  r0   r0   r1   test_onesided  s4    	4
(
6
*
zTestWilcoxon.test_onesidedc                 C   sZ   t ddD ]J}t|}t|}t||d  d d t| tt|d t|| q
d S )Nr   r  r   )r  r   r   r	   r   rY  r   )rL   r   Zpmf1Zpmf2r0   r0   r1   test_exact_basicB  s    zTestWilcoxon.test_exact_basicc                 C   s  t g d}t g d}tj||ddd\}}t|ddd tj||d	dd\}}t|d
dd tj||ddd\}}t|ddd t ddd }t ddd}tj||ddd\}}t|ddd tj||d	dd\}}t|ddd tj||ddd\}}t|ddd d S )N)
g(\?g=
ףp=?g(\?gQ޿gQ?g{Gz?gp=
ףgq=
ףp?g      gQ?)
r   g?gɿg333333?皙gܿgzGgQοg(\gRQr*  r  r  g֔  ?r5   rE   r  gYJ?r  g*  ?r   rb  r  r   g(?g(?gS?)r*   r   r   r  r   rW   )rL   rX   r  r  rC  r0   r0   r1   test_exact_pvalJ  s     zTestWilcoxon.test_exact_pvalrX   )r   r   ro   )r   r   r   r  rr   )r   r   ro   r  r  ir8   r9   c                 C   s@   t |\}}t|}||dk  }t|| t|d d S Nr   r   )r   r  r*   r   rY  r	   )rL   rX   r   rC  Zwtruer0   r0   r1   test_exact_p_1f  s
    

zTestWilcoxon.test_exact_p_1c                 C   s   t ddd }t ddd}tt||tj||dd t dd}t ,}|jtdd	 t|\}}W d    n1 s0    Y  ttj|d
d||f t dd}tt|tj|d
d d S )Nr   rf  r  r   r  r  r:   zExact p-value calculationr  r  r   r  )r*   rW   r	   r   r  r
   r  r  )rL   rX   r  r]  r  r   rC  r0   r0   r1   	test_autop  s    ,zTestWilcoxon.test_autoN)r]   r^   r_   r  r  r  r  r  r  r  r  r  r  r   r  r,  r-  r  r  r0   r0   r0   r1   r    s"   	
	&
r  c                   @   s,   e Zd Zdd Zdd Zdd Zdd Zd	S )
	TestKstatc                    s   t jd t jd  fdddD }g d}t||dd tj d	d
}tj dd
}tj dd
}t|||f|d d ddd d S )Ni}  r  c                    s   g | ]}t  |qS r0   )r   kstat)rk   r   rM   r0   r1   rl     rm   z>TestKstat.test_moments_normal_distribution.<locals>.<listcomp>r  )gHQ,?glZ)rI?g88}?gcJN?r  r>   r   )momentr   ro   r   g{Gz?{Gz?r  )r*   r#  r  r  r   r   r  )rL   Zmomentsr  m1m2Zm3r0   r  r1    test_moments_normal_distribution  s    z*TestKstat.test_moments_normal_distributionc                 C   s   t ttjg  d S r)   )rR   rS   r   r  rT   r0   r0   r1   rU     s    zTestKstat.test_empty_inputc                 C   s*   t d}t j|d< tt|t j d S Nr@   r5   r*   rW   r   r	   r   r  rf   r0   r0   r1   r     s    

zTestKstat.test_nan_inputc                 C   s*   t d}dD ]}tttj||d qd S )Nr   )r   g/$@r8  )r*   rW   rR   rS   r   r  rL   rM   r   r0   r0   r1   test_kstat_bad_arg  s    
zTestKstat.test_kstat_bad_argN)r]   r^   r_   r  rU   r   r  r0   r0   r0   r1   r    s   r  c                   @   s$   e Zd Zdd Zdd Zdd ZdS )TestKstatVarc                 C   s   t ttjg  d S r)   rR   rS   r   ZkstatvarrT   r0   r0   r1   rU     s    zTestKstatVar.test_empty_inputc                 C   s*   t d}t j|d< tt|t j d S r  r  rf   r0   r0   r1   r     s    

zTestKstatVar.test_nan_inputc                 C   s    dg}d}t ttj||d d S )Nr   r   r8  r  r  r0   r0   r1   rg     s    zTestKstatVar.test_bad_argN)r]   r^   r_   rU   r   rg   r0   r0   r0   r1   r    s   r  c                   @   sN   e Zd Zdd Zdd Zdd Zejje	 ddd	d
 Z
dd Zdd ZdS )TestPpccPlotc                 C   s   t ddddd | _d S Nrr     r  r"  r2   rX   rT   r0   r0   r1   setup_method  s    zTestPpccPlot.setup_methodc                 C   sH   d}t j| jdd|d\}}g d}t|tjdd|d t|| d S )Nrr   r   N)g9%	?gxM _?g";9?g®XZ?g?num)r   	ppcc_plotrX   r   r*   r  )rL   r  svalsppccppcc_expectedr0   r0   r1   rQ     s
    zTestPpccPlot.test_basicc                 C   s   t j| jdddd\}}t j| jddt jd\}}t||dd t||dd t | jdd\}}t||dd t||dd d S )Nr  r   tukeylambdar   g#B;r>   )r   r  rX   r   r   )rL   Zsvals1Zppcc1Zsvals2Zppcc2Zsvals3Zppcc3r0   r0   r1   	test_dist  s    
zTestPpccPlot.test_distr  r>  c                 C   sZ   t  }|d}tj| jddt d || |d}tj| jdd|d t   d S Nr  irb  r  )r  r  r  r   r  rX   delaxesr  rL   r  r  r0   r0   r1   r    s    


zTestPpccPlot.test_plot_kwargc                 C   s2   t ttj| jdd t ttjg ddddd d S )Nr   r   rn   r   r   )rR   rS   r   r  rX   rT   r0   r0   r1   test_invalid_inputs  s    z TestPpccPlot.test_invalid_inputsc                 C   s@   t g dd\}}t|tjdddd t|tjdtd d S )Nr   r   r  r  r   )r   r  r   r*   r  r  float)rL   r  r  r0   r0   r1   r    s    zTestPpccPlot.test_emptyN)r]   r^   r_   r  rQ   r!  r  r,  rG  r  r  r%  r  r0   r0   r0   r1   r    s   
r  c                   @   s,   e Zd Zdd Zdd Zdd Zdd Zd	S )
TestPpccMaxc                 C   s   dg}t ttj|dd d S r   )rR   rS   r   ppcc_maxrf   r0   r0   r1   test_ppcc_max_bad_arg  s    z!TestPpccMax.test_ppcc_max_bad_argc                 C   s2   t jjddddddd }tt |dd	d
 d S )Nffffffr   r  '   r        @{r8   rE   )r   r   r-   r   r(  r   r0   r0   r1   test_ppcc_max_basic  s    zTestPpccMax.test_ppcc_max_basicc                 C   sp   t jjddddddd }t j|dd	}t j|t jd	}t|d
dd t|d
dd t |}t|d
dd d S )Nr*  r   r  r+  r,  r   r-  r   r   r.  rr   rE   )r   r   r-   r(  r   )rL   rX   Zmax1Zmax2Zmax3r0   r0   r1   r!    s    
zTestPpccMax.test_distc                 C   s`   t jjddddddd }ttt j|dd	 tt j|d
d	ddd tt j|dd	ddd d S )Nr*  r   r  r+  r,  r   r-  )r   r   r  )brack)r   r   r.  r8   rE   )r   r   )r   r   r-   rR   rS   r(  r   r   r0   r0   r1   
test_brack  s    zTestPpccMax.test_brackN)r]   r^   r_   r)  r/  r!  r1  r0   r0   r0   r1   r'    s   r'  c                   @   s4   e Zd Zdd Zdd Zdd Zdd Zd	d
 ZdS )TestBoxcox_llfc                 C   sT   t jjdddd}d}t ||}|j d tt| d  }t	|| d S )Nr+  r   1  r   r   r   r   r  r   )
r   r   r-   
boxcox_llfr   r*   r+   rY  rP   r   )rL   rX   lmbdallfZllf_expectedr0   r0   r1   rQ     s
    $zTestBoxcox_llf.test_basicc                 C   sD   t jjdddd}d}t ||}t |t|}t||dd d S Nr   r   r3  r4  r   r  r>   )r   r   r-   r5  listr   rL   rX   r6  r7  Zllf2r0   r0   r1   test_array_like  s
    zTestBoxcox_llf.test_array_likec                 C   sP   t jjdddd}d}t ||}t |t||gj}t||g|dd d S r8  )r   r   r-   r5  r*   vstackr   r   r:  r0   r0   r1   test_2d_input  s
    zTestBoxcox_llf.test_2d_inputc                 C   s   t ttdg  d S re   )r   r*   isnanr   r5  rT   r0   r0   r1   r  (  s    zTestBoxcox_llf.test_emptyc                 C   s"   g d}t d|}t|d d S )N)g     h@      m@r?  g     x@ig#:x1)r   r5  r   )rL   rM   r7  r0   r0   r1   test_gh_6873+  s    zTestBoxcox_llf.test_gh_6873N)r]   r^   r_   rQ   r;  r=  r  r@  r0   r0   r0   r1   r2    s
   
r2  (  iU>  iϵ i i_
 i7 i is iv  i+ i* i-q ir: i  i i i i_ i4  i iD  i i, iE i\  i i| ig  iM iӢ i[  i! i if6 iP i i iI i/ iF& i i i`# i i  i& i i iQ ia i
 iXZ iw  i_ im  iD i- iB  i:C i	 i' i  i % ix i  iz_ iQ i!# i= i  ix i
 iU7 i_ i1k iW9 i& ix iI i  iT i
 i i  irv im i͟  i iO iv i) iP i4 i= ii  iU i i ig> ix	 i` i| i0 i` iM	 i ' i[ i8 i  i3[ i  i) i`N i
	 i  i[ i:+ ip i	% i
  iV i[$ iX  i_ ib ieZ i i`?	 it i  i iE i iT iy i imv i< iZ i! i i(  ir
 i i iɪ i| i i> ii  i i* i# ix i i& i i# i1g iP i) iۆ i{% i? i۽ i| i i& i- iư) i+c i7  iQ i	o i& i|_ iy
 i6 i  i i i:J i#j i8 i  i%  i i%W i( i` i: ina  i  i i% i$ i4 iA( iq  i  i" iy iXZ i izr i i$ i; is igY i i7 ip	 ip iL6" iDH i i!3 i iI( i|C iш i im  iS i  i{8 i  i i iP i2L i( i@ is iu i2 i_ ij i)m igZ i_ iu	 i9 ik  i'; i ii iK i܃ i i= iv i= i ia  ir  i i i}W i*  i  iJ i i  i2  iUF iNj	 iV," ip iA i% i iv9 iI5 i  iT- i  i8~ i?e` i1 iV  i/X i= i4 i iح i^ i i/ ig i( i i|B; ip i ic iE' iE i$
 i i{ ik i: iI iA_ i iP ioP  i6_ i iܲ iO	 iA7 iL  iA i iV  iwm i iZh i|V iԇC iw i& i~ i i'  i!  i i
 i} ie i3 i i i_ i  i@) i  iV ii iF i? i&
 i"Y iw i  iH iS ird ib i@ iK iA; iz| id+ i	 i
8 i"  i	 iO i_ i$l i!9 ii iT iuL iQ'% iqp iC i]K@ i! i i  iIp| i i?	B i i io0 i i

 i  i5% i i i* i i iv0 i* i* iw i  ive i$ i i- iD~ i- i i,4 ib i  i iP0 i) im i	 iR iQ i
 i i c                   @   s   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g ddd Zdd Ze	j
dg ddd Zdd ZdS )
TestBoxcoxc                 C   s   t ddddd }tj|dd}t||d  tj|dd}t|dd|   tj|dd}t|t| tjt|dd}t|t| ttd	d
}t|t	d	 d S )Nrr   r   r  r"  r   r6  r   r   r   r   )
r2   r   r   r   r*   r+   r9  r   r	   r  )rL   rX   xtr0   r0   r1   test_fixed_lmbdak  s    zTestBoxcox.test_fixed_lmbdac                 C   sL   d}t jjdddd}|| d |  }t |\}}t|d| dd	 d S )
Ng      @r   iP  i  )r   r   r   r   r   r   rE   )r   r   r-   r   r   )rL   r6  rX   x_invrC  r   r0   r0   r1   test_lmbda_None}  s
    zTestBoxcox.test_lmbda_Nonec                 C   s   t jd}tdd|dd }tj|dd\}}}t|ddg tj|d	d\}}}t|d
dg tdd|dd }tj|dd\}}}t|ddg tj|dd\}}}t|ddg d S )Nr  rr   r   r"  r2  )alphagx@gv[%@r  gxˉEk?g8Bhk @r8   r  rV   r   g\?gx̡&@r   g7(U@gp:sY@)r*   r#  r   r2   r   r   r   )rL   r'  rX   r  rc   r0   r0   r1   
test_alpha  s    zTestBoxcox.test_alphac                 C   sR   t ddg}tttj| tttjt dg tttjt dgdgg d S )Nr   r   r   )r*   r   rR   rS   r   r   r   r0   r0   r1   test_boxcox_bad_arg  s    zTestBoxcox.test_boxcox_bad_argc                 C   s   t tg jdk d S N)r   )r   r   r   r  rT   r0   r0   r1   r    s    zTestBoxcox.test_emptyc                 C   s    t t\}}t|ddd d S )NgsHjdrr   r>   r   r   _boxcox_datar   )rL   r  Zlamr0   r0   r1   r@    s    zTestBoxcox.test_gh_6873bounds)r   r   )r   r   )r   r  c                    sF    fdd}t jtd |d\}} d |  k r< d k sBn J d S )Nc                    s   t j|  ddS Nbounded)rM  rs  r   minimize_scalarfunrM  r0   r1   	optimizer  s    zBTestBoxcox.test_bounded_optimizer_within_bounds.<locals>.optimizerr6  rV  r   r   )r   r   rL  )rL   rM  rV  r  r6  r0   rU  r1   $test_bounded_optimizer_within_bounds  s    z/TestBoxcox.test_bounded_optimizer_within_boundsc                    sj   t jtd d\}}|d |d f ddi fdd}t jtd |d\}}||ksXJ t| d	  d S )
NrB  r#  r   Zxatolr  c                    s   t j|  ddS )NrP  )rM  rs  optionsrQ  rS  rM  rY  r0   r1   rV    s    zPTestBoxcox.test_bounded_optimizer_against_unbounded_optimizer.<locals>.optimizerrW  r   rK  )rL   r  r6  rV  Zlmbda_boundedr0   rZ  r1   2test_bounded_optimizer_against_unbounded_optimizer  s    
z=TestBoxcox.test_bounded_optimizer_against_unbounded_optimizerrV  )strr   r   r#  c                 C   sB   t jtdd  tjtd |d W d    n1 s40    Y  d S )Nz`optimizer` must be a callabler  rW  r  r   rS   r   r   rL  rL   rV  r0   r0   r1   $test_bad_optimizer_type_raises_error  s    z/TestBoxcox.test_bad_optimizer_type_raises_errorc                 C   sN   dd }d}t jt|d  tjtd |d W d    n1 s@0    Y  d S )Nc                 S   s   dS re   r0   rS  r0   r0   r1   rV    s    zCTestBoxcox.test_bad_optimizer_value_raises_error.<locals>.optimizerz;`optimizer` must return an object containing the optimal...r  rW  r^  )rL   rV  r  r0   r0   r1   %test_bad_optimizer_value_raises_error  s    z0TestBoxcox.test_bad_optimizer_value_raises_errorN)r]   r^   r_   rD  rF  rH  rI  r  r@  r  r,  r-  rX  r[  r`  ra  r0   r0   r0   r1   rA  i  s   
	
	
rA  c                   @   sh   e Zd Zdd Zdd Zdd Zdd Zej	d	g d
ej	dg ddd Z
dd Zdd ZdS )TestBoxcoxNormmaxc                 C   s   t ddddd | _d S Nrr   r   r  r"  r  rT   r0   r0   r1   r    s    zTestBoxcoxNormmax.setup_methodc                 C   s   t | j}t|ddd d S )Nm?r   r>   r   boxcox_normmaxrX   r   rL   r   r0   r0   r1   test_pearsonr  s    zTestBoxcoxNormmax.test_pearsonrc                 C   s<   t j| jdd}t|ddd t | j\}}t|| d S )Nmler|  	.!?r   r>   )r   rf  rX   r   r   )rL   r   r  Zmaxlog_boxcoxr0   r0   r1   test_mle  s    zTestBoxcoxNormmax.test_mlec                 C   s&   t j| jdd}t|ddgdd d S )Nr   r|  rd  rj  r   r>   re  )rL   Z
maxlog_allr0   r0   r1   test_all  s    zTestBoxcoxNormmax.test_allrs  )ri  Zpearsonrr   rM  rN  c                    sN    fdd}t j| j||d}t d |k s4J t| d k sJJ d S )Nc                    s   t j|  ddS rO  rQ  rS  rU  r0   r1   rV    s    zITestBoxcoxNormmax.test_bounded_optimizer_within_bounds.<locals>.optimizer)rs  rV  r   r   )r   rf  rX   r*   r   )rL   rs  rM  rV  r   r0   rU  r1   rX    s    
z6TestBoxcoxNormmax.test_bounded_optimizer_within_boundsc                    sv   t | j}t|d}t|d |d dG dd d  fdd}t j| j|d}||ksfJ t||d	 d S )
Nrr   r  i  c                   @   s   e Zd ZdS )z?TestBoxcoxNormmax.test_user_defined_optimizer.<locals>.MyResultN)r]   r^   r_   r0   r0   r0   r1   MyResult  s   rm  c                    s6   g }D ]}| | | q  }t| |_|S r)   )appendr*   ZargminrX   )rT  objsr6  rZ   rm  Zlmbda_ranger0   r1   rV    s    z@TestBoxcoxNormmax.test_user_defined_optimizer.<locals>.optimizer)rV  r   )r   rf  rX   r*   roundr  r   )rL   r6  Zlmbda_roundedrV  Zlmbda2r0   rp  r1   test_user_defined_optimizer  s    	z-TestBoxcoxNormmax.test_user_defined_optimizerc                 C   s\   t j}tj| jd |d tjtdd" tj| jd|d W d    n1 sN0    Y  d S )N)r0  rV  z,`brack` must be None if `optimizer` is givenr  )g       r  )r   rR  r   rf  rX   r  r   rS   r_  r0   r0   r1   2test_user_defined_optimizer_and_brack_raises_error  s    
zDTestBoxcoxNormmax.test_user_defined_optimizer_and_brack_raises_errorN)r]   r^   r_   r  rh  rk  rl  r  r,  r-  rX  rr  rs  r0   r0   r0   r1   rb    s   rb  c                   @   sF   e Zd Zdd Zdd Zejje dddd Z	d	d
 Z
dd ZdS )TestBoxcoxNormplotc                 C   s   t ddddd | _d S r  r  rT   r0   r0   r1   r  '  s    zTestBoxcoxNormplot.setup_methodc                 C   sH   d}t j| jdd|d\}}g d}t|tjdd|d t|| d S )Nrr   r  r   r  )g!X4}?g΁i?g-	15?gW$?g\ܱ{?r  )r   boxcox_normplotrX   r   r*   r  )rL   r  Zlmbdasr  r  r0   r0   r1   rQ   *  s
    zTestBoxcoxNormplot.test_basicr  r>  c                 C   sZ   t  }|d}tj| jddt d || |d}tj| jdd|d t   d S r"  )r  r  r  r   ru  rX   r#  r  r$  r0   r0   r1   r  2  s    


z"TestBoxcoxNormplot.test_plot_kwargc                 C   s.   t ttj| jdd t ttjddgdd d S )Nr   r   r   )rR   rS   r   ru  rX   rT   r0   r0   r1   r%  ?  s    z&TestBoxcoxNormplot.test_invalid_inputsc                 C   s   t tg ddjdk d S r  )r   r   ru  r   rT   r0   r0   r1   r  E  s    zTestBoxcoxNormplot.test_emptyN)r]   r^   r_   r  rQ   r  r,  rG  r  r  r%  r  r0   r0   r0   r1   rt  &  s   
rt  c                   @   s$   e Zd Zdd Zdd Zdd ZdS )TestYeojohnson_llfc                 C   sD   t jjdddd}d}t ||}t |t|}t||dd d S )Nr   r   r3  r4  r   r  r>   )r   r   r-   yeojohnson_llfr9  r   r:  r0   r0   r1   r;  K  s
    z"TestYeojohnson_llf.test_array_likec                 C   sP   t jjdddd}d}t ||}t |t||gj}t||g|dd d S r8  )r   r   r-   rw  r*   r<  r   r   r:  r0   r0   r1   r=  R  s
    z TestYeojohnson_llf.test_2d_inputc                 C   s   t ttdg  d S re   )r   r*   r>  r   rw  rT   r0   r0   r1   r  Y  s    zTestYeojohnson_llf.test_emptyN)r]   r^   r_   r;  r=  r  r0   r0   r0   r1   rv  I  s   rv  c                   @   s   e Zd Zdd Zejdg ddd Zdd Zd	d
 Z	ejde
je
jgdd Zejde
je
je
je
jgdd Zdd ZdS )TestYeojohnsonc                 C   s  t jd}tdd|dd }t |dks0J tj|dd}t|| tj|dd}t|dd|d    tj|dd}t|t |d  tj|dd}t|| tdd|dd }t |dk sJ tj|d	d}t|t | d   tj|dd}t|| tj|d
d}t|d| d  d  tdd|dd	 }t |dk rTJ t |dkrhJ |dk}tj|dd}t|| ||  tj|dd}t|| dd|| d    tj|dd}t|| t || d  tj|dd}t|| ||  | }tj|d	d}t|| t ||  d   tj|dd}t|| ||  tj|d
d}t|| d||  d  d  d S )Nr  rr   r   r"  r   r   rB  r   r   ro   )	r*   r#  r   r2   r   r   
yeojohnsonr   r+   )rL   r'  rX   rC  posnegr0   r0   r1   rD  _  sL    


 zTestYeojohnson.test_fixed_lmbdar6  )r   r#  r  r   c                 C   s   dd }d}t jd t jjdd|d}|||}t|\}}t||dd	 tdt j	|| | d
d td|
 dd td| dd d S )Nc                 S   s   t j| j| jd}| dk}t|t dk rDt | | d ||< n$t | | | d d| d ||< t|d t dkrdt d|  | |   d dd|   || < ndt | |    || < |S )Nr   r   r   r   r   )r*   r  r  r   absspacingexppower)rX   r6  rE  rz  r0   r0   r1   _inverse_transform  s    $
z:TestYeojohnson.test_lmbda_None.<locals>._inverse_transformi N  r,  r   r   )r   r   r   r  r   r   rE   )r*   r#  r  normalr   ry  r   r   linalgr   rN   rP   )rL   r6  r  Z	n_samplesrX   rE  rC  r   r0   r0   r1   rF    s    
zTestYeojohnson.test_lmbda_Nonec                 C   s   t tg jdk d S rJ  )r   r   ry  r  rT   r0   r0   r1   r    s    zTestYeojohnson.test_emptyc                 C   sD   t jjdddd}t |\}}t t|\}}t||dd d S )Nr   r   r3  r4  r  r>   )r   r   r-   ry  r9  r   )rL   rX   Zxt1r  Zxt2r0   r0   r1   r;    s    zTestYeojohnson.test_array_liker   c                 C   sN   t jd|d}d}tjt|d t| W d    n1 s@0    Y  d S )Nr5   r   z>Yeo-Johnson transformation is not defined for complex numbers.r  )r*   rW   r  r   rS   r   ry  )rL   r   rX   err_msgr0   r0   r1   test_input_dtype_complex  s    z'TestYeojohnson.test_input_dtype_complexc                 C   sZ   t jd|d}t jdt jd}t|\}}t|\}}t||dd t||dd d S )Nr9   r   r  r>   )r*   rW   float64r   ry  r   )rL   r   Zx_intZx_floatZxt_intZ	lmbda_intZxt_floatZlmbda_floatr0   r0   r1   test_input_dtype_integer  s    z'TestYeojohnson.test_input_dtype_integerc                 C   sN   t g d}t|\}}t|d \}}t||dd t||dd d S )N)(HAG."A    5fAg(@Ag   VAgHzuoAg)\¿+Ar  g(\^@Ag    RAr  g    #Ag\µ=Ag
ףNAr  gp=oHAg    6bAg{csAg)\tmhAg/BAg   '|Ag(\wipAg    ݃hAgQlBAgףp @Ar   r   r>   )r*   r   r   ry  r   r   )rL   rX   Zxt_yeoZlam_yeoZxt_boxZlam_boxr0   r0   r1   test_input_high_variance  s
    z'TestYeojohnson.test_input_high_varianceN)r]   r^   r_   rD  r  r,  r-  rF  r  r;  r*   Z	complex64Z
complex128r  Zint8uint8int16int32r  r  r0   r0   r0   r1   rx  ]  s   /
$

rx  c                   @   s$   e Zd Zdd Zdd Zdd ZdS )TestYeojohnsonNormmaxc                 C   s   t ddddd | _d S rc  r  rT   r0   r0   r1   r    s    z"TestYeojohnsonNormmax.setup_methodc                 C   s   t | j}t|ddd d S )Ng?r   r>   )r   yeojohnson_normmaxrX   r   rg  r0   r0   r1   rk    s    zTestYeojohnsonNormmax.test_mlec                 C   s*   g d}t |}tj|ddds&J d S )N)gffffff@g r   r  ffffff?g333333@r  gffffff@g?g@r  r  g"@r  g      gzG?r   r   )r   r  r*   Zallclose)rL   rX   r6  r0   r0   r1   test_darwin_example  s    
z)TestYeojohnsonNormmax.test_darwin_exampleN)r]   r^   r_   r  rk  r  r0   r0   r0   r1   r    s   r  c                   @   sB  e Zd Zejdejdfejdfej	dfgdd Z
dd Zejd	ejejfejejfej	ejfgd
d Zdd Zdd Zdd Zejdejdfejdfej	dfgdd Zejdejejej	gdd Zejdejejej	gdd Zejdejejdddfejejdddfej	ejdddfgd d! Zejdejd"eg d#ed$d%gdfejd&eg d'ejd( d)  edd*gdfej	d+eg d,ed-d.gdfgd/d0 Zejdejdfejdfej	dfgd1d2 Zejdejejej	gd3d4 Zejdejejej	gd5d6 Zejd7d8d9d)d:d;d<ejged8d9d)d:d;d<ejgd=d>d?d@ejdAdBgggejdejejej	gdCdD Zejd7d8d9d)d:d;d<ejged8d9d)d:d;d<ejgd=d>d?d@ejdAdBgggejdejejej	gdEdF Z dGdH Z!dIdJ Z"dKdL Z#dMS )NTestCircFuncsztest_func,expectedgA:wv?g @pz?gE|2@c                 C   s(   t g d}t||dd|dd d S Nc  rr   r   r  r   ^  h  ri  r  r>   r*   r   r   rL   	test_funcr  rX   r0   r0   r1   test_circfuncs  s    zTestCircFuncs.test_circfuncsc                 C   s   t g d}| }tj|dd}t||dd |t j d  }|d }tj|dd}t||dd |	 }tj
|dd}t||dd d S )	N)rb  r  rZ  rW     g     4@g3333333@r  r  r   r>   r  r  r  )r*   r   rN   r   circmeanr   pirO   circvarrP   circstd)rL   rX   M1M2V1V2S1S2r0   r0   r1   test_circfuncs_small  s    z"TestCircFuncs.test_circfuncs_smallztest_func, numpy_funcc                 C   s<   t dgd dgd  }||}||}t||dd d S )Ng˛ɦv9?r   guv9?r   g:0yU>r   r  )rL   r  Z
numpy_funcrX   Zcircstatr  r0   r0   r1   test_circfuncs_close	  s    z"TestCircFuncs.test_circfuncs_closec                    s   t g dg dg dg tj dd}tj  dd}t||dd tj ddd	} fd
dt jd D }t||dd tj ddd	} fddt jd D }t||dd d S )Nr  _  r8   rq   `  r6   ]  ie  r6   r9   if  rq   id  r  r  r=   r>   r   ri  rS  c                    s   g | ]}t j | d dqS r  r  r   r  rk   r[   rX   r0   r1   rl   !	  rm   z4TestCircFuncs.test_circmean_axis.<locals>.<listcomp>r   c                    s&   g | ]}t j d d |f ddqS Nr  r  r  r  r  r0   r1   rl   %	  rm   )r*   r   r   r  ravelr   r  r  )rL   r  r  r0   r  r1   test_circmean_axis	  s    
z TestCircFuncs.test_circmean_axisc                    s   t g dg dg dg tj dd}tj  dd}t||dd tj ddd	} fd
dt jd D }t||dd tj ddd	} fddt jd D }t||dd d S )Nr  r  r  r  r  dy=r>   r   r  c                    s   g | ]}t j | d dqS r  r   r  r  r  r0   r1   rl   2	  rm   z3TestCircFuncs.test_circvar_axis.<locals>.<listcomp>r   c                    s&   g | ]}t j d d |f ddqS r  r  r  r  r0   r1   rl   6	  rm   )r*   r   r   r  r  r   r  r  )rL   r  r  r0   r  r1   test_circvar_axis(	  s    
zTestCircFuncs.test_circvar_axisc                    s   t g dg dg dg tj dd}tj  dd}t||dd tj ddd	} fd
dt jd D }t||dd tj ddd	} fddt jd D }t||dd d S )Nr  r  r  r  r  r  r>   r   r  c                    s   g | ]}t j | d dqS r  r   r  r  r  r0   r1   rl   C	  rm   z3TestCircFuncs.test_circstd_axis.<locals>.<listcomp>r   c                    s&   g | ]}t j d d |f ddqS r  r  r  r  r0   r1   rl   G	  rm   )r*   r   r   r  r  r   r  r  )rL   r  r  r0   r  r1   test_circstd_axis9	  s    
zTestCircFuncs.test_circstd_axisc                 C   s"   g d}t ||dd|dd d S r  )r   r  r0   r0   r1   test_circfuncs_array_likeJ	  s    z'TestCircFuncs.test_circfuncs_array_liker  c                 C   s   t t|g  d S r)   )r   r*   r>  )rL   r  r0   r0   r1   r  R	  s    zTestCircFuncs.test_emptyc                 C   s.   ddddddt jg}tt ||dd d S )	Nr  rr   r   r  r   r  r  r  r*   r   r   r>  rL   r  rX   r0   r0   r1   test_nan_propagateW	  s    z TestCircFuncs.test_nan_propagateg5:v@gfPb?r  gee?gOQOv?g#q@gauy+@c                 C   s   t g dddddddt jgdt jt jt jt jt jt jgg}| D ]Z}||d	|d
}|d u rptt | qFt|d || dd tt |dd    qFd S )N)r  rr   r   r  r   r  r   r  r8   rq   r  r6   r  r   r  r  r   r  r>   )r*   r   r   keysr   r>  r   r   rL   r  r  rX   rS  outr0   r0   r1   test_nan_propagate_array]	  s    

z&TestCircFuncs.test_nan_propagate_arraygrQvv@)g     v@r  r  g     8v@r  g     u@g5@v?g2>Bjv@gG2?)gaF+?z?r  gA ~@碲?r  r  r   gX҄?gJPm$@)gj  @竃 ?r  g)h;@{ ?r  gun2@g+fa @c                 C   s   t ddddddt jgddd	d
ddt jgt jt jt jt jt jt jt jgg}| D ]\}||dd|d}|d u rt||| dd qTt|d d || dd tt |d  qTd S )Nr  rr   r   r  r   r  r  r8   rq   r  r6   r  r  omit)ri  
nan_policyrS  r  r>   r   )r*   r   r   r  r   r   r>  r  r0   r0   r1   test_nan_omit_arrayr	  s    z!TestCircFuncs.test_nan_omit_arrayc                 C   s0   ddddddt jg}t||ddd	|d
d d S )Nr  rr   r   r  r   r  r  r  ri  r  r  r>   )r*   r   r   r  r0   r0   r1   test_nan_omit	  s    zTestCircFuncs.test_nan_omitc                 C   s2   t jt jt jt jt jg}tt ||dd d S )Nr  r  r  r  r0   r0   r1   test_nan_omit_all	  s    zTestCircFuncs.test_nan_omit_allc                 C   sj   t t jt jt jt jt jgt jt jt jt jt jgg}||ddd}tt |  tt|dk d S )Nr  r   )r  rS  r   )r*   r   r   r   r>  r   r   )rL   r  rX   r  r0   r0   r1   test_nan_omit_all_axis	  s    z$TestCircFuncs.test_nan_omit_all_axisrX   r  rr   r  r   r  r  r8   rq   r  r6   r  c                 C   s   t t||ddd d S )Nr  raiser  rR   rS   r  r0   r0   r1   test_nan_raise	  s    zTestCircFuncs.test_nan_raisec                 C   s   t t||ddd d S )Nr  foobarr  r  r  r0   r0   r1   test_bad_nan_policy	  s    z!TestCircFuncs.test_bad_nan_policyc                 C   s$   d}|}t |}t||dd d S )Nr   r   r>   )r   r  r   )rL   rX   r  r  r0   r0   r1   test_circmean_scalar	  s    
z"TestCircFuncs.test_circmean_scalarc                 C   s@   t tdddtjtj }t|tjk  t|tj k d S )Nr   r   r#  )r   r  r*   rW   r  r   r*  r0   r0   r1   test_circmean_range	  s    z!TestCircFuncs.test_circmean_rangec                 C   sZ   t jddgdd}ttj|ddd ttj|dddd	d
 ttj|dddd	d
 d S )N   r   r  r   r  r  g     @e@gLwqA?r  r>   g)#p_4@)r*   r   r	   r   r  r   r  r  r   r0   r0   r1   test_circfuncs_uint8	  s    z"TestCircFuncs.test_circfuncs_uint8N)$r]   r^   r_   r  r,  r-  r   r  r  r  r  r  r*   rN   rO   rP   r  r  r  r  r  r  r  r   r  r   r  r  r  r  r  r  r  r  r  r  r0   r0   r0   r1   r    s   







	




r  c                   @   s~   e Zd Zdd Zdd Zdd Zdd Zd	d
 Zdd Zdd Z	dd Z
dd Zdd Zdd Zejdddgdd ZdS )TestMedianTestc                 C   s   t ttjg d d S r5  rR   rS   r   median_testrT   r0   r0   r1   test_bad_n_samples	  s    z!TestMedianTest.test_bad_n_samplesc                 C   s   t ttjg g d d S r5  r  rT   r0   r0   r1   r  	  s    z TestMedianTest.test_empty_samplec                 C   s&   t ttjg dg dddgdd d S )N)r   r   r   r   )r   r   r   r   r   r   Ztiesr  rT   r0   r0   r1   test_empty_when_ties_ignored	  s    z+TestMedianTest.test_empty_when_ties_ignoredc                 C   s8   t ttjg dg d t ttjg dg ddd d S )N)r   r   r   abover  r  rT   r0   r0   r1   test_empty_contingency_row	  s    z)TestMedianTest.test_empty_contingency_rowc                 C   s    t ttjg dddgdd d S )Nrn   rq   rr   r  r  r  rT   r0   r0   r1   test_bad_ties	  s    zTestMedianTest.test_bad_tiesc                 C   s    t ttjg dddgdd d S )Nrn   rq   rr   r  r  r  rT   r0   r0   r1   r  	  s    z"TestMedianTest.test_bad_nan_policyc                 C   s    t ttjg dddgdd d S )Nrn   rq   rr   r  )r  )rR   r$  r   r  rT   r0   r0   r1   r%  	  s    zTestMedianTest.test_bad_keywordc                 C   s\   g d}g d}t ||\}}}}t|d t|ddgddgg t|d t|d d S )Nrn   r  r   r   r   )r   r  r	   r   )rL   rX   r  r  rC  Zmedtblr0   r0   r1   test_simple	  s    

zTestMedianTest.test_simplec                 C   s   g d}ddg}g d}t |||\}}}}t|d t|g dg dg t j|||dd\}}}}t|d t|g dg d	g t j|||d
d\}}}}t|d t|g dg d	g d S )Nr  rr   r5   )r8   r9   r6   )r   r   ro   )rq   r   r   r   r  )rq   r   r   r  )r   r   ro   )r   r  r	   )rL   rX   r  zr  rC  r  r  r0   r0   r1   test_ties_options	
  s    


z TestMedianTest.test_ties_optionsc                 C   s   ddt jg}g d}tj||dd}tj||dd\}}}}t|t jt jt jd f t|d t|d t|d	 t|t d
dgddgg tttj||dd d S )Nr   r   )rq   rr   r5   	propagater  r  g     ?gإvao?r  r   r  )	r*   r   r   r  r	   r   r   rR   rS   )rL   rX   r  Zmt1r   rC  r  r  r0   r0   r1   test_nan_policy_options
  s    


z&TestMedianTest.test_nan_policy_optionsc                 C   s2  g d}g d}t ||\}}}}t|d t|ddgddgg t |\}}}	}
t|| t|| t j||dd\}}}}t|d t|ddgddgg t j|dd\}}}	}
t|| t|| t j||dd	\}}}}t|d t|ddgddgg t j|dd	\}}}	}
t|| t|| d S )
Nrp   )r   rq   r5   r9   rq   r   r   r   )Zlambda_Fr  )r   r  r	   Zchi2_contingencyr   )rL   rX   r  r  rC  r  r  Zexp_statZexp_pZdofer0   r0   r1   rQ   *
  s(    







zTestMedianTest.test_basicr  FTc                 C   s>   g d}g d}t j|||d}t|j|j|j|jf| d S )Nrn   r  )r   r  r	   rI   r   r   table)rL   r  rX   r  rZ   r0   r0   r1   r  I
  s    zTestMedianTest.test_resultN)r]   r^   r_   r  r  r  r  r  r  r%  r  r  r  rQ   r  r,  r-  r  r0   r0   r0   r1   r  	  s   r  c                   @   sz   e Zd Zdd Zejdej d ejd gdfddej gdfgdd	 Z	d
d Z
dd Zdd Zdd Zdd ZdS )TestDirectionalStatsc                 C   s   t t g d }t t g d }t jt |t | t |t | t |fdd}t|}|j}t 	|d}t g d}t
|| d S )N)	g33333su@g      O@g33333sB@g      ;@g     pv@g@g333333I@gYv@r4  )	gfffffP@g,Q@gfffffQ@gfffffT@g     S@g     @R@g33333SQ@gffffffM@g33333I@r   rR  rq   )gHP?g&S:g[<)r*   Zdeg2radr   stackcossinr   directional_statsmean_directionrq  r   )rL   declZinclrM   dirstatsdirectional_meanZmean_roundedZreference_meanr0   r0   r1   "test_directional_stats_correctnessT
  s    
z7TestDirectionalStats.test_directional_stats_correctnesszangles, refr   r   r   r   c                 C   sL   t |r||}tjt|t|gdd}dt|j }t|| d S )Nr   rR  )	callabler*   r  r  r  r   r  mean_resultant_lengthr   )rL   Zanglesr   rM   rZ   r0   r0   r1   'test_directional_stats_2d_special_casesh
  s
    z<TestDirectionalStats.test_directional_stats_2d_special_casesc           
      C   s   t jd}dt j |d }t jt |t |fdd}t|}|j	}t 
|d |d }|dt j  }t|}t|| d|j }t|}	t||	 d S )Nl	   }7Qh0P4u&4M r   )r!  r   rR  r   )r*   r#  r$  r  r  r  r  r   r  r  Zarctan2r  r   r  r  )
rL   r'  ZtestdataZtestdata_vectorr  r  Zdirectional_mean_angler  Zdirectional_varZcircular_varr0   r0   r1   test_directional_stats_2ds
  s$    





z.TestDirectionalStats.test_directional_stats_2dc                 C   sf   t g dg dg}t |d}t g dg dgg dg dgg}tj|dd}t||j d S )N+Pz?r  r   )r        r   )r   r   r   r   )r   r   r   r   rR  )r*   r   Ztiler   r  r   r  )rL   rM   Z
full_arrayr  r  r0   r0   r1    test_directional_mean_higher_dim
  s    

z5TestDirectionalStats.test_directional_mean_higher_dimc                 C   sN   g dg dg}t |}t|}t|}t|j|j t|j|j d S )Nr  )r  r  r   )r*   r  r   r  r   r  r  )rL   rM   Z
data_arrayrZ   r   r0   r0   r1   )test_directional_stats_list_ndarray_input
  s    


z>TestDirectionalStats.test_directional_stats_list_ndarray_inputc                 C   sP   t d}d}tjtt|d t| W d    n1 sB0    Y  d S )N)rr   zIsamples must at least be two-dimensional. Instead samples has shape: (5,)r  )	r*   r   r  r   rS   reescaper   r  )rL   rM   r  r0   r0   r1   test_directional_stats_1d_error
  s    
z4TestDirectionalStats.test_directional_stats_1d_errorc                 C   sh   t g dg dg}tj|dd}|t jj|ddd }tj|dd}t|j|j t|j|j d S )Nr  )g+Pz?g      r   T)	normalizer   )rS  ZkeepdimsF)	r*   r   r   r  r  r   r   r  r  )rL   rM   rZ   Znormalized_datar   r0   r0   r1    test_directional_stats_normalize
  s    
z5TestDirectionalStats.test_directional_stats_normalizeN)r]   r^   r_   r  r  r,  r-  r*   r  r  r  r  r  r   r  r0   r0   r0   r1   r  R
  s   

r  c                   @   sp   e Zd Zdd Zdd Zejdg ddfg dd	fgd
d Zdd Z	ejdg ddd Z
dd ZdS )TestFDRControlc                 C   s  d}t jt|d tg d W d    n1 s60    Y  t jt|d tg d W d    n1 sr0    Y  t jt|d" tddtjg W d    n1 s0    Y  d}t jt|d" tjg dd	d
 W d    n1 s0    Y  d}t jt|d" tjg ddd W d    n1 s<0    Y  t jt|d" tjg ddd W d    n1 s~0    Y  d S )Nz.`ps` must include only numbers between 0 and 1r  )r   r  r  )r  r  r   r  r  zUnrecognized `method` 'YAK')r  r  ra   ZYAKr|  z#`axis` must be an integer or `None`r  rR  r]  )r  r   rS   r   false_discovery_controlr*   r   )rL   r  r0   r0   r1   test_input_validation
  s    ,,002z$TestFDRControl.test_input_validationc                 C   s,   g d}t |}g d}t||dd d S )N)r  g;On?g~jt?gI+?g&1?gB`"۹?gv?S㥛?);On?r  I+?r  gˡE?gHzG?r  r  r   r   )r   r  r   )rL   psrZ   r   r0   r0   r1   test_against_TileStats
  s    
z%TestFDRControl.test_against_TileStatscase)
go?gQ]
Y?ghD@?u?D?gn@t?g=T	[ے?g=!s?r  r  g	L?Zbh)
glߢ?gq?g.0?R]D?g)<Gh?g$͂?g2-p?r  r  g]:?Zbyc                 C   sT   |\}}t jd}tjjddd|d}|d |d< tj||d}t||d	d
 d S )N   <U) r   r  r   r"  r8   ro   r|  r   r   )r*   r#  r$  r   
loguniformr-   r  r   )rL   r  r   rs  r'  r	  rZ   r0   r0   r1   test_against_R
  s    zTestFDRControl.test_against_Rc                 C   sJ   t jd}tjjddd|d}tj|d d}t| }t|| d S Nr  r   r  )ro   rq   rr   r"  rR  )	r*   r#  r$  r   r  r-   r  r  r	   )rL   r'  r	  rZ   r   r0   r0   r1   test_axis_None
  s
    zTestFDRControl.test_axis_NonerS  )r   r   r   c                 C   sL   t jd}tjjddd|d}tj||d}t tj||}t|| d S r  )	r*   r#  r$  r   r  r-   r  Zapply_along_axisr	   )rL   rS  r'  r	  rZ   r   r0   r0   r1   	test_axis
  s
    zTestFDRControl.test_axisc                 C   s8   t tdgdg t tdd t tg g  d S )Nr  )r   r   r  rT   r0   r0   r1   rQ  
  s    zTestFDRControl.test_edge_casesN)r]   r^   r_   r  r
  r  r,  r-  r  r  r  rQ  r0   r0   r0   r1   r  
  s    

r  )Urs   rA  numpyr*   Znumpy.randomr   Znumpy.testingr   r   r   r   r   r   r	   r
   r  r   rR   r  Zscipyr   r   Zscipy.stats._morestatsr   r   r   Zcommon_testsr   Z
_hypotestsr   r   Zscipy.stats._binomtestr   Zscipy.stats._distr_paramsr   dictZ
matplotlibZrcParamsZmatplotlib.pyplotZpyplotr  r  	Exceptionr  r  r  r  r  r  r  r  r  r  r2   r3   r`   rx   r   r.  r  r  r  r)  rI  r  r  r  r  r  r  r  r  r'  r2  rL  rA  rb  rt  rv  rx  r  r  r  r  r  r0   r0   r0   r1   <module>   s   (

!{  I E= WG .^ U6%(3uH# e d