o
    '&i                    @   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$j%d< d dl&m'Z( dZ)W n e*y   dZ)Y nw g dZ+g dZ,g dZ-g dZ.g dZ/g dZ0g dZ1g dZ2g dZ3g dZ4dd Z5G dd dZ6G d d! d!Z7G d"d# d#Z8G d$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   KC:\wamp64\www\opt\env\Lib\site-packages\scipy/stats/tests/test_morestats.py_old_loggamma_rvs6      r2   c                   @   $   e Zd Zdd Zdd Zdd ZdS )TestBayes_mvsc                 C   st   g d}t |\}}}t|jd t|jddd t|jd t|jddd t|jd	d
d t|jddd d S )N   	            r;            "@g4`H#j@gO[%@+=rtol      $@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      t ttjg  d S r)   )assert_raises
ValueErrorr   rJ   rN   r0   r0   r1   test_empty_inputM      zTestBayes_mvs.test_empty_inputc                 C   s0   t d}d}t|}|D ]}t|| qd S )N   )rK   rL   )r*   aranger   rJ   r   )rN   x
attributesresir0   r0   r1   test_result_attributesP   s   

z$TestBayes_mvs.test_result_attributesN)__name__
__module____qualname__rS   rX   r`   r0   r0   r0   r1   r5   :   s    r5   c                   @   ,   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 )Nr6   r=   ?r>   r?   r@   rB   rC   rD   rE   rF   rG   rI   )r   mvsdistr   rP   r   intervalrM   r0   r0   r1   rS   Z   s   
zTestMvsdist.test_basicc                 C   rT   r)   rU   rV   r   rg   rW   r0   r0   r1   rX   i   rY   zTestMvsdist.test_empty_inputc                 C      dg}t ttj| d S Nr   ri   rN   rO   r0   r0   r1   test_bad_argl      zTestMvsdist.test_bad_argc                 C   sj   t  ' t dt dd tg dD  dd tg dD  W d    d S 1 s.w   Y  d S )Nerrorc                 S      g | ]}|  qS r0   rP   .0r\   r0   r0   r1   
<listcomp>v       z*TestMvsdist.test_warns.<locals>.<listcomp>r   r      c                 S   rp   r0   rq   rr   r0   r0   r1   rt   w   ru   r   r   rw         )warningscatch_warningssimplefilterRuntimeWarningr   rg   rW   r0   r0   r1   
test_warnsq   s
   
"zTestMvsdist.test_warnsN)ra   rb   rc   rS   rX   rm   r   r0   r0   r0   r1   re   Y   s
    re   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@   ?r7   rG      Ɍ?)(\?=
ףp=?\(\@ffffff@\(\?(\?Gz@(\ףp=
@皙?)\(?RQr   p=
ף?@
ףp=
?{Gz?\(\@{Gz@Q@IddY?Dio?rw   rz   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?ry   )r   shapiror   rK   pvaluenormr-   )
rN   x1wpwshapiro_testx2Zx3Zx4Z
W_expectedZ
p_expectedr0   r0   r1   rS   {   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)
r   r   r   r   r   r   r   r   r   r   )
r   r   r   r   r   r   r   r   r   r   r   r7   rG   r   )
r   r   r   r   r   r   r   r   r   r   )
r   r   r   r   r   r   r   r   r   r   r   r   rw   )r   r   r   rK   r   )rN   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)   rU   rV   r   r   rW   r0   r0   r1   rX         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)rU   rV   r   r   r*   arrayobjectrW   r0   r0   r1   test_not_enough_values   s   "z"TestShapiro.test_not_enough_valuesc                 C   rj   rk   r   rN   r\   r0   r0   r1   rm      rn   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 )NrB   r8   r   )	r*   r[   nanr   r   r	   rK   r   r   )rN   r\   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   )rN   Z	trans_valmaxlogr^   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   rK   )rN   r^   r\   r0   r0   r1   test_length_3_gh18322   s   
z!TestShapiro.test_length_3_gh18322N)ra   rb   rc   rS   r   rX   r   rm   r   r   r   r0   r0   r0   r1   r   z   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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   )rN   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 s<w   Y  t||d k d S )	Nr   r   r   exponr   ignore)allr   )	r   r   r   r   r   r   r*   errstater   )rN   r   r   r   r   r   r   r0   r0   r1   
test_expon  s   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logsfr[   rP   r   )rN   r   Za2r   r   nxbarsr   r   r_   Zexpected_a2r0   r0   r1   test_gumbel  s   
*zTestAnderson.test_gumbelc                 C      t ttjdgdd d S Nr   plate_of_shrimpdist)rU   rV   r   r   rW   r0   r0   r1   rm   '  r3   zTestAnderson.test_bad_argc                 C   s0   t d}|jdd}t|}d}t|| d S )Nr   r   r   rK   critical_valuessignificance_level)r   r   r   r   r   )rN   r   r\   r^   r]   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   )	rN   r   r\   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   )
rN   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 s0J d	| }t|d
dd t	d }t	d }||d d ||   }	t 
|j|	ksYJ 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   rK   r   r   r   )
rN   r\   r^   mr   r   cZAs40ZAs45ZAs_refr0   r0   r1   test_weibull_min_case_AJ  s   z$TestAnderson.test_weibull_min_case_Ac                 C   sR   t g d}d}tjt|d t|d W d    d S 1 s"w   Y  d S )N)J   9   0        r9   F      r    ;            iF  z/Maximum likelihood estimation has converged to matchr  )r*   r   pytestr   rV   r   r   )rN   r\   messager0   r0   r1   test_weibull_min_case_B]  s
   "z$TestAnderson.test_weibull_min_case_Bc              	   C   s   t g d }d}d}tjt|d}tjt|d}|) | t|d W d    n1 s0w   Y  W d    d S W d    d S 1 sHw   Y  d S )N)	r   K   r     k   r9   =   +   r  z:Critical values of the test statistic are given for the...z;An error occurred while fitting the Weibull distribution...r  r  )	r*   r   r  ZwarnsUserWarningr   rV   r   r   )rN   r\   ZwmessageZemessageZwcontextZecontextr0   r0   r1   test_weibull_warning_errore  s   Pz'TestAnderson.test_weibull_warning_errordistname)r   r   r   extreme1r   r   Zlogisticr  c                 C   s\   t jd}|dv rdn|}tt|}t| }|j|d|d}t||}|jj	s,J d S )Nl   'Dah$>   r   r*  r     r   r   )
r*   randomdefault_rnggetattrr   r   r-   r   r  success)rN   r)  rngZreal_distnamer   r  r\   r^   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rN   r  r0   r0   r1   test_anderson_weibull_As~  s   z%TestAnderson.test_anderson_weibull_AsN)ra   rb   rc   r   r   r   rm   r`   r   r   r  r!  r(  r  markparametrizer2  r5  r0   r0   r0   r1   r      s     


r   c                   @   T   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@r>        F@g     F@r=  ffffffA@rA  g33333A@gB@gfffffB@gD@gffffffE@FZmidrankg@rw   gCl?gvq-?g,Ԛ?gl@gPk	@r   rz   ry   gJ4a?Mb0?r
  r*   r   r   anderson_ksampr   r   r   rN   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:  r;  r<  r@  TrB  gQ@rw   rC  r   rz   ry   r  rD  r
  rE  rG  r0   r0   r1   test_example1b  s   z TestAndersonKSamp.test_example1bc                 C      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   rZ   )   r  !      i  rF   :   %   r   A   r8      i     $      v   
"         rc  C   r  >   r:      ra  Z   r   <      r%  1   rF      8      O   T   ,   r  r  r_        i6  L   r  rq     re        r  e   rx  r  r  r  r  r  r9   r  r  r  r  r  r  7   i@  rm  h         /            rU  ru  i  W   r:   x   rF   re  r  r   G   r  r  *   rn  rz   r9   r     rw   rF   r  r  rF   r     rh  r   r  4   _   a   3   r  ry      rc     D   M   P   r   r  j      R   6   rb     .   o   '   ?   rc     rc     rl  r   rq  f   H   rf  r  rw   rZ         ro  X   r  rz   rz   r]  rf        r     ru  r<   rF   	g  r8   r9   i  i[  rw   r}  r   i  r      rz   i  #   r9   i  rc  r   r:   b   rz   U   [   r&     rw   rw  r     rF   r  r      rd  r        r  rF   r  B   r%  ra  FrB  gM
@rw   g^I+?g~:?g+e?gH.!@gcZB>h@r   rz   ry   	^)p?rD  r
  r   rF  r   r   r   rN   rH  rI  rJ  rK  Zt5Zt6Zt7Zt8Zt9Zt10Zt11Zt12Zt13Zt14rL  rM  rN  r0   r0   r1   test_example2a  s0   z TestAndersonKSamp.test_example2ac                 C   rQ  )NrR  rW  r`  rg  rv  rz  r{  r  r  r  r  r  r  r  TrB  g'1Z
@rw   r  r   rz   ry   r  rD  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 s*w   Y  t|dd	 t|d
 t }|jtdd t||d g\}}}W d    n1 s[w   Y  t|dd	 t|d
 t }|jtdd tj||d gdd\}}}W d    n1 sw   Y  t|dd t|d t }|jtdd t||d g\}}}W d    n1 sw   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@FrB  g=
ףpD@rw   r  gGzD@zp-value capped      ?g?ܵry         ?g?ܵ      @g!u?gףp=
׳?{Gzt?r   r  rA   r7   gBiq?g鷯?      '@g:M@g46<Rv?gMb@?g      +@g6>W[1@g1ZGUS?-C6?)
r*   linspacer
   filterr'  r   rF  r   r	   r   )rN   r   supr   _rN  r0   r0   r1   test_R_kSamples  sJ   !



z!TestAndersonKSamp.test_R_kSamplesc                 C   s   t ttjtd d S Nrz   rU   rV   r   rF  r*   r   rW   r0   r0   r1   test_not_enough_samples7  r3   z)TestAndersonKSamp.test_not_enough_samplesc                 C   s"   t ttjtdtdf d S r  r  rW   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  rW   r0   r0   r1   test_empty_sample>     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:  r;  FrB  r   )r*   r   r   rF  r   r	   r   r   )rN   rH  rI  r^   r]   r0   r0   r1   r`   A  s   
z(TestAndersonKSamp.test_result_attributesN)ra   rb   rc   rO  rP  r  r  r  r  r  r  r`   r0   r0   r0   r1   r9    s      Pr9  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 s$w   Y  t|dd t|dd d S )Nr   r   rw   rw   ry   rw   r   r7   r   r7   r   ry   r   %Ties preclude use of exact statistic.g     7@r  g8#oG?)r
   r  r'  r   ansarir   )rN   r\   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 s&w   Y  t|dd t|dd d S )Nr  r$  r   c   r  r  m   l   r}  r  ry  `   r  r  r$  q   t   r  n   r  r$  r  r  r  i   g   r  r  r}  r   r  r  r  r}  r   r  r  r  r  r  r  g     0g@r  g|:?)r*   r   r
   r  r'  r   r  r   )rN   ZramsayZparekhr  r  r  r0   r0   r1   test_approxX  s   

zTestAnsari.test_approxc                 C   s4   t g dg d\}}t|dd t|dd d S )Nr   r   rw   ry   )rZ   rz   rn  r;   r   r9   rB   r  g?r:   )r   r  r   )rN   r  r  r0   r0   r1   
test_exactf  s   zTestAnsari.test_exactc                 C   s(   t ttjg dg t ttjdgg  d S rk   rU   rV   r   r  rW   r0   r0   r1   rm   k  s   zTestAnsari.test_bad_argc                 C   s`   g d}g d}t  }|td t||}W d    n1 s"w   Y  d}t|| d S )Nr  r  r  rK   r   )r
   r  r'  r   r  r   )rN   r\   r  r  r^   r]   r0   r0   r1   r`   o  s   z!TestAnsari.test_result_attributesc                 C   sV   g d}g d}d}t t|d tj||dd W d    d S 1 s$w   Y  d S )Nr  rz   r7   r:   r;   z!'alternative' must be 'two-sided'r  fooalternativer  )rN   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s(J |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 srJ |	dksxJ d S )N)r   rz   r   rZ   rn  rr  )r  g      !@      #@g      %@r  g      )@lessr  greaterffffff?皙?r   -q=r
  r   )r   r  r   r   pmfr   r   )
rN   r   r   rK   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  rv   )ry   rz   r7   r:   r;   gG$I?g%I$I?rx   )r7   r:   r;   c                 C   s$   t j|||dj}t||dd d S )Nr  r  r
  )r   r  r   r   )rN   r\   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   rz   r   {   r,  r   r  r  r  r   r  r
  r   ri        ?r   )r   r   r-   r  r   r   )rN   r   r   r  r  r  r0   r0   r1   test_alternative_approx  s   z"TestAnsari.test_alternative_approxN)ra   rb   rc   r  r  r  rm   r`   r  r  r  r6  r7  r  r   r0   r0   r0   r1   r  M  s(    		
r  c                   @   4   e Zd Zdd Zdd Zdd Zdd Zd	d
 ZdS )TestBartlettc              
   C   B   t ttttttttt	g
}t
j| \}}t|dd t|dd d S )NgzU@ /4@r:   gG?)g1g2g3g4g5g6g7g8g9g10r   bartlettr   )rN   r.   Tr  r0   r0   r1   	test_data     zTestBartlett.test_datac                 C      t ttjdg d S rk   )rU   rV   r   r  rW   r0   r0   r1   rm        zTestBartlett.test_bad_argc              
   C   4   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   rN   r.   r^   r]   r0   r0   r1   r`        
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  )rN   r.   r0   r0   r1   test_empty_arg  s   zTestBartlett.test_empty_argc                 C   *   t ddgddgg}tttjt| d S Nr   r   rw   ry   )r*   r   rU   rV   r   r  r  r   r0   r0   r1   test_1d_input     zTestBartlett.test_1d_inputN)ra   rb   rc   r  rm   r`   r  r  r0   r0   r0   r1   r    s    r  c                   @   r8  )
TestLevenec              
   C   r  )NgYpK?r:   gI{]?)r  r  r  r  r  r	  r
  r  r  r  r   levener   )rN   r.   r  r  r0   r0   r1   r    r  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 )NrP   centertrimmedr   r   Zproportiontocut)r   r  r  r  r  r   )rN   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   rP   r  )r*   r-  seedpermutationr   r  r   )
rN   r\   r  r   ZW0Zpval0r#  r$  r%  r&  r0   r0   r1   test_trimmed2  s   



$

zTestLevene.test_trimmed2c                 C   sn   t ddd}t jd t j|}|d }tj||dd\}}tj||dd\}}t|| t|| d S )	Nr   r   r  r1  rw   rP   r  median)r*   r  r-  r3  r4  r   r  r   )rN   r\   r   r  r#  r$  r%  r&  r0   r0   r1   test_equal_mean_median  s   
z!TestLevene.test_equal_mean_medianc                 C   &   t ddd}tttj||dd d S Nr   r   r  皙?)Zportiontocut)r*   r  rU   	TypeErrorr   r  r   r0   r0   r1   test_bad_keyword  r   zTestLevene.test_bad_keywordc                 C   r8  Nr   r   r  Ztrimr  )r*   r  rU   rV   r   r  r   r0   r0   r1   test_bad_center_value  r   z TestLevene.test_bad_center_valuec                 C   r  rk   )rU   rV   r   r  rW   r0   r0   r1   test_too_few_args#  s   zTestLevene.test_too_few_argsc              
   C   r  r  )r  r  r  r  r  r	  r
  r  r  r  r   r  r   r  r0   r0   r1   r`   &  r  z!TestLevene.test_result_attributesc                 C   r  r  )r*   r   rU   rV   r   r  r  r   r0   r0   r1   r  -  r  zTestLevene.test_1d_inputN)ra   rb   rc   r  r'  r5  r7  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r| d | d  }| d } n t| dkr8| d } |d u s.|| k r2tdt |}ntdtj| |||d}|jS )Nr   r   r   zn must be >= xzIncorrect length for x.rN  r  )	r*   Z
atleast_1dZastypeint_r   rV   r   	binomtestr   )r\   r   rN  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  r^  i  g`w?i           ?rN  gz?rF  r   )rN   r  r0   r0   r1   r  H  s   zTestBinomTestP.test_datac                 C   s   t t| jg d d S Nrv   rU   rV   rF  rW   r0   r0   r1   test_bad_len_xP     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   rM  rW   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)  rJ  rM  rW   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  rB  g-$Ǻl?r  gs0,j.?rA  gJfJ"f?rK  rN   r^   r0   r0   r1   test_alternatives_  s   

z TestBinomTestP.test_alternativesl        z32-bit does not overflowreasonc                 C   s   t t| jddtjjd d S )Nr,  r7   rJ  )rU   OverflowErrorrF  sys
float_infominrW   r0   r0   r1   test_boost_overflow_raisesi  s   z)TestBinomTestP.test_boost_overflow_raises)Nr  rA  )ra   rb   rc   __doc__staticmethodrF  r  rN  rQ  rR  rU  r  r6  skipifrY  maxsizer\  r0   r0   r0   r1   r@  2  s    
r@  c                   @   s  e Zd ZdZdd Zdd Zdd Zdd	 Zej	
d
g ddd Zej	
d
g ddd Zej	
dg ddd Zej	
dg ddd Zej	
dg dg dg dg dg dg dg d g d!g d"g d#g d$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?rD   r   rD  r   r   rN   rA   r^   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 )Nrb  r8   r  rc  r   rN  gX-h?r@   ry   g㤶y?r  g	y}?r:   g+,?rw   r   r  g      ?r   r	  g{Gz?g333333?g<,?rd  re  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 )Nrb  i  i  r  r   r@   rw   r  gAL &W?r<   r  g!YB?rZ   rq  gE]t?r:   r7   r  rd  re  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  rw   r   r   axisc                    s   t j|   S r)   r   binomr  r   rg  r0   r1   <lambda>  rY   z>TestBinomTest.test_binary_srch_for_binom_tst.<locals>.<lambda>rD   r@   r:   c                    s   t j|  S r)   rl  rn  rg  r0   r1   ro       )r*   r[   ceilr   rm  r  sumr   intr   floor)rN   kr_   dy1Zixy2r0   rg  r1   test_binary_srch_for_binom_tst  s(    z,TestBinomTest.test_binary_srch_for_binom_tstz"alternative, pval, ci_low, ci_high))r  g$W?r   g?)r  g}?gGI~?r   )rA  g}G?g>?6?g4M?c                 C   X   t jddd|d}t|j|dd t|jd |jdd	}t|j|jf||fdd d S )
Nrn  r   r  r   rN  r  r  r@   皙?r  confidence_level	r   rD  r   r   r	   rK   proportion_cilowhighrN   r  r  ci_lowci_highr^   cir0   r0   r1   test_confidence_intervals1  
   z(TestBinomTest.test_confidence_intervals1))r  ga&+w?r   gny?)r  g5!Rx?g5%?r   )rA  g~th?gSuR&|?g|KnG?c                 C   rz  )
Nrw   r   r|  r{  r   r@   gQ?r%   r}  r  r  r0   r0   r1   test_confidence_intervals2  r  z(TestBinomTest.test_confidence_intervals2zalternative, pval, ci_high))r  gլ?g̓A?)r  r   r   )rA  gEow?g;Kڞj?c                 C   sN   t jddd|d}t|j|dd |jdd}t|jd	 t|j|dd d S )
Nr   r   r  rB  r   r@   r  r}  r   )r   rD  r   r   r  r	   r  r  )rN   r  r  r  r^   r  r0   r0   r1   !test_confidence_interval_exact_k0  
   z/TestBinomTest.test_confidence_interval_exact_k0zalternative, pval, ci_low))r  r   r   )r  6>g@>}_?)rA  r  gcڒ ?c                 C   sN   t jddd|d}t|j|dd |jdd}t|jd t|j|dd d S )	Nr   r  rB  r   r@   r  r}  r   )r   rD  r   r   r  r	   r  r  )rN   r  r  r  r^   r  r0   r0   r1   %test_confidence_interval_exact_k_is_n  r  z3TestBinomTest.test_confidence_interval_exact_k_is_nz+k, alternative, corr, conf, ci_low, ci_high)rw   rA  Tr  g`?g?)rw   rA  Tr%   grt!?g/?)rw   rA  Fr  gVK5?g5dM?)rw   rA  Fr%   gXCVu^?g*r[?)rw   r  Tr  r   gP-V?)rw   r  Tr%   r   g^'?)rw   r  Fr  r   gS5a?)rw   r  Fr%   r   g?)rw   r  Tr  g!Շ`ⰸ?r   )rw   r  Tr%   g$x"?r   )rw   r  Fr  gW~=?r   )rw   r  Fr%   g	L?r   )r   rA  Tr  r   gX?)r   rA  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   rA  Tr  g7?r   )r   rA  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:  r{  ZwilsonccZwilson)r~  methodr   r@   )r   rD  r  r   r  r  )
rN   ru  r  Zcorrconfr  r  r^   r  r  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 )Nry   r  r  r   )r   rD  r	   rK   r   rT  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    d S 1 sw   Y  d S )Nz must be an integer not less thanr  r  r   rV   r   rD  )rN   ru  r   r0   r0   r1   test_invalid_k_n+  s
   "zTestBinomTest.test_invalid_k_nc                 C   sB   t jtdd tddd W d    d S 1 sw   Y  d S )Nzk must not be greater than nr  r  r   r  r  rW   r0   r0   r1   test_invalid_k_too_big1  s
   "z$TestBinomTest.test_invalid_k_too_bigc                 C   P   t jdddd}tjtdd |jdd W d    d S 1 s!w   Y  d S )	Nrw   r   r:  rg  zmust be in the intervalr  r   r}  r   rD  r  r   rV   r  rT  r0   r0   r1   test_invalid_confidence_level6     "z+TestBinomTest.test_invalid_confidence_levelc                 C   r  )	Nrw   r   r:  rg  zmethod must ber  zplate of shrimpr  r  rT  r0   r0   r1   test_invalid_ci_method;  r  z$TestBinomTest.test_invalid_ci_methodc                 C   s"   t jdddd}t|j|j d S )Nrw   r   r:  rg  )r   rD  r	   Zproportion_estimaterK   rT  r0   r0   r1   
test_alias@  s   zTestBinomTest.test_aliasN)ra   rb   rc   r]  rf  rh  ri  ry  r  r6  r7  r  r  r  r  r  r  r  r  r  r  r  r0   r0   r0   r1   ra  o  st     


	
	


ra  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 )Nrz   r   )gnf	@gDq?r  )r*   r[   r   r   fligner)rN   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 )Nrb  )r*   asarrayrandnr   tolist)gr   r0   r1   _perturbS      z+TestFligner.test_trimmed1.<locals>._perturbrP   r  r!  r   r"  )	r*   r-  r   r  r  r  r   r  r   )	rN   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!  r2  r"  r   r   rP   r  )r   r  r   )rN   r\   r  r  r$  r  r&  r0   r0   r1   r5  a  s   

$
zTestFligner.test_trimmed2c                 C   r8  r9  )r*   r  rU   r;  r   r  r   r0   r0   r1   r<  {  r   zTestFligner.test_bad_keywordc                 C   r8  r=  )r*   r  rU   rV   r   r  r   r0   r0   r1   r>    r   z!TestFligner.test_bad_center_valuec                 C   r  rk   )rU   rV   r   r  rW   r0   r0   r1   test_bad_num_args  r  zTestFligner.test_bad_num_argsc                 C   s.   t d}tt jt jft||d g  d S )Nrz   r   )r*   r[   r	   r   r   r  r   r0   r0   r1   r    s   
$zTestFligner.test_empty_argN)
ra   rb   rc   r  r'  r5  r<  r>  r  r  r0   r0   r0   r1   r  E  s    r  c                  c   s    g d} g d}t |D ]S\}}tj|}|d}|jdddd}|jdddd}t||D ]\}}	t|d ||	 D ]}
|| ||
< q>q1|| t|d	\}}||d
g| | R V  qd S )N))g]YCgQɣ?)gme5gϵ5?)g;jgH?)iFeiHcMi%:r   r   r  rz   )r  r  r   r   r   r  )		enumerater*   r-  r.  Zintegersziprangeshufflesplit)Zexpected_resultsZseedssir3  r1  ZxyZtie_indZnum_ties_per_indr_   r   jr\   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   )rN   r\   r  r  Zstat_expectZp_expectrK   r   r0   r0   r1   test_against_SAS  s   zTestMood.test_against_SASzalternative, expected))rA  )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  )rN   r  r  r\   r  r^   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 )Nr1  r   r   rZ   )r*   r-  r3  r  r   r  r   )rN   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   )rZ   r   rj  g4g^}E	?)r*   r   shaper   r   r  )rN   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  q"| }| }tj||dd\}}t|D ]}t|| || gt||d d f ||d d f  qVd S )Nrz   r1  r   rZ   r   rj  )	r*   r-  r3  r  r   r  r  r   Z	transpose)rN   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 ]b}t||| d  D ]U}	|dkr^|d d ||	f }
|d d ||	f }n)|dkru||d d |	f }
||d d |	f }n|||	d d f }
|||	d d f }t|||	f |||	f gt|
| qEq9qd S )N)r   rz   r7   r1  rw   rj  r   r   r   )r*   r-  r3  r  r  r   r  r   )rN   r  r   r   rk  r  r  Zaxes_idxr_   r  Zslice1Zslice2r0   r0   r1   test_mood_3d  s2   

zTestMood.test_mood_3dc                 C   s   t ttjdgg  d S rk   )rU   rV   r   r  rW   r0   r0   r1   test_mood_bad_arg0     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sBJ  J t|dd
d t||d  t|d|d   tj	t
dd tj||dd W d    d S 1 stw   Y  d S )Nr   rI  r   )r   r   g      ?rA  r  r  r  Hz>r
  r   r   zalternative must be...r  z	ekki-ekki)r*   r-  r3  r   r   r-   r  r   r  r   rV   )	rN   r\   r  Zstat1r  Zstat2r  Zstat3Zp3r0   r0   r1   test_mood_alternative5  s   "zTestMood.test_mood_alternativer  )rA  r  r  c                 C   sF   t jd}|d}|d}tj|||d}t|j|jf| d S )Nl	   hTt fU6H~ )r   r   )rZ   r   r  )	r*   r-  r.  r   r   r  r	   rK   r   )rN   r  r1  r   r   r^   r0   r0   r1   test_resultG  s
   

zTestMood.test_resultN)ra   rb   rc   r  r6  r7  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 )	Nrn  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)rN   r\   osmosrZosm_expectedr^   Zres_fitZres_fit_expectedr0   r0   r1   rS   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   )
rN   r\   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 )Nrn  r  r,  Ft)rw   )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)rN   qr0   r0   r1   r  |  rp  z7TestProbplot.test_dist_keyword.<locals>.custom_dist.ppfN)ra   rb   rc   r]  r  r0   r0   r0   r1   custom_distz  s    r  )r   r  )r   r   )	r   r   r-   r  r  r   rU   rV   AttributeError)rN   r\   r  r  r  r  r  r0   r0   r1   test_dist_keywordp  s   


zTestProbplot.test_dist_keywordno matplotlibrV  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oXt	|  koXt	|  koXd	kn   t
|| t
|| t
|| t
|| t  }|d}	tj|d|	d t   d S )
Nr  rw   r   t r,  plotF)r   r  r   )pltfigureadd_subplotr   r  r-   r  closer   r   r   )
rN   figr\   Zres1Zfitres1Zres2Zfitres2Zres3Zres4axr0   r0   r1   test_plot_kwarg  s$   
@




zTestProbplot.test_plot_kwargc                 C   r   r   )rU   rV   r   r  rW   r0   r0   r1   test_probplot_bad_args     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   rW   r0   r0   r1   
test_empty  s   zTestProbplot.test_emptyc                 C   sj   t jdd% ttjdgddt dgt dgft jt jdff W d    d S 1 s.w   Y  d S )Nr   )invalidr   Tr  r   )r*   r   r	   r   r  r   r   rW   r0   r0   r1   test_array_of_size_one  s   "z#TestProbplot.test_array_of_size_oneN)ra   rb   rc   rS   r  r  r  r6  r_  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)rU   rV   r   wilcoxonrW   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 )Nrn  wilcoxapproxr  prattzsplit)g     @Z@r   )r*   r[   rU   rV   r   r  r	   r   r0   r0   r1   test_zero_diff  s   
zTestWilcoxon.test_zero_diffc                 C   sd   g d}g d}t  }|jtdd tj||ddd}W d    n1 s&w   Y  t|d d S )	Nr  )r   r   rw   rz   Sample size too smallr  r  r  Zzero_methodr  )r   g|N?)r
   r  r'  r   r  r   )rN   r\   r  r  r^   r0   r0   r1   
test_pratt  s   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   rw   r   r   rw   r   r   r   r   r   r  r  r  r  r  )r   r  )rN   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   ry   r  rZ   r;   ry   rz   r   r   rz   c                 S   s   g | ]	\}}|g| qS r0   r0   )rs   ur   r0   r0   r1   rt     s    z7TestWilcoxon.test_accuracy_wilcoxon.<locals>.<listcomp>r  r  r  i  g.i?r  i  gFYv]Uj?r  iG  g%^ Ez?r  r  rV  r        y   r     r     p         w   r  r     r   r  s   r  r     F
correctionr  ra  g^҂<?r   r@   Tg:b+?)r  r*   Zconcatenater  zerosr   r   r  r   r   r	   )rN   freqnumsr\   r  r  rN  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   )rN   r\   r  r^   r]   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r7J t||}t
|drDJ d S )Nl   	m$S rZ   r  r  r   exact
zstatistic)r*   r-  r.  r   r  r   r  r   r   r  hasattr)rN   r1  r\   r  r^   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   )rN   statrN  Z
expected_pr0   r0   r1   test_wilcoxon_tie	  s   	

zTestWilcoxon.test_wilcoxon_tiec                 C   s  g d}g d}t  }|jtdd tj||ddd\}}W d    n1 s(w   Y  t|d t|d	d
d t  }|jtdd tj||dddd\}}W d    n1 sZw   Y  t|d t|dd
d t  }|jtdd tj||ddd\}}W d    n1 sw   Y  t|d t|dd
d t  }|jtdd tj||dddd\}}W d    n1 sw   Y  t|d t|dd
d d S )N)
}   r  rw     r  r  r  r  r  r  )
r  z   r  r  r  |   r     r     r  r  r  r  r  r  r  g13}?r7   rG   T)r  r
  r  g7a%?r  g?gڏoJT?)r
   r  r'  r   r  r	   r   )rN   r\   r  r  r   rN  r0   r0   r1   test_onesided  s<   	



zTestWilcoxon.test_onesidedc                 C   sZ   t ddD ]%}t|}t|}t||d  d d t| tt|d t|| qd S )Nr   r  r   )r  r   r   r	   r   rr  r   )rN   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QrA  r  r  g֔  ?r7   rG   r  gYJ?r  g*  ?r   rn  r  r   g(?g(?gS?)r*   r   r   r  r   r[   )rN   r\   r  r  rN  r0   r0   r1   test_exact_pvalJ  s    zTestWilcoxon.test_exact_pvalr\   )r   r   rw   )r   r   r  r  rz   )r   r   rw   r  r  ir:   r;   c                 C   s@   t |\}}t|}||dk  }t|| t|d d S Nr   r   )r   r  r*   r   rr  r	   )rN   r\   r   rN  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 s@w   Y  ttj|d
d||f t dd}tt|tj|d
d d S )Nr   rr  r  r   r  r  r<   zExact p-value calculationr  r  r   r  )r*   r[   r	   r   r  r
   r  r'  )rN   r\   r  rv  r  r   rN  r0   r0   r1   	test_autop  s   zTestWilcoxon.test_autoN)ra   rb   rc   r  r  r  r  r  r  r  r  r  r  r   r  r6  r7  r"  r#  r0   r0   r0   r1   r    s$    	
	&
r  c                   @   rd   )
	TestKstatc                    s   t jd t jd  fdddD }g d}t||dd tj d	d
}tj dd
}tj dd
}t|||f|d d ddd d S )Ni}  r  c                    s   g | ]}t  |qS r0   )r   kstat)rs   r   rO   r0   r1   rt     s    z>TestKstat.test_moments_normal_distribution.<locals>.<listcomp>r  )gHQ,?glZ)rI?g88}?gcJN?r  r@   r   )momentr   rw   r   g{Gz?{Gz?r  )r*   r-  r3  r  r   r   r'  )rN   Zmomentsr  m1m2Zm3r0   r&  r1    test_moments_normal_distribution  s   "z*TestKstat.test_moments_normal_distributionc                 C   rT   r)   )rU   rV   r   r%  rW   r0   r0   r1   rX     rY   zTestKstat.test_empty_inputc                 C   *   t d}t j|d< tt|t j d S NrB   r7   r*   r[   r   r	   r   r%  rl   r0   r0   r1   r        

zTestKstat.test_nan_inputc                 C   s*   t d}dD ]}tttj||d qd S )Nr   )r   g/$@rP  )r*   r[   rU   rV   r   r%  rN   rO   r   r0   r0   r1   test_kstat_bad_arg  s   
zTestKstat.test_kstat_bad_argN)ra   rb   rc   r+  rX   r   r1  r0   r0   r0   r1   r$    s
    r$  c                   @   r4   )TestKstatVarc                 C   rT   r)   rU   rV   r   ZkstatvarrW   r0   r0   r1   rX     rY   zTestKstatVar.test_empty_inputc                 C   r,  r-  r.  rl   r0   r0   r1   r     r/  zTestKstatVar.test_nan_inputc                 C   s    dg}d}t ttj||d d S )Nr   r   rP  r3  r0  r0   r0   r1   rm     s   zTestKstatVar.test_bad_argN)ra   rb   rc   rX   r   rm   r0   r0   r0   r1   r2    s    r2  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      t ddddd | _d S Nrz     r  r,  r2   r\   rW   r0   r0   r1   setup_method  r3   zTestPpccPlot.setup_methodc                 C   H   d}t j| jdd|d\}}g d}t|tjdd|d t|| d S )Nrz   r   N)g9%	?gxM _?g";9?g®XZ?g?num)r   	ppcc_plotr\   r   r*   r  )rN   r=  svalsppccppcc_expectedr0   r0   r1   rS     
   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@  r\   rE  r   )rN   Zsvals1Zppcc1Zsvals2Zppcc2Zsvals3Zppcc3r0   r0   r1   	test_dist  s   
zTestPpccPlot.test_distr  rV  c                 C   Z   t  }|d}tj| jddt d || |d}tj| jdd|d t   d S Nr  irn  r  )r  r  r  r   r@  r\   delaxesr  rN   r  r  r0   r0   r1   r       


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   rv   r   r   )rU   rV   r   r@  r\   rW   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)rN   rA  rB  r0   r0   r1   r    s   zTestPpccPlot.test_emptyN)ra   rb   rc   r9  rS   rF  r  r6  r_  r  r  rL  r  r0   r0   r0   r1   r4    s    
r4  c                   @   rd   )
TestPpccMaxc                 C   s   dg}t ttj|dd d S r   )rU   rV   r   ppcc_maxrl   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        @{r:   rG   )r   rE  r-   r   rO  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 )NrQ  r   r  rR  rS  r   rT  rE  r   rU  rz   rG   )r   rE  r-   rO  r   )rN   r\   Zmax1Zmax2Zmax3r0   r0   r1   rF    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 )NrQ  r   r  rR  rS  r   rT  )r   r   r  )brack)r   r   rU  r:   rG   )r   r   )r   rE  r-   rU   rV   rO  r   r   r0   r0   r1   
test_brack  s   
zTestPpccMax.test_brackN)ra   rb   rc   rP  rV  rF  rX  r0   r0   r0   r1   rN    s
    rN  c                   @   r  )TestBoxcox_llfc                 C   sT   t jjdddd}d}t ||}|j d tt| d  }t	|| d S )NrR  r   1  r   r   r   r   r)  r   )
r   r   r-   
boxcox_llfr   r*   r+   rr  rR   r   )rN   r\   lmbdallfZllf_expectedr0   r0   r1   rS     s
   $zTestBoxcox_llf.test_basicc                 C   D   t jjdddd}d}t ||}t |t|}t||dd d S Nr   r   rZ  r[  r   r  r@   )r   r   r-   r\  listr   rN   r\   r]  r^  Zllf2r0   r0   r1   test_array_like  
   zTestBoxcox_llf.test_array_likec                 C   P   t jjdddd}d}t ||}t |t||gj}t||g|dd d S r`  )r   r   r-   r\  r*   vstackr  r   rb  r0   r0   r1   test_2d_input  s
   zTestBoxcox_llf.test_2d_inputc                 C      t ttdg  d S rk   )r   r*   isnanr   r\  rW   r0   r0   r1   r  (     zTestBoxcox_llf.test_emptyc                 C   s"   g d}t d|}t|d d S )N)g     h@      m@rk  g     x@ig#:x1)r   r\  r   )rN   rO   r^  r0   r0   r1   test_gh_6873+  s   zTestBoxcox_llf.test_gh_6873N)ra   rb   rc   rS   rc  rg  r  rl  r0   r0   r0   r1   rY    s    
rY  (  iU>  iϵ i i_
 i7 i is iv  i+ i* i-q ir: i  i i i i_ i4  i iD  i i, iE i\  i i| ig  iM iӢ i[  i! i if6 iP i i iI i/ iF& i i i`# i i  i& i i iQ ia i
 iXZ iw  i_ im  iD i- iB  i:C i	 i' i  i % ix i  iz_ iQ i!# i= i  ix i
 iU7 i_ i1k iW9 i& ix iI i  iT i
 i i  irv im i͟  i iO iv i) iP i4 i= ii  iU i i ig> ix	 i` i| i0 i` iM	 i ' i[ i8 i  i3[ i  i) i`N i
	 i  i[ i:+ ip i	% i
  iV i[$ 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 )Nrz   r   r  r,  r   r]  r   r   r   r   )
r2   r   r   r   r*   r+   ra  r   r	   r  )rN   r\   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   rG   )r   r   r-   r   r   )rN   r]  r\   x_invro  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 )Nr1  rz   r   r,  rI  )alphagx@gv[%@r  gxˉEk?g8Bhk @r:   r7  rZ   r  g\?gx̡&@r   g7(U@gp:sY@)r*   r-  r   r2   r   r   r   )rN   r1  r\   r  rh   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   rU   rV   r   r   r   r0   r0   r1   test_boxcox_bad_arg  s    zTestBoxcox.test_boxcox_bad_argc                 C      t tg jdk d S N)r   )r   r   r   r  rW   r0   r0   r1   r    r3   zTestBoxcox.test_emptyc                 C   s    t t\}}t|ddd d S )NgsHjdrr   r@   r   r   _boxcox_datar   )rN   r  Zlamr0   r0   r1   rl    s   zTestBoxcox.test_gh_6873bounds)r   r   )r   r   )r   r  c                    sH    fdd}t jtd |d\}} d |  k r d k s"J  J d S )Nc                       t j|  ddS Nbounded)rz  r  r   minimize_scalarfunrz  r0   r1   	optimizer     zBTestBoxcox.test_bounded_optimizer_within_bounds.<locals>.optimizerr]  r  r   r   )r   r   ry  )rN   rz  r  r  r]  r0   r  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s,J t| d	  d S )
Nrn  r:  r   Zxatolr  c                    s   t j|  ddS )Nr~  )rz  r  optionsr  r  rz  r  r0   r1   r    s   zPTestBoxcox.test_bounded_optimizer_against_unbounded_optimizer.<locals>.optimizerr  r   rx  )rN   r  r]  r  Zlmbda_boundedr0   r  r1   2test_bounded_optimizer_against_unbounded_optimizer  s   
z=TestBoxcox.test_bounded_optimizer_against_unbounded_optimizerr  )strr   r   r:  c                 C   sD   t jtdd tjtd |d W d    d S 1 sw   Y  d S )Nz`optimizer` must be a callabler  r  r  r   rV   r   r   ry  rN   r  r0   r0   r1   $test_bad_optimizer_type_raises_error  s   "z/TestBoxcox.test_bad_optimizer_type_raises_errorc                 C   sP   dd }d}t jt|d tjtd |d W d    d S 1 s!w   Y  d S )Nc                 S   s   dS rk   r0   r  r0   r0   r1   r    s   zCTestBoxcox.test_bad_optimizer_value_raises_error.<locals>.optimizerz;`optimizer` must return an object containing the optimal...r  r  r  )rN   r  r   r0   r0   r1   %test_bad_optimizer_value_raises_error  s
   "z0TestBoxcox.test_bad_optimizer_value_raises_errorN)ra   rb   rc   rp  rr  rt  ru  r  rl  r  r6  r7  r  r  r  r  r0   r0   r0   r1   rm  i  s    
	
	
rm  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   r5  Nrz   r   r  r,  r8  rW   r0   r0   r1   r9    r3   zTestBoxcoxNormmax.setup_methodc                 C      t | j}t|ddd d S )Nm?r   r@   r   boxcox_normmaxr\   r   rN   r   r0   r0   r1   test_pearsonr     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   r  r\   r   r   )rN   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  r  r  r   r@   r  )rN   Z
maxlog_allr0   r0   r1   test_all  s   zTestBoxcoxNormmax.test_allr  )r  Zpearsonrr   rz  r{  c                    sN    fdd}t j| j||d}t d |k sJ t| d k s%J d S )Nc                    r|  r}  r  r  r  r0   r1   r    r  zITestBoxcoxNormmax.test_bounded_optimizer_within_bounds.<locals>.optimizer)r  r  r   r   )r   r  r\   r*   r   )rN   r  rz  r  r   r0   r  r1   r    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s3J t||d	 d S )
Nrz   r(  i  c                   @   s   e Zd ZdS )z?TestBoxcoxNormmax.test_user_defined_optimizer.<locals>.MyResultN)ra   rb   rc   r0   r0   r0   r1   MyResult  s    r  c                    s6   g }D ]	}| | | q  }t| |_|S r)   )appendr*   Zargminr\   )r  Zobjsr]  r^   r  Zlmbda_ranger0   r1   r    s   z@TestBoxcoxNormmax.test_user_defined_optimizer.<locals>.optimizer)r  r   )r   r  r\   r*   roundr  r   )rN   r]  Zlmbda_roundedr  Zlmbda2r0   r  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    d S 1 s(w   Y  d S )N)rW  r  z,`brack` must be None if `optimizer` is givenr  )g       r)  )r   r  r   r  r\   r  r   rV   r  r0   r0   r1   2test_user_defined_optimizer_and_brack_raises_error  s   
"zDTestBoxcoxNormmax.test_user_defined_optimizer_and_brack_raises_errorN)ra   rb   rc   r9  r  r  r  r  r6  r7  r  r  r  r0   r0   r0   r1   r    s    r  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   r5  r6  r8  rW   r0   r0   r1   r9  '  r3   zTestBoxcoxNormplot.setup_methodc                 C   r:  )Nrz   r;  r   r<  )g!X4}?g΁i?g-	15?gW$?g\ܱ{?r>  )r   boxcox_normplotr\   r   r*   r  )rN   r=  ZlmbdasrB  rC  r0   r0   r1   rS   *  rD  zTestBoxcoxNormplot.test_basicr  rV  c                 C   rG  rH  )r  r  r  r   r  r\   rI  r  rJ  r0   r0   r1   r  2  rK  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   )rU   rV   r   r  r\   rW   r0   r0   r1   rL  ?  s   z&TestBoxcoxNormplot.test_invalid_inputsc                 C   s   t tg ddjdk d S r!  )r   r   r  r   rW   r0   r0   r1   r  E  r  zTestBoxcoxNormplot.test_emptyN)ra   rb   rc   r9  rS   r  r6  r_  r  r  rL  r  r0   r0   r0   r1   r  &  s    
r  c                   @   r4   )TestYeojohnson_llfc                 C   r_  )Nr   r   rZ  r[  r   r  r@   )r   r   r-   yeojohnson_llfra  r   rb  r0   r0   r1   rc  K  rd  z"TestYeojohnson_llf.test_array_likec                 C   re  r`  )r   r   r-   r  r*   rf  r  r   rb  r0   r0   r1   rg  R  s
   z TestYeojohnson_llf.test_2d_inputc                 C   rh  rk   )r   r*   ri  r   r  rW   r0   r0   r1   r  Y  rj  zTestYeojohnson_llf.test_emptyN)ra   rb   rc   rc  rg  r  r0   r0   r0   r1   r  I  s    r  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sJ 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 seJ 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 rJ t |dkrJ |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  rz   r   r,  r   r   rn  r   r   rw   )	r*   r-  r   r2   r   r   
yeojohnsonr   r+   )rN   r1  r\   ro  posnegr0   r0   r1   rp  _  sL   


 $zTestYeojohnson.test_fixed_lmbdar]  )r   r:  r  r   c                 C   s   dd }d}t jd t jjdd|d}|||}t|\}}t||dd	 tdt j	|| | d
d td|
 dd td| dd d S )Nc                 S   s   t j| j| jd}| dk}t|t dk r"t | | d ||< nt | | | d d| d ||< t|d t dkrZdt d|  | |   d dd|   || < |S dt | |    || < |S )Nr   r   r   r   r   )r*   r  r  r   absspacingexppower)r\   r]  rq  r  r0   r0   r1   _inverse_transform  s   $
z:TestYeojohnson.test_lmbda_None.<locals>._inverse_transformi N  rS  r   r   )r   r   r   r(  r
  r   rG   )r*   r-  r3  normalr   r  r   r   linalgr   rP   rR   )rN   r]  r  Z	n_samplesr\   rq  ro  r   r0   r0   r1   rr    s   
zTestYeojohnson.test_lmbda_Nonec                 C   rv  rw  )r   r   r  r  rW   r0   r0   r1   r    r3   zTestYeojohnson.test_emptyc                 C   sD   t jjdddd}t |\}}t t|\}}t||dd d S )Nr   r   rZ  r[  r  r@   )r   r   r-   r  ra  r   )rN   r\   Zxt1r  Zxt2r0   r0   r1   rc    s   zTestYeojohnson.test_array_liker   c                 C   sP   t jd|d}d}tjt|d t| W d    d S 1 s!w   Y  d S )Nr7   r   z>Yeo-Johnson transformation is not defined for complex numbers.r  )r*   r[   r  r   rV   r   r  )rN   r   r\   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 )Nr;   r   r  r@   )r*   r[   Zfloat64r   r  r   )rN   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   r  r   r   )rN   r\   Zxt_yeoZlam_yeoZxt_boxZlam_boxr0   r0   r1   test_input_high_variance  s
   z'TestYeojohnson.test_input_high_varianceN)ra   rb   rc   rp  r  r6  r7  rr  r  rc  r*   Z	complex64Z
complex128r  Zint8uint8Zint16Zint32r  r  r0   r0   r0   r1   r  ]  s    /
$

r  c                   @   r4   )TestYeojohnsonNormmaxc                 C   r5  r  r8  rW   r0   r0   r1   r9    r3   z"TestYeojohnsonNormmax.setup_methodc                 C   r  )Ng?r   r@   )r   yeojohnson_normmaxr\   r   r  r0   r0   r1   r    r  zTestYeojohnsonNormmax.test_mlec                 C   s*   g d}t |}tj|dddsJ d S )N)gffffff@g r   r)  ffffff?g333333@r0  gffffff@g?g@r.  r*  g"@r  g      gzG?r  r
  )r   r  r*   Zallclose)rN   r\   r]  r0   r0   r1   test_darwin_example  s   
z)TestYeojohnsonNormmax.test_darwin_exampleN)ra   rb   rc   r9  r  r  r0   r0   r0   r1   r    s    r  c                   @   sB  e Zd Zejdejdfejdfej	dfgdd Z
dd Zejd	ejejfejejfej	ejfgd
d Zdd Zdd Zdd Zejdejdfejdfej	dfgdd Zejdejejej	gdd Zejdejejej	gdd Zejdejejdddfejejdddfej	ejdddfgd d! Zejdejd"eg d#ed$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  rz   r   r  r   ^  h  r  r  r@   r*   r   r   rN   	test_funcr  r\   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)rn  r  rf  rc     g     4@g3333333@r  r  r   r@   r  r)  r  )r*   r   rP   r   circmeanr   pirQ   circvarrR   circstd)rN   r\   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  )rN   r  Z
numpy_funcr\   Zcircstatr  r0   r0   r1   test_circfuncs_close	  s   z"TestCircFuncs.test_circfuncs_closec                       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:   ry   `  r8   ]  ie  r8   r;   if  ry   id  r  r  r?   r@   r   r  rk  c                       g | ]}t j | d dqS r  r  r   r  rs   r_   r\   r0   r1   rt   !	      z4TestCircFuncs.test_circmean_axis.<locals>.<listcomp>r   c                    &   g | ]}t j d d |f ddqS Nr  r  r  r  r  r0   r1   rt   %	     & )r*   r   r   r  ravelr   r  r  )rN   r  r  r0   r  r1   test_circmean_axis	  s   
z TestCircFuncs.test_circmean_axisc                    r  )Nr  r  r  r  r  dy=r@   r   r  c                    r  r  r   r  r  r  r0   r1   rt   2	  r  z3TestCircFuncs.test_circvar_axis.<locals>.<listcomp>r   c                    r  r  r  r  r  r0   r1   rt   6	  r  )r*   r   r   r  r  r   r  r  )rN   r  r  r0   r  r1   test_circvar_axis(	     
zTestCircFuncs.test_circvar_axisc                    r  )Nr  r  r  r  r  r  r@   r   r  c                    r  r  r   r  r  r  r0   r1   rt   C	  r  z3TestCircFuncs.test_circstd_axis.<locals>.<listcomp>r   c                    r  r  r  r  r  r0   r1   rt   G	  r  )r*   r   r   r  r  r   r  r  )rN   r  r  r0   r  r1   test_circstd_axis9	  r  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*   ri  )rN   r  r0   r0   r1   r  R	  r  zTestCircFuncs.test_emptyc                 C   s.   ddddddt jg}tt ||dd d S )	Nr  rz   r   r  r   r  r  r  r*   r   r   ri  rN   r  r\   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 ]-}||d	|d
}|d u r8tt | q#t|d || dd tt |dd    q#d S )N)r  rz   r   r  r   r  r   r  r:   ry   r  r8   r  r   r  r  r   r  r@   )r*   r   r   keysr   ri  r   r   rN   r  r  r\   rk  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 rBt||| dd q*t|d d || dd tt |d  q*d S )Nr  rz   r   r  r   r  r  r:   ry   r  r8   r  r  omit)r  
nan_policyrk  r  r@   r   )r*   r   r   r  r   r   ri  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  rz   r   r  r   r  r  r  r  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  rk  r   )r*   r   r   r   ri  r   r   )rN   r  r\   r  r0   r0   r1   test_nan_omit_all_axis	  s   z$TestCircFuncs.test_nan_omit_all_axisr\   r  rz   r  r   r  r  r:   ry   r  r8   r  c                 C      t t||ddd d S )Nr  raiser  rU   rV   r  r0   r0   r1   test_nan_raise	     zTestCircFuncs.test_nan_raisec                 C   r  )Nr  foobarr  r  r  r0   r0   r1   test_bad_nan_policy	  r  z!TestCircFuncs.test_bad_nan_policyc                 C   s$   d}|}t |}t||dd d S )Nr   r   r@   )r   r  r   )rN   r\   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*   r[   r  r   r4  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)$ra   rb   rc   r  r6  r7  r   r  r  r  r  r  r*   rP   rQ   rR   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 rL  rU   rV   r   median_testrW   r0   r0   r1   test_bad_n_samples	  rO  z!TestMedianTest.test_bad_n_samplesc                 C   s   t ttjg g d d S rL  r  rW   r0   r0   r1   r  	  r  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  rW   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  rW   r0   r0   r1   test_empty_contingency_row	  s   
z)TestMedianTest.test_empty_contingency_rowc                 C       t ttjg dddgdd d S )Nrv   ry   rz   r  r  r  rW   r0   r0   r1   test_bad_ties	     
zTestMedianTest.test_bad_tiesc                 C   r  )Nrv   ry   rz   r  r   r  rW   r0   r0   r1   r	  	  r  z"TestMedianTest.test_bad_nan_policyc                 C   r  )Nrv   ry   rz   r  )r  )rU   r;  r   r  rW   r0   r0   r1   r<  	  r  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 )Nrv   r)  r   r   r   )r   r  r	   r   )rN   r\   r  r  rN  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  rz   r7   )r:   r;   r8   )r   r   rw   )ry   r   r   r   r  )ry   r   r   r  )r   r   rw   )r   r  r	   )rN   r\   r  zr  rN  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   )ry   rz   r7   	propagater   r  g     ?gإvao?r+  r   r  )	r*   r   r   r  r	   r   r   rU   rV   )rN   r\   r  Zmt1r   rN  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 )
Nrx   )r   ry   r7   r;   ry   r   r   r   )Zlambda_Fr
  )r   r  r	   Zchi2_contingencyr   )rN   r\   r  r  rN  r  r  Zexp_statZexp_pZdofer0   r0   r1   rS   *
  s(   







zTestMedianTest.test_basicr
  FTc                 C   s>   g d}g d}t j|||d}t|j|j|j|jf| d S )Nrv   r  )r   r  r	   rK   r   r6  table)rN   r
  r\   r  r^   r0   r0   r1   r  I
  s   zTestMedianTest.test_resultN)ra   rb   rc   r  r  r  r  r  r	  r<  r  r  r  rS   r  r6  r7  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@r?  )	gfffffP@g,Q@gfffffQ@gfffffT@g     S@g     @R@g33333SQ@gffffffM@g33333I@r   rj  ry   )gHP?g&S:g[<)r*   Zdeg2radr   stackcossinr   directional_statsmean_directionr  r   )rN   declZinclrO   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   rj  )	callabler*   r#  r$  r%  r   r&  mean_resultant_lengthr   )rN   Zanglesr   rO   r^   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   rj  r   )r*   r-  r.  r  r#  r$  r%  r   r&  r'  Zarctan2r  r   r-  r  )
rN   r1  ZtestdataZtestdata_vectorr)  r*  Zdirectional_mean_angler  Zdirectional_varZcircular_varr0   r0   r1   test_directional_stats_2ds
  s$   





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   )r1        r   )r   r   r   r   )r   r   r   r   rj  )r*   r   Ztiler   r&  r   r'  )rN   rO   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 )Nr0  )r1  r2  r   )r*   r  r   r&  r   r'  r-  )rN   rO   Z
data_arrayr^   r   r0   r0   r1   )test_directional_stats_list_ndarray_input
  s   


z>TestDirectionalStats.test_directional_stats_list_ndarray_inputc                 C   sR   t d}d}tjtt|d t| W d    d S 1 s"w   Y  d S )N)rz   zIsamples must at least be two-dimensional. Instead samples has shape: (5,)r  )	r*   r   r  r   rV   reescaper   r&  )rN   rO   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 )Nr0  )g+Pz?g      r   T)	normalizer   )rk  ZkeepdimsF)	r*   r   r   r&  r  r   r   r'  r-  )rN   rO   r^   Znormalized_datar   r0   r0   r1    test_directional_stats_normalize
  s   
z5TestDirectionalStats.test_directional_stats_normalizeN)ra   rb   rc   r+  r  r6  r7  r*   r  r.  r/  r3  r4  r7  r9  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 sw   Y  t jt|d tg d W d    n1 s9w   Y  t jt|d tddtjg W d    n1 sYw   Y  d}t jt|d tjg dd	d
 W d    n1 s{w   Y  d}t jt|d tjg ddd W d    n1 sw   Y  t jt|d tjg ddd W d    d S 1 sw   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  rf   ZYAKr  z#`axis` must be an integer or `None`r  rj  r  )r  r   rV   r   false_discovery_controlr*   r   )rN   r   r0   r0   r1   test_input_validation
  s*   "z$TestFDRControl.test_input_validationc                 C   s,   g d}t |}g d}t||dd d S )N)r  g;On?g~jt?gI+?g&1?gB`"۹?gv?S㥛?);On?r>  I+?r?  gˡE?gHzG?r=  r=  r  r
  )r   r;  r   )rN   psr^   r   r0   r0   r1   test_against_TileStats
  s   
z%TestFDRControl.test_against_TileStatscase)
go?gQ]
Y?ghD@?u?D?gn@t?g=T	[ے?g=!s?rC  rC  g	L?Zbh)
glߢ?gq?g.0?R]D?g)<Gh?g$͂?g2-p?rD  rD  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,  r:   rw   r  r   r
  )r*   r-  r.  r   
loguniformr-   r;  r   )rN   rB  r   r  r1  r@  r^   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 NrE  r  r  )rw   ry   rz   r,  rj  )	r*   r-  r.  r   rF  r-   r;  r  r	   )rN   r1  r@  r^   r   r0   r0   r1   test_axis_None
  s
   zTestFDRControl.test_axis_Nonerk  )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 rH  )	r*   r-  r.  r   rF  r-   r;  Zapply_along_axisr	   )rN   rk  r1  r@  r^   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;  rW   r0   r0   r1   ri  
  s   zTestFDRControl.test_edge_casesN)ra   rb   rc   r<  rA  r  r6  r7  rG  rI  rJ  ri  r0   r0   r0   r1   r:  
  s"    

r:  )Ur{   rY  numpyr*   Znumpy.randomr   Znumpy.testingr   r   r   r   r   r   r	   r
   r  r   rU   r5  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   r5   re   r   r   r9  r  r  r  r@  ra  r  r  r  r  r  r$  r2  r4  rN  rY  ry  rm  r  r  r  r  r  r  r  r"  r:  r0   r0   r0   r1   <module>   s   (
!{  I E= WG .^ U6%(3uH# e d