o
    5Bi                    @   s
  d dl Z d dlZd dlmZ d dlZd dlmZ d dlm	Z	m
Z
mZmZmZmZmZmZ d dlZd dlmZ d dlZd dlmZmZ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$m%Z% e&e%Z%zd dl'Z'de'j(d< d dl)m*Z+ dZ,W n e-y   dZ,Y nw g dZ.g dZ/g dZ0g dZ1g dZ2g dZ3g dZ4g dZ5g dZ6g dZ7dd Z8G dd dZ9G d d! d!Z:G d"d# d#Z;G d$d% d%Z<G d&d' d'Z=G d(d) d)Z>G d*d+ d+Z?G d,d- d-Z@G d.d/ d/ZAG d0d1 d1ZBd2d3 ZCG d4d5 d5ZDG d6d7 d7ZEG d8d9 d9ZFG d:d; d;ZGG d<d= d=ZHG d>d? d?ZIG d@dA dAZJG dBdC dCZKg dDZLG dEdF dFZMG dGdH dHZNG dIdJ dJZOG dKdL dLZPG dMdN dNZQG dOdP dPZRG dQdR dRZSG dSdT dTZTG dUdV dVZUG dWdX dXZVdS )Y    N)partial)RandomState)assert_array_equalassert_almost_equalassert_array_lessassert_array_almost_equalassert_assert_allcloseassert_equalsuppress_warnings)raises)optimizestatsspecial)
_abw_state_get_As_weibull_Avals_weibull   )check_named_results   )_get_wilcoxon_distr_get_wilcoxon_distr2)_binary_search_for_binom_tst)distcont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$   c                  O   s   t tjj| i |S N)nplogr   gammarvs)argskwargs r3   `/var/www/html/Trade-python/venv/lib/python3.10/site-packages/scipy/stats/tests/test_morestats.py_old_loggamma_rvs6      r5   c                   @   $   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>            "@gURH#j@gV[%@ư>rtol      $@gai	@gӇu8@&.>_紫@   decimalgYs?g1O@+=)r   	bayes_mvsr   	statisticr	   minmaxselfdatameanvarstdr3   r3   r4   
test_basic;   s   
zTestBayes_mvs.test_basicc                 C      t ttjg  d S r,   )assert_raises
ValueErrorr   rN   rR   r3   r3   r4   test_empty_inputM      zTestBayes_mvs.test_empty_inputc                 C   s0   t d}d}t|}|D ]}t|| qd S )N   )rO   rP   )r-   aranger   rN   r   )rR   x
attributesresir3   r3   r4   test_result_attributesP   s   

z$TestBayes_mvs.test_result_attributesN)__name__
__module____qualname__rW   r\   rd   r3   r3   r3   r4   r8   :   s    r8   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 )Nr9   r@   ?rA   rM   rC   rE   rF   rG   rH   rI   rJ   rL   )r   mvsdistr   rT   r	   intervalrQ   r3   r3   r4   rW   Z   s   
zTestMvsdist.test_basicc                 C   rX   r,   rY   rZ   r   rk   r[   r3   r3   r4   r\   i   r]   zTestMvsdist.test_empty_inputc                 C      dg}t ttj| d S Nr   rm   rR   rS   r3   r3   r4   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 r3   rT   .0r`   r3   r3   r4   
<listcomp>v       z*TestMvsdist.test_warns.<locals>.<listcomp>r   r      c                 S   rt   r3   ru   rv   r3   r3   r4   rx   w   ry   r   r   r{         )warningscatch_warningssimplefilterRuntimeWarningr   rk   r[   r3   r3   r4   
test_warnsq   s
   
"zTestMvsdist.test_warnsN)re   rf   rg   rW   r\   rq   r   r3   r3   r3   r4   ri   Y   s
    ri   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@   ?r:   rJ      Ɍ?)(\?=
ףp=?\(\@ffffff@\(\?(\?Gz@(\ףp=
@皙?)\(?RQr   p=
ף?@
ףp=
?{Gz?\(\@{Gz@Q@IddY?Dio?r{   r~   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?r}   )r   shapiror   rO   pvaluenormr0   )
rR   x1wpwshapiro_testx2x3x4
W_expected
p_expectedr3   r3   r4   rW   {   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   r:   rJ   r   )
r   r   r   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   )rR   r   r   r   r   r   r3   r3   r4   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,   rY   rZ   r   r   r[   r3   r3   r4   r\         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)rY   rZ   r   r   r-   arrayobjectr[   r3   r3   r4   test_not_enough_values   s   "z"TestShapiro.test_not_enough_valuesc                 C   rn   ro   r   rR   r`   r3   r3   r4   rq      rr   zTestShapiro.test_bad_argc                 C   sd   t d}t j|d< t|\}}t|}t|t j t|jt j t|t j t|jt j d S )NrE   r;   )	r-   r_   nanr   r   r
   rO   r   r   )rR   r`   r   r   r   r3   r3   r4   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㈵>rC   )r   boxcoxr   r	   )rR   	trans_valmaxlogrb   refr3   r3   r4   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?rB   rC   )r   r   r   r	   rO   )rR   rb   r`   r3   r3   r4   test_length_3_gh18322   s   
z!TestShapiro.test_length_3_gh18322N)re   rf   rg   rW   r   r\   r   rq   r   r   r   r3   r3   r3   r4   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	   )rR   rsr   r   Acritsigvr3   r3   r4   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   )rR   r   r   r   r   r   r   r3   r3   r4   
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_   rT   r	   )rR   r   a2r   r   nxbarsr   r   rc   expected_a2r3   r3   r4   test_gumbel  s   
*zTestAnderson.test_gumbelc                 C      t ttjdgdd d S Nr   plate_of_shrimpdist)rY   rZ   r   r   r[   r3   r3   r4   rq   *  r6   zTestAnderson.test_bad_argc                 C   s0   t d}|jdd}t|}d}t|| d S )Nr   r   r   rO   critical_valuessignificance_level)r   r   r   r   r   )rR   r   r`   rb   ra   r3   r3   r4   rd   -  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	   )	rR   r   r`   A1crit1sig1A2crit2sig2r3   r3   r4   test_gumbel_l4  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   )
rR   r   r   r   r   r  r  r  r  r  r3   r3   r4   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`?rC   gp=
ף?MbP?r   r   g?r   皙?g?atol)r-   r   r   r   
fit_resultparamsr	   rO   r   r   r   )
rR   r`   rb   mr   r   cAs40As45As_refr3   r3   r4   test_weibull_min_case_AM  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        r<   F      r"    ;            iF  z/Maximum likelihood estimation has converged to matchr  )r-   r   pytestr   rZ   r   r   )rR   r`   messager3   r3   r4   test_weibull_min_case_B`  s
   "z$TestAnderson.test_weibull_min_case_Bc              	   C   s   t g d }d}d}tjt|d}tjt|d}|) | t|d W d    n1 s0w   Y  W d    d S W d    d S 1 sHw   Y  d S )N)	r	  K   r      k   r<   =   +   r"  z:Critical values of the test statistic are given for the...z;An error occurred while fitting the Weibull distribution...r+  r  )	r-   r   r-  warnsUserWarningr   rZ   r   r   )rR   r`   wmessageemessagewcontextecontextr3   r3   r4   test_weibull_warning_errorh  s   Pz'TestAnderson.test_weibull_warning_errordistname)r   r   r   extreme1r   r  logisticr  c                 C   s\   t jd}|dv rdn|}tt|}t| }|j|d|d}t||}|jj	s,J d S )Nl   'Dah$>   r   r=  r     r   r   )
r-   randomdefault_rnggetattrr   r   r0   r   r  success)rR   r<  rngreal_distnamer   r  r`   rb   r3   r3   r4   test_anderson_fit_paramss  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rR   r  r3   r3   r4   test_anderson_weibull_As  s   z%TestAnderson.test_anderson_weibull_AsN)re   rf   rg   r   r   r   rq   rd   r  r  r  r/  r;  r-  markparametrizerG  rJ  r3   r3   r3   r4   r      s     


r   c                   @   s\   e Zd Zdd Zdd Zejj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@rR        F@g     F@rQ  ffffffA@rU  g33333A@gB@gfffffB@gD@gffffffE@Fmidrankg@r{   gCl?gvq-?g,Ԛ?gl@gPk	@r   r~   r}   gJ4a?Mb0?r  r-   r   r   anderson_ksampr   r   r	   rR   t1t2t3t4Tktmpr3   r3   r4   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 )NrN  rO  rP  rT  TrV  gQ@r{   rX  r   r~   r}   r  rY  r  rZ  r\  r3   r3   r4   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}|||||||||	|
||||f}t j|dd\}}}t|dd tg d|dd d t|ddd tjd}t jd|d}t j|d|d}t	|j
| t	|j| t|j|dd d S )N   r^   )   r"  !      i  rI   :   %   r   A   r;      i     $      v   
"         rw  C   r   >   r=      ru  Z   r   <      r3  1   rI      8      O   T   ,   r'  r"  rs        i6  L   r*  r     ry        r$  e   r  r  r   r!  r"  r#  r<   r$  r%  r"  r&  r'  r(  7   i@  r  h         /            ri  r  i  W   r=   x   rI   ry  r  r	  G   r  r%  *   r  r~   r<   r     r{   rI   r  r  rI   r     r|  r   r  4   _   a   3   r  r}      rw     D   M   P   r   r  j      R   6   rv     .   o   '   ?   rw     rw     r  r   r  f   H   rz  r  r{   r^         r  X   r  r~   r~   rq  rz        r     r  r?   rI   	g  r;   r<   i  i[  r{   r  r   i  r      r~   i  #   r<   i  rw  r   r=   b   r~   U   [   r4     r{   r  r     rI   r   r      rx  r'        r(  rI   r  B   r3  ru  FrV  gM
@r{   g^I+?g~:?g+e?gH.!@gcZB>h@r   r~   r}   	^)p?rY  r  l   <Ic i'  n_resamplesr   )rW  methodga2U0*C?)r   r[  r   r   r	   r-   rA  rB  PermutationMethodr   rO   r   r   )rR   r]  r^  r_  r`  t5t6t7t8t9t10t11t12t13t14samplesra  rb  rc  rE  r  rb   r3   r3   r4   test_example2a  s6    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{  r  r  r  r  r  r  r  r  r  r  TrV  g'1Z
@r{   r  r   r~   r}   r  rY  r  )r   r[  r   r   r	   )rR   r]  r^  r_  r`  r  r  r  r  r  r  r  r  r  r  ra  rb  rc  r3   r3   r4   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@FrV  g=
ףpD@r{   r  gGzD@zp-value capped      ?g?ܵr}         ?g?ܵ      @g!u?gףp=
׳?{Gzt?r   r  rD   r:   gBiq?g鷯?      '@g:M@g46<Rv?gMb@?g      +@g6>W[1@g1ZGUS?-C6?)
r-   linspacer   filterr6  r   r[  r   r
   r	   )rR   r   supr   _rc  r3   r3   r4   test_R_kSamples  sJ   !



z!TestAndersonKSamp.test_R_kSamplesc                 C   s   t ttjtd d S Nr~   rY   rZ   r   r[  r-   r   r[   r3   r3   r4   test_not_enough_samplesA  r6   z)TestAndersonKSamp.test_not_enough_samplesc                 C   s"   t ttjtdtdf d S r  r  r[   r3   r3   r4   test_no_distinct_observationsD  s   z/TestAndersonKSamp.test_no_distinct_observationsc                 C   s   t ttjtdg f d S r  r  r[   r3   r3   r4   test_empty_sampleH     z#TestAndersonKSamp.test_empty_samplec                 C   sH   g d}t g d}tj||fdd}d}t|| t|j|j d S )NrN  rO  FrV  r   )r-   r   r   r[  r   r
   r   r   )rR   r]  r^  rb   ra   r3   r3   r4   rd   K  s   
z(TestAndersonKSamp.test_result_attributesN)re   rf   rg   rd  re  r-  rK  slowr  r  r  r  r  r  rd   r3   r3   r3   r4   rM    s    
& PrM  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   r{   r{   r}   r{   r   r:   r   r:   r   r}   r   %Ties preclude use of exact statistic.g     7@r  g8#oG?)r   r  r6  r   ansarir   )rR   r`   yr  Wpvalr3   r3   r4   
test_smallY  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  r2  r   c   r  r  m   l   r  r  r  `   r  r  r2  q   t   r  n   r  r2  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  r6  r   r  r   )rR   ramsayparekhr  r  r  r3   r3   r4   test_approxb  s   

zTestAnsari.test_approxc                 C   s4   t g dg d\}}t|dd t|dd d S )Nr   r   r{   r}   )r^   r~   r  r>   r   r<   rE   r  g?r=   )r   r  r   )rR   r  r  r3   r3   r4   
test_exactp  s   zTestAnsari.test_exactc                 C   s(   t ttjg dg t ttjdgg  d S ro   rY   rZ   r   r  r[   r3   r3   r4   rq   u  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  rO   r   )r   r  r6  r   r  r   )rR   r`   r  r  rb   ra   r3   r3   r4   rd   y  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$w   Y  d S )Nr  r~   r:   r=   r>   z!'alternative' must be 'two-sided'r+  fooalternativer  )rR   r   r   r,  r3   r3   r4   test_bad_alternative  s   "zTestAnsari.test_bad_alternativec           
      C   s   g d}g d}t ||\}}t j||ddj}t j||ddj}|dks(J |dk s.J t|t|t|}t|| d| d	d
 t||d d	d
 t|d| |d  d	d
 t j||ddj}t j||ddj}	|dk srJ |	dksxJ d S )N)r   r~   r   r^   r  r  )r  g      !@      #@g      %@r  g      )@lessr  greaterffffff?皙?r   -q=r  r   )r   r  r   r   pmfr   r	   )
rR   r   r   rO   r  pval_lpval_gprobpval_l_reversepval_g_reverser3   r3   r4   test_alternative_exact  s   z!TestAnsari.test_alternative_exactzx, y, alternative, expectedr  r  r  g@A?r  rz   )r}   r~   r:   r=   r>   gG$I?g%I$I?r|   )r:   r=   r>   c                 C   s$   t j|||dj}t||dd d S )Nr  r  r  )r   r  r   r	   )rR   r`   r  r  expectedr  r3   r3   r4   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   r~   r   {   r@  r   r  r  r  r   r  r  r   r}        ?r   )r   r   r0   r  r   r	   )rR   r   r   r  r  r  r3   r3   r4   test_alternative_approx  s   z"TestAnsari.test_alternative_approxN)re   rf   rg   r  r  r  rq   rd   r  r"  r-  rK  rL  r$  r'  r3   r3   r3   r4   r  W  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   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   )rR   r1   Tr  r3   r3   r4   	test_data     zTestBartlett.test_datac                 C      t ttjdg d S ro   )rY   rZ   r   r4  r[   r3   r3   r4   rq        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/  r0  r1  r2  r3  r   r4  r   rR   r1   rb   ra   r3   r3   r4   rd        
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/  r0  r1  r2  r3  r
   r-   r   r   r4  )rR   r1   r3   r3   r4   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   r{   r}   )r-   r   rY   rZ   r   r4  r*  r   r3   r3   r4   test_1d_input     zTestBartlett.test_1d_inputN)re   rf   rg   r6  rq   rd   r>  rA  r3   r3   r3   r4   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   r)  )NgYpK?r=   gI{]?)r*  r+  r,  r-  r.  r/  r0  r1  r2  r3  r   levener   )rR   r1   r  r  r3   r3   r4   r6    r7  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 )NrT   centertrimmedr   rF  proportiontocut)r   rD  r*  r+  r,  r   )rR   W1pval1W2pval2r3   r3   r4   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   rQ        @rR  g      @rS  g      @      i@  rG        ?rH  r   r   rT   rE  )r-   rA  seedpermutationr   rD  r   )
rR   r`   r  r   W0pval0rJ  rK  rL  rM  r3   r3   r4   test_trimmed2	  s   



$

zTestLevene.test_trimmed2c                 C   sn   t ddd}t jd t j|}|d }tj||dd\}}tj||dd\}}t|| t|| d S )	Nr   r   r%  rY  r{   rT   rE  median)r-   r  rA  r[  r\  r   rD  r   )rR   r`   r   r  rJ  rK  rL  rM  r3   r3   r4   test_equal_mean_median  s   
z!TestLevene.test_equal_mean_medianc                 C   &   t ddd}tttj||dd d S Nr   r   r%  皙?)portiontocut)r-   r  rY   	TypeErrorr   rD  r   r3   r3   r4   test_bad_keyword%  r   zTestLevene.test_bad_keywordc                 C   rb  Nr   r   r%  trimrE  )r-   r  rY   rZ   r   rD  r   r3   r3   r4   test_bad_center_value)  r   z TestLevene.test_bad_center_valuec                 C   r8  ro   )rY   rZ   r   rD  r[   r3   r3   r4   test_too_few_args-  s   zTestLevene.test_too_few_argsc              
   C   r:  r;  )r*  r+  r,  r-  r.  r/  r0  r1  r2  r3  r   rD  r   r<  r3   r3   r4   rd   0  r=  z!TestLevene.test_result_attributesc                 C   r?  r@  )r-   r   rY   rZ   r   rD  r*  r   r3   r3   r4   rA  7  rB  zTestLevene.test_1d_inputN)re   rf   rg   r6  rN  r_  ra  rg  rj  rk  rd   rA  r3   r3   r3   r4   rC    s    	
rC  c                   @   s  e Zd ZdZdd Zdd Zdd Zdd	 Zej	
d
g ddd Zej	
d
g ddd Zej	
dg ddd Zej	
dg ddd Zej	
dg dg dg dg dg dg dg d g d!g d"g d#g d$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dCdD ZdEdF ZdGdH Zej	jejdIkdJdKdLdM ZdNS )O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   rC   iΙ gX7?i	ϙ g=?iϙ gybw?rG   r   	binomtestr	   r   rR   rD   rb   r3   r3   r4   test_two_sided_pvalues1C  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 )Nrm  r;   r%  rn  r   rc  gX-h?rC   r}   g㤶y?r  g	y}?r=   g+,?r{   r   r  g      ?r   r  g{Gz?g333333?g<,?ro  rq  r3   r3   r4   test_two_sided_pvalues2Q  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 )Nrm  i  i  r  r   rC   r{   r  gAL &W?r?   r  g!YB?r^   r  gE]t?r=   r:   r  ro  rq  r3   r3   r4   test_edge_casesb  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  r{   r   r   axisc                    s   t j|   S r,   r   binomr  r   rs  r3   r4   <lambda>~  r]   z>TestBinomTest.test_binary_srch_for_binom_tst.<locals>.<lambda>rG   rC   r=   c                    s   t j|  S r,   rx  rz  rs  r3   r4   r{       )r-   r_   ceilr   ry  r  sumr   intr	   floor)rR   krc   dy1ixy2r3   rs  r4   test_binary_srch_for_binom_tstq  s(    z,TestBinomTest.test_binary_srch_for_binom_tstz"alternative, pval, ci_low, ci_high))r  g$W?r   g?)r  g}?gGI~?r   )	two-sidedg}G?g>?6?g4M?c                 C   X   t jddd|d}t|j|dd t|jd |jdd	}t|j|jf||fdd d S )
Nr  r   r  r   rc  r  r  rC   皙?r  confidence_level	r   rp  r	   r   r
   rO   proportion_cilowhighrR   r  r  ci_lowci_highrb   cir3   r3   r4   test_confidence_intervals1  
   z(TestBinomTest.test_confidence_intervals1))r  ga&+w?r   gny?)r  g5!Rx?g5%?r   )r  g~th?gSuR&|?g|KnG?c                 C   r  )
Nr{   r   r  r  rB   rC   gQ?r(   r  r  r  r3   r3   r4   test_confidence_intervals2  r  z(TestBinomTest.test_confidence_intervals2zalternative, pval, ci_high))r  gլ?g̓A?)r  r   r   )r  gEow?g;Kڞj?c                 C   sN   t jddd|d}t|j|dd |jdd}t|jd	 t|j|dd d S )
Nr   r   r  rc  r  rB   rC   r  r  r   )r   rp  r	   r   r  r
   r  r  )rR   r  r  r  rb   r  r3   r3   r4   !test_confidence_interval_exact_k0  
   z/TestBinomTest.test_confidence_interval_exact_k0zalternative, pval, ci_low))r  r   r   )r  6>g@>}_?)r  r  gcڒ ?c                 C   sN   t jddd|d}t|j|dd |jdd}t|jd t|j|dd d S )	Nr   r  r  rB   rC   r  r  r   )r   rp  r	   r   r  r
   r  r  )rR   r  r  r  rb   r  r3   r3   r4   %test_confidence_interval_exact_k_is_n  r  z3TestBinomTest.test_confidence_interval_exact_k_is_nz+k, alternative, corr, conf, ci_low, ci_high)r{   r  Tr  g`?g?)r{   r  Tr(   grt!?g/?)r{   r  Fr  gVK5?g5dM?)r{   r  Fr(   gXCVu^?g*r[?)r{   r  Tr  r   gP-V?)r{   r  Tr(   r   g^'?)r{   r  Fr  r   gS5a?)r{   r  Fr(   r   g?)r{   r  Tr  g!Շ`ⰸ?r   )r{   r  Tr(   g$x"?r   )r{   r  Fr  gW~=?r   )r{   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   rd  r  wilsonccwilson)r  r  rB   rC   )r   rp  r  r	   r  r  )
rR   r  r  corrconfr  r  rb   r  r  r3   r3   r4   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 )Nr}   r  r  r   )r   rp  r
   rO   r   rR   rb   r3   r3   r4   &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   rZ   r   rp  )rR   r  r   r3   r3   r4   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 \(11\) must not be greater than n \(10\).r+  r  r   r  r  r[   r3   r3   r4   test_invalid_k_too_big  s
   "z$TestBinomTest.test_invalid_k_too_bigc                 C   sF   t jtdd tddgdd W d    d S 1 sw   Y  d S )Nzk must be an integer.r+  r   r  r%  r  )r-  r   rf  r   rp  r[   r3   r3   r4   test_invalid_k_wrong_type  s
   "z'TestBinomTest.test_invalid_k_wrong_typec                 C   s   d}t jt|d tjdddd W d    n1 sw   Y  d}t jt|d tjdddd W d    d S 1 s>w   Y  d S )	Nzp \(-0.5\) must be in range...r+  r            ࿩rc  zp \(1.5\) must be in range...r&  r  rR   r.  r3   r3   r4   test_invalid_p_range  s   "z"TestBinomTest.test_invalid_p_rangec                 C   sT   t jdddd}d}tjt|d |jdd W d    d S 1 s#w   Y  d S )	Nr{   r   rd  rs  z/confidence_level \(-1\) must be in the intervalr+  r   r  r   rp  r-  r   rZ   r  )rR   rb   r.  r3   r3   r4   test_invalid_confidence_level  s
   "z+TestBinomTest.test_invalid_confidence_levelc                 C   sP   t jdddd}tjtdd |jdd W d    d S 1 s!w   Y  d S )	Nr{   r   rd  rs  z$method \('plate of shrimp'\) must ber+  zplate of shrimpr  r  r  r3   r3   r4   test_invalid_ci_method  s   "z$TestBinomTest.test_invalid_ci_methodc                 C   sF   t jtdd tjddddd W d    d S 1 sw   Y  d S )Nzalternative \('ekki'\) not...r+  r{   r   rd  ekkir  r  r[   r3   r3   r4   test_invalid_alternative  s   "z&TestBinomTest.test_invalid_alternativec                 C   s"   t jdddd}t|j|j d S )Nr{   r   rd  rs  )r   rp  r
   proportion_estimaterO   r  r3   r3   r4   
test_alias  s   zTestBinomTest.test_aliasl        z32-bit does not overflowreasonc                 C   sH   t jtdd tjddtjjd W d    d S 1 sw   Y  d S )NzError in function...r+  r~   r:   r  )r-  r   OverflowErrorr   rp  sys
float_infominr[   r3   r3   r4   test_boost_overflow_raises#  s   "z(TestBinomTest.test_boost_overflow_raisesN)re   rf   rg   __doc__rr  rt  ru  r  r-  rK  rL  r  r  r  r  r  r  r  r  r  r  r  r  r  r  skipifr  maxsizer  r3   r3   r3   r4   rl  <  s~     


	
	


rl  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 )Nr~   r   )gnf	@gDq?r  )r-   r_   r   r   fligner)rR   r   r3   r3   r4   r6  ,  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 )Nrm  )r-   asarrayrandnr   tolist)gr   r3   r4   _perturb8  s    z+TestFligner.test_trimmed1.<locals>._perturbrT   rE  rG  r   rH  )	r-   rA  r   r*  r+  r,  r   r  r   )	rR   r  g1_g2_g3_Xsq1rK  Xsq2rM  r3   r  r4   rN  3  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 )
NrO  rV  rG  rZ  rH  r   r   rT   rE  )r   r  r   )rR   r`   r  r  rK  r  rM  r3   r3   r4   r_  F  s   

$
zTestFligner.test_trimmed2c                 C   rb  rc  )r-   r  rY   rf  r   r  r   r3   r3   r4   rg  `  r   zTestFligner.test_bad_keywordc                 C   rb  rh  )r-   r  rY   rZ   r   r  r   r3   r3   r4   rj  d  r   z!TestFligner.test_bad_center_valuec                 C   r8  ro   )rY   rZ   r   r  r[   r3   r3   r4   test_bad_num_argsh  r9  zTestFligner.test_bad_num_argsc                 C   s.   t d}tt jt jft||d g  d S )Nr~   r   )r-   r_   r
   r   r   r  r   r3   r3   r4   r>  l  s   
$zTestFligner.test_empty_argN)
re   rf   rg   r6  rN  r_  rg  rj  r  r>  r3   r3   r3   r4   r  *  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  r~   )r  r  r   r   r   r  )		enumerater-   rA  rB  integersziprangeshufflesplit)expected_resultsseedssir[  rE  xytie_indnum_ties_per_indrc   r   jr`   r  r3   r3   r4   mood_cases_with_tiesq  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	   )rR   r`   r  r  stat_expectp_expectrO   r   r3   r3   r4   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  )rR   r  r#  r`   r  rb   r3   r3   r4   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 )NrY  r   r   r^   )r-   rA  r[  r  r   r  r   )rR   r   r   z1p1z2p2r3   r3   r4   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   )r^   r   rv  g4g^}E	?)r-   r   shaper   r   r  )rR   r   r   r3   r3   r4   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 )Nr~   rY  r   r^   r   rv  )	r-   rA  r[  r  r   r  r  r   	transpose)rR   nyr   r   	z_vectestpval_vectestr  rc   r3   r3   r4   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   r~   r:   rY  r{   rv  r   r   r   )r-   rA  r[  r  r  r   r  r   )rR   r  r   r   rw  r  r  axes_idxrc   r  slice1slice2r3   r3   r4   test_mood_3d  s2   

zTestMood.test_mood_3dc                 C   s   t ttjdgg  d S ro   )rY   rZ   r   r  r[   r3   r3   r4   test_mood_bad_arg     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         ?r   )r   r   g      ?r  r  r  r  Hz>r  r   r   z`alternative` must be...r+  z	ekki-ekki)r-   rA  r[  r   r   r0   r  r	   r-  r   rZ   )	rR   r`   r  stat1r  stat2r  stat3p3r3   r3   r4   test_mood_alternative  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   )r^   r   r  )	r-   rA  rB  r   r   r  r
   rO   r   )rR   r  rE  r   r   rb   r3   r3   r4   test_result,  s
   

zTestMood.test_resultN)re   rf   rg   r-  rK  rL  r  r  r  r  r  r  r  r  r  r  r3   r3   r3   r4   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 )	Nr  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   r0   probplotr	   r-   sort)rR   r`   osmosrosm_expectedrb   res_fitres_fit_expectedr3   r3   r4   rW   8  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   r3   )r   r   r0   r   r	   )
rR   r`   osm1osr1osm2osr2osm3osr3r  r  r3   r3   r4   test_sparams_keywordG  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 )Nr  r  r@  Ft)r{   )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)rR   qr3   r3   r4   r  a  r|  z7TestProbplot.test_dist_keyword.<locals>.custom_dist.ppfN)re   rf   rg   r  r  r3   r3   r3   r4   custom_dist_  s    r  )r   r  )r   r   )	r   r   r0   r   r  r	   rY   rZ   AttributeError)rR   r`   r	  r
  r  r  r  r3   r3   r4   test_dist_keywordU  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oXt	|  koXt	|  koXd	kn   t
|| t
|| t
|| t
|| t  }|d}	tj|d|	d t   d S )
Nr  r{   r   t r@  plotF)r   r  r   )pltfigureadd_subplotr   r  r0   r   closer   r   r	   )
rR   figr`   res1fitres1res2fitres2res3res4axr3   r3   r4   test_plot_kwargi  s$   
@




zTestProbplot.test_plot_kwargc                 C   r   r   )rY   rZ   r   r   r[   r3   r3   r4   test_probplot_bad_args     z#TestProbplot.test_probplot_bad_argsc                 C   sZ   t tjg ddtg tg f t tjg ddtg tg ftjtjdff d S )NFr  Tr   )r
   r   r   r-   r   r   r[   r3   r3   r4   
test_empty  s   zTestProbplot.test_emptyc                 C   sj   t jdd% ttjdgddt dgt dgft jt jdff W d    d S 1 s.w   Y  d S )Nr   )invalidr   Tr  r   )r-   r   r
   r   r   r   r   r[   r3   r3   r4   test_array_of_size_one  s   "z#TestProbplot.test_array_of_size_oneN)re   rf   rg   rW   r  r  r-  rK  r  have_matplotlibr&  r'  r)  r+  r3   r3   r3   r4   r  6  s    
r  c                   @   s   e Zd Zdd Zdd Zdd Zdd Zd	d
 Zdd Zdd Z	dd Z
dd Zdd Zdd Zejdg dg dg dgdd Zdd Zejdg d d!d" Zd#d$ 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   xyzmode)rY   rZ   r   wilcoxonr[   r3   r3   r4   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 )Nr  wilcoxapproxr0  prattzsplit)g     @Z@r   )r-   r_   rY   rZ   r   r2  r
   r   r3   r3   r4   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   r{   r~   Sample size too smallr  r6  r5  zero_methodr1  )r   g|N?)r   r  r6  r   r2  r	   )rR   r`   r  r  rb   r3   r3   r4   
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   r{   r   r   r{   r   r   r   r   r   r6  r5  r:  r7  r4  )r   r2  )rR   arrr  r3   r3   r4   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   r}   r  r^   r>   r}   r~   r   r   r~   c                 S   s   g | ]	\}}|g| qS r3   r3   )rw   ur   r3   r3   r4   rx     s    z7TestWilcoxon.test_accuracy_wilcoxon.<locals>.<listcomp>r6  r5  r0  i  g.i?r7  i  gFYv]Uj?r4  iG  g%^ Ez?r  r  rj  r        y   r     r     p         w   r  rG     r  r  s   rD  r     F
correctionr1  ru  g^҂<?rB   rC   Tg:b+?)r  r-   concatenater  zerosr   r   r2  r	   r   r
   )rR   freqnumsr`   r  r5  rc  r3   r3   r4   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 )NrA  rH  Fr5  rO  r  )r-   r   r   r2  r   )rR   r`   r  rb   ra   r3   r3   r4   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 r^   r5  r0  r   exact
zstatistic)r-   rA  rB  r   r2  r   r  r   r	   rX  hasattr)rR   rE  r`   r  rb   r   r3   r3   r4   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 )Nrd  r   r5  r0  g4IťY?r   rB   rC   TrO  gc2_?)r   r2  r
   r	   )rR   statrc  
expected_pr3   r3   r4   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)
}   rM  r     r_  rM  r_  r^  r_  r  )
r  z   r^  r  r_  |   r%     r     r9  r  r  r5  r  r1  r(  g13}?r:   rJ   T)r  rP  r1  g7a%?r  g?gڏoJT?)r   r  r6  r   r2  r
   r   )rR   r`   r  r  r   rc  r3   r3   r4   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   r~  r   )rR   r   pmf1pmf2r3   r3   r4   test_exact_basic'  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  rW  rd  g֔  ?r:   rJ   r  gYJ?r  g*  ?r   r  r  r   g(?g(?gS?)r-   r   r   r2  r   r_   )rR   r`   r  r  rc  r3   r3   r4   test_exact_pval/  s    zTestWilcoxon.test_exact_pvalr`   )r   r   r{   )r   r   r  r?  r~   )r   r   r{   r?  r  ir=   r>   c                 C   s@   t |\}}t|}||dk  }t|| t|d d S Nr   r   )r   r2  r-   r   r~  r
   )rR   r`   r   rc  wtruer3   r3   r4   test_exact_p_1K  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   r  r  r   rW  r0  r?   zExact p-value calculationr  r5  r   r  )r-   r_   r
   r   r2  r   r  r6  )rR   r`   r  r  r  r   rc  r3   r3   r4   	test_autoU  s   zTestWilcoxon.test_autor   )r{   r~   r   c                 C   s   t jd}|j|d}tj|t d}tj|dd}t|j|j t|j|j |j|d d}t jd}tjd|d}tj||d}t jd}tjd|d}tj||d}tt 	|jd	|j t|j|j d S )
Nl   aQG1X@
r   r  rW  r   l   VsWFr  r  r   )
r-   rA  rB  r   r2  r  r
   rO   r   round)rR   r   rE  r`   rb   r   pmr3   r3   r4   test_permutation_methodg  s   z$TestWilcoxon.test_permutation_methodc                 C   sd   t jd}|jdd}t j|d< t|}tj|dd}t|| t|ds)J t|dr0J d S )Nl   HF )Z )r  r   r   )r~   r   r5  r  rX  )	r-   rA  rB  normalr   r   r2  r	   rY  )rR   rE  r   rb   r   r3   r3   r4   6test_method_auto_nan_propagate_ND_length_gt_50_gh20591{  s   


zCTestWilcoxon.test_method_auto_nan_propagate_ND_length_gt_50_gh20591N)re   rf   rg   r3  r8  r<  r>  rU  rV  rZ  r]  re  rh  rj  r-  rK  rL  rm  rn  rq  rs  r3   r3   r3   r4   r-    s*    	
	&

r-  c                   @   rh   )
	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 r3   )r   kstat)rw   r   rS   r3   r4   rx     s    z>TestKstat.test_moments_normal_distribution.<locals>.<listcomp>r  )gHQ,?glZ)rI?g88}?gcJN?r  rC   r   )orderr   r{   r   g{Gz?{Gz?r  )r-   rA  r[  r  r	   r   moment)rR   momentsr#  m1m2m3r3   rv  r4    test_moments_normal_distribution  s   "z*TestKstat.test_moments_normal_distributionc                 C   rX   r,   )rY   rZ   r   ru  r[   r3   r3   r4   r\     r]   zTestKstat.test_empty_inputc                 C   *   t d}t j|d< tt|t j d S NrE   r:   r-   r_   r   r
   r   ru  rp   r3   r3   r4   r        

zTestKstat.test_nan_inputc                 C   s*   t d}dD ]}tttj||d qd S )Nr   )r   g/$@r   )r-   r_   rY   rZ   r   ru  rR   rS   r   r3   r3   r4   test_kstat_bad_arg  s   
zTestKstat.test_kstat_bad_argN)re   rf   rg   r~  r\   r   r  r3   r3   r3   r4   rt    s
    rt  c                   @   r7   )TestKstatVarc                 C   rX   r,   rY   rZ   r   kstatvarr[   r3   r3   r4   r\     r]   zTestKstatVar.test_empty_inputc                 C   r  r  r  rp   r3   r3   r4   r     r  zTestKstatVar.test_nan_inputc                 C   s    dg}d}t ttj||d d S )Nr   r   r  r  r  r3   r3   r4   rq     s   zTestKstatVar.test_bad_argN)re   rf   rg   r\   r   rq   r3   r3   r3   r4   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      t ddddd | _d S Nr~     r  r@  r5   r`   r[   r3   r3   r4   setup_method  r6   zTestPpccPlot.setup_methodc                 C   H   d}t j| jdd|d\}}g d}t|tjdd|d t|| d S )Nr~   r   N)g9%	?gxM _?g";9?g®XZ?g?num)r   	ppcc_plotr`   r	   r-   r  )rR   r  svalsppccppcc_expectedr3   r3   r4   rW     
   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;rC   )r   r  r`   r  r	   )rR   svals1ppcc1svals2ppcc2svals3ppcc3r3   r3   r4   	test_dist  s   
zTestPpccPlot.test_distr  r  c                 C   Z   t  }|d}tj| jddt d || |d}tj| jdd|d t   d S Nr  ir  r  )r  r  r  r   r  r`   delaxesr  rR   r  r%  r3   r3   r4   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   rz   r   r   )rY   rZ   r   r  r`   r[   r3   r3   r4   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  rR  float)rR   r  r  r3   r3   r4   r)    s   zTestPpccPlot.test_emptyN)re   rf   rg   r  rW   r  r-  rK  r  r,  r&  r  r)  r3   r3   r3   r4   r    s    
r  c                   @   rh   )
TestPpccMaxc                 C   s   dg}t ttj|dd d S r   )rY   rZ   r   ppcc_maxrp   r3   r3   r4   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=   rJ   )r   r  r0   r   r  r   r3   r3   r4   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  r~   rJ   )r   r  r0   r  r   )rR   r`   max1max2max3r3   r3   r4   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  r=   rJ   r   r   )r   r  r0   rY   rZ   r  r   r   r3   r3   r4   
test_brack  s   
zTestPpccMax.test_brackN)re   rf   rg   r  r  r  r  r3   r3   r3   r4   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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   rP  r   )
r   r   r0   
boxcox_llfr   r-   r.   r~  rV   r	   )rR   r`   lmbdallfllf_expectedr3   r3   r4   rW     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   r  r  r   r  rC   )r   r   r0   r  listr	   rR   r`   r  r  llf2r3   r3   r4   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   r0   r  r-   vstackr5  r	   r  r3   r3   r4   test_2d_input'  s
   zTestBoxcox_llf.test_2d_inputc                 C      t ttdg  d S ro   )r   r-   isnanr   r  r[   r3   r3   r4   r)  1     zTestBoxcox_llf.test_emptyc                 C   "   g d}t d|}t|d d S )N)g     h@      m@r  g     x@ig#:x1r   r  r	   rR   rS   r  r3   r3   r4   test_gh_68734  s   zTestBoxcox_llf.test_gh_6873c                 C   r  )N)i  i  i  i  i  g:0yE>gl.r  r  r3   r3   r4   test_instability_gh20021<  s   z'TestBoxcox_llf.test_instability_gh20021N)	re   rf   rg   rW   r  r  r)  r  r  r3   r3   r3   r4   r    s    
r  (  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$ i i- iD~ i- i i,4 ib i  i iP0 i) im i	 iR iQ i
 i i c                	   @   s   e Zd Zdd Zdd Zdd Zdd Zd	d
 Zdd Ze	j
dg ddd Zdd Ze	j
dg ddd Zdd Ze	j
deg deejddggdd Ze	j
deg d eg d!eg d"gd#d$ 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 )Nr~   r   r  r@  r   r  r   r   r   r   )
r5   r   r   r	   r-   r.   r  r   r
   rR  )rR   r`   xtr3   r3   r4   test_fixed_lmbdaz  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   rJ   )r   r   r0   r   r   )rR   r  r`   x_invr  r   r3   r3   r4   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 )NrY  r~   r   r@  r  )alphagx@gv[%@r  gxˉEk?g8Bhk @r=   r  r^   r  g\?gx̡&@r"   g7(U@gp:sY@)r-   rA  r   r5   r   r   r	   )rR   rE  r`   r  rl   r3   r3   r4   
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   rY   rZ   r   r   r   r3   r3   r4   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  r[   r3   r3   r4   r)    r6   zTestBoxcox.test_emptyc                 C   s    t t\}}t|ddd d S )NgsHjdrr   rC   r   r   _boxcox_datar	   )rR   r  lamr3   r3   r4   r    s   zTestBoxcox.test_gh_6873bounds)r   r   )r   r   )r   ri  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)r  r  r   minimize_scalarfunr  r3   r4   	optimizer     zBTestBoxcox.test_bounded_optimizer_within_bounds.<locals>.optimizerr  r  r   r   )r   r   r  )rR   r  r  r  r  r3   r  r4   $test_bounded_optimizer_within_bounds  s   (z/TestBoxcox.test_bounded_optimizer_within_boundsc                    sj   t jtd d\}}|d |d f ddi fdd}t jtd |d\}}||ks,J t| d	  d S )
Nr  rd  r   xatolr  c                    s   t j|  ddS )Nr  )r  r  optionsr  r  r  r  r3   r4   r    s   zPTestBoxcox.test_bounded_optimizer_against_unbounded_optimizer.<locals>.optimizerr  r   r  )rR   r  r  r  lmbda_boundedr3   r  r4   2test_bounded_optimizer_against_unbounded_optimizer  s   
z=TestBoxcox.test_bounded_optimizer_against_unbounded_optimizerr  )strr   r   rd  c                 C   sD   t jtdd tjtd |d W d    d S 1 sw   Y  d S )Nz`optimizer` must be a callabler+  r  r-  r   rZ   r   r   r  rR   r  r3   r3   r4   $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 ro   r3   r  r3   r3   r4   r    s   zCTestBoxcox.test_bad_optimizer_value_raises_error.<locals>.optimizerz/return an object containing the optimal `lmbda`r+  r  r  )rR   r  r.  r3   r3   r4   %test_bad_optimizer_value_raises_error  s
   "z0TestBoxcox.test_bad_optimizer_value_raises_errorbad_x)r   ig@r  r   c                 C   sB   d}t jt|d t| W d   dS 1 sw   Y  dS )zHTest boxcox_normmax raises ValueError if x contains non-positive values.z#only positive, finite, real numbersr+  N)r-  r   rZ   r   boxcox_normmax)rR   r  r.  r3   r3   r4   "test_negative_x_value_raises_error  s   "z-TestBoxcox.test_negative_x_value_raises_errorr`   
     L@     x@     4@     @@     d@r  g     @g     <@g     \@g     @r  r  r   r  r  gFq$jgS	#jgGewa$jgVBi$jg[(>2$jc                 C   sV   t jtdd t|\}}tt|sJ W d    d S 1 s$w   Y  d S )NThe optimal lambda isr+  )r-  r5  r6  r   r   r-   r   isfinite)rR   r`   xt_bclam_bcr3   r3   r4   test_overflow  s   
"zTestBoxcox.test_overflowN)re   rf   rg   r  r  r  r  r)  r  r-  rK  rL  r  r  r  r  r-   r   r   r  r	  r3   r3   r3   r4   r  x  s.    
	
	
 
	r  c                
   @   sD  e Zd Zdd Zdd Zdd Zdd Zej	d	g d
ej	dg ddd Z
dd Zdd Zej	dg dg dfdd Zdd Zej	dejg dejdejg dejdejg dejdejg dejdgej	dg dej	d	dgd d! Zej	dg dg dgej	d	dgd"d# Zd$S )%TestBoxcoxNormmaxc                 C   r  Nr~   r   r  r@  r  r[   r3   r3   r4   r    r6   zTestBoxcoxNormmax.setup_methodc                 C      t | j}t|ddd d S )Nm?rB   rC   r   r  r`   r	   rR   r   r3   r3   r4   test_pearsonr     zTestBoxcoxNormmax.test_pearsonrc                 C   s<   t j| jdd}t|ddd t | j\}}t|| d S )Nmler  	.!?rB   rC   )r   r  r`   r	   r   )rR   r   r  maxlog_boxcoxr3   r3   r4   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  rB   rC   r  )rR   
maxlog_allr3   r3   r4   test_all  s   zTestBoxcoxNormmax.test_allr  )r  pearsonrr   r  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  r3   r4   r    r  zITestBoxcoxNormmax.test_bounded_optimizer_within_bounds.<locals>.optimizer)r  r  r   r   )r   r  r`   r-   r   )rR   r  r  r  r   r3   r  r4   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 )
Nr~   rx  i  c                   @   s   e Zd ZdS )z?TestBoxcoxNormmax.test_user_defined_optimizer.<locals>.MyResultN)re   rf   rg   r3   r3   r3   r4   MyResult+  s    r  c                    s6   g }D ]	}| | | q  }t| |_|S r,   )appendr-   argminr`   )r  objsr  rb   r  lmbda_ranger3   r4   r  .  s   z@TestBoxcoxNormmax.test_user_defined_optimizer.<locals>.optimizerr  r   )r   r  r`   r-   ro  r  r	   )rR   r  lmbda_roundedr  lmbda2r3   r  r4   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)r  r  z,`brack` must be None if `optimizer` is givenr+  )g       rP  )r   r  r   r  r`   r-  r   rZ   r  r3   r3   r4   2test_user_defined_optimizer_and_brack_raises_error;  s   
"zDTestBoxcoxNormmax.test_user_defined_optimizer_and_brack_raises_errorr`   r  )gx	 ?gN~jh ?g{ ?gXkI ?g}9" ?c                 C   s   d}t jt|d tj|dd}W d    n1 sw   Y  tt||	 s-J t
tjjd }|dkr?t|nt|}t||}t||t|  d S )NzThe optimal lambda is...r+  r  r  r  r   )r-  r5  r6  r   r  r-   r  r   r   r   finfofloat64maxr  r	   sign)rR   r`   r.  r  ymaxx_treme	y_extremer3   r3   r4   r	  K  s   zTestBoxcoxNormmax.test_overflowc                 C   sD   t jtdd tj| jdd W d    d S 1 sw   Y  d S )Nz `ymax` must be strictly positiver+  r   )r(  )r-  r   rZ   r   r  r`   r[   r3   r3   r4   test_negative_ymaxY  s   "z$TestBoxcoxNormmax.test_negative_ymaxr   )g	i@g     `h@gfffffh@rX  gi@)gKH9KH9r,  r,  r,  r,  r(  )g    _Bgꌠ9Y>)FNr  c                 C   s   t jtddF |d urd|ini }tj|fd|i|}t|t|g}ttt	||}|d u r>t
|jjd }t||dd W d    d S 1 sPw   Y  d S )Nr  r+  r(  r  r  r   rC   )r-  r5  r6  r   r  r-   r  r&  absr   r$  r   r	   )rR   r`   r(  r  kwarglmbr)  ymax_resr3   r3   r4   'test_user_defined_ymax_input_float64_32]  s   "z9TestBoxcoxNormmax.test_user_defined_ymax_input_float64_32c                 C   s   t j|t jd}t j|t jd}tjtdd tj||d W d    n1 s)w   Y  tj||d tj|t j	|d}tj|t j	|d}t
||dd d S )Nr   r  r+  r  )r(  r  rx  rC   )r-   r  float32r%  r-  r5  r6  r   r  rH  r	   )rR   r`   r  x_32x_64lmb_32lmb_64r3   r3   r4   test_user_defined_ymax_infz  s   	z,TestBoxcoxNormmax.test_user_defined_ymax_infN)re   rf   rg   r  r  r  r  r-  rK  rL  r  r"  r#  r	  r+  r-   r   r%  r2  r1  r7  r3   r3   r3   r4   r
    sP    




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   r  r  r  r[   r3   r3   r4   r    r6   zTestBoxcoxNormplot.setup_methodc                 C   r  )Nr~   r  r   r  )g!X4}?g΁i?g-	15?gW$?g\ܱ{?r  )r   boxcox_normplotr`   r	   r-   r  )rR   r  lmbdasr  r  r3   r3   r4   rW     r  zTestBoxcoxNormplot.test_basicr  r  c                 C   r  r  )r  r  r  r   r9  r`   r  r  r  r3   r3   r4   r&    r  z"TestBoxcoxNormplot.test_plot_kwargc                 C   s.   t ttj| jdd t ttjddgdd d S )Nr   r   r   )rY   rZ   r   r9  r`   r[   r3   r3   r4   r    s   z&TestBoxcoxNormplot.test_invalid_inputsc                 C   s   t tg ddjdk d S rk  )r   r   r9  r   r[   r3   r3   r4   r)    r  zTestBoxcoxNormplot.test_emptyN)re   rf   rg   r  rW   r-  rK  r  r,  r&  r  r)  r3   r3   r3   r4   r8    s    
r8  c                   @   r7   )TestYeojohnson_llfc                 C   r  )Nr   r   r  r  r   r  rC   )r   r   r0   yeojohnson_llfr  r	   r  r3   r3   r4   r    r  z"TestYeojohnson_llf.test_array_likec                 C   r  r  )r   r   r0   r<  r-   r  r5  r	   r  r3   r3   r4   r    s
   z TestYeojohnson_llf.test_2d_inputc                 C   r  ro   )r   r-   r  r   r<  r[   r3   r3   r4   r)    r  zTestYeojohnson_llf.test_emptyN)re   rf   rg   r  r  r)  r3   r3   r3   r4   r;    s    r;  c                   @   s  e Zd Zdd Zejdg ddd Zdd Zd	d
 Z	ejde
je
jgdd Zejde
je
je
je
jgdd Zdd Zejde
deddge
deddge
ded dge
dededed dggdd Zejde
g de
g de
g dgdd Zejde
g de
g dgejdg d ejd!d"d#gd$d% Zejde
g d&e
g d'e
g d(gejd!d"d#gejd)d*d+g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  r~   r   r@  r   r   r  r   r   r{   )	r-   rA  r   r5   r   r   
yeojohnsonr	   r.   )rR   rE  r`   r  posnegr3   r3   r4   r    sL   


 $zTestYeojohnson.test_fixed_lmbdar  )r   rd  r  r   c                 C   s   dd }d}t jd t jjdd|d}|||}t|\}}t||dd	 tdt j	|| | d
d td|
 dd td| dd d S )Nc                 S   s   t j| j| jd}| dk}t|t dk r"t | | d ||< nt | | | d d| d ||< t|d t dkrZdt d|  | |   d dd|   || < |S dt | |    || < |S )Nr   r   r   r   r   )r-   rR  r  r   r-  spacingexppower)r`   r  r  r?  r3   r3   r4   _inverse_transform  s   $
z:TestYeojohnson.test_lmbda_None.<locals>._inverse_transformi N  r  r   r   )r   r   r   rx  r  r   rJ   )r-   rA  r[  rr  r   r>  r	   r   linalgr   rT   rV   )rR   r  rD  	n_samplesr`   r  r  r   r3   r3   r4   r    s   
zTestYeojohnson.test_lmbda_Nonec                 C   r  r  )r   r   r>  r  r[   r3   r3   r4   r)  	  r6   zTestYeojohnson.test_emptyc                 C   sD   t jjdddd}t |\}}t t|\}}t||dd d S )Nr   r   r  r  r  rC   )r   r   r0   r>  r  r	   )rR   r`   xt1r  xt2r3   r3   r4   r  !	  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 )Nr:   r   z>Yeo-Johnson transformation is not defined for complex numbers.r+  )r-   r_   r-  r   rZ   r   r>  )rR   r   r`   err_msgr3   r3   r4   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  rC   )r-   r_   r%  r   r>  r	   )rR   r   x_intx_floatxt_int	lmbda_intxt_floatlmbda_floatr3   r3   r4   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)\¿+ArT  g(\^@Ag    RArS  g    #Ag\µ=Ag
ףNArR  gp=oHAg    6bAg{csAg)\tmhAg/BAg   '|Ag(\wipAg    ݃hAgQlBAgףp @Ar   rB   rC   )r-   r   r   r>  r   r	   )rR   r`   xt_yeolam_yeoxt_boxlam_boxr3   r3   r4   test_input_high_variance8	  s
   z'TestYeojohnson.test_input_high_variancer`   r   r   rP  rH        c                 C   sB   t jtdd t|\}}W d    d S 1 sw   Y  d S )Nz Yeo-Johnson input must be finiter+  )r-  r   rZ   r   r>  )rR   r`   rU  rV  r3   r3   r4   test_nonfinite_inputF	  s   "z#TestYeojohnson.test_nonfinite_inputr  r  r  c                 C   s   dd }t jddA t|\}}tj|d t||dd\}}t t |s+J t t |s5J t||dd	 t||d
d	 W d    d S 1 sNw   Y  d S )Nc                 S   s&   t j| | |dd}t  }||_|S )Ng`sbO>)xtol)r   	fminboundOptimizeResultr`   )r  rV  outresultr3   r3   r4   r  \	  s   z/TestYeojohnson.test_overflow.<locals>.optimizerraiser   r   )rV  r  rB   rC   r  )	r-   r   r   r>  r   r   r  rU   r	   )rR   r`   r  rU  rV  rW  rX  r3   r3   r4   r	  P	  s   
"zTestYeojohnson.test_overflowr   )r   r  g3#I9gu?j/ gnFgZbtir'  r   r   c                 C   s   t jdd6 t|| | \}}t t || t |ks#J t |s*J t t |s4J W d    d S 1 s?w   Y  d S )Nra  r   )r-   r   r   r>  r   r'  r  rU   )rR   r`   r   r'  rU  rV  r3   r3   r4   #test_overflow_underflow_signed_datak	  s   	""z2TestYeojohnson.test_overflow_underflow_signed_data)r   r   r   r{   )r   r   r   r  )r   r   r   r  Nr  c           
      C   s   t jdd^ || }|t j}tj||d}tj||d}tj||d}tj||d}	t t |t |ks<J t 	|sCJ t 	t 
|sMJ ||ksSJ t ||	ks\J W d    d S 1 sgw   Y  d S )Nra  r   r  r  )r-   r   astyper%  r   yeojohnson_normmaxr>  r   r'  r  rU   )
rR   r`   r'  r  rK  rL  lam_yeo_int
xt_yeo_intlam_yeo_floatxt_yeo_floatr3   r3   r4   test_integer_signed_dataz	  s   "z'TestYeojohnson.test_integer_signed_data)re   rf   rg   r  r-  rK  rL  r  r)  r  r-   	complex64
complex128rJ  int8uint8int16int32rQ  rY  r   r  r[  r	  rb  ri  r3   r3   r3   r4   r=    sN    /
$

 

	r=  c                   @   r7   )TestYeojohnsonNormmaxc                 C   r  r  r  r[   r3   r3   r4   r  	  r6   z"TestYeojohnsonNormmax.setup_methodc                 C   r  )Ng?rB   rC   )r   rd  r`   r	   r  r3   r3   r4   r  	  r  zTestYeojohnsonNormmax.test_mlec                 C   s*   g d}t |}tj|dddsJ d S )N)gffffff@g r   rP  ffffff?g333333@rW  gffffff@g?g@rU  rQ  g"@r  g      gzG?r  r  )r   rd  r-   allclose)rR   r`   r  r3   r3   r4   test_darwin_example	  s   
z)TestYeojohnsonNormmax.test_darwin_exampleN)re   rf   rg   r  r  rs  r3   r3   r3   r4   rp  	  s    rp  c                   @   sB  e Zd Zejdejdfejdfej	dfgdd Z
dd Zejd	ejejfejejfej	ejfgd
d Zdd Zdd Zdd Zejdejdfejdfej	dfgdd Zejdejejej	gdd Zejdejejej	gdd Zejdejejdddfejejdddfej	ejdddfgd d! Zejdejd"eg d#ed$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  r~   r   r  r   ^  h  r  r  rC   r-   r   r	   rR   	test_funcr#  r`   r3   r3   r4   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)r  r%  rz  rw     g     4@g3333333@ry  rz  r   rC   rB  rP  r  )r-   r   rT   r   circmeanr	   pirU   circvarrV   circstd)rR   r`   M1M2V1V2S1S2r3   r3   r4   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{  )rR   r}  
numpy_funcr`   circstatrr  r3   r3   r4   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 )Nrv  _  r=   r}   `  r;   ]  ie  r;   r>   if  r}   id  ry  rz  rM   rC   r   r  rw  c                       g | ]}t j | d dqS ry  rz  r   r  rw   rc   r`   r3   r4   rx   	      z4TestCircFuncs.test_circmean_axis.<locals>.<listcomp>r   c                    &   g | ]}t j d d |f ddqS Nry  rz  r  r  r  r3   r4   rx   	     & )r-   r   r   r  ravelr	   r  r  )rR   r  r  r3   r  r4   test_circmean_axis	  s   
z TestCircFuncs.test_circmean_axisc                    r  )Nrv  r  r  ry  rz  dy=rC   r   r  c                    r  r  r   r  r  r  r3   r4   rx   	  r  z3TestCircFuncs.test_circvar_axis.<locals>.<listcomp>r   c                    r  r  r  r  r  r3   r4   rx   	  r  )r-   r   r   r  r  r	   r  r  )rR   r  r  r3   r  r4   test_circvar_axis	     
zTestCircFuncs.test_circvar_axisc                    r  )Nrv  r  r  ry  rz  r  rC   r   r  c                    r  r  r   r  r  r  r3   r4   rx   	  r  z3TestCircFuncs.test_circstd_axis.<locals>.<listcomp>r   c                    r  r  r  r  r  r3   r4   rx   	  r  )r-   r   r   r  r  r	   r  r  )rR   r  r  r3   r  r4   test_circstd_axis	  r  zTestCircFuncs.test_circstd_axisc                 C   s"   g d}t ||dd|dd d S ru  )r	   r|  r3   r3   r4   test_circfuncs_array_like	  s   z'TestCircFuncs.test_circfuncs_array_liker}  c                 C   s   t t|g  d S r,   )r   r-   r  )rR   r}  r3   r3   r4   r)  
  r  zTestCircFuncs.test_emptyc                 C   s.   ddddddt jg}tt ||dd d S )	Nrw  r~   r   r  r   rx  ry  rz  r-   r   r   r  rR   r}  r`   r3   r3   r4   test_nan_propagate
  s   z TestCircFuncs.test_nan_propagateg5:v@gfPb?rk  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)rw  r~   r   r  r   rx  r   r  r=   r}   r  r;   r  r   ry  r  r   r  rC   )r-   r   r   keysr   r  r	   r   rR   r}  r#  r`   rw  r_  r3   r3   r4   test_nan_propagate_array
  s   

z&TestCircFuncs.test_nan_propagate_arraygrQvv@)g     v@rT  rQ  g     8v@r  g     u@g5@v?g2>Bjv@gG2?)gaF+?z?r  gA ~@碲?r  rB  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 )Nrw  r~   r   r  r   rx  r  r=   r}   r  r;   r  ry  omit)r  
nan_policyrw  r  rC   r   )r-   r   r   r  r	   r   r  r  r3   r3   r4   test_nan_omit_array&
  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 )Nrw  r~   r   r  r   rx  ry  r  r  r  r  rC   )r-   r   r	   r|  r3   r3   r4   test_nan_omitE
  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  r3   r3   r4   test_nan_omit_allN
  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  rw  r   )r-   r   r   r   r  r   r   )rR   r}  r`   r_  r3   r3   r4   test_nan_omit_all_axisT
  s   z$TestCircFuncs.test_nan_omit_all_axisr`   rw  r~   r  r   rx  r  r=   r}   r  r;   r  c                 C      t t||ddd d S )Nry  ra  r  rY   rZ   r  r3   r3   r4   test_nan_raise]
     zTestCircFuncs.test_nan_raisec                 C   r  )Nry  foobarr  r  r  r3   r3   r4   test_bad_nan_policyf
  r  z!TestCircFuncs.test_bad_nan_policyc                 C   s$   d}|}t |}t||dd d S )Nr   r   rC   )r   r  r	   )rR   r`   r  r  r3   r3   r4   test_circmean_scalaro
  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   rd  )r   r  r-   r_   r  r   rI  r3   r3   r4   test_circmean_rangeu
  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 )Nr  r   rm  r   rB  rz  g     @e@gLwqA?r  rC   g)#p_4@)r-   r   r
   r   r  r	   r  r  r   r3   r3   r4   test_circfuncs_uint8|
  s   z"TestCircFuncs.test_circfuncs_uint8N)$re   rf   rg   r-  rK  rL  r   r  r  r  r~  r  r-   rT   rU   rV   r  r  r  r  r  r)  r  r   r  r   r  r  r  r  r  r  r  r  r  r  r3   r3   r3   r4   rt  	  s    








	



rt  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 Nrz   rY   rZ   r   median_testr[   r3   r3   r4   test_bad_n_samples
  s   z!TestMedianTest.test_bad_n_samplesc                 C   s   t ttjg g d d S r  r  r[   r3   r3   r4   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   tiesr  r[   r3   r3   r4   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  r[   r3   r3   r4   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 )Nrz   r}   r~   r  r  r  r[   r3   r3   r4   test_bad_ties
     
zTestMedianTest.test_bad_tiesc                 C   r  )Nrz   r}   r~   r  r  r  r[   r3   r3   r4   r  
  r  z"TestMedianTest.test_bad_nan_policyc                 C   r  )Nrz   r}   r~   r  )r  )rY   rf  r   r  r[   r3   r3   r4   rg  
  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 )Nrz   rP  r   r   r   )r   r  r
   r   )rR   r`   r  r[  rc  medtblr3   r3   r4   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  r~   r:   )r=   r>   r;   )r   r   r{   )r}   r   r   r   r  )r}   r   r   r  )r   r   r{   )r   r  r
   )rR   r`   r  zr[  rc  r  r  r3   r3   r4   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   )r}   r~   r:   	propagater  r  g     ?gإvao?rR  r   ra  )	r-   r   r   r  r
   r	   r   rY   rZ   )rR   r`   r  mt1r   rc  r  r  r3   r3   r4   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 )
Nr|   )r   r}   r:   r>   r}   r   r   r   )lambda_FrP  )r   r  r
   chi2_contingencyr	   )rR   r`   r  r[  rc  r  r  exp_statexp_pdofer3   r3   r4   rW   
  s(   







zTestMedianTest.test_basicrP  FTc                 C   s>   g d}g d}t j|||d}t|j|j|j|jf| d S )Nrz   r  )r   r  r
   rO   r   r`  table)rR   rP  r`   r  rb   r3   r3   r4   r  
  s   zTestMedianTest.test_resultN)re   rf   rg   r  r  r  r  r  r  rg  r  r  r  rW   r-  rK  rL  r  r3   r3   r3   r4   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@rS  )	gfffffP@g,Q@gfffffQ@gfffffT@g     S@g     @R@g33333SQ@gffffffM@g33333I@r   rv  r}   )gHP?g&S:g[<)r-   deg2radr   stackcossinr   directional_statsmean_directionro  r	   )rR   declinclrS   dirstatsdirectional_meanmean_roundedreference_meanr3   r3   r4   "test_directional_stats_correctness	  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   rv  )	callabler-   r  r  r  r   r  mean_resultant_lengthr	   )rR   anglesr   rS   rb   r3   r3   r4   'test_directional_stats_2d_special_cases  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   rv  r   )r-   rA  rB  r  r  r  r  r   r  r  arctan2r  r	   r  r  )
rR   rE  testdatatestdata_vectorr  r  directional_mean_angler  directional_varcircular_varr3   r3   r4   test_directional_stats_2d(  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   r   rv  )r-   r   tiler   r  r	   r  )rR   rS   
full_arrayr#  r  r3   r3   r4    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  )rR   rS   
data_arrayrb   r   r3   r3   r4   )test_directional_stats_list_ndarray_inputI  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)r~   zIsamples must at least be two-dimensional. Instead samples has shape: (5,)r+  )	r-   r   r-  r   rZ   reescaper   r  )rR   rS   r.  r3   r3   r4   test_directional_stats_1d_errorS  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?rZ  r   T)	normalizer   )rw  keepdimsF)	r-   r   r   r  rE  r   r	   r  r  )rR   rS   rb   normalized_datar   r3   r3   r4    test_directional_stats_normalize[  s   
z5TestDirectionalStats.test_directional_stats_normalizeN)re   rf   rg   r  r-  rK  rL  r-   r  r  r  r  r  r  r  r3   r3   r3   r4   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  rq  )r  rq  r   r  rq  zUnrecognized `method` 'YAK')r  rq  rj   YAKr  z#`axis` must be an integer or `None`r&  rv  r  )r-  r   rZ   r   false_discovery_controlr-   r   r  r3   r3   r4   test_input_validationl  s*   "z$TestFDRControl.test_input_validationc                 C   s,   g d}t |}g d}t||dd d S )N)r  g;On?g~jt?gI+?g&1?gB`"۹?gv?S㥛?);On?r  I+?r  gˡE?gHzG?r
  r
  r  r  )r   r  r	   )rR   psrb   r   r3   r3   r4   test_against_TileStats  s   
z%TestFDRControl.test_against_TileStatscase)
go?gQ]
Y?ghD@?u?D?gn@t?g=T	[ے?g=!s?r  r  g	L?bh)
glߢ?gq?g.0?R]D?g)<Gh?g$͂?g2-p?r  r  g]:?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=   r{   r  rB   r  )r-   rA  rB  r   
loguniformr0   r  r	   )rR   r  r   r  rE  r  rb   r3   r3   r4   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  )r{   r}   r~   r@  rv  )	r-   rA  rB  r   r  r0   r  r  r
   )rR   rE  r  rb   r   r3   r3   r4   test_axis_None  s
   zTestFDRControl.test_axis_Nonerw  )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-   rA  rB  r   r  r0   r  apply_along_axisr
   )rR   rw  rE  r  rb   r   r3   r3   r4   	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  r[   r3   r3   r4   ru    s   zTestFDRControl.test_edge_casesN)re   rf   rg   r	  r  r-  rK  rL  r  r  r  ru  r3   r3   r3   r4   r  k  s"    

r  )Wr   r  	functoolsr   numpyr-   numpy.randomr   numpy.testingr   r   r   r   r   r	   r
   r   r-  r   rY   r  scipyr   r   r   scipy.stats._morestatsr   r   r   common_testsr   
_hypotestsr   r   scipy.stats._binomtestr   scipy.stats._distr_paramsr   dict
matplotlibrcParamsmatplotlib.pyplotpyplotr  r,  	Exceptionr*  r+  r,  r-  r.  r/  r0  r1  r2  r3  r5   r8   ri   r   r   rM  r  r(  rC  rl  r  r  r  r  r-  rt  r  r  r  r  r  r  r
  r8  r;  r=  rp  rt  r  r  r  r3   r3   r3   r4   <module>   s   (
!~  P E oG .^ y6%.3  # I e d