o
    GeK                    @   s  d Z ddlZddlZddlmZ ddlm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mZmZ ddlZddlmZ ddlm  mZ ddlmZmZmZmZm Z  ddlZ!dd	l"m#Z# dd
l$m%Z% ddl&m'Z' ddl(m'  m)Z) ddl*m'  m+Z+ ddl,m-Z- ddl.m/Z/ ddl0m1Z1 ddl2m3Z3 ddl4m5Z5 ddl6m7Z7 ddl8m9Z9 ddl:m;Z; ddl<m=Z=m>Z> ddl<m?Z?m@Z@ 	 eg deAZBeg deAZCeg deAZDeg deAZEeg deAZFeg deAZGeg deAZHG dd dZIG dd  d ZJG d!d" d"ZKG d#d$ d$ZLG d%d& d&ZMd'd( ZNd)d* ZOd+d, ZPd-d. ZQd/d0 ZRd1d2 ZSd3d4 ZTG d5d6 d6ZUG d7d8 d8ZVd9d: ZWd;d< ZXd=d> ZYG d?d@ d@ZZG dAdB dBZ[G dCdD dDZ\G dEdF dFZ]G dGdH dHZ^G dIdJ dJZ_G dKdL dLZ`dMdN ZaG dOdP dPZbG dQdR dRZcG dSdT dTZddUdV ZeedWg dXZfefg dYddddZd[dZe!gd\ d]e!gd^   d[d_e!gd` d_e!gda   dbdXefg dYg dcddddd[dZe!gd` d_e!gd\  d_e!gde   d[d[e!gd\ dfe!gd`  d[e!gdg   dhdXefg dYd_dddZd[dZe!gd\ d]e!gd^   d[d_e!gd` d_e!gda   dbdXefg dig didddddddXgZhefg ddddddddXefe!g g g gjidddg djg djg djg djdXefe!g g g gdddg g g g dXgZjG dkdl dlZkdmdn Zlejmndodpe!jofdqe!jpfgdrds Zqdtdu Zrdvdw Zsdxdy ZtG dzd{ d{ZuG d|d} d}ZvG d~d dZwdd Zxdd Zydd Zzejmnde!{ddfe!{ddfgdd Z|dd Z}dddZ~dd ZG dd dZG dd dZG dd dZdd Zdd Zdd Zdd Zejmnde!{ddfe!{ddfgdd Zdd Zdd Zdd Zdd Zdd ZG dd dZdd ZG dd dZG dd dZdd Zdd ZG dd dZdd Zdd ZdddZdddÄZG ddń dŃZG ddǄ dǃZG ddɄ dɃZdd˄ Zdd̈́ Zddτ ZG ddф dуZG ddӄ dӃZG ddՄ dՃZG ddׄ d׃ZG ddل dكZG ddۄ dۃZG dd݄ d݃ZG dd߄ d߃ZG dd dZG dd dZG dd dZG dd dZG dd dZG dd dZG dd dZdS )z Test functions for stats module

    WRITTEN BY LOUIS LUANGKESORN <lluang@yahoo.com> FOR THE STATS MODULE
    BASED ON WILKINSON'S STATISTICS QUIZ
    https://www.stanford.edu/~clint/bench/wilk.txt

    Additional tests by a host of SciPy developers.
    N)
namedtuple)product)deepcopy)
assert_assert_equalassert_almost_equalassert_array_almost_equalassert_array_equalassert_approx_equalassert_allcloseassert_warnssuppress_warningsassert_string_equal)raises)arrayarangefloat32float64power)check_random_state)special)kolmogn)FuncData)binom   )check_named_results)matrix)cdist)distcont)NumpyVersion)_broadcast_concatenate#AlexanderGovernConstantInputWarning)_calc_t_stat_data_partitions)	r                        	   )	r   r   r   r   r   r   r   r   r   )	iiiiiiiii)	g~?g<?gEk?g?ge(?gq?g?g8C?gG?)	g   mBg   }Bg  yӅBg   Bg  @0Bg  yӕBg  BwBg   Bg   ^B)	-q=g-=gAfc=g-=gdy=gAfc=gYLɞ=g-=gSSʣ=)	      ?      ?      @      @      @      @      @      @      !@c                   @   sJ   e Zd ZeejjZdd Zdd Z	dd Z
dd Zd	d
 Zdd ZdS )TestTrimmedStatsc                 C   sP   t tdd}t|d| jd t jtddd}t jtd d}t||| jd d S )Nr$   r*   TT      @significant)FFlimits	inclusiver=   )statstmeanXr
   dprec)selfyy1y2 rH   f/var/www/html/SPIRAL.web.tool/spiral_venv/lib/python3.10/site-packages/scipy/stats/tests/test_stats.py
test_tmeanH   s
   zTestTrimmedStats.test_tmeanc                 C   s  t jtddd}t|d| jd t jtd d}t|tjdd| jd td	td
d}t j|d d}t||jdd| jd t j|dd}t	|d t
dddd t j|dd}t	|d t
dddd t |dd d f }t|d| jd t =}|td t j|dddd}t|d d| jd t j|dddd}t|d d| jd t|d t
j W d    d S 1 sw   Y  d S )Nr7   r8   r<   g@r:   r?   r   ddof?   dtype)r+   r)   axisr   )r   r)   g     v@r*   decimal)r   r+   g㪪@r%   g@z"Degrees of freedom <= 0 for slice.)r   r'   )r=   rQ   r>   r/   r   r(   )r@   tvarrB   r
   rC   varr   r   reshaper   npfullr   recordRuntimeWarningr   nan)rD   rE   x_2dsuprH   rH   rI   	test_tvarP   s*   "zTestTrimmedStats.test_tvarc                 C   sH   t tdd}t|d| jd t jtd d}t|tjdd| jd d S )Nr7   r8   gBĆ/H@r:   r?   r   rK   )r@   tstdrB   r
   rC   stdrD   rE   rH   rH   rI   	test_tstdp   s   zTestTrimmedStats.test_tstdc              	   C   s  t tdd td}t t|d t tj|ddd t tj|dddd |d}t tj|dddd	dg t tj|dd
g d t tj|d d
d td}tj|d< t [}|t	d t t|tj t tj|ddd t
ttj|dd t
ttj|dd d}t
t|d tj|dd W d    n1 sw   Y  W d    d S W d    d S 1 sw   Y  d S )Nr&   
   r   )
lowerlimitF)re   r>   r   r'   r$   r$   rP   )r   r$   r&   r(   r*         $@r+   invalid value*omit
nan_policy        raisefoobarz'propagate', 'raise', 'omit'matchfoo)r   r@   tminrX   r   rW   r\   r   rZ   r[   assert_raises
ValueError)rD   xr^   msgrH   rH   rI   	test_tminw   s0   



"zTestTrimmedStats.test_tminc                 C   s:  t tdd td}t t|d t tj|ddd t tj|dddd |d}t tj|ddddd	g t tj|d
dg d t tj|d dd td}tj|d< t 4}|t	d t t|tj t tj|ddd t
ttj|dd t
ttj|dd W d    d S 1 sw   Y  d S )Nr&   rd   r+   )
upperlimitF)rx   r>   r*   rf   r)   r   rP   r   r%   r'   r)   r+   rg   r(   rh   ri   rj         "@rm   rn   )r   r@   tmaxrX   r   rW   r\   r   rZ   r[   rs   rt   )rD   ru   r^   rH   rH   rI   	test_tmax   s$   



"zTestTrimmedStats.test_tmaxc                 C   sn   t jtddd}tg d}t||jddt|j | j	d tt jtdd	gd
t jtd d
| j	d d S )N)r%   r*   )FTr<   )r&   r'   r(   r)   r*   r   rK   r:   rd   r?   )
r@   tsemrB   rX   r   r
   ra   sqrtsizerC   )rD   rE   y_refrH   rH   rI   	test_tsem   s   
zTestTrimmedStats.test_tsemN)__name__
__module____qualname__rX   finfor   	precisionrC   rJ   r_   rc   rw   r|   r   rH   rH   rH   rI   r6   D   s     r6   c                   @      e Zd ZdZdd Zdd Zdd Zdd	 Zd
d Zdd Z	dd Z
dd Zdd Zdd Zdd Zdd Zdd Zdd Zdd Zd d! Zd"d# Zd$d% Zd&d' Zd(d) Zd*d+ Zd,d- Zd.d/ Zd0d1 Zd2d3 Zd4d5 Zd6d7 Zd8d9 Zd:d; Z d<d= Z!d>d? Z"d@dA Z#dBdC Z$dDdE Z%dFS )GTestCorrPearsonraE   W.II.D. Compute a correlation matrix on all the variables.

        All the correlations, except for ZERO and MISS, should be exactly 1.
        ZERO and MISS should have undefined or missing correlations with the
        other variables.  The same should go for SPEARMAN correlations, if
        your program has them.
    c                 C   "   t tt}|d }t|d d S Nr         ?)r@   pearsonrrB   r
   rD   rE   rrH   rH   rI   test_pXX      zTestCorrPearsonr.test_pXXc                 C   "   t tt}|d }t|d d S r   )r@   r   rB   BIGr
   r   rH   rH   rI   
test_pXBIG   r   zTestCorrPearsonr.test_pXBIGc                 C   r   r   )r@   r   rB   LITTLEr
   r   rH   rH   rI   test_pXLITTLE   r   zTestCorrPearsonr.test_pXLITTLEc                 C   r   r   )r@   r   rB   HUGEr
   r   rH   rH   rI   test_pXHUGE   r   zTestCorrPearsonr.test_pXHUGEc                 C   r   r   )r@   r   rB   TINYr
   r   rH   rH   rI   test_pXTINY   r   zTestCorrPearsonr.test_pXTINYc                 C   r   r   )r@   r   rB   ROUNDr
   r   rH   rH   rI   test_pXROUND   r   zTestCorrPearsonr.test_pXROUNDc                 C   r   r   )r@   r   r   r
   r   rH   rH   rI   test_pBIGBIG   r   zTestCorrPearsonr.test_pBIGBIGc                 C   r   r   )r@   r   r   r   r
   r   rH   rH   rI   test_pBIGLITTLE   r   z TestCorrPearsonr.test_pBIGLITTLEc                 C   r   r   )r@   r   r   r   r
   r   rH   rH   rI   test_pBIGHUGE   r   zTestCorrPearsonr.test_pBIGHUGEc                 C   r   r   )r@   r   r   r   r
   r   rH   rH   rI   test_pBIGTINY   r   zTestCorrPearsonr.test_pBIGTINYc                 C   r   r   )r@   r   r   r   r
   r   rH   rH   rI   test_pBIGROUND   r   zTestCorrPearsonr.test_pBIGROUNDc                 C   r   r   )r@   r   r   r
   r   rH   rH   rI   test_pLITTLELITTLE   r   z#TestCorrPearsonr.test_pLITTLELITTLEc                 C   r   r   )r@   r   r   r   r
   r   rH   rH   rI   test_pLITTLEHUGE   r   z!TestCorrPearsonr.test_pLITTLEHUGEc                 C   r   r   )r@   r   r   r   r
   r   rH   rH   rI   test_pLITTLETINY   r   z!TestCorrPearsonr.test_pLITTLETINYc                 C   r   r   )r@   r   r   r   r
   r   rH   rH   rI   test_pLITTLEROUND   r   z"TestCorrPearsonr.test_pLITTLEROUNDc                 C   r   r   )r@   r   r   r
   r   rH   rH   rI   test_pHUGEHUGE  r   zTestCorrPearsonr.test_pHUGEHUGEc                 C   r   r   )r@   r   r   r   r
   r   rH   rH   rI   test_pHUGETINY
  r   zTestCorrPearsonr.test_pHUGETINYc                 C   r   r   )r@   r   r   r   r
   r   rH   rH   rI   test_pHUGEROUND  r   z TestCorrPearsonr.test_pHUGEROUNDc                 C   r   r   )r@   r   r   r
   r   rH   rH   rI   test_pTINYTINY  r   zTestCorrPearsonr.test_pTINYTINYc                 C   r   r   )r@   r   r   r   r
   r   rH   rH   rI   test_pTINYROUND  r   z TestCorrPearsonr.test_pTINYROUNDc                 C   r   r   )r@   r   r   r
   r   rH   rH   rI   test_pROUNDROUND  r   z!TestCorrPearsonr.test_pROUNDROUNDc              	   C   sH   t d}t||\}}t|ddd t|dtdtd d d S )N      @r   V瞯<atolrl   r$   r   r@   r   r   rX   r   spacingrD   ar   probrH   rH   rI   test_r_almost_exactly_pos1#  s   "z+TestCorrPearsonr.test_r_almost_exactly_pos1c              	   C   sJ   t d}t|| \}}t|ddd t|dtdtd d d S )Nr         r   r   rl   r$   r   r   r   rH   rH   rI   test_r_almost_exactly_neg1,  s   "z+TestCorrPearsonr.test_r_almost_exactly_neg1c                 C   sJ   t g d}t g d}t||\}}t|tdd  t|d d S )Nr}   r   r   )r   r   r%   r%   r$   UUUUUU?)r   r@   r   r
   rX   r   )rD   r   br   r   rH   rH   rI   
test_basic5  s
   zTestCorrPearsonr.test_basicc                 C   s`   t tj! tg dg d\}}t|tj t|tj W d    d S 1 s)w   Y  d S N)MbX?r   r   )grh|?gv/?gsh|??)r   r@   PearsonRConstantInputWarningr   r   rX   r\   rD   r   prH   rH   rI   test_constant_input>  s
   "z$TestCorrPearsonr.test_constant_inputc                 C   sl   dddt d g}ddddt d  g}ttj t||\}}W d    d S 1 s/w   Y  d S )Nr$   r%   r(   )rX   r   r   r@    PearsonRNearConstantInputWarningr   rD   ru   rE   r   r   rH   rH   rI   test_near_constant_inputF  s
   "z)TestCorrPearsonr.test_near_constant_inputc                 C   s8   g d}g d}t ||\}}t|d t|d d S )N)gy)r?gxd{s?gnp?g$9"o?ge =:k?)goȟg`
,gzg2l?g>??'ge;E?g3R?r@   r   r   r   rH   rH   rI   test_very_small_input_valuesO  s
   
z-TestCorrPearsonr.test_very_small_input_valuesc                 C   sH   dt g d }dt d }t||\}}t|d t|d d S )NgY)	kR)r   r   r   r   r   r   r   r)   gLXz?g͗~-?)rX   r   r   r@   r   r   r   rH   rH   rI   test_very_large_input_values\  s
   
z-TestCorrPearsonr.test_very_large_input_valuesc                 C   sD   t g d}t g d}t||\}}t|d t|d d S )N)g7	igNig_b4igZbi)gDig<'(½igmQiZbtig*D{?gݣ?)rX   r   r@   r   r   r   rH   rH   rI   !test_extremely_large_input_valuesj  s
   
z2TestCorrPearsonr.test_extremely_large_input_valuesc                 C   s0   t ddgddg\}}t|d t|d d S )Nr   r$   r%   r'   r@   r   r   r   rH   rH   rI   test_length_two_pos1w     
z%TestCorrPearsonr.test_length_two_pos1c                 C   s0   t ddgddg\}}t|d t|d d S )Nr$   r   r%   r'   r}   r   r   rH   rH   rI   test_length_two_neg2~  r   z%TestCorrPearsonr.test_length_two_neg2c                 C   sp   g d}g d}t ||\}}t|d t|d g d}g d}t ||\}}t|d t|dd	d
 d S )Nr   r$   r%   r&   )r   r   r-   r   g?g+?r   r$   r%   )r'   ir   rl   Hz>r   r   r   rH   rH   rI   test_more_basic_examples  s   


z)TestCorrPearsonr.test_more_basic_examplesc                 C   s$   g d}ddg}t ttj|| d S )Nr   r&   r'   rs   rt   r@   r   rD   ru   rE   rH   rH   rI   test_unequal_lengths  s   z%TestCorrPearsonr.test_unequal_lengthsc                 C   s    dg}dg}t ttj|| d S Nr   r$   r   r   rH   rH   rI   	test_len1  s   zTestCorrPearsonr.test_len1N)&r   r   r   __doc__r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   rH   rH   rH   rI   r      sH    				r   c                   @   sP   e Zd 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S )TestFisherExacta  Some tests to show that fisher_exact() works correctly.

    Note that in SciPy 0.9.0 this was not working well for large numbers due to
    inaccuracy of the hypergeom distribution (see #1218). Fixed now.

    Also note that R and SciPy have different argument formats for their
    hypergeometric distribution functions.

    R:
    > phyper(18999, 99000, 110000, 39000, lower.tail = FALSE)
    [1] 1.701815e-09
    c                 C   s  t j}|ddgddggd }t|ddd |d	d
gddggd }t|ddd |d
dgdd
ggd }t|ddd |ddgddggd }t|ddd |ddgddggd }t|ddd |ddgddggd }t|ddd |ddgddggd }t|ddd |ddgddggd }t|ddd |ddgdd
ggd }t|d |dd
gddggd }t|d |d
dgdd
gg}t|d ddd t|d d d S ) Ni8   N  i0u  i@  r   g؞Y?r&   r:   d   r$     r'   g,Ԛ?r)   r*   g2c?r(   rd   gY
A?      g_?      gO^M?r   gօa?r%   r   ggE?g$I$I?)r@   fisher_exactr
   )rD   r   resrH   rH   rI   r     s0   

zTestFisherExact.test_basicc                 C   s  ddgddggdfddgddggdfdd	gd
d
ggdfddgddggdfddgddggdfd
dgd
d	ggdfd
dgd
dggdfddgd	dggt jdffddgd	dggdfdd	gddggt jdffdd	gddggdfg}|D ]\}}tt |}t jj|d	 |d	 ddd qmd S )Nr   r$   r   r'   )gAn&	?g}K
T?r)   r*   )g	7?g?r   rd   )g!@j)A?r   r   )gU!a?gKY?r   r   )g7X?g~ltP?)gFu|?r   r   )rl   gQN^?r&   gaa?rl   r   gaa?r%      T)rS   verbose)rX   infr@   r   asarraytestingr   )rD   tablisttableres_rr   rH   rH   rI   test_precise  s$   zTestFisherExact.test_precisec                 C   st   g d}t |g dD ]\}}tddgd|ggd }t||dd qtd	d
gddggd }t|ddd d S )N)g?=gNuP=gs=)K   L   M   i(E  i  i)  r   r&   r:   iPF  i8 r   i_ g^K=?)zipr@   r   r
   )rD   pvalspvalnumr   rH   rH   rI   test_large_numbers  s   z"TestFisherExact.test_large_numbersc                 C   s    t ttjtddd d S )Nr(   r$   r%   )rs   rt   r@   r   rX   r   rW   rD   rH   rH   rI   test_raises  s   zTestFisherExact.test_raisesc                 C   sn   ddgddggddgddggddgddggddgddggf}|D ]}t |\}}t|d t|tj q d S )Nr   r'   rd   r   )r@   r   r   rX   r\   )rD   tablesr   	oddsratior   rH   rH   rI   test_row_or_col_zero  s   
z$TestFisherExact.test_row_or_col_zeroc                 C   s  ddgddggddgddggddgdd	ggd
dgddggddgddggddgddggddgddggddgddggddgddggf	}ddgddgddgddgddgddgddgddgddgf	}t ||D ]&\}}g }|tj|ddd  |tj|d dd  t||dd!d" qcd S )#Nr$   r)   r*      i,        r(   i     i   i  r   r%   r   r&   gI[?gq}!?r   g2\&gQp6g:O_?g a?皙?ffffff?g?333333?UUUUUU?r   lessalternativegreaterr   )r   rtol)r   appendr@   r   r   )rD   r   r   r   r   r   rH   rH   rI   test_less_greater  s4   z!TestFisherExact.test_less_greaterc                 C   s   t ddgddgg\}}d S )Nr   r$   r+   i")r@   r   )rD   oddspvaluerH   rH   rI   test_gh3014  s   zTestFisherExact.test_gh3014N)r   r   r   r   r   r   pytestmarkslowr   r   r   r	  r  rH   rH   rH   rI   r     s    


"r   c                   @   r   )GTestCorrSpearmanraD   W.II.D. Compute a correlation matrix on all the variables.

        All the correlations, except for ZERO and MISS, should be exactly 1.
        ZERO and MISS should have undefined or missing correlations with the
        other variables.  The same should go for SPEARMAN corelations, if
        your program has them.
    c                 C   s"   t dd}tt|  d S )N      @       @)r@   	spearmanrr   rX   isnanallrb   rH   rH   rI   test_scalar.  s   zTestCorrSpearmanr.test_scalarc                 C   s0   t ttjg dddg t ttjg dd d S )Nr   r$   r   r*   r+   )rs   rt   r@   r  r   rH   rH   rI   test_uneven_lengths2  s   z%TestCorrSpearmanr.test_uneven_lengthsc                 C   s   t jd t jdd}t jdd}t||jjdks J tj|j|jddj	jdks0J t
ttj||dd t
ttj|j|j d S )N鄋 r&   r%   r$   r'   r'   r   rP   )rX   randomseedrandnr@   r  correlationshapeTr  rs   rt   r   rH   rH   rI   test_uneven_2d_shapes6  s    z'TestCorrSpearmanr.test_uneven_2d_shapesc                 C   sz   t jd t jddd}tttj| tttj|| tttj|d d  ttj||d dtj|	 |	 dd d S )Nr  r&   r%   r$   rP   r   )
rX   r  r  r  rs   rt   r@   r  r   flattenrD   ru   rH   rH   rI   test_ndim_too_highA  s   z$TestCorrSpearmanr.test_ndim_too_highc                 C   sp   t d}t j|d< tt||t jt jf ttj||ddd tttj||dd tttj||dd d S )Nrg   r+   ri   rj   )r   rl   rm   rn   )rX   r   r\   r	   r@   r  rs   rt   r#  rH   rH   rI   test_nan_policyK     

z!TestCorrSpearmanr.test_nan_policyc                 C   s   t jd t jdd}d}t j|d d |f< t j||dd}tj|dd\}}t|\}}t jt j||dd|dd}t jt j||dd|dd}t||d	d
 t||d	d
 d S )Nr'   rd   r(   r   rP   ri   rj   r   +=r   )	rX   r  r  randr\   deleter@   r  r   )rD   ru   krE   corxpxcorypyrH   rH   rI   test_nan_policy_bug_12458T  s   z+TestCorrSpearmanr.test_nan_policy_bug_12458c                    sp   t jd d d}t j |t jd< t jd< tjddd\}} fdd	t D }t|| d S )
Nr'   rd   r   r   )r%   r}   r   	propagaterQ   rk   c                    s$   g | ]  fd dt D qS )c              	      s2   g | ]}t |d d f  d d f jqS N)r@   r  r  .0i)jru   rH   rI   
<listcomp>i  s   2 zJTestCorrSpearmanr.test_nan_policy_bug_12411.<locals>.<listcomp>.<listcomp>range)r5  mru   )r7  rI   r8  i  s    z?TestCorrSpearmanr.test_nan_policy_bug_12411.<locals>.<listcomp>)	rX   r  r  r  r\   r@   r  r:  r   )rD   ncorrr  r   rH   r;  rI   test_nan_policy_bug_12411a  s   

z+TestCorrSpearmanr.test_nan_policy_bug_12411c                 C   r   r   )r@   r  rB   r
   r   rH   rH   rI   test_sXXm  r   zTestCorrSpearmanr.test_sXXc                 C   r   r   )r@   r  rB   r   r
   r   rH   rH   rI   
test_sXBIGr  r   zTestCorrSpearmanr.test_sXBIGc                 C   r   r   )r@   r  rB   r   r
   r   rH   rH   rI   test_sXLITTLEw  r   zTestCorrSpearmanr.test_sXLITTLEc                 C   r   r   )r@   r  rB   r   r
   r   rH   rH   rI   test_sXHUGE|  r   zTestCorrSpearmanr.test_sXHUGEc                 C   r   r   )r@   r  rB   r   r
   r   rH   rH   rI   test_sXTINY  r   zTestCorrSpearmanr.test_sXTINYc                 C   r   r   )r@   r  rB   r   r
   r   rH   rH   rI   test_sXROUND  r   zTestCorrSpearmanr.test_sXROUNDc                 C   r   r   )r@   r  r   r
   r   rH   rH   rI   test_sBIGBIG  r   zTestCorrSpearmanr.test_sBIGBIGc                 C   r   r   )r@   r  r   r   r
   r   rH   rH   rI   test_sBIGLITTLE  r   z!TestCorrSpearmanr.test_sBIGLITTLEc                 C   r   r   )r@   r  r   r   r
   r   rH   rH   rI   test_sBIGHUGE  r   zTestCorrSpearmanr.test_sBIGHUGEc                 C   r   r   )r@   r  r   r   r
   r   rH   rH   rI   test_sBIGTINY  r   zTestCorrSpearmanr.test_sBIGTINYc                 C   r   r   )r@   r  r   r   r
   r   rH   rH   rI   test_sBIGROUND  r   z TestCorrSpearmanr.test_sBIGROUNDc                 C   r   r   )r@   r  r   r
   r   rH   rH   rI   test_sLITTLELITTLE  r   z$TestCorrSpearmanr.test_sLITTLELITTLEc                 C   r   r   )r@   r  r   r   r
   r   rH   rH   rI   test_sLITTLEHUGE  r   z"TestCorrSpearmanr.test_sLITTLEHUGEc                 C   r   r   )r@   r  r   r   r
   r   rH   rH   rI   test_sLITTLETINY  r   z"TestCorrSpearmanr.test_sLITTLETINYc                 C   r   r   )r@   r  r   r   r
   r   rH   rH   rI   test_sLITTLEROUND  r   z#TestCorrSpearmanr.test_sLITTLEROUNDc                 C   r   r   )r@   r  r   r
   r   rH   rH   rI   test_sHUGEHUGE  r   z TestCorrSpearmanr.test_sHUGEHUGEc                 C   r   r   )r@   r  r   r   r
   r   rH   rH   rI   test_sHUGETINY  r   z TestCorrSpearmanr.test_sHUGETINYc                 C   r   r   )r@   r  r   r   r
   r   rH   rH   rI   test_sHUGEROUND  r   z!TestCorrSpearmanr.test_sHUGEROUNDc                 C   r   r   )r@   r  r   r
   r   rH   rH   rI   test_sTINYTINY  r   z TestCorrSpearmanr.test_sTINYTINYc                 C   r   r   )r@   r  r   r   r
   r   rH   rH   rI   test_sTINYROUND  r   z!TestCorrSpearmanr.test_sTINYROUNDc                 C   r   r   )r@   r  r   r
   r   rH   rH   rI   test_sROUNDROUND  r   z"TestCorrSpearmanr.test_sROUNDROUNDc                 C   s   t tt}d}t|| d S )Nr  r  )r@   r  rB   r   )rD   r   
attributesrH   rH   rI    test_spearmanr_result_attributes  s   z2TestCorrSpearmanr.test_spearmanr_result_attributesc                 C   s@   g d}g d}t ||}t t||gj}t|| d S )Nr   r$   r%   r&   r'   r(   )r   r$   r%   r&   r(   r'   )r@   r  rX   r   r   r   rD   x1x2res1res2rH   rH   rI   test_1d_vs_2d  s
   zTestCorrSpearmanr.test_1d_vs_2dc                 C   sf   dD ].}dt jddddg}dddddt jg}tj|||d}tjt ||gj|d}t|| qd S )	N)r1  ri   r   r%   r&   r'   r(   r$   rj   )rX   r\   r@   r  r   r   r   )rD   rk   rZ  r[  r\  r]  rH   rH   rI   test_1d_vs_2d_nans  s   z$TestCorrSpearmanr.test_1d_vs_2d_nansc                 C   s   t d}| }t g d}t |||gj}t|}t g dg dg dg}t jdtd}d|d	d
d	f< d|d
d	d	f< t	|j
| t	|j| d S )Nr(   )r   r   r$   r%   r'   r&   )r   r}   3+?)r}   r   3+)r`  ra  r   r%   r%   rN   g+Hs]s?r$   r   )rX   r   r   r   r   r@   r  zerosfloatr   r  r  )rD   rZ  r[  x3ru   actualexpected_correxpected_pvaluerH   rH   rI   
test_3cols  s   


zTestCorrSpearmanr.test_3colsc              
   C   s   t t jddddddgdt jddd	ddgg d
gj}t t jt jt jgt jt jt jgt jt jdgg}ttj|ddj| tj|ddj}t|d d |d d |d d fddd d S )Nr   r  r9   ffffff@      @ffffff"@ffffff@g333333@皙@)r-   r  ffffff@ffffff@       @rj  ffffff@r   r1  rj   ri   r   r   r$   )gacJC?g%ln?g_0nYt!޿ư>r  )rX   r   r\   r   r   r@   r  r  )rD   ru   r>  r   rH   rH   rI   test_gh_9103  s"   "
zTestCorrSpearmanr.test_gh_9103c           
      C   s   d}t jd t j|}t j|dk}|dk}t |}tj||ddj}t j||< tj||ddj}|	t j
}tj||ddj}g d}	t|||g|	 d S )Nr   iH r   r-   ri   rj   )gonj?)Wn%?rv  )rX   r  r  r(  r   r@   r  r  r\   astypeint32r   )
rD   r=  ru   r<  r   r   r\  r]  res3expectedrH   rH   rI   test_gh_8111
  s   

zTestCorrSpearmanr.test_gh_8111N)&r   r   r   r   r  r  r!  r$  r%  r/  r?  r@  rA  rB  rC  rD  rE  rF  rG  rH  rI  rJ  rK  rL  rM  rN  rO  rP  rQ  rR  rS  rT  rW  r^  r_  ri  ru  r{  rH   rH   rH   rI   r  %  sH    
		r  c                   @   s   e Zd ZdZdd Zdd Zdd Zdd	 Zd
d Zdd Z	dd Z
dd Zdd Zdd Zdd Zdd Zdd Zdd Zdd Zejd d!d"d# Zd$S )%TestCorrSpearmanr2z-Some further tests of the spearmanr function.c                 C   sH   g d}g d}d}t ||}t|d |d  t|d |d  d S )Nr   r$   r%   r&   r'   r'   r(   r)   r*   r)   gh
C?gR?r   r   )r@   r  r
   rD   rZ  r[  rz  r   rH   rH   rI   test_spearmanr_vs_r%  s   z&TestCorrSpearmanr2.test_spearmanr_vs_rc                 C   s   t tg g tjtjf d S r3  )r   r@   r  rX   r\   r   rH   rH   rI   test_empty_arrays/  s   z$TestCorrSpearmanr2.test_empty_arraysc                 C   s   t jd t t jjddddt jjddddg}ddgddgg}t t j||}d}t	|d |d }t
|d |d  t
|d |d  d S )	Nz  r     locscaler   r   r  )gCzYW?ge*=r   )rX   r  r  r   normaldotlinalgcholeskyr@   r  r
   )rD   ru   r>  rz  r   rH   rH   rI   test_normal_draws2  s   z$TestCorrSpearmanr2.test_normal_drawsc                 C   s"   t tg dg dd d d S )Nr   r   r$   r   r   )r
   r@   r  r   rH   rH   rI   test_corr_1>  s   "zTestCorrSpearmanr2.test_corr_1c                 C   p   t d}t j|d< tt||t jt jf ttj||ddd tttj||dd tttj||dd d S )Nrg   r+   ri   rj   )r   r   rm   rn   )	rX   r   r\   r	   r@   r  r   rs   rt   r#  rH   rH   rI   test_nan_policiesA  r&  z$TestCorrSpearmanr2.test_nan_policiesc                 C   s(   t d}t d}tttj|| d S )Nrg         4@)rX   r   rs   rt   r@   r  r   rH   rH   rI   r   J  s   

z'TestCorrSpearmanr2.test_unequal_lengthsc                 C   sT   g d}dddt jg}tj||dd}tj|d d |d d dd}t|| d S )Nr   r*   r)   r(   ri   rj   r%   )rX   r\   r@   r  r   rY  rH   rH   rI   test_omit_paired_valueO  s
    z)TestCorrSpearmanr2.test_omit_paired_valuec                 C   s   t td}t td}|d |d |d< |d< |d |d |d< |d< |d |d |d< |d< |tj |d ttj||d	d
d d d S )N  r+   r   i  rd   i  i  r   ri   rj   gV-?)listr:  r  rX   r\   r   r@   r  r   rH   rH   rI   #test_gh_issue_6061_windows_overflowV  s   
z6TestCorrSpearmanr2.test_gh_issue_6061_windows_overflowc                 C   s   t tjQ tg dg d\}}t|tj t|tj tg dg d\}}t|tj t|tj tg dg d\}}t|tj t|tj W d    d S 1 sYw   Y  d S )Nr$   r$   r$   r$   r   r$   )r   r@   SpearmanRConstantInputWarningr  r   rX   r\   r   rH   rH   rI   	test_tie0c  s   "zTestCorrSpearmanr2.test_tie0c                 C   sF   g d}g d}g d}g d}t ||}t ||}t|| d S )Nr   r  r   r  )r   r  r  r   )r   r/   r/   r  )r@   r  r   r   )rD   ru   rE   xryrsrprrH   rH   rI   	test_tie1p  s   zTestCorrSpearmanr2.test_tie1c                 C   sZ   g d}g d}ddddt jg}ddddt jg}t||}tj||dd	}t|| d S )
N)r   r$   r/   r$   )r   r%   r/   r&   r   r$   r/   r%   r&   ri   rj   )rX   r\   r@   r  r   )rD   rZ  rF   r[  rG   sr1sr2rH   rH   rI   	test_tie2}  s   zTestCorrSpearmanr2.test_tie2c                 C   s   t g dg dg}t g dg dg}t g dg dg}ttjH tj|dd\}}t|t j t|t j tj|dd\}}t|t j t|t j tj|dd\}}t|t j t|t j W d    d S 1 sqw   Y  d S )Nr   r   r   r   r   r   rP   rX   r   r   r@   r  r  r   r\   )rD   z1z2z3r   r   rH   rH   rI   test_ties_axis_1  s   "z#TestCorrSpearmanr2.test_ties_axis_1c                 C   st   t g d}t g d}ttj t||\}}t|t j t|t j W d    d S 1 s3w   Y  d S )N)
r   r   r   r   r   r   r   r   r   r   
r   gN}	?r   r   g	/`?gY%uX-H?gC1tq1?r   r   g*I?r  r   rH   rH   rI   test_gh_11111  s   "z TestCorrSpearmanr2.test_gh_11111c                 C   s4   t g d}t g d}tttj||dd d S )N)
r         @r  r   r   r   r   r   r   r   r  r$   rP   )rX   r   rs   rt   r@   r  r   rH   rH   rI   test_index_error  s   z#TestCorrSpearmanr2.test_index_errorc                 C   s   g d}g d}d}t j||dd}t|d |d  t|d d|d d   t j||d	d}t|d |d  t|d |d d  tjtd
d t j||dd W d    d S 1 s_w   Y  d S )Nr}  r~  r  r  r  r   r   r$   r  alternative must be 'less'...ro   	ekki-ekki)r@   r  r
   r  r   rt   r  rH   rH   rI   test_alternative  s   "z#TestCorrSpearmanr2.test_alternativer  )	two-sidedr  r  c           	      C   s   g d}g d}|t jg }|t jg }tt||t jt jf tj||d|d}tj|||d}t|| d}tjt|d tj||d|d W d    n1 sTw   Y  d	}tjt|d tj||d
|d W d    d S 1 sww   Y  d S )Nr}  r~  ri   rk   r  r  The input contains nan valuesro   rm   znan_policy must be one of...r  )	rX   r\   r	   r@   r  r   r  r   rt   )	rD   r  rZ  r[  x1nanx2nan
res_actualres_expectedmessagerH   rH   rI   test_alternative_nan_policy  s,   



"z.TestCorrSpearmanr2.test_alternative_nan_policyN)r   r   r   r   r  r  r  r  r  r   r  r  r  r  r  r  r  r  r  r  r  parametrizer  rH   rH   rH   rI   r|  "  s&    
	
r|  c                  C   sX  d} g d}g d}d}| D ]}t ||}t|d |d  t|d |d  qg d}g d}d}| D ]}t ||}t|d |d  t|d |d  q5g d	}g d
}d}| D ]}t ||}t|d |d  t|d |d  q\g d}g d}d}| D ]}t ||}t|d |d  t|d |d  qtd}td}d}| D ]}t j|||d}t|d |d  t|d |d  q|d }|d |d< ||d< d}| D ]}t j|||d}t|d |d  t|d |d  q|d }|d |d< ||d< d}| D ]}t j|||d}t|d |d  t|d |d  q
td}tdd d d }d}| D ]}t j|||d}t|d |d  t|d |d  q;|d }|d |d< ||d< d}| D ]}t j|||d}t|d |d  t|d |d  qk|d }|d |d< ||d< d}| D ]}t j|||d}t|d |d  t|d |d  qtg d}tg d}d}tt j||ddd | d}tt j||d dd | |d |d< ttt j||d!d" ttt j||d#d" ttt j||d$d g d%}g d&}d'}t ||}t|d |d  t|d |d  d(}	| D ]}t j|||d}t||	 q-| D ]<}t	t jg d)g d)|dtj
tj
f t	t jg d*g d)|dtj
tj
f t	t jg d)g d*|dtj
tj
f q@t	t g g tj
tj
f tjd+ ttjjddd,d-tjjddd,d-g}d.d/gd/d.gg}
ttj|
|}d0}t |d |d }t|d |d  t|d |d  tt jg d1g d1ddd d. tt jg d1g d1d dd d2 td3}tj
|d4< tt ||tj
tj
f tt j||d5d6d7d8d9 tt j||d5d:d;d<d8d9 ttt j||d=d6 ttt j||d>d6 td3}td?}ttt j|| t g g \}}t	tj
| t	tj
| t dgdg\}}t	tj
| t	tj
| tjd@tdA}tj|dB}tjd@tdA}t|dCd  |d dC f}ttt ||d  d S )DN)r   c)r'   r$   r   r%   r(   r&   r)   r*   )r'   r$   r(   r%   r   r*   r)   r&   r   r   r   )	r   r'   r$   r   r%   r(   r&   r)   r*   )	r'   r$   r   r(   r%   r   r*   r)   r&   )r'   r$   r   r%   r(   r&   r)   )r'   r$   r(   r%   r   r)   r&   )gJ$I¿gmK?)r$   r   r%   r(   r&   r)   r*   )r$   r(   r%   r   r*   r)   r&   )gJkaa?r   rd   )r   紞xO~>)variantr$   )g?>?aV>r'   r(   )g}'}'?o&5>r}   )r   r  )g?>r  )g}'}'r  )
r   r$   r$   r&   r&   r(   r(   r*   r+   r+   )
r   r$   r&   r&   r&   r&   r*   r*   r*   rd   gok|?r   gffffff?r  exactmethodbananarms   r$   r   r  r$   r   r&   r)   r   r   )g}+޿g`=i?rU  r  r  r  r  r  r   r  )g\zf?g^n)=r  g#q?rg   r+   ri   rj   )r   g/>rs  rt  
asymptotic)rk   r  )r   g&?rm   rn   r  r  rN   i  r   )r@   
kendalltaur
   rX   r   r   rs   rt   r   r   r\   r  r  r  r  r  r  r	   r   rd  mamasked_greaterconcatenater   isfinite)variantsru   rE   rz  tauxr   r   rZ  r[  rV  r>  taup_valuerH   rH   rI   test_kendalltau  s*  









r  c                  C   s   t jd tddD ]@} g }t| D ]	}||g| 7 }qt|}t j| t j| t||}t||}t	|d |d  t	|d |d  qd S )N*   r$   rd   r   r   )
rX   r  r  r:  r  shufflemstats_basicr  r@   r
   )sr   r6  r   rz  rf  rH   rH   rI   test_kendalltau_vs_mstats_basic  s   r  c                  C   sX   g d} t jdddg}tj| |dd}t| dd  |dd  }t|j|jdd d S )	Nr  333333@333333@ri   rj   r   r   r   )rX   r\   r@   r  r   r  )ru   rE   r1r2rH   rH   rI   test_kendalltau_nan_2nd_arg  s
   r  c                  C   s
  g d} g d}t | |\}}t|d ttj| t j| |dd\}}t|d ttj| t j| |dd d	\}}t|d
 ttj| t j| |d d\}}t|d ttj| t j|| d d\}}t|d ttj| t j| |d dd\}}t|d ttj| t j|| d dd\}}t|d ttj| t j| |dd\}}t|d ttj| t j| |ddd d\}}t|d
 ttj| t j|| ddd d\}}t|d
 ttj| t tj| tjd|\}}t|d t tj| tjd|\}}t|d t tj| tjdtj|tjd\}}t|d t g g \}}ttj| ttj| t dgdg\}}ttj| ttj| t	t
t jddgg d t	t
t jddgddgdg g d} ddddtjg}t | |\}}t|d ddtjddg} t | |\}}t|d g d} dd d!dtjg}t | |\}}t|d d"d#tjd"d#g} t | |\}}t|d g d$} g d%}t | |\}}t|d& d"d#tjd"tjg} t | |\}}t|d& tjd d!tjtjg}t | |\}}t|d& d S )'Nr  r  gs$F)additivegROoc                 S      dS Nr   rH   ru   rH   rH   rI   <lambda>      z"test_weightedtau.<locals>.<lambda>)weigherr  )rankgڿgn)r  r  g @ڿg[đ(gIکnTc                 S   r  r  rH   r  rH   rH   rI   r    r  )r  r  c                 S   r  r  rH   r  rH   rH   rI   r    r  rN   r   r   r   r   r$   r&   r)   r  r$   )      (@r  r   r  r  r   r  r  r  r  )r  r  r   r  r   )r   r  r  r   r   gt34+)r@   weightedtaur
   r   rX   r\   r   r   int16rs   rt   )ru   rE   r  r  rH   rH   rI   test_weightedtau  s   











(






r  c                   C   s6   t dgdg t dgdg t tjgdg d S )Nr   r   4   )r@   r  rX   r\   rH   rH   rH   rI   test_segfault_issue_97100  s   r  c                  C   sZ   d} t | d t}t | d t}t j|d< tj||ddd\}}t|d d S )N   r   r}   r  ri   )r  rk   rl   )rX   r   rw  rd  r\   r@   r  r   )r=  ru   rE   _r   rH   rH   rI   test_kendall_tau_large:  s   
r  c            
   
   C   s   dd } t jd tddD ]Y}g }t|D ]	}||g| 7 }qt|}t j| t j| t jt|t jd}tdD ](}dD ]}| |||d	d
 |}t	
|||dd
 |j}	t||	 qCt j| q?qd S )Nc                 S   sZ  d } } } }}	t t| D ]}
t t| D ]}|r(|||
 |||  n|||
 |||  }||7 }| |
 | | krD||7 }||
 || krP|	|7 }	| |
 | | k r`||
 || k sp| |
 | | kru||
 || kru||7 }q| |
 | | k r||
 || ks| |
 | | kr||
 || k r||7 }qq|| t||  t||	  S Nr   )r:  lenrX   r   )ru   rE   r  r  addtotconcdiscuvr6  r7  wrH   rH   rI   wkqF  s    4@
@$z*test_weightedtau_vs_quadratic.<locals>.wkqr  r%   rd   rN   r$   )TFc                 S      d| d  S Nr   r   rH   r  rH   rH   rI   r  c      z/test_weightedtau_vs_quadratic.<locals>.<lambda>c                 S   r  r  rH   r  rH   rH   rI   r  d  r  )rX   r  r  r:  r  r  r   r  intpr@   r  r  r
   )
r  r  r   r6  r   r  r  r  rz  rf  rH   rH   rI   test_weightedtau_vs_quadraticD  s$   r  c                   @   s   e Zd Zdd Zdd ZdS )TestFindRepeatsc                 C   s6   g d}t |\}}t|g d t|g d d S )N)r   r$   r%   r&   r   r$   r%   r&   r   r$   r'   r   )r%   r%   r$   r$   r@   find_repeatsr	   )rD   r   r   numsrH   rH   rI   r   l  s   zTestFindRepeats.test_basicc                 C   s8   g dg fD ]}t |\}}t|g  t|g  qd S )N)rd   r   2      (   r  )rD   r   repeatedcountsrH   rH   rI   test_empty_resultr  s
   
z!TestFindRepeats.test_empty_resultN)r   r   r   r   r  rH   rH   rH   rI   r  j  s    r  c                   @   s   e Zd Zdd Zdd Zdd Zdd Zd	d
 Zdd Zdd Z	dd Z
dd Zdd Zdd Zdd Zdd Zdd Zdd Zdd  Zd!d" Zd#d$ Zd%S )&TestRegressionc                 C   s@   t tt}t|jd t|jd t|jd t|jd d S )Nir   rl   )	r@   
linregressrB   r   r   	interceptrvaluestderrintercept_stderrrD   resultrH   rH   rI   test_linregressBIGX|  s
   z"TestRegression.test_linregressBIGXc                 C   s@   t tt}t|jd t|jd t|jd t|jd d S )Nrl   r   )r@   r	  rB   r   r
  r  r  r  r  rH   rH   rI   test_regressXX  s
   zTestRegression.test_regressXXc                 C   s(   t tt}t|jd t|jd d S )Nrl   )r@   r	  rB   ZEROr   r
  r  r  rH   rH   rI   test_regressZEROX  s   z TestRegression.test_regressZEROXc                 C   sn   t ddd}dt ddd d }|t t ddd7 }t||}tjj}tt|| t	|j
d d S )Nr   r   皙?rd   r   穷4_Qc?)rX   linspacesinr@   r	  _stats_mstats_commonLinregressResultr   
isinstancer   r  )rD   ru   rE   r  lrrH   rH   rI   test_regress_simple  s   z"TestRegression.test_regress_simplec                 C   s   t ddd}dt ddd d }|t t ddd7 }tjtdd tj||dd	 W d    n1 s8w   Y  tj||d
d	}tj||dd	}t|j	d|j	d   tj||dd	}t|j	|j	d  |j
|j
  krw|j
kszJ  J d S )Nr   r   r  rd   r   r  ro   r  r  r  r  r   r$   r  )rX   r  r  r  r   rt   r@   r	  r   r  r  )rD   ru   rE   r\  r]  ry  rH   rH   rI   test_regress_alternative  s   &z'TestRegression.test_regress_alternativec                 C   sr   g d}g d}t j||dd}t|jd t|jd t|jtd t|jd t|j	d	 t|j
d
 d S )N)
                              )
rM   Q   8   [   /   9   r   H   >   0   r  r  gؗh?gJK@:Cgag?g->g5ՒO?g]؊E @)r@   r	  r   sloper
  r  rX   r   r  r  r  )rD   ru   rE   r   rH   rH   rI   test_regress_against_R  s   z%TestRegression.test_regress_against_Rc                 C   sp   t ddd}dt ddd d }|t t ddd7 }t ||f}t|}t|jd t|jd d S )Nr   r   r  rd   r   r  8?)	rX   r  r  vstackr@   r	  r   r  r  )rD   ru   rE   rowsr  rH   rH   rI   test_regress_simple_onearg_rows  s   
z.TestRegression.test_regress_simple_onearg_rowsc                 C   s   t ddd}dt ddd d }|t t ddd7 }t t |dt |df}t|}t|jd t|j	d d S )	Nr   r   r  rd   r   r   r  r2  )
rX   r  r  hstackexpand_dimsr@   r	  r   r  r  )rD   ru   rE   columnsr  rH   rH   rI   test_regress_simple_onearg_cols  s   
z.TestRegression.test_regress_simple_onearg_colsc                 C   s   t ttjtd d S )Nrb  )rs   rt   r@   r	  rX   onesr   rH   rH   rI   test_regress_shape_error  s   z'TestRegression.test_regress_shape_errorc                 C   s   t d}t dd}|ddg  d8  < |ddg  d7  < t||}dd	 }||jd
 ||jd ||jd ||jd ||jd ||j	d d S )Nr   r'   r   r   r   r}   c                 S   s   t | |ddS )N   rR   )r   ru   rE   rH   rH   rI   r    s    z0TestRegression.test_linregress.<locals>.<lambda>r   r9   gePUn?g.bt>gڽE?gʺL7?)
rX   r   r@   r	  r0  r
  r  r  r  r  )rD   ru   rE   r  	assert_aerH   rH   rI   test_linregress  s   
zTestRegression.test_linregressc                 C   sz   d\}}t |d| |}t d| ||}t||}t|jdk t|jd tt |j  tt |j	  d S )N)gJr 11順 r$   r}   )
rX   r  r@   r	  r   r  r   r  r  r  )rD   r   r=  ru   rE   r  rH   rH   rI    test_regress_simple_negative_cor  s   z/TestRegression.test_regress_simple_negative_corc                 C   s   t ddd}dt ddd d }|t t ddd7 }t||}tjj}tt|| d}t	|| dt
|v s>J d S )Nr   r   r  rd   r   )r0  r
  r  r  r  r  )rX   r  r  r@   r	  r  r  r   r  r   dir)rD   ru   rE   r  r  rV  rH   rH   rI   !test_linregress_result_attributes  s   
z0TestRegression.test_linregress_result_attributesc                 C   sJ   t d}t dd}t||}t|jd t|jd t|jd d S )Nr$   r%   r'   rl   )rX   r   r@   r	  r   r  r  r  rD   ru   rE   r  rH   rH   rI   test_regress_two_inputs)  s   
z&TestRegression.test_regress_two_inputsc                 C   sH   t d}t d}t||}t|jd t|jd t|jd d S )Nr$   r   rl   )	rX   r   r:  r@   r	  r   r  r  r  rE  rH   rH   rI   'test_regress_two_inputs_horizontal_line6  s   

z6TestRegression.test_regress_two_inputs_horizontal_linec                 C   sl   g d}g d}t ||}t|jd t|jd t|jd d t|jd t|jd t|jd	 d S )
N)$r  gfffffu@ǧ]@g̤@333333$@g     Pl@gfffff҄@gfffff"@g	|@g     H@gq@皙?333333?g     <@g33333ׄ@g      u@g     {@g333333'@g     `@33333l@gfffff@g̼@g^@r  r  gffffff@g1u@g@g     8@g     X@g333333&@g33333]@gfffffl@g@fffff|@r-   )$r   g,u@gfffff]@     @rl  rK  g     @     4@g|@33333W@gy@r  r   gP@gfffff@4u@rL  g%@gm@gl@g     0@gfffffƋ@gfffff]@r  rJ  gl@rP  rM  rN  rO  gffffff$@gffffff]@g̜l@g33333@g33333|@r  g?g!пr$   gpX?rl   gh-h*<?gg?)	r@   r	  r   r0  r
  r  r  r  r  rE  rH   rH   rI   test_nist_norrisC  s   zTestRegression.test_nist_norrisc                 C   sz   t ddd}dt ddd d }|t t ddd7 }t||}t ||d}t|j|d  t|j|d  d S )Nr   r   r  rd   r   r   )	rX   r  r  r@   r	  polyfitr   r0  r
  )rD   ru   rE   r  polyrH   rH   rI   test_compare_to_polyfitW  s   z&TestRegression.test_compare_to_polyfitc                 C   s   t ttjg g  d S r3  )rs   rt   r@   r	  r   rH   rH   rI   test_empty_inputc  s   zTestRegression.test_empty_inputc                 C   s   t d}t j|d< t jdd t||}W d    n1 s!w   Y  tjj}tt	|| t
|t jfd  t|jt j d S )Nrg   r+   ignoreinvalidr'   )rX   r   r\   errstater@   r	  r  r  r   r  r	   r   r  )rD   ru   r  r  rH   rH   rI   test_nan_inputf  s   

zTestRegression.test_nan_inputN)r   r   r   r  r  r  r  r  r1  r5  r9  r;  r@  rB  rD  rF  rG  rQ  rT  rU  rZ  rH   rH   rH   rI   r  z  s&    
	
r  c                  C   sz   t g d\} }}}t| d t|d g d}g d}t ||d\} }}}t| d t|ddd	 t|d
dd	 d S )Nr   r   r   r-   )r   r$   r%   r&   rd   r     )r+   r      r   -   7   N   gQ?r&   gQ@r$   rR   gGz@)r@   theilslopesr   )r0  r
  lowerupperru   rE   rH   rH   rI   test_theilslopest  s   


rd  c                  C   sx   g d} t j| dd\}}}}t|tg d t j| ddd\}}}}t|dk d}t j| ddd}t|| d S )	Nr   r&   r$   r   r%   r   r&   numbins)r   r  r9   rk  )r.   r'   )rg  defaultreallimitsr%   )cumcountre   binsizeextrapoints)r@   cumfreqr   rX   r   r   r   )ru   cumfreqslowlimrj  rk  rV  r   rH   rH   rI   test_cumfreq  s   ro  c                  C   sz   t g d} tj| dd\}}}}t|tg d d}tj| dd}t|| tjg ddd\}}}}t|| d S )Nre  r&   rf  )r-   K}\UU?rp  rp  )	frequencyre   rj  rk  )rX   r   r@   relfreqr   r   )r   relfreqsrn  rj  rk  rV  r   	relfreqs2rH   rH   rI   test_relfreq  s   


ru  c                   @   L   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 )TestScoreatpercentilec                 C   s"   g d| _ g d| _g d| _d S )N)r%   r&   r'   rd   r(   )r%   r<  r*   r)   r&   r$   r   )r   r&   r'   rd   rx  ry  rz  r  )a1a2a3r   rH   rH   rI   setup_method  s   

z"TestScoreatpercentile.setup_methodc                 C   sF   t dd }tt|dd tt|dd tt|dd d S )	Nr*   r-   r   rl   r   r0   r        ?)r   r   r@   scoreatpercentiler#  rH   rH   rI   r     s   z TestScoreatpercentile.test_basicc                 C   s(  t j}t|ttddd t|ttdddd t|ttddddd t|tg ddd	d
 t|tg dddd t|ttddddd t|ttdddddd t|ttdddddd t|tg ddd	ddd
 t|tg dddddd d S )Nrd   r  r1   r$   r)   r   r   r*   )limitr   rd   r   rd   r   r_  r   rd   r2   fractioninterpolation_methodr  r  r@   r  r   r  r:  rX   r   rD   scoreatpercrH   rH   rI   test_fraction  s:   z#TestScoreatpercentile.test_fractionc                 C   s:  t j}t|ttddddd t|ttddddd t|ttdddddd t|ttddddd	d t|ttd
ddddd t|ttd
ddddd t|tg dddddd t|tg ddddd	d
 t|tg dddddd t|tg ddddd	d d S )Nrd   r  rb  r  r&   higherr'   r  r  r   r  r  r  r  r   r  r  rH   rH   rI   test_lower_higher  sf   z'TestScoreatpercentile.test_lower_higherc                 C   s   t dd }tg d}t|g d}t|| tt|tj tt|tg d| tjt d	dtg ddd	}tg d
g dg dg dg}t|| d S )Nr*   r-   )r   r0   r  )r   r   r  r  r%   r&   )r   r   r   r   r   rP   )r   r&   r*   )Q?gQ@g(\ @r%   r)   r   )
r   rX   r   r@   r  r   r   r  ndarrayrW   )rD   ru   rz  r   r]  	expected2rH   rH   rI   test_sequence_per  s"   
z'TestScoreatpercentile.test_sequence_perc                 C   s   t j}tddd}t||dg d g dg dg dg}t||dd	d
| g dg dg dg}t||ddd
| tg dg dg dg dg dg}t |d}t|jd t|d t j|dd	d
}t|jd t|g d d S )Nr  r%   r&   )r   r  r   )g      @r2         &@)r$   r%   r&   r'   r&   r'   r(   r)   )r*   r+   rd   r   r   rP   )      ?g      @g     !@)r.   r2         #@r  r   r   r   r   )r&   r&   r%   r  rH   r   r%   )r@   r  r   rW   r   r   r  )rD   r  ru   r0r  scorerH   rH   rI   	test_axis  s&   
zTestScoreatpercentile.test_axisc                 C   s@   t ttjddgddd t ttjdgd t ttjdgd d S )Nr   r$   r)  rn   r  e   r}   )rs   rt   r@   r  r   rH   rH   rI   test_exception  s
   z$TestScoreatpercentile.test_exceptionc                 C   sT   t tg dtj t ttg g gdtj t tg ddgtjtjg d S )Nr  c   )r   r@   r  rX   r\   r   r   rH   rH   rI   
test_empty  s   "z TestScoreatpercentile.test_emptyN)r   r   r   r~  r   r  r  r  r  r  r  rH   rH   rH   rI   rw    s    rw  c                   @   s8   e Zd Zg dd Zg dZdd Zdd Zdd	 Zd
S )TestItemfreq)r'   r)   r   r$   r   r'   r)   rd   r   r$   r'   r)   c                    s>    fdd}t jt jt jt jt jt jg}|D ]}|| qd S )Nc                    s   t  j| }t }|t t|}W d    n1 sw   Y  t|d d df g d t|d d df t jg d| d d S )Nr   r  r   r   rd   r   r   rN   )	rX   r   r   r   filterDeprecationWarningr@   itemfreqr	   )dtr   r^   r  r   rH   rI   _check_itemfreq  s   
(z8TestItemfreq.test_numeric_types.<locals>._check_itemfreq)rX   rx  int64r   r   	complex64
complex128)rD   r  dtypesr  rH   r   rI   test_numeric_types  s   
zTestItemfreq.test_numeric_typesc                 C   s   | j | j}}d}tt||}||d d < tt||}||d d < t }|t t	|}W d    n1 s=w   Y  t
|d d df | d S )NOr   )r   r   rX   emptyr  r   r  r  r@   r  r	   rD   r   r   r  aabbr^   r  rH   rH   rI   test_object_arrays*  s   
zTestItemfreq.test_object_arraysc                 C   s   | j | j}}ddg}ttt|||}ttt|||}t }|t t	
|}W d    n1 s9w   Y  tt|d t|d  d S )N) r6  r$   r   r$   )r   r   rX   r   r  r   r   r  r  r@   r  r   tupler  rH   rH   rI   test_structured_arrays6  s   
z#TestItemfreq.test_structured_arraysN)r   r   r   r   r   r  r  r  rH   rH   rH   rI   r    s    r  c                
   @   s   e Zd Zdd Zdd Zdd Zdd Zd	d
 Zdd Zdd Z	dd Z
dd Zejdg ddejddddgg ddejddggdd Zdd ZdS )TestModec                 C   s2   t g \}}t|tg  t|tg  d S r3  r@   moder   rX   r   rD   valsr  rH   rH   rI   r  C  s   zTestMode.test_emptyc                 C   s6   t d\}}t|tdg t|tdg d S )Nr  r   r  r  rH   rH   rI   r  H  s   zTestMode.test_scalarc                 C   :   g d}t |}t|d d d t|d d d d S )Nr%   r'   r   rd      r%   r$   r(   r*   r(   rd   r(   r   r(   r   r%   r@   r  r   rD   data1r  rH   rH   rI   r   M     
zTestMode.test_basicc              	   C   s  g d}g d}g d}g d}g d}t |||||g}tj|d d}t|d t dg t|d	 t d
g tj|dd}t|d t g dg t|d	 t g dg tj|d	d}t|d t dgdgdgdgdgg t|d	 t dgdgdgdgdgg d S )N)rd   rd   r  r  )rd   rd   rd   rd   r  )r  r  r  r  )r  r  r  r  rP   r   r  r   r*   )rd   rd   r  r  )r$   r%   r%   r$   rd   r   r$   r&   r%   )rX   r   r@   r  r   )rD   r  data2data3data4data5arrr  rH   rH   rI   	test_axesS  s   (,zTestMode.test_axesc                 C   r  )N)rainshowersr  r   r  r   r$   r  r  rH   rH   rI   test_stringsg  r  zTestMode.test_stringsc                 C   s\   ddt jddg}t jdtd}||d d < t|}t|d d d t|d d d d S )	Nrd   Thellor'   rN   r   r   r$   )rX   r\   r  objectr@   r  r   )rD   objectsr  r  rH   rH   rI   test_mixed_objectsm  s   
zTestMode.test_mixed_objectsc                    s   G dd d  fdddD }t jdtd}||d d < ttt|dk tt |jd	 t	
|}t|d
 d
  d t|d d
 d d S )Nc                   @   4   e Zd Zdd Zdd Zdd Zdd Zd	d
 ZdS )z$TestMode.test_objects.<locals>.Pointc                 S   s
   || _ d S r3  r  r#  rH   rH   rI   __init__y     
z-TestMode.test_objects.<locals>.Point.__init__c                 S   s   | j |j kS r3  r  rD   otherrH   rH   rI   __eq__|     z+TestMode.test_objects.<locals>.Point.__eq__c                 S   s   | j |j kS r3  r  r  rH   rH   rI   __ne__  r  z+TestMode.test_objects.<locals>.Point.__ne__c                 S   s   | j |j k S r3  r  r  rH   rH   rI   __lt__  r  z+TestMode.test_objects.<locals>.Point.__lt__c                 S   s
   t | jS r3  )hashru   r   rH   rH   rI   __hash__  r  z-TestMode.test_objects.<locals>.Point.__hash__N)r   r   r   r  r  r  r  r  rH   rH   rH   rI   Pointx  s    r  c                    s   g | ]} |qS rH   rH   )r5  ru   r  rH   rI   r8    s    z)TestMode.test_objects.<locals>.<listcomp>)r   r$   r%   r&   r%   r$   r$   r$   r*   rN   r&   r&   r   r$   r   )rX   r  r  r   r  setr   uniquer  r@   r  )rD   pointsr  r  rH   r  rI   test_objectsu  s   
zTestMode.test_objectsc                 C   s<   g d}g }t |}d}t|| t |}t|| d S )Nr  )r  count)r@   r  r   )rD   r  r  rf  rV  actual2rH   rH   rI   test_mode_result_attributes  s   


z$TestMode.test_mode_result_attributesc                 C   st   dt jdddddddddddg}t|}t|d	 tj|d
d}t|d	 tttj|dd tttj|dd d S )Nr%   r'   r   rd   r  r$   r(   r*   )r(   r%   ri   rj   rm   rn   )rX   r\   r@   r  r   rs   rt   )rD   r  rf  rH   rH   rI   test_mode_nan  s    


zTestMode.test_mode_nandata)r%   r'   r   r   r%   r%   r'   r   )r%   r'   r   c                 C   s$   t j|dd}t|d d d d S )Nri   rj   r   r   r  )rD   r  r  rH   rH   rI   test_smallest_equal  s   zTestMode.test_smallest_equalc                 C   s   dgdgdgdgg}t j|td}tj|dd}t |jdkr&|jjdks(J t |jdkr6|jjdks8J |t jgg }t j|td}tj|dd}t |jdkr[|jjdks]J t |jdkrk|jjdksmJ d S )	N	OxidationPolymerization	ReductionrN   r   rP   r   r   r$   )	rX   r   r  r@   r  r  r  r  r\   )rD   r  arr<  r  ar1rH   rH   rI   test_obj_arrays_ndim  s      $zTestMode.test_obj_arrays_ndimN)r   r   r   r  r  r   r  r  r  r  r  r  r  r  r  rX   r\   r  r  rH   rH   rH   rI   r  B  s$    	

r  c                   @   s    e Zd Zg dZdZdd ZdS )TestSEMr   r  c              	   C   s.  t  *}tjdd |td t| j}W d    n1 s!w   Y  W d    n1 s0w   Y  tt	| t| j
}t|d t| j
}ttj| j
ddt||d   tj| j
dd td}tj|d	< tt|tj ttj|d
dd tttj|dd tttj|dd d S )NrV  rW  !Degrees of freedom <= 0 for sliceg㝎?r   rK   r$   rg   r+   ri   rj   gH=6?rm   rn   )r   rX   rY  r  r[   r@   semscalar_testcaser   r  testcaser
   r  r   r   r   r\   r   rs   rt   )rD   r^   rE   r=  ru   rH   rH   rI   test_sem  s&    

"

zTestSEM.test_semN)r   r   r   r  r  r  rH   rH   rH   rI   r    s    r  c                   @   s  e Zd Zejdg dg dfg dg dfgdd Zdd Zd	d
 Zejdddgdd Z	ejdddgdd Z
dd Zdd Zdd Zdd Zdd Zdd Zdd Zd d! Zd"d# Zd$d% Zd&d' Zd(d) Zd*d+ Zejd,eg ed-gd.d/ Zd0S )1TestZmapZscorezx, yr   r   )r   r   r$   r%   r&   c                 C   s6   t ||}|t| t| }t||dd d S )Nr,   rt  )r@   zmaprX   meanra   r   )rD   ru   rE   zrz  rH   rH   rI   	test_zmap  s   zTestZmapZscore.test_zmapc           	      C   s   t g dg dg dg}dt d }t dd }t d}tj||d	d
}tj||dd
}| | d | d dgd|| d |g|| d || gg}g d| | | t dgg dg}t|| t|| d S Nrl   rl   r   r   )r   r   r   r  )r  rl   r  rl   r   r  r   r%   r  r   rP   r   r$   rl   r   r   r   r   )r   r   r   r   )rX   r   r   r@   r  r   	rD   ru   t1t2t3z0r  z0_expectedz1_expectedrH   rH   rI   test_zmap_axis  s&   


zTestZmapZscore.test_zmap_axisc                 C   s|   t g dg dg}tj||ddd}t g ddt d  }t g dt d	 }t|d
 | t|d | d S Nr  )rl   r   r  r   r   rQ   rL   )      r  r-   r-   r   r%   )      r  r-   r.   g?r   )rX   r   r@   r  r   r   rD   ru   r  r  r	  rH   rH   rI   test_zmap_ddof  s   
zTestZmapZscore.test_zmap_ddofrL   r   r$   c                 C   sd   t dddt jg}t dddddt jg}tj|||dd}t|tj||t |  |d	 d S )
Nrx  r}   r$   r)   r  ri   rL   rk   rK   )rX   r   r\   r@   r  r   r  )rD   rL   scorescomparer  rH   rH   rI   test_zmap_nan_policy_omit  s   z(TestZmapZscore.test_zmap_nan_policy_omitc              
   C   s   t dddd}t ddddd}t j|d< t j|d	< t j|d
< tj||dd|d}t tj|d |d t |d   |dtj|d |d t |d   |dg}t	||dd d S )N      rz   r$   r}   r  r(      )r   r&   rT   r  ri   r   )rk   rQ   rL   r   rK   r'  rt  )
rX   r   rW   r  r\   r@   r  r   r  r   )rD   rL   r  r  r  rz  rH   rH   rI   #test_zmap_nan_policy_omit_with_axis  s    



z2TestZmapZscore.test_zmap_nan_policy_omit_with_axisc                 C   sj   t g d}t dddddt jg}tjtdd tj||d	d
 W d    d S 1 s.w   Y  d S )Nr   r  rx  r$   r)   r  zinput contains nanro   rm   rj   )rX   r   r\   r  r   rt   r@   r  )rD   r  r  rH   rH   rI   test_zmap_nan_policy_raise'  s
   "z)TestZmapZscore.test_zmap_nan_policy_raisec                 C   s(   t g d}g d}t||dd d S )Nr   )gOT\wg%ܿ%?gOT\w?r  rR   )r@   zscorer   )rD   rE   desiredrH   rH   rI   test_zscore-  s   zTestZmapZscore.test_zscorec           	      C   s   t g dg dg dg}dt d }t dd }t d}tj|d	d
}tj|dd
}| | d | d dgd|| d |g|| d || gg}g d| | | t dgg dg}t|| t|| d S r   )rX   r   r   r@   r  r   r  rH   rH   rI   test_zscore_axis5  s&   


zTestZmapZscore.test_zscore_axisc                 C   sz   t g dg dg}tj|ddd}t g ddt d  }t g dt d	 }t|d
 | t|d | d S r  )rX   r   r@   r  r   r   r  rH   rH   rI   test_zscore_ddofL  s   
zTestZmapZscore.test_zscore_ddofc                 C   s:   t ddt jddg}tj|dd}tt |sJ d S )Nr   r$   r&   r'   r1  rj   )rX   r   r\   r@   r  r  r  rD   ru   r  rH   rH   rI   test_zscore_nan_propagateX  s   z(TestZmapZscore.test_zscore_nan_propagatec                 C   sH   t ddt jddg}tj|dd}t ddt jd	d
g}t|| d S )Nr   r$   r&   r'   ri   rj   gIHb=gIHb=gIHb=?gIHb=?)rX   r   r\   r@   r  r   rD   ru   r  rz  rH   rH   rI   test_zscore_nan_omit]  s   z#TestZmapZscore.test_zscore_nan_omitc                 C   s\   t t jdddddg}tj|ddd}t jt jtj|dd  dd	f }t||d
d d S )Nr   r   r9   r  rz   r   ri   r  rK   vIh%<=rt  )rX   r   r\   r@   r  r_r   r"  rH   rH   rI   test_zscore_nan_omit_with_ddofj  s   "z-TestZmapZscore.test_zscore_nan_omit_with_ddofc                 C   s,   t ddt jddg}tttj|dd d S )Nr   r$   r&   r'   rm   rj   )rX   r   r\   rs   rt   r@   r  r#  rH   rH   rI   test_zscore_nan_raisep  s   z$TestZmapZscore.test_zscore_nan_raisec                 C   s0   dgd }t |}t|tt|tj d S )NgʡEr%   )r@   r  r   rX   rY   r  r\   r   rH   rH   rI   test_zscore_constant_input_1du  s   

z,TestZmapZscore.test_zscore_constant_input_1dc              	   C   s   t g dg dg}tj|dd}t|t t jdddgt jdddgg tj|dd}t|t t jt jt jt jgt|d g tj|d d}t|t| |j t 	d}tj|d d}t|t 
|jt j d S )	Nrg   rg   rg   rg   rg   r  r        *@r   rP   r   r   r   )r%   r(   )rX   r   r@   r  r   r\   ravelrW   r  r:  rY   )rD   ru   r  r  r  rE   rH   rH   rI   test_zscore_constant_input_2dz  s    

z,TestZmapZscore.test_zscore_constant_input_2dc                 C   s   t g ddddt jgddt jdgg}tj|ddd}t d}t d	}t|t t j| d
t jgt jddt jgt j|t jt jgg tj|ddd}t|t t jt jt jt jg| d|t jg| d	 |t j| d	 gg d S )Nr)  rg   r  r  ri   r   rk   rQ   r.   r$   r   r   r   )rX   r   r\   r@   r  r   r   )rD   ru   r  r  s2r  rH   rH   rI   -test_zscore_constant_input_2d_nan_policy_omit  s    


z<TestZmapZscore.test_zscore_constant_input_2d_nan_policy_omitc                 C   s^   t t jt jt jt jgg dg}tj|ddd}t|t t jt jt jt jgg dg d S )N)rg   rg   r  r  ri   r   r.  r  )rX   r   r\   r@   r  r   r   rH   rH   rI   test_zscore_2d_all_nan_row  s   z)TestZmapZscore.test_zscore_2d_all_nan_rowc                 C   s,   t dt j}tj|dd d}t|| d S )Nr$   r%   ri   r.  )rX   rY   r\   r@   r  r   )rD   rE   r  rH   rH   rI   test_zscore_2d_all_nan  s   z%TestZmapZscore.test_zscore_2d_all_nanru   )r%   r   r'   c                 C   s   t |}t|| d S r3  )r@   r  r   r   rH   rH   rI   test_zscore_empty_input  s   
z&TestZmapZscore.test_zscore_empty_inputN)r   r   r   r  r  r  r  r
  r  r  r  r  r  r  r  r!  r#  r&  r'  r(  r-  r0  r1  r3  rX   r   rc  r4  rH   rH   rH   rI   r    s:    

	
r  c                
   @   s   e Zd Zdd Zdd Zdd Zdd Zd	d
 Zej	
dg ddd Zej	
ddeejddgfdeejejdgfgdd Zej	
ddg dfdgdd Zdd ZdS )TestMedianAbsDeviationc                 C   R   t dddddddddddd	d
d
d
ddddddddt jg| _t g d| _d S N皙@r  r/   皙@ffffff@333333@=
ףp=@@(\
@r  r0   @皙@)\(@Q@)r8  r8  r  r  r/   r9  r:  r;  r<  r<  r=  r>  r  r  r  r0   r?  r@  r@  r@  r@  rA  rB  g33333<@rX   r   r\   dat_nandatr   rH   rH   rI   setup_class  s
   z"TestMedianAbsDeviation.setup_classc                 C   sN   t tj| jd dd | jdd}tj|dd}tg d}t|| d S )NrP   Q?r(   r&   r   )gףp=
?r-   ?rI  )r   r@   median_abs_deviationrE  rW   rX   r   r   )rD   rE  madmad_expectedrH   rH   rI   test_median_abs_deviation  s   z0TestMedianAbsDeviation.test_median_abs_deviationc                 C   s   t j| jdd}t|d d S )Nri   rj   g(\?)r@   rI  rD  r   )rD   rJ  rH   rH   rI   test_mad_nan_omit     z(TestMedianAbsDeviation.test_mad_nan_omitc                 C   sF   t ddddt jgg dg}tj|dd}t|t t jdg d S )Nr   r  r   r  )r   r  r9   rq  rz   r   rP   rX   r   r\   r@   rI  r   )rD   ru   rJ  rH   rH   rI   test_axis_and_nan  s
   z(TestMedianAbsDeviation.test_axis_and_nanc              	   C   s8   t dddddt jt jg}tj|dd}t|d d S )	Nr   r%   r&   r(   r  ri   rj   r   )rX   r   r\   r   r@   rI  r   )sefr  rJ  rH   rH   rI   test_nan_policy_omit_with_inf  s   z4TestMedianAbsDeviation.test_nan_policy_omit_with_infrQ   )r   r   r$   Nc                 C   s:   t d}tj||d}t|t j|j|dt jd d S )N)r%   r   r&   rP   
fill_value)rX   rc  r@   rI  r   	full_likesumr\   )rD   rQ   ru   rJ  rH   rH   rI   test_size_zero_with_axis  s   
"z/TestMedianAbsDeviation.test_size_zero_with_axisznan_policy, expectedri   r.   r1  c              	   C   sZ   t t jt jt jt jt jt jgddddt jt jgg dg}tj||dd}t|| d S )Nr   r'   r%   r(   )r'   r(   r)   r+   r+   rd   r.  rO  )rD   rk   rz  ru   rJ  rH   rH   rI   test_nan_policy_with_axis  s   z0TestMedianAbsDeviation.test_nan_policy_with_axiszaxis, expectedr   )r/   r  r  )Nr1   c                 C   sL   t ddddt jgg dg dg}tj|t jd|d}t||d	d	d
 d S )Nr   r$   r&   r+   )r   r   r   r   r  )rY  rY  r   r   ri   )centerrk   rQ   r   )r  r   )rX   r   r\   r@   rI  r  r   )rD   rQ   rz  ru   rJ  rH   rH   rI   test_center_mean_with_nan  s   z0TestMedianAbsDeviation.test_center_mean_with_nanc                 C   sF   t jtdd tjg ddd W d    d S 1 sw   Y  d S )Ncallablero   )r   r$   r%   r'   r  )rZ  )r  r   	TypeErrorr@   rI  r   rH   rH   rI   test_center_not_callable  s   "z/TestMedianAbsDeviation.test_center_not_callableN)r   r   r   rF  rL  rM  rP  rR  r  r  r  rW  rX   r   r\   rX  r[  r^  rH   rH   rH   rI   r5    s&    


r5  c                   @   rv  )TestMedianAbsoluteDeviationc                 C   r6  r7  rC  r   rH   rH   rI   rF    s
   z'TestMedianAbsoluteDeviation.setup_classc                 C   sN   g }t  }|t t|}W d    n1 sw   Y  t|tj d S r3  )r   r  r  r@   median_absolute_deviationr   rX   r\   )rD   rE  r^   rJ  rH   rH   rI   test_mad_empty  s   
z*TestMedianAbsoluteDeviation.test_mad_emptyc                 C   s   t d}t }|t tj|dd}tj|dd}W d    n1 s&w   Y  t|t j t|t 	t jt jt jg t|j
d d S )Nr%   r   r   rP   r   r  rX   r:  r   r  r  r@   r`  r   r\   r   r  )rD   r  r^   	mad_axis0	mad_axis1rH   rH   rI   test_mad_nan_shape1  s   

z/TestMedianAbsoluteDeviation.test_mad_nan_shape1c                 C   s   t d}t "}|t tj|dd}tj|dd}tj|dd}W d    n1 s-w   Y  t|t j t|t 	t jt jgt jt jgt jt jgg t|j
d t|t j d S )N)r%   r   r$   r   rP   r   r$   r%   r$   rc  )rD   r  r^   rd  re  	mad_axis2rH   rH   rI   test_mad_nan_shape2	  s   



z/TestMedianAbsoluteDeviation.test_mad_nan_shape2c                 C   sP   t  }|t tj| jdd}W d    n1 sw   Y  t|tj d S )Nr1  rj   )	r   r  r  r@   r`  rD  r   rX   r\   )rD   r^   rJ  rH   rH   rI   test_mad_nan_propagate	  s   
z2TestMedianAbsoluteDeviation.test_mad_nan_propagatec              	   C   s~   t t1 t }|t tj| jdd W d    n1 s w   Y  W d    d S W d    d S 1 s8w   Y  d S )Nrm   rj   )rs   rt   r   r  r  r@   r`  rD  rD   r^   rH   rH   rI   test_mad_nan_raise	  s   

"z.TestMedianAbsoluteDeviation.test_mad_nan_raisec                 C   sh   t  }|t tj| jdd}tj| jdd}W d    n1 s#w   Y  t|d t|| d S )Nr   r  rG  r   r  r  r@   r`  rE  r   )rD   r^   rJ  	mad_floatrH   rH   rI   test_mad_scale_default"	  s   

z2TestMedianAbsoluteDeviation.test_mad_scale_defaultc                 C   sl   t  }|t tj| jdd}d}tj| j|d}W d    n1 s%w   Y  t|d t|| d S )Nr  rm  gsV?g)?rn  )rD   r^   rJ  r  ro  rH   rH   rI   test_mad_scale_normal*	  s   

z1TestMedianAbsoluteDeviation.test_mad_scale_normalN)r   r   r   rF  ra  rf  ri  rj  rl  rp  rq  rH   rH   rH   rI   r_    s    
r_  c                 C   s,   t t| |d | D ]	}t|j|u  q
dS )z
    Checks that all of the warnings from a list returned by
    `warnings.catch_all(record=True)` are of the required type and that the list
    contains expected number of warnings.
    znumber of warningsN)r   r  r   category)	warn_listexpected_typeexpected_lenwarn_rH   rH   rI   _check_warnings4	  s   rw  c                   @   l   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dd ZdS )TestIQRc                 C   s.   t dd }t j| tt|d d S )Nr*   r-   r  )rX   r   r  r  r   r@   iqrr#  rH   rH   rI   r   A	  s   zTestIQR.test_basicc              	   C   s   t d}t| t|d  t|d t|d t|d d t|d dd t|d ddd	 t|d d
ddd t|d ddddd d S )Nr  r   r   r   )rd   Z   )r  r   r   )r   r   r.   r1  )r  r  r  rm   lineargٿri   rb  T)rX   r:  r@   rz  )rD   drH   rH   rI   test_apiF	  s   

zTestIQR.test_apic                 C   s.   t tg tj t ttdtj d S r  )r   r@   rz  rX   r\   r   r   rH   rH   rI   r  R	  s   zTestIQR.test_emptyc                 C   sl  t d}tt|d ttj|ddt d ttj|ddt d ttj|dd	d ttj|d
d	d ttj|dd	d ttj|dd	d ttj|dd	d t dt d }ttj|ddt d ttj|ddt d ttj|ddt dd ttj|ddt d ttj|ddt dd ttj|ddt dd d S )N)r)   r&   rl   r   rP   r&   r   r)   r}  interpolationmidpointnearestrb  r  r&   r'   r(   r(   )r'   r(   )r&   r(   r$   )r&   r'   r/   r{  r   r$   r'   r   r   r$   )	rX   r:  r   r@   rz  r	   rc  r   rY   r   rH   rH   rI   test_constantV	  s    
 zTestIQR.test_constantc                 C   sL   t dd }tt|d d tt|d ttj|dddg d S )Nr   r  r   rl   Tkeepdims)rX   r   r   r@   rz  r	   r#  rH   rH   rI   test_scalarlikel	  s   zTestIQR.test_scalarlikec                 C   s   t dd}tt|d ttj|ddt dd ttj|ddt d	d
 ttj|ddd ttj|ddd d S )Nr   r%   r'   r  r   rP   r'   r9   r   r%   r  r{  r0  )rX   r   rW   r   r@   rz  r	   rY   r#  rH   rH   rI   test_2Dr	  s   zTestIQR.test_2Dc              
   C   s  t jjdd}t |gd }t|}ttj|dd| t |dd}ttj|dd| |dd	}ttj|d
d| |dd	}ttj|ddtj|d d ttj|ddtj|dd t 	d}t j
| |d}ttj|ddd t|d d d d d d df   ttj|ddd	 t|d d d d d	d d f   ttj|ddd t|d d d d dd d f   ttj|ddd t|dd d d d d d f   ttj|ddd t|dd	d d d d f   ttj|ddd t|dd d d d d	f   ttj|ddd t|dd d dd d f   tt jtj|dd tttj|dd d S )N)G   r  r   rd   r{  rP   r}   r   )r$   r   r   r  r  r   i  r%   r'   r)   r   r   r   r%   )r%   r   r   r$   )r%   r   r$   rg  )r   r<  )r   r%   r$   r$   r&   r   r   )rX   r  r  dstackr@   rz  r   rollaxisswapaxesr   r  rW   r,  rs   	AxisErrorrt   )rD   oru   qr~  rH   rH   rI   r  z	  sR   


$$$$   zTestIQR.test_axisc                 C   s   t d}tt|d ttj|ddd ttj|ddd ttj|ddd tttj|d	d tttj|t jd
fd tt	tj|dd d S )Nr'   r$   )r   g     U@)rngr/   )g      )@r   )rd   r  g?)r   r  r   )r   r  <   )
rX   r   r   r@   rz  r   rs   rt   r\   r]  r#  rH   rH   rI   test_rng	  s   
zTestIQR.test_rngc                 C   sT  t d}t d}tt|d tt|d ttj|ddd ttj|ddd ttj|ddd ttj|ddd	d
 ttj|ddd ttj|ddd ttj|ddd	d ttj|ddd ttj|ddd ttj|ddd ttj|ddd ttj|ddd	d ttj|ddd tttj|dd d S )Nr'   r&   r$   r.   r}  r  r  )r   P   )r  r  r%   rb  r  r   r  r/   rn   )rX   r   r   r@   rz  rs   rt   r   rH   rH   rI   test_interpolation	  s$   

zTestIQR.test_interpolationc                 C   s^  t d}ttj|d ddjd ttj|dddjd ttj|dddjd ttj|d	ddjd
 ttj|dddjd ttj|dddjd ttj|dddjd ttj|d ddjd ttj|dddjd ttj|dddjd ttj|d	ddjd ttj|dddjd ttj|dddjd ttj|dddjd d S )Nr  F)rQ   r  rH   r$   )r%   r'   r   r{  )r)   r   )r   r%   )r'   r)   r   r  )r   r   r$   r%   r  r  )r)   Tr  )r%   r'   r   r   )r   r   r)   r   )r   r'   r)   r   )r%   r   r)   r   )r   r   r)   r   )rX   r:  r   r@   rz  r  r#  rH   rH   rI   test_keepdims	  s   
zTestIQR.test_keepdimsc                 C   s  t dd}ttj|ddd ttj|ddd ttj|ddd t j|d< tjd	d
8 t	d ttj|ddt j ttj|dddddt jddg ttj|ddddt jdg W d    n1 slw   Y  tjd	d
3 t	d ttj|ddd ttj|dddt 
dd ttj|dddg d W d    n1 sw   Y  tttj|dd tttj|ddd tttj|ddd tttj|dd d S )N      .@r  r1  rj   r)   ri   rm   r  TrZ   alwaysr   r2  r'   r   r$   r4   )r$   r/   r$   barfood)rX   r   rW   r   r@   rz  r\   warningscatch_warningssimplefilterrY   rs   rt   r#  rH   rH   rI   test_nanpolicy	  s*   

" 
zTestIQR.test_nanpolicyc                 C   s  t dd}ttj|ddd ttj|ddd ttj|ddd	 t j|d
< tj	ddf t
d ttj|dddt j ttj|dddt j ttj|dddt j ttj|dddddt jdg ttj|ddddt dt jdgd  ttj|dddddt jdg W d    n1 sw   Y  ttj|dddd ttj|dddd ttj|dddd tttj|dd d S )Nr  r  r   rm  r)   r  g=V^w@r  r0   r  Tr  r  r1  )r  rk   r   )rQ   r  rk   r$   gF7k?ri   r4   g	I1=@g      @rn   )rX   r   rW   r   r@   rz  r   r\   r  r  r  r   rs   rt   r#  rH   rH   rI   
test_scale	  s<   



zTestIQR.test_scaleN)r   r   r   r   r  r  r  r  r  r  r  r  r  r  r  rH   rH   rH   rI   ry  ?	  s    )ry  c                   @   s   e Zd ZdZg dZdZejd ej	dZ
g dZdddd	d
Zdd Zejdejejejgejdddgdd Zdd Zdd Zdd Zdd Zdd Zdd Zdd  Zd!d" Zd#d$ Zd%d& Zd'd( Zd)d* Z d+d, Z!dS )-TestMomentsa  
        Comparison numbers are found using R v.1.5.1
        note that length(testcase) = 4
        testmathworks comes from documentation for the
        Statistics Toolbox for Matlab and can be found at both
        https://www.mathworks.com/help/stats/kurtosis.html
        https://www.mathworks.com/help/stats/skewness.html
        Note that both test cases came from here.
    r   r    r  )gp=
ף?g?߾?gD9?gQI?g}?5^INr  rO   c                C   sH   t |}|d urt ||}t|| |d u r|j}|j|ks"J d S r3  )rX   r   broadcast_tor	   rO   )rD   rf  expectr  rO   rH   rH   rI   _assert_equal-
  s   

zTestMoments._assert_equalc                 C   s  t | j}t|d t | jd}t|d t | jd}t|dd t | jd}t|d t | jd}t|d t | jd	}t|d
 t | jg d}t|g d t | jd}t|d ttt j| jd t | jg d}t|g d t g }| j|t	j
t	jd t t	jg t	jd}| j|t	j
t	jd t jt	ddd}| j|g dt	jd t jg gdd}| j|t	j
dt	jd t jg gddgdd}| j|g dd t	d}t	j
|d< tt |dt	j
 tt j|ddd ttt j|dd ttt j|dd d S )Nrl   r   r   r   rd   r$         ?r%   r&        @r   )r   r  r   r  333333?)r   r$   r%   r  rN   r0  rP   r  r  r  )momentrQ   r  )r  rg   r+   ri   rj   rm   rn   )r@   r  r  r
   r  r   rs   rt   r  rX   r\   r   r   r   rc  r   r   r   rD   rE   ru   rH   rH   rI   test_moment6
  sF   








zTestMoments.test_momentrO   zexpect, momentr{  r0  c                 C   s   t jd|}tj||d}| j|||d tjt |dd|d}| j||d|d tjt |d	d
|d}| j||d|d tjt |d	d |d}| j||d|d d S )Nr'   )r  rN   )r(   r'   r   )rQ   r  r  r  r}  r$   )r   r$   r&   r'   rH   )rX   r  r(  rw  r@   r  r  r  )rD   rO   r  r  ru   rE   rH   rH   rI   test_constant_momentsc
  s   z!TestMoments.test_constant_momentsc                 C   sP   t dddt}t j|d< tj|dddd}t jj	|dt jgd	d
 d S )Nr*   r$   r}   r0  r   r1  r2  r  r   r   )
rX   r   rW   rw  rd  r\   r@   r  r   r   )rD   r   mmrH   rH   rI   test_moment_propagate_nanv
  s   
z%TestMoments.test_moment_propagate_nanc                 C   s   t | j}t|d t | j}t|dd td}tj|d< tt |tj t	t j|ddd t
tt j|d	d t
tt j|d
d d S )Nrl   r  rd   rg   r+   ri   rj   g4?rm   rn   )r@   	variationr  r
   r  rX   r   r\   r   r   rs   rt   r  rH   rH   rI   test_variation~
  s   


zTestMoments.test_variationc                 C   N   t dddt}t j|d< tj|ddd}t jj	|dt jgd	d
 d S )Nr*   r$   r}   r0  r   r1  r2  g5Fu?r   r   )
rX   r   rW   rw  rd  r\   r@   r  r   r   )rD   r   vvrH   rH   rI   test_variation_propagate_nan
     
z(TestMoments.test_variation_propagate_nanc                 C   s`   t g d}t dddtjddtjg}tj|dd}tj|ddd	}t|d
 tj|| d S )Nr}  r   r$   r%   r&   r'   rK   ri   )rk   rL   g<<'?)r   rX   r\   r@   r  r
   r   r   )rD   r   nan_arE   nan_yrH   rH   rI   test_variation_ddof
  s   
zTestMoments.test_variation_ddofc                 C   s   t | j}t|d t | j}t|dd t j| jdd}t|dd t | j}t|dd td}tj|d< tj	d	d
 t
t |tj W d    n1 sUw   Y  t
t j|ddd ttt j|dd ttt j|dd d S )Nrl   g7l*ҿrd   r   biasg2۠ۿrg   r+   rV  rW  ri   rj   rm   rn   )r@   skewr  r
   testmathworksr  rX   r   r\   rY  r   rs   rt   r  rH   rH   rI   test_skewness
  s    


zTestMoments.test_skewnessc                 C   s   t ttdd d S )Nrd   rl   )r   r@   r  r   r   rH   rH   rI   test_skewness_scalar
  s   z TestMoments.test_skewness_scalarc                 C   sz   t dddt}t j|d< t jdd tj|ddd	}W d    n1 s*w   Y  t j	j
|d
t jgdd d S )Nr*   r$   r}   r0  rV  rW  r   r1  r2  r   r   r   )rX   r   rW   rw  rd  r\   rY  r@   r  r   r   )rD   r   r  rH   rH   rI   test_skew_propagate_nan
  s   
z#TestMoments.test_skew_propagate_nanc                 C   s   t dd}t|dksJ t|td dksJ t|td dks)J tj|dddks4J tdgd dks@J td	t d
dd  dksQJ d S )N9ѿrd   rl              Fr  g,@r)   r   rx  r&   gؗҜ<r   )rX   repeatr@   r  rd  r   rD   r   rH   rH   rI   test_skew_constant_value
  s   &z$TestMoments.test_skew_constant_valuec                 C   s   t | j}t|d t j| jdddd}t|dd t j| jddd}t|dd t | jdd}t|d td	}tj|d
< t	t |tj t
t j|ddd ttt j|dd ttt j|dd d S )N      r   r   fisherr  gO߻S@rd   gx|N@g=
ףp=?rg   r+   ri   rj   Gzrm   rn   )r@   kurtosisr  r
   r  r  rX   r   r\   r   r   rs   rt   r  rH   rH   rI   test_kurtosis
  s   



zTestMoments.test_kurtosisc                 C   s   t ttg dt d S )Nr   )r   typer@   r  rd  r   rH   rH   rI   test_kurtosis_array_scalar
  s   z&TestMoments.test_kurtosis_array_scalarc                 C   r  )Nr*   r$   r}   r0  r   r1  r2  g(\r   r   )
rX   r   rW   rw  rd  r\   r@   r  r   r   )rD   r   r*  rH   rH   rI   test_kurtosis_propagate_nan
  r  z'TestMoments.test_kurtosis_propagate_nanc                 C   sz   t dd}tj|dddksJ tj|td dddks J tj|td dddks/J tj|ddddks;J d S )Nr  rd   F)r  rl   r  r  )rX   r  r@   r  rd  r  rH   rH   rI   test_kurtosis_constant_value
  s
   z(TestMoments.test_kurtosis_constant_valuec                 C   s6   | j t| j  }tt|d t| j d d S )Nr  )testcase_moment_accuracyrX   r  r   r   r@   r  )rD   
tc_no_meanrH   rH   rI   test_moment_accuracy
  s   
z TestMoments.test_moment_accuracy)"r   r   r   r   r  r  rX   r  r  r(  r  r  r  r  r  r  r  r   r   r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  rH   rH   rH   rI   r  
  s2    		-
		r  c                   @   sl   e Zd Zeg dZeg dZdZdZdZ	dZ
dZdZd	Zd
Ze
d Zde
d  Zdd Zdd ZdS )TestStudentTestr   r  r   r   gSzgE.?g {gB4t?g {?g?r$   c              	   C   s  t  ,}tjdd |td tdd\}}W d    n1 s#w   Y  W d    n1 s2w   Y  tt| tt| t| j	d\}}t
|| j t
|| j t| j	d}d}t|| t| jd\}}t
|| j t
|| j t| j	d\}}t
|| j t
|| j t| j	d	\}}t
|| j t
|| j tjjd
dddd}tj|d< tjdd5 tt|dtjtjf t
tj|dddd tttj|ddd tttj|ddd W d    d S 1 sw   Y  d S )NrV  rW  r  r  r   r   	statisticr  r   r$   r'   rd   3   it r  r  r   random_stater  r9   ri   rj   )g̈́^Bg/kCm?rm   rn   )r   rX   rY  r  r[   r@   ttest_1sampr   r  X1r   T1_0P1_0r   X2T2_0P2_0T1_1P1_1T1_2P1_2normrvsr\   r	   rs   rt   )rD   r^   tr   r   rV  ru   rH   rH   rI   test_onesample  sF    

"zTestStudentTest.test_onesamplec                 C   sv   t ttj| jddd tj| jddd\}}t|| j t|| j tj| jddd\}}t|| j t|| j d S )Nr   errorr  r   r  r  )	rs   rt   r@   r  r  r   P1_1_lr  P1_1_g)rD   r  r   rH   rH   rI   test_1samp_alternative?  s   z&TestStudentTest.test_1samp_alternativeN)r   r   r   rX   r   r  r  r  r  r  r  r  r  r  r  r  r  r  r  rH   rH   rH   rI   r    s    +r  c                  C   s  t j} t| g ddd dD ]\}}t| tdd d|d| qdD ]\}}t| g d	d|d| q%t| g d
dd dD ]\}}t| g d
d|d| qBdD ]}t| g dd|dd qUdD ]\}}t| g dd|d| qfdD ]\}}t| g dd|d| qydD ]}t| g dd|dd qdD ]\}}t| g dd|d| qdD ]\}}t| g dd|d| qdD ]\}}}t| g d||d| qtt| g dddd d S )N
r   r$   r%   r&   r'   r(   r)   r*   r+   rd   r&         D@))r  g     A@strict      >@)weakr  rd   r   )kind))r       F@r  )r        I@)r  r  )
r   r$   r%   r&   r&   r'   r(   r)   r*   r+   )
r   r$   r%   r&   r&   r&   r'   r(   r)   r*   r  ))r  r  r  r  r  r  g      N@)r  r  r  r  )
r   r$   r%   r'   r(   r)   r*   r+   rd   r   r  
rd   r   r  r  r  r  F   r  r|  r   r  )r  r  r  )
rd   r   r  r  r  r  r  r  r   r  )
rd   r   r  r  r  r   r  r|  r   n   r  ))r  rg   )r  r9   )r  rl   )r  rg   ))r        Y@)r  g     W@)r  g     V@)r  r  r  ))r  r   r  )r  r   r  )r  r   rl   )r   r$   r%   r%   r&   r%   unrecognized)r@   percentileofscorer   rX   r   rs   rt   )pcosr  r  r  rH   rH   rI   test_percentileofscoreK  sl    
r  Case)f_obsf_exprL   rQ   chi2logmod_logcr)r&   r*   r  r*   r&   r$   r-   r  r.   r*   r  r  gfx(@)r$   r   r  r$   r  r  r         ?g{T4@)r%   r'   r)   r+   r   r   r   c                   @   rv  )TestPowerDivergencec                 C   s   t |}|d u r|j}nt ||}|j| }t 7}	|	td tj	|||||d\}
}t
|
| |dks;|dkrKtj||||d\}
}t
|
| W d    n1 sUw   Y  t |}tjj||d | }t
|| d S )NMean of empty slicer  r	  rL   rQ   lambda_r   pearson)r  r	  rL   rQ   )rX   r   r   	broadcastr  r   r  r[   r@   power_divergencer   	chisquaredistributionsr
  sf)rD   r  r	  rL   rQ   r  expected_statnum_obsr   r^   statr   
expected_prH   rH   rI   check_power_divergence  s0   









z*TestPowerDivergence.check_power_divergencec              	   C   s   t D ]k}| |j|j|j|jd |j | |j|j|j|jd|j | |j|j|j|jd|j | |j|j|j|jd|j | |j|j|j|jd|j | |j|j|j|jd|j	 | |j|j|j|jd|j	 qd S Nr  r   log-likelihoodmod-log-likelihoodcressie-readr  )
power_div_1d_casesr  r  r	  rL   rQ   r
  r  r  r  rD   caserH   rH   rI   r     s<   zTestPowerDivergence.test_basicc              	   C   s   t D ]k}tj|j}| ||j|j|jd |j	 | ||j|j|jd|j	 | ||j|j|jd|j	 | ||j|j|jd|j
 | ||j|j|jd|j | ||j|j|jd|j | ||j|j|jd|j qd S r  )r#  rX   r  r   r  r  r	  rL   rQ   r
  r  r  r  )rD   r%  mobsrH   rH   rI   test_basic_masked  s>   z%TestPowerDivergence.test_basic_maskedc              	   C   s   t d }t d }t|j|jf}tt|jt|j |jf}| ||ddd|j|jg | ||ddd|j	|j	g | ||ddd|j
|j
g | ||ddd|j|jg | t|jddd dd d|j d S )Nr   r   r  r   r!  r"  r$   )r#  rX   r3  r  	ones_liker  r	  r  r
  r  r  r  r   rW   )rD   case0case1r  r	  rH   rH   rI   r  &  s4   zTestPowerDivergence.test_axisc                 C   s   t d }t d }t|j|jfj}tt|jt|j |jfj}|j|jg}t	dgdgg}t
j|||d\}}t|| t
j|||d d\}	}
t
j|||d d\}}t|t|
|f d S )Nr   r   rK   r  r0  )r#  rX   r3  r  r   r(  r  r	  r
  r   r@   r  r   r	   )rD   r)  r*  r  r	  expected_chi2rL   r  r   stat0p0stat1p1rH   rH   rI   test_ddof_broadcasting@  s   
z*TestPowerDivergence.test_ddof_broadcastingc              
   C   s   t  J tD ]>}| |j|j|j|jd|j | |j|j|j|jd|j	 | |j|j|j|jd|j
 | |j|j|j|jd|j qW d    d S 1 sQw   Y  d S )Nr  r   r!  r"  )r  r  power_div_empty_casesr  r  r	  rL   rQ   r
  r  r  r  r$  rH   rH   rI   test_empty_cases\  s(   
"z$TestPowerDivergence.test_empty_casesc                 C   sN   t d j}t d j}t d j}t d j}tj||||dd}d}t|| d S )Nr   r  r  r  )r#  r  r	  rL   rQ   r@   r  r   )rD   r  r	  rL   rQ   r   rV  rH   rH   rI   'test_power_divergence_result_attributesl  s   




z;TestPowerDivergence.test_power_divergence_result_attributesc                 C   s   t ddgddgg}t ddgddgg}ttdd	 tjddgdd
gd W d    n1 s2w   Y  ttdd	 tj||dd W d    n1 sPw   Y  tj||d\}}t|ddg t|ddg d S )Nrd   r   r  r'   r   #   r   For each axis slice...ro   r  r  r	  r   )r  r	  rQ   g̑m@gUUU@gj^4;?g4;?)rX   r   rs   rt   r@   r  r   )rD   r  r	  r  r   rH   rH   rI   test_power_divergence_gh_12282w  s   z2TestPowerDivergence.test_power_divergence_gh_12282N)r   r   r   r  r   r'  r  r0  r2  r3  r7  rH   rH   rH   rI   r    s    r  c                   C   sH   t tdd tjddgddgd W d    d S 1 sw   Y  d S )Nr5  ro   rd   r   r  r  r6  )rs   rt   r@   r  rH   rH   rH   rI   test_gh_chisquare_12282  s   "r8  zn, dtyper   i@B c                 C   sN   t j| dg|d}t j| d | d g|d}t||\}}t|| dd d S )Nr   rN   r$   r$  rt  )rX   r   r@   r  r   )r=  rO   obsexpr  r   rH   rH   rI   test_chiquare_data_types  s   r;  c               	   C   s  t g dg dgj} t g dg dgj}t j| |}t ddg}t ddt d d	t d
   ddt d dt d   g}tjj}t	|\}}t
|| t
||||jddd  tj|dd\}}t
j||dd t
||||jddd  tj	|jdd\}}t
|| t
||||jjddd  tj|jddd\}}t
j||dd t
||||jddd  t jjg dg dd}	t jjg dg dd}
tj	|	|
d\}}t
|d tj	t jg dd d\}}tt|t j tt|t j t|d t|tjjdd t jdd- t }|td  t	t jg \}}W d    n	1 sLw   Y  W d    n	1 s\w   Y  tt|t jj t|jd! t|j t jg g g g}t	|\}}tt|t jj t
|g  t jdd* t }|td  t	|j\}}W d    n	1 sw   Y  W d    n	1 sw   Y  tt|t jj t|jd" tt |j d S )#N)r*   r*   r       r}   )r}   r}   r%   r&   r'   )r   r   r   r   r   )r   r   r   r   r   g      8@r-   r$   r   r<  r  r%   r  r'   r  r   rP   r   r   r  r   rR   )rQ   r  )r%   r'   r(   r  rd   )r   r   r   r   r   mask)r$   r&   r*   rd   r  )r	  r   r   rV  rW  r  rH   r  )rX   r   r   r  masked_arrayr  r@   r  r
  r  matr	   r   r  r  r  r   r  r   r   r   rY  r   r  r[   MaskedArrayr  r?  r  )r9  r?  r&  expected_chisq
expected_gr
  chisqr   gobs1exp1r^   empty3rH   rH   rI   test_chisquare_masked_arrays  sz   "

rJ  c                  C   s   t g d} d}t dt| d }t |  t ||   }t |||  }t | |fj}t g d	dd}|D ]!\}}t
j|d d df |d d df |d\}	}
t|	|d	d
 qAd S )N)r   r   r=     r'   r   rd   r&   r*   rd   r)   r+   r   r%   r(   r   r   r&   g*kqr   ) g      $g    @r  g     r@r  gffffffP@g       gLD@r  g      A@r   g     =@r  g     :@rl   g8@r-   gffffff7@gq=
ףp?g7@r   g333336@r.   g6@r  gfffff6@r   g8@r9   g     A@rg   g     j@r}   r$   r   r=  g{Gzt?rt  )rX   r   r   r  r  rV  r:  r3  r   rW   r@   r  r   )r9  betar6  alphaexpected_countstable4table5r  r  r  r   rH   rH   rI   /test_power_divergence_against_cressie_read_data  s   	  
rQ  c                  C   s  t g dt g dt g dt g dg} t g dt g dt g dt g dg}t g d	t g d
t g dt g dg}tt| d | d | d | d d tt|d |d |d |d d tt|d |d |d |d d tttj|d |d  d}tj|  }t|| tt| d | d | d | d d tt|d |d |d |d d tttj|d |d  d S )N)g"~j?g^I+?gI+?gjt?gMbX9?gʡE?x&?-?g?r   gGz?g+?gv?g9v?)g~jt?gx?gOn?rR  g"~j?n?gK7A`?rS  g7A`?r   bX9?gZd;O?g1Zd?gK?)gy&1?gzG?g`"?g!rh?g'1Z?gZd;O?grh|?gjt?gʡE?r   gzG?gS?gJ4?gʡE?)gK7?gh|?5?gl?g/$?g#~j?rT  Q?      ?g      ?r   rU  g rh?g333333?
ףp=
?)r&   r%   r'   r%   r'   r%   r$   r'   r&   r&   r&   r%   )r$   r$   r   r$   r%   r   r$   r%   r$   r   r   r%   )r$   r&   r%   r%   r&   r%   r%   r&   r&   r   r$   r   )r%   r'   r&   r%   r&   r&   r%   r%   r%   r&   r&   r&   )r  g#@r5   rj  g$@)g333333@g@g@r0   g@)rn  rr  r2   r:   @)g!@g!@333333 @ffffff
@g333333"@r   r   r$   r%   )gNt$@gBv?)g
__2@g5"]i2?)g\(\%@g+ԋ?r  )r   r   r@   friedmanchisquarers   rt   r   mstats)rZ  r[  re  rV  r   rH   rH   rI   test_friedmanchisquare  sN   












   

r^  c                   @   s4   e Zd ZdZdddZdddZdd	 Zd
d ZdS )
TestKSTestzLTests kstest and ks_1samp agree with K-S various sizes, alternatives, modes.autor=  c           	      C   s8   t j|d||d}t||g}tt|||d d S Nr  r  r  rR   )r@   kstestrX   r   r   	rD   ru   r  expected_statisticexpected_probr  rS   r  rz  rH   rH   rI   _testOneE  s   zTestKSTest._testOnec                 C   s@   t j|d||d}t j|t jj||d}tt|||d d S ra  )r@   rc  ks_1sampr  cdfr   rX   r   )rD   ru   r  r  rS   r  result_1samprH   rH   rI   _test_kstest_and_ks1sampJ  s   z#TestKSTest._test_kstest_and_ks1sampc                 C   s,   t ddd}d}t|d}t|| d S )Nr}   r   r+   r  r  )rX   r  r@   rc  r   rD   ru   rV  r   rH   rH   rI   test_namedtuple_attributesO  s   z%TestKSTest.test_namedtuple_attributesc                 C   sl   t ddd}| |d t ddd}| |d g d}| |d | j|dd	d
 | j|dd	d
 d S )Nr}   r   r+   r  r   
r  gQ?g333333g(\?gQ?g(\ſg{GzgHzG?g\(\gGzr  r  r  r  )rX   r  rk  r#  rH   rH   rI   test_agree_with_ks_1sampV  s   z#TestKSTest.test_agree_with_ks_1sampNr`  r=  )r   r   r   r   rg  rk  rm  rq  rH   rH   rH   rI   r_  B  s    

r_  c                   @   s:   e Zd ZdZdddZdd Zdd	 Zd
d Zdd ZdS )TestKSOneSamplezOTests kstest and ks_samp 1-samples with K-S various sizes, alternatives, modes.r`  r=  c           	      C   s<   t j|t jj||d}t||g}tt|||d d S )Nrb  rR   )r@   rh  r  ri  rX   r   r   rd  rH   rH   rI   rg  g     zTestKSOneSample._testOnec                 C   s0   t ddd}d}t|tjj}t|| d S )Nr}   r   r+   r  )rX   r  r@   rh  r  ri  r   rl  rH   rH   rI   rm  l  s   z*TestKSOneSample.test_namedtuple_attributesc                 C   s   t ddd}| |ddd t ddd}| |dd	d
 g d}| |ddd | j|ddddd | j|ddddd d S )Nr}   r   r+   r  g|N?g7.s?rn  r   g{CTp?g M<b*?ro  gZL?g86J4?r  g+?r  rp  r  gHD?gr?rX   r  rg  r#  rH   rH   rI   test_agree_with_rs  s   z!TestKSOneSample.test_agree_with_rc                 C   sJ   t jjdddd}| j|ddddd	 | |d
dd | |ddd d S )Nr  r   h:)r  r   r  r  ghх?g7?asymprp  r  g^h?r  gv!ԉ}?g*z)?)r@   r  r  rg  r#  rH   rH   rI   test_known_examples  s   z#TestKSOneSample.test_known_examplesc                 C   s   t tttjdd ttdd tddd W d    n1 s#w   Y  t ttddd tg d}tt|dd	j	t
ttgd
 d S )Nr   Tzn is not integral: 1.5ro   r.   r}   ))r  r   Tr   )r  皙?Tr   )r  r   Trl   )r  gTrl   )r<        ?Trl   )r<  r{  Fr   )r<  r-   Tgb?)r<  r-   FgiNq>)r<        ?Tgv(?)r<  r  TgT	?)@  g\(\?Frl   )r}        ?Fg(>)r}  gQ?Fg@c?)r}        ?FgX+ʳP?r  r%   )r  )r   rX   r  r   r\   rs   rt   r   r   checkintrd  bool)rD   datasetrH   rH   rI   test_ks1samp_allpaths  s    z%TestKSOneSample.test_ks1samp_allpathsNrr  )	r   r   r   r   rg  rm  rv  ry  r  rH   rH   rH   rI   rs  d  s    
rs  c                   @   s   e Zd ZdZd(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jdd Zejjdd Zdd Zdd Zdd Zejjdd Zdd  Zejjd!d" Zd#d$ Zejjd%d& Zd'S ))TestKSTwoSamplesz<Tests 2-samples with K-S various sizes, alternatives, modes.r`  c           	      C   s4   t j||||d}t||g}tt|| d S )Nrp  )r@   ks_2samprX   r   r   )	rD   rZ  r[  r  re  rf  r  r  rz  rH   rH   rI   rg    s   zTestKSTwoSamples._testOnec                 C   s   |  dgdgddd |  dgdgddd |  dgdgddd |  dgdgddd |  dgdgddd |  dgdgddd d S )	Nr   r   r  r   r  r-   r  rl   )rg  r   rH   rH   rI   	testSmall  s   zTestKSTwoSamples.testSmallc                 C   s   t ddg}|d }|d }t g d}| ||ddd | ||ddd | ||d	dd | ||dd
d | ||dd
d | ||d	dd d S )Nr   r  {Gz?r   r  r   r  r   r  r   r  r  rJ  r  r   rX   r   rg  rD   r  data1pdata1mr  rH   rH   rI   testTwoVsThree  s   zTestKSTwoSamples.testTwoVsThreec                 C   s   t ddg}|d }|d }t g d}| ||ddd | ||ddd	 | ||d
dd | ||ddd | ||ddd | ||d
dd d S )Nr   r  r  r  r  r-   g?r  g?r  r  皙?r  rI  r  r   r  r  rH   rH   rI   testTwoVsFour  s   zTestKSTwoSamples.testTwoVsFourc                 C   s   t ddd}|d d }|d d }| ||ddd | ||ddd	 | ||d
dd | ||ddd | ||ddd | ||d
dd d S )Nr   r   r$   r   r  r  g~z?r  gz;.B?r  r   r   {Gz?gn2IU?ru  )rD   x100	x100_2_p1	x100_2_m1rH   rH   rI   test100_100  s   zTestKSTwoSamples.test100_100c                 C   s   t ddd}t ddd}|d d }|d d }| ||ddd | ||d	dd
 | ||ddd | ||ddd | ||d	dd | ||ddd d S )Nr   r   r  r   r   r  g?g@߿?r  g}n?r  r   g:[?g]O);?gѫ);?rl   r   ru  )rD   r  x110
x110_20_p1
x110_20_m1rH   rH   rI   test100_110  s   zTestKSTwoSamples.test100_110c                 C   s  t jdgd dgd  dgd  dgd  td}|d }t jdgd dgd  dgd  dgd  td}t jdgd dgd  dgd  d	gd  td}| ||d
dd | ||ddd | ||ddd | ||d
dd | ||ddd | ||ddd d S )Nr$   r%   r&   r'   r(   rN   r   rd   r)   r  g      ?g^dH?r  gQl6y?r  rl   r   gVdEVdE?g(f^?g!?gii?g+ ϖ?)rX   r   r  rg  )rD   x2233x3344x2356x3467rH   rH   rI   testRepeatedValues  s   222z#TestKSTwoSamples.testRepeatedValuesc                 C   s   t g d}| ||d ddd | ||d ddd | ||d dd	d | ||d
 ddd | ||d
 ddd | ||d
 dd	d | ||d
 ddd | ||d
 dd	d | ||d
 ddd d S )Nr  r   r  r   r   r  r  r  rl   r-   r  )rD   r  rH   rH   rI   testEqualSizes  s   zTestKSTwoSamples.testEqualSizesc              	   C   s  d\}}d| | d d }t dd|| }t dd|}| j||dd| | ddd	 | j||dd| | dd
d	 | j||dd| | dd
d	 | j||dd| | dd
d	 t ,}|td | j||dd| | ddd	 | j||dd| | ddd	 W d    n1 sw   Y  tjdd#}td | j||dd| | ddd	 t	|td W d    d S 1 sw   Y  d S )N)r  iX  r   r$   r   r   r  g     @@r`  rp  rx  r  g2JE?r  g     @@gsW\nc?Bks_2samp: Exact calculation unsuccessful. Switching to mode=asymp.r  Tr  r  
rX   r  rg  r   r  r[   r  r  r  rw  rD   n1n2deltaru   rE   r^   r  rH   rH   rI   testMiddlingBoth  s$    
"z!TestKSTwoSamples.testMiddlingBothc              	   C   s  d\}}d| | d d }t dd|| }t dd|}| j||dd| | ddd	 | j||dd| | dd
d	 | j||dd| | ddd	 | j||dd| | ddd	 t ,}|td | j||dd| | ddd	 | j||dd| | ddd	 W d    n1 sw   Y  tjdd#}td | j||dd| | ddd	 t	|td W d    d S 1 sw   Y  d S )N)r   L  r   r$   r   r   r  g     ȹ@rx  rp  r`  r  gZ?r  g     @@g@J?r  r  Tr  r  r  r  rH   rH   rI   testMediumBoth  s$    
"zTestKSTwoSamples.testMediumBothc                 C   s   d\}}|d }d| | d d }t dd|| }t dd|}| ||dd	| d
 | ||dd| d | ||dd	| d d S )N)'  r  r  r   r$   r   r   r   r  g    `@g      <r  g     @g򼉷?r  gimb:ru  )rD   r  r  lcmr  ru   rE   rH   rH   rI   	testLarge*  s   zTestKSTwoSamples.testLargec                 C   s\   t jd t jjdd}t jjddd }| j||dddd	d
 | j||ddddd
 d S )N@ i  r  i  r.   r  gC?      <rx  rp  r  rX   r  r  r  rg  r   rH   rH   rI   test_gh111845  s
   zTestKSTwoSamples.test_gh11184c                 C   s   t jd t jjdd}t jjddd }| j||dddd	d
 | j||ddddd
 | j||dddd	d
 | j||dddd	d
 d S )Nr  r  r  i'  r.   r  g 	_r!?gAD5rx  rp  r  r  r  gלN#y7r  gvqw?r  r   rH   rH   rI   test_gh11184_bigger=  s   z$TestKSTwoSamples.test_gh11184_biggerc              	   C   s*  d\}}|d }d| | d d }t dd|| }t dd|}| j||dd| d	d
d | j||dd| ddd | j||dd| d	dd | ||dd| d | ||dd| d t )}|td | j||dd| ddd | j||dd| ddd W d    d S 1 sw   Y  d S )N)r  i*  r  r   r$   r   r   r  g     @gkHY?rx  rp  gLɔ.?r  r`  r  g.LbG2?r  rg   gr?֎?r  )rX   r  rg  r   r  r[   )rD   r  r  r  r  ru   rE   r^   rH   rH   rI   testLargeBothG  s   "zTestKSTwoSamples.testLargeBothc                 C   s$   d}t ddgdg}t|| d S )Nr  r   r$   r%   )r@   r  r   rD   rV  r   rH   rH   rI   testNamedAttributesY  s   z$TestKSTwoSamples.testNamedAttributesc                 C   sT   ddl m}m} |dddd |dddd tt|dddd tt|dddd d S )	Nr   )_count_paths_outside_method_compute_prob_inside_methodr   r   i  r  iK  r  )scipy.stats.statsr  r  rs   FloatingPointError)rD   r  r  rH   rH   rI   test_some_code_paths_  s
   z%TestKSTwoSamples.test_some_code_pathsc                 C   s8   t ttjg dg t ttjdgg  t ttjg g  d S r  )rs   rt   r@   r  r   rH   rH   rI   test_argument_checkingj  s   z'TestKSTwoSamples.test_argument_checkingc                 C   sd   t jd d}tjj|ddd}|d }tj||ddd tj||d	dd tj||d
dd dS )zEnsure gh-12218 is fixed.Na i    rl   r   )r   r  r  r  rx  rb  r  r  N)rX   r  r  r@   uniformr  r  )rD   r  rvs1rvs2rH   rH   rI   test_gh12218p  s   zTestKSTwoSamples.test_gh12218N)r`  )r   r   r   r   rg  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  rH   rH   rH   rI   r    s2    






r  c               	   C   s  d\} }| |  g||gf}t ddd}t ddd}t t dddt dddg}t t dddt dddg}tj||dd\}}t||g| |f tj|j|jdd\}}t||g| tj||dd\}}t||g| t ,}	t jdd	 |		t
d
 tdd\}}W d    n1 sw   Y  W d    n1 sw   Y  tt | tt | d}
tj||dd}t||
 t |||g}t |||g}tj||dd\}}tt ||  tt || t|jd tjt |dt |ddd\}}tt ||  tt || t|jd tttj||dd tj||ddd\}}t|d|d   t||  tj||ddd\}}t||d  t||  t jd}tjjddd|d}t j|d< tjjddd|dtjjdd|d }t j|d< t jdd	 tt||t jt jf W d    n	1 sw   Y  ttj||ddd  tttj||d!d tttj||d"d tg d#g d$\}}tt ||ft jdf t jdd	9 ttg d#g d#t jt jf t dt jgd%dgg}tt|t d&dt jgdt jgf W d    n	1 s&w   Y  t d'}tttj|d(|d) d S )*N)gu?gȵI?r   r   g)\(?gKX@r   rP   rV  rW  r  r  r   r  r2  r$   rg  r  r  r  rQ   r  r  r  r'   rd     r  r  r  )r  r   r  ri   rj   )ghm#1?gry̧?rm   rn   r  r  r}   r  r  )r*   r%   r$   r%   r&   ) rX   r  r   r@   	ttest_relr   r   r   rY  r  r[   r   r  r   r  absr   r  r  rs   rt   r   r  RandomStater  r  r\   r	   r   rc  r   rW   )trr  tprr  r  rvs1_2Drvs2_2Dr  r   r^   rV  r   rvs1_3Drvs2_3Dr  ru   rE   ananrH   rH   rI   test_ttest_rel~  s   "" 





"
	r  c                  C   s   t jdddg} g d}tj| |dd}tj|| dd}t|j|j dd t|j|jdd t|d	d  | d	d  }t||dd t|d
dd d S )Nr  r   r  r   r  r   r  ri   rj   r   r   r   )r<  grh|?-C6?)rX   r\   r@   r  r   r  r  ru   rE   r  r  r3rH   rH   rI   test_ttest_rel_nan_2nd_arg  s   r  c                  C   4   t g g } t| t j jsJ t| tjtjf d S r3  )r@   r  r  Ttest_relResultr   rX   r\   r  rH   rH   rI   #test_ttest_rel_empty_1d_returns_nan     r  zb, expected_shape)r   r'   r   r  )r   r   r   rb  c                 C   X   t d}tj|| dd}t|tjjsJ t j|t jd}t|j	| t|j
| d S N)r%   r   r   r}   rP   rS  )rX   r  r@   r  r  r  rY   r\   r   r  r  r   expected_shaper   r  expected_valuerH   rH   rI   test_ttest_rel_axis_size_zero     
r  c                  C   V   t d} t d}tj| |dd}t|tjjsJ t|jjd t|j	jd d S N)r   r*   r   r'   r*   r   r   rP   r'   r   )
rX   r  r@   r  r  r  r   r  r  r  r   r   r  rH   rH   rI    test_ttest_rel_nonaxis_size_zero     

r  c                 C   s   ddd}|| |||| S )Nr   c                 S   s<   t | } t j| |d}t j| |dd}| j| }|||fS )NrP   r   r  )rX   r   r  ra   r  )ru   rQ   mura   nobsrH   rH   rI   _stats  s
   


z_desc_stats.<locals>._statsr  rH   )rZ  r[  rQ   r  rH   rH   rI   _desc_stats  s   
r  c               	   C   s  d} d}| |  g||gf}t ddd}t ddd}t ||g}t ||g}tj||dd\}}t||g| |f ttjt|| ||g tj|j|jdd\}}t||g| t|j|j}	ttj|	 ||g tj||dd\}}t||g| t||dd}	ttj|	 ||g t	 ,}
t j
d	d
 |
td tdd\}}W d    n1 sw   Y  W d    n1 sw   Y  tt | tt | t |||g}t |||g}tj||dd\}}tt |t |  tt || t|jd tjt |dt |ddd\}}tt |t |  tt || t|jd tttj||dd tttjgt|j|jR ddi tj||dd\}}t|d|d   t||  tj||dd\}}t||d  t||  tj|j|jddd\}}t|j|j}	ttj|	ddi||g tj|j|jddd\}}t|j|j}	ttj|	ddi||g t jd}tjjddd|d}t j|d< tjjddd|d}t j
d	d
 tt||t jt jf W d    n	1 sw   Y  ttj||ddd tttj||dd tttj||d d tg d!g d"\}}tt ||ft jdf t j
d	d
: ttg d!g d!t jt jf t dt jgd#dgg}tt|t d$dt jgdt jgf W d    d S 1 s}w   Y  d S )%N	ru?g8Mѱ?r   r   r'   i   r   rP   rV  rW  r  r  r   r2  r$   rg  r  r  r  r  r  r  r  rd   r  r  r  ri   rj   )guͷ?g*,?rm   rn   r  r  r}   r  ) rX   r  r   r@   	ttest_indr   ttest_ind_from_statsr  r   r   rY  r  r[   r   r  r  r   r  r   r  r  rs   rt   r   r  r  r  r  r\   r	   r   rc  )r  r  r  r  r  r  r  r  r   argsr^   r  r  r  ru   rE   r  rH   rH   rI   test_ttest_ind  s   


 




"$r  c                   @   s>  e Zd ZdZejd eede d ejde d fZ	eeed d ejed fZ
edZedd ZddgZddgZejd ejjd	dd
ddd	ZejjddddZddgZddgZg dZe	e
ddiefe	je
jddiefe	dddf e
dddf ddied fe	dddf  e
dddf  ddied fe	e
dddefe	e
ejdddefeeddidfeedddefeei dfg	Zeejdkree	e
ejdddef e j!"dedd Z#dd Z$dd Z%dd  Z&d!d" Z'e j!( d#d$ Z)d%d& Z*d'd( Z+dS ))Test_ttest_ind_permutationsr   r   r%   r&   r   rd   r   r$   r'   r  r  r*   goʡ?g/$?)g-?rV  gzG?g(\?gRQ?rQ   N)r  rQ   	equal_varT)rQ   r  r   1.18.0za,b,update,p_dc                 C   sv   d dd}d dddd}| | | | tj||fi |\}}tj||fi |\}	}
t||	d t|
| d S )NFrQ   r  r   r   )rQ   r  permutationsr  r'   )updater@   r  r   )rD   r   r   r  p_d	options_a	options_pstat_ar  stat_pr  rH   rH   rI   test_ttest_ind_permutations  s   


z7Test_ttest_ind_permutations.test_ttest_ind_permutationsc                 C   s  t jd d}t jd|d}t jd|d}ddd}|jdd tj||fi |}tj||fi |}|jd	d tj||fi |}tj||fi |}|jd
d tj||fi |}	tj||fi |}
t|j|j t|j|	j t|j|j  t|j|j  t|	j|
j  t|	j	|
j	 t|j	|j	 t|j	|j	 |j	dk}t|j	| |j	|  |	j	|  t|j	|  |j	|   |	j	|   d S )Nr   r%   r$   r   r   )rQ   r  r  r  r  r  r-   
rX   r  r  r(  r  r@   r  r   r  r  )rD   Nr   r   r  res_g_abres_g_bares_l_abres_l_bares_2_abres_2_bar?  rH   rH   rI    test_ttest_ind_exact_alternative  s:   


z<Test_ttest_ind_permutations.test_ttest_ind_exact_alternativec                 C   s   t jd d}t j|}t j|}t||}tj||dd}tj||dd}tj||t jd}|j|jks;J |j|jksCJ |j|jksKJ d S )Nr   r%   r   r  )rX   r  r  r(  r@   r  r   r  )rD   r  r   r   res0r\  r]  ry  rH   rH   rI   test_ttest_ind_exact_selection  s   z:Test_ttest_ind_permutations.test_ttest_ind_exact_selectionc                 C   s   t jd t jd}t jd}t ||f}t|t|}}d}t|||\}}|dd |f }|d|d f }t||d}	tt|	}
|
t	|| |ksSJ t|	|
ks[J d S )Nr   r%   r&   rA  .T)
rX   r  r  r(  r  r  r#   r"   r  r   )rD   r   r   r  nanbr  mat_permr  t_statn_uniquerH   rH   rI   !test_ttest_ind_exact_distribution  s   z=Test_ttest_ind_permutations.test_ttest_ind_exact_distributionc           	      C   s   t jd d}t jdd|}t jd|}dddd}|jdd	 tj||fi |}tj||fi |}|jd
d	 tj||fi |}tj||fi |}t|j|j t|j|j  t|j|j  t|j	|j	 d t|j	|j	 d d S )Nr   r  r$   r%   r}   r   )rQ   r  r  r  r  r  r   r  )	rD   r  r   r   r  r  r  r  r   rH   rH   rI   #test_ttest_ind_randperm_alternative  s    z?Test_ttest_ind_permutations.test_ttest_ind_randperm_alternativec           	      C   s>  t jd d}t j|d}t j|d}ddd}|jdd tj||fi |}|jdd tj||fi |}|jd	d tj||fi |}t|j|j d
 |jdk}t	d|j|  |j| dd t	dd
|j|    |j|  dd t	d|j|   |j|  dd t	dd
|j|   |j| dd d S )Nr   r  r&   r   r  r  r  r  r  r  r   r-   r$   r  r   )
rX   r  r  r(  r  r@   r  r   r  r   )	rD   r  r   r   r  r  r  r  r?  rH   rH   rI   $test_ttest_ind_randperm_alternative2  s2   




z@Test_ttest_ind_permutations.test_ttest_ind_randperm_alternative2c           	      C   s,  t jd d}t j|d}t j|d}t j|d< t j|d< t j|d< t j|d< ddd}|jd	d
 ttdd tj	||fi |}W d    n1 sPw   Y  t
 }|td |jdd
 tj	||fi |}t |jddt |jddB }tj	|d d | f |d d | f fi |}t|j| t j t|j| t j t|j|  |j t|j|  |j tj	| | fi |}t |jsJ t |jsJ W d    n1 sw   Y  |jdd
 ttdd tj	||fi |}W d    d S 1 sw   Y  d S )Nr   r  r'   )r'   r   )r*   r$   )r+   r%   r   r  rm   rj   r  ro   rh   r1  rP   ri   z!nan-containing/masked inputs with)rX   r  r  r(  r\   r  rs   rt   r@   r  r   rZ   r[   r  anyr   r  r  r   r,  )	rD   r  r   r   r  r   r^   r?  r]  rH   rH   rI   $test_ttest_ind_permutation_nanpolicy@  sB   




$0$z@Test_ttest_ind_permutations.test_ttest_ind_permutation_nanpolicyc                 C   s   t tdd tj| j| jdd W d    n1 sw   Y  t tdd tj| j| jdd W d    n1 s;w   Y  t tdd tj| j| jddd	 W d    d S 1 s]w   Y  d S )
NzPermutations must bero   rx  r  r.   z'hello' cannot be usedr   r  r  )rs   rt   r@   r  r|  b2r   r   r   rH   rH   rI   'test_ttest_ind_permutation_check_inputsj  s   "zCTest_ttest_ind_permutations.test_ttest_ind_permutation_check_inputs),r   r   r   r  rX   r  r  r3  r   r   r   r|  r  r}  b3r@   r  r  rW   r  r  r  p_d_genp_d_bigr   tolistr  paramsr   __version__r  default_rngr  r  r  r  r  r  r  r  r  r  r  r  rH   rH   rH   rI   r  }  sZ    ,(

*2

*
 *r  c                   @   s   e Zd Zej ejjddddddii gg ddejjd	d
dgd	dgddd Zejjddddddii gg ddejdddgdd ZdS )Test_ttest_ind_commonkwdsr   r   r  trimr  )r  r  basic)idsr  TFunequal_varc                 C   s  t jd t jdddddd}t jddddd}tj||fd	d
i|}d\}}}||d d |d d dd d f }	|d d dd d |d d f }
tj|	|
fd	di|}t|j|d d ||d d f |j t|j|d d ||d d f |j t 	t 
|dd
d}t 	t 
|dd
d}|jd d }t |}t |}tdd |D  D ] }|| }|| }tj||fd	di|}|j||< |j||< qt||j t||j d S )Nr   r'   r&   r)   r   r(   r*   r$   rQ   rx  )r$   r%   r   r<  r   r   r   r   r$   r   r}   r'   r   r&   r   r   r   c                 s       | ]}t |V  qd S r3  r9  r4  rH   rH   rI   	<genexpr>      z=Test_ttest_ind_common.test_ttest_many_dims.<locals>.<genexpr>)rX   r  r  r(  r@   r  r   r  r  moveaxistiler  rc  r   r   )rD   r  r  r   r   r   r6  r7  r*  r|  r  r]  ru   rE   r  
statisticspvaluesindicesxiyiry  rH   rH   rI   test_ttest_many_dimsw  s6   
 


z*Test_ttest_ind_common.test_ttest_many_dims)r  r  r  rQ   r}   c           
   	   C   s  t jjdddd}t jjdddd}t j|d d d< t j|d d d< t t j|| |d	}t 0}t jd
d |	t
d tj||fd|i|}W d    n1 s[w   Y  W d    n1 sjw   Y  t |j}t|| t |j}	t|	| d S )Nrd   )r'   r%   rd   r  rd  r   r$   r%   r(   rP   rV  rW  z'invalid value encountered in less_equalrQ   )rX   r  randintrw  r\   r  rV  r   rY  r  r[   r@   r  r  r	   r  )
rD   r  rQ   r   r   rz  r^   r   p_nansstatistic_nansrH   rH   rI   test_nans_on_axis  s"    
z'Test_ttest_ind_common.test_nans_on_axisN)	r   r   r   r  r  r  r  r-  r1  rH   rH   rH   rI   r  t  s$    #r  c                	   @   s   e Zd Zg dg ddddgg dg ddddgg dg dd	d
dgg dg ddddgg dg ddddggZejdedd Zdd Zdd Z	ejdddd Z
dd  Zejd!g d"d#d$ Zd%S )&Test_ttest_trimr   rz  r;  g@9(?er  )r)  g33333`@r  g33333^@g(\P@r`  gfffffڇ@gBM)u?g]@gyd?g	s5v@g{Gz?r9  r9  rz  r   ffffff?r   rp  rp  r  r7  r7  r3   g@rZ  r0   r-   rp  g333333@rn  r  g@rm  gn4aƂg?^)g,
gm?giI@gE|x!gvwQ?glfPg_)gXG~?g=n@g8$mg({g]:m?gYv gb?gb	gSTß}g9yg.Ͽv?g޺i?g	'X@)g>_\?g hO?gau?@g׌g+?g:؜^gz54g7f?gDO%@g#xG@g\F?g4E?gnfg>P"ۿguX@gvR?g%?g2Ydzgo?gih?gn?g!nu?gJ+bza,b,pr,tr,trimc                 C   s6   t j|||dd\}}t||dd t||dd dS )a  
        Using PairedData's yuen.t.test method. Something to note is that there
        are at least 3 R packages that come with a trimmed t-test method, and
        comparisons were made between them. It was found that PairedData's
        method's results match this method, SAS, and one of the other R
        methods. A notable discrepancy was the DescTools implementation of the
        function, which only sometimes agreed with SAS, WRS2, PairedData and
        this implementation. For this reason, most comparisons in R are made
        against PairedData's method.

        Rather than providing the input and output for all evaluations, here is
        a representative example:
        > library(PairedData)
        > a <- c(1, 2, 3)
        > b <- c(1.1, 2.9, 4.2)
        > options(digits=16)
        > yuen.t.test(a, b, tr=.2)

            Two-sample Yuen test, trim=0.2

        data:  x and y
        t = -0.68649512735573, df = 3.4104431643464, p-value = 0.5361949075313
        alternative hypothesis: true difference in trimmed means is not equal
        to 0
        95 percent confidence interval:
         -3.912777195645217  2.446110528978550
        sample estimates:
        trimmed mean of x trimmed mean of y
        2.000000000000000 2.73333333333333
        Fr  r  r   r   Nr@   r  r   )rD   r   r   r  r  r  r  r  rH   rH   rI   test_ttest_compare_r  s    z$Test_ttest_trim.test_ttest_compare_rc                 C   sF   g d}g d}t j||ddd\}}t|ddd t|d	dd d S )
N)r  r=  r\  r   r<  ,   r  r=  r\  r   r<  r=  )rK     r=  r  r     r]  rK  r>  r=  r  r  r?  r]  g
ףp=
?Fr:  gRbv?rs  r   gOi?r;  rD   r   r   r  r  rH   rH   rI   test_compare_SAS  s
   z Test_ttest_trim.test_compare_SASc                 C   sD   g d}g d}t j||dd\}}t|ddd t|ddd d	S )
a  
        The PairedData library only supports unequal variances. To compare
        samples with equal variances, the multicon library is used.
        > library(multicon)
        > a <- c(2.7, 2.7, 1.1, 3.0, 1.9, 3.0, 3.8, 3.8, 0.3, 1.9, 1.9)
        > b <- c(6.5, 5.4, 8.1, 3.5, 0.5, 3.8, 6.8, 4.9, 9.5, 6.2, 4.1)
        > dv = c(a,b)
        > iv = c(rep('a', length(a)), rep('b', length(b)))
        > yuenContrast(dv~ iv, EQVAR = TRUE)
        $Ms
           N                 M wgt
        a 11 2.442857142857143   1
        b 11 5.385714285714286  -1

        $test
                              stat df              crit                   p
        results -4.246116897032513 12 2.178812829667228 0.00113508833897713
        r6  r8  r  r  gR?绽|=r   g^Nr;  r@  rH   rH   rI   test_equal_var  s
   zTest_ttest_trim.test_equal_varz	alt,pr,tr))r  gjΜ>5?r9  )r  gn4aƂW?r9  c                 C   sH   g d}g d}t j||dd|d\}}t||dd t||dd dS )	z
        > library(PairedData)
        > a <- c(2.7,2.7,1.1,3.0,1.9,3.0,3.8,3.8,0.3,1.9,1.9)
        > b <- c(6.5,5.4,8.1,3.5,0.5,3.8,6.8,4.9,9.5,6.2,4.1)
        > options(digits=16)
        > yuen.t.test(a, b, alternative = 'greater')
        r6  r8  r  F)r  r  r  rC  r   Nr;  )rD   altr  r  r   r   r  r  rH   rH   rI   test_alternatives  s   
z!Test_ttest_trim.test_alternativesc                 C   s   d}t t|d tjddgddgddd W d    n1 s w   Y  d}t t|d tjddgdtjdgdd	d
 W d    d S 1 sHw   Y  d S )Nz7Permutations are currently not supported with trimming.ro   r   r$   r%   r  )r  r  zQnot supported by permutation tests, one-sided asymptotic tests, or trimmed tests.ri   )r  rk   )rs   rt   r@   r  rX   r\   )rD   rp   rH   rH   rI   test_errors_unsupported1  s    "z'Test_ttest_trim.test_errors_unsupportedr  )gɿr-   r   c                 C   sN   d}t t|d tjddgddg|d W d    d S 1 s w   Y  d S )Nz/Trimming percentage should be 0 <= `trim` < .5.ro   r   r$   rB  )rs   rt   r@   r  )rD   r  rp   rH   rH   rI   test_trim_bounds_error<  s   "z&Test_ttest_trim.test_trim_bounds_errorN)r   r   r   r  r  r  r  r<  rA  rD  rF  rG  rH  rH   rH   rH   rI   r2    s<    
#
r2  c            
   	   C   s  t jd t jdddddd} t jddddd}t| |fd	d
}t | d} t |d d}tdd |jD  D ]C}|\}}}}}}	|| jd	 k rc| ||||||	f |||||||	f ksbJ q;|||||| jd	  ||	f |||||||	f ks~J q;d S )Nr   r'   r&   r%   r   r(   r*   r$   rx  rP   r!  )N.r"  c                 s   r#  r3  r9  r4  rH   rH   rI   r$  M  r%  z.test__broadcast_concatenate.<locals>.<genexpr>)rX   r  r  r(  r    r'  r   r  )
r   r   r  indexr6  r7  r*  lr<  r=  rH   rH   rI   test__broadcast_concatenateC  s   .8rK  c                  C   s  d} d}d}d}t j| |dd\}}t||g||g tt jt| |ddi||g d} d	}d
}t j| |dd\}}t||g||g tt jt| |ddi||g d}d}d}d}|| g||gf}tddd}	tddd}
tddd}t||
g}t|
|g}t j||
ddd\}}t||g||f tt jt||
ddi||f t j||	ddd\}}t||g||f tt jt||	ddi||f t j|j|jddd\}}t||g| t|j|j}tt j|ddi||f t j||ddd\}}t||g| t||dd}tt j|ddi||f d}t j||
ddd}t	|| t
|||g}t
|||g}t j||ddd\}}tt|t| tt|| t|jd t||dd}t j|ddi\}}tt|t| tt|| t|jd t jt|dt|dddd\}}tt|t| tt|| t|jd tt|dt|ddd}t j|ddi\}}tt|t| tt|| t|jd t jg dg ddd\}}tt||ftjdf tjdd> tt jg dg dddtjtjf tdtjgddgg}tt j|td dddtjgdtjgf W d    d S 1 sMw   Y  d S )!Nr   r3  r4  r5  Fr  r  r   gJ?g*ʿr  g@[?gωұ?ghG?r   r   r   r'   r  r   r  rP   r  r2  r$   rg  r  r  rV  r  r}   r  )r@   r  r   r  r  rX   r  r   r   r   r  r   r  r   r  r  r   rY  r\   rc  )r   r   r  r  r  r   	tr_uneq_n	pr_uneq_nr  rvs3r  r  r  r  r  rV  r   r  r  r  rH   rH   rI   test_ttest_ind_with_uneq_varU  s   






$rQ  c                  C   s   t jdddg} g d}tj| |dd}tj|| dd}t|j|j dd t|j|jdd t|| d	d  }t||dd t|d
dd d S )Nr  r   r  r  ri   rj   r   r   r   )g8HgW@?)rX   r\   r@   r  r   r  r  r  rH   rH   rI   test_ttest_ind_nan_2nd_arg  s   
rR  c                  C   r  r3  )r@   r  r  Ttest_indResultr   rX   r\   r  rH   rH   rI   #test_ttest_ind_empty_1d_returns_nan  r  rT  c                 C   r  r  )rX   r  r@   r  r  rS  rY   r\   r   r  r  r  rH   rH   rI   test_ttest_ind_axis_size_zero  r  rU  c                  C   r  r  
rX   r  r@   r  r  rS  r   r  r  r  r  rH   rH   rI    test_ttest_ind_nonaxis_size_zero  r  rW  c                  C   r  )N)r   r)   r   r  r   rP   r  rV  r  rH   rH   rI   2test_ttest_ind_nonaxis_size_zero_different_lengths  s   

rX  c                  C   sr   t ddgt ddg} }t ddgt ddg}}t ddgt dd	g}}t| ||||| d S )
Nr   r$   r%   r&   r'         r      )rX   r   r@   r  )mean1mean2std1std2nobs1nobs2rH   rH   rI   test_gh5686  s   rb  c               	   C   s.   t jdddddddd} t| tjtjg d S )Nr   r(   FrL  )r@   r  r   rX   r\   r  rH   rH   rI   %test_ttest_ind_from_stats_inputs_zero  s   rc  c                  C   s  d\} }}t jjdd| ||fd}t j|d d d d d d f t||fdd\}}t j|d d d d d d f ddd\}}t |d d ddf d\}}	t||dd	 t|d
 |dd	 t|j	||f t j|d d d d d d f t| |fdd\}}t j|d d d d d d f ddd\}}t |dd d df d\}}	t||dd	 t|d
 |dd	 t|j	| |f t j|d d d d d d f t| |fdd\}}t j|d d d d d d f ddd\}}t |ddd d f d\}}	t||dd	 t|d
 |dd	 t|j	| |f t g dd\}
}tt
|
|ftjdf dd }t|}t |d d d d d d f d\}}t j|d d d d d d f ddd\}
}|||d}t|| t|
| t j|d d d d d d f ddd\}
}|||d}t|| t|
| tjdd5 tt g ddtjtjf tdtjgddgg}tt |ddtjgdtjgf W d    d S 1 sw   Y  d S )N)rd   r   r   r'   rd   r  r   rP   r   r=  rR   r  r$   r  c                 S   s4   | dk r|dks| dkr|dkr|d S d|d  S )Nr   r  r  r$   r   rH   )r  r   rE  rH   rH   rI   convert7  s    z%test_ttest_1samp_new.<locals>.convertr  r  r  rV  rM  r}   )r@   r  r  r  rX   r:  r   r   r   r  r  r   	vectorizer   rY  r\   r   )r  r  n3rvn1r  r/  r  p2r  p3r  r   rd  	converterr  r  pcr  rH   rH   rI   test_ttest_1samp_new  sL   
4*4*4*
&*

*

$$rl  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 )TestDescribec              	   C   s   t  /}tjdd |td td\}}}}}}W d    n1 s&w   Y  W d    n1 s5w   Y  t|d t|d t|d tt	| t
|ddd	 t
|d
dd	 d S )NrV  rW  r  r  r   )r  r  rl      rR   r  )r   rX   rY  r  r[   r@   describer   r   r  r   )rD   r^   r=  r  r<  r  skkurtrH   rH   rI   test_describe_scalarQ  s    


z!TestDescribe.test_describe_scalarc                 C   s  t t dt ddf}dg dg df}}t g d}t g d}d	gd
 }dgd
 }t|\}}	}
}}}t|| t|	| t|
| t|| t||dd t||dd tj|j	dd\}}	}
}}}t|| t|	| t|
| t|| t||dd t||dd t 
d}t j|d< d\}}d}d}d}d}tj|dd\}}	}
}}}t|| t|	| t|
| t|| t|| t||dd tttj|dd tttj|dd d S )Nr  r$   r&   r$   r'   r   r   r   r   r  r  r  r  ffffff?rw  rw  rw  )r  r  r  r  H,p ?r&   TUUUUUrn  rR   r   rP   rg   r+   )r+   )rl   rq  r  r4   rl   gGzri   rj   rm   rn   )rX   r3  r:  rY   r   r@   ro  r   r   r   r   r\   rs   rt   rD   ru   ncmmcmcvcskckurtcr=  r  r<  r  rp  rq  rH   rH   rI   test_describe_numbers\  sH   
















z"TestDescribe.test_describe_numbersc                 C   s"   t td}d}t|| d S )Nr'   )r  minmaxr  varianceskewnessr  )r@   ro  rX   r   r   )rD   rf  rV  rH   rH   rI   test_describe_result_attributes  s   z,TestDescribe.test_describe_result_attributesc                 C   s   t t dt ddf}dg dg df}}t g d}t g d}d	gd
 }dgd
 }tj|dd\}}	}
}}}t|| t|	|dd t|
|dd t||dd t	||dd t	||dd d S )Nr  rs  r$   r'   rt  ru  rv  )Q?r  r  r  rx  r&   ry  r   rK   r   rt  rn  rR   )
rX   r3  r:  rY   r   r@   ro  r   r   r   rz  rH   rH   rI   test_describe_ddof  s   


zTestDescribe.test_describe_ddofc           	      C   s   t t dt ddf}d\}}d}d}d}d}tj|d d	}t|j| t|j	| t|j
| t|j| t|j|d
d t|j|d
d d S )Nr  rs  r$   )r   )r   r  rw  ga+?gE,p ?gUUUUUUrP   rn  rR   )rX   r3  r:  rY   r@   ro  r   r  r   r  r  r  r   r  r  )	rD   ru   e_nobse_minmaxe_meane_vare_skewe_kurtr   rH   rH   rI   test_describe_axis_none  s   z$TestDescribe.test_describe_axis_nonec                 C      t ttjg  d S r3  )rs   rt   r@   ro  r   rH   rH   rI   test_describe_empty     z TestDescribe.test_describe_emptyN)	r   r   r   rr  r  r  r  r  r  rH   rH   rH   rI   rm  P  s    )rm  c                  C   s  t ttjd t ttjd t ttjd d\} }}d\}}}d|d  |d }}|d d|d  }}	tdd }
d}tt|
| |f t	t|
| tt|
||f ttj|
dd	||f ttj|
d
d	||f t	t|
| tt|
||f ttj|
dd	||f ttj|
d
d	||	f t	t|
| tj
jdddd}tj|d
d	j}t|ddd tjjddd}tj|d
d	j}t|d ttj|
d d| |f ttj|
d d||f ttj|
d d||f td}
tj|
d< tjdd tt|
tjtjf W d    n	1 sw   Y  d}ttj|
dd| tjdd t ttj|
dd W d    n	1 sIw   Y  t ttj|
dd t ttj|
ddd t ttj|
dd
d t ttjttddd	 td}
tj|
d < tjdd tt|
tjtjf W d    n	1 sw   Y  d!}ttj|
dd| t ttj|
dd t ttj|
dd t ttj|
ddd t ttj|
dd
d t ttjttd"dd	 tjdd tt|
tjtjf W d    n	1 sw   Y  d#}ttj|
dd| t ttj|
dd t ttj|
dd g d$}td%d& t|D }
tt|
d d'k d( d S ))Nr  )gMc@gO?g{\᛿)g2$?gגe`?gǃK@?r   r$   )r<  r}   r   r   r$   r%   r<  r}   r   r   r$   r%   r<  r}   r   r   r$   r%   r<  r}   r   r   r$   r%   r  r  r  r  r  {   )r   r   r  rl   r'   rR   r   r  rP   rg   r+   rV  rW  )geGK?gZ^<ý?ri   rj   rM  rm   rn   r  r*   r  r?  )g9+%g?*ݗ?r   )gwGw@g{8NĦ?)
r"  r   :   r)   r   )   r   r   r      c                 S   s   g | ]
\}}t ||qS rH   )rX   rY   )r5  r6  r  rH   rH   rI   r8    s    z'test_normalitytests.<locals>.<listcomp>r  T)rs   rt   r@   skewtestkurtosistest
normaltestrX   r   r   r   skewnormr  r  r   laplacer   r\   rY  r	   r  r:  r6  	enumerater   )	st_normalst_skewst_kurt	pv_normalpv_skewpv_kurtpv_skew_lesspv_kurt_lesspv_skew_greaterpv_kurt_greaterru   rV  r{  r   r|  rz  r  rH   rH   rI   test_normalitytests  s   






r  c                   @   sT   e Zd Zejd ejdd\ZZe	j
dg ddd Zdd	 Zd
d ZdS )TestRankSumsr   r$   rd   r  )r  r  r  c                 C   s<   t j| j| j|dj}t j| j| jd|dj}t|| d S )Nr  F)use_continuityr  )r@   ranksumsru   rE   r  mannwhitneyur   )rD   r  r\  r]  rH   rH   rI   test_ranksums_result_attributes  s   z,TestRankSums.test_ranksums_result_attributesc                 C   s   t | j| j}t|d d S )Nr  )r@   r  ru   rE   r   rD   r   rH   rH   rI   test_ranksums_named_results#  rN  z(TestRankSums.test_ranksums_named_resultsc                 C   sF   t tdd tj| j| jdd W d    d S 1 sw   Y  d S )Nzalternative must be 'less'ro   rn   r  )rs   rt   r@   r  ru   rE   r   rH   rH   rI   test_input_validation'  s   "z"TestRankSums.test_input_validationN)r   r   r   rX   r  r  r(  ru   rE   r  r  r  r  r  r  rH   rH   rH   rI   r    s    
r  c                   @   $   e Zd Zdd Zdd Zdd ZdS )TestJarqueBerac                 C   s  t jd t jddd}t jdd}t jdd}tt|d t|j	 tt|d t|j
 tt|d t|j	 tt|d t|j
 tt|d t|j	 tt|d t|j
 tt|d t|d k tt|j
t|j
k tt|d t|d k tt|j
t|j
k tt|d t|d k tt|j
t|j
k d S )Nrw  r   r   rA  r  )rX   r  r  r  r  rayleighr   r@   jarque_berar  r  r   rD   ru   rE   r  rH   rH   rI   test_jarque_bera_stats-  s        z%TestJarqueBera.test_jarque_bera_statsc                 C   s   t jd t jddd}tt| }\}}tt| }\}}t|dd }\}	}
t	||  koM|	  koM|j
  koM|j
  koM|j
kn   t	||  kop|
  kop|j  kop|j  kop|jk d S    d S )Nrw  r   r   rA  r$   P  )rX   r  r  r  r@   r  r  r  rW   r   r  r  )rD   ru   jb_test1JB1r/  jb_test2JB2rh  jb_test3JB3ri  rH   rH   rI   test_jarque_bera_array_likeE  s   @Jz*TestJarqueBera.test_jarque_bera_array_likec                 C   r  r3  )rs   rt   r@   r  r   rH   rH   rI   test_jarque_bera_sizeP  r  z$TestJarqueBera.test_jarque_bera_sizeN)r   r   r   r  r  r  rH   rH   rH   rI   r  ,  s    r  c                  C      t d} tttj|  d S )Nr  )rX   r   rs   rt   r@   r  r  rH   rH   rI   test_skewtest_too_few_samplesT     
r  c                  C   r  )Nr  )rX   r   rs   rt   r@   r  r  rH   rH   rI   !test_kurtosistest_too_few_samples[  r  r  c                   @   sP   e Zd Zg dZg dZdZdd Zdd Zdd	 Zd
d Z	dd Z
dd ZdS )TestMannWhitneyU)g	U3@g^3@gt3@g]o5@gzS4@gt< 4@gM	X3@gXmCk4@gLo&3@gfɘ2@g{m;^3@ga A$|3@gMѢ_4@g#3@g19T_3@ggC2@gqR4@gKk/4@g܁3@gZ2@g_
3@g$`3@g
x4@g3#л5@g;VND1@g >H2@gr4@gyܤ2@g?4@g=bɇ3@)gpG3@gL:j0@g2@gJNnC1@gR;`(3@g+Pi,2@g6:Z2@gZ"3=2@gF	uSa	3@gXҀ2@gX3^83@g21@gJ2@gZ)E2@gU83@g50@gԆ3@gFz33@gz3@gڴ3@r=  c           	      C   s   t j| j| jdd\}}t j| j| jdd\}}t j| j| jdd\}}t j| j| jdd\}}t|| t|| t||k t|d t|d t|d t|d t|d| jd t|d| jd d S )	Nr  r  r    f   g=_A?r:   glPz.?r@   r  rB   Yr   r   r
   r;   	rD   u1r/  u2rh  u3ri  u4p4rH   rH   rI   test_mannwhitneyu_one_sidedt  s   





z,TestMannWhitneyU.test_mannwhitneyu_one_sidedc                 C   sb   t j| j| jdd\}}t j| j| jdd\}}t|| t|d t|d t|d| jd d S )Nr  r  r  r  glPz.?r:   r@   r  rB   r  r   r
   r;   rD   r  r/  r  rh  rH   rH   rI   test_mannwhitneyu_two_sided  s   



z,TestMannWhitneyU.test_mannwhitneyu_two_sidedc           	      C   s   t j| j| jddd\}}t j| j| jddd\}}t j| j| jddd\}}t j| j| jddd\}}t|| t|| t||k t|d t|d t|d t|d t|d| jd t|d	| jd d S )
NFr  r  r  r  r  gii5?r:   g22?r  r  rH   rH   rI   &test_mannwhitneyu_no_correct_one_sided  s*   









z7TestMannWhitneyU.test_mannwhitneyu_no_correct_one_sidedc                 C   sf   t j| j| jddd\}}t j| j| jddd\}}t|| t|d t|d t|d| jd d S )NFr  r  r  r  g22?r:   r  r  rH   rH   rI   &test_mannwhitneyu_no_correct_two_sided  s   





z7TestMannWhitneyU.test_mannwhitneyu_no_correct_two_sidedc                 C   sb   t g d}t g d}ttj||ddd ttj||ddd t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  r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r  r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r  r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r  r   r   r   r   r  r   r   r  r   r   r  r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r  r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r  r   r   r   r   r   r   r   r   r   r  r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   )r   r   r   r   r   r   r   r  r   r  r   r   r   r   r  r   r   r   r  r   r   r   r   r   r  r   r   r   r   r   r   r   r   r   r   r   r   r   r  r   r  r   r   r   r   r   r   r  r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r  r   r   r   r   r   r  r  r   r   r  r   r   r  r   r  r   r   r   r   r  r  r   r   r   r   r   r   r   r   r   r   r   r   r   r   r  r   r   r   r   r   r  r  r  r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r  r   r   r  r   r   r   r   r  r   r   r   r   r   r   r   r   r   r   r   r   r  r   r   r   r  r   r   r   r   r   r   r  r  )     @g ?չ>r  )r  g&)E?r  )r  g?չ?)rX   r   r   r@   r  r   rH   rH   rI   test_mannwhitneyu_ones  s   z'TestMannWhitneyU.test_mannwhitneyu_onesc                 C   s&   d}t j| j| jdd}t|| d S )Nr  r  r  )r@   r  rB   r  r   r  rH   rH   rI   #test_mannwhitneyu_result_attributes  s   z4TestMannWhitneyU.test_mannwhitneyu_result_attributesN)r   r   r   rB   r  r;   r  r  r  r  r  r  rH   rH   rH   rI   r  b  s    	
+r  c                  C   sF   g d} g d}t t| |d dd d}t| |}t|| d S )N)"r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   )"g-@g+@g(@rH  ro  gffffff@g333333@ffffff@g333333@r0   r[  皙	@r   r:  r:  r/   r  gffffff@ @333333?r  r.   ?r  r  r  rz  r  r   rJ  r-   r  r  r   r   g/"?r'   rU  )r   r@   pointbiserialrr   )ru   rE   rV  r   rH   rH   rI   test_pointbiserial  s   r  c                  C   sd  t g d} t| }g d}t|d | t g d}t|}t g d}t|d | t| |\}}t||d  t||d  t| || \}}}t||d  t||d  t||d  t d} t g dg dg}tt| d	|  |d
d tdd}	t g d}
t 	|	|
}t g d}t 	||
}t|}t|d |dd d S )N)r   r$   r&   )r)   r<  r)   r   )r   r%   r(   r+   )r  r   r   r  r'   )㪪@I?g&>ڿr  r  )5@㪪@gIr  r  r$   r*   rR   r   )r'   r   r+   r%   r$   r$   )g_v	@g1%?g"u?gZӼ?g!u @gq&@r&   )
rX   r   r@   obrientransformr   r   r   r   r:  r  )rZ  r  rz  r[  r  r   r   r  r  valuesrepsr  transformed_valuesrH   rH   rI   test_obrientransform  s:   




r  r   c                 C   s0   t j| |||d}t|||d t|j| d S )N)rQ   rO   weightsrt  )r@   gmeanr   r   rO   )
array_liker  rQ   rO   r  r  ru   rH   rH   rI   check_equal_gmean  s   r  c                 C   s.   t j| ||d}t|||d t|j| d S )N)rQ   rO   rt  )r@   hmeanr   r   rO   )r  r  rQ   rO   r  ru   rH   rH   rI   check_equal_hmean!  s   r  c                   @   rx  )TestHarMeanc                 C   s0   g d}d}t || g d}d}t || d S )Nr  =b#A@r   gQ?r  rD   r   r  rH   rH   rI   test_1d_list(  s   
zTestHarMean.test_1d_listc                 C   s    t g d}d}t|| d S )Nr  r  rX   r   r  r  rH   rH   rI   test_1d_array2  s   zTestHarMean.test_1d_arrayc                 C   s&   t ddg}d}tt|| d S )Nr   r   rl   )rX   r   r   r@   r  r  rH   rH   rI   test_1d_array_with_zero8  s   z#TestHarMean.test_1d_array_with_zeroc                 C   s    t g d}tttj| d S )N)r   r   r}   )rX   r   rs   rt   r@   r  r  rH   rH   rI   !test_1d_array_with_negative_value=  s   z-TestHarMean.test_1d_array_with_negative_valuec                 C   (   g dg dg dg}d}t || d S Nrd   r   r  r  r  r  r   r  r|  r   r  x   gmWUC@r  r  rH   rH   rI   test_2d_listB     zTestHarMean.test_2d_listc                 C   s.   g dg dg dg}d}t t|| d S r  )r  rX   r   r  rH   rH   rI   test_2d_arrayH  s   zTestHarMean.test_2d_arrayc                 C   6   g dg dg dg}t g d}t||dd d S Nr  r  r  )U|ϊ6@g4.=C@JQ6LsJ@E]P@r   rP   r  r  rH   rH   rI   test_2d_axis0N     zTestHarMean.test_2d_axis0c                 C   <   g dg dg dg}t g d}ttj|dd| d S )Nrd   r   r  r  r  r  )r  rl   r  r  r   rP   rX   r   r   r@   r  r  rH   rH   rI   test_2d_axis0_with_zeroT  rt  z#TestHarMean.test_2d_axis0_with_zeroc                 C   r  Nr  r  r  )g3333333@O@y@Y@r   rP   r  r  rH   rH   rI   test_2d_axis1Y  r  zTestHarMean.test_2d_axis1c                 C   r  )Nr  r  r  )rl   r  r  r   rP   r  r  rH   rH   rI   test_2d_axis1_with_zero_  rt  z#TestHarMean.test_2d_axis1_with_zeroc                 C   s:   g dg dg dg}t g dg}tt ||dd d S r   )r   r  r  rH   rH   rI   test_2d_matrix_axis0d  s   z TestHarMean.test_2d_matrix_axis0c                 C   s<   g dg dg dg}t g dgj}tt ||dd d S r
  )r   r   r  r  rH   rH   rI   test_2d_matrix_axis1j  s   z TestHarMean.test_2d_matrix_axis1N)r   r   r   r  r  r  r  r  r  r  r	  r  r  r  r  rH   rH   rH   rI   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dd Zdd Zdd Zdd ZdS ) TestGeoMeanc                 C   s:   g d}d}t || g d}tdd}t ||dd d S )Nr  sŤF@r   r  r  r'  rt  )r  r   r  rH   rH   rI   r  r  s   

zTestGeoMean.test_1d_listc                 C   sF   t g d}d}t|| tg dt}tdd}t||td d S )Nr  r  r   r  r  rN   )rX   r   r  r   r   r  rH   rH   rI   r  |  s   

zTestGeoMean.test_1d_arrayc                 C   r  Nr  r  r  g/,$qJ@r  r  rH   rH   rI   r    r  zTestGeoMean.test_2d_listc                 C   s,   g dg dg dg}d}t t|| d S r  )r  r   r  rH   rH   rI   r    s   zTestGeoMean.test_2d_arrayc                 C   sl   g dg dg dg}t g d}t||dd tg dg dg dg}tg d}t||ddd	 d S 
Nr  r  r  )g4@A@g5H@g`8|wЭN@gm~&+R@r   rP   r   r'  rQ   r  rX   r   r  r  rH   rH   rI   r    s   zTestGeoMean.test_2d_axis0c                 C   sx   g dg dg dg}t g d}t||dd tg dg dg dg}tdd	}t|||g}t||dd
d d S Nr  r  r  )gD" 6"6@gcP@g
ҧZ@r   rP   r   r  r  r'  r  )rX   r   r  r   rD   r   r  r  rH   rH   rI   r    s   
zTestGeoMean.test_2d_axis1c                 C   s   g dg dg dg}t g dg}tt ||dd tg dg dg dg}t g d}tt ||ddd	 tg dg dg dg}t tj|dd}tt ||ddd	 d S r  )r   r  r   r@   r  r  rH   rH   rI   r    s   z TestGeoMean.test_2d_matrix_axis0c                 C   s   g dg dg dg}t g dgj}tt ||dd tg dg dg dg}tdd	}t |g|g|gg}tt ||dd
d d S r  )r   r   r  r   r   r  rH   rH   rI   r    s   
z TestGeoMean.test_2d_matrix_axis1c                 C   s"   t g d}d}t||dd d S )N)g}Ô%ITr   gu <7~r   r$  rt  )r   r  r  rH   rH   rI   test_large_values  s   zTestGeoMean.test_large_valuesc                 C   sH   g d}d}t jdd t|| W d    d S 1 sw   Y  d S )N
rd   r   r  r  r  r  r   r  r|  r   rl   rV  rM  )rX   rY  r  r  rH   rH   rI   test_1d_list0  s
   "zTestGeoMean.test_1d_list0c                 C   sN   t g d}d}t jdd t|| W d    d S 1 s w   Y  d S )Nr  rl   rV  )divide)rX   r   rY  r  r  rH   rH   rI   test_1d_array0  s
   "zTestGeoMean.test_1d_array0c                 C   sJ   g d}t j}t jdd t|| W d    d S 1 sw   Y  d S )N)
rd   r   r  r  r  r  r   r  r|  r}   rV  rW  )rX   r\   rY  r  r  rH   rH   rI   test_1d_list_neg  s
   "zTestGeoMean.test_1d_list_negc                 C   s(   g d}g d}d}t |||dd d S )Nr$   r'   r(   r&   r%   r}  GZ*oG8@h㈵>r  r  r  )rD   r  r   r  rH   rH   rI   test_weights_1d_list  s   z TestGeoMean.test_weights_1d_listc                 C   s4   t g d}t g d}d}t|||dd d S )Nr}  r   r!  r"  r#  r  rD   r   r  r  rH   rH   rI   test_weights_1d_array  s   z!TestGeoMean.test_weights_1d_arrayc                 C   s>   t g d}t jjg dg dd}d}t|||dd d S )NrX  )r$   r'   r(   r&   r%   r'   )r   r   r   r   r   r   r>  r!  r"  r#  )rX   r   r  r  r%  rH   rH   rI   test_weights_masked_1d_array  s   z(TestGeoMean.test_weights_masked_1d_arrayN)r   r   r   r  r  r  r  r  r  r  r  r  r  r  r  r$  r&  r'  rH   rH   rH   rI   r  q  s     

r  c                   @   s   e Zd Zedd ZdZedddZdd Z	d	d
 Z
dd Zdd Zdd Zdd Zdd Zdd Zdd Zdd Zdd Zdd Zdd  Zd!d" Zd#S )$TestGeometricStandardDeviationr  r   gv aZ@r$   r%   r&   c                 C   s   t | j}t|| j d S r3  )r@   gstdarray_1dr   gstd_array_1drD   gstd_actualrH   rH   rI   r    s   z,TestGeometricStandardDeviation.test_1d_arrayc                 C   s    t t| j}t|| j d S r3  )r@   r)  r  r*  r   r+  r,  rH   rH   rI    test_1d_numeric_array_like_input     z?TestGeometricStandardDeviation.test_1d_numeric_array_like_inputc                 C   s>   t jtdd td W d    d S 1 sw   Y  d S )NzInvalid array inputro   z3This should fail as it can not be cast to an array.)r  r   rt   r@   r)  r   rH   rH   rI   ,test_raises_value_error_non_array_like_input  s   "zKTestGeometricStandardDeviation.test_raises_value_error_non_array_like_inputc                 C   J   t jtdd tt| jdg W d    d S 1 sw   Y  d S )NNon positive valuero   r   r  r   rt   r@   r)  rX   r  r*  r   rH   rH   rI   "test_raises_value_error_zero_entry     "zATestGeometricStandardDeviation.test_raises_value_error_zero_entryc                 C   r1  )Nr2  ro   r}   r3  r   rH   rH   rI   &test_raises_value_error_negative_entry
  r5  zETestGeometricStandardDeviation.test_raises_value_error_negative_entryc                 C   sL   t jtdd tt| jtjg W d    d S 1 sw   Y  d S )NzInfinite valuero   )	r  r   rt   r@   r)  rX   r  r*  r   r   rH   rH   rI   !test_raises_value_error_inf_entry  s   "z@TestGeometricStandardDeviation.test_raises_value_error_inf_entryc                 C   sB   t g dtjdddgg}tj|dd}t|t dtjg d S )N)r   r   r   r   r   r$   r%   rP   r&   )r   rX   r\   r@   r)  r   )rD   r   r-  rH   rH   rI   test_propagates_nan_values  s   z9TestGeometricStandardDeviation.test_propagates_nan_valuesc                 C   sH   t jtdd tj| j| jjd W d    d S 1 sw   Y  d S )NzDegrees of freedom <= 0ro   rK   )r  r   rt   r@   r)  r*  r   r   rH   rH   rI   )test_ddof_equal_to_number_of_observations  s   "zHTestGeometricStandardDeviation.test_ddof_equal_to_number_of_observationsc                 C   s    t j| jd d}t|| j d S )NrP   )r@   r)  array_3dr   r+  r,  rH   rH   rI   test_3d_array  r/  z,TestGeometricStandardDeviation.test_3d_arrayc                 C   s"   t j| jdd}t|ddg d S )Nr  rP   g~d@g<
?)r@   r)  r:  r   r,  rH   rH   rI   test_3d_array_axis_type_tuple  s   z<TestGeometricStandardDeviation.test_3d_array_axis_type_tuplec                 C   s:   t j| jdd}tg dg dg dg}t|| d S )Nr   rP   )gĶ?@gQӫ@g֌@gן7R@)g%Ȁ@ge@gv6B5 @g _?)gE ?gީ?gk̊Y?g%:?r@   r)  r:  rX   r   r   rD   r-  gstd_desiredrH   rH   rI   test_3d_array_axis_0#  s   z3TestGeometricStandardDeviation.test_3d_array_axis_0c                 C   4   t j| jdd}tg dg dg}t|| d S )Nr   rP   )gN@g85@g'ĥ?gwth?)gHnaX?gG?gBu?gE?r=  r>  rH   rH   rI   test_3d_array_axis_1,     z3TestGeometricStandardDeviation.test_3d_array_axis_1c                 C   rA  )Nr$   rP   )gt80?gі?g?)gۘ]~?gmT6(?g	G?r=  r>  rH   rH   rI   test_3d_array_axis_24  rC  z3TestGeometricStandardDeviation.test_3d_array_axis_2c                 C   s^   t j| jdk| j}tj|dd}tj| jdd}g dg dg}t|| t|j| d S )Nr   r$   rP   r  r[  )	rX   r  masked_wherer:  r@   r)  r   r   r?  )rD   r  r-  r?  r?  rH   rH   rI   test_masked_3d_array<  s   
z3TestGeometricStandardDeviation.test_masked_3d_arrayN)r   r   r   rX   r   r*  r+  rW   r:  r  r.  r0  r4  r6  r7  r8  r9  r;  r<  r@  rB  rD  rF  rH   rH   rH   rI   r(    s$    	r(  c               	   C   s   t t dddt dddt dddf} d}d	}g d
}t| |D ]\}}tt||||dd| d q$ttdddddd d S )Nr   r  r'   rH  g?g333333?gffffff?r  i  )rl   rl   gs  gG|G{g	ɺM>6g>
ztt+g#ӌRM/gF׸fz2gU8u5g8M8gФ)Ba?g%վ?g*+a5?gś?gڒJ|>r  zfail forp=%f)r;   err_msgr  r   gVݶ3;r:   )rX   r  r  r   r
   r@   
binom_test)ppr=  ru   resultsr   r   rH   rH   rI   test_binomtestE  s   
rK  c                     s   ddgg dg dg dg dg dg dg dg d	g d
g
} t ddD ]  fddt  d D }t||  d  dd q%d S )Nr   )r-   r   r-   )r  r   r   r  )r|  rW  r   rW  r|  )r~        ?r   r   rL  r~  )r        ?      ?r   rN  rM  r  )r{  r|        ?r   r   rO  r|  r{  )	      ?      ?     ?     @?r   rS  rR  rQ  rP  )
      p?      ?      ?     @?r   r   rW  rV  rU  rT  )      `?      ?      ?      ?      ?r   r\  r[  rZ  rY  rX  r   r   c                    s   g | ]	}t | d qS )r-   )r@   rH  )r5  r  r*  rH   rI   r8  r  s    z#test_binomtest2.<locals>.<listcomp>rd   rR   )r:  r   )r]  r\  rH   r]  rI   test_binomtest2]  s   r^  c                  C   s   dd t ddD } t| tt| t tg d}tg d}dd t ddD }dd t ddD }t||d	d
 t||d	d
 d S )Nc              	   S   s2   g | ]}t d dD ]}t||| d| q	qS )r$   r   r   r:  r@   rH  r5  r  r*  rH   rH   rI   r8  y  s
    
z#test_binomtest3.<locals>.<listcomp>r   r   )Zr-   grq?g     ?glq?gx0f#?g%d)MO?g   	o?g6?g:X@?rW  gsw?g    ?gR'jMV?gEf?gF5a?gAQU?g'W?gk?rN  g
ņB?g  ?g$?g{dU'?gD:B?gwV?gR0Nf?gOq?rS  g[k^?g T+?gO?gggh(?gP-@?gOQ?g}^?gV7_i?r\  ge$?gр?g#>?g5z@?g:?gf?gzP?g  ?     ?gg*),?g}A_?g}aA?gH]@_?g
y7s?gPG?g>)\R?gjc6?K?go; ,?g!O0?g?g}e?g5?g?!A^?gN/#?g*?    @?g?g?g3?g.1?gdT\1-?gt0W59?goQC?gX4J?   ?g
?gf?C"?g\6I?g4b?g|$or?gWNS~?gT?gXnc?   \?gY\?gp ^a?gX-K?g#c?g
3?g75Q?gMJ[?gP8R?)Zr-   gw	%?g     ?gS g?gv^?g*uCi?g  a?g]?gE9Q?rW  g/?g     ?g	x&~?g#?g5B?g	A'9?gpZ?gWV$u?rN  gqIb?g  @N?g1Y?g5?gO?gc-?gk?g )?rS  glMV?g?$?gT*r?gCqRv?grx?gωZ?gExY?g<T ?r\  gJ9Ͻd?g `Ԗt?gT?gEz?gQ?g7C<*?g<?g~ K?ra  g8?g~ȍEt?g⿒?g<v?gHE:?g8Z$?gbº5?gvC?rb  g`Yw?gA?$??gE=?g4?g3?g{G9?gp?gH ?rc  gz6f?g¯F?g(+?g	$V?gq^ws?g!?gXNJ?gK?rd  g4P?g<q?gdV;?gy?g$w?gU<vO?gMX?g	șz*?re  giqSp?gMM?g0V$)?g]
yi/Q?gl?gl?g3Ȇ?gѾ_c?c              	   S   s6   g | ]}t d dD ]}t|d || d| q	qS r$   r   r   r   r_  r`  rH   rH   rI   r8    
    
 c              	   S   s6   g | ]}t d dD ]}t|d || d| q	qS rf  r_  r`  rH   rH   rI   r8    rg  rn  rR   )r:  r   rX   r:  r  r  r   r   )ry  binom_testm1binom_testp1res4_p1res4_m1rH   rH   rI   test_binomtest3v  s   	(rl  c                   @   r  )TestTrimc                 C   s   t d}tt t|dt d tt t|dt d tt tj|dddt dd tt tj|d	ddt d
d tt|dg  ttj|dddg  ttg dg  ttjg d	ddg  ttg dg  d S )Nr   r   rd   r  r+   left)tailr$   tE]t?r%   r   r  )rX   r   r   sortr@   trim1r  rH   rH   rI   
test_trim1  s   


zTestTrim.test_trim1c              	   C   s  t d}tt t|dt dd tt t|dt g d tt tt ddd	dt d	d
d	d	 tt tt dd	djdt g dg dg t	t
tjt dd	djd ttg dg  ttg dg  ttg dg  d S )Nr   rp  r%   r*   r  )r$   r%   r&   r'   r(   r)   r*   r  r(   r&   r   r   )r$   r*   r=  r   )r%   r+   r   r   r  r   )rX   r   r   rq  r@   trimbothr   rW   r   rs   rt   r  rH   rH   rI   test_trimboth  s&   
  zTestTrim.test_trimbothc           
      C   s  t g d}t g d}t ddd|d d f }t djdddd|d d f }tt|dt g d	 tt|dt g d
 t g d}t ddd|d d f }tt|dt g d g d}tt|dd ttg ddd t jd t jj	ddd}dD ]}tj|d|d}tt 
||d}	t||	 qtj|dd d}t| d}	t||	 tttj|d ttg dt j ttg dt j d S )N)r&   r*   r$   r   r+   r'   rd   r   r)   r%   r(   )r%   r'   r   r   r$   r&   r  r(   r&   F)orderr   )r/   r5   g      -@g     4@r*  )r   r   r%   r$   )rz   rg   r  r  r+  g      ,@)r)   r   r  r   r   r(   r>  r   r'   r   r\  rd   rK  r+   r]  r   r  r   r$   r=  r&   rn  r*   r%   g      '@)r'   r&   r%   r   r$   r   r/   r  r   )r'   r(   r&   r)   r  )r   r   r$   r%   r}   rP   rJ  rl   )rX   r   r   rW   r   r@   	trim_meanr  r  r.  r  r,  rs   rt   r\   )
rD   r   idxr|  r}  idx4a4rQ   r\  r]  rH   rH   rI   test_trim_mean  s<   "
zTestTrim.test_trim_meanN)r   r   r   rs  ru  r|  rH   rH   rH   rI   rm    s    rm  c                   @   r  )TestSigmaClipc                 C   s   t t dddt dddf}d}t|\}}}t| |k t| |k  t||	 ||
    t||	 ||
    t|j|j d S )Nr        %@   r   r   r'   r&   rX   r  r  r@   	sigmaclipr   minmaxr   r  ra   r   rD   r   factr  lowupprH   rH   rI   test_sigmaclip1   s   "zTestSigmaClip.test_sigmaclip1c                 C   s   t t dddt dddf}d}t|||\}}}t| |k t| |k  t||	 ||
    t||	 ||
    t|jd t|jd	 d S )
Nr  r~  r  r   r   r'   r.   r&   $   r  r  rH   rH   rI   test_sigmaclip2*  s   "zTestSigmaClip.test_sigmaclip2c                 C   s   t t dddt dddf}d}t|||\}}}t| |k t| |k  t||	 ||
    t||	 ||
    t|t ddd d S )Nr  r~  r   r%   ?)rX   r  r  r@   r  r   r  r  r   r  ra   r  rH   rH   rI   test_sigmaclip35  s   zTestSigmaClip.test_sigmaclip3c                 C   sF   t t dddt dddf}d}t|||}d}t|| d S )	Nr  r~  r   r  r  r%   r  )clippedrb  rc  )rX   r  r  r@   r  r   )rD   r   r  r   rV  rH   rH   rI    test_sigmaclip_result_attributes@  s   z.TestSigmaClip.test_sigmaclip_result_attributesc                 C   s"   t d}tt|d | d S )Nrd   r   )rX   r:  r   r@   r  r#  rH   rH   rI   test_std_zeroH  s   
zTestSigmaClip.test_std_zeroN)r   r   r   r  r  r  r  r  rH   rH   rH   rI   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 )TestAlexanderGovernc           
      C   s   g dg dg dg dg}t j|t jd}t j|t jd}t j|t jd}t j|t jd}tj| }tj| }tj| }tj| }	|j|j  krV|j  krV|	jksYJ  J |j	|j	  krm|j	  krm|	j	kspJ  J d S )N)	rn  rn  rn  rn  rn  rn  rn  r  r  )	r=  rn  r  r  r  r  r  r   r   )	r=  r=  rn  rn  rn  rn  rn  r  r  )	r   r=  rn  rn  rn  r  r  r  r   rN   )
rX   r   r  rx  uint8r   r@   alexandergovernr  r  )
rD   r  
args_int16
args_int32
args_uint8args_float64	res_int16	res_int32	res_unit8res_float64rH   rH   rI   test_compare_dtypesO  s.   



z'TestAlexanderGovern.test_compare_dtypesc                 C   sH  t tdd tddgg  W d    n1 sw   Y  t tdd tddgd W d    n1 s7w   Y  t tdd tddgdg W d    n1 sVw   Y  t tdd tddgtjtjg W d    n1 sxw   Y  t tdd tddgddgddgg W d    d S 1 sw   Y  d S )	Nz+Input sample size must be greater than one.ro   r   r$   zInput samples must be finite.z%Input samples must be one-dimensionalr%   r&   )rs   rt   r@   r  rX   r   r   rH   rH   rI   test_bad_inputsc  s   "z#TestAlexanderGovern.test_bad_inputsc                 C   sB   g d}g d}g d}t |||}t|jd t|jd dS )a  
        Data generated in R with
        > set.seed(1)
        > library("onewaytests")
        > library("tibble")
        > y <- c(rnorm(40, sd=10),
        +        rnorm(30, sd=15),
        +        rnorm(20, sd=20))
        > x <- c(rep("one", times=40),
        +        rep("two", times=30),
        +        rep("eight", times=20))
        > x <- factor(x)
        > ag.test(y ~ x, tibble(y,x))

        Alexander-Govern Test (alpha = 0.05)
        -------------------------------------------------------------
        data : y and x

        statistic  : 1.359941
        parameter  : 2
        p.value    : 0.5066321

        Result     : Difference is not statistically significant.
        -------------------------------------------------------------
        Example adapted from:
        https://eval-serv2.metpsy.uni-jena.de/wiki-metheval-hp/index.php/R_FUN_Alexander-Govern

        )(g5gb?gl"k g^s/@gQ\
@gRh gIF@gpZ>q@g7D @g-ѪZng(Q<.@gON/@g	Ogҷ%6gs&@gw)ܿg789Ŀgzp"@gzl @g57@g>m@*a"@g,ZbI@gX9
]?g3g1@gg"Jbgy:@j-g2A g;@gL97vp,+@gp/rg"@gfT|7g^v+g٘Yg0/gglA! &@go@)g!_5*gqTEgg1$@g	a, @gˤ$g9%gZ@gT6U'@gS g6aGn*@gO@g\\"g^4w@g0gr~5@gDP=@gٿԙg:4R/gOx]r!@gU4 gta)B@g,Gg2$@gD%?gI,VL&g@gч
;g5@gWJc@gYjK@@)gj7#@g<e,g}m(@gr2g#^9gr/P@g:RO!g'9?g6F
?gcʱ'gt*&gg~*0Ώ7@gWzx>gIK'@g?Ң@g7C5@g;C>ϯUg7@g)n}.^@gFQ?gsdlT6?Nr@   r  r   r  r  )rD   onetwoeightsolnrH   rH   rI   test_compare_rx  s   z"TestAlexanderGovern.test_compare_rc                 C   sd   g d}g d}g d}t |||}t|jddd t|jddd 	 t|jd	 t|jd
 dS )z
        Data taken from 'The Modification and Evaluation of the
        Alexander-Govern Test in Terms of Power' by Kingsley Ochuko, T.,
        Abdullah, S., Binti Zain, Z., & Soaad Syed Yahaya, S. (2015).
        )g{G&~@g(\E~@g=
ףp~@gfffff~@gp=
~@gףp=
k@gR@gQ2@g8@g`@g)\`@g=
ףp@g(\#@g@g=
ףpE@gQ@g
ףp=@gףp=
Մ@g33333#@)g=
ףpt@g{G&u@gq=
ףv@gQDy@g     X{@g\(P}@g]~@gt~@gzG~@g)\~@g1@gzG@)gGz8@g     @gp=
ב@g
ףp=@gGzԀ@gq=
ףր@gRi@g{Gt@gw@g=
ףp@gQS@gQ@g(\©@gQ-@gQ@g]FxK@MbP?r   g R8߱?r  g.UikL@g&Zݱ?Nr  )rD   youngmiddleoldr  rH   rH   rI   test_compare_scholar  s   z(TestAlexanderGovern.test_compare_scholarc                 C   sZ   g d}g d}t ||}t|jddd t|jddd 	 t|jd t|jd d	S )
aA  
        Data taken from 'Robustness And Comparative Power Of WelchAspin,
        Alexander-Govern And Yuen Tests Under Non-Normality And Variance
        Heteroscedasticity', by Ayed A. Almoied. 2017. Page 34-37.
        https://digitalcommons.wayne.edu/cgi/viewcontent.cgi?article=2775&context=oa_dissertations
        )gQhgMOgY9gnSgdȿg}"Ogиp $?g8~4?g
p?gZ?g)J=?gX?gpG?gᛦ?gg?gh8en?g?guwg?gbX?g9SI?)gN]g	cZgAJigMg'gk,	Pg<gΈ׿g%zrKտg0BxҿgPNg:ǀgvꭁg?k~?gI\߇?gi?g<)?g0Xr?g
F%u?gsFZ*o?g7n:?g[z4?r"  r   gOZ}?g9$?g6MDd}?Nr  )rD   rZ  r[  r  rH   rH   rI   test_compare_scholar3  s   z)TestAlexanderGovern.test_compare_scholar3c                 C   s<   g ddt jgg}tj| }t|jt j t|jt j d S )Nr   r   rX   r\   r@   r  r   r  r  )rD   r  r   rH   rH   rI   test_nan_policy_propogate  s   
z-TestAlexanderGovern.test_nan_policy_propogatec                 C   sT   g ddt jgg}ttdd tj|ddi W d    d S 1 s#w   Y  d S )Nr   r   r  ro   rk   rm   )rX   r\   rs   rt   r@   r  rD   r  rH   rH   rI   test_nan_policy_raise%  s   "z)TestAlexanderGovern.test_nan_policy_raisec                 C   s`   g ddt jddgg}g dg dg}tj|ddi}tj| }t|j|j t|j|j d S )	N)r   r$   r%   Nr&   r   r]  r   r   )r   r]  r   rk   ri   r  )rD   args_nanargs_no_nanres_nan
res_no_nanrH   rH   rI   test_nan_policy_omit*  s   
z(TestAlexanderGovern.test_nan_policy_omitc                 C   s^   t t! tg dg d}t|jtj t|jtj W d    d S 1 s(w   Y  d S r   )	r   r!   r@   r  r   r  rX   r\   r  r  rH   rH   rI   r   2  s   

"z'TestAlexanderGovern.test_constant_inputN)r   r   r   r  r  r  r  r  r  r  r  r   rH   rH   rH   rI   r  N  s    B22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e	j
deg deg dejdffeg deg dejejffgdd Ze	j
dg ddd Zdd Zdd Zdd Zdd Ze	j
dd g d!fgd"d# Zd$d% Zd&d' Zd(S ))TestFOneWayc                 C   s0   t ddgddg\}}t|d t|d d S )Nr   r$   rl   r   r@   f_onewayr   rD   rv  r   rH   rH   rI   test_trivial=  s   
zTestFOneWay.test_trivialc                 C   s>   t ddgddg\}}t|d t|dtd dd d S )	Nr   r$   r&   r  r   r-   r'  rt  )r@   r  r   r   rX   r   r  rH   rH   rI   r   C  s   
zTestFOneWay.test_basicc                 C   s2   t dgdgg d\}}t|d t|d d S )Nr$   r  rJ  rW  r  r  rH   rH   rI   test_known_exactJ  s   
zTestFOneWay.test_known_exactc                 C   sJ   t jddgt jd}t jddgt jd}t||\}}t|ddd d S )	N    rN       gŸ?r'  rt  )rX   r   uint16r@   r  r   )rD   r   r   rv  r   rH   rH   rI   test_large_integer_arrayT  s   z$TestFOneWay.test_large_integer_arrayc                 C   sF   t jddgt jd}t jddgt jd}t||}d}t|| d S )Nr  r  rN   r  r  r  )rX   r   r  r@   r  r   )rD   r   r   r   rV  rH   rH   rI   test_result_attributes\  s
   z"TestFOneWay.test_result_attributesc              	      s
  g d}|D ]|}d}t jt jt jtd|}t|d}| d}W d    n1 s1w   Y  dd |dd	 D }t	j
|d
d}|j\ tt	}	t|d d } fdd|	D }
tj|
 }d}||v rvd}t|d ||d| d qd S )N)z
SiRstv.datz
SmLs01.datz
SmLs02.datz
SmLs03.datzAtmWtAg.datz
SmLs04.datz
SmLs05.datz
SmLs06.dat
SmLs07.dat
SmLs08.dat
SmLs09.datr   zdata/nist_anovar   
c                 S   s   g | ]
}|  r| qS rH   )stripsplit)r5  linerH   rH   rI   r8  p  s    z)TestFOneWay.test_nist.<locals>.<listcomp>r  r/  r  )skiprowsr   r}   c                    s   g | ]} |k qS rH   rH   r4  r>  rH   rI   r8  x  s    )r  r  r  r  zFailing testcase: %s)r  rG  )ospathabspathjoindirname__file__openreadr  rX   loadtxtr   rw  r  r  rd  r@   r  r   )rD   	filenames	test_caser  fnamefcontent	certifieddatafcatyxlistr   hard_tcrH   r>  rI   	test_nistc  s0   



zTestFOneWay.test_nistza, b, expected)r  r  r  )r)   r)   r)   r   c                 C   sP   t tj t||\}}|sJ ||kW d    d S 1 s!w   Y  d S r3  )r   r@   F_onewayConstantInputWarningr  )rD   r   r   rz  r  r   rH   rH   rI   r     s   "zTestFOneWay.test_constant_inputrQ   )r<  r}   r   r   c                 C   s  t g dg dg dg dg dg}t g dg dg dg dg d	g d
g dg dg}t g dg dg dg dg}|dv rR|j}|j}|j}d}nd}ttj tj||||d\}}W d    n1 sow   Y  dD ],}tt |||t |||t |||\}	}
t|| |	dd t|| |
dd qvdD ]=}ttj. tt |||t |||t |||\}	}
t	|| |	 t	|| |
 W d    n1 sw   Y  qd S )N)r   r&   r%   r%   )r$   r'   r%   r%   )r%   r(   r%   r%   )r$   r%   r%   r%   )r%   r   r'   r%   )r&   r(   r'   r%   )r&   r%   r'   r%   )r   r'   r'   r%   )r'   r'   r'   r%   )r$   r%   r'   r%   )r*   r$   r'   r%   )r$   r$   r'   r%   )r&   r%   r&   r%   )r&   r$   r&   r%   )r'   r&   r&   r%   )r}   r   r   r   rP   r{  r'  rt  r2  )
rX   r   r   r   r@   r  r  taker   r   )rD   rQ   r   r   r  	take_axisr  r   r7  fjpjrH   rH   rI   test_2d_inputs  s^   


zTestFOneWay.test_2d_inputsc           
   
   C   s  dt ddddd }dt dddd	d }t dt dd
ddd }tj|||dd\}}|jdks<J |jdksCJ t|jd D ]<}t|jd D ]2}t||d d |f ||d d |f ||d d |f \}}	t||||f  t|	|||f  qSqJd S )Nr   r      r&   r'   r)   r$      r*   q   rP   )r&   r)   r   )	rX   r   rW   cosr@   r  r  r:  r   )
rD   r   r   r  r  r   r6  r7  fijpijrH   rH   rI   test_3d_inputs  s    <zTestFOneWay.test_3d_inputsc                 C   sX   t tj tg dg g d}t|tjtjf W d    d S 1 s%w   Y  d S )Nr   r  r   r@   F_onewayBadInputSizesWarningr  r   rX   r\   r  rH   rH   rI   test_length0_1d_error  s   "z!TestFOneWay.test_length0_1d_errorc                 C   s   t tj< d}td|f}td|f}td|f}t|||\}}tj|ftjd}t|| t|| W d    d S 1 sDw   Y  d S )Nr%   r&   r   r'   rS  )	r   r@   r  rX   r:  r  rY   r\   r   )rD   ncolsr   r   r  r  r   nansrH   rH   rI   test_length0_2d_error  s   
"z!TestFOneWay.test_length0_2d_errorc                 C   sZ   t tj tdgdgdgdg}t|tjtjf W d    d S 1 s&w   Y  d S )Nrd   r   r  rn  r  r  rH   rH   rI   test_all_length_one  s   "zTestFOneWay.test_all_length_oner  rH   r   c                 C   s8   t t tj|  W d    d S 1 sw   Y  d S r3  )rs   r]  r@   r  r  rH   rH   rI   test_too_few_inputs  s   
"zTestFOneWay.test_too_few_inputsc                 C   sT   t d}t d}tt j tj||dd W d    d S 1 s#w   Y  d S )Nr  r'   r&   r$   rP   )rX   r:  rs   r  r@   r  rD   r   r   rH   rH   rI   test_axis_error  s
   

"zTestFOneWay.test_axis_errorc                 C   sR   t d}t d}tt tj||dd W d    d S 1 s"w   Y  d S )Nr  r  r   rP   )rX   r:  rs   rt   r@   r  r  rH   rH   rI   test_bad_shapes  s
   


"zTestFOneWay.test_bad_shapesN)r   r   r   r  r   r  r  r  r  r  r  r  rX   r   r   r\   r   r  r  r  r  r  r  r  r  rH   rH   rH   rI   r  ;  s,    
 "$

.
r  c                   @   s\   e Zd Zdd Zdd Zdd Zdd Zd	d
 Zdd Zdd Z	dd Z
dd Zdd ZdS )TestKruskalc                 C   s|   dg}dg}t ||\}}t|d t|t jj|d t t|t|\}}t|d t|t jj|d d S )Nr   r$   r   )	r@   kruskalr   r
   r  r
  r  rX   r   rD   ru   rE   hr   rH   rH   rI   test_simple  s   

zTestKruskal.test_simplec                 C   s   g d}g d}t ||\}}t|ddd t|t jjdd t t|t|\}}t|ddd t|t jjdd d S )Nry   r$   r&   r(   r*   rd   rp  rd   r:   r   )r@   r  r
   r  r
  r  rX   r   r  rH   rH   rI   r      s   zTestKruskal.test_basicc                 C   s<   dg}ddg}d}d}|| }t ||\}}t|| d S )Nr   r$   rL  r  )r@   r  r   rD   ru   rE   h_uncorrr>  rz  r  r   rH   rH   rI   test_simple_tie
  s   zTestKruskal.test_simple_tiec                 C   sJ   g d}g d}d}dt dd  }|| }t||\}}t|| d S )N)r   r   r   r$   )r$   r$   r$   r$   r   r        )rd  r@   r  r
   r  rH   rH   rI   test_another_tie  s   zTestKruskal.test_another_tiec           	      C   sj   g d}g d}ddg}d}dt dd  }|| }t|||\}}t|| t|tjj|d d S )Nr  r  r$   r9   r   r   r  )rd  r@   r  r
   r  r
  r  )	rD   ru   rE   r  r  r>  rz  r  r   rH   rH   rI   test_three_groups  s   
zTestKruskal.test_three_groupsc                 C   s4   g d}g d}g }t t|||tjtjf d S )Nr  r  )r   r@   r  rX   r\   r  rH   rH   rI   r  *  s    zTestKruskal.test_emptyc                 C   sZ   dg}dg}t jdd}ttdd t||| W d    d S 1 s&w   Y  d S )Nr   r$   z Samples must be one-dimensional.ro   )rX   r  r(  rs   rt   r@   r  r  rH   rH   rI   test_nd_arrays1  s   "zTestKruskal.test_nd_arraysc                 C   s.   g d}g d}t ||}d}t|| d S )Nry   r  r  )r@   r  r   )rD   ru   rE   r   rV  rH   rH   rI   test_kruskal_result_attributes:  s
   z*TestKruskal.test_kruskal_result_attributesc                 C   r  )Nrg   r+   ri   rj   r   rm   rn   )	rX   r   r\   r   r@   r  r   rs   rt   r#  rH   rH   rI   r%  A  s   

zTestKruskal.test_nan_policyc                 C   sB   d}t j|}t j|d }t||\}}d}t|| d S )Nr  r  r   )rX   r  r  r@   r  r
   )rD   r=  ru   rE   r  r   rz  rH   rH   rI   test_large_no_samplesI  s   z!TestKruskal.test_large_no_samplesN)r   r   r   r  r   r  r  r  r  r  r  r%  r  rH   rH   rH   rI   r    s    

		r  c                   @   r  )TestCombinePvaluesc                 C   (   t jg ddd\}}t|ddd d S )Nr  r  r  r  r  gf?r&   r:   r@   combine_pvaluesr
   )rD   xsqr   rH   rH   rI   test_fisherU  s   zTestCombinePvalues.test_fisherc                 C   r  )Nr	  stoufferr  S:X?r&   r:   r
  rD   Zr   rH   rH   rI   test_stoufferZ     z TestCombinePvalues.test_stoufferc                 C   r  )N)r-   r-   r-   r  r  r-   r&   r:   r
  r  rH   rH   rI   test_stouffer2^  r  z!TestCombinePvalues.test_stouffer2c                 C   0   t jg ddtdd\}}t|ddd d S )Nr	  r  r%   r  r  r  r&   r:   )r@   r  rX   r:  r
   r  rH   rH   rI   test_weighted_stoufferb     
z)TestCombinePvalues.test_weighted_stoufferc                 C   r  )Nr	  r  )r   r&   r+   r  g46<?r&   r:   )r@   r  rX   r   r
   r  rH   rH   rI   test_weighted_stouffer2g  r  z*TestCombinePvalues.test_weighted_stouffer2c                 C   r  )Nr	  r  r  g&J?r&   r:   r
  r  rH   rH   rI   test_pearsonl  r  zTestCombinePvalues.test_pearsonc                 C   r  )Nr	  tippettr  g
}?r&   r:   r
  r  rH   rH   rI   test_tippettp  r  zTestCombinePvalues.test_tippettc                 C   r  )N)r   r   r   mudholkar_georger  g&?r&   r:   r
  r  rH   rH   rI   test_mudholkar_georget  r  z(TestCombinePvalues.test_mudholkar_georgec                 C   s\   t jg ddd\}}t jg ddd\}}t jg ddd\}}td||  |dd d S )	Nr	  r  r  r  r  r-   r&   r:   r
  )rD   r  r   Z_fp_fZ_pp_prH   rH   rI   0test_mudholkar_george_equal_fisher_minus_pearsonx  s   zCTestCombinePvalues.test_mudholkar_george_equal_fisher_minus_pearsonN)r   r   r   r  r  r  r  r  r  r  r  r#  rH   rH   rH   rI   r  S  s    r  c                   @   s8   e Zd ZdZdd Zdd Zdd Zdd	 Zd
d ZdS )TestCdfDistanceValidationzg
    Test that _cdf_distance() (via wasserstein_distance()) raises ValueErrors
    for bad inputs.
    c                 C   s<   t ttjdgdgdgddg t ttjdgdgddg d S )Nr   r$   r&   r%   r   rs   rt   r@   wasserstein_distancer   rH   rH   rI   &test_distinct_value_and_weight_lengths  s   z@TestCdfDistanceValidation.test_distinct_value_and_weight_lengthsc                 C   s@   t ttjddgdgddg t ttjddgdgddgdg d S )Nr   r   r$   r%   r%  r   rH   rH   rI   test_zero_weight  s   z*TestCdfDistanceValidation.test_zero_weightc                 C   s(   t ttjddgddgddgddg d S )Nr   r   r$   r%   r}   r%  r   rH   rH   rI   test_negative_weights  s   z/TestCdfDistanceValidation.test_negative_weightsc                 C   s*   t ttjg ddg t ttjdgg  d S )Nr$   r   r%  r   rH   rH   rI   test_empty_distribution  s   z1TestCdfDistanceValidation.test_empty_distributionc                 C   s,   t ttjg dddgdtjdgddg d S )Nr  r   )rs   rt   r@   r&  rX   r   r   rH   rH   rI   test_inf_weight  s   z)TestCdfDistanceValidation.test_inf_weightN)	r   r   r   r   r'  r(  r)  r*  r+  rH   rH   rH   rI   r$    s    r$  c                   @   sH   e Zd ZdZdd Zdd Zdd Zdd	 Zd
d Zdd Z	dd Z
dS )TestWassersteinDistancez5 Tests for wasserstein_distance() output values.
    c                 C   s   t tddgdgddgdgd t tddgdgddgdgd t tddgdgddgdgd t tg dg dd d S )	Nr   r   r-   r%   r  r$   r  r   r   r@   r&  r   rH   rH   rI   r    s&   z#TestWassersteinDistance.test_simplec                 C   D   t tg dg dd t tg dddgg dddgd d S 	Nr   r$   r   r%   r   )r   r   r   r&   r&   r   r  r%   )r   r@   r&  r   rH   rH   rI   test_same_distribution  s   z.TestWassersteinDistance.test_same_distributionc                 C   sp   t tdgdgd t tdgdgd t tg dg dd t tg dg d	g d
g dd d S )Nr   r   ry  r'   rd   r}  )r   r  rn  r=  r   )r1   g@r  )r  r)   rl  )r%   r   r   )r   r%   r   r/   r-  r   rH   rH   rI   
test_shift  s   z"TestWassersteinDistance.test_shiftc              	   C   F   t tg dg dg dg dtg dg dg dg d d S N)r   r   r   r   r   r   r'   )r   r%   r%   r%   r%   r&   r&   )r   r   r   r   r   r   r   )r'   r   r   )r   r&   r%   r   r$   r&   r-  r   rH   rH   rI   test_combine_weights  s   z,TestWassersteinDistance.test_combine_weightsc                 C   s|   t ddd}t |}tt||t t | t t|}|d d d }tt||||t j	t ||d d S )NrY  r  r  r}   )r  )
rX   r   
zeros_liker   r@   r&  r  r  r  average)rD   r  r  	u_weights	v_weightsrH   rH   rI   test_collapse  s   

z%TestWassersteinDistance.test_collapsec              	   C   F   t tg dddgg dddgtddgddgddgddg d S N)r   r$   rA  r   )r   r   r   r$   r-  r   rH   rH   rI   r(    s   z(TestWassersteinDistance.test_zero_weightc                 C      t tddtjgddgtj t tddtjgtj dgtj t tdtj tjgddgtj t  }|td t tddtjgtjdgtj W d    d S 1 sZw   Y  d S Nr   r$   rh   )	r   r@   r&  rX   r   r   rZ   r[   r\   rk  rH   rH   rI   test_inf_values  s&   "z'TestWassersteinDistance.test_inf_valuesN)r   r   r   r   r  r1  r2  r6  r;  r(  r@  rH   rH   rH   rI   r,    s    	
r,  c                   @   s@   e Zd ZdZdd Zdd Zdd Zdd	 Zd
d Zdd Z	dS )TestEnergyDistancez0 Tests for energy_distance() output values.
    c                 C   s   t tddgdgddgdgtdd  t tddgdgddgdgtdd  t tddgdgddgdgd t tg dg d	tdd
  d S )Nr   r   r$   r-   r%   r  r   r  r   g3Ey?r   r@   energy_distancerX   r   r   rH   rH   rI   r    s$   zTestEnergyDistance.test_simplec                 C   r.  r/  )r   r@   rC  r   rH   rH   rI   r1    s
   z)TestEnergyDistance.test_same_distributionc                 C   s@   t tdgdgtd t tdgdgtdd  d S )Nr   r   r$   ry  r'   gS[:XL	@rB  r   rH   rH   rI   r2    s
   zTestEnergyDistance.test_shiftc              	   C   r3  r4  r   r@   rC  r   rH   rH   rI   r6  '  s   z'TestEnergyDistance.test_combine_weightsc              	   C   r<  r=  rD  r   rH   rH   rI   r(  /  s   z#TestEnergyDistance.test_zero_weightc                 C   r>  r?  )	r   r@   rC  rX   r   r   rZ   r[   r\   rk  rH   rH   rI   r@  5  s     "z"TestEnergyDistance.test_inf_valuesN)
r   r   r   r   r  r1  r2  r6  r(  r@  rH   rH   rH   rI   rA    s    rA  c                   @   sp   e Zd Zg dZg dZdZdd Zdd Zdd	 Zd
d Z	dd Z
dd Zdd Zdd Zdd Zdd ZdS )TestBrunnerMunzel)r   r$   r   r   r   r   r   r   r   r   r$   r&   r   r   r%   r%   r&   r%   r   r$   r%   r   r   r'   r&   rn  c           	      C   s   t j| j| jdd\}}t j| j| jdd\}}t j| j| jdd\}}t j| j| jdd\}}t||| jd t||| jd t||k t|d| jd t|d| jd t|d| jd t|d| jd t|d| jd t|d| jd d S )	Nr  r  r  r:   |	&	@|	&	gҏGg?g@-pL?)r@   brunnermunzelrB   r  r
   r;   r   r  rH   rH   rI   test_brunnermunzel_one_sidedL  s2   
z.TestBrunnerMunzel.test_brunnermunzel_one_sidedc                 C   t   t j| j| jdd\}}t j| j| jdd\}}t||| jd t|d| jd t|d| jd t|d| jd d S )Nr  r  r:   rG  rH   ҏGw?r@   rI  rB   r  r
   r;   r  rH   rH   rI   test_brunnermunzel_two_sidedc  s   
z.TestBrunnerMunzel.test_brunnermunzel_two_sidedc                 C   sl   t | j| j\}}t | j| j\}}t||| jd t|d| jd t|d| jd t|d| jd d S )Nr:   rG  rH  rL  rM  r  rH   rH   rI   test_brunnermunzel_defaultp  s   
z,TestBrunnerMunzel.test_brunnermunzel_defaultc                 C   6   d}d}d}t |dv tttj| j| j||| d S )Nr  r  r1  )r  r  r  r   rs   rt   r@   rI  rB   r  rD   r  distributionrk   rH   rH   rI   $test_brunnermunzel_alternative_error}     z6TestBrunnerMunzel.test_brunnermunzel_alternative_errorc                 C   rK  )Nr  )rS  r:   rG  rH  g "H[?rM  r  rH   rH   rI   $test_brunnermunzel_distribution_norm  s   
z6TestBrunnerMunzel.test_brunnermunzel_distribution_normc                 C   rP  )Nr  r  r1  )r  r  rQ  rR  rH   rH   rI   %test_brunnermunzel_distribution_error  rU  z7TestBrunnerMunzel.test_brunnermunzel_distribution_errorc                 C   s   t | jg \}}t g | j\}}t g g \}}t|tj t|tj t|tj t|tj t|tj t|tj d S r3  )r@   rI  rB   r  r   rX   r\   )rD   r  r/  r  rh  r  ri  rH   rH   rI   test_brunnermunzel_empty_imput  s   z0TestBrunnerMunzel.test_brunnermunzel_empty_imputc                 C   s   ddddddddddddddt jg}g d}tj||dd\}}tj||dd\}}t|t j t|t j t|t j t|t j d S )Nr   r$   r&   rF  r1  rj   )rX   r\   r@   rI  r   rD   rB   r  r  r/  r  rh  rH   rH   rI   &test_brunnermunzel_nan_input_propagate  s   $z8TestBrunnerMunzel.test_brunnermunzel_nan_input_propagatec                 C   sh   ddddddddddddddt jg}g d}d}d}d}tttj||||| tttj||||| d S )Nr   r$   r&   rF  r  r  rm   )rX   r\   rs   rt   r@   rI  )rD   rB   r  r  rS  rk   rH   rH   rI   "test_brunnermunzel_nan_input_raise  s*   $z4TestBrunnerMunzel.test_brunnermunzel_nan_input_raisec                 C   s   ddddddddddddddt jg}g d}tj||dd\}}tj||dd\}}t||| jd t|d| jd t|d	| jd t|d
| jd d S )Nr   r$   r&   rF  ri   rj   r:   rG  rH  rL  )rX   r\   r@   rI  r
   r;   rY  rH   rH   rI   !test_brunnermunzel_nan_input_omit  s   $
z3TestBrunnerMunzel.test_brunnermunzel_nan_input_omitN)r   r   r   rB   r  r;   rJ  rN  rO  rT  rV  rW  rX  rZ  r[  r\  rH   rH   rH   rI   rE  F  s    rE  c                   @   s0   e Zd ZdZdd Zdd Zdd Zdd	 Zd
S )TestRatioUniformsz# Tests for rvs_ratio_uniforms.
    c                 C   s   t jj}t|tdtd }t|d| |}}}t j||||ddd}tt |dd dkd	 t jd
d dddtd ddd}tt |dd dkd	 d S )Nr$   r   i	  i90  r  r  r   r  Tc                 S   s   t |  S r3  )rX   r:  r  rH   rH   rI   r    r  z6TestRatioUniforms.test_rv_generation.<locals>.<lambda>r}   r   )umaxvminvmaxr   r  expon)	r@   r  pdfrX   r   rvs_ratio_uniformsr   rc  r:  )rD   r  v_boundr^  r_  r`  r  rH   rH   rI   test_rv_generation  s   z$TestRatioUniforms.test_rv_generationc                 C   sR  t jj}t|tdtd }t|d| |}}}t j||||ddd}t j||||ddd}t j||||ddd}t|| t||  t|jd t|jd t j||||dd	d}	t j||||d
d	d}
t|	 |
 t|	jd t j||||dd}t j||||ddd}t j||||ddd}t|| t|| d S )Nr$   r   r%   r  r  r  )r%   r   )r%   r%   r%   r     r  r   r  )	r@   r  rb  rX   r   rc  r   r"  r  )rD   r  rd  r^  r_  r`  r  r  r  r4r5r6r7r8rH   rH   rI   
test_shape  sB   

zTestRatioUniforms.test_shapec                 C   s   t jj}t|tdtd }t|d| |}}}tjd t j||||dd}t j||||ddd}t|| d S )Nr$   r   r  r  r  r  )	r@   r  rb  rX   r   r  r  rc  r   )rD   r  rd  r^  r_  r`  r  r  rH   rH   rI   test_random_state  s   z#TestRatioUniforms.test_random_statec                 C   sd   t jj}ttt j|dddd ttt j|dddd ttt j|dddd ttt j|dddd d S )Nr   r%   )rb  r^  r_  r`  r}   r   )r@   r  rb  rs   rt   rc  )rD   r  rH   rH   rI   test_exceptions  s   
z!TestRatioUniforms.test_exceptionsN)r   r   r   r   re  rm  rn  ro  rH   rH   rH   rI   r]    s     
r]  c                   @   sb   e Zd ZdZdd Zdd Zdd Zdd	 Zd
d Ze	j
dddgdd Zdd Zdd ZdS )TestMGCErrorWarningsz1 Tests errors and warnings derived from MGC.
    c                 C   s8   t d}dgd }tttj|| tttj|| d S )Nr   r'   rX   r   rs   rt   r@   multiscale_graphcorrr   rH   rH   rI   test_error_notndarray-  s   

z*TestMGCErrorWarnings.test_error_notndarrayc                 C   s2   t ddd}|dd}tttj|| d S )Nr   r   r&   rd   )rX   r   rW   rs   rt   r@   rr  r   rH   rH   rI   test_error_shape4  s   z%TestMGCErrorWarnings.test_error_shapec                 C   s(   t d}t d}tttj|| d S )Nr%   rq  r   rH   rH   rI   test_error_lowsamples:  s   

z*TestMGCErrorWarnings.test_error_lowsamplesc                 C   sF   t jdtd}t j|d< tttj|| t d}tttj|| d S )Nr   rN   r   )rX   r   rd  r\   rs   rt   r@   rr  r   rH   rH   rI   test_error_nans@  s
   

z$TestMGCErrorWarnings.test_error_nansc                 C   &   t d}d}tttj|||d d S )Nr   r   )compute_distancerq  )rD   ru   rx  rH   rH   rI   test_error_wrongdisttypeI  s
   

z-TestMGCErrorWarnings.test_error_wrongdisttyper  r}   1c                 C   s"   t d}tttj|||d d S )Nr   r  rq  )rD   r  ru   rH   rH   rI   test_error_repsP  s   
z$TestMGCErrorWarnings.test_error_repsc                 C   rw  )Nr   r   r{  )rX   r   r   r[   r@   rr  )rD   ru   r  rH   rH   rI   test_warns_repsY  s   
z$TestMGCErrorWarnings.test_warns_repsc                 C   s.   t d}t dt j }tttj|| d S )Nr   )rX   r   r:  r   rs   rt   r@   rr  r   rH   rH   rI   test_error_infty_  s   
z%TestMGCErrorWarnings.test_error_inftyN)r   r   r   r   rs  rt  ru  rv  ry  r  r  r  r|  r}  r~  rH   rH   rH   rI   rp  *  s    	
rp  c                   @   s   e Zd ZdZdddZejjejdg dd	d
 Z	ejjejdddgdd Z
ejjdd Zejjdd Zejjdd Zejjdd ZdS )TestMGCStatz) Test validity of MGC test statistic
    r   r   r  c                 C   sp  |dkrt jjdd|dfd}|dt jj|jdfd  }n||dkrQt t jjdd|dfd}|t t j|  }|t t j|  d	t jj|jdfd  }nI|d
krt jj	dd|dfd}t jj	dd|dfd}t jj
dd|dfd}	t jj
dd|dfd}
|d d|	  d }|d d|
  d }ntd|dkrt jj	dd||d fd}t j||fdd}||fS )Nr}  r}   r   r  r  	nonlinearr   r'   rI  independencer-   )r   r   r%   r$   z3sim_type must be linear, nonlinear, or independencerP   )rX   r  r  random_sampler   r   r  pir  r  binomialrt   r  )rD   sampsdimssim_typeru   rE   unifr  r  u_2v_2
dims_noiserH   rH   rI   _simulationsi  s*   zTestMGCStat._simulationszsim_type, obs_stat, obs_pvalue))r}  rX  r  )r  w/?r  )r  gUN@g(\?c           	      C   sR   t jd | jdd|d\}}t||\}}}t||dd t||dd d S )Nr  r   r   r  r  r  r:   rX   r  r  r  r@   rr  r
   	rD   r  obs_stat
obs_pvalueru   rE   r  r  r  rH   rH   rI   	test_oned  s
   zTestMGCStat.test_oned)r}  gZd;O?r  )r  g~jt?gʡE?c           	      C   sR   t jd | jdd|d\}}t||\}}}t||dd t||dd d S )Nr  r   r'   r  r   r:   r  r  rH   rH   rI   
test_fived  s
   zTestMGCStat.test_fivedc                 C   s   t jd t jjdddd}t jjdddd}t||\}}}t|d	dd
 t|ddd
 t jjdddd}tj||dd\}}}t|d	dd
 t|ddd
 d S )Nr  r   r-   )r   r'   r  r   r   )r  r'   r   r:   r  T)
is_twosamp)rX   r  r  r  r  r@   rr  r
   rD   ru   rE   r  r  r  rH   rH   rI   test_twosamp  s   zTestMGCStat.test_twosampc                 C   sV   t jd | jdddd\}}tj||dd\}}}t|ddd	 t|d
dd	 d S )Nr  r   r   r}  r  r$   )workersrX  r:   r  r  r  rH   rH   rI   test_workers  s
   zTestMGCStat.test_workersc                 C   sJ   | j dddd\}}tj||dd\}}}t|ddd t|ddd d S )	Nr   r   r}  r  rg  rX  r:   r  )r  r@   rr  r
   r  rH   rH   rI   rn    s   zTestMGCStat.test_random_statec                 C   st   t jd | jdddd\}}t||dd}t||dd}tj||d dd\}}}t|d	dd
 t|ddd
 d S )Nr  r   r   r  r  	euclidean)metric)rx  r  r  r:   r  )rX   r  r  r  r   r@   rr  r
   )rD   ru   rE   distxdisty	stat_distpvalue_distr  rH   rH   rI   test_dist_perm  s   zTestMGCStat.test_dist_permN)r   r   r  )r   r   r   r   r  r  r  r  r  r  r  r  r  rn  r  rH   rH   rH   rI   r  f  s(    
"


	r  c                   @   s:  e Zd Zejdedd Zdd Zdde	j
dgZee	jdkr,ee	j
d de fd	d
gZejdeejdedd Zee	jdkr_dejjdddejjdddgZng Zde fddddgZde fde fdgZejdeejdeejdedd Zdd Zdd Zdd  ZdS )!TestNumericalInverseHermite)distnameshapesc              	   C   s  h d}h d}||v rt d ||v rt d tjd tt|| }tj	 }|
td |
td |
td t|}W d    n1 sNw   Y  tjd	}tt|||| t|| }	tt|||| }
|	d
k sJ |
dk sJ d S )N>   ksonekstwor  levy_stable>   ncfnctrL  
gausshypergeninvgaussnorminvgaussgenhyperbolicstudentized_rangezDistribution is too slowz)Fails - usually due to inaccurate CDF/PDFr   zoverflow encounteredzdivide by zerozinvalid value encounteredrd   g:0yE>r,   )r  skipxfailrX   r  r  getattrr@   r   r   r  r[   NumericalInverseHermiter(  r  r  ppfri  )rD   r  r  
slow_dists
fail_distsdistr^   fniru   p_tolu_tolrH   rH   rI   r     s&   

0 z&TestNumericalInverseHermite.test_basicc                 C   s~  d}t jt|d td W d    n1 sw   Y  d}t jt|d tjt dd W d    n1 s;w   Y  d}t jt|d tjt dd	 W d    n1 s]w   Y  d
}t jt|d tt }|jdd W d    n1 sw   Y  ttj	dkrtt }d}t jt|d |jdtj
dd W d    d S 1 sw   Y  d S d S )Nz0`dist` must have methods `pdf`, `cdf`, and `ppf`ro   r  z!could not convert string to floatekkitolz`max_intervals' must be...r}   )max_intervalsz&`qmc_engine` must be an instance of...r   )
qmc_enginer  6`d` must be consistent with dimension of `qmc_engine`.r%   r$   r~  r  )r  r   rt   r@   r  r  qrvsr   rX   r  qmcHalton)rD   rp   r  rH   rH   rI   r    s0   "z1TestNumericalInverseHermite.test_input_validationNr   r  )r*   r  )r  r  r  zsize_in, size_outc           
      C   sp   t  }t |}t|}|j||d}|j|ksJ |d ur6t|}|j|d}t j|}	t	||	 d S d S )Nr  r  )
r@   r  r  r   r  r  r   r  r  r   )
rD   r  size_insize_outr  r  rng2r  r  r  rH   rH   rI   test_RVS$  s   
z$TestNumericalInverseHermite.test_RVSr   r  r%   )r   r  )r&   r  )r  r  )rs  rs  )r%   r  qrngzd_in, d_outc                 C   s  t  }t |}|d ur:|d ur:|j|kr:d}tjt|d |j|||d W d    d S 1 s3w   Y  d S |d u rK|d urK|jdkrK|jf}|| }	t|}
|j|||d}|j	|	ksbJ |
d ur|

t|pnd}t j||	}t||dd d S d S )Nr  ro   r  r   r   r~  r  r,   r   )r@   r  r  r~  r  r   rt   r  r   r  r  rX   prodr  rW   r   )rD   r  r  r  d_ind_outr  r  rp   shape_expectedqrng2r  r  qrvs2rH   rH   rI   	test_QRVS>  s*   

z%TestNumericalInverseHermite.test_QRVSc                 C   s   t tjdkrtd t }t|}d}d}tjj	|dd}tjj	|dd}|
t|}|j|||d}tj|}	t|D ]}
|d|
f }|	d d |
f |}t||d	d
 qCd S )Nr  z$QMC doesn't play well with old NumPyr  r'   r   r  r  .r,   r   )r   rX   r  r  r  r@   r  r  r  r  r  r  r  r  r:  rW   r   )rD   r  r  r   r~  r  r  r  r  r  r6  samplesample2rH   rH   rI   test_QRVS_size_tuple[  s    


z0TestNumericalInverseHermite.test_QRVS_size_tuplec                 C   s^   d}d}t jt|d ttj|  W d    n1 sw   Y  tjtj| dd d S )N)gdsz@g@e?z.The interpolating spline could not be created.ro   rC  r  )r  r   rt   r@   r  rL  )rD   r  rp   rH   rH   rI   test_inaccurate_CDFz  s   z/TestNumericalInverseHermite.test_inaccurate_CDFc                 C   sN   G dd d}| }t |}t  }t |}t|jdd|jdd d S )Nc                   @   r  )zFTestNumericalInverseHermite.test_custom_distribution.<locals>.MyNormalc                 S   s(   dt dt j  t |d  d  S r   )rX   r   r  r:  r#  rH   rH   rI   rb    s   (zJTestNumericalInverseHermite.test_custom_distribution.<locals>.MyNormal.pdfc                 S   
   t |S r3  )r   ndtrr#  rH   rH   rI   ri    r  zJTestNumericalInverseHermite.test_custom_distribution.<locals>.MyNormal.cdfc                 S   r  r3  )r   ndtrir#  rH   rH   rI   r    r  zJTestNumericalInverseHermite.test_custom_distribution.<locals>.MyNormal.ppfN)r   r   r   rb  ri  r  rH   rH   rH   rI   MyNormal  s    r  r   rg  )r@   r  r  r   r  )rD   r  dist1fni1dist2fni2rH   rH   rI   test_custom_distribution  s   

z4TestNumericalInverseHermite.test_custom_distribution)r   r   r   r  r  r  r   r   r  rX   r  r  rngsr   r  r  r  r  sizesr  r@   r  Sobolr  qrngsdsr  r  r  r  rH   rH   rH   rI   r    s2    
$r  c                    @   s  e Zd Zejd ejddZejddZdddd	efd
ddd	efdddd	g dg dg dgfddddg dg dg dgfddddg dg dg dg dg dg dg dg dg dg dg dg dg dg dgfddddg dg dg dg dg dg dg dg dg dg dg dg dg dg d g d!g d!g d!g d!g d!g d!g d!gfd"d#ddg d$g d$g d%gfd&d'ddg d(g d(g d(g d(g d(g d(g d)g d*g d*g d*g
fd+d,ddg dg dg dg dg dg dg dg dg dg dg dg dg d g d!g d!g d!g d!g d!g d!gfd-d.ddg d/g d/g d0g d1gfd2d3ddg dg dg dg dg dg dg dg dg dg d g d!gfgZ	e
jd4e	d5d6 Zd7d8ddg d9g d:gfd;d<ddg d9g d9g d9g d=g d>gfd?d@ddg dAg dAg dAg dAg dAg dAg dAg dAg dAg dBg dCg dCg dCg dCg dCgfgZe
jd4e	e
j dDdE ZdFdG ZdHdI ZdJdK ZdLS )MTestPageTrendTestr   r%   r   rd      i2  g:hў?Fr  i  gsH?i,0  gY@?)r-  r+  I   r4  r+  `   r  ;   r  r  r)  1   r(  +   r   r+  r   r   r.  r   =   r   r  r  r  )D   r  r  "   r=  r   A   X   r   r(  r/  r  r  C   E   ^   r  r  r  W   r   r  r  r  r  )r(  rn  U   r4  O   r  \   V   r   @   r   r  r  rK  r   Y   r  r  r  r  6   rn  B   r  r_  i
  gXY?r  )r.   r  g @r'   r]  r   )r'   r&   r0   rd   r   r   )rY  r  rd   r  r=  r   iL  gs˜?T)r&   r%   r$   r   )r%   r&   r   r$   r      gĞ?)r%   r$   r   r0  r      g>K=?)r(   r'   r&   r%   r$   r   )r   r%   r&   r'   r$   r(   i  gqူ?)r'   r&   r%   r$   r   )r&   r   r%   r$   r'   r}     ga?i  g;?)r)   r(   r'   r&   r%   r$   r   )r(   r'   r)   r&   r%   r$   r   )r   r$   r%   r&   r'   r(   r)   u   g[^6?zL, p, ranked, method, datac                 C   D   t jd tj|||d}t||j t||j t||j	 d S Nr  )rankedr  
rX   r  r  r@   page_trend_testr   r  r   r  r  rD   Lr   r  r  r  r   rH   rH   rI   test_accuracy  s
   zTestPageTrendTest.test_accuracyi  g-lpW?)
rd   r+   r*   r)   r(   r'   r&   r%   r$   r   )
r   r*   r&   r)   r(   r'   r+   r%   r$   rd   i*  gh[?)
r+   r$   r*   r)   r(   r'   r&   r%   rd   r   r  i  g&]2?)r*   r)   r(   r'   r&   r%   r$   r   )r   r%   r'   r(   r&   r)   r$   r*   )r   r$   r%   r&   r'   r(   r)   r*   c                 C   r  r   r  r  rH   rH   rI   test_accuracy2  s
   z TestPageTrendTest.test_accuracy2c                 C   s   t jd d\}}t d|d }t jt |}t j||}tj|dd}t|}tj|dd}tj|dd}	tj||d}
tj|d d |f || d}t	|j
|j
 t	|j
|	j
 t	|j
|
j
 t	|j
|j
 d S )	Nr  )rd   r   r   rP   Tr  F)predicted_ranks)rX   r  r  r   permutationr(  r@   rankdatar  r   r  )rD   r<  r=  r	  permr  ranksr\  r]  ry  res4res5rH   rH   rI   test_options  s"   
zTestPageTrendTest.test_optionsc                 C   s   t jd g dg dg dg dg dg dg}t |j}t dd	}tj|d
|dd}t|j	d t
|jddd tj|d
|dd}t|j	d t
|jddd d S )Nr  )r  r  o   )r*  r|  k   )g      y   )r#  rZ  r   )r         )   r  t   r   r)   Fr  )r  r	  r  i  gy&1l?r&   rR   r  gHPsb?)rX   r  r  r   r   r   r@   r  r   r  r   r  )rD   r  r	  r   rH   rH   rI   test_Ames_assay  s$   z!TestPageTrendTest.test_Ames_assayc                 C   s  t tdd td  W d    n1 sw   Y  t tdd tg  W d    n1 s1w   Y  t tdd tddg W d    n1 sNw   Y  t tdd tdggg W d    n1 slw   Y  t tdd ttjdd W d    n1 sw   Y  t tdd ttjdd W d    n1 sw   Y  d}t t|d tjg dg dgg d	d
 W d    n1 sw   Y  t t|d tjg dg dgg dd
 W d    n1 sw   Y  t t|d tjg dg dgg dd
 W d    n	1 sw   Y  t t|d tjg dg dgdd
 W d    n	1 sBw   Y  t tdd tg dg dgd W d    n	1 sew   Y  t tdd tg dg dgd W d    n	1 sw   Y  t tdd tjg dddtjggdd W d    n	1 sw   Y  t tdd tjg dg dgdd W d    n	1 sw   Y  t tdd tjg dg dgdd W d    d S 1 sw   Y  d S )Nz`data` must be a 2d array.ro   r   r$   zPage's L is only appropriater%   z+`predicted_ranks` must include each integerr   r  )r  r	  )rz  r$   r%   )r   r$   r%   r%   rX  z`data` is not properly ranked)r   r$   r%   Tr5  z`data` contains NaNsFr  z`method` must be inr  )r  r  z`ranked` must be boolean.)r  r  )	rs   rt   r@   r  rX   r  r(  r\   r]  )rD   r  rH   rH   rI   r  (  sx   $z'TestPageTrendTest.test_input_validationN)r   r   r   rX   r  r  r(  	data_3_25
data_10_26tsr  r  r  r  ts2r  r  r  r  r  rH   rH   rH   rI   r    s    $$$$$$$,
r  r  )NNr   N)NNr   )r   r  r  collectionsr   	itertoolsr   copyr   numpy.testingr   r   r   r   r	   r
   r   r   r   r   r  r   rs   numpy.ma.testutilsr  	testutilsrA  numpyr   r   r   r   r   rX   scipy._lib._utilr   scipyr   scipy.statsr@   scipy.stats.mstatsr]  scipy.stats.mstats_basicr  scipy.stats._ksstatsr   scipy.special._testutilsr   scipy.specialr   common_testsr   scipy.sparse.sputilsr   scipy.spatial.distancer   scipy.stats._distr_paramsr   	numpy.libr   r  r    r!   r"   r#   rd  rB   r  r   r   r   r   r   r6   r   r   r  r|  r  r  r  r  r  r  r  r  r  rd  ro  ru  rw  r  r  r  r  r5  r_  rw  ry  r  r  r  PowerDivCaser  r#  r   r1  r  r8  r  r  r  rx  r;  rJ  rQ  r^  r_  rs  r  r  r  r  r  r  r  r  r  r  r  r2  rK  rQ  rR  rT  rU  rW  rX  rb  rc  rl  rm  r  r  r  r  r  r  r  r  r  r  r  r  r(  rK  r^  rl  rm  r}  r  r  r  r  r$  r,  rA  rE  r]  rp  r  r  r  rH   rH   rH   rI   <module>   s   0m r  ~ I Z
S

& {u+| R?H _ jEN,,	 -
K-5"D WW


e xH k
:bc(~
+
J Q^K/ n ;^-&]C L<  7